19001   5920223445163361222163069132289709343247505491321361667723012143662083: {19001,1081803,1613215,1935858,2181895,2296459,2618274,3454178,3507415,3547951,4208898,4483803,4934540,5046818,5845532,5921448,6233563,6412874,6465019,6661629,7147543,7209740,7472215,7848895,7864203,8285083,8350760,8651688,8905090,8961931,8966658,9031148,9166015,9394605,9418674,9733149,10020912,10098751,10686108,10852556,10987291,10999218,11273526,11892171,11917663,11981815,12095842,12901640,12918415,13509211,13561311,13949565,14378178,14514345,14775739,14788615,14825938,14879536,15190351,15481968,15502098,15696130,16433659,16456412,16606625,16739478,17090194,17214411,17417214,17460391,17746338,18144895,18365864,18703015,18835356,18866271,19335218,19927950,20661597,20917778,20931895,21256480,21546463,21773874,21866143,22414615,22443618,22812188,22827991,23468551,23509160,23723750,23913540,25118274,25139611,25275298,25419711,25507776,25510939,25673083,25898145,25921063,25925815,26447805,26478895,26540551,26897538,27175819,27376796,27621740,27624688,28210992,28468500,28696248,29078503,29141851,29548354,29606215,29803723,29882540,29955711,30278091,30366400,30679341,30789416,30831125,31077774,31080631,31110978,31291579,31565451,31737366,31774674,31802839,32283279,32360143,32588840,32896663,32931451,32956898,33146088,33169791,33350671,33453415,33453559,34129803,34162200,34339483,34483771,34588219,34638093,34768731,35279215,35527458,35859048,35896874,35913730,36439680,36445351,36454028,36491143,36523025,36662445,36808471,36997350,37004242,37030090,37084471,37289349,37610972,37950411,38010415,38219131,38355751,38432475,38666348,38868992,38900703,39106608,39463840,39906031,40009183,40144098,40341429,40511743,40724431,40994640,41094895,41235825,41596699,41831132,42054303,42335058,42361615,42996171,43096476,43502312,43727616,43827630,43854242,43984880,43994934,44348215,44396820,44436108,44639132,45186303,45349928,45554173,45612498,45651154,46118970,46509895,46672951,46749472,47044930,47266399,47304583,47356608,47676351,47946763,48074191,48152498,48940101,48990056,49193568,49262530,49313874,49482990,49703599,50769471,50833938,51018669,51340738,51352615,51888895,52175750,52190551,52357298,52424815,52583530,52593156,52781856,53217858,53276184,53332978,53729960,54452703,54793930,55063551,55099015,55113813,55237640,55342764,55773212,55801339,55811874,55978203,56361703,56453916,56699215,57018511,57498303,57856831,58150858,58253143,58262025,58407771,59004895,59078839,59115036,59379588,59758760,59919231,59935707,60200258,60228283,60446205,60748556,61020871,61623138,61691432,61754242,61800943,62142345,62146160,62266674,62272418,62538895,62580271,62610900,62626251,62909778,62917663,63100236,63594811,63598954,63900859,63949003,64475952,64713442,64827415,65077390,65460343,65752716,65906828,65911071,66118818,66285168,66407815,66505503,66784960,67228605,67338751,67459615,67809895,68039058,68579211,69174812,69402861,69826796,69914430,69940274,70431895,70805874,71710512,71786156,71949405,72211663,72367471,72383263,72494698,72523015,72535446,72882994,73863003,74557930,74570814,74575392,74796140,75046674,75128815,75133080,75213992,75318303,76188891,76382551,76385551,76505179,76746032,76768203,76790071,76943191,77379895,77792898,77826082,78092868,78095119,78212703,78243895,78251911,78476012,78984994,79004503,79451815,79651292,79689378,79880552,80141952,80225931,80674326,80951538,81085503,81195631,81268783,81371874,81721639,81851378,81943131,82033615,82187265,82349911,82513803,82531291,83001823,83063815,83368191,83518376,83836711,83897316,83936703,84504351,84518274,84524715,84606415,84615741,84832796,85111963,85462015,85974895,86167628,86202111,86210791,86339286,86475074,87027618,87544891,87666416,87699212,88173003,88533895,88957903,89328139,89469516,89755368,89865621,89970511,90133311,90154578,90159696,90744415,90849730,90970203,91433362,91573999,91592815,92352523,92360703,92855874,92873218,92967700,93099871,93286615,93538843,93892674,93958173,94154818,94192616,94298331,94303274,94923451,95068219,95152651,95342178,95642143,95675871,96294812,96894031,97127191,97203938,97335415,97343131,97554463,97839895,98340333,98440338,98582242,98624718,98750983,98821160,99120571,99348391,99676578,99776091,99844639,...,8127109950240359854124992383043900070675067765378070876616087080674678763293992849040518982916862778351205083371013635645033971879689349045599556827955119668750803076481641200188677089822987227123974755476803695551078698771677190049714975372026180221907992569397470699354740870551642762565109309960153734067259806685639209102934447336047052727545384986094362397141491860412754846175637879216847299122173439018588590064726518149985228925792081883605057005349544085128061823015786694662476467992538774968086068817332639756171005120874186395296694105190166147676052960083938318189433750042111443869279949477842094269361317186374767118687266064562609520948875111184236984410720246790307786177781717963762246966514202183086688108959670006521125559848302901192067397873562947008776598934263497352353370240647791074793573750376841727137196725630008979941067013159940043191306937913687816593926941530788412335959108261775546337433629497249935339624484114590181985758877680193293078835953812276562571906727754171584079963041954282086796990858165666712677635990502412627340289301952156635153531106699492341247603117148408754613048935029746188029761694484912068786148296279329554379462284033407140943025370612597932449952118263078069805635029438853633095559169191380783307912404768757279148206032871411650045485032818992223366853850705385406068964820181280044628801731834985062492600492560389059252530008087912605640642572629968553827136816352886820809241431317213484347354237170890663043961967432778534734632394767740103976788463875771938414837121916225306529674345352022427105649018653049506203040926219193917776860711310877727964929260693947596803423161947905981833255358767692870201479111479357744797817575228018790443350870062987229946221293913859136759929490521346969105427785365824748861089277487434767958131704546528404901253117758165956158291648294130908653559294584603504098816052716939815482995067233666164621593222595104601549628372322977768491118839162602218521982152246221572149323228963871730441161151897542779163004788230663545739714756515863895606589872460523415414580237518551068044870890891228111258549886273593363049226858349704959498640960694888643471177885615473200304145230711709434954272292084220663066995993001069362743948313686616093546268310907128343238927923417643671351241638387484173988931798146988639120379422063240794496109474542106284366053515732419969801364771890059909816159940834583564250169665553901668959338361422010263977201369763819930019340783046074128495989804451334414423629724326134362970977780229193022624345203408512396123743498748398729198554891159525432578413152500939035380836436637824147438986803395645682308261420279856255581928791562316583353343061231708071646078076184996989729044309004554375343892311384108739688450786349923234881282957914979911560388358994896435152017077528080073985243802052582871673977171766443214710634089852959431710760015357473998212205147835922602431442371189453126285444699774536020744670784565715233891973735628967039754056014502174312215820749669867046}
19002   5943809631566685337555024227858317291479333791789567931953062293019417: {436517,550217,815237,1442404,1554638,1570277,1683257,1946597,2008382,2581144,2903787,3070757,3140222,3366158,3491032,3741797,3817598,3927411,4299017,4943678,5076101,5181267,5297477,5611864,5812901,5978404,6168175,6180101,6313347,7306915,7401810,7408382,7570227,7604537,7786277,7895264,8330297,8522942,8547401,8583557,8768298,8872517,8882172,9012175,9232997,9411998,9412937,9619311,9628601,9633902,9987401,10077278,10381157,10438450,10485604,10488377,10520078,10814610,11059001,11288935,11535584,11592101,11955544,12123401,12335417,12526140,12558232,12652901,12829001,12977532,13019594,13357635,13361216,13391177,13449987,13546722,13565695,13706501,14021177,14091017,14128011,14248144,14260622,14665624,14752901,14926601,15031368,15481097,15584837,15856228,15964601,15999077,16029162,16070131,16127050,16278834,16498827,16910289,16995401,17092958,17200697,17743118,18081748,18143763,18222857,18358601,18528101,18599420,19069157,19170904,19352460,19540901,19574537,20545502,20546501,20570515,20642624,20669464,20746757,21567267,21578057,21616862,22044398,22238907,22319304,22832057,22952548,22957330,23222952,23253147,23323877,23356601,23544195,23661784,23748782,24171602,24173438,24684618,25014917,25109217,25111817,25113808,25155028,25176377,25466501,25635291,25980677,26125821,26140937,26428901,26570600,26619507,26748101,26940739,27098297,27129902,27193637,27384101,27548796,27574277,27859001,27985337,28048457,28143077,28253034,28515235,28928777,29002827,29031832,29386450,29433038,29553737,29891925,29924824,31097102,31132901,31376667,31884720,31925678,32174117,32660811,32958158,33236297,33491032,33598217,33665427,33892948,33987038,34010368,34218282,34220995,34397582,34527175,34530860,34587557,35212601,35263740,35479397,35585625,35686457,35863384,35870310,35952101,36441662,36645278,36657317,37353175,37532357,37590437,37614656,37677411,37912947,37958000,38025017,38064523,38066558,38261664,38486770,38544137,38572901,39003401,39077438,39146501,39279182,39432101,39603077,39681187,39682238,39830597,39940948,40346307,40370788,40425401,40736050,40876217,40905788,41065194,41432610,41437032,41481304,41488862,41548601,41938697,41966501,42087268,42316488,42366232,42487502,42520901,42702750,42866299,42934601,43044372,43099577,43283822,43510757,43783877,44194784,44226388,44322531,44409017,44679497,44733497,44823810,45506404,45549600,45567535,45619877,46179401,46184124,46358308,46616661,46642478,46666467,47013715,47209157,47369944,47601977,47606049,47662011,47812064,48019001,48148901,48332935,48403742,48586240,48883260,49026917,49078277,49155257,49329800,49435347,49564601,49719132,50153342,50600548,50931017,51231497,51243300,51456101,51511603,51867604,51891278,52051877,52101317,52142144,52200101,52288915,52544837,52569401,52716617,52851758,53234942,53291187,53448377,53525464,53787401,53788572,53845311,53870595,53980003,54148901,54377890,54469207,54604217,54659520,54681042,54747401,54961637,54981100,55142222,55496025,55506363,55545135,55798915,55901102,55952837,56072404,56090462,56280101,56303417,56416458,56446744,56687410,56999177,57068357,57321401,57328228,57413177,57461968,57788222,57801797,57999522,58303488,58369097,58436840,58481957,58659912,58684601,59020901,59100638,59110277,59195760,59221817,59248144,59886857,60216147,60216677,60248404,60566501,60805817,60816664,60870917,61216901,61237570,61453577,61491960,61732037,62258558,62369477,62496101,62622437,62746698,62811401,62916101,63104057,63142144,63502587,63568468,63725897,63869957,63972617,64279742,64340537,64644714,64665401,64766501,65010398,65088677,65192702,65253468,65388857,65488517,65591424,65741445,65751832,65781363,65812243,65977320,65992401,66082277,66160901,66595230,66654162,66958698,67017317,67152778,67162450,67188542,67369118,67420601,67692628,67706501,67778584,67782437,68024892,68418747,68476731,69047050,69178455,69274277,69384101,69566501,69716515,69729977,69766217,69882062,69895483,69946937,70036997,70060478,70124208,70359557,70375808,70567395,70732601,70891397,70909001,70950398,70957144,71034912,71067077,71305358,71520101,71836718,72228747,72393017,72443717,72460601,72603604,72696137,72813317,72896777,73078579,73418068,73485084,73790352,73850297,73893795,73970811,74092517,74224485,74284997,74299262,74415832,74637604,74698450,74902601,74980901,74997662,75271888,75737657,75768137,75904901,75935695,76146437,76250907,76445477,76664404,76708114,76733582,76858757,76888037,76946501,77011107,77079038,77114290,77164601,77323397,77581157,77680697,77682700,77877028,77940158,78214217,78263625,78283598,78311237,78535947,78558917,78640901,78790457,78820048,78875295,78889734,79139678,79172784,79193417,79392197,79444901,79481102,79510601,79784357,79826787,79892308,79914276,79999467,80016197,80296037,80409401,80584457,80594940,80954297,81010382,81208901,81436217,81566501,81672377,81742601,82164184,82190895,82192037,82271417,82305317,82383535,82418539,82429001,82607177,82761401,82772357,82856460,82924901,83014146,83022232,83193401,83415077,83481200,83501668,83659818,83717811,83807237,83817401,83867198,83879704,83968901,83992051,84133648,84227237,84354377,84402917,84680874,84699518,85034057,85061477,85349477,85516601,85723577,85967936,86066501,86260997,86468515,86497637,86620901,86666597,86839097,86927417,86956601,86992901,87036197,87107717,87171401,87173482,87226287,87234437,87283495,87338057,87473417,87513401,87553097,87651077,87670288,87766277,87810377,87881428,87992798,88042937,88158424,88172297,88286537,88336901,88380224,88500101,88630601,88656101,88672554,88674004,88736357,88751177,88761017,88804901,88809737,88852901,88973957,89032457,89069382,89149637,89269001,89343557,89351237,89407817,89576777,89596601,89609657,89625797,89638140,89648057,89676101,89732695,89747717,89806601,89830757,89859401,89861957,89934917,89946377,89955401,89979557,90046217,90102542,90146501,90161417,90177797,90190601,90220601,90221477,90237317,90243401,90252101,90267557,90268901,90300387,90718744,91122834,91438948,92178658,92347358,92434707,92537148,92631363,92859247,93219240,93300782,93400011,93408627,93459182,93495175,93617438,93916350,94017490,94091342,94364667,94406558,94407832,94650354,95398431,95614016,95932540,95973998,96713928,97062638,97070163,97592803,97616085,98095015,98484004,98629074,98860242,99065678,99178227,99427752,99433856,99564115,99850690,...,12190664925360539781187488574565850106012601648067106314924130621012018144940989273560778474375294167526807625056520453467550957819534023568399335241932679503126204614722461800283015634734480840685962133215205543326618048157515785074572463058039270332861988854096206049032111305827464143847663964940230601100889710028458813654401671004070579091318077479141543595712237790619132269263456818825270948683260158527882885097089777224977843388688122825407585508024316127692092734523680041993714701988808162452129103225998959634256507681311279592945041157785249221514079440125907477284150625063167165803919924216763141404041975779562150678030899096843914281423312666776355476616080370185461679266672576945643370449771303274630032163439505009781688339772454351788101096810344420513164898401395246028530055360971686612190360625565262590705795088445013469911600519739910064786960406870531724890890412296182618503938662392663319506150444245874903009436726171885272978638316520289939618253930718414843857860091631257376119944562931423130195486287248500069016453985753618941010433952928234952730296660049238511871404675722613131919573402544619282044642541727368103179222444418994331569193426050110711414538055918896898674928177394617104708452544158280449643338753787071174961868607153135918722309049307117475068227549228488335050280776058078109103447230271920066943202597752477593738900738840583588878795012131868908460963858944952830740705224529330231213862146975820226521031355756335994565942951149167802101948592151610155965182695813657907622255682874337959794511518028033640658473527979574259304561389328790876665291066966316591947393891040921395205134742921858972749883038151539305302218667219036617196726362842028185665026305094480844919331940870788705139894235782020453658141678048737123291633916231152151937197556819792607351879676637248934237437472441196362980338941876905256148224079075409723224492600850499246932389833892656902324442558484466652736678258743903327782973228369332358223984843445807595661741727846314168744507182345995318609572134773795843409884808690785123121870356277826602067306336336842166887824829410390044573840287524557439247961441042332965206766828423209800456217846067564152431408438126330994600493989501604044115922470529924140319402466360692514858391885126465507026862457581226260983397697220482958680569133094861191744164211813159426549080273598629954702047157835089864724239911251875346375254498330852503439007542133015395965802054645729895029011174569111192743984706677001621635444586489201544456466670343789533936517805112768594185615248122598093797832336739288148867619728751408553071254654956736221158480205093468523462392130419784383372893187343474875030014591847562107469117114277495484593566463506831563015838467076163109532676179524884852321924436872469867340582538492344652728025616292120110977865703078874307510965757649664822065951134779439147566140023036210997318307721753883903647163556784179689428167049661804031117006176848572850837960603443450559631084021753261468323731124504800569}
19003   5967489108793649597386269713876903745191279878690984913667379771577109: {38002,1803005,2163606,2258501,2331957,2713997,3012573,3054653,3226430,3871716,3965357,4193033,4363790,4592918,4710333,4910381,5049237,5236548,5726397,6908356,7014830,7095902,7415517,7473005,7640477,8417796,8967606,9869080,10093636,10461101,10591373,10988453,11102715,11112573,11691064,11842896,12467126,12784413,12825748,12832421,12930038,13107005,13152447,13319741,13323258,14117997,14295086,14419480,14450853,14944430,15115917,15191957,15657675,15697790,15728406,15780117,16221915,16435397,16570166,16701520,16774541,17303376,17462237,17810180,17923862,17933316,17952233,18062296,18085781,18332030,18789210,18837348,19421597,19466298,19529391,19820285,20041824,20197502,20320083,20704061,21372216,21390933,21548741,21705112,21974582,21998436,22547052,22602185,23249275,23471033,23784342,23835326,23963630,24043743,24081341,24190575,24191684,24418251,25402853,25513637,25639437,25803280,25836830,26184221,26229557,26543357,26614677,27018422,27122622,27899130,28690685,28756356,29028690,29144933,29304653,29551478,29577230,29651876,29759072,30380702,30818253,30963936,31004196,31083917,31380461,31392260,31443785,32116877,32425293,32867318,32900141,32912824,33066597,33213250,33354197,33457097,33478956,34180388,34428822,34435995,34591877,34834428,34920782,34977533,35492676,35623173,35760701,36257403,36260157,36289790,36296141,36731728,36980957,37026927,37070453,37088393,37406030,37670712,37732542,38223173,38670436,39855900,40694853,40716581,41137877,41323194,41448701,41835556,41863790,42366185,42379551,42512960,42768437,43092926,43163575,43547748,43732286,44079675,44149557,44829230,44887236,45624376,45655982,46645653,46834781,46850621,46937102,47018320,47161673,47447500,47827080,47888517,48128873,49390901,49437237,49572077,49926185,50236548,50279222,50463485,50550596,50839422,50980557,51015552,51021878,51132235,51327423,51346166,51596373,51796290,51842126,51851630,52609085,52895610,52957790,53081102,53214581,53795076,53805465,54351638,54662493,54753592,54967917,55243480,55249376,55282985,56421984,56814953,56883005,56937000,57099837,57392496,57532853,57730155,57947885,58157006,58283702,58616157,58740617,58918773,59096708,59212430,59306261,59523357,59607446,59765080,59911422,60248717,60556182,60732800,61104075,61358682,61578832,61597791,61659833,61662250,62087501,62148915,62155548,62161262,62221956,62233293,62583158,63130902,63250685,63474732,63549348,63556421,63605678,63731253,64054125,64311797,64566558,64663517,64720286,64834505,64925733,65113853,65177680,65793326,65862902,65913796,65947037,66063077,66292176,66339582,66701342,66906830,66907118,67235715,67385513,67720841,67944701,68199797,68259606,68324400,68678966,68726375,68967542,69176438,69276186,69537462,69963717,70090505,70319741,70558430,71054916,71660285,71718096,71793748,71827460,71893661,72605613,72644453,72879360,72890702,72908056,72982286,73021001,73046050,73324890,73394741,73616942,73994700,74008484,74060180,74168942,74578698,74662781,75221944,75230013,75260957,75310505,75519197,75900822,76020830,76438262,76711502,76864950,77138621,77332696,77737984,77801406,77836917,78213216,78927680,79277637,79378901,79460585,79641557,79812062,79852413,80018366,80288196,80682858,80898941,81023486,81448862,81566835,81904637,81989280,82021563,82189790,82471650,82606853,82713333,83193398,83395493,83604917,83662264,83851653,84023657,84108606,84135693,84615785,84624687,84670116,84702941,84723230,85031115,85525193,85824197,85978181,85992342,86192952,86682333,86999283,87004624,87455232,87554453,87655260,87708484,87969760,87989868,88524461,88650957,88696430,88793640,88872216,89278264,89592437,90273833,90372606,90699856,90754505,90758381,91108346,91224996,91302308,91772585,91856355,92237940,92970941,93019790,93297005,93345902,93387837,93498944,94089860,94120047,94443461,94532798,94609166,94713216,94933853,95352702,95483117,95830505,95893526,95958473,96148382,96204653,96304996,96353237,96419613,96967071,97103375,97346285,97485701,97515597,97746197,97789053,97880202,97980112,98387136,98525060,98604653,98627748,98644457,98965980,99407198,99865385,99892845,99981243,...,16254219900480719708249984766087800141350135530756141753232174161349357526587985698081037965833725556702410166742027271290067943759378698091199113655910239337501606152963282400377354179645974454247949510953607391102157397543354380099429950744052360443815985138794941398709481741103285525130218619920307468134519613371278418205868894672094105455090769972188724794282983720825509692351275758433694598244346878037177180129453036299970457851584163767210114010699088170256123646031573389324952935985077549936172137634665279512342010241748372790593388210380332295352105920167876636378867500084222887738559898955684188538722634372749534237374532129125219041897750222368473968821440493580615572355563435927524493933028404366173376217919340013042251119696605802384134795747125894017553197868526994704706740481295582149587147500753683454274393451260017959882134026319880086382613875827375633187853883061576824671918216523551092674867258994499870679248968229180363971517755360386586157671907624553125143813455508343168159926083908564173593981716331333425355271981004825254680578603904313270307062213398984682495206234296817509226097870059492376059523388969824137572296592558659108758924568066814281886050741225195864899904236526156139611270058877707266191118338382761566615824809537514558296412065742823300090970065637984446733707701410770812137929640362560089257603463669970124985200985120778118505060016175825211281285145259937107654273632705773641618482862634426968694708474341781326087923934865557069469264789535480207953576927751543876829674243832450613059348690704044854211298037306099012406081852438387835553721422621755455929858521387895193606846323895811963666510717535385740402958222958715489595635150456037580886701740125974459892442587827718273519858981042693938210855570731649497722178554974869535916263409093056809802506235516331912316583296588261817307118589169207008197632105433879630965990134467332329243186445190209203099256744645955536982237678325204437043964304492443144298646457927743460882322303795085558326009576461327091479429513031727791213179744921046830829160475037102136089741781782456222517099772547186726098453716699409918997281921389777286942355771230946400608290461423418869908544584168441326133991986002138725487896627373232187092536621814256686477855846835287342702483276774968347977863596293977278240758844126481588992218949084212568732107031464839939602729543780119819632319881669167128500339331107803337918676722844020527954402739527639860038681566092148256991979608902668828847259448652268725941955560458386045248690406817024792247486997496797458397109782319050865156826305001878070761672873275648294877973606791291364616522840559712511163857583124633166706686122463416143292156152369993979458088618009108750687784622768217479376901572699846469762565915829959823120776717989792870304034155056160147970487604105165743347954343532886429421268179705918863421520030714947996424410295671845204862884742378906252570889399549072041489341569131430467783947471257934079508112029004348624431641499339734092}
19004   5991262243179381334964432533109993710612038173967420533224450554314972: {57003,588163,873034,1100434,1630474,2884808,3109276,3140554,3245409,3366514,3893194,3965323,4016764,4839645,5162288,5807574,5850283,6141514,6280444,6545685,6732316,6839779,6889377,6982064,7483594,7635196,7823443,7854822,8584483,8598034,8635445,9017779,9665563,9887356,10095979,10152202,10229681,10362534,10522245,10525243,10594954,10632379,10643853,11166979,11223728,11625802,11956808,12336350,12360202,12617045,12626694,12654283,13451409,13708003,14336779,14613830,14803620,14816764,14962963,15140454,15209074,15572554,15790528,15804509,15897379,16000843,16032185,16413979,16660594,17045884,17094802,17167114,17536596,17745034,17764344,17850883,18024350,18465994,18564043,18700689,18823996,18825874,18991973,19238622,19257202,19267804,19395057,19576723,19974802,19984887,20080363,20154556,20582203,20762314,20876900,20971208,20976754,21040156,21442629,21580483,21629220,22118002,22262725,22416645,22577870,22867483,22965979,23071168,23184202,23359243,23546685,23592609,23911088,24246802,24337363,24670834,24855249,25017763,25052280,25116464,25305802,25501603,25658002,25955064,26039188,26715270,26722432,26782354,26885793,26899974,27093444,27131390,27413002,27498045,28042354,28177843,28182034,28183815,28256022,28272379,28496288,28521244,28798721,28838083,29199447,29331248,29505802,29853202,30062736,30147979,30239605,30296253,30962194,30982603,31169674,31712456,31929202,31994779,31998154,32058324,32140262,32254100,32557668,32961873,32997654,33270403,33820578,33902923,33990802,34172923,34185916,34262779,34401394,35246443,35486236,35676513,35752989,35945445,36163496,36287526,36397723,36445714,36717202,37056202,37064845,37198840,38138314,38341808,38577523,38704920,38755245,39081802,39093979,39149074,39240325,39436843,39921329,40373779,40527633,40683933,41091004,41093002,41141030,41285248,41338928,41493514,41848695,41971603,42054979,42553723,42725485,43134534,43156114,43233724,43543035,43625443,44088796,44327217,44365845,44441563,44477814,44638608,45571053,45664114,45905096,45914660,46445904,46506294,46647754,46713202,46925779,47088390,47323568,47497564,47634043,47909393,48338045,48343204,48346876,48878779,49300977,49369236,49819875,50029834,50218434,50223634,50227616,50310056,50332963,50352754,50408779,50786779,50933002,51270582,51462643,51643233,51961354,52251642,52281874,52294445,52354723,52381173,52576123,52762897,52857802,53141200,53239014,53496202,53818483,53881478,54196594,54259804,54387274,54395923,54434685,54768202,55097592,55148554,55607683,55718002,55819363,55960123,55970674,56096914,56109045,56286154,56310763,56506068,56520283,56589979,56598813,56937379,57006643,57030470,57857554,58005654,58063664,58772900,58866076,59107474,59251963,59309375,59385523,59783850,59849648,60246643,60270661,60639979,60877349,61676203,61932379,61984791,62194204,62265802,62753334,62795685,62945563,63188245,63769440,63794549,63851356,64348234,64639389,64674283,64734979,65321622,65598429,65819201,65916316,65933779,66228979,66287803,66472594,66813979,66872083,66982064,67196434,67243845,67330854,67449163,67666109,67785896,67974076,68019043,68020736,68436564,68441990,68469763,68483973,68749123,68795164,69054350,69061720,69175114,69412243,69956923,70405653,70425202,70527480,70919203,70958794,71171250,71372914,71726768,71740620,71754979,71904202,72471163,72823963,72883324,73204481,73290556,73314634,73518979,73568083,73763779,73870885,74487379,74706350,74772283,75064714,75180874,75229312,75241363,75354822,75418833,75825894,75916000,76050034,76112779,76129046,76133116,76259133,76523328,76532817,76738243,76782379,76973540,77001979,77019249,77088274,77145802,77694435,77763189,77777445,78006802,78118481,78154876,78281779,78293002,78558364,78864202,79058803,79139083,79206154,79343415,79362374,79364476,79436685,79621653,79661194,79692979,79881896,80041603,80459779,80692614,80741576,80795443,80832379,80850802,80979403,81472100,81527457,81555979,81591403,81697243,81752434,81811576,82130388,82216723,82392245,82453603,82785883,82865220,82874064,82949323,82962608,82977724,83097202,83207083,83553979,83831323,83861779,83877394,83933002,84012979,84174536,84632976,84732464,84882379,84975004,85041802,85405500,85732598,85869202,85915723,85940779,86088744,86187379,86199154,86307979,86426779,86520523,86567644,86749843,86993779,87021514,87101779,87229003,87235509,87425553,87567754,87634363,87826243,88064923,88082779,88325203,88389568,88452776,88505779,88645062,88677643,88818034,88818645,88826323,88883779,88967803,89022379,89337379,89358994,89411169,89466994,89556979,89647620,89693563,89702779,89738923,89742185,89784325,89867133,89879683,89917123,90128803,90151843,90188779,90240043,90262723,90275683,90278203,90834273,91012808,91099200,91135070,91239754,92038023,92358802,92368248,92493375,92510605,92575225,92716616,93233322,93241893,93284956,93332934,93874737,94027430,94418314,94696353,94739888,95203954,95212098,95324022,95408517,95624128,96038002,96297802,96665870,96807484,96849837,97080429,97172480,97603121,97766520,98053834,98156554,98310514,98659600,98689989,98794353,98870694,99129202,99263333,99438264,99509373,...,24381329850721079562374977149131700212025203296134212629848261242024036289881978547121556948750588335053615250113040906935101915639068047136798670483865359006252409229444923600566031269468961681371924266430411086653236096315031570149144926116078540665723977708192412098064222611654928287695327929880461202201779420056917627308803342008141158182636154958283087191424475581238264538526913637650541897366520317055765770194179554449955686777376245650815171016048632255384185469047360083987429403977616324904258206451997919268513015362622559185890082315570498443028158880251814954568301250126334331607839848433526282808083951559124301356061798193687828562846625333552710953232160740370923358533345153891286740899542606549260064326879010019563376679544908703576202193620688841026329796802790492057060110721943373224380721251130525181411590176890026939823201039479820129573920813741063449781780824592365237007877324785326639012300888491749806018873452343770545957276633040579879236507861436829687715720183262514752239889125862846260390972574497000138032907971507237882020867905856469905460593320098477023742809351445226263839146805089238564089285083454736206358444888837988663138386852100221422829076111837793797349856354789234209416905088316560899286677507574142349923737214306271837444618098614234950136455098456976670100561552116156218206894460543840133886405195504955187477801477681167177757590024263737816921927717889905661481410449058660462427724293951640453042062711512671989131885902298335604203897184303220311930365391627315815244511365748675919589023036056067281316947055959148518609122778657581753330582133932633183894787782081842790410269485843717945499766076303078610604437334438073234393452725684056371330052610188961689838663881741577410279788471564040907316283356097474246583267832462304303874395113639585214703759353274497868474874944882392725960677883753810512296448158150819446448985201700998493864779667785313804648885116968933305473356517487806655565946456738664716447969686891615191323483455692628337489014364691990637219144269547591686819769617381570246243740712555653204134612672673684333775649658820780089147680575049114878495922882084665930413533656846419600912435692135128304862816876252661989200987979003208088231844941059848280638804932721385029716783770252931014053724915162452521966795394440965917361138266189722383488328423626318853098160547197259909404094315670179729448479822503750692750508996661705006878015084266030791931604109291459790058022349138222385487969413354003243270889172978403088912933340687579067873035610225537188371230496245196187595664673478576297735239457502817106142509309913472442316960410186937046924784260839568766745786374686949750060029183695124214938234228554990969187132927013663126031676934152326219065352359049769704643848873744939734681165076984689305456051232584240221955731406157748615021931515299329644131902269558878295132280046072421994636615443507767807294327113568359378856334099323608062234012353697145701675921206886901119262168043506522936647462249009601138}
19005   6015129402487157265982900225907132943116535146364839796556168637644367: {76004,1309551,1650651,2445711,2524207,3207451,3606010,3886595,4327212,4517002,4663914,4686331,4710831,5020955,5049771,5427994,5839791,6025146,6109306,6452860,7743432,7850555,7930714,8386066,8415395,8711361,8727580,9185836,9212271,9346787,9420666,9543995,9795599,9820762,10029311,10098474,10462207,10473096,11225391,11452794,11782233,12359195,12897051,13206059,13816712,14029660,14191804,14831034,14946010,15228303,15280954,15543801,15892431,15934427,16835592,17265743,17438703,17935212,17954131,18349807,18504525,18520955,18540303,18940041,19423651,19738160,20187272,20922202,21182746,21307355,21920745,21976906,22205430,22225146,22710681,22813611,22832819,23358831,23382128,23529995,23685792,24083887,24084755,24934252,24990891,25193195,25568826,25642203,25651496,25664842,25750671,25860076,26096125,26214010,26232331,26300195,26304894,26617551,26639482,26646516,27036525,27698991,27748399,28235994,28238811,28590172,28594187,28838960,28857933,28885803,28901706,29888860,29962203,30231834,30383914,30881663,31143471,31315350,31395580,31456812,31465131,31560234,31643059,32366987,32443830,32548985,32870794,33140332,33177003,33403040,33549082,33866805,34606752,34776303,34924474,34981231,35620360,35651555,35764483,35847724,35866632,35904466,36078191,36124592,36171562,36370203,36453059,36664060,37006251,37578420,37674696,37958703,38487003,38843194,38932596,39058782,39505103,39640570,40072905,40083648,40166959,40173531,40317625,40349961,40395004,40640166,40697085,40733099,41093603,41119503,41408122,41774399,42063531,42273051,42384033,42732395,42744432,42781866,43097482,43410224,43949164,43996872,44021299,44258703,44357795,44779803,45094104,45204370,45506767,46443291,46498550,46754511,46942066,47568684,47670652,47719187,47893803,47927260,47997231,48087486,48162682,48210393,48381150,48383368,48617491,48836502,49040531,49496481,50730867,50805706,50986203,51027274,51278874,51363755,51602091,51606560,51673660,51749423,52368442,52406927,52459114,53086714,53087291,53229354,54036844,54042155,54188783,54245244,54431289,54668571,55075803,55110995,55584303,55798260,57207471,57381370,57393325,57512712,57841883,58057380,58289866,58550507,58609306,58622703,58723611,59102956,59154460,59303752,59312659,59371955,59518144,60273323,60429005,60433595,60761404,61033859,61636506,61639503,61711545,61927872,62008392,62167834,62240271,62760922,62784520,62887570,64233754,64701801,64734171,64850586,65734636,65800282,65825648,66133194,66426500,66708394,66716721,66914194,66957912,67824755,68360776,68496171,68857644,68871990,68913931,69183754,69668856,69759441,69841564,69896659,69955066,69971631,70069803,70632585,70648879,70985352,71033647,71246346,71521402,71585129,72514806,72520314,72579580,72592282,73463456,73466125,73582595,73652719,73961914,74053854,74140906,74176786,74812060,74847347,75044751,75327651,75335451,75341424,75465084,75529131,76004851,76058347,76177187,76399503,76446346,76905873,77340872,77396179,77411951,77742755,77942031,78377463,78422811,78929027,79286703,79636207,79711800,79814195,79858521,80244303,80298283,80822217,81127039,81294891,81389706,81433162,81580911,81611707,81835739,82013723,82152303,82275754,82395395,82646388,82722831,82897402,83004731,83526511,83577003,83671112,83727580,83956011,84145371,84429231,84732370,84759102,84967595,85025920,85536874,85545705,85601987,85993955,86185852,86327150,86786331,87008481,87095496,87464572,88159350,88299114,88550959,88661211,89658460,89675775,89774472,90768307,91104155,91248752,91311964,91613195,93291306,93398703,93669562,93701242,93874204,94036640,94130001,94323346,94334651,94895000,95166395,95654160,95777034,96216925,96257746,96522351,97575227,97693595,97982433,98126707,98197955,98781802,98805811,98874474,99144154,99205595,99708891,99820687,99852370,99934703,...,36571994776081619343562465723697550318037804944201318944772391863036054434822967820682335423125882502580422875169561360402652873458602070705198005725798038509378613844167385400849046904203442522057886399645616629979854144472547355223717389174117810998585966562288618147096333917482392431542991894820691803302669130085376440963205013012211737273954232437424630787136713371857396807790370456475812846049780475583648655291269331674933530166064368476222756524072948383076278203571040125981144105966424487356387309677996878902769523043933838778835123473355747664542238320377722431852451875189501497411759772650289424212125927338686452034092697290531742844269938000329066429848241110556385037800017730836930111349313909823890096490318515029345065019317363055364303290431033261539494695204185738085590166082915059836571081876695787772117385265335040409734801559219730194360881220611595174672671236888547855511815987177989958518451332737624709028310178515655818935914949560869818854761792155244531573580274893772128359833688794269390586458861745500207049361957260856823031301858784704858190889980147715535614214027167839395758720207633857846133927625182104309537667333256982994707580278150332134243614167756690696024784532183851314125357632474841348930016261361213524885605821459407756166927147921352425204682647685465005150842328174234327310341690815760200829607793257432781216702216521750766636385036395606725382891576834858492222115673587990693641586440927460679563094067269007983697828853447503406305845776454830467895548087440973722866767048623013879383534554084100921975420583938722777913684167986372629995873200898949775842181673122764185615404228765576918249649114454617915906656001657109851590179088526084556995078915283442534757995822612366115419682707346061360974425034146211369874901748693456455811592670459377822055639029911746802712312417323589088941016825630715768444672237226229169673477802551497740797169501677970706973327675453399958210034776231709983348919685107997074671954530337422786985225183538942506233521547037985955828716404321387530229654426072355369365611068833479806201919009010526500663474488231170133721520862573672317743884323126998895620300485269629401368653538202692457294225314378992983801481968504812132347767411589772420958207399082077544575175655379396521080587372743678782950193091661448876041707399284583575232492635439478279647240820795889864106141473505269594172719733755626039125763494992557510317022626399046187897406163937189685087033523707333578231954120031004864906333759467604633369400011031368601809553415338305782556845744367794281393497010217864446602859186254225659213763964870208663475440615280405570387176391259353150118679562030424625090043775542686322407351342832486453780699390520494689047515401228489328598028538574654556965773310617409602021747615477033958184076848876360332933597109236622922532897272948994466197853404338317442698420069108632991954923165261651710941490670352539068284501148985412093351018530545718552513881810330351678893252065259784404971193373514401707}
19006   6039090955913930893401183681953258868865181939120348434619933916515137: {95005,114006,891073,1117873,1176326,1683613,1746068,2022193,2200868,2585053,3146113,3260948,4374109,4818493,4929409,5409015,5482909,5769616,6218552,6281108,6490818,6733028,6775503,6995871,7242013,7786388,7787953,7930646,8033528,8066075,8141991,8657713,9037719,9163959,9307009,9679290,10324576,10383409,10909475,10918909,11482295,11615148,11700566,11896071,11984509,12089623,12283028,12408733,12560888,12579099,13091370,13148353,13464632,13679558,13778754,13964128,14094109,14130999,14731143,14967188,15147711,15270392,15553693,15646886,15657409,15709644,16071553,16793533,17101873,17168966,17179191,17196068,17270890,17537075,17663863,17739755,18035558,18328753,18836893,19331126,19646173,19747009,19774712,20191958,20304404,20459362,20725068,21044490,21050486,21189908,21264758,21287706,21649213,21748609,22246551,22333958,22343473,22419015,22445059,22447456,22639933,22921431,23251604,23913616,24672700,24720404,24794173,25085233,25182109,25234090,25253063,25253388,25308566,26050753,26626609,26902818,27416006,28054909,28149553,28673558,29227660,29607240,29633528,29925926,30280908,30418148,31145108,31167815,31324609,31383303,31581056,31609018,31692673,31774119,31794758,32001686,32064370,32325095,32334013,32607793,32698909,32827958,32965359,33308145,33321188,33337719,33606109,33696433,34091768,34189604,34334228,34416433,34953409,35042653,35073192,35490068,35528688,35701766,35737715,36048700,36931988,37128086,37361075,37401378,37599409,37647992,37651748,37983946,38353239,38477244,38497263,38514404,38535608,38790114,38898109,39153446,39241693,39244475,39321015,39457341,39840193,39949604,39959223,39969774,40160726,40309112,40689073,40942333,41164406,41425415,41524628,41753800,41942416,41953508,42080312,42335447,42353991,42365233,42885258,43160966,43258440,43352559,43439293,43849153,44236004,44525450,44744509,44809655,44833290,45067933,45155740,45229213,45347751,45575871,45631153,45734966,45830075,45931958,46142336,46368404,46429633,46718486,46747009,46826173,46973025,47093370,47185218,47220913,47340351,47822176,48004993,48493604,48665745,48674726,49090609,49306191,49341668,49551553,49710498,50035526,50104560,50232928,50323623,50493755,50611604,50617009,50692573,51003206,51294493,51316004,51890783,51910128,52078376,52114609,52386711,52558273,53430540,53444864,53564708,53771586,53799948,53856699,54186888,54257343,54262780,54666109,54737713,54826004,54936455,54996090,55378909,55732609,56084708,56355686,56364068,56364733,56367630,56512044,56544758,56852353,56992576,57042488,57542833,57597442,57676166,58158109,58264791,58398894,58588173,58662496,59011604,59170609,59237533,59460855,59588315,59706404,59815679,59902813,59909075,60125472,60295958,60479210,60560893,60592506,60960249,61405633,61534513,61924388,61965206,62112183,62339348,62356151,62744509,62807473,63058609,63121213,63424912,63619453,63743293,63858404,63989558,63990109,63996308,64116648,64172799,64280524,64508200,64592075,64646223,64844893,64905409,65115336,65446813,65923746,65995308,66100609,66540806,66629053,67036033,67267009,67361327,67546055,67641156,67673263,67805846,67806555,67981604,68179393,68345846,68371832,68525558,68802788,69293953,69747825,69786109,70110973,70379713,70413099,70492886,70911793,70972472,71228963,71332273,71353026,71505978,71890890,72131229,72244023,72326992,72571725,72575052,72616573,72717373,72795446,72891428,73212223,73254753,73365553,73414909,73434404,73878695,73943075,74112404,74129690,74146609,74338993,74397680,74434753,75376513,75607453,75790909,75951755,76208559,76276628,76540911,76683616,76911409,76918311,77155046,77173633,77303773,77347009,77409840,77510490,78163604,78187958,78298148,78363073,78404509,78480650,78552663,78651613,78688671,78814909,78873686,79377373,79630071,79809409,79842658,79844031,80156413,80384509,80422273,80747558,81055266,81367866,81698653,82168295,82182008,82186004,82218673,82282060,82570496,82656253,82677856,82886833,82987028,83017009,83033125,83305693,83337409,83526193,83697390,83943206,84109958,84136753,84431233,84547009,84575773,84825719,84970909,85107446,85135933,85450970,85484593,85667293,86072055,86120893,86242753,86269068,86312228,86362813,86386609,86467448,86527873,86620609,86712193,87086070,87152833,87250886,87301955,87382909,87434799,87504733,87797953,87854653,87892093,87913959,88177592,88250653,88386013,88402609,88463543,88468273,88654434,88731690,88794109,88852573,88883126,88955628,89191873,89277216,89385409,89442109,89601409,89611453,89650909,89735473,89744509,89788609,89863453,89902513,90021853,90052993,90198109,90217009,90237313,90246493,90291133,90299953,90305713,90306109,90724475,91142106,91328228,91810192,91829320,92454759,92891808,93012588,93251751,93295508,93426404,93515075,93851558,94141383,94176780,94331355,94647136,94995128,95268086,95818786,96350631,96676090,96686408,96693752,97275879,97757558,98601954,98700423,98738472,99199791,99639750,...,48762659701442159124749954298263400424050406592268425259696522484048072579763957094243113897501176670107230500226081813870203831278136094273597340967730718012504818458889847201132062538937923362743848532860822173306472192630063140298289852232157081331447955416384824196128445223309856575390655859760922404403558840113835254617606684016282316365272309916566174382848951162476529077053827275301083794733040634111531540388359108899911373554752491301630342032097264510768370938094720167974858807955232649808516412903995838537026030725245118371780164631140996886056317760503629909136602500252668663215679696867052565616167903118248602712123596387375657125693250667105421906464321480741846717066690307782573481799085213098520128653758020039126753359089817407152404387241377682052659593605580984114120221443886746448761442502261050362823180353780053879646402078959640259147841627482126899563561649184730474015754649570653278024601776983499612037746904687541091914553266081159758473015722873659375431440366525029504479778251725692520781945148994000276065815943014475764041735811712939810921186640196954047485618702890452527678293610178477128178570166909472412716889777675977326276773704200442845658152223675587594699712709578468418833810176633121798573355015148284699847474428612543674889236197228469900272910196913953340201123104232312436413788921087680267772810391009910374955602955362334355515180048527475633843855435779811322962820898117320924855448587903280906084125423025343978263771804596671208407794368606440623860730783254631630489022731497351839178046072112134562633894111918297037218245557315163506661164267865266367789575564163685580820538971687435890999532152606157221208874668876146468786905451368112742660105220377923379677327763483154820559576943128081814632566712194948493166535664924608607748790227279170429407518706548995736949749889764785451921355767507621024592896316301638892897970403401996987729559335570627609297770233937866610946713034975613311131892913477329432895939373783230382646966911385256674978028729383981274438288539095183373639539234763140492487481425111306408269225345347368667551299317641560178295361150098229756991845764169331860827067313692839201824871384270256609725633752505323978401975958006416176463689882119696561277609865442770059433567540505862028107449830324905043933590788881931834722276532379444766976656847252637706196321094394519818808188631340359458896959645007501385501017993323410013756030168532061583863208218582919580116044698276444770975938826708006486541778345956806177825866681375158135746071220451074376742460992490392375191329346957152595470478915005634212285018619826944884633920820373874093849568521679137533491572749373899500120058367390248429876468457109981938374265854027326252063353868304652438130704718099539409287697747489879469362330153969378610912102465168480443911462812315497230043863030598659288263804539117756590264560092144843989273230887015535614588654227136718757712668198647216124468024707394291403351842413773802238524336087013045873294924498019202276}
19007   6063147274095881150576820272530433901122261362855395775061828833085264: {152008,171009,1764489,2182585,2619102,2751085,3301302,3549073,4076185,4800169,4891422,5048414,5441233,5483197,6414902,7029337,7212020,7716313,7773190,7851385,8416285,8654424,9034004,9327828,9372662,9421662,9732985,9736227,9991393,10041910,10099542,10446409,10855988,10990777,11576617,11679582,11781553,11895969,12050292,12218612,12905720,13361593,13850257,14518935,14759713,15353785,15486864,15701110,15861428,16123897,16438873,16772132,16830790,17033353,17267569,17302873,17422722,17455160,17550849,18371672,18424542,18693574,18708985,18841332,19087990,19591198,19637055,19641524,20058622,20165233,20196948,20404969,20519337,20668131,20924414,20946192,21495085,22450782,22835233,22905588,23470329,23475997,23564466,24718390,25380505,25397473,25519033,25753449,25794102,25906335,25929337,26359993,26412118,26487385,27053337,27633424,28059320,28383608,28420513,28996689,29064505,29151097,29662068,29830297,29892020,30287937,30456606,30561908,30689043,30840875,30884929,30900505,31087602,31566735,31575729,31751569,31784862,31868854,31897137,31931559,31958209,32370409,32534953,32941993,33464173,33500937,33671184,33718657,34531486,34599193,34877406,35270473,35870424,35908262,36456913,36534575,36699614,36744073,36820273,37009050,37041910,37080606,37096237,37851135,37880082,37962849,38022685,38231257,38847302,38931385,39476320,39918769,40354227,40374544,41097949,41124009,41146633,41282713,41651485,41778817,41844404,41998993,42365492,42614710,42737005,42917785,43010337,43098169,43297609,43841490,43953812,44362585,44410860,44450292,44888889,45060875,45421362,45568579,45627222,45665638,46050169,46164985,46687849,46717662,46764256,47059990,47064685,47371584,47413527,47692137,48002529,48096555,48139117,48143005,48167774,48169510,48359713,49241937,49312153,49647673,49868504,49912177,49937005,49981782,50386390,51137652,51284406,51302992,51329684,51501342,51720152,51905785,51915553,52192250,52428020,52441885,52464662,52600390,52609788,53235102,53278964,53293032,53333209,53552649,54073050,54183433,55295005,55397982,55496798,55692129,56102067,56444675,56471988,56477622,56975919,57036793,57180344,57188374,57677920,57715866,57771606,57803412,57960505,58185171,58253569,58730169,59644909,59777720,59825353,59924406,59954661,60241089,60463668,60617005,60767828,61158409,61672957,61677085,61746609,61763326,62100913,62286942,62588473,62630700,62791160,62913624,62930262,62937757,63120468,63264505,63286118,64041289,64145005,64327887,64733974,64741449,64887660,65097970,65133673,65741588,66280664,66354006,66788175,66806080,66955885,67098164,67249935,67733610,67828475,68214313,68358589,68532505,68602449,68897937,69213504,69552606,69848948,69962462,70077729,70105885,70455085,70513453,70640055,70777827,71232109,71240720,71303110,71528966,71695448,71733264,71808932,71909257,72156382,72249184,72343124,72740406,72906118,73012089,73328120,73597513,73764505,74012502,74296477,74565747,74633005,75042013,75053289,75156840,75349392,75659017,75917406,75940009,76504809,76814653,76974006,77155393,77405485,77614273,77686388,77865192,77924185,78117564,78276889,79010206,79281140,79823005,79995385,80009233,80145810,80167296,80333918,80347062,80350655,80635250,80657379,80699922,80790008,81280332,81394170,81466198,82187206,82239006,82494135,82557649,82734433,82816244,83120737,83548798,83622913,84127062,84533529,84546102,84551445,84600607,84607033,84768066,84817137,84977005,85123897,85139209,85464790,85488864,85563732,86003485,86194964,86238433,86396163,86514249,86820448,87598341,87898328,87948409,87993744,88042598,88119517,88517406,88715590,89523673,89559606,89759833,90188208,90408740,90408769,90443937,90718815,90888759,91013534,91105369,91114285,91312633,91463473,91793005,92640505,92886582,92947809,92997100,93195553,93509022,93884132,94954657,95137368,95341304,95345785,95438374,95672809,95787606,95854520,95984337,95994462,96174972,96325364,96420786,96762300,96766736,96925309,97234982,97566073,97673004,97704505,97872685,97930297,98081062,98094673,98665453,98755873,98885619,98992962,99028609,99811209,...,73143989552163238687124931447395100636075609888402637889544783726072108869645935641364670846251765005160845750339122720805305746917204141410396011451596077018757227688334770801698093808406885044115772799291233259959708288945094710447434778348235621997171933124577236294192667834964784863085983789641383606605338260170752881926410026024423474547908464874849261574273426743714793615580740912951625692099560951167297310582538663349867060332128736952445513048145896766152556407142080251962288211932848974712774619355993757805539046087867677557670246946711495329084476640755444863704903750379002994823519545300578848424251854677372904068185394581063485688539876000658132859696482221112770075600035461673860222698627819647780192980637030058690130038634726110728606580862066523078989390408371476171180332165830119673142163753391575544234770530670080819469603118439460388721762441223190349345342473777095711023631974355979917036902665475249418056620357031311637871829899121739637709523584310489063147160549787544256719667377588538781172917723491000414098723914521713646062603717569409716381779960295431071228428054335678791517440415267715692267855250364208619075334666513965989415160556300664268487228335513381392049569064367702628250715264949682697860032522722427049771211642918815512333854295842704850409365295370930010301684656348468654620683381631520401659215586514865562433404433043501533272770072791213450765783153669716984444231347175981387283172881854921359126188134538015967395657706895006812611691552909660935791096174881947445733534097246027758767069108168201843950841167877445555827368335972745259991746401797899551684363346245528371230808457531153836499298228909235831813312003314219703180358177052169113990157830566885069515991645224732230839365414692122721948850068292422739749803497386912911623185340918755644111278059823493605424624834647178177882033651261431536889344474452458339346955605102995481594339003355941413946655350906799916420069552463419966697839370215994149343909060674845573970450367077885012467043094075971911657432808642775060459308852144710738731222137666959612403838018021053001326948976462340267443041725147344635487768646253997791240600970539258802737307076405384914588450628757985967602963937009624264695534823179544841916414798164155089150351310758793042161174745487357565900386183322897752083414798569167150464985270878956559294481641591779728212282947010539188345439467511252078251526989985115020634045252798092375794812327874379370174067047414667156463908240062009729812667518935209266738800022062737203619106830676611565113691488735588562786994020435728893205718372508451318427527929740417326950881230560811140774352782518706300237359124060849250180087551085372644814702685664972907561398781040989378095030802456978657196057077149309113931546621234819204043495230954067916368153697752720665867194218473245845065794545897988932395706808676634885396840138217265983909846330523303421882981340705078136569002297970824186702037061091437105027763620660703357786504130519568809942386747028803414}
19008   6087298729113982363663455038800237517311739575015628924357654831197203: {133007,190010,228012,550391,1155767,1683791,1782146,1834367,2059991,2235746,2352652,2622791,2809991,3367226,3492136,3928653,3966167,4044386,4401736,4708007,4951953,5170106,5188487,5741207,5925047,6292127,6292226,6475367,6521896,7337133,7572621,7825127,8658647,8748218,9015025,9019727,9091847,9622353,9636986,9858818,10098167,10277207,10491791,10818030,10965818,11169407,11292505,11539232,11659785,11773247,12437104,12562216,12833207,12981636,13149791,13466056,13500791,13551006,13569985,13711007,13816007,13991742,14058993,14132493,14484026,14514167,14722991,15035687,15062865,15149313,15243791,15273265,15572776,15575906,15589991,15861292,15900887,15969887,16067056,16073327,16075213,16132150,16283982,16486367,16623791,17103767,17315426,17445647,17519373,18075438,18327918,18330791,18364727,18534287,18614018,18838991,18872807,19176791,19358580,19480127,19648367,19826785,19984247,20649152,20766818,20887127,20965165,21053687,21386207,21651647,21818950,21837818,22345991,22675391,22964590,23036807,23230296,23401132,23462687,23551665,23792142,23969018,24179246,24342887,24551905,24566056,24634991,24796991,24817466,24835657,25088087,25120391,25121776,25158198,25246185,25281791,26085791,26134083,26182740,26245991,26296706,26437967,26757287,26929264,27202991,27359116,27557508,27636813,27928256,27963407,28040361,28152791,28184327,28188218,28261998,28631985,28750607,28907447,29386797,29462286,29563991,29844529,29934376,30087933,30295422,30540784,30619487,30989807,31107386,31293772,31314818,31386621,31419288,32063327,32143106,32520407,32975687,33587066,33676173,33700391,33820727,33970967,34203746,34337932,34358382,34392136,34420487,34450391,34541780,35074150,35225087,35314127,35327726,35346699,35479510,35935391,36053327,36071116,36657506,36670391,37077585,37283927,37365025,37673786,37951847,38202385,38557991,38662252,38691153,39103367,39160607,39246407,39292346,39494018,39531887,39549424,39618177,39702791,40383916,40440047,40524767,40608808,40918724,41450136,41563727,41703287,42065207,42088980,42100972,42379816,42529516,42536447,42575412,43298426,43307567,43471991,43497218,43634941,43881791,44126807,44493102,44587847,44667916,44686946,44838030,44890118,44894912,45073487,45255133,45261647,45279866,45636791,45684909,45842862,46503208,46631403,46673567,46937447,47226791,47677293,47803281,47827232,48037007,48503927,48658991,49173791,49345400,49440808,49557791,49583327,49588346,50032801,50170466,50364218,50468180,50472047,50506126,50506776,50617132,50799647,50849927,51325991,51475727,51797229,52101506,52195391,52305505,52316109,52417367,52564991,52589567,52932791,52956865,53152607,53253218,53662991,53759807,53805636,53862393,53880647,54409967,54768647,54832012,54840167,54942265,54959207,55049421,55244087,55513575,55551407,55562865,55620909,55669247,55833887,56109818,56161991,56299106,56372087,56651207,56743991,56820123,56859791,57090791,57347116,57412847,57995581,58029527,58270953,58324367,58455320,58662887,58999607,59111447,59214480,59267056,59267687,59445767,59851852,60561816,60590807,60656207,60836296,60895391,61241567,61435391,61542791,61735607,61949087,62290216,62310167,62335630,62500391,62626847,62649218,62733517,62766606,62836967,62941727,63162112,63218036,63385346,63548238,63589516,63648791,63922065,64003372,64128740,64162105,64650190,64668026,64752767,64793207,64853807,65215586,65397818,65475791,65535025,65655916,65754167,65762235,65892767,65930718,66247367,66482327,66598705,66616290,66642376,66657791,66675438,67212218,67392866,67810991,68075927,68132043,68183536,68207807,68379208,68440833,68489087,68498457,68668456,68832866,69468527,69596207,69650807,69906818,70030991,70076493,70085306,70120991,70138967,70146384,70589985,70691257,70727687,70816127,70939607,70980136,70992407,71057376,71403532,71475430,71516447,71620391,71878991,72033287,72097400,72251661,72254265,72475391,72627167,73326887,73622447,73693633,73736687,73818047,73863976,74060927,74256172,74461727,74541287,74722150,74747207,74802756,74972673,75014447,75198818,75286189,75295984,75303496,75403247,75579585,75618791,75939167,75959785,75967892,75984647,76165847,76225991,76450391,76539647,76706478,76761527,76911037,76926609,76954488,76966991,76994526,77025407,77028808,77054567,77071216,77199887,77252013,77580228,77796218,78097007,78250391,78288375,78306892,78483386,78488950,78513047,78642030,78663791,78677447,78696993,78745607,78900585,78914682,79402991,79521647,79608841,79680386,79852653,79860791,79899208,79918446,79939548,79976927,80130767,80296127,80321452,80447567,80485247,80618224,80622791,80672567,81109575,81114791,81187487,81247847,81378146,81427727,81475391,81605807,81723527,81884666,81886991,81933407,82176985,82243367,82328812,82345391,82569791,82850830,82911287,83049256,83096973,83245197,83423641,83507600,83539991,83581607,83602367,83848991,83872705,83884832,83889647,83907016,83909927,84040967,84061007,84160624,84190487,84249791,84396791,84647327,84670894,84707982,84716433,84730466,84911087,84957527,85049807,85104791,85150391,85499207,85507991,85604087,85690607,85770516,85782561,85945367,86135807,86143991,86233487,86265791,86321932,86377847,86456927,86472647,86516880,86550767,86573799,86657409,86705118,86847791,86878586,87024527,87039047,87274007,87311185,87678887,87698306,87870527,87907991,87914207,88237991,88266791,88402247,88472008,88484567,88522367,88549127,88648991,88674791,88720727,88800791,88869167,88917047,89037791,89050900,89055887,89148791,89359727,89474087,89489018,89524991,89619310,89642087,89666580,89690807,89709791,89737727,89743847,89761165,89773967,89873087,89883791,89886609,89896991,89920247,89995391,90009047,90039791,90041927,90070991,90073007,90111647,90127991,90135047,90135866,90191327,90201407,90205607,90245927,90249287,90255791,90256847,90288767,90291791,90309887,90311480,90319127,90324167,90325967,90428905,90458426,90695502,91151742,91262306,91469932,91660150,91863916,92284672,92644989,92736808,92859266,93430413,93436972,93494018,93652346,93946050,94186740,94370436,94395393,94441826,94564477,94680702,94929177,95644352,96009986,96987208,97100961,97107985,97331490,97349452,97646955,98181218,98612382,98683336,99101425,99103106,99420996,99531009,...,109715984328244858030687397171092650954113414832603956834317175589108163304468903462047006269377647507741268625508684081207958620375806212115594017177394115528135841532502156202547140712610327566173659198936849889939562433417642065671152167522353432995757899686865854441289001752447177294628975684462075409908007390256129322889615039036635211821862697312273892361410140115572190423371111369427438538149341426750945965873807995024800590498193105428668269572218845149228834610713120377943432317899273462069161929033990636708308569131801516336505370420067242993626714961133167295557355625568504492235279317950868272636377782016059356102278091871595228532809814000987199289544723331669155113400053192510790334047941729471670289470955545088035195057952089166092909871293099784618484085612557214256770498248745179509713245630087363316352155796005121229204404677659190583082643661834785524018013710665643566535447961533969875555353998212874127084930535546967456807744848682609456564285376465733594720740824681316385079501066382808171759376585236500621148085871782570469093905576354114574572669940443146606842642081503518187276160622901573538401782875546312928613001999770948984122740834450996402730842503270072088074353596551553942376072897424524046790048784083640574656817464378223268500781443764057275614047943056395015452526984522702981931025072447280602488823379772298343650106649565252299909155109186820176148674730504575476666347020763972080924759322782382038689282201807023951093486560342510218917537329364491403686644262322921168600301145869041638150603662252302765926261751816168333741052503959117889987619602696849327526545019368292556846212686296730754748947343363853747719968004971329554770537265578253670985236745850327604273987467837098346259048122038184082923275102438634109624705246080369367434778011378133466166917089735240408136937251970767266823050476892147305334016711678687509020433407654493222391508505033912120919983026360199874630104328695129950046759055323991224015863591012268360955675550616827518700564641113957867486149212964162590688963278217066108096833206500439418605757027031579501990423464693510401164562587721016953231652969380996686860901455808888204105960614608077371882675943136978951404445905514436397043302234769317262874622197246232633725526966138189563241762118231036348850579274984346628125122197853750725697477906318434838941722462387669592318424420515808782518159201266878117377290484977672530951067879197138563692218491811569055261100571122000734695862360093014594719001278402813900108200033094105805428660246014917347670537233103382844180491030653593339808577558762676977641291894610625990426321845841216711161529173778059450356038686091273875270131326628058967222054028497459361342098171561484067142546203685467985794085615723963670897319931852228806065242846431101874552230546629080998800791327709868767598691818846983398593560213014952328095260207325898975864769495784955132824472011057617204853503446956236280053055591637155657541645430991055036679756195779353214913580120543205121}
19009   6111545694499595614596535967923195665361479460160092819869370902346843: {19009,285015,304016,342018,2673219,2940815,3055619,3353619,3528978,3851519,3966611,4194359,4365170,5050839,5238204,5502170,5672927,5706659,6066579,6128279,6602604,7098146,7755159,8152370,9119279,9438339,9600338,9782844,10096828,10882466,10966394,10991939,11166851,11782799,12829804,13122327,13626179,14058674,14424040,14455479,14788227,15432626,15479699,15546380,15702770,16227045,16440611,16448727,16832570,17308848,18068008,18208067,18655656,18745324,18843324,19427759,19465970,19472454,19826615,19982786,20083820,20199084,20326509,20407127,20892818,20987613,21495299,21711976,21726039,21981554,23153234,23359164,23363859,23478479,23563106,23791938,23831639,24100584,24198225,24425973,24437224,25400159,25521731,25811440,25973139,26192579,26237879,26723186,27113157,27491877,27700514,27921027,28385411,28835411,29037870,29154179,29251415,29519426,30093119,30707570,30973728,31150227,31152719,31402220,31722856,31754927,32247794,32728425,32756727,32877746,33467711,33544264,33587879,33661580,34066706,34198895,34446885,34535138,34602851,34605746,34845444,34910320,35101698,35532707,35688213,35772047,35953527,36268869,36743344,36747959,36849084,37082339,37100159,37226199,37387148,37417970,37682664,37737297,38175980,38235299,38450399,39117215,39182396,39274110,39278147,39283048,39445059,40117244,40330466,40393896,40690307,40809938,41038674,41287079,41336262,41848828,41892384,42282327,42392997,42682127,42922415,42990170,43102727,43177225,43260707,43604627,44193429,44901564,45088895,45443133,45670466,45811176,46283651,46661079,46940051,46940658,46951994,46972227,47128932,47176727,48214659,48327815,48627839,49436780,49724807,50380599,50479895,50761010,50794946,51038066,51046199,51148405,51305619,51506898,51537573,51588204,51812670,51858674,52611225,52626215,52719986,52824236,52974770,52991589,53161895,53219265,53231759,54049091,54106674,54422927,54448019,54503939,54986259,55087139,55266848,55834895,56118640,56510679,56767216,56841026,57993378,58129010,58277999,58302194,58312079,58938519,59241027,59324136,59660594,59784040,59831807,60084899,60575874,60913212,61123816,61378086,61681750,61769858,61801010,62107619,62175204,63085225,63119507,63133470,63151458,63271415,63503138,63569724,63576719,63737708,63758351,63794274,63863118,63916418,64630979,64740818,64947639,65069906,65245827,65883986,65890559,66739653,66928346,67001874,67030419,67257045,67335177,67342368,67400207,67407119,67437314,67919799,68540015,68764293,68845127,68928599,69062972,69176327,69198386,69754812,69911807,70342199,70540946,71683895,71740848,71816524,71909759,72668099,72913826,73069150,73399228,73418639,73488146,73640546,74018100,74083820,74161212,74192474,74382519,74814815,75255699,75546327,75702270,75759189,75760164,75925698,76045370,76462514,76976159,77413007,77694604,77862770,78152259,78702599,78849479,78952640,79022545,79486895,79837538,79879827,80004215,80160925,80708454,80749088,81144707,81177251,82069895,82195898,82248018,82293266,82565426,83037239,83302970,83422127,83557634,83688808,83997986,84164727,84280871,84448659,84730984,84863807,85229420,85474010,85835570,85851671,85988099,86020674,86196338,86347919,86595218,86770259,86978879,87682980,87907624,88570307,88725170,88821720,88900584,89254415,89777778,89803007,90121750,90842724,90929711,91137158,91254444,91296419,91331276,91725959,92100338,92288279,92329970,92820215,93205607,93375698,93435324,93503445,93528512,93738239,93973827,94119980,94129370,94149909,94743168,94827054,94959865,95078019,95322357,95384274,95945507,96005058,96193110,96278234,96286010,96335548,96339020,96384131,96719426,96954119,96975285,97002039,97823379,97883615,98096727,98148239,98483874,98486519,98624306,98637119,98793119,98827079,98896077,99295346,99390959,99737008,99824354,99874010,99924435,99963564,...,146287979104326477374249862894790201272151219776805275779089567452144217739291871282729341692503530010321691500678245441610611493834408282820792022903192154037514455376669541603396187616813770088231545598582466519919416577890189420894869556696471243994343866249154472588385335669929569726171967579282767213210676520341505763852820052048846949095816929749698523148546853487429587231161481825903251384199121902334594621165077326699734120664257473904891026096291793532305112814284160503924576423865697949425549238711987515611078092175735355115340493893422990658168953281510889727409807500758005989647039090601157696848503709354745808136370789162126971377079752001316265719392964442225540151200070923347720445397255639295560385961274060117380260077269452221457213161724133046157978780816742952342360664331660239346284327506783151088469541061340161638939206236878920777443524882446380698690684947554191422047263948711959834073805330950498836113240714062623275743659798243479275419047168620978126294321099575088513439334755177077562345835446982000828197447829043427292125207435138819432763559920590862142456856108671357583034880830535431384535710500728417238150669333027931978830321112601328536974456671026762784099138128735405256501430529899365395720065045444854099542423285837631024667708591685409700818730590741860020603369312696937309241366763263040803318431173029731124866808866087003066545540145582426901531566307339433968888462694351962774566345763709842718252376269076031934791315413790013625223383105819321871582192349763894891467068194492055517534138216336403687901682335754891111654736671945490519983492803595799103368726692491056742461616915062307672998596457818471663626624006628439406360716354104338227980315661133770139031983290449464461678730829384245443897700136584845479499606994773825823246370681837511288222556119646987210849249669294356355764067302522863073778688948904916678693911210205990963188678006711882827893310701813599832840139104926839933395678740431988298687818121349691147940900734155770024934086188151943823314865617285550120918617704289421477462444275333919224807676036042106002653897952924680534886083450294689270975537292507995582481201941078517605474614152810769829176901257515971935205927874019248529391069646359089683832829596328310178300702621517586084322349490974715131800772366645795504166829597138334300929970541757913118588963283183559456424565894021078376690878935022504156503053979970230041268090505596184751589624655748758740348134094829334312927816480124019459625335037870418533477600044125474407238213661353223130227382977471177125573988040871457786411436745016902636855055859480834653901762461121622281548705565037412600474718248121698500360175102170745289629405371329945815122797562081978756190061604913957314392114154298618227863093242469638408086990461908135832736307395505441331734388436946491690131589091795977864791413617353269770793680276434531967819692661046606843765962681410156273138004595941648373404074122182874210055527241321406715573008261039137619884773494057606828}
19010   6135888545240081586296011158699032500651286164828817332613607145512571: {266014,380020,456024,513027,588349,702001,1100782,1834561,2311534,2847709,3367582,3564292,3668734,4119982,4189501,4471492,4705304,5245582,5293467,5619982,6182749,6512689,6547755,6734452,6951601,6984272,7857306,7932334,8088772,8253255,8478721,8803472,9020701,9416014,9903906,10340212,10376974,10528669,10635841,10647219,11277361,11482414,11597149,11809981,11850094,12228555,12584254,12584452,12621035,12950734,12975409,13043792,13817521,14341501,14400507,14674266,14759389,15072049,15145242,15650254,15809507,15902641,16006141,16037255,16323699,16449591,17317294,17447581,17496436,17958961,18030050,18039454,18183694,18366769,18570241,18671869,18874909,18997979,19244706,19273972,19432975,19482301,19717636,20187649,20196334,20554414,20889469,20983582,21088011,21382571,21636060,21931636,22183489,22338814,22585010,22973761,23072221,23078464,23148939,23319570,23431655,23465341,23546494,23554155,24874208,25104775,25123249,25124432,25248855,25606909,25666414,25799869,25963272,26299582,26932112,26951581,27001582,27102012,27139970,27333181,27422014,27523549,27632014,27757499,27983484,27998209,28117986,28187569,28264986,28282141,28942129,28968052,29028334,29198955,29208681,29317681,29351231,29445982,29974179,30071374,30125730,30251521,30298626,30487582,30546530,30993409,31145552,31151812,31179982,31339227,31722584,31801774,31939774,32097601,32134112,32146654,32150426,32264300,32567964,32972331,32972734,33009841,33247582,34004989,34207534,34274881,34372667,34454449,34630852,34729851,34891294,35038746,35258941,35270807,35344659,35347969,35687907,35969149,36150876,36655836,36661582,36674749,36729454,37068574,37228036,37677982,37724509,37745614,37985329,38158849,38353582,38591389,38717160,38960254,39252775,39296734,39536641,39653570,39968494,40084779,40388401,41298304,41533636,41550771,41774254,41930330,42070321,42076975,42107374,42569281,42772414,43303294,43312861,43556805,43637900,43641469,43675636,43723441,44279139,44691982,45350782,45929180,46061355,46073614,46460592,46733935,46802264,46925374,47103330,47416321,47584284,47719975,47938036,48276829,48358492,48371691,48510001,48685774,48977995,49103810,49132112,49269982,49316619,49436209,49589569,49593982,49634932,49671314,50146555,50176174,50240782,50243552,50316396,50427901,50492370,50563582,51100059,51482269,51802707,51908619,52171582,52226749,52268166,52311035,52365480,52374781,52491982,52593412,52596289,52652547,52875934,52964029,53483339,53514574,53858528,53911729,54272989,54405982,54488881,54718232,54990109,55115016,55132669,55273626,55274941,55856512,55911601,55926814,56080722,56126955,56305582,56368654,56376436,56523996,56542429,56612161,57029041,57098269,57263970,57443329,57501214,57718081,57814894,58059901,58773594,58805569,58911165,58924572,59127982,59141629,59689058,59868752,60175866,60336541,60495699,60590844,61081568,61214907,61238974,61558011,61765309,61795975,61979614,62004393,62214772,62529949,62587544,62629636,62656381,62773242,62838576,62971201,63221761,63533341,63843121,64126654,64286212,64485255,64761661,65040814,65365021,65783089,65901889,65951374,66030295,66197629,66315421,66491569,66527131,66900061,67174132,67352346,67400782,67534849,67641454,67820509,67941934,68104369,68330161,68407492,68505699,68675864,68716764,68778289,68784272,68840974,68900782,69083560,69166621,70040989,70148300,70148989,70410987,70427991,70450174,70628254,70655452,70693398,70737841,70959020,71002621,71630749,71870782,72106654,72142232,72502849,72855901,73227707,73315012,73340782,73600561,73649629,73845181,74139611,74155170,74567854,74730050,74852929,75347572,75737341,75874609,75903694,76141515,76192381,76192419,76404770,76551229,76557099,76817341,76905469,76919171,76993309,77115982,77260347,77324504,77382306,77719005,77788011,78109021,78206734,78318001,78321214,78359581,78492814,78584692,78689629,78893569,78988036,79063774,79079979,79098848,79236354,79405582,79462155,79494589,79612849,79672135,79730461,79886269,80535601,80685361,80767832,80833969,80870941,80880094,81049534,81127729,81160011,81217616,81542659,81630721,81771841,81837448,82016029,82119601,82527409,82661041,82900272,83127454,83406574,83873089,83903581,84130414,84177960,84201944,84263869,84352321,84410929,84759632,84925441,85059032,85072894,85150824,85261539,85522609,85575169,85627441,85884481,85985281,86158909,86328715,86353021,86596852,86612401,86615134,86943982,86990067,86994436,87018049,87083389,87169501,87193515,87269882,87275521,87296509,87453291,87701149,87763582,87854941,87930109,87967261,88130881,88236721,88253614,88373809,88586749,88696369,88861501,88974587,88986204,89017921,89175694,89217181,89335832,89373892,89490891,89491249,89598529,89659441,89676060,89679169,89708221,89755201,89770655,89780236,89789824,89826947,90026929,90059869,90091009,90131581,90146974,90183421,90188209,90202141,90219709,90240049,90251389,90275329,90293041,90320689,90332029,90333361,90343261,90510266,90523294,90559732,90863811,91273582,91369818,91685724,91749035,92067129,92522625,92604775,92654787,92701515,93006416,93145567,93238187,93262806,93347134,93874894,93996067,94453582,94700205,94727187,95254707,95354586,95606562,95654464,95691411,95794677,95874627,96074014,97007854,97111227,97118255,97317982,97604859,98347582,98690800,98825979,98881616,99115582,99166654,99176692,...,219431968656489716061374794342185301908226829665207913668634351178216326608937806924094012538755295015482537251017368162415917240751612424231188034354788231056271683065004312405094281425220655132347318397873699779879124866835284131342304335044706865991515799373731708882578003504894354589257951368924150819816014780512258645779230078073270423643725394624547784722820280231144380846742222738854877076298682853501891931747615990049601180996386210857336539144437690298457669221426240755886864635798546924138323858067981273416617138263603032673010740840134485987253429922266334591114711251137008984470558635901736545272755564032118712204556183743190457065619628001974398579089446663338310226800106385021580668095883458943340578941911090176070390115904178332185819742586199569236968171225114428513540996497490359019426491260174726632704311592010242458408809355318381166165287323669571048036027421331287133070895923067939751110707996425748254169861071093934913615489697365218913128570752931467189441481649362632770159002132765616343518753170473001242296171743565140938187811152708229149145339880886293213685284163007036374552321245803147076803565751092625857226003999541897968245481668901992805461685006540144176148707193103107884752145794849048093580097568167281149313634928756446537001562887528114551228095886112790030905053969045405963862050144894561204977646759544596687300213299130504599818310218373640352297349461009150953332694041527944161849518645564764077378564403614047902186973120685020437835074658728982807373288524645842337200602291738083276301207324504605531852523503632336667482105007918235779975239205393698655053090038736585113692425372593461509497894686727707495439936009942659109541074531156507341970473491700655208547974935674196692518096244076368165846550204877268219249410492160738734869556022756266932333834179470480816273874503941534533646100953784294610668033423357375018040866815308986444783017010067824241839966052720399749260208657390259900093518110647982448031727182024536721911351101233655037401129282227915734972298425928325181377926556434132216193666413000878837211514054063159003980846929387020802329125175442033906463305938761993373721802911617776408211921229216154743765351886273957902808891811028872794086604469538634525749244394492465267451053932276379126483524236462072697701158549968693256250244395707501451394955812636869677883444924775339184636848841031617565036318402533756234754580969955345061902135758394277127384436983623138110522201142244001469391724720186029189438002556805627800216400066188211610857320492029834695341074466206765688360982061307186679617155117525353955282583789221251980852643691682433422323058347556118900712077372182547750540262653256117934444108056994918722684196343122968134285092407370935971588171231447927341794639863704457612130485692862203749104461093258161997601582655419737535197383637693966797187120426029904656190520414651797951729538991569910265648944022115234409707006893912472560106111183274311315083290861982110073359512391558706429827160241086410242}
19011   6160327657784434972024525166683057951234253628590926966748397399965591: {38018,399021,475025,570030,608032,684036,1651173,3467301,4117141,4455365,4687813,5051373,5346438,5503101,5589365,5881630,6111238,6179973,6707238,6849253,7057956,7703038,7868373,7933222,8388718,8418065,8429973,8550509,8730340,10101678,10110965,10476408,11004340,11046101,11345854,11413318,11785959,11898501,12133158,12256558,12645653,12925265,13205208,14124021,14196292,14855859,15138653,15510318,15565461,15730565,16304740,17223621,17271221,17775141,17867021,18238558,18513869,18876381,18876678,19200676,19426101,19429813,19565688,20193656,20996789,21764932,21870545,21932788,21983878,22011399,22333702,22717863,23475381,23565598,24092465,24647045,25659608,25975941,26240653,26244654,26683421,27045075,27059181,27190229,27252358,27275541,27414545,27757261,28117348,28388413,28848080,28867059,28910958,29576454,30294501,30831621,30865252,30891461,30959398,31092760,31405540,31475373,32454090,32881222,32897454,33508221,33665140,33877515,34078213,34617696,34979355,35319741,35775829,36136016,36210065,36416134,37311312,37490648,37686648,38499621,38686253,38855518,38931940,38937749,38939765,38944908,39282301,39449373,39653230,39965572,40167640,40330375,40398168,40502373,40653018,40709955,40746101,40814254,40951981,41106641,41133021,41448021,41785636,41787653,41975226,42176979,42397479,42686641,42990598,43288565,43423952,43452078,43542501,43963108,44168973,45107061,45188595,45447939,45489893,45731373,45745709,45819795,46306468,46535045,46718328,46727718,46769973,46876181,46956958,47107301,47126212,47583876,47663278,47702661,47878453,47909661,48201168,48219981,48225639,48396450,48851946,48874448,49459101,49871373,50800318,51043462,51311301,51532741,51622880,51765989,51917045,51946278,52336941,52385158,52475758,52558119,52986461,53446372,54226314,54547375,54594545,54764101,54983754,54992373,55014989,55094181,55401028,55425029,55602861,55842054,56516973,56618421,56770822,57411475,57530373,57670822,57860429,58075740,58308358,58440381,58502830,58765681,58945101,59038852,59097173,59480355,59922545,59952741,60091381,60186238,60448115,61053341,61415140,61833713,61947456,62043665,62300454,62305438,62661381,62804440,62895495,62951153,63124453,63161061,63445712,63509854,64158621,64495588,64561253,64954941,65456850,65513454,65741765,65755492,66935422,67037973,67088528,67175758,67323160,67658941,68026173,68133412,68397790,68893770,69070276,69110421,69205702,69211492,69690888,69820640,70203396,70388061,70470545,70654995,70671853,71056333,71065414,71376426,71544094,71607767,71907054,72537738,73028661,73486688,73495918,73655715,73676701,73698168,73904973,74164678,74200318,74390973,74426653,74452398,74506971,74595781,74774296,74835940,75264261,75361173,75365328,75474594,75738555,75845373,76351960,76470598,76900798,77768465,78136529,78168853,78234430,78257373,78287045,78364792,78402249,78433421,78548220,78556294,78566096,78737973,78890118,79313901,79976381,80234488,80271861,80357765,80660932,80787792,81380614,81608973,81619876,81753841,82077348,82574158,82575221,82672524,82910439,83697656,83746301,83784768,83890221,83967665,84121083,84458373,84552981,84564654,84785994,85364254,85509365,85844830,85895955,85980340,86205454,86251821,86354450,86521414,86722341,87209254,87685375,88160391,88319315,88386858,88392133,88579981,88691973,88698775,89005073,89392001,89533587,89803128,90177790,90263799,90886266,91340932,91622352,91643765,91858461,92401493,92567302,92969421,93149681,93322158,93880102,93881316,93903988,93944454,94011269,94159863,94184465,94257864,94353454,95118629,95956021,96189981,96429318,96655630,97255678,97561221,97587149,97606373,98230865,98735045,98873560,98927061,99449614,...,329147952984734574092062191513277952862340244497811870502951526767324489913406710386141018808132942523223805876526052243623875861127418636346782051532182346584407524597506468607641422137830982698520977596810549669818687300252926197013456502567060298987273699060597563323867005257341531883886927053386226229724022170768387968668845117109905635465588091936821677084230420346716571270113334108282315614448024280252837897621423985074401771494579316286004808716656535447686503832139361133830296953697820386207485787101971910124925707395404549009516111260201728980880144883399501886672066876705513476705837953852604817909133346048178068306834275614785685598429442002961597868634169995007465340200159577532371002143825188415010868412866635264105585173856267498278729613879299353855452256837671642770311494746235538529139736890262089949056467388015363687613214032977571749247930985504356572054041131996930699606343884601909626666061994638622381254791606640902370423234546047828369692856129397200784162222474043949155238503199148424515278129755709501863444257615347711407281716729062343723718009821329439820527926244510554561828481868704720615205348626638938785839005999312846952368222503352989208192527509810216264223060789654661827128218692273572140370146352250921723970452393134669805502344331292171826842143829169185046357580953568108945793075217341841807466470139316895030950319948695756899727465327560460528446024191513726429999041062291916242774277968347146116067846605421071853280459681027530656752611988093474211059932786968763505800903437607124914451810986756908297778785255448505001223157511877353669962858808090547982579635058104877670538638058890192264246842030091561243159904014913988664311611796734761012955710237550982812821962403511295038777144366114552248769825307315902328874115738241108102304334034134400398500751269205721224410811755912301800469151430676441916002050135036062527061300222963479667174525515101736362759949079080599623890312986085389850140277165971973672047590773036805082867026651850482556101693923341873602458447638892487772066889834651198324290499619501318255817271081094738505971270394080531203493687763163050859694958908142990060582704367426664612317881843824232115648027829410936854213337716543309191129906704307951788623866591738697901176580898414568689725286354693109046551737824953039884375366593561252177092433718955304516825167387163008776955273261547426347554477603800634352131871454933017592853203637591415691076655475434707165783301713366002204087587080279043784157003835208441700324600099282317416285980738044752043011611699310148532541473091960780019425732676288030932923875683831877971278965537523650133484587521334178351068116058273821625810393979884176901666162085492378084026294514684452201427638611056403957382256847171891012691959795556686418195728539293305623656691639887242996402373983129606302796075456540950195780680639044856984285780621977696927594308487354865398473416033172851614560510340868708840159166774911466972624936292973165110039268587338059644740740361629615363}
19012   6184863410048940531149883346203722830452633631926494495120018770911757: {57027,209011,532028,760040,855045,912048,1004827,1026054,1176698,1404002,1910011,2135587,2201564,3259147,3669122,4486747,4623068,4930987,5041867,5263411,5484667,5695418,5816011,6735164,7128584,7337468,7790467,8019657,8239964,8379002,8822445,8942984,9093811,9166857,9410608,9418027,10060857,10491164,10494067,10586934,10912925,11029387,11239964,11554557,11775811,11899833,12094627,12365498,12518707,12583077,12836011,13025378,13095510,13468904,13573867,13755425,13889011,13903202,13968544,14934811,15152517,15662587,15714612,15864668,15973411,16177544,16506510,16957442,17018781,17119977,17210227,17517811,17606944,17669449,17745365,18041402,18199737,18384837,18538411,18832028,19551811,19753627,19807812,19854427,20380925,20680424,20753948,21057338,21271682,21294438,21755947,21855307,22452157,22554722,22746307,22964828,23194298,23265477,23619962,23700188,24000845,24457110,25168508,25168904,25190707,25242070,25261049,25287547,25901468,25950818,26087584,26155867,26635747,27206165,27357837,27415985,27635042,28159267,28315017,28683002,28801014,29348532,29518778,29757811,30144098,30290484,31300508,31335547,31619014,31805282,32012282,32074510,32345347,32647398,32710387,32804317,32899182,32975817,33500553,33708307,34634588,34895162,34992872,35055067,35146685,35233411,35348397,35678011,35917922,35943907,36060100,36078908,36120811,36367388,36733538,37140482,37343738,37749818,37995958,38489412,38547944,38567227,38581565,38865950,38964602,38998147,39027461,39170011,39256925,39366981,39435272,39598411,39769267,40375298,40392668,40703827,40878537,41108828,41683681,41713411,41778938,41967164,42081425,42176022,42380707,42546811,42765142,43272120,43366437,43537387,43863272,43947067,44192011,44364681,44366978,44677628,45170020,45245947,45648067,45947522,46144442,46156928,46297878,46439097,46639140,46843627,46863310,46930682,47092988,47108310,47238547,48179011,48567811,48664925,48681135,49186147,49321833,49346181,49748416,49956965,50209550,50246498,50248864,50497710,50636227,50711827,50862811,51213818,51239011,51332828,51599738,51926544,52208707,52232045,52599164,52725811,53822011,53864224,53903162,54003164,54204024,54279940,54624201,54666362,54758947,54844028,54953885,55047098,55264028,55514998,55966968,55996418,56235972,56375138,56529972,56564282,57565507,57883085,57884258,57936104,58056668,58283277,58385011,58397910,58417362,58520587,58635362,58702462,58723411,58891964,58907765,59060011,59261107,59479845,59948358,60142748,60251460,60503042,60597252,60846547,60975164,60979527,61093060,61221381,61494907,61986818,62291104,62303624,62359964,62517307,62643811,62678454,62770027,62833027,62958811,62962839,63146947,63445168,63603548,63879548,64016347,64195202,64200811,64268224,64293308,64300852,64485897,64506811,64528600,64811011,64932187,65135928,65178117,65233867,65427509,65533747,65944662,65945468,66019682,66495164,66715267,66807965,67179811,68009978,68415068,68549762,68569193,68745334,68908898,69251285,69261704,69433411,69459702,69782588,70077492,70087027,70091577,70205177,70435437,70517882,70541614,70689318,70695938,70783411,70942387,71115209,71375814,71415427,71494917,71571811,71938298,72088411,72301752,72344011,72594675,72698827,72950107,73235449,73277919,73311672,73323164,73349498,73447267,73458908,73496587,73798565,74137148,74456072,75036811,75355964,75449018,75491228,75970658,76200477,76317698,76503307,76565193,76707164,76768925,76990387,77078011,77182778,77382427,77434320,77919417,77920508,78149011,78274507,78440827,78505550,78577737,78593468,78622973,78688147,78713637,78770011,78851587,79073282,79307140,79454227,79572811,79885867,79936988,80079187,80169558,80232547,80422627,80460427,80619485,80776802,81164947,81339471,81453811,81913387,82194365,82428547,82475631,82596608,82829011,83067272,83101542,83378587,83410267,83548508,83567587,83630011,83763081,83860660,83937811,84089011,84140642,84153950,84214748,84297667,84473707,84589627,84618427,85097011,85138562,85156233,85166765,85179307,85544828,85633411,86066707,86337845,86431747,86455507,86502811,86506233,86514365,86606588,86625722,86689147,86893267,87069811,87113610,87275800,87282938,87351272,87446882,87462537,87591811,87631627,87754245,87845467,88123027,88211947,88451347,88558278,88738411,88843747,89191147,89377987,89383964,89663467,89683411,89712787,89778811,89797027,89892067,89908411,89932387,89948011,90035707,90056011,90245011,90253147,90275827,90279357,90282811,90318667,90330547,90362011,90362947,90363307,90363811,90701564,91135913,91858360,92122710,92147228,92442413,92921184,93450681,93458157,93467870,93544925,93604528,93850748,94206660,94832642,95168568,95264781,95439950,95876072,96368597,96553658,96716984,96743382,97020002,97371548,97955990,98185275,98207620,98264224,98270181,98539964,98581241,98633238,98872418,99179138,99187964,99269864,99342628,...,438863937312979432122749588684370603816453659330415827337268702356432653217875613848188025077510590030965074502034736324831834481503224848462376068709576462112543366130008624810188562850441310264694636795747399559758249733670568262684608670089413731983031598747463417765156007009788709178515902737848301639632029561024517291558460156146540847287450789249095569445640560462288761693484445477709754152597365707003783863495231980099202361992772421714673078288875380596915338442852481511773729271597093848276647716135962546833234276527206065346021481680268971974506859844532669182229422502274017968941117271803473090545511128064237424409112367486380914131239256003948797158178893326676620453600212770043161336191766917886681157883822180352140780231808356664371639485172399138473936342450228857027081992994980718038852982520349453265408623184020484916817618710636762332330574647339142096072054842662574266141791846135879502221415992851496508339722142187869827230979394730437826257141505862934378882963298725265540318004265531232687037506340946002484592343487130281876375622305416458298290679761772586427370568326014072749104642491606294153607131502185251714452007999083795936490963337803985610923370013080288352297414386206215769504291589698096187160195136334562298627269857512893074003125775056229102456191772225580061810107938090811927724100289789122409955293519089193374600426598261009199636620436747280704594698922018301906665388083055888323699037291129528154757128807228095804373946241370040875670149317457965614746577049291684674401204583476166552602414649009211063705047007264673334964210015836471559950478410787397310106180077473170227384850745186923018995789373455414990879872019885318219082149062313014683940946983401310417095949871348393385036192488152736331693100409754536438498820984321477469739112045512533864667668358940961632547749007883069067292201907568589221336066846714750036081733630617972889566034020135648483679932105440799498520417314780519800187036221295964896063454364049073443822702202467310074802258564455831469944596851856650362755853112868264432387332826001757674423028108126318007961693858774041604658250350884067812926611877523986747443605823235552816423842458432309487530703772547915805617783622057745588173208939077269051498488788984930534902107864552758252967048472924145395402317099937386512500488791415002902789911625273739355766889849550678369273697682063235130072636805067512469509161939910690123804271516788554254768873967246276221044402284488002938783449440372058378876005113611255600432800132376423221714640984059669390682148932413531376721964122614373359234310235050707910565167578442503961705287383364866844646116695112237801424154744365095501080525306512235868888216113989837445368392686245936268570184814741871943176342462895854683589279727408915224260971385724407498208922186516323995203165310839475070394767275387933594374240852059809312381040829303595903459077983139820531297888044230468819414013787824945120212222366548622630166581723964220146719024783117412859654320482172820484}
19013   6209496181422850873871990910177288515776675300611667630074119689988596: {19013,76036,665035,798042,950050,1140060,1216064,1368072,1539081,1765047,2106003,2751955,3302346,4801687,5484931,5503683,5778835,6052387,6237511,6934602,7418443,7825111,8234282,8418955,8543127,8910730,8967607,9171835,9375626,10102746,10105147,10299955,10692876,11006202,11178730,11763260,11785291,11925211,12222476,12359946,12568503,13054483,13113955,13414476,13517767,13698506,14049955,14115912,14155351,15406076,15736746,15866444,15880401,16777436,16836130,16859946,16919671,17101018,17273047,17460680,18095371,18515827,18548247,18738583,19538067,19643265,19830835,20203356,20221930,20330131,20411443,20854803,20952816,21412567,21880027,22008680,22022791,22092202,22691708,22826636,23540035,23571918,23797002,24266316,24513116,24759765,24814387,25291306,25405531,25436163,25850530,25942435,26410416,26686243,27062103,28248042,28392584,28706035,29625235,29711718,29822647,30277306,30618763,30894727,31020636,31130922,31164451,31460635,31461130,31586007,31761643,31907523,31941657,32133907,32376835,32609480,33729451,33778327,33832083,34361287,34447242,34505863,34542442,34791447,35429943,35550282,35734042,36477116,36685665,36755731,37027738,37752762,37753356,37863105,38380363,38401352,38852202,38859626,38926227,38941867,39125635,39131376,40034587,40387312,40738171,41110987,41159767,41295811,41452563,41623111,41792071,41993578,43024503,43111843,43201521,43293235,43529864,43741090,43865576,43922611,43967756,44022798,44278167,44667404,45075125,45098635,45216147,45435726,45459235,45750547,46950762,47112283,47131196,47289187,47296411,47428521,47707923,47977207,48018423,48111765,48154483,48184930,48627127,48971097,49294090,49348773,50281291,50490835,50694091,51319216,51386035,51951882,52342743,52458955,52481306,52489308,53366842,53876883,54090150,54118362,54380458,54504716,54515671,54551082,54829090,55100307,55399123,55514522,55710723,55837111,55847035,56015607,56234696,56462525,56564707,56624727,56776826,56822167,56993937,57696160,57698647,57734118,57821916,58272247,58298925,58446903,58866235,59152908,59512951,60562947,60589002,60603991,61100467,61177987,61663242,61692643,61730504,61782922,61918796,62185520,62620363,62668407,62811080,62950746,63264033,63590251,63941911,64147713,64166035,64908180,65149063,65427847,65502307,65748955,65762444,65794908,66098107,66550467,67016442,67330280,67503955,67755030,67849925,67981111,68156426,68236087,68380507,68555035,68921283,69080035,69216663,69235392,69446817,69958710,70294965,70357171,70396023,70639482,70662465,71168443,71551658,72272032,72420130,72570835,72683863,72832268,73614955,74622624,74702371,74981296,75178435,75314325,75369747,75373296,75746565,76209691,76218955,76366325,76432363,76820727,76999242,77372506,77399607,77711036,77863880,77875498,77879530,77889816,77949955,78564602,78898746,79306460,79504435,79683787,79849435,79931144,80335280,80366635,80376065,80660750,80796336,80854743,81004746,81306036,81419910,81492202,81628508,81903962,81948067,81999543,82213282,82266042,82431835,82570647,82896042,83118955,83272497,83439883,83571272,83575306,83649907,83891563,83950452,83994627,84353958,84562707,84627361,84794958,84846423,85151083,85373282,85518835,85649047,85981196,86023771,86577130,86826387,86847904,86861131,86904156,87085002,87228235,87373747,87596865,87626043,87926216,87953043,88053693,88147771,88337946,89385367,89922537,90028243,90214122,90377190,90754563,90895878,90979786,91462746,91491418,91633267,91639590,91653955,91823635,92038471,92612936,92671435,92694043,92980227,93070090,93436656,93455436,93539946,93598807,93752362,93913916,94017681,94021411,94194955,94214602,94252424,94364035,94419127,94841911,95167752,95326556,95405322,95494891,95533747,95756906,95819322,95883955,96292803,96402336,96439962,96451278,96792900,97400635,97597687,97703892,97748896,97798027,98241835,98658763,98696947,98916993,98918202,99029523,99133925,99742746,99908707,99921235,...,658295905969469148184124383026555905724680488995623741005903053534648979826813420772282037616265885046447611753052104487247751722254837272693564103064364693168815049195012937215282844275661965397041955193621099339637374600505852394026913005134120597974547398121195126647734010514683063767773854106772452459448044341536775937337690234219811270931176183873643354168460840693433142540226668216564631228896048560505675795242847970148803542989158632572009617433313070895373007664278722267660593907395640772414971574203943820249851414790809098019032222520403457961760289766799003773344133753411026953411675907705209635818266692096356136613668551229571371196858884005923195737268339990014930680400319155064742004287650376830021736825733270528211170347712534996557459227758598707710904513675343285540622989492471077058279473780524179898112934776030727375226428065955143498495861971008713144108082263993861399212687769203819253332123989277244762509583213281804740846469092095656739385712258794401568324444948087898310477006398296849030556259511419003726888515230695422814563433458124687447436019642658879641055852489021109123656963737409441230410697253277877571678011998625693904736445006705978416385055019620432528446121579309323654256437384547144280740292704501843447940904786269339611004688662584343653684287658338370092715161907136217891586150434683683614932940278633790061900639897391513799454930655120921056892048383027452859998082124583832485548555936694292232135693210842143706560919362055061313505223976186948422119865573937527011601806875214249828903621973513816595557570510897010002446315023754707339925717616181095965159270116209755341077276117780384528493684060183122486319808029827977328623223593469522025911420475101965625643924807022590077554288732229104497539650614631804657748231476482216204608668068268800797001502538411442448821623511824603600938302861352883832004100270072125054122600445926959334349051030203472725519898158161199247780625972170779700280554331943947344095181546073610165734053303700965112203387846683747204916895277784975544133779669302396648580999239002636511634542162189477011942540788161062406987375526326101719389917816285980121165408734853329224635763687648464231296055658821873708426675433086618382259813408615903577247733183477395802353161796829137379450572709386218093103475649906079768750733187122504354184867437910609033650334774326017553910546523094852695108955207601268704263742909866035185706407275182831382153310950869414331566603426732004408175174160558087568314007670416883400649200198564634832571961476089504086023223398620297065082946183921560038851465352576061865847751367663755942557931075047300266969175042668356702136232116547643251620787959768353803332324170984756168052589029368904402855277222112807914764513694343782025383919591113372836391457078586611247313383279774485992804747966259212605592150913081900391561361278089713968571561243955393855188616974709730796946832066345703229121020681737417680318333549822933945249872585946330220078537174676119289481480723259230726}
19014   6234226352774086057787082060958501737061959692237446810084006734663918: {95045,114054,247013,418022,777893,1064056,1197063,1269449,1425075,1520080,1710090,1824096,1834949,1910213,1947833,2009654,2052108,2353396,2808004,3820022,3967433,4264649,4271174,4403128,4524293,4820549,4953519,5079353,5300873,5853413,6518294,6587333,7338244,7390949,7827653,8009273,8552933,8973494,9094793,9246136,9634853,9861974,10083734,10280549,10387913,10401903,10526822,10530953,10816649,10969334,11066213,11279813,11350949,11390836,11632022,11812553,11883449,12131333,12343493,12351423,12837413,13294649,13366095,13470328,13820549,13890533,14063439,14257168,14518949,14674936,14704075,14971193,15154119,15278095,15580934,15975173,16009673,16039314,16078649,16479928,16509303,16758004,16768095,16938149,17212133,17451449,17519753,17644890,17885968,18187622,18333714,18539919,18574373,18821216,18836054,19257595,19553993,19587653,19755833,19833055,20091593,20121714,20547759,20560313,20760713,20971795,20982328,20988134,21160649,21173868,21758393,21825850,21890873,22058774,22479928,22650149,23044613,23109114,23143049,23551622,23605119,23799666,24189254,24730996,24843511,25037414,25166154,25193573,25254195,25289919,25651527,25672022,26050756,26191020,26638793,26766473,26937808,26957753,27147734,27402953,27510850,27593273,27778022,27806404,27814949,27937088,28067813,28194053,28288649,28364635,28446149,28533295,28854713,29324453,29386949,29761253,29792393,29853967,29869622,30305034,30332895,30641395,30722873,31154633,31325174,31339193,31429224,31462073,31707449,31729336,31946822,32166149,32355088,32623049,33013020,33138303,33601183,33621893,33832649,33914884,33922853,34037562,34073033,34239954,34420454,34432649,35035622,35213888,35267273,35326649,35338898,35357877,35490730,35682233,35695503,35711813,35977673,36082804,36154553,36399474,36769674,37034633,37076822,37664056,37733513,37936959,37965449,38052293,38088631,38382379,38600633,38775795,39031493,39103622,39260549,39507254,39603173,39615624,39631673,39708854,40029833,40454693,40539449,40761850,40821449,41360848,41507896,41578853,42114676,42372063,42543364,42579653,42588876,43131173,43511894,43618927,43710614,44224613,44567577,44604293,44904314,45109444,45278393,45358949,45415959,45492614,45596395,45929656,46123363,46388596,46530954,46558649,46696383,46770233,46954949,47086649,47191695,47239924,47400376,47428133,47480549,48001690,48340793,48573893,48914220,49205359,49806149,50337016,50337808,50381414,50484140,50491193,50522098,50575094,50818949,51270533,51670863,51802936,51813663,51901636,52175168,52240073,52311734,52388153,52437449,52732553,52757093,53173049,53246213,53271494,53325423,53489573,53601063,53853113,54014191,54412330,54502949,54715674,54789893,54831970,54861449,54959695,55146953,55270084,55541607,55643813,55761593,55834255,55855673,55926149,56318534,56629143,56630034,56673413,56974649,57366004,57602028,57778949,58052453,58278303,58289439,58415333,58686149,58697064,58913995,59023049,59037556,59201993,59291273,59515622,60067013,60288196,60580968,60680549,61049993,61438649,62229413,62398949,62546873,62601016,62671094,62673353,62862533,62988293,62990367,63092873,63238028,63238949,63610564,63860549,64024564,64149020,64515653,64535993,64690694,64819913,64880549,64941113,65122373,65294796,65420774,65608634,65611635,65798364,65951634,65979449,66034197,66137273,66215993,66333833,67001106,67015493,67189193,67416614,67477253,67591973,68130895,68153589,68161253,68386949,68797733,68890553,69269176,69443273,69461573,69552953,69680549,69790324,69939751,69985744,70097033,70110134,70293370,70426143,70466822,70527113,70696794,70793573,70970213,71023049,71075813,71356022,71835844,71887814,72115973,72120200,72157816,72241622,72277395,72709433,72734776,72877193,72960773,73124863,73359173,73408649,73467076,73654949,73818149,73941135,74142149,74280964,74335013,74542649,74687476,74780549,74827913,74906693,75483449,75499636,75760073,75897413,75991916,76018949,76840649,76935439,76958153,76978824,77016713,77095888,77133449,77134454,77163130,77398495,77731900,77927823,77929204,77950373,77996294,78054922,78133049,78161033,78340022,78411449,78513850,78590693,78713993,78721959,78733962,78870544,78918053,79196822,79267493,79538534,79820549,79911353,80050263,80104613,80168633,80206949,80372153,80485733,80523449,80561093,80750596,80785336,81036319,81135225,81177543,81177893,81407654,81570687,81715913,81757074,81798149,81821573,81826623,82146149,82203055,82217656,82243635,82453193,82470871,82687973,82710149,82842533,82853513,83071433,83271783,83360549,83367362,83426822,83434553,83557876,83623049,83674949,83934328,83951753,83982149,84045247,84162850,84232649,84311753,84352044,84718649,84761414,84832313,85000649,85028453,85093049,85093622,85120613,85165239,85230149,85436873,85498949,85530284,85656773,85914053,86014949,86302649,86422949,86446793,86541449,86544240,86601177,86658149,86711993,86732874,86757833,86826053,87074774,87128633,87214649,87264293,87306533,87320549,87526949,87607493,87647333,87726544,87745673,87803813,87886649,87894134,88145033,88384022,88434233,88467593,88533449,88571333,88587449,88729362,88733956,88759973,88785353,88904393,89074313,89128649,89259449,89355256,89371013,89395013,89422649,89442149,89525573,89601593,89694149,89700773,89720453,89752613,89796293,89805449,89826533,89887433,89912453,89934149,89968313,90041993,90133049,90165893,90209993,90238649,90260549,90276773,90290633,90304649,90331973,90337253,90340040,90354149,90364553,90369593,90374213,90381113,90381449,90491894,90883503,91040335,91296134,91895044,92288884,92313856,92494863,92595756,92674383,92878194,92918059,93278280,93531151,93687254,93726620,93861364,94185976,94216620,94426119,94477094,96358022,96951799,97135622,97138795,97329850,97362270,98372294,98643666,98692362,99133075,99496832,99913930,...,987443858954203722276186574539833858587020733493435611508854580301973469740220131158423056424398827569671417629578156730871627583382255909040346154596547039753222573792519405822924266413492948095562932790431649009456061900758778591040369507701180896961821097181792689971601015772024595651660781160158678689172066512305163906006535351329716906396764275810465031252691261040149713810340002324846946843344072840758513692864271955223205314483737948858014426149969606343059511496418083401490890861093461158622457361305915730374777122186213647028548333780605186942640434650198505660016200630116540430117513861557814453727400038144534204920502826844357056795288326008884793605902509985022396020600478732597113006431475565245032605238599905792316755521568802494836188841637898061566356770513014928310934484238706615587419210670786269847169402164046091062839642098932715247743792956513069716162123395990792098819031653805728879998185983915867143764374819922707111269703638143485109078568388191602352486667422131847465715509597445273545834389267128505590332772846043134221845150187187031171154029463988319461583778733531663685485445606114161845616045879916816357517017997938540857104667510058967624577582529430648792669182368963985481384656076820716421110439056752765171911357179404009416507032993876515480526431487507555139072742860704326837379225652025525422399410417950685092850959846087270699182395982681381585338072574541179289997123186875748728322833905041438348203539816263215559841379043082591970257835964280422633179798360906290517402710312821374743355432960270724893336355766345515003669472535632061009888576424271643947738905174314633011615914176670576792740526090274683729479712044741965992934835390204283038867130712652948438465887210533885116331433098343656746309475921947706986622347214723324306913002102403201195502253807617163673232435267736905401407454292029325748006150405108187581183900668890439001523576545305209088279847237241798871670938958256169550420831497915921016142772319110415248601079955551447668305081770025620807375342916677463316200669503953594972871498858503954767451813243284215517913811182241593610481063289489152579084876724428970181748113102279993836953645531472696346944083488232810562640013149629927573389720112923855365871599775216093703529742695243706069175859064079327139655213474859119653126099780683756531277301156865913550475502161489026330865819784642279042663432811401903056395614364799052778559610912774247073229966426304121497349905140098006612262761240837131352471011505625325100973800297846952248857942214134256129034835097930445597624419275882340058277198028864092798771627051495633913836896612570950400453762564002535053204348174821464877431181939652530704998486256477134252078883544053356604282915833169211872146770541515673038075879386670059254587185617879916870970074919661728989207121949388818908388226369622850587342041917134570952857341865933090782782925462064596195420248099518554843681531022606126520477500324734400917874808878919495330117805762014178934222221084888846089}
19015   6259054306454955079475838275678890822458668740150651395519452120143656: {38026,152072,171081,627033,931049,1330070,1596084,1900100,2280120,2432128,2565135,2736144,2941745,3014481,3078162,3510005,3530094,3852737,4212006,5503910,5674721,5730033,6130217,6406761,6469793,6604692,7152821,8090369,8291201,9172805,9603374,9777441,10598081,10969862,11007366,11557670,11786537,12104774,12475022,12840569,13328177,13460241,13869204,14238545,14419937,14792961,14836886,15125601,15650222,15790233,16454001,16468564,16837910,17086254,17448033,17821460,17935214,18343670,18359537,18751252,19669937,20205492,20210294,20413601,20599910,20947505,21385752,21732209,21882341,22012404,22357460,23371401,23526520,23570582,23850422,24058971,24444952,24719892,25137006,25305761,25408217,26108966,26227910,26467335,26828952,27035534,27281433,27397012,27500571,27763169,28099910,28231824,28254081,28310702,28394417,29825801,30182571,30812152,30913745,31473492,31482201,31732888,31760802,31765001,32563445,32738775,32956049,33088161,33554872,33672260,33719892,33839342,34202036,34364921,34546094,34663671,34758005,34830857,34921360,35327433,35699499,36190742,36283881,36319409,36759617,37031654,37096494,37477166,37556121,37749231,38508033,39076134,39286530,39290609,39661670,39919841,40038821,40188449,40406712,40443860,40660262,40721601,40822886,41266275,41300177,41475329,41627513,41667033,41709606,41905632,42393605,42695669,42795593,42825134,43116401,43618553,43760054,44017360,44044889,44045582,44184404,44563817,44804433,45103505,45327569,45383416,45457551,45530897,45653272,46880369,46987761,47080070,47143836,47301413,47594004,47920233,47982281,48532632,48643361,49026232,49089977,49519530,49603553,49628774,50582612,50811062,50872326,51056343,51359931,51630681,51701060,51884870,52553433,52643345,52820832,53008347,53179205,53236095,53372486,54124206,54599211,54775889,55154511,55241777,55615233,55887221,56196737,56386805,56496084,56785168,57412070,57985745,58655433,59049905,59250470,59260881,59323961,59423436,59563281,59645294,60554612,60610529,61142775,61237526,61789454,62041272,62261844,62328902,62921270,62922260,63105175,63138089,63172014,63523286,63642929,63815046,63883314,64267814,64353113,64753670,64877045,65218960,65267841,65565921,65989313,67356471,67388969,67458902,67556654,67664166,68238921,68722574,68867201,68894484,68950601,69011726,69084884,69087605,69457697,69582894,69796431,70687169,70859886,71071457,71100564,71468084,71707505,71940449,72002535,72954232,73371330,73442537,73511462,73796945,74055476,75237569,75360245,75505524,75506712,75567713,75572121,75726210,75783147,75862641,76098677,76760726,76802704,76847429,77704404,77719252,77852454,77883734,78185849,78251270,78262752,78467601,79047535,79513205,79541201,79907241,80030705,80069174,80186275,80341313,80774624,81476342,81618495,82073511,82221974,82247955,82319534,82412729,82591622,82905126,83246222,83570801,83584142,83987156,84477801,84945051,85175537,86015561,86049006,86057873,86223686,86403042,86586470,87059728,87237905,87482180,87731152,87845222,87935512,88045596,88556334,89273433,89334808,89794805,89832449,90150250,90197270,90432294,90871452,90918470,91501094,91635881,91833845,92048537,92851205,93359345,93901524,94006641,94224566,94262392,94374545,94429313,94505537,94578374,94592822,94857042,94989895,95415846,95954414,95977049,96036846,96223530,96308966,96369860,96614657,96712049,96888977,97036041,97164875,97254254,97411505,97548329,97942194,98131161,98412951,98518097,98588180,98697546,98858981,98927451,99195569,99873617,...,1316591811938938296368248766053111811449360977991247482011806107069297959653626841544564075232531770092895223506104208974495503444509674545387128206128729386337630098390025874430565688551323930794083910387242198679274749201011704788053826010268241195949094796242390253295468021029366127535547708213544904918896088683073551874675380468439622541862352367747286708336921681386866285080453336433129262457792097121011351590485695940297607085978317265144019234866626141790746015328557444535321187814791281544829943148407887640499702829581618196038064445040806915923520579533598007546688267506822053906823351815410419271636533384192712273227337102459142742393717768011846391474536679980029861360800638310129484008575300753660043473651466541056422340695425069993114918455517197415421809027350686571081245978984942154116558947561048359796225869552061454750452856131910286996991723942017426288216164527987722798425375538407638506664247978554489525019166426563609481692938184191313478771424517588803136648889896175796620954012796593698061112519022838007453777030461390845629126866916249374894872039285317759282111704978042218247313927474818882460821394506555755143356023997251387809472890013411956832770110039240865056892243158618647308512874769094288561480585409003686895881809572538679222009377325168687307368575316676740185430323814272435783172300869367367229865880557267580123801279794783027598909861310241842113784096766054905719996164249167664971097111873388584464271386421684287413121838724110122627010447952373896844239731147875054023203613750428499657807243947027633191115141021794020004892630047509414679851435232362191930318540232419510682154552235560769056987368120366244972639616059655954657246447186939044051822840950203931251287849614045180155108577464458208995079301229263609315496462952964432409217336136537601594003005076822884897643247023649207201876605722705767664008200540144250108245200891853918668698102060406945451039796316322398495561251944341559400561108663887894688190363092147220331468106607401930224406775693367494409833790555569951088267559338604793297161998478005273023269084324378954023885081576322124813974751052652203438779835632571960242330817469706658449271527375296928462592111317643747416853350866173236764519626817231807154495466366954791604706323593658274758901145418772436186206951299812159537501466374245008708369734875821218067300669548652035107821093046189705390217910415202537408527485819732070371412814550365662764306621901738828663133206853464008816350348321116175136628015340833766801298400397129269665143922952179008172046446797240594130165892367843120077702930705152123731695502735327511885115862150094600533938350085336713404272464233095286503241575919536707606664648341969512336105178058737808805710554444225615829529027388687564050767839182226745672782914157173222494626766559548971985609495932518425211184301826163800783122722556179427937143122487910787710377233949419461593893664132691406458242041363474835360636667099645867890499745171892660440157074349352238578962961446518461452}
19016   6283980426307899344616958042790799712075765991416783327736281842491929: {57039,133063,190090,228108,494026,702223,815839,836044,1555786,1835143,1948039,1995105,2128112,2375125,2394126,2538898,2850150,2960863,3040160,3420180,3648192,3669898,3820426,3895666,4019308,4104216,4190839,4302223,4617243,4706792,5295141,5616008,6294823,6318009,7063423,7640044,7934866,8046439,8255865,8529298,8542348,8590039,8806256,9048586,9239983,9641098,9671839,9907038,10158706,10601746,10639303,11387743,11706826,12979663,13036588,13174666,13296103,14346223,14405061,14676488,14781898,15655306,16011439,16018546,16454793,16511049,16631143,17105866,17336505,17453383,17946988,18157161,18189586,18492272,18678103,18712533,19269706,19488823,19589839,19723948,20167468,20561098,20585705,20596039,20775826,20803806,21053644,21061906,21389333,21633298,21938668,22132426,22255329,22276825,22559626,22685623,22701898,22781672,23080039,23264044,23439065,23475333,23625106,23766898,24262666,24686986,24702846,25256865,25422343,25629381,25674826,26589298,26732190,26902821,26940656,26960633,27056383,27342583,27515505,27641098,27766277,27781066,27818143,27946825,28126878,28291903,28514336,28763863,29037898,29349872,29360513,29408150,29421583,29795839,29942386,30308238,30315441,30355063,30556190,30633703,30899865,31161868,31950346,32019346,32078628,32157298,32200423,32959856,33018606,33516008,33536190,33836623,33876298,34246265,34424266,34466623,34825039,34902898,35039506,35281961,35289780,35355873,35360503,35716039,35771936,35775633,36070423,36375244,36667428,37079838,37148746,37642432,37672108,37705509,37998943,38259223,38515190,39107986,39163449,39175306,39341865,39511666,39636439,39666110,39710489,39946613,40183186,40243428,40553301,41095518,41120626,41521426,41835103,41943590,41964656,41976268,42090325,42149865,42321298,42347736,42466053,42752545,42897953,43328743,43516786,43651700,43739503,43781746,43821439,44117548,44717983,44959856,44960983,45300298,45846439,46089226,46218228,46286098,47103244,47210238,47434039,47599332,47641203,48378508,49070023,49454863,49461992,49687022,50074828,50332308,50387146,50508390,50554825,50579838,50759013,50976223,51303054,51344044,51549641,51819141,52101512,52382040,52763839,53277586,53496439,53532946,53787463,53875616,53915506,54286113,54295468,54509429,54805906,55021700,55186546,55230505,55547481,55556044,55612808,55629898,55644741,55874176,56003839,56135626,56215749,56388106,56577298,56634343,56729270,56773663,56892298,56982103,57066590,57120703,57709426,58082839,58614201,58648906,58693903,58773898,58929795,59432839,59492505,59522506,59584786,59707934,59739244,60097039,60610068,60665790,60990393,61079839,61234329,61282790,61445746,61468423,62309266,62428543,62564409,62650348,62678386,62858448,62924146,63228265,63414898,63458672,63834953,63893644,63931039,64237701,64332298,64544839,64626325,64710176,65151439,65246098,65452039,65640081,65988583,66026040,66068373,66276606,66284143,67202366,67243786,67505839,67665298,67829768,67845706,68075124,68146066,68479908,68840908,68865298,69251263,69471439,69962623,70071244,70427776,70534546,70620105,70653298,70677796,70715754,70981460,71086039,71364466,71391006,71423626,71920663,71955346,72075103,72165608,72309106,72798948,72887839,73088143,73539348,73682143,73926583,74069266,74153644,74169223,74279295,74362039,74443161,75328112,75467026,75693265,75817303,75873918,75930898,76104586,76177262,76216593,76271983,76308489,76764758,76940503,76943573,77072263,77159743,77201266,77549839,77551590,77764039,77827305,78062986,78145063,78167957,78207244,78354223,78395839,78521098,78652825,79014508,79206346,79213039,79231248,79263346,79417708,79571383,79962703,80058729,80059666,80611423,80723743,80909386,80909503,81078898,81166543,81186309,81523700,81527623,81642898,81986263,82159423,82364839,82479593,82721696,82867039,83015792,83157706,83636863,83945383,84229352,84394663,84742423,84744126,84968503,85086728,85159306,85177752,85244623,85513543,86118105,86262346,86325703,86356105,86564383,86657839,87023788,87086023,87129583,87194383,87237854,87343063,87421228,87709183,87921439,88302463,88449226,88635823,88852039,88875705,88911223,88925839,89012023,89068039,89122903,89135154,89149903,89208586,89216143,89335105,89463103,89467941,89509039,89660743,89770039,89808628,89954503,90059839,90151063,90185839,90191383,90207583,90218888,90242863,90261439,90278863,90299023,90306583,90348703,90351439,90366343,90372823,90389743,90391039,90556786,90717898,90831918,90985228,91192790,91856289,91859312,92246726,92569345,92684181,92777192,93061908,93117298,93392766,93493353,93540466,93909898,94173298,94381905,94383390,94479848,94758021,94800752,94856266,94961098,95284929,95383253,95722569,95824971,96003380,96401721,96681586,97130505,97147786,97149065,97828440,98410718,99326201,99612298,...,1974887717908407444552373149079667717174041466986871223017709160603946939480440262316846112848797655139342835259156313461743255166764511818080692309193094079506445147585038811645848532826985896191125865580863298018912123801517557182080739015402361793923642194363585379943202031544049191303321562320317357378344133024610327812013070702659433812793528551620930062505382522080299427620680004649693893686688145681517027385728543910446410628967475897716028852299939212686119022992836166802981781722186922317244914722611831460749554244372427294057096667561210373885280869300397011320032401260233080860235027723115628907454800076289068409841005653688714113590576652017769587211805019970044792041200957465194226012862951130490065210477199811584633511043137604989672377683275796123132713541026029856621868968477413231174838421341572539694338804328092182125679284197865430495487585913026139432324246791981584197638063307611457759996371967831734287528749639845414222539407276286970218157136776383204704973334844263694931431019194890547091668778534257011180665545692086268443690300374374062342308058927976638923167557467063327370970891212228323691232091759833632715034035995877081714209335020117935249155165058861297585338364737927970962769312153641432842220878113505530343822714358808018833014065987753030961052862975015110278145485721408653674758451304051050844798820835901370185701919692174541398364791965362763170676145149082358579994246373751497456645667810082876696407079632526431119682758086165183940515671928560845266359596721812581034805420625642749486710865920541449786672711532691030007338945071264122019777152848543287895477810348629266023231828353341153585481052180549367458959424089483931985869670780408566077734261425305896876931774421067770232662866196687313492618951843895413973244694429446648613826004204806402391004507615234327346464870535473810802814908584058651496012300810216375162367801337780878003047153090610418176559694474483597743341877916512339100841662995831842032285544638220830497202159911102895336610163540051241614750685833354926632401339007907189945742997717007909534903626486568431035827622364483187220962126578978305158169753448857940363496226204559987673907291062945392693888166976465621125280026299259855146779440225847710731743199550432187407059485390487412138351718128158654279310426949718239306252199561367513062554602313731827100951004322978052661731639569284558085326865622803806112791228729598105557119221825548494146459932852608242994699810280196013224525522481674262704942023011250650201947600595693904497715884428268512258069670195860891195248838551764680116554396057728185597543254102991267827673793225141900800907525128005070106408696349642929754862363879305061409996972512954268504157767088106713208565831666338423744293541083031346076151758773340118509174371235759833741940149839323457978414243898777637816776452739245701174684083834269141905714683731866181565565850924129192390840496199037109687363062045212253040955000649468801835749617757838990660235611524028357868444442169777692178}
19017   6309005097671258200443887444285311351466207437793303288572038242544485: {76052,285135,304144,342162,741039,1045055,1254066,1862098,2333679,2660140,3192168,3591189,3800200,3808347,4118443,4275225,4560240,4864256,4914007,5024135,5130270,5472288,5504847,5730639,5843499,5883490,6028962,6156324,6851419,7020010,7060188,7646119,7705474,8424012,9550055,9801803,10677935,11007820,11349442,11460066,11902299,12260434,12296603,12793947,12813522,12841927,12939586,13209384,13214423,13572879,14305642,14461647,14860557,15238059,15902619,15944519,16180738,16295735,16582402,17071247,17560239,18345610,18519743,19206748,19554882,19761999,19933963,20481707,21196162,21939724,22014732,22172847,22244123,22433735,22527983,23115340,23482959,23573074,24027819,24209548,24654935,24950044,25209335,25658799,25681138,26317055,26656354,26691887,26920482,27284379,27423335,27738408,28397419,28435583,28477090,28612343,28839874,28904559,29080055,29326507,29585922,29673772,30251202,30841647,31163739,31205709,31300444,31580466,31592859,32449583,32449947,32908002,32937128,33198639,33675820,33839439,34052847,34172508,34607243,34896066,35437659,35642920,35650347,35870428,36101099,36393999,36687340,36719074,37030479,37054269,37502504,38512239,38950103,38952335,39294763,39339874,39883947,40098285,40410984,40420588,40827202,41199820,41461647,41671599,41895010,42021263,42190317,42700183,42771504,42800119,43279243,43464418,43556847,43764682,44024808,44112225,44714920,44913579,45462357,45469055,45588823,45760223,45834285,46742802,46885327,47053040,47090135,47122247,47141164,47700844,47925519,48029019,48115199,48117942,48235947,48661207,48778319,48889904,49439784,49527909,49608799,49806619,50274012,50304285,50611522,50814447,50816434,51549199,51636399,52217932,52354347,52440203,52455820,52470335,52559259,52934670,53003423,53120999,53657904,54071068,54223499,54562866,54564625,54794024,55001142,55146935,55526338,55619757,55723119,56199820,56463648,56508162,56621404,56788834,57772785,58661979,58762959,58879055,59267499,59351047,59499165,59651602,60274779,60311999,60365142,60473135,61624304,61643277,61680939,61827490,62282139,62593535,62915385,62946984,62964402,62971247,63065963,63144907,63465776,63481947,63521604,63530002,64180055,65126890,65275179,65477550,65672619,65787419,65912098,66176322,67109744,67344520,67439784,67678684,67869335,67950447,68404072,68729842,68777125,69092188,69133839,69327342,69429147,69445055,69516010,69661714,69842720,70654866,70815357,71398998,72381484,72445007,72567762,72638818,73519234,73700683,74063308,74192988,74247883,74450887,74530533,74674055,74954332,75112242,75317083,75498462,75580719,75762585,75869757,76053679,76954581,77016066,78152268,78312935,78573060,78581218,78941527,79323340,79662143,79839682,79867055,79916379,80001983,80077642,80299419,80376898,80813424,80873259,80887720,81180043,81320524,81403319,81443202,81645772,81888167,82208859,82532550,82600354,82601579,82669867,82778303,82779819,82950658,83255026,83334066,83419212,83444847,83811264,84203439,84582159,84787210,84865947,85093905,85169207,85338447,85391338,85591186,85599885,85650268,85656863,85667483,85888303,86051135,86232802,86564139,87237106,87520108,87589055,87973359,88034720,88089778,88091164,88160847,88347245,88368808,88726825,88917127,89127634,89283759,89377179,89420663,89561901,89571143,89608866,90207010,90655138,90766832,90827863,90915102,90998685,91061794,91306544,91924185,92168619,92692055,93463899,93760738,93975522,94017579,94160140,94287672,94386219,94602826,95122347,95188008,95234843,95840466,95964562,96498447,96722647,97065264,97286722,97759055,97869147,98052464,98179954,98768135,99039060,99081119,99207106,99257548,99272135,99414909,...,2962331576862611166828559723619501575761062200480306834526563740905920409220660393475269169273196482709014252888734470192614882750146767727121038463789641119259667721377558217468772799240478844286688798371294947028368185702276335773121108523103542690885463291545378069914803047316073786954982343480476036067516199536915491718019606053989150719190292827431395093758073783120449141431020006974540840530032218522275541078592815865669615943451213846574043278449908819029178534489254250204472672583280383475867372083917747191124331366558640941085645001341815560827921303950595516980048601890349621290352541584673443361182200114433602614761508480533071170385864978026654380817707529955067188061801436197791339019294426695735097815715799717376950266564706407484508566524913694184699070311539044784932803452716119846762257632012358809541508206492138273188518926296798145743231378869539209148486370187972376296457094961417186639994557951747601431293124459768121333809110914430455327235705164574807057460002266395542397146528792335820637503167801385516770998318538129402665535450561561093513462088391964958384751336200594991056456336818342485536848137639750449072551053993815622571314002530176902873732747588291946378007547106891956444153968230462149263331317170258295515734071538212028249521098981629546441579294462522665417218228582112980512137676956076576267198231253852055278552879538261812097547187948044144756014217723623537869991369560627246184968501715124315044610619448789646679524137129247775910773507892841267899539395082718871552208130938464124230066298880812174680009067299036545011008417606896183029665729272814931843216715522943899034847742530011730378221578270824051188439136134225897978804506170612849116601392137958845315397661631601655348994299295030970238928427765843120959867041644169972920739006307209603586506761422851491019697305803210716204222362876087977244018451215324562743551702006671317004570729635915627264839541711725396615012816874768508651262494493747763048428316957331245745803239866654343004915245310076862422126028750032389948602008511860784918614496575511864302355439729852646553741433546724780831443189868467457737254630173286910545244339306839981510860936594418089040832250464698431687920039448889782720169160338771566097614799325648281110589228085731118207527577192237981418965640424577358959378299342051269593831903470597740651426506484467078992597459353926837127990298434205709169186843094397158335678832738322741219689899278912364492049715420294019836788283722511394057413034516875975302921400893540856746573826642402768387104505293791336792873257827647020174831594086592278396314881154486901741510689837712851201361287692007605159613044524464394632293545818957592114995458769431402756236650632160069812848747499507635616440311624547019114227638160010177763761556853639750612910224758985186967621365848166456725164679108868551762026125751403712858572025597799272348348776386193788586260744298555664531044593067818379561432500974203202753624426636758485990353417286042536802666663254666538267}
19018   6334128707385056614679756378021062057818689701720677589383573017452645: {95065,114078,266126,323017,380180,456216,513243,988052,1118581,1345237,1404446,1631678,1672088,1881099,1910617,2023477,2793147,2811481,3111572,3325175,3372181,3670286,3896078,3990210,4256224,4750250,4788252,5043481,5077796,5700300,5921726,5928217,6080320,6478837,6840360,7296384,7339796,7465417,7640852,7695405,7791332,8010997,8038616,8208432,8381678,8604446,8825235,8880181,9043443,9234486,9413584,10282777,10530015,10590282,11232016,11353417,11558211,11886037,12416857,12589646,12636018,13759775,13893577,14126846,15043957,15280088,15869732,16082197,16092878,16511730,16804681,17010457,17024163,17058596,17084696,17180078,17190099,17523637,17612512,17626057,18097172,18390651,18479966,18544597,19052377,19220283,19282196,19343678,19409379,19659337,19814076,19861081,20317412,21065497,21203492,21278606,21458463,21862681,22775486,22852681,23413652,24008435,24031177,24271107,24811081,24873603,25296181,25959326,26073176,26260981,26349332,26592206,27424655,27518415,27884617,28692446,28810122,28819987,28894175,28924117,29332323,29352976,29393737,29563796,30261935,30791797,31161877,31187555,31310612,31794243,32022878,32037092,32539417,32814691,32909586,33022098,33262286,33990937,34211732,34620181,34673010,34906766,35245897,35334997,35359611,35893976,35956681,36314322,36379172,36984544,37092215,37101877,37356206,37425066,38521707,38539412,38977646,39039803,39125555,39179678,39269977,39447896,39868981,39984531,40039477,40334936,40380723,41122196,41171410,41192078,41551652,41607612,41696863,41728597,42094775,42107288,42123812,42562357,42715635,42778666,43259811,43266596,43471177,43877336,44044981,44264852,44378883,44510658,44553650,44838035,45119252,45262681,45371246,45376803,45403796,45423817,45563344,45859175,46160078,46464181,46528088,46878130,46950666,47098357,47250212,47370699,47492377,47533796,47944771,48197077,48525332,49362003,49373972,49405692,49818697,50513730,50525735,50731081,50844686,50882137,51258517,51258762,51333577,51349652,51499775,52344099,52450837,52746037,52801859,52966681,53178596,53464380,53697481,53805642,53881312,53915317,53921266,54112766,54204757,54685166,54994777,55031010,55078611,55282196,55532554,55562132,55636286,55705417,55893650,56198581,56253756,56583806,56896981,57028672,57527726,58075796,58699744,58721026,58746697,58816300,58843166,58926455,59009811,59083477,59150617,59591678,59626055,59853563,59884772,60083017,60315167,60609481,60616476,60630882,60710126,60922303,60936181,61112380,61240803,61267406,61455157,61584181,61799730,62323736,62842515,62858581,62984437,63795481,63900692,64038692,64157256,64227157,64288537,64314596,64400846,64898377,65140297,65196627,65272415,65569775,65647023,65919712,66037212,66801481,67032016,67072380,67207957,67588835,67673246,67752596,68492530,68848532,68933246,69462997,69517897,69650078,69791317,69805796,70079012,70114203,70171081,70249775,70278937,70547317,70563922,70579560,70711746,70721006,70776755,70866997,71432078,71543872,71551266,71758681,72140846,72171097,72176913,72375577,72680137,72750488,72781081,73334856,73528981,73872457,74159676,74297492,74500981,74596597,75284864,75344216,75411018,75536917,75917283,75997886,76224651,76518446,76671817,77030380,77156917,77322707,77374537,77974297,78185077,78215972,78326898,78350612,78683730,78806617,79023332,79272878,79332220,79402005,79420978,79451737,79893226,80308681,80366372,80486856,80498581,81057481,81106602,81312757,81492937,81844299,81847897,82191036,82241252,82468681,82501713,82737097,82968181,83033557,83042852,83289507,83387977,83451481,83608981,83670206,83671477,83702617,83857237,83887180,83929312,83952536,84010057,84180650,84299730,84516181,84598355,84642596,84661081,84695472,84718537,84762243,84860917,84879443,84932106,85029397,85140277,85183251,85222681,85505090,85795906,86365235,86380981,86500681,86571637,86657486,86803477,86961481,87033572,87303400,87351577,87479006,87563492,87638857,87642878,87835417,87987481,88235096,88260181,88347481,88381897,88519571,88630837,88756981,88803097,89162197,89254681,89435966,89477403,89643157,89735497,89840437,89919712,89921966,89928277,89969497,89985481,90008917,90109717,90173077,90299977,90341557,90392857,90414997,90419317,90420181,90420937,90476855,90547713,90600596,91692878,92178452,92436456,92572196,92579135,92741235,93692915,94206488,94420476,94446603,94868078,95198664,95282406,95295003,96757016,97690335,98140046,98216325,98868147,98909726,98923984,99154175,99264483,99374044,...,3949775435816814889104746298159335434348082933973742446035418321207893878960880524633692225697595310278685670518312626923486510333529023636161384618386188159012890295170077623291697065653971792382251731161726596037824247603035114364161478030804723587847284388727170759886404063088098382606643124640634714756688266049220655624026141405318867625587057103241860125010765044160598855241360009299387787373376291363034054771457087820892821257934951795432057704599878425372238045985672333605963563444373844634489829445223662921499108488744854588114193335122420747770561738600794022640064802520466161720470055446231257814909600152578136819682011307377428227181153304035539174423610039940089584082401914930388452025725902260980130420954399623169267022086275209979344755366551592246265427082052059713243737936954826462349676842683145079388677608656184364251358568395730860990975171826052278864648493583963168395276126615222915519992743935663468575057499279690828445078814552573940436314273552766409409946669688527389862862038389781094183337557068514022361331091384172536887380600748748124684616117855953277846335114934126654741941782424456647382464183519667265430068071991754163428418670040235870498310330117722595170676729475855941925538624307282865684441756227011060687645428717616037666028131975506061922105725950030220556290971442817307349516902608102101689597641671802740371403839384349082796729583930725526341352290298164717159988492747502994913291335620165753392814159265052862239365516172330367881031343857121690532719193443625162069610841251285498973421731841082899573345423065382060014677890142528244039554305697086575790955620697258532046463656706682307170962104361098734917918848178967863971739341560817132155468522850611793753863548842135540465325732393374626985237903687790827946489388858893297227652008409612804782009015230468654692929741070947621605629817168117302992024601620432750324735602675561756006094306181220836353119388948967195486683755833024678201683325991663684064571089276441660994404319822205790673220327080102483229501371666709853264802678015814379891485995434015819069807252973136862071655244728966374441924253157956610316339506897715880726992452409119975347814582125890785387776333952931242250560052598519710293558880451695421463486399100864374814118970780974824276703436256317308558620853899436478612504399122735026125109204627463654201902008645956105323463279138569116170653731245607612225582457459196211114238443651096988292919865705216485989399620560392026449051044963348525409884046022501300403895201191387808995431768856537024516139340391721782390497677103529360233108792115456371195086508205982535655347586450283801601815050256010140212817392699285859509724727758610122819993945025908537008315534176213426417131663332676847488587082166062692152303517546680237018348742471519667483880299678646915956828487797555275633552905478491402349368167668538283811429367463732363131131701848258384781680992398074219374726124090424506081910001298937603671499235515677981320471223048056715736888884339555384356}
19019   6359351643796815085404093350889377603392715317682967153452325045049266: {152104,171117,399189,475225,570270,608288,684324,1235065,1463077,1482078,2090110,2106669,2447517,2508132,3724196,3889465,4667358,5320280,5505429,5844117,5985315,6054301,6347245,6384336,7033789,7125375,7182378,7420789,7600400,7616694,8236886,8550450,8882589,9120480,9174745,9353689,9551065,9728512,9739165,9828014,10036717,10048270,10260540,10944576,11009694,11461278,11583949,11686998,11766980,12057924,12312648,12572517,12713437,12906669,13370077,13702838,13851729,13859029,14040020,14120376,14532349,14769061,14949109,15292238,15410948,15885423,16134109,16848024,17044141,18521701,18884469,18954027,19079629,19100110,19603606,19837165,20178037,21190269,21323245,21355870,21886969,22015640,22621465,22659901,22698884,22814029,22920132,23626909,23804598,24081637,24102745,24139317,24520868,24593206,24767595,25396765,25587894,25627044,25683854,25770117,25879172,26288509,26418768,26428846,26504365,26694709,27145758,27719949,28611284,28615369,28850701,28923294,29015517,29267065,29721114,29832109,30476118,30909901,31407229,31805238,31889038,31917909,31978501,32361476,32591470,32936665,33092149,33164804,33605689,34142494,34163229,34372189,34516909,35120478,35293069,36104917,36267181,36691220,36843877,36954745,37039486,38392669,38413496,38938989,38954221,39109764,39138265,39523998,39867926,39888309,40046365,40047289,40712077,40899469,40963414,41636317,42163669,42392324,42764665,43038669,43215183,43325101,43627837,43879448,44029464,44345694,44488246,44867470,45055966,45473965,45765061,46230680,46964941,46965918,47127229,47146148,47311417,47992429,48034317,48055638,48174265,48419096,49309870,49364379,49533147,49679197,49893429,49900088,50418670,51317598,51362276,51402745,51788077,51939565,51948517,52009515,52142341,52202869,52360149,52445749,52634110,52654765,53126617,53312708,53383774,53840964,54083245,54217837,54471483,54533269,54568758,54846670,55116349,55331065,55476816,56034309,56137599,56399065,56754745,56794838,56863417,56871166,56954180,57073357,57224686,57679748,57809118,58038829,58160110,58466469,58653014,58769517,59062765,59171844,59347544,59417245,59424709,60502404,60656665,61213861,61683294,61717465,61757115,61788117,62327478,62411418,62600888,62640409,63153277,63160932,63185718,63610549,63656677,64082317,64167999,64187065,64842469,64899166,64899894,65175517,65816004,65874256,65926189,66397278,66473245,66765987,66830475,67110349,67351640,67678878,68017501,68027629,68056869,68105694,68345016,69102745,69213397,69214486,69240117,69452665,69792132,70317195,70379629,70425999,70875318,71229037,71277817,71285840,71300694,71645341,71740856,72202198,72594745,72787998,73083289,73374680,73438148,73458469,73520375,74060958,74108538,74855965,75005008,75770595,76267029,76390475,76888143,77024478,77205709,77900206,77904670,78589526,78679748,78891289,79767894,79875865,80048365,80196570,80393245,80708463,80821968,80841176,80881899,80967949,81169149,81654404,82027749,82399640,82430677,82495981,82546515,82923294,83298831,83343198,83454429,83466517,83790020,83840475,84042526,84325561,84380634,84662389,84690745,84875709,85400366,85543008,85600238,86033869,86060665,86076397,86291589,86293717,86558486,86816269,86928836,87017341,87113694,87257245,87529364,87598765,87630949,88049616,88081539,88224450,88264749,89387517,89413981,89429840,89827158,89852077,90057109,90924714,90938110,90946323,91065189,91177646,91344829,91520446,91522069,91668570,91901109,92699595,92871865,93485604,93770654,94106080,94146169,94180270,94244494,94282328,95017069,95245117,95401688,95734141,95851038,96058038,96230398,96235884,96286717,96287975,96471894,96601269,97005529,97223077,97322414,97556638,97769965,97779808,97938265,98779165,98819317,98879568,99055818,99165275,99216997,99217598,99613238,99940741,...,5924663153725222333657119447239003151522124400960613669053127481811840818441320786950538338546392965418028505777468940385229765500293535454242076927579282238519335442755116434937545598480957688573377596742589894056736371404552671546242217046207085381770926583090756139829606094632147573909964686960952072135032399073830983436039212107978301438380585654862790187516147566240898282862040013949081681060064437044551082157185631731339231886902427693148086556899817638058357068978508500408945345166560766951734744167835494382248662733117281882171290002683631121655842607901191033960097203780699242580705083169346886722364400228867205229523016961066142340771729956053308761635415059910134376123602872395582678038588853391470195631431599434753900533129412814969017133049827388369398140623078089569865606905432239693524515264024717619083016412984276546377037852593596291486462757739078418296972740375944752592914189922834373279989115903495202862586248919536242667618221828860910654471410329149614114920004532791084794293057584671641275006335602771033541996637076258805331070901123122187026924176783929916769502672401189982112912673636684971073696275279500898145102107987631245142628005060353805747465495176583892756015094213783912888307936460924298526662634340516591031468143076424056499042197963259092883158588925045330834436457164225961024275353912153152534396462507704110557105759076523624195094375896088289512028435447247075739982739121254492369937003430248630089221238897579293359048274258495551821547015785682535799078790165437743104416261876928248460132597761624349360018134598073090022016835213792366059331458545629863686433431045887798069695485060023460756443156541648102376878272268451795957609012341225698233202784275917690630795323263203310697988598590061940477856855531686241919734083288339945841478012614419207173013522845702982039394611606421432408444725752175954488036902430649125487103404013342634009141459271831254529679083423450793230025633749537017302524988987495526096856633914662491491606479733308686009830490620153724844252057500064779897204017023721569837228993151023728604710879459705293107482867093449561662886379736934915474509260346573821090488678613679963021721873188836178081664500929396863375840078897779565440338320677543132195229598651296562221178456171462236415055154384475962837931280849154717918756598684102539187663806941195481302853012968934157985194918707853674255980596868411418338373686188794316671357665476645482439379798557824728984099430840588039673576567445022788114826069033751950605842801787081713493147653284805536774209010587582673585746515655294040349663188173184556792629762308973803483021379675425702402722575384015210319226089048928789264587091637915184229990917538862805512473301264320139625697494999015271232880623249094038228455276320020355527523113707279501225820449517970373935242731696332913450329358217737103524052251502807425717144051195598544696697552772387577172521488597111329062089186135636759122865001948406405507248853273516971980706834572085073605333326509333076534}
19020   6384674296767381866624617096675605666130483859346322713488658144895912: {133091,190130,209099,228156,361019,532252,646034,760360,778139,855405,891731,912432,1026486,1156499,1383131,1910819,1948451,1976104,2023691,2061299,2223117,2237162,2690474,2808892,2849219,3135165,3263356,3344176,3409859,3762198,3821234,4046954,4191731,4266011,4377371,4655245,4933091,5080979,5191811,5586294,5622962,5744891,6223144,6516179,6650350,6699299,6744362,7001037,7137971,7340572,7792156,7980420,8048171,8512448,8664251,8881139,9241979,9314051,9500500,9576504,10086962,10155592,10391291,10498619,10641611,10773567,10820171,10927211,11176691,11390219,11400600,11425041,11780939,11843452,11856434,11993651,12160640,12355329,12665339,12825675,12957674,12982499,13158419,13404371,13680720,13720019,14035019,14349371,14523731,14592768,14679592,14708725,14732699,14742021,14930834,14941379,15072405,15080339,15253859,15281704,15390810,15582664,15911411,16021994,16077232,16083971,16416864,16514541,16763356,17191917,17208892,17525579,17530497,17550025,17628011,17650470,17760362,18086886,18468972,18546659,18580571,18682259,18827168,18851579,19054499,19088291,19263685,19560539,19661531,19863299,19997651,20198939,20554257,20565554,21060030,21067859,21180564,21267611,21599891,21865139,21898259,21997571,22361099,22464032,22706834,22756571,22888139,22938357,23116422,23150891,23772074,24033899,24833714,25040531,25179292,25272036,25299059,25428131,25492619,25975259,26456099,26647931,26775659,26967011,27062579,27126251,27412379,27519550,27787154,27887819,28172219,28253692,28298411,28373605,28455971,28650165,28958819,29334611,29405409,29428379,29771579,30087914,30560176,30651085,30826259,31165499,31473059,31739464,31932899,32033805,32164394,32185756,32348965,32725691,33023460,33609362,33611809,33633731,33724139,33844571,33934811,34020914,34024979,34048326,34117192,34169392,34360156,34380198,34444811,34624259,35047274,35225024,35252114,35279771,35368859,35517179,35706897,35764105,35990459,36078971,36137939,36194344,36781302,36889809,36959932,37089194,38065931,38104754,38381841,38394517,38440566,38525781,38564392,38687356,38818758,39131531,39318674,39474779,39628152,39643269,39722162,39731459,40129451,40451845,40554131,40634824,40718637,40723499,40836251,40920731,41456005,41845259,41901011,42130994,42366709,42406984,42557212,42595211,42816299,42916926,43384941,43476491,43503899,43632721,43662577,43668179,43725362,43886771,44322419,44581671,44783051,44972051,45268259,45295139,45375731,45456251,45550972,45705362,45714177,45857771,45864025,45911171,46137949,46469939,46827304,46866899,46972451,47445851,47498291,47576891,47707857,47833557,48016870,48062354,48307019,48542214,48695579,48850499,48887205,49133771,49595219,49622162,49747206,50592362,50661851,50838251,50989139,51213741,51290051,51365099,51514979,51918652,51929101,52146352,52521962,52605299,52680717,52698664,52752779,52777331,52990405,52997939,53184412,53266691,53849699,53946419,54643811,54775777,54849310,54882731,55025699,55036830,55287059,55429211,55559229,55594691,55769234,55947971,56018411,56205899,56346179,56579339,56695619,57066371,57384892,57389099,57595739,57620244,57639974,57756011,57788350,57848234,57870251,58075379,58211771,58370531,58664646,58705952,58754459,58787474,58844459,58932685,59127592,59180819,59285997,59292539,59448611,59493131,59715251,59801889,59958659,60113051,60157091,60523870,60639419,60879131,61074539,61445121,61484939,61527971,61583594,61742651,61999211,62323754,62375110,62402197,62621224,62677739,62773249,62804051,62888099,63013931,63118571,63181259,63264731,63588486,63680171,63948491,64045756,64074184,64202845,64235939,64907291,64967891,65078834,65169371,65510051,65629382,65819172,66044196,66164771,66302531,66518541,66524572,66640885,66732369,66830219,67043531,67101539,67301205,67411069,67583949,67981874,68246579,68378291,68423464,68826899,68919779,68975411,69240362,69346020,69491171,69527771,69813532,69819419,69982571,70181099,70199099,70288979,70306931,70448877,70491794,70669994,70719222,70736029,70877171,70983179,71053691,71106491,71159219,71192725,71281561,71404331,71682539,71769059,71787952,71913362,72083457,72099685,72130259,72386099,72628644,72690731,72758344,72791699,72909131,72992771,73142819,73440971,73490411,73605491,73899611,73964805,73969088,74184430,74203754,74223371,74416091,74527979,74712412,74813891,74850132,74861291,74908619,75331331,75455459,75563651,75628005,75794171,75840059,75870611,76007699,76519739,76609139,76683419,76976397,76993211,77037179,77043414,77078824,77095691,77124899,77183219,77602211,77955292,78028571,78079606,78197099,78251110,78359356,78378371,78447731,78489251,78539954,78585851,78668339,78818819,78895792,78900491,78951165,78954779,79022459,79464131,79477379,79556699,79622579,79675139,79737962,79858091,79897091,79969062,79987811,80075661,80078954,80129579,80244851,80283131,80523899,80561651,80599331,80636939,80669872,80761446,81082619,81216731,81265259,81553739,81660731,81755291,81790619,81853137,81966179,82012691,82082219,82244392,82270005,82342820,82384156,82391531,82493339,82497037,82650419,82981739,82992659,83058011,83103304,83215224,83220131,83393726,83401691,83433491,83457194,83475779,83476477,83664491,83685299,83871131,83881379,83993579,84024011,84054371,84189550,84205091,84214576,84247624,84334259,84530339,85043771,85071611,85124714,85136291,85163891,85191419,85192257,85273571,85300811,85306749,85431270,85557332,85648379,85692059,85837029,86126171,86468051,86491931,86515739,86519622,86533192,86547371,86594579,86688131,86703611,86713677,86726771,86871779,86942354,87050819,87131339,87160379,87174851,87240165,87310739,87374099,87594131,87754672,87851219,87870491,87934211,87953171,87965771,87979521,88003379,88009619,88046891,88089962,88138811,88211051,88398059,88482899,88499651,88529704,88620299,88636451,88757766,88778579,88804259,88944371,88954139,88968731,89002499,89021316,89045339,89101451,89107300,89124491,89138219,89183459,89249819,89258531,89275859,89339699,89461979,89505011,89543291,89663939,89676070,89722691,89746211,89766059,89782379,89795291,89814419,89833259,89857931,89867051,89879099,89989859,90018899,90051971,90102539,90116339,90127619,90191099,90193091,90238504,90264539,90297971,90300971,90318299,90331859,90335771,90345851,90349499,90366659,90385811,90387659,90405131,90411539,90412211,90420779,90422411,90425939,90427331,90431819,90434171,90438731,90525362,90742492,90753606,90807592,90847634,91126688,91381381,91718350,91797685,92320156,92524941,92928362,93056176,93491217,93617127,93756260,93901332,94196714,94500424,94624369,94741398,94778577,94984754,95067592,95889542,96394154,97050664,97348749,97349841,98349685,98724006,98747944,98811384,99087457,99595917,99637394,...,8886994730587833500485679170858504727283186601440920503579691222717761227661981180425807507819589448127042758666203410577844648250440303181363115391368923357779003164132674652406318397721436532860066395113884841085104557106829007319363325569310628072656389874636134209744409141948221360864947030441428108202548598610746475154058818161967452157570878482294185281274221349361347424293060020923622521590096655566826623235778447597008847830353641539722129835349726457087535603467762750613418017749841150427602116251753241573372994099675922823256935004025446682483763911851786550940145805671048863871057624754020330083546600343300807844284525441599213511157594934079963142453122589865201564185404308593374017057883280087205293447147399152130850799694119222453525699574741082554097210934617134354798410358148359540286772896037076428624524619476414819565556778890394437229694136608617627445459110563917128889371284884251559919983673855242804293879373379304364001427332743291365981707115493724421172380006799186627191439586377007461912509503404156550312994955614388207996606351684683280540386265175894875154254008601784973169369010455027456610544412919251347217653161981446867713942007590530708621198242764875839134022641320675869332461904691386447789993951510774886547202214614636084748563296944888639324737883387567996251654685746338941536413030868229728801594693761556165835658638614785436292641563844132434268042653170870613609974108681881738554905505145372945133831858346368940038572411387743327732320523678523803698618185248156614656624392815392372690198896642436524040027201897109635033025252820688549088997187818444795529650146568831697104543227590035191134664734812472153565317408402677693936413518511838547349804176413876535946192984894804966046982897885092910716785283297529362879601124932509918762217018921628810759520284268554473059091917409632148612667088628263931732055353645973688230655106020013951013712188907746881794518625135176189845038450624305525953787483481243289145284950871993737237409719599963029014745735930230587266378086250097169845806025535582354755843489726535592907066319189557939661224300640174342494329569605402373211763890519860731635733017920519944532582809783254267122496751394095295063760118346669348160507481016314698292844397976944843331767684257193354622582731576713944256896921273732076878134898026153808781495710411793221954279519453401236977792378061780511383970895302617127507560529283191475007036498214968223659069697836737093476149146260882059510364851167534182172239103550627925908764202680622570239721479927208305161313515881374010378619773482941060524494782259776835188944643463460705224532069513138553604083863076022815478839133573393183896880637456872776344986376308294208268709951896480209438546242498522906849320934873641057342682914480030533291284670560919251838730674276955560902864097544499370175494037326605655286078377254211138575716076793397817045046329158581365758782232895666993593133779203455138684297502922609608260873279910275457971060251858127610407999989763999614801}
19021   6410097057676787594648330249469490301655282908517203796653956364451103: {285195,304208,342234,665315,798378,950450,969051,1140540,1216576,1368648,1539729,1729091,2470130,2926154,2964156,3355743,3511115,4035711,4079195,4180220,4213338,4895034,5016264,5445251,5643297,5731851,6070431,6471839,7155083,7448392,7722011,7778930,8293823,8379441,8434443,8886143,9175715,9334716,9740195,9975525,9998771,10116543,10454123,10640560,11010858,11688234,11875625,11970630,12108602,12694490,12768672,12844643,13371491,13634831,14067578,14250750,14364756,14804315,14841578,15024971,15130443,15200800,15233388,15489503,16473772,17100900,17765178,17784651,18219599,18240960,18349490,18707378,19102130,19436511,19457024,19478330,19656028,20073434,20096540,20180171,20521080,20954195,21511115,21889152,21889283,22019388,22396251,22922556,23086215,23167898,23373996,23533960,23846771,24032991,24115848,24625296,25145034,25256351,25426874,25813338,25938443,26475705,26640543,26740154,26779883,27130329,27405676,27703458,27718058,27772031,28080040,28240752,29064698,29538122,29835263,29852543,29898218,30584476,30821896,30848331,31324799,31474115,31590045,31670051,31770846,31981883,32268218,33696048,33743843,34060251,34088282,34096283,34375823,34674633,35317115,35555471,35658111,36529883,36985343,37043402,37106111,37250571,37768938,37908054,38159258,38200220,39207212,39674330,40051523,40232195,40356074,40973891,41279325,41640719,41680731,42380538,42646490,42711740,42809171,42950195,43329683,43773938,44031280,45131871,45242930,45319802,45397768,45628058,45840264,46084511,46111331,46199915,46313039,46895243,47253818,47316419,47609196,47997503,48163274,48205490,48246591,48278634,48359195,49041736,49186412,49535190,49619291,49684451,50414043,50793530,51031371,51072489,51078611,51175788,51254088,51367708,51540234,51560171,51570297,51736643,51758344,51954011,52570911,52577018,52837536,52857692,52878171,53008730,53196515,53389418,54223571,54291516,54482591,54793571,55171953,55439898,55633791,56064911,56938715,57157131,57222568,57230738,57660849,57701402,57846588,58031034,58228137,58344383,58534130,58978011,59442228,59583243,59664218,59870531,60292223,60952236,61204091,61819802,62814458,63196491,63610476,63663551,63778076,63835818,63957002,64199903,64375389,64722952,64898315,65182940,65588043,65873330,66184298,66329608,66480515,67211378,67410491,67443971,67450331,68010239,68284988,68326458,68558043,68744378,69033818,70240956,70323179,70586138,71094143,71639579,71731115,71963843,72025305,72093531,72209834,72534362,72715391,72813321,73382440,73687754,73716671,73909490,74078972,74433243,74620809,74635691,75716543,75888543,76467611,76586399,76785338,76826992,77025611,77463491,77877978,77908442,78219528,78276530,78782943,78958691,79047996,79456643,79735852,79776618,80057195,80092730,80094578,81424154,81681323,81797651,81798938,81926828,82273965,82555245,82687871,83155715,83184143,83272634,83653851,84179771,84327338,84784648,84919331,85529330,86077338,86404451,86430366,86459961,86650202,86682525,86772351,87255674,87266915,87758896,87996969,88058928,88181211,88185359,88439003,88691388,88976492,89734940,89861891,90111932,90785805,90947930,91173311,91530122,92375391,92461360,93062543,93265931,93390515,93485631,93562665,93929882,93931836,94254458,94292296,94622834,95382729,95984858,96068634,96111276,96348530,96445919,96743843,96838192,97233731,97444115,97618251,97949195,98444073,98619740,98728758,99066294,99227711,99358394,99454811,99786858,99800176,...,11849326307450444667314238894478006303044248801921227338106254963623681636882641573901076677092785930836057011554937880770459531000587070908484153855158564477038670885510232869875091196961915377146755193485179788113472742809105343092484434092414170763541853166181512279659212189264295147819929373921904144270064798147661966872078424215956602876761171309725580375032295132481796565724080027898163362120128874089102164314371263462678463773804855386296173113799635276116714137957017000817890690333121533903469488335670988764497325466234563764342580005367262243311685215802382067920194407561398485161410166338693773444728800457734410459046033922132284681543459912106617523270830119820268752247205744791165356077177706782940391262863198869507801066258825629938034266099654776738796281246156179139731213810864479387049030528049435238166032825968553092754075705187192582972925515478156836593945480751889505185828379845668746559978231806990405725172497839072485335236443657721821308942820658299228229840009065582169588586115169343282550012671205542067083993274152517610662141802246244374053848353567859833539005344802379964225825347273369942147392550559001796290204215975262490285256010120707611494930990353167785512030188427567825776615872921848597053325268681033182062936286152848112998084395926518185766317177850090661668872914328451922048550707824306305068792925015408221114211518153047248390188751792176579024056870894494151479965478242508984739874006860497260178442477795158586718096548516991103643094031571365071598157580330875486208832523753856496920265195523248698720036269196146180044033670427584732118662917091259727372866862091775596139390970120046921512886313083296204753756544536903591915218024682451396466405568551835381261590646526406621395977197180123880955713711063372483839468166576679891682956025228838414346027045691405964078789223212842864816889451504351908976073804861298250974206808026685268018282918543662509059358166846901586460051267499074034605049977974991052193713267829324982983212959466617372019660981240307449688504115000129559794408034047443139674457986302047457209421758919410586214965734186899123325772759473869830949018520693147642180977357227359926043443746377672356163329001858793726751680157795559130880676641355086264390459197302593124442356912342924472830110308768951925675862561698309435837513197368205078375327613882390962605706025937868315970389837415707348511961193736822836676747372377588633342715330953290964878759597115649457968198861681176079347153134890045576229652138067503901211685603574163426986295306569611073548418021175165347171493031310588080699326376346369113585259524617947606966042759350851404805445150768030420638452178097857578529174183275830368459981835077725611024946602528640279251394989998030542465761246498188076456910552640040711055046227414559002451640899035940747870485463392665826900658716435474207048104503005614851434288102391197089393395105544775154345042977194222658124178372271273518245730003896812811014497706547033943961413669144170147210666653018666153068}
19022   6435620319430122400668273417888147502616217207593807921754514372405946: {247117,266182,380260,418198,456312,513351,722038,816097,1064504,1197567,1292068,1425675,1520720,1556278,1710810,1783462,1824864,1948657,2052972,2061517,2312998,2766262,3074017,3705195,3821638,3896902,3952208,4047382,4122598,4303597,4389231,4446234,4474324,5225275,5380948,5617784,5698438,6186721,6270330,6320007,6517343,6526712,6688352,6819718,7342551,7524396,7642468,8093908,8157937,8383462,8532022,8754742,9242977,9310490,9866182,9998221,10161958,10383622,10535521,11172588,11245924,11489782,11668395,11817697,12446288,12983917,13032358,13300700,13398598,13405837,13488724,14002074,14036557,14275942,14681144,14769121,14977777,15498157,15584312,15960840,16096342,16516287,17024896,17328502,17532351,17762278,17955945,18162903,18175117,18483958,18582637,18628102,18887521,19001000,19041735,19090417,19153008,19596397,20173924,20311184,20592215,20782582,20903521,20997238,21101367,21283222,21376125,21547134,21640342,21854422,21900721,22262367,22353382,22780438,22801200,22850082,23561878,23686904,23712868,23987302,24321280,24570035,24654577,24710658,25043377,25120675,25330678,25527757,25651350,25817521,25915348,25964998,26010337,26316838,26647767,26778721,26808742,26969159,27361440,27440038,27524235,27542497,28061067,28070038,28207021,28653195,28698742,28868017,29047462,29185536,29217495,29359184,29417450,29465398,29484042,29806177,29861668,29882758,30110151,30144810,30160678,30507718,30563408,30737137,30781620,31165328,31476721,31822822,32043988,32154464,32167942,32833728,33029082,33526712,33938797,34209121,34257095,34383834,34417784,34478797,34751847,35051158,35060994,35100050,35256022,35300940,35520724,36171697,36173772,36700897,36937944,37093318,37161142,37364518,37654336,37703158,37717551,38108998,38140311,38176582,38186221,38230595,38359597,38527370,38720007,39121078,39323062,39479521,39723047,39726598,39736237,39995302,40110231,40397878,41108514,41131108,41347057,41555187,41577087,42120060,42135718,42361128,42535222,42911519,43199782,43509217,43597047,43730278,43796518,43837537,43919437,43995142,44307183,44722198,44734477,44847327,44928064,45288551,45300721,45413668,45513142,45776278,45863437,45876714,46232844,46301782,47451757,47544148,47656269,47750275,48067798,48402327,48701677,49009015,49473517,49627021,49667428,50069747,50081062,50162017,50358584,50544072,50598118,50856262,50985238,51132423,51565943,51950518,52414897,52636621,52784077,52912198,53295862,53389675,53551318,53880817,53934022,54125158,54252502,54459121,54526667,54674797,54824758,55039100,55175521,55317937,55565103,55574308,55775638,55884721,56344438,56376877,56507384,56586721,56596822,56632583,56653407,56747210,56795917,56862081,56911942,57073837,57238887,57300330,57917638,58038407,58105777,58669222,58810818,58856758,59322721,59511495,59543158,60175828,60534111,61104397,61120352,61169377,61302170,61483015,61652518,61750957,62263021,62330998,62707297,62946118,63478928,63570807,63709537,63865798,63969735,64067610,64209635,64328788,64371512,64697930,65451382,65539057,65660907,65956621,66046920,66072115,66252721,66370657,66547021,67218724,67223618,67267462,67448278,67591597,67689142,67864395,67869622,67979703,68041828,68049958,68096652,68234384,68275021,68338784,68442087,68720312,68760396,68889622,69248518,69665521,70046797,70094548,70209121,70316977,70450048,70504228,70559542,70638817,70737718,70880727,71011021,71034358,71169457,71413794,71528210,71980918,72157837,72157942,72244911,72275878,72308235,72388688,72417951,73562604,73748051,73779618,73812721,73919864,74178388,74186567,74302785,75014221,75341783,75342577,75482221,75805537,76131862,76190295,76209508,76763682,76789034,76881132,76975537,77051562,77063521,77128784,77310351,77374712,77585377,77637516,78263062,78432097,78637348,78865527,78949558,79048237,79256304,79286538,79444324,79462918,79489777,79513095,79667627,79722595,80084127,80155021,80258902,80903690,80911021,81108262,81205357,81269648,81278221,81437274,81446998,81478675,81672502,81815521,81841462,82438897,82505759,82741837,82912010,83006221,83159847,83690518,83802022,83895277,84261988,84495757,84733418,84813968,84927217,85114424,85190422,85315297,85356235,85632598,85663021,85715437,85833852,85846107,86552103,86769882,86952982,86954737,87007798,87046551,87066157,87262177,87265442,87325154,87336358,87450724,87773542,87776077,87801195,88025521,88062817,88636621,88644838,88716721,88825837,88916557,88975597,89019121,89163342,89479021,89496327,89560417,89566102,89670577,89783437,89831857,89883983,89923297,89944102,90039217,90113377,90120397,90211117,90245677,90282721,90329521,90386221,90407137,90430897,90444721,90447457,90451021,90459121,90536518,90590278,90751462,90912502,91101944,91410724,91428354,91715542,91728050,91822342,92275898,92598715,92729703,92939878,93297239,93654608,93733798,93944902,94055599,94221687,94891702,94996582,95153782,95415714,95667114,95753727,95935503,96033740,96124708,96614038,97084428,97391158,97700998,97774410,98267542,98809995,99190438,99244324,99276447,99494412,99669815,...,17773989461175667000971358341717009454566373202881841007159382445435522455323962360851615015639178896254085517332406821155689296500880606362726230782737846715558006328265349304812636795442873065720132790227769682170209114213658014638726651138621256145312779749272268419488818283896442721729894060882856216405097197221492950308117636323934904315141756964588370562548442698722694848586120041847245043180193311133653246471556895194017695660707283079444259670699452914175071206935525501226836035499682300855204232503506483146745988199351845646513870008050893364967527823703573101880291611342097727742115249508040660167093200686601615688569050883198427022315189868159926284906245179730403128370808617186748034115766560174410586894294798304261701599388238444907051399149482165108194421869234268709596820716296719080573545792074152857249049238952829639131113557780788874459388273217235254890918221127834257778742569768503119839967347710485608587758746758608728002854665486582731963414230987448842344760013598373254382879172754014923825019006808313100625989911228776415993212703369366561080772530351789750308508017203569946338738020910054913221088825838502694435306323962893735427884015181061417242396485529751678268045282641351738664923809382772895579987903021549773094404429229272169497126593889777278649475766775135992503309371492677883072826061736459457603189387523112331671317277229570872585283127688264868536085306341741227219948217363763477109811010290745890267663716692737880077144822775486655464641047357047607397236370496313229313248785630784745380397793284873048080054403794219270066050505641377098177994375636889591059300293137663394209086455180070382269329469624944307130634816805355387872827037023677094699608352827753071892385969789609932093965795770185821433570566595058725759202249865019837524434037843257621519040568537108946118183834819264297225334177256527863464110707291947376461310212040027902027424377815493763589037250270352379690076901248611051907574966962486578290569901743987474474819439199926058029491471860461174532756172500194339691612051071164709511686979453071185814132638379115879322448601280348684988659139210804746423527781039721463271466035841039889065165619566508534244993502788190590127520236693338696321014962032629396585688795953889686663535368514386709245165463153427888513793842547464153756269796052307617562991420823586443908559038906802473955584756123561022767941790605234255015121058566382950014072996429936447318139395673474186952298292521764119020729702335068364344478207101255851817528405361245140479442959854416610322627031762748020757239546965882121048989564519553670377889286926921410449064139026277107208167726152045630957678267146786367793761274913745552689972752616588416537419903792960418877092484997045813698641869747282114685365828960061066582569341121838503677461348553911121805728195088998740350988074653211310572156754508422277151432153586795634090092658317162731517564465791333987186267558406910277368595005845219216521746559820550915942120503716255220815999979527999229602}
19023   6461244476463435595305641757370422533081980763300430143628492114802404: {399273,475325,570390,608416,627297,684468,931441,1083057,1330630,1596756,1615085,1900900,1938102,2281080,2299121,2334417,2433152,2566215,2675193,2737296,3079458,3458182,3469497,4149393,4915561,4940260,5592905,5710873,5732457,5845353,5852308,5928312,6071073,6183897,6669351,6711486,6726185,7022230,7648537,8071422,8158390,8360440,8426676,8547657,9126013,9405495,9553085,9790068,10032528,10117385,10229577,10890502,11053097,11175097,11286594,11463702,12140862,12575193,12798033,12846001,12943678,13132113,13636273,13965735,14057405,14310166,14799273,14896784,15148241,15242937,15444022,15557860,15575433,16587646,16625875,16758882,16860905,16868886,17234673,17772286,17878337,18351430,18669432,19003841,19480390,19548537,19951050,19997542,20097897,20233086,20726041,20908246,21003111,21010121,21281120,21413913,22021716,23096393,23376468,23491457,23751250,23849293,23941260,24144513,24217204,25217405,25388980,25537344,25689286,25824761,25992753,26643417,26742982,27269662,27725937,27942153,28135156,28501500,28621421,28729512,29335873,29608630,29641085,29683156,30049942,30115561,30260886,30401600,30466776,30979006,31173873,31495857,31924833,32320701,32394185,32460513,32781633,32947544,33530073,34170657,34201800,34275123,34377281,35342817,35530356,35569302,35850617,35980953,36112553,36439198,36481920,36698980,37020217,37065987,37327085,37414756,37996017,38204260,38477025,38710817,38873022,38914048,38947497,38956660,39312056,39475257,40054985,40146868,40193080,40213113,40360342,41042160,41160057,41908390,42105057,42813697,43022230,43048113,43571193,43778304,43778566,43902377,43945901,44038776,44063761,44126175,44198097,44226063,44400905,44792502,44824137,45217215,45241017,45518777,45761577,45845112,46172430,46317937,46335796,46747992,46900201,47067920,47693542,47734233,48065982,48231696,48251913,49250592,49354217,49443961,49543623,49624537,50290068,50512702,50853748,51084013,51413885,51575751,51626676,51876886,52456841,52576737,52591491,52650075,52884033,52951410,53137853,53281086,53480308,53483921,53559766,54240857,54260658,54463513,54488353,54811352,55049921,55406916,55436116,55460537,55544062,55639977,55741713,56046777,56160080,56325073,56481504,56554737,56767085,56852297,57163497,57264873,57791055,57897521,58129396,58681617,58984593,59076244,59134697,59430185,59589897,59670526,59705086,59796436,59992953,60130273,60331337,60596817,61168952,61643792,61662771,61696662,62084285,62649598,62948230,63180090,63203577,63340102,63541692,63802833,63963766,63976121,64313297,64536436,64679881,64799673,65595417,65694777,65992713,67083297,67392096,67487686,67702873,68120502,68176564,68192566,68269713,68664417,68751646,68798875,68815071,69349266,69452673,69467885,70634230,71110942,71116937,71316222,72101697,73059766,73970686,74086804,74212222,74359853,74475121,74501142,75121593,75219785,75341137,75537876,75816108,75897177,76284393,76318516,76400440,76477857,77925777,78414424,79348660,79368297,79714201,79943793,80103046,80326977,80375737,80410985,80464390,80712148,80901033,81187737,81378753,81914381,81947782,82237137,82558650,83281438,83361462,83663457,83799953,84023405,84516657,84664957,84761076,84895233,85052285,85120815,85196393,85292980,85367913,85423480,85618342,85695137,85900390,85950495,86659366,86876457,87420077,87547876,87618185,88003833,88062560,88130285,88216227,88285137,88618441,89314737,90263742,90370813,90485860,90639604,90795536,90857641,91256116,91680528,91953255,92169022,92222662,92399830,92478777,92626078,92722985,93072721,93209453,93496497,93790486,94419177,94507636,94632838,94892201,95218392,95261885,95798697,95995006,96101415,96326548,96410980,96493182,96557268,96718390,97046895,98013833,98083472,98177073,98296685,98372824,99070380,99238582,99305405,99368902,...,26660984191763500501457037512575514181849559804322761510739073668153283682985943541277422523458768344381128275998610231733533944751320909544089346174106770073337009492398023957218955193164309598580199185341654523255313671320487021958089976707931884217969169623908402629233227425844664082594841091324284324607645795832239425462176454485902356472712635446882555843822664048084042272879180062770867564770289966700479869707335342791026543491060924619166389506049179371262606810403288251840254053249523451282806348755259724720118982299027768469770805012076340047451291735555359652820437417013146591613172874262060990250639801029902423532853576324797640533472784802239889427359367769595604692556212925780122051173649840261615880341442197456392552399082357667360577098724223247662291632803851403064395231074445078620860318688111229285873573858429244458696670336671183311689082409825852882336377331691751386668113854652754679759951021565728412881638120137913092004281998229874097945121346481173263517140020397559881574318759131022385737528510212469650938984866843164623989819055054049841621158795527684625462762025805354919508107031365082369831633238757754041652959485944340603141826022771592125863594728294627517402067923962027607997385714074159343369981854532324659641606643843908254245689890834665917974213650162703988754964057239016824609239092604689186404784081284668497506975915844356308877924691532397302804127959512611840829922326045645215664716515436118835401495575039106820115717234163229983196961571035571411095854555744469843969873178446177118070596689927309572120081605691328905099075758462065647266991563455334386588950439706495091313629682770105573403994204437416460695952225208033081809240555535515642049412529241629607838578954684414898140948693655278732150355849892588088638803374797529756286651056764886432278560852805663419177275752228896445838001265884791795196166060937921064691965318060041853041136566723240645383555875405528569535115351872916577861362450443729867435854852615981211712229158799889087044237207790691761799134258750291509537418076606747064267530469179606778721198957568673818983672901920523027482988708816207119635291671559582194907199053761559833597748429349762801367490254182285885191280355040008044481522443048944094878533193930834529995303052771580063867748194730141832770690763821196230634404694078461426344487131235379665862838558360203710933377134185341534151912685907851382522681587849574425021109494644904670977209093510211280428447438782646178531094553502602546516717310651883777726292608041867710719164439781624915483940547644122031135859320448823181573484346779330505566833930390382115673596208539415660812251589228068446436517400720179551690641912370618329034959128924882624806129855689440628315638727495568720547962804620923172028048743440091599873854011682757755516192022830866682708592292633498110526482111979816965858235131762633415727148230380193451135138987475744097276346698687000980779401337610365416052892508767828824782619839730826373913180755574382831223999969291998844403}
19024   6486969924749658011171525044216525515693121215338938695706701715195888: {209143,437023,494234,532364,760520,836396,855585,912624,1026702,1444076,1632194,1995945,2024119,2129008,2136943,2376125,2395134,2584136,2851350,2907153,3041440,3112556,3421620,3566924,3649728,3897314,4105944,4123034,4266919,4619187,4625996,4712023,5187273,5266783,5488183,5532524,5819743,6148034,6175325,6590863,7315385,7410390,7643276,7793804,7904416,8013583,8094764,8245196,8607194,8778462,8892468,8948648,9316063,9640063,10067229,10393543,10450550,10533345,10761896,11235568,11396876,11996263,12107133,12237585,12373442,12526903,12540660,12640014,13034686,13053424,13376704,13639436,14108023,14685102,15048792,15284936,15983983,16187816,16315874,16335753,16766924,16929891,17064044,17118919,17195553,17509484,17631919,17734303,18211293,18485954,18620980,19415517,19447325,19732364,19766863,19996442,20323916,20767244,21071042,21172519,21465249,21671119,22345176,22491848,22662919,22979564,23166033,23336790,23635394,24137119,24881469,24892576,25110919,25138323,25303329,25498423,25967834,26064716,26601400,26658429,26797196,26811674,26977448,27132463,27527145,27989119,28004148,28073114,28462519,28551884,28829101,29220585,29362288,29403919,29538242,29926575,29955554,29965303,29996313,30271505,30349629,30996314,31168624,31362369,31736225,31921680,32192684,32550823,32642119,33006583,33032574,34002919,34049792,34093063,34398049,34657004,35064702,35168945,35258383,35347519,35524556,35626875,35911890,36146503,36323263,36325806,36350234,36967916,37103945,37165274,37202743,37256204,37552519,37775042,38002000,38083470,38180834,38306016,38533929,38940103,39192794,39198223,39797983,40114473,40139119,40347848,40622368,40904493,40986919,41184430,41565164,41743783,41807042,41911183,41994476,42202734,42566444,42577903,42752250,43094268,43280684,43569343,43708844,43801442,44412945,44524734,44706764,45074913,45391329,45440623,45560876,45602400,45700164,45873725,45922519,46468509,46719919,46768445,47115919,47123756,47373808,47425736,47510119,47588743,47755325,47959933,47974604,48371023,48642560,48695825,49140070,49309154,49421316,49837519,50086754,50183585,50241350,50661356,50901463,51055514,51278023,51302700,51353119,51635042,51830696,51929996,52020674,52633676,52818557,53295534,53353953,53522833,53557442,53617484,53938318,54657919,54658797,54722880,54880076,55016119,55048470,55084994,55301383,55797823,56122134,56140076,56414042,57306390,57397484,57404143,57736034,57816919,57919745,58094924,58309533,58371072,58431223,58434990,58566943,58718368,58834900,58930796,58968084,59174119,59241223,59508919,59612354,59723336,59765516,60173119,60220302,60289620,60321356,60334241,60540513,60895423,60941569,61015436,61126816,61474274,61479919,61544503,61563240,61802119,62330656,62377543,62694703,62821063,62862585,62953442,63010063,63135703,63567185,63645644,64087976,64253503,64308928,64314919,64335884,64533345,64985743,65167183,65667456,65667849,66058164,66576257,66712519,66850385,67053424,67188753,67351663,67524463,67877594,68418242,68435119,68514190,68612621,68767668,68835568,68939263,68957594,69258645,69295145,69503694,69547519,69602383,69821119,69875623,70102316,70121988,70200100,70512044,70601880,71041448,71424919,71540313,72098973,72343394,72347544,72407143,72509023,72661745,72762463,73014103,73401794,73845305,73875888,74148463,74186636,74322284,74390023,74729036,74745545,74962423,75308672,75406316,75435102,75617119,75769053,75893383,76030543,76217996,76280622,76353164,76372442,76461190,76572703,76719194,76751119,77054740,77148343,77409919,77440014,77453263,77815329,78010183,78052519,78242156,78646124,78843223,78924943,78959042,79046983,79427115,79446094,79453196,79472474,79528663,79921629,79990604,80220462,80231743,80339649,80498863,80670545,80795756,81390987,81532063,81602873,81710623,82217028,82262216,82576423,82694114,82910143,83110374,83154174,83268919,83316093,83460943,83712943,83744119,84082303,84233143,84240120,84271436,84382183,84722256,84761263,84789919,85070444,85100383,85183543,85220705,85347919,85616119,85823038,86076221,86399564,86593303,86733919,87018434,87096223,87194094,87205663,87460556,87593036,87675074,87725863,87838874,87902119,87990284,87997519,88447519,88614366,88679863,88867783,88987303,89040289,89292223,89444396,89468954,89505789,89527519,89557629,89640919,89694654,89787583,89807383,89856128,89893489,89902063,90014383,90054343,90142903,90176743,90337519,90363223,90393463,90413119,90424783,90472519,90476623,90477703,90577102,90601442,90827336,91026284,91552556,91726874,91753428,92465688,92500961,92544993,92603564,92608505,93214349,93974397,94422345,94770135,94903514,95010153,95088296,95312538,95398145,95500550,95945649,96135596,96804654,97403354,98018030,98643677,98947034,99185825,99254042,99334856,...,35547978922351334001942716683434018909132746405763682014318764890871044910647924721703230031278357792508171034664813642311378593001761212725452461565475693431116012656530698609625273590885746131440265580455539364340418228427316029277453302277242512290625559498544536838977636567792885443459788121765712432810194394442985900616235272647869808630283513929176741125096885397445389697172240083694490086360386622267306492943113790388035391321414566158888519341398905828350142413871051002453672070999364601710408465007012966293491976398703691293027740016101786729935055647407146203760583222684195455484230499016081320334186401373203231377138101766396854044630379736319852569812490359460806256741617234373496068231533120348821173788589596608523403198776476889814102798298964330216388843738468537419193641432593438161147091584148305714498098477905659278262227115561577748918776546434470509781836442255668515557485139537006239679934695420971217175517493517217456005709330973165463926828461974897684689520027196746508765758345508029847650038013616626201251979822457552831986425406738733122161545060703579500617016034407139892677476041820109826442177651677005388870612647925787470855768030362122834484792971059503356536090565282703477329847618765545791159975806043099546188808858458544338994253187779554557298951533550271985006618742985355766145652123472918915206378775046224663342634554459141745170566255376529737072170612683482454439896434727526954219622020581491780535327433385475760154289645550973310929282094714095214794472740992626458626497571261569490760795586569746096160108807588438540132101011282754196355988751273779182118600586275326788418172910360140764538658939249888614261269633610710775745654074047354189399216705655506143784771939579219864187931591540371642867141133190117451518404499730039675048868075686515243038081137074217892236367669638528594450668354513055726928221414583894752922620424080055804054848755630987527178074500540704759380153802497222103815149933924973156581139803487974948949638878399852116058982943720922349065512345000388679383224102142329419023373958906142371628265276758231758644897202560697369977318278421609492847055562079442926542932071682079778130331239133017068489987005576381180255040473386677392642029924065258793171377591907779373327070737028773418490330926306855777027587685094928307512539592104615235125982841647172887817118077813604947911169512247122045535883581210468510030242117132765900028145992859872894636278791346948373904596585043528238041459404670136728688956414202511703635056810722490280958885919708833220645254063525496041514479093931764242097979129039107340755778573853842820898128278052554214416335452304091261915356534293572735587522549827491105379945505233176833074839807585920837754184969994091627397283739494564229370731657920122133165138682243677007354922697107822243611456390177997480701976149306422621144313509016844554302864307173591268180185316634325463035128931582667974372535116813820554737190011690438433043493119641101831884241007432510441631999959055998459204}
19025   6512797061804547089838310849447150419797015887044600389972141746091120: {665455,741351,798546,950650,1045495,1140780,1216832,1254594,1368936,1540053,1805095,1862882,2166114,2261119,2448291,2661260,2717143,3193512,3230170,3592701,3801800,3876204,3890695,4277025,4458655,4562160,4598242,4668834,4866304,5132430,5350386,5474592,5782495,5845971,6158916,6184551,6915655,6916364,6938994,7830067,8298786,8556823,9222051,9356647,9416659,9554095,9742255,9831122,9880520,10039891,10118455,10306495,11115585,11185810,11421746,11464914,11690706,11704616,11856624,12142146,12367794,12654991,12910791,13062751,13167693,13338702,13374319,13422972,13452370,13963939,14044460,14164339,14246095,15297074,15675825,16142844,16316780,16720880,16853352,16930387,17049295,17095314,18252026,18560163,18750451,18810990,18960021,19106170,19552029,19580136,19648039,19680367,20065056,20184439,20234770,20343007,20459154,20958655,21012343,21239587,21330055,21426163,21781004,21886855,22027653,22106194,22350194,22573188,22927404,23276225,23605267,24281724,24473811,24665455,24830143,25150386,25404895,25596066,25692002,25887356,25959055,26264226,27272546,27605779,27728931,27762631,27931470,28114810,28620332,28624447,28724455,28742599,29598546,29793568,29994663,30296482,30485874,30888044,31115720,31150866,31184239,31606563,31988647,32580895,33175292,33251750,33496495,33517764,33721810,33737772,34469346,35005185,35019847,35304367,35453091,35544572,35689855,35756674,36116371,36702860,37338864,38007682,38421667,38714911,38951751,38960780,39097074,39902100,39995084,40195794,40217511,40240855,40466172,41452082,41497519,41816492,42006222,42020242,42109671,42368911,42562240,42827826,43321255,43338847,43641763,44043432,44307363,44405695,44587447,44771731,44933331,45351859,45523591,46192786,46209895,46494471,46570255,46752936,46911139,46982914,47502500,47698586,47769847,47882520,48289026,48434408,48658003,49116007,49548861,49694959,49767223,50434810,50777960,51074688,51378572,51649522,51956455,51964999,51985506,52257919,52462387,52493095,52597053,53026039,53143471,53162887,53208055,53286834,53485964,53867835,54100855,54235039,54488709,54525351,54539324,54636055,55055743,55451874,55747911,55872883,55883455,55884306,56076979,56270312,56600623,56662563,56951095,57003000,57125205,57242842,57271251,57459024,57735283,58309603,58327711,58671746,58789191,58904695,59140951,59217260,59282170,59366312,59550739,59776147,59968255,60099884,60231122,60521772,60803200,60933552,61139263,61776645,61958012,62161267,62234407,62347746,62710563,62991714,63304101,63326695,63849666,64102831,64128375,64387543,64641402,64788370,64912495,64921026,65544271,65563266,65702163,65792095,65895088,66787101,67021855,67060146,67424839,67450531,68341314,68403600,68424343,68550246,68600095,68754562,69494527,70171987,70175095,70627411,70685634,71060712,71138604,71300671,71701234,71746855,71961906,71979439,72225106,72460663,72618655,72878396,72963840,73120231,73397960,73543625,73663495,73710105,73963731,74040434,74131974,74654170,74706895,74707747,74829512,74926807,75130131,75362025,75401695,75608143,75992034,76269295,76408520,76583271,76954050,77421634,77452563,77746044,77828096,77894994,77913320,78031011,78624112,78950514,79473919,79557055,79943301,80036119,80109970,80293736,80336163,80386160,80419855,80426226,80720684,80907477,81300439,82084320,82320114,82572705,82627491,83108071,83202259,83816780,84183201,84210114,84621063,85627394,85773967,85959585,86044460,86061331,86096226,86104183,86604051,86917999,87142386,87556608,87557132,87627895,87652485,87750125,87804754,87891802,88077552,88102003,88127522,88140055,88204279,88252350,88396194,88452126,88801810,89418531,89585004,89648274,90330453,90434430,90482034,91037554,91523154,91551367,91684471,91690224,92211411,92344860,92635874,92671592,92733295,92902855,93411295,93495984,93658771,93800402,94082263,94135840,94257895,94430163,95272495,95387084,95441455,95468466,96131964,96318425,96463392,96503826,96665887,97255039,97600519,97802695,98307655,98501184,98708434,98877391,98887922,99087246,99249074,99316495,99988255,...,53321968383527001002914075025151028363699119608645523021478147336306567365971887082554845046917536688762256551997220463467067889502641819088178692348213540146674018984796047914437910386328619197160398370683309046510627342640974043916179953415863768435938339247816805258466454851689328165189682182648568649215291591664478850924352908971804712945425270893765111687645328096168084545758360125541735129540579933400959739414670685582053086982121849238332779012098358742525213620806576503680508106499046902565612697510519449440237964598055536939541610024152680094902583471110719305640874834026293183226345748524121980501279602059804847065707152649595281066945569604479778854718735539191209385112425851560244102347299680523231760682884394912785104798164715334721154197448446495324583265607702806128790462148890157241720637376222458571747147716858488917393340673342366623378164819651705764672754663383502773336227709305509359519902043131456825763276240275826184008563996459748195890242692962346527034280040795119763148637518262044771475057020424939301877969733686329247979638110108099683242317591055369250925524051610709839016214062730164739663266477515508083305918971888681206283652045543184251727189456589255034804135847924055215994771428148318686739963709064649319283213287687816508491379781669331835948427300325407977509928114478033649218478185209378372809568162569336995013951831688712617755849383064794605608255919025223681659844652091290431329433030872237670802991150078213640231434468326459966393923142071142822191709111488939687939746356892354236141193379854619144240163211382657810198151516924131294533983126910668773177900879412990182627259365540211146807988408874832921391904450416066163618481111071031284098825058483259215677157909368829796281897387310557464300711699785176177277606749595059512573302113529772864557121705611326838354551504457792891676002531769583590392332121875842129383930636120083706082273133446481290767111750811057139070230703745833155722724900887459734871709705231962423424458317599778174088474415581383523598268517500583019074836153213494128535060938359213557442397915137347637967345803841046054965977417632414239270583343119164389814398107523119667195496858699525602734980508364571770382560710080016088963044886097888189757066387861669059990606105543160127735496389460283665541381527642392461268809388156922852688974262470759331725677116720407421866754268370683068303825371815702765045363175699148850042218989289809341954418187020422560856894877565292357062189107005205093033434621303767555452585216083735421438328879563249830967881095288244062271718640897646363146968693558661011133667860780764231347192417078831321624503178456136892873034801440359103381283824741236658069918257849765249612259711378881256631277454991137441095925609241846344056097486880183199747708023365515511032384045661733365417184585266996221052964223959633931716470263525266831454296460760386902270277974951488194552693397374001961558802675220730832105785017535657649565239679461652747826361511148765662447999938583997688806}
19026   6538726286692654799937793243298511958566048401520567635072177343843628: {247169,323153,418286,874046,892013,988468,1005569,1064728,1197819,1270253,1425975,1496813,1521040,1672792,1711170,1825248,1881891,2024333,2053404,2061953,2137169,2400173,2794323,2888152,2962433,3149453,3249171,3264388,3326575,3991890,4048238,4193069,4258016,4273886,4304513,4378769,4490093,4752250,4790268,4845255,5045633,5168272,5193473,5304269,5702700,5746733,5814306,5857169,6082880,6225112,6481613,6843240,6897363,7003251,7133848,7249793,7299456,7614353,7698645,7794628,8025579,8050769,8159693,8211888,8232269,8246068,8533838,8645455,9028493,9238374,9251992,9317069,9424046,9425153,9677069,10241539,10374546,10408491,10502033,10533566,10823693,10930769,10976366,11037773,11065048,11287169,11639486,11891213,12103853,12296068,12350650,12351569,12448179,13162733,13181726,13514093,13829633,14039633,14109569,14528513,14630770,14737553,14746683,14820780,15050573,15286552,15570833,15587608,15808832,15916673,16020269,16027166,16189528,16433933,16490392,16778715,16812113,16949393,17132619,17197371,17214388,17463053,17536059,17555575,17556924,17633873,17736269,17784936,17897296,18213219,18247169,18551691,18632126,18688493,18857873,19196033,19280126,19499693,19668113,19769069,20004353,20008053,20105069,20134458,20178555,20395975,20774669,20787086,20901100,21066690,21174893,21523792,22004993,22471136,22665473,22698413,22793752,22862993,22945611,22994513,23355533,23992526,24139853,24214266,24475170,24660173,24746884,25053806,25081320,25113773,25146113,25280028,25436813,25533569,25642971,26069372,26080493,26106848,26753408,26976269,27071873,27226255,27231053,27278872,27378039,27612269,27992333,28023953,28216046,28216485,28465793,28659255,28937453,29344769,29370204,29438573,29594753,29968769,30097584,30352155,30569872,30688731,30806093,31361069,31967966,32035853,32359195,32371793,32375632,32631748,32671506,33040769,33159291,33283073,33525291,33533848,33645569,33736013,33859782,33946769,34006913,34036973,34128088,34237838,34391106,34636493,34994669,35018968,35263838,35292269,35381393,35468606,35529773,35775415,36091793,36180269,36422586,36971908,37061069,37241960,37586093,37725579,37992653,38394099,38426513,38538003,38610055,38831034,38894650,38944769,39396339,39464728,39533726,39574673,39802769,39992884,40229069,40647832,40738253,40908819,40935569,41469115,41534488,41860493,41897205,41999873,42142084,42172215,42345038,42380107,42416813,42610769,42831953,42930498,43342238,43492433,43574669,43766273,43902893,43984769,44175533,44397819,44430715,44690352,44799569,44983696,45123473,45325838,45392513,45444723,45473069,45728811,45874769,45878575,45928193,45959128,46008269,46332066,46593293,46673580,46726299,47270788,47279693,47463569,47516033,47594669,47673233,48274238,48325133,48700975,48946253,49229393,49236523,49613933,49762938,49785152,49843793,49877625,49993855,50221838,50225453,50276646,50582715,50606658,50681069,50756753,50857553,50996846,51008513,51309569,51384653,51704019,51883373,51935668,51945523,52129432,52270615,52428269,52477613,52625453,53202800,53213933,53316858,53594392,53623348,53635011,53822033,53943053,53954896,54264926,54328973,54688913,54736769,55047053,55054290,55332269,55687169,55978238,56008296,56040269,56146228,56438273,56671313,56925038,56926733,57011523,57019373,57103768,57158093,57480653,57658202,57778769,58234769,58441170,58461569,58645611,58724576,58732673,58807838,58867793,59076484,59204333,59378125,59472269,59853150,59911108,59930606,59992626,60247169,60293691,60543010,60699258,60729233,60968813,61509713,61617293,61810433,61831853,61992628,62178123,62337248,62421931,62576513,62724269,62724738,62892653,63009333,63030363,63039569,63206993,63472450,63602573,63843360,63912833,64077569,64223215,64241739,64323713,64385368,64994669,65101646,65196269,65284238,65296769,65437133,65475823,65597069,65836013,66013166,66065148,66389069,66721793,66741293,66857455,66916433,67129613,67361069,67432387,67553069,67648769,68005838,68099584,68124269,68174155,68186126,68796098,69004673,69289179,69314008,69392333,69612269,69849233,70066769,70129404,70257019,70337890,70474371,70516766,70659053,70695038,71049112,71137169,71167723,71189933,71253750,71304103,71435213,71487569,71547879,71609453,71823780,71869313,72127373,72212993,72293006,72433539,72646526,72651612,72700468,72722513,72773069,73024769,73141613,73522769,73572173,73637933,73687169,73935832,73981073,74021575,74207890,74330548,74405486,74417069,74512408,74608973,74847233,74894669,74942033,75105038,75124855,75550084,75643853,75652215,75874193,76004000,76087553,76166940,76361668,76612032,76762733,76998893,77028269,77067858,77072273,77203853,77291213,77447515,77474283,77609069,77637773,77880206,77978259,78385588,78396446,78456269,78484013,78525569,78622253,78663569,78681031,79072769,79341569,79501313,79541069,79595966,79633553,79930251,79934669,79973633,80090093,80228946,80278238,80321069,80359313,80410193,80599853,80637569,80675213,80695696,80737793,81087643,81109073,81244736,81255569,81592913,81700013,81735569,81808986,81830033,81973838,82317569,82368860,82465613,82601069,82790993,82934669,83130328,83177811,83261069,83293313,83474669,83487566,83506433,83580269,83614084,83705933,83757953,83822366,83826459,83988952,84065873,84096269,84277133,84376493,84405468,84465233,84689069,84813713,84955853,85086893,85114769,85132888,85155806,85207169,85234733,85316993,85344269,85362413,85504500,85524269,85630733,85639553,85814273,85864263,85900433,86002769,86170769,86188536,86351873,86440973,86473133,86537069,86560913,86561368,86592593,86679053,86772269,86795393,86849069,87000269,87111569,87138686,87307373,87399569,87417688,87602884,87661313,87741569,87787853,87820673,87917933,88000769,88007619,88324493,88365569,88412033,88463693,88469393,88548353,88565069,88685453,88717613,88825890,88868993,88923255,88959569,88994059,88994093,89008769,89018513,89049468,89066753,89174669,89188433,89229293,89300333,89322113,89403053,89413528,89497169,89524973,89548493,89594669,89613569,89658113,89661773,89712173,89784833,89818193,89824769,89857169,89894993,89919569,89958413,89964269,89993069,90056273,90074669,90079853,90105293,90112769,90149069,90149826,90160769,90291053,90329069,90346683,90390893,90404753,90422093,90431633,90441473,90444269,90448769,90466193,90470273,90478673,90483713,90485069,90487169,90491693,90496013,90782658,90881246,91097995,91121752,91203211,91204800,91400328,91747450,91845038,92937018,93439838,93521619,93536890,93590539,94231838,94247512,94487571,94747616,94851472,95020238,95177486,95510650,95774499,95919866,95949208,96439759,96742046,96962103,97013203,97182555,97285120,97381539,97391650,98280140,98344899,98618308,98842632,99675038,...,79982952575290501504371112537726542545548679412968284532217221004459851048957830623832267570376305033143384827995830695200601834253962728632268038522320310220011028477194071871656865579492928795740597556024963569765941013961461065874269930123795652653907508871725207887699682277533992247784523273972852973822937387496718276386529363457707069418137906340647667531467992144252126818637540188312602694310869900101439609122006028373079630473182773857499168518147538113787820431209864755520762159748570353848419046265779174160356946897083305409312415036229020142353875206666078958461312251039439774839518622786182970751919403089707270598560728974392921600418354406719668282078103308786814077668638777340366153520949520784847641024326592369177657197247073002081731296172669742986874898411554209193185693223335235862580956064333687857620721575287733376090011010013549935067247229477558647009131995075254160004341563958264039279853064697185238644914360413739276012845994689622293835364039443519790551420061192679644722956277393067157212585530637408952816954600529493871969457165162149524863476386583053876388286077416064758524321094095247109494899716273262124958878457833021809425478068314776377590784184883882552206203771886082823992157142222478030109945563596973978924819931531724762737069672503997753922640950488111966264892171717050473827717277814067559214352243854005492520927747533068926633774074597191908412383878537835522489766978136935646994149546308356506204486725117320460347151702489689949590884713106714233287563667233409531909619535338531354211790069781928716360244817073986715297227275386196941800974690366003159766851319119485273940889048310316720211982613312249382087856675624099245427721666606546926148237587724888823515736864053244694422846080965836196451067549677764265916410124392589268859953170294659296835682558416990257531827256686689337514003797654375385588498182813763194075895954180125559123409700169721936150667626216585708605346055618749733584087351331189602307564557847943635136687476399667261132711623372075285397402776250874528612254229820241192802591407538820336163596872706021456951018705761569082448966126448621358905875014678746584721597161284679500793245288049288404102470762546857655573841065120024133444567329146832284635599581792503589985909158314740191603244584190425498312072291463588691903214082235384279033461393706138997588515675080611132800131402556024602455738057723554147568044763548723275063328483934714012931627280530633841285342316347938535593283660507807639550151931955651333178877824125603132157493319344874746451821642932366093407577961346469544720453040337991516700501791171146347020788625618246982436754767684205339309552202160538655071925737111854987104877386774647874418389567068321884946916182486706161643888413862769516084146230320274799621562035048273266548576068492600048125776877900494331579446335939450897574705395287900247181444691140580353405416962427232291829040096061002942338204012831096248158677526303486474347859519192479121739542266723148493671999907875996533209}
19027   6564758000033318473431261099463782755082592865585413467450334645116235: {627429,931637,1235585,1311069,1330910,1463693,1482702,1597092,1901300,2090990,2281560,2433664,2509188,2527133,2566755,2737872,3080106,3211169,3610190,3725764,4080485,4332228,4522238,4896582,5322520,5434286,5446973,5987835,6072357,6242117,6387024,6410829,6460340,7128375,7185402,7603600,7724453,7752408,7781390,8095493,8554050,8721459,8917310,8974229,9124320,9196484,9337668,9681917,9732608,9743285,10001933,10112609,10264860,10307585,10457429,10700772,10949184,11564990,11691942,11934017,12317832,12369102,12800757,13375733,13527749,13639157,13831310,13832728,13857561,13877988,14136069,14165837,14429093,15370085,15561819,15660134,15800349,16464549,16502837,16597572,17113646,17459229,18444102,18525975,18713294,18833318,19108190,19484510,19662244,19761040,19772589,19944533,20079782,20186573,20236910,20612990,21428429,21517985,21745973,21946155,21959573,22231170,22371620,22843492,22929828,23381412,23409232,23713248,23854337,23869013,24040749,24284292,24735588,24832769,25309982,25321829,25821582,26125502,26126375,26335386,26677404,26748638,26845944,26904740,27927878,27948189,28088920,28328678,28492190,28920189,29342117,29862077,30144677,30201687,30594148,30641597,30933605,31180629,31187537,31351650,31600035,31992029,32285688,32569493,32586715,32633560,33441760,33706704,33860774,34098590,34190628,34531637,34852973,35566853,35988789,36321399,36342677,36504052,36712755,37120326,37500902,37580709,37621980,37920042,38212340,39104058,39139829,39160272,39296078,39360734,40130112,40214237,40368878,40469540,40686014,40789685,40918308,41917310,42024686,42324069,42479174,42660110,42852326,43343429,43562008,43773710,44055306,44212388,44700388,45146376,45613253,45854808,46099229,46214885,46327733,46552450,46895093,47210534,47324453,47951949,48411053,48563448,48663149,48947622,49007259,49330910,49660286,49700213,49833029,49965797,49991105,50300772,50789673,50809790,51094817,51192132,51356757,51384004,51576629,51586659,51774712,51918110,51970493,52528452,52677605,52895757,53202909,53389829,54240773,54499877,54545092,54633879,55211558,55276853,55440437,55457862,55525262,55862940,56229620,56337197,56606609,56829293,57240664,57248894,57448910,57485198,57741389,58246551,58341975,58815809,59088485,59197092,59300589,59361629,59557037,59587136,59989326,60592964,60649757,60971748,61145729,61776088,62167973,62231440,62301732,62368478,62667137,63213126,63517557,63977294,64395747,64693853,64919585,65013357,65161790,65198357,66031589,66350584,66503500,66992990,67029185,67035528,67443620,67475544,67988757,68911349,68938692,69243053,69498099,70010370,70039694,70182785,70608734,70906182,71089144,71221517,71379710,71513348,72232742,72411357,72739037,73405720,73490333,73845605,74287253,74491277,74644407,74677728,74888885,75332757,75357173,75414969,75741197,75909987,76015364,76020629,76094369,76490477,76495269,76843334,77240213,77429822,77490785,77697653,77903502,77921560,78194148,78236837,79731533,79804200,79975287,79990168,80094173,80391588,80435022,80481710,80932344,81397389,82466573,82581435,82904164,82995038,83632984,83955557,83967357,84012444,84040484,84219342,84737822,85124480,85387557,85635329,85655652,86487303,86642510,86677694,87283526,87661755,88086864,88211757,88510829,88614726,88657373,88811390,89174894,89452133,89543462,89779725,89866662,89895909,89988939,90703718,90814515,90875585,90877493,91047182,91048887,91202429,91409573,91689413,92108933,92385572,92419790,92913185,92988942,93140510,93505872,93822278,93830597,93965828,94087107,94437605,94490429,95005000,95208675,95397172,95452085,95539694,95765040,96040133,96082337,96578052,96868816,97316006,97652469,97926357,97981985,98198813,98232014,98245133,98581253,99019749,99097722,99389918,99534446,...,106643936767054002005828150050302056727398239217291046042956294672613134731943774165109690093835073377524513103994440926934135779005283638176357384696427080293348037969592095828875820772657238394320796741366618093021254685281948087832359906831727536871876678495633610516932909703378656330379364365297137298430583183328957701848705817943609425890850541787530223375290656192336169091516720251083470259081159866801919478829341371164106173964243698476665558024196717485050427241613153007361016212998093805131225395021038898880475929196111073879083220048305360189805166942221438611281749668052586366452691497048243961002559204119609694131414305299190562133891139208959557709437471078382418770224851703120488204694599361046463521365768789825570209596329430669442308394896892990649166531215405612257580924297780314483441274752444917143494295433716977834786681346684733246756329639303411529345509326767005546672455418611018719039804086262913651526552480551652368017127992919496391780485385924693054068560081590239526297275036524089542950114040849878603755939467372658495959276220216199366484635182110738501851048103221419678032428125460329479326532955031016166611837943777362412567304091086368503454378913178510069608271695848110431989542856296637373479927418129298638566426575375633016982759563338663671896854600650815955019856228956067298436956370418756745619136325138673990027903663377425235511698766129589211216511838050447363319689304182580862658866061744475341605982300156427280462868936652919932787846284142285644383418222977879375879492713784708472282386759709238288480326422765315620396303033848262589067966253821337546355801758825980365254518731080422293615976817749665842783808900832132327236962222142062568197650116966518431354315818737659592563794774621114928601423399570352354555213499190119025146604227059545729114243411222653676709103008915585783352005063539167180784664243751684258767861272240167412164546266892962581534223501622114278140461407491666311445449801774919469743419410463924846848916635199556348176948831162767047196537035001166038149672306426988257070121876718427114884795830274695275934691607682092109931954835264828478541166686238328779628796215046239334390993717399051205469961016729143540765121420160032177926089772195776379514132775723338119981212211086320255470992778920567331082763055284784922537618776313845705377948524941518663451354233440814843733508536741366136607650743631405530090726351398297700084437978579618683908836374040845121713789755130584714124378214010410186066869242607535110905170432167470842876657759126499661935762190576488124543437281795292726293937387117322022267335721561528462694384834157662643249006356912273785746069602880718206762567649482473316139836515699530499224519422757762513262554909982274882191851218483692688112194973760366399495416046731031022064768091323466730834369170533992442105928447919267863432940527050533662908592921520773804540555949902976389105386794748003923117605350441461664211570035071315299130479358923305495652723022297531324895999877167995377612}
19028   6590892604006674647426305096162313545277712383261963189877793589846799: {361171,494338,646306,836572,1748092,1784026,1976936,1996365,2011138,2062171,2129456,2224053,2376625,2395638,2540506,2851950,2993626,3042080,3136485,3345584,3422340,3650496,3763782,4048666,4106808,4123906,4274338,4527667,4620159,4657205,4800346,5083147,5415285,5588646,5776304,5924866,6298867,6298906,6498342,6518971,6528776,6653150,6783357,6848587,7344873,7983780,8075425,8096476,8151429,8386138,8516032,8547772,8609026,8757538,8980186,9029467,9504500,9580536,9690510,10091266,10109107,10336544,10386946,10538947,10608538,10646227,10778103,11074627,11405400,11493466,11495605,11608507,11628612,11672085,11714338,12103637,12140587,12165760,12450224,12831075,12963226,13304827,13375965,13515571,13686480,13794726,14006502,14267696,14499586,14598912,14773987,15086971,15228706,15397290,15589256,15607171,16051158,16101538,16319386,16423776,16435747,16464538,16492136,17067676,17290910,17347485,17464987,17537913,18056986,18476748,18503984,18553653,18634138,18690571,18848092,18850306,18893827,19198171,19354138,20006587,20483078,20746965,20749092,20816982,21004066,21067132,21410227,21647386,21861538,21952732,22007467,22075546,22130096,22574338,22700971,22898467,23278972,23390947,23490201,23782426,24207706,24577805,24592136,24701300,24703138,24896358,25148971,25439707,25633171,25670469,26115571,26325466,26363452,26787907,27028186,27551971,27659266,27666153,27837307,27964525,28027171,28069941,28079266,28219138,28249977,28311427,28554365,28662285,28972171,29057026,29226765,29261540,29475106,29493366,29641560,30101146,30119673,30355365,30573104,30840571,30919485,31141666,31175216,31617664,31833346,31947787,32040538,32054332,32379056,32867866,32980784,33317227,33346755,33557430,33624226,33630925,33860467,33898786,34040971,34265238,34311187,34394742,34428776,34926106,35072118,35111150,35113848,35267746,35472538,35569872,35794592,36426438,36494338,37103382,37264252,37376986,37715746,37964973,38026171,38116757,38199907,38242685,38286667,38392066,38560252,38732373,38999386,39188253,39336226,39493747,39503079,39538138,39579427,40008706,40016106,40122957,40210138,40268916,40357110,40791950,40855987,41549338,41574172,41802200,41891817,42032827,42133380,42349786,42493017,42738285,42947587,43047584,43360507,43525171,43935571,44009986,44942272,45302873,45330946,45396826,45398107,45587504,45630065,45725986,45891222,45989026,46599067,46711066,46995787,47027475,47705347,47765425,47985052,48279706,48428532,48564667,48950340,49320346,49492171,49493768,49645747,50085581,50107612,50162640,50227546,50257171,50292226,50560056,50586925,50791161,50873626,51067138,51147885,51285942,51914827,52138744,52160986,52213696,52656787,53506816,53952538,53974171,54054077,54143746,54452510,54462106,54552187,54557744,54756078,55224538,55265485,55680489,55875485,55977067,55984666,56047906,56251353,56432092,56432970,56678707,56818171,56880063,56931586,57165571,57318510,57511171,57874906,58056761,58656087,58689538,58740408,58875571,58877146,58944117,59041101,59077747,59189506,59746987,59937538,60195168,60553317,60704310,61029021,61139744,61193971,61377462,61612186,61840171,62032627,62203001,62288227,62606107,62722138,62875965,62922187,63037029,63299107,63718761,63935932,63990165,64071706,64230005,64278489,64718390,64743586,64751264,65263496,65343012,65660565,65864971,66043387,66081538,66082959,66280267,66318582,66339307,66566146,66574747,66750571,67050582,67067696,67291138,67472026,67719564,67893538,68013826,68073946,68181365,68256176,68475676,68585707,68782212,69272986,69749947,69828675,69989338,69991397,70037936,70130971,70287025,70527676,70584538,70762786,70815801,70937212,71059546,71094547,71550830,71879707,72183586,72360538,72845172,73152307,73178861,73421433,73771373,73845307,73894267,73943816,73996365,74122138,74483920,74490429,75172186,75365609,75451158,75562507,75741205,75885571,75977227,75985306,76214685,76250467,76565971,76788198,76853026,77076006,77098627,77142547,77220110,77230171,77317507,77662068,77789300,77877165,77889538,78792678,78929456,79003747,79067452,79149346,79526971,79605538,79692821,79724971,79842907,79985768,79999147,80458138,80986627,81134227,81295664,81317107,81476506,81817638,81854947,81871138,81890227,82065547,82135171,82239067,82817337,82938230,83068976,83129375,83186793,83287893,83530747,83720986,83794410,83999746,84107309,84150667,84284168,84304525,84344430,84479347,84538171,84690076,84760214,84833626,85193947,85221538,85601107,85654171,85663906,85837627,85860996,85873341,86093587,86173365,86227797,86366827,86607667,86684476,86701987,86818267,86984866,87149338,87221971,87286987,87372667,87532546,87540571,87803587,87805786,87842971,87969538,88351066,88485571,88685587,88701787,88765867,88795638,88861430,89083387,89223427,89250571,89343307,89380704,89391685,89407387,89542027,89599138,89678971,89732971,89864947,89912501,89949187,89967392,89983989,90123067,90173971,90246946,90366427,90388747,90416971,90441667,90488971,90502507,90651676,90785026,90889446,90946138,91457622,91749538,91757150,91856386,91918256,92016538,92664132,92986673,93186586,93347160,93452598,93552717,93600437,94541576,94559386,94819689,94927138,95019205,95032066,95189338,95346466,95443817,95965941,96548476,96650266,97401950,97742685,97892506,98458786,98473046,99227866,99525876,99570304,99687586,99755250,99987710,...,159965905150581003008742225075453085091097358825936569064434442008919702097915661247664535140752610066286769655991661390401203668507925457264536077044640620440022056954388143743313731158985857591481195112049927139531882027922922131748539860247591305307815017743450415775399364555067984495569046547945705947645874774993436552773058726915414138836275812681295335062935984288504253637275080376625205388621739800202879218244012056746159260946365547714998337036295076227575640862419729511041524319497140707696838092531558348320713893794166610818624830072458040284707750413332157916922624502078879549679037245572365941503838806179414541197121457948785843200836708813439336564156206617573628155337277554680732307041899041569695282048653184738355314394494146004163462592345339485973749796823108418386371386446670471725161912128667375715241443150575466752180022020027099870134494458955117294018263990150508320008683127916528078559706129394370477289828720827478552025691989379244587670728078887039581102840122385359289445912554786134314425171061274817905633909201058987743938914330324299049726952773166107752776572154832129517048642188190494218989799432546524249917756915666043618850956136629552755181568369767765104412407543772165647984314284444956060219891127193947957849639863063449525474139345007995507845281900976223932529784343434100947655434555628135118428704487708010985041855495066137853267548149194383816824767757075671044979533956273871293988299092616713012408973450234640920694303404979379899181769426213428466575127334466819063819239070677062708423580139563857432720489634147973430594454550772393883601949380732006319533702638238970547881778096620633440423965226624498764175713351248198490855443333213093852296475175449777647031473728106489388845692161931672392902135099355528531832820248785178537719906340589318593671365116833980515063654513373378675028007595308750771176996365627526388151791908360251118246819400339443872301335252433171417210692111237499467168174702662379204615129115695887270273374952799334522265423246744150570794805552501749057224508459640482385605182815077640672327193745412042913902037411523138164897932252897242717811750029357493169443194322569359001586490576098576808204941525093715311147682130240048266889134658293664569271199163585007179971818316629480383206489168380850996624144582927177383806428164470768558066922787412277995177031350161222265600262805112049204911476115447108295136089527097446550126656967869428025863254561061267682570684632695877071186567321015615279100303863911302666357755648251206264314986638689749492903643285864732186815155922692939089440906080675983033401003582342292694041577251236493964873509535368410678619104404321077310143851474223709974209754773549295748836779134136643769893832364973412323287776827725539032168292460640549599243124070096546533097152136985200096251553755800988663158892671878901795149410790575800494362889382281160706810833924854464583658080192122005884676408025662192496317355052606972948695719038384958243479084533446296987343999815751993066418}
19029   6617130502359695999245785529868134926059754389092654184059239153113868: {741507,969459,1045715,1254858,1729819,1863274,2185115,2471170,2622138,2661820,2676039,2927386,2965404,3016707,3194184,3553187,3593457,3802600,3810759,4181980,4277925,4490439,4563120,4867328,5018376,5054266,5133510,5475744,5645673,5712679,6072999,6160212,6185859,6411507,6422338,7200519,7220380,7451528,8160970,8382969,8664456,8887299,9044476,9128899,9448359,9747513,9793164,9979725,10120595,10605907,10645040,10684715,10868572,10893946,11178631,11880625,11975670,12144714,12304391,12484234,12579207,12774048,12821658,12913539,12920680,13136307,13338019,13470279,13640599,14256750,14370804,14430619,14535765,14797607,15136899,15207200,15448906,15504816,15562780,15580419,15912807,16190986,17082059,17108100,17240199,17442918,17571507,17834620,17948458,18248640,18392968,18675336,19363834,19444839,19465216,19486570,20003866,20225218,20494679,20529720,20615170,20692089,20914858,21009753,21016787,21334595,21401544,21518119,21749379,21898368,22258247,22542251,22843059,23095935,23129980,23383884,23560115,23856859,23868034,24076737,24152307,24479079,24635664,24696807,24738204,25324507,25601514,25711079,25936365,26333915,26751466,27055498,27085479,27278314,27440915,27662620,27665456,27715122,27755976,27951207,28272138,28275459,28331674,28858186,29031207,29098715,29121539,30125179,30724617,30740170,30876625,30926291,31123638,31225473,31320268,31506099,31600698,31849907,32470187,32471079,32792307,32929098,32954315,33005674,33113319,33195144,33861507,34227292,34856659,34918458,35673639,36304979,36311559,36576925,36888204,37051950,37054707,37093991,37344537,37426588,37666636,38216380,38491219,38723099,38969020,39324488,39488199,39522080,39545178,39889066,40067915,40159564,40373146,40473820,40542279,41225980,41488899,42118899,42328707,42856858,43035970,43307047,43491946,43585539,43892310,43919146,44212659,44240049,44462340,44743240,45151719,45533219,45621401,45686984,45859656,46332631,46510439,46580315,46712499,46762824,46818464,47426496,47708674,47738026,47750019,48060807,48081498,48200315,48568584,48809291,49301799,49471176,49665538,50336145,50436339,50619964,50643658,50848179,51100219,51397857,51592113,51643164,51967715,52251004,52252750,52389159,52608177,52666725,52670772,52901619,53208807,53354808,53497276,53691888,53809480,54106471,54480907,54505639,54639657,54741507,55067387,55282699,55355171,55405499,55478291,55655073,55855756,55896378,55928899,56065479,56177840,56573619,56657356,56984380,57105559,57588099,57840378,58499079,58684234,59004339,59153459,59307207,59367907,59456219,59724154,59981315,60013059,60024159,60289354,60315207,60403374,60535665,61187925,61188296,61283194,61867210,62324007,62361258,62375074,62634515,62703300,63106007,63200070,63524679,63984058,64571376,64700839,65138986,65173430,65210387,65267120,65829191,66014979,66883520,67413408,67721548,67996419,68095239,68197180,68381256,68588979,68836833,68962451,68983539,69063274,69705946,69987547,70066599,70540115,71133706,71267207,71683331,71977578,72360599,72419559,72642798,72685354,73008104,73425510,73724999,73748647,73980519,74240652,75001804,75161418,75243960,75341319,75438339,75840084,76274699,76310439,76424680,76600707,76928913,78208116,78241479,78279658,78320544,78592156,78721468,79167911,79600519,79919915,80260224,80428474,80737756,80928807,80939080,81215619,81263431,81372028,81579370,81678765,81693159,81832699,81836616,82119587,82134117,82723879,82836807,83826779,83834620,83976999,84049372,84071859,84648138,84649455,84958348,85320220,85397379,85594595,85704652,85711739,85977765,86686858,86812359,87124016,87547420,88034307,88110612,88120967,88159595,88315719,88424776,88671515,88784259,89400776,89477987,89906307,90292752,90887419,91056465,91226506,91709616,91824499,92066193,92198458,92418279,92429770,92655466,93104900,93239339,93790186,93840859,94083207,94421068,94648906,95903898,96107559,96822106,97077585,97115379,97126896,97236625,97326298,97681991,97895244,98014518,98255899,98661820,98834315,98872187,99122307,99320572,99400426,99477873,99666058,99849219,99931594,99982210,...,239948857725871504513113337613179627636646038238904853596651663013379553146873491871496802711128915099430154483987492085601805502761888185896804115566960930660033085431582215614970596738478786387221792668074890709297823041884383197622809790371386957961722526615175623663099046832601976743353569821918558921468812162490154829159588090373121208254413719021943002594403976432756380455912620564937808082932609700304318827366018085119238891419548321572497505554442614341363461293629594266562286479245711061545257138797337522481070840691249916227937245108687060427061625619998236875383936753118319324518555868358548912255758209269121811795682186923178764801255063220159004846234309926360442233005916332021098460562848562354542923072979777107532971591741219006245193888518009228960624695234662627579557079670005707587742868193001063572862164725863200128270033030040649805201741688432675941027395985225762480013024691874792117839559194091555715934743081241217828038537984068866881506092118330559371654260183578038934168868832179201471637756591912226858450863801588481615908371495486448574590429159749161629164858232248194275572963282285741328484699148819786374876635373499065428276434204944329132772352554651647656618611315658248471976471426667434090329836690790921936774459794595174288211209017511993261767922851464335898794676515151151421483151833442202677643056731562016477562783242599206779901322223791575725237151635613506567469300934410806940982448638925069518613460175351961381041455107469069848772654139320142699862691001700228595728858606015594062635370209345786149080734451221960145891681826158590825402924071098009479300553957358455821822667144930950160635947839936748146263570026872297736283164999819640778444712763174666470547210592159734083268538242897508589353202649033292797749230373177767806579859510883977890507047675250970772595481770060068012542011392963126156765494548441289582227687862540376677370229100509165808452002878649757125816038166856249200752262053993568806922693673543830905410062429199001783398134870116225856192208328752623585836762689460723578407774222616461008490790618118064370853056117284707247346898379345864076717625044036239754164791483854038502379735864147865212307412287640572966721523195360072400333701987440496853906798745377510769957727474944220574809733752571276494936216874390766075709642246706152837100384181118416992765547025241833398400394207668073807367214173170662442704134290646169825189985451804142038794881841591901523856026949043815606779850981523422918650455795866953999536633472376809396472479958034624239355464928797098280222733884039408634161359121013974550101505373513439041062365876854740947310264303052616017928656606481615965215777211335564961314632160323943623255168701204965654840748547460118484931665241588308548252438690960824398864686105144819799645728205477800144377330633701482994738339007818352692724116185863700741544334073421741060216250887281696875487120288183008827014612038493288744476032578910459423043578557577437365218626800169445481015999723627989599627}
19030   6643472100412251462786348685200681176828090325517245192442981002494038: {323221,551029,722342,988676,1292612,1346089,1572601,1673144,1882287,2137621,2475769,2794911,3327275,3496184,3568052,3598249,3706755,3933207,3953872,3992730,4022276,4124342,4258912,4268281,4379701,4391079,4448106,4753250,4791276,4824661,5081012,5227475,5268469,5703900,5821609,5932021,5987252,6084160,6272970,6520087,6691168,6702889,6844680,7300992,7527564,7581399,7700265,8097332,8213616,8234041,8247812,8548676,9025475,9055334,9102649,9240318,9314410,9427189,9600692,9633507,10166294,10504309,10826041,10830570,11177292,11305595,11360821,11552608,11849732,12106489,12241455,12424981,12597734,12597812,12848629,12996684,13037942,13057552,13165609,13306300,13566714,13585715,13587241,13697174,13902709,14112661,14531701,14689746,15262249,15967560,15989269,16092841,16093847,16150850,16192952,16302858,16340919,16506409,16772276,17021749,17032064,17095544,17218052,17227381,17515076,17535289,17740201,17960372,17963505,18058934,18217071,18726351,18862069,19009000,19161072,19232487,19381020,19453475,19571449,19874389,20182532,20218214,20673088,20773892,21077894,21217076,21279541,21292454,21385125,21556206,21777961,22149254,22293275,22769401,22810800,22986932,22991210,23065429,23173359,23217014,23257224,23344170,23428676,24047509,24207274,24243061,24281174,24286479,24331520,24900448,25216501,25507129,25662150,25926452,26164377,26471209,26609654,26751930,26922687,27031142,27141781,27237289,27372960,27589452,28013004,28093621,28472341,28535392,28912475,28999172,29045751,29197824,29229855,29414101,29547974,29601589,30005799,30173942,30337827,30457412,30794580,30922755,31178512,31214342,31368361,31372287,31737001,32102316,32104489,32203076,32638772,32653561,32744821,32847552,32871494,32929076,32984272,33018169,34014901,34105081,34135352,34408927,34578275,34581820,34694970,34929974,35075826,35360041,35538169,35802051,35982229,36113972,36159349,36953496,37007968,37107306,37128361,37268276,37381142,37653241,37696184,37700612,37787654,38001721,38396342,38402271,38708276,39040249,39150335,39298261,39641269,39897769,39976111,40013174,40068409,40127199,40238761,40583247,40917471,40966156,41001781,41493930,41498184,41572683,41633964,41926441,42008132,42010069,42134264,42408207,42427129,42497511,42784115,42820454,42842389,43287279,43294772,43723076,43905464,44014934,44151092,44240809,44260192,44485429,45134581,45148676,45401942,45457429,45796934,45939541,46019641,46110255,46557944,46685457,46781894,46783235,46816681,46980402,47083295,47133481,47291449,47401047,47527861,47564852,47606521,47685109,47770475,48389161,48415412,48711275,49155610,49184272,49393647,49402600,49406276,49508511,49792716,50199455,50297942,50592275,50879414,50920789,51266342,51340938,51372661,51532475,51896569,52231142,52377687,52491001,52638889,52650932,52726904,53007349,53539759,53575814,53738869,53884309,54056372,54750901,55037461,55103942,55318532,55332306,55577925,55674614,55748821,55929050,56054342,56139882,56158532,56382889,56438276,56499954,56622854,56732629,57108730,57324570,57426709,57495721,57839701,57908281,57944342,58114052,58453530,58523080,58793269,58950212,58986732,59264761,59283120,59317767,59331829,59532601,59833599,60202292,60239346,60263221,60559719,60710730,60919861,60985129,61115449,61146208,61569301,61633849,61681142,61838970,62283332,62350432,62466421,62909689,63035689,63161401,63224149,63235328,63274955,63666692,63882091,63895574,64081076,64095061,64108664,64279849,64285287,64341301,64463989,64553955,64758112,65194069,65237919,65313755,65314741,65735732,65838465,65878719,65961568,66210601,66597311,66634454,66693510,66798841,66871595,67114860,67248452,67261850,67379881,67720934,67797572,68081942,68181241,68530476,68622374,68789484,68857552,68968489,69024181,69632041,69819695,69852212,69905461,70144236,70222300,70227696,70339189,70535492,70821695,70945076,71034169,71139744,71230475,71455801,71508181,71563011,71589184,71607039,71664889,71820949,72122247,72182569,72540661,72591529,72844789,72852876,72988676,73046101,73196329,73445269,73741621,74206764,74229781,74471161,74498307,74528504,74662969,74753972,74995861,75431492,75927541,75929946,75965487,76052342,76110421,76233514,76399814,76485370,76573334,76741429,76784132,76830421,77051641,77120504,77227321,77314729,77371679,77464746,77488681,77661481,77998772,78046069,78088441,78225679,78376506,78379125,78383029,78508201,78672452,78797749,78961621,78987494,79006158,79076276,79083769,79158854,79684789,80017412,80032212,80115241,80245914,80308021,80420276,80537832,80574889,80714220,80763349,81390649,81583900,81628679,81711974,81749929,82344181,82616629,82950709,83049529,83098676,83115049,83148344,83180281,83309881,83342101,83533909,83604400,83754409,83783634,83785621,83844567,84002089,84065654,84266760,84305209,84424441,84651935,84699572,84717481,84803989,84832681,84986034,85246475,85309429,85391401,85418581,85476570,85765369,85843669,85895174,86095168,86200501,86275129,86398069,86638549,86662201,86709289,86721014,86760567,86802601,86894761,87050342,87444661,87652021,87772981,87871142,88019972,88026351,88045141,88478869,88513141,88663801,88728889,88886569,89037049,89051701,89068447,89208121,89342761,89355829,89507029,89586231,89590441,89647861,89692501,89859541,89869369,89884544,89922007,89936149,89999401,90033961,90050809,90075541,90091669,90107509,90115321,90217129,90230521,90237109,90418261,90434031,90452281,90459049,90480469,90493609,90504949,90533929,90534649,90534901,90605061,90605746,90661892,90793652,90796214,91175008,91260130,91451972,91782444,91924791,91978052,92800815,93198134,93243827,93422132,93541887,93562611,93752255,93991574,94054950,94800105,95410694,95453911,95530850,95970104,95976087,96559412,96857064,97129334,97708479,97760145,97900680,98240195,98401835,98640692,98984342,98987536,99291494,99399547,...,319931810301162006017484450150906170182194717651873138128868884017839404195831322495329070281505220132573539311983322780802407337015850914529072154089281240880044113908776287486627462317971715182962390224099854279063764055845844263497079720495182610615630035486900831550798729110135968991138093095891411895291749549986873105546117453830828277672551625362590670125871968577008507274550160753250410777243479600405758436488024113492318521892731095429996674072590152455151281724839459022083048638994281415393676185063116696641427787588333221637249660144916080569415500826664315833845249004157759099358074491144731883007677612358829082394242915897571686401673417626878673128312413235147256310674555109361464614083798083139390564097306369476710628788988292008326925184690678971947499593646216836772742772893340943450323824257334751430482886301150933504360044040054199740268988917910234588036527980301016640017366255833056157119412258788740954579657441654957104051383978758489175341456157774079162205680244770718578891825109572268628850342122549635811267818402117975487877828660648598099453905546332215505553144309664259034097284376380988437979598865093048499835513831332087237701912273259105510363136739535530208824815087544331295968628568889912120439782254387895915699279726126899050948278690015991015690563801952447865059568686868201895310869111256270236857408975416021970083710990132275706535096298388767633649535514151342089959067912547742587976598185233426024817946900469281841388606809958759798363538852426856933150254668933638127638478141354125416847160279127714865440979268295946861188909101544787767203898761464012639067405276477941095763556193241266880847930453248997528351426702496396981710886666426187704592950350899555294062947456212978777691384323863344785804270198711057063665640497570357075439812681178637187342730233667961030127309026746757350056015190617501542353992731255052776303583816720502236493638800678887744602670504866342834421384222474998934336349405324758409230258231391774540546749905598669044530846493488301141589611105003498114449016919280964771210365630155281344654387490824085827804074823046276329795864505794485435623500058714986338886388645138718003172981152197153616409883050187430622295364260480096533778269316587329138542398327170014359943636633258960766412978336761701993248289165854354767612856328941537116133845574824555990354062700322444531200525610224098409822952230894216590272179054194893100253313935738856051726509122122535365141369265391754142373134642031230558200607727822605332715511296502412528629973277379498985807286571729464373630311845385878178881812161351966066802007164684585388083154502472987929747019070736821357238208808642154620287702948447419948419509547098591497673558268273287539787664729946824646575553655451078064336584921281099198486248140193093066194304273970400192503107511601977326317785343757803590298821581151600988725778764562321413621667849708929167316160384244011769352816051324384992634710105213945897391438076769916486958169066892593974687999631503986132836}
19031   6669917805063189614537072376317951384005674380833857892115614012893541: {19031,1083513,1235845,1464001,1483014,1615765,1938918,2091430,2300089,2509716,3059161,3459638,3726548,3971209,4199221,4370230,4460065,4942340,5027845,5244276,5323640,5352078,5854772,5930808,5989095,6033414,6186513,6351265,6388368,6672159,7106374,7129875,7186914,7484065,7605200,7621518,8363960,8555850,8559529,8980878,9126240,9409455,9734656,9809041,10036752,10108532,10121665,10267020,10309765,10685845,10951488,11291346,11425358,12000865,12145998,12320424,12371718,12658993,12721489,12823014,12844676,13224181,13583001,13860477,13971615,14168833,14401038,14440760,14541553,14812165,14903056,14958601,15214441,15249441,15747265,15956293,16245855,16321940,16632875,16765938,17328912,17488081,17774598,18088952,18257798,18896601,18896718,19091713,19495026,19556913,19586328,19959450,20241190,20350071,20545761,20965345,21019009,21211814,21290080,21369430,21432961,21522565,21580633,21737144,21787892,21893845,22034619,22260601,22357262,22450465,22674289,23641873,23761250,23951340,24096889,24226275,24289428,24454287,24608782,24838021,24968468,25158414,25228165,25548096,25643316,25827078,25841360,25967365,26272614,26305201,26521345,26582641,26676038,26940558,27088401,27281198,28513500,28733665,28741608,28861238,29071530,29285845,29595214,29868433,30273798,30327321,30414400,30897812,31009632,31125560,31129921,31160838,31194133,31341409,31616841,31825614,31938681,32334309,32381972,32408065,32473621,32948833,32984161,33113161,33223881,33403561,34164118,34216200,34480398,34486815,34825521,34885836,35016255,35143014,35669240,35896916,36248965,36290209,36310911,36421761,36497280,36549253,36785936,36867481,37350672,37508449,38071765,38417281,38493225,38727193,38727668,38889678,38930432,38973140,39914481,40007732,40127895,40253845,40450436,40546713,40576153,40738201,40798465,40989358,41059440,41161345,41230340,41384178,41829716,42019506,42033574,42190441,42669190,42803088,43036238,43227275,43498758,43796736,43838353,44321961,44516494,45084502,45142465,45260913,45538033,45686118,46109041,46136041,46191870,46259960,46585345,46767768,46821513,46926121,47120230,47125765,47379793,47713718,47736068,48151081,48153474,48304614,48385345,48673441,48814453,48958158,49271328,49307241,49393614,49476408,50649014,51203028,51207695,51422158,51872730,52042455,52175449,52394961,52510165,52613739,52667830,53502932,54110996,54118465,54170958,54264001,54556628,54653845,54881830,55073209,55188865,55325240,55330912,55430244,55511952,55660959,55890769,55902414,56071713,56095081,56435845,56451313,56544276,56550918,56618581,56663348,56681481,57109921,57594513,57716372,57753601,58062414,58075681,58197430,58243078,59159713,59172769,59456065,59569633,60019761,60250358,60324193,60519265,61158661,61252729,61449234,61480340,61753250,61757845,61852582,61923793,62240895,62247276,62450946,62640536,63012198,63112681,63193801,63201396,63699814,64230681,64629793,64883641,64940374,64942158,65212441,65565253,65584614,65813665,65836153,65858196,65908630,66011348,66022401,66226638,66390288,67152961,67446361,67480441,67570465,67723014,68060689,68102913,68454584,68695401,69148165,69713318,69836916,70172841,70198165,70470603,70547845,71347278,71677969,72326473,72499033,72609958,72623118,72642565,72754801,73153850,73687765,73692289,73733415,73776408,74103900,74109414,74187982,74689074,74853176,75252865,75333272,75446913,76319121,76432760,76627009,76899513,76912981,76982438,77011407,77066821,77446198,77854165,77938040,78346713,78517681,78648976,78976398,79044160,79090356,79130113,79583365,79778132,80101345,80135830,80319128,80363721,80746292,80947640,81084558,81397993,81851569,81949333,82169665,82451960,82655913,82977798,82998459,83511921,83893575,83973841,84060565,84081513,84209823,84224881,84237798,84657414,84746965,84749931,84934281,85248193,85663095,85713716,85986855,86071940,86349001,86614094,86916513,86983892,87171078,87315265,87680295,87688321,87777875,87784620,87838292,88169365,88425318,88480098,88529881,88681345,88924680,89051953,89486480,90114841,90303438,90359019,91066095,91066438,91221841,91235845,91242802,91373968,91719312,92521713,92665262,92758455,93020878,93160630,93424998,93442465,93525648,93636928,93688753,94289365,94852992,95306761,95417348,95476052,95500038,95795473,95843361,95980165,96121614,96162996,96400630,97050421,97137168,97498465,97618582,97692529,98340565,98603598,98756161,98845345,98942352,99331076,99508021,99951681,...,479897715451743009026226675226359255273292076477809707193303326026759106293746983742993605422257830198860308967974984171203611005523776371793608231133921861320066170863164431229941193476957572774443585336149781418595646083768766395245619580742773915923445053230351247326198093665203953486707139643837117842937624324980309658319176180746242416508827438043886005188807952865512760911825241129875616165865219400608637654732036170238477782839096643144995011108885228682726922587259188533124572958491422123090514277594675044962141681382499832455874490217374120854123251239996473750767873506236638649037111736717097824511516418538243623591364373846357529602510126440318009692468619852720884466011832664042196921125697124709085846145959554215065943183482438012490387777036018457921249390469325255159114159340011415175485736386002127145724329451726400256540066060081299610403483376865351882054791970451524960026049383749584235679118388183111431869486162482435656077075968137733763012184236661118743308520367156077868337737664358402943275513183824453716901727603176963231816742990972897149180858319498323258329716464496388551145926564571482656969398297639572749753270746998130856552868409888658265544705109303295313237222631316496943952942853334868180659673381581843873548919589190348576422418035023986523535845702928671797589353030302302842966303666884405355286113463124032955125566485198413559802644447583151450474303271227013134938601868821613881964897277850139037226920350703922762082910214938139697545308278640285399725382003400457191457717212031188125270740418691572298161468902443920291783363652317181650805848142196018958601107914716911643645334289861900321271895679873496292527140053744595472566329999639281556889425526349332941094421184319468166537076485795017178706405298066585595498460746355535613159719021767955781014095350501941545190963540120136025084022785926252313530989096882579164455375725080753354740458201018331616904005757299514251632076333712498401504524107987137613845387347087661810820124858398003566796269740232451712384416657505247171673525378921447156815548445232922016981581236236128741706112234569414494693796758691728153435250088072479508329582967708077004759471728295730424614824575281145933443046390720144800667403974880993707813597490755021539915454949888441149619467505142552989872433748781532151419284493412305674200768362236833985531094050483666796800788415336147614734428346341324885408268581292339650379970903608284077589763683183803047712053898087631213559701963046845837300911591733907999073266944753618792944959916069248478710929857594196560445467768078817268322718242027949100203010747026878082124731753709481894620528606105232035857313212963231930431554422671129922629264320647887246510337402409931309681497094920236969863330483176617096504877381921648797729372210289639599291456410955600288754661267402965989476678015636705385448232371727401483088668146843482120432501774563393750974240576366017654029224076986577488952065157820918846087157115154874730437253600338890962031999447255979199254}
19032   6696468024796445417963266043565208277047165262271761482792081792231266: {361247,437207,589031,646442,1005887,1102058,1119407,1384007,1444684,1977352,2137847,2224521,2585224,2692178,2908377,3075647,3137145,3145202,3262607,3346288,3635927,3764574,4275242,4305887,4491527,4658185,4951538,5189457,5305967,5589822,5859047,6177925,6190031,6555345,6593687,6654550,6992368,7136104,7196498,7318465,7413510,7866414,7907744,7985460,8028117,8044552,8162327,8248684,8343767,8517824,8536562,8759402,8782158,8886887,8896212,9050121,9103631,9428207,9506500,9582552,9649322,10162024,10454950,10536938,10541231,10659561,10780371,10934327,11041367,11397647,11407800,11432277,11611031,11643218,11864042,11974504,12001487,12143231,12168320,12545940,12635665,12673631,12833775,13040174,13167047,13382336,13405778,13471317,13588727,13689360,14601984,14742407,14951231,15055128,15162798,15400530,15679847,15827833,16025567,16055845,16194664,16427232,16468082,16495624,16508231,16937019,17097352,17138037,17537231,17742167,17878631,18050950,18110668,18205298,18218997,18355247,18480636,18557577,18628820,18854378,18898031,19020001,19067231,19201384,19234521,19267014,19607327,19775687,19876607,20111807,20212487,20332588,20402425,20581031,21008618,21082031,21281927,21601557,21652082,21661140,22210967,22354584,22611190,22721642,22771967,23100887,23105216,23363447,23699464,24212978,24245807,24482910,24830807,24849962,25057607,25148907,25195468,25195624,25219367,25510031,25542287,25639007,25697258,25993031,25993368,26075884,26115104,26185727,26331218,26612600,26661897,26666207,26985527,27081167,27133428,27171430,27174482,27234865,27386697,27394348,27621767,27805418,27907031,28096847,28225322,28345077,29063402,29242539,29379492,29448767,29939175,29979167,30103631,30361785,30524498,31033031,31210585,31372007,31817721,31935120,31978538,32054145,32138807,32185682,32187694,32301700,32385904,32605716,32681838,33012818,33052367,33535893,33544552,33747887,34043498,34048967,34064128,34109087,34191088,34229231,34436104,34454762,34648727,34857887,35030152,35070578,35096447,35393927,35480402,35641875,35720231,35920744,35927010,35986487,36016031,36117868,36193127,36340487,36434142,36458231,36913173,37074287,37337231,37452702,37724138,37737621,38018000,38035247,38093207,38322144,38464974,38622265,38740617,38762040,38906950,38958767,39044927,39073631,39142898,39408921,39503231,39646031,39674567,39748778,39902567,40014057,40365064,40410837,40436428,40477465,40753007,40921797,41346176,41372087,41547784,41875727,42043031,42155788,42432287,42434152,42559082,42584908,42770250,43013231,43112412,43291857,43555922,43590647,43607295,43700231,43864367,44000927,44082767,44273447,44298508,44392821,44518031,44586550,44871145,45410697,45463031,45489887,45538802,45621600,45973864,45982420,46025327,46130858,46346718,46434028,46514448,46688340,46741257,46857352,47612447,47691047,47717231,47738421,48082967,48095018,48409585,48414548,48486122,48562348,48572958,48628631,48663040,48716425,48887231,49504607,49632647,49800896,50009665,50433002,50563045,50776007,51014258,51027887,51246177,51324300,51404207,51537925,51554231,51720597,51852904,51903167,51928031,52287145,52328754,52670231,52714521,52793231,52942418,53014127,53038631,53219308,53307647,53503860,53745767,53845374,53915447,54062284,54253631,54283562,54474578,54745920,54810469,54829727,55068407,55178904,55211231,55330031,55472327,55921031,56026008,56187242,56249807,56390231,56413607,56740031,56944682,56949047,57070784,57111167,57434231,57526247,57824950,57998344,58091502,58257767,58334517,58395648,58459710,58828202,59095948,59138231,59203178,59362031,59670085,59897761,60011598,60139031,60337247,60347884,60666167,60675654,60914824,61145327,61484037,61589160,61792487,61845510,62076267,62305031,62357024,62411231,62428684,62496047,62736722,62744574,62855087,62939231,63029259,63050361,63065207,63474002,63856367,64000847,64003785,64204632,64208978,64406152,64554357,64798631,65203031,65223167,65248137,65277544,65307122,65489642,65496529,65524247,65695104,65742988,65858152,65916613,65968544,66036338,66219767,66593231,66774741,66808127,66878665,67002647,67273631,67626753,67638745,67638887,67849031,68029802,68152967,68195785,68209727,68210162,68270704,68529177,68817854,69145127,69156550,69163640,69287805,69389940,69715031,69859948,70150967,70151652,70187087,70279237,70349231,70367207,70680345,70720082,70829185,71044367,71062031,71076338,71190229,71220647,71518487,71570577,71604102,71964458,72145465,72210167,72227944,72230211,72318698,72456921,72551207,72619031,72804887,72855407,72973007,73207031,73437237,73604567,73719647,73768847,73906992,73948631,74015936,74090421,74214612,74256722,74256887,74536552,74578247,74762284,74928047,74975447,75070031,75148631,75306482,75392368,75401224,75575308,75616031,75938927,75973521,76000031,76003442,76303631,76618967,76678631,76792684,76804542,76842047,76850425,77107367,77133237,77195231,77253647,77341031,77416552,77644607,77759327,77809095,78080498,78300670,78395087,78561887,78596522,78700007,78705913,78741287,78823631,78973847,79001745,79028231,79109567,79177127,79282538,79578287,79631231,79795538,79952222,80011247,80026348,80136818,80254398,80282231,80397287,80477522,80486327,80600231,80675807,80713487,80975231,81147767,81166494,81256437,81403631,81584231,81632087,81774887,81834942,81932312,81940031,82003562,82045367,82161647,82322745,82357487,82391807,82514185,82562327,82641287,82675007,82975247,82987860,82996368,83063087,83074031,83128631,83139527,83145366,83267928,83334287,83547647,83558231,83621567,83852882,83853621,84016007,84016264,84020138,84026231,84138167,84178631,84268528,84615287,84760607,84816414,84826377,84854258,84856487,84942121,84995022,85157927,85241231,85278047,85387727,85433087,85568230,85640908,85684778,85780031,85788767,85867031,86123231,86413031,86574558,86589544,86606087,86653631,86685167,86732231,86840927,86963231,87031127,87068567,87093621,87187031,87267287,87296145,87364617,87446087,87446152,87467207,87571727,87585527,87810928,87854807,87887567,87946031,88003847,88029868,88098767,88142447,88302184,88372727,88413887,88431407,88481618,88520384,88529327,88584937,88613807,88745231,88766687,88908167,88933727,88970858,89058527,89238647,89350847,89377031,89402927,89524031,89665007,89713367,89788631,89826647,89870327,89886767,89919047,89938031,89984231,90011087,90071231,90095927,90127847,90166127,90209687,90214367,90223631,90248447,90257231,90269162,90297352,90345407,90373631,90375537,90383687,90388607,90428231,90436607,90442031,90453767,90456287,90467231,90478631,90499967,90504527,90512231,90524327,90533231,90541487,90543647,90544847,90547031,90554231,90803884,90914858,91232053,91439257,91593868,91879082,92039282,92173851,92220510,92629875,92778873,93115888,93370914,93563788,93566470,93620233,93633362,93676419,93960804,94166590,94266962,94518297,94582898,94802094,95055722,95129704,95213042,95370218,95540950,95549721,96470257,96778322,96830824,97410561,97413237,97422550,97747573,98311220,98368544,98376921,98787294,98805200,98812552,98862945,99017022,99150373,99339957,99585432,99722665,...,719846573177614513539340012839538882909938114716714560789954989040138659440620475614490408133386745298290463451962476256805416508285664557690412346700882791980099256294746646844911790215436359161665378004224672127893469125653149592868429371114160873885167579845526870989297140497805930230060709465755676764406436487470464487478764271119363624763241157065829007783211929298269141367737861694813424248797829100912956482098054255357716674258644964717492516663327843024090383880888782799686859437737133184635771416392012567443212522073749748683811735326061181281184876859994710626151810259354957973555667605075646736767274627807365435387046560769536294403765189660477014538702929779081326699017748996063295381688545687063628769218939331322598914775223657018735581665554027686881874085703987882738671239010017122763228604579003190718586494177589600384810099090121949415605225065298027823082187955677287440039074075624376353518677582274667147804229243723653484115613952206600644518276354991678114962780550734116802506606496537604414913269775736680575352591404765444847725114486459345723771287479247484887494574696744582826718889846857223985454097446459359124629906120497196284829302614832987398317057663954942969855833946974745415929414280002302270989510072372765810323379383785522864633627052535979785303768554393007696384029545453454264449455500326608032929170194686049432688349727797620339703966671374727175711454906840519702407902803232420822947345916775208555840380526055884143124365322407209546317962417960428099588073005100685787186575818046782187906110628037358447242203353665880437675045478475772476208772213294028437901661872075367465468001434792850481907843519810244438790710080616893208849494999458922335334138289523999411641631776479202249805614728692525768059607947099878393247691119533303419739578532651933671521143025752912317786445310180204037626034178889378470296483645323868746683063587621130032110687301527497425356008635949271377448114500568747602256786161980706420768081020631492716230187287597005350194404610348677568576624986257870757510288068382170735223322667849383025472371854354193112559168351854121742040695138037592230152875132108719262494374451562115507139207592443595636922236862921718900164569586080217201001105962321490561720396236132532309873182424832661724429201257713829484808650623172298227128926740118458511301152543355250978296641075725500195201182623004221422101642519511987328112402871938509475569956355412426116384645524775704571568080847131446820339552944570268755951367387600861998609900417130428189417439874103872718066394786391294840668201652118225902484077363041923650304516120540317123187097630564222841930792909157848053785969819444847895647331634006694883943896480971830869765506103614896964522245642380355454794995724764925644757316072882473196594058315434459398937184616433400433131991901104448984215017023455058078172348557591102224633002220265223180648752661845090626461360864549026481043836115479866233428097736731378269130735672732312095655880400508336443047999170883968798881}
19033   6723123169687170415296152123758965450109719863992443748420510266631220: {38062,969663,1653087,1730183,1805855,2167026,2262071,2471690,2718287,2928002,2966028,3231530,3877836,4038267,4182860,4600178,4693247,4717803,5019432,5646861,6118322,6244091,6412863,6919276,7038983,7427307,7453096,7942418,8384733,8398442,8740460,8891771,8920130,8977067,9884680,9981825,10055690,10115807,10310855,10477691,10488552,10647280,10704156,10794747,11120265,11592503,11709544,11799621,11861616,11883125,11937791,11978190,12066828,12373026,12702530,12776736,12804843,13139103,13173237,13344318,13532027,13869263,14170331,14212748,14259750,14373828,14433671,14473983,14779967,14960183,14968130,15034487,15210400,15243036,15682425,15805407,16146023,16727920,16801211,17056727,17111700,17119058,17464827,17796063,17961756,17980703,18252480,18818910,19469312,19560261,19618082,20073504,20108667,20217064,20243330,20534040,20619530,20737031,21371690,21435227,21902976,22046171,22582692,22638335,22676687,22744197,22850716,23100795,23286025,24001730,24119531,24291996,24640848,24702123,24743436,24840647,25272347,25317986,25329863,25415735,25442978,25646028,25689352,25954871,26307983,26448362,26796887,27076425,27166002,27307947,27720954,27943230,28281567,28337666,28802076,28881520,28900521,29083106,29351483,29624330,29806112,29917202,30131591,30428882,30498882,30651383,31197431,31430651,31494335,31494530,31512927,31912586,32478123,32491710,32594855,32643880,33116663,33265750,33531876,33814187,33916785,34082463,34242935,34657824,34864031,34976162,35033003,35319431,35549196,36177904,36294047,36319467,36354311,36515596,36724365,37008827,37039847,37129883,37274943,37793202,37793436,38183426,38545887,38990052,39113826,39172656,39496827,39918900,40227131,40377125,40482380,40700142,40757145,40761723,41000183,41091522,41708127,41930690,42038018,42194903,42337983,42423628,42580160,42738860,42865922,43045130,43161266,43474288,43575784,43595103,43787690,44069238,44328167,44521202,44714524,44900930,45147335,45348578,45371291,45786747,47283746,47339567,47522500,47902680,47967807,48193778,48278523,48281541,48452550,48578856,48678587,48908574,49022757,49217564,49519227,49676042,49936936,50316828,50334671,50456330,50545535,50748551,51065247,51096192,51286632,51654156,51682143,51682720,51934730,52180967,52545228,52605867,52610402,52694735,53042690,53165282,53220603,53231135,53300471,53352076,53881116,53890515,54176802,54492503,54562396,54651213,55294391,55373135,55458143,56179053,56355383,56586207,56624567,56905823,57027000,57117851,57467330,57478025,57483216,57625883,57697461,57722476,57759707,58042535,58081823,58143060,58360425,58571690,58714347,59190428,59380463,59575931,59623167,59736866,60344507,60518185,60547596,60654642,60702935,60828800,61165127,61259207,61795624,62019264,62251120,62259842,62321676,62388266,62682818,63199451,63233682,63651228,63838623,63877362,64130183,64155375,64240667,64668618,64763944,64816130,64890503,64947242,65219483,65333883,65497307,65897666,65968322,65976071,66052727,66226322,66447762,66524135,66807122,66879825,67160063,67493543,67577855,67739483,67828511,68053931,68067887,68308203,68328236,68432400,68960796,68973630,69196287,69520077,69651042,69771672,70032510,70286028,70367831,71244263,71338480,71690773,71793832,72142527,72497930,72580418,72621822,72729183,72843522,72859437,72994560,73098506,73137791,73514231,73571872,73734962,73869935,74683583,74701344,75016898,75381227,75434855,75649503,75765851,76143530,76515383,76521387,76834562,76986450,77264411,77454386,77455336,77779356,77860864,77946280,78035855,78493131,79010183,79413627,79828962,80015464,80255790,80507690,80768061,80900872,81028331,81093426,81152306,81425343,81476402,81596930,81711867,81978716,82118880,82178735,82322690,82460680,82768356,83238491,83659432,84039012,84067148,84157247,84280863,84380882,84710327,84726971,84837611,85338380,85417023,85606176,85961567,86072476,86454550,86460983,86737425,86997516,87090887,87137253,87324935,87593472,87676706,87689565,88242303,88643922,88665431,88804767,89032988,89737307,90017397,90169004,90284930,90521826,91013481,91076066,91372236,91590431,92139131,92218082,92272082,92383740,92519920,92768265,92793623,93170690,93452855,93535536,93643026,93852242,94105083,94116861,94240460,94251530,94469135,94598651,94759586,95193467,95211003,95427436,95472136,95596271,95990855,96302162,96306948,96313467,96358523,96507707,96609228,96770690,96807431,97346882,97628906,97916316,97960683,98234463,98277431,98542656,98614482,98766983,98787228,98952816,99054507,...,959795430903486018052453350452718510546584152955619414386606652053518212587493967485987210844515660397720617935949968342407222011047552743587216462267843722640132341726328862459882386953915145548887170672299562837191292167537532790491239161485547831846890106460702494652396187330407906973414279287674235685875248649960619316638352361492484833017654876087772010377615905731025521823650482259751232331730438801217275309464072340476955565678193286289990022217770457365453845174518377066249145916982844246181028555189350089924283362764999664911748980434748241708246502479992947501535747012473277298074223473434195649023032837076487247182728747692715059205020252880636019384937239705441768932023665328084393842251394249418171692291919108430131886366964876024980775554072036915842498780938650510318228318680022830350971472772004254291448658903452800513080132120162599220806966753730703764109583940903049920052098767499168471358236776366222863738972324964871312154151936275467526024368473322237486617040734312155736675475328716805886551026367648907433803455206353926463633485981945794298361716638996646516659432928992777102291853129142965313938796595279145499506541493996261713105736819777316531089410218606590626474445262632993887905885706669736361319346763163687747097839178380697152844836070047973047071691405857343595178706060604605685932607333768810710572226926248065910251132970396827119605288895166302900948606542454026269877203737643227763929794555700278074453840701407845524165820429876279395090616557280570799450764006800914382915434424062376250541480837383144596322937804887840583566727304634363301611696284392037917202215829433823287290668579723800642543791359746992585054280107489190945132659999278563113778851052698665882188842368638936333074152971590034357412810596133171190996921492711071226319438043535911562028190701003883090381927080240272050168045571852504627061978193765158328910751450161506709480916402036663233808011514599028503264152667424996803009048215974275227690774694175323621640249716796007133592539480464903424768833315010494343347050757842894313631096890465844033963162472472257483412224469138828989387593517383456306870500176144959016659165935416154009518943456591460849229649150562291866886092781440289601334807949761987415627194981510043079830909899776882299238935010285105979744867497563064302838568986824611348401536724473667971062188100967333593601576830672295229468856692682649770816537162584679300759941807216568155179527366367606095424107796175262427119403926093691674601823183467815998146533889507237585889919832138496957421859715188393120890935536157634536645436484055898200406021494053756164249463507418963789241057212210464071714626425926463860863108845342259845258528641295774493020674804819862619362994189840473939726660966353234193009754763843297595458744420579279198582912821911200577509322534805931978953356031273410770896464743454802966177336293686964240865003549126787501948481152732035308058448153973154977904130315641837692174314230309749460874507200677781924063998894511958398508}
19034   6749883651407886456106118000256296152754244896474195172776821215120257: {57093,722494,874414,1157353,1178062,1292884,2011774,2204116,2238814,2768014,2889368,3250539,3707535,3954704,4275694,4392003,4449042,4529113,4847295,5170448,5195689,5228575,5384356,5816754,6151294,6274290,6290404,6521459,6525214,6692576,6900267,6960553,7271854,7398889,7529148,8550484,8611774,8649095,8983054,9177483,9316370,9903076,10004713,10245851,10378914,10611934,10649689,10925575,11078233,11179644,11185189,11718094,11913627,12355850,12380062,12597663,13110690,13187374,13309100,13309189,13380195,13414633,13984736,14272208,14392996,14636930,14778853,14827020,14987653,15083535,15508393,15732828,15815488,15970920,16056234,16089104,16324654,16441189,16497368,16687534,16956889,17035648,17073124,17518804,17564316,17689931,17765935,17773774,17792424,17880613,17967285,18100242,18207262,18391273,18559539,18856414,19013000,19053795,19103173,19165104,19298644,20016477,20114053,20324048,20616793,20909900,20917573,21073876,21082462,21319122,21389625,21560742,21868654,22082734,22452195,22478183,22795294,22815600,22864554,23004889,23222062,23286436,23398873,23497189,23728084,23949008,24002974,24286462,24336640,25091880,25271330,25290331,25347262,25545193,25667550,25678587,26028133,26080348,26334094,26764672,26811556,26942634,26988613,27177454,27370789,27378720,28228365,28563395,28793689,29203968,29358313,29427123,29484814,29902462,30107113,30110256,30325596,30364995,30665689,30801060,30929295,31359694,31498693,31655666,32050789,32051134,32057535,32111690,32389328,32854464,32936164,32991248,33016462,33872389,33874038,33962713,34194704,34276074,34861993,35074462,35484334,35754073,35757262,36002595,36020293,36101900,36221336,36410596,36437994,36710494,36961272,37078693,37115154,37257640,37708756,37796062,37976979,38040002,38128811,38134462,38164467,38300389,38387113,38402768,38469042,38534028,39078313,39214654,39551374,39593689,39672543,39679333,39753214,40223614,40424974,40665176,40749003,40804850,40870789,40955353,41162062,41581431,41914845,42017236,42131689,42164062,42506499,42563854,42963289,43203114,43304164,43322280,43624659,43694819,43705573,44421934,44436495,44709168,44875803,45010789,45222380,45443284,45495493,45543934,45643323,45644495,45748323,46137733,46201774,46210432,46726894,47241795,47398928,47723173,47868879,48115033,48425956,48491614,48737565,48893353,48965820,49661614,49664473,49699924,49898625,50115214,50297814,50390936,50391248,50438734,50602975,50883289,51020062,51084574,51278014,51394516,51934633,51986062,51986736,52009189,52151768,52230208,52371454,52464243,52662436,52824553,53029535,53045413,53225200,53323794,53332414,53423575,53558233,53971054,54071171,54162334,54266856,54342860,54348964,54469730,54773394,54788696,54860713,55243534,55360933,55610836,55645189,55814062,55893155,56069413,56193694,56420953,56450644,56668451,56689803,56690154,57049189,57275139,57809113,58126804,58424389,58485078,58670739,58758984,58897534,59403125,59503813,59878350,59958334,60169093,60207262,60367273,60696133,60723570,61048996,61050213,61348453,61521955,61637283,62066062,62421170,62744014,62819603,62896035,63057027,63324889,63635442,63870240,63957076,64108290,64277614,64298883,64371364,64375388,64567695,64603400,64741899,64771808,64807513,65211432,65232133,65363676,65681535,66025636,66103857,66104734,66366889,66425893,66690095,66781803,67071786,67089104,67351395,67495774,67773419,68022867,68086996,68097934,68128256,68162533,68202995,68218174,68382176,68445673,68458462,68872208,68894953,68909524,69297454,69715774,69724933,70013531,70060304,70141156,70192894,70377253,70787854,70788263,70925619,70960804,71072233,71178073,71283750,71440462,71841488,71854020,71972974,72032062,72153095,72169189,72235736,72290667,72386254,72678825,72680974,72868284,72916462,72983653,73184389,73202003,73362861,73681189,73826346,73926889,73975813,73988035,74148574,74514063,74605273,74674462,74891689,74905404,75410053,75448276,75475242,75642793,75684495,76036000,76070494,76186414,76284889,76330213,76644288,76929948,77133733,77177689,77244530,77481234,77524080,77813900,77902095,77917534,78089854,78147262,78285796,78670789,78817842,78915603,79006462,79292062,79349134,79497556,79564035,79643653,79747923,79805134,80028114,80036773,80075689,80460889,80730128,80821674,80838889,80872856,80954930,80988073,81172933,81265203,81355993,81506014,81752389,81843594,81929689,82416553,82587013,82692352,82744174,82822633,83087593,83095568,83153113,83315653,83538119,83571973,83751454,84040153,84086062,84133907,84192613,84222889,84311576,84373189,84864574,84868304,85118164,85169816,85237189,85264873,85410295,85540500,85803433,86026462,86163289,86200995,86224824,86533189,86583714,86652889,86863813,87111844,87181294,87202393,87214590,87333289,87354853,87400462,87728734,87857535,87870553,88001854,88120933,88158373,88165534,88546894,88597016,88750789,88785642,89000773,89036062,89118853,89173100,89273689,89470789,89581273,89605299,89697193,89742290,89867689,89926873,89955493,90001753,90183913,90220453,90241513,90370789,90401893,90421189,90425833,90439333,90540889,90557413,90560293,90564073,90566233,90821394,90926062,90979774,90981963,91077604,91243200,91947728,91964840,92050654,92261716,92693436,92868056,93016079,93028896,93376680,93389763,93482514,93582399,93630131,93714704,94024227,94694243,94850523,95224894,95382094,95434462,95474099,95476842,95816043,96165934,96190036,96819170,96829096,96972244,97002927,97124696,97145916,97224195,97257262,97326080,97420863,97432850,97774462,98846499,98952483,99009214,99160859,99265294,99339483,99601792,99671643,...,1439693146355229027078680025679077765819876229433429121579909978080277318881240951228980816266773490596580926903924952513610833016571329115380824693401765583960198512589493293689823580430872718323330756008449344255786938251306299185736858742228321747770335159691053741978594280995611860460121418931511353528812872974940928974957528542238727249526482314131658015566423858596538282735475723389626848497595658201825912964196108510715433348517289929434985033326655686048180767761777565599373718875474266369271542832784025134886425044147499497367623470652122362562369753719989421252303620518709915947111335210151293473534549255614730870774093121539072588807530379320954029077405859558162653398035497992126590763377091374127257538437878662645197829550447314037471163331108055373763748171407975765477342478020034245526457209158006381437172988355179200769620198180243898831210450130596055646164375911354574880078148151248752707037355164549334295608458487447306968231227904413201289036552709983356229925561101468233605013212993075208829826539551473361150705182809530889695450228972918691447542574958494969774989149393489165653437779693714447970908194892918718249259812240994392569658605229665974796634115327909885939711667893949490831858828560004604541979020144745531620646758767571045729267254105071959570607537108786015392768059090906908528898911000653216065858340389372098865376699455595240679407933342749454351422909813681039404815805606464841645894691833550417111680761052111768286248730644814419092635924835920856199176146010201371574373151636093564375812221256074716894484406707331760875350090956951544952417544426588056875803323744150734930936002869585700963815687039620488877581420161233786417698989998917844670668276579047998823283263552958404499611229457385051536119215894199756786495382239066606839479157065303867343042286051505824635572890620360408075252068357778756940592967290647737493366127175242260064221374603054994850712017271898542754896229001137495204513572323961412841536162041262985432460374575194010700388809220697355137153249972515741515020576136764341470446645335698766050944743708708386225118336703708243484081390276075184460305750264217438524988748903124231014278415184887191273844473725843437800329139172160434402002211924642981123440792472265064619746364849665323448858402515427658969617301246344596454257853480236917022602305086710501956593282151451000390402365246008442844203285039023974656224805743877018951139912710824852232769291049551409143136161694262893640679105889140537511902734775201723997219800834260856378834879748207745436132789572782589681336403304236451804968154726083847300609032241080634246374195261128445683861585818315696107571939638889695791294663268013389767887792961943661739531012207229793929044491284760710909589991449529851289514632145764946393188116630868918797874369232866800866263983802208897968430034046910116156344697115182204449266004440530446361297505323690181252922721729098052962087672230959732466856195473462756538261471345464624191311760801016672886095998341767937597762}
19035   6776749883234663052375456384158558170223911382553718441615147210904309: {76124,1083741,1311621,1616105,1767093,1939326,2300573,2528197,2755145,3017661,3212521,3306174,3358221,3460366,3611710,4152021,4334052,4524142,4807253,4943380,5436574,5491289,5856004,5932056,6413541,6463060,6673563,6730445,7755672,7863005,8076534,8365720,8725131,9200356,9226941,9386494,9411435,9435606,9787821,10038864,10609261,10688105,10907781,11293722,12236644,12378845,12488182,12825726,12917661,13342237,13474581,13838552,13974555,14077966,14435197,14854614,14906192,15500941,15568371,15884836,15917901,16636375,16769466,16796884,17480920,17577141,17783542,17840260,17954134,17991245,18233053,18533775,18570093,19015877,19666035,19769360,19781061,19963650,20111380,20231614,20621710,20955382,20977104,21294560,21341405,21408312,21589494,21898505,21955395,22240530,22265309,22869029,23111021,23185006,23419088,23506373,23599242,23723232,23766250,23875582,23956380,24084351,24123305,24133656,24486981,24746052,25031301,25332541,25405060,25553472,25609686,25841117,26137375,26278206,26342345,26346474,26660661,26688636,26799721,27064054,27150363,27310893,27738526,28284621,28340662,28425496,28519500,28747656,28867342,28947966,29108045,29559934,29660105,29920366,29936260,30068974,30420800,30486072,31364850,31610814,31623693,31693669,31978683,32292046,32341113,32418317,32480489,32600435,32802981,33124101,33455840,33514445,33602422,34113454,34192941,34223400,34238116,34296831,34399109,34833093,34867717,34929654,35582029,35592126,35923512,35961406,36004461,36429693,36504960,36510869,37012741,37637820,37906995,38020893,38501325,38938624,39120522,39236164,39501141,39962221,40147008,40217334,40413951,40434128,40486660,40766181,41068080,41170205,41239060,41474062,42743380,42870454,43805952,43930253,44092069,44092342,44227221,44853693,45127375,45165384,45276670,45353374,45488394,45513245,45632797,45701432,46201590,46572050,46936109,47039541,47135945,47483499,47795177,47940109,48003460,48076701,48167535,48239062,48583992,48824777,49118501,49281696,49404246,49486872,49524693,49681294,50544694,50635972,50659726,50811057,50831470,50885956,51292056,51378704,51414111,51832253,51909742,52521545,52611693,52615966,52896724,53226501,53593774,53635893,54130205,54152850,54332004,54615894,54656991,55065741,55300237,55441908,55672731,55886460,55946761,56256397,56527975,56563134,56675332,56694093,56804105,57060003,57201693,57327077,57604152,57703563,57763040,57801042,57934613,58166212,58643597,58702966,58821981,59248660,59327061,59386741,59612224,59629821,59834404,60263182,60335421,60370013,60532445,60637461,60857764,60997764,61207275,61302766,61743093,62124905,62394862,62861302,62988670,62989060,63025854,63126029,63206269,63246093,63825172,63845781,64017173,64243145,64247461,64354133,64804671,64956246,64983420,65189710,65287760,65828045,65850077,66233326,66531500,66632901,67063752,67628374,67833570,67928575,67936205,68164926,68315901,68485870,69302661,69315648,69513545,69728062,69952324,70066006,70090341,70375273,70563305,70638862,70763749,71098392,71162093,72355808,72499493,72588094,72638934,72658505,72708622,72737421,73031192,73448730,73772629,74017654,74079694,74259766,74492421,74523589,74549886,74960381,74966537,75172821,75446721,75586404,75586872,75658101,76311245,76366852,76530093,76626861,76917021,77091774,77522389,77979093,77980104,78227652,78345312,78557181,78993654,79054517,79625941,79837800,79946345,79985691,79998621,80427373,80454262,80464205,80469235,80754250,80956581,80964760,81243501,81259549,81400284,81514290,81523446,81704595,81742237,82000366,82160091,82183044,82532045,82865301,83136701,83416254,83721093,83861380,84076036,84290541,84389806,84675966,84725459,84847256,84984109,85035231,85108745,85160320,85477720,85731844,85739177,86090260,86136905,86322532,86948576,87151568,87190206,87575380,87676445,87727617,88138476,88149413,88346301,88656334,88701005,89042404,89429048,89801860,89817525,89937501,90294670,90310893,90697156,90742582,91085355,91237277,91573494,93099093,93133789,93631755,94116021,94310345,94567492,94608997,94679134,95045000,95453163,95805360,95935614,96162435,96387556,96416421,96557046,96563082,96905100,96991837,97157712,97267375,97357174,97817148,97857245,98045514,98435128,99038454,99157101,99352084,99371945,99873872,...,2159539719532843540618020038518616648729814344150143682369864967120415978321861426843471224400160235894871390355887428770416249524856993673071237040102648375940297768884239940534735370646309077484996134012674016383680407376959448778605288113342482621655502739536580612967891421493417790690182128397267030293219309462411393462436292813358090874289723471197487023349635787894807424103213585084440272746393487302738869446294162766073150022775934894152477549989983529072271151642666348399060578313211399553907314249176037702329637566221249246051435205978183543843554630579984131878455430778064873920667002815226940210301823883422096306161139682308608883211295568981431043616108789337243980097053246988189886145065637061190886307656817993967796744325670971056206744996662083060645622257111963648216013717030051368289685813737009572155759482532768801154430297270365848246815675195894083469246563867031862320117222226873129060556032746824001443412687731170960452346841856619801933554829064975034344888341652202350407519819489612813244739809327210041726057774214296334543175343459378037171313862437742454662483724090233748480156669540571671956362292339378077373889718361491588854487907844498962194951172991864828909567501840924236247788242840006906812968530217118297430970138151356568593900881157607939355911305663179023089152088636360362793348366500979824098787510584058148298065049183392861019111900014124181527134364720521559107223708409697262468842037750325625667521141578167652429373095967221628638953887253881284298764219015302057361559727454140346563718331884112075341726610060997641313025136435427317428626316639882085313704985616226102396404004304378551445723530559430733316372130241850679626548484998376767006002414868571998234924895329437606749416844186077577304178823841299635179743073358599910259218735597955801014563429077258736953359335930540612112878102536668135410889450935971606240049190762863390096332061904582492276068025907847814132344343501706242806770358485942119262304243061894478148690561862791016050583213831046032705729874958773612272530864205146512205669968003548149076417115563062579337677505055562365226122085414112776690458625396326157787483123354686346521417622777330786910766710588765156700493708758240651603003317886964471685161188708397596929619547274497985173287603773141488454425951869516894681386780220355375533903457630065752934889923227176500585603547869012664266304927558535961984337208615815528426709869066237278349153936574327113714704242541394340461018658833710806267854102162802585995829701251391284568252319622311618154199184359173884522004604956354677707452232089125770950913548361620951369561292891692668525792378727473544161357909458334543686941994902020084651831689442915492609296518310844690893566736927141066364384987174294776934271948218647419589782174946303378196811553849300201299395975703313346952645051070365174234517045672773306673899006660795669541946257985535271879384082593647079443131508346439598700284293210194134807392207018196936286967641201525009329143997512651906396643}
19036   6803722280053318450126011202330694357705198502711655803261391690261812: {95155,114186,437299,1444988,1686283,1748828,2314706,2356124,2585768,2589163,2908989,3151123,3711283,4023548,4381099,4408232,4477628,4492483,4937299,4959261,5190549,5417565,5491699,5536028,5778736,5933923,6179225,6501078,6786213,7320005,7415070,7800523,7909408,8078825,8154861,8236699,8345563,8551388,8784006,8898084,9058226,9694590,10340896,10391378,10457150,10768712,10936699,11500445,11633508,12108733,12114801,12302588,12535099,12548580,12580808,13042918,13050428,13385152,13800534,13921106,14079741,14153409,14543708,14797778,15058296,15295805,16098163,16940583,17100968,17130283,17223548,17298190,17643643,17966108,18354966,18632740,18732273,18868363,19238589,19679083,19806152,19856045,20009426,20491702,20757828,20996105,21116949,21223868,21299378,21851150,21884803,22156466,22281921,22300325,22359288,22370378,22875883,23171803,23436188,23827254,24153523,24711700,24760124,24836443,24872309,25128043,25139225,25154199,25195326,25322083,26221380,26374748,26618200,26618378,26675313,26760390,26829266,26931201,27151099,27246643,27969472,28198123,28544416,28785992,29273860,29557706,29611843,29654040,29888573,29945475,29975306,30167070,30347421,30932565,31016786,31433073,31465656,31630976,31748083,31756325,31941840,32112468,32178208,32207443,32384241,32649308,32756299,32882378,32994736,33360795,33375068,33913778,34071296,34117099,34146248,34777509,35037608,35128632,35379862,35398863,35531870,35547548,35550763,35584848,35649375,35761226,35813373,35934570,36200484,36349099,36414524,36782546,37119078,37141603,37229299,37420325,37712828,38026000,38102299,38107590,38206346,38330208,38414529,38597288,38968099,39417309,39519711,39988753,40032954,40168123,40228106,40596081,40648096,41233586,41607789,41819800,41835146,41941699,42025363,42147752,42164924,42510993,42638244,42779250,42797645,42858043,43121484,43301013,43421949,43737308,43929763,44165468,44339901,44880549,44904390,44956366,45103461,45590588,45631200,45715723,45729108,46009778,46036699,46444124,46572872,46754683,46797746,46913443,46994378,47047275,47309083,47416221,47456168,47624299,47702923,47898016,48005948,48438069,48572924,48673280,49045205,50183760,50403633,50542660,50580662,50608325,50694524,51090386,51170181,51335100,51357174,51548825,51916363,52056266,52160696,52394481,52668188,53027683,53248003,53388189,53429225,53529344,53623112,53885268,53942109,53977226,53977723,54354908,54741578,54757440,54843883,55486699,55841299,56264443,56456730,56475043,57126790,57518323,57587378,57931099,58407936,58613299,58680783,58716626,58854246,58969628,59355403,59804924,60004325,60214226,60220512,60326001,60353323,60651192,60729990,61009603,61331378,61602120,61658683,61852003,61858590,62211093,62719388,62872099,62997386,63187099,63249883,63294965,63311332,63607445,63749563,63902293,64101578,64102268,64115070,64223380,64305681,64367683,64490443,64778656,65341699,65582323,65708928,65872328,65881483,65982496,66032924,66120905,66138513,66885163,67696099,67744778,67748076,67915005,67925426,68030061,68209963,68232591,68266699,68389408,68552148,69053443,69302385,69723986,69858075,70148924,70207099,70530883,70844165,70968668,71508146,71514524,71539099,72005190,72040586,72203800,72265363,72358593,72442672,72572299,72623203,72707765,72821192,72875988,73420988,73527163,73774123,73922544,74060825,74106369,74157386,74230308,74241349,74311099,74515280,74521941,74793005,75029299,75417512,75545683,75592124,75777523,75817041,75953958,75989589,76072205,76080004,76247205,76257622,76268924,76328934,76600778,76774226,76805536,76820803,76938084,77068056,77130763,77697043,77864613,78124363,78156626,78250417,78419203,78429308,78586099,78736325,78923949,78998299,79102748,79187378,79201699,79345086,79358666,79506428,79781465,80384299,80390661,80447228,80801683,80849948,81229275,81330352,81498006,81609700,81741578,81860299,81910706,81923841,82071763,82324124,82418443,82589083,83162862,83164375,83383099,83827123,83829690,84034472,84263378,84328124,84760099,84789043,84844701,84875443,85012998,85127708,85352803,85434883,85462099,85926578,86130737,86344603,86406228,86467363,86588323,86608328,86644560,86701563,86707483,86871283,87076699,87249318,87389638,87411146,87440405,87491203,87616699,87719299,87899443,88035523,88054449,88130563,88315243,88544563,88712683,88843868,88872990,88951363,89101483,89272123,89393299,89406403,89418336,89445283,89629963,89699299,89751606,89766043,89911699,89921563,89997883,90021578,90052099,90168523,90250099,90290923,90322963,90353203,90394773,90444760,90493099,90541699,90581299,90591883,90886568,90990986,91087868,91286646,91288990,91496646,91954149,92275466,92403548,92420864,93366133,93453788,93592293,94125053,94291953,94483005,94483590,94538781,94797856,95446346,95458565,95484193,95737758,96230066,96851912,96983228,97434369,97475130,97784565,97786706,97931640,99323228,99328946,99349989,99399848,99430981,99797250,...,2879386292710458054157360051358155531639752458866858243159819956160554637762481902457961632533546981193161853807849905027221666033142658230761649386803531167920397025178986587379647160861745436646661512016898688511573876502612598371473717484456643495540670319382107483957188561991223720920242837863022707057625745949881857949915057084477454499052964628263316031132847717193076565470951446779253696995191316403651825928392217021430866697034579858869970066653311372096361535523555131198747437750948532738543085665568050269772850088294998994735246941304244725124739507439978842504607241037419831894222670420302586947069098511229461741548186243078145177615060758641908058154811719116325306796070995984253181526754182748254515076875757325290395659100894628074942326662216110747527496342815951530954684956040068491052914418316012762874345976710358401539240396360487797662420900261192111292328751822709149760156296302497505414074710329098668591216916974894613936462455808826402578073105419966712459851122202936467210026425986150417659653079102946722301410365619061779390900457945837382895085149916989939549978298786978331306875559387428895941816389785837436498519624481988785139317210459331949593268230655819771879423335787898981663717657120009209083958040289491063241293517535142091458534508210143919141215074217572030785536118181813817057797822001306432131716680778744197730753398911190481358815866685498908702845819627362078809631611212929683291789383667100834223361522104223536572497461289628838185271849671841712398352292020402743148746303272187128751624442512149433788968813414663521750700181913903089904835088853176113751606647488301469861872005739171401927631374079240977755162840322467572835397979997835689341336553158095997646566527105916808999222458914770103072238431788399513572990764478133213678958314130607734686084572103011649271145781240720816150504136715557513881185934581295474986732254350484520128442749206109989701424034543797085509792458002274990409027144647922825683072324082525970864920749150388021400777618441394710274306499945031483030041152273528682940893290671397532101889487417416772450236673407416486968162780552150368920611500528434877049977497806248462028556830369774382547688947451686875600658278344320868804004423849285962246881584944530129239492729699330646897716805030855317939234602492689192908515706960473834045204610173421003913186564302902000780804730492016885688406570078047949312449611487754037902279825421649704465538582099102818286272323388525787281358211778281075023805469550403447994439601668521712757669759496415490872265579145565179362672806608472903609936309452167694601218064482161268492748390522256891367723171636631392215143879277779391582589326536026779535775585923887323479062024414459587858088982569521421819179982899059702579029264291529892786376233261737837595748738465733601732527967604417795936860068093820232312689394230364408898532008881060892722595010647380362505845443458196105924175344461919464933712390946925513076522942690929248382623521602033345772191996683535875195524}
19037   6830801258365644507997920710569672008074158719459591242180994373720075: {19037,152248,171279,1806235,2167482,2186035,2262547,2623242,2718859,2945155,3232210,3472059,3534186,3554683,3857203,3878652,4601146,5029435,5056394,5510290,5597035,5681299,6035322,6137323,6425042,6612348,6716442,6920035,6920732,7223420,8304042,8668104,9048284,9422623,9614506,9751617,9812143,9886760,10689235,10873148,10982578,11008207,11061259,11122605,11712008,11864112,12827082,12926120,13176009,13228363,13347126,13460890,13587339,13972783,14541885,14963347,15159427,15378235,15511344,15587067,15685725,15726010,15961339,16153068,16313035,16464943,16731440,17330383,17450262,17891539,18179635,18400712,18453882,18772988,18822870,18871212,19564377,19575642,19660483,20077728,20700801,20881659,21218522,21253039,21376210,21529435,21815562,22196667,22267663,22457635,22587444,22681483,23290925,23508859,23513227,24473288,24757690,24976364,25187743,25559503,25651452,25835322,25947285,26313547,26401903,26529835,26684474,26949162,27532449,27623263,27677104,27780259,27949110,28155932,28760803,28870394,29197327,29295235,29709228,29812384,29877967,30014139,30657907,30737553,30889625,30950155,31001882,31136742,31769672,31835802,31949067,32483923,32586763,32776725,32968435,33123667,33234699,33272750,33517243,33538932,33555567,33593768,33772627,34402747,34643983,34654063,34961840,35042083,35154282,35567084,35680520,35740881,35908268,35982490,36301723,36466106,36592325,36879283,37067550,37140186,37155067,37792989,38031754,38291887,38446063,39332070,39538720,39562122,39927300,39927567,40140585,40222760,40243899,40463228,40751263,40811635,41243420,41524147,41718835,41910764,41954208,42203827,42589120,42682810,42816624,43178988,43797010,43910790,43934899,44336559,44434435,44481060,44530618,44800159,44962959,45250605,45518155,45640609,45738058,46123759,46222042,46370012,46525179,46838176,46920223,47012746,47141035,47198484,47349643,47446464,47532500,47751164,47912760,48166459,48168702,48246610,48267312,48436723,48829939,48973962,49323567,49391023,49492104,50062602,50665082,50810120,50870667,51106944,51219372,51682234,52192003,52274750,52556412,52684690,52692948,52706155,53069793,53196643,53297805,53321322,53377272,53418139,53599442,53641839,53901855,54128108,54300726,54621786,54671635,55173819,55206835,55469947,55477052,55501963,55678617,56569242,56681324,56850992,56988235,57039000,57128203,57161385,57309519,57495312,57638287,57734684,57895932,57967603,58055155,58094107,58216090,58346959,59119868,59320210,59739739,59840732,59872520,60007435,60049431,60137948,60342159,60716155,60841600,60972144,61256299,61272163,61850379,62273923,62687983,62729700,62752719,63132703,63178325,63214063,63221628,63247386,63368155,63387338,63718543,63957366,64071439,64168875,64360939,64428859,64584092,64682226,64836634,64904227,64960978,65200870,65605962,65835235,65857039,65990323,66248202,66911680,67028890,67174267,67204844,67356585,67434549,67493359,67943635,68082283,68226908,68385882,68446800,68468179,68476232,68593662,68798218,69014667,69666186,69735434,69859308,70196619,70216543,70491567,70625563,71164058,71169619,71184252,71259427,71297743,71346379,71847024,71922812,72008922,72522187,72859386,73009920,73021738,73166659,73530163,73712035,74025482,74415307,74755183,74756155,75161323,75275640,75656659,75782287,75813990,75870993,76041786,76060939,76635579,77002650,77035761,77877248,78084399,78241044,78399235,78472328,79002282,79139165,79525747,79747723,79924442,80127835,80136643,80279225,80294016,80434668,80827902,80868256,80965839,80973320,81489739,81532362,82112367,82136160,82340410,82478120,82541155,82948124,83757883,83862547,84685095,84745423,85486760,85681219,85690185,85740908,86376643,86381067,86974867,87611904,87686155,87860506,88074939,88088239,88184138,88184684,88260787,88281369,88454442,88558459,88710835,89393155,89707386,89756623,89902543,89940403,90254750,90321339,90330768,90553340,90554959,90706748,90976788,91026490,91094985,91250959,91265594,91402864,91458043,91776235,91997067,92159263,92403180,92787885,93144100,93872218,94079082,94271890,94490155,94496079,94966998,95100005,95110687,95336155,95590354,95826139,95880218,96006920,96152367,96153402,96172605,96335070,96478124,97167984,97318963,97529503,97649554,97663147,98036635,98086927,98237002,98250883,98563392,98788627,98808492,98878435,98973744,99049386,99313423,99362588,99383035,...,4319079439065687081236040077037233297459628688300287364739729934240831956643722853686942448800320471789742780711774857540832499049713987346142474080205296751880595537768479881069470741292618154969992268025348032767360814753918897557210576226684965243311005479073161225935782842986835581380364256794534060586438618924822786924872585626716181748579446942394974046699271575789614848206427170168880545492786974605477738892588325532146300045551869788304955099979967058144542303285332696798121156626422799107814628498352075404659275132442498492102870411956367087687109261159968263756910861556129747841334005630453880420603647766844192612322279364617217766422591137962862087232217578674487960194106493976379772290131274122381772615313635987935593488651341942112413489993324166121291244514223927296432027434060102736579371627474019144311518965065537602308860594540731696493631350391788166938493127734063724640234444453746258121112065493648002886825375462341920904693683713239603867109658129950068689776683304404700815039638979225626489479618654420083452115548428592669086350686918756074342627724875484909324967448180467496960313339081143343912724584678756154747779436722983177708975815688997924389902345983729657819135003681848472495576485680013813625937060434236594861940276302713137187801762315215878711822611326358046178304177272720725586696733001959648197575021168116296596130098366785722038223800028248363054268729441043118214447416819394524937684075500651251335042283156335304858746191934443257277907774507762568597528438030604114723119454908280693127436663768224150683453220121995282626050272870854634857252633279764170627409971232452204792808008608757102891447061118861466632744260483701359253096969996753534012004829737143996469849790658875213498833688372155154608357647682599270359486146717199820518437471195911602029126858154517473906718671861081224225756205073336270821778901871943212480098381525726780192664123809164984552136051815695628264688687003412485613540716971884238524608486123788956297381123725582032101166427662092065411459749917547224545061728410293024411339936007096298152834231126125158675355010111124730452244170828225553380917250792652315574966246709372693042835245554661573821533421177530313400987417516481303206006635773928943370322377416795193859239094548995970346575207546282976908851903739033789362773560440710751067806915260131505869779846454353001171207095738025328532609855117071923968674417231631056853419738132474556698307873148654227429408485082788680922037317667421612535708204325605171991659402502782569136504639244623236308398368718347769044009209912709355414904464178251541901827096723241902739122585783385337051584757454947088322715818916669087373883989804040169303663378885830985218593036621689381787133473854282132728769974348589553868543896437294839179564349892606756393623107698600402598791951406626693905290102140730348469034091345546613347798013321591339083892515971070543758768165187294158886263016692879197400568586420388269614784414036393872573935282403050018658287995025303812793286}
19038   6857987236295655473517704367963076630264327985246216189704842440696507: {133217,190310,228372,551261,703037,874598,1119761,1497761,2401697,2626961,2889976,3251223,3372566,3375761,3497656,3748961,3934863,4530077,4629412,4712248,4715537,4848315,5171536,5178326,5270717,5301279,5750417,5817978,6302237,6302246,6485777,6705761,6852257,6901719,7422566,7473437,7584591,7837757,8047096,8265435,8650915,8762198,8816464,8955256,8984966,9029275,9052983,9250961,9637563,9647357,9874598,9918522,10074663,10248007,10293917,10381098,10651997,10830737,10835130,10983398,11044961,11072056,11310355,11557472,11792477,11867846,12111761,12358450,12456063,12995261,13002156,13312097,13572426,13591435,13733537,14048861,14363537,14421759,14640010,14747261,14830140,14956157,15060497,15268961,15581117,15601046,15818816,16100623,16157650,16309722,16444817,16473398,16473867,16513697,16651361,16691126,17029277,17102776,17568012,17645597,17796168,17884577,17986877,18116452,18870461,18904337,19073597,19240623,19389180,19883261,20017757,20020689,20191335,20219261,20681792,20782756,20914300,21189137,21414127,21422237,21537424,21873398,21920417,22218461,22680797,22878461,22911377,23000890,23075837,23267016,23466235,23589015,24217466,24229602,24384317,24605176,25070198,25097160,25161616,25163261,25324961,25647761,26085836,26098337,26100856,26175393,26290961,26770304,27090461,27377057,27440657,27601068,27680823,27798463,27842212,28011617,28159482,28201361,28232957,28234305,28306818,28485437,29087416,29363463,29394547,29427677,29595556,29802557,30116592,30207377,30591610,31220455,31506017,31751777,31827783,32064315,32119457,32196326,32241761,32577437,32723343,33033617,33881166,34030877,34201936,34241297,34260566,34331357,34447096,34481297,34596380,35194915,35287286,35322859,35732897,35932216,36117437,36709932,37136535,37146017,37265480,37464546,37736726,37787537,38454077,38477178,38627261,38752983,39058961,39173777,39358166,39603197,39612304,39660317,39712090,39774461,40018852,40026711,40423743,40983404,41021597,41515656,41923665,41992210,42058337,42141917,42233898,42447736,42598756,42614177,42973757,43028957,43305591,43524317,43702300,43769606,43798397,43962461,44098961,44312932,44371361,44458855,44563842,44600650,44718576,44740756,44885335,45318461,45751766,46149137,46343606,46502823,46705113,46760477,46872376,47156897,47654508,47708861,47735057,47753703,48307046,48595037,48983057,49137761,49423400,49520248,49651361,49672886,49744618,49881437,49909125,50256086,50278450,50308398,50390652,50579035,50644166,50946557,51047261,51323537,51554275,51573857,51922961,51947837,52022417,52388455,52442760,52665761,52731423,52749496,52813457,53034461,53058977,53236400,53236756,53350626,53520780,53658532,53862402,53863517,53973735,54008861,54302198,54493286,54515297,54699159,54707297,54874877,55232657,55601325,55710279,55938944,56013437,56396246,56482397,56855261,56971361,57047631,57088832,57202961,57456797,57525857,57548861,57571984,57663761,57870077,57962515,58144157,58485137,58547720,58779197,58914461,58998105,59115412,59116817,59223686,59228957,59308080,59343183,59385617,59415625,59564177,59688955,59777146,59890950,59916703,59950612,60229217,60334140,60383357,60694842,61148177,61234961,61865130,61881761,62033572,62436497,62500157,62754077,62866146,62931312,62943761,63069857,63261952,63342077,63496166,63512650,63778961,63883680,64024215,64224936,64356416,64414886,64499261,64768482,64886177,65229917,65298616,65512598,65611361,65695515,65764756,65866185,65910461,65989472,66326177,66721590,66750136,66777437,66795927,66894461,66913937,67301777,67660135,67827556,68142592,68219537,68234198,68238461,68292496,68502557,68607087,68634017,68663287,68914397,69174461,69333063,69346315,69555018,69561617,69744737,69799517,69890657,70072337,70075216,70257264,70271261,70519119,70540961,70759724,70797726,70851655,71063740,71095096,71101526,71145617,71169696,71298750,71522452,71626746,71775761,71869140,71931677,72035261,72168355,72224417,72253053,72369915,72400968,72633761,72650717,72698198,72829048,72887261,73205777,73239137,73460943,73565092,73801361,73899835,73981277,74225057,74238156,74283206,74458598,74467037,74800915,74840650,75008861,75093903,75103517,75172435,75425656,75556961,75572477,75696317,75997623,76034237,76052000,76110497,76204598,76215180,76338077,76412692,76623761,76660416,76829058,76936157,77157137,77194576,77230397,77274257,77361761,77523351,77794961,77936198,78412125,78431261,78487037,78777761,78834618,79027035,79039422,79064957,79132817,79575677,79708157,79787261,79905377,79970717,79977506,79981983,80065908,80242961,80336246,80358557,80399163,80456212,80676257,80730115,80751761,80864477,81050897,81186461,81192162,81296192,81308861,81442577,81451089,81623357,81778577,81802337,81932679,81979517,82305437,82431761,82443197,82467172,82613777,82715261,82871837,83004797,83215578,83364497,83439677,83639600,83670292,83883398,84006055,84050726,84098657,84250877,84271037,84295504,84329848,84401297,84549917,84608861,84657761,84853863,84899261,84968983,85003937,85021986,85266017,85276488,85283635,85284497,85403837,85558500,85595290,85716086,85718417,85780157,85902461,86192957,86242968,86334737,86367761,86482337,86490461,86602026,86698877,86722577,86730461,86843898,86894177,87076961,87188861,87255137,87324135,87364157,87400097,87474616,87513761,87795677,87859526,87882257,87915197,87921761,88012817,88051361,88152737,88330936,88337297,88479761,88543517,88566461,88600637,88612951,88679802,88728977,88794257,88815761,88847777,88980315,89050423,89195261,89329937,89427617,89647037,89650961,89731517,89761098,89783261,89808780,89850977,89888861,89903515,89909117,89912732,89952017,89999837,90063761,90178397,90206922,90211937,90308861,90311057,90340961,90343037,90371261,90443261,90465437,90475937,90497117,90501137,90508961,90515261,90522557,90526097,90542717,90571361,90579677,90582461,90591197,90601361,90604637,90610577,91181176,91262400,91431446,91458216,92019556,92073398,92569267,92888248,93145744,93509366,93595492,93826886,93988756,94094550,94618166,94832442,94871079,94912336,95081007,95248598,95405846,95796032,95936049,96011896,96876138,97023339,97145848,97254951,97346560,97441467,97801305,98090410,98408943,98716519,99181831,99372303,...,6478619158598530621854060115555849946189443032450431047109594901361247934965584280530413673200480707684614171067662286311248748574570981019213711120307945127820893306652719821604206111938927232454988402038022049151041222130878346335815864340027447864966508218609741838903674264480253372070546385191801090879657928387234180387308878440074272622869170413592461070048907363684422272309640755253320818239180461908216608338882488298219450068327804682457432649969950587216813454927999045197181734939634198661721942747528113106988912698663747738154305617934550631530663891739952395635366292334194621762001008445680820630905471650266288918483419046925826649633886706944293130848326368011731940291159740964569658435196911183572658922970453981903390232977012913168620234989986249181936866771335890944648041151090154104869057441211028716467278447598306403463290891811097544740447025587682250407739691601095586960351666680619387181668098240472004330238063193512881357040525569859405800664487194925103034665024956607051222559458468838439734219427981630125178173322642889003629526030378134111513941587313227363987451172270701245440470008621715015869086877018134232121669155084474766563463723533496886584853518975594486728702505522772708743364728520020720438905590651354892292910414454069705781702643472823818067733916989537069267456265909081088380045099502939472296362531752174444894195147550178583057335700042372544581403094161564677321671125229091787406526113250976877002563424734502957288119287901664885916861661761643852896292657045906172084679182362421039691154995652336226025179830182992923939075409306281952285878949919646255941114956848678307189212012913135654337170591678292199949116390725552038879645454995130301018007244605715994704774685988312820248250532558232731912536471523898905539229220075799730777656206793867403043690287231776210860078007791621836338634307610004406232668352807914818720147572288590170288996185713747476828204077723543442397033030505118728420311075457826357786912729185683434446071685588373048151749641493138098117189624876320836817592592615439536617009904010644447229251346689187738013032515166687095678366256242338330071375876188978473362449370064059039564252868331992360732300131766295470101481126274721954809009953660893415055483566125192790788858641823493955519862811319424465363277855608550684044160340661066126601710372890197258804669769681529501756810643607037992798914782675607885953011625847446585280129607198711835047461809722981341144112727624183021383055976501132418803562306488407757987489103754173853704756958866934854462597553077521653566013814869064033122356696267377312852740645084862854108683878675078005577377136182420632484073728375003631060825984706060253955495068328746477827889554932534072680700210781423199093154961522884330802815844655942258769346524838910134590434661547900603898187927109940040857935153211095522703551137018319920021697019982387008625838773956605815638152247780941238329394525039318796100852879630582404422176621054590808860902923604575027987431992537955719189929}
19039   6885280633595860748137279775587962330101803797617402063573084123918742: {38074,285465,304496,342558,1311897,2528729,3060449,3213197,3612470,3972881,4123217,4200989,4334964,4372070,4525094,5058849,5246484,5437718,5786765,5890310,6464420,6859361,6944118,7041209,7068372,7109366,7714406,7757304,7767489,7835849,8726967,9202292,9453369,9688049,10058870,10112788,11020580,11133849,11194070,11362598,11596169,12070644,12274646,12850084,13072397,13143297,13224696,13432884,13477449,13840070,13841464,13873649,14446840,14784641,14811897,14877783,14964929,15571647,16151129,16252695,16475097,16513289,16608084,16942889,17062121,17336208,17801769,18096568,18537675,18764297,18845246,19229012,19458569,19503234,19624286,19773520,20358029,20358639,21378470,21529529,21746296,21960015,21965156,21973481,22016414,22122518,22245210,22645565,22683881,22838249,23401569,23424016,23728224,24236475,24464583,24710097,25036689,25451489,25654164,25852240,25978445,26142875,26279489,26316329,26352018,26456726,26694252,26805389,26921780,27174678,27783197,27945566,29083770,29926694,30141209,30163769,30318854,30756470,31022688,31174134,31202249,31371450,31440689,31452020,31922678,32306136,32607295,32626070,32810097,32929886,33127169,33462880,34501335,34660766,34802765,34900524,35045789,35783078,35828777,36305561,36326199,36344403,36359270,36801424,36907764,36994445,37020569,37141769,37545976,37605297,37645740,37742424,38450129,38511629,39128754,39151284,39164681,39320966,40155456,40942889,41013329,41401602,41763318,42208289,42239223,42437044,42460227,42506078,42752420,43058870,43245475,43330217,43631124,44393334,44535326,44804897,44915270,45174888,45362966,45887415,46155809,46581850,47017718,47026454,48294489,48946576,49515380,49804337,49952728,50023565,50375486,50821749,51119006,51229255,51302904,51390849,51670644,51894570,52197521,52258289,52627094,52803806,52930929,53059670,53202269,53248445,53368948,53898324,54135161,54509897,54627875,55064898,55246526,55354208,55391165,55560518,55898220,55914617,55925945,55958669,56196819,56311864,56605089,56865377,56923997,57136289,57521606,57715767,57740788,58100249,58371209,58394654,58406369,58590470,59037249,59418456,59568135,59624768,59755934,60028278,61278641,61315814,61475106,61779250,61900310,62003764,62208209,62273484,62280509,62988315,63350847,63539344,63671604,63725417,63859721,63898134,64261049,64787321,64911089,64967846,65173526,65553450,65593229,65654409,65936870,65997449,66247334,66469398,66545500,66545945,66845763,66900975,67034486,67073165,67077864,67111134,67181369,67187536,67500497,67515149,67545254,68089481,68099849,68627649,68805494,68955497,69287537,69287966,69308126,69515409,69923680,70084166,70223969,70308564,70390157,71134168,71361040,71481762,71708681,71816536,71964980,72024089,72460569,72603446,72932212,73161149,73174397,73184650,73758566,73788617,73894265,74135100,74280372,74310134,74509329,74616927,74707529,74763089,74938265,75334457,75384129,75417675,75462597,75585978,75966249,76063508,76143197,76540289,76583774,76892126,77289257,77289569,77541965,78664140,78827729,79077440,79124244,79642889,79783529,79854600,79855134,80025939,80281170,80445520,80487798,80793603,80926456,81054209,81277217,81306521,81453297,81502526,81623270,81739929,82205945,82486840,82583561,83048294,83170049,83437670,83821528,83908416,84010409,84260969,84407654,84594369,84784445,85002617,85178240,85365620,85633248,86357976,87109721,87594020,87821580,87869798,88449655,88673118,88715417,88829675,88835529,88868870,88962120,89061236,89403065,89600318,89665719,89836425,89925918,90501210,91036310,91042263,91074281,91281218,91476116,91956365,92169329,92247518,92435009,92444084,92740024,92797695,93050358,93676352,93728729,93840446,94025492,94247309,94282070,94299219,94396968,94699286,94892928,95065000,95121089,95244249,95268975,95502328,95515865,95825520,96332918,96337404,96389297,96493220,96534624,96538601,96622329,96873446,97152723,97659878,97947924,98268897,98644409,98647134,98782046,98951129,98984208,98986589,99324137,...,8638158878131374162472080154074466594919257376600574729479459868481663913287445707373884897600640943579485561423549715081664998099427974692284948160410593503761191075536959762138941482585236309939984536050696065534721629507837795114421152453369930486622010958146322451871565685973671162760728513589068121172877237849645573849745171253432363497158893884789948093398543151579229696412854340337761090985573949210955477785176651064292600091103739576609910199959934116289084606570665393596242313252845598215629256996704150809318550264884996984205740823912734175374218522319936527513821723112259495682668011260907760841207295533688385224644558729234435532845182275925724174464435157348975920388212987952759544580262548244763545230627271975871186977302683884224826979986648332242582489028447854592864054868120205473158743254948038288623037930131075204617721189081463392987262700783576333876986255468127449280468888907492516242224130987296005773650750924683841809387367426479207734219316259900137379553366608809401630079277958451252978959237308840166904231096857185338172701373837512148685255449750969818649934896360934993920626678162286687825449169357512309495558873445966355417951631377995848779804691967459315638270007363696944991152971360027627251874120868473189723880552605426274375603524630431757423645222652716092356608354545441451173393466003919296395150042336232593192260196733571444076447600056496726108537458882086236428894833638789049875368151001302502670084566312670609717492383868886514555815549015525137195056876061208229446238909816561386254873327536448301366906440243990565252100545741709269714505266559528341254819942464904409585616017217514205782894122237722933265488520967402718506193939993507068024009659474287992939699581317750426997667376744310309216715295365198540718972293434399641036874942391823204058253716309034947813437343722162448451512410146672541643557803743886424960196763051453560385328247618329969104272103631391256529377374006824971227081433943768477049216972247577912594762247451164064202332855324184130822919499835094449090123456820586048822679872014192596305668462252250317350710020222249460904488341656451106761834501585304631149932493418745386085670491109323147643066842355060626801974835032962606412013271547857886740644754833590387718478189097991940693150415092565953817703807478067578725547120881421502135613830520263011739559692908706002342414191476050657065219710234143847937348834463262113706839476264949113396615746297308454858816970165577361844074635334843225071416408651210343983318805005565138273009278489246472616796737436695538088018419825418710829808928356503083803654193446483805478245171566770674103169514909894176645431637833338174747767979608080338607326757771661970437186073243378763574266947708564265457539948697179107737087792874589678359128699785213512787246215397200805197583902813253387810580204281460696938068182691093226695596026643182678167785031942141087517536330374588317772526033385758394801137172840776539229568828072787745147870564806100037316575990050607625586572}
19040   6912681871653561732470125491233977716741602175375561521989193750359741: {57111,266434,380620,456744,513837,589279,1102522,1157719,1271191,1406074,1749196,2239522,2401951,2995522,3413479,4803394,5253922,5308231,5418705,5779952,6502446,6523159,6558105,6745132,6751522,6787641,6995312,7072519,7497922,7869726,8080525,8156577,8492431,8835465,9035311,9060154,9251959,9258824,9424496,9431074,9684391,9696630,10115671,10343072,10356652,10416177,10541434,10602558,10664049,11081839,11188831,11295751,11500834,11502865,11571609,11635956,11829271,12111281,12148519,12360991,12604474,12604492,12640985,12971554,13313551,13411522,13419031,13524439,13704514,13735039,13775725,13803438,14365111,14783719,14845132,14946874,14992591,15088305,15096919,15169182,15617479,15675514,15834497,16062605,16094192,16446631,16530870,16653199,16791105,17043897,17301830,17524396,17632928,17886559,17910512,17969932,17988871,18058550,18105966,18411969,18501922,18906439,19028009,19109551,19210999,19275126,19294714,19749196,19837044,20019991,20149326,20221519,20496014,20587834,20760105,20762196,21303994,21424639,21624151,21661474,21670260,21966796,22089922,22144112,22220959,22620710,22716319,22913959,23111311,23114944,23505151,23584954,23735692,24036265,24223522,24387079,24716900,24912126,25650679,25843999,25990522,26004312,26133439,26624194,26806279,26997871,27093559,27144852,27182870,27456445,27467074,27856471,28046479,28097722,28236199,28267869,28727074,28803631,28843518,28897951,29254851,29280020,29436429,29462359,29494522,29660280,29837191,29912314,30117559,30120994,30210871,30537922,30769231,31047439,31162234,31202092,31509679,31637632,32067705,32153791,32201246,32315300,32619444,32852729,32889634,32946796,32947734,33024621,33027394,33067831,33183777,33302722,33367815,33382252,33652225,33884311,33974671,34058554,34064959,34205552,34245319,34515319,34874311,35136024,35291194,35592336,35766751,35769154,35973754,36121711,36232904,36475519,37740922,37808674,38147194,38227279,38400871,38481246,38660719,38778360,39085057,39092359,39178471,39315025,39528027,39685089,39693631,39766522,39779239,40035514,40041378,40382670,40438522,40461511,40762017,40885591,40970191,41363584,41565512,41644399,41745197,41828600,41918349,42378274,42647071,42828254,42844474,43074848,43557079,43625655,43708637,43721599,43746796,43803751,43840834,44213431,44436922,44890041,45027391,45350959,45361594,45478281,45756922,45822754,46001780,46134705,46151674,46154839,46234831,46534032,46761201,46932470,47057175,47178030,47504911,47740999,47884017,48434932,48459204,48756559,48768634,48939105,48989191,49210352,49272881,49394829,49683199,50140396,50194320,50218951,50323232,50326522,50447479,50649922,50902591,51295522,51355111,51954439,51991149,52029031,52103551,52171672,52196674,52201712,52350786,52581922,52697119,52844791,53046305,53065759,53440525,53540608,53578831,53674617,53870431,54180922,54377959,54538905,54738319,54754114,54881314,54953671,55202136,55361646,55596926,55684424,55737751,56023234,56318964,56402722,56465914,56468610,56613636,56653159,56862679,56970874,57071551,57141031,57556399,58174591,58174832,58447471,58515511,58693131,58726926,58789094,58855354,58981449,59191112,59259199,59605114,59794591,60233184,60414754,60457351,60786031,61178071,61183220,61373119,61825711,61894225,62102403,62242397,62440910,62529799,62644977,62783671,62839469,62973319,63012034,63099391,63503554,63655566,63663151,63759117,63973831,64128630,64238914,64392652,64483522,64588305,64895071,65154874,65259031,65446686,65500231,66038719,66067234,66335359,66453511,66590001,66630199,66711185,66802989,66806239,66923239,67372905,67762332,67963279,68044449,68061754,68248039,68403872,68482594,68521132,68662714,68894192,68962594,69192760,69589831,69809431,69872775,69918799,70299319,70389830,70526577,70539681,70574572,70645718,70810649,70890151,71155831,71261599,71465794,71681791,71864432,72045679,72175985,72234874,72252031,72661279,73216471,73343837,73419864,73713631,73762951,74008471,74057359,74273070,74292034,74494111,74530960,74686351,74929092,74972551,75443791,75473452,75563229,75575074,75583759,75723079,76045639,76364671,76409959,76678509,76724959,76908154,76947799,76954356,77212831,77254522,77300599,77388079,77504705,77505966,77841855,78117922,78289231,78347554,78499111,78707191,78716332,78748591,78940641,79077199,79158631,79205709,79206394,79224608,79280239,79320634,79424180,79548922,79589505,79601359,79680919,79720591,80037704,80053422,80113351,80268439,80498911,80537071,80847486,81026599,81063751,81147521,81211639,81684319,81827311,81966808,82043194,82144831,82214599,82456519,82597347,82869789,83029351,83031312,83181875,83340777,83388919,83564537,83676631,83847330,83984420,84112591,84116674,84234559,84264871,84283834,84467796,84622999,84895472,85140751,85197512,85228354,85280431,85308151,85335799,85688671,85741879,85794799,85925839,85947514,86057914,86282409,86505439,86611182,86698111,86745559,86839591,86955511,87048634,87270511,87401191,87404600,87465559,87508111,87539212,87591981,87596794,87634039,87885705,87897991,87924922,87937519,88092751,88197922,88298671,88478311,88616839,88625864,88742722,88832119,88911679,88917710,89065399,89110111,89127684,89168719,89183191,89201300,89211919,89268511,89323951,89351239,89437152,89470471,89481512,89633901,89644351,89668039,89714551,89748679,89770670,89857759,89956225,89969431,89988799,90017311,90042417,90198751,90281119,90295159,90328999,90361039,90425191,90446359,90461479,90480631,90498631,90515479,90589999,90599071,90613759,90615271,90620599,90623839,90636922,91165265,91503532,91973721,92212659,92298274,92668875,92687212,92850465,93005646,93410226,93520954,93744752,94313794,94724189,95079385,95309016,95417722,95470114,95507406,95847201,96614092,97084841,97190074,97451769,97760289,97966114,98275522,98330175,98846800,98905305,99040496,99192317,99302722,99345772,99371001,99489236,99704097,99762874,99818250,...,12957238317197061243708120231111699892378886064900862094219189802722495869931168561060827346400961415369228342135324572622497497149141962038427422240615890255641786613305439643208412223877854464909976804076044098302082444261756692671631728680054895729933016437219483677807348528960506744141092770383602181759315856774468360774617756880148545245738340827184922140097814727368844544619281510506641636478360923816433216677764976596438900136655609364914865299939901174433626909855998090394363469879268397323443885495056226213977825397327495476308611235869101263061327783479904791270732584668389243524002016891361641261810943300532577836966838093851653299267773413888586261696652736023463880582319481929139316870393822367145317845940907963806780465954025826337240469979972498363873733542671781889296082302180308209738114882422057432934556895196612806926581783622195089480894051175364500815479383202191173920703333361238774363336196480944008660476126387025762714081051139718811601328974389850206069330049913214102445118916937676879468438855963260250356346645285778007259052060756268223027883174626454727974902344541402490880940017243430031738173754036268464243338310168949533126927447066993773169707037951188973457405011045545417486729457040041440877811181302709784585820828908139411563405286945647636135467833979074138534912531818162176760090199005878944592725063504348889788390295100357166114671400084745089162806188323129354643342250458183574813052226501953754005126849469005914576238575803329771833723323523287705792585314091812344169358364724842079382309991304672452050359660365985847878150818612563904571757899839292511882229913697356614378424025826271308674341183356584399898232781451104077759290909990260602036014489211431989409549371976625640496501065116465463825072943047797811078458440151599461555312413587734806087380574463552421720156015583243672677268615220008812465336705615829637440295144577180340577992371427494953656408155447086884794066061010237456840622150915652715573825458371366868892143371176746096303499282986276196234379249752641673635185185230879073234019808021288894458502693378375476026065030333374191356732512484676660142751752377956946724898740128118079128505736663984721464600263532590940202962252549443909618019907321786830110967132250385581577717283646987911039725622638848930726555711217101368088320681322132253203420745780394517609339539363059003513621287214075985597829565351215771906023251694893170560259214397423670094923619445962682288225455248366042766111953002264837607124612976815515974978207508347707409513917733869708925195106155043307132027629738128066244713392534754625705481290169725708217367757350156011154754272364841264968147456750007262121651969412120507910990136657492955655779109865068145361400421562846398186309923045768661605631689311884517538693049677820269180869323095801207796375854219880081715870306422191045407102274036639840043394039964774017251677547913211631276304495561882476658789050078637592201705759261164808844353242109181617721805847209150055974863985075911438379858}
19041   6940191373497172843496729591558310929749787392913290327873129804818903: {76148,399651,475775,570930,608992,685116,1653783,2109111,2186495,2623794,3359283,3555431,4493283,4695223,5057458,6061319,6120898,6426394,7205091,7224940,7429391,7880883,7945762,8101471,8246434,8401978,8431415,8669928,8744140,9050188,9753669,10117698,10127283,10492968,10875436,11246883,11573530,11780620,11804589,12928840,12945815,13590231,13718722,13888236,14082418,14136744,14146611,14218732,14544945,14806979,15428812,15505843,15514608,15534978,15671698,15755615,15812151,15903837,17251251,17298611,17453934,18238819,18404584,18556415,18906711,18906738,19376098,19457331,20117283,20117740,20225576,20556771,20705157,21762031,21905495,22041160,22267698,22388140,22420311,22462415,22725196,22753773,23192338,23513271,23513831,24141288,24549292,24686495,24796305,25700168,25727363,25952745,26144794,26286594,26449392,26808223,26865768,26954898,27087825,27158949,27233459,27458495,27680140,27682928,27747298,27752883,28893680,28912689,28942071,29139983,29569282,29623794,29669615,29755566,29929858,30223989,30744021,30881751,30896125,30940451,31143294,31703791,31870079,31955991,32302258,32492211,32505390,32950194,33026578,33134883,33216168,33885778,33931065,34124242,34410023,34672416,35377431,35603538,36193136,36328031,36335283,36369823,36600025,37024483,37075350,37368189,37528594,37690492,38458024,38917138,38985783,39002615,39006468,39168823,39248572,39547040,39580739,39936291,40394125,40716058,40717278,40774305,41171831,41183495,41200611,41727815,41853923,42146583,42756940,43059058,43090611,43265277,43492592,43920030,43930312,43944191,43946962,44032828,44241783,44245036,44490420,44868471,45181491,45291130,45367762,45650213,45676498,45806883,46539971,46743351,46803138,46848032,46951091,47456448,48176711,48301869,48472950,48723871,48929166,49334451,49420194,49421601,49541091,49954083,50073378,50902978,51087831,51308328,51704480,51792223,51956890,52285750,52558978,52632658,52704036,52913452,52936791,53071271,53388504,53610778,53653731,53843560,53960631,54349356,54683495,55390319,55566394,55891132,56611383,56713011,56871391,57220791,57502225,57721869,57953159,58167540,58406323,58859671,59649783,59853388,60053271,60062067,60282418,60327538,60543665,60574005,60637708,60657783,61512940,61932023,62045376,62348268,62404498,62675495,62742900,62881378,62904040,63567411,63845356,64037699,64242381,64266711,64267843,64374551,64612272,64664063,65214590,65252140,65252231,65620194,65761251,65859772,66080911,66254338,66655383,66925760,68042391,68635383,68734131,69002670,69006239,69227511,69321532,69605530,69801048,70032991,70091578,70397599,70398705,70767045,71184671,71566156,71657554,71720957,72537623,72611122,72652398,72688806,72718540,73152951,73602848,73731779,73771811,73815528,73988890,74041138,74283538,74547823,75091952,75210594,75291480,75484848,75489783,75974883,76479025,76900258,76943283,77023258,77297431,77547631,77560163,78257508,78260759,78295011,78296323,78302568,78329362,78526179,78641932,78872883,79218179,80104391,80310912,80490815,81271383,81768343,81885271,81885778,82026658,82131171,82321971,82803204,83042469,83395389,83526636,84034851,84416578,84478446,84604083,84698871,84702915,84746623,84874088,84920454,85012156,85456311,85504840,85651415,86117740,86490950,86660434,87262248,88090389,88183641,88218215,88278979,88283031,88786668,89031631,89070652,89146583,89407671,89535311,89609794,89830540,90349776,90574451,90622131,90725932,91774830,92311618,92548403,93163700,93164323,93299111,93661365,93902431,94035436,94052908,94341815,94515263,94518051,95255331,95269859,95483349,96192945,96358371,96588978,96725283,97732311,97893152,98170029,98395415,98935631,99030760,99100851,99280225,99608674,99905456,...,19435857475795591865562180346667549838568329097351293141328784704083743804896752841591241019601442123053842513202986858933746245723712943057641133360923835383462679919958159464812618335816781697364965206114066147453123666392635039007447593020082343594899524655829225516711022793440760116211639155575403272638973785161702541161926635320222817868607511240777383210146722091053266816928922265759962454717541385724649825016647464894658350204983414047372297949909851761650440364783997135591545204818902595985165828242584339320966738095991243214462916853803651894591991675219857186906098877002583865286003025337042461892716414950798866755450257140777479948901660120832879392544979104035195820873479222893708975305590733550717976768911361945710170698931038739505860704969958747545810600314007672833944123453270462314607172323633086149401835342794919210389872675433292634221341076763046751223219074803286760881055000041858161545004294721416012990714189580538644071121576709578217401993461584775309103995074869821153667678375406515319202658283944890375534519967928667010888578091134402334541824761939682091962353516812103736321410025865145047607260631054402696365007465253424299690391170600490659754560556926783460186107516568318126230094185560062161316716771954064676878731243362209117345107930418471454203201750968611207802368797727243265140135298508818416889087595256523334682585442650535749172007100127117633744209282484694031965013375687275362219578339752930631007690274203508871864357863704994657750584985284931558688877971137718516254037547087263119073464986957008678075539490548978771817226227918845856857636849758938767823344870546034921567636038739406963011511775034876599847349172176656116638936364985390903054021733817147984114324057964938460744751597674698195737609414571696716617687660227399192332968620381602209131070861695328632580234023374865509015902922830013218698005058423744456160442716865770510866988557141242430484612233170630327191099091515356185260933226373479073360738187557050303338215056765119144455248924479414294351568874628962510452777777846318609851029712031933341687754040067563214039097545500061287035098768727014990214127628566935420087348110192177118692758604995977082196900395298886410304443378824165864427029860982680245166450698375578372366575925470481866559588433958273396089833566825652052132481021983198379805131118670591776414009309044588505270431930821113978396744348026823657859034877542339755840388821596135505142385429168944023432338182872549064149167929503397256410686919465223273962467311262521561114270876600804563387792659232564960698041444607192099367070088802131938558221935254588562326051636025234016732131408547261897452221185125010893182477954118180761866485204986239433483668664797602218042100632344269597279464884568652992408447533967826776308039574516730403771303984643701811694563781329820122573805459633286568110653411054959760065091059947161025877516321869817446914456743342823714988183575117956388302558638891747213266529863163772426582708770813725083962295977613867157569787}
19042   6967809563802566795858687291564698276108051019945268124873559877056285: {95185,114222,209341,532868,551377,761240,779041,856395,913488,1027674,1178558,1573597,2205044,2315438,2477341,2542382,2812148,3264337,3498392,3935691,4479044,4493917,4803902,5049937,5493457,5825341,5991044,6826958,7586187,8348257,9031175,9181347,9325117,9606788,9639591,9649441,10507844,10616462,10837410,10930175,11047357,11312735,11559904,11795041,11918643,12369651,12602967,12857041,13004892,13046318,13116210,13490264,13503044,13575282,13594295,13990624,14121937,14145038,14725775,14750497,14995844,15176547,15739452,16104011,16161050,16313154,16517341,16984862,17238817,17360295,17670930,17697379,17751997,17773415,18070622,18120308,18503918,18517648,18848992,18862148,19077841,19286015,19368782,19393260,19786717,20231342,20578083,20592541,20686144,20713304,20832354,21082868,21123627,21205116,21328098,22163678,22377662,22388797,22487647,22591502,23001668,23005730,23143218,23271912,23302467,23507547,23658542,24063841,24222562,24259537,24297038,24721982,25147175,25208948,25208984,25233697,25281970,25300979,25943108,26180901,26627102,26681437,26823044,26838062,27048878,27160417,27255997,27409028,27446941,27470078,27551450,27606876,27985175,28360107,28406495,28730222,29064147,29567438,29622097,29690264,29809441,29893748,29985182,30176610,30193838,30338364,30686615,31205341,31234958,31351028,31668994,32125210,32188384,32893262,33061740,33306398,33314257,33401547,33582210,33650771,34087794,34600175,34603660,34788507,35027677,35048792,35265856,35563357,35741341,35773118,35821024,35939864,35977742,36117100,36185041,36211932,36362017,36823938,37003844,37242577,37812878,38056018,38219102,38421998,38439023,38550252,38589428,39068317,39217191,39240541,39429891,39498392,39669841,39674088,39841057,40039982,40097341,40267837,40298652,40432347,40443038,40992028,41175668,41520210,41524392,41620947,42040657,42607988,42624541,42849278,42873697,43039441,43248302,43322948,43340520,43683299,43933592,44027857,44179844,44288224,44353923,44435691,44441918,44633349,44681041,44894787,45241420,45329617,45432638,45732637,45827918,46191431,46222622,46229888,46714941,46851517,47010302,47113115,47169908,47326717,47471384,47720737,48072530,48447044,48453387,48659041,48758085,48774158,49060715,49201597,49425291,49433800,49539867,49663837,49824252,50828667,51186363,51301358,51336541,51687998,51981044,52008624,52266878,52679197,52826941,53248388,53341777,53405307,53446175,53612558,53925841,53995742,54187118,54288541,54289704,54365740,54912890,54934148,55041035,55306295,55365841,55613025,55712942,56092958,56195444,56286397,56292891,56472398,56535738,57454148,57607262,57678877,57687036,57795902,58375707,58509702,58560040,58839841,58872858,58924718,58989044,59177341,59320560,59674382,59824628,60046417,60235118,60241988,60421742,60968737,61074087,61075844,61075917,61164541,61538462,62094878,62324468,62404184,62453341,62644177,62960797,63019358,63086941,63212797,63275264,63275617,64135410,64147537,64307582,64402492,64516897,64588587,64630600,64639441,64944541,65238888,65247841,65368657,65669437,65705458,65779268,65880045,65893592,65895468,65920443,66049242,66054788,66135662,66141815,66367554,66605444,66735630,66764504,67146337,67304450,67609441,67768622,67936695,67949342,68051643,68117108,68129918,68295457,68352157,68411104,68490638,68514747,69030638,69194017,69748622,69863915,70204707,70272048,70291297,70582388,71184672,71533502,71538308,71947508,72243422,72465808,72501841,72654877,72709425,72951038,73110097,73260541,73393749,73609057,74130291,74264827,74633437,74816735,75062737,75110067,75204541,75481844,75617348,75797135,76133341,76294388,76354467,76454558,76676797,76801742,76811041,76891175,76900177,76962492,77321438,77385277,77556720,77818717,77935335,78170114,78184718,78356942,78428625,78630050,78838467,78870817,78948987,78953041,79056054,79157341,79238557,79370178,79387262,79533044,79558478,79759441,79806695,80071028,80082756,80268157,80416167,80460577,80613217,80765340,80840017,80877044,80923022,81359137,81524034,81565175,81771182,81828541,81899677,81935137,81940382,82324715,82727168,82798237,83031841,83130877,83131024,83196541,83261917,83288798,83349591,83490394,83657200,83774557,83836698,84146941,84299041,84756548,84802717,84831697,85294142,85313341,85396177,85505617,85656508,85688948,86149696,86651915,86657437,86799997,87114158,87122557,87145057,87234337,87251310,87300541,87417274,87443198,87493592,87607502,87681668,87786577,87966397,88178257,88426862,88453117,88541137,88610257,88873844,89016157,89456977,89457695,89633377,89692957,89780082,89817697,89973757,90041041,90054782,90059617,90104797,90156637,90173341,90197857,90213841,90324541,90338077,90423627,90491307,90548317,90552097,90569917,90597457,90610237,90637777,90639037,90648541,90649441,90701918,90723188,90898175,90956562,91513844,91645508,92003560,92269410,92303348,92309678,92469662,93068064,93395659,93522402,93606747,93864940,94114350,94154819,94322067,94356060,95009822,95481998,95768034,96869864,96918408,97513118,97537268,97821885,97878210,97978382,98302415,98420704,98430291,98545762,98789658,99366398,99381507,...,25914476634394122487416240462223399784757772129801724188438379605444991739862337122121654692801922830738456684270649145244994994298283924076854844481231780511283573226610879286416824447755708929819953608152088196604164888523513385343263457360109791459866032874438967355614697057921013488282185540767204363518631713548936721549235513760297090491476681654369844280195629454737689089238563021013283272956721847632866433355529953192877800273311218729829730599879802348867253819711996180788726939758536794646887770990112452427955650794654990952617222471738202526122655566959809582541465169336778487048004033782723282523621886601065155673933676187703306598535546827777172523393305472046927761164638963858278633740787644734290635691881815927613560931908051652674480939959944996727747467085343563778592164604360616419476229764844114865869113790393225613853163567244390178961788102350729001630958766404382347841406666722477548726672392961888017320952252774051525428162102279437623202657948779700412138660099826428204890237833875353758936877711926520500712693290571556014518104121512536446055766349252909455949804689082804981761880034486860063476347508072536928486676620337899066253854894133987546339414075902377946914810022091090834973458914080082881755622362605419569171641657816278823126810573891295272270935667958148277069825063636324353520180398011757889185450127008697779576780590200714332229342800169490178325612376646258709286684500916367149626104453003907508010253698938011829152477151606659543667446647046575411585170628183624688338716729449684158764619982609344904100719320731971695756301637225127809143515799678585023764459827394713228756848051652542617348682366713168799796465562902208155518581819980521204072028978422863978819098743953251280993002130232930927650145886095595622156916880303198923110624827175469612174761148927104843440312031166487345354537230440017624930673411231659274880590289154360681155984742854989907312816310894173769588132122020474913681244301831305431147650916742733737784286742353492192606998565972552392468758499505283347270370370461758146468039616042577788917005386756750952052130060666748382713465024969353320285503504755913893449797480256236158257011473327969442929200527065181880405924505098887819236039814643573660221934264500771163155434567293975822079451245277697861453111422434202736176641362644264506406841491560789035218679078726118007027242574428151971195659130702431543812046503389786341120518428794847340189847238891925364576450910496732085532223906004529675214249225953631031949956415016695414819027835467739417850390212310086614264055259476256132489426785069509251410962580339451416434735514700312022309508544729682529936294913500014524243303938824241015821980273314985911311558219730136290722800843125692796372619846091537323211263378623769035077386099355640538361738646191602415592751708439760163431740612844382090814204548073279680086788079929548034503355095826423262552608991123764953317578100157275184403411518522329617688706484218363235443611694418300111949727970151822876759716}
19043   6995536868899444239709338593988423287768872614469599659371347954307756: {152296,171333,666085,799302,951550,1141860,1217984,1370232,1541511,1767837,2756305,3061093,3307566,3473157,3515185,3813573,3973717,4201873,4218222,4372990,4809277,5247588,5493601,5598805,6479341,6718566,7110862,7163377,7205853,7488805,8303437,8986566,9390446,10114916,10240437,11064757,11803981,12008485,12122638,12241796,12313477,12852788,13134805,14410182,14449880,14858782,15164221,15224077,15761766,15891524,15924693,16202942,16256115,16492868,16803956,16862830,16878805,17094673,17339856,17488280,17499157,17897197,18100376,18124141,18744805,19507338,19569477,19674315,20235396,20254566,20362923,20443813,20509813,20985936,21217557,21594301,21750872,22057861,22493766,22558897,22650385,23147060,23516317,23561240,23577685,23609178,24241575,24469731,25445821,25477293,25857680,25891630,25978981,26353585,26506395,26599477,27105933,27180462,27437444,27755877,27776472,27789073,28164836,28273488,28293222,28437464,28752085,29053173,29089890,29613958,30347013,30667693,30857624,31011686,31029216,31069956,31149637,31248531,31343396,31447381,31511185,31511230,31624302,31807674,31812013,31992147,32184997,32428885,32969701,33245517,33424717,33528805,33566493,33832117,33887253,34261285,34413661,34502502,34508595,34561093,34597222,34714827,34907868,35053201,35487813,35888677,36331873,36333843,36445557,36477638,36809168,36814021,37082973,37112830,37367185,37813422,37813476,37922955,38441893,38458261,38752196,38914662,39188785,39940653,39995197,40234566,40235480,40257093,40451152,40573317,40601917,40802941,41113542,41205117,41327175,41361301,41410314,41537461,43095333,43180213,43254575,43524062,43810990,43948837,44082320,44351157,44535396,44776280,44814373,44840622,44924830,44977773,45146375,45264915,45290757,45450392,45507546,46254805,46384676,46544893,46777237,46852437,47026542,47027662,47364757,47409877,47503491,48187815,48236785,48282576,49098584,49339893,49372990,49406797,49592610,49959597,50361361,50373315,51131691,51240035,51400336,51454726,51469585,51905490,52289588,52573188,52898784,53213521,53259985,53540701,53616446,53659677,53731536,53909796,53966613,54153685,54175650,54317898,54466918,54603661,54916990,55224805,55235907,55360280,55365856,55396177,55487653,55494596,55505766,56487157,56551775,56719317,56936113,57084027,57328653,57632997,57656893,57787360,57825378,57884142,58279966,58365637,58418941,58962385,59138564,59210341,59247588,59339230,59511132,59859716,60059973,60447978,60558805,60664557,61488042,61763502,61792250,61880902,62280315,62286588,62293681,62720593,63407582,63740158,63911982,64273917,64381357,64449517,64604516,64872453,64976305,64984422,65010780,65532037,65900388,66053156,66203197,66269766,66432336,66560485,66662877,67514773,67771556,67862130,67957175,68090341,68148957,68248484,68490097,68667685,68741877,68820046,69013537,69333933,69344832,70238821,70244305,70515453,70754862,71192197,71207076,71282173,71817685,72108795,72372397,72386272,72530557,72656062,72670566,72739646,73161237,73176721,73189873,73200050,73736305,73779613,74048966,74150700,74439073,74736378,74778901,74780785,74821141,75057188,75302485,75380984,75680917,76331581,76344805,76556893,76916048,76952037,77116273,77531997,77834276,77905585,77971566,78005230,78012936,78337646,78400317,78426757,78497144,79094080,79161478,79180357,79226557,79810477,79872582,80418837,80503115,80788250,80993613,81071461,81280677,81432116,81434556,81449677,81548610,81903541,82078357,82224085,82343662,82366990,82369335,82401222,82568485,83256805,83455630,83569413,83707846,84139437,84293166,84708597,84761131,84803607,85146385,85513880,85775761,86118116,86160541,86181222,86410893,86530554,86693853,86985184,87137557,87745693,87764553,87840060,87860624,87888382,87893924,88065656,88227985,88289041,88309287,88387077,88483566,88490072,88980840,89422885,89511573,89528437,89736942,89785597,89934385,90172573,90352677,90362982,90582260,90632613,90735524,91300426,91352996,91613766,91781437,92307693,93079942,93142317,93486702,93606276,93696064,93902182,94352305,94521685,94529037,94912896,95367985,95646961,95685637,96203115,96353422,96409813,96461373,96603738,96945900,97447742,97694461,97755757,97858332,97953517,98118253,98558187,98668902,98840388,98843202,99073863,99082182,99203493,99416305,99551331,99571873,99908166,...,38871714951591183731124360693335099677136658194702586282657569408167487609793505683182482039202884246107685026405973717867492491447425886115282266721847670766925359839916318929625236671633563394729930412228132294906247332785270078014895186040164687189799049311658451033422045586881520232423278311150806545277947570323405082323853270640445635737215022481554766420293444182106533633857844531519924909435082771449299650033294929789316700409966828094744595899819703523300880729567994271183090409637805191970331656485168678641933476191982486428925833707607303789183983350439714373812197754005167730572006050674084923785432829901597733510900514281554959897803320241665758785089958208070391641746958445787417950611181467101435953537822723891420341397862077479011721409939917495091621200628015345667888246906540924629214344647266172298803670685589838420779745350866585268442682153526093502446438149606573521762110000083716323090008589442832025981428379161077288142243153419156434803986923169550618207990149739642307335356750813030638405316567889780751069039935857334021777156182268804669083649523879364183924707033624207472642820051730290095214521262108805392730014930506848599380782341200981319509121113853566920372215033136636252460188371120124322633433543908129353757462486724418234690215860836942908406403501937222415604737595454486530280270597017636833778175190513046669365170885301071498344014200254235267488418564969388063930026751374550724439156679505861262015380548407017743728715727409989315501169970569863117377755942275437032508075094174526238146929973914017356151078981097957543634452455837691713715273699517877535646689741092069843135272077478813926023023550069753199694698344353312233277872729970781806108043467634295968228648115929876921489503195349396391475218829143393433235375320454798384665937240763204418262141723390657265160468046749731018031805845660026437396010116847488912320885433731541021733977114282484860969224466341260654382198183030712370521866452746958146721476375114100606676430113530238288910497848958828588703137749257925020905555555692637219702059424063866683375508080135126428078195091000122574070197537454029980428255257133870840174696220384354237385517209991954164393800790597772820608886757648331728854059721965360490332901396751156744733151850940963733119176867916546792179667133651304104264962043966396759610262237341183552828018618089177010540863861642227956793488696053647315718069755084679511680777643192271010284770858337888046864676365745098128298335859006794512821373838930446547924934622525043122228541753201609126775585318465129921396082889214384198734140177604263877116443870509177124652103272050468033464262817094523794904442370250021786364955908236361523732970409972478866967337329595204436084201264688539194558929769137305984816895067935653552616079149033460807542607969287403623389127562659640245147610919266573136221306822109919520130182119894322051755032643739634893828913486685647429976367150235912776605117277783494426533059726327544853165417541627450167924591955227734315139574}
19044   7023373716777727847938673691445624146377155081201390623478787263540231: {133259,190370,228444,247403,418682,589403,817043,1065736,1102754,1198953,1347083,1427325,1522480,1558082,1712790,1826976,1837859,2055348,2357116,2402459,2477603,3147194,4410088,4531523,4630876,4717043,4828259,4954682,4961349,5084764,5087483,5624296,5862803,6194003,6327333,6528674,6559485,6597923,6964283,6996784,7147163,7871382,8494259,8566763,8958088,8987834,9109523,9326123,9607804,9650483,9686483,10010123,10077849,10099874,10404803,10666293,10834259,10941443,10986914,11084243,11369459,11618603,11650682,11831843,11902859,11982088,12363683,12434459,12643645,12681923,13421963,13479849,13597643,13653916,13843259,14085669,14368259,14786963,14961083,15065459,15172374,15302245,15516923,15690203,15837829,16065985,16519163,16696514,17137859,17480459,17753963,17992859,18062350,18183957,18362694,18571403,18650234,19032013,19113803,19213576,19279182,19298882,19519259,19864405,20125283,20616085,20628323,20795603,21004945,21015688,21096203,21232924,21296243,21615273,21674820,21695459,21860350,22027259,22094714,22288173,22625470,22787363,23017859,23119808,23182259,23590082,23642649,23837286,24066563,24304413,24739302,24882781,25205934,25294245,25462859,25714082,25849883,26009784,26092636,26203643,26232420,26980528,27000421,27006088,27150564,27163523,27188590,27386459,27926243,27981248,28116203,28243874,28290076,28337459,28810259,28933825,28967459,29261007,29375243,29451550,29500994,29844083,29901157,29991688,30311123,30353094,30381849,30838259,31478904,31977563,32208022,32222459,32322100,32626308,32680259,33034682,33348443,33740649,33969724,34042859,34133123,34253363,34296805,34343459,34477634,34720590,35031803,35206045,35300003,35341860,35394758,35413767,35503994,35546830,35775203,36141244,36189323,36218843,36240616,36484163,37007836,37035296,37247003,37363883,37697984,37724296,38155682,38236403,38467859,38572030,38737564,38786520,38837445,39101723,39179245,39245243,39531683,39573434,39703163,39769093,39845843,40102163,40462684,40471259,40527923,40770693,41036459,41156166,41185082,41372288,41426608,41664708,42073643,42157259,42165736,42247254,42410232,42439833,42629723,42656196,42657443,42961261,42989459,43210163,43622603,43634835,43896563,44278763,44327356,44420937,44755324,44777594,44975294,45173459,45183004,45362123,46003336,46011460,46166243,46246259,46286436,46299563,46517529,46543824,46604934,46857323,47015094,47042459,47266845,47317084,47436453,47516723,47569259,47711511,47752883,48127682,48275363,48440245,48445124,48519074,48594076,48613259,49443964,49695683,49900259,50231603,50282459,50294350,50417896,50417968,50467394,50563940,50601958,50965883,51368123,51418259,51593483,51625717,51753753,51886216,51895833,52042259,52116803,52361802,52710563,52858283,53254204,53362874,53646088,53676124,53932763,53957003,54097756,54320834,54511994,54589873,54608459,54716457,54800363,54818056,54893882,54940156,54967859,55102900,55213752,55254083,55396763,55515443,55669245,55799459,55964603,55970350,56105843,56434283,56720133,56720214,56812990,57460444,57548459,57961523,57980845,58128294,58371993,58508243,59134876,59140259,59244194,59319683,59380528,59543243,59618882,59787496,59810459,59970364,60319403,60351849,60353220,60387676,60473459,60676728,61194443,61373230,61670313,61842323,61885259,62099459,62115471,62355443,62410682,62469916,62525459,62673803,62702056,62990363,63116483,63337988,63367859,63680459,64250420,64341323,64376768,64668683,64953443,65256803,65276963,65286093,65361985,65377643,65518259,65716485,65786524,65958361,66123480,66274763,66412859,66612796,66628514,66648683,66803094,66805259,66863843,67000259,67164420,67260933,67301542,67387245,67445723,67618883,67638083,67906043,68175588,68261319,68305043,68380643,68685001,69036683,69200350,69207320,69368245,69577014,69646259,69829259,69975083,70055354,70097584,70102259,70156643,70319363,70531712,70539813,70541493,70910459,70946003,71126714,71229203,71482682,71546236,71642048,71702459,71737283,71879728,71955484,72234200,72307259,72370082,72423864,72682403,72724034,73036883,73120763,73237859,73271243,73647876,73817459,73923205,73932203,74007688,74059485,74306459,74388915,74485154,74548259,74660483,74740403,74824645,74947259,75137003,75466283,75625756,75652859,76112036,76190459,76438204,76843996,76878046,77015459,77057449,77100504,77178856,77182089,77236259,77265563,77309459,77411603,77428813,77527859,77715683,77858235,78129803,78136634,78313259,78341363,78434382,78481082,78523259,78565043,78859782,78896723,78996784,79101683,79183163,79304843,79339682,79348176,79652723,79682114,79771883,80047403,80079964,80194682,80203259,80293643,80424669,80434883,80535674,80597304,80752283,80755645,80864694,80886076,80902859,81263475,81476847,81481523,81700377,81817859,81853523,81960083,81984056,82171259,82351336,82375485,82437323,82566445,82710443,83040420,83048784,83056403,83155403,83210123,83221043,83241894,83258649,83275523,83437763,83480723,83704163,84037859,84081314,84160883,84313043,84592259,84714445,84816923,84903683,85169459,85215976,85249082,85310605,85327763,85337003,85447259,85474643,85698556,85747394,86078882,86212163,86379443,86404259,86496604,86645896,86648459,86681040,86738067,86744123,86767859,86822963,86826213,86869883,86885459,87001259,87054683,87315923,87366598,87419949,87432083,87446459,87553259,87679043,87867184,87929459,87949283,87982163,88055714,88124459,88200443,88359688,88403459,88576448,88609259,88707846,88816163,88871382,88883836,88896923,89008845,89083403,89108483,89153123,89201963,89266698,89301923,89357459,89362082,89380259,89478203,89504243,89512859,89650403,89710043,89783003,89789574,90004259,90014003,90042803,90058523,90177083,90234203,90239459,90272843,90321563,90330923,90342443,90403259,90482840,90492923,90520259,90535259,90538163,90546683,90556259,90581459,90589523,90598259,90608459,90623963,90628883,90656603,90658283,90659234,90660203,90667859,90668363,90671967,90865276,91465274,91655836,92232063,92382862,92445244,92459776,92598541,92645253,92688375,92821353,93429882,93703034,93821485,94020604,94226230,94339816,94653434,94942768,95111373,95441474,95610237,95867973,96145060,96894088,96906774,97292845,97318082,97476633,97516170,97548316,97809481,98121430,98403194,98747737,98850582,98867600,99079734,99327674,99404649,99648504,...,58307572427386775596686541040002649515704987292053879423986354112251231414690258524773723058804326369161527539608960576801238737171138829172923400082771506150388039759874478394437855007450345092094895618342198442359370999177905117022342779060247030784698573967487676550133068380322280348634917466726209817916921355485107623485779905960668453605822533722332149630440166273159800450786766797279887364152624157173949475049942394683975050614950242142116893849729555284951321094351991406774635614456707787955497484727753017962900214287973729643388750561410955683775975025659571560718296631007751595858009076011127385678149244852396600266350771422332439846704980362498638177634937312105587462620437668681126925916772200652153930306734085837130512096793116218517582114909876242637431800942023018501832370359811386943821516970899258448205506028384757631169618026299877902664023230289140253669657224409860282643165000125574484635012884164248038972142568741615932213364730128734652205980384754325927311985224609463461003035126219545957607974851834671126603559903786001032665734273403207003625474285819046275887060550436311208964230077595435142821781893163208089095022395760272899071173511801471979263681670780350380558322549704954378690282556680186483950150315862194030636193730086627352035323791255414362609605252905833623407106393181729795420405895526455250667262785769570004047756327951607247516021300381352901232627847454082095895040127061826086658735019258791893023070822610526615593073591114983973251754955854794676066633913413155548762112641261789357220394960871026034226618471646936315451678683756537570572910549276816303470034611638104764702908116218220889034535325104629799542047516529968349916809094956172709162065201451443952342972173894815382234254793024094587212828243715090149853062980682197576998905861144806627393212585085985897740702070124596527047708768490039656094015175271233368481328150597311532600965671423727291453836699511890981573297274546068555782799679120437220082214562671150910014645170295357433365746773438242883054706623886887531358333333538955829553089136095800025063262120202689642117292636500183861105296306181044970642382885700806260262044330576531356078275814987931246590701185896659230913330136472497593281089582948040735499352095126735117099727776411445599678765301874820188269500700476956156397443065949595139415393356011775329242027927133765515811295792463341935190233044080470973577104632627019267521166464788406515427156287506832070297014548617647192447503788510191769232060758395669821887401933787564683342812629802413690163377977697694882094124333821576298101210266406395815674665805763765686978154908075702050196394225641785692356663555375032679547433862354542285599455614958718300451005994392806654126301897032808791838394653705958977225342601903480328924118723550191211313911953931105435083691343989460367721416378899859704331960233164879280195273179841483077632548965609452340743370230028471144964550725353869164907675916675241639799589589491317279748126312441175251886887932841601472709361}
19045   7051320537093980945941384563453901861400617767132641620994966647396336: {285555,304592,342666,628023,932519,1332170,1598604,1654131,1903100,2283720,2337123,2435968,2569185,2740464,2946395,3083022,3535674,3858827,4696211,4720791,4921259,5512610,5683691,5788595,6122186,6139907,6355955,6615132,6946314,7030370,7432023,7627146,7657403,7838327,7947434,8403746,8436444,8745980,9618554,9793011,10484327,10495176,10987202,11197610,11807073,12009755,12730883,12958682,13076531,13437132,13481751,14221724,14326754,14411706,14552291,14977610,15149811,16480371,16606874,16811879,16948247,17067395,17476023,17973132,17992091,18388727,18770231,18780892,19105811,20229832,20364467,20480874,22129514,22758561,23607962,23630327,23659331,24016970,24114683,24134807,24245276,24483592,24626954,25044771,25705576,26242727,26269610,26541155,27093525,27544041,27792011,27975351,28439447,28820364,28899760,28918773,28948323,29717564,30328442,30448154,31523532,31710539,31783048,31849386,32405884,32512230,32615795,32790525,32985736,33008759,33142071,33607912,33725660,33757610,33938205,34189346,34679712,34976560,34998314,35055191,35056907,35362595,35385123,35755929,35794394,36200752,36248282,36895019,37108953,37489610,37808901,38462327,38571123,39014676,39138954,39177107,39348630,39352919,39983411,40252919,40402625,40470792,40509132,40606211,40725846,40782885,40887626,41019626,41971872,42365811,42413891,42435114,42462155,42763379,43188602,43501744,44115659,44115722,44177325,44251491,44819111,44987532,45117794,45176555,45300770,45400439,45529641,45603287,46259795,46294120,46940327,47032634,47122480,47155370,47218356,47267051,47414891,47965799,48312033,48421955,48483150,48939462,49552023,49820243,50578355,50891642,50954586,51715360,51716451,51783260,51957962,52080885,52314059,52707170,53012790,53092137,53198954,53219147,53255991,53320245,54211866,54360924,54864299,54874888,55409195,55511754,55552944,55578146,55944155,55976531,56286227,56329672,56478755,56493131,56546976,56586444,56874928,56883419,57152579,57233523,57504170,57514325,57858045,58106346,58179780,58389851,59146355,59216603,59227916,59360151,59839607,60382823,60556405,60694026,60742595,61335386,61715248,61734249,61777623,61804955,62023372,62058432,62139912,62299274,62300267,62497062,62686792,62894762,63022370,63022460,63204925,63248604,63370881,63615348,63624026,63984294,64369994,64756727,64857770,65939402,66491034,66567755,66849434,67057610,67095155,67132986,67166391,67462941,67521911,67531499,67622195,67664234,67774506,67871579,68522570,68675195,68827322,68878625,68977571,69005004,69017190,69122186,69194444,69429654,69815736,69907401,70106402,70246247,70522641,70702391,70975626,71736049,71777354,71825555,72057419,72191523,72380051,72663746,72667686,72778611,72891114,72955276,73197611,73618336,73628042,73918595,74165946,74225660,74563979,74734370,74786807,74962955,75441525,75484595,75626844,75626952,75701091,75815159,75845910,75902937,76167611,76219667,76566083,76883786,76916522,76970339,77313779,77314727,77504392,77829324,78087395,78377570,78542703,79172485,79188731,79668311,79881306,79990394,80044311,80313025,80469132,80470403,80470960,80514186,80902304,81146634,81203834,81387779,81458291,81481251,81605882,81767991,81785747,81912203,82227084,82233155,82340823,82410234,82547339,82654350,82722602,82820628,83074922,83196611,83265995,83703671,83955525,84210683,84782327,84891479,85080321,85219485,85311767,85717931,85865027,86190666,86360426,86413499,86509150,87048124,87192441,87621980,87897674,88164640,88702314,88866291,89070792,89428323,89432795,89552560,89628746,89681244,89849660,89944355,89955546,90292750,90529830,90581514,90900784,90966827,91015092,92059845,92509610,92769352,93089786,93184679,93554474,93616023,93704874,94053084,94055324,94532195,94729514,94819754,95006982,95140045,95547755,95867027,96054995,96134759,96375630,96473570,96565152,97043267,98197168,98342027,98675987,98679786,98745980,98813594,98982731,99185220,99919194,99942771,...,77743429903182367462248721386670199354273316389405172565315138816334975219587011366364964078405768492215370052811947435734984982894851772230564533443695341533850719679832637859250473343267126789459860824456264589812494665570540156029790372080329374379598098623316902066844091173763040464846556622301613090555895140646810164647706541280891271474430044963109532840586888364213067267715689063039849818870165542898599300066589859578633400819933656189489191799639407046601761459135988542366180819275610383940663312970337357283866952383964972857851667415214607578367966700879428747624395508010335461144012101348169847570865659803195467021801028563109919795606640483331517570179916416140783283493916891574835901222362934202871907075645447782840682795724154958023442819879834990183242401256030691335776493813081849258428689294532344597607341371179676841559490701733170536885364307052187004892876299213147043524220000167432646180017178885664051962856758322154576284486306838312869607973846339101236415980299479284614670713501626061276810633135779561502138079871714668043554312364537609338167299047758728367849414067248414945285640103460580190429042524217610785460029861013697198761564682401962639018242227707133840744430066273272504920376742240248645266867087816258707514924973448836469380431721673885816812807003874444831209475190908973060560541194035273667556350381026093338730341770602142996688028400508470534976837129938776127860053502749101448878313359011722524030761096814035487457431454819978631002339941139726234755511884550874065016150188349052476293859947828034712302157962195915087268904911675383427430547399035755071293379482184139686270544154957627852046047100139506399389396688706624466555745459941563612216086935268591936457296231859753842979006390698792782950437658286786866470750640909596769331874481526408836524283446781314530320936093499462036063611691320052874792020233694977824641770867463082043467954228564969721938448932682521308764396366061424741043732905493916293442952750228201213352860227060476577820995697917657177406275498515850041811111111385274439404118848127733366751016160270252856156390182000245148140395074908059960856510514267741680349392440768708474771034419983908328787601581195545641217773515296663457708119443930720980665802793502313489466303701881927466238353735833093584359334267302608208529924087932793519220524474682367105656037236178354021081727723284455913586977392107294631436139510169359023361555286384542020569541716675776093729352731490196256596671718013589025642747677860893095849869245050086244457083506403218253551170636930259842792165778428768397468280355208527754232887741018354249304206544100936066928525634189047589808884740500043572729911816472723047465940819944957733934674659190408872168402529377078389117859538274611969633790135871307105232158298066921615085215938574807246778255125319280490295221838533146272442613644219839040260364239788644103510065287479269787657826973371294859952734300471825553210234555566988853066119452655089706330835083254900335849183910455468630279148}
19046   7079377761177850777449410798107766367644873101286635341768956809361395: {266518,380740,456888,494806,513999,703333,837364,1178806,1271593,1385029,1634086,1998255,2131472,2205508,2378875,2397906,2402713,2694166,2854650,3044960,3116164,3425580,3653952,3675718,4110696,4624533,4714232,4804918,4955206,5303511,6294388,6855193,7622533,8268915,8603929,8820176,9063046,9183279,9261752,9434086,9656518,9687529,9909364,9922698,10169528,10174966,10419471,10545555,10932475,11192473,11248592,11299429,11406313,11440719,11725606,11921151,12388006,12605619,12654666,13057348,13118970,13195846,13423429,13528873,13844773,13928566,13993568,14294326,14427831,14997529,15101893,15742764,15934213,16480803,16658713,16796415,16988518,17133526,17701103,17777155,17916176,17975668,17994853,18219046,18607429,18652246,19215608,19217413,19300966,19372966,19438023,19521433,20020246,20026693,20127529,20155698,20199748,20809606,21332586,21423143,21490131,21617559,21668518,21882886,21973828,22168486,22466415,22492379,22738918,23020453,23237206,23301364,23476115,23663686,23805718,23964176,24727366,24868918,24910311,25077529,25287290,25306303,25363846,25465753,26843926,26959698,27102853,27195286,27307832,27580393,27686518,27810167,27866053,28171338,28340713,28736518,28813573,28862519,28907929,29002213,29406923,29573926,29922166,30130918,30221353,30306595,30314629,30344748,30604490,30721311,30872773,31033846,31380406,31675658,32131970,32256793,33038326,33194271,33393028,33986629,34076953,34275718,34347493,34886629,34960918,35333929,35337731,35411943,35507926,35985718,36025455,36124700,36223129,36367914,36725388,36940431,37105129,37142806,37146955,37300468,38064026,38227606,38327833,38427152,38558364,38597764,39038518,39192553,39404415,39728810,39793573,40250566,40507355,40985029,41232170,41256646,41591206,42009890,42031376,42157075,42192406,42465848,42592486,42662629,43230546,43349640,43390918,43720700,43819813,43901929,44054518,44189428,44229673,44311429,44576346,45250940,45448453,45492663,45574726,45672231,46035718,46239616,46251973,46364518,47180164,47285298,47674572,47774079,48015527,48133126,48608826,48768345,49288463,49478604,49548133,49765562,50314213,50411868,50542633,50588490,50636415,50925718,51073093,51284019,51428164,51449833,51699766,52019568,52048873,52123429,52185272,52197913,52407286,52464840,52497471,52879783,53691591,53961056,53963929,54000842,54012176,54301128,54327046,54372423,54377180,54772918,54850943,55688473,55852486,55962496,56232406,56234415,56465029,56487748,56580152,56674918,56745253,57093913,57163429,57232873,57579013,57620518,57867650,57934918,58470553,58522014,58538629,58708431,58750486,58903100,59001988,59022945,59148073,59688166,59802314,59983376,60404179,60622246,60706188,60763698,61012211,61088769,61267753,61331439,61529439,61676518,61915033,62107813,62555113,62957808,63652671,63955126,64061929,64416044,64444918,64644200,64729075,64782903,65252616,65285929,65360518,65587429,66069364,66125593,66173583,66422053,66696886,66834073,67009573,67481298,67647529,67676691,67816343,67939448,67951155,68085718,68266246,68506726,68593610,68686918,68955268,69343129,69441180,70063606,70412090,70548951,70600006,70683720,70733055,70789516,70827534,71007988,71093660,71239429,71550406,71712793,72282488,72378646,72437686,72481232,72724725,72968326,73047529,73409193,73795429,73844713,74015672,74034895,74070592,74090053,74333593,74494006,74727766,75053413,75395968,75448592,75664153,76311364,76337463,76353733,76431879,76444453,76472806,76669993,76935718,77027113,77144060,77335813,77475128,77529215,77573040,77674890,77936943,77942629,78203446,78358490,78490486,78535333,78577129,78743593,78778075,78785029,78826393,79060755,79063366,79146868,79406326,79519185,79538186,79691686,79757893,79798431,79955353,80204326,80575129,80925368,80942518,81055846,81102313,81173183,81317799,81360613,81541386,81723493,82072918,82312332,82358533,82370164,82565029,82735129,82744576,82853216,83234629,83267631,83329416,83367219,83717929,84062053,84147286,84306853,84314518,84331472,84494508,84517273,84820464,84879666,85099033,85259446,85312392,85314886,85323673,85351429,85379113,85922522,85978918,86047813,86256255,86420326,86427433,86493055,86790853,87001129,87159519,87245206,87269670,87425893,87575833,87680773,87793126,87965029,88140313,88159429,88253929,88526629,88544233,88557526,88631173,88654712,88841874,88881193,88960933,89174629,89233093,89401573,89468713,89510648,89555188,89920153,89950588,89971813,89991973,90031429,90133993,90169129,90283033,90346918,90366008,90421273,90574633,90627013,90657253,90671653,90673129,90679429,90724246,91041039,91194095,91506779,92003079,92006672,92022920,92332486,92492518,92572872,92599126,92782075,93035058,93087648,93209868,93448911,93714646,93745593,94030188,94084918,94342143,94533555,94533690,94634168,94872906,95033446,95138518,95423022,95436039,95505766,95976441,96255364,96550726,96554991,96880490,96890248,97038148,97115543,97188152,97226518,97286655,98887928,98909103,99391366,99736551,99800518,...,116615144854773551193373082080005299031409974584107758847972708224502462829380517049547446117608652738323055079217921153602477474342277658345846800165543012300776079519748956788875710014900690184189791236684396884718741998355810234044685558120494061569397147934975353100266136760644560697269834933452419635833842710970215246971559811921336907211645067444664299260880332546319600901573533594559774728305248314347898950099884789367950101229900484284233787699459110569902642188703982813549271228913415575910994969455506035925800428575947459286777501122821911367551950051319143121436593262015503191716018152022254771356298489704793200532701542844664879693409960724997276355269874624211174925240875337362253851833544401304307860613468171674261024193586232437035164229819752485274863601884046037003664740719622773887643033941798516896411012056769515262339236052599755805328046460578280507339314448819720565286330000251148969270025768328496077944285137483231864426729460257469304411960769508651854623970449218926922006070252439091915215949703669342253207119807572002065331468546806414007250948571638092551774121100872622417928460155190870285643563786326416178190044791520545798142347023602943958527363341560700761116645099409908757380565113360372967900300631724388061272387460173254704070647582510828725219210505811667246814212786363459590840811791052910501334525571539140008095512655903214495032042600762705802465255694908164191790080254123652173317470038517583786046141645221053231186147182229967946503509911709589352133267826826311097524225282523578714440789921742052068453236943293872630903357367513075141145821098553632606940069223276209529405816232436441778069070650209259599084095033059936699833618189912345418324130402902887904685944347789630764468509586048189174425656487430180299706125961364395153997811722289613254786425170171971795481404140249193054095417536980079312188030350542466736962656301194623065201931342847454582907673399023781963146594549092137111565599358240874440164429125342301820029290340590714866731493546876485766109413247773775062716666667077911659106178272191600050126524240405379284234585273000367722210592612362089941284765771401612520524088661153062712156551629975862493181402371793318461826660272944995186562179165896081470998704190253470234199455552822891199357530603749640376539001400953912312794886131899190278830786712023550658484055854267531031622591584926683870380466088160941947154209265254038535042332929576813030854312575013664140594029097235294384895007577020383538464121516791339643774803867575129366685625259604827380326755955395389764188248667643152596202420532812791631349331611527531373956309816151404100392788451283571384713327110750065359094867724709084571198911229917436600902011988785613308252603794065617583676789307411917954450685203806960657848237447100382422627823907862210870167382687978920735442832757799719408663920466329758560390546359682966155265097931218904681486740460056942289929101450707738329815351833350483279599179178982634559496252624882350503773775865683202945418722}
19047   7107545822038536500304121041888879256294248948178557669354624923500958: {399777,475925,571110,609184,685332,742209,1046705,1256046,1768209,1865038,2451129,2664340,2756885,3197208,3308262,3596859,3806200,3895205,4041249,4124953,4281975,4567440,4674246,4810289,4871936,5138370,5480928,5494757,5513577,5892790,6166044,6862249,7071348,7207377,7432809,7717654,7867985,8104033,8898337,9367493,9392422,9441582,9842518,10051529,11025220,11367382,11577190,12244372,12279814,12386705,12711910,13230264,13594569,13892628,14060740,14151129,14484777,14864046,14884047,15045589,15254292,15262449,15314806,15676654,15894868,16321685,16807492,16813657,16872888,17491960,17588409,18549113,18582009,18981999,19237108,19586022,19678455,19793769,20892849,20968654,20990352,21441489,21768913,21974404,22395220,22469585,22883513,23614146,23894353,24019510,25249685,25291009,25461766,25482777,25700289,25917364,25974037,26153062,26734217,26874264,26963502,27328569,27467285,27978369,28443448,28480793,28653508,28823412,28951449,29059449,29104582,29126705,29955220,30030369,30233547,30299622,31214409,31998879,32438849,32502777,32824329,32960742,33213748,33252729,33623758,33896494,34108377,34134790,34662353,34855809,34952046,35495529,35708577,35946264,35984182,36339557,36533993,36777454,37091049,37157617,37303377,37540462,37561784,37930935,38045769,38211622,39011873,39181249,40265889,40439547,40459664,40728934,40792929,40824113,40961748,41529777,41741285,42088073,42257007,43104777,44259028,44360889,44883249,45155875,45196377,45517122,45662113,45832793,45906735,46550769,46554737,46625585,47070609,47196977,47215924,47260654,47318662,47513487,48033940,48192089,48197955,48229366,48247205,48269614,48490552,48967184,49149689,49253908,49417313,49507633,49557489,50089542,51411152,51413577,52441377,52485454,52539220,53082310,53261889,53978577,54187050,54310289,54551871,54650875,55088082,55236785,55407893,55584022,55714209,55950702,56563675,56878894,56889433,57096039,57341409,57640728,57799520,57837546,57896646,58557777,58680833,58878469,58975205,59435128,59447017,59593215,60375849,60389209,60408689,60656884,60896308,61170233,61848255,61884969,62386809,63014835,63047064,63247177,63288609,63421078,63566096,63698772,63888729,64285205,64763713,64811768,64845819,65024460,65086377,65231590,65273153,65581050,65971472,66017518,66081777,66284142,66864519,67215824,67451320,67515220,67543957,67790737,67876410,67878757,67971475,68362089,68378692,69028133,69053577,69359424,69546777,69953120,69996628,70110382,70113814,70609685,70725190,70770246,70809697,70927947,71511858,71588788,72199689,72401504,72496564,72560777,72913239,73628875,73752485,73790038,73795217,74217906,74454917,74648343,74979220,75617802,75882735,76388577,76924654,77142246,77321953,77549649,77572873,78029352,78277908,78321817,78354214,78610929,78697260,78705838,79070257,79104713,79243313,79966822,80505838,80520055,80805250,80941584,81001263,81018264,81212422,81451692,81490569,81532949,81565770,81775252,82019237,82039252,82159377,82586705,82804897,82909913,83189489,83778729,83943744,84219589,84348609,84731622,84778967,84827782,84870228,84900457,84924310,85012377,85039633,85526758,85805753,86025673,86194085,86377204,86430777,86526937,86801475,86902377,87003488,87783021,88125729,88231318,88231444,88354650,88486895,88502982,88759985,88867075,89532249,89563973,89638222,89703471,89713553,89975064,90235588,90353110,90487189,90601540,90603689,90800878,90933369,91059282,91145547,91206574,91786753,91801193,92514777,92519590,92588240,93194857,93880654,93933217,94065268,94244960,94310740,94436712,94534102,94671073,94829782,95389205,95931598,95932689,96145273,96185557,96430075,96579793,96624066,96667377,96843910,96966300,97793249,97878924,98040777,98139137,98933585,98967353,99104046,99238649,99640486,...,174922717282160326790059623120007948547114961876161638271959062336753694244070775574321169176412979107484582618826881730403716211513416487518770200248314518451164119279623435183313565022351035276284686855026595327078112997533715351067028337180741092354095721902463029650399205140966841045904752400178629453750764066455322870457339717882005360817467601166996448891320498819479401352360300391839662092457872471521848425149827184051925151844850726426350681549188665854853963283055974220323906843370123363866492454183259053888700642863921188930166251684232867051327925076978714682154889893023254787574027228033382157034447734557189800799052314266997319540114941087495914532904811936316762387861313006043380777750316601956461790920202257511391536290379348655552746344729628727912295402826069055505497111079434160831464550912697775344616518085154272893508854078899633707992069690867420761008971673229580847929495000376723453905038652492744116916427706224847796640094190386203956617941154262977781935955673828390383009105378658637872823924555504013379810679711358003097997202820209621010876422857457138827661181651308933626892690232786305428465345679489624267285067187280818697213520535404415937791045012341051141674967649114863136070847670040559451850450947586582091908581190259882056105971373766243087828815758717500870221319179545189386261217686579365752001788357308710012143268983854821742548063901144058703697883542362246287685120381185478259976205057776375679069212467831579846779220773344951919755264867564384028199901740239466646286337923785368071661184882613078102679855414940808946355036051269612711718731647830448910410103834914314294108724348654662667103605975313889398626142549589905049750427284868518127486195604354331857028916521684446146702764379072283761638484731145270449559188942046592730996717583434419882179637755257957693222106210373789581143126305470118968282045525813700105443984451791934597802897014271181874361510098535672944719891823638205667348399037361311660246643688013452730043935510886072300097240320314728649164119871660662594075000000616867488659267408287400075189786360608068926351877909500551583315888918543134911927148657102418780786132991729594068234827444963793739772103557689977692739990409417492779843268748844122206498056285380205351299183329234336799036295905624460564808502101430868469192329197848785418246180068035325987726083781401296547433887377390025805570699132241412920731313897881057802563499394365219546281468862520496210891043645852941577342511365530575307696182275187009465662205801362694050028437889407241070490133933093084646282373001464728894303630799219187447023997417291297060934464724227106150589182676925357077069990666125098038642301587063626856798366844876154901353017983178419962378905691098426375515183961117876931676027805710440986772356170650573633941735861793316305251074031968381103164249136699579112995880699494637840585819539524449232897646896828357022230110690085413434893652176061607494723027750025724919398768768473951839244378937323525755660663798524804418128083}
19048   7135825154371282006398393576602425107519135138568218820256901131867733: {209407,323527,533036,761480,856665,893047,913776,989612,1027998,1406666,1674728,1687351,1884069,1913647,2357612,2478127,2543186,2590807,2770058,2797557,2815951,3268172,3330425,3377551,3996510,4262944,4411016,4718047,4757750,4795812,4805426,4962393,5388332,5709300,5937727,6089920,6232328,6489247,6851160,7011369,7307904,7351436,7707555,8023927,8221392,8568607,8839185,9249066,9428464,9436351,9609836,9910412,10607022,10836607,11576481,11905447,12437167,12588776,13178551,13710386,13781525,13916407,14088633,14162373,14546047,14763777,15245066,15305465,15589687,16537830,16832551,17051073,17207858,17365785,17552767,17575925,17640352,18126092,18366558,18419721,18523504,18868172,19067865,19084207,19313036,19375058,19591087,19818728,19845396,19868585,19894351,20339056,20349932,20838942,21009365,21091110,21864950,22296069,22384946,22396351,22497184,22598858,22812626,22881438,22972209,23088847,23384551,23451212,23514981,23842302,24046385,24169927,24776012,24888017,25211238,25309332,25339351,25533247,26114696,26237940,26391692,26846858,27057746,27265351,27456367,27468005,27689546,27857132,27987136,27994025,28588652,28855662,29379033,29444647,29819767,29907449,29995058,30203786,31452981,31485528,31868426,32396705,32413351,32866561,32961606,33052927,33317426,33325951,33592830,33977036,34267052,34501567,35129551,35402206,35421219,35554310,35754007,35816885,35832352,35951336,35989706,36029265,36438092,37214858,37304492,37444025,37606207,38192649,38431216,38434826,38601932,38745932,38876046,39042866,39101513,39229593,39340687,39940951,40040492,40053386,40197127,40255058,40311396,40399496,40445253,40537687,41517185,41619212,41762773,42429233,42665172,42846286,42980262,43055167,43235118,43337036,43656873,43765772,43947656,43962007,44125951,44336972,44534551,44932830,44984758,45449433,45477836,45749551,46040906,46311007,46474412,46602728,46948351,46952230,47327372,47581087,47611436,47928352,48677287,49297351,49441113,49454732,49737836,49820622,50155058,50295127,50435637,50574580,50612606,50727692,50844741,50931506,51202185,51356047,51431287,51955951,52005737,52428069,53288887,53687852,53919396,53976273,54019327,54205706,54390572,54615664,55160786,55166181,55323785,55373036,55387327,55620334,55732106,56310693,56342676,56448967,56681426,56710297,57008551,57317433,57473036,57494407,57627146,57701551,57725038,57815858,58004426,58182367,58813846,59019905,59147852,59200807,59268127,59603647,59844332,60042425,60261836,60442706,60613190,60629258,60689496,61058551,61093401,61189087,61208980,61442622,61567385,61745546,61901887,62067692,62494289,62542327,62760812,63301351,63351316,63925951,64263940,64358887,64513586,64543351,64665967,65032087,65674025,66076652,66388542,66786056,66823807,67232551,67510553,67637767,67973258,68153906,68275683,68380951,68551436,68694986,69056167,69223351,69773258,69921836,69940327,70591351,70667858,70675462,70698847,70823886,70890981,70966327,70977993,71015852,71386757,71548447,71757967,71914351,71971436,72050910,72249400,72344049,72404421,72446258,72735828,72839047,73292647,73450776,73690951,73880862,74210258,74279767,74285612,74293910,74600936,75134313,75238087,75706447,75821105,76120385,76128052,76167607,76213327,76455212,76655666,76854304,76890487,77116728,77195528,77289007,77551447,77768167,77854351,78077036,78365407,78385106,78617047,78728181,78808830,78907351,79194127,79457620,79587146,79623465,80033287,80501132,80689351,80878351,81014710,81280575,81688567,81867847,81970058,81974551,82464340,82513292,82632123,82737247,82838551,83171551,83182412,83376033,83815951,83926053,84019780,84062752,84065647,84219367,84314150,84384812,84394025,84728551,84874351,84931696,84932167,85075447,85184972,85318341,85325258,85473365,85521847,85897327,85975951,86409247,86461092,86605951,86699280,86726551,86756319,86781836,86844969,86845351,86915767,87190951,87441400,87477367,87495785,87639626,87803858,87993967,88109036,88378856,88459346,88589551,88622858,88710007,89152692,89485985,89546647,90102847,90234607,90274927,90398551,90443407,90473287,90501880,90574807,90607351,90620705,90635287,90647527,90683167,90695551,90702607,90705847,90896906,90985326,91149452,91344462,92071436,92479232,92503946,92729036,93724025,94360328,94570596,95131617,95349144,95548158,96031054,96266252,97217652,97536690,97847385,98371575,98576926,98957208,99026277,99096266,99426213,99531124,...,233230289709547102386746164160010598062819949168215517695945416449004925658761034099094892235217305476646110158435842307204954948684555316691693600331086024601552159039497913577751420029801380368379582473368793769437483996711620468089371116240988123138794295869950706200532273521289121394539669866904839271667685421940430493943119623842673814423290134889328598521760665092639201803147067189119549456610496628695797900199769578735900202459800968568467575398918221139805284377407965627098542457826831151821989938911012071851600857151894918573555002245643822735103900102638286242873186524031006383432036304044509542712596979409586401065403085689329759386819921449994552710539749248422349850481750674724507703667088802608615721226936343348522048387172464874070328459639504970549727203768092074007329481439245547775286067883597033792822024113539030524678472105199511610656092921156561014678628897639441130572660000502297938540051536656992155888570274966463728853458920514938608823921539017303709247940898437853844012140504878183830431899407338684506414239615144004130662937093612828014501897143276185103548242201745244835856920310381740571287127572652832356380089583041091596284694047205887917054726683121401522233290198819817514761130226720745935800601263448776122544774920346509408141295165021657450438421011623334493628425572726919181681623582105821002669051143078280016191025311806428990064085201525411604930511389816328383580160508247304346634940077035167572092283290442106462372294364459935893007019823419178704266535653652622195048450565047157428881579843484104136906473886587745261806714735026150282291642197107265213880138446552419058811632464872883556138141300418519198168190066119873399667236379824690836648260805805775809371888695579261528937019172096378348851312974860360599412251922728790307995623444579226509572850340343943590962808280498386108190835073960158624376060701084933473925312602389246130403862685694909165815346798047563926293189098184274223131198716481748880328858250684603640058580681181429733462987093752971532218826495547550125433333334155823318212356544383200100253048480810758568469170546000735444421185224724179882569531542803225041048177322306125424313103259951724986362804743586636923653320545889990373124358331792162941997408380506940468398911105645782398715061207499280753078002801907824625589772263798380557661573424047101316968111708535062063245183169853367740760932176321883894308418530508077070084665859153626061708625150027328281188058194470588769790015154040767076928243033582679287549607735150258733371250519209654760653511910790779528376497335286305192404841065625583262698663223055062747912619632302808200785576902567142769426654221500130718189735449418169142397822459834873201804023977571226616505207588131235167353578614823835908901370407613921315696474894200764845255647815724421740334765375957841470885665515599438817327840932659517120781092719365932310530195862437809362973480920113884579858202901415476659630703666700966559198358357965269118992505249764701007547551731366405890837444}
19049   7164216194563893660375315293822304065933329480165994214561652805141924: {666295,799554,951850,1142220,1218368,1237015,1370664,1465387,1484418,1541997,2093410,2109999,2512092,2947015,3536418,3730076,3814779,3859639,4085215,4155087,4902258,5328680,5453287,5513770,5684887,5994765,6063871,6141199,6394416,6616524,6735415,7136625,7193718,7208139,7432519,7612400,7733407,7790410,8082498,8249906,8563950,9134880,9189295,9348492,9620578,9743872,10013527,10276740,10469551,10961856,10989514,11015179,11027154,11785580,12012295,12317371,12332088,12388015,13724498,13873599,14142696,14414754,14865618,15435308,15735970,15910533,16208066,16475371,17100079,17341387,17796674,18734986,18784844,18883164,19029919,19685036,20103058,20516299,20565579,21921679,22050440,22566031,22657615,22734764,22850359,22867599,23128087,23154380,23528119,23585215,24141295,24488744,24559628,24773410,24806745,25423820,25437415,25575691,25811787,25860199,26418667,26460528,27189138,27549837,27785256,28121480,28302258,28896571,28969554,29062587,29215819,29314015,29728092,29768094,29879419,30091178,30508584,30524898,30629612,30970015,31258413,31353308,31457419,31636665,31789736,32643370,32797425,32989615,33538471,33577419,33614984,33627314,33659119,33745776,33898287,34218939,34322157,34426699,34676011,34821415,34983920,35176818,35349559,35735815,35763453,36343399,37098226,37133371,37164018,37178599,37816857,37963998,38316139,38454199,38474216,39172044,39356910,39587538,40110799,40270287,40586619,40614799,40777387,40964599,41238571,41534319,41702347,41785698,41937308,41980704,42471295,42833815,42882978,43283493,43537826,43948808,44790440,44939170,44992587,45305679,45547615,45767026,46559659,46630615,47039611,47228292,47386447,47424919,47788706,47802639,48039020,48068539,48246679,48252415,48432415,49154887,49442409,49830847,49976139,50050615,50389245,50499370,50582018,50923532,50965554,51400578,51834728,51870907,51948074,52024015,52285999,52306124,53103309,53331465,53468434,53748528,53927004,53984559,54171295,54657138,54707215,54934570,55203979,55413751,55421215,55464319,55822287,55956738,56505079,56847295,56886896,56954287,56961586,57307016,57646824,57652239,57902898,57977887,58093015,58118898,58209164,58253410,58314069,58402279,58437799,58564299,58687039,59159215,59229127,59514295,59777671,59910440,60060738,60080079,60382587,60467094,60599244,61810759,61818415,62172295,62428818,62727787,63218225,63254587,63409615,63997758,64184887,64269429,64470393,64852677,64877698,65005554,65275819,65648658,65921484,66427496,66505458,67109815,67247516,67399245,67477137,67546087,67792988,67988215,68135959,68216754,68269580,68366731,69035431,69061359,69216295,69324607,69324706,69711618,69904092,70428345,70670407,70991058,71343547,71392087,71417154,71841295,71892528,71968364,72395359,72437419,72679114,73067986,73200079,73554908,73763371,73803019,73934815,74182098,74315234,74606754,74730933,74805415,75080924,75123568,75209047,75232587,75327295,75374827,75861870,75918909,76091538,76355959,76397259,76423244,76511225,77140999,77331499,77584615,78023746,78362498,78451015,79016719,79113079,79189145,79205479,79251691,80329925,80531778,80879094,80919328,81097339,81308559,81457868,81475519,81585858,81648226,81923496,81929527,82207807,82565287,82595815,82627351,82741179,83059554,83198287,83214319,83430501,83482570,83598159,84176146,84459631,84514014,85022139,85689295,86209554,86215327,86440719,86587557,86723787,86954299,87006639,87155911,87402295,88144171,88220769,88518056,88721778,88769815,89766498,89959627,89964295,89999287,90201439,90311750,90392754,90664059,90919785,90943887,91034244,91324226,91490059,91665586,91668559,91813470,92163933,92618319,92857015,93101538,93109474,93251170,94141218,94393954,94431848,94521308,94637324,95026974,95160065,95569015,96067880,96384178,96395910,96440587,96458732,96494410,96539228,96770379,96981104,97159759,97596295,97934368,98299378,98507816,98834626,98853559,98885911,99003799,99015266,99114978,99322025,99582813,99603799,...,349845434564320653580119246240015897094229923752323276543918124673507388488141551148642338352825958214969165237653763460807432423026832975037540400496629036902328238559246870366627130044702070552569373710053190654156225995067430702134056674361482184708191443804926059300798410281933682091809504800357258907501528132910645740914679435764010721634935202333992897782640997638958802704720600783679324184915744943043696850299654368103850303689701452852701363098377331709707926566111948440647813686740246727732984908366518107777401285727842377860332503368465734102655850153957429364309779786046509575148054456066764314068895469114379601598104628533994639080229882174991829065809623872633524775722626012086761555500633203912923581840404515022783072580758697311105492689459257455824590805652138111010994222158868321662929101825395550689233036170308545787017708157799267415984139381734841522017943346459161695858990000753446907810077304985488233832855412449695593280188380772407913235882308525955563871911347656780766018210757317275745647849111008026759621359422716006195994405640419242021752845714914277655322363302617867253785380465572610856930691358979248534570134374561637394427041070808831875582090024682102283349935298229726272141695340081118903700901895173164183817162380519764112211942747532486175657631517435001740442638359090378772522435373158731504003576714617420024286537967709643485096127802288117407395767084724492575370240762370956519952410115552751358138424935663159693558441546689903839510529735128768056399803480478933292572675847570736143322369765226156205359710829881617892710072102539225423437463295660897820820207669828628588217448697309325334207211950627778797252285099179810099500854569737036254972391208708663714057833043368892293405528758144567523276969462290540899118377884093185461993435166868839764359275510515915386444212420747579162286252610940237936564091051627400210887968903583869195605794028542363748723020197071345889439783647276411334696798074722623320493287376026905460087871021772144600194480640629457298328239743321325188150000001233734977318534816574800150379572721216137852703755819001103166631777837086269823854297314204837561572265983459188136469654889927587479544207115379955385479980818834985559686537497688244412996112570760410702598366658468673598072591811248921129617004202861736938384658395697570836492360136070651975452167562802593094867774754780051611141398264482825841462627795762115605126998788730439092562937725040992421782087291705883154685022731061150615392364550374018931324411602725388100056875778814482140980267866186169292564746002929457788607261598438374894047994834582594121868929448454212301178365353850714154139981332250196077284603174127253713596733689752309802706035966356839924757811382196852751030367922235753863352055611420881973544712341301147267883471723586632610502148063936762206328498273399158225991761398989275681171639079048898465795293793656714044460221380170826869787304352123214989446055500051449838797537536947903678488757874647051511321327597049608836256166}
19050   7192719380703283052028012756901319180838251793699068619316453613542229: {247481,361589,418814,647054,703481,779369,1066072,1199331,1347509,1427775,1522960,1713330,1786094,1827552,1951541,1979224,2055996,2226627,2478389,2591081,2628629,2813332,2853749,3140115,3349456,3374702,3415289,3602069,3768138,3827294,3975029,4662595,4715224,4829801,4940981,4956254,5086372,5181614,5200121,5304627,5495801,5540116,5595114,5631902,5754101,6195989,6306281,6526649,6536344,6660850,6710069,6755102,7076309,7259129,7353387,7993020,8061161,8270655,8497001,8525888,8605781,8678261,8822032,9436094,9437369,9515500,9591624,9610852,9924786,10121141,10300601,10515689,10776664,10790577,10945001,11052149,11194901,11373161,11418600,11685615,11875454,12013241,12123747,12179840,12374859,12464656,12544661,12845925,12978494,13003769,13531829,13602101,13702320,13917929,14022738,14430867,14547641,14615808,14702872,14731975,14966009,15070421,15279029,15415110,15626069,16006889,16047854,16442784,16455701,16484271,16540731,16662389,16834409,17137214,17246441,17678370,17896469,18203369,18498132,18856928,18872702,19086329,19120181,19219672,19221689,19294135,19593269,19627001,19820824,20232809,20586747,21203381,21214044,21427651,21622131,21636281,21673214,21802421,22298427,22398869,22893929,23091449,23124341,23152962,23420009,23481055,23603955,23810894,24172661,24312099,24400889,24606295,24874334,25083221,25148021,25177552,25536149,25568441,25858709,26019689,26308949,26357102,26501429,26695011,26821589,27172841,27268469,27395861,27420772,27563050,27586709,27650261,27816019,27832814,27935849,28030901,28102479,28177266,28220789,28324746,28418455,28820201,28914581,28942975,28977461,29092094,29413111,29479349,29527554,29635769,29854421,30010361,30154587,30414869,30490132,30610930,30699535,31179374,31219829,31773941,31779775,31988729,32080661,32783081,33075660,33087161,33360149,33664939,33665102,33692921,34054841,34102146,34145141,34355561,34415716,34535609,34685429,34731570,35044181,35105534,35133689,35151850,35280704,35345167,35401781,35787881,36024809,36252184,36497129,36733116,36761909,36839442,37047008,37160115,37172501,37377209,37639829,37736344,38135730,38168414,38287015,38336981,38455207,38626072,38654969,38750116,39182174,39191635,39201941,39259349,39345401,39631721,39637456,39690792,39737170,39788702,39803129,39860201,39945749,40201961,40627541,40678112,40699864,40783707,41051321,41417141,41669609,41677884,41809589,42018730,42172601,42182220,42453387,43005161,43225961,43454331,43701691,43729900,43967381,43994729,44295029,44567189,44592138,44652141,44769892,44792702,44811449,44994368,45136767,45190121,45197716,45355387,45459641,45513449,45625252,45755189,45762876,45787347,45942761,45944418,46177694,46210879,46263401,46316729,46769102,46902424,46954169,47029962,47350229,47534441,47665781,47684604,48092770,48339854,48787049,48965055,49174709,49552024,49776034,49919081,50143639,50250581,50326889,50422476,50440971,50606069,50618664,50678702,51066494,51387641,51462869,51987449,52136681,52211189,52229392,52260821,52421635,52475880,52765227,52783384,52853909,53075129,53295701,53693716,53807849,54026261,54050489,54115492,54316469,54412949,54530702,54893429,54912734,54936010,55108601,55379092,55418261,55647339,55702901,55714264,55746027,55892021,55974272,55988050,56057081,56315669,56479721,56526521,56690069,56806649,56945997,57015989,57177304,57501929,57709109,57711324,58124059,58212821,58326761,58531349,58667381,58758066,58825721,58889294,58961129,59035365,59208629,59298389,59381307,59410409,59566901,59639534,59814898,59834261,59990116,60048775,60078329,60407572,60409589,61219001,61284149,61414229,61587221,61867241,61931669,62571989,62678009,62678547,62905962,62931641,62971056,63121109,63247061,63393641,63654415,63706421,63736852,63810281,64324467,64429241,64674809,64695221,64793410,64826702,65041001,65306739,65382655,65404601,65545301,65605481,65645561,65733122,65923212,65945141,66084329,66105854,66499541,66634852,66651902,66852629,66891701,66950249,67086581,67185660,67408755,67473941,67666421,67724009,67954072,68390549,68409449,68534104,68650539,69003134,69121721,69730901,69950261,69968489,70186601,70240949,70259102,70439609,70601429,70708949,70804412,70842438,71029781,71108620,71312789,71508014,71558741,71633770,71664704,71683059,71733461,71768309,71902672,71979412,72058530,72097769,72543929,72761455,72876184,73552889,73849961,73856887,73964789,74013881,74387861,74429716,74608984,74741621,74888050,75028181,75107321,75170489,75212414,75452971,75624629,75717749,75733241,75749055,75856889,75873027,75964661,76179029,76376681,76385298,76406969,76448331,76723061,76782869,76857449,76862432,76869652,77006009,77100867,77203864,77344661,77432309,77453299,77491864,77606741,77751221,77752092,77922111,78085732,78203026,78208181,78349301,78459186,78601301,78629141,78681374,78767861,78933269,79206389,79219961,79287701,79341749,79650041,79785199,79809209,79862009,79881902,80080984,80106772,80124089,80202651,80240981,80394254,80395829,80510116,80511209,80562281,80622792,80664041,80714729,80798992,80828309,80890506,80941241,81075374,81263849,81410921,81459689,81857141,81892841,81952181,81985707,81999509,82034921,82164149,82385081,82401855,82511669,82591721,82627867,82761941,83034370,83085929,83196089,83238424,83424821,83525546,83871701,83935107,84059395,84089849,84233321,84355049,84415481,84545429,84565301,84693689,84741235,84742709,84858466,84888569,84975221,85259381,85330344,85336975,85371029,85407989,85442379,85454009,85490681,85518101,85692572,85806101,85911989,85920761,85960524,85990649,85999349,86077289,86110334,86180201,86194339,86281961,86349161,86449001,86470236,86620949,86674072,86717621,86813141,86854347,86860469,86868329,86954261,87031541,87046901,87168629,87178347,87313746,87325289,87380115,87391349,87531544,87711929,87725801,87895312,87924014,87930041,87996521,88009721,88016309,88088249,88146389,88191161,88203881,88251902,88285781,88378601,88673944,88675001,88697849,88726229,88826741,88865129,88881461,88946069,89019989,89069102,89148089,89217641,89251829,89266361,89375381,89430581,89502389,89511221,89554901,89593529,89717609,89749481,89800181,89819321,89864441,89865660,89912021,89960455,89969516,90013289,90033401,90056501,90066281,90075989,90091107,90104681,90120341,90141929,90169109,90175061,90204341,90210101,90255029,90318581,90396149,90418709,90461429,90463481,90491369,90493301,90552569,90567221,90619349,90633209,90643829,90666089,90667061,90679829,90700641,90701909,90714389,90714809,90716789,90717881,90721781,90725429,90898866,90955672,91499102,91943635,92081812,92622014,92948824,93205456,93643227,93851155,93896702,93904460,94654744,95162174,95222872,95529055,95856704,95996637,97316547,97354574,97508331,98472987,98594702,98882226,98909464,99475672,99641244,99758187,...,524768151846480980370178869360023845641344885628484914815877187010261082732212326722963507529238937322453747856480645191211148634540249462556310600744943555353492357838870305549940695067053105828854060565079785981234338992601146053201085011542223277062287165707389088951197615422900523137714257200535888361252292199365968611372019153646016082452402803500989346673961496458438204057080901175518986277373617414565545275449481552155775455534552179279052044647565997564561889849167922660971720530110370091599477362549777161666101928591763566790498755052698601153983775230936144046464669679069764362722081684100146471103343203671569402397156942800991958620344823262487743598714435808950287163583939018130142333250949805869385372760606772534174608871138045966658239034188886183736886208478207166516491333238302482494393652738093326033849554255462818680526562236698901123976209072602262283026915019688742543788485001130170361715115957478232350749283118674543389920282571158611869853823462788933345807867021485171149027316135975913618471773666512040139432039134074009293991608460628863032629268572371416482983544953926800880678070698358916285396037038468872801855201561842456091640561606213247813373135037023153425024902947344589408212543010121678355551352842759746275725743570779646168317914121298729263486447276152502610663957538635568158783653059738097256005365071926130036429806951564465227644191703432176111093650627086738863055361143556434779928615173329127037207637403494739540337662320034855759265794602693152084599705220718399938859013771356104214983554647839234308039566244822426839065108153808838135156194943491346731230311504742942882326173045963988001310817925941668195878427648769715149251281854605554382458586813062995571086749565053338440108293137216851284915454193435811348677566826139778192990152750303259646538913265773873079666318631121368743429378916410356904846136577441100316331953355375803793408691042813545623084530295607018834159675470914617002045197112083934980739931064040358190131806532658216900291720960944185947492359614981987782225000001850602465977802224862200225569359081824206779055633728501654749947666755629404735781445971307256342358398975188782204704482334891381219316310673069933078219971228252478339529806246532366619494168856140616053897549987703010397108887716873381694425506304292605407576987593546356254738540204105977963178251344203889642301662132170077416712097396724238762193941693643173407690498183095658638844406587561488632673130937558824732027534096591725923088546825561028396986617404088082150085313668221723211470401799279253938847119004394186682910892397657562341071992251873891182803394172681318451767548030776071231209971998375294115926904761190880570395100534628464704059053949535259887136717073295279126545551883353630795028083417131322960317068511951720901825207585379948915753222095905143309492747410098737338987642098483913521757458618573347698692940690485071066690332070256240304680956528184822484169083250077174758196306305421855517733136811970577266981991395574413254384249}
19051   7221335152582034857704267099364744196554058391068365603793116445836454: {19051,628221,932813,970581,1332590,1599108,1731821,1903700,2284440,2436736,2474030,2569995,2679141,2741328,2930774,2968836,3083994,3516665,4125821,4186820,4219998,5024184,5062053,5652207,5719301,5740941,5894030,6357965,6482069,6863693,6925145,7072836,7166393,7434381,7460152,7629558,7719278,7772421,8170430,8306933,8310174,8392671,8447853,9139481,9429581,9804516,9991275,10132653,10657360,10906574,11027540,11191589,11369774,11894375,11989530,12013565,12127742,12282398,12734909,12788832,12865013,13233048,13470830,13983101,14154141,14273250,14387436,14416278,14556893,14865038,14887179,15224800,15466814,15580820,16164996,16499812,16817213,17127900,17343221,17813181,18269760,18378590,18696984,19111853,19241156,19467741,19470893,19487744,19675001,20027054,20553480,20939102,21034107,21268733,21923712,21979028,22030358,22054308,23122665,23571160,23666813,24024590,24071781,24122309,24634742,24664176,24776030,25705821,26296133,26421461,26517555,27448996,27643661,27747198,28285392,28309053,28782041,28829508,29731236,30870616,31222061,31471940,31720661,31821066,32416132,32509821,32950742,33019301,33797813,34150493,34200158,34275965,34682774,34729443,35593348,35612381,35716341,35851469,37311501,37469972,37548269,37569688,37766328,38059838,38112665,39370072,39535653,40206116,40619093,41032598,41039621,41131158,41344575,41749221,42265899,42487119,42877061,43019645,43358021,43638141,43843358,43884893,44100880,44291331,45132062,45315230,45469528,45700718,45735198,45916395,46185461,46256174,46308760,46769061,46969613,47056238,47170430,47429933,48282590,48437645,48736493,48749981,48977488,49119256,49546820,49613490,49697981,50030141,50497653,50847640,50874830,51151382,51153219,51623574,51720398,52097355,52658301,52727775,52837334,52921056,54378276,54662375,55099674,55259163,55570512,55962365,56242960,56497145,56511053,56604516,57031565,57203595,57252621,57793142,57939108,58125174,58390541,58431638,58437293,58628030,58773261,58891001,59235389,59456184,59459813,59536188,59605755,59683053,59758838,59783993,59967341,60182356,60401981,61017168,61049796,61259224,61301981,61940030,61989533,62516826,62706616,62734421,62914838,63028095,63273330,63579472,63766661,63900269,65282861,65286740,65594850,65979230,66888207,67076942,67117145,67154838,67189053,67229968,67254628,67318238,67491552,67553381,67644365,67796574,67805381,67893113,68437878,68519321,68644314,68853398,68916627,69082613,69223865,69266541,69352022,69642830,69967840,70070861,70153653,70353636,70544943,70677881,70699118,71471630,71526906,71754749,72069821,72139155,72403013,72509781,72686798,72833621,74196452,74266742,74328036,74357198,74664051,74755421,74987645,75217001,75509465,75633714,75839813,75927996,76018053,76590101,76599741,76632278,76908398,76948432,76994921,77589701,77797709,78344088,78713820,78877781,79175076,79213853,79586213,79671065,80221598,80540574,81173238,81229598,81330221,81484133,81554774,81796053,81811853,81929081,81929198,81938189,82369101,82404015,82477142,82822901,83068638,83293565,83320013,83404694,83571396,83874616,83961408,83982075,84237401,84315101,84918413,84942590,85339013,85667630,85765956,86545781,86566986,87041213,87075652,87174893,87897616,88137099,88153493,88325789,88326713,88333941,88505515,88579613,88773461,88885775,89079341,89146493,89459301,89580880,89722347,89878340,89969141,89974265,89985174,90611358,91095230,91132109,91534052,92493701,93037145,93119318,93261230,93416741,93953741,94079222,94358943,94456584,94772894,94849838,95183501,95577412,95605278,96078040,96087065,96137078,96493358,96504830,96864830,96902813,97154681,97190115,97240053,97607165,98309774,98599683,98884818,99158781,99388421,99661694,99952278,99977853,...,699690869128641307160238492480031794188459847504646553087836249347014776976283102297284676705651916429938330475307526921614864846053665950075080800993258073804656477118493740733254260089404141105138747420106381308312451990134861404268113348722964369416382887609852118601596820563867364183619009600714517815003056265821291481829358871528021443269870404667985795565281995277917605409441201567358648369831489886087393700599308736207700607379402905705402726196754663419415853132223896881295627373480493455465969816733036215554802571455684755720665006736931468205311700307914858728619559572093019150296108912133528628137790938228759203196209257067989278160459764349983658131619247745267049551445252024173523111001266407825847163680809030045566145161517394622210985378918514911649181611304276222021988444317736643325858203650791101378466072340617091574035416315598534831968278763469683044035886692918323391717980001506893815620154609970976467665710824899391186560376761544815826471764617051911127743822695313561532036421514634551491295698222016053519242718845432012391988811280838484043505691429828555310644726605235734507570760931145221713861382717958497069140268749123274788854082141617663751164180049364204566699870596459452544283390680162237807401803790346328367634324761039528224423885495064972351315263034870003480885276718180757545044870746317463008007153429234840048573075935419286970192255604576234814791534169448985150740481524741913039904820231105502716276849871326319387116883093379807679021059470257536112799606960957866585145351695141472286644739530452312410719421659763235785420144205078450846874926591321795641640415339657257176434897394618650668414423901255557594504570198359620199001709139474072509944782417417327428115666086737784586811057516289135046553938924581081798236755768186370923986870333737679528718551021031830772888424841495158324572505221880475873128182103254800421775937807167738391211588057084727497446040394142691778879567294552822669393596149445246640986574752053810920175742043544289200388961281258914596656479486642650376300000002467469954637069633149600300759145442432275705407511638002206333263555674172539647708594628409675123144531966918376272939309779855174959088414230759910770959961637669971119373074995376488825992225141520821405196733316937347196145183622497842259234008405723473876769316791395141672984720272141303950904335125605186189735549509560103222282796528965651682925255591524231210253997577460878185125875450081984843564174583411766309370045462122301230784729100748037862648823205450776200113751557628964281960535732372338585129492005858915577214523196876749788095989669165188243737858896908424602356730707701428308279962664500392154569206348254507427193467379504619605412071932713679849515622764393705502060735844471507726704111222841763947089424682602294535766943447173265221004296127873524412656996546798316451983522797978551362343278158097796931590587587313428088920442760341653739574608704246429978892111000102899677595075073895807356977515749294103022642655194099217672512332}
19052   7250063951704999906380051215635317301099172701010480598878826234074944: {494962,723178,817387,837628,1294108,1385467,1406962,1498867,1558738,1998885,2132144,2379625,2398662,2628907,2695018,2855550,3045920,3426660,3572188,3639787,3655104,3711045,3903082,3958448,4111992,4396161,4453254,4625991,4956778,5182162,5233525,5257258,5626664,5707498,6280230,6329997,6527633,6698912,6749404,6830578,6967267,7204138,7536276,7654588,7950058,8841045,9257947,9325190,9430448,9659602,9881962,9912508,10172744,10363228,10400242,10552651,10609254,10991602,11080232,11089051,11190228,11263804,11303107,11410027,11444337,11508202,11578917,12255645,12369067,12391978,12465261,12612562,13053298,13072688,13321700,13420138,13510204,13533307,13744051,13784425,14152618,14518258,14706774,15002467,15106867,15523747,15986040,16043227,16122322,16359861,16541310,16664227,16994002,17051776,17054661,17211562,17356522,17644064,17898451,17984295,18191613,18205387,18423597,18715507,18872188,18874738,19031000,19122307,19183248,19221704,19476025,19629187,19849572,20134267,20206245,20235067,20242282,20601202,20624765,20938651,21031378,21409875,21439051,21553328,21581154,21624417,21638707,21890002,22104298,22297557,22389802,22746322,22837200,22929451,23126947,23200221,23371230,23750908,24026482,24051445,24247494,24359680,24749718,24929312,25089322,25183267,25571347,25691850,25861651,25956988,26007538,26054827,27011789,27016387,27063658,27204202,27404640,27473785,27567885,27835858,28045476,28065787,28255651,28861734,28917907,29012227,29095282,29231616,29388787,29405744,29463950,29932018,30040581,30140842,30325147,30418387,30558058,30830220,31252138,31408653,31992451,32013778,32095708,32873477,32885568,32911402,32968542,33045537,33081462,33324778,33668818,34088947,34269451,34274428,34311245,34448813,34492882,35356740,35435707,35792938,36036885,36058651,36406738,36952113,36996264,37164045,37381651,37713856,37745404,38172658,38240362,38428387,38439344,38443378,38588270,38688451,39109741,39186538,39254002,39339925,39641648,39785837,40465618,40520165,41173494,41620797,41771561,42406762,42428088,42855302,42979349,43244262,43272562,43346428,43604842,43753651,43918027,44000107,44327707,44409427,44491685,44596854,44797738,45545947,45787858,46182898,46248682,46305924,46837465,46840018,46962110,47207910,47621788,47731599,48345322,48403627,48624198,48801778,48948451,49180867,49212590,49426113,49748668,50166442,50256907,50257645,50296042,50355104,51072298,51092467,51136882,51300237,51647453,51717418,52024161,52039378,52143307,52217827,52617898,52714204,52885267,53002858,53106451,53390022,53601821,53620027,53643178,54057427,54345682,54536938,54564451,54612857,54791722,54841544,54868289,54924451,55126100,55139587,55173418,55300522,55632038,55665628,55781107,55871698,56061802,56204958,56354532,56441578,56649492,56697451,56836910,57089757,57185827,57255307,57640402,57829162,57877387,57885950,57954922,58184188,58561747,58826222,58958698,59055108,59271538,59440651,59708842,60020722,60309174,60439651,60829738,60980264,61221860,61399070,61548897,61617067,61696737,61933525,62358748,62389051,62439658,62707651,63150667,63547882,63559550,63839707,63977458,64161322,64704067,65566162,65674627,65765037,65974147,66151320,66174322,66390451,66508747,66674509,66685651,66720298,66979051,67095907,67329878,67330204,67385842,67698093,67733467,67972845,68020387,68109682,68204292,68290282,68419051,68551077,68602797,68701651,68711122,68831432,69071218,69370858,69372547,69384261,69427987,69463140,69978427,70088362,70211068,70267378,70303700,70467667,70561408,70584357,70690334,70755645,70803562,71323027,71575762,71848267,72049618,72423885,72504368,72994258,73079467,73390289,73466232,73523818,73678884,73877227,74094016,74320230,74345002,74420235,74754418,75227945,75279658,75472688,75651451,75744547,76271460,76312245,76336828,76433587,76574030,76673962,76727073,76910414,77252144,77309938,77371027,77435361,77458651,77500232,77580597,77978347,78364348,78383270,78403882,78518698,78613387,78690802,78821467,78862867,79232227,79256001,79263442,79274912,79381584,79434907,79474340,79577404,79606258,79675747,79720402,79755451,79874467,79891498,80149651,80403922,81255082,81289051,81356224,81399427,81399728,81567414,81608425,81723301,82102642,82294027,82536451,82605067,82639267,82649511,82809187,82834282,83110507,83339218,83355768,83535451,83619178,84037460,84068285,84345202,84364440,84906774,84999067,85394707,85422427,85829587,85882651,85935427,86010322,86014051,86451922,86472187,86689713,86836147,86883451,86908662,87187761,87296227,87403382,87406747,87459800,87493867,87558451,87601147,87647457,87934762,87942045,87989458,88032067,88207027,88394587,88590058,88592587,88881451,88962451,89041651,89116181,89134378,89149507,89171693,89184276,89304282,89311867,89451907,89539784,89585404,89622898,89638257,89734651,89770507,89885347,89929267,89988736,90093427,90112651,90186667,90273534,90343987,90380242,90395432,90402451,90481507,90511387,90565747,90604051,90625651,90663451,90685627,90701827,90710774,90726451,90729547,90733651,90736027,90737107,90919282,91026898,91250504,91510378,91525752,91535717,91574694,91885522,91888836,92355388,92421758,92526802,92633458,92745565,92910045,93351913,93538204,93775239,93804848,93908338,94059924,94372257,94700458,94909995,95068882,95331562,95369208,96185540,96679708,97574098,97930110,98349418,98392275,98968845,99104048,99552068,99838162,...,1049536303692961960740357738720047691282689771256969829631754374020522165464424653445927015058477874644907495712961290382422297269080498925112621201489887110706984715677740611099881390134106211657708121130159571962468677985202292106402170023084446554124574331414778177902395230845801046275428514401071776722504584398731937222744038307292032164904805607001978693347922992916876408114161802351037972554747234829131090550898963104311550911069104358558104089295131995129123779698335845321943441060220740183198954725099554323332203857183527133580997510105397202307967550461872288092929339358139528725444163368200292942206686407343138804794313885601983917240689646524975487197428871617900574327167878036260284666501899611738770745521213545068349217742276091933316478068377772367473772416956414333032982666476604964988787305476186652067699108510925637361053124473397802247952418145204524566053830039377485087576970002260340723430231914956464701498566237349086779840565142317223739707646925577866691615734042970342298054632271951827236943547333024080278864078268148018587983216921257726065258537144742832965967089907853601761356141396717832570792074076937745603710403123684912183281123212426495626746270074046306850049805894689178816425086020243356711102705685519492551451487141559292336635828242597458526972894552305005221327915077271136317567306119476194512010730143852260072859613903128930455288383406864352222187301254173477726110722287112869559857230346658254074415274806989479080675324640069711518531589205386304169199410441436799877718027542712208429967109295678468616079132489644853678130216307617676270312389886982693462460623009485885764652346091927976002621635851883336391756855297539430298502563709211108764917173626125991142173499130106676880216586274433702569830908386871622697355133652279556385980305500606519293077826531547746159332637262242737486858757832820713809692273154882200632663906710751607586817382085627091246169060591214037668319350941829234004090394224167869961479862128080716380263613065316433800583441921888371894984719229963975564450000003701204931955604449724400451138718163648413558111267457003309499895333511258809471562891942614512684716797950377564409408964669782762438632621346139866156439942456504956679059612493064733238988337712281232107795099975406020794217775433746763388851012608585210815153975187092712509477080408211955926356502688407779284603324264340154833424194793448477524387883387286346815380996366191317277688813175122977265346261875117649464055068193183451846177093651122056793973234808176164300170627336443446422940803598558507877694238008788373365821784795315124682143984503747782365606788345362636903535096061552142462419943996750588231853809522381761140790201069256929408118107899070519774273434146590558253091103766707261590056166834262645920634137023903441803650415170759897831506444191810286618985494820197474677975284196967827043514917237146695397385881380970142133380664140512480609361913056369644968338166500154349516392612610843711035466273623941154533963982791148826508768498}
19053   7278906221295913546427968083353509208618655902274231424544385153572713: {38102,742443,1047035,1084767,1256442,1617635,1865626,1941162,2110443,2302751,2338107,2665180,3198216,3463642,3597993,3807400,4042527,4283325,4465235,4568880,4873472,4923331,4948060,5139990,5358282,5482656,5854623,5861548,5937672,6065147,6167988,6679881,7033330,7434083,7435167,7660627,7773243,7885887,8251642,8373640,8436755,8439996,8561247,8569451,8901151,9420345,9568235,9695203,10048368,10124106,10245867,10806207,11304414,11438602,11481882,11788060,11925087,12390635,12673667,12715930,12954035,12964138,13727386,13850290,13987785,14079755,14145672,14332786,14489403,14822943,14868762,14920304,15050347,15259116,15438556,15544842,15600363,15913881,16340860,16487403,16525483,16613866,16620348,16652125,16785342,16818991,16887755,16895706,17262303,17309567,18278962,18587967,18859162,18918843,19579947,19609032,19982550,20130207,20265306,21228927,21314720,21777387,21813148,21989707,22055080,22060161,22383178,22739548,23590235,23788750,23979060,24027130,24183483,24255484,24564796,24811965,25299007,25469818,25491003,25577664,25730026,25817343,25982251,26034783,26466096,26941660,27250751,27966202,28308282,28312107,28546500,28666811,28774872,28832556,29113786,29688635,29730076,29774358,30186043,30363423,30449600,30901803,30933628,30960047,31161640,31225363,31547067,32329992,32371731,32446235,32835003,32999624,33156447,33584703,33634426,34119483,34255800,34686442,35056845,35626362,35907707,36039723,36169823,36371241,36539520,36757180,37124577,37393968,37633983,38223706,38482312,38537775,38935482,38941786,38975488,39011307,39350002,40054108,40119635,40595487,40806303,41106960,41197907,41753787,41878204,41880431,42068214,42537466,42843035,43292601,43642923,43847424,43958056,44015771,44060716,44108616,44195925,44375227,44898027,45211263,45837087,46245330,46878207,47142320,47181755,47333626,47986351,48020667,48049180,48143562,48244618,49165283,49269484,49328352,49367103,49433087,49452813,49552060,49622193,49987167,50503227,51411642,51739323,52540031,52592266,52842922,53035110,53222123,53357731,53569091,53689407,54183035,54610107,54897992,55287322,55494396,55549307,56570784,56618106,56942687,57258987,57360543,57564082,57659016,57665067,57882405,58699451,58779807,58881003,59462472,59527235,60227503,60408367,60428027,60698427,61741232,61760241,61971347,62185835,62444122,62943880,63091811,63441322,63610143,63642132,63907027,64078751,64282953,64832264,64866393,64908843,65019642,65407263,65892755,65901484,66038602,66895281,67196607,67595626,67812703,67900291,68300986,68400316,68551930,68681787,68907625,69007003,69274347,69365548,69373023,69458886,69582035,70260027,70443165,70811865,71186696,71224762,71432682,71702938,72077443,72517983,72730235,72936297,73202667,73818885,74478683,74623002,74939944,75096538,75139376,75249663,75444063,75532656,76119676,76225330,76372211,76527325,76608447,76705323,77576127,77948435,78059067,78310451,78347311,78740144,78886123,78926847,79071306,79096003,79129811,79504287,79844191,80085033,80412232,80464767,81238186,81518523,81805407,82065196,82079242,82187583,82262316,82689150,82759727,82760127,82950783,83215883,83448057,83498442,83807547,83934083,84092703,84162755,84246307,84307437,84531798,84662367,84801067,84927391,84974238,85255365,85754122,86039290,86053147,86460603,86716042,86743743,86828925,86932383,87276282,87559067,87686716,87763835,87769786,87879625,88201760,88239333,88438047,88582662,88907307,89203187,89563263,90031083,90264124,90463761,90630460,90939056,91141747,91244607,91401436,91470396,91830827,91832790,91942747,92098605,92370922,92503483,92512348,92607167,92617520,93358883,93538122,93659487,93939226,93964003,94112476,94340860,94702111,94859866,95043071,95294527,95321823,95330351,95339325,95421035,95966187,96241983,96565180,96875290,96913411,97472986,97499962,97954976,97955435,98170463,98238512,98349243,98718091,99093640,99226980,99261483,99342925,99395962,99471755,...,1574304455539442941110536608080071536924034656885454744447631561030783248196636980168890522587716811967361243569441935573633445903620748387668931802234830666060477073516610916649822085201159317486562181695239357943703016977803438159603255034626669831186861497122167266853592846268701569413142771601607665083756876598097905834116057460938048247357208410502968040021884489375314612171242703526556958832120852243696635826348444656467326366603656537837156133942697992693685669547503767982915161590331110274798432087649331484998305785775290700371496265158095803461951325692808432139394009037209293088166245052300439413310029611014708207191470828402975875861034469787463230796143307426850861490751817054390426999752849417608156118281820317602523826613414137899974717102566658551210658625434621499549473999714907447483180958214279978101548662766388456041579686710096703371928627217806786849080745059066227631365455003390511085145347872434697052247849356023630169760847713475835609561470388366800037423601064455513447081948407927740855415320999536120418296117402222027881974825381886589097887805717114249448950634861780402642034212095076748856188111115406618405565604685527368274921684818639743440119405111069460275074708842033768224637629030365035066654058528279238827177230712338938504953742363896187790459341828457507831991872615906704476350959179214291768016095215778390109289420854693395682932575110296528333280951881260216589166083430669304339785845519987381111622912210484218621012986960104567277797383808079456253799115662155199816577041314068312644950663943517702924118698734467280517195324461426514405468584830474040193690934514228828646978519137891964003932453777825004587635282946309145447753845563816663147375760439188986713260248695160015320324879411650553854746362580307434046032700478419334578970458250909778939616739797321619238998955893364106230288136749231070714538409732323300948995860066127411380226073128440636869253590886821056502479026412743851006135591336251804942219793192121074570395419597974650700875162882832557842477078844945963346675000005551807397933406674586600676708077245472620337166901185504964249843000266888214207344337913921769027075196925566346614113447004674143657948932019209799234659913684757435018589418739597099858482506568421848161692649963109031191326663150620145083276518912877816222730962780639068764215620612317933889534754032611668926904986396510232250136292190172716286581825080929520223071494549286975916533219762684465898019392812676474196082602289775177769265640476683085190959852212264246450255941004665169634411205397837761816541357013182560048732677192972687023215976755621673548410182518043955355302644092328213693629915995125882347780714283572641711185301603885394112177161848605779661410151219885837379636655650060892385084250251393968880951205535855162705475622756139846747259666287715429928478242230296212016962926295451740565272375855720043096078822071455213200070996210768720914042869584554467452507249750231524274588918916265566553199410435911731800945974186723239763152747}
19054   7307862406304039409469768162485655545749020723192704849035274940142338: {57153,323629,437713,779533,989924,1007053,1446356,1634774,1675256,1884663,2027329,2588216,2591629,2770934,2798439,2813924,2911743,2997734,3117476,3331475,3997770,4264288,4719553,4759250,4797324,4830829,5195463,5257814,5275213,5390036,5711100,5829073,6091840,6185075,6601453,6853320,7144376,7150993,7279574,7310208,7326935,7422090,7709985,7806164,7916896,8037423,8223984,8571373,8680129,8792322,8906508,9251982,9913556,10364324,10467050,10514516,10549995,10947373,11253328,11414996,11802733,12015853,12377463,12547393,12560460,12659994,12865453,13055266,13397824,13498808,13605073,13661156,13934534,14408276,14550829,14735075,14969293,15072552,15186159,15309176,15698833,15900116,16528273,16956621,17157903,17222823,17661229,17682090,18275533,18515894,18650380,18860896,19073895,19298195,19319204,19446207,19698829,19763924,19825016,20345488,20426075,20591079,20606353,20726456,20775435,20800484,20807233,21105302,21218508,21499179,21707629,21983204,22160464,22178102,22303143,22380456,22527608,22606214,22820054,22888674,23016404,23157834,23195329,23317263,24276013,24511290,24738134,24783956,24920799,24930522,25153729,25178013,25225124,25343559,26025613,26106596,26145376,26643400,26840276,27020408,27066614,27266435,27418443,27465793,27488102,27568850,27656593,28288743,28305236,28424435,28511629,28874671,28984129,29036516,29413548,29830093,29973825,30004934,30017293,30213734,30319355,30397959,30705995,31047494,31412113,31781329,31972080,32086454,32149393,32244644,32719722,33064513,33082620,33328454,33574767,33672023,33677075,33988004,34103552,34109322,34423124,34513729,34713044,35288128,35683125,35766673,35796902,35968590,36040695,36383226,36387853,36410774,36847194,37162595,37431014,37707073,37744376,37749476,38056129,38062000,38204727,38244614,38366496,38443408,38463299,38595039,38667035,38952050,39258374,39268753,39698413,39699144,39869773,40268534,40296913,40412490,40470134,40484564,40637329,41202404,41249530,41877302,41949303,42062756,42462423,42819750,42878102,43070893,43106656,43162308,43236493,43248834,43277414,43670679,43710887,43780004,44060173,44208596,44595114,44661537,44779604,44876653,45492644,45524653,45674400,45858902,45946475,46007629,46220603,46253894,46328173,46400442,46742460,47203729,47501816,47598829,47677633,48035743,48052964,48102890,48494988,48719360,49238593,49499436,49858624,50067635,50178644,50314129,50366534,50451639,51142694,51375553,51383700,51450829,51723302,51913976,52015076,52029663,52109654,52274113,52347755,52867393,52902047,53309329,53382733,53439543,54023578,54032774,54127316,54408404,54763729,54809280,54947570,55075895,55122829,55135770,55408813,55551373,55671716,56090952,56131574,56470993,56511302,56541229,56728231,57335559,57586129,57723468,57835814,58024454,58190564,58205293,58403223,58412679,58463232,58777574,58811488,58886413,58927900,59025003,59291629,59358913,59627329,59864036,60061475,60081162,60227053,60281684,60429611,60650294,60836774,61037899,61116116,61586855,61660440,61926829,61940075,62288359,62503873,62504276,62817306,62821933,63102321,63138193,63264193,63806199,63827629,63984902,64027556,64191416,64446829,64692493,65119633,65422573,65572451,65663629,65746954,65771136,65822804,65937084,66091074,66162924,66649556,66910273,67337636,67781293,67953553,68177894,68538902,68548856,68622490,68897626,68985764,69141229,69367995,69970129,70024813,70297153,70360703,70459693,70713480,70871414,71000439,71050129,71272751,71579329,71585876,71631853,71788993,72073770,72117302,72215343,72366927,72667213,72813476,72870829,72921553,73174093,73904226,73992528,74068333,74328090,74361229,74555053,74763302,74795713,75271633,75427712,75490808,75786829,76247629,76345316,76429933,76480724,76856774,76878688,76886756,76969933,77117463,77176540,77368129,77376902,77630353,77803729,78219482,78373076,78401473,78508004,78653329,78679850,78695053,78797147,78888399,79026253,79108333,79230913,79264383,79283296,79312273,79552665,79571674,80110033,80421073,80931236,81040330,81907153,81978433,82084813,82346988,82376855,82503853,82930983,83241594,83278033,83343553,83473729,83543122,83634829,83920273,84107329,84291793,84443533,84593473,84813524,84856176,84927159,84974893,85003729,85118353,85288129,85500395,85565329,85592653,85710604,85958698,86346123,86378893,86478829,86488524,86545124,86692856,86706935,86984593,87077329,87209684,87214273,87436753,87507302,87756973,87836054,87921133,88000214,88041229,88060993,88235629,88655414,88672813,88775629,88818854,88924993,88983370,89191213,89193708,89408833,89464129,89544913,89595476,89597329,89898829,89953729,90017233,90145933,90164653,90210193,90245329,90279313,90320173,90431953,90445633,90658753,90670093,90717073,90741229,90754513,90760129,90763693,91091894,91337807,91575716,92365796,92497364,92611848,93666183,93674930,93680036,93924220,94415820,95149595,95161983,95243576,95463198,96582083,96690644,96807254,97248396,97529463,97603556,97896902,98361734,98425180,98852226,99057903,99497336,...,2099072607385923921480715477440095382565379542513939659263508748041044330928849306891854030116955749289814991425922580764844594538160997850225242402979774221413969431355481222199762780268212423315416242260319143924937355970404584212804340046168893108249148662829556355804790461691602092550857028802143553445009168797463874445488076614584064329809611214003957386695845985833752816228323604702075945109494469658262181101797926208623101822138208717116208178590263990258247559396671690643886882120441480366397909450199108646664407714367054267161995020210794404615935100923744576185858678716279057450888326736400585884413372814686277609588627771203967834481379293049950974394857743235801148654335756072520569333003799223477541491042427090136698435484552183866632956136755544734947544833912828666065965332953209929977574610952373304135398217021851274722106248946795604495904836290409049132107660078754970175153940004520681446860463829912929402997132474698173559681130284634447479415293851155733383231468085940684596109264543903654473887094666048160557728156536296037175966433842515452130517074289485665931934179815707203522712282793435665141584148153875491207420806247369824366562246424852991253492540148092613700099611789378357632850172040486713422205411371038985102902974283118584673271656485194917053945789104610010442655830154542272635134612238952389024021460287704520145719227806257860910576766813728704444374602508346955452221444574225739119714460693316508148830549613978958161350649280139423037063178410772608338398820882873599755436055085424416859934218591356937232158264979289707356260432615235352540624779773965386924921246018971771529304692183855952005243271703766672783513710595078860597005127418422217529834347252251982284346998260213353760433172548867405139661816773743245394710267304559112771960611001213038586155653063095492318665274524485474973717515665641427619384546309764401265327813421503215173634764171254182492338121182428075336638701883658468008180788448335739922959724256161432760527226130632867601166883843776743789969438459927951128900000007402409863911208899448800902277436327296827116222534914006618999790667022517618943125783885229025369433595900755128818817929339565524877265242692279732312879884913009913358119224986129466477976675424562464215590199950812041588435550867493526777702025217170421630307950374185425018954160816423911852713005376815558569206648528680309666848389586896955048775766774572693630761992732382634555377626350245954530692523750235298928110136386366903692354187302244113587946469616352328600341254672886892845881607197117015755388476017576746731643569590630249364287969007495564731213576690725273807070192123104284924839887993501176463707619044763522281580402138513858816236215798141039548546868293181116506182207533414523180112333668525291841268274047806883607300830341519795663012888383620573237970989640394949355950568393935654087029834474293390794771762761940284266761328281024961218723826112739289936676333000308699032785225221687422070932547247882309067927965582297653017536996}
19055   7336932953410838668066686710057489589775216643830732301502065496914922: {76204,1237405,1465849,1484886,1807945,2094070,2169534,2264689,2452161,2512884,2721433,3235270,3517405,3731252,3882324,3896845,4156401,4220886,4496601,4605502,4676214,5330360,5996655,6251329,6396432,6483433,6737545,6927284,7138875,7167901,7195986,7614800,7886721,8085054,8308681,8566650,8930470,8987473,9137760,9371437,9746944,9757705,9846662,9896120,10055761,10127533,10279980,10716564,10919361,10965312,11133135,11709246,11723096,11811457,11875344,11951629,12130294,12335976,12391945,12955405,13143145,13188483,13359762,13395529,13547713,13877973,14066660,14268745,14817913,14868166,14870334,15321254,15546486,15700575,15771774,16503284,16747280,16873510,16879992,17076445,17122494,17138902,17346889,17802302,18010345,18135649,18840690,18989991,19035937,19136470,19390406,19582899,19711657,19875145,20096736,20216449,20248212,20456761,20491734,20901801,21612414,22608828,22877204,22963764,23135401,23312975,23576120,23642857,23850174,24149005,24704905,24781270,25347334,25431860,25461937,25746361,25868377,25908070,25928276,26000605,26427049,26523135,27253633,27454772,27479005,27700580,27773841,27975570,28159510,28291344,28665572,28770505,28978806,29161501,29645886,29737524,29840608,30100694,30518232,30877112,30979945,31089684,31200726,31531405,31657953,31827762,31832161,31893613,32039377,32205433,32633245,32681720,32974806,33026329,33050966,33227732,33240696,33267153,33304250,33550345,33570684,33637982,33775510,33791412,33909321,34230081,34333011,34524606,34619134,34736751,35381545,36295645,36557924,36766935,36837337,37107201,37175934,37395783,37718324,37837686,39159894,39218064,39965100,40260414,40305805,40530612,40599921,40828849,41232153,41353275,41387497,41564089,42436381,42457854,42485005,42629440,43028905,43207561,43391305,43407577,43554774,43626296,43979414,44110160,44120322,44658337,44766356,45007401,45320601,45424729,45479096,46571241,47180470,47186845,47577500,47958120,48054260,48129681,48366966,48510968,49079583,49129592,49170481,49194097,49623930,49773769,49846753,49992681,50598014,50605705,50939636,50982006,51155328,51163983,51460052,51503005,51634686,51887473,51964502,52047409,52069566,52578445,52932192,53110849,53695353,53883320,53952885,54321049,54501502,54574839,54616161,54725005,55260745,55270791,55932404,55962313,55974505,56146521,56167489,56616564,56624214,56865805,57093000,57333622,57366921,57387937,57549744,57665112,58227572,58420921,58428075,58705657,58887561,59377270,59460152,59548716,59796637,59871337,59980249,60066205,60372086,60402801,60618735,60705201,60726846,60899200,61803606,61867256,61874295,61920094,61977901,62323280,62450726,62723305,62747689,62815953,63094134,63732337,64229625,64317153,64490833,64659984,64743462,64873251,64892470,64916121,65018845,65649181,65670006,65999248,66054457,66245233,66312894,66892671,67169406,67268852,67659145,68010505,68134033,68238966,68511600,68788353,69372884,69380841,69589645,69600663,69605017,70113690,70514377,70692829,70739881,71252724,71414941,71815414,72079446,72154335,72339646,72577153,72738205,72742482,73079040,73514360,73659875,74249154,74787936,74830045,74868649,75039961,75232909,75267966,75352105,75549801,75729433,75856249,76395145,76447412,76607113,76714041,76964624,77011309,77075550,77584953,77870964,77883572,77950976,78022614,78130345,78164481,78318733,78618793,78700004,79138177,79861153,80034445,80108216,80164129,80239270,81035367,81049161,81190974,81612606,82130473,82213920,82278505,82395814,82421355,82703655,83224681,83240881,83311945,83338129,83507574,83626321,83756408,83760862,84136428,84172045,84197361,84766953,85074932,85357177,85686070,85910557,86215249,86232205,86585202,86753721,87036681,87060169,87285846,87694848,87916112,88031542,88121432,88166361,88172137,88217232,88391850,88750454,89212621,89482345,89602189,89796054,89988169,90121743,90422526,90975441,91016845,91255161,91334137,91674174,91830241,92249857,92490660,92616961,93436849,93756414,93808681,94225959,94234393,94284640,94363510,94667252,95340433,95431645,95600905,95746393,95972702,95977353,96041334,96098360,96108445,96287124,96470675,96489236,96819577,97414849,97757089,97966345,98015713,98135005,98330566,98538968,98620431,98656704,98734206,98866174,98905626,99035401,99104120,99136611,99244386,99974334,...,3148608911078885882221073216160143073848069313770909488895263122061566496393273960337781045175433623934722487138883871147266891807241496775337863604469661332120954147033221833299644170402318634973124363390478715887406033955606876319206510069253339662373722994244334533707185692537403138826285543203215330167513753196195811668232114921876096494714416821005936080043768978750629224342485407053113917664241704487393271652696889312934652733207313075674312267885395985387371339095007535965830323180662220549596864175298662969996611571550581400742992530316191606923902651385616864278788018074418586176332490104600878826620059222029416414382941656805951751722068939574926461592286614853701722981503634108780853999505698835216312236563640635205047653226828275799949434205133317102421317250869242999098947999429814894966361916428559956203097325532776912083159373420193406743857254435613573698161490118132455262730910006781022170290695744869394104495698712047260339521695426951671219122940776733600074847202128911026894163896815855481710830641999072240836592234804444055763949650763773178195775611434228498897901269723560805284068424190153497712376222230813236811131209371054736549843369637279486880238810222138920550149417684067536449275258060730070133308117056558477654354461424677877009907484727792375580918683656915015663983745231813408952701918358428583536032190431556780218578841709386791365865150220593056666561903762520433178332166861338608679571691039974762223245824420968437242025973920209134555594767616158912507598231324310399633154082628136625289901327887035405848237397468934561034390648922853028810937169660948080387381869028457657293957038275783928007864907555650009175270565892618290895507691127633326294751520878377973426520497390320030640649758823301107709492725160614868092065400956838669157940916501819557879233479594643238477997911786728212460576273498462141429076819464646601897991720132254822760452146256881273738507181773642113004958052825487702012271182672503609884439586384242149140790839195949301401750325765665115684954157689891926693350000011103614795866813349173201353416154490945240674333802371009928499686000533776428414688675827843538054150393851132693228226894009348287315897864038419598469319827369514870037178837479194199716965013136843696323385299926218062382653326301240290166553037825755632445461925561278137528431241224635867779069508065223337853809972793020464500272584380345432573163650161859040446142989098573951833066439525368931796038785625352948392165204579550355538531280953366170381919704424528492900511882009330339268822410795675523633082714026365120097465354385945374046431953511243347096820365036087910710605288184656427387259831990251764695561428567145283422370603207770788224354323697211559322820302439771674759273311300121784770168500502787937761902411071710325410951245512279693494519332575430859856956484460592424033925852590903481130544751711440086192157644142910426400141992421537441828085739169108934905014499500463048549177837832531133106398820871823463601891948373446479526305494}
19056   7366118311036664884367273614560116948310008071860142058974123337054719: {95255,114306,361703,647258,817559,875426,893423,1559066,1574759,1839023,1979848,2014106,2065223,2227329,2591903,2629463,2892712,2967143,3141105,3254301,3269548,3350512,3715223,3769326,4054658,4664065,4852905,4942559,5053703,5176432,5183258,5312759,5541868,5596878,5627848,5755943,5823486,5866559,5995468,6234952,6308303,6331329,6662950,6908253,7014321,7808903,7995540,8172863,8528576,8608559,8659105,9332159,9439106,9518500,9594648,9661658,10257709,10390926,10411559,10515628,10550426,10780072,10793979,11055743,11305559,11376863,11422200,11658146,11839559,12123623,12127581,12183680,12370150,12442583,12849975,13202906,13325183,13395705,13606559,13706640,14062703,14288752,14301986,14377703,14559148,14620416,14653870,14769993,14844180,15005759,15075383,15284063,15419970,15596543,15612328,15833792,16074846,16115903,16447968,16461143,16839983,16977503,17142746,17360258,17492063,17563869,17583325,17584644,17813016,18004823,18195441,18209423,18277559,18503964,19228103,19701023,19827112,20037863,20039643,20629105,20642159,20728648,20934100,21029032,21099990,21310559,21710063,21894746,21909383,22240943,22302249,22305501,22506656,22829992,22981881,23197943,23319729,23395103,23526383,23605466,23657661,24031706,24278759,24702143,24754926,25094786,25120920,25188983,25253759,25310265,25319988,25480223,25674023,25683741,25708353,25730906,26060759,26110532,26125103,26703453,26795648,26997616,27017473,27210146,27277823,27322312,27405263,27596183,27869068,28040543,28135559,28261035,28514903,28596505,28704705,28816552,28924559,28987463,29018903,29085609,29101658,29458223,29470150,29864759,29938586,30145104,30372318,30618352,30737601,31397666,31785023,31789825,31800232,32091863,32183759,32410345,32418621,32428463,33056546,33098759,33341543,33795383,33913242,34157159,34315806,34318465,34445646,34517783,34547783,34625725,35056559,35146103,35322458,35364180,35775261,35800559,35831965,36037583,36392159,36551066,37031788,37171905,37273559,37300760,37721792,38021001,38089703,38147790,38173009,38437559,38495423,38596390,38638408,38668823,38862105,38892414,39359543,39397658,39527848,39650032,39731759,39794209,39960143,40301759,40500503,40690976,40852150,41182158,41212706,41432159,41452912,41534665,41550870,41600968,41614466,41963355,42210604,42239265,42437016,42447097,42494183,42910223,42988393,42998358,43415258,43468209,43966408,43983503,44065559,44256743,44320928,44356204,44468829,44606286,44760912,45055216,45151041,45212428,45368663,45557159,45640108,45697405,45777348,45959759,46032808,46315668,46390658,46634526,46801089,47077463,47147905,47552159,47741643,47762303,48154943,48467759,48552026,48805343,49022580,49244759,49462209,49476268,49567912,49576449,49707503,49841598,49861044,49937903,49956375,50307458,50320463,50345903,50356026,50450248,50456973,50663265,50687118,51407159,51482423,51658321,51786909,51928701,52027633,52051226,52081943,52213192,52231103,52280759,52290752,52355183,52898759,53095463,53286800,53316143,53389559,53680552,53828543,54040816,54133228,54133849,54532870,54624349,54794783,54836886,54931586,54976204,55137700,55153823,55313186,55439759,55763901,55795559,55842863,55957945,56149559,56501759,56577486,56610472,56756529,56782223,56848870,57023258,57131183,57593663,57616703,57731783,57749342,57892559,57938423,57968258,58073032,58235759,58690559,58739841,58827096,59187143,59299463,59321903,59471875,59660186,59947650,60009868,60034586,60067825,60257159,60390621,60427468,60638710,60795918,61025759,61308743,61411990,61611983,61676759,61956623,62094988,62149583,62520601,62703383,62824226,62851559,63020423,63167759,63335663,63419423,63562658,63674545,63686781,63857063,63944160,64043543,64172908,64208759,64298786,64325065,64489288,64721759,65128559,65332161,65431559,65439444,65572343,65632559,65692703,65732759,65969121,66129026,66165240,66171263,66180483,66656908,66860903,66978143,67149534,67344046,67354150,67538977,67752383,67790759,67976008,68207104,68218644,68551559,68846248,69027458,69392159,69426088,69915505,69998303,70034759,70094689,70270943,70487759,70576256,70770705,70810823,71366250,71416813,71533346,71593804,71642159,71868983,71937180,72025223,72081390,72284183,72550449,72766452,72775706,72784465,72821548,72881423,73184759,73286857,73302023,73634903,73694388,73800143,74046503,74095559,74325190,74388383,74435895,74582159,74710703,74862028,75013943,75109103,75414146,75488752,75498952,75658463,75798143,75813623,75897021,76044863,76112258,76124000,76259063,76409454,76456559,76473009,76489228,76732992,76886816,76926598,76936943,77085383,77106253,77174063,77190078,77334070,77394503,77452029,77467583,77598623,77904100,77946753,78002159,78104349,78385343,78516748,78537506,78665423,78707159,78845759,78956063,79256759,79396826,79398288,79459559,79727159,79739546,80017823,80083343,80356343,80472263,80537068,80593826,80638559,80702159,80740223,80790863,80824980,80940268,80969128,80979623,81274658,81449759,81752253,81788783,81932159,82027103,82074383,82203743,82320503,82404808,82499060,82665983,82836023,82970759,83225783,83302559,83357159,83498183,83754604,83871143,83898606,83913143,84086065,84121223,84125512,84131543,84183023,84231433,84305759,84457559,84487703,84736103,84902159,84924846,84936321,85027583,85170623,85330559,85497383,85561559,85639500,85756204,86000433,86141786,86213312,86221597,86324616,86472986,86497668,86502023,86554828,86576183,86698343,86716105,86786783,86818703,86905823,86960759,87023063,87341358,87341759,87393503,87421774,87452159,87539183,87560008,87646343,87855263,88063583,88076759,88120346,88155143,88251503,88333559,88417192,88475423,88607159,88654103,88791863,88875623,88930463,89043023,89065905,89069303,89190228,89316263,89323074,89439503,89485463,89559208,89574983,89605559,89657063,89753306,89780783,89812559,89916023,89919743,89963759,89970983,89974583,90095543,90118559,90128303,90182159,90227759,90257159,90340559,90371903,90379559,90416759,90463559,90553343,90558129,90621983,90626759,90656759,90674543,90692183,90699263,90740759,90746303,90759983,90769559,90773759,90774503,90985288,91049306,91090269,91348800,91717804,91892950,92015258,92441206,92507788,92656346,92705409,92800884,92880141,93123901,93484920,93676089,94407458,94641201,95003632,95197658,95355266,95559265,96071486,96105928,96205780,96989976,97115193,97338705,97354465,97438720,98375005,98477186,98505009,98998872,99469341,99717248,...,4722913366618328823331609824240214610772103970656364233342894683092349744589910940506671567763150435902083730708325806720900337710862245163006795406704491998181431220549832749949466255603477952459686545085718073831109050933410314478809765103880009493560584491366501800560778538806104708239428314804822995251270629794293717502348172382814144742071625231508904120065653468125943836513728110579670876496362556731089907479045333969401979099810969613511468401828093978081057008642511303948745484770993330824395296262947994454994917357325872101114488795474287410385853977078425296418182027111627879264498735156901318239930088833044124621574412485208927627583103409362389692388429922280552584472255451163171280999258548252824468354845460952807571479840242413699924151307699975653631975876303864498648421999144722342449542874642839934304645988299165368124739060130290110115785881653420360547242235177198682894096365010171533255436043617304091156743548068070890509282543140427506828684411165100400112270803193366540341245845223783222566245962998608361254888352206666083645924476145659767293663417151342748346851904585341207926102636285230246568564333346219855216696814056582104824765054455919230320358215333208380825224126526101304673912887091095105199962175584837716481531692137016815514861227091688563371378025485372523495975617847720113429052877537642875304048285647335170327868262564080187048797725330889584999842855643780649767498250292007913019357536559962143334868736631452655863038960880313701833392151424238368761397346986465599449731123942204937934851991830553108772356096203401841551585973384279543216405754491422120581072803542686485940935557413675892011797361333475013762905848838927436343261536691449989442127281317566960139780746085480045960974638234951661564239087740922302138098101435258003736911374752729336818850219391964857716996867680092318690864410247693212143615229196969902846987580198382234140678219385321910607760772660463169507437079238231553018406774008755414826659379576363223711186258793923952102625488648497673527431236534837890040025000016655422193800220023759802030124231736417861011500703556514892749529000800664642622033013741765307081225590776699039842340341014022430973846796057629397703979741054272305055768256218791299575447519705265544485077949889327093573979989451860435249829556738633448668192888341917206292646861836953801668604262097835006780714959189530696750408876570518148859745475242788560669214483647860927749599659288053397694058178438029422588247806869325533307796921430049255572879556636792739350767823013995508903233616193513285449624071039547680146198031578918061069647930266865020645230547554131866065907932276984641080889747985377647043342142850717925133555904811656182336531485545817338984230453659657512138909966950182677155252750754181906642853616607565488116426868268419540241778998863146289785434726690888636050888778886355221695817127567160129288236466214365639600212988632306162742128608753663402357521749250694572823766756748796699659598231307735195402837922560169719289458241}
19057   7395418929347484547199694093511852422543309196347826330185266111742118: {152408,171459,970887,1313139,1732367,2338599,2474810,2531123,2931698,2969772,3021159,3216239,3615890,4086935,4188140,4339068,4529378,4904322,4924367,5025768,5442866,5455583,5653989,6081987,6470540,6927335,7034810,7462504,7494335,7662239,7736663,7764648,7774887,7793690,8312802,8395317,8441772,8735229,8993202,9211004,9352428,9432563,9994425,10017743,10473959,10621559,10660720,11898125,11993310,12502658,12792864,12966866,13144535,13357703,13475090,13660787,13854568,13987523,14158659,14277750,14335802,14391972,14492487,15229600,15235319,15586389,15773442,15825639,16170108,16617362,17133300,17348723,17487219,17512079,17860940,17974946,18137567,18198935,18275520,18400403,18555225,18742874,19493888,19515410,19681223,19693324,19792240,19804359,19976243,20111522,20255066,20559960,21275459,21433128,21452979,21610247,21838722,21930624,21980805,22266270,23129955,23418492,23446192,23622914,23750688,23892167,23903258,23907023,24112269,24260588,24671952,24783890,25214483,25714119,25910810,26040387,26167625,26286290,26376966,26429843,26619119,26719524,26791058,27095426,27652403,27755946,27825203,28133320,28457459,28537490,28791143,29635826,29736332,29740668,30642508,31092972,31172639,31231967,31401150,31543548,31649985,32208839,32638165,32842119,32994047,33006568,33449399,33494560,33747020,33759984,33808607,34152890,34244988,34277804,34586867,34693778,34836335,35408199,35604604,36020690,36047559,36271298,36400847,37132389,37642179,37681380,37979982,38071874,38272940,38470607,38596359,38780812,39165798,39377843,39423314,39750290,40193472,40278707,40432898,40496424,40815219,40833167,40913522,40983468,41803602,42790463,43224828,43371923,43652487,44143967,44205225,44907879,45217656,45558477,45632243,45686543,45754408,45927528,46270802,46289735,46401203,46625950,46970483,47096499,47152240,47285714,47700348,48298010,49409810,49534163,49562540,49584819,49912259,50694668,50813903,50863720,50869863,50923874,51175847,51473709,51492722,51668469,51736754,51816140,51856552,52001210,52763255,52854098,52983687,53046270,54507266,54586307,54826599,54909544,54958010,55401160,55445255,55547682,55951140,56319020,56428127,56515535,56582688,57050135,57221685,57331144,57541010,57894585,57957612,58029143,58323002,58338621,58909799,59096487,59291772,59475048,59479007,59681216,59802959,60201388,60240467,60747827,61036464,61278225,61321559,61754224,61773237,61819059,61845335,61959890,62179368,62326305,62401452,62421699,62754323,62767367,63062810,63315906,63655524,63664322,63787226,63920543,64078754,64139459,64410866,64497537,65122887,65266490,65363440,65949612,66052658,66061583,66101932,66137279,66252239,66455464,66481392,66534306,66608500,66909429,67100690,67141368,67275964,67551020,67582824,67666535,67818642,68460162,68666022,68720255,68922125,69049212,69238268,69473502,69585987,69951789,70700303,70763090,70847987,71230259,72092687,72104207,72591290,72828039,73115848,73533870,73609823,73674674,74214402,74351868,74405363,74762397,74791566,74876567,75012335,75240863,75407123,75436648,75461187,75534039,75534335,75675372,76030677,76216439,76268063,76615007,77365043,77618735,78076839,78319788,78364307,78436128,78902807,79612127,79869599,79930200,80216135,80520828,80522039,80611610,81061224,81199842,81657698,81799305,82139159,82255329,82397379,82464306,82706550,82774994,82969779,83128178,83321135,83756819,83847863,84092687,84866229,84872762,84915708,84970010,85258880,85273305,85534887,85772999,86057810,86071463,86224367,86415122,86624013,86782610,86815154,86952387,87109548,87252592,87812627,87958828,88181459,88220320,88240644,89316674,89490279,89492255,89532712,89595203,89921475,89997683,90014802,90051879,90239927,90535679,90641202,90849458,90958065,90958192,91026383,91026935,91161023,91193877,91835423,92117985,92523047,92913119,93142482,93577535,94236339,94360940,94373690,94643219,94722803,95155000,95214707,95343987,95611535,95756519,95916240,96108520,96259362,96448179,96733932,97021936,97380125,97425503,97633043,98026079,98145935,98159166,98259184,98340962,98388194,99193539,99247860,99547538,99693506,99985362,...,6297217822157771764442146432320286147696138627541818977790526244123132992786547920675562090350867247869444974277767742294533783614482993550675727208939322664241908294066443666599288340804637269946248726780957431774812067911213752638413020138506679324747445988488669067414371385074806277652571086406430660335027506392391623336464229843752192989428833642011872160087537957501258448684970814106227835328483408974786543305393778625869305466414626151348624535770791970774742678190015071931660646361324441099193728350597325939993223143101162801485985060632383213847805302771233728557576036148837172352664980209201757653240118444058832828765883313611903503444137879149852923184573229707403445963007268217561707999011397670432624473127281270410095306453656551599898868410266634204842634501738485998197895998859629789932723832857119912406194651065553824166318746840386813487714508871227147396322980236264910525461820013562044340581391489738788208991397424094520679043390853903342438245881553467200149694404257822053788327793631710963421661283998144481673184469608888111527899301527546356391551222868456997795802539447121610568136848380306995424752444461626473622262418742109473099686739274558973760477620444277841100298835368135072898550516121460140266616234113116955308708922849355754019814969455584751161837367313830031327967490463626817905403836716857167072064380863113560437157683418773582731730300441186113333123807525040866356664333722677217359143382079949524446491648841936874484051947840418269111189535232317825015196462648620799266308165256273250579802655774070811696474794937869122068781297845706057621874339321896160774763738056915314587914076551567856015729815111300018350541131785236581791015382255266652589503041756755946853040994780640061281299517646602215418985450321229736184130801913677338315881833003639115758466959189286476955995823573456424921152546996924282858153638929293203795983440264509645520904292513762547477014363547284226009916105650975404024542365345007219768879172768484298281581678391898602803500651531330231369908315379783853386700000022207229591733626698346402706832308981890481348667604742019856999372001067552856829377351655687076108300787702265386456453788018696574631795728076839196938639654739029740074357674958388399433930026273687392646770599852436124765306652602480580333106075651511264890923851122556275056862482449271735558139016130446675707619945586040929000545168760690865146327300323718080892285978197147903666132879050737863592077571250705896784330409159100711077062561906732340763839408849056985801023764018660678537644821591351047266165428052730240194930708771890748092863907022486694193640730072175821421210576369312854774519663980503529391122857134290566844741206415541576448708647394423118645640604879543349518546622600243569540337001005575875523804822143420650821902491024559386989038665150861719713912968921184848067851705181806962261089503422880172384315288285820852800283984843074883656171478338217869810028999000926097098355675665062266212797641743646927203783896746892959052610988}
19058   7424835260261623395464163432867983999595202202261812747233576971018412: {133357,190510,228612,723406,1294516,1499341,1635118,1750852,1786846,2629741,3118132,3149518,3678046,3712215,3752941,3959696,4028212,4130446,4397547,4454658,5091277,5183806,5235175,5258926,5423835,5785424,5934286,6282210,6508602,6529691,6539096,6701024,6794067,6859597,7079341,7356483,7408417,7430446,7538652,7846177,8088175,8109316,8164299,9328130,9705810,9885118,10017697,10107406,10352864,10366516,10552215,10625518,10663537,11083736,11092657,11193756,11199757,11255696,11413741,11511886,11513755,11627437,11646972,11690535,11733118,11990936,12122747,12160417,12469203,12469904,12616606,12662658,12691597,13325900,13489803,13748557,13816506,13853857,14028642,14064241,15111841,15617806,15632941,15944737,15991080,16345726,16979377,17057152,17217118,17318210,17989965,18006817,18211441,18664318,18753987,18878212,19037000,19189296,19230241,19323316,19450299,19534477,20212635,20241841,20515418,20781852,20823118,21031256,21100852,21416625,21503703,21560144,21587958,21945037,22111486,22326175,22611118,22753726,22844400,23036017,23316292,23430577,23660163,23679118,24247246,24255162,24367360,24616655,24704941,24740300,24885166,24926043,25676941,25699950,26160241,26405812,26650366,26791410,26962419,27121441,27213118,27408397,27413280,28075441,28114311,28125406,28360237,28577504,28603972,28755406,28833457,28880747,29022241,29118296,29240832,29273115,29307740,29492941,29539986,29688360,30011518,30148897,30150766,30167283,30325735,30382599,30428941,30568126,30839940,31079857,31193086,31224656,31667584,32095597,32149692,32231806,32758083,32895936,32922286,33375757,33399405,33679966,33955006,34281517,34285492,34371697,34551841,34720516,34984126,35127738,35166650,35169288,35434371,35626032,35854887,36009646,36071437,36160177,36390882,36418846,36555118,36779341,37007928,37170415,37175835,38303135,38456206,38702317,38866215,39402046,39429435,39565449,39654224,40035107,40075726,40079286,40186587,40643139,41258210,41284318,41457296,41633919,41868200,41941741,42058064,42183775,42199980,42621118,42806235,42847255,43420126,43439917,43789492,43818766,43851937,44016241,44425741,44453739,44481886,44505755,44604498,44611002,45013312,45374483,45401197,45659984,45963762,46395886,46639458,46790206,47052766,47083297,47101725,47210932,47315322,47794477,47841175,48045851,48063412,48187057,48476015,48557518,49044397,49404286,49509852,49739377,50164751,50189572,50241840,50352241,50377966,50504737,50507518,50620530,50639976,50960446,51229335,51348046,51367482,51416706,51461812,51639277,52040667,52121518,52221064,52237741,52250206,52386637,52913179,53126797,53406906,53591296,53932657,53995232,54031035,54034946,54406947,54420292,54440941,54555646,54644624,54657697,54810526,55017517,55192366,55731757,55738136,56015437,56081086,56271118,56522070,56789617,56929441,56969973,57029806,57107811,57138637,57193010,57277741,57409410,57624241,57633104,57849118,57974926,58037806,58148531,58171218,58203316,58748697,58916446,58940300,59134971,59329741,59625435,59729518,59865997,59877172,60290208,60442327,60529837,60649347,60744636,61050743,61236704,61370283,61447117,61475202,61641841,61953175,62705403,62733037,62795332,63050017,63368335,63570046,63579650,63600464,63741037,63976367,64183726,64367518,64770175,64820690,64837242,64856926,65581357,66007067,66113092,66197518,66477217,66683086,66713377,66889741,67006957,67065457,67590766,67826484,68314318,68631612,68636930,68891292,69011617,69035566,69095566,69251450,69406203,69457441,69843757,69938925,70113118,70172077,70292206,70398775,70644916,70728360,70820941,70928571,71550522,71601118,71663930,71879341,72075166,72294637,72447015,72784318,73102132,73312717,73887983,74008237,74063576,74114715,74343810,74547118,74601520,74737777,75215137,75251735,75443584,75484739,75685297,75731917,75824941,76042002,76179406,76295580,76346018,76385811,76513441,76829197,76875118,76990846,77185741,77192780,77239083,77276816,77337646,77493937,77605131,77724210,77784828,78001815,78341123,78719086,78795316,78899341,78981997,79055696,79281147,79300064,79390957,79463518,79569405,79588418,79818791,79832497,79911841,79920286,80226337,80381857,80603518,80612977,80765617,81001006,81142177,81381952,81438241,81511537,81704300,81760899,81909517,82052077,82263757,82364316,82425412,82437015,82438177,82627415,82679341,82864318,82905824,83069330,83101740,83201936,83228932,83250337,83260625,83321523,83926710,84094955,84145441,84207217,84421208,84438775,84478530,84874032,84894194,84988366,85465741,85548577,85820446,85976786,85996716,86136241,86311515,86547835,86713357,86830516,86928817,86936418,87045997,87161377,87484503,87604897,87668941,87932816,87967006,88131118,88235437,88497517,88513486,88641856,88712408,88762657,88937658,88946797,89011597,89090977,89144363,89212572,89214241,89259277,89361841,89521824,89569741,89596237,89661217,89797837,89903137,89936941,89991841,90055091,90096241,90110432,90174577,90302082,90424856,90571441,90609997,90625441,90640237,90658957,90663457,90684877,90692941,90718897,90737326,90738337,90757741,90764977,90784417,90793741,90801517,91114318,91280216,91394810,91554696,91919518,92065616,92631336,92781316,92939835,93269052,93602178,94154926,94295810,94594215,94973859,95104318,95483286,95496483,95524606,95680839,96118131,96309886,96616299,96935518,97104052,97610686,97881707,97899735,98045160,98489518,98924418,98952536,99078987,99135824,99152898,99415006,99546239,99683196,99722088,99801459,99875806,99912750,...,9445826733236657646663219648480429221544207941312728466685789366184699489179821881013343135526300871804167461416651613441800675421724490326013590813408983996362862441099665499898932511206955904919373090171436147662218101866820628957619530207760018987121168982733003601121557077612209416478856629609645990502541259588587435004696344765628289484143250463017808240131306936251887673027456221159341752992725113462179814958090667938803958199621939227022936803656187956162114017285022607897490969541986661648790592525895988909989834714651744202228977590948574820771707954156850592836364054223255758528997470313802636479860177666088249243148824970417855255166206818724779384776859844561105168944510902326342561998517096505648936709690921905615142959680484827399848302615399951307263951752607728997296843998289444684899085749285679868609291976598330736249478120260580220231571763306840721094484470354397365788192730020343066510872087234608182313487096136141781018565086280855013657368822330200800224541606386733080682491690447566445132491925997216722509776704413332167291848952291319534587326834302685496693703809170682415852205272570460493137128666692439710433393628113164209649530108911838460640716430666416761650448253052202609347825774182190210399924351169675432963063384274033631029722454183377126742756050970745046991951235695440226858105755075285750608096571294670340655736525128160374097595450661779169999685711287561299534996500584015826038715073119924286669737473262905311726077921760627403666784302848476737522794693972931198899462247884409875869703983661106217544712192406803683103171946768559086432811508982844241162145607085372971881871114827351784023594722666950027525811697677854872686523073382899978884254562635133920279561492170960091921949276469903323128478175481844604276196202870516007473822749505458673637700438783929715433993735360184637381728820495386424287230458393939805693975160396764468281356438770643821215521545320926339014874158476463106036813548017510829653318759152726447422372517587847904205250977296995347054862473069675780080050000033310844387600440047519604060248463472835722023001407113029785499058001601329285244066027483530614162451181553398079684680682028044861947693592115258795407959482108544610111536512437582599150895039410531088970155899778654187147959978903720870499659113477266897336385776683834412585293723673907603337208524195670013561429918379061393500817753141036297719490950485577121338428967295721855499199318576106795388116356876058845176495613738651066615593842860098511145759113273585478701535646027991017806467232387026570899248142079095360292396063157836122139295860533730041290461095108263732131815864553969282161779495970755294086684285701435850267111809623312364673062971091634677968460907319315024277819933900365354310505501508363813285707233215130976232853736536839080483557997726292579570869453381777272101777557772710443391634255134320258576472932428731279200425977264612325484257217507326804715043498501389145647533513497593399319196462615470390805675845120339438578916482}
19059   7454367757456538626051248018449284639245860306910072882877040395508688: {285765,304816,342918,1085109,1618145,1941774,2188565,2303477,2452677,2626278,2680269,3464734,3558797,3897665,4677198,4724277,4949620,5035265,5062246,5517069,5721709,5863396,5939544,6042318,6195669,6432478,6681987,7231780,7775709,7888389,8173870,8376280,8678136,8901429,9058756,9143329,9373409,9423315,9698269,9762903,9808644,9823517,9848734,10051536,10057877,10136645,10492069,10885732,10911166,11145669,11196301,11307978,12163974,12941080,12958145,13243697,13854670,13992195,14069620,14558715,14827677,14925008,14988670,15161109,15324478,15473326,15529296,15549774,15587380,15938277,15979841,16530709,16625604,16657375,16790634,16883544,17267829,17470458,17599677,17986404,18005377,18402349,18422008,18560861,18704856,18865126,18924909,18993987,19988850,20035486,20724759,20947918,21042963,21050117,21243118,21321440,21996661,23426709,23597765,23796250,23986620,24152629,24154145,24518589,25005316,25478509,25585728,25825677,25933732,25977315,26289070,26376065,26715406,26751149,26950180,27259397,27321574,27709136,27975046,27996477,28317318,28498877,28555500,28671604,28783944,28984974,29145365,30195589,30459200,30470638,30773127,30925375,30975461,31172778,31234677,31235269,31546884,31651278,32340216,32381937,33007265,33167229,33234724,33916677,34130589,34266600,34697446,34974438,35024158,35081077,35518677,35721880,35754965,35949892,36275134,36370869,36382743,36397870,36551040,36634675,36800806,37110450,37153061,37327749,37485748,38549925,38784509,38987776,39030820,39036581,39362446,39386648,39584480,39608718,39952486,39975549,40187115,40223044,40510132,40819677,41119920,42114797,42188109,42550918,42856865,42866256,42905958,43133109,43220494,43400645,43677444,43861248,43961610,44309979,44532540,45017277,45226149,45605429,45637069,45693431,45852189,45861821,46259910,46789629,46836984,46892384,47226869,47245828,47501376,47784334,47806516,47814046,48224538,48347709,48521176,48770869,49343904,49383429,49567780,50428966,50519949,50932509,51428238,51821620,51898517,52080774,52335250,52476189,52572580,52691607,52749975,52753932,52859686,53238238,53439048,53582116,54014469,54190852,54586323,54628269,54736865,54832677,55154717,55304806,55493729,55511892,55650406,56266640,56914918,57074980,57582286,57684309,59013665,59103069,59247269,59271652,59472664,59481336,59550749,60079265,60113589,60118929,61285016,61887315,61926477,61991009,62185944,62345278,62463934,62736965,62802300,63087096,63299970,63927301,63931677,64327265,64417678,64805629,64856101,65130189,65276330,65314997,65684238,65728149,65988094,66013136,66722829,66898798,66906747,66916503,66989120,67494040,67519968,67617214,68025365,68305780,68489976,68555608,68945643,69173734,69387556,69593829,69672670,69959187,70185309,70579149,70816398,70972983,71209208,71381717,71797301,72041380,72095118,72100309,72475829,72542596,72754145,72801694,72836277,73675375,73868557,74106429,74264778,74846465,75284358,75362760,75566949,75761277,75930795,75959964,76143748,76276129,76396589,76440669,76545880,76941214,77022069,77051223,77125059,77192718,77561624,77623357,78182277,78331596,78335297,78375309,78494165,78755686,78846628,78911149,79121749,79500580,79870189,80110359,80386944,80557414,80865796,80992848,81052419,81630438,81666334,81827044,81833469,81966936,82215789,82641365,82788549,82962557,83607204,83765677,84121629,84406677,84783105,85359509,85544709,85580926,85789515,85848929,86114115,86449656,86583469,86743846,86773677,86962389,87056709,87256827,87304974,88263197,88287934,88306145,88374669,88410450,89117509,89231489,89594277,89770517,89815758,90435312,91116954,91170661,91264486,91373086,91377665,91508816,91855056,92212803,92532829,92541604,92579470,92636549,92802406,93251900,93388769,93940966,94192998,94254677,94304480,94571428,94733149,95355069,95360597,95369475,95400696,96208357,96275589,96490975,96551277,96596020,97231035,97255863,97285389,98494145,98819620,99030797,99068326,99092929,99125080,99169638,99296277,99301661,99824518,...,14168740099854986469994829472720643832316311911969092700028684049277049233769732821520014703289451307706251192124977420162701013132586735489020386220113475994544293661649498249848398766810433857379059635257154221493327152800230943436429295311640028480681753474099505401682335616418314124718284944414468985753811889382881152507044517148442434226214875694526712360196960404377831509541184331739012629489087670193269722437136001908205937299432908840534405205484281934243171025927533911846236454312979992473185888788843983364984752071977616303343466386422862231157561931235275889254546081334883637793496205470703954719790266499132373864723237455626782882749310228087169077165289766841657753416766353489513842997775644758473405064536382858422714439520727241099772453923099926960895927628911593495945265997434167027348628623928519802913937964897496104374217180390870330347357644960261081641726705531596048682289095030514599766308130851912273470230644204212671527847629421282520486053233495301200336812409580099621023737535671349667698737888995825083764665056619998250937773428436979301880990251454028245040555713756023623778307908855690739705693000038659565650090442169746314474295163367757690961074645999625142475672379578303914021738661273285315599886526754513149444595076411050446544583681275065690114134076456117570487926853543160340287158632612928625912144856942005510983604787692240561146393175992668754999528566931341949302494750876023739058072609679886430004606209894357967589116882640941105500176454272715106284192040959396798349193371826614813804555975491659326317068288610205524654757920152838629649217263474266361743218410628059457822806672241027676035392084000425041288717546516782309029784610074349968326381843952700880419342238256440137882923914704854984692717263222766906414294304305774011210734124258188010456550658175894573150990603040276956072593230743079636430845687590909708540962740595146702422034658155965731823282317981389508522311237714694659055220322026266244479978138729089671133558776381771856307876465945493020582293709604513670120075000049966266581400660071279406090372695209253583034502110669544678248587002401993927866099041225295921243676772330097119527021023042067292921540388172888193111939223162816915167304768656373898726342559115796633455233849667981280721939968355581305749488670215900346004578665025751618877940585510861405005812786293505020342144877568592090251226629711554446579236425728365682007643450943582783248798977864160193082174535314088267764743420607976599923390764290147766718638669910378218052303469041986526709700848580539856348872213118643040438594094736754183208943790800595061935691642662395598197723796830953923242669243956132941130026428552153775400667714434968547009594456637452016952691360978972536416729900850548031465758252262545719928560849822696464349280604805258620725336996589438869356304180072665908152666336659065665087451382701480387864709398643096918800638965896918488226385826260990207072565247752083718471300270246390098978794693923205586208513767680509157868374723}
19060   7484016876375617084883223376828881988711009336809304991135171357713522: {266714,381020,437851,457224,514377,551899,893611,1121059,1446812,1914859,2141011,2589032,2817739,2912661,2998682,3270236,3501704,3573692,3603979,3939417,4832371,4943611,5197101,5259482,5830939,5941531,6187025,6236264,6299036,6493411,6713659,7015797,7263019,7329245,7356092,7424430,7505882,7593369,7919392,8056424,8247331,8260892,8682931,8795094,8909316,9039725,9063477,9648717,9658819,10182554,10306171,10367612,10470350,10517852,10847670,11058139,11323445,11379331,11570848,11868572,11913211,12126259,12260805,12564420,13017204,13059382,13078192,13187179,13402048,13588134,13607165,13719194,14135851,14158682,14712966,14765059,14773101,14816834,14860892,15077304,15078691,15692354,16119257,16176350,16218632,16328598,16366749,16533739,16843699,16961967,17049979,17564419,17587025,17769691,18245961,18281611,18383779,18656260,19411620,19484225,19770236,19806571,20035394,20214812,20613259,20705728,20733032,20782005,21104430,21251036,21327074,21814651,22167472,22185314,22387512,22399514,22483005,22511392,22708891,22827482,22986717,23023772,23027510,23209989,23254874,23293944,23324661,23381070,23466236,23981872,24245494,24320834,24938406,24939808,25185951,25233212,25259491,25325316,25383194,25550659,26034499,26131051,26205687,26651800,26979606,27475219,27497114,27633012,27666091,27707714,28057284,28128482,28297689,28994131,29652859,29983275,30027691,30053229,30223682,31235612,31256645,31265882,31421877,31864677,31889474,31982160,32160619,32252491,32417165,32619259,32691452,33687725,33958754,34114304,34434236,34463317,34525891,34636420,34705819,35333299,35694375,35839505,35979930,36013634,36046099,36422882,37328636,37507974,37633051,37756424,38074000,38156851,38378592,38460482,38504611,38646632,38900598,39068954,39368971,39433605,39969739,40073109,40140739,40425270,40483682,40566979,40982361,41030836,41543405,41563704,41646236,41834899,41962569,42062512,42201704,42456029,42475977,42504499,42833250,42920659,43007406,43120288,43175916,43252291,43477461,43890074,44158339,44222972,44322139,44652350,44730379,44937365,45222236,45507452,45688800,45705957,46024651,46072034,46104931,46632584,46759167,46857185,46861154,47320326,47358236,47476917,47616571,47695411,47774179,48166939,48494492,48510324,48734720,48788525,49233310,49334419,49409882,49480600,49770332,49852086,49950451,50278805,50637665,51353882,51395059,51399900,51470371,51995539,52038581,52046169,52294051,52320482,52368499,52461657,52536237,52811624,53109019,53300732,53403211,53582820,53624389,53924838,54242882,54351379,54412701,54426236,54596805,54816794,54826560,54856891,55201209,55572931,55665675,55857331,56150882,56228622,56250812,56352259,56563291,56720474,56843659,57155008,57207944,57510812,57539539,57666914,57761494,57953611,58044482,58236592,58365091,58481664,58546230,58615480,58985882,59043669,59057285,59079972,59247739,59376720,59382451,59413077,59449699,59758145,59928729,59986157,60023036,60297794,60301532,60317371,60334566,60651470,60765198,60857882,61136252,61238179,61679880,61959725,62159714,62308057,62386172,62449312,62533757,62592931,62720299,63335168,63352819,63826377,63853651,64191194,64299384,64358937,64411579,64463612,64719019,64777025,64830741,65516166,65690731,65715725,65750851,65791872,65844572,65942415,66702581,66751514,66798810,66879451,66977645,66996739,67230451,67359932,67404979,67553189,67738565,67809691,67866421,67910012,68563034,68570984,68608531,68743394,69103682,69389865,69441032,69968252,70054651,70255476,70327171,70333300,70338576,70381459,70759459,70868742,71252064,71343725,71431841,71610211,71662771,71676501,71709774,71721069,72019292,72142874,72320354,72336807,72339499,72596539,72749899,72781764,72837692,72902611,72953371,73004059,73110236,73356859,73558682,73606699,74015856,74089565,74100979,74340830,74351670,74442691,74636371,75163051,75305179,75643449,75681019,76098331,76606270,76912412,76915459,77142357,77226931,77404634,77622211,77732430,77925619,78121161,78437539,78502875,78731371,78804092,78858870,79062859,79130898,79289529,79308448,79349131,79857357,80070214,80151452,80158572,80186779,80373174,80497531,80955019,81286278,81328339,81585379,81757709,81766819,82017811,82053379,82124299,82516420,82568636,82578259,82914592,82957209,83020051,83252899,83267838,83318779,83475609,83547091,83675971,83708011,83736400,83883482,83898739,83961739,83993131,84116128,84149011,84210859,84367550,84399960,84515779,84813499,85017619,85046491,85067477,85161259,85242236,85359331,85372377,85382225,85526299,85608811,85612470,85636171,85694510,85771891,86373429,86622499,86734445,86840252,86864779,86879834,87006691,87053419,87282739,87438979,87578984,87637532,87703874,87886531,88032482,88108291,88167259,88715669,88721299,88738651,88807339,88841251,88851482,88907478,88963772,88974019,89011510,89208996,89209237,89222004,89472979,89608699,89648011,89762059,89905051,89950411,90005491,90026624,90051725,90079579,90207811,90298171,90340651,90357139,90381331,90506179,90538939,90666451,90678245,90693451,90713971,90717859,90725419,90729091,90746371,90748966,90764731,90772939,90785179,90795619,90802394,90811099,90812251,90817651,90820819,91319968,91927524,92791772,93278916,93391217,93517917,93580412,93695901,94105532,94166594,94203450,94421864,94630644,94949955,95179685,95588954,95682350,96091702,96126824,96374114,96626517,96952030,97115036,97914495,98088794,98526357,98558285,98808572,98982141,99019704,99375725,99478754,...,18891653466473315293326439296960858443088415882625456933371578732369398978359643762026686271052601743608334922833303226883601350843448980652027181626817967992725724882199330999797865022413911809838746180342872295324436203733641257915239060415520037974242337965466007202243114155224418832957713259219291981005082519177174870009392689531256578968286500926035616480262613872503775346054912442318683505985450226924359629916181335877607916399243878454045873607312375912324228034570045215794981939083973323297581185051791977819979669429303488404457955181897149641543415908313701185672728108446511517057994940627605272959720355332176498486297649940835710510332413637449558769553719689122210337889021804652685123997034193011297873419381843811230285919360969654799696605230799902614527903505215457994593687996578889369798171498571359737218583953196661472498956240521160440463143526613681442188968940708794731576385460040686133021744174469216364626974192272283562037130172561710027314737644660401600449083212773466161364983380895132890264983851994433445019553408826664334583697904582639069174653668605370993387407618341364831704410545140920986274257333384879420866787256226328419299060217823676921281432861332833523300896506104405218695651548364380420799848702339350865926126768548067262059444908366754253485512101941490093983902471390880453716211510150571501216193142589340681311473050256320748195190901323558339999371422575122599069993001168031652077430146239848573339474946525810623452155843521254807333568605696953475045589387945862397798924495768819751739407967322212435089424384813607366206343893537118172865623017965688482324291214170745943763742229654703568047189445333900055051623395355709745373046146765799957768509125270267840559122984341920183843898552939806646256956350963689208552392405741032014947645499010917347275400877567859430867987470720369274763457640990772848574460916787879611387950320793528936562712877541287642431043090641852678029748316952926212073627096035021659306637518305452894844745035175695808410501954593990694109724946139351560160100000066621688775200880095039208120496926945671444046002814226059570998116003202658570488132054967061228324902363106796159369361364056089723895387184230517590815918964217089220223073024875165198301790078821062177940311799557308374295919957807441740999318226954533794672771553367668825170587447347815206674417048391340027122859836758122787001635506282072595438981900971154242676857934591443710998398637152213590776232713752117690352991227477302133231187685720197022291518226547170957403071292055982035612934464774053141798496284158190720584792126315672244278591721067460082580922190216527464263631729107938564323558991941510588173368571402871700534223619246624729346125942183269355936921814638630048555639867800730708621011003016727626571414466430261952465707473073678160967115995452585159141738906763554544203555115545420886783268510268640517152945864857462558400851954529224650968514435014653609430086997002778291295067026995186798638392925230940781611351690240678877157832964}
19061   7513783074234999540048532984787799548034500853294507938012842595615333: {400071,476275,571530,609632,685836,1808515,2170218,2265403,2722291,3063991,3236290,3883548,3977479,4087795,4205851,4377130,4467115,4498023,4606954,4905354,5252556,5360538,5456731,6929468,7049371,7117594,7738291,7795330,7873795,7889223,8573059,9195115,9354396,9448554,9899240,10019851,10070530,10124492,10326115,10476163,11034138,11136645,11258823,11443418,11609611,11726792,11879088,12084636,12391338,12679003,12864956,12959515,13147315,13192641,13363974,13889731,14191303,14463560,14801779,14822599,14835715,15273831,15551418,15705525,15776778,16169851,16271505,16347740,16752560,17081899,17356272,17802858,18117512,18141403,18286658,18576115,18746818,18846630,19396538,19525806,19589073,19617288,19647034,19697468,20103072,20115754,20273290,20382201,20578791,20984138,21238023,21466951,21771464,21822332,21935563,22069449,22225251,22291338,22392602,22615956,22900411,23320325,23538531,24264525,24327948,24492897,24712795,24877411,25268515,25754503,25882160,25916290,26487394,26563795,27262279,27709340,27984390,28139240,28501891,28779715,28914919,29117430,29170723,29332795,29655354,29850016,29898343,29977340,30053091,30322218,30648956,30946652,31058592,31099548,31174760,31243603,31391239,31541515,31656645,31876554,31903699,31959682,31990611,32215651,32462803,33036871,33061418,33251208,33277971,33314750,33581268,33599271,33680491,33767088,33815803,34241223,34448503,34535658,34541265,34882311,34940916,35071605,35199354,35972808,36010754,36368241,36481251,36560971,36607363,36804698,36844016,36926491,37121722,37407609,37409712,37568179,37730252,37849818,37987974,38074791,39044515,39622759,39977700,40070972,40136203,40469409,40803511,40841803,40864315,41245671,41449518,41561571,41728759,41895836,42085926,42100234,42119251,42192723,42486236,42642880,43042795,43295525,43725319,43908163,43993322,45335523,46210171,46660795,46853418,46898823,47069479,47195530,47416459,47592500,47834211,47973240,48098983,48305258,48308290,48750631,49037178,50010632,50056951,50938131,50957018,51171456,51288545,51651354,51867464,51954630,52057795,52578140,52752130,53127811,53430812,53502298,53900360,53969895,54020451,54350791,54518794,54634323,54643148,55239031,55278715,55418272,55950092,55992954,56261961,56527795,56634636,56708371,56884315,56997754,57111000,57201331,57343208,57567888,57690723,57845191,57969948,58290730,58350897,58603431,59197795,59664103,59999611,60391178,60420103,60453811,60618115,60637905,60725523,60760903,60918400,60941276,61255651,61334611,61546254,61850750,61950922,61997563,62022403,62212915,62345556,62469354,62470538,63093768,63295111,63302556,64249875,64511109,64680432,64763874,65835111,66014530,66266251,66334458,66469448,66625915,66978525,67833354,68032795,68155879,68261178,68533200,69108051,69369091,69394892,69948876,70048316,70162154,70291731,70313515,70980489,71037354,71443760,71509930,71793139,71888515,71899784,72550268,72741738,72765486,72795740,73102080,73269350,73601612,73810759,73849965,74114823,74220900,74306122,74655498,74778129,74892403,74971496,75028795,75376915,76420315,76631611,76748839,77030823,77035891,77099850,77190451,77569018,77642503,77839399,77975552,77982715,78061640,78073162,78343579,78480723,78724892,78773296,79066891,79168960,79217436,79850419,79886491,79904972,79951098,80189731,80374230,80446088,80579515,80887257,81020264,81364323,81639354,82080403,82156531,82225191,82239840,82305715,82619131,82971331,84110971,84199915,84226323,84229594,84342933,84360211,84376218,84513259,84887515,85080711,85101836,85384423,85713730,85732512,85811916,86226103,86242603,86266218,86440988,86487211,86500371,86642241,86801290,87009511,87066723,87354888,87460315,87722496,87819345,87831751,87916625,87923220,88478823,88619958,88672771,89065080,89193763,89240923,89780011,90024115,90034554,90058171,90446691,90452298,90501849,90977205,91047115,91147797,91210858,91274138,91286823,91386862,91387795,91548151,91704378,91723642,92519820,92646343,93239571,93467011,93579258,93673968,93784768,94453738,94491656,94615603,94663591,95002752,95235511,95370679,95460871,95568668,95613032,95628092,95776771,95948803,96140515,96286791,96449076,96695418,97042352,97221451,97541738,98046811,98274249,98505115,98687808,98766858,99135560,99312163,99667651,...,28337480199709972939989658945441287664632623823938185400057368098554098467539465643040029406578902615412502384249954840325402026265173470978040772440226951989088587323298996499696797533620867714758119270514308442986654305600461886872858590623280056961363506948199010803364671232836628249436569888828937971507623778765762305014089034296884868452429751389053424720393920808755663019082368663478025258978175340386539444874272003816411874598865817681068810410968563868486342051855067823692472908625959984946371777577687966729969504143955232606686932772845724462315123862470551778509092162669767275586992410941407909439580532998264747729446474911253565765498620456174338154330579533683315506833532706979027685995551289516946810129072765716845428879041454482199544907846199853921791855257823186991890531994868334054697257247857039605827875929794992208748434360781740660694715289920522163283453411063192097364578190061029199532616261703824546940461288408425343055695258842565040972106466990602400673624819160199242047475071342699335397475777991650167529330113239996501875546856873958603761980502908056490081111427512047247556615817711381479411386000077319131300180884339492628948590326735515381922149291999250284951344759156607828043477322546570631199773053509026298889190152822100893089167362550131380228268152912235140975853707086320680574317265225857251824289713884011021967209575384481122292786351985337509999057133862683898604989501752047478116145219359772860009212419788715935178233765281882211000352908545430212568384081918793596698386743653229627609111950983318652634136577220411049309515840305677259298434526948532723486436821256118915645613344482055352070784168000850082577435093033564618059569220148699936652763687905401760838684476512880275765847829409709969385434526445533812828588608611548022421468248516376020913101316351789146301981206080553912145186461486159272861691375181819417081925481190293404844069316311931463646564635962779017044622475429389318110440644052532488959956277458179342267117552763543712615752931890986041164587419209027340240150000099932533162801320142558812180745390418507166069004221339089356497174004803987855732198082450591842487353544660194239054042046084134585843080776345776386223878446325633830334609537312747797452685118231593266910467699335962561443879936711162611498977340431800692009157330051503237755881171021722810011625572587010040684289755137184180502453259423108893158472851456731364015286901887165566497597955728320386164349070628176535529486841215953199846781528580295533437277339820756436104606938083973053419401697161079712697744426237286080877188189473508366417887581601190123871383285324791196395447593661907846485338487912265882260052857104307550801335428869937094019188913274904033905382721957945072833459801701096062931516504525091439857121699645392928698561209610517241450673993178877738712608360145331816305332673318131330174902765402960775729418797286193837601277931793836976452771652521980414145130495504167436942600540492780197957589387846411172417027535361018315736749446}
19062   7543666810030431136373644420296072250056715463338941322772873395815172: {209561,533428,589961,762040,857295,875702,914448,1007477,1028754,1103798,1159061,1575257,1688597,1787222,1952777,2242118,2818037,2855561,2893624,3080537,3255327,3641717,3829718,4201097,4282022,4854435,5055317,5178064,5635478,5825322,5868437,5997364,6199961,6530837,6540472,6565695,6910431,7003408,7147384,7154057,7207958,7358031,7483061,7878834,8040807,8661835,8901257,9443477,9659861,9664742,9695897,9887222,10019861,10260943,10394202,10518964,10522517,10676391,11095061,11416217,11661878,11692995,11883062,12163061,12374050,12472528,12552857,12598072,12655615,12694361,12986822,13012277,13427318,13435157,13751561,13927061,14031594,14137397,14172831,14526038,14658490,14712184,14766677,14801561,14848860,15011764,15105795,15115157,15186738,15289097,15705737,15838784,15852823,16017461,16081195,16112848,16494662,16521784,16551207,16673417,16845557,17051861,17165127,17365862,17590188,17818632,18079450,18126954,18283637,18385817,18419861,18587007,18895637,19050031,19297434,19317638,19606361,19808777,20045961,20145497,20365108,20434675,20612342,20615561,20649077,20735224,20940700,20950361,21035704,21117461,21695340,21817097,22116278,22646890,22744457,22758662,23107061,23141696,23327127,23665167,23737144,23826422,24252518,24417461,24521610,24621835,25128840,25359497,25585877,26034408,26037461,26069657,26118764,26156384,26166197,26230517,26374358,26519561,26704287,26711897,26804096,27031817,27176268,27191477,27214330,27277915,27429987,27438388,27478361,27605657,28120227,28145237,28240217,28269945,28271702,28317364,29028917,29094807,29288709,29425932,29470551,29530118,29546202,29633668,29721784,29843861,30154608,30155861,30157382,30173631,30409935,31384708,31426697,31476207,31549961,32164361,32194997,32238514,32286857,32352700,32437264,32657196,32733498,33067478,33437007,33588903,33687398,33923934,34099958,34559957,34636675,35128838,35158517,35174050,35337461,35367257,35539382,35605337,36079961,36227861,36491922,36523061,36563222,36767558,36788057,37312520,37471675,37666697,37841561,38311195,38683315,38823240,38874435,38968450,39028757,39540472,39574361,39613142,39731091,39831797,40070788,40145561,40429624,40826777,41226518,41411456,41466064,41564010,41976585,42007817,42208860,42502072,42654148,42925877,43629302,43676145,43759303,44081717,44163737,44334944,44354837,44370628,44483031,44572757,44775024,44799028,44966010,45022784,45384031,45385397,45417782,45483327,45654964,45973434,45976757,46047544,46055020,46419978,46509748,46587888,46590857,46649322,46762140,46932472,47162815,47806361,47814831,47939523,47963744,48172937,48199061,48490988,48641668,48979061,49340597,49592127,49876812,49879616,49972125,50088715,50175307,50371902,50466424,50517461,50518982,50650632,50766388,50796377,51101318,51426677,51501977,51652361,51803487,52027061,52068998,52176437,52262102,52300697,52369795,52375157,52399961,52411374,52799031,53107795,53140361,53303600,53410037,53654357,53959212,53995061,54016131,54599561,54950438,54994228,55207047,55266024,55332182,55415428,55682583,55935497,56114568,56256964,56500361,56595378,56774727,56851061,56981961,57223157,57915317,57988262,58029977,58160767,58235861,58713737,59007797,59305718,59390297,59479961,59490625,59966550,60055382,60106458,60126197,60259061,60447364,60787637,61115657,61268117,61463561,61701557,61766297,62174277,62471224,62513290,62531764,62537561,62622617,62749961,62843754,62855861,62912311,63128889,63150351,63298457,63729354,63778948,63883097,63964320,63986837,64131737,64321238,64504982,64605077,64748297,64834330,64931861,65238518,65382904,65600059,65659637,65719817,65722675,65989983,66357257,66788515,66908297,66947417,67025561,67239797,67375450,67703861,67917508,68067977,68228608,68303935,68580437,68868472,68926634,69051782,69272840,69291797,69411638,69421577,69477077,69569417,69937615,70280127,70390327,70409561,70666598,70769561,70793295,70892731,71197337,71302759,71388750,71679010,71900057,71959860,71986997,72027268,72092198,72349961,72367157,72457887,72462435,72709397,72777461,72845764,72963977,73216757,73367561,73555767,73617461,73716917,73882037,73903531,74128217,74177237,74356361,74657272,75015948,75094937,75266102,75500623,75512848,75707861,75785561,76148000,76176595,76313702,76435527,76536437,76757184,76920964,77009222,77016437,77075861,77238617,77293264,77477031,77502857,77677577,77801196,77931945,78037877,78137908,78575957,78737942,78743477,78830323,78867210,78923657,78992597,79128195,79211861,79361417,79415561,79496537,79563797,79835587,79883861,79939478,80146218,80160137,80212361,80253447,80281478,80394137,80548697,80778377,80850540,80866997,80967364,81133958,81167861,81341237,81353561,81488597,81778191,81779861,81959561,81964722,82061672,82078361,82557077,82603061,82680199,82762997,82932617,83011157,83086810,83127408,83167061,83277461,83292472,83343317,83506697,83661403,83669798,83912537,83925138,83989431,84125024,84173237,84235061,84388361,84403408,84499637,84529817,84912058,84944777,84951954,84973877,85008998,85031861,85070357,85213577,85496631,85540757,85666500,85786457,85841318,85999961,86014812,86240576,86351832,86504582,86743615,86951177,86954922,87006197,87076361,87260297,87372917,87436095,87560395,87635861,87780148,87805397,87922697,88183061,88316678,88337237,88445944,88474517,88644278,88673177,88702517,88760597,88857497,88990361,89012057,89092277,89149961,89232137,89257397,89302361,89304700,89395157,89452277,89460758,89612297,89629961,89695061,89874730,89902937,89971337,89989877,90026357,90086537,90137717,90180617,90199961,90215861,90247061,90309977,90333017,90361097,90432917,90444472,90470297,90477557,90503561,90517337,90524117,90526361,90559061,90586767,90681557,90687835,90703061,90732377,90777461,90783317,90795017,90796697,90803861,90804617,90826037,90827417,90829961,90830357,90831497,90835061,90839561,90994675,91014904,91376263,91377600,91411914,92002015,92049302,92144068,92209862,92319381,92776125,92926383,93265168,93518334,93704031,93705807,93714370,93722308,93768703,94640652,94716472,94833991,94953834,95233142,95390822,95548358,96333878,96622747,96988984,97020648,97145811,97469440,97577050,98406115,98466620,98668838,98819764,98961200,99021795,99501687,99540664,99704172,99881215,99900902,...,42506220299564959409984488418161931496948935735907278100086052147831147701309198464560044109868353923118753576374932260488103039397760206467061158660340427983632880984948494749545196300431301572137178905771462664479981458400692830309287885934920085442045260422298516205047006849254942374154854833243406957261435668148643457521133551445327302678644627083580137080590881213133494528623552995217037888467263010579809167311408005724617811898298726521603215616452845802729513077782601735538709362938939977419557666366531950094954256215932848910030399159268586693472685793705827667763638244004650913380488616412111864159370799497397121594169712366880348648247930684261507231495869300524973260250299060468541528993326934275420215193609148575268143318562181723299317361769299780882687782886734780487835797992302501082045885871785559408741813894692488313122651541172610991042072934880783244925180116594788146046867285091543799298924392555736820410691932612638014583542888263847561458159700485903601010437228740298863071212607014049003096213666987475251293995169859994752813320285310937905642970754362084735121667141268070871334923726567072219117079000115978696950271326509238943422885490103273072883223937998875427427017138734911742065215983819855946799659580263539448333785229233151339633751043825197070342402229368352711463780560629481020861475897838785877736434570826016532950814363076721683439179527978006264998585700794025847907484252628071217174217829039659290013818629683073902767350647922823316500529362818145318852576122878190395047580115479844441413667926474977978951204865830616573964273760458515888947651790422799085229655231884178373468420016723083028106176252001275123866152639550346927089353830223049904979145531858102641258026714769320413648771744114564954078151789668300719242882912917322033632202372774564031369651974527683719452971809120830868217779692229238909292537062772729125622888221785440107266103974467897195469846953944168525566933713144083977165660966078798733439934416187269013400676329145315568923629397836479061746881128813541010360225000149898799744201980213838218271118085627760749103506332008634034745761007205981783598297123675887763731030316990291358581063069126201878764621164518664579335817669488450745501914305969121696179027677347389900365701549003943842165819905066743917248466010647701038013735995077254856633821756532584215017438358880515061026434632705776270753679889134663339737709277185097046022930352830748349746396933592480579246523605942264803294230261823929799770172292870443300155916009731134654156910407125959580129102545741619569046616639355929121315782284210262549626831372401785185807074927987186794593171390492861769728007731868398823390079285656461326202003143304905641028783369912356050858074082936917609250189702551644094397274756787637159785682549468089393047841814415775862176010989768316608068912540217997724457999009977196995262354148104441163594128195929290756401916897690755464679157478782970621217695743256251155413900810739170296936384081769616758625541303041527473605124169}
19063   7573668544544138131152257231005269296789949973037962711802358123697055: {666785,800142,952550,1143060,1219264,1313553,1371672,1543131,1655697,2531921,2680833,3217253,3363177,3617030,4340436,4530806,4700657,5444582,5722913,5744577,6127982,6253961,6423033,6472580,7496705,7767096,7954958,8175590,8411702,8453217,8737983,8754260,8934230,8991257,8996046,9145253,9213908,9810708,10131797,10505112,10721076,10811937,10913462,11023313,11198657,11818251,11956661,12873161,13148705,13553417,13858936,14098742,14235188,14456561,14497113,14830833,15240137,15476582,15523817,15590660,15591303,15747590,15778446,16487537,17146118,17492817,17517617,17824593,18143321,18259961,18390230,18406241,18561075,18708792,18764705,18897108,19480233,19798480,20039702,20140977,20141060,20248984,20652230,20770001,20952326,21047391,21617081,21789057,21987735,22068276,22273290,22517646,22780107,22886836,23219222,23453584,23545493,23758176,24169272,24741993,24782676,25358006,25370033,25456385,25594577,25729912,25919030,26006561,26048793,26175875,26294630,26385282,26627537,26727948,27119175,27190431,27779462,28382606,28917977,28927120,28946151,28976457,29237393,29603558,29645198,29671430,30547662,30918513,31102836,31182497,31411050,31553556,32219057,32339702,32543010,32648455,32695480,33004481,33174417,33459977,33505120,33563237,33684053,33970335,34137993,34163798,34172177,34297985,34597913,34701617,34712544,34919321,35375921,35396705,35605716,35739633,36235024,36282806,36378777,36573316,36782415,37042085,37098737,37152230,37189313,37206053,37493636,37693260,38344433,38793076,39051612,39178146,39230885,39234576,39294068,39394936,39561537,40037657,40206144,40231508,40291601,40440875,40546580,40764402,40821495,40846121,41065913,41157582,41968276,42407553,42476046,42904217,42933902,43542928,43644664,43871126,44138898,44158121,44295177,44319303,44398757,44450502,44582676,44785204,45231912,45236073,45646721,45800822,46640650,46826897,46999361,47074457,47077062,48357771,48529050,48655896,48985794,49100247,49425590,49601217,49729457,49754822,50088485,50531097,50537030,50885901,51149937,51509006,51675377,51764320,51832580,52693257,52761075,52974788,53127590,53309073,53317685,54524558,54662321,54737883,54844833,55151337,55244873,55382081,55418680,55463285,55968780,55998785,56278480,57003782,57068705,57210041,57559430,57568775,57829838,58137185,58234860,58341446,58452675,58665590,59310708,59419713,59474633,59700032,59796686,59954680,60106182,60259913,60613735,60644436,60802085,61297912,61839777,61893304,62117184,62199096,62346015,62349520,62487206,62782478,62787413,63083030,63313290,63457985,63753108,63807398,63919364,63981222,64232753,64431302,64925606,65325113,65443953,66073742,66122836,66273257,66502416,66555942,66629500,67162536,67198542,67360982,67449015,67534176,67601573,67631606,68126673,68482446,68742785,68897006,68960151,69071316,69082530,69269285,69629967,69764622,69881832,69973983,70143210,70321205,70398708,71445413,71803963,71945616,72021508,72736482,72880913,72962502,73121942,73214726,73609396,73688032,73852982,74243444,74803313,74815218,74819424,74900321,75136358,75460504,75557853,75559205,75699636,75778473,75975948,76149582,76292261,76639937,76651977,77390201,78089030,78103497,78164705,78393153,78510017,78617061,79075253,79138913,79245518,79638041,79723685,79894937,79955400,80141944,80272406,80547857,80938818,81607022,81683606,81728630,81981653,82165217,82425657,82491342,82876913,82899036,82998273,83123142,83457518,83783393,83791672,84171852,84200468,84238502,84385446,84522197,84846437,84865361,84893067,84896885,84972472,85285760,86085590,86098937,86251721,86591050,86982393,87018713,87098081,87230897,87450638,87816326,87986644,88635857,88806401,88958577,89623817,89949825,90034085,90083073,90159687,90671046,91057205,91557833,91736921,91992017,92420342,93276281,93321590,93706836,93769935,93797646,94138958,94265631,94368677,94391060,94832918,95185000,95245913,95345057,95594031,95668422,95786897,95946480,96151205,96197966,96481857,96610516,96616580,96662177,96757473,97231733,97251495,97501262,97672385,97857777,98057177,98074356,98438921,...,56674960399419945879979317890882575329265247647876370800114736197108196935078931286080058813157805230825004768499909680650804052530346941956081544880453903978177174646597992999393595067241735429516238541028616885973308611200923773745717181246560113922727013896398021606729342465673256498873139777657875943015247557531524610028178068593769736904859502778106849440787841617511326038164737326956050517956350680773078889748544007632823749197731635362137620821937127736972684103710135647384945817251919969892743555155375933459939008287910465213373865545691448924630247724941103557018184325339534551173984821882815818879161065996529495458892949822507131530997240912348676308661159067366631013667065413958055371991102579033893620258145531433690857758082908964399089815692399707843583710515646373983781063989736668109394514495714079211655751859589984417496868721563481321389430579841044326566906822126384194729156380122058399065232523407649093880922576816850686111390517685130081944212933981204801347249638320398484094950142685398670794951555983300335058660226479993003751093713747917207523961005816112980162222855024094495113231635422762958822772000154638262600361768678985257897180653471030763844298583998500569902689518313215656086954645093141262399546107018052597778380305644201786178334725100262760456536305824470281951707414172641361148634530451714503648579427768022043934419150768962244585572703970675019998114267725367797209979003504094956232290438719545720018424839577431870356467530563764422000705817090860425136768163837587193396773487306459255218223901966637305268273154440822098619031680611354518596869053897065446972873642512237831291226688964110704141568336001700165154870186067129236119138440297399873305527375810803521677368953025760551531695658819419938770869052891067625657177217223096044842936497032752041826202632703578292603962412161107824290372922972318545723382750363638834163850962380586809688138632623862927293129271925558034089244950858778636220881288105064977919912554916358684534235105527087425231505863781972082329174838418054680480300000199865066325602640285117624361490780837014332138008442678178712994348009607975711464396164901183684974707089320388478108084092168269171686161552691552772447756892651267660669219074625495594905370236463186533820935398671925122887759873422325222997954680863601384018314660103006475511762342043445620023251145174020081368579510274368361004906518846217786316945702913462728030573803774331132995195911456640772328698141256353071058973682431906399693563057160591066874554679641512872209213876167946106838803394322159425395488852474572161754376378947016732835775163202380247742766570649582392790895187323815692970676975824531764520105714208615101602670857739874188038377826549808067810765443915890145666919603402192125863033009050182879714243399290785857397122419221034482901347986357755477425216720290663632610665346636262660349805530805921551458837594572387675202555863587673952905543305043960828290260991008334873885201080985560395915178775692822344834055070722036631473498892}
19064   7603788740351731011128884924759111033532265891320193865787873856208967: {247663,419122,1066856,1179922,1200213,1428825,1524080,1714590,1751404,1828896,2014954,2057508,2207596,2318122,2855863,3150514,3377194,3574444,3905554,4484236,5092903,5203999,5425545,5636074,5711122,5758399,5787248,6161074,6510654,6796209,6971743,7283434,7659436,8090725,8166873,8402194,8564044,9191973,9696943,9708870,10020943,10110634,10128799,10356128,10559503,10942825,11203399,11270956,11310463,11517385,11631223,11650644,11736874,11932437,11994728,12126569,12263385,12399922,12617553,13061674,13080944,13131390,13401345,13494069,13753063,13820862,13858399,14006816,14294768,14308114,14415916,14716062,14803183,14966122,15533983,15757668,16053823,16081614,16370193,16984999,17323670,17499799,17717861,17793985,17802514,18421903,18886954,18931663,19319722,19329484,19391794,19488325,19540999,19642303,19774444,20039722,20521886,20651383,20788404,21037928,21045034,21148113,21352782,21453463,21653263,22051999,22190122,22513673,22832434,23142583,23214873,23323756,23385990,23536999,23621385,23667669,23766124,24326122,24420223,24748100,24945056,25105714,25176325,25196144,25311230,25330261,25388722,25719177,25973644,26024554,26072623,26854636,26870314,27417799,27503122,27585345,27854122,27894799,28063188,28274794,28275103,28345662,28608545,28937863,29052076,29316980,29424368,29533354,29603122,29697720,29878543,30023528,30059553,30211590,30230314,30252799,30373476,30578194,30978345,31411474,31428489,31677568,31705646,32014783,32034922,32162390,32198743,32225696,32989324,33043568,33102414,33346834,33409935,33691114,33776469,33931999,34103722,34293583,34330254,34383799,34470569,34731724,34828833,34923583,35180376,35371423,35637264,36158900,36172999,36253908,36261703,36527383,36567274,36771634,36839722,37174014,37408303,37791274,38037009,38100062,38189081,38594868,38635276,38878545,39212722,39441945,39577923,39579103,39617554,40091922,40290994,40730216,40869350,41224684,41231122,41298154,41452183,41470448,41669193,41881400,41900722,42071408,42234922,42573909,43041799,43390680,43455799,43634194,43950223,44232556,44405337,44467797,44507145,44605423,45293780,45417943,45488914,45498799,45517324,45716645,45821493,45982423,46214122,46283392,46654254,46867045,47116575,47330334,47474288,47575783,47652844,48205063,48491345,48505036,48509553,48814515,48834922,49043220,49117585,49243670,50257680,50289385,50294863,50599999,50683225,50718994,51171754,51245697,52068816,52074922,52139314,52237528,52312768,52332394,52406623,52460345,52461034,52748716,53039122,53408574,53423794,53608192,53635673,53953399,54026263,54063634,54156641,54352536,54382954,54424209,54428660,54555830,54859974,54876776,54956722,55211314,55325503,55728345,55824463,55981505,56107999,56240454,56290474,56480434,56531143,56539890,56543404,56634728,56741743,57230623,57922903,58057834,58189614,58266343,58539799,58577418,58767219,58851864,58879999,58941102,59060236,59092404,59267336,59443568,59622103,59687722,60289183,60309216,60311722,60314764,60347262,60817663,60819870,61146603,61736373,62182999,62769416,62853394,62885503,62952414,63099922,63453799,63714069,63766999,64328722,64389994,64400853,64477028,64573714,64705400,64790725,64874528,65314392,65466996,65608399,65668663,65806689,66027941,66134956,66148183,66208347,66218485,66563983,66675753,66716617,66874014,67093399,67151863,67177806,67374796,67732543,67847868,68199916,68306023,68590063,68701233,69119914,69273350,69928399,69960975,70124201,70256503,70257676,70317034,70348100,70615593,70674922,70734514,71078764,71210674,71225263,72159922,72377623,72455722,72793575,72983844,73046122,73126444,73317713,73478691,73535116,73576114,74040823,74089999,74138385,74350913,74625040,74632233,74818999,74943350,75333394,75578743,75683122,75765799,75805545,75812383,76044223,76456999,76622390,77263509,77366630,77529223,77646480,77748870,77936900,78057514,79018543,79080944,79148722,79226284,79462182,79663594,79691385,79829983,79899205,80141576,80291122,80419663,80689303,80803783,80841799,80859248,81217999,81366463,81550423,81653554,81774913,81786837,81948799,81984583,82126999,82303399,82453036,82653545,82685143,82787743,82822912,82932128,83128020,83191663,83286875,83520343,83953170,83968399,84015634,84266897,84279799,84402343,84417720,84583999,84733399,85004144,85308296,85312999,85505673,85591999,85619503,85851754,85970503,86023423,86339145,86635999,86744757,86878999,86974183,87021343,87207103,87258604,87352290,87432823,87512169,87518606,87694183,87998385,88086799,88163434,88302223,88327474,88359463,88490503,88563799,88669888,88709674,88741256,88966062,88979383,89145514,89171623,89228009,89323903,89368183,89468983,89524999,89550048,89598056,89695029,89724799,89920063,89932020,90026885,90045568,90159273,90178399,90217423,90264583,90353503,90442999,90488143,90544303,90664543,90699823,90718399,90735823,90768062,90770794,90793999,90797023,90823303,90835564,90842383,90846703,90849223,90854263,90966654,91309928,91946868,91953514,92011745,92095088,92110040,92804305,92839956,93019496,93163109,93175776,93181714,93298644,93410869,93503921,93524280,93730809,93864944,94173717,94263961,94325630,94624545,94969935,95612722,95625509,95629662,95711097,95879046,95927488,95971833,96345874,96398122,96646953,96981976,97283336,97388409,97912661,97958122,98681194,99110613,99184254,99753624,99759232,99833913,99944250,...,85012440599129918819968976836323862993897871471814556200172104295662295402618396929120088219736707846237507152749864520976206078795520412934122317320680855967265761969896989499090392600862603144274357811542925328959962916801385660618575771869840170884090520844597032410094013698509884748309709666486813914522871336297286915042267102890654605357289254167160274161181762426266989057247105990434075776934526021159618334622816011449235623796597453043206431232905691605459026155565203471077418725877879954839115332733063900189908512431865697820060798318537173386945371587411655335527276488009301826760977232824223728318741598994794243188339424733760697296495861368523014462991738601049946520500598120937083057986653868550840430387218297150536286637124363446598634723538599561765375565773469560975671595984605002164091771743571118817483627789384976626245303082345221982084145869761566489850360233189576292093734570183087598597848785111473640821383865225276029167085776527695122916319400971807202020874457480597726142425214028098006192427333974950502587990339719989505626640570621875811285941508724169470243334282536141742669847453134144438234158000231957393900542653018477886845770980206546145766447875997750854854034277469823484130431967639711893599319160527078896667570458466302679267502087650394140684804458736705422927561121258962041722951795677571755472869141652033065901628726153443366878359055956012529997171401588051695814968505256142434348435658079318580027637259366147805534701295845646633001058725636290637705152245756380790095160230959688882827335852949955957902409731661233147928547520917031777895303580845598170459310463768356746936840033446166056212352504002550247732305279100693854178707660446099809958291063716205282516053429538640827297543488229129908156303579336601438485765825834644067264404745549128062739303949055367438905943618241661736435559384458477818585074125545458251245776443570880214532207948935794390939693907888337051133867426288167954331321932157597466879868832374538026801352658290631137847258795672958123493762257627082020720450000299797599488403960427676436542236171255521498207012664017268069491522014411963567196594247351775527462060633980582717162126138252403757529242329037329158671635338976901491003828611938243392358055354694779800731403098007887684331639810133487834496932021295402076027471990154509713267643513065168430034876717761030122052869265411552541507359778269326679475418554370194092045860705661496699492793867184961158493047211884529606588460523647859599540344585740886600311832019462269308313820814251919160258205091483239138093233278711858242631564568420525099253662744803570371614149855974373589186342780985723539456015463736797646780158571312922652404006286609811282057566739824712101716148165873835218500379405103288188794549513575274319571365098936178786095683628831551724352021979536633216137825080435995448915998019954393990524708296208882327188256391858581512803833795381510929358314957565941242435391486512502310827801621478340593872768163539233517251082606083054947210248338}
19065   7634027861829134091212316996325262125121119102399491650004570607838939: {628683,933499,1333570,1600284,1769883,1905100,2189255,2286120,2438528,2571885,2627106,2743344,2759495,3022431,3086262,3311394,3477183,3559919,4468055,4725771,4814843,5063842,5065791,5361666,5499959,5605295,5858331,6434506,6726354,7234060,8454111,8566683,8574863,8680872,9061612,9241611,9401314,9574295,9765981,10495387,10626031,10705055,10889164,10925151,11077583,11445826,11489154,12255964,12507922,12603291,12681671,12846066,12945160,13363327,14088695,14563305,14993410,15165951,15181799,15534192,15909916,16351180,16823404,16906434,17475966,17508520,17605311,17868460,17917943,17982514,17992092,18011071,18019895,18290506,18408187,18427816,18599883,19485271,19592511,19621416,19697085,20263594,20731293,21010224,21442152,21462171,21623874,21826924,22046626,22074093,22300619,22397314,22449183,23636502,23913322,24122421,24160267,24161855,24718055,25746322,25985505,26270587,26297410,26315551,26703771,27106834,27717872,28197484,28330431,28470376,28507919,28684967,28913122,28979583,28994226,29087691,29154695,29661666,29707655,30059583,30480274,30782829,30935125,30953164,31047634,31181320,31182606,31495180,31556892,31567551,32029173,32467055,32531999,32975074,33285183,33568295,34175791,34248651,34292236,34985634,35035234,35078985,35092171,35638939,35649186,35877943,36192731,36286642,36315095,36489183,36519922,36646225,36780460,36812482,37122150,37417584,37529410,37658571,37794216,37966845,38083083,38960466,39036831,39596960,40079404,40281954,40282120,40305471,40497968,41236655,41254683,41304460,41540002,41781183,41904652,42094782,42128159,42412191,42518493,43234162,43414655,43578114,43975470,44043719,44136552,44300031,44404683,44546580,45035292,45198625,45317385,45345471,45560214,45651547,45707837,45773672,45867291,46438444,46907168,47090986,47117211,47317231,47516352,47558469,47871167,48017179,48052383,48243585,48294095,48338544,48902207,49483986,49555387,49565352,49653621,50020251,50536671,50716012,50740066,50912770,51155583,51189154,51459824,51495381,51530855,51838060,51858919,51915083,52013122,52097586,52351750,52573307,52589260,52770564,53139119,53255074,53255831,53455896,54238350,54380862,54850911,54923239,55157451,55259583,55290695,55558924,55761021,56617225,56686911,56765212,56896655,56978843,57150093,57418367,57835954,57854240,57892302,57952914,58027343,58474786,58819083,59207116,59290396,59342860,59426331,59566055,60137883,60436491,60631295,61095324,61304025,61837026,61846683,61947231,62205672,62364994,62822100,62851083,63107112,63226139,63352383,64119803,64438114,64679404,65086020,65296910,65390960,65451291,65935895,65954507,66008962,66348834,66919954,67010240,67126474,67368106,67940670,68035825,68233371,68275986,68327596,68344354,68595970,69195826,69321183,69403234,69425088,69838642,69981381,70123879,70679255,70751842,70793410,70995501,71211432,71479266,72470048,72565612,72615983,72757554,73146632,73252383,73564830,73825295,73865505,74084170,74197474,74304460,74378626,74412106,74644759,74987272,75079751,75085727,75386520,75393455,76078491,76300327,76688866,76757631,77586152,77648599,78103224,78112383,78208971,78356292,78398299,78461770,78469152,78498591,78588136,78660923,78691551,78789872,79123074,79558683,79896187,80075314,80112861,80135691,80206799,80412288,80463016,80583202,80596285,80881750,81093160,81095451,81392059,81528804,81574431,81642990,81692242,81833745,82131826,82289961,82315164,82435083,82668695,82816971,82988879,83792251,83936552,84218495,84360681,84435711,84720651,84809835,84815106,84859229,84952092,85122919,85249895,85808434,85867804,87085856,87086751,87284421,87289328,87614663,87742252,87822095,87866127,87935125,88277796,88316242,88411653,88590354,88638606,88645231,88797514,88841179,88848455,88901004,89165352,89531583,89570408,89798999,90463824,90467583,90472146,90520893,90574471,91229805,91293442,91382567,91408055,91601644,91918895,93281300,93653794,93998722,94148914,94154124,94280091,94285103,94428621,94649883,95103419,95481419,96239899,96493083,96584991,96715542,96860571,96976999,97058100,97311792,97421125,97971588,98200494,98449687,98851180,99032855,99202434,99333167,99458914,99509644,...,127518660898694878229953465254485794490846807207721834300258156443493443103927595393680132329605061769356260729124796781464309118193280619401183475981021283950898642954845484248635588901293904716411536717314387993439944375202078490927863657804760256326135781266895548615141020547764827122464564499730220871784307004445930372563400654335981908035933881250740411241772643639400483585870658985651113665401789031739427501934224017173853435694896179564809646849358537408188539233347805206616128088816819932258672999099595850284862768647798546730091197477805760080418057381117483003290914732013952740141465849236335592478112398492191364782509137100641045944743792052784521694487607901574919780750897181405624586979980802826260645580827445725804429955686545169897952085307899342648063348660204341463507393976907503246137657615356678226225441684077464939367954623517832973126218804642349734775540349784364438140601855274631397896773177667210461232075797837914043750628664791542684374479101457710803031311686220896589213637821042147009288641000962425753881985509579984258439960855932813716928912263086254205365001423804212614004771179701216657351237000347936090850813979527716830268656470309819218649671813996626282281051416204735226195647951459567840398978740790618345001355687699454018901253131475591211027206688105058134391341681888443062584427693516357633209303712478049598852443089230165050317538583934018794995757102382077543722452757884213651522653487118977870041455889049221708302051943768469949501588088454435956557728368634571185142740346439533324241003779424933936853614597491849721892821281375547666842955371268397255688965695652535120405260050169249084318528756003825371598457918651040781268061490669149714937436595574307923774080144307961240946315232343694862234455369004902157728648738751966100896607118323692094108955923583051158358915427362492604653339076687716727877611188318187376868664665356320321798311923403691586409540861832505576700801139432251931496982898236396200319803248561807040202028987435946706770888193509437185240643386440623031080675000449696399232605940641514654813354256883282247310518996025902104237283021617945350794891371027663291193090950970874075743189207378605636293863493555993738007453008465352236505742917907365088537083032042169701097104647011831526497459715200231751745398031943103114041207985231764569901465269597752645052315076641545183079303898117328812261039667403990019213127831555291138068791058492245049239190800777441737739570817826794409882690785471789399310516878611329900467748029193403962470731221377878740387307637224858707139849918067787363947346852630787648880494117205355557421224783961560383779514171478585309184023195605196470170237856969383978606009429914716923086350109737068152574222248810752827750569107654932283191824270362911479357047648404268179143525443247327586528032969304949824206737620653993173373997029931590985787062444313323490782384587787872269205750693072266394037472436348911863653087229768753466241702432217510890809152245308850275876623909124582420815372507}
19066   7664386375159541695774371170552134838968655501922154454934856943880556: {495326,552073,838244,1007689,2000355,2028613,2133712,2359844,2381375,2400426,2818633,2857650,3048160,3156133,3429180,3502808,3657792,3717193,3940659,4029908,4115016,4276453,4415192,4629393,4636244,4945189,4967091,5056393,5500489,5711726,5943433,6301028,6495493,6605689,6754388,7148888,7595763,7811108,8042499,8359033,8903173,8968472,9042575,9651759,10089531,10185806,10407998,10417189,10851090,11272148,11327015,11422244,11516798,11574496,12023689,12322148,13021308,13592418,13611455,13943486,14101971,14560393,14566868,14769913,15318872,15319955,16124339,16181450,16333746,16804388,17128088,17158693,17168739,17233731,17672953,18383946,18389893,18761883,19269099,19393886,19417740,19887395,19914313,20041886,20221268,20257598,20438975,20712256,20821189,21029255,21119006,21885650,21921673,22335575,22406798,22419013,22490115,22541912,22620926,22716553,22815589,23034770,23262446,23301288,23408293,23473748,23864874,23989456,24253138,24526770,24799844,24878713,24911579,25235106,25359651,25365253,26123348,26139973,26161888,26213949,26236489,26262780,26802690,26973771,26988138,27283655,27435759,27506126,27641724,27675589,27716798,28013632,28589536,28616228,28831832,29432124,29606366,29932244,29935763,30038089,30395391,31067966,31515336,32107646,32163228,32263753,32435811,32722213,32740386,33069939,33361033,33595971,33724489,33969998,34647340,34718053,34999598,35246855,35435173,35435722,35454753,35587970,35605028,35869983,36058873,36843806,37646473,37733989,37773908,37863326,38619483,38639444,38658968,38691455,38783588,38976650,39081998,39284606,39368975,39446115,39548888,39898489,40051963,40079444,40240633,40660251,40666693,40836613,41043772,41302766,41576808,42075856,42090068,42296226,42519973,42705564,42865295,42906926,43268089,43306526,43369683,43491339,44103998,44380244,44492499,45027346,45664868,45720411,45975575,46041673,46121989,46285166,46429746,46571451,46602373,46647512,46771980,46773909,47073998,47238853,47242770,47335338,47397253,47532248,47713189,47791993,48184933,48652244,48840446,49462611,49496200,49890112,50099255,50211428,50352650,50392288,50622460,50660522,50777444,51438354,51489913,51630575,51947288,52015333,52049108,52145246,52380815,52388473,52478451,52552851,53473779,53709272,53740628,54429963,54779883,54835598,54950053,55006244,55170690,55218723,55594489,55683225,55708244,55789598,55949989,56126376,56294115,56549588,56550206,56691324,57217090,57631333,57769573,57875726,57976393,58045189,58048055,58104152,58388089,58440699,58633960,58848736,59066708,59206244,59338633,59395440,59473273,59757086,60047056,60119106,60142153,60407689,60422931,60423180,60460628,60505598,60746952,60803833,61156388,61653253,61956690,62310003,62822948,62856978,62999689,63142173,63315589,63355136,63395015,63411292,64003303,64004233,64029566,64069844,64324780,64397486,64451392,64499593,64622713,64797575,64851243,65367171,65613863,65717833,65736575,65777989,65963205,65978648,66017893,66087136,66204828,66693668,66819870,66965989,67316773,67382228,67552938,67863998,67887883,68207444,68340321,68587166,68637433,68660508,68764619,68767598,68941138,69311353,69448655,69463448,69657666,69847166,70360752,70405139,70411513,70636479,70742846,70956515,71217733,71274528,71317763,71693689,72007753,72317800,72345998,72422473,72507816,72523406,72985189,73035913,73054766,73134548,73444483,73543268,73679444,73688773,73936633,74008895,74112995,74178575,74225979,74348028,74816606,75582548,75947593,76074018,76110099,76200124,76369155,76378162,76783731,76995013,77189736,77270552,77306233,77526373,77701189,77757090,77961253,78019683,78146379,78374107,78425444,78527625,78600073,78846911,78883890,79155846,79158206,79181689,79235108,79385989,79588489,79882611,80145913,80183844,80573989,80581988,80765689,80849255,81357525,81460432,81571293,81738700,82057189,82092793,82449368,82462244,82583689,82596308,82789753,82904366,82940896,82959493,83060473,83338386,83425189,83555653,83749189,83762800,83781193,83801444,84034633,84142816,84190693,84252613,84469844,84855973,85089253,85147818,85409495,85679689,85815589,86083598,86108233,86468089,86691973,86753931,86781360,86813833,86838453,86911598,86929371,86933893,87052153,87075589,87268388,87305989,87418489,87712179,87850489,87900446,87953989,88055689,88234213,88369033,88465112,88555513,88646053,88787173,88804489,88810674,88873033,88935594,89014290,89151493,89210846,89886073,90024313,90269689,90351013,90368293,90518089,90553189,90587560,90592933,90624073,90653413,90707015,90721273,90773113,90784453,90833989,90835886,90853753,90868873,90875173,90878089,90977828,90997598,91034648,91395491,91433290,91642986,91964846,92428244,92566784,92705879,92755539,92880575,93308508,93547491,93734090,94233150,94660668,94948576,95151566,95305688,96410126,96643079,96657171,96982690,97010072,97019106,97629030,97669844,97945365,98086440,98235170,98487340,98862203,99013443,99523251,99588151,...,170024881198259837639937953672647725987795742943629112400344208591324590805236793858240176439473415692475014305499729041952412157591040825868244634641361711934531523939793978998180785201725206288548715623085850657919925833602771321237151543739680341768181041689194064820188027397019769496619419332973627829045742672594573830084534205781309210714578508334320548322363524852533978114494211980868151553869052042319236669245632022898471247593194906086412862465811383210918052311130406942154837451755759909678230665466127800379817024863731395640121596637074346773890743174823310671054552976018603653521954465648447456637483197989588486376678849467521394592991722737046028925983477202099893041001196241874166115973307737101680860774436594301072573274248726893197269447077199123530751131546939121951343191969210004328183543487142237634967255578769953252490606164690443964168291739523132979700720466379152584187469140366175197195697570222947281642767730450552058334171553055390245832638801943614404041748914961195452284850428056196012384854667949901005175980679439979011253281141243751622571883017448338940486668565072283485339694906268288876468316000463914787801085306036955773691541960413092291532895751995501709708068554939646968260863935279423787198638321054157793335140916932605358535004175300788281369608917473410845855122242517924083445903591355143510945738283304066131803257452306886733756718111912025059994342803176103391629937010512284868696871316158637160055274518732295611069402591691293266002117451272581275410304491512761580190320461919377765654671705899911915804819463322466295857095041834063555790607161691196340918620927536713493873680066892332112424705008005100495464610558201387708357415320892199619916582127432410565032106859077281654595086976458259816312607158673202876971531651669288134528809491098256125478607898110734877811887236483323472871118768916955637170148251090916502491552887141760429064415897871588781879387815776674102267734852576335908662643864315194933759737664749076053602705316581262275694517591345916246987524515254164041440900000599595198976807920855352873084472342511042996414025328034536138983044028823927134393188494703551054924121267961165434324252276504807515058484658074658317343270677953802982007657223876486784716110709389559601462806196015775368663279620266975668993864042590804152054943980309019426535287026130336860069753435522060244105738530823105083014719556538653358950837108740388184091721411322993398985587734369922316986094423769059213176921047295719199080689171481773200623664038924538616627641628503838320516410182966478276186466557423716485263129136841050198507325489607140743228299711948747178372685561971447078912030927473595293560317142625845304808012573219622564115133479649424203432296331747670437000758810206576377589099027150548639142730197872357572191367257663103448704043959073266432275650160871990897831996039908787981049416592417764654376512783717163025607667590763021858716629915131882484870782973025004621655603242956681187745536327078467034502165212166109894420496676}
19067   7694864748340401023770676359105078052270751851188203596328605679996491: {742989,1047805,1257366,1866998,2667140,2949805,3064957,3200568,3539766,3600639,3810200,3863293,3978733,4207177,4286475,4378510,4572240,4877056,5037385,5143770,5254212,5486688,5518990,5690269,5795305,6044862,6147013,6172524,6255277,6622788,6954366,7119838,7847413,7876285,8442985,8567589,8936110,8993149,9451542,9629686,9763885,9827653,10127684,10131582,10133929,10723332,10999918,11210590,11716662,11959177,12869012,13091689,13249273,13404013,13452708,13556269,14090185,14277805,14468120,14987077,15278709,15402685,15611997,15986569,16276635,16908222,16967893,17133366,17149726,17275197,17322349,17361744,18123224,18208585,18483222,18791989,18802628,19148590,19531962,19724173,20229253,20388073,20388627,20915229,20990774,21005485,21252062,21410110,21778328,21850302,22155166,22717453,22891652,22907653,22978308,24272175,24500619,24511928,25015844,25206582,25227853,25276585,25363342,25692132,25890320,26355277,26726654,27575919,28177390,28510933,28924093,29090829,29126610,29342185,29986820,30062829,30331902,30363598,30386397,30982909,30999805,31068384,31678509,31819832,32059669,32473069,32638573,32654185,32702360,32828475,33176197,33610197,33646808,33691177,33812868,33826597,33931389,34552155,34605277,34893669,34951932,35017040,35210622,35736920,35770285,35797311,35835886,35965028,35984184,36022142,36039790,36359293,36379707,36572533,36581012,36790155,36816374,36855632,37199766,37415305,37852659,38970542,39185022,39242832,39394170,40204035,40482207,40527188,40816573,40867453,41228329,41259189,41462586,41575197,41590717,41911357,42020448,42132613,42270757,42884304,42924342,43247748,43309175,43435069,43653848,44048377,44093252,44148186,44409549,44506285,44601238,44686693,44794628,44898366,45453877,46601949,46995613,47084413,47217385,47273004,47826644,48161469,48244842,48299305,48320534,48323710,48479485,48513733,49110579,49225333,49436110,49805293,50099305,50841133,50954997,51304715,51492644,51971010,52080373,52274773,52499397,52541174,52594820,52612585,52631102,53153583,53381955,53407542,53503069,54213668,54355453,54368149,55256557,55265709,55435744,55475305,55590733,56394968,56660862,56794989,56940752,56984869,57015838,57081085,57369934,57731317,57826244,57959166,57988452,58059913,58175382,58186237,58309390,58440349,58464975,58622997,58926909,59323332,59415310,60119166,60780517,60815305,60960548,61235173,61354189,61369333,61565658,61870250,61906328,61954149,62095268,62362640,62365212,62764285,62800777,62990360,63113784,63135102,63278075,63315373,63444339,63471805,64058346,64173469,64360389,64532149,64934110,64959789,65007157,65061385,65063998,65950148,66155997,66570366,67136590,67175785,67280797,67541019,67575493,67611733,68190253,68351582,68497302,68577769,68584472,68757805,69391333,69427749,69635305,69644619,69649213,69971268,70070468,70157970,70184342,70610997,70686985,70864155,71003007,71277878,71298372,71755886,72143197,72385462,72573284,72630190,72978366,73039844,73260669,73292450,73560920,73624964,73833385,74007805,74244300,74835168,75058820,75317142,75528975,75575785,75588432,75777949,75933690,75990783,76166166,76181869,76445485,77157531,77406973,77920932,78073662,78217869,78528685,79091977,79193920,79264115,79655317,80087305,80158808,80264053,80405975,80563908,80564240,80610942,80995936,82106617,82253397,82473310,82509366,82608920,82756035,82997653,83080004,83367085,83392477,83562366,83684397,83809304,83996677,84189564,84227785,84256318,84540073,84824382,84825309,84883813,85036986,85259305,85818889,85825635,85897933,86468324,86813589,86829310,87037117,87156228,87623929,87950940,88087438,88273104,88402057,88600062,88809366,89093160,89635629,89642893,89808493,89901493,90070584,90178659,90397250,90634770,90690942,90758397,91120428,91303094,91415674,91418185,91547344,91577197,91603453,91734582,91888549,91929085,92099305,92310253,92876888,92935035,92962909,93428617,93814336,94181972,94234422,94285467,94478185,94634462,94694149,95032704,95113477,95116938,95250155,95742334,96034358,96044349,96104766,96487170,96588190,96596229,96677088,96881053,97252297,97684813,97804414,97819717,97897069,98031805,98407093,98950957,98967972,99043885,99110774,99130704,99307242,99343669,...,255037321797389756459906930508971588981693614415443668600516312886986886207855190787360264659210123538712521458249593562928618236386561238802366951962042567901797285909690968497271177802587809432823073434628775986879888750404156981855727315609520512652271562533791097230282041095529654244929128999460441743568614008891860745126801308671963816071867762501480822483545287278800967171741317971302227330803578063478855003868448034347706871389792359129619293698717074816377078466695610413232256177633639864517345998199191700569725537295597093460182394955611520160836114762234966006581829464027905480282931698472671184956224796984382729565018274201282091889487584105569043388975215803149839561501794362811249173959961605652521291161654891451608859911373090339795904170615798685296126697320408682927014787953815006492275315230713356452450883368154929878735909247035665946252437609284699469551080699568728876281203710549262795793546355334420922464151595675828087501257329583085368748958202915421606062623372441793178427275642084294018577282001924851507763971019159968516879921711865627433857824526172508410730002847608425228009542359402433314702474000695872181701627959055433660537312940619638437299343627993252564562102832409470452391295902919135680797957481581236690002711375398908037802506262951182422054413376210116268782683363776886125168855387032715266418607424956099197704886178460330100635077167868037589991514204764155087444905515768427303045306974237955740082911778098443416604103887536939899003176176908871913115456737269142370285480692879066648482007558849867873707229194983699443785642562751095333685910742536794511377931391305070240810520100338498168637057512007650743196915837302081562536122981338299429874873191148615847548160288615922481892630464687389724468910738009804315457297477503932201793214236647384188217911847166102316717830854724985209306678153375433455755222376636374753737329330712640643596623846807383172819081723665011153401602278864503862993965796472792400639606497123614080404057974871893413541776387018874370481286772881246062161350000899392798465211881283029309626708513766564494621037992051804208474566043235890701589782742055326582386181901941748151486378414757211272587726987111987476014906016930704473011485835814730177074166064084339402194209294023663052994919430400463503490796063886206228082415970463529139802930539195505290104630153283090366158607796234657624522079334807980038426255663110582276137582116984490098478381601554883475479141635653588819765381570943578798621033757222659800935496058386807924941462442755757480774615274449717414279699836135574727894693705261575297760988234410711114842449567923120767559028342957170618368046391210392940340475713938767957212018859829433846172700219474136305148444497621505655501138215309864566383648540725822958714095296808536358287050886494655173056065938609899648413475241307986346747994059863181971574124888626646981564769175575744538411501386144532788074944872697823727306174459537506932483404864435021781618304490617700551753247818249164841630745014}
19068   7725463451190421799302988510070396707792462077031246970539936022112527: {323867,590147,704147,990652,1104146,1121531,1273067,1676488,1689131,1886049,2015378,2066531,2800497,2818931,2856467,2969027,3333925,3754931,4000710,4057226,4267424,4314131,4719688,4762750,4800852,5093987,5279147,5309649,5637266,5715300,5833427,6096320,6312266,6312347,6532931,6567765,6858360,6863267,7005616,7266131,7315584,7412387,7434386,7715655,7881318,8032547,8059816,8230032,8278485,8552906,8830384,9067293,9258786,9272488,9890378,9934182,10112786,10130987,10431549,10679757,10848347,11000978,11205827,11384267,11423452,11811707,11886866,12602056,12659605,12875267,12990986,13211378,13333907,13404165,13508776,13545131,13861427,13931627,14177313,14297776,14444529,14806427,15191526,15197373,15294131,15606827,15622216,15857821,15953507,16084998,16086265,16126547,16499877,16678931,16718066,16815885,16988747,17057507,17160587,17572187,17574993,17806346,17914307,17936944,18085150,18221531,18391931,18425987,19056037,19303518,19545347,19612907,19714187,19916531,20179062,20253131,20371612,20815996,20834378,21224747,21447937,21702180,21724667,21924131,21957347,22544296,22654030,22719107,22752131,22844488,23033596,23148992,23213627,23410931,23443787,23503285,24047378,24099227,24644296,24718931,24881531,25362333,25691531,25700049,25724589,25885187,26042616,26142947,26175131,26335931,27136931,27184836,27222910,27296531,27487787,27615131,27724833,27842353,27886972,27901187,27964667,28203942,28249931,28534547,28614565,28722885,29007467,29120786,29133736,29297943,29440957,29539826,29666531,30166307,30259787,30637744,30639910,30726107,31252427,31269805,31486161,31878093,32022227,32115165,32248678,32267507,32298131,32362900,32634467,32667492,32775453,33091547,33232749,33395267,33608776,34256176,34317386,34337478,34467462,34542107,34722131,35345906,35349947,35378629,35439347,35469131,36092747,36181547,36240707,36767892,36779786,36801131,37483525,37523766,37650947,37680131,37809873,38045013,38197117,38291147,38538198,38696531,38787772,38835480,39129131,39674507,39774790,39828626,40083772,40089981,40160027,40245467,40442536,40515196,40529747,40877950,41424512,41642378,41714987,41967131,42058510,42106931,42238012,42266085,42691907,43052267,43107587,43466387,43604027,43689915,43771300,43843346,44015747,44179931,44289227,44452931,44589131,44671150,44813596,44838026,44860931,44956285,44980230,45083824,45104867,45241852,45433106,45497853,45545397,45563867,45631178,45726265,45805931,46047347,46069540,46234667,46524892,46602576,46608131,46816586,46947496,47244707,47640227,47729748,47824187,47978912,48190931,48217067,48347627,48506276,48997427,49053540,49075067,49345597,49599688,49616531,49757426,49823158,50358467,50470212,50536547,50612747,50658985,50663507,50719302,50730506,50891531,51421067,51521531,51671987,52046867,52121627,52246696,52270931,52279946,52323776,52395131,52419947,52427898,52472978,52525560,52815933,53136131,53357027,53605380,53753829,53869931,53947542,53976276,54015827,54033213,54059685,54088667,54168037,54475931,54567310,54692867,54813107,54871518,54981107,55012252,55116565,55172627,55224561,55283448,55339787,55351178,55433596,55767827,55799649,55886267,55993285,56027264,56592707,56756507,56966531,57082931,57179072,57232456,57315131,57569627,57661931,57663664,57777131,57983987,58455813,58600667,58777533,58864248,58940747,59091255,59212732,59234027,59368931,59481131,59503547,59682587,59783305,59864488,59871526,59905667,60011413,60076178,60349427,60790782,60833867,61357931,61488227,61683131,61791131,62135932,62193879,62199707,62456267,62626667,62881307,63030672,63197987,63387131,63470987,63784307,63888347,64215292,64326456,64365805,64386513,64527506,64871622,64958507,65019587,65444426,65480772,65626427,65726867,65743525,65746931,66046931,66139878,66222279,66722066,66759587,66901857,66916547,67033931,67112027,67191942,67326131,67347549,67448978,67732187,67767085,67939996,68363147,68647067,69060227,69153587,69294680,69436106,69506531,69598931,69999196,70138957,70221947,70439627,70493710,70692131,70870346,70871444,70871531,70909506,71175940,71210056,71245667,71651387,71739966,71826467,72018131,72117746,72191531,72282805,72346907,72367263,72432947,72480801,72485565,72638627,72792131,73046531,73333141,73366187,73649747,73687612,73699547,73798931,73963931,74144507,74154165,74209931,74389187,74437907,74632067,74873147,75175931,75270947,75292946,75349907,75467978,75547816,75726652,75788387,75819467,75866027,75958931,76200685,76205267,76479947,76510307,76961867,77155307,77238966,77244131,77278888,77317931,77317936,77332667,77382910,77552747,77567176,77619085,77669387,77953300,77956515,78163996,78569212,78737950,78811761,78877067,78892230,78946653,79029131,79097776,79111667,79452467,79796978,80092787,80103926,80111313,80158888,80236931,80289107,80354147,80481266,80509427,80625131,80943131,81056387,81206387,81243707,81267277,81320502,81333386,81379931,81637307,81673226,81818987,81867131,81998867,82087544,82117787,82153307,82176947,82437685,82605532,82631531,82803131,82814507,83153616,83307131,83373107,83569307,83580131,83644907,83730827,83805587,83996027,84017027,84151712,84180136,84214931,84266531,84276827,84284629,84307667,84328187,84460787,84571931,84592452,84612107,84761627,84991293,85016531,85039946,85103293,85103507,85113131,85256531,85411128,85523757,85584131,85620947,85666787,85730590,85813852,86054901,86122931,86131667,86209931,86390027,86536178,86558267,86613052,86682347,86715131,86739366,86828867,86925107,86938749,86956931,86982678,87067307,87237587,87263073,87418931,87464085,87529931,87588085,87595667,87739427,87852131,87949067,87990131,88207996,88250027,88288931,88346747,88384931,88391267,88571531,88577627,88753021,88760488,88785947,88809131,88872227,88984998,89061131,89122965,89141531,89173187,89199347,89214947,89296931,89342147,89366987,89445131,89558507,89676131,89745827,89758667,89830067,89903147,89907131,89988947,90041531,90054692,90099707,90148931,90162707,90178749,90199931,90252347,90261947,90277787,90327131,90388787,90478547,90531131,90577931,90610931,90613067,90619427,90642131,90671531,90716605,90731507,90739547,90758027,90772547,90791531,90810131,90820427,90831107,90833147,90850931,90862931,90870587,90876707,90883931,90887747,90888131,90892667,90896987,91299805,91329736,91440822,91951150,92031205,92083346,92243978,92348487,92570332,92805375,92859492,93142902,93182713,93204746,93295024,93543960,93547818,93823525,94147996,94477706,94485540,94670676,94702653,94794506,95064496,95426378,95583986,96087519,96369866,97228117,97304488,97401165,97595997,97680892,98925222,98992400,99339121,99780224,99855549,...,382555982696084634689860395763457383472540421623165502900774469330480329311782786181040396988815185308068782187374390344392927354579841858203550427943063851852695928864536452745906766703881714149234610151943163980319833125606235472783590973414280768978407343800686645845423061643294481367393693499190662615352921013337791117690201963007945724107801643752221233725317930918201450757611976956953340996205367095218282505802672051521560307084688538694428940548075612224565617700043415619848384266450459796776018997298787550854588305943395640190273592433417280241254172143352449009872744196041858220424397547709006777434337195476574094347527411301923137834231376158353565083462823704724759342252691544216873760939942408478781936742482337177413289867059635509693856255923698027944190045980613024390522181930722509738412972846070034678676325052232394818103863870553498919378656413927049204326621049353093314421805565823894193690319533001631383696227393513742131251885994374628053123437304373132409093935058662689767640913463126441027865923002887277261645956528739952775319882567798441150786736789258762616095004271412637842014313539103649972053711001043808272552441938583150490805969410929457655949015441989878846843154248614205678586943854378703521196936222371855035004067063098362056703759394426773633081620064315174403174025045665329187753283080549072899627911137434148796557329267690495150952615751802056384987271307146232631167358273652640954567960461356933610124367667147665124906155831305409848504764265363307869673185105903713555428221039318599972723011338274801810560843792475549165678463844126643000528866113805191767066897086957605361215780150507747252955586268011476114795373755953122343804184472007449144812309786722923771322240432923883722838945697031084586703366107014706473185946216255898302689821354971076282326867770749153475076746282087477813960017230063150183632833564954562130605993996068960965394935770211074759228622585497516730102403418296755794490948694709188600959409745685421120606086962307840120312664580528311555721930159321869093242025001349089197697817821924543964440062770649846741931556988077706312711849064853836052384674113082989873579272852912622227229567622135816908881590480667981214022359025396056709517228753722095265611249096126509103291313941035494579492379145600695255236194095829309342123623955695293709704395808793257935156945229924635549237911694351986436783119002211970057639383494665873414206373175476735147717572402332325213218712453480383229648072356415368197931550635833989701403244087580211887412193664133636221161922911674576121419549754203362091842040557892362946641482351616066672263674351884681151338542514435755927552069586815589410510713570908151935818028289744150769259050329211204457722666746432258483251707322964796849575472811088734438071142945212804537430576329741982759584098907914849472620212861961979520121991089794772957361187332939970472347153763363616807617252079216799182112417309046735590959261689306260398725107296652532672427456735926550827629871727373747262446117521}
19069   7756182955356612809626739910927227154090591277678434893826143074918898: {19069,1238315,1466927,1485978,1656219,2095610,2514732,3023067,3733996,4129727,4702139,5334280,5899610,6001065,6085839,6129914,6401136,6870191,7052339,7079532,7144125,7201278,7620400,7726586,7957466,8113427,8414354,8455899,8572950,8757020,9144480,9468399,9754112,10074770,10287540,10508424,10628267,10973376,11026799,11037980,11151579,11380538,11590610,11614499,11820179,11821977,12089724,12294026,12345048,12510554,12829359,13245576,13366139,13669439,13888179,13895579,13908732,14239676,14279315,14808011,14835567,14901273,15169179,15694826,15752570,16176659,16492751,16501467,16885970,17089091,17135178,17830299,17872220,17986298,18903084,19259372,19486479,19527770,19655306,19726259,19817067,19988927,20255368,20263164,20267858,20471867,21446664,21563759,21794147,21999836,22421180,22787289,23433324,23552939,23907299,23918354,24127497,25077099,25464515,25480739,25492019,25602671,25738024,26019995,26183378,26498546,26709519,26808026,26847899,26905416,27112538,27127725,28180370,28555610,28791995,28927151,28936240,28955277,29246639,29407679,29974154,30268593,30557418,30805370,31223994,31251567,31855667,31973138,32553270,33573851,33694739,33816444,33935786,33981045,34183019,34266732,34299452,34550394,34644698,34712591,34723488,34858715,35387219,36071067,36246448,36417170,36864539,36966444,37079279,37217819,37583978,37605256,38297180,38356559,38572859,39063924,39448346,40453625,40458506,40776146,40777254,40834365,41079059,41282351,41418059,41830458,41981548,42010970,42305913,42504124,42820220,43239467,43399727,43556656,43681179,43700604,44309739,44310332,44691419,45434906,45715859,45783304,45815306,45956616,45959865,46430591,47089391,48297899,48373017,48484715,48544350,49001238,49023856,49230539,49943951,50031688,50078399,50104715,50413164,50455706,50553170,50643995,50726684,51208259,51384264,51476079,51506217,51701193,51780640,52381427,52710554,52797515,53018859,53453308,54221231,54620879,54714125,55151838,55169679,55262399,56004047,56016995,56285649,56354780,56552315,57021866,57586925,57807297,57848186,58156115,58181658,58253220,58684370,59662185,59742939,59973640,60125658,60632845,60663804,60727196,60772794,61316925,61876379,61965818,61999610,62136768,62308799,62463567,63087765,63357018,63639664,64119338,64253267,64362959,64890491,64946138,65277146,65308370,65404720,65656950,65698139,65765019,66104339,66352394,67006725,67220394,67257039,67293616,67382354,67470345,67619027,67625736,67653194,67862778,67871279,68149659,68439311,68446767,68765315,69065867,69104310,69210554,69291995,69656579,69787338,69903864,70034080,70139027,70224879,70421244,70501787,71473840,71540570,71594622,71671772,71826601,71930056,71968368,72044284,72079580,72718586,72759414,73145066,73162024,73580310,73632748,73657619,73711264,74015915,74399532,74452607,74636139,74734737,74827259,74830610,75455567,75525551,75705318,76078953,76095759,76265267,77665427,77669915,77872751,77941084,78370044,78419919,78485664,78641847,78709467,78788340,79100339,79913519,80269115,80408070,80921313,80964414,81054376,81435791,81492587,81633146,81734906,81850965,82007939,82307277,82456658,82518378,82925172,83026767,83150394,83181434,83822714,84040896,84265226,84541514,84549011,84924995,85141427,85768608,85848684,86307947,86495496,86618350,86870138,87046319,87307696,87498995,87869999,88096754,88186504,88296372,88589305,88663979,88819098,88860527,88969925,89012570,89202476,89373386,89589256,89796732,89807289,90114267,90907754,91085939,91186173,91586879,91766219,91898267,92109515,93203898,93878639,93991226,94046099,94168826,94434770,94546008,94658315,95653288,96260927,96322938,96489684,96598610,96641068,96647420,96791259,96891299,96958970,97027466,97262579,97307433,97441625,97489427,97704995,98166639,98211515,98221158,98450666,98802299,98872220,98961779,98990891,99209817,99610586,...,510074643594779512919813861017943177963387228830887337201032625773973772415710381574720529318420247077425042916499187125857236472773122477604733903924085135803594571819381936994542355605175618865646146869257551973759777500808313963711454631219041025304543125067582194460564082191059308489858257998920883487137228017783721490253602617343927632143735525002961644967090574557601934343482635942604454661607156126957710007736896068695413742779584718259238587397434149632754156933391220826464512355267279729034691996398383401139451074591194186920364789911223040321672229524469932013163658928055810960565863396945342369912449593968765459130036548402564183778975168211138086777950431606299679123003588725622498347919923211305042582323309782903217719822746180679591808341231597370592253394640817365854029575907630012984550630461426712904901766736309859757471818494071331892504875218569398939102161399137457752562407421098525591587092710668841844928303191351656175002514659166170737497916405830843212125246744883586356854551284168588037154564003849703015527942038319937033759843423731254867715649052345016821460005695216850456019084718804866629404948001391744363403255918110867321074625881239276874598687255986505129124205664818940904782591805838271361595914963162473380005422750797816075605012525902364844108826752420232537565366727553772250337710774065430532837214849912198395409772356920660201270154335736075179983028409528310174889811031536854606090613948475911480165823556196886833208207775073879798006352353817743826230913474538284740570961385758133296964015117699735747414458389967398887571285125502190667371821485073589022755862782610140481621040200676996337274115024015301486393831674604163125072245962676598859749746382297231695096320577231844963785260929374779448937821476019608630914594955007864403586428473294768376435823694332204633435661709449970418613356306750866911510444753272749507474658661425281287193247693614766345638163447330022306803204557729007725987931592945584801279212994247228160808115949743786827083552774037748740962573545762492124322700001798785596930423762566058619253417027533128989242075984103608416949132086471781403179565484110653164772363803883496302972756829514422545175453974223974952029812033861408946022971671629460354148332128168678804388418588047326105989838860800927006981592127772412456164831940927058279605861078391010580209260306566180732317215592469315249044158669615960076852511326221164552275164233968980196956763203109766950958283271307177639530763141887157597242067514445319601870992116773615849882924885511514961549230548899434828559399672271149455789387410523150595521976468821422229684899135846241535118056685914341236736092782420785880680951427877535914424037719658867692345400438948272610296888995243011311002276430619729132767297081451645917428190593617072716574101772989310346112131877219799296826950482615972693495988119726363943148249777253293963129538351151489076823002772289065576149889745395647454612348919075013864966809728870043563236608981235401103506495636498329683261490028}
19070   7787023734321345432993162939302824526080170183382933792933001903454632: {361969,647734,1159549,1180294,1408294,1840381,1981304,2208292,2228967,2243062,2546134,2856769,2969341,3143415,3352976,3378262,3772098,3979249,4030756,4133062,4667495,5205661,5316721,5600994,5637862,5712934,5870941,5938054,6667850,7083889,7509862,7632349,8001420,8069821,8114452,8534848,8628262,8849415,9049921,9194871,9439376,9525500,9601704,10132081,10187974,10558294,10619298,10670461,10801917,10946275,11274532,11314141,11421169,11430600,11589879,11635009,11666854,11848561,11936199,12192640,12381181,12621531,12624532,12624694,12699889,12859425,13065862,13135530,13716720,13726534,13797475,13862941,14011232,14073469,14532262,14631168,14824774,14868772,15112155,15431310,15539101,15643249,15762636,16065094,16119632,16460064,16556970,16990621,17070807,17105812,17385915,17660768,17723447,17799595,18134586,18223549,18428029,18441039,18517572,18544976,18765831,19648861,19780756,19868364,20225572,20261974,20863098,21359514,21696694,21959809,22001956,22340275,22411654,22520771,22754689,22768534,22846904,23446429,23542239,23623414,23628855,23773732,24074215,25204112,25319210,25328955,25338247,25500481,25702767,25750534,25888129,25981972,26178109,26422756,26667814,26808330,26852209,26979447,27017552,27090262,27499795,27618289,27722854,27863254,28026475,28284829,28354626,28379761,28595552,28889058,29042269,29291655,29419261,29482959,29612854,30356701,30383052,30394746,30401787,30588262,30729661,31213654,31244432,31564609,31715642,31907014,32025949,32118001,32169996,32172530,32253094,32301889,32904599,32999754,33125821,33357862,33436132,33631770,33977494,34034461,34115014,34321174,34395901,34576189,35144374,35149986,35383921,35473309,35612692,35828614,35873888,35877531,36170300,36274561,36443062,36783862,36851974,37684609,38112074,38607036,38730049,39090694,39146767,39162589,39225814,39275067,39428374,39593329,39679261,39747819,39833062,40060391,40212039,40358124,40506262,40534621,40668807,40743224,40959601,41467201,41631992,41668756,41811107,42139969,42270555,42449494,42724861,42833415,42874315,42895874,43057501,43404360,43449334,43636849,43777727,43848262,43914694,44048509,44294641,44621809,44961231,45088592,45308060,45438214,45504262,45515581,45596401,45688976,45836127,46067192,46208055,46297984,46427254,46720321,46821862,46835991,46887574,47006570,47871475,47959707,48094756,48198454,48223069,48692221,48829905,49236289,49288592,49437862,49763062,50313841,50390269,50542909,50724666,50903679,51383062,51400098,51449178,51452701,51770374,51825591,51967047,52085232,52285894,52350262,52426609,52476935,52575361,52671862,53130155,53167489,53525275,54047041,54119869,54273862,54369672,54445820,54593062,54625755,54627649,54844189,54975574,55203649,55230262,55387915,55449666,55684706,55773944,55802374,55929334,56059009,56200561,56375967,56407884,56499862,56833981,56973949,57069094,57229130,57322609,57445770,57945661,58014934,58241572,58267472,58595886,58631101,58881914,58903261,59079652,59172519,59333062,59511409,60332614,60519574,60687759,60907741,61164219,61165881,61275488,61279820,61452214,62464669,62504854,62539610,62656369,62745687,62910961,62938799,62972322,63016455,63227581,63408355,63756186,63917809,64016771,64044454,64104541,64230330,64497356,64535014,64596262,64725800,64967389,65268934,65334984,65550906,65635441,65695741,65755969,66183094,66235201,66465498,66473089,66768829,66790534,66816635,66945409,67062769,67179841,67217552,67760881,67818589,68152359,68391709,68512352,68634772,68674956,68722959,68934924,69084214,69444262,70231921,70340929,70443475,70691812,70699894,70757258,70878694,70881649,70922579,70938262,71309041,71836801,72097981,72185494,72363094,72481414,72816525,72819709,73376881,73501857,73535784,73559572,73602262,74122621,74171761,74465089,74659201,74967050,75047532,75091741,75301894,75360262,75619746,75683559,75829755,75846301,75892849,75908995,76090026,76124509,76394234,76536961,76582294,76808689,77076396,77122429,77163191,77344369,77393062,77575544,77670960,77869681,78258262,78390599,78469441,78680221,78889201,79055089,79065831,79349014,79464769,79545841,79549580,79657252,79907101,79986589,80105281,80167544,80179962,80262529,80320054,80490934,80880001,80885072,80917981,81030392,81059494,81405169,81515869,81589309,81755900,81880189,82023901,82413169,82517821,82656349,82727757,82759489,82827889,82849024,83284756,83331709,83397661,83429974,83593789,83696627,83934262,84009841,84117020,84213862,84290749,84474781,84476024,84532170,84626161,85127389,85383814,85496641,85532799,85635421,85662961,86104534,86146369,86215174,86224669,86328061,86680861,86772279,86932774,87066781,87183601,87208054,87272487,87379830,87501121,87542600,87611101,87686692,87697789,87740701,87762049,88026555,88031494,88153981,88359862,88407169,88578454,88593649,88905862,89028349,89044801,89077489,89157949,89178262,89221021,89342300,89432701,89589715,89627192,89670769,89676052,89697409,89721862,89723761,89912570,89924209,89960460,90055355,90099475,90112127,90116989,90167648,90188487,90209734,90240541,90279421,90380401,90483704,90504061,90548989,90598129,90631069,90729601,90795121,90803329,90829789,90852721,90866212,90877021,90881629,90895489,90903229,90907009,90995706,91090794,91127734,91159191,91262356,91452530,91611862,92040935,92094694,92139080,92469334,92948727,92999415,93049784,93205152,93216262,93633172,93894992,94489414,94873919,95035527,95280454,95459496,95648374,95957824,96179007,96381862,96434134,96695254,97012552,97419207,97426355,97915719,97962555,97994854,98107080,98150134,98485425,98691194,99199376,99233062,99514852,99528591,99609107,99646316,...,765111965392169269379720791526914766945080843246331005801548938660960658623565572362080793977630370616137564374748780688785854709159683716407100855886127703705391857729072905491813533407763428298469220303886327960639666251212470945567181946828561537956814687601373291690846123286588962734787386998381325230705842026675582235380403926015891448215603287504442467450635861836402901515223953913906681992410734190436565011605344103043120614169377077388857881096151224449131235400086831239696768532900919593552037994597575101709176611886791280380547184866834560482508344286704898019745488392083716440848795095418013554868674390953148188695054822603846275668462752316707130166925647409449518684505383088433747521879884816957563873484964674354826579734119271019387712511847396055888380091961226048781044363861445019476825945692140069357352650104464789636207727741106997838757312827854098408653242098706186628843611131647788387380639066003262767392454787027484262503771988749256106246874608746264818187870117325379535281826926252882055731846005774554523291913057479905550639765135596882301573473578517525232190008542825275684028627078207299944107422002087616545104883877166300981611938821858915311898030883979757693686308497228411357173887708757407042393872444743710070008134126196724113407518788853547266163240128630348806348050091330658375506566161098145799255822274868297593114658535380990301905231503604112769974542614292465262334716547305281909135920922713867220248735334295330249812311662610819697009528530726615739346370211807427110856442078637199945446022676549603621121687584951098331356927688253286001057732227610383534133794173915210722431560301015494505911172536022952229590747511906244687608368944014898289624619573445847542644480865847767445677891394062169173406732214029412946371892432511796605379642709942152564653735541498306950153492564174955627920034460126300367265667129909124261211987992137921930789871540422149518457245170995033460204806836593511588981897389418377201918819491370842241212173924615680240625329161056623111443860318643738186484050002698178395395635643849087928880125541299693483863113976155412625423698129707672104769348226165979747158545705825244454459135244271633817763180961335962428044718050792113419034457507444190531222498192253018206582627882070989158984758291201390510472388191658618684247247911390587419408791617586515870313890459849271098475823388703972873566238004423940115278766989331746828412746350953470295435144804664650426437424906960766459296144712830736395863101271667979402806488175160423774824387328267272442323845823349152242839099508406724183684081115784725893282964703232133344527348703769362302677085028871511855104139173631178821021427141816303871636056579488301538518100658422408915445333492864516966503414645929593699150945622177468876142285890425609074861152659483965519168197815829698945240425723923959040243982179589545914722374665879940944694307526727233615234504158433598364224834618093471181918523378612520797450214593305065344854913471853101655259743454747494524892235042}
19071   7817986263409444259102417115977661627131488511486996764819587528220540: {38138,971601,1733641,1770441,2112441,2476630,2760365,2933854,2971956,3312438,3364593,3819201,4191220,4816361,5029464,5038445,5067393,5501693,5658147,6046134,6070889,6199593,7441121,7467992,8259454,8401491,8456793,8569401,8907081,9404278,9829721,10001775,10143065,10668560,11264793,11799220,11906875,12002130,12171678,12259828,12331649,12802272,12942393,13252061,13740382,14093165,14104678,14159064,14288250,14402556,15240800,15281961,15453172,15530353,15780665,15837441,15914932,15928947,15989933,16226854,16828708,16911798,17119901,17145900,17500281,17514040,18267649,18288960,18585965,18936798,18937041,19491433,19508224,19598793,19703295,19991041,20149540,20540081,20575080,20589801,21016848,21063449,21256534,21382265,21798393,21946752,22053598,22075960,22237161,22303158,22592189,22761076,23146965,23181220,23228998,23551121,23640358,23643954,24097641,24179448,24588052,24690096,24725945,24835455,25021108,25281965,25658718,26323873,26491152,26732278,27201879,27338878,27502445,27776358,27791158,27817464,28478473,28479352,28558630,29616022,29671134,29717165,29802546,30338358,30392961,30995129,31294647,31389652,31505140,32039271,32353318,32477465,32545041,32985502,33002934,33028445,33617481,33771940,34152801,34178182,34186633,34270356,34464593,35435121,35650321,35660598,35744440,35889289,35972596,36427993,37806168,37978815,38518744,38625801,38809073,38972958,39055540,39310612,39406921,39452518,39634134,39643769,39977854,40001721,40212495,40308793,40510736,40526328,40535716,40635393,40943734,41584281,41794881,41795165,42531939,42822061,42893328,43127518,43333587,43588294,43999672,44013881,44057693,44419281,44515865,44842360,45212875,45574578,45592119,45634313,45882393,46820481,46866648,47105878,47573463,47814598,47836708,47860521,48254994,48258795,48379641,48788233,48802201,49499631,49949233,50036793,50154198,50447655,50929030,50961478,50966241,50984038,51172521,51205342,51476048,51481761,52039990,52085945,52366756,52716561,52724979,52997092,53156081,53419038,53616052,53695798,53742921,53810832,54225076,54255450,54379721,54664593,55175793,55189649,55277961,56360740,56635075,56996921,57111220,57168111,57583990,57854302,57872480,57910554,58493278,58636041,58815358,58838721,59142561,59284793,59588561,59749593,59948308,60118445,60537186,60759393,61114836,61610740,62447988,62503134,63674241,63711334,63946276,64140329,64343811,64476641,64766873,65106540,65174001,65356841,65772393,65872041,66186601,67147702,67389478,67632888,67871572,67878601,67962090,68057275,68157321,68256393,68366038,68533464,68598904,69100788,69155953,69289396,69425182,69446976,69640881,69717430,70146601,70232793,70331361,70509855,70774438,70901593,71297561,71427521,71842889,72142134,72297681,72492896,72801965,72834340,73729078,73849565,73850249,73916521,73932888,74156793,74158558,74435638,74460481,74644593,75167956,75210512,76086999,76594360,76599775,76713118,77074593,77100147,77145718,77173767,77655561,77683673,78127848,78423793,78428841,78525393,78896692,79007793,79173241,79893209,80232401,80621695,80907250,80917012,81410793,81418561,81552292,81554508,81668730,81889593,82124093,82158118,82463361,82564702,82836118,82845393,83174499,83527059,83660916,83703561,83894001,83963096,84021940,84611826,84749793,84885983,85008248,85603641,85640440,85793465,85843695,86168655,86478934,86799454,87022401,87113312,87362358,87401208,87642461,87893829,88322871,88364765,88619478,88620664,88673353,88999593,89174761,89382838,89678621,90498921,90720641,90779361,90869812,91431718,91566608,91630612,91913232,91919730,91949465,92031433,92178321,92861182,93757281,93809415,94178782,94458483,94665773,95133593,95512241,95634279,96066681,96271441,96309421,96345495,96595798,96746034,96802521,96894393,96969430,97008793,97088700,97903401,98002476,98047712,98326359,98461078,99094241,99274641,99436975,99571565,99698247,99887902,...,1147667948088253904069581187290372150417621264869496508702323407991440987935348358543121190966445555924206346562123171033178782063739525574610651283829191555558087786593609358237720300111645142447703830455829491940959499376818706418350772920242842306935222031402059937536269184929883444102181080497571987846058763040013373353070605889023837172323404931256663701175953792754604352272835930870860022988616101285654847517408016154564680921254065616083286821644226836673696853100130246859545152799351379390328056991896362652563764917830186920570820777300251840723762516430057347029618232588125574661273192643127020332303011586429722283042582233905769413502694128475060695250388471114174278026758074632650621282819827225436345810227447011532239869601178906529081568767771094083832570137941839073171566545792167529215238918538210104036028975156697184454311591611660496758135969241781147612979863148059279943265416697471682581070958599004894151088682180541226393755657983123884159370311913119397227281805175988069302922740389379323083597769008661831784937869586219858325959647703395323452360210367776287848285012814237913526042940617310949916161133003131424817657325815749451472417908232788372967847046325969636540529462745842617035760831563136110563590808667115565105012201189295086170111278183280320899244860192945523209522075136995987563259849241647218698883733412302446389671987803071485452857847255406169154961813921438697893502074820957922863703881384070800830373103001442995374718467493916229545514292796089923609019555317711140666284663117955799918169034014824405431682531377426647497035391532379929001586598341415575301200691260872816083647340451523241758866758804034428344386121267859367031412553416022347434436929360168771313966721298771651168516837091093253760110098321044119419557838648767694908069464064913228846980603312247460425230238846262433441880051690189450550898500694863686391817981988206882896184807310633224277685867756492550190307210254890267383472846084127565802878229237056263361818260886923520360937993741584934667165790477965607279726075004047267593093453465773631893320188311949540225794670964233118938135547194561508157154022339248969620737818558737866681688702866407450726644771442003943642067077076188170128551686261166285796833747288379527309873941823106483738477137436802085765708582287487928026370871867085881129113187426379773805470835689773906647713735083055959310349357006635910172918150483997620242619119526430205443152717206996975639656137360441149688944217069246104593794651907501969104209732262740635662236580992400908663485768735023728364258649262610086275526121673677088839924447054848200016791023055654043454015627543307267782656208760446768231532140712724455807454084869232452307777150987633613373168000239296775449755121968894390548726418433266203314213428835638413612291728989225948278752296723744548417860638585885938560365973269384318872083561998819911417041461290090850422851756237650397546337251927140206772877785067918781196175321889957598017282370207779652482889615182121241787338352563}
19072   7849071019795304905332688994101915718090437651353321317834215687366478: {57207,723938,780271,1121767,1295468,1349071,2142367,2319098,2360588,2816588,3269527,3680762,3714945,3962608,4389487,4400781,4416584,4457934,4486124,4968657,5058007,5092268,5239025,5713538,5938682,6286830,6534493,6607807,6705952,6717967,6756524,7487071,7544196,7958498,8061512,8266124,8906047,9069201,9334990,10411322,10528207,10633442,11201988,11275724,11425868,11741882,11876108,12134167,12389181,12878071,13195807,13335700,13618447,13934671,14106417,14167778,14749025,14984071,15019724,15264698,15297487,15324785,16002840,16026271,16139642,16228904,16854847,17061271,17069696,17256524,17267407,17698830,17781487,18003195,18099842,18257517,18293767,18389742,18600271,18878752,19051000,19203408,19316465,19617271,19893665,20264162,20375948,20610573,20627071,20828167,21035885,21116588,21129271,21157017,21238596,21340922,21432375,21603834,21892550,22549064,22628282,22823287,22842338,22861200,22922287,23179758,23270018,23333708,23697122,23872398,24340281,24385280,24762362,24919433,25186925,25243062,25249064,25249388,25367697,25399778,25718850,26131724,26245447,26271060,26341927,27207007,27433440,27453068,27594950,27685087,27725882,27971071,28022464,28146938,28405197,28451345,28976525,29064524,29262336,29649548,29737544,29861071,29945201,30224310,30735065,30862620,31078202,31276385,31286498,31525272,31884801,32130188,32239264,32458687,32825167,32920128,33080397,33113940,33372727,33454737,33703901,33736327,33827047,33981242,34141614,34211624,34730287,34771830,34843497,35321536,35446894,35460537,35465931,35599190,36071647,36249271,36269172,36447098,36856058,36882078,37035144,37089952,37531662,37747447,38488077,38499713,38705767,39237065,39297722,39381425,39561512,39736728,39741271,39998527,40098417,40169671,40340527,40451144,40523948,40596271,41008317,41664537,41686737,41726196,42033247,42214925,42535447,42702271,42719028,42837945,43118071,43393388,43752269,43919618,44003912,44354671,44424033,44506701,44680550,44703819,44823308,44926207,44965745,45041542,45507537,45509378,45537068,45693808,45817207,46139047,46264361,46619647,46892858,47084478,47246828,47257710,47547464,47809807,48148430,48202927,48359671,48529977,48819425,49138265,49478253,49504401,50408224,50638420,50657910,50669645,50676271,50676494,51000962,51267273,51405534,51501068,51776258,51963944,52035127,52333927,52356218,52845512,53149687,53335628,53490897,53616660,53704418,53958894,54035104,54180524,54393271,54999590,55236578,55445708,55726508,56052950,56396167,56537071,56569658,56709252,56759522,57191104,57778116,58068007,58084538,58459437,58583310,58838522,58965918,59178777,59225708,59294671,59429527,59451201,59795885,59966781,60024041,60166087,60498007,60713402,60766104,60789492,60803574,61176524,61415601,61459322,61742887,62427308,62488864,62771047,62898271,63088567,63129218,63404287,63431284,63814028,64030327,64051898,64236002,64278727,64339992,64345060,64506188,64603778,64691277,65078071,65382271,65382441,65458445,65805127,65809198,65999508,66246365,66251642,66403087,66715724,66872264,67020065,67052527,67263540,67577407,67781345,67954988,68039071,68068922,68230028,68361867,68642348,68791802,69152378,69618607,70288748,70299972,70450925,70550071,70658817,70712287,70767842,70946618,71225384,71389025,71657228,71721897,71747776,71755062,71882071,72038887,72340600,72382491,72402271,72549122,72762127,72886124,73067767,73421071,73467709,73567724,73671271,73703948,73770847,74382217,74799007,74935385,75229927,75231297,75369218,75842071,76224148,76393545,76442217,76476057,76533271,76808013,77013425,77074567,77214072,77297047,77460098,77543081,78059985,78181388,78293534,78325178,78451628,78550134,78636247,78856748,79053487,79186658,79218367,79341271,79358522,79495638,79625527,79666124,79932845,80120782,80128557,80222767,80424078,80543697,80650447,80716248,80841967,81012524,81069242,81337614,81383175,81486448,81919202,82132207,82203271,82309327,82658167,82934402,83263984,83337512,83400271,83466007,83622214,83629087,83822407,84044671,84279938,84294367,84356071,84509071,84541110,84839465,84898988,85015807,85121201,85449722,85666830,85748630,85791748,85859287,86115002,86375985,86588071,86611745,86781453,86808720,86865831,86883127,86898668,87121087,87144487,87273698,87374527,87464527,87555454,87575407,87696524,87739917,87829388,87897247,88021447,88097018,88223037,88262071,88589282,88771697,88783207,88853047,88938727,89200807,89243618,89340127,89385271,89559367,89888767,89922462,89949247,90007927,90075967,90177184,90204271,90303271,90368287,90421207,90463327,90479671,90571687,90613807,90616120,90659671,90805779,90836071,90847087,90870271,90876428,90889927,90935071,90935287,91008524,91031162,91042925,91192802,91377952,91672254,92134384,92416110,92595968,92854508,93440642,93543289,93643724,93671982,93754701,93775148,93959945,94013140,94303649,95567001,95742950,95919414,96189512,96396908,96446138,97384442,97659810,98472578,98577184,98620865,98875724,99526124,...,1530223930784338538759441583053829533890161686492662011603097877321921317247131144724161587955260741232275128749497561377571709418319367432814201711772255407410783715458145810983627066815526856596938440607772655921279332502424941891134363893657123075913629375202746583381692246573177925469574773996762650461411684053351164470760807852031782896431206575008884934901271723672805803030447907827813363984821468380873130023210688206086241228338754154777715762192302448898262470800173662479393537065801839187104075989195150203418353223773582560761094369733669120965016688573409796039490976784167432881697590190836027109737348781906296377390109645207692551336925504633414260333851294818899037369010766176867495043759769633915127746969929348709653159468238542038775425023694792111776760183922452097562088727722890038953651891384280138714705300208929579272415455482213995677514625655708196817306484197412373257687222263295576774761278132006525534784909574054968525007543977498512212493749217492529636375740234650759070563653852505764111463692011549109046583826114959811101279530271193764603146947157035050464380017085650551368057254156414599888214844004175233090209767754332601963223877643717830623796061767959515387372616994456822714347775417514814084787744889487420140016268252393448226815037577707094532326480257260697612696100182661316751013132322196291598511644549736595186229317070761980603810463007208225539949085228584930524669433094610563818271841845427734440497470668590660499624623325221639394019057061453231478692740423614854221712884157274399890892045353099207242243375169902196662713855376506572002115464455220767068267588347830421444863120602030989011822345072045904459181495023812489375216737888029796579249239146891695085288961731695534891355782788124338346813464428058825892743784865023593210759285419884305129307471082996613900306985128349911255840068920252600734531334259818248522423975984275843861579743080844299036914490341990066920409613673187023177963794778836754403837638982741684482424347849231360481250658322113246222887720637287476372968100005396356790791271287698175857760251082599386967726227952310825250847396259415344209538696452331959494317091411650488908918270488543267635526361922671924856089436101584226838068915014888381062444996384506036413165255764141978317969516582402781020944776383317237368494495822781174838817583235173031740627780919698542196951646777407945747132476008847880230557533978663493656825492701906940590870289609329300852874849813921532918592289425661472791726202543335958805612976350320847549648774656534544884647691646698304485678199016813448367368162231569451786565929406464266689054697407538724605354170057743023710208278347262357642042854283632607743272113158976603077036201316844817830890666985729033933006829291859187398301891244354937752284571780851218149722305318967931038336395631659397890480851447847918080487964359179091829444749331759881889388615053454467230469008316867196728449669236186942363837046757225041594900429186610130689709826943706203310519486909494989049784470084}
19073   7880278482510039132300233330784109219395274304667609033398890750514789: {19073,76276,1085907,1619335,1943202,2305171,2950735,3467282,3478647,3520735,3540882,3864511,4224882,4953260,5520730,5521143,5607655,5692063,5867708,5943912,6148951,6365335,6489571,6624876,6686901,6729186,7053823,7174687,7638402,8316547,8382440,8445655,8570307,8908023,9430245,9632722,10058928,10076890,10134786,10332655,11003386,11082247,11316294,11616943,11937747,12092268,12141778,12399186,12749671,13898503,14002485,14094655,14200291,14282335,14573767,14811127,14845135,14882242,14935984,15188191,15616983,15950163,16180063,16518908,16669625,16802982,16913586,17092687,17138802,17327827,17612823,17814162,17925487,18574567,18774655,18808556,19134007,19659442,19730431,20003550,20286130,21251667,21337120,21480547,21570655,22092931,22529586,22897047,23598440,23694247,23813750,24004260,24150271,24209463,24343356,24519656,24663298,24893167,25469935,25604544,25884786,26020351,26395735,26504122,26548245,26770903,27149763,27480764,27584613,27833143,28186330,28209356,28318128,28576500,28805112,29167135,29935171,30396243,30481600,30563922,30906344,30992707,30998407,31060706,31263391,31411171,31561330,31561735,31674882,31829864,31857894,31979866,32011383,32405751,32453708,32664655,32838825,33657416,33823596,33885907,33942423,34239802,34263507,34291800,34316335,34616323,34769637,34905027,35000562,35028080,35108791,35394751,35545683,35808597,36330655,36535298,36577920,36630607,37061935,37143543,37171930,37864593,37873596,37874082,38099667,38503423,38519251,38578275,38982866,39016448,39065407,39197586,39406590,39982082,40058887,40162735,40299080,41080162,41150160,41179602,41241367,41392425,41588823,41604031,41924611,42033696,42126898,42220407,42513068,42764530,43596786,43893504,44062351,44107196,44151920,44474322,44606316,44700871,44885443,45184378,45336465,45468451,45522152,45895687,46212067,46239823,46293930,46362440,46457996,46617303,46851727,46929747,47102242,47261743,47280716,47287908,48195282,48358896,48781507,49176104,49240951,49380192,49451890,49670910,50042216,50441431,50563930,50654935,50971863,51212421,51317436,52157745,52647746,52982304,53170341,53297911,53398785,53464556,54241735,54403758,54670647,54677756,55004890,55284087,55323117,55552716,55582316,55608487,55634928,56029135,56297493,56744287,56921335,56956946,56958704,57002947,57117260,57881827,58513231,58946583,59058535,59232044,59342268,59434330,59594863,59605092,59701891,60458467,60676716,60785922,61294447,61990258,62322211,62392471,62589294,62779304,62820823,63010280,63158791,63298025,64078542,64266943,64376335,64552807,64706636,64954930,65090082,65636227,65879427,65971004,66005868,66056890,66669535,67020825,67234962,67543880,67562313,67621843,67725655,68199571,68264067,68305602,68356364,68373266,68540712,68929186,69307135,69658135,69671311,70339287,70350211,70626717,70870242,70886565,71300642,71321196,71488880,71778578,71839207,71850487,71945192,72222645,72855986,72920323,73305943,74032135,74897491,75612336,75802207,75957630,75986865,76014741,76470655,76501443,76797571,77037488,77108301,77239903,77251602,77618146,77664387,77945916,78034135,78111080,78534327,78551647,78621224,78694627,78813842,78905036,79268268,79287538,79289105,79767535,79955708,80003442,80424990,80431325,80556627,80617586,80632735,80938341,81021472,81052656,81071432,81270786,81887468,82313671,82499385,82847587,82854867,83168562,83394655,83589762,83590330,84023503,84079425,84165823,84414343,84854487,84943735,85063878,85139283,85287535,85644122,85786656,85802935,85912951,86255036,86667174,87126807,87176588,87277567,87651727,87860935,87874965,87999344,88027762,88115386,88257783,88448877,88838562,89031730,89571535,89671507,89684720,90316903,90425750,91070103,91107655,91149156,91184238,91205361,91268626,91425667,91764786,91785751,91917703,91959655,92129935,92188983,93640962,93733296,94211756,94419247,94693827,95143651,95146926,95280185,95629196,95673416,95721042,95799031,96077847,96354003,96509988,96517590,96759282,96905667,96911791,97576466,97604402,97726735,97851031,97913827,98064535,98570935,98713797,98999262,99377463,99582655,99731503,99898466,...,2295335896176507808139162374580744300835242529738993017404646815982881975870696717086242381932891111848412693124246342066357564127479051149221302567658383111116175573187218716475440600223290284895407660911658983881918998753637412836701545840485684613870444062804119875072538369859766888204362160995143975692117526080026746706141211778047674344646809862513327402351907585509208704545671861741720045977232202571309695034816032309129361842508131232166573643288453673347393706200260493719090305598702758780656113983792725305127529835660373841141641554600503681447525032860114694059236465176251149322546385286254040664606023172859444566085164467811538827005388256950121390500776942228348556053516149265301242565639654450872691620454894023064479739202357813058163137535542188167665140275883678146343133091584335058430477837076420208072057950313394368908623183223320993516271938483562295225959726296118559886530833394943365162141917198009788302177364361082452787511315966247768318740623826238794454563610351976138605845480778758646167195538017323663569875739172439716651919295406790646904720420735552575696570025628475827052085881234621899832322266006262849635314651631498902944835816465576745935694092651939273081058925491685234071521663126272221127181617334231130210024402378590172340222556366560641798489720385891046419044150273991975126519698483294437397767466824604892779343975606142970905715694510812338309923627842877395787004149641915845727407762768141601660746206002885990749436934987832459091028585592179847218039110635422281332569326235911599836338068029648810863365062754853294994070783064759858003173196682831150602401382521745632167294680903046483517733517608068856688772242535718734062825106832044694868873858720337542627933442597543302337033674182186507520220196642088238839115677297535389816138928129826457693961206624494920850460477692524866883760103380378901101797001389727372783635963976413765792369614621266448555371735512985100380614420509780534766945692168255131605756458474112526723636521773847040721875987483169869334331580955931214559452150008094535186186906931547263786640376623899080451589341928466237876271094389123016314308044678497939241475637117475733363377405732814901453289542884007887284134154152376340257103372522332571593667494576759054619747883646212967476954274873604171531417164574975856052741743734171762258226374852759547610941671379547813295427470166111918620698714013271820345836300967995240485238239052860410886305434413993951279312274720882299377888434138492209187589303815003938208419464525481271324473161984801817326971537470047456728517298525220172551052243347354177679848894109696400033582046111308086908031255086614535565312417520893536463064281425448911614908169738464904615554301975267226746336000478593550899510243937788781097452836866532406628426857671276827224583457978451896557504593447489096835721277171771877120731946538768637744167123997639822834082922580181700845703512475300795092674503854280413545755570135837562392350643779915196034564740415559304965779230364242483574676705126}
19074   7911609132448647362696786565399475200513707600209572248533618154211982: {95345,114414,438173,704369,818333,1159793,1387073,1447876,1560542,1916273,2243534,2406269,2590936,2698142,2914803,2969969,3082493,4284734,4638196,4721176,5095613,5200923,5206769,5280833,5311323,5633176,5945969,6191575,6203933,6337323,6539054,6975473,7158653,7334635,7361524,7429890,7925216,8281095,8507969,8778974,8801562,8833168,8915868,8972248,9051869,9124253,9666113,9937314,10093779,10116014,10184536,10313969,10478050,10565213,10959233,11316593,11387969,11427076,11457603,11637533,11815553,11877364,11922269,12170993,12383873,12454769,12573660,13068986,13215614,13411904,13435934,13443953,13513048,13936193,14146673,14391869,14449083,14974142,14985713,15020573,15088392,15115335,15202179,15611969,15716093,15916996,16062653,16123024,16505079,16532248,16974441,17063153,17166269,17269313,17680769,17812094,18022769,18138402,18212667,18295793,18598779,18602333,18636353,18669980,19111793,19551869,19653233,19720769,19822013,20057969,20629373,20648635,20662913,20822644,20830493,20964413,21056414,21266884,21332033,21454699,21831773,22064369,22323363,22403976,22551448,22825853,22851736,22957853,23483764,23510695,23550269,23752216,24107393,24205469,24268334,24778362,25204473,25370379,25506269,25570973,25708203,25756142,26248433,26391614,26671400,26721243,26730173,27043051,27236894,27688253,27851131,27869342,27910769,28069469,28212834,28335556,28859969,29450239,29488769,29489163,29498050,29895773,29968142,30005325,30039448,30051953,30176753,30270269,30363713,30429195,30529396,30594974,30649570,30829853,32005680,32052542,32125469,32186813,32279284,32457808,32737469,33406973,33709694,33794379,34102769,34122542,34139392,34350955,34513048,34534814,34554269,34944113,35093693,35261695,35362433,35389783,35397660,35451869,35562974,35720625,35808893,36006390,36105533,36194369,36199684,36283133,36430913,36515034,36587534,36779484,36994947,37166813,37200542,37751933,37757504,37868573,38102000,38391869,38406816,38632930,38739293,38827179,39056753,39234542,39602813,39746033,39756183,39774653,39787330,39831883,40259969,40345373,40528324,40567135,40601153,40751896,40969469,41221146,41254142,41656334,41730113,42071770,42233176,42258542,42279495,42314034,42477192,42681844,42735233,42864750,43029091,43123313,43207668,43482269,43619969,43702493,43785100,43786939,44114033,44360093,44387393,44768753,45098128,45256564,45580673,45646574,45684676,45722400,45844574,45845883,46144733,46251773,46331969,46359516,46540036,46591059,46667416,46731869,47341995,47394244,47512323,47736893,47744796,47786841,47842013,47969799,48235073,48365693,48680562,48756353,48770560,49093469,49300253,49524724,49838866,49994369,50373850,50377469,50486124,50498128,50498776,50631869,50735394,50799556,51359703,51437700,51440573,51515969,51691613,51707227,52066673,52141469,52216193,52263448,52490894,52500843,52542120,52588733,52638269,52683854,53141335,53181053,53377469,53450993,53695553,54109469,54400253,54414014,54676063,54802947,54866880,54906136,54906353,54931891,55074269,55133995,55189900,55370174,55451764,55480433,55757895,55789469,55860593,55942142,55978973,56044928,56073533,56293876,56567873,56778653,56810394,56811123,56848769,56895473,56902690,57592193,57661469,57953050,58006769,58072495,58075613,58129048,58418753,58474299,58524672,58578269,58796379,58964033,59100895,59109885,59299096,59475088,59661533,59722142,59890402,59929469,59973123,60307073,60439793,60448620,60528113,60923969,61295453,61470130,61620243,61686269,61725240,61769403,62156404,62224769,62552770,62572996,62800733,62927933,62952043,63033713,63050544,63118193,63190347,63769602,63810269,63914369,64121969,64146795,64260376,64473053,64478528,64780913,64917374,64985153,65046269,65391233,65395179,65411453,65650334,65713793,65753969,65814173,65840256,66160794,66227880,66711483,66745454,66830695,66909474,66944369,67003133,67081373,67198493,67295873,67407802,67472654,67654094,67776567,67875953,67962484,68048573,68283228,68347195,68423248,68448833,68793571,68807933,69238769,69440895,69460574,69477895,69543660,69686994,69739133,70069469,70251869,70306433,70397213,70578173,70643072,70653363,70893788,70921074,70931862,70937503,71062769,71198380,71329469,71396575,71734913,71857469,71892413,72118769,72143294,72292923,72429953,72498542,72538344,72894196,73196573,73431773,73682033,73712116,73731869,73764156,73781633,74040055,74070288,74177153,74177835,74179904,74470769,74506365,74519453,74713469,74826113,75063324,75494894,75634973,75845895,75868913,75899969,76178033,76514369,76559933,76861853,76976154,76999426,77041469,77411534,77411969,77704769,77748413,77893373,77922269,78109313,78309233,78474130,78521693,78595444,78704369,78762850,78913469,78955073,78971619,79079453,79123024,79148273,79285313,79367153,79473456,79482542,79489373,79570493,79958513,79997054,80196834,80339342,80547293,80585969,80681054,80816513,80867393,80883295,80902288,81047896,81192542,81244913,81282269,81566273,81605637,81676253,81858113,82014269,82016634,82109693,82157213,82192769,82463755,82507335,82544369,82636913,82682993,82751873,82911473,83329074,83373474,83424833,83452392,83588573,83642753,83714239,83804093,83846813,84058493,84066494,84089969,84318593,84349469,84400769,84429850,84523073,85030013,85070894,85117313,85261373,85384769,85404542,85431869,85435419,85438056,85445455,85525469,85544093,85675890,85691933,85710269,85737713,85936769,86087933,86236142,86357633,86459969,86627969,86710769,86727233,86751869,86786776,86898173,86994269,87112769,87136253,87167453,87214013,87229469,87504538,87509633,87546653,87663773,87771713,87785969,87839236,87995969,88007824,88016573,88198769,88277873,88643969,88709342,88834433,88848066,88851869,88892273,88937969,89013402,89088413,89142653,89151495,89222513,89264369,89279933,89361100,89406833,89407638,89576093,89631869,89646616,89713373,89757533,89766269,89796593,89809469,89852414,89931490,89966333,90025073,90070769,90083084,90151553,90162269,90304733,90314369,90320753,90339713,90352193,90415613,90421469,90441713,90455933,90500093,90539633,90577373,90589553,90599153,90624893,90634013,90673469,90679793,90733469,90791153,90805373,90821873,90831869,90842813,90866753,90875969,90889853,90894833,90915953,90928769,90934769,90938993,90943133,90948593,90950273,91015074,91018756,91074136,91178883,91387616,91634414,91641823,92278094,92528722,92744911,92985387,93239294,93785716,93828091,93883941,94168956,94493656,94515420,94893883,95094928,95619614,96117813,96296860,96405854,96719342,97059954,97432395,97635123,97638850,98276530,98631295,98903827,98956506,99008802,99085335,99944635,...,3443003844264761712208743561871116451252863794608489526106970223974322963806045075629363572899336667772619039686369513099536346191218576723831953851487574666674263359780828074713160900334935427343111491367488475822878498130456119255052318760728526920805666094206179812608807554789650332306543241492715963538176289120040120059211817667071511516970214793769991103527861378263813056818507792612580068965848303856964542552224048463694042763762196848249860464932680510021090559300390740578635458398054138170984170975689087957691294753490560761712462331900755522171287549290172041088854697764376723983819577929381060996909034759289166849127746701717308240508082385425182085751165413342522834080274223897951863848459481676309037430682341034596719608803536719587244706303313282251497710413825517219514699637376502587645716755614630312108086925470091553362934774834981490274407907725343442838939589444177839829796250092415047743212875797014682453266046541623679181266973949371652478110935739358191681845415527964207908768221168137969250793307025985495354813608758659574977878943110185970357080631103328863544855038442713740578128821851932849748483399009394274452971977447248354417253724698365118903541138977908909621588388237527851107282494689408331690772426001346695315036603567885258510333834549840962697734580578836569628566225410987962689779547724941656096651200236907339169015963409214456358573541766218507464885441764316093680506224462873768591111644152212402491119309004328986124155402481748688636542878388269770827058665953133421998853989353867399754507102044473216295047594132279942491106174597139787004759795024246725903602073782618448250942021354569725276600276412103285033158363803578101094237660248067042303310788080506313941900163896314953505550511273279761280330294963132358258673515946303084724208392194739686540941809936742381275690716538787300325640155070568351652695502084591059175453945964620648688554421931899672833057603269477650570921630764670802150418538252382697408634687711168790085454782660770561082813981224754804001497371433896821839178225012141802779280360397320895679960564935848620677384012892699356814406641583684524471462067017746908862213455676213600045066108599222352179934314326011830926201231228564510385655058783498857390501241865138581929621825469319451215431412310406257297125746862463784079112615601257643387339562279139321416412507069321719943141205249167877931048071019907730518754451451992860727857358579290616329458151620990926918968412081323449066832651207738313781383955722505907312629196788221906986709742977202725990457306205071185092775947787830258826578365021031266519773341164544600050373069166962130362046882629921803347968626281340304694596422138173367422362254607697356923331452962900840119504000717890326349265365906683171646179255299798609942640286506915240836875186967677844836256890171233645253581915757657815681097919808152956616250685996459734251124383870272551268555268712951192639011755781420620318633355203756343588525965669872794051847110623338957448668845546363725362015057689}
19075   7943063452377218707743715326521097604529381932460346804358612804750932: {38146,152552,171621,1809845,2171814,2267069,2340813,2724293,3238670,3365301,3886404,4047213,4131029,4610342,4929029,5797745,5901470,6427101,6872357,6934564,6957294,7041470,7081764,7669493,7729022,7850717,8449764,8911469,9201905,9808581,9906520,11041460,11042286,11144835,11215310,11384126,11735416,11823917,11887824,12297902,12730670,12979142,13097201,13168461,13202343,13249752,13373802,13458372,14107646,14283845,14349374,14465717,14846705,14905971,15067793,15174021,15276804,15533621,15717075,16633094,16764880,16891310,16975037,17140614,17816046,18271493,18799901,18860490,19265444,19603479,19732517,19823421,19896245,19995269,20117856,20153780,20153901,20269572,20396657,20478341,20665310,20783189,21951761,22006772,22164494,22461213,22632588,23233886,23337475,23875494,24184536,24283556,24798372,25328333,25386101,25488797,25499342,26012369,26028305,26284517,26583605,26718141,27207603,27797006,28004970,28189310,28400582,28564670,29147534,29354705,29622254,29690270,29764484,29871968,29920421,30198917,30376382,31233966,31414493,31584621,31865741,31900326,32360126,33037816,33339250,33605964,33827172,34185374,34277604,34473941,34655654,34941437,35225646,35419445,35628324,35657909,35850974,36402501,36634481,36876197,36954029,37122293,37149134,37167543,37549310,37617112,38161745,38268014,38634213,39239237,39318884,39460862,39587421,40007100,40046981,40165841,40349105,40572260,40833989,40855341,41431157,41759573,41804013,42319251,42503334,42674240,42961094,43141310,43253141,44185862,44186429,44247075,44705597,44952213,45059172,45249605,45730517,45794094,45892461,45974355,47196880,47342321,47388494,47451473,47627500,48008520,48042869,48078813,48134501,48300542,48418926,48686712,49039312,49246157,49326596,49786334,49959797,50564541,50660405,50862917,50939870,51183813,51209088,51769572,51802221,51886709,52040702,52791470,53008244,53096490,53344461,53352305,53541806,54009585,54299526,54614261,54731375,54772551,54881301,54961528,55169226,55417157,55666286,55800813,56021933,56227829,56372660,56375717,56418712,56570705,56636256,56973629,57105845,57153000,57243989,57610224,57949395,58175045,58334270,58851813,59242805,59512301,59680995,59870342,60464861,60792486,60963200,61127844,61812688,61831719,61881213,61905905,61985414,61996814,62121412,62484501,62526782,62822342,63107655,63122660,63123470,63342389,63349764,63387813,63471051,63499445,63659728,63715788,63799997,63959732,64022766,64297125,64811502,64907416,65329310,65677650,65719121,67314832,67647192,67771814,67884846,68469861,68479604,68527014,68583600,68632670,68766861,68987375,69232646,69314705,69539274,69678677,69810054,70001124,70056160,70217582,70367345,70589237,70789502,70916909,71091366,71617194,72661310,73020843,73070596,73155840,73261214,74123870,74287086,74343860,74476229,74758299,75560775,75729186,75747192,75748164,75938429,76103091,76199334,76289681,76689173,76805693,77006846,77038502,77156550,77436389,77695505,77965732,78032896,78130814,78216245,78395172,78440789,78736341,78813180,79025781,79689869,79964164,80117774,80325470,80598160,80599493,81621021,82160324,82300320,82359204,82482734,82681949,82784850,83055261,83177646,83208062,83715101,83849222,83913213,84067392,84253796,84440814,84900881,84953105,85026136,85215591,85354035,85529060,86551709,86929575,87193572,87787008,88124702,88214392,88303840,88617235,88862789,88948644,88997975,89212632,89401742,89583213,89770886,89835603,90126869,90368756,90672930,90936902,91044304,91117745,91791374,91927421,92140145,92205195,92424134,92479646,92587860,92724880,92915992,93002741,93234606,93337349,93703454,93829155,93859494,93908621,94204484,94523486,94561432,94575816,94815917,95654403,96020357,96390564,96717792,96922037,97029989,97197557,97279793,97376061,97521389,97563014,98244305,98352208,98475501,98481902,98760384,98903780,99241191,99341820,...,4590671792353015616278324749161488601670485059477986034809293631965763951741393434172484763865782223696825386248492684132715128254958102298442605135316766222232351146374437432950881200446580569790815321823317967763837997507274825673403091680971369227740888125608239750145076739719533776408724321990287951384235052160053493412282423556095348689293619725026654804703815171018417409091343723483440091954464405142619390069632064618258723685016262464333147286576907346694787412400520987438180611197405517561312227967585450610255059671320747682283283109201007362895050065720229388118472930352502298645092770572508081329212046345718889132170328935623077654010776513900242781001553884456697112107032298530602485131279308901745383240909788046128959478404715626116326275071084376335330280551767356292686266183168670116860955674152840416144115900626788737817246366446641987032543876967124590451919452592237119773061666789886730324283834396019576604354728722164905575022631932495536637481247652477588909127220703952277211690961557517292334391076034647327139751478344879433303838590813581293809440841471105151393140051256951654104171762469243799664644532012525699270629303262997805889671632931153491871388185303878546162117850983370468143043326252544442254363234668462260420048804757180344680445112733121283596979440771782092838088300547983950253039396966588874795534933649209785558687951212285941811431389021624676619847255685754791574008299283831691454815525536283203321492412005771981498873869975664918182057171184359694436078221270844562665138652471823199672676136059297621726730125509706589988141566129519716006346393365662301204802765043491264334589361806092967035467035216137713377544485071437468125650213664089389737747717440675085255866885195086604674067348364373015040440393284176477678231354595070779632277856259652915387922413248989841700920955385049733767520206760757802203594002779454745567271927952827531584739229242532897110743471025970200761228841019561069533891384336510263211512916948225053447273043547694081443751974966339738668663161911862429118904300016189070372373813863094527573280753247798160903178683856932475752542188778246032628616089356995878482951274234951466726754811465629802906579085768015774568268308304752680514206745044665143187334989153518109239495767292425934953908549747208343062834329149951712105483487468343524516452749705519095221883342759095626590854940332223837241397428026543640691672601935990480970476478105720821772610868827987902558624549441764598755776868276984418375178607630007876416838929050962542648946323969603634653943074940094913457034597050440345102104486694708355359697788219392800067164092222616173816062510173229071130624835041787072926128562850897823229816339476929809231108603950534453492672000957187101799020487875577562194905673733064813256853715342553654449166915956903793115009186894978193671442554343543754241463893077537275488334247995279645668165845160363401691407024950601590185349007708560827091511140271675124784701287559830392069129480831118609931558460728484967149353410252}
19076   7974641926940158605996668979853345507450229981809744549115078090884238: {57219,133483,190690,228828,876346,1273603,1408738,1636666,1840963,1954219,2319586,2774146,2895752,2970283,3082819,3121084,3257721,3832546,4487068,4812538,4858005,5181872,5318419,5396284,5829606,5939938,6164986,6915513,7415563,8181643,8569468,8668205,8852205,9276392,9442352,9703219,10191226,10268489,10401846,10413538,10435941,10561666,10562205,10622646,11266352,11424883,11593533,11852419,11891938,12383150,12407866,12674646,13022203,13078108,13801825,13950946,14078083,14317306,14393443,14669270,14723048,14859780,15022219,15544219,15648403,15850432,15960523,16479283,16562190,16563429,16822965,17015938,17076189,17557948,17603124,17666336,17831736,17944496,18103738,18248506,18446853,18638419,19096005,19147819,19332226,19468713,19554043,19874628,20060203,20060703,20187558,20232028,20369072,20627938,20665219,20956100,21130426,21161469,21524061,21667819,21918466,22066843,22265923,22633186,22775938,22854152,22915206,23275066,23552923,23631106,23754728,23844538,24081805,24341986,24767746,24909538,24949641,25147320,25192225,25336965,25606219,25710921,26137972,26431228,26724069,26823808,26871868,26887906,27026096,27436603,27508465,27627763,27872386,28104403,28290735,28293346,28389523,28783738,28863283,28898166,28908089,29429419,29523523,29948284,29971426,30041146,30176784,30230670,30354445,30404358,30460603,30740323,30833419,30997965,31223938,31432186,31833992,32125306,32129203,32221219,32246048,32914973,33010158,33064496,33246741,33948882,34126306,34136923,34332538,34538626,34588363,34850829,35361538,35396419,35485843,35624188,35813241,35842819,36045538,36276804,36425334,36591586,37197558,37204666,37205605,37272706,37339960,38223586,38249013,39103738,39159109,39262963,39306466,39441538,39644026,39693523,39779419,40115938,41059219,41258746,41297270,41325826,41482219,41645288,41660986,41695509,41824289,41928826,42007455,42112828,42239083,42283965,42533768,42600873,42664066,42847005,42909398,43652803,43663546,43721301,44128738,44310883,44392819,44433381,44535405,44646726,44807952,45102896,45564573,45613219,45651706,45703472,45915706,46737643,46850949,46967528,47021390,47100538,47504432,47850489,48091337,48214786,48410938,48476083,48536668,48540189,49148605,49366373,49556724,50008875,50332819,50408946,50409283,50638243,50715325,50740758,51012538,51018403,51141946,51278061,51416406,51472219,51512284,51547603,51983481,52496866,52595419,52783228,52838469,52963273,53342800,53442486,53460346,53702419,53776461,53994883,54086102,54140683,54473788,54721003,55376506,55511419,55702262,55723701,55738684,55821538,56138938,56151643,56323965,56425668,56671112,56793989,57205723,57402021,57692083,57719938,58900478,58926523,58977538,58978326,58996100,59062243,59191293,59534375,59791546,59936284,60010650,60078896,60103906,60337219,60353506,60499549,60540538,60727426,60858390,61058792,61108541,61189948,61299140,61325419,61658245,61659706,61716163,61975219,63505363,63755001,63943843,64011360,64105084,64192819,64250938,64373626,64441641,64558568,64711965,64810219,64915616,65055163,65420419,65474938,65722819,65783083,66260305,66278793,66559963,66813946,66973243,67149283,67419388,67588758,67846963,68205538,68245084,68278784,68363419,68691141,68701910,69026096,69069628,69108538,69490219,69767419,69888226,70097683,70187386,70316419,70465825,70523390,70724866,70779566,70795320,70903738,71072923,71082741,71125948,71392819,71441250,71617786,72012780,72129163,72211066,72388738,72399368,72450813,72566266,72628389,72861826,73030068,73175068,73408963,73558968,73908283,73989894,74204419,74253523,74333626,74397869,74401084,74497963,74679501,75172819,75503866,75515008,75737146,75926803,76204000,76409805,76525843,76616923,76783738,76813632,76843363,77187593,77201923,77265860,77423683,77478586,77651765,77654358,78061053,78113506,78469084,78758419,78903325,78925603,78967219,79187205,79205626,79492066,79512366,79549306,79574660,79644735,79663766,79949665,80142763,80312709,80339323,80519938,80690746,80727043,80956219,80994163,81056648,81134270,81202306,81301493,81449289,81503792,81919363,81938938,82442292,82452883,82508284,82741253,82753839,82936219,83105419,83312668,83460226,83499429,83602219,84143540,84363403,84466352,84517084,84558990,84628068,84668323,84728443,84877483,84954384,85363688,85470466,85567819,85599505,85678843,85706419,85729500,85951363,86058182,86111419,86246626,86415336,86651203,86775043,86964538,87017323,87112219,87239938,87367243,87404986,87501405,87570200,87573878,87679219,87808603,87914443,88221163,88228066,88378123,88492819,88586419,88660003,88720186,88774786,88873843,89093803,89207203,89408443,89537506,89569219,89653243,89721283,89805513,90022819,90091723,90136219,90179563,90196256,90232123,90282883,90302683,90433219,90513128,90691483,90751603,90784219,90789403,90804523,90933043,90935419,90953563,90962419,90967819,91161346,91188729,91293148,91338245,91369352,91444800,91689148,91691766,92289466,92503546,92663938,92719032,92929825,92978121,92995221,93080072,93182118,93334832,93463738,93562973,93790173,94233513,94323493,94683990,94685205,94788488,95024646,95473786,95489592,95573682,95684026,95686073,95939598,96034149,96470146,96731386,97217253,97269053,97361124,97457165,97512706,97541120,97993965,98186938,98516475,98600506,99049448,99677732,99955205,99988738,...,6886007688529523424417487123742232902505727589216979052213940447948645927612090151258727145798673335545238079372739026199072692382437153447663907702975149333348526719561656149426321800669870854686222982734976951645756996260912238510104637521457053841611332188412359625217615109579300664613086482985431927076352578240080240118423635334143023033940429587539982207055722756527626113637015585225160137931696607713929085104448096927388085527524393696499720929865361020042181118600781481157270916796108276341968341951378175915382589506981121523424924663801511044342575098580344082177709395528753447967639155858762121993818069518578333698255493403434616481016164770850364171502330826685045668160548447795903727696918963352618074861364682069193439217607073439174489412606626564502995420827651034439029399274753005175291433511229260624216173850940183106725869549669962980548815815450686885677879178888355679659592500184830095486425751594029364906532093083247358362533947898743304956221871478716383363690831055928415817536442336275938501586614051970990709627217517319149955757886220371940714161262206657727089710076885427481156257643703865699496966798018788548905943954894496708834507449396730237807082277955817819243176776475055702214564989378816663381544852002693390630073207135770517020667669099681925395469161157673139257132450821975925379559095449883312193302400473814678338031926818428912717147083532437014929770883528632187361012448925747537182223288304424804982238618008657972248310804963497377273085756776539541654117331906266843997707978707734799509014204088946432590095188264559884982212349194279574009519590048493451807204147565236896501884042709139450553200552824206570066316727607156202188475320496134084606621576161012627883800327792629907011101022546559522560660589926264716517347031892606169448416784389479373081883619873484762551381433077574600651280310141136703305391004169182118350907891929241297377108843863799345666115206538955301141843261529341604300837076504765394817269375422337580170909565321541122165627962449509608002994742867793643678356450024283605558560720794641791359921129871697241354768025785398713628813283167369048942924134035493817724426911352427200090132217198444704359868628652023661852402462457129020771310117566997714781002483730277163859243650938638902430862824620812514594251493724927568158225231202515286774679124558278642832825014138643439886282410498335755862096142039815461037508902903985721455714717158581232658916303241981853837936824162646898133665302415476627562767911445011814625258393576443813973419485954405451980914612410142370185551895575660517653156730042062533039546682329089200100746138333924260724093765259843606695937252562680609389192844276346734844724509215394713846662905925801680239008001435780652698530731813366343292358510599597219885280573013830481673750373935355689672513780342467290507163831515315631362195839616305913232501371992919468502248767740545102537110537425902385278023511562841240637266710407512687177051931339745588103694221246677914897337691092727450724030115378}
19077   8006345042667444179630391606742223397659682336788539484344097316922891: {76292,286035,305104,343242,1314519,2113107,2454999,2533783,3219619,3479379,3619690,3901355,4161219,4343628,4534138,4681626,5448586,5608835,5748819,6072803,6477340,6730602,6745355,7218807,7443467,7772808,8094426,8116843,8262058,8744409,8909907,9220684,9247479,9382283,9858058,10067399,10711835,11084579,11595490,11802940,12854202,12882667,13744714,13869128,13914588,14082940,14163528,15191387,15286839,15338986,15458044,15602769,15620307,15701434,15842499,15933969,16347635,16899528,17822938,17837907,17929259,18403810,18574725,18611799,19011969,19058003,19617162,19813040,19997383,20785387,20926419,21475959,21803323,21947435,22003905,22082920,22084572,22289670,22314743,22430620,22768252,23162219,23470832,23647834,23775648,24595804,24843285,25290035,25461340,25523907,25898363,25958284,26194402,26195125,26336922,26404686,26499504,26747604,26916744,27155607,27372759,27854743,28215292,28487479,28567690,28698748,28931434,28998339,29693410,29811942,30135586,30281337,30348042,30553608,30941907,31004963,31067242,31434150,31695639,32552603,32672465,32877699,33039035,33266188,33529760,33589835,33782620,33949779,33950074,34163907,34281228,34372809,34717463,34912599,35446659,35632092,35766807,36397187,36439627,36512979,36542986,37126219,37151619,37217047,37364307,37435355,37599802,37720980,38530888,39206958,39419383,39465034,39646842,39792490,39990538,40235712,40307560,40307802,40331859,40539144,40793314,40889123,40956682,41096587,41330620,41566378,41808579,42440019,42835603,42935899,43175607,43347249,43903522,44013544,44328988,44530235,44922426,44957139,45061719,45265176,45346005,45606537,46467772,46628567,46674950,46835907,47034067,47040983,47148279,47750988,47901563,48187959,48369072,48567112,48933179,49515237,49587223,49596744,49766179,49965079,50656666,50772202,50923323,50977594,50998684,51189459,51498807,51807939,52024738,52056610,52569034,52641035,53042307,53167210,53426443,53436282,54068307,54397079,54415206,54638001,54887379,55495763,55594012,55620323,55796337,55806999,55909059,56009940,56378620,56488747,56801164,57129340,57335379,58295068,58655607,58709410,58959699,59162307,59244508,59380540,59466039,59528968,59607467,59743936,59840842,60173907,60397834,60505379,60670835,60752764,61267643,61888119,61945905,61988739,62467932,62491479,62828986,62893239,63169242,63266183,63349447,63731482,63800652,63996099,64364097,64390355,64720252,65377763,65495319,65979035,65996279,66075632,66193107,66207739,66678500,66970089,67211928,67651987,67654344,68092235,68370748,68477559,68555208,68873559,68947882,69137603,69311308,69673355,69882874,70451292,70532085,70650807,70838890,70924567,71256648,71305879,71315818,71450423,71701948,71865683,72322179,72616407,72662579,72805002,73268962,73745125,73752394,73908058,73912247,74244586,74298268,74335086,74484103,74693227,74859187,74920355,75098620,75133403,75234224,75613419,76111137,76323490,76487435,76518807,76536028,76623925,76712919,77124609,77268426,78478474,78637768,78745299,78921724,79174842,79198987,79368983,79948183,80014200,80093962,80131355,80163729,80190519,80331682,80698210,81129153,81144520,81445063,81662579,81667978,81710682,82150307,82862314,82939927,83064759,83519146,83553393,83608026,83732307,84041387,84208407,84274235,84638502,85006668,85306355,85348480,85922188,86282620,86337035,86506282,86579907,86668267,88350717,88371724,88372858,88466307,88467489,88494150,88872187,88899223,88907435,89411194,89687319,89904426,90015975,90118344,90155859,90499210,90530259,90632659,90810807,91091139,91287585,91461034,91468835,91588188,91784922,91948710,91949363,92489559,93001355,94393760,94684642,94776988,94902946,95255000,96017040,96085738,96157626,96269002,96376407,96560439,96582325,96601084,96734263,96837852,97040587,97373424,97934903,97948979,98078624,98086355,98212407,98492314,98514283,98653192,99125963,99468325,99572668,99919594,...,10329011532794285136626230685613349353758591383825468578320910671922968891418135226888090718698010003317857119059108539298609038573655730171495861554462724000022790079342484224139482701004806282029334474102465427468635494391368357765156956282185580762416998282618539437826422664368950996919629724478147890614528867360120360177635453001214534550910644381309973310583584134791439170455523377837740206897544911570893627656672145391082128291286590544749581394798041530063271677901172221735906375194162414512952512927067263873073884260471682285137386995702266566513862647870516123266564093293130171951458733788143182990727104277867500547383240105151924721524247156275546257253496240027568502240822671693855591545378445028927112292047023103790158826410610158761734118909939846754493131241476551658544098912129507762937150266843890936324260776410274660088804324504944470823223723176030328516818768332533519489388750277245143229638627391044047359798139624871037543800921848114957434332807218074575045536246583892623726304663504413907752379921077956486064440826275978724933636829330557911071241893309986590634565115328141221734386465555798549245450197028182823358915932341745063251761174095095356710623416933726728864765164712583553321847484068224995072317278004040085945109810703655775531001503649522888093203741736509708885698676232963888069338643174824968289953600710722017507047890227643369075720625298655522394656325292948281041518673388621305773334932456637207473357927012986958372466207445246065909628635164809312481175997859400265996561968061602199263521306133419648885142782396839827473318523791419361014279385072740177710806221347855344752826064063709175829800829236309855099475091410734303282712980744201126909932364241518941825700491688944860516651533819839283840990884889397074776020547838909254172625176584219059622825429810227143827072149616361900976920465211705054958086506253773177526361837893861946065663265795699018499172809808432951712764892294012406451255614757148092225904063133506370256364347982311683248441943674264412004492114301690465517534675036425408337841081191962687039881694807545862032152038678098070443219924751053573414386201053240726586640367028640800135198325797667056539802942978035492778603693685693531156965176350496572171503725595415745788865476407958353646294236931218771891377240587391352237337846803772930162018686837417964249237521207965159829423615747503633793144213059723191556263354355978582183572075737871848988374454862972780756905236243970347200497953623214941344151867167517721937887590364665720960129228931608177971371918615213555278327843363490776479735095063093799559320023493633800151119207500886391086140647889765410043905878844020914083789266414520102267086763823092070769994358888702520358512002153670979047796097720049514938537765899395829827920859520745722510625560903033534508770670513700935760745747272973447043293759424458869848752057989379202753373151610817653805665806138853577917035267344261860955900065611269030765577897009618382155541331870016872346006536639091176086045173067}
19078   8038173287981907413730720780868305385373771577965562796029542653463561: {95365,114438,266966,381380,457656,514863,780517,894457,1752692,2482057,2547206,2817476,3158137,3273332,3382921,3681926,3908438,4502521,4639172,5281957,5429535,5548292,5791504,5940566,6165638,6242168,6499657,6515442,6720121,6801207,7022439,7665092,8096675,8172879,8582437,8974136,9126217,9625076,9716010,10095903,10316197,10363744,10636838,10792568,11390437,11525855,11659212,11879876,12135487,12141639,12329972,12393087,12457477,13831026,14753675,14779621,14787087,14831126,14988997,15093577,16135417,16363286,16860421,17138936,17170057,17336410,17393235,17603675,17704410,18402121,18552784,18606457,18884704,19281303,19322555,19406438,19623817,19725157,20382452,20536978,20617071,20803692,20827076,20871882,21123332,21124410,21236617,21245292,22532704,22849766,22930021,23008479,23187066,23552151,23704838,23783876,24766300,24815732,24895621,25349292,25576777,26044406,26061157,26156216,26350921,26734407,27312121,27603650,27605715,27901892,27980677,28038275,28075897,28156166,28460315,28634612,28786886,29338540,29425743,29446096,29719560,30044438,30744755,30899017,31088438,31296806,31700864,31825657,31826675,31921046,32194297,32447855,32470021,32958566,33124380,33126858,33434505,33645930,33714527,33838921,34031876,34152378,35115896,35206248,35269115,35332672,35471751,35638921,35663472,35873435,35888992,36207476,36262117,36497012,36893706,37234297,37276838,38110537,38192010,38295638,38511851,38664452,38937426,39108086,39291603,39505383,39607029,39749256,40120406,40121406,40269637,40375116,40464056,40696057,40738144,40866121,41255876,41330438,41582735,41880457,41912200,42132421,42228275,42260852,42322938,42496223,42717817,42851535,43048122,43335638,43397151,43630597,43766063,43836932,44133686,44531846,44540115,44616421,44717913,45203379,45266372,45267877,45522063,45551876,45708304,45830412,46278947,46396837,46550132,46600863,47105846,47151225,47262212,47432521,47509456,47689076,48163610,48377737,48683972,49535492,49776121,49819076,49899282,50294640,50384450,50673930,50695417,50925111,51212438,51421842,51663275,52087847,52275944,52428421,52651657,52862456,53391097,53448138,53647616,53743736,53775812,53904421,54052192,54814479,54848377,54873206,55016930,55255526,55411235,55494757,55744772,55922437,56208806,56399703,56581470,56586692,56629477,56779046,56910277,57120121,57567476,57726566,57796332,57814921,57816178,58084715,58639177,58810437,58858838,59047046,59197551,59385637,59470263,59520421,59688735,59722057,59896568,59942852,59985807,60082292,60323077,60353568,60461340,60461703,60708890,60808716,60921206,61189971,61435023,61480646,61666838,61702777,61832521,61995930,62349567,62447876,62592959,62604937,62864372,63667984,63748355,63931717,64250612,64258406,64442438,64492096,64675621,64798597,65104777,65165797,65772037,65829946,65855283,66020316,66128992,66493482,67383639,67489417,67617143,67897764,68067577,68252612,68273846,68665076,68808047,69077252,69176726,69202297,69492515,69648121,69701658,70012425,70473275,70580197,70723076,70792838,70971686,71001455,71118757,71248376,71411675,71499467,71626482,71685638,71702857,71913097,72091076,72485317,72553608,72844921,72850668,72868835,72997957,73183172,73703557,73753417,73852921,74055635,74225675,74395116,74409332,74411210,74545412,74679920,74687077,75405817,75922597,75940955,75984999,76158303,76338937,76447172,76466391,76498026,76567717,77376421,77464837,77945977,78037107,78084915,78207476,78318218,78525926,78612932,78672421,78853551,78883076,79288052,79387046,79558838,79750815,80154423,80220997,80231876,80299621,80417017,80900315,81070021,81622809,82064377,82118438,82242757,82348921,82517492,82594540,82651652,82938277,82964438,83290576,83321972,83348125,83391018,83637577,83648578,83857652,84014910,84117637,84225656,84336121,84397897,84428677,84478166,84567930,85067536,85087621,85201746,85289977,85328132,85463435,85572937,85694010,85739257,85818796,86321543,86639135,86657797,86757157,86830921,86952421,87072121,87190021,87259897,87305606,87327092,87442602,87709177,87816997,88027237,88064115,88257476,88309477,88329097,88368121,88621766,88651621,88785638,88866762,89070810,89250121,89281657,89293452,89449957,89615904,89623621,89627435,89665417,89761263,89800057,90205792,90355717,90365257,90456697,90474121,90491257,90540937,90596751,90700921,90713737,90744517,90830917,90891397,90895177,90902521,90940537,90990217,90992521,91129146,91226438,91303412,91406944,91831412,92764427,92872835,93475286,93701898,93873275,93935056,94042780,94201076,94243479,94753863,95008864,95597223,95670035,95700978,96182674,96429572,96821876,96952166,97073336,97080378,98297210,98652155,98732746,98924639,99113448,...,13772015377059046848834974247484465805011455178433958104427880895897291855224180302517454291597346671090476158745478052398145384764874306895327815405950298666697053439123312298852643601339741709372445965469953903291513992521824477020209275042914107683222664376824719250435230219158601329226172965970863854152705156480160480236847270668286046067880859175079964414111445513055252227274031170450320275863393215427858170208896193854776171055048787392999441859730722040084362237201562962314541833592216552683936683902756351830765179013962243046849849327603022088685150197160688164355418791057506895935278311717524243987636139037156667396510986806869232962032329541700728343004661653370091336321096895591807455393837926705236149722729364138386878435214146878348978825213253129005990841655302068878058798549506010350582867022458521248432347701880366213451739099339925961097631630901373771355758357776711359319185000369660190972851503188058729813064186166494716725067895797486609912443742957432766727381662111856831635072884672551877003173228103941981419254435034638299911515772440743881428322524413315454179420153770854962312515287407731398993933596037577097811887909788993417669014898793460475614164555911635638486353552950111404429129978757633326763089704005386781260146414271541034041335338199363850790938322315346278514264901643951850759118190899766624386604800947629356676063853636857825434294167064874029859541767057264374722024897851495074364446576608849609964477236017315944496621609926994754546171513553079083308234663812533687995415957415469599018028408177892865180190376529119769964424698388559148019039180096986903614408295130473793003768085418278901106401105648413140132633455214312404376950640992268169213243152322025255767600655585259814022202045093119045121321179852529433034694063785212338896833568778958746163767239746969525102762866155149201302560620282273406610782008338364236701815783858482594754217687727598691332230413077910602283686523058683208601674153009530789634538750844675160341819130643082244331255924899019216005989485735587287356712900048567211117121441589283582719842259743394482709536051570797427257626566334738097885848268070987635448853822704854400180264434396889408719737257304047323704804924914258041542620235133995429562004967460554327718487301877277804861725649241625029188502987449855136316450462405030573549358249116557285665650028277286879772564820996671511724192284079630922075017805807971442911429434317162465317832606483963707675873648325293796267330604830953255125535822890023629250516787152887627946838971908810903961829224820284740371103791151321035306313460084125066079093364658178400201492276667848521448187530519687213391874505125361218778385688552693469689449018430789427693325811851603360478016002871561305397061463626732686584717021199194439770561146027660963347500747870711379345027560684934581014327663030631262724391679232611826465002743985838937004497535481090205074221074851804770556047023125682481274533420815025374354103862679491176207388442493355829794675382185454901448060230756}
19079   8070127153206546264519663624106498026389348088449929346006119677688272: {19079,152584,171657,400449,476725,572070,610208,686484,2190865,2629038,3521845,3562537,3820809,4091665,4226214,4909998,5067566,5461897,5522889,5798965,5862657,6439238,6491617,6935365,6958758,7176949,7239380,7745617,7802710,7852369,8319169,8322438,8687256,8910849,9068276,9248457,9363252,9443497,9581365,9773163,10029337,10486081,10897172,11217670,11497638,12031345,12145606,12336841,12954680,13099957,13461204,13490710,14003737,14437614,14574015,14849845,14886934,14996569,15412465,15545616,15955257,16188852,16233686,16524116,16978609,17127109,17488818,17819814,18441368,18494958,18580441,18764566,18803857,19704037,19716116,20134798,20400949,20548729,20746539,21300121,21423670,22169158,22246689,22601701,22731841,22886689,23190980,23605880,24544929,25478065,25708404,25765334,26004615,26033845,26371969,26404165,26556615,26779369,27489428,27684457,27738256,27829176,28165880,28327056,28706149,28824517,29109657,29729845,30382774,30573678,30677972,30726409,30805467,30916088,30957875,31008241,31019665,31205538,31240614,31307823,31402868,31421137,31684998,31686615,31867938,32659297,32695270,33197209,33799056,34274649,34780599,34877365,35406049,35557257,35645876,35675814,35793265,35858518,36219457,36382321,36642229,36673175,36807620,37149450,37223598,38023938,38116006,39066609,39077761,39234324,39626080,39994766,40679209,41029729,41304241,41405475,41570774,41852838,42234249,42297529,42539845,42951918,43180329,43606646,43894870,44007810,44165840,44169144,44579340,44629486,44861240,45066657,45259345,45536504,45621265,45741451,45910201,46254649,46324438,46632657,46941664,46945209,47025769,47276689,47295668,47455441,47500129,47551296,47881569,47906629,48323509,48330565,48544537,49191608,49437849,49686570,49690287,50468895,50580070,50922680,51047814,51228567,51569845,51796726,51916568,52307881,52369129,52388804,52390250,52409497,52612129,52673844,52809372,52826065,52999008,53295157,53495208,53537041,53833488,54311214,54745518,54796165,55340559,55593889,55709486,55915257,56033857,56430584,56582965,56594689,56939845,56974958,57135380,57288015,57397496,57443457,57862868,57996678,58070617,58187665,58223089,58406139,58662129,59077765,59323057,59386820,59611345,59613769,59623884,60180609,60182109,60271172,60477649,60562674,60696084,60854965,61107216,61408201,61883814,61909189,61919365,61995657,62009926,62134484,62273845,62342329,62868300,63391278,63484407,64167697,64287457,64572183,65003457,65048329,65105206,65344930,65733109,65755398,66078070,66200529,66532376,66797769,67059520,67179670,67219765,67323409,67565240,67899558,67900148,68233441,68244289,68327814,68475601,68562456,68745618,69434926,69435817,69680965,69825198,70658769,70733365,70893318,71264184,71418649,71506357,71533614,71862241,71873281,71959345,72245415,72510169,72794374,72879254,73025958,73085972,73697449,74252438,74303238,74434094,74728614,74848923,74870710,74928565,75102865,75141349,75199604,75441960,75495937,75576675,76010895,76230241,76818657,76821937,77061776,77132763,77264629,78059845,78413916,78580465,78838766,78930068,79293684,79331089,79584980,79927441,79981076,80172207,80313265,80315017,80471424,80615120,80615604,80663718,81078288,81536257,81586628,81604729,81778246,81913364,82059457,82193174,82309809,82525395,82661240,82758721,82883289,83132756,83617158,84313209,84441409,84872205,84880038,84939169,85168569,85315765,85450129,85671206,85831345,85871798,85873957,85940389,86346565,86351214,86589849,86694498,86724267,87294481,87807044,88027088,88288257,88358017,88403845,88570569,88657976,89060470,89844852,89914278,90113845,90123438,90146497,90530352,90692010,91063335,91213074,91381809,91478965,91661617,91815049,92220969,92370649,92500257,92935544,92993895,93011665,93181765,93257134,93349900,93671814,93928609,94068134,94081966,94296558,95329129,95501976,95558965,95803126,96375918,96387609,96663657,96738144,97134224,97542697,97759345,97866358,98266165,98469577,98603845,98744919,99030474,99043381,99110065,99174446,99193488,99532358,99740223,99763429,99930158,...,20658023065588570273252461371226698707517182767650937156641821343845937782836270453776181437396020006635714238118217078597218077147311460342991723108925448000045580158684968448278965402009612564058668948204930854937270988782736715530313912564371161524833996565237078875652845328737901993839259448956295781229057734720240720355270906002429069101821288762619946621167168269582878340911046755675480413795089823141787255313344290782164256582573181089499162789596083060126543355802344443471812750388324829025905025854134527746147768520943364570274773991404533133027725295741032246533128186586260343902917467576286365981454208555735001094766480210303849443048494312551092514506992480055137004481645343387711183090756890057854224584094046207580317652821220317523468237819879693508986262482953103317088197824259015525874300533687781872648521552820549320177608649009888941646447446352060657033637536665067038978777500554490286459277254782088094719596279249742075087601843696229914868665614436149150091072493167785247452609327008827815504759842155912972128881652551957449867273658661115822142483786619973181269130230656282443468772931111597098490900394056365646717831864683490126503522348190190713421246833867453457729530329425167106643694968136449990144634556008080171890219621407311551062003007299045776186407483473019417771397352465927776138677286349649936579907201421444035014095780455286738151441250597311044789312650585896562083037346777242611546669864913274414946715854025973916744932414890492131819257270329618624962351995718800531993123936123204398527042612266839297770285564793679654946637047582838722028558770145480355421612442695710689505652128127418351659601658472619710198950182821468606565425961488402253819864728483037883651400983377889721033303067639678567681981769778794149552041095677818508345250353168438119245650859620454287654144299232723801953840930423410109916173012507546355052723675787723892131326531591398036998345619616865903425529784588024812902511229514296184451808126267012740512728695964623366496883887348528824008984228603380931035069350072850816675682162383925374079763389615091724064304077356196140886439849502107146828772402106481453173280734057281600270396651595334113079605885956070985557207387371387062313930352700993144343007451190831491577730952815916707292588473862437543782754481174782704474675693607545860324037373674835928498475042415930319658847231495007267586288426119446383112526708711957164367144151475743697976748909725945561513810472487940694400995907246429882688303734335035443875775180729331441920258457863216355942743837230427110556655686726981552959470190126187599118640046987267600302238415001772782172281295779530820087811757688041828167578532829040204534173527646184141539988717777405040717024004307341958095592195440099029877075531798791659655841719041491445021251121806067069017541341027401871521491494545946894086587518848917739697504115978758405506746303221635307611331612277707155834070534688523721911800131222538061531155794019236764311082663740033744692013073278182352172090346134}
19080   8102207130571863802839800426243732219403769846208158999285275528787051: {133511,190730,209759,228876,533932,552479,762760,818591,858105,915312,1029726,1273871,1349639,1501079,1561034,1788914,1916879,2030111,3083471,3158471,3420719,3505384,3943557,3981359,4540199,4964114,5094412,5208431,5319551,5504591,5634952,5763311,6205919,6316274,6316391,6339321,6537119,6546664,6765842,6867671,7087679,7270799,7363852,7364997,7490279,7601349,7636439,7816876,7818959,8256191,8619671,9005042,9049225,9054791,9278344,9658857,10029599,10317311,10425071,10438137,10563914,10676231,10855391,10859070,11070119,11096584,11335345,11427359,11583008,11704065,11819399,11881132,11926151,12032831,12331276,12483657,12484336,12565151,12883679,12999314,13025039,13030884,13342631,13440242,13553999,13602414,13621465,13765079,14044878,14081159,14151311,14816159,15025511,15095231,15130079,15330184,15617111,15721271,16033319,16136197,16193350,16345758,16551959,16826505,16999991,17164874,17171951,17246457,17275031,17789351,17926199,17948272,18218409,18252434,18404159,18438239,18608519,18642551,18744599,19250152,19432020,19625999,19659791,19828631,19929839,20165711,20191806,20236065,20632394,20636279,20655145,20727488,20971439,21273676,21585136,21656421,21739271,21938879,22330401,22780874,22932599,22965599,23051710,23064551,23318424,23426759,23759752,24213671,24270974,24283278,24311711,24350529,24645145,24659944,24735719,24786174,24914954,25125911,25612031,25902839,26064119,26096351,26233227,26353919,26546759,26729721,27051577,27506639,27662052,27697751,27742437,27920351,28110839,28146849,28174271,28554191,28964471,28988725,29436191,29498951,29507350,29559242,29574174,29662252,29874839,29977994,30187154,30202197,30280751,30374231,30467639,30902591,30933599,31459511,32135505,32198039,32228711,32270834,32290031,32473799,32726572,32840471,33253737,33720842,33752111,33963791,34205231,34277872,34340114,34361785,34566431,34672820,34746599,34786470,34956431,35195759,35207350,35408820,35464391,35643119,36207191,36295991,36443831,36804242,36827279,37105568,37212914,37677791,37769408,37882079,38144159,38347465,38492591,38562606,38645110,38648001,38812876,39070751,39157199,39247634,39253585,39329879,39450314,39703031,39760319,39844441,39874799,40359911,40700951,40764904,41069111,41073956,41125631,41234142,41607384,41654152,41743764,42165479,42246664,42248820,42473234,42490584,42750791,43042657,43304951,43498151,43663439,43718471,44212319,44376359,44485559,44557345,44649119,44785199,45065408,45426997,45574161,45699532,45860042,45860517,46009525,46016958,46268879,46349111,46374132,46749191,46808307,46860921,46882151,47104302,47409676,47438399,47527497,47567752,47623031,47801907,47833559,48383759,48488159,48540311,49042905,49267079,49376761,49396199,49532600,49631464,49653839,49791242,49808039,50222809,50396471,50698584,50701799,50854031,51081839,51153554,51535511,51711239,51723529,52088812,52122314,52161311,52236071,52310759,52312432,52459919,52608791,52658351,52701842,53468814,53471471,53513721,53716151,53787777,54057359,54517919,54624242,54662759,54693301,54879479,54999599,55207300,55211430,55525751,55724175,55803784,55811111,55835397,55882271,55961354,56076550,56151794,56166191,56312332,56870951,56920630,57035907,57127559,57174009,57269224,57573772,57614759,57684071,57983591,58098431,58215829,58304639,58601351,58669631,58677080,58783271,58851486,58892192,58987319,59119585,59280911,59415959,59439120,59550719,59685191,59992149,60088876,60197999,60353231,60397511,60530159,60618431,60860519,61489510,61537559,61732679,61775951,61798034,62034911,62176876,62356161,62506679,62593612,62613359,62779257,62804879,63059231,63122639,63375551,63401728,63522551,63651314,63653350,63836231,63842092,63961199,64065119,64148111,64210271,64388594,64427877,64561151,64827911,64895710,64940042,65011799,65072951,65113679,65409969,65486005,65781071,65801159,65841311,65842305,65917132,66011715,66081551,66221159,66248760,66253716,66518999,66869010,66944229,67030991,67089719,67167911,67291860,67323911,67382279,67429054,67498799,67677842,67904351,68063752,68153639,68304756,68420591,68534519,68836919,69486657,69509831,69768719,69823991,70154111,70231792,70336391,70390919,70412496,70481639,70538230,70608311,70665344,70860479,70943502,71128919,71277842,71326944,71413271,71419225,71713151,71746870,71777984,71888471,71993279,72149951,72328585,72414952,72524234,72804311,72872519,72994024,73228511,73463879,73764191,73787412,73813991,73863719,73973497,74127719,74233525,74468594,74529855,74552351,74553676,74714231,74907431,75147311,75337919,75338965,75572101,75668711,75793799,75870105,75949439,76026959,76135151,76221074,76384020,76571721,76579199,76591276,76594391,76639919,76896551,77023702,77121071,77180639,77314199,77328904,77402879,77476559,77575729,77668105,77695089,77740151,77783831,77874852,78145031,78216172,78345119,78387791,78583206,78585375,78740591,78782591,78810551,78991511,79010766,79033079,79184879,79214058,79267271,79322039,79498512,79607471,79674911,79911169,80233511,80240812,80242812,80325239,80507519,80539274,80623871,80662511,80750232,80752391,80892839,80928112,80943671,81283439,81318601,81320831,81392114,81466821,81476288,81580559,81715199,81732242,82089431,82118277,82149071,82184759,82232231,82409111,82511752,82660876,82711439,82826279,82883399,82951679,82963031,83132351,83154791,83165470,83388479,83454599,83520431,83564229,83651231,83662079,83726999,83760914,83824400,83877359,83951951,84131471,84264842,84360359,84391271,84411839,84456550,84473351,84521704,84645876,84756599,84776591,84875185,84905759,84992446,85101839,85160039,85189031,85427831,85435634,85462437,85503191,85596671,85703070,85753751,85781231,85980551,86096244,86211119,86671276,86681039,86794302,86796791,86967479,86995017,87095159,87158231,87181751,87205199,87212999,87261194,87412991,87510959,87532126,87555719,87577991,87673864,87724631,87839639,87959591,88063511,88084079,88124999,88212671,88265951,88267372,88344911,88383959,88480319,88524671,88618391,88667639,88673759,88800431,88900391,88917791,88940879,89003711,89063692,89080230,89137439,89191799,89232842,89247697,89266559,89271839,89303351,89329391,89435826,89451599,89640359,89686799,89763911,89777279,89860271,89956871,89973239,90091919,90170711,90178031,90214151,90273719,90287399,90366791,90382751,90406758,90432479,90474311,90494639,90517391,90532744,90535754,90585191,90638279,90652799,90685559,90721079,90731759,90733871,90762599,90764591,90844011,90860279,90864911,90876911,90902039,90909839,90922199,90942431,90950591,90959159,90970391,90971999,90989399,90992831,90996959,90999719,91000991,91005359,91006271,91007879,91011551,91044126,91103752,91357465,91416608,91660824,92557894,92793674,92825721,93014889,93100264,93201726,93999505,94211692,94302450,94524424,94865042,95018912,95086917,95378152,96327220,96755474,97289521,97367944,97657809,98017395,98633097,98662585,99070984,99117105,99402037,99481225,99552242,99638152,99798564,99976345,...,30987034598382855409878692056840048061275774151476405734962732015768906674254405680664272156094030009953571357177325617895827115720967190514487584663388172000068370238027452672418448103014418846088003422307396282405906483174105073295470868846556742287250994847855618313479267993106852990758889173434443671843586602080361080532906359003643603652731933143929919931750752404374317511366570133513220620692634734712680882970016436173246384873859771634248744184394124590189815033703516665207719125582487243538857538781201791619221652781415046855412160987106799699541587943611548369799692279879390515854376201364429548972181312833602501642149720315455774164572741468826638771760488720082705506722468015081566774636135335086781336876141069311370476479231830476285202356729819540263479393724429654975632296736388523288811450800531672808972782329230823980266412973514833412469671169528090985550456304997600558468166250831735429688915882173132142079394418874613112631402765544344872302998421654223725136608739751677871178913990513241723257139763233869458193322478827936174800910487991673733213725679929959771903695345984423665203159396667395647736350591084548470076747797025235189755283522285286070131870250801180186594295494137750659965542452204674985216951834012120257835329432110967326593004510948568664279611225209529126657096028698891664208015929524474904869860802132166052521143670682930107227161875895966567183968975878844843124556020165863917320004797369911622420073781038960875117398622335738197728885905494427937443527993578200797989685904184806597790563918400258946655428347190519482419955571374258083042838155218220533132418664043566034258478192191127527489402487708929565298425274232202909848138942232603380729797092724556825477101475066834581549954601459517851522972654668191224328061643516727762517875529752657178868476289430681431481216448849085702930761395635115164874259518761319532579085513681585838196989797387097055497518429425298855138294676882037219353766844271444276677712189400519110769093043946935049745325831022793236013476342905071396552604025109276225013523243575888061119645084422637586096456116034294211329659774253160720243158603159722179759921101085922400405594977393001169619408828934106478335811081057080593470895529051489716514511176786247237366596429223875060938882710793656315674131721762174056712013540411318790486056060512253892747712563623895479488270847242510901379432639179169574668790063067935746550716227213615546965123364588918342270715708731911041601493860869644824032455601502553165813662771093997162880387686794824533914115755845640665834983530090472329439205285189281398677960070480901400453357622502659173258421943669296230131717636532062742251367799243560306801260291469276212309983076666107561075536006461012937143388293160148544815613297698187489483762578562237167531876682709100603526312011541102807282237241818920341129881278273376609546256173968137608260119454832452961416997418416560733751105802032785582867700196833807092296733691028855146466623995610050617038019609917273528258135519201}
19081   8134413714223235499626128182805883892009866923236756591903629459951524: {19081,38158,286095,305168,343314,667415,800898,953450,1144140,1220416,1372968,1544589,2341551,2683371,3067211,3981659,4210271,4381730,4930583,5258076,5728331,6368015,7043690,7125074,7446171,7641618,7671911,8118551,8183330,8452428,9153911,9204815,9474411,9709511,9771095,9819996,10135132,10148763,10923794,11045778,11209259,11597930,11725314,12755039,12878476,12983234,13413911,13507563,13870730,13917516,14353898,14478760,14579903,14851415,15414095,15491234,15605420,15704738,15845871,16288605,16549871,16638338,16644876,16843883,17374512,17821698,18136552,18496914,18726504,18886994,19142063,19162730,19498971,19546326,20058674,20160363,20244191,20403621,20789783,20972162,21067317,21577451,21794344,21807911,21958703,22022159,22435340,22995276,23704223,24062690,24160439,24290025,24291212,24518637,24673682,25747311,25909360,26199914,26592095,26864903,26922408,26981420,27378651,28007474,28875228,29148030,29699690,29773868,29929883,29993138,30230591,30287709,30824930,30948591,31091232,31424459,31910514,32083343,32377704,32467372,32662751,33048232,33957218,34171311,34254218,34484843,34577565,34977636,35639628,35669291,36406461,36424917,36447383,36646103,36882736,36965831,36989916,37077815,37102763,37134071,37160882,37179261,37372431,37529132,37607714,38597351,39408074,39432232,40178543,40269596,40801898,40908215,41097458,41493078,41621783,41772779,42600242,42847340,43341025,43427531,43467143,43771739,44261025,44338316,44338863,44361261,44493378,44966991,45203402,45280731,45463682,45773378,46381960,47211760,47466479,48149723,48406251,48516095,48549671,48814103,48828311,49089858,49842071,50110571,50581263,50956130,51342445,51416808,51510171,51530668,52009230,52067690,52118831,52179705,52743938,52808330,52811025,53113230,53542703,53558738,54255659,54395591,54978856,55206363,55368914,55476512,55658352,55819371,56083703,56331760,56654112,57124415,57262271,57412298,57649034,57843909,57967665,58219314,58483931,58530203,58871451,59175471,59262095,59459690,59555783,60484043,60497771,60765548,61147356,61355944,61452818,61610934,61832176,61851213,61915750,62016482,62039330,62411076,62481228,62615646,62805736,62842274,63363083,63369996,63373230,63709851,63735876,63869771,64403723,64580351,65111015,65318594,65390540,66221831,66394418,67598112,67662791,68000783,68549298,68628911,68790063,69009125,69025437,69192623,69561198,69754730,70390415,70546439,70656453,70812098,71114514,71291752,71351628,71586530,71717036,71967215,72197783,72438914,72764642,73284458,73346350,73615240,73956491,74298900,74447196,74686863,75111095,75834551,76047876,76232012,76238303,76714631,76730331,76830059,77721095,77922779,78133218,78155522,78183471,78242015,78468648,79052763,79216151,79252160,79715783,79802615,79820843,79989532,80203221,80323511,81358418,81462731,81487499,81936363,82059458,82060511,82396415,82608482,82708871,82810950,82817145,83141548,83455883,83705676,83942031,83955839,84114825,84227691,84370991,84468498,84595058,84928103,85053083,85079690,85196951,85380945,85903836,86317643,86360658,86579351,86687111,87183383,87213292,87789740,88015620,88277229,88331680,88338288,88466219,88467983,88768031,88890983,89158680,89222471,89258972,89722480,90133314,90518690,91073008,91242530,91482902,91671311,91820402,92234265,92509298,92648876,92697051,93192095,93265314,93883328,93890418,94051538,94107671,94459703,94553378,94591336,94910882,95000258,95102592,95476971,95480025,95739095,95763138,95813258,96051023,96361031,96582891,96647018,96661130,97089074,97343565,97410063,97553351,97770215,97892783,98383216,98479991,98875698,99026711,99373140,99380574,99549131,...,41316046131177140546504922742453397415034365535301874313283642687691875565672540907552362874792040013271428476236434157194436154294622920685983446217850896000091160317369936896557930804019225128117337896409861709874541977565473431060627825128742323049667993130474157751305690657475803987678518897912591562458115469440481440710541812004858138203642577525239893242334336539165756681822093511350960827590179646283574510626688581564328513165146362178998325579192166120253086711604688886943625500776649658051810051708269055492295537041886729140549547982809066266055450591482064493066256373172520687805834935152572731962908417111470002189532960420607698886096988625102185029013984960110274008963290686775422366181513780115708449168188092415160635305642440635046936475639759387017972524965906206634176395648518031051748601067375563745297043105641098640355217298019777883292894892704121314067275073330134077957555001108980572918554509564176189439192558499484150175203687392459829737331228872298300182144986335570494905218654017655631009519684311825944257763305103914899734547317322231644284967573239946362538260461312564886937545862223194196981800788112731293435663729366980253007044696380381426842493667734906915459060658850334213287389936272899980289269112016160343780439242814623102124006014598091552372814966946038835542794704931855552277354572699299873159814402842888070028191560910573476302882501194622089578625301171793124166074693554485223093339729826548829893431708051947833489864829780984263638514540659237249924703991437601063986247872246408797054085224533678595540571129587359309893274095165677444057117540290960710843224885391421379011304256254836703319203316945239420397900365642937213130851922976804507639729456966075767302801966755779442066606135279357135363963539557588299104082191355637016690500706336876238491301719240908575308288598465447603907681860846820219832346025015092710105447351575447784262653063182796073996691239233731806851059569176049625805022459028592368903616252534025481025457391929246732993767774697057648017968457206761862070138700145701633351364324767850748159526779230183448128608154712392281772879699004214293657544804212962906346561468114563200540793303190668226159211771912141971114414774742774124627860705401986288686014902381662983155461905631833414585176947724875087565508962349565408949351387215091720648074747349671856996950084831860639317694462990014535172576852238892766225053417423914328734288302951487395953497819451891123027620944975881388801991814492859765376607468670070887751550361458662883840516915726432711885487674460854221113311373453963105918940380252375198237280093974535200604476830003545564344562591559061640175623515376083656335157065658080409068347055292368283079977435554810081434048008614683916191184390880198059754151063597583319311683438082982890042502243612134138035082682054803743042982989091893788173175037697835479395008231957516811013492606443270615222663224555414311668141069377047443823600262445076123062311588038473528622165327480067489384026146556364704344180692268}
19082   8166747400228304760496826336803576473396416262441221809857613629528958: {57237,247897,267022,381460,419518,457752,514971,590581,1067864,1104958,1201347,1387657,1430175,1525520,1637182,1716210,1830624,1954837,2059452,2068057,2547742,2699278,3002158,3083797,3122068,3577828,3833758,4060222,4205557,6166942,6316942,6572595,6841438,7010768,7856281,7887114,7962718,9080398,9272917,9928228,10030681,10188824,10416862,10565535,10639102,10687611,11009182,11107081,11269904,11462427,11526622,11642581,11856277,12274995,12411838,12632548,12632782,12668915,12678642,13074238,13093328,13531684,13735342,14082697,14175358,14541598,14727704,14729994,14980558,15131737,15202698,15272878,15549337,15633752,15637918,15653557,15869483,16069717,16098095,16385691,16512382,16568667,17239342,17396895,17587971,18010084,18098450,18109582,18440281,18556688,18644617,18746677,19070051,19255897,19317714,19474851,19506775,19661977,20059198,20167957,20634622,20672137,20806095,20850142,20876274,20973781,21127828,21352462,21475081,21530847,21710782,21718140,21974581,22140238,22193168,22670690,22854718,22968181,23166016,23236851,23408130,23462281,23557107,23638798,23762264,23852302,24065662,24662552,24738517,24957507,24967314,24968672,25128757,25130302,25711957,25767358,25998628,26050078,26061768,26099317,26685262,26732547,26870581,26880484,27062677,27107998,27204828,27242930,27530158,27745371,28044175,28089756,28162318,28302622,28330491,28744095,28917203,28967797,29319489,29439577,29533717,29632318,29909557,30051022,30088011,30190462,30190681,30260158,30364015,30660368,30844117,30937177,31234222,31442542,31458243,32066638,32232457,32272394,32324437,32386700,32691516,33103918,33653010,33726775,33999982,34329748,34343902,34492914,34503203,34550062,34600537,34960537,35498377,35578702,35852398,35896544,36094035,36436818,36504868,36566281,36808318,36831637,36876478,37010523,37184437,37217038,37217335,37285102,37489198,37711477,37886581,38500304,38864040,39190681,39251998,39299871,39319582,39657262,39793717,39859678,39879577,40331422,40383612,40472130,40584215,41264788,41272558,41310290,41454976,41750281,41942878,42011211,42547352,43170272,43312842,43478542,43722045,43833781,43877758,44409097,44490997,44549535,44660802,44899417,44989707,45561748,45865198,45931198,46033417,46103420,46129102,46237395,46274581,46636848,46853518,46911415,47519504,47865771,47865781,48106499,48427342,48494197,48541948,48566556,48623422,48701058,48884617,49290290,49319888,49471438,49572348,49660057,49829908,50251822,50336995,50351797,50428297,50581081,50935827,51224062,51381327,51567157,51805678,52128238,52192702,52466454,52615477,52707838,52979971,53093518,53459442,53559175,53686451,53723017,54088597,54103154,54524917,54955019,55013278,55030681,55324104,55389781,55395502,55422895,55484874,55741323,55840702,56102581,56221678,56244277,56293698,56348542,56411571,56808181,57018457,57108382,57297817,57714697,57928942,57977450,57991177,58335157,58872382,58997902,59014700,59085577,59112111,59118484,59148348,59324504,59693077,59749678,59955988,60374308,60404394,60518623,60560281,60561502,60748462,60890581,60935278,61127807,61202847,61415317,61646187,61805182,61867198,62000137,62064757,62239617,62380283,62834581,62919022,63152281,63900363,64271010,64396078,64413335,64457422,64541668,64580062,64947598,65453144,65680942,65810197,66110617,66507474,66646837,66740067,66779779,66824281,67118581,67235797,67441684,67504222,67805103,67927582,68163157,68195523,68410462,68449177,68555744,68563081,68660067,68680228,68723570,68846581,69128281,69132862,69345640,69493198,69572940,69575257,69797017,69912862,70391518,70400917,70414700,70509781,70817640,70928782,71286238,71476597,72003637,72264457,72414382,72591982,72887662,73239157,73608484,73634787,73654558,73990297,74211136,74286217,74425828,75253897,75355582,75538816,75764158,75820681,75956935,76146517,76285081,76288318,76434195,76605877,76694930,76968181,76985182,77125212,77290220,77296002,77625752,77940757,78013845,78101535,78141502,78314398,78495268,78507170,78659758,78900628,79003657,79045237,79115907,79212495,79406062,79520638,79619797,79669845,79688882,79749598,80061337,80338107,80533081,80719822,80803477,80918281,81032437,81401902,81529808,81593497,81667081,81738175,81852331,81958537,82138222,82147912,82209781,82251262,82468284,82736281,82767419,82805257,82908181,82976437,83010457,83053371,83214768,83308304,83413081,83479177,83487528,83675737,83740681,83901781,84330958,84493328,84497640,84770677,84946468,84981168,85212937,85356757,85501582,85638997,85749877,86085314,86118447,86234581,86416777,86473551,86609902,86819977,86996302,87228181,87326878,87328971,87413077,87436942,87637717,87833737,88424638,88445017,88502581,88540597,88689781,88752718,88922377,88971118,89114690,89175637,89189535,89208181,89288281,89298238,89312483,89473177,89517781,89561737,89570398,89619337,89646295,89771797,89798581,89825077,90109081,90130816,90187957,90198937,90345097,90422281,90450037,90537877,90648757,90670681,90705781,90751897,90782677,90844057,90853994,90864217,90878581,90901081,90913717,90991477,90993817,91011637,91016281,91019017,91020277,91024597,91148322,91399064,91680407,91720084,91721034,92019050,92033916,92179227,92416401,92537758,92698222,92748264,92873625,93024723,93058995,93498382,93499303,93616614,93721842,93764302,93923469,94208604,94263411,94819352,94876798,95054994,95059845,95135504,95246062,95290015,95603814,95667118,96767518,96976318,97080622,97977891,98085810,98534158,98753522,98792398,99065200,99262928,99307678,99582484,99591627,99616078,99986915,...,61974069196765710819757384113680096122551548302952811469925464031537813348508811361328544312188060019907142714354651235791654231441934381028975169326776344000136740476054905344836896206028837692176006844614792564811812966348210146590941737693113484574501989695711236626958535986213705981517778346868887343687173204160722161065812718007287207305463866287859839863501504808748635022733140267026441241385269469425361765940032872346492769747719543268497488368788249180379630067407033330415438251164974487077715077562403583238443305562830093710824321974213599399083175887223096739599384559758781031708752402728859097944362625667205003284299440630911548329145482937653277543520977440165411013444936030163133549272270670173562673752282138622740952958463660952570404713459639080526958787448859309951264593472777046577622901601063345617945564658461647960532825947029666824939342339056181971100912609995201116936332501663470859377831764346264284158788837749226225262805531088689744605996843308447450273217479503355742357827981026483446514279526467738916386644957655872349601820975983347466427451359859919543807390691968847330406318793334791295472701182169096940153495594050470379510567044570572140263740501602360373188590988275501319931084904409349970433903668024240515670658864221934653186009021897137328559222450419058253314192057397783328416031859048949809739721604264332105042287341365860214454323751791933134367937951757689686249112040331727834640009594739823244840147562077921750234797244671476395457771810988855874887055987156401595979371808369613195581127836800517893310856694381038964839911142748516166085676310436441066264837328087132068516956384382255054978804975417859130596850548464405819696277884465206761459594185449113650954202950133669163099909202919035703045945309336382448656123287033455525035751059505314357736952578861362862962432897698171405861522791270230329748519037522639065158171027363171676393979594774194110995036858850597710276589353764074438707533688542888553355424378801038221538186087893870099490651662045586472026952685810142793105208050218552450027046487151776122239290168845275172192912232068588422659319548506321440486317206319444359519842202171844800811189954786002339238817657868212956671622162114161186941791058102979433029022353572494474733192858447750121877765421587312631348263443524348113424027080822637580972112121024507785495425127247790958976541694485021802758865278358339149337580126135871493101432454427231093930246729177836684541431417463822083202987721739289648064911203005106331627325542187994325760775373589649067828231511691281331669967060180944658878410570378562797355920140961802800906715245005318346516843887338592460263435273064125484502735598487120613602520582938552424619966153332215122151072012922025874286776586320297089631226595396374978967525157124474335063753365418201207052624023082205614564474483637840682259762556546753219092512347936275216520238909664905922833994836833121467502211604065571165735400393667614184593467382057710292933247991220101234076039219834547056516271038402}
19083   8199208686584406816999310420603286747666328908104513930449631621410816: {38162,76316,400533,476825,572190,610336,629277,686628,934381,1334830,1601796,1657437,1906900,2288280,2440832,2455773,2574315,2745936,3089178,3821613,3902585,4048917,4472285,4503237,4683102,4705597,5366742,5750637,6090333,6134422,7963318,8420542,8582981,8763460,8915221,9250413,9385241,9475413,9861166,10070573,10262157,10516152,11456662,11830671,11944077,12339437,12410285,12693677,12736030,12886741,13620597,13679533,14087380,14250148,14839781,14892342,15074137,15283236,15343822,15625293,15790685,15958653,16237102,16366660,16513773,16904856,16914605,17130713,17289933,18307822,18409630,18617757,18948822,18949173,19017963,19419022,19542190,19611357,19639992,20270264,20297526,20553053,20603013,20791981,21263037,21579733,21812397,21847588,22091556,22094991,22418518,22470837,22512605,22606457,22804047,22909317,23195860,23450628,23456877,23566037,23924953,24768573,25338997,25510078,25756952,25784357,25859013,25966468,26023321,26409785,26827822,27015126,27147675,27164373,27741460,27835032,28707796,28957520,28976571,29159806,29204537,29702830,30088797,30828190,30951933,30982468,31210840,31275213,31314411,31409476,31691742,31940681,32028693,32498285,32566173,32577210,33099742,33210357,33276676,33289752,33600605,33687766,34006035,34282077,34486421,34749024,35112195,35458197,35643396,35778453,35964797,36098493,36273104,36993828,37137997,37228933,37450971,37453008,37695453,37773988,38284126,38325460,38601433,38651037,38997942,39075117,39092652,40027893,40117348,40320726,40483375,40488382,40661997,40807242,40864395,41295237,41579566,41944324,42134634,42243477,42453933,42912185,42949477,43154902,43588688,43615822,43917406,44041757,44044318,44448477,44870680,45076533,45285693,45390237,45631085,45990552,46464877,46851333,47048941,47163813,47408446,47916761,48099957,48125380,48284357,48320878,48408591,48580050,48582424,49037274,49243253,49347364,49655877,49781917,50479515,50999973,51246073,51494622,51515853,51580985,51730237,51739371,51818720,51825093,51908941,52399828,53184190,53368053,53654261,53729806,53778597,53844816,53962840,54261397,54655227,54661213,54757302,55212477,55314717,55638077,55825557,55927653,56014948,56233797,56952185,57271501,57629275,57750456,58296060,58792541,58877997,58979373,59399380,59485893,59547736,59789517,59859766,59986276,60461182,60497133,60575418,60677435,60708195,61649860,61897182,61908837,61965435,62182464,62287385,62848918,62914317,63192281,63821028,64166686,64517477,64755408,64807997,64934744,64969263,65217813,65325502,65816637,66096464,66991203,67673593,67914436,67922533,68342622,68508436,68797797,68896797,68969686,69117373,69155130,69193653,69955272,70280277,71279256,71338582,71342717,71879423,72641013,72685877,72699701,72812922,72849834,72894766,72935133,73051587,73292206,73765472,73768375,73897637,73898105,73931662,73935435,73979832,74155630,74205526,74207157,74268142,74321764,74358522,74744862,74944985,75058264,75157241,75215428,75377733,75467885,76322233,76836093,77194702,77708517,78192357,78289053,78699681,78816148,78864464,79061757,79255301,79640277,79974181,80189163,80357086,80539192,80677085,81154731,81496117,81603796,81816430,82194916,82357781,82519917,82891517,82966933,82986156,83093253,83227311,83243566,83347853,83545558,83761053,84068213,84302105,84332517,84440547,84522813,85200484,85662573,85694680,85850285,85958681,86682050,86855062,86893413,86934286,86966175,87543478,88018375,88308573,88496853,88522050,88676632,88677726,88722522,88900381,88986756,89624517,89933982,90406804,90561462,90606591,90842253,90927364,91122693,91155421,91402917,91546756,92010605,92090557,92707773,92763920,92800797,93032285,93508313,94378533,94423520,94932958,96299446,96406515,96594117,96612775,96686133,96765157,96812502,96870093,97032190,97099342,97421397,97628206,97656622,97966517,98119085,98179716,98521413,98546581,98625785,98875981,99220537,99684142,99761211,...,92961103795148566229636076170520144183827322454429217204888196047306720022763217041992816468282090029860714071531976853687481347162901571543462753990164516000205110714082358017255344309043256538264010266922188847217719449522315219886412606539670226861752984543566854940437803979320558972276667520303331015530759806241083241598719077010930810958195799431789759795252257213122952534099710400539661862077904204138042648910049308519739154621579314902746232553182373770569445101110549995623157376747461730616572616343605374857664958344245140566236482961320399098624763830834645109399076839638171547563128604093288646916543938500807504926449160946367322493718224406479916315281466160248116520167404045244700323908406005260344010628423207934111429437695491428855607070189458620790438181173288964926896890209165569866434352401595018426918346987692471940799238920544500237409013508584272956651368914992801675404498752495206289066747646519396426238183256623839337894208296633034616908995264962671175409826219255033613536741971539725169771419289701608374579967436483808524402731463975021199641177039789879315711086037953270995609478190002186943209051773253645410230243391075705569265850566855858210395610752403540559782886482413251979896627356614024955650855502036360773505988296332901979779013532845705992838833675628587379971288086096674992624047788573424714609582406396498157563431012048790321681485627687899701551906927636534529373668060497591751960014392109734867260221343116882625352195867007214593186657716483283812330583980734602393969057712554419793371691755200776839966285041571558447259866714122774249128514465654661599397255992130698102775434576573382582468207463126788695895275822696608729544416826697810142189391278173670476431304425200503744649863804378553554568917964004573672984184930550183287553626589257971536605428868292044294443649346547257108792284186905345494622778556283958597737256541044757514590969392161291166492555288275896565414884030646111658061300532814332830033136568201557332307279131840805149235977493068379708040429028715214189657812075327828675040569730727664183358935253267912758289368348102882633988979322759482160729475809479166539279763303257767201216784932179003508858226486802319435007433243171241780412686587154469149543533530358741712099789287671625182816648132380968947022395165286522170136040621233956371458168181536761678243137690871686438464812541727532704138297917537508724006370189203807239652148681640846640895370093766755026812147126195733124804481582608934472097366804507659497440988313281991488641163060384473601742347267536921997504950590271416988317615855567844196033880211442704201360072867507977519775265831007888690395152909596188226754103397730680920403780874407828636929949229998322683226608019383038811430164879480445634446839893094562468451287735686711502595630048127301810578936034623308421846711725456761023389643834820129828638768521904412824780358364497358884250992255249682201253317406098356748603100590501421276890201073086565439399871986830151851114058829751820584774406557603}
19084   8231798073226021082454341820977052221574668885579233012072242407386958: {57243,95395,114474,209803,495794,534044,762920,839036,858285,894739,915504,1008643,1029942,1181162,1349923,1577083,2002245,2135728,2209916,2383625,2402694,2595739,2775314,2860350,3051040,3159139,3271603,3274364,3432420,3661248,3909674,4118904,4136114,4633767,5095484,5283643,5398556,5838403,6004316,6167594,6244136,6612043,7024653,7155656,7162483,7667516,8050113,8120444,8411114,8694139,9129163,9201633,10427323,10954325,11821963,11944977,12333884,12567883,12630813,12633884,13145190,13627363,13682876,14021536,14154403,14574739,14791749,15098539,15712562,15774228,15925436,17072563,17184993,17278843,17609225,17736481,17812685,18160796,18545834,19104045,19731739,19833043,19856456,20061362,20377648,20458325,20833724,20842123,21131070,21143443,21278204,21343963,21375222,22018364,22214162,22338513,22537333,22539808,22739539,22924854,23015733,23053244,23135683,23285162,23712554,24355653,24549990,24823676,25196539,25265096,25265564,25337830,25356881,25357284,26148476,26166739,26186656,26552803,27063368,27309485,27461733,27470684,27614445,27990283,28085539,28165394,28180723,28350716,28423233,28994825,29034139,29083196,29128533,29313285,29455408,29459988,29505739,29961116,30069283,30263474,30405396,30446289,30545756,31098674,31267504,31275836,31307114,31738966,32139434,32196190,32297539,32458085,32664883,32771382,33024764,33137334,33627777,34478684,34676825,34793790,35114323,35175942,35884745,36020168,36196900,36219164,36274963,36452443,36880562,37113376,37289234,37335523,37493354,38140102,38211403,38265117,38511794,38559739,38635428,38728085,38949702,39013550,39261845,39323954,39769843,39941563,40118396,40198603,40241733,40335914,40369603,40522689,41135539,41269244,41344274,41595845,41612190,41700284,41752548,41895643,41947562,42255656,42509621,42704924,42733363,42950162,43061694,43315483,43421564,43436280,43646539,43729123,43739709,43949162,44280476,44386336,44554245,45341380,45709436,45936362,46242285,46332032,46414003,46473702,46816260,46893739,46924562,47114214,47217485,47277596,47524528,47537613,47687539,47704604,47906825,48131324,48395803,48552403,48865815,49325104,49331083,49477034,49649613,49915014,49934628,49937344,50146685,50257514,50260604,50531649,50866843,51423914,51534716,51997256,52100156,52104269,52123536,52198634,52373803,52430405,52671739,53370524,53465094,53485123,53741162,53760968,54125354,54215996,54409656,54485860,54941683,55060316,55229539,55490742,55944139,56015203,56088350,56179512,56324636,56581123,56605244,56660982,56817901,56932483,57426189,57488190,57834406,57935594,58044739,58319923,58496913,58638978,58662283,58879154,59067434,59264636,59341603,59476603,59745739,59819114,60102044,60156725,60176022,60347083,60380924,60381362,60413539,60481089,60520316,60728030,60732573,61210863,61320736,61684205,61688234,61727539,61792483,61874354,62369349,62468444,62612693,62694139,62885084,62916486,62949163,63076243,63201951,63266323,63957739,64133276,64464914,64544788,64648874,64732353,64773400,65131483,65192539,65253523,65383032,65423733,65499785,65557363,65675981,65859403,65876109,66066477,66099739,66207836,66990739,67306020,67342603,67453550,67638461,67999964,68659496,68687804,68985828,69006406,69100124,69201074,69287539,69788443,69921074,70018685,70447243,70471793,70880683,70996754,71112669,71157404,71202739,71385281,71522009,71704796,71786443,71793088,71944123,72188070,72481317,72870075,72873636,73009736,73080643,73132562,73334083,73555911,73616636,73663274,73752956,73785739,73835563,74021046,74249225,74368874,74434076,74434670,74476723,74570204,74768539,74961643,74978396,74982845,75422954,75773162,76419139,77000608,77062325,77241933,77367163,77544139,77592053,77728080,77763739,78369043,78381362,78503996,78599742,78639164,78834739,78921557,79209283,79314524,79414843,79496563,79587434,79699603,79719356,79759154,79776285,80297923,80594709,80662844,80767224,80944260,81168430,81631003,82135953,82282243,82529576,82545116,82620580,82909952,83181739,83315803,83500562,83547643,83711083,83840539,83885756,84022422,84439723,84470539,84501283,84653923,84804763,84893045,85094704,85101043,85332883,85503739,85635545,85810243,85946683,86054539,86340544,86625684,86677483,86826739,86957084,87444090,87556603,87623563,87667562,87755516,88094803,88156363,88376539,88818194,88915243,88981994,89002003,89099070,89103739,89321604,89331043,89346739,89789649,89798834,89979414,90156739,90178669,90212539,90328963,90408163,90417739,90427243,90473683,90544243,90552739,90586003,90678883,90691773,90700483,90863127,90904603,90950539,90981643,90987763,91009363,91043203,91047739,91049683,91123496,91482017,91730396,91862396,92066834,92206840,92258204,92474790,92549162,92845773,92902205,93273696,93707036,93822830,94019285,94273377,95039008,95731542,95731562,96212998,96250029,96734573,96854684,96988394,97083896,97133112,97246844,97402116,97769234,97988253,98520185,98580580,98639776,98942876,99144696,99320114,99659816,...,123948138393531421639514768227360192245103096605905622939850928063075626697017622722657088624376120039814285428709302471583308462883868762057950338653552688000273480952109810689673792412057675384352013689229585129623625932696420293181883475386226969149003979391422473253917071972427411963035556693737774687374346408321444322131625436014574414610927732575719679727003009617497270045466280534052882482770538938850723531880065744692985539495439086536994976737576498360759260134814066660830876502329948974155430155124807166476886611125660187421648643948427198798166351774446193479198769119517562063417504805457718195888725251334410006568598881261823096658290965875306555087041954880330822026889872060326267098544541340347125347504564277245481905916927321905140809426919278161053917574897718619902529186945554093155245803202126691235891129316923295921065651894059333649878684678112363942201825219990402233872665003326941718755663528692528568317577675498452450525611062177379489211993686616894900546434959006711484715655962052966893028559052935477832773289915311744699203641951966694932854902719719839087614781383937694660812637586669582590945402364338193880306991188100940759021134089141144280527481003204720746377181976551002639862169808818699940867807336048481031341317728443869306372018043794274657118444900838116506628384114795566656832063718097899619479443208528664210084574682731720428908647503583866268735875903515379372498224080663455669280019189479646489680295124155843500469594489342952790915543621977711749774111974312803191958743616739226391162255673601035786621713388762077929679822285497032332171352620872882132529674656174264137033912768764510109957609950835718261193701096928811639392555768930413522919188370898227301908405900267338326199818405838071406091890618672764897312246574066911050071502119010628715473905157722725725924865795396342811723045582540460659497038075045278130316342054726343352787959189548388221990073717701195420553178707528148877415067377085777106710848757602076443076372175787740198981303324091172944053905371620285586210416100437104900054092974303552244478580337690550344385824464137176845318639097012642880972634412638888719039684404343689601622379909572004678477635315736425913343244324228322373883582116205958866058044707144988949466385716895500243755530843174625262696526887048696226848054161645275161944224242049015570990850254495581917953083388970043605517730556716678298675160252271742986202864908854462187860493458355673369082862834927644166405975443478579296129822406010212663254651084375988651521550747179298135656463023382562663339934120361889317756821140757125594711840281923605601813430490010636693033687774677184920526870546128250969005471196974241227205041165877104849239932306664430244302144025844051748573553172640594179262453190792749957935050314248948670127506730836402414105248046164411229128948967275681364519525113093506438185024695872550433040477819329811845667989673666242935004423208131142331470800787335228369186934764115420585866495982440202468152078439669094113032542076804}
19085   8264516062032252080748889192140444136760248061054865633039418773087812: {76324,152632,171711,667555,743691,801066,953650,1048795,1144380,1220672,1258554,1373256,1544913,1771743,1868762,2669660,2762395,3203592,3314874,3604041,3813800,4092955,4162971,4290525,4576560,4819903,4881664,4911546,5148630,5463619,5491872,5505739,5864511,6178356,6204171,6261199,6369355,6748195,7505395,7643226,7748059,7805170,8097834,8944570,9001663,9006474,9251391,9366204,9411194,9584395,10032499,10143523,10150555,10489387,10733484,11501274,11970499,12180666,12268844,12616671,12757723,13569103,14582971,15257803,15417355,15792355,15926636,16841084,17103595,17165962,17374399,17526920,17537923,17830442,18500826,18770482,18950826,19066027,19146091,19717785,19722332,19906795,20141146,20524314,21032304,21079003,21642139,22106959,22700995,22913324,23171971,23568843,23661342,23680447,23709211,23888154,24165523,24678874,24820570,25387354,25472060,25773482,25909267,26042155,26468959,26597755,26658403,27241194,27359066,27522955,27818751,27850771,28174760,28500296,28715227,28816555,29679562,29784684,30092043,30148274,30566472,30687644,31029595,31218643,31250586,31517647,31581370,31581955,31696605,31917306,32062833,32474204,32669659,32685595,32733320,33027546,33042739,33321243,33498763,33809712,33829210,33907423,34261426,34338355,34387281,34579866,34927743,35131027,35438395,35568831,36230911,36353995,36615644,36819260,36824985,36973699,37235514,37451395,37897644,37898346,38006745,38035926,38182195,38543647,38837731,38838044,39084380,39094795,39222714,39279984,40540528,40595052,41106106,41206026,41280955,41583962,42248091,42503851,42526074,43098355,43159466,43624794,43695176,44183112,44189982,44837036,44913871,44941674,45025210,45212914,45246125,45273955,45395211,45497599,45608094,45668011,45818634,46391720,46648011,46901256,46913754,46960671,47040847,47132074,47608449,47849906,47921827,48209151,48294285,48559939,49157073,49537146,49706001,50147995,50473459,50677994,51020156,51513904,51568714,51586555,51718026,51932936,52046642,52125355,52190685,52628767,52763913,52819570,53312011,53331667,53381155,53554027,53655644,54030252,54276955,54295350,54328746,55230403,55320843,55350595,55482920,55670064,55933851,56051743,56240031,56676725,57063331,57136795,57210153,57274459,57415592,57767691,57915040,57953142,58089163,58319612,58409074,58424553,58520325,58985931,59096995,59328571,59405660,59630755,59891467,59966527,60077059,60164155,60177594,60503871,61656380,61903866,61964936,62016411,62418285,62421680,62431987,62550426,62628822,62818952,62825755,62847199,62921343,63383484,63833827,63881362,63883519,64057386,64418395,64425243,64592541,64814851,64996570,65125195,65132346,65154420,65405659,65677903,65754091,65923743,66199484,66420714,66553352,66579504,66713155,67201210,67375532,67664671,67769995,68012070,68107325,68243263,68564154,68825395,68904543,68972842,69498048,69710553,70224390,70386843,70394767,70405795,70626667,70671321,70756555,70804939,70852351,70916394,71286792,71556906,71929594,72196986,72213379,72546208,73340227,73352371,73987656,74080795,74215551,74275994,74457866,74872521,74901942,74906016,74944927,75127555,75165187,75352219,75386271,75390906,75476155,75547976,75650395,76254427,76568252,76650920,76730203,77135871,77202866,77302074,77995884,78085555,78150234,78185304,78297951,78606355,78745183,79733059,80055786,80166595,80197641,80234696,80340499,80611743,80641452,80680985,80966750,80976764,81188031,81252607,81323994,81614484,81728790,82590474,82759795,83159132,83236113,83759491,83888648,84132525,84269268,84486954,84907866,84948409,84991473,84999955,85824370,85859755,85898954,85901491,86047147,86232285,86309804,86375155,86597779,86751609,86903391,87177376,87202339,87231644,87333571,87834812,87958467,88083514,88088636,88311967,88318731,88601151,88896954,88946755,89630995,89728671,89741360,89745499,90130879,90153066,90264033,90571386,90572043,90780474,91092045,91262170,91690699,91981104,92020795,92191195,92532351,92811531,92929754,93042595,93212755,93587659,93702666,93722995,93958591,94097882,94327626,94374729,94816892,95833522,95859859,96071467,96199914,96250760,96568714,96625231,96641756,96697371,96817182,96973311,97160100,97164848,97331923,98074548,98129995,98298955,98486506,98500819,98694728,99143155,99168259,99311754,99563834,99570559,99649195,...,185922207590297132459272152341040288367654644908858434409776392094613440045526434083985632936564180059721428143063953707374962694325803143086925507980329032000410221428164716034510688618086513076528020533844377694435438899044630439772825213079340453723505969087133709880875607958641117944553335040606662031061519612482166483197438154021861621916391598863579519590504514426245905068199420801079323724155808408276085297820098617039478309243158629805492465106364747541138890202221099991246314753494923461233145232687210749715329916688490281132472965922640798197249527661669290218798153679276343095126257208186577293833087877001615009852898321892734644987436448812959832630562932320496233040334808090489400647816812010520688021256846415868222858875390982857711214140378917241580876362346577929853793780418331139732868704803190036853836693975384943881598477841089000474818027017168545913302737829985603350808997504990412578133495293038792852476366513247678675788416593266069233817990529925342350819652438510067227073483943079450339542838579403216749159934872967617048805462927950042399282354079579758631422172075906541991218956380004373886418103546507290820460486782151411138531701133711716420791221504807081119565772964826503959793254713228049911301711004072721547011976592665803959558027065691411985677667351257174759942576172193349985248095577146849429219164812792996315126862024097580643362971255375799403103813855273069058747336120995183503920028784219469734520442686233765250704391734014429186373315432966567624661167961469204787938115425108839586743383510401553679932570083143116894519733428245548498257028931309323198794511984261396205550869153146765164936414926253577391790551645393217459088833653395620284378782556347340952862608850401007489299727608757107109137835928009147345968369861100366575107253178515943073210857736584088588887298693094514217584568373810690989245557112567917195474513082089515029181938784322582332985110576551793130829768061292223316122601065628665660066273136403114664614558263681610298471954986136759416080858057430428379315624150655657350081139461455328366717870506535825516578736696205765267977958645518964321458951618958333078559526606515534402433569864358007017716452973604638870014866486342483560825373174308938299087067060717483424199578575343250365633296264761937894044790330573044340272081242467912742916336363073523356486275381743372876929625083455065408276595835075017448012740378407614479304297363281693281790740187533510053624294252391466249608963165217868944194733609015318994881976626563982977282326120768947203484694535073843995009901180542833976635231711135688392067760422885408402720145735015955039550531662015777380790305819192376453508206795461361840807561748815657273859898459996645366453216038766077622860329758960891268893679786189124936902575471373423005191260096254603621157872069246616843693423450913522046779287669640259657277537043808825649560716728994717768501984510499364402506634812196713497206201181002842553780402146173130878799743973660303702228117659503641169548813115206}
19086   8297363156834339056837894797637931571536179647163459299842213490509753: {95405,114486,133553,190790,228948,247949,324173,419606,991588,1068088,1201599,1387949,1430475,1525840,1678072,1716570,1789478,1831008,1887831,2017286,2030753,2059884,2143949,2362324,2407793,2633633,2699846,2803143,3154166,3159473,3271949,3337075,4004490,4271456,4280993,4419832,4767250,4805388,4972311,5191478,5321249,5506349,5550628,5720700,5875949,6102080,6318278,6318413,6543206,6548728,6864840,6869873,6979949,7322496,7367319,7722945,7819348,8237808,8272228,8368013,9267534,9274913,9347249,10140833,10190968,10428449,10536173,10567286,10797112,10966349,11464839,11676806,11707755,11858849,11930033,12008632,12036749,12143393,12146751,12335188,12391949,12488272,13205873,13224086,13416855,13452749,13509711,13875053,14049306,14116791,14155949,14311312,14324966,14576333,15135053,15335032,15336055,15552749,15622253,15726449,16100226,16142513,16240888,16822228,17005613,17251911,17280749,17388278,17521073,18034733,18239693,18258326,18270999,18403266,18750833,19733933,19908295,19936493,20273453,20844449,20854646,21051355,21846449,21908650,22278413,22444193,22775153,23072333,23171249,23643926,23889954,24319949,24652915,24667768,24937759,25135766,25199393,25231853,25261626,25267768,25717793,25748943,26169713,26201933,26290380,26745663,27254726,27365752,27452273,27751239,27929933,28043072,28120493,28155723,28279073,28308806,28426239,28564013,28641655,29037473,29068973,29149478,29446349,29509133,29540513,29583498,29697293,29967223,30197078,30211719,30384749,30478193,30786471,30913313,31425124,31548456,31840075,31840433,31850872,32301293,32331953,33400013,33854753,33975713,34066349,34145126,34369986,34557686,34758833,34968749,35218450,35472962,35492013,35625370,35655713,35832231,36308849,36321592,37018311,37091668,37193249,37230855,37251953,37778849,38081031,38208090,38233279,38359555,38660223,39171233,39430253,39463478,39666086,39712912,39803249,39946349,40122724,40573613,40592755,40755296,40861791,40916650,40999073,41038599,41667448,41684246,42012833,42262140,42264653,42286886,42556408,42687926,42750444,42766349,42988493,43320749,43679393,44036728,44428324,44519343,44677026,44964749,45074666,45079616,45154673,45222411,45441319,45479078,45769555,45849708,45856673,46024075,46031466,46044749,46098413,46106488,46271366,46366253,46570324,46875879,46899533,46979249,47372055,47425108,47875959,48244913,48506273,48547555,48558449,48711306,48855475,49099980,49285553,49541319,49647352,50238643,50364449,50393078,50415473,50530192,50531128,50675660,50713762,50714568,50743815,50949293,51392139,51869799,52081313,52255949,52296952,52330673,52333478,52373312,52678433,52826993,53105606,53418353,54029453,54126736,54151073,54219319,54618970,54756173,54876593,54923466,54941368,54966583,55228890,55260593,55666349,55853271,55903949,55980566,56046295,56171078,56258849,56330788,56361446,56447393,56611949,56701432,56846466,56847519,57033293,57053889,57242993,57706673,57845153,57989650,58052333,58068278,58166392,58234183,58257066,58350449,58626570,58692749,58834071,58910816,58919976,59011478,59753633,59922232,60138566,60377249,60487949,60526948,60810792,60892578,61091512,61147949,61659159,61757453,61809039,61865633,62059853,62197348,62375943,62535008,62551672,62614228,62702573,62723873,62978849,63148193,63295949,63464333,63477932,63775195,63789111,63862193,63987233,64091213,64236449,64278868,64339949,64392380,64595078,64739199,64916170,65099633,65201453,65329766,65437191,65542764,65566349,65868449,66049528,66104479,66128813,66274668,66284973,66308273,66467249,66605933,67000013,67019633,67069555,67117613,67254449,67255554,67410353,67412511,67537815,67819371,68182193,68411249,68412141,68506349,68727951,68957368,69353650,69409133,69587580,69594893,69816749,69853613,69908849,70205359,70228646,70351884,70370631,70420913,70457249,70698111,71123693,71212913,71497073,71769490,71774859,71796749,72024353,72040336,72285293,72393800,72438328,72440993,72549926,72887153,72899515,72904886,73040333,73260449,73402567,73761124,73846349,73896113,73962353,73996819,74044973,74209613,74226752,74257075,74305719,74578468,74671046,74876273,74986708,75228449,75307949,75595927,75702449,76016991,76060973,76215533,76280204,76422806,76530234,76674413,77023588,77070475,77119478,77260193,77270856,77353071,77456170,77482253,77555873,77570573,77577039,77819249,77899404,77964449,77993393,78027100,78069963,78080033,78423713,78523690,78647908,78776813,78818849,78888749,79069553,79229355,79303949,79440749,79539686,79644449,79873133,79883126,79936363,80236792,80271053,80310449,80397206,80402093,80467313,80483466,80671828,80700449,80739053,80739206,80828849,81019949,81045378,81121133,81171533,81359393,81443025,81493119,81496013,81643949,82092833,82224173,82271078,82401713,82448753,82538488,82688548,82716749,82749355,82831949,83037293,83191690,83224380,83340449,83400568,83505096,83670449,83724749,83791286,83895124,83993249,84219415,84364423,84433073,84484493,84511312,84667949,84818849,84997553,85019242,85231793,85385393,85409848,85466726,85470893,85667873,85797233,85824749,85900324,86024333,86069153,86078093,86123388,86342573,86357887,86630966,86843128,86849933,86872560,86890913,86923553,86929713,87044813,87132593,87227249,87250733,87293078,87305249,87443633,87458246,87458849,87479418,87481613,87613611,87624113,87683249,87734573,87879053,87898324,88131053,88279949,88457393,88489613,88560952,88666349,88740173,88772672,88806833,88866593,88966349,89108490,89120033,89315873,89352749,89491313,89516333,89652749,89676449,89709293,89805473,89814449,89827853,89867633,90036593,90127949,90177713,90196493,90222449,90229793,90233453,90266391,90444749,90491249,90544673,90573233,90606449,90646349,90682760,90684449,90781553,90824813,90904013,90919853,90950513,90953249,90968993,90987053,91001249,91018673,91026413,91028849,91047533,91057613,91062449,91063073,91063949,91068833,91418872,91699699,91872724,92484570,92664064,92828006,92855799,92947404,93270931,93632520,93787478,93825639,93849124,93943233,94228428,94434970,94555192,95049056,95075226,95375078,95409208,95710315,95813650,95822043,96086079,96262648,96791606,97104806,97494855,97698519,97731630,98026159,98650208,98662166,98954068,99299226,99631071,99830028,99869256,99874688,...,278883311385445698688908228511560432551481967363287651614664588141920160068289651125978449404846270089582142214595930561062444041488704714630388261970493548000615332142247074051766032927129769614792030800766566541653158348566945659659237819619010680585258953630700564821313411937961676916830002560909993046592279418723249724796157231032792432874587398295369279385756771639368857602299131201618985586233712612414127946730147925559217463864737944708238697659547121311708335303331649986869472130242385191849717849030816124572994875032735421698709448883961197295874291492503935328197230518914514642689385812279865940749631815502422514779347482839101967481154673219439748945844398480744349560502212135734100971725218015781032031885269623802334288313086474286566821210568375862371314543519866894780690670627496709599303057204785055280755040963077415822397716761633500712227040525752818869954106744978405026213496257485618867200242939558189278714549769871518013682624889899103850726985794888013526229478657765100840610225914619175509314257869104825123739902309451425573208194391925063598923531119369637947133258113859812986828434570006560829627155319760936230690730173227116707797551700567574631186832257210621679348659447239755939689882069842074866952566506109082320517964888998705939337040598537117978516501026885762139913864258290024977872143365720274143828747219189494472690293036146370965044456883063699104655720782909603588121004181492775255880043176329204601780664029350647876056587601021643779559973149449851436991751942203807181907173137663259380115075265602330519898855124714675341779600142368322747385543396963984798191767976392094308326303729720147747404622389380366087685827468089826188633250480093430426568173834521011429293913275601511233949591413135660663706753892013721018952554791650549862660879767773914609816286604876132883330948039641771326376852560716036483868335668851875793211769623134272543772908176483873499477665864827689696244652091938334974183901598442998490099409704604671996921837395522415447707932479205139124121287086145642568973436225983486025121709192182992550076805759803738274868105044308647901966937968278446482188427428437499617839289909773301603650354796537010526574679460406958305022299729513725341238059761463407448630600591076225136299367863014875548449944397142906841067185495859566510408121863701869114374504544610285034729413072615059315394437625182598112414893752612526172019110567611421718956446044922539922686110281300265080436441378587199374413444747826803416292100413522978492322964939845974465923489181153420805227041802610765992514851770814250964952847566703532588101640634328112604080218602523932559325797493023666071185458728788564680262310193192042761211342623223485910789847689994968049679824058149116434290494638441336903340519679283687405353863207060134507786890144381905431736808103869925265540135176370283070168931504460389485916305565713238474341075093492076652752976765749046603759952218295070245809301771504263830670603219259696318199615960490455553342176489255461754323219672809}
19087   8330339863423194378126092972661963330105911259027061332397352586697579: {19087,152648,171729,286185,305264,343422,629409,934577,1239485,1335110,1468313,1487382,1602132,1907300,2097590,2288760,2441344,2517108,2574855,2684217,2746512,2952905,3025929,3089826,3543486,3737524,3867353,4049769,4731249,5339320,5524790,5696249,5730137,6006735,6153473,6407184,6629748,6938285,7150875,7208082,7627600,7787217,8185910,8325942,8581050,8917097,9153120,9156797,9447473,9477417,9639806,9763328,9774185,9814809,9823092,10297260,10340285,10507553,10638329,10927238,10983744,11011478,11212793,11729022,12356712,12408342,12522398,12738710,13378793,13418153,13496390,13901301,14009633,14210777,15010790,15077309,15286452,15418985,15496118,15610340,15850929,16195668,17515209,17889140,18003326,18012948,18031949,18502782,18732408,18822388,19168790,19712333,19836129,20064998,20250593,20287046,20301110,20978774,21027785,21073959,21309089,21466968,21487449,21496409,21584297,22109297,23002548,23940998,23945033,24150339,24188273,24361332,24537688,24911549,25233342,25344329,25515446,26028797,26082417,27138206,27387489,27604899,27696113,27869513,28836653,29165942,30515606,30834710,31281497,31281969,31286477,31584710,31781393,31853272,32093489,32673113,32862975,33682168,33911009,34207190,34331924,34748798,35053840,35075846,35132849,35465889,35660884,35834931,36459017,37001652,37236857,37540964,37703649,37892439,37901652,38132054,38292182,38532137,38609597,39264089,39281405,39435570,39444664,39813590,40072409,40282292,40343177,40882089,41048628,42064608,42158006,42463209,43284278,43441433,43480889,43724217,44213918,44214737,44375247,45295617,45401990,45759833,45826648,46343942,46364585,47137686,47322684,47360894,47418422,47776308,48073697,48331046,48565073,48817529,49357748,49613753,49641140,49857833,50153405,50478797,50774708,50895593,50944120,51217689,51546964,51554979,51818534,51836529,52084310,52135313,52431953,52827675,52937918,53195510,53209443,53316806,53438055,53455073,53559689,54272873,54412793,54482388,54718132,54732713,55045910,55535405,55637502,55701542,56349520,56411513,56786189,57000592,57009713,57312135,57430454,57633110,57793337,57924569,58212905,58502609,59195217,59281385,59359124,59499129,59569368,59745977,60184086,60296548,60337697,61132944,61339709,61374975,61375288,62059190,62437286,62501172,62526369,63035294,63162740,63163910,63344575,63383537,63393210,63430329,63834612,64021913,64031889,64125666,64948408,65339318,65371190,65466640,65684849,66055092,66085478,66242969,66642486,66997526,67015539,67611999,67619424,67647233,67658420,67687997,67814846,68218617,68522852,68650829,68676710,68774562,69047199,69159732,69407049,69855486,70207193,70262054,70413485,70876790,71137662,71343689,72207017,72221177,72461822,72707990,72975497,73066959,73231288,73638520,73649970,73947398,74471028,74733617,74902790,75589617,75658685,75795288,75796692,75987737,76013490,76070643,76071852,76262489,76364390,77087294,77297597,77485433,77490833,77675462,77676088,77746685,78168760,78189590,78267785,78445428,78500217,78559968,79027937,79347415,79658409,79991513,80348585,80348993,80490475,80651129,81081056,81190104,81513353,81571193,81928455,81968489,82212212,82385199,82412052,82561910,82735793,82843335,83167924,83483057,83970849,84229817,84256617,84496182,84542169,85007702,85052148,85269699,86196710,86318932,86984475,87102417,87249588,87385599,87390352,87939855,87956057,88366224,88379964,88496237,88517217,89674072,89827742,89883348,89998073,90050420,90185753,90207849,90384257,90425828,90492250,90547910,90681149,90790422,90995198,91175273,91216188,91305593,91336022,91338867,91637268,91700393,91981433,92201405,92669777,92783440,93062489,93223085,93296022,93398417,93733385,93802512,93827508,93921342,94081694,94264148,94877993,95216898,95350255,95699812,95843654,95869997,96279485,96355553,96418302,96588570,96785753,96892617,97119878,97259273,97374255,97533875,97994649,98309885,98314146,98511233,98568113,99059177,99074292,99412002,99805997,...,371844415180594264918544304682080576735309289817716868819552784189226880091052868167971265873128360119442856286127907414749925388651606286173851015960658064000820442856329432069021377236173026153056041067688755388870877798089260879545650426158680907447011938174267419761751215917282235889106670081213324062123039224964332966394876308043723243832783197727159039181009028852491810136398841602158647448311616816552170595640197234078956618486317259610984930212729495082277780404442199982492629506989846922466290465374421499430659833376980562264945931845281596394499055323338580437596307358552686190252514416373154587666175754003230019705796643785469289974872897625919665261125864640992466080669616180978801295633624021041376042513692831736445717750781965715422428280757834483161752724693155859707587560836662279465737409606380073707673387950769887763196955682178000949636054034337091826605475659971206701617995009980825156266990586077585704952733026495357351576833186532138467635981059850684701639304877020134454146967886158900679085677158806433498319869745935234097610925855900084798564708159159517262844344151813083982437912760008747772836207093014581640920973564302822277063402267423432841582443009614162239131545929653007919586509426456099822603422008145443094023953185331607919116054131382823971355334702514349519885152344386699970496191154293698858438329625585992630253724048195161286725942510751598806207627710546138117494672241990367007840057568438939469040885372467530501408783468028858372746630865933135249322335922938409575876230850217679173486767020803107359865140166286233789039466856491096996514057862618646397589023968522792411101738306293530329872829852507154783581103290786434918177667306791240568757565112694681905725217700802014978599455217514214218275671856018294691936739722200733150214506357031886146421715473168177177774597386189028435169136747621381978491114225135834390949026164179030058363877568645164665970221153103586261659536122584446632245202131257331320132546272806229329229116527363220596943909972273518832161716114860856758631248301311314700162278922910656733435741013071651033157473392411530535955917291037928642917903237916666157119053213031068804867139728716014035432905947209277740029732972684967121650746348617876598174134121434966848399157150686500731266592529523875788089580661146088680544162484935825485832672726147046712972550763486745753859250166910130816553191670150034896025480756815228958608594726563386563581480375067020107248588504782932499217926330435737888389467218030637989763953253127965954564652241537894406969389070147687990019802361085667953270463422271376784135520845770816805440291470031910079101063324031554761580611638384752907016413590922723681615123497631314547719796919993290732906432077532155245720659517921782537787359572378249873805150942746846010382520192509207242315744138493233687386846901827044093558575339280519314555074087617651299121433457989435537003969020998728805013269624393426994412402362005685107560804292346261757599487947320607404456235319007282339097626230412}
19088   8363446689556970836313563685259813237686459258830099070498770640124554: {133567,190810,228972,267106,362311,381580,457896,495898,515133,648346,704887,839212,1501711,1983176,2002665,2068711,2136176,2231073,2384125,2403198,2775898,2860950,3051680,3146385,3356144,3433140,3578956,3662016,3775662,4034572,4061506,4119768,4287898,4318711,4634739,4671905,4724648,4815586,5267266,5315229,5399692,5606286,6208567,6308332,6318946,6543898,6674150,7420327,7639711,8008980,8287185,8542912,8561986,8839664,9534500,9610776,9944622,10141927,10382956,10573207,10642498,10812123,11012698,11101256,11217967,11441400,11646367,11751898,12180247,12204160,12278865,12488913,12636556,12636826,12712327,12871575,13030711,13086412,13097456,13729680,13739746,13959898,14402887,14459709,14644992,14734638,15445890,15638696,15658711,15971047,16390857,16475616,16490167,16517217,16544456,16697311,16736026,17523007,17593533,17934127,18535068,18549826,18612513,18694498,18752911,18783597,19108065,19512925,20073607,20244585,20275711,20281666,20381936,20856898,21072346,21134572,21470477,21594224,21932698,22081687,22280911,22361425,22516185,22929678,23074927,23244177,23353612,23415510,23527985,23568847,23717698,23860066,24017264,24073498,24286786,24293502,24453367,24670376,24783898,24976544,25234711,26204911,26411746,26448172,26833710,26905498,27004989,27019422,27167911,27646711,27750106,27754173,27871613,27933127,28098612,28233582,28311898,28314007,28622624,28649932,28753185,28883167,29072311,29152666,29471897,29543911,30097497,30270106,30294727,30430569,30451665,30670064,30672110,30947911,31105498,31244506,31452898,31468161,31597567,32200452,32285026,32335711,32481776,33434287,33644456,34011226,34341847,34503822,34514081,34561498,34776556,35042146,35415809,35911497,36069466,36479386,36516652,36541998,36579247,36806532,37501666,37850013,38273169,39204727,39291127,39467866,39816590,39872986,39893911,40098317,40546906,40578487,40707309,41688898,41709292,41765407,42102710,42914905,43692898,43748913,43817300,43849807,43932247,44343367,44507311,44556826,44576105,44888386,44915911,45550306,45773409,46144666,46252065,46342498,46371967,46926205,47287852,47377065,47779908,48277087,48512311,48639898,49305830,49335536,49875518,50271532,50352865,50398786,50447311,50463706,50523252,50535536,50600167,50676487,51208711,51310785,51435586,51497886,51737407,52112887,52123197,52339426,52403866,52580760,52613769,52858447,53491326,53703377,54182311,54509452,54731504,54904546,54907711,55123927,55502478,55859866,56086144,56195287,56240986,56311446,56558146,56617612,56829857,56852478,56900527,57128026,57198081,57250447,57283310,57389911,57438273,57737311,58074946,58137946,58298956,58632127,58892698,59018266,59081026,59108911,59153355,59166996,59394586,59720385,59934446,59985007,60394156,60423438,60650647,60769498,60956386,60980767,61572942,61697185,61826626,62051425,62089711,62540287,62732311,62850248,63096912,63177847,63237009,63468385,63680150,63680866,63701744,64077377,64182967,64433705,64602586,64663906,64926417,66320877,66800026,66800833,67028911,67146487,67205167,67709506,67951426,67966577,68102985,68132698,68290252,68397665,68739972,69115372,69515913,69517666,69937498,70436900,70706529,70945924,70972711,70984026,71041341,71127633,71133847,71250740,71311426,71664462,71929807,72295711,72496569,72617698,72643184,72914767,73973167,74036622,74072311,74183336,74198905,74386498,74461710,74503906,74903407,75370685,75557698,75901327,76162062,76226911,76416180,76466558,76685911,76719110,76912711,77002927,77227207,77320446,77360911,77582311,77727801,78126465,78342466,78464813,78860506,78926956,78953425,79081711,79332172,79371007,79406877,79425824,79606498,79793265,79892698,79898911,79975209,80217727,80245448,80994607,81147226,81185510,81510592,81521287,81632311,81723582,81833300,81878137,81998146,82077198,82105927,82249207,82284847,82568865,82637287,82879711,83050711,83334896,83368492,83456253,83552313,84025666,84524280,84529306,84570127,84573025,84573772,84812911,85112816,85255711,85375852,85500888,85532698,85653565,85976986,86092711,86145681,86357311,86449665,86538247,86641498,87059887,87155647,87273727,87358786,87390007,87901711,88007911,88073456,88473247,88756207,88856648,89005687,89038686,89224711,89285273,89337607,89340641,89354052,89582407,89726047,89849167,89915047,89929498,90041407,90149332,90159232,90250711,90276129,90309346,90356911,90407311,90426967,90444822,90565207,90709711,90842911,90882638,90938167,90956167,90958156,90960487,91016647,91037311,91049911,91064527,91076911,91539110,91699416,91713346,92048150,92062932,92089498,92196826,92212976,92542732,92732506,93088785,93140648,93528781,93655929,93751758,93799066,93897377,93958498,94552941,94744110,94745865,94850216,95089815,95751918,96188499,96489826,97012546,97095110,97116898,97422612,97710950,98008977,98056785,98199960,98571106,99082638,99128217,99294704,99703409,99963729,...,557766622770891397377816457023120865102963934726575303229329176283840320136579302251956898809692540179164284429191861122124888082977409429260776523940987096001230664284494148103532065854259539229584061601533133083306316697133891319318475639238021361170517907261401129642626823875923353833660005121819986093184558837446499449592314462065584865749174796590738558771513543278737715204598262403237971172467425224828255893460295851118434927729475889416477395319094242623416670606663299973738944260484770383699435698061632249145989750065470843397418897767922394591748582985007870656394461037829029285378771624559731881499263631004845029558694965678203934962309346438879497891688796961488699121004424271468201943450436031562064063770539247604668576626172948573133642421136751724742629087039733789561381341254993419198606114409570110561510081926154831644795433523267001424454081051505637739908213489956810052426992514971237734400485879116378557429099539743036027365249779798207701453971589776027052458957315530201681220451829238351018628515738209650247479804618902851146416388783850127197847062238739275894266516227719625973656869140013121659254310639521872461381460346454233415595103401135149262373664514421243358697318894479511879379764139684149733905133012218164641035929777997411878674081197074235957033002053771524279827728516580049955744286731440548287657494438378988945380586072292741930088913766127398209311441565819207176242008362985550511760086352658409203561328058701295752113175202043287559119946298899702873983503884407614363814346275326518760230150531204661039797710249429350683559200284736645494771086793927969596383535952784188616652607459440295494809244778760732175371654936179652377266500960186860853136347669042022858587826551203022467899182826271321327413507784027442037905109583301099725321759535547829219632573209752265766661896079283542652753705121432072967736671337703751586423539246268545087545816352967746998955331729655379392489304183876669948367803196885996980198819409209343993843674791044830895415864958410278248242574172291285137946872451966972050243418384365985100153611519607476549736210088617295803933875936556892964376854856874999235678579819546603207300709593074021053149358920813916610044599459027450682476119522926814897261201182152450272598735726029751096899888794285813682134370991719133020816243727403738228749009089220570069458826145230118630788875250365196224829787505225052344038221135222843437912892089845079845372220562600530160872882757174398748826889495653606832584200827045956984645929879691948931846978362306841610454083605221531985029703541628501929905695133407065176203281268656225208160437205047865118651594986047332142370917457577129360524620386384085522422685246446971821579695379989936099359648116298232868580989276882673806681039358567374810707726414120269015573780288763810863473616207739850531080270352740566140337863008920778971832611131426476948682150186984153305505953531498093207519904436590140491618603543008527661341206438519392636399231920980911106684352978510923508646439345618}
19089   8396684144968657959702787580508757203769498439819795924316468925916328: {38174,286215,305296,343458,400659,476975,572370,610528,686844,743847,972519,1049015,1258818,1735279,1869154,2478970,2670220,2936626,2974764,3204264,3604797,3814600,4134067,4163847,4195180,4291425,4473695,4577520,4882688,5034216,5043215,5149710,5368434,5493024,5663493,5905810,6051858,6092259,6179652,6431847,6749615,6877411,7086972,7223379,7475048,7734706,7885415,7900899,8099538,8409429,8585687,9462498,9478419,9713599,9815847,9839027,10011225,10678640,11049580,11392498,11460274,11918125,12013470,12306946,12697679,12814368,12842979,12978695,13259496,13264607,13683859,13876570,14301750,14416164,14476399,14916933,15255200,15574434,15795695,15963747,16005071,16358015,16371820,16519047,16556839,16651884,17162100,17627847,17834194,18306240,18313594,18894946,18954834,18955239,19070039,19279612,19526656,19548370,19629618,19646184,20594520,20609619,20680570,20939847,21015106,21276658,21586579,21854476,21967488,22022956,22031431,22101957,22425586,22934207,23168835,23176847,23458044,23932519,24713424,24816684,25044796,25104039,25404847,25477420,25914719,26418215,26757586,26836306,26992780,27302627,27802602,27824739,28019266,28041747,28421554,29192015,29438899,30021580,30154618,30243319,30422499,30572904,30837970,30992236,31220680,31285347,31608519,31701858,32391336,32510711,32899047,33060215,34394517,34739507,34967239,35030418,35123265,35576547,35778280,35790099,35812415,36006652,36025896,36063898,36110247,36420239,36430179,36440253,36614927,37005564,37175847,37212131,37464816,37644776,38337580,38613679,39424666,39617619,39672258,40076647,40129996,40250565,40358247,40501186,40529133,40574092,40602220,41625159,41957548,42055570,42147918,42350373,42467847,42618178,42933936,42974898,42992818,43168594,43470695,43728999,44218594,45405159,45645815,46005096,46008165,46479571,46658099,46658247,46866759,47179347,47881996,47890066,48300678,48376546,48427539,48722664,49075376,49527731,49823098,50466684,50688658,51016839,51030892,51262279,51755733,51842247,52057594,52136615,52164834,52563219,54104199,54276412,54278611,54678499,54719079,54771625,54774978,54812997,54993967,55209798,55392226,55458079,55530911,55581959,55739026,56252499,56417479,57673306,58101527,58331884,59109815,59201799,59556247,59724885,59809479,60820359,61031212,61669420,62089319,62533347,62562994,62563938,62572954,62839415,63154065,63169420,63562786,63706544,64186978,64828559,64910419,65346226,65539347,65725950,66835239,67332579,67364336,67822018,68136815,68325459,68414380,68663848,69139447,69181391,69216999,69497596,69513747,70107680,70151692,70214767,70265698,70772015,70931778,71321768,71496227,71669862,72591059,72873695,72918034,72959847,73921331,73958745,73959059,74003304,74473714,74621279,74813277,75081928,75407298,75492695,75598179,75605731,75695559,75784878,75803304,76264108,76584364,77064274,77153379,77219194,77246829,77749567,78459527,78509139,78528178,78562810,78605799,78871140,78889328,79419251,79627180,80144818,80236989,80564584,80686354,81498067,81521971,81714431,81764178,82097256,82356819,82993939,83253717,83789799,84129216,84316012,84361479,84467169,84837219,84926418,85278717,85362815,85495439,85692039,85924965,85986119,86394215,86568556,86882866,86961778,87112419,87206919,87448434,88046125,88339047,88427836,88429474,88527399,88621539,88682405,88750494,89063425,89091879,89372999,89901669,90591234,90635157,90803980,91154247,91434579,91519666,91653296,92359413,92687884,92729170,92739939,92783459,94275372,94406807,94645368,94721788,94836844,95511827,95520225,95521299,95552616,96147394,96402319,96662092,96903879,96995859,97130146,97269559,97635058,98358419,98578879,98658695,98715496,98907559,99165215,99227506,99282280,99715666,...,836649934156337096066724685534681297654445902089862954843993764425760480204868953377935348214538810268746426643787791683187332124466114143891164785911480644001845996426741222155298098781389308844376092402299699624959475045700836978977713458857032041755776860892101694463940235813885030750490007682729979139776838256169749174388471693098377298623762194886107838157270314918106572806897393604856956758701137837242383840190443776677652391594213834124716092978641363935125005909994949960608416390727155575549153547092448373718984625098206265096128346651883591887622874477511805984591691556743543928068157436839597822248895446507267544338042448517305902443464019658319246837533195442233048681506636407202302915175654047343096095655808871407002864939259422859700463631705127587113943630559600684342072011882490128797909171614355165842265122889232247467193150284900502136681121577258456609862320234935215078640488772456856601600728818674567836143649309614554041047874669697311552180957384664040578688435973295302521830677743857526527942773607314475371219706928354276719624583175775190796770593358108913841399774341579438960485303710019682488881465959282808692072190519681350123392655101702723893560496771631865038045978341719267819069646209526224600857699518327246961553894666996117818011121795611353935549503080657286419741592774870074933616430097160822431486241657568483418070879108439112895133370649191097313967162348728810764363012544478325767640129528987613805341992088051943628169762803064931338679919448349554310975255826611421545721519412989778140345225796806991559696565374144026025338800427104968242156630190891954394575303929176282924978911189160443242213867168141098263057482404269478565899751440280291279704521503563034287881739826804533701848774239406981991120261676041163056857664374951649587982639303321743829448859814628398649992844118925313979130557682148109451605007006555627379635308869402817631318724529451620498432997594483069088733956275815004922551704795328995470298229113814015990765512186567246343123797437615417372363861258436927706920308677950458075365127576548977650230417279411214824604315132925943705900813904835339446565282285312498853517869729319904810951064389611031579724038381220874915066899188541176023714179284390222345891801773228675408898103589044626645349833191428720523201556487578699531224365591105607343123513633830855104188239217845177946183312875547794337244681257837578516057331702834265156869338134767619768058330843900795241309324135761598123240334243480410248876301240568935476968894819537923397770467543460262415681125407832297977544555312442752894858542700110597764304921902984337812240655807571797677977392479070998213556376186365694040786930579576128283634027869670457732369543069984904149039472174447349302871483915324010710021559037851062216061589621180403523360670433145716295210424311609775796620405529110849210506794513381168457748916697139715423023225280476229958258930297247139811279856654885210737427905314512791492011809657779088954598847881471366660026529467766385262969659018427}
19090   8430052741373707446380605679976928854401409388564622233260274552399755: {57261,209869,267134,324241,381620,457944,515187,534212,724622,763160,858555,915792,991796,1008961,1030266,1122829,1296692,1409774,1678424,1691089,1888227,2483629,2803731,3003422,3272641,3337775,3385069,3609709,3718455,3966352,4005330,4137422,4272352,4404939,4462146,4728589,4768250,4806396,5243975,5507521,5551796,5721900,5951041,6103360,6292770,6503821,6540667,6712288,6724429,6866280,7157912,7274689,7324032,7551324,7724565,7823149,8052651,8069144,8123012,8239536,8575796,8637422,8858715,9077787,9269478,9343810,9349261,9449296,9631172,10534532,10538449,10630458,10799384,10861261,11212572,11602059,11932621,12149307,12417134,12465601,12616664,12637892,13087796,13208749,13348300,13811975,13948369,14193747,14840654,14998849,15279422,15312589,15625681,16017960,16574370,17078209,17085824,17088747,17123972,17181421,17190411,17593549,17679328,18020205,18312001,18460419,18618829,18925009,19069000,19221552,19839661,19889244,19940929,20283854,20464775,20647789,20765912,20814855,21146414,21150529,21250861,21284996,21452625,21624246,22025396,22202512,22435934,22846381,22882800,23143489,23242381,23292734,23361651,23503796,24099515,24129169,24360494,24408320,24557730,24912529,24977826,25273112,25273652,25302481,25424654,25743150,26061422,26078929,26172824,26194912,26272321,26561869,26751291,27318095,27459360,27470391,27479492,27522349,27528695,27919796,27999889,28095181,28190401,28285549,28342419,28432251,28805774,28919418,29289984,29322555,29444427,29469276,29515921,30891780,31020855,31277392,31305995,31317422,31522659,31846775,31914987,31942094,32676289,32767981,32781714,32939179,32951232,32980334,33034434,33088912,33134029,33394622,33472052,33638379,33740975,33771841,34134721,35046014,35126701,35187066,35216449,35842669,35868254,36465361,37070136,37099652,37225026,37260781,37388996,37505822,37526975,37567194,38137741,38216130,38740295,39025850,39187907,40041709,40136379,40147214,40254459,40298641,40489170,40551422,40563332,40640209,40763872,40895629,41703903,41713796,41855047,42028899,42079021,42144692,42269144,42632331,42940954,42998929,43188448,43662481,43745101,43865396,44163374,44561822,44649169,44722850,44812609,45008315,45032370,45231927,45463489,45859356,46109761,46149854,46256955,46431169,46488354,46707224,46831020,46911121,46990861,47055970,47137694,47435396,47552787,47720132,47784301,47921975,48034528,48146996,48256909,48570541,48573572,48587004,48906734,49340752,49349581,49427089,49567796,49813549,49953088,50162495,50428141,50469422,50717615,50752775,50886061,50962129,52094509,52393741,52409822,52446935,52468369,52545627,52823492,52840429,52896344,53431981,53667420,53810996,53945809,54009978,54038844,54091969,54095847,54335822,55034989,55293422,55500212,55508346,55680721,55743226,55866254,55965841,56036941,56197224,56467164,56623796,56628014,56673601,57245248,57299864,57506370,57652369,57766334,58136461,58144622,58305332,58342849,58821901,58943794,59087822,59136999,59432641,59508387,59567569,59852495,60080867,60194994,60237889,60437581,60504001,60540212,60589454,60751779,60861138,60903330,61164241,61340128,61344220,61817281,61882189,61895822,62210996,62406547,62489012,62655469,62905796,62936322,63083355,63165229,63195134,63221877,63788615,63927267,63983761,64108609,64357441,64400904,64462347,64489227,64543309,64570052,64671422,64752891,64851649,64963552,65158189,65219281,65280301,65696687,66127021,66327891,66868574,67077421,67288912,67429069,67662061,67836049,67845515,68022452,68468461,68683694,69007644,69028162,69122996,69553112,69818029,69873361,70084292,70477261,70494011,70531729,70802989,70831618,71179729,71407787,71822994,71835099,72132289,72138932,72451017,72496429,72564819,72754369,72914855,72958772,73033304,73083996,73158494,73163329,73366081,73613064,73768129,73867921,73917709,74264209,74509549,74558401,74734647,75003332,75472909,75700026,75850189,76032987,76083649,76269121,76289015,76546338,77086775,77446609,77535169,77842861,78017101,78086391,78103789,78247251,78404929,78409454,78447661,78582254,78871021,78912961,78935732,78946439,78961775,79163089,79451629,79633180,79736641,79745972,79787822,79897921,80196634,80374849,80570509,81093812,81156974,81414618,81521809,81962449,82142989,82162467,82214701,82428109,82743361,82814697,82950289,83088339,83356369,83377796,83418584,83530814,83608539,83719501,83913901,84205420,84357421,84481549,84512401,84543181,84726349,85025869,85143661,85172929,85201787,85231249,85375789,85517975,85546861,85575121,85829810,85990381,86098381,86376059,86509959,86646481,86747281,86871995,87091009,87351181,87385796,87489421,87497826,87634600,87669709,87689615,87699614,87864494,88121041,88162369,88324801,88463149,88686734,88855739,88981261,89014622,89050669,89067841,89113652,89152210,89380429,89396161,89411821,89534509,89776772,89831822,89848141,90017089,90207187,90264301,90329101,90391309,90470221,90479761,90579949,90597229,90605761,90647341,90754189,90808909,90821869,90840769,90959569,90990061,91013389,91024081,91057741,91065409,91076749,91089601,91099969,91100612,91100941,91106989,91510859,91546818,92289332,92504130,92684996,92743934,93844491,93845907,93852410,93859431,94575704,94754130,95330135,95344179,95559816,95730455,95756731,96280467,96554174,96765071,97024622,97279796,98019339,98588925,98611660,98671072,99533975,99751036,...,1115533245541782794755632914046241730205927869453150606458658352567680640273158604503913797619385080358328568858383722244249776165954818858521553047881974192002461328568988296207064131708519078459168123203066266166612633394267782638636951278476042722341035814522802259285253647751846707667320010243639972186369117674892998899184628924131169731498349593181477117543027086557475430409196524806475942344934850449656511786920591702236869855458951778832954790638188485246833341213326599947477888520969540767398871396123264498291979500130941686794837795535844789183497165970015741312788922075658058570757543249119463762998527262009690059117389931356407869924618692877758995783377593922977398242008848542936403886900872063124128127541078495209337153252345897146267284842273503449485258174079467579122762682509986838397212228819140221123020163852309663289590867046534002848908162103011275479816426979913620104853985029942475468800971758232757114858199079486072054730499559596415402907943179552054104917914631060403362440903658476702037257031476419300494959609237805702292832777567700254395694124477478551788533032455439251947313738280026243318508621279043744922762920692908466831190206802270298524747329028842486717394637788959023758759528279368299467810266024436329282071859555994823757348162394148471914066004107543048559655457033160099911488573462881096575314988876757977890761172144585483860177827532254796418622883131638414352484016725971101023520172705316818407122656117402591504226350404086575118239892597799405747967007768815228727628692550653037520460301062409322079595420498858701367118400569473290989542173587855939192767071905568377233305214918880590989618489557521464350743309872359304754533001920373721706272695338084045717175653102406044935798365652542642654827015568054884075810219166602199450643519071095658439265146419504531533323792158567085305507410242864145935473342675407503172847078492537090175091632705935493997910663459310758784978608367753339896735606393771993960397638818418687987687349582089661790831729916820556496485148344582570275893744903933944100486836768731970200307223039214953099472420177234591607867751873113785928753709713749998471357159639093206414601419186148042106298717841627833220089198918054901364952239045853629794522402364304900545197471452059502193799777588571627364268741983438266041632487454807476457498018178441140138917652290460237261577750500730392449659575010450104688076442270445686875825784179690159690744441125201060321745765514348797497653778991307213665168401654091913969291859759383897863693956724613683220908167210443063970059407083257003859811390266814130352406562537312450416320874410095730237303189972094664284741834915154258721049240772768171044845370492893943643159390759979872198719296232596465737161978553765347613362078717134749621415452828240538031147560577527621726947232415479701062160540705481132280675726017841557943665222262852953897364300373968306611011907062996186415039808873180280983237207086017055322682412877038785272798463841961822213368705957021847017292878691236}
19091   8463552992477687829105682864796792544145021822321112650498610684344911: {76348,400701,477025,572430,610592,667765,686916,801318,953950,1086933,1144740,1221056,1239745,1373688,1468621,1487694,1545399,1620865,1945038,2098030,2114661,2307349,2517636,3470558,3738308,4505133,4957940,5340440,5873252,5949528,6007995,6077269,6206133,6263173,6408528,6693219,6939745,7060501,7152375,7209594,7448941,7629200,8268134,8327694,8390360,8582850,8947390,9004501,9155040,9439155,9449461,9765376,10068432,10086430,10146721,10153765,10299420,10719745,10736868,10986048,11039581,11326986,11627941,11811620,11974273,12038965,12103716,12184518,12359304,12863694,12956133,13168165,13499230,13573381,13754822,13904217,13911661,14012581,14015715,14173944,14446758,14825149,14846029,14950096,15469412,15770830,15797365,15801798,15945687,16195381,16199076,16359745,16511869,16685375,16818858,17108869,17171374,18170173,18625701,18924996,18956838,19427198,19631694,19678054,19716481,20022450,21085669,21313573,21357280,21404965,22099160,22113973,22260981,22331221,22784996,22901221,22919133,22920548,23580241,23836250,24026940,24613892,24861555,25395358,25628736,25632349,25685958,25795213,25957390,26518992,26529214,26606245,27367718,27531745,27701941,27753140,28603500,28832328,28842721,28952798,29216833,29280541,29379745,29833866,30425781,30510400,31148868,31591390,31592065,31719621,31927494,31954129,32010142,32266741,32436369,32576641,32716030,32743640,33038094,33113678,33303768,33612769,33653901,33918181,34324200,34349365,34743181,34752829,34899745,34939101,35255694,35668388,36540741,36612480,36627188,36836595,36985501,37260961,37466739,37627909,37789892,37909668,37910478,38136981,38140078,38401021,38559224,38614725,38850013,39053312,39092133,39096740,39259236,39292368,40704973,40868821,40906573,41055781,41189040,41219238,41361140,41840065,41879694,42030212,42553316,43173158,43208661,43379127,43708952,43794949,43934976,43977973,44045912,44062862,44203914,44851172,45682453,45868414,46284301,46337670,46353694,46374565,46736245,46916088,46976133,47530213,47865038,47913141,48969313,49172571,49426848,49470501,49551651,49633368,49942189,50089592,50091933,50137381,50208078,50489473,50704165,50809694,50954840,51829438,52142245,52402381,52569021,52680865,52780599,52836430,53515172,53672612,53802381,53985560,54605254,54831745,55247869,55605204,55649478,55837539,56038532,56083494,56258733,56350791,56630533,56843108,57292741,57324195,58384030,58515061,58532773,58538775,58877798,59294245,59347333,59360629,59650165,60043160,60183745,60220821,60309236,60486638,60550501,60716965,60733755,60827133,60844998,60858973,61145808,61675940,61959745,61984472,62121013,62441360,62570694,63217038,63312901,63396421,63403716,63904141,64411431,64782672,64835413,65021422,65698741,65798094,66029365,66045013,66120430,66245061,66371341,66842733,67084275,67263745,67548555,68265109,68287621,68665441,68789034,69224781,69375265,69479014,69480301,69732531,69934478,70060836,70246530,70583955,70706541,70779745,71153094,71556560,71580198,71624830,71908309,72013304,72051792,72127796,72220494,72556093,72840478,72860358,72880506,72881665,72991261,73229854,73360101,74011128,74351694,74424262,74929632,75011173,75289552,75544381,75675265,75704133,76675160,76680275,77227358,77763745,77964469,78111265,78614733,78632245,78849332,79235238,79344516,79381333,79978789,80013181,80153294,80259992,80501130,80712565,80716494,81002372,81014967,81058266,81148184,81204440,81503733,81656413,81723073,82111429,82286821,82393069,82753741,82811269,82940133,83250318,83262519,83400253,83614839,83799381,83915096,84000829,84111140,84295836,84495541,84700746,84935694,84942021,85028065,85236356,85867872,85949796,85985636,86008549,86259555,86337188,86363413,86379373,86403745,86625421,86649501,86941390,87216933,87349909,87361573,87457998,87605365,87975181,88415691,88437188,88515073,88631733,89335573,89774161,90173665,90292491,90810318,90818101,90884181,91198465,91291630,91291707,91354995,92010192,92016330,92843733,92959142,93316198,93316494,93733518,93754165,94358694,94404483,94792701,94816381,95391541,95763992,95780132,95890273,95928661,96102133,96601356,96753092,96855078,97007133,97445328,98150752,98202301,98669665,99055462,99080821,99225013,99541475,99602701,99646196,99682465,...,1673299868312674192133449371069362595308891804179725909687987528851520960409737906755870696429077620537492853287575583366374664248932228287782329571822961288003691992853482444310596197562778617688752184804599399249918950091401673957955426917714064083511553721784203388927880471627770061500980015365459958279553676512339498348776943386196754597247524389772215676314540629836213145613794787209713913517402275674484767680380887553355304783188427668249432185957282727870250011819989899921216832781454311151098307094184896747437969250196412530192256693303767183775245748955023611969183383113487087856136314873679195644497790893014535088676084897034611804886928039316638493675066390884466097363013272814404605830351308094686192191311617742814005729878518845719400927263410255174227887261119201368684144023764980257595818343228710331684530245778464494934386300569801004273362243154516913219724640469870430157280977544913713203201457637349135672287298619229108082095749339394623104361914769328081157376871946590605043661355487715053055885547214628950742439413856708553439249166351550381593541186716217827682799548683158877920970607420039364977762931918565617384144381039362700246785310203405447787120993543263730076091956683438535638139292419052449201715399036654493923107789333992235636022243591222707871099006161314572839483185549740149867232860194321644862972483315136966836141758216878225790266741298382194627934324697457621528726025088956651535280259057975227610683984176103887256339525606129862677359838896699108621950511653222843091443038825979556280690451593613983119393130748288052050677600854209936484313260381783908789150607858352565849957822378320886484427734336282196526114964808538957131799502880560582559409043007126068575763479653609067403697548478813963982240523352082326113715328749903299175965278606643487658897719629256797299985688237850627958261115364296218903210014013111254759270617738805635262637449058903240996865995188966138177467912551630009845103409590657990940596458227628031981531024373134492686247594875230834744727722516873855413840617355900916150730255153097955300460834558822429649208630265851887411801627809670678893130564570624997707035739458639809621902128779222063159448076762441749830133798377082352047428358568780444691783603546457350817796207178089253290699666382857441046403112975157399062448731182211214686247027267661710208376478435690355892366625751095588674489362515675157032114663405668530313738676269535239536116661687801590482618648271523196246480668486960820497752602481137870953937789639075846795540935086920524831362250815664595955089110624885505789717085400221195528609843805968675624481311615143595355954784958141996427112752372731388081573861159152256567268055739340915464739086139969808298078944348894698605742967830648021420043118075702124432123179242360807046721340866291432590420848623219551593240811058221698421013589026762336915497833394279430846046450560952459916517860594494279622559713309770421474855810629025582984023619315558177909197695762942733320053058935532770525939318036854}
19092   8497185413983968483150835201012466328696448888180449840808493020395893: {95435,114522,209891,248027,362387,419738,438587,534268,648482,763240,781091,858645,915888,1030374,1068424,1160891,1201977,1430925,1449244,1502027,1526320,1577747,1717110,1831584,1983592,2017922,2060532,2144627,2231541,2245658,2593384,2819548,2917557,3147045,3272987,3356848,3382178,3385427,3422891,3647507,3776454,4207787,4394147,4672885,4967258,5205837,5607462,6006844,6197425,6541307,6545282,6675550,6770138,6982187,7092227,7219418,7341565,7436910,7495091,7860491,7932704,8010660,8042891,8274844,8544704,8809878,8924292,9277907,9457178,9458747,9536500,9612792,10487950,10539587,10575491,10814391,11015042,11077307,11103592,11443800,11648891,11827091,11902082,12040667,12147347,12206720,12402201,12491541,12585540,12715091,12874275,13007642,13081334,13421085,13424576,13448858,13562867,13732560,13774091,14315824,14549378,14648064,14764525,15035387,15102648,15129645,15314267,15449130,15646298,15662147,15731627,16043891,16105302,16138288,16246024,16479072,16562891,16990479,17151592,17274844,17595491,17717430,18155574,18276777,18538956,18620891,18654947,18687620,18698522,18898592,18927107,18961091,19262344,19295541,19336765,19841867,20248845,20632233,20683667,20851427,20985491,21069064,21076898,21152891,21260916,21487091,21598768,21670137,21722522,21953627,22425144,23146091,23179067,23204118,23656245,23702697,23865242,24298614,24834268,24915347,24931202,25142987,25228287,25233328,25275784,25305347,25757061,26114147,26175592,26275307,26417498,26564891,26696600,26757587,27238067,27623950,27716747,27896738,28003091,28130147,28320491,28387494,28435257,28481245,28650685,29140797,29447541,29517081,29550707,29681308,29707547,29997698,30033675,30083147,30208091,30488747,30558844,30625178,30767365,31141091,31251362,32035920,32066891,32496467,32680091,33148740,33168347,33739321,34078307,34156418,34168907,34171648,34177494,34247944,34362842,34380822,34691425,34771067,35130827,35187098,35358656,35399891,35668307,35754375,35846891,35876627,36040410,36114227,36587891,36624002,36920838,37206467,37237658,37353227,37470491,37850018,38093037,38138000,38171387,38245333,38345891,38443104,38528937,38540173,38936085,39098747,39358091,39679322,39778488,39793821,39881858,39903467,39960707,40046507,40567708,40645091,40900547,40929550,41051577,41098787,41295578,41531824,41629710,41915891,42028067,42292828,42301058,42501722,42569992,42905250,43248492,43429197,43695347,43798249,43828393,43860491,44050792,44405024,44408891,44585485,44654627,44681891,44750799,44871868,44981267,45496091,45692762,45765600,45783985,45873587,46195907,46286978,46312981,46436891,46484762,46585468,46723302,46996667,47007592,47076347,47237365,47387085,47658467,47891241,48015213,48199030,48258338,48289091,48524387,48576587,48720988,48816640,48870925,49074045,49115460,49557141,49670517,49819787,49825058,49845491,49955652,50459987,50546224,50547304,50604962,50740091,50849308,50892467,51486300,51701425,52122844,52126091,52157858,52345648,52350587,52389824,52499891,52537765,52544642,52648907,52847147,52871891,52883541,53123738,53191645,53502582,53512427,53952707,54123227,54236413,54463091,54636190,54704891,54918720,54940782,54958984,54969947,55044698,55057390,55066091,55544891,55839592,55999778,56063965,56138891,56190362,56380802,56571098,56684838,56845091,56864502,56865717,56962091,57055547,57172187,57210117,57335147,57611548,57659891,57838836,57867827,58029107,58144067,58350491,58373387,58487747,58579968,58645110,58693091,58888854,58938552,59031842,59462987,59597891,59732507,60379091,60578387,61238027,61783560,61828857,62041667,62041710,62554784,62557091,62611990,62634844,62819541,62983091,63011641,63045318,63194891,63300491,63693550,63829974,63884188,64013267,64737347,64759737,64880987,65289227,65352578,65535962,65563428,65878358,65902464,65960668,66068868,66094293,66156107,66177824,66268058,66305871,66692867,66789244,66893965,66944104,67086707,67090765,67276758,67379987,67481950,67543682,67555091,67671467,67864787,68134091,68269442,68497067,68592107,68802621,69270491,69506505,69530541,69716987,69846347,69938507,70048165,70092028,70227493,70253402,70374132,70432898,70541747,70559891,70650491,70992947,71004661,71053885,71189891,71685338,71736508,71797557,71985491,72055427,72142667,72316547,72524147,72764891,72930722,73123067,73376747,73425709,73778891,73928507,74044427,74140272,74199304,74291507,74450052,74521562,74585627,74764091,74777992,75011644,75053950,75134388,75309587,75312117,75386545,75736187,75877091,75955091,76214541,76275482,76280507,76418891,76432260,76935827,76965947,77094925,77101091,77413907,77473091,77480590,77744157,78051700,78375814,78756827,78855107,79175267,79189091,79254645,79340627,79477547,79600091,79748987,79923707,79950467,80083418,80272758,80294428,80348027,80387387,80400491,80508918,80596091,80597282,80660891,80777027,80930867,80978340,81096227,81102844,81126664,81159467,81280418,81360491,81527744,81547091,81682787,81731891,81791258,81793091,81907881,82156091,82168067,82334891,82558787,82791347,82906427,82975091,83032091,83134187,83381027,83407806,83427592,83474217,83536091,83602067,83710094,83711387,83744027,83793493,83809091,84057798,84125241,84158042,84289384,84381707,84391021,84538288,84557147,84598091,84740387,84861107,85245491,85264662,85390091,85428347,85757627,85868267,85881908,85997858,86121947,86299307,86376896,86490707,86567891,86770547,86935907,87106091,87233387,87296267,87324962,87350867,87420491,87490202,87527507,87576045,87602987,87647891,87714707,87730792,87802787,87868091,88053107,88219091,88259867,88316697,88326748,88347227,88478987,88524347,88763747,89003267,89123644,89298338,89304061,89338547,89396891,89402147,89445700,89556107,89600891,89625218,89702867,89726627,89740787,89878427,89948891,90016630,90064740,90159745,90159827,90285227,90346427,90398507,90463854,90509891,90537827,90574067,90597587,90600491,90626267,90640307,90729957,90737987,90745427,90750347,90760091,90772091,90826907,90829091,90842027,90926978,90970091,90977891,91012547,91020491,91033091,91055891,91070891,91076387,91084907,91087307,91095491,91105667,91108427,91112891,91118891,91119227,91120787,91121627,91123091,91267497,91718712,92219522,92299708,92513910,92862338,92976708,93300337,93414448,93662040,93822242,93856041,93981722,94111940,94275388,94825557,94870792,94983721,95105574,95440264,95568602,95843950,96069056,96293992,96513818,97141082,97147144,97174008,97532133,97813468,98561665,98681504,98697141,98699162,98854178,99135592,99180645,99627098,99906176,...,2509949802469011288200174056604043892963337706269588864531981293277281440614606860133806044643616430806239279931363375049561996373398342431673494357734441932005537989280223666465894296344167926533128277206899098874878425137102510936933140376571096125267330582676305083391820707441655092251470023048189937419330514768509247523165415079295131895871286584658323514471810944754319718420692180814570870276103413511727151520571331330032957174782641502374148278935924091805375017729984849881825249172181466726647460641277345121156953875294618795288385039955650775662868623432535417953775074670230631784204472310518793466746686339521802633014127345551917707330392058974957740512599586326699146044519909221606908745526962142029288286967426614221008594817778268579101390895115382761341830891678802053026216035647470386393727514843065497526795368667696742401579450854701506410043364731775369829586960704805645235921466317370569804802186456023703508430947928843662123143624009091934656542872153992121736065307919885907565492033231572579583828320821943426113659120785062830158873749527325572390311780074326741524199323024738316881455911130059047466644397877848426076216571559044050370177965305108171680681490314895595114137935025157803457208938628578673802573098554981740884661684000988353454033365386834061806648509241971859259224778324610224800849290291482467294458724972705450254212637325317338685400111947573291941901487046186432293089037633434977302920388586962841416025976264155830884509288409194794016039758345048662932925767479834264637164558238969334421035677390420974679089696122432078076016401281314904726469890572675863183725911787528848774936733567481329726641601504423294789172447212808435697699254320840873839113564510689102863645219480413601105546322718220945973360785028123489170572993124854948763947917909965231488346579443885195949978532356775941937391673046444328354815021019666882138905926608208452893956173588354861495298992783449207266201868827445014767655114385986986410894687341442047972296536559701739029371392312846252117091583775310783120760926033851374226095382729646932950691251838233644473812945398777831117702441714506018339695846855937496560553609187959714432853193168833094739172115143662624745200697565623528071142537853170667037675405319686026226694310767133879936049499574286161569604669462736098593673096773316822029370540901492565312564717653535533838549938626643383011734043773512735548171995108502795470608014404302859304174992531702385723927972407284794369721002730441230746628903721706806430906684458613770193311402630380787247043376223496893932633665937328258684575628100331793292914765708953013436721967422715393033932177437212994640669128559097082122360791738728384850902083609011373197108629209954712447118416523342047908614451745972032130064677113553186648184768863541210570082011299437148885631272934829327389861216587332547631520383540143505373246750091419146269069675841428689874776790891741419433839569964655632212283715943538374476035428973337266863796543644414099980079588403299155788908977055281}
19093   8530950523601433088769912898540850869423617796048588471441044891454876: {152696,171783,629607,667835,801402,934871,954050,972723,1144860,1221184,1335530,1373832,1545561,1602636,1735643,1811555,1907900,2173866,2269211,2289480,2442112,2479490,2575665,2726867,2747376,2937242,2975388,3026883,3090798,3241730,3368487,3524435,3890076,4196060,4229322,4614698,5035272,5073267,5664681,6496391,6941116,7182227,7450887,7476616,7508555,8325287,8411193,9010266,9715643,9817923,9915880,10013325,10155207,10343555,10641683,10680880,10829127,11155365,11746504,11899056,11920625,12015990,12154538,12412266,12526346,12817056,13214817,13383011,13386438,13879490,14121002,14185767,14215271,14304750,14419188,14897882,15007643,15258400,15264227,15548327,15731925,16522563,16536268,16560323,16655388,16780720,16854551,17165700,17545307,17853123,17894780,18009002,18288791,18310080,18435431,18878310,18898922,19511463,19514027,19530752,19622001,20136864,20172860,20173287,20293442,20307530,20598840,21439490,21473736,21503207,21593555,21651251,21824067,21972096,22036067,22079162,22116311,22653972,22748627,22903643,23173695,23255882,23359525,23469447,23623240,23948546,24077930,24157953,24207432,24369036,24718608,24919427,25727388,25912266,26336330,26354387,26391443,26576145,26669627,26998460,27146762,27233361,27509644,27808434,27823322,28025162,28031430,28047783,28347888,28893516,29650298,29692058,29900192,29966951,30249683,30938824,31042835,31231787,31296371,31541660,31594730,31603596,31615347,31891374,32390762,32398152,32583783,32719490,33023738,33056651,33221723,33370750,33512867,33637716,33921767,34217738,34342748,34806177,35797863,35930891,36340346,36409187,36447921,37101635,37248743,37251402,37396803,37849992,37913676,38198555,38544443,38854396,39263388,39356108,39432962,39626247,40044900,40085123,41060123,41131643,41435925,41845107,42171338,42328763,42581241,42627146,42714560,42809930,44198320,44227946,44228891,44469347,44521962,44662442,44996547,45569992,45719111,45802442,45838266,45841096,45937767,46261127,46877043,47160482,47672500,48053880,48089111,48832967,48859643,49227784,49723110,50494811,50709635,50790716,51234627,51257472,51264698,51266241,51371916,51544263,51571233,51590426,51757667,51914780,52346507,52407923,52780647,52866035,53037984,53058428,53212490,54060615,54735436,54936003,55063490,55381257,55403882,55506280,55856487,56089835,56429411,56775027,56804147,57207000,57664656,57685442,57905596,57942887,58231835,58266083,58433666,58561082,58567367,58576091,58759490,59022587,59518983,59667732,59764871,59822787,60536087,60851562,60901235,61020800,61359107,61394325,61453547,61943367,62297736,62444565,63182780,63184130,63439242,63451587,63561635,63752583,63854988,63908258,64020284,64357875,64533482,64872738,64924391,65096363,65153282,65153555,65430743,65432060,65487280,65705687,66076188,66227356,66607536,67225538,67307802,67373123,67709603,67836362,68043851,68283827,68294843,68539143,68648400,68698730,69154163,69430467,69486362,69505658,69727143,69799490,69878202,70084953,70511388,70985831,71336776,71559683,72014435,72298545,72387507,72999143,73081482,73224960,73254376,73673190,73753211,73971002,74521922,74737587,74923043,74933478,75255818,75579784,75819336,75820956,75907443,76273962,76280156,76413251,76764443,76802042,77118448,77229450,77700026,78106624,78184266,78193480,78236787,78293555,78518472,78584736,78816963,79685607,79855235,80253873,80676947,81409946,81737642,81813146,81954285,82111562,82113083,82378080,82411173,82438476,82450835,82567047,82586085,82722280,82820027,83011943,83486555,83510231,83680130,83759388,83916263,83999667,84060424,84257243,84285543,84424427,84571203,84856647,84982547,85003751,85027257,85106632,85106951,85296753,86346316,86417322,86419091,86743643,86758254,87359147,87417904,87589898,87615035,87869952,87955946,87967665,88091824,88125724,88333281,88407828,88522391,88547763,89279723,89670635,89702344,90413123,91364906,91522727,91736828,92139827,92441111,92568602,92675340,92707388,92749130,93062565,93472490,93764555,93832176,93917985,93952266,94169243,94520387,94567977,95060426,95496647,95540325,95730076,95744961,95826282,95900411,96816647,97125371,97290131,97373627,97564625,97938626,98028867,98303943,98345142,98817537,98853696,98928611,98941002,99091643,99103302,99266736,99273707,99402087,99884378,...,3346599736625348384266898742138725190617783608359451819375975057703041920819475813511741392858155241074985706575151166732749328497864456575564659143645922576007383985706964888621192395125557235377504369609198798499837900182803347915910853835428128167023107443568406777855760943255540123001960030730919916559107353024678996697553886772393509194495048779544431352629081259672426291227589574419427827034804551348969535360761775106710609566376855336498864371914565455740500023639979799842433665562908622302196614188369793494875938500392825060384513386607534367550491497910047223938366766226974175712272629747358391288995581786029070177352169794069223609773856078633276987350132781768932194726026545628809211660702616189372384382623235485628011459757037691438801854526820510348455774522238402737368288047529960515191636686457420663369060491556928989868772601139602008546724486309033826439449280939740860314561955089827426406402915274698271344574597238458216164191498678789246208723829538656162314753743893181210087322710975430106111771094429257901484878827713417106878498332703100763187082373432435655365599097366317755841941214840078729955525863837131234768288762078725400493570620406810895574241987086527460152183913366877071276278584838104898403430798073308987846215578667984471272044487182445415742198012322629145678966371099480299734465720388643289725944966630273933672283516433756451580533482596764389255868649394915243057452050177913303070560518115950455221367968352207774512679051212259725354719677793398217243901023306445686182886077651959112561380903187227966238786261496576104101355201708419872968626520763567817578301215716705131699915644756641772968855468672564393052229929617077914263599005761121165118818086014252137151526959307218134807395096957627927964481046704164652227430657499806598351930557213286975317795439258513594599971376475701255916522230728592437806420028026222509518541235477611270525274898117806481993731990377932276354935825103260019690206819181315981881192916455256063963062048746268985372495189750461669489455445033747710827681234711801832301460510306195910600921669117644859298417260531703774823603255619341357786261129141249995414071478917279619243804257558444126318896153524883499660267596754164704094856717137560889383567207092914701635592414356178506581399332765714882092806225950314798124897462364422429372494054535323420416752956871380711784733251502191177348978725031350314064229326811337060627477352539070479072233323375603180965237296543046392492961336973921640995505204962275741907875579278151693591081870173841049662724501631329191910178221249771011579434170800442391057219687611937351248962623230287190711909569916283992854225504745462776163147722318304513134536111478681830929478172279939616596157888697789397211485935661296042840086236151404248864246358484721614093442681732582865180841697246439103186481622116443396842027178053524673830995666788558861692092901121904919833035721188988559245119426619540842949711621258051165968047238631116355818395391525885466640106117871065541051878636073708}
19094   8564848841052222660380839079676036217125795351132147419587940928567223: {133609,190870,229044,248053,419782,496054,724774,819193,839476,877174,1068536,1202103,1296964,1431075,1526480,1562182,1717290,1831776,2003295,2060748,2136848,2321782,2384875,2403954,2861850,2898488,3004054,3052640,3155494,3260799,3423253,3434220,3663168,3719235,3967184,4035844,4121064,4289254,4405863,4463082,4491316,4636197,4862595,5186768,5245075,5639096,5767609,5835114,6294090,6321109,6343983,6542039,6545974,6713696,6764356,6770854,6845782,6922047,7295014,7552908,8080213,8415574,8517109,8676395,8788294,9345770,9934516,10037173,10278191,10411674,10576633,10684309,11114293,11214924,11328853,11863993,12013688,12184213,12394850,13082614,13090564,13351100,13352809,13515399,13540276,13964374,14184454,14407609,14438836,14683130,14873820,14990182,15720982,15865408,15976309,16021320,16080313,16085782,16549688,17089408,17528809,17619756,17848584,18023985,18042709,18231807,18555814,18618399,18657013,18789519,18914356,18917494,18963193,19073000,19225584,20079657,20080309,20181433,20670335,20819235,20975900,20987833,21079174,21150982,21181503,21457125,21628782,21689653,21989353,22030084,22154614,22207184,22346823,22368475,22887600,23181673,23297782,23654182,23804164,24081334,24294694,24413440,24461653,24804402,24983082,25171080,25216075,25430182,25748550,25923433,26015284,26162668,26842170,26849152,26897716,27013503,27071471,27081193,27125734,27465120,27548182,27942709,28317465,28348383,28418809,28631648,28987753,29098756,29296128,29459893,29529050,30070774,30205296,30259290,30398773,30440163,30461295,30628534,30772309,30898260,31144693,31292596,31324294,31463254,32087782,32159235,32210604,32276576,32492048,32958144,33118743,33125782,33748075,33980958,33991609,34303184,34387055,34444309,34549688,34883823,34985173,35190982,35433913,35434860,35880853,35922819,36116895,36148153,36311148,36553554,37077912,37241782,37309894,37375240,37397044,37797184,37854214,37913593,37922182,38524688,38591082,38673530,38868399,39305209,39427075,39504495,39683734,39873743,40110959,40497690,40593109,40720143,41264466,41367334,41702854,41712651,41734983,41780533,41970982,42037743,42047145,42138128,42153796,42305782,42521832,42928435,42974182,43074311,43120309,43197536,43340274,43445044,43535209,43907254,43948309,44030713,44441653,44475447,44538087,44687353,44850288,46292182,46358134,46408236,47312490,47392095,47405394,47664373,47730484,47837061,48567995,48586143,48597228,48765109,49077013,49079235,49195135,49535607,49668536,49830694,49851733,49862404,50056125,50285974,50456574,50466656,50551568,50610694,50619253,50695609,51076309,51326607,51514122,51757033,51761567,52207609,52228294,52351184,52550614,52834996,52878613,53129782,53393200,53515174,53764213,54476134,54510519,54711913,54733523,55247900,55433494,55575913,55793476,55877103,56006182,56260294,56287993,56640982,56774988,56870514,56962490,57301370,57342613,58281594,58381033,58723573,58895082,58996309,59034162,59101414,59149443,59335609,59362616,59415094,59590625,59995396,60067350,60166294,60409273,60416182,60608533,60977494,61117688,61250356,61534730,61595113,62282182,62419679,62502724,63012793,63257007,63330133,63488395,63582709,63896809,63940719,64071840,64097579,64133782,64209109,64214895,64271353,64893475,64992934,65073973,65360182,66132311,66285013,66297480,66323035,66336694,66341919,66583273,66782943,66993663,67233109,67291753,67478642,68156614,68312836,68337814,68343296,68354988,68419295,68495888,68620693,68703663,68725684,68734453,68757399,68761644,69382850,69542134,70021993,70261654,70351609,70374196,70569913,70678633,70717312,70740723,70799782,71336614,71508750,71693782,71753254,72080820,72228454,72381995,73175782,73248004,73552871,73841676,74005609,74055253,74412934,74468303,74475316,74584665,74706454,74791273,74940982,74984809,75225109,75416053,75700036,75981973,76186074,76214713,76276000,76342774,76490666,76691782,76886208,76897047,77057874,77080346,77306809,77385639,77872170,78011833,78197494,78489551,78716182,78978475,79201273,79358644,79407733,79556976,79587642,79763716,79806934,79818735,79921414,80025355,80093014,80413033,80841109,81070933,81135416,81222709,81290182,81744853,81790075,81801094,81859100,82103154,82145209,82181173,82197574,82324309,82501609,82591156,82595235,82677109,82784195,82816213,82885333,83056873,83063648,83105823,83259420,83560693,83822773,83831782,84048313,84056134,84585656,84602116,84642709,84945109,85003444,85139984,85669609,85810500,86322793,86496984,86505493,86528163,86608309,86858394,86860309,86983609,87319273,87366073,87390694,87596498,87650499,87656786,87720982,87841623,87883573,88101584,88139235,88540213,88636153,88785913,88810048,88817782,89054293,89170970,89306473,89309254,89363782,89418613,89496553,89501598,89743736,89899753,89926393,89962534,89978809,90104809,90176953,90212053,90324373,90489109,90527413,90618133,90847093,90968809,90992182,91015609,91072309,91075513,91122709,91132213,91138153,91145209,91277343,91385524,91531200,91567970,91747174,92391814,92573956,92625962,92873782,92969524,93170936,93446604,93651551,93927071,93993334,94015184,94152694,94412791,94474730,94774170,94776195,95158863,95316934,95350195,95782482,95862387,96030426,96398060,96516676,96578182,96800223,97048774,97153174,97309107,97441976,97633280,97729923,97741850,98067431,98148090,98230920,99114282,99341034,99475439,99639574,99650116,99690982,99734843,99911304,...,5019899604938022576400348113208087785926675412539177729063962586554562881229213720267612089287232861612478559862726750099123992746796684863346988715468883864011075978560447332931788592688335853066256554413798197749756850274205021873866280753142192250534661165352610166783641414883310184502940046096379874838661029537018495046330830158590263791742573169316647028943621889508639436841384361629141740552206827023454303041142662660065914349565283004748296557871848183610750035459969699763650498344362933453294921282554690242313907750589237590576770079911301551325737246865070835907550149340461263568408944621037586933493372679043605266028254691103835414660784117949915481025199172653398292089039818443213817491053924284058576573934853228442017189635556537158202781790230765522683661783357604106052432071294940772787455029686130995053590737335393484803158901709403012820086729463550739659173921409611290471842932634741139609604372912047407016861895857687324246287248018183869313085744307984243472130615839771815130984066463145159167656641643886852227318241570125660317747499054651144780623560148653483048398646049476633762911822260118094933288795755696852152433143118088100740355930610216343361362980629791190228275870050315606914417877257157347605146197109963481769323368001976706908066730773668123613297018483943718518449556649220449601698580582964934588917449945410900508425274650634677370800223895146583883802974092372864586178075266869954605840777173925682832051952528311661769018576818389588032079516690097325865851534959668529274329116477938668842071354780841949358179392244864156152032802562629809452939781145351726367451823575057697549873467134962659453283203008846589578344894425616871395398508641681747678227129021378205727290438960827202211092645436441891946721570056246978341145986249709897527895835819930462976693158887770391899957064713551883874783346092888656709630042039333764277811853216416905787912347176709722990597985566898414532403737654890029535310228771973972821789374682884095944593073119403478058742784625692504234183167550621566241521852067702748452190765459293865901382503676467288947625890797555662235404883429012036679391693711874993121107218375919428865706386337666189478344230287325249490401395131247056142285075706341334075350810639372052453388621534267759872098999148572323139209338925472197187346193546633644058741081802985130625129435307071067677099877253286766023468087547025471096343990217005590941216028808605718608349985063404771447855944814569588739442005460882461493257807443413612861813368917227540386622805260761574494086752446993787865267331874656517369151256200663586585829531417906026873443934845430786067864354874425989281338257118194164244721583477456769701804167218022746394217258419909424894236833046684095817228903491944064260129354227106373296369537727082421140164022598874297771262545869658654779722433174665095263040767080287010746493500182838292538139351682857379749553581783482838867679139929311264424567431887076748952070857946674533727593087288828199960159176806598311577817954110562}
19095   8598880888079508254979895440758847606635943651410272490389845300952907: {286305,305392,343566,629673,744081,934969,1049345,1087161,1259214,1315761,1335670,1602804,1621205,1869742,1908100,1945446,2289720,2307833,2343273,2442368,2536177,2575935,2671060,2747664,3091122,3205272,3222661,3471286,3482673,3605931,3623110,3815800,4292775,4347732,4506081,4538422,4578960,4733241,4884224,4934209,4958980,5044805,5151330,5453734,5494752,5614145,5874484,5950776,6053766,6181596,6433881,6483460,6694623,6736974,7048870,7677553,7780152,8392120,8455445,8458644,8752671,9229396,9441135,9818961,9842129,10070544,10146534,10156281,10268673,10511977,10942521,11095073,11329362,12418145,12623361,12992782,13182441,13268789,13882232,14018655,14364454,14480977,14849153,14901774,14953232,15017110,15205769,15617511,16010117,16363205,16650574,16688875,16822386,16925345,17347913,17946233,18020532,18039541,18048545,18592275,19431286,19623921,19635846,19831760,20026650,20310414,20687110,20946561,21276681,21283366,21361760,21658254,22024695,22310730,22485273,23493008,23581473,23642945,23798112,23841250,24031980,24128673,24198457,24309076,24824532,25052692,25412881,25634112,25800641,26219875,26429634,26766022,26772876,26884741,27537605,27758980,27833721,28242004,28371534,28376241,28430542,28553129,28609500,28838376,29222981,29755205,29795764,30015286,30230977,30516800,30528454,31028633,31096654,31463850,31618761,31726473,31960853,32443173,32519105,32703335,33045126,33072536,33120646,33231921,33310776,33561440,33622145,33709102,34331400,34750529,34946673,34978297,35090614,35147641,35481273,35706246,35789560,35987633,36018004,36122001,36373445,36442041,36577582,36620160,36870862,37130161,37206603,37474623,37756620,37797844,38145273,38622825,39022926,39028054,39061504,39115745,39244002,40089361,40263255,40273728,40345720,40346574,40586884,40615060,40688601,41197680,41289173,41322273,41973209,42194969,42878980,42947472,43006414,43187110,43302502,43459969,43648134,43944192,44072134,44158324,44232622,44293575,45106161,45307944,45388935,45497254,45807286,45942801,46347390,46511764,46719050,46746305,46938894,46986441,47194881,47246480,47897092,48131673,48155860,48315906,48414864,48738072,49274441,49437216,49688673,49838854,50971437,51454776,51824532,51942289,52672660,52692245,52708774,52782886,52786473,53152290,53339254,53477977,53688329,53996920,54293524,54306305,54466722,54672241,54830331,55019288,55475617,55616868,55646644,55862673,55964841,56050324,56062860,56095566,56435377,56695776,56781321,56883273,57509657,57787032,57886623,58010295,58120073,58573561,58829777,59300596,59384116,59525601,59575081,59663105,59800384,59933902,60499366,60746535,61877648,61896699,62051001,62085670,62328005,62463574,62554281,62592742,62956473,63083320,63189460,63207192,63230694,63458673,63782748,64222433,64451281,64461273,64781524,64796304,65010411,65167566,65438980,65860881,66043745,66047476,66113302,66443446,66741500,67025734,67275432,67843534,68435476,68685496,69059875,69438273,69537201,69612354,69741845,70598533,70968735,70993489,71108091,71595726,71861782,72680692,72732473,72818374,72895842,74012449,74203270,74497486,74502804,74746041,74793606,74994245,75199121,75428961,75684861,75699984,75827352,75916041,76397110,76542857,76562945,77088886,77271183,77708792,78128405,78342441,78525769,78526776,78712216,78787313,78825921,78865924,79252494,79305497,79694673,80089800,80170246,80272761,81524569,81714201,81740357,82120246,82263286,82871850,83120489,83150241,83400641,83690214,84009273,84342676,84390441,84657526,84961473,85162482,85254292,85261729,85305771,85391045,85429120,85443735,85619860,85907105,85952055,87422391,87967745,88342623,88396640,88455892,88457782,88531753,88551243,88652121,88938694,88986289,89043924,89122641,89324884,89793269,89941409,89993094,90101025,90249441,90624273,91139984,91214977,91438222,91466241,91527857,91560005,91604884,91676532,91682192,91875534,92302095,92522254,93094145,93423273,93754086,94320964,94625045,95345000,95635529,96107760,96178222,96200673,97300417,97489401,97665934,97719286,98040273,98455568,99198305,99446220,99490697,99505041,99704645,...,7529849407407033864600522169812131678890013118808766593595943879831844321843820580401418133930849292418717839794090125148685989120195027295020483073203325796016613967840670999397682889032503779599384831620697296624635275411307532810799421129713288375801991748028915250175462122324965276754410069144569812257991544305527742569496245237885395687613859753974970543415432834262959155262076542443712610828310240535181454561713993990098871524347924507122444836807772275416125053189954549645475747516544400179942381923832035363470861625883856385865155119866952326988605870297606253861325224010691895352613416931556380400240059018565407899042382036655753121991176176924873221537798758980097438133559727664820726236580886426087864860902279842663025784453334805737304172685346148284025492675036406159078648106942411159181182544529196492580386106003090227204738352564104519230130094195326109488760882114416935707764398952111709414406559368071110525292843786530986369430872027275803969628616461976365208195923759657722696476099694717738751484962465830278340977362355188490476621248581976717170935340222980224572597969074214950644367733390177142399933193633545278228649714677132151110533895915324515042044470944686785342413805075473410371626815885736021407719295664945222653985052002965060362100096160502185419945527725915577777674334973830674402547870874447401883376174918116350762637911975952016056200335842719875825704461138559296879267112900304931908761165760888524248077928792467492653527865227584382048119275035145988798777302439502793911493674716908003263107032171262924037269088367296234228049203843944714179409671718027589551177735362586546324810200702443989179924804513269884367517341638425307093097762962522621517340693532067308590935658441240803316638968154662837920082355084370467511718979374564846291843753729895694465039738331655587849935597070327825812175019139332985064445063059000646416717779824625358681868520765064584485896978350347621798605606482335044302965343157960959232684062024326143916889609679105217088114176938538756351274751325932349362282778101554122678286148188940798852073755514700933421438836196333493353107325143518055019087540567812489681660827563879143298559579506499284217516345430987874235602092696870584213427613559512001113026215959058078680082932301401639808148498722858484708814008388208295781019290319950466088111622704477695937694152960606601515649815879930149035202131320538206644515985325508386411824043212908577912524977595107157171783917221854383109163008191323692239886711165120419292720053375841310579934207891142361741130128670490681797900997811984776053726884300995379878744297126859040310165902268146179101796532311638983922007385677291246367082375216185154552706250827034119591325887629864137341355249570026143725843355237916096390194031340659559944554306590623631710246033898311446656893818804487982169583649761997642894561150620430516119740250274257438807209027524286069624330372675224258301518709893966896636851147830615123428106286920011800591389630933242299940238765209897467366726931165843}
19096   8633047188455293472727425214325822769174961089097785277686710148123280: {267218,324343,381740,438679,458088,496106,515349,839564,992108,1123183,1449548,1578079,1638386,1678952,1754348,1888821,2003505,2137072,2385125,2404206,2593928,2597383,2804613,2823103,2862150,2918169,3052960,3124364,3338825,3386143,3434580,3663552,3723103,4006590,4121496,4273696,4283263,4636683,4643564,4769750,4807908,4841623,5206929,5434665,5509279,5723700,5796976,6008108,6105280,6198725,6310988,6505903,6521598,6616279,6807633,6846506,6868440,7167079,7326336,7343105,7438470,7726995,7934368,8071688,8104325,8180601,8242128,8578508,8811726,8917543,8926164,8982632,9080649,9272394,9352279,9460783,9725190,10105461,10326223,10373536,10490150,10573305,10972279,11278192,11535218,11536745,11670228,12043279,12146953,12576079,12588180,12642218,12687966,13084078,13091948,13427392,13528712,13541708,13636279,13691564,13844094,14590028,14794183,15105816,15108463,15219801,15317623,15735079,16160426,16831148,16994043,17034218,17187103,17290279,17352790,17576588,17702263,18420463,18691540,18931303,19489173,19869032,19947583,20074346,20556382,20823348,21153266,21257983,21358279,21368618,21546681,22228586,22352661,22429848,22456783,22525665,22657706,22953223,23250223,23727986,24027376,24235543,24368426,24789700,24975861,25213663,25233579,25408423,26165228,26181128,26184583,26377903,26702200,26705618,26763679,27030798,27080552,27928748,28104823,28200079,28295263,28368908,28815218,28877672,28938469,29146929,29366260,29453769,29714383,29747640,29980364,30039975,30386345,30465621,31030665,31315865,31441964,31730816,31925049,31952618,32042640,32160626,32171564,32487381,32504023,32779423,32871079,33099376,33466095,33783679,33874543,34146703,34178816,34237279,34698725,35057618,35139079,35228863,35239512,35302505,35697168,35761875,36047970,36085418,36463614,36478279,37111628,37236798,37244705,37274023,37314026,37362079,37579038,37828712,37834988,37926386,38146000,38151343,38238679,38451168,38761183,39108079,39644451,39970279,40149033,40159314,40160618,40362866,40398679,40740103,41165263,41340670,41638470,41951800,41975666,42094279,42158348,42178303,42301964,42363006,42557301,42645813,42914250,43014583,43257564,43379306,43761079,43978706,44060168,44309228,44414368,44693646,44736950,45022505,45022929,45317863,45775200,45792681,46207279,46363346,46595564,46644981,46688743,47008279,47087983,47195775,47247305,47308364,47608328,47723023,47881063,48141877,48162668,48274903,48588679,48589388,48826880,48923306,49445623,49567689,49608804,49680969,49966164,50063383,50342160,50432150,50563653,50733605,50768825,50860364,50981383,51497100,51846866,52030568,52114303,52325336,52413679,52488343,52635921,52711903,52860583,53018933,53526079,53559369,53598725,53684340,53698304,53795432,53966503,54027006,54142942,54162386,54185743,54251468,54866373,54911863,54930240,55096364,55197905,55306293,55885418,56058679,56634930,56696766,56837618,57187063,57263296,57744343,57975506,58090303,58139705,58197512,58503079,58534389,58542081,58592256,58845079,58866003,58919786,59058100,59523679,59793103,59871365,60099809,60141548,60194825,60261823,60410592,60518580,60519861,60528079,60563129,60594463,60797546,60880326,60922590,61172761,61254343,61257068,61544618,61777063,61796520,61907023,62101423,62289386,62585192,62648588,62744743,62872543,62926508,63127279,63444079,64009783,64134703,64175564,64318470,64383679,64421208,64509621,64553152,64631503,64780665,64953753,64984096,65246023,65307079,65472201,65840825,65916288,66108201,66154303,66237486,66251564,66348933,67164103,67398679,67496150,67866905,67961916,67983218,67995193,68245881,68554279,68606368,68710929,68774110,68873189,68888618,69099376,69458023,69521085,69558305,69736663,69767646,69902983,69958279,69970346,70062905,70078575,70381964,70408341,70561783,70833223,70867826,70869720,71263783,71370703,71761706,71845638,72163423,72233790,72296306,72473859,72579583,72622296,73093303,73107108,73398079,73850383,73950103,74099143,74125745,74155824,74230145,74483564,74591263,74619788,74640079,74750480,74758281,74794088,74931463,75363679,75594368,75708428,75827186,75844364,75884023,76989079,77049376,77182164,77347060,77614543,77702743,77736798,78483583,78610418,78854150,78907303,78949279,78986825,79008990,79063161,79174329,79199623,79365079,79367468,79570279,79728435,79747486,79773679,79935103,79975279,80008881,80221918,80530183,80956279,80976905,80995380,81186218,81440286,81560503,81700083,81798725,82289863,82467703,82528932,82559345,82734668,82817983,83161063,83405708,83425302,83426875,83469966,83561066,83760463,83793079,83922823,83941964,83987263,84075486,84094290,84143349,84147103,84276256,84307592,84399103,84554263,84585079,84611564,85043664,85215583,85228649,85303063,85544345,85589983,85618279,85786543,85856870,85948364,86034079,86142223,86148622,86240618,86395072,86680548,86890088,86965903,87039343,87070418,87160303,87279463,87396823,87558103,87648679,87760279,87814508,87848263,87896618,88061426,88167943,88188679,88291279,88392079,88510663,88568983,88795783,88883306,88883753,88887223,88950894,88976863,89047279,89076174,89116543,89133679,89201503,89374706,89445583,89461279,89599303,89700576,89760079,89816383,89900853,89912143,90142183,90259903,90282583,90381079,90391663,90532279,90579079,90615223,90658783,90675703,90749049,90786079,90822079,90850865,90894943,90925183,91023679,91049383,91068823,91079623,91099279,91135063,91147663,91157743,91158679,92584364,92716268,92816472,92852249,93128505,93695361,93889113,94624980,94784190,94810788,94846041,95328746,95460968,95674122,95787013,97135990,97172286,97194456,97530218,97751349,98154026,98158470,98390270,98582405,99018293,99071214,99169953,99337072,99661388,99665169,99703466,99724808,...,10039799209876045152800696226416175571853350825078355458127925173109125762458427440535224178574465723224957119725453500198247985493593369726693977430937767728022151957120894665863577185376671706132513108827596395499513700548410043747732561506284384501069322330705220333567282829766620369005880092192759749677322059074036990092661660317180527583485146338633294057887243779017278873682768723258283481104413654046908606082285325320131828699130566009496593115743696367221500070919939399527300996688725866906589842565109380484627815501178475181153540159822603102651474493730141671815100298680922527136817889242075173866986745358087210532056509382207670829321568235899830962050398345306796584178079636886427634982107848568117153147869706456884034379271113074316405563580461531045367323566715208212104864142589881545574910059372261990107181474670786969606317803418806025640173458927101479318347842819222580943685865269482279219208745824094814033723791715374648492574496036367738626171488615968486944261231679543630261968132926290318335313283287773704454636483140251320635494998109302289561247120297306966096797292098953267525823644520236189866577591511393704304866286236176201480711861220432686722725961259582380456551740100631213828835754514314695210292394219926963538646736003953413816133461547336247226594036967887437036899113298440899203397161165929869177834899890821801016850549301269354741600447790293167767605948184745729172356150533739909211681554347851365664103905056623323538037153636779176064159033380194651731703069919337058548658232955877337684142709561683898716358784489728312304065605125259618905879562290703452734903647150115395099746934269925318906566406017693179156689788851233742790797017283363495356454258042756411454580877921654404422185290872883783893443140112493956682291972499419795055791671639860925953386317775540783799914129427103767749566692185777313419260084078667528555623706432833811575824694353419445981195971133796829064807475309780059070620457543947945643578749365768191889186146238806956117485569251385008468366335101243132483043704135405496904381530918587731802765007352934577895251781595111324470809766858024073358783387423749986242214436751838857731412772675332378956688460574650498980802790262494112284570151412682668150701621278744104906777243068535519744197998297144646278418677850944394374692387093267288117482163605970261250258870614142135354199754506573532046936175094050942192687980434011181882432057617211437216699970126809542895711889629139177478884010921764922986515614886827225723626737834455080773245610521523148988173504893987575730534663749313034738302512401327173171659062835812053746887869690861572135728709748851978562676514236388328489443166954913539403608334436045492788434516839818849788473666093368191634457806983888128520258708454212746592739075454164842280328045197748595542525091739317309559444866349330190526081534160574021492987000365676585076278703365714759499107163566965677735358279858622528849134863774153497904141715893349067455186174577656399920318353613196623155635908221124}
19097   8667348267988246863071797493426304076918558727468097627637036172511571: {400827,477175,572610,610784,687132,744159,1049455,1240135,1259346,1469083,1488162,1811935,1869938,2098690,2174322,2192935,2269687,2457579,2518428,2631522,2671340,2727439,3205608,3242410,3565903,3606309,3739484,3816200,3890892,3905455,4293225,4579440,4615666,4686546,4884736,5072354,5151870,5342120,5495328,5804455,6009885,6182244,6410544,6445322,6942572,6965346,7062727,7154625,7211862,7246220,7510135,7631600,7859803,7888735,8585550,8695464,9012162,9076844,9157920,9392143,9466482,9768448,9782397,9868418,9917960,10077979,10089610,10269759,10302660,10723135,10907468,10989504,11157705,11228290,11631607,11748968,11837623,11901552,12107532,12363192,12867762,12966920,13112359,13217589,13389246,13473948,13908591,13916047,14097740,14587785,14829823,15267439,15355106,15560304,15735225,16200487,16364935,16784240,16910890,16917288,16927135,16994683,17114263,17114455,17302827,17385403,17505342,17548999,18237535,18458792,18821659,18882270,18963327,19031949,19626117,19637922,19684258,20141088,20293068,20312562,20420263,20502079,20537346,20766141,21023954,21038935,21655807,21885042,21970735,22190146,22338283,22658724,22908487,22943863,23364425,23583439,23695483,24240639,24836290,25246722,25267963,25518343,25551327,25985564,26029185,26364882,26485723,26537578,26675239,27764464,28037310,28728908,28961954,28969963,29698306,29803548,29906464,30034220,30111519,30411538,30834573,30987125,31235022,31238359,31729899,31902679,32020234,32052927,32524399,32586943,32706535,32726410,33063607,33100123,33301148,33342879,33377750,33519919,33644772,33744607,33850690,33986559,34511887,34695826,34754203,34910935,35461135,35591979,35892466,35991439,36041064,36079082,36097090,36552639,36630343,36707825,36918943,37184550,37475455,38552647,38862572,39247842,39271692,39302455,39663520,40053300,40058427,40214455,40546197,40620828,41068807,41374220,41479183,41657287,41893122,42530839,42553362,42566732,42723520,43222827,43303279,43316508,44049390,44074279,44621460,44970546,45526747,45784669,46389535,46986016,47071003,47090923,47159083,47162946,47285890,47293735,47596224,47682500,47928927,48063960,48240939,48257346,48396914,48618152,48984799,49649064,50105384,50825762,50922823,51268224,51601282,52419007,52439750,52586427,52697935,52859268,52877455,53532044,53545752,53694007,53769482,54071955,54128127,54695421,54762043,55075210,55344187,55386535,55517960,55667442,55855197,55971039,56368557,56484008,56743068,56752482,56861084,56889579,57106258,57219000,57676752,58152223,58244455,58445962,58533739,59135455,59510410,59591528,59929399,60004603,60030572,60203335,60238971,60240927,60461954,60544299,60569839,60736735,61033600,61056908,62011005,62057266,62193308,62457705,62887003,62927700,62963499,63237522,63332923,63452946,63544509,63575455,63921706,64275499,64371375,64565119,64635439,64886346,65038210,65068959,65406670,65444827,65968059,66065899,66090252,66145072,66241292,66463842,66621552,67040469,67105425,67122880,67244290,67418204,67683103,67814335,68309287,68662800,68687359,68870455,69501058,69502543,69545019,69893346,69956594,70181228,70295282,70849783,70897339,70962546,71395399,71412492,71579120,71975266,72036008,72244002,72746890,72884082,73155164,73240320,73384959,73741724,73769143,73822625,74260322,74413206,74949246,75176935,75399943,75513240,75568603,75595688,75648225,75899239,76028827,76290546,76571335,76779439,77183383,77245650,77770299,78045852,78056108,78123008,78231490,78310735,78488004,78658135,79217407,80178722,80219455,80526510,80547456,80691440,80693148,81040509,81173768,81214413,81230120,81243579,81377202,81748999,82395360,82578346,82644546,82814455,82837543,83528347,83828127,83946418,84389938,84674143,84952395,85045149,85256427,85547899,85757960,85894944,85956559,86012828,86101783,86374220,86605004,86919938,86963259,87175147,87259207,87296268,87377623,87888384,87977455,88144268,88316648,88367899,88379679,88465244,88543327,88587150,90187963,90212322,90432367,90615888,90777870,90994508,91196319,91320489,91383885,91614572,91722427,91885602,92048143,92316927,92461243,92694780,93023528,93104455,93112279,93274735,93434079,93438100,93492610,93578047,93877788,93972882,94389762,94492960,94635535,94805455,95794184,96263346,96311720,96477705,96631812,96683825,96829728,97406527,97476144,97638583,97840123,97976287,98548882,98874432,99209335,99356229,99377346,99677708,...,15059698814814067729201044339624263357780026237617533187191887759663688643687641160802836267861698584837435679588180250297371978240390054590040966146406651592033227935681341998795365778065007559198769663241394593249270550822615065621598842259426576751603983496057830500350924244649930553508820138289139624515983088611055485138992490475770791375227719507949941086830865668525918310524153084887425221656620481070362909123427987980197743048695849014244889673615544550832250106379909099290951495033088800359884763847664070726941723251767712771730310239733904653977211740595212507722650448021383790705226833863112760800480118037130815798084764073311506243982352353849746443075597517960194876267119455329641452473161772852175729721804559685326051568906669611474608345370692296568050985350072812318157296213884822318362365089058392985160772212006180454409476705128209038460260188390652218977521764228833871415528797904223418828813118736142221050585687573061972738861744054551607939257232923952730416391847519315445392952199389435477502969924931660556681954724710376980953242497163953434341870680445960449145195938148429901288735466780354284799866387267090556457299429354264302221067791830649030084088941889373570684827610150946820743253631771472042815438591329890445307970104005930120724200192321004370839891055451831155555348669947661348805095741748894803766752349836232701525275823951904032112400671685439751651408922277118593758534225800609863817522331521777048496155857584934985307055730455168764096238550070291977597554604879005587822987349433816006526214064342525848074538176734592468456098407687889428358819343436055179102355470725173092649620401404887978359849609026539768735034683276850614186195525925045243034681387064134617181871316882481606633277936309325675840164710168740935023437958749129692583687507459791388930079476663311175699871194140655651624350038278665970128890126118001292833435559649250717363737041530129168971793956700695243597211212964670088605930686315921918465368124048652287833779219358210434176228353877077512702549502651864698724565556203108245356572296377881597704147511029401866842877672392666986706214650287036110038175081135624979363321655127758286597119159012998568435032690861975748471204185393741168426855227119024002226052431918116157360165864602803279616296997445716969417628016776416591562038580639900932176223245408955391875388305921213203031299631759860298070404262641076413289031970651016772823648086425817155825049955190214314343567834443708766218326016382647384479773422330240838585440106751682621159868415782284723482260257340981363595801995623969552107453768601990759757488594253718080620331804536292358203593064623277967844014771354582492734164750432370309105412501654068239182651775259728274682710499140052287451686710475832192780388062681319119889108613181247263420492067796622893313787637608975964339167299523995285789122301240861032239480500548514877614418055048572139248660745350448516603037419787933793273702295661230246856212573840023601182779261866484599880477530419794934733453862331686}
19098   8701784654531564350206750901399294713719787175065811240466713500441133: {209957,324377,362501,534436,553001,648686,763480,858915,877358,895397,916176,992212,1030698,1161257,1275077,1679128,1691801,1843097,1889019,1984216,2232243,2246366,2635301,2804907,2860997,2899096,3148035,3156158,3261483,3276772,3339175,3357904,3386501,3423977,3508696,3760901,3777642,3947283,4007010,4274144,4321001,4507301,4674355,4770250,4808412,4863615,5187856,5194766,5609226,5646206,5724300,5836338,5842757,6105920,6248728,6543401,6677650,6772286,6869160,6874277,6923499,7029819,7094501,7327104,7424297,7446206,7608531,7727805,7826501,8013180,8242992,8547392,8566526,8591657,8678215,9057775,9273366,9287128,9539500,9615816,9667983,9683246,10280347,10327337,10413858,10448019,10686617,10817793,10869330,11018558,11346055,11402777,11447400,11593952,11830937,11937797,12016216,12151301,12210560,12397450,12621976,12878325,12896297,13011806,13043196,13214501,13232558,13355717,13518243,13615266,13634335,13693012,13736880,13884137,14095001,14199723,14334158,14410757,14585897,14652672,14686210,14795801,14802627,14830757,14876940,15134415,15145001,15453990,15868736,16049177,16143376,16151443,16153157,16208650,16361202,16484256,16499237,16842435,16879001,17157016,17532677,17601317,17622175,17623452,17704217,17835086,17852328,17965264,18161298,18251801,18456617,18544788,18704558,18763301,18921566,18933401,18967397,19301643,19450380,19949801,20083869,20084777,20210922,20652446,20747072,20980300,21146610,21260357,21761177,21944558,22459301,22556384,22988837,23032659,23070436,23073490,23252837,23340456,24086558,24140057,24293906,25152158,25176360,25249001,25284436,25366335,25375932,25411301,25929317,26168156,26183896,26219801,26258013,26380901,26854784,27057424,27083416,27272558,27343301,27383128,27662501,27688188,28012697,28108037,28139801,28323405,28330217,28425317,29057477,29180056,29456883,29526387,29529497,29588366,29717801,29905817,30211632,30216926,30312197,30439602,30468843,30635246,30779417,30806019,31470158,31535931,32170277,32320852,32481955,32507801,32783237,32827563,33149477,33285219,33662296,33988086,34068436,34180901,34374206,34580558,34705580,35153176,35233001,35404526,35501957,35859557,35911135,36600857,36840926,37254435,37383080,37542775,37862606,37870083,38155877,38185001,38446757,38794757,38978346,39199301,39372197,39458537,39547323,39738064,39806367,39895166,40060901,40148692,40602857,40659737,40744997,41028677,41112764,41626435,41646696,41931077,42055965,42211397,42306532,42515966,42540883,42602501,42716558,42737236,43093362,43130777,43186217,43442931,43545797,43842211,43876517,43959017,44096357,44457172,44547459,44671001,44705322,44859696,44913566,44943401,45051330,45315412,45593897,45617307,45906446,46500446,46852533,47093801,47455972,47728937,47913317,48030351,48054752,48307097,48437957,48471086,48578215,48736852,48777257,48829337,49089615,49423507,49579400,49951722,50066625,50427326,50467158,50759237,50776035,50816846,50987801,51089177,51139817,51717775,52043739,52142587,52145897,52220837,52330456,52362256,52369166,52519877,52755806,52867301,52892057,53015717,53208415,53404400,53411236,53527358,53838699,53973401,54061596,54070937,54118623,54145635,54161104,54217001,54484037,54798377,54943001,55063301,55159397,55279337,55446917,55776825,55857496,56160677,56209646,56231657,56400158,56491301,56590526,56632517,56737816,56937497,57427301,57630436,57751877,57755344,57775001,57876938,57890501,58293858,58373417,58732520,58871763,58907538,59057177,59396357,59428766,59495280,59603125,59960728,60024677,60079950,60469637,60624617,60772690,60931242,61807001,62061330,62131301,62582297,62631730,62658739,62689157,62774501,62839683,62881001,62883928,62902277,63031507,63326117,63461632,63830043,63850098,63905236,63914117,64039301,64085280,64226537,64321252,64343128,64974762,65008046,65091737,65558846,65742158,65761637,66074085,66146227,66163397,66183401,66198752,66303257,66915055,66932190,67055657,67173401,67192997,67455819,67466501,67567358,67583237,67688203,67749086,67951001,68162597,68293406,68357632,68474558,68791577,69355817,69397450,70115236,70278158,70457726,70479024,70589957,70605010,70744419,70928835,71027047,71076355,71273957,71380901,71394336,71398697,71523750,71574607,71981477,72095940,72170836,72243497,72386019,72595371,72927228,72956558,73205801,73526597,73861157,74027237,74109977,74126501,74223256,74373401,74473596,74489410,74548046,74553317,74618501,74628052,74724158,74797097,74845637,74958617,75038215,75039077,75158076,75657424,75669976,75852772,75910937,75957797,76035737,76238643,76292000,76302686,76321135,76376297,76477358,76499177,76902336,77135897,77180837,77277067,77401923,77419301,77493401,77522366,77552537,77641001,77714501,77729177,77741635,78064517,78151301,78216158,78659625,79211801,79225637,79288902,79500677,79940558,79960901,80298066,80318628,80321236,80346137,80425001,80477417,80620901,80654223,80725732,80737577,80797358,81007301,81395587,81436517,81480206,81585797,82014617,82063001,82195397,82314917,82330526,82374377,82528037,82598501,82612815,82681340,82801615,82842857,83003801,83174501,83276940,83501163,83785001,83819911,83903600,83936537,83951332,84011717,84188558,84272755,84316696,84356606,84423401,84603928,84640037,84670697,84691097,84726012,84822917,84973337,85114602,85128723,85291626,85317317,85327001,85471301,85659387,85717157,85828500,86029166,86111897,86165801,86219417,86515128,86637977,86758612,86890217,86906777,87175397,87183401,87412037,87522158,87668943,87716357,87726535,87760901,87957412,88120336,88266137,88467497,88552517,88584857,88618456,88623401,88817957,88828736,88903301,89115557,89256857,89265615,89387292,89387801,89446277,89462057,89473900,89665577,89791001,89833157,89837801,89933477,89968997,90012677,90045010,90045858,90085097,90163301,90277097,90280901,90358937,90409001,90460901,90474437,90530537,90562457,90635726,90667877,90679301,90692931,90745157,90799001,90880901,90889637,90913001,90943301,90973637,91029737,91079717,91087301,91088537,91111577,91126757,91143401,91153817,91166501,91167017,91170857,91176677,91178501,91180697,91181957,91183397,91443955,91550400,91585362,92177155,92414558,92726692,93085899,93191128,93289962,93377486,94016558,94175966,94391550,94494610,94616728,94856283,95013667,95179419,95216656,95446046,95762126,95882559,96283754,96325336,96549806,97177358,97178776,97329519,97381627,97557315,97570135,97653760,97846612,98088067,98110005,98891246,99135378,99217608,99361938,99695763,99932328,...,22589548222221101593801566509436395036670039356426299780787831639495532965531461741204254401792547877256153519382270375446057967360585081885061449219609977388049841903522012998193048667097511338798154494862091889873905826233922598432398263389139865127405975244086745750526386366974895830263230207433709436773974632916583227708488735713656187062841579261924911630246298502788877465786229627331137832484930721605544363685141981970296614573043773521367334510423316826248375159569863648936427242549633200539827145771496106090412584877651569157595465359600856980965817610892818761583975672032075686057840250794669141200720177055696223697127146109967259365973528530774619664613396276940292314400679182994462178709742659278263594582706839527989077353360004417211912518056038444852076478025109218477235944320827233477543547633587589477741158318009270681614215057692313557690390282585978328466282646343250807123293196856335128243219678104213331575878531359592959108292616081827411908885849385929095624587771278973168089428299084153216254454887397490835022932087065565471429863745745930151512806020668940673717793907222644851933103200170531427199799580900635834685949144031396453331601687745973545126133412834060356027241415226420231114880447657208064223157886994835667961955156008895181086300288481506556259836583177746733333023004921492023207643612623342205650128524754349052287913735927856048168601007528159627477113383415677890637801338700914795726283497282665572744233786377402477960583595682753146144357825105437966396331907318508381734481024150724009789321096513788772111807265101888702684147611531834142538229015154082768653533206087759638974430602107331967539774413539809653102552024915275921279293288887567864552022080596201925772806975323722409949916904463988513760247065253111402535156938123694538875531261189687083395119214994966763549806791210983477436525057417998955193335189177001939250153339473876076045605562295193753457690935051042865395816819447005132908896029473882877698052186072978431750668829037315651264342530815616269053824253977797048086848334304662368034858444566822396556221266544102800264316508589000480059321975430554165057262621703437469044982482691637429895678738519497852652549036292963622706806278090611752640282840678536003339078647877174236040248796904204919424445496168575454126442025164624887343057870959851398264334868113433087813082458881819804546949447639790447105606393961614619933547955976525159235472129638725733737574932785321471515351751665563149327489024573971076719660133495361257878160160127523931739802623673427085223390386011472045393702993435954328161180652902986139636232891380577120930497706804438537305389596934916951766022157031873739101247125648555463658118752481102358773977662889592412024065748710078431177530065713748289170582094021978679833662919771870895130738101694934339970681456413463946508750949285992928683683451861291548359220750822772316421627082572858208872991118025672774904556129681900689910553443491845370284318860760035401774168892799726899820716295629692402100180793497529}
19099   8736356877990861792087114737724824486185524753332573580580413065991814: {668045,801654,954350,973029,1145220,1221568,1240265,1316037,1374264,1469237,1488318,1546047,1736189,2098910,2480270,2518692,2536709,2938166,2976324,3070109,3223337,3369549,3623870,3739876,3985421,4095965,4197380,4214249,4348644,4385870,4539374,4734237,4915158,5036856,5263044,5342680,5454878,5467637,5666463,6010515,6411216,6484820,7131806,7155375,7212618,7478968,7632400,7753757,7781784,7792149,7810910,8126237,8413839,8469309,8586450,8754507,9158880,9231332,9373092,9769472,10016475,10039877,10144708,10158429,10303740,10497101,10514189,10684240,10990656,11044229,11169309,11608910,11924375,12019770,12364488,12821088,12849789,12890644,13885144,13910049,13930692,14125454,14309250,14423724,14492440,14524869,15012389,15020270,15263200,15553229,15620787,15719606,15777470,16303995,16518821,16527837,17116265,17171100,17390928,18024324,18043337,18153688,18294557,18315840,18596175,18784286,18932964,19517709,19536896,19564794,19736836,19835920,19848837,20155958,20179220,20422899,20539518,20605320,21446270,21501237,21814936,21828557,21979008,22029315,22315410,22456580,22755821,22910909,23180985,23263214,23497936,23590169,23675246,23697989,23803104,23960237,24203549,24215064,24312975,24541803,24726384,25532549,25643141,25735524,25933840,26224718,26225375,26399789,26435178,26752629,26778492,26947896,27241947,27817182,27832094,27871337,28056837,28195480,28382349,28520501,28838045,29175570,29292869,29454509,29659646,30316383,30534878,30710212,30759029,30978669,31120608,31301309,31470450,31605545,31719915,32400974,32710195,32729870,32916837,33232229,33568480,33626921,33821780,33834576,33854270,33989366,34228526,34228910,34237229,34605654,34610235,34767461,34770806,35010684,35097998,35155037,35156969,36129837,36420701,36440859,36475070,36917584,37276649,37643318,37728237,37764540,37926654,38063898,38417189,38572109,39252234,39275844,39368516,39465077,40282176,40401065,40586136,40625124,40840526,40908837,41004158,41073149,41074692,41532282,42047908,42077870,42342149,42535337,42585545,42885257,43311614,43381975,43770084,43941470,44380292,44382549,44676566,44947037,45317448,45325389,45659403,45789149,45816974,45887726,45952869,46728850,47166878,47205237,47390966,47505821,48481278,48875309,49645589,49672580,50185865,50493444,50535926,50982129,51036686,51102654,51390955,51561309,51870837,51971128,52058370,52363061,52424549,52465637,52729764,52883165,52971446,53075156,53106789,53350478,53371049,53421545,55023437,55261389,55528928,55571465,55652909,56074620,56300237,56644265,56793909,57457816,57923908,57939926,58284509,58467519,58585949,59319965,59396612,59607096,59812928,59842749,60010949,60068440,60223038,60823076,60921065,61472981,61669146,61974250,62470044,62476718,62478089,63459798,63773949,63805358,64040468,64062461,64074837,64105854,64640043,64945349,64993661,65048798,65116949,65173886,65413070,65452820,66127214,66200246,66211229,66602296,66685758,66755500,66764045,67039838,67057983,67289544,67370349,67394429,67489214,67576995,67701380,67714637,67973118,68294237,68305421,68316509,68859669,69023774,69176237,69391652,69508406,69750669,69821870,70446749,70904837,70922270,71183958,71494469,71582537,71784932,71982878,72038045,72082128,72158164,72194180,72252749,72706629,73105278,73260686,73406537,73415650,73777109,73837886,74028437,74369100,74927583,74950910,75000269,75640989,75645821,75700737,76225269,76387337,77105294,77541149,77725144,78495684,78543384,78553749,78604910,79077989,79133709,79327040,79881545,80106600,80116854,80291037,80401565,80428910,81092394,81241656,81542237,81623597,82137614,82139369,82748440,82789637,82846301,82958366,83314574,83786244,84036821,84284669,84314469,84600237,84885789,85031429,85061678,85106724,85133464,85447040,86110889,86263781,86445654,86606558,86633016,86815407,87386861,87440787,87644045,88098780,88148558,88361307,88550477,88804589,89005637,89143149,89242920,89308349,89941092,90119925,90213545,90739337,91053494,91159035,91363421,91396863,91569338,92039837,92728469,92779070,93091995,93285065,93947595,93972032,94142006,94181846,94318166,94325892,94571780,94587470,94815965,94940069,95192448,95365000,95775147,95857854,96127920,96418637,96481878,96514692,96793828,97236304,97462143,97512069,97969598,98338269,98613237,98960189,99298128,...,30119397629628135458402088679248526715560052475235066374383775519327377287375282321605672535723397169674871359176360500594743956480780109180081932292813303184066455871362683997590731556130015118397539326482789186498541101645230131243197684518853153503207966992115661000701848489299861107017640276578279249031966177222110970277984980951541582750455439015899882173661731337051836621048306169774850443313240962140725818246855975960395486097391698028489779347231089101664500212759818198581902990066177600719769527695328141453883446503535425543460620479467809307954423481190425015445300896042767581410453667726225521600960236074261631596169528146623012487964704707699492886151195035920389752534238910659282904946323545704351459443609119370652103137813339222949216690741384593136101970700145624636314592427769644636724730178116785970321544424012360908818953410256418076920520376781304437955043528457667742831057595808446837657626237472284442101171375146123945477723488109103215878514465847905460832783695038630890785904398778870955005939849863321113363909449420753961906484994327906868683741360891920898290391876296859802577470933560708569599732774534181112914598858708528604442135583661298060168177883778747141369655220301893641486507263542944085630877182659780890615940208011860241448400384642008741679782110903662311110697339895322697610191483497789607533504699672465403050551647903808064224801343370879503302817844554237187517068451601219727635044663043554096992311715169869970614111460910337528192477100140583955195109209758011175645974698867632013052428128685051696149076353469184936912196815375778856717638686872110358204710941450346185299240802809775956719699218053079537470069366553701228372391051850090486069362774128269234363742633764963213266555872618651351680329420337481870046875917498259385167375014919582777860158953326622351399742388281311303248700076557331940257780252236002585666871119298501434727474083060258337943587913401390487194422425929340177211861372631843836930736248097304575667558438716420868352456707754155025405099005303729397449131112406216490713144592755763195408295022058803733685755344785333973412429300574072220076350162271249958726643310255516573194238318025997136870065381723951496942408370787482336853710454238048004452104863836232314720331729205606559232593994891433938835256033552833183124077161279801864352446490817910783750776611842426406062599263519720596140808525282152826578063941302033545647296172851634311650099910380428628687135668887417532436652032765294768959546844660481677170880213503365242319736831564569446964520514681962727191603991247939104214907537203981519514977188507436161240663609072584716407186129246555935688029542709164985468329500864740618210825003308136478365303550519456549365420998280104574903373420951664385560776125362638239778217226362494526840984135593245786627575275217951928678334599047990571578244602481722064478961001097029755228836110097144278497321490700897033206074839575867586547404591322460493712425147680047202365558523732969199760955060839589869466907724663372}
19100   8771065470332097787659398084124826923828770010438141889488001000204208: {248131,362539,419914,591139,648754,725002,1068872,1106002,1202481,1297372,1431525,1526960,1717830,1754716,1790794,1832352,1984424,2061396,2232477,2322514,2409571,2550154,3148365,3358256,3383602,3424339,3686194,3720405,3778038,3968432,4407249,4464486,4492732,4545019,4674845,5246725,5270602,5435805,5609814,5721994,5769451,5798192,5880331,6296070,6312316,6522966,6544097,6553544,6578805,6678350,6715808,6773002,6809061,6847954,7017392,7372737,7521802,7555284,7644619,7863859,7894566,8014020,8106025,8182317,8192179,8548288,8628931,8642002,9014602,9348710,9540500,9616824,9727230,10148491,10375712,10389532,10687771,10697709,10818927,11218452,11225251,11292412,11439739,11448600,11539165,11672676,11685514,11716365,11867851,12149501,12188179,12211840,12401371,12497456,12680885,12879675,13086802,13355300,13463011,13544572,13738320,13748554,13846998,14059638,14189002,14412331,14654208,14832379,14848594,14892412,15217062,15455610,15653002,15884477,15981571,16026360,16085611,16113305,16485984,16708339,17094784,17133052,17183314,17356430,17413365,17534611,18029655,18115550,18546732,18574256,18765379,18969499,19079000,19088069,19231632,19335966,19366492,19580131,20188171,20289259,20560694,20654674,20827716,20896038,20994859,21188181,21373234,21463875,21635586,21738660,22037116,22096531,22295899,22530405,22692110,22805554,22894800,23187904,23579409,23661874,23666205,23875594,24032432,24302602,24421120,24671045,24794900,25224025,25243952,25756650,25792594,26023612,26086392,26429002,26465116,26711434,26898139,27036486,27186499,27230532,27268670,27386024,27473760,27768274,28070725,28143019,28176429,28190002,28399446,28668316,28821514,28903051,29092339,29171794,29305344,29347191,29372420,29564299,29591602,29605254,29661514,29753880,29940571,30222019,30233937,30268830,30290002,30502819,30809277,30876211,30907980,31155499,31737472,32081779,32098354,32169405,32286752,32302886,32306314,32417300,32722404,32968512,32998474,33183811,33473115,33684870,33758002,34094251,34314032,34894821,34997491,35065354,35202634,35244350,35246904,35408434,35512869,35535979,35670172,35704656,35893531,35930528,36249931,36322596,36503602,36870859,36913234,37089576,37409116,37488259,37526602,37843132,37866802,37934794,38189539,38387765,38603286,38900760,39232819,39337077,39652767,39664459,39899602,40167738,40169554,40421844,41033611,41304892,41494144,41725773,41748141,41960600,42048379,42277225,42293220,42520714,43522354,43551091,43763355,43889116,44046811,44129179,44489469,44539939,44703739,44918602,45112768,45193411,45474737,45802317,45977674,46065318,46084411,46140872,46146980,46325899,46505674,46680912,47205675,47205811,48173116,48280114,48587812,48601461,48783331,49094805,49173211,49210645,49716019,50275589,50304316,50352720,50408731,50498002,50568872,50638339,50714731,50732670,50751864,50781405,50822602,50984049,51342789,51343365,51858634,51908481,52156209,52302331,52336312,52367792,52439602,52516026,52559885,52646997,52761802,52898779,53047171,53709568,53784811,54077851,54114848,54166832,54545116,54587899,54686602,54712605,54766256,54805411,55094419,55310419,55325002,55376376,55475365,55883251,56025394,56216074,56279602,56464977,56646810,56660434,56663371,56850634,56889981,57085219,57095847,57295171,57434779,57782539,58059451,58114954,58277009,58360112,58403971,58878351,58913766,59052774,59058994,59176732,59359051,59435602,59811634,60423264,60433852,60624394,60698971,60879204,60937686,61260789,61270492,61506237,61558834,61612038,62074891,62090725,62298423,62333371,62910739,62940316,63071862,63116805,63355771,64297531,64340554,64641704,64963910,64967421,65015602,65161891,65566474,65655126,65770651,65912205,66192499,66298954,66343945,66372211,66570438,66670291,66907459,67014849,67084579,67202299,67319731,67324592,67976172,68009501,68136872,68248819,68361802,68725461,68748412,68831589,69161116,69411160,69607891,70051699,70093275,70106851,70306352,70436251,70466002,70750317,70809052,71003914,71086449,71408899,71719114,71822270,71991811,72096859,72253891,72404885,72514171,72721917,73201714,73681852,74038051,74051237,74087731,74137339,74236339,74245765,74491781,74508870,74766160,74824291,75085550,75306331,75651521,75725212,75740166,75781171,75803889,76028845,76062619,76248811,76295179,76311754,76370002,76387699,76555029,76653981,76893514,77072419,77519899,77589514,77740939,77956692,78047371,78087555,78264091,78398602,78649651,78744394,78861331,78917074,79071211,79094646,79237819,79444459,79457169,79476128,79526611,79612734,79790332,79995149,80025717,80050585,80053579,80121802,80292691,80297384,80450659,80489971,80646499,80879131,80917651,81032779,81147259,81205714,81261091,81319474,81489994,81783739,81816025,82057354,82184491,82220491,82225528,82959859,83028619,83131219,83252870,83293392,83444375,83765971,83862154,84111930,84422794,84613064,84626725,84654019,84836971,84987451,85031932,85081766,85205002,85341259,85433116,85474472,85485619,85571371,85740931,85852531,86186724,86234059,86261554,86372434,86445739,86627179,86739565,86885862,86909889,87028651,87091594,87198499,87293971,87411691,87684422,87753034,87842611,87918034,88101379,88192714,88568371,88645699,88852411,88914344,88961491,89094918,89273179,89342002,89355619,89404219,89410644,89468011,89546131,89561539,89667379,89711659,89719392,89731165,89826571,89827132,89854579,89886802,89977051,90016579,90102660,90197705,90242725,90298099,90334557,90343171,90376219,90387091,90531739,90608059,90630824,90809371,90831619,90901099,90907651,90991819,91023571,91028611,91043299,91079299,91107019,91131211,91149139,91180891,91185859,91187794,91190179,91234614,91812892,92503719,92961375,93000892,93681077,93705066,93715077,94187602,94442557,94911944,95189697,95457874,95708037,95826634,96060702,96109504,96158781,96614194,96875914,96942172,97156430,97473704,97554514,97573197,97658674,97760829,98119605,98179230,98847014,99158800,99190821,99300369,99506897,99903444,...,45179096444442203187603133018872790073340078712852599561575663278991065931062923482408508803585095754512307038764540750892115934721170163770122898439219954776099683807044025996386097334195022677596308989724183779747811652467845196864796526778279730254811950488173491501052772733949791660526460414867418873547949265833166455416977471427312374125683158523849823260492597005577754931572459254662275664969861443211088727370283963940593229146087547042734669020846633652496750319139727297872854485099266401079654291542992212180825169755303138315190930719201713961931635221785637523167951344064151372115680501589338282401440354111392447394254292219934518731947057061549239329226792553880584628801358365988924357419485318556527189165413679055978154706720008834423825036112076889704152956050218436954471888641654466955087095267175178955482316636018541363228430115384627115380780565171956656932565292686501614246586393712670256486439356208426663151757062719185918216585232163654823817771698771858191249175542557946336178856598168306432508909774794981670045864174131130942859727491491860303025612041337881347435587814445289703866206400341062854399599161801271669371898288062792906663203375491947090252266825668120712054482830452840462229760895314416128446315773989671335923910312017790362172600576963013112519673166355493466666046009842984046415287225246684411300257049508698104575827471855712096337202015056319254954226766831355781275602677401829591452566994565331145488467572754804955921167191365506292288715650210875932792663814637016763468962048301448019578642193027577544223614530203777405368295223063668285076458030308165537307066412175519277948861204214663935079548827079619306205104049830551842558586577775135729104044161192403851545613950647444819899833808927977027520494130506222805070313876247389077751062522379374166790238429989933527099613582421966954873050114835997910386670378354003878500306678947752152091211124590387506915381870102085730791633638894010265817792058947765755396104372145956863501337658074631302528685061631232538107648507955594096173696668609324736069716889133644793112442533088205600528633017178000960118643950861108330114525243406874938089964965383274859791357477038995705305098072585927245413612556181223505280565681357072006678157295754348472080497593808409838848890992337150908252884050329249774686115741919702796528669736226866175626164917763639609093898895279580894211212787923229239867095911953050318470944259277451467475149865570642943030703503331126298654978049147942153439320266990722515756320320255047863479605247346854170446780772022944090787405986871908656322361305805972279272465782761154241860995413608877074610779193869833903532044314063747478202494251297110927316237504962204717547955325779184824048131497420156862355060131427496578341164188043957359667325839543741790261476203389868679941362912826927893017501898571985857367366903722583096718441501645544632843254165145716417745982236051345549809112259363801379821106886983690740568637721520070803548337785599453799641432591259384804200361586995058}
19101   8805910965589526847396847917509274821481817321958491983078001444913161: {629871,935263,973131,1087503,1336090,1603308,1621715,1659003,1736371,1908700,1946058,2193395,2290440,2308559,2443136,2480530,2576745,2632074,2686191,2748528,2938474,2976636,3092094,3472378,3483771,3566651,3825231,4197820,4710043,4960540,5037384,5073418,5075403,5529291,5615915,5667057,5734351,5876332,5952648,6140218,6446674,6696729,6739098,7247740,7479752,7890395,7905903,7970842,8191930,8394760,8414721,8428498,8582991,8697288,8771740,9078748,9163531,9444105,9468474,9784449,9830316,10017525,10073712,10159503,10271931,10526088,10685360,10909756,10935274,11098571,11221039,11282703,11332926,11841849,11925625,12021030,12351119,12822432,12963003,12969640,12986915,13521903,14023065,14115515,14263612,14310750,14425236,14590845,14957936,15210563,15264800,15507514,15563568,15584298,15621820,16252474,16694125,16827678,16930715,16938618,17146931,17172900,17509014,17528271,17951891,18317760,18462664,18601979,18615515,18746184,19522243,19538944,19630203,20032950,20079754,20289416,20316858,20572511,20607480,20622831,20770497,20994202,21028378,21089457,21283503,21368480,21416315,21981312,22088458,22272891,22338618,22627859,22825593,22948691,23183415,23217820,23479503,23848750,23962771,24039540,24208115,24728976,25642176,25699578,25774971,25781288,26034645,26365483,26810411,26893243,27173325,27319919,27546395,27770288,27820098,27861384,28250908,28618500,28847448,28984880,29003949,29049738,30024778,30040540,30526400,30841041,30982011,30993625,31106458,31241574,31344057,31439212,31554940,32059851,32453379,32529515,32531243,32607990,33037642,33055674,33081395,34038165,34208331,34232530,34342200,34781856,35492811,35813391,35835395,35946019,35999051,36048648,36086674,36307376,36453903,36589114,36631680,36638051,36715525,37141903,37192350,37235759,37568572,37865928,38634975,38688891,39035418,39073792,39123059,39129588,39293083,39473672,39643503,39671840,39697674,39706799,40067151,40311916,40358440,40373263,40521625,40554729,40845798,40903005,41079036,41210640,41652411,42285003,42599169,42892540,43002474,43232271,43629872,43657114,43757691,43958016,44058630,44127563,44247763,44387403,44407881,44492271,44587715,44630820,44913160,45403245,45435003,45511642,45794273,45821818,45963419,46361970,46526428,46761395,46995872,47180338,47303915,47331491,47350492,47395978,47606208,47920474,48147531,48407098,48430128,48454329,48459471,48625950,49083606,49452768,49497711,50527305,50637003,51065098,51286282,51471048,51631115,51867680,52014479,52449436,52450750,52598031,52799578,52803951,52866525,52870356,53112651,53505258,53556984,53705363,53895792,54483894,54755403,54861395,55369851,55617251,55634364,55664188,55742674,56113674,56143243,56289903,56390960,56561491,56764698,56800203,56902191,57041002,57051811,57087311,57676090,57683725,57904929,58351140,58585738,58592143,58909018,59319292,59619763,59849403,60216395,60251607,60254331,60582731,60632766,60734765,61069756,61420424,61518058,61957338,62128643,62241216,62602618,62880395,62940900,63211090,63439830,63781071,64471663,64801948,65283531,65420390,65459740,65461451,65833674,66464458,67136960,67253842,67377903,67643560,67669152,67708540,67978732,68181395,68457052,68457820,68474458,68966511,69097977,69211308,69220470,69534922,69541612,69758511,70021368,70195996,70260211,70310074,70313938,70620859,71542031,71947337,72259674,72420171,72637151,72841402,72881718,72950140,73835168,73968719,73970915,74036431,74553298,74790163,75286636,75456474,75529080,75542315,75747003,75853308,76099005,76127796,76233903,76588115,76834378,77144218,77542651,77787951,77800051,77807183,78504468,78509219,78551688,78659403,78675395,78737032,78774039,78930154,79142703,79301971,79905583,80021579,80564352,80711371,80802130,81172272,81250248,81681052,81817674,82008316,82029903,82146298,82149384,82987503,83047951,83064564,84038091,84095816,84155740,84324111,84419403,84684298,84970215,84990651,85070674,85171090,85275951,85289491,85770514,85935515,86054639,86451395,86623228,86763950,87172431,87540168,87781451,87882940,88370649,88511315,88559839,88579161,88588491,88760584,88765098,89153403,89353132,89429603,89717451,89821931,89894074,90634896,90650778,90936591,91318806,91406529,91578298,91633948,91775452,91905738,92049571,92102315,92338251,92418057,92842223,93457700,93469663,94333756,94410474,94607793,94656515,94781932,94816283,95011642,95284463,95572319,96464251,96510831,96962556,97445865,97523403,97750618,98349711,98482689,99252851,99291178,99316243,99345160,99448431,99737915,99855657,...,67768644666663304781404699528309185110010118069278899342363494918486598896594385223612763205377643631768460558146811126338173902081755245655184347658829932164149525710566038994579146001292534016394463484586275669621717478701767795297194790167419595382217925732260237251579159100924687490789690622301128310321923898749749683125466207140968561188524737785774734890738895508366632397358688881993413497454792164816633091055425945910889843719131320564102003531269950478745125478709590946809281727648899601619481437314488318271237754632954707472786396078802570942897452832678456284751927016096227058173520752384007423602160531167088671091381438329901778097920585592323858993840188830820876943202037548983386536129227977834790783748120518583967232060080013251635737554168115334556229434075327655431707832962481700432630642900762768433223474954027812044842645173076940673071170847757934985398847939029752421369879590569005384729659034312639994727635594078778877324877848245482235726657548157787286873763313836919504268284897252459648763364662192472505068796261196696414289591237237790454538418062006822021153381721667934555799309600511594281599398742701907504057847432094189359994805063237920635378400238502181068081724245679260693344641342971624192669473660984507003885865468026685543258900865444519668779509749533240199999069014764476069622930837870026616950385574263047156863741207783568144505803022584478882431340150247033671913404016102744387178850491847996718232701359132207433881750787048259438433073475316313899188995721955525145203443072452172029367963289541366316335421795305666108052442834595502427614687045462248305960599618263278916923291806321995902619323240619428959307656074745827763837879866662703593656066241788605777318420925971167229849750713391965541280741195759334207605470814371083616626593783569061250185357644984900290649420373632950432309575172253996865580005567531005817750460018421628228136816686885581260373072805153128596187450458341015398726688088421648633094156558218935295252006487111946953793027592446848807161472761933391144260545002913987104104575333700467189668663799632308400792949525767001440177965926291662495171787865110312407134947448074912289687036215558493557957647108878890868120418834271835257920848522035608010017235943631522708120746390712614758273336488505726362379326075493874662029173612879554194793004604340299263439247376645459413640848342919371341316819181884843859800643867929575477706416388916177201212724798355964414546055254996689447982467073721913230158980400486083773634480480382571795219407871020281255670171158034416136181108980307862984483541958708958418908698674141731362791493120413315611916168790804750855298066471095621217303741376945666390974356257443307076321932988668777236072197246130235293532590197141244867511746282065936039500988759315612685392214305084803019912044369240391839526252847857978786051050355583874645077662252468316949264881247718574626618973354077018324713668389045702069731660330475536110852956582280106205322506678399180699462148886889077206300542380492587}
19102   8840893899873683042663312072455308630154226993171670188418640160941421: {438817,496262,553117,725078,839828,1182278,1297508,1351201,1450004,1692157,1919101,2004135,2137744,2212004,2385875,2404962,2594744,2863050,2919087,3053920,3435660,3509432,3581588,3612001,3664704,3720795,3948111,3968848,4122792,4396477,4407711,4464954,4638141,4645028,4819142,4954657,5100308,5208567,5247275,6200675,6296730,6544783,6618397,6716512,6728737,6767204,6848678,7169377,7279357,7345415,7372388,7440810,7499101,7556076,7610127,7936864,8047201,8814498,8928972,8985464,9059675,9090038,9210327,9349690,9463837,9670011,10108647,10437457,10493450,10541204,10871610,10964675,11083297,11219628,11348435,11443988,11538902,11596384,11760662,11833501,11956263,12153937,12287895,12592140,12624632,12642747,12899101,13045932,13088194,13107088,13157610,13356700,13431616,13546004,13618122,13637195,13695908,13957501,14034784,14168317,14202711,14745474,15043604,15110568,15289238,15727718,15789132,16028040,16154831,16212050,16364634,16384358,16402911,16572001,16999389,17096576,17257862,17284004,17295997,17605201,17753239,17810977,17829515,18029204,18031545,18324157,18697420,19081000,19141501,19233648,19454460,19527275,20296982,20751424,20779064,20863057,21164701,21365437,21375542,21395418,21466125,21637854,22436904,22450502,22558627,22584824,22879478,22897200,23078330,23261271,23345352,23371028,23376447,23432730,23455777,23735702,24299002,24341917,24376358,24378711,24423680,24802742,24994912,25241517,25319677,25361770,25380839,25407927,25759350,26173604,26263521,26290237,26710600,26772817,26926022,27089144,27476640,27497108,27693996,27732577,28119276,28209757,28304977,28378004,28824662,29022275,29308416,29664758,29697188,29724637,29784824,30049425,30119631,30434124,30475287,30911220,31306004,31314001,31491303,31542567,31768954,31963142,32052720,32171222,32226610,32239201,32882557,32971968,33132687,33416678,33507927,33886417,34189568,34249297,34266104,34366628,34539463,34712860,34826730,35069222,35241277,35313635,35420701,35773125,36059310,36231100,37093464,37148512,37375357,37530758,37550675,37938998,38158000,38176138,38252317,38463264,38549367,38671932,38732984,39160262,39208657,39299015,39443675,40070497,40242001,40376342,40578518,40669501,41121388,41309348,41655432,41730147,41792076,41989718,42193597,42376362,42746468,42927750,43030237,43196701,43271172,43477320,43574607,44074232,44193062,44591798,44845501,45008797,45037167,45060810,45384220,45611108,45659101,45789600,46375808,46659687,46706017,46862361,46960715,47105437,47158818,47323748,47332410,47751188,47819857,48064864,48292897,48450001,48605204,48841501,48842240,48911985,49342090,49556463,49583511,49589800,50389895,50448050,50487904,51152701,51348795,51513300,51585188,52047224,52134097,52172784,52508317,52858004,52930232,53029201,53422868,53615675,53742871,53796278,54072972,54130011,54133501,54372998,54461064,54537340,54772048,54883671,54947520,55005277,55536548,55788525,56141450,56286038,56352858,56380004,56505937,56798892,56999101,57209377,57336632,57643028,57806102,58158035,58182097,58184678,58343588,58526077,58553127,58610688,58694382,58744840,59128598,59183204,59188115,59210508,59323028,59507760,59546511,59614717,59881142,60419101,60444038,60467874,60537660,60580004,60618577,60949597,61005638,61268697,61618554,61752422,61815960,61866877,62310998,62706001,63216337,63343201,63474944,63532957,64160797,64163558,64196708,64338810,64503711,64573504,64605772,64612628,64834600,65333857,65444808,65485671,65516701,65561795,65937024,65996948,66087945,66367622,66540577,66849959,66946230,67369740,67485217,67516004,67602001,68008477,68188502,68267463,68628064,68640097,68732727,68894903,69542955,69580235,69789642,69987937,69994982,70130708,70405268,70488700,70493808,70700701,70770507,70816868,70971601,71025738,71071958,71093967,71340344,71409312,71787062,71861056,71880711,72037201,72194557,72499862,72610647,72645192,72817501,72920317,72938925,73007204,73176097,73581601,73583839,73625409,73741718,73826468,73832701,73932637,74149115,74179152,74672977,74818232,74976518,75053204,75686264,75733604,75869588,75917857,76011601,76337195,76379078,76597647,76775530,76929423,77206572,77472337,77605501,77665511,77801520,78175057,78465638,78476701,78674154,78676125,78985597,79199367,79305534,79319101,79328918,79607137,79799204,80012497,80257887,80335476,80339108,80724001,80843688,81002435,81032737,81223357,81599197,81725841,81824675,81858001,81938351,82067222,82293457,82507297,82609784,82988288,83030557,83099101,83451546,83496282,83537617,83614011,83834077,83921200,83996257,84096758,84170511,84188497,84503137,84554450,84586440,84626977,84635675,84719101,84973415,85041428,85147047,85316701,85561503,85571315,85572275,85661437,86514135,86927015,86936701,87044708,87102182,87108817,87348577,87526710,87744995,87762001,87778232,87806497,87878607,88093622,88235617,88256317,88258358,88297501,88363527,88843837,88978938,89079878,89182417,89406343,89407478,89447377,89510737,89810257,89824477,89837204,90119101,90144157,90205537,90225536,90265117,90386822,90443677,90703201,90728797,90839677,90861601,90875857,90882877,90916897,90930001,90949149,90949474,90961501,91069501,91078717,91164001,91187675,91202557,91215517,91216417,91221601,91604634,91955348,92130636,92168822,92277087,92281744,92293960,92651798,92881523,92936007,93011348,93361824,93597563,93903927,94108295,94411350,94411622,94816635,95159745,96346232,96560228,97175624,97202922,97566662,98130585,98189610,98346422,98421290,98750511,99049511,99432038,99696687,...,90358192888884406375206266037745580146680157425705199123151326557982131862125846964817017607170191509024614077529081501784231869442340327540245796878439909552199367614088051992772194668390045355192617979448367559495623304935690393729593053556559460509623900976346983002105545467899583321052920829734837747095898531666332910833954942854624748251366317047699646520985194011155509863144918509324551329939722886422177454740567927881186458292175094085469338041693267304993500638279454595745708970198532802159308583085984424361650339510606276630381861438403427923863270443571275046335902688128302744231361003178676564802880708222784894788508584439869037463894114123098478658453585107761169257602716731977848714838970637113054378330827358111956309413440017668847650072224153779408305912100436873908943777283308933910174190534350357910964633272037082726456860230769254230761561130343913313865130585373003228493172787425340512972878712416853326303514125438371836433170464327309647635543397543716382498351085115892672357713196336612865017819549589963340091728348262261885719454982983720606051224082675762694871175628890579407732412800682125708799198323602543338743796576125585813326406750983894180504533651336241424108965660905680924459521790628832256892631547979342671847820624035580724345201153926026225039346332710986933332092019685968092830574450493368822600514099017396209151654943711424192674404030112638509908453533662711562551205354803659182905133989130662290976935145509609911842334382731012584577431300421751865585327629274033526937924096602896039157284386055155088447229060407554810736590446127336570152916060616331074614132824351038555897722408429327870159097654159238612410208099661103685117173155550271458208088322384807703091227901294889639799667617855954055040988261012445610140627752494778155502125044758748333580476859979867054199227164843933909746100229671995820773340756708007757000613357895504304182422249180775013830763740204171461583267277788020531635584117895531510792208744291913727002675316149262605057370123262465076215297015911188192347393337218649472139433778267289586224885066176411201057266034356001920237287901722216660229050486813749876179929930766549719582714954077991410610196145171854490827225112362447010561131362714144013356314591508696944160995187616819677697781984674301816505768100658499549372231483839405593057339472453732351252329835527279218187797790559161788422425575846458479734191823906100636941888518554902934950299731141285886061407006662252597309956098295884306878640533981445031512640640510095726959210494693708340893561544045888181574811973743817312644722611611944558544931565522308483721990827217754149221558387739667807064088628127494956404988502594221854632475009924409435095910651558369648096262994840313724710120262854993156682328376087914719334651679087483580522952406779737359882725825653855786035003797143971714734733807445166193436883003291089265686508330291432835491964472102691099618224518727602759642213773967381481137275443040141607096675571198907599282865182518769608400723173990116}
19103   8876014811379394249866607972749912974534813359279489858227717125600172: {744393,1049785,1087617,1259742,1621885,1773417,1812505,1870526,1946262,2175006,2270401,2308801,2672180,2728297,2765005,3070753,3206616,3243430,3318006,3472742,3607443,3817400,3892116,3986257,4215133,4294575,4386790,4476985,4580880,4617118,4824457,4886272,4961060,5153490,5264148,5372382,5497056,5510941,5806285,5876948,5953272,6184188,6375385,6697431,6944756,6967542,7133302,7228713,7650462,7862281,8395640,8459005,8592001,9215485,9420086,9445095,9921080,10074768,10146836,10150806,10273017,11046553,11058582,11161215,11231830,11334114,11468702,11752664,11905296,12280436,12707017,12769801,12893348,13116493,13176505,13221747,13393458,13478196,13635057,14024535,14304985,14495480,14596777,14959504,15740175,15780790,15811806,15941684,16307415,16383860,16522297,16695875,16789520,16829442,16856996,16932505,17000041,17119885,17165982,17308353,17355217,17394576,17543480,17640993,18157496,18181681,18327062,18804505,18827593,18888210,18936948,19164217,19568898,19632291,19660632,19736415,19761721,20035050,20147424,20319006,20426701,20427183,20543862,21052176,21370720,21605005,21819512,21870548,21984157,22118211,22197142,22442078,22536505,22565406,22665852,22933857,23371775,23590897,23591577,23595133,23683698,23703001,23731657,23851250,24042060,24188401,24318075,24546951,24576537,24702238,25644864,25648537,25886793,25926006,25939280,25973830,26061721,27043806,28046130,28231030,28527224,28621500,28850472,29181690,29213785,29299033,29915872,29964577,29982841,30421126,30445473,30529600,31015028,31041697,31127136,31168596,31243640,32063313,32093127,32287177,32456781,32504948,32717005,33388250,33633997,33655356,33675753,33861430,33877236,33891361,34293862,34319217,34345800,34371385,34522801,34524817,34617495,34774777,35018028,35056542,35149095,35472505,35603553,35903782,36002857,36447133,36448503,36564537,36635520,36925328,37121485,37203958,37204113,37231030,37239697,37284493,37492368,37651801,38042655,38425273,38564953,38639025,39044486,39077888,39132505,39260406,40065900,40122577,40159508,40225117,40389033,40578832,40633716,40932481,41145022,41214960,41245662,41306557,41540994,41821201,41988404,41990881,42056756,42178914,42544333,42567006,42736960,42832630,42958285,43236993,43391075,43962624,44005897,44088217,44176916,44497137,44545782,44677236,44771761,45255718,45288875,45541321,45651186,45897382,46285657,46313953,46366830,46435640,46692553,46926217,46959006,47521501,47653431,47697500,47925542,47944713,48079080,48205537,48256833,48335617,48339915,48416230,49319041,49457952,50125017,50169553,51284352,51399156,51401735,51549942,51562576,51636685,52069290,52240095,52603833,52730966,53433085,53620822,53711041,53786486,54088965,54346650,54639838,55092790,55540576,55571917,55623133,55640196,55722768,56296137,56501816,56730275,56908497,57013885,57237000,57264207,57694896,57969760,58007898,58099476,58740393,59154685,59688985,60023641,60049556,60081080,60564513,60756505,60867777,61052800,61471657,61682082,61964022,61987250,62160457,62212916,62422801,62483148,62688114,62878424,62984577,63109880,63564543,64119702,64391625,64481485,64585537,64906758,65059030,65062486,65215980,65465953,66072505,66075284,66111348,66162790,66225481,66289593,66413377,66778585,66887697,67591215,68076330,68171675,68416662,68465060,68684400,69232477,69420685,69563712,69781801,70475005,70738227,70919833,70985622,70998615,71417977,71597773,71626782,71670790,71892038,71954377,71998102,72053785,72097296,72173348,72283561,72614752,72644833,72776881,72907806,72929485,73178228,73263360,73276102,73431050,73979005,74013135,74013673,74153785,74283806,74384700,74471518,75058681,75137144,75672075,75725005,75731856,76804057,76805953,77269950,77363533,77377782,78014497,78070836,78147584,78246118,78259176,78586166,78676537,78947344,79287006,79343680,79395348,79413598,79477897,80063857,80134302,80245885,80623832,80694417,80716880,80746526,80757215,80765785,81043250,81109458,81559497,81691596,81806010,82158072,82338937,82421280,82446001,82496185,83304822,84212175,84302953,84395005,84429057,84529287,84549673,84570006,85028671,85198338,85785080,86004948,86129101,86434081,86464542,86465401,86709153,87259744,87277017,87314228,87417577,87515382,87663385,87916032,88006585,88032553,88041573,88110875,88117260,88255126,88471801,88495526,88521085,88692897,88774806,88815762,88984542,89175430,89261640,89392297,89821713,89826320,90461233,90666057,90701811,90806490,90870006,91023284,91259005,91508457,91571257,91588546,91643636,91926838,92063473,92283085,92427831,92628633,92723940,93052856,93466497,93522790,93607933,93816505,93991744,94360676,94570957,94607830,94662982,94667005,94700984,94791956,94836985,95212416,95453953,95840948,95989417,96245337,96295062,96508215,96814196,96860256,96908658,96918942,97065481,97251900,98167212,98264497,98905536,98995422,99551433,99749005,99891133,...,135537289333326609562809399056618370220020236138557798684726989836973197793188770447225526410755287263536921116293622252676347804163510491310368695317659864328299051421132077989158292002585068032788926969172551339243434957403535590594389580334839190764435851464520474503158318201849374981579381244602256620643847797499499366250932414281937122377049475571549469781477791016733264794717377763986826994909584329633266182110851891821779687438262641128204007062539900957490250957419181893618563455297799203238962874628976636542475509265909414945572792157605141885794905665356912569503854032192454116347041504768014847204321062334177342182762876659803556195841171184647717987680377661641753886404075097966773072258455955669581567496241037167934464120160026503271475108336230669112458868150655310863415665924963400865261285801525536866446949908055624089685290346153881346142341695515869970797695878059504842739759181138010769459318068625279989455271188157557754649755696490964471453315096315574573747526627673839008536569794504919297526729324384945010137592522393392828579182474475580909076836124013644042306763443335869111598619201023188563198797485403815008115694864188378719989610126475841270756800477004362136163448491358521386689282685943248385338947321969014007771730936053371086517801730889039337559019499066480399998138029528952139245861675740053233900771148526094313727482415567136289011606045168957764862680300494067343826808032205488774357700983695993436465402718264414867763501574096518876866146950632627798377991443911050290406886144904344058735926579082732632670843590611332216104885669191004855229374090924496611921199236526557833846583612643991805238646481238857918615312149491655527675759733325407187312132483577211554636841851942334459699501426783931082561482391518668415210941628742167233253187567138122500370715289969800581298840747265900864619150344507993731160011135062011635500920036843256456273633373771162520746145610306257192374900916682030797453376176843297266188313116437870590504012974223893907586055184893697614322945523866782288521090005827974208209150667400934379337327599264616801585899051534002880355931852583324990343575730220624814269894896149824579374072431116987115915294217757781736240837668543670515841697044071216020034471887263045416241492781425229516546672977011452724758652150987749324058347225759108389586009208680598526878494753290918827281696685838742682633638363769687719601287735859150955412832777832354402425449596711928829092110509993378895964934147443826460317960800972167547268960960765143590438815742040562511340342316068832272362217960615725968967083917417916837817397348283462725582986240826631223832337581609501710596132942191242434607482753891332781948712514886614152643865977337554472144394492260470587065180394282489735023492564131872079001977518631225370784428610169606039824088738480783679052505695715957572102100711167749290155324504936633898529762495437149253237946708154036649427336778091404139463320660951072221705913164560212410645013356798361398924297773778154412601084760985174}
19104   8911274240393827105800099478550496294719054234635392517682508640369867: {324479,438863,591263,877634,992524,1009703,1106234,1275479,1389263,1450156,1679656,1889613,1957103,2364556,2485463,2595016,2702402,2805789,2900008,2919393,2974679,3262509,3340225,3384314,3612383,3649823,3838202,4008270,4275488,4424008,4771750,4809924,4865145,4977009,5189488,5209113,5726100,5770679,5838174,5844623,5955479,6107840,6201325,6213863,6508679,6580185,6871320,6925677,6986663,7018864,7163176,7224002,7329408,7346185,7441590,7730235,7896222,7937696,8058573,8084543,8245584,8266823,8680945,8703479,8792954,8815422,8929908,9066479,9276282,9290056,9638284,9681743,9909314,10200616,10283581,10417134,10438583,10451313,10494550,10699953,10869479,11120303,11475693,11870423,11941679,12048503,12190823,12401350,12475079,12593460,12683545,12723383,13089566,13236794,13433024,13457474,13465943,13534408,13697356,13783103,14130129,14338754,14558714,14590679,14690830,14744776,14881620,14998202,15112152,15220254,15226209,15350545,15568103,15873728,15887809,16054463,16094402,16116685,16158479,16587873,16847745,17001171,17203053,17607143,17628996,17710079,17812943,17857944,17970928,18119350,18180076,18420654,18699380,18927674,19092073,19143623,19177583,19340022,19652183,19927105,20090187,20091479,20192663,20217294,20479825,20874914,20986900,21071245,21082408,21167063,21367823,21501503,21701783,21743220,21868463,21929350,22166594,22439256,22696870,22765079,22887976,23077804,23095679,23192768,23491343,23521324,23667002,23671185,23717709,23912526,24246479,24307874,24575790,24961321,25160063,25184280,25244163,25249264,25285494,25549679,25748973,25798202,26091864,26099663,26176388,26214176,26315220,26713400,26775863,26863232,26904263,27092008,27236244,27256703,27274390,27338185,27391816,27490593,27915002,28069568,28117679,28212983,28332315,28336634,28339943,28405422,28435079,28593479,29353347,29490948,29916143,29995537,30052575,30087208,30221136,30416303,30478509,30578476,30790079,30815793,30883343,30945479,31317623,31455436,31578264,31873679,32056080,32273663,32309662,32424100,32702903,32729268,32768716,32805822,32886383,33144002,33295713,33663117,33848109,33998778,34011479,34162679,34193152,34374023,34515724,34568008,34591994,34615079,35155583,35210402,35454743,35506478,35525547,35621954,35659030,35776875,35872223,36058408,36063090,36317783,36613823,36648314,37053357,37232903,37394840,37497143,38162000,38256863,38283002,38373263,38467296,38547623,38768785,38889009,38908920,38960745,39054550,39242183,39472679,40246823,40565709,40593964,40631185,40759679,41128463,41502848,41558128,41726114,41946263,42069195,42114623,42226703,42310679,42329402,42346545,42730874,42751084,42790836,42932250,43146479,43275708,43699679,43772535,43892543,43975079,44057543,44112479,44194823,44850983,44873808,44901004,45117254,45169648,45631689,45691703,45758956,45794400,46149479,46156660,46337303,46522542,46690704,46742056,46752894,46818479,46865460,46911554,47217479,47471404,47825783,48325103,48598004,48683834,48752716,48757422,48795479,48847360,48847583,49439089,49605484,49989824,50082375,50199385,50472479,50483034,50639354,50651063,50723540,50761678,50778383,50792145,50815854,50930903,51108479,51440793,51518700,52165703,52240679,52315583,52347208,52485505,52527042,52539863,52570945,52580474,52584813,52689023,53035943,53060663,53421200,53545634,53798543,53852044,53855673,54091679,54140423,54164783,54178288,54953280,54994216,55018621,55221145,55387992,55465154,55731023,55805937,55846545,55897679,56182463,56238552,56253479,56324423,56419514,56609954,56725079,56756008,56889383,57310079,57649324,58044550,58120679,58533743,58566729,58616832,58875983,58890609,59035079,59329516,59394376,59419823,59449274,59487479,59569648,59621875,59645063,59779823,60048479,60098850,60239262,60449303,60560183,60648743,60715079,60868248,60950574,60979703,61221263,61418183,61717533,61822440,61868493,62091503,62134679,62311491,62612008,62628002,62778479,62982606,63085134,63161303,63246023,63268371,63372863,63478343,63537908,63850509,63926284,64044479,64105440,64248945,64252679,64314983,64342444,64418663,64453220,64478402,64604783,64913543,65179679,65220503,65545943,65745001,65765114,65849183,65943936,66190679,66265374,66330623,66390479,66818673,66833356,67015854,67142423,67279679,67436063,67727903,67772834,67883577,68379136,68476779,68497343,68498594,68532208,68668703,68733256,68846073,69078926,69235223,69425720,69550245,69653460,69887063,70071503,70138444,70438509,70482554,70545853,70627270,70710743,70728863,70841402,71460301,71482679,71546250,71888313,72047543,72118620,72274679,72462200,72535079,72569663,72624345,72930863,73135679,73356263,73558679,73843463,73943423,74059679,74109383,74142479,74186928,74297024,74586143,74635079,74750714,74878679,75040079,75061516,75061945,75101350,75471863,75551183,75877996,75944783,75991679,76038503,76271543,76316000,76348823,76352276,76504634,76686479,76926528,77095583,77098734,77215679,77260583,77324913,77343864,77465968,77766145,78100079,78103935,78287903,78320524,78417314,78598030,78702023,78887350,79004497,79095479,79096449,79331303,79468943,79537463,79673903,79755383,79984679,80078423,80140994,80423183,80431233,80484002,80679729,80752684,80814263,81058223,81157036,81339002,81421249,81519975,81624503,81870983,81959757,82053743,82234703,82242776,82306583,82390079,82567679,82594105,82618696,82639185,82836503,82863361,83055383,83123903,83310864,83451023,83460294,83562263,83584152,83683703,83793263,83815079,83891183,83979436,84009983,84244679,84387194,84454679,84527423,84681983,84712679,84752724,85475903,85492936,85581325,85600079,85741679,85855500,85881479,86060474,86092343,86155679,86263343,86393402,86542344,86954640,86976479,87011847,87058679,87099479,87149214,87340079,87457679,87511943,87740063,88004303,88146623,88148464,88230479,88354103,88386124,88534679,88600079,88619543,88866023,88884479,89135303,89164223,89181479,89183596,89266679,89322479,89469143,89511479,89527223,89604863,89691002,90017594,90019679,90074334,90121620,90210479,90216685,90282263,90385079,90410783,90421679,90475079,90536783,90592679,90615023,90649343,90679703,90720863,90729479,90763223,90768440,90806423,90845063,90867383,90893783,90903143,90937103,90948023,90950183,90981623,91005479,91068479,91097063,91103063,91118903,91131143,91173623,91188263,91194479,91207943,91222216,91232423,91234463,91236983,91318202,91472785,91578157,91579200,91786513,92523123,92751616,92946033,92980875,93319374,93412034,93724722,93921430,94032171,94210874,94317636,94647496,94664820,95502376,95639714,96129728,96179553,96585794,96836233,96900002,97210408,97360137,97412329,97588545,97593729,97683002,97684480,97823970,98684180,99112926,99167022,99179600,99244185,...,203305933999989914344214098584927555330030354207836698027090484755459796689783155670838289616132930895305381674440433379014521706245265736965553042976489796492448577131698116983737438003877602049183390453758827008865152436105303385891584370502258786146653777196780711754737477302774062472369071866903384930965771696249249049376398621422905683565574213357324204672216686525099897192076066645980240492364376494449899273166277837732669531157393961692306010593809851436235376436128772840427845182946698804858444311943464954813713263898864122418359188236407712828692358498035368854255781048288681174520562257152022270806481593501266013274144314989705334293761756776971576981520566492462630829606112646950159608387683933504372351244361555751901696180240039754907212662504346003668688302225982966295123498887445101297891928702288305299670424862083436134527935519230822019213512543273804956196543817089257264109638771707016154188977102937919984182906782236336631974633544736446707179972644473361860621289941510758512804854691757378946290093986577417515206388783590089242868773711713371363615254186020466063460145165003803667397928801534782844798196228105722512173542296282568079984415189713761906135200715506543204245172737037782080033924028914872578008420982953521011657596404080056629776702596333559006338529248599720599997207044293428208868792513610079850851156722789141470591223623350704433517409067753436647294020450741101015740212048308233161536551475543990154698104077396622301645252361144778315299220425948941697566987165866575435610329217356516088103889868624098949006265385916998324157328503786507282844061136386744917881798854789836750769875418965987707857969721858286877922968224237483291513639599988110780968198725365817331955262777913501689549252140175896623842223587278002622816412443113250849879781350707183750556072934954700871948261120898851296928725516761990596740016702593017453251380055264884684410450060656743781119218415459385788562351375023046196180064265264945899282469674656805885756019461335840861379082777340546421484418285800173432781635008741961312313726001101401569005991398896925202378848577301004320533897778874987485515363595330937221404842344224736869061108646675480673872941326636672604361256502815505773762545566106824030051707830894568124362239172137844274820009465517179087137978226481623986087520838638662584379013813020897790317742129936378240922545028758114023950457545654531579401931603788726433119249166748531603638174395067893243638165764990068343947401221165739690476941201458251320903441441147715385658223613060843767010513474103248408543326940923588953450625876126875256726096022425194088374479361239946835748506372414252565894199413286863651911224130836999172923068772329921228965798966006331708216591738390705880597770591423734602535238846197808118502966277946838056176642915254409059736133107721175518578758543573936358153151066751623935232986757404950847794643743155723879856920062231054974141005167137106209194980991426608332558869746840318615967520035197542098386446660667231618901627141477761}
19105   8946672729304562791010828064785217198369739881270901256052480083368447: {1240655,1316451,1469699,1488786,1659351,1812695,2099570,2175234,2270639,2519484,2537507,2728583,2955695,3224351,3243770,3546834,3625010,3741052,3871007,3892524,4053603,4350012,4540802,4617602,4711031,5076471,5344360,5456594,5530010,5701631,5757303,6012405,6141506,6159287,6267779,6413232,6486860,6636012,6945484,7157625,7214886,7634800,7784232,7972514,8128799,8430266,8589150,8757261,8773580,8925539,8953970,9011123,9161760,9234236,9648914,9772544,9922120,10154183,10306980,10528296,10744764,10836003,10994112,11021882,11162385,11612570,11753896,11842607,11844333,11906544,11983079,12047855,12368376,12750770,12901679,13189431,13223133,13394862,13583363,13889512,13914423,13935084,14266604,14457426,14863971,15091583,15300924,15625701,15724562,15741825,16791280,16918010,17121695,17184002,18430970,18447107,18602025,18840172,18890190,19526351,19634349,19842160,19855191,20026979,20149536,20186211,20293672,20301612,20510711,20546034,21508131,21835439,21838071,22036245,22093106,22117164,22322430,22463660,22497303,22668228,22725095,22830381,22937404,23374225,23505328,23705507,23810592,23967839,24141603,24560872,25368323,25414034,25529087,25539602,25786696,26053439,26232986,26233625,26326307,26353010,26371031,26443494,26786916,26956392,27179025,27270114,27630981,27880151,28049070,28391511,28609970,28847255,28990960,29010033,29193554,29401655,29919008,30247007,30325941,31312371,31480350,31551107,31561580,31623612,31883368,31916111,32614830,32720485,32767720,32894025,33044594,33249891,33391750,33579040,33658884,33713992,33865010,34000082,34045305,34239770,34331964,34616706,34710434,34789152,35086960,35168087,35281986,35500503,35868789,35953583,36314992,36363362,36461811,36654124,36863685,36934487,37609010,37655186,37655783,37776420,37873896,37928241,38223095,38328434,38584307,38697303,39137796,39264582,39319295,39321264,39472830,39523442,40070100,40294848,40530125,40638012,40735031,40853402,40854366,40899299,40911585,40960895,41087724,41496647,41872503,42104352,42504951,42548831,42608133,42741440,42999263,43144655,43210010,43321511,43639024,43741096,43968314,44010551,44236422,44394284,44497583,44884156,44961251,45073010,45130812,45331704,45748067,45803807,45867714,46743550,47103479,47181794,47183154,47190266,47367396,47406002,47417591,47463314,47565311,47702500,48084120,48119939,48376802,48464493,48636150,49093902,49153074,49208733,49404476,49661507,49716003,49839623,50039027,50742455,50998167,51289728,51297074,51773586,51852012,51878560,51887991,51947660,51970079,52123442,52815603,53259717,53387927,53432931,53438855,53488545,54087612,54094635,54701231,54785507,54972471,56092260,56126255,56462060,56672351,57054448,57123911,57198695,57243000,57424503,57695825,57700944,58363380,58427570,58581825,58598066,59339255,59404463,59831744,59929154,59965682,60029987,60141599,60747505,60842252,60890946,60940895,61059200,62006855,62030056,62083394,62167031,62254272,62337192,62487280,62497847,62589171,63404425,63443699,63494103,64096311,64126626,64186254,64398375,64574354,64913562,65009896,65434010,66776500,67267994,67310712,67315055,67351506,67675881,67722860,67736051,67754472,67782722,68587724,68638434,68691600,68742770,69045602,69049634,69234990,69532199,69549554,69783813,70036056,70113084,70129341,70298190,70367331,70469027,70927331,70945010,71207106,71807564,71962429,72005714,72061655,72291359,72609671,72894266,72897006,73025751,73129074,73136133,73271040,73418087,73429751,73850656,74161895,74242970,74407916,74408226,74462060,74479394,74568986,74594339,74806319,74984736,75023987,75303602,75724551,75959031,76085310,76142517,76223781,76461647,76850546,77129906,77278050,78088972,78155776,78265010,78520812,78790563,78870711,79422385,79439951,79819439,79907855,80131800,80245154,80318451,80319016,80428055,80450234,80566525,80778066,81157664,81267432,81338867,81716711,81864962,82172063,82290044,82429920,82491324,82613114,82816559,83081988,83197731,83541695,83564579,83642402,83969411,83976808,83981762,84113512,84357828,84629271,84914931,85036991,85059107,85088666,85134012,85473920,85665260,85916570,86138207,86473986,86782150,87066825,87673055,87925248,88011794,88176434,88353832,88882343,88994274,89091564,89173911,89354472,89401751,89543522,90148275,90274079,90358893,90511436,90577750,90768431,91082642,91302372,91425861,91794764,92069039,92198951,92501507,92571314,92627906,92733660,92871280,93385106,93490019,93688199,93826895,93852434,93918012,93942003,94473909,94627701,94847495,95043002,95306862,95395000,95440345,95557283,95851084,95889426,96158160,96411074,96513666,96671234,96679830,96717603,96727811,96832460,97188959,97436183,97900655,98638082,98647671,98665007,98915904,99398061,...,271074578666653219125618798113236740440040472277115597369453979673946395586377540894451052821510574527073842232587244505352695608327020982620737390635319728656598102842264155978316584005170136065577853938345102678486869914807071181188779160669678381528871702929040949006316636403698749963158762489204513241287695594998998732501864828563874244754098951143098939562955582033466529589434755527973653989819168659266532364221703783643559374876525282256408014125079801914980501914838363787237126910595598406477925749257953273084951018531818829891145584315210283771589811330713825139007708064384908232694083009536029694408642124668354684365525753319607112391682342369295435975360755323283507772808150195933546144516911911339163134992482074335868928240320053006542950216672461338224917736301310621726831331849926801730522571603051073732893899816111248179370580692307762692284683391031739941595391756119009685479518362276021538918636137250559978910542376315115509299511392981928942906630192631149147495053255347678017073139589009838595053458648769890020275185044786785657158364948951161818153672248027288084613526886671738223197238402046377126397594970807630016231389728376757439979220252951682541513600954008724272326896982717042773378565371886496770677894643938028015543461872106742173035603461778078675118038998132960799996276059057904278491723351480106467801542297052188627454964831134272578023212090337915529725360600988134687653616064410977548715401967391986872930805436528829735527003148193037753732293901265255596755982887822100580813772289808688117471853158165465265341687181222664432209771338382009710458748181848993223842398473053115667693167225287983610477292962477715837230624298983311055351519466650814374624264967154423109273683703884668919399002853567862165122964783037336830421883257484334466506375134276245000741430579939601162597681494531801729238300689015987462320022270124023271001840073686512912547266747542325041492291220612514384749801833364061594906752353686594532376626232875741181008025948447787815172110369787395228645891047733564577042180011655948416418301334801868758674655198529233603171798103068005760711863705166649980687151460441249628539789792299649158748144862233974231830588435515563472481675337087341031683394088142432040068943774526090832482985562850459033093345954022905449517304301975498648116694451518216779172018417361197053756989506581837654563393371677485365267276727539375439202575471718301910825665555664708804850899193423857658184221019986757791929868294887652920635921601944335094537921921530287180877631484081125022680684632137664544724435921231451937934167834835833675634794696566925451165972481653262447664675163219003421192265884382484869214965507782665563897425029773228305287731954675108944288788984520941174130360788564979470046985128263744158003955037262450741568857220339212079648177476961567358105011391431915144204201422335498580310649009873267797059524990874298506475893416308073298854673556182808278926641321902144443411826329120424821290026713596722797848595547556308825202169521970348}
19106   8982210822607703758473836971903663564624225247036391439685111495091629: {362653,648958,705553,877726,1182526,1755268,1843873,1985048,2019406,2212468,2233179,2410333,2550958,2778526,2900312,3149355,3262851,3359312,3650209,3779226,3914206,4676315,4729112,4865655,4970926,5190032,5320251,5404804,5437515,5611578,5800016,5838786,5882209,5949358,6525018,6546193,6680450,6768628,6811203,6926403,7224766,7299646,7676404,8016540,8108575,8184891,8295015,8550976,8681855,8848016,9212259,9543500,9619848,9718909,9730290,9954018,10284659,10378976,10418226,10822329,10966975,11336209,11452200,11541358,11542795,11676348,11689246,11910958,11958771,12153323,12215680,12402650,12405409,12427726,12645399,12883725,13017358,13043473,13160370,13361533,13430955,13573213,13742640,13851354,13973326,14037728,14326352,14448004,14473371,14658816,14692370,14883180,15460470,15569809,15792444,15875392,15986833,16090909,16117146,16169086,16491168,16506493,16532823,16533646,17024353,17361890,17406958,17418855,17585908,17630844,17756963,17833255,17859816,18132958,18259873,18552564,18580112,19126155,19179709,19276568,19363486,19688209,19818628,20092293,20093713,20296033,20401232,20567162,20834268,20877166,20902626,20989100,21399906,21490763,21686139,21738958,22240606,22563359,22800733,22951386,23550215,23586843,23740846,23883358,24097006,24381646,24772093,24802700,24950158,25162909,25186920,25367090,25377015,25386163,25446766,25552573,25776003,26134909,26179132,26473588,26866048,26914948,26931886,27068816,27394712,27483613,27566206,27646455,27897947,27961873,28079575,28152673,28260258,28335285,28671755,28677508,28912993,29007709,29117428,29181358,29381660,29489552,29499743,29763240,29950909,29996404,30224304,30326173,30440508,30452418,30701090,30819051,30980113,31136206,31747456,31775618,32108926,32185213,32188804,32233370,32316958,33139659,33175746,33483645,33695490,34002342,34196893,34406106,34649233,35009809,35214286,35257992,35420158,35449271,35625886,35715888,35906209,35941856,36238700,36351709,36360152,36841308,36883933,37237309,37398760,37855348,38121051,38184146,38273459,38287246,38309403,38355166,38680044,39304366,39333373,39349479,39451975,39529515,39665241,39764833,39854210,40180374,40182958,40385326,40434588,40905171,40959650,41133409,41557309,41749828,41973800,42063613,42073605,42142490,42164816,42334126,42735646,42914955,43003006,43403566,43486440,43732573,43736926,43790331,43858700,44145313,44333188,44878512,45210013,45393740,45530158,45775952,45817655,46101409,46155608,46191358,46385536,46423393,46982686,47042648,47220525,47223313,47334004,47342370,47435418,47825052,48492958,48566653,48615748,48801553,48922245,48957793,49151580,49566891,49922642,50087625,50320126,50368560,50488326,50498528,50504353,50570988,50733853,50797515,51000123,51099358,51114913,51266833,51359655,51497946,51596404,51925059,52065651,52183728,52199326,52352776,52397053,52428352,52630440,52922979,53067409,53426800,53551726,53726464,53808526,54098593,54171709,54184016,54276299,54472488,54513406,54545043,54548780,54608893,54676370,54783632,54981186,55187773,55492855,55830004,55976209,56105195,56139136,56235358,56413515,56425966,56482779,56664630,56673268,56679886,56810844,56870158,56883659,57186958,57387409,57492651,58082209,58701373,58706694,58896873,58981896,59178913,59209245,59285163,59382493,59517853,59628125,59832286,59991074,60056413,60105150,60174416,60442272,60832606,60957018,61156952,61280103,61281549,61448209,61580158,61631586,61755595,61766686,61890958,62164573,62358433,62635246,62808253,62910872,63156528,63747358,63948733,64074013,64112160,64547326,64619324,64815015,64848200,64934575,64942909,65405806,65458536,65537432,65611644,65772766,65858209,65952471,66219793,66288004,66354633,66591426,66757309,67288993,67326234,67609515,67696218,67997556,68022958,68277373,68325358,68386304,68506909,68748046,68792209,68801571,69031448,69136016,69183988,69230158,69693073,69915409,70115325,70136593,70279139,70311166,70420804,70520893,70577575,70738909,70772691,70774731,70785399,70909486,71012956,71051094,71109003,71194971,71225233,71243908,71318060,71492893,71553750,71744446,72116816,72126180,72545533,72565203,72597409,72635566,72954225,73227646,73296628,73479707,73569373,73599323,73640853,73729611,74106714,74120209,74169853,74318353,74465806,74662333,74789680,74994286,75387553,76052815,76324000,76329313,76513726,76566004,76746526,76934592,76945611,77016733,77095246,77309603,77466013,77537570,77599393,77660379,77778018,77817840,77921490,78082909,78109100,78185163,78484366,78685693,78939709,78945358,79149409,79563409,80010493,80130913,80493646,80527633,80955709,81109213,81131418,81187928,81262370,81519358,81748753,82115233,82256926,82259809,82651453,82965409,83005696,83116256,83307409,83452228,83470625,83475709,83839633,83892526,84138390,84229246,84453083,84453406,84478993,84621358,84653575,84658804,84693090,84726673,85029793,85089553,85461748,85502168,85581672,85734655,85812253,85864500,85923709,86292958,86551416,86697313,86999713,87399358,87457309,87545070,87596413,87641355,87710353,87785086,87897099,87910909,87950158,88019809,88115086,88148113,88224958,88389646,88417213,88635409,88826209,89027773,89338813,89611153,89701966,89732113,89747616,89759455,89802008,89819809,89876833,89893731,89948523,89973853,90027709,90080413,90231613,90234508,90339296,90406033,90438973,90492433,90544093,90593953,90697309,90750013,90783709,90870433,90961693,90968209,91023613,91083409,91102993,91134493,91183633,91205053,91213153,91251709,91263378,91336419,91383406,91517912,91588800,92298958,92313320,92674606,93009895,93045084,93077575,93125091,93368951,93381408,93484112,93505788,93636958,93730920,93823108,94434958,94942808,95651566,96189939,96279381,96650206,96861531,97196008,97367668,97370343,97505432,97514844,97590958,97611215,97694720,97695166,98151015,98878178,99210968,99979648,...,406611867999979828688428197169855110660060708415673396054180969510919593379566311341676579232265861790610763348880866758029043412490531473931106085952979592984897154263396233967474876007755204098366780907517654017730304872210606771783168741004517572293307554393561423509474954605548124944738143733806769861931543392498498098752797242845811367131148426714648409344433373050199794384152133291960480984728752988899798546332555675465339062314787923384612021187619702872470752872257545680855690365893397609716888623886929909627426527797728244836718376472815425657384716996070737708511562096577362349041124514304044541612963187002532026548288629979410668587523513553943153963041132984925261659212225293900319216775367867008744702488723111503803392360480079509814425325008692007337376604451965932590246997774890202595783857404576610599340849724166872269055871038461644038427025086547609912393087634178514528219277543414032308377954205875839968365813564472673263949267089472893414359945288946723721242579883021517025609709383514757892580187973154835030412777567180178485737547423426742727230508372040932126920290330007607334795857603069565689596392456211445024347084592565136159968830379427523812270401431013086408490345474075564160067848057829745156016841965907042023315192808160113259553405192667118012677058497199441199994414088586856417737585027220159701702313445578282941182447246701408867034818135506873294588040901482202031480424096616466323073102951087980309396208154793244603290504722289556630598440851897883395133974331733150871220658434713032176207779737248197898012530771833996648314657007573014565688122272773489835763597709579673501539750837931975415715939443716573755845936448474966583027279199976221561936397450731634663910525555827003379098504280351793247684447174556005245632824886226501699759562701414367501112145869909401743896522241797702593857451033523981193480033405186034906502760110529769368820900121313487562238436830918771577124702750046092392360128530529891798564939349313611771512038922671681722758165554681092842968836571600346865563270017483922624627452002202803138011982797793850404757697154602008641067795557749974971030727190661874442809684688449473738122217293350961347745882653273345208722513005631011547525091132213648060103415661789136248724478344275688549640018931034358174275956452963247972175041677277325168758027626041795580635484259872756481845090057516228047900915091309063158803863207577452866238498333497063207276348790135786487276331529980136687894802442331479380953882402916502641806882882295430771316447226121687534021026948206496817086653881847177906901251752253750513452192044850388176748958722479893671497012744828505131788398826573727303822448261673998345846137544659842457931597932012663416433183476781411761195541182847469205070477692395616237005932555893676112353285830508818119472266215442351037157517087147872716306302133503247870465973514809901695589287486311447759713840124462109948282010334274212418389961982853216665117739493680637231935040070395084196772893321334463237803254282955522}
19107   9017889066916011525295274088973596743607344267334046632621160611185643: {973437,1316589,1736917,1773789,2194085,2481310,2537773,2632902,2765585,2939398,2977572,3029109,3224689,3318702,3567773,3625390,3826437,4137973,4167789,4199140,4350468,4541278,4825469,5038968,5075014,5457166,5512097,5668839,5871309,5911390,6448702,6487540,6756005,6883909,7093668,7250020,7456389,7482104,7742014,7785048,8107206,8417367,8460785,8700024,8758179,8924037,9081604,9235204,9422062,9595505,9787527,10020675,10152942,10649509,10688720,10837149,10913188,10949469,11060020,11403262,11514606,11929375,12024810,12283012,12318574,12355013,12535558,12826464,12973720,13272024,13392853,13890968,14315250,14429772,14595435,14931027,15269600,15568464,15627339,15945028,16257598,16860532,16866997,17152337,17178300,17312037,17358869,17514522,17533869,17547160,17851078,17866437,17907940,18022246,18060005,18323520,18468472,18603975,18641589,19088093,19297828,19526037,19545088,19740555,19844240,20308366,20578997,20613960,20777031,20959989,21056592,21489528,21672006,21982385,21988224,22038555,22043764,22324770,22634993,23190705,23198789,23225140,23507792,23685214,23688666,23813088,23966158,23970373,24095710,24175719,24253629,24736752,24773285,24800469,25501540,25803358,25939253,26042835,26110437,26236375,26378862,26446266,26789724,27166726,27199437,27779024,27828846,27870168,28532509,28533208,28571213,28748513,28914852,29045229,29727942,30183166,30601848,30850743,31003375,31048229,31054133,31251402,31315749,31353939,31449124,31483650,31815133,32099859,32608437,32723915,33091985,33360909,33582560,33643685,33836020,34243390,34368004,34427079,35611269,35825037,35846885,36145509,36272909,36396785,36572469,36727075,36861940,36894214,37204050,37247573,37425237,37495505,37680344,37780380,38050635,38170149,39052702,39268698,39305509,39481693,39684320,39710382,40053958,40236005,40299072,40372422,40386157,40397829,40587344,40603224,40954133,41021422,41092068,41162317,41315249,41349309,41999717,42221693,42390387,42903313,43016262,43670878,43676142,43772037,44072490,44186212,44234328,44502289,44644860,44927320,44994606,45298375,45336456,45450190,45660762,45678627,45808679,45874808,46051635,46704309,46748450,47010656,47115893,47319185,47411014,47621184,47663427,47935678,48163389,48283206,48350055,48475437,49121744,49763619,50543235,50736646,50828068,51003513,51058174,51079204,51573392,51609159,52106878,52187285,52465972,52467250,52652614,52689773,52706020,52742062,52821429,52886988,53130237,53257853,53373809,53438829,53512333,53573832,53912784,54358050,54540228,54823375,55047013,55261962,55416485,55634897,55760302,56098140,56742175,56783022,57069853,57219940,57276219,57345253,57430869,57532749,57546173,57694510,57981920,58020066,58387108,58803310,58956549,59167505,59701997,59781315,59838016,60270561,60274437,60402517,60494014,60577989,60580789,60602069,60651882,60769685,61365053,61439475,62624742,62960700,63102214,63123160,63213735,63247224,63501189,63766736,63832222,64103469,64495505,64504509,65105349,65229660,65440970,65535440,65605389,65788050,66089188,66499782,66783500,67158080,67317768,67427984,67730020,68000164,68090610,68094097,68185975,68295237,68479540,68663928,69233412,69287037,69420868,69578304,69787505,70173920,70336174,70474029,70563972,70841585,71001006,71013555,71039437,71153127,71564933,71737578,71907166,71979653,72629984,72660197,72726724,72739437,72779069,72923622,73308248,73727370,73868974,74814397,74883963,74978917,75218020,75246869,75310372,75311566,75480189,75552840,75732489,75747792,75856482,76446190,76649037,76656868,77168614,77246919,77394606,77567173,78275592,78298989,78529164,78576757,78638590,78642528,78837869,78945660,79046884,80078173,80140200,80327589,80386013,80589696,80712789,80774155,81060250,81276024,81470062,81706804,81708732,81770109,81798598,81823170,81921790,82014555,82055509,82174417,82175448,82471779,82860005,82993294,83074957,83173133,83745006,84208704,84353037,84486769,84638949,84996945,85009902,85019829,85046507,85097662,85169797,85216266,85305237,85317253,85482880,85780437,85998526,86289310,86420020,86479985,86643022,86809597,87278048,87482192,87936628,88021102,88026005,88060041,88472844,88766195,88788568,88995166,89054885,89147575,89748429,89768312,89922502,89986611,89998373,90146020,90157725,90261624,90663408,91248909,91435527,91496134,91585973,91607614,91620785,91735428,92078773,92370237,92447379,92650029,92836437,93487100,93627857,93952869,94206958,94241077,94363588,94366308,94380532,94734792,94812004,94835182,94926628,95130622,95405000,95567389,95621037,95707505,96168240,96239878,96753604,96820989,96928986,97272300,97636375,98092973,98104709,98108709,98187804,98306148,98417466,98659149,98808952,99323014,99432006,99553709,99679246,99887139,...,609917801999969743032642295754782665990091062623510094081271454266379390069349467012514868848398792685916145023321300137043565118735797210896659128929469389477345731395094350951212314011632806147550171361276481026595457308315910157674753111506776358439961331590342135264212431908322187417107215600710154792897315088747747148129195864268717050696722640071972614016650059575299691576228199937940721477093129483349697819498833513198008593472181885076918031781429554308706129308386318521283535548840096414575332935830394864441139791696592367255077564709223138486077075494106106562767343144866043523561686771456066812419444780503798039822432944969116002881285270330914730944561699477387892488818337940850478825163051800513117053733084667255705088540720119264721637987513038011006064906677948898885370496662335303893675786106864915899011274586250308403583806557692466057640537629821414868589631451267771792328916315121048462566931308813759952548720346709009895923900634209340121539917933420085581863869824532275538414564075272136838870281959732252545619166350770267728606321135140114090845762558061398190380435495011411002193786404604348534394588684317167536520626888847704239953245569141285718405602146519629612735518211113346240101772086744617734025262948860563034972789212240169889330107789000677019015587745799161799991621132880284626606377540830239552553470168367424411773670870052113300552227203260309941882061352223303047220636144924699484609654426631970464094312232189866904935757083434334945897661277846825092700961497599726306830987652069548264311669605872296847018796157750994972471985511359521848532183409160234753645396564369510252309626256897963123573909165574860633768904672712449874540918799964332342904596176097451995865788333740505068647756420527689871526670761834007868449237329339752549639344052121551251668218804864102615844783362696553890786176550285971790220050107779052359754140165794654053231350181970231343357655246378157365687054125069138588540192795794837697847409023970417657268058384007522584137248332021639264453254857400520298344905026225883936941178003304204707017974196690775607136545731903012961601693336624962456546090785992811664214527032674210607183325940026442021618823979910017813083769508446517321287636698320472090155123492683704373086717516413532824460028396551537261413934679444871958262562515915987753137041439062693370953226389809134722767635086274342071851372636963594738205794811366179299357747500245594810914523185203679730914497294970205031842203663497219071430823604374753962710324323443146156974670839182531301031540422309745225629980822770766860351877628380625770178288067275582265123438083719840507245519117242757697682598239860590955733672392510997518769206316989763686897396898018995124649775215172117641793311774271203807605716538593424355508898833840514168529928745763227179208399323163526555736275630721809074459453200254871805698960272214852543383931229467171639570760186693164922423015501411318627584942974279824997676609240520955847902560105592626295159339982001694856704881424433283}
19108   9053708010967075645611467301056389229232258990342951858080741414612935: {553291,725306,1297916,1351627,1411106,1755452,2033107,2365052,2824891,3510536,3613147,3687746,3721965,3725467,3949353,3970096,4038812,4409097,4424936,4466358,4509691,4820666,4978053,5067691,5101916,5248925,5438085,5557052,5800624,5845867,6298710,6525702,6546841,6718624,6730891,6811917,7281691,7300418,7558452,7612521,7828412,8109425,8185749,8867085,9062525,9140947,9352630,9458224,9673053,9683827,9731310,9941852,10380064,10548691,10640502,10809608,10871827,10875030,11223156,11352005,11544005,11600032,11613021,11677572,11764418,11898716,11944267,12154597,12160809,13050036,13092386,13360900,13537256,13622406,13641485,13825025,13852806,14133093,14449532,14593867,14599292,15013627,15229413,15327691,15352808,15353765,15641107,16033080,16159913,16217150,16369782,16590030,17101952,17104893,17271909,17363710,17696032,17713987,18037215,18424518,18432691,18477861,18637387,18803337,18943891,19087000,19147867,19239696,19437818,19460580,19908036,19931285,20569318,20668507,20757952,20836452,21075665,21272227,21472875,21644658,21773347,21933950,22384925,22672418,22904400,23082716,23085590,23166907,23352696,23378492,23463691,23821916,23917542,24122285,24153667,24306646,24386397,24431360,24805300,24810818,24855452,24966557,25230787,25290798,25425691,25620307,25767450,26034716,26086946,26105587,26271783,26320740,26395891,26589067,26723066,26776617,26861910,27033369,27146426,27485280,27554705,27702708,27946652,28075456,28314691,28600027,28652704,28896008,28946742,29031425,29317632,29384740,29766360,29923027,30001829,30462549,30920940,30952627,31139618,31584888,31750784,31876925,31973666,32181818,32234292,32338172,32342587,32508009,32710507,32970301,32982336,33012986,33065646,33067292,33442891,33487155,34048706,34723780,34813916,34837710,35171816,35261688,35433187,35513926,35522827,35527821,35532999,35666510,35719632,35949237,36143565,36148291,36265916,36519746,37105128,37160224,37300507,37740427,38252310,38359418,38553136,38614867,38705037,38726972,39224933,39311405,39376418,39568293,39637256,39669399,40140457,40184586,40187426,40342147,40592066,40750089,40769467,40802464,40939891,41134324,41194987,41668536,41743269,41754332,41805252,41894593,41978200,42295025,42628291,42799812,42960005,42981526,43212427,43372278,43477916,43710307,44123227,44481212,44591913,45126718,45274749,45513691,45601466,45902772,46077425,46723291,46877103,47100430,47173686,47225475,47481692,47766716,47916691,48194012,48468067,48763292,48859747,49544186,49605400,49900316,50101027,50325818,50373840,50734180,50754030,50772326,50893532,51105146,51172027,51365085,51552006,52153891,52269818,52358264,52752067,52900891,52947176,53049427,53732096,53829896,53863772,54137632,54154267,54227347,54789424,54954187,54967226,55098691,55132412,55232765,55292910,55314907,55341321,55602187,55795894,55806075,55923746,56159150,56305346,56520516,56670570,57343510,57355016,57825986,57928291,58015418,58234856,58362716,58411627,58579053,58763320,58903047,58979104,58999486,59095987,59526480,59565573,59840467,59901818,59992808,60080937,60443107,60448608,60509707,60558633,60652346,60881016,60904836,61402180,61434547,61532133,61638102,61956691,61960226,62151307,62272412,62731267,62795347,62923291,63050947,63494912,63535085,63551236,63849005,64061827,64144717,64186891,64217852,64370426,64377608,64466740,64524393,64622347,64633916,64807891,65238307,65506317,65514213,65543587,65582465,65882525,65907547,66108735,66208867,66279318,66351492,66967290,67390980,67491909,67921027,68004684,68175285,68393786,68491143,68554627,68812212,69298466,69906787,70019618,70122675,70428572,70515984,70730827,70840316,70898542,71001907,71116521,71251772,71431776,71431891,71524925,71812418,71883712,71903517,72424809,72477400,72590587,72703418,72720304,72983885,73003291,73258891,73613707,73682616,73767866,73915027,74014891,74164147,74474618,74797520,75094387,75710696,75951691,76045507,76092307,76104969,76242102,76368292,76510267,76546918,76574492,76587261,76618806,76710332,76739947,77360088,77551891,77684947,77689997,77773291,78160317,78512587,78547273,78555427,78608732,78666746,78698958,78700875,78903950,78978921,79059030,79113093,79330482,79355707,79529666,79708420,80009467,80360748,80365916,80605627,80683891,80770652,80800747,80869176,81537075,81637891,81810342,81919300,82266818,82368691,82440187,82611485,82892943,83114618,83478067,83479375,83499656,83578291,83640453,83842387,83947600,84005107,84069691,84127226,84147210,84284980,84293467,84329632,84482467,84544891,84662525,84668252,84761107,85000205,85174533,85359427,85388587,85471292,85599425,85789267,85829910,86006012,86229907,86337187,86457833,86541765,86776085,86807132,86856307,86972880,87006427,87030099,87178291,87298891,87417691,87465146,87473852,87580662,87717400,88049707,88204965,88290626,88303291,88664227,88666376,88702891,88983691,89109187,89366227,89496691,89757024,89874691,90170107,90385891,90420026,90516787,90720907,90738691,90741021,90764827,90781891,90787480,90798667,90908405,90936691,90977823,91003291,91015747,91060316,91168027,91190707,91233547,91260691,91263787,91273291,91277827,91551904,91635310,92202818,92311216,92382716,92771072,92846786,93937113,93965372,94022525,94085296,94137965,94441050,94446626,94653321,94668008,94684740,94870836,95650104,95748333,95821085,96985916,97133306,97231496,97603106,97844490,97915586,98161455,98303160,98682075,98808605,99133782,99749673,99808189,99845284,...,813223735999959657376856394339710221320121416831346792108361939021839186759132622683353158464531723581221526697761733516058086824981062947862212171905959185969794308526792467934949752015510408196733561815035308035460609744421213543566337482009035144586615108787122847018949909211096249889476287467613539723863086784996996197505594485691622734262296853429296818688866746100399588768304266583920961969457505977799597092665111350930678124629575846769224042375239405744941505744515091361711380731786795219433777247773859819254853055595456489673436752945630851314769433992141475417023124193154724698082249028608089083225926374005064053096577259958821337175047027107886307926082265969850523318424450587800638433550735734017489404977446223007606784720960159019628850650017384014674753208903931865180493995549780405191567714809153221198681699448333744538111742076923288076854050173095219824786175268357029056438555086828064616755908411751679936731627128945346527898534178945786828719890577893447442485159766043034051219418767029515785160375946309670060825555134360356971475094846853485454461016744081864253840580660015214669591715206139131379192784912422890048694169185130272319937660758855047624540802862026172816980690948151128320135696115659490312033683931814084046630385616320226519106810385334236025354116994398882399988828177173712835475170054440319403404626891156565882364894493402817734069636271013746589176081802964404062960848193232932646146205902175960618792416309586489206581009444579113261196881703795766790267948663466301742441316869426064352415559474496395796025061543667993296629314015146029131376244545546979671527195419159347003079501675863950831431878887433147511691872896949933166054558399952443123872794901463269327821051111654006758197008560703586495368894349112010491265649772453003399519125402828735002224291739818803487793044483595405187714902067047962386960066810372069813005520221059538737641800242626975124476873661837543154249405500092184784720257061059783597129878698627223543024077845343363445516331109362185685937673143200693731126540034967845249254904004405606276023965595587700809515394309204017282135591115499949942061454381323748885619369376898947476244434586701922695491765306546690417445026011262023095050182264427296120206831323578272497448956688551377099280037862068716348551912905926495944350083354554650337516055252083591161270968519745512963690180115032456095801830182618126317607726415154905732476996666994126414552697580271572974552663059960273375789604884662958761907764805833005283613765764590861542632894452243375068042053896412993634173307763694355813802503504507501026904384089700776353497917444959787342994025489657010263576797653147454607644896523347996691692275089319684915863195864025326832866366953562823522391082365694938410140955384791232474011865111787352224706571661017636238944532430884702074315034174295745432612604267006495740931947029619803391178574972622895519427680248924219896564020668548424836779923965706433330235478987361274463870080140790168393545786642668926475606508565911044}
19109   9089668205631513983297441040201584652853864834573051215873939877677163: {1087959,1622395,1946874,2116659,2194315,2309527,2633178,2956315,3071719,3473834,3547578,3568147,3871819,3987511,4216459,4388170,4962620,5048515,5075546,5265804,5531170,5531619,5702827,5878796,5955144,6058218,6083011,6160579,6377395,6449378,6637404,6699537,6946315,7135546,7230999,7250780,7455979,7652874,8275946,8335578,8398280,8700936,9082556,9448065,9458407,9650938,9785515,9788553,9849367,10077936,10150028,10914332,10950627,11024194,11337678,11742618,11822780,11845099,12427315,12773827,12897404,12975080,13278547,13433707,13512010,13767818,14025847,14028945,14187336,14500040,14596965,14601379,14873395,14912778,14964208,15484028,15570096,15960753,16021891,16214412,16312545,16701125,16834734,16921570,17400048,17516358,17646627,17848074,18061915,18163208,18249115,18470408,18609811,18844124,19170259,19191010,19575054,19638579,19735147,20041350,20274067,20305884,20433609,20515027,20779209,21299018,21333751,21377440,21674298,21826376,21898938,22120040,22806524,23029212,23739139,23858750,24049620,24196027,24325725,24554673,24566024,24637148,24710026,24885045,25071116,25284007,25534459,25652928,25947440,26045565,26544048,26785706,26821699,27636777,27728167,27781936,28630500,28853395,28859544,28870027,28988311,29156727,29190870,29223115,29777395,29862054,30539200,30775339,30853977,31006625,31069315,31136928,31254678,31470967,31890056,31922827,32130691,32466987,32515196,32543395,32900925,33721064,33733994,33765979,34008627,34304674,34356600,34624074,34628385,34682599,34717738,34933315,35029044,35067738,35094320,35702156,35732874,35815880,35876313,36044492,36120010,36458659,36459969,36647040,36700339,36730925,36936944,36942259,37207950,37216227,37251511,37283178,37663747,37936197,38176186,38595656,38651175,39052074,39090176,39130419,39139531,39481110,39688480,40084599,40292865,40422715,40616732,40719639,41157994,41227920,41334115,41369911,41505379,41554062,41919978,42113184,42979056,43330627,43344012,43404725,43420113,43517395,43531291,43964770,43976448,44019859,44077110,44087528,44649540,45269986,45332395,45813481,45982771,46328779,46381410,46397578,46450280,46707319,46709427,47015584,47101159,47188951,47351419,47370428,47377332,47531011,47626176,47932316,47940746,47960499,48191420,48272727,48351438,48400339,48408715,48507258,49310827,49473504,49519479,49546570,49580311,49598469,49600938,49915627,50185639,50955499,51003080,51073059,51417905,51606716,51878506,52085670,52192915,52195747,52220874,52256565,52472750,52493707,52757724,52892532,53270889,53499765,53579448,54333452,54347395,54398874,54475867,54779619,55379239,55558048,55589491,55601515,55640779,55657692,55682419,55740336,56330407,57065018,57066416,57142426,57378465,57497026,57539127,57552259,57829704,58090458,58189147,58873219,59064627,59352115,59455884,59708395,60242515,60276879,60281139,60366332,60573559,60888099,60954115,61203696,61701486,62006750,62007619,62096458,62108266,62180179,62375395,62502804,62631498,62707878,62898248,62941099,62967300,63417725,63616915,63630266,64199718,64270327,64316311,64472289,65058417,65216874,65447830,66183970,66246859,66721818,67165120,67287370,67329715,67672040,67690077,68402199,68486780,68584471,68736008,68854158,68915515,69254371,70650645,70760529,71222538,71532379,71620627,71650074,71693770,71977411,72291018,72545818,72667879,72793570,72953395,73062199,73144938,73454150,73723880,73788428,74037079,74316279,74408100,74495146,74700499,74850474,74991010,75254827,75360688,75488727,75560760,75617047,76101270,76131045,76158489,76340298,76657719,76752725,76943767,77328009,77583079,77840515,78039511,78105404,78404727,78537396,78611018,78963386,79267579,79364059,79368640,79420764,79439045,79503031,80107916,80272315,80472010,80583425,80598144,80744844,80772314,80792395,80795658,81174688,81206448,81667267,81908266,82042844,82184136,82324634,82450839,82630498,82698618,82834507,82939365,83462227,83693841,83885619,83999434,84238725,84443386,84458019,84576739,84727771,84780774,85005855,85077559,85806626,86011627,86015265,86032524,86091511,86738979,87023127,87230359,87341756,87352284,87544074,88035715,88144980,88372424,88468656,88499229,88550395,89004578,89064715,89289720,89420659,89843191,89852727,89854640,89989212,90293707,90596750,90672912,90900380,90978519,91321524,91357254,91595659,91617358,91749616,91780519,92103270,92457153,92940339,93172027,93408618,93496900,94021312,94231786,94508227,94638370,94822028,95242368,95326854,95460365,95718115,95871356,95887915,96326778,96555639,96566412,96700110,96950874,97468219,97702507,97902247,98243488,98260915,98462839,99178219,99200851,99418977,99527238,99635525,...,1219835603999939486065284591509565331980182125247020188162542908532758780138698934025029737696797585371832290046642600274087130237471594421793318257858938778954691462790188701902424628023265612295100342722552962053190914616631820315349506223013552716879922663180684270528424863816644374834214431201420309585794630177495494296258391728537434101393445280143945228033300119150599383152456399875881442954186258966699395638997667026396017186944363770153836063562859108617412258616772637042567071097680192829150665871660789728882279583393184734510155129418446276972154150988212213125534686289732087047123373542912133624838889561007596079644865889938232005762570540661829461889123398954775784977636675881700957650326103601026234107466169334511410177081440238529443275975026076022012129813355897797770740993324670607787351572213729831798022549172500616807167613115384932115281075259642829737179262902535543584657832630242096925133862617627519905097440693418019791847801268418680243079835866840171163727739649064551076829128150544273677740563919464505091238332701540535457212642270280228181691525116122796380760870990022822004387572809208697068789177368634335073041253777695408479906491138282571436811204293039259225471036422226692480203544173489235468050525897721126069945578424480339778660215578001354038031175491598323599983242265760569253212755081660479105106940336734848823547341740104226601104454406520619883764122704446606094441272289849398969219308853263940928188624464379733809871514166868669891795322555693650185401922995199452613661975304139096528623339211744593694037592315501989944943971022719043697064366818320469507290793128739020504619252513795926247147818331149721267537809345424899749081837599928664685809192352194903991731576667481010137295512841055379743053341523668015736898474658679505099278688104243102503336437609728205231689566725393107781572353100571943580440100215558104719508280331589308106462700363940462686715310492756314731374108250138277177080385591589675395694818047940835314536116768015045168274496664043278528906509714801040596689810052451767873882356006608409414035948393381551214273091463806025923203386673249924913092181571985623328429054065348421214366651880052884043237647959820035626167539016893034642575273396640944180310246985367408746173435032827065648920056793103074522827869358889743916525125031831975506274082878125386741906452779618269445535270172548684143702745273927189476411589622732358598715495000491189621829046370407359461828994589940410063684407326994438142861647208749507925420648646886292313949341678365062602063080844619490451259961645541533720703755256761251540356576134551164530246876167439681014491038234485515395365196479721181911467344785021995037538412633979527373794793796037990249299550430344235283586623548542407615211433077186848711017797667681028337059857491526454358416798646327053111472551261443618148918906400509743611397920544429705086767862458934343279141520373386329844846031002822637255169885948559649995353218481041911695805120211185252590318679964003389713409762848866566}
19110   9125770203921204403546291027545893386034632925929581775640216822033116: {439001,553349,591449,705701,781829,1106582,1124009,1389701,1450612,1503449,1844261,1919909,2071109,2486249,2595832,2599301,2703254,2822212,2862809,2920311,3088361,3510904,3613529,3650981,3725861,3763289,3949767,3987689,4066214,4547429,4730104,4733609,5105369,5210751,5321367,5649782,5772521,5883461,5957381,6203275,6326501,6582255,6621221,6878681,7021072,7099049,7226294,7348495,7375492,7429061,7443930,7450934,7613319,7648709,7831529,7898706,7940192,8050649,8077624,8196569,8296755,8378789,8818194,8849872,8932716,9019382,9063475,9087327,9641332,9674067,9721001,9956106,10135382,10203832,10334021,10497850,10549829,10585769,10703319,10873001,10876170,10980581,11114104,11231321,11353195,11410181,11479311,11601248,11691734,12052421,12159209,12413919,12479141,12503367,12585641,12597420,12687535,13046309,13051404,13093682,13437248,13461782,13576169,13623834,13642915,13646681,13893221,14104229,14476407,14563382,14595461,14600836,14778475,14805509,15015269,15050201,15116904,15225042,15573221,15642821,15656824,15677609,15892807,15990341,16059749,16121755,16161607,16163801,16218850,16371498,16536291,16579289,16717529,16890149,17006517,17097029,17544281,17613927,17715941,17734170,17818841,17955929,18125050,18281894,18332261,18468869,18673541,18705260,18916448,18945989,18980009,19098079,19149989,19183961,19285829,19346106,19355035,19367654,19462620,19760261,19883704,20199401,20268015,20300549,20651727,20670809,20704421,20760128,21006569,21097382,21174149,21274601,21281004,21495271,21508709,21619216,21743654,21750060,21975749,22369167,22446312,22474409,22704010,22872041,23088010,23200064,23202521,23226042,23355144,23466329,23499269,23528836,23555155,23598041,23797432,23888534,24156389,24309194,24321618,24352901,24483749,25233641,25252101,25266149,25382355,25623209,25655621,26100072,26140841,26184772,26205401,26274537,26592089,26721800,26772111,26913449,27074512,27244812,27282970,27362009,27553769,27650050,27705612,27903799,28031909,28222661,28266186,28317929,28349669,28444841,28508155,28786515,28899064,29077481,29187734,29198584,29362581,29486981,29505931,29738309,29926469,29957801,30027254,30062025,30114341,30458826,30520409,30655382,30705616,30707530,30796435,30800741,30894041,30987269,31282214,31328489,31338895,31948527,32066160,32254169,32319826,32377049,32434300,32511447,32714309,32739564,32806121,32848407,33180060,33477209,33771199,33811301,34023401,34114181,34203904,34209786,34265321,34386089,34476581,34543818,34727420,35167961,35257829,35392064,35427974,35437349,35456707,35467241,35556869,35706089,35788125,36074430,36152549,36182249,36849036,36865382,36892649,36955722,37065039,37274774,37304921,37510469,37606674,37774169,37887782,38174000,38183081,38295734,38386949,38474201,38479392,38576587,38875636,38921160,39342761,39400409,39816072,39831749,39862570,40178559,40261289,40346981,40632101,40643995,40944809,41138636,41199941,41337014,41515904,41567321,41672904,42129881,42151330,42213989,42326021,42544454,42800729,42945750,43162181,43289316,43383941,43546694,43715621,43743209,43786305,43798361,43839631,43867900,43991141,44073641,44156069,44210981,44293289,44627695,44703749,44769850,44793081,44867429,44976389,45055615,45344836,45356741,45546329,45808800,46165432,46166501,46171180,46247081,46333814,46356739,46434821,46488389,46705392,46729049,46756984,46835801,46882017,46927382,47234981,47367641,47643832,47835084,47922629,47948969,48244570,48307334,48316889,48578729,48613292,48631001,48772794,48813701,48862720,48865829,48969989,49610600,49621636,49710904,49747109,49875929,49933114,50107301,50461574,50581596,50600991,50746601,50770915,50797529,50851382,50950121,51026309,51178469,51240614,51279749,51457011,51534900,51557609,51936111,52069432,52076607,52173892,52185509,52211174,52260521,52335461,52410329,52460201,52543566,52601607,52641480,52709081,52791782,52932389,53056169,53080901,53178134,53446132,53553234,53599311,53723820,54014789,54066738,54161189,54180015,54185561,54234281,54258629,54292852,54525929,54961241,54970560,54985349,55035967,55109410,55129829,55346009,55405416,55633241,55811925,55893304,55924767,55990661,56038181,56150912,56275301,56346281,56535209,56629382,56676569,56981861,57122309,57200054,57239129,57264279,57305408,57332441,57402341,57727589,57792016,57893484,57935849,58062850,58143461,58212521,58419269,58442201,58556741,58578111,58635264,58716761,58762409,58769480,59058341,59213035,59221665,59443289,59510981,59532720,59578601,59846054,59915395,60003658,60144007,60239275,60317669,60473321,60650729,60739241,60925098,60981989,61070021,61311449,61464581,61736991,61834841,61841880,61905254,62116421,62181209,62279236,62331093,62825129,62879967,62953049,63059429,63080681,63169776,63250409,63501568,63504041,63567269,63651461,63753850,63947332,63966041,64091369,64278821,64341161,64363636,64444901,64468584,64508395,64676344,64685174,64693061,65016018,65145029,65308421,65421014,65552549,65572841,65916581,65936729,65940602,65947155,65964672,66025972,66115665,66131292,66134584,66217961,66237989,66357989,66417881,66656729,66885782,66953669,66974310,67229189,67366361,67464101,67522649,67639529,67756121,67904979,67916815,67930469,67949801,68097412,68526041,68564201,68583269,68849381,69264389,69447560,69526469,69572115,69596367,69627832,69656921,69675420,69935141,69972101,70101209,70156421,70248281,70343632,70523376,70577321,70759001,70866374,70903769,71027852,71045654,71055642,71065998,71084009,71245541,71281349,71333020,71439264,71442089,71459909,71566661,71867561,71898474,71911119,72148649,72236069,72287130,72296582,72305861,72410309,72527157,72531832,72566441,72601049,72618341,72652901,72760887,73013849,73030949,73039492,73218521,73590761,73624409,73875749,73925801,74025689,74141861,74174981,74191529,74210256,74290649,74319855,74320448,74373029,74401407,74601014,74667941,74716841,75008729,75314021,75441701,75457915,75480854,75837401,75978629,76025561,76072421,76119209,76197029,76352069,76382981,76504620,76521689,76718836,76766681,77039849,77070041,77106272,77205509,77229734,77295461,77325871,77410074,77453944,77519081,77578409,77652389,77711429,77799749,77817759,78106601,78128505,78135641,78222569,78331311,78449866,78622810,78709125,78709721,78738089,78752836,78991961,79131881,79136586,79173701,79274512,79338798,79367909,79574249,79656281,79710809,80035289,80062121,80115689,80155781,80182469,80280914,80369172,80374852,80421221,80500229,80618201,80684294,80709509,80774489,80890949,81045221,81134681,81184132,81274469,81325061,81476069,81500178,81538934,81598311,81604928,81663209,81774629,81799301,81879782,81909929,82092869,82268648,82345961,82381829,82389974,82393769,82560089,82607321,82677929,82783301,82876421,82911209,82992101,83084069,83152709,83198309,83255129,83334341,83337072,83356901,83486538,83502761,83508664,83602949,83610504,83789186,83866949,83888741,83932229,83956400,84018821,84083429,84094169,84158441,84243689,84286121,84496361,84506789,84569189,84590050,84600281,84723929,84754661,84775109,84836261,84967769,85117829,85256582,85285721,85291327,85412549,85518809,85597527,85599624,85608475,85643141,85690601,85713639,85784921,85813061,85920010,85952681,85963052,85971161,86136041,86199461,86245539,86253509,86307269,86351849,86360741,86424854,86623781,86701289,86744556,86795141,86955832,86979941,87029669,87135687,87144581,87169001,87314009,87321989,87409241,87420614,87440729,87503321,87557669,87626969,87642281,87756101,87808601,87853289,87919781,87956441,88007429,88065221,88072409,88179269,88193381,88246454,88298201,88401221,88448681,88667141,88680101,88718789,88725209,88858181,88932581,88949119,88962424,88999769,89042021,89183826,89230181,89247401,89354789,89382569,89388607,89513129,89518469,89576681,89628761,89654501,89750489,89794949,89910341,89933801,90007529,90016601,90061481,90070361,90212261,90228869,90253436,90273881,90349349,90380261,90403109,90429401,90473561,90527141,90534149,90549498,90599129,90635429,90654821,90695849,90738521,90759269,90782501,90785369,90819161,90824681,90851801,90906149,90911141,90921029,90933209,90954629,90956969,90988889,90997721,91002089,91027382,91033829,91035881,91041989,91093721,91123301,91142789,91158149,91162601,91174121,91178309,91190441,91198169,91202932,91220741,91222949,91229381,91242329,91244201,91252229,91253081,91264169,91266341,91271129,91277861,91280069,91282649,91283141,91289189,91290281,91292249,91293929,91294661,91805544,91815451,92154850,92235535,92552229,93010125,93144687,93162399,93446582,93754206,93947247,94061817,94200860,94347372,94450950,94963384,95445399,95533432,95833382,96299577,96388024,96936134,97526584,97631755,97719494,97825311,98171745,99088372,99210800,99275955,99800632,...,1829753405999909229097926887264347997970273187870530282243814362799138170208048401037544606545196378057748435069963900411130695356207391632689977386788408168432037194185283052853636942034898418442650514083829443079786371924947730473024259334520329075319883994771026405792637295724966562251321646802130464378691945266243241444387587592806151152090167920215917842049950178725899074728684599813822164431279388450049093458496500539594025780416545655230754095344288662926118387925158955563850606646520289243725998807491184593323419375089777101765232694127669415458231226482318319688302029434598130570685060314368200437258334341511394119467298834907348008643855810992744192833685098432163677466455013822551436475489155401539351161199254001767115265622160357794164913962539114033018194720033846696656111489987005911681027358320594747697033823758750925210751419673077398172921612889464244605768894353803315376986748945363145387700793926441279857646161040127029687771701902628020364619753800260256745591609473596826615243692225816410516610845879196757636857499052310803185818963405420342272537287674184194571141306485034233006581359213813045603183766052951502609561880666543112719859736707423857155216806439558888838206554633340038720305316260233853202075788846581689104918367636720509667990323367002031057046763237397485399974863398640853879819132622490718657660410505102273235321012610156339901656681609780929825646184056669909141661908434774098453828963279895911392282936696569600714807271250303004837692983833540475278102884492799178920492962956208644792935008817616890541056388473252984917415956534078565545596550227480704260936189693108530756928878770693889370721727496724581901306714018137349623622756399892997028713788528292355987597365001221515205943269261583069614580012285502023605347711988019257648918032156364653755004656414592307847534350088089661672358529650857915370660150323337157079262420497383962159694050545910694030072965739134472097061162375207415765620578387384513093542227071911252971804175152022567752411744996064917793359764572201560895034715078677651810823534009912614121053922590072326821409637195709038884805080009874887369638272357978434992643581098022631821549977820079326064856471939730053439251308525339551963862910094961416270465370478051113119260152549240598473380085189654611784241804038334615874787687547747963259411124317188080112859679169427404168302905258823026215554117910890784214617384434098537898073242500736784432743569555611039192743491884910615095526610990491657214292470813124261888130972970329438470924012517547593903094621266929235676889942468312300581055632885141877310534864201826746795370314251159521521736557351728273093047794719581772867201017177532992556307618950969291060692190694056985373949325645516352925379935322813611422817149615780273066526696501521542505589786237289681537625197969490579667208826892165427223378359600764615417096880816644557630151793688401514918712280560079494767269046504233955882754828922839474993029827721562867543707680316777878885478019946005084570114644273299849}
19111   9162014560997548002830461911081050012867403144411926034379512254983949: {1659873,1813265,2175918,2271353,2729441,3072041,3244790,3527765,3893748,3987929,4054881,4138841,4216901,4233318,4388630,4619054,4712513,5266356,5912630,6099321,6143438,6502529,6885353,6947668,7067921,7095156,7136294,7189013,7743638,7975022,8333153,8432918,8474673,8776340,8928353,9219365,9724841,9925240,10097030,10151092,10531608,10839441,11062340,11063238,11165895,11176401,11405654,11640161,11757592,11848059,11910288,12051665,12116436,12166022,12321158,12754790,12898756,13227291,13274808,13399074,13529073,13699721,13892630,13926281,14271092,14461998,14501560,14840729,14911958,14934159,15096341,15203073,15305748,15746775,16212401,16314255,16551892,16576001,16671156,16796560,17126849,17398241,17401872,17537601,18165112,18251045,18896130,18916814,19301876,19571030,19577106,19640523,19698734,20155872,20192673,20300056,20435751,20822753,21828664,21845073,21901254,21993413,22048388,22056929,22675356,22837563,23381575,23485236,23645560,23690198,23960261,24328275,24557247,24854630,25286681,25376321,25547654,25548761,25794808,25950160,26061653,26505281,26557094,26601255,26867414,27024020,27187575,27422841,27535636,28051694,28057890,28374672,28538513,29000080,29019159,29051481,29193930,29202758,29411045,29746790,29825556,29928416,29977193,30278321,30968056,31140192,31646073,31921506,32043782,32428824,32615481,32625090,32730965,33402250,33669468,33843140,34056015,34258913,34539353,34632015,34800096,34839063,35032716,35293254,35696148,35832801,36123830,36326416,36463791,36482427,36498230,36940816,37192961,37219622,37667729,37688248,38340518,38382020,39150108,39277158,39470294,39490001,40082700,40242053,40394753,40542875,40548134,40611768,40747913,40867218,40912361,40924455,41030054,41475075,41558418,41688353,41838809,42399279,42598036,42667502,42754880,42912341,43348596,43409275,43497041,43652752,43781601,43797876,44024513,44240080,44511701,45040881,45560753,45613048,45688239,45983073,46058424,46061295,46533449,46923321,47478278,47541509,47580353,47717500,48099240,48225833,48392054,48479739,48594545,48651450,48891713,48906641,49109346,49132048,49274296,49420052,49770090,49995209,50142232,50568014,51068918,51305856,51314679,51321701,51423295,51815727,51894880,52091130,53088096,53141961,53571412,53643398,54111645,54741881,54834875,55273554,55298073,55433583,55456334,55563872,55912161,56173013,56410011,56591801,56681045,56690273,56831673,57261000,57443601,57706790,57713975,57719088,57740054,57867761,57976622,58195301,58313454,58381740,58446230,58594913,59423249,59554790,59724108,59793855,59973653,60766615,60924353,61078400,61550678,61707954,62005521,62013250,62027045,62138630,62186753,62273856,62509356,62933441,62941934,63226995,63463961,63465353,63780112,63816681,63845654,64261382,64323113,64418625,64683641,64933974,65030392,65034929,65086790,65217365,65320041,65801850,66807665,67154775,67442128,67467988,67531958,67772201,67866065,68017254,68609348,68713200,69248148,69256770,69302633,69365198,69435476,69500721,69866630,70058088,70135476,70188640,70391073,70902101,71404312,71465748,71631760,71752626,71985067,72088984,72240020,72366855,72461001,72632633,72917318,72919938,73070081,73159191,73294080,73400678,73461850,73873888,73884518,74415900,74432454,74503022,74566356,74899671,75327494,75455621,75692361,75872394,75955841,76086353,76277073,76352372,76860921,77191312,77302350,77842121,77849045,78104148,78180352,78260838,78279062,78316761,78815349,78962220,79187673,79376960,79465073,79767201,79934165,79947953,80169198,80329851,80454545,80585730,80845430,81100107,81233464,81439278,81742553,82198049,82315988,82455840,82532465,82664115,82668230,82739822,83010758,83092961,83108124,83488793,83591753,83839956,84090809,84226368,84339521,84944073,85064213,85121765,85335761,85800081,85958112,86502449,86661254,86688024,86809450,86840226,87034790,87062582,87094275,87325553,87929540,87952896,88039718,88154220,88175056,88433153,88784815,88860833,89031953,89063681,89166275,89299080,89365601,89430113,89769081,90005487,90113969,90254561,90539972,90664790,91299365,91387647,91626962,91965542,92228513,92657558,92762820,92795156,92857881,92900560,93414638,93418854,94031168,94202318,94261601,94377902,94702838,94740856,94754664,94918241,95062022,95252352,95587601,95630775,95864632,95881492,95898545,95920998,96382840,96481721,96515861,96545454,96702876,96800678,96817430,97014516,97027761,97524027,97912601,98049353,98131521,98441045,98621654,98910903,98947008,99038958,99093140,99160622,99196938,99201876,99330353,99831254,...,2439671207999878972130569183019130663960364250494040376325085817065517560277397868050059475393595170743664580093285200548174260474943188843586636515717877557909382925580377403804849256046531224590200685445105924106381829233263640630699012446027105433759845326361368541056849727633288749668428862402840619171589260354990988592516783457074868202786890560287890456066600238301198766304912799751762885908372517933398791277995334052792034373888727540307672127125718217234824517233545274085134142195360385658301331743321579457764559166786369469020310258836892553944308301976424426251069372579464174094246747085824267249677779122015192159289731779876464011525141081323658923778246797909551569955273351763401915300652207202052468214932338669022820354162880477058886551950052152044024259626711795595541481986649341215574703144427459663596045098345001233614335226230769864230562150519285659474358525805071087169315665260484193850267725235255039810194881386836039583695602536837360486159671733680342327455479298129102153658256301088547355481127838929010182476665403081070914425284540560456363383050232245592761521741980045644008775145618417394137578354737268670146082507555390816959812982276565142873622408586078518450942072844453384960407088346978470936101051795442252139891156848960679557320431156002708076062350983196647199966484531521138506425510163320958210213880673469697647094683480208453202208908813041239767528245408893212188882544579698797938438617706527881856377248928759467619743028333737339783590645111387300370803845990398905227323950608278193057246678423489187388075184631003979889887942045438087394128733636640939014581586257478041009238505027591852494295636662299442535075618690849799498163675199857329371618384704389807983463153334962020274591025682110759486106683047336031473796949317359010198557376208486205006672875219456410463379133450786215563144706201143887160880200431116209439016560663178616212925400727880925373430620985512629462748216500276554354160771183179350791389636095881670629072233536030090336548993328086557057813019429602081193379620104903535747764712013216818828071896786763102428546182927612051846406773346499849826184363143971246656858108130696842428733303760105768086475295919640071252335078033786069285150546793281888360620493970734817492346870065654131297840113586206149045655738717779487833050250063663951012548165756250773483812905559236538891070540345097368287405490547854378952823179245464717197430990000982379243658092740814718923657989179880820127368814653988876285723294417499015850841297293772584627898683356730125204126161689238980902519923291083067441407510513522503080713152269102329060493752334879362028982076468971030790730392959442363822934689570043990075076825267959054747589587592075980498599100860688470567173247097084815230422866154373697422035595335362056674119714983052908716833597292654106222945102522887236297837812801019487222795841088859410173535724917868686558283040746772659689692062005645274510339771897119299990706436962083823391610240422370505180637359928006779426819525697733132}
19112   9198401834179763997207285940880515505342729995562500697509899122887420: {591511,819967,878002,1106698,1162111,1182898,1411402,1563658,1957927,2213164,2248018,2637247,2779402,2901224,3006898,3263877,3651367,3688522,3763687,3839818,4142218,4867185,4972498,5191664,5198602,5406508,5644424,5725618,5840622,6176722,6349977,6582945,6928581,7021808,7227058,7301962,7451722,7526578,7868911,7899534,7975378,8088007,8132428,8684585,8868945,9094858,9215157,9460208,9467218,10210738,10287893,10421502,10586911,10642734,10704441,10970425,11299564,11447167,11545042,11615457,11661511,11766922,11914762,11962533,12196111,12406550,12409447,12649377,12653002,12688865,13164510,13242442,13471807,13757362,13827925,14042144,14198098,14452588,14696990,14750984,14842111,14858122,14887860,14901868,15051847,15145545,15226638,15297418,15663058,15679327,15797412,15880384,15894473,16096207,16101298,16123445,16155248,16393138,16593510,16594857,16757578,17108481,17636388,17699744,17762549,17838865,17865432,17957911,18038764,18126950,18174654,18249033,18481737,18982111,19100081,19132185,19186087,19282664,19287967,19348134,19442002,19912212,20098611,20201647,20270764,20407664,20668042,20689865,20706727,20838945,20995700,21099658,21171538,21406638,21511111,21692997,21746002,21752340,21961162,22011511,22228208,22310887,22367937,22462642,22570457,22706390,22820362,22958622,23202496,23383468,23501911,24104842,24127345,24318418,24780487,24827838,24958282,25006734,25171282,25194840,25269007,25375070,25394149,25658527,26092618,26102808,26187364,26240647,26874496,26916511,26923564,27097049,27108967,27152338,27247668,27285830,27293362,27560485,27786442,28208458,28344195,28352911,28375221,28952814,29017687,29112367,29126764,29190922,29201672,29356545,29365659,29490367,29548101,29556950,29611018,29961247,30030538,30100402,30233808,30430327,30450084,31146442,31285642,31313648,31355218,31785614,31980682,32119498,32243510,32288647,32323214,32327602,32437700,32742996,32851881,32977217,33072582,33158578,33435058,33780025,33780298,34013034,34194058,34419545,35088562,35227854,35431882,35468340,35471407,35535297,35637682,35911858,36186511,36250100,36563788,36664522,36937738,37281945,37347082,37410520,37832896,37891978,37960018,38196158,38216767,38299978,38321481,38367922,38391511,38571658,38692212,38710070,38735308,38925240,39233161,39520522,39692911,39767408,39835641,39865207,39911417,40301121,40398802,40536030,40601098,41303454,41341618,41408842,41520256,41903381,42013138,42077541,42078847,42086835,42194764,42247111,42303925,42348298,42549202,42562008,42833767,42990542,43017418,43115009,43238432,43487308,43500120,43748527,43790895,43804137,43874453,43951498,44620185,44736511,44738334,44892624,44948818,44981887,45408020,45744082,46176020,46400128,46405042,46452084,46710288,46932658,46998538,47057672,47110310,47196082,47594864,47777068,47882259,47954911,47977525,48065673,48312778,48349111,48618388,48643236,48705802,48937635,48967498,48976087,49365607,49907911,50103375,50467282,50504202,50532298,50764710,51246418,51311242,51589327,51810473,52200144,52281682,52369544,52410802,52549074,52939881,53087647,53184178,53247545,53443600,53544222,53826007,53826898,54149024,54185745,54192487,54265567,54489624,54565940,54724018,54747345,54775111,54785237,54992407,55107538,55300100,55411224,55496911,55807598,55829433,56063818,56445322,56532372,56635858,56699338,56707447,56889682,56901593,57016310,57479647,57510777,57573030,57798128,58104967,58154962,58375468,58397168,58449847,58725162,58792927,58915737,58973962,59011862,59205441,59476618,59541367,59646875,59852938,59915602,60054508,60124050,60228682,60680911,60822201,60917652,61012111,61040818,61300827,61310764,61411232,61415060,61538287,61545081,61592870,61601482,61775065,61788082,61864807,61974538,62337627,62478773,62564428,62656978,62677790,63077861,63089167,63280111,63897054,64001253,64132320,64508338,64639652,64754098,64868600,65022894,65428618,65479128,65581807,65612242,65696814,65945767,66247087,66360120,66367111,66954418,66964265,67258111,67375687,67542398,67622602,67959247,68046802,68228362,68407808,68419572,68530642,68592847,68772178,68953162,68991511,69087636,69274111,69454840,70276567,70335922,70515658,70784128,70855948,70874698,70913414,70934482,71079281,71113738,71217417,71412178,71470111,71576250,71576887,72148860,72159007,72305098,72364498,72420727,72588081,72628807,72977175,73041511,73398847,73664019,73698072,73730764,73785298,73911444,74130078,74202367,74301511,74400367,74549548,74609842,74655135,74695207,75020938,75035911,75213348,75548338,75775564,75852021,76348000,76366162,76456111,76591468,76603377,76773898,76948402,76958784,77153174,77366911,77751272,77842320,78136695,78335527,78685522,78800818,79227607,79600207,79632144,79663498,79725140,80357118,80465097,80522578,80525911,80693962,81185647,81264202,81287990,81889618,82154407,82277272,82399882,82406911,82674028,82898249,82910331,82936111,83031808,83040007,83108911,83134642,83177527,83184501,83345808,83347807,83847847,83881553,84107911,84259762,84302660,84334985,84427978,84520687,84652042,84981847,85088908,85131967,85571527,85601458,85761685,85891500,86324362,86375407,86534167,86560185,86578632,86610081,86638567,86716111,86767882,86794345,86964933,87093388,87337111,87431242,87470181,87486418,87572610,87572911,87596722,87669345,87679262,87735800,87756367,87982282,88087927,88147282,88312138,88421962,88484647,88586578,88741111,88779487,88874167,89058127,89255390,89332185,89407498,89502727,89534911,89539700,89586162,89734858,89952778,89955247,90111230,90118111,90300025,90311753,90366511,90401287,90606487,90689672,90713407,90713482,90803047,90974911,91009111,91022287,91053967,91092658,91111927,91176511,91217911,91242607,91271767,91289911,91302007,91308487,91315111,91617600,92326017,92330864,92333002,92342360,92494162,92561931,92667628,92713478,92869642,92976778,93019875,93207945,93410784,93458098,93513968,93671602,93764034,93854764,94412901,94469962,94735282,95083541,95287664,95440465,95670168,95768481,95845258,95897938,96392073,96489140,96614668,96633778,97157458,97226584,97262002,97400961,97545588,97627402,97630185,97725440,97731658,97939978,98702775,99221200,99243272,99421808,99494218,99751858,99866228,...,3659506811999818458195853774528695995940546375741060564487628725598276340416096802075089213090392756115496870139927800822261390712414783265379954773576816336864074388370566105707273884069796836885301028167658886159572743849895460946048518669040658150639767989542052811585274591449933124502643293604260928757383890532486482888775175185612302304180335840431835684099900357451798149457369199627644328862558776900098186916993001079188051560833091310461508190688577325852236775850317911127701213293040578487451997614982369186646838750179554203530465388255338830916462452964636639376604058869196261141370120628736400874516668683022788238934597669814696017287711621985488385667370196864327354932910027645102872950978310803078702322398508003534230531244320715588329827925078228066036389440067693393312222979974011823362054716641189495394067647517501850421502839346154796345843225778928489211537788707606630753973497890726290775401587852882559715292322080254059375543403805256040729239507600520513491183218947193653230487384451632821033221691758393515273714998104621606371637926810840684545074575348368389142282612970068466013162718427626091206367532105903005219123761333086225439719473414847714310433612879117777676413109266680077440610632520467706404151577693163378209836735273441019335980646734004062114093526474794970799949726797281707759638265244981437315320821010204546470642025220312679803313363219561859651292368113339818283323816869548196907657926559791822784565873393139201429614542500606009675385967667080950556205768985598357840985925912417289585870017635233781082112776946505969834831913068157131091193100454961408521872379386217061513857757541387778741443454993449163802613428036274699247245512799785994057427577056584711975194730002443030411886538523166139229160024571004047210695423976038515297836064312729307510009312829184615695068700176179323344717059301715830741320300646674314158524840994767924319388101091821388060145931478268944194122324750414831531241156774769026187084454143822505943608350304045135504823489992129835586719529144403121790069430157355303621647068019825228242107845180144653642819274391418077769610160019749774739276544715956869985287162196045263643099955640158652129712943879460106878502617050679103927725820189922832540930740956102226238520305098481196946760170379309223568483608076669231749575375095495926518822248634376160225719358338854808336605810517646052431108235821781568429234768868197075796146485001473568865487139111222078385486983769821230191053221980983314428584941626248523776261945940658876941848025035095187806189242533858471353779884936624601162111265770283754621069728403653493590740628502319043043473114703456546186095589439163545734402034355065985112615237901938582121384381388113970747898651291032705850759870645627222845634299231560546133053393003043085011179572474579363075250395938981159334417653784330854446756719201529230834193761633289115260303587376803029837424561120158989534538093008467911765509657845678949986059655443125735087415360633555757770956039892010169140229288546599698}
19113   9234932582953216389384146255258724560646008484705856150364613854876891: {1317003,1660047,1774347,2117103,2345487,2538571,2766455,3225703,3319746,3372027,3626530,4169103,4351836,4510347,4542706,4713007,4826987,4938871,5458882,5513831,5532783,5759727,6084287,6144082,6213327,6489580,6758135,7055530,7457543,7458747,7684807,7787496,7797903,7975858,8109762,8277682,8433802,8466636,8588427,8760933,8777260,9238108,9265083,9425026,10165535,10532712,10840587,10952943,11177583,11289867,11825260,11849301,11963067,12198642,12286876,12907111,13005058,13642287,13770706,13895336,14124455,14135842,14190312,14200827,14272588,14378026,14863211,15316107,15487276,15564667,15632253,15950044,15964101,16666306,16865836,16872331,16949346,17317563,17552680,17650383,17856706,17872143,18065735,18308011,18438730,18609825,18613727,18627335,18979503,19094111,19449682,19746765,19850480,19863663,20194060,20302184,20636043,21063216,21110111,21297147,21678882,22045485,22124680,22126476,22287183,22331790,22352802,22548455,22811308,22839957,22946127,23206103,23280322,23494587,23515184,23696118,23820576,24103330,24151947,24232872,24332044,24589707,24642316,24890265,25136367,25338455,25509580,25551463,25797512,25825067,25947431,26244625,26454582,26549616,26798148,26827343,27058146,27190425,27261981,27399442,27785260,27852562,28542184,28923996,29003120,29022201,29163003,29229335,29250647,29681458,29823916,29868318,30192682,30406146,30611496,31002063,31324423,31493550,31649487,31757307,31991111,32109957,32424802,32619003,32628510,32734205,32941743,33103784,33152002,33342312,33593120,33654455,33693963,34059585,34230543,34253698,34437933,34796482,34803744,35075202,36157263,36330224,36408455,36477627,36502090,37241757,37437423,37510101,37756923,37792260,37833628,38062605,38603752,38895047,39138927,39142060,39147767,39154212,39281046,39397468,39732011,40311744,40385346,40547125,40600112,40728507,40871502,40928745,40940043,41175463,41645506,41679663,42312687,43017367,43429221,43657328,43690146,43786383,43802508,43986826,44096776,44113858,44155511,44335425,44416527,44516407,45045807,45150603,45312625,45350712,45675126,45704735,45735407,45823351,45992447,46719663,46763150,46928463,46970472,47032827,47123311,47291120,47361383,47380396,47678421,47920522,47971023,47992751,48179247,48361247,48365265,48419135,48484821,48491403,48656550,49114494,49608873,49709260,49737867,49860607,50152587,50573362,50670447,50752642,51019551,51095308,51097522,51291087,51589616,51900320,52123306,52632843,52743455,52841781,53010562,53114188,53147823,53202510,53456523,53734828,53867787,54048040,54359135,54375150,54501227,54845682,54996783,55071272,55311911,55406607,56020623,56103388,56115780,56749344,56760025,56837967,56940027,57077026,57123467,57294237,57449967,57551883,57564431,57720025,57857487,58000160,58038318,58065105,58102962,58387860,58405516,58822090,59085247,59280783,59416127,59493580,59651112,59721335,59856832,59954386,60556642,60598203,60599947,60772985,60804045,60901647,61936112,61955181,62012427,62113263,62280384,63019707,63292146,63292751,63522447,63823803,63843012,64087564,64109767,64485813,64526127,64857648,65041807,65230962,65250180,65461930,65927247,66804500,67107501,67338936,67423227,67686280,68032363,68112030,68115631,68207425,68517826,68616123,69078706,69125125,69264030,69600192,69607563,69678126,70065432,70398987,70497807,70586508,70665465,70794123,71392296,71665602,71992613,72247660,72306103,72469167,72652832,72802367,72815471,72927582,72964854,72969335,72996460,73058703,73451247,73881632,74016107,74385922,74439244,75002863,75068135,75270743,75276431,75335458,75376496,75700923,75756303,75798447,76147065,76444303,76638455,76681036,76764040,76768825,76869627,76966863,77856587,78205535,78300216,78422523,78554316,78616203,78823611,78863147,78940588,78980002,79136383,79353463,79776267,80072927,80165400,80316333,80484106,80740347,80789506,80799565,81085750,81096268,81223536,81495826,81734436,81824722,81848910,82060108,82086027,82307591,82490111,82661307,82950150,83023307,83116836,83376706,83677618,83711397,84095727,84513487,84667983,84798558,84953787,85049007,85073261,85196072,85196731,85334523,85335004,85509760,85524465,85824682,86359545,86697192,86818550,86837863,86994082,87232443,87305504,87563202,87595752,87837047,88049026,88087743,88460943,88480160,88517793,88519211,88569935,89023402,89214927,89779407,89873403,90081762,90186075,90343023,91121506,91226096,91304311,91376478,91430887,91561227,91615031,91966146,92116848,92122590,92163455,92389305,92402223,92682123,92796943,92961807,93066898,93186935,93530731,93657743,93846642,93985467,94016685,94719455,94876487,94956556,95012491,95083018,95160706,95344811,95435000,95597707,95739335,95845581,96198480,96451666,96762507,96784108,96959478,97131147,97189090,97302900,97534341,97783426,97813282,98142927,98218692,98264096,98418363,98545221,98548592,98840104,99380047,99540180,99656425,99990418,...,5489260217999727687293780661793043993910819563611590846731443088397414510624145203112633819635589134173245305209891701233392086068622174898069932160365224505296111582555849158560910826104695255327951542251488329239359115774843191419072778003560987225959651984313079217377911887174899686753964940406391393136075835798729724333162762778418453456270503760647753526149850536177697224186053799441466493293838165350147280375489501618782077341249636965692262286032865988778355163775476866691551819939560867731177996422473553779970258125269331305295698082383008246374693679446954959064906088303794391712055180943104601311775003024534182358401896504722044025931567432978232578501055295296491032399365041467654309426467466204618053483597762005301345796866481073382494741887617342099054584160101540089968334469961017735043082074961784243091101471276252775632254259019232194518764838668392733817306683061409946130960246836089436163102381779323839572938483120381089063315105707884061093859261400780770236774828420790479845731076677449231549832537637590272910572497156932409557456890216261026817611863022552583713423919455102699019744077641439136809551298158854507828685641999629338159579210122271571465650419318676666514619663900020116160915948780701559606227366539745067314755102910161529003970970101006093171140289712192456199924590195922561639457397867472155972981231515306819705963037830469019704970044829342789476938552170009727424985725304322295361486889839687734176848810089708802144421813750909014513078951500621425834308653478397536761478888868625934378805026452850671623169165419758954752247869602235696636789650682442112782808569079325592270786636312081668112165182490173745703920142054412048870868269199678991086141365584877067962792095003664545617829807784749208843740036856506070816043135964057772946754096469093961265013969243776923542603050264268985017075588952573746111980450970011471237787261492151886479082151637732082090218897217403416291183487125622247296861735162153539280626681215733758915412525456067703257235234988194753380079293716604682685104145236032955432470602029737842363161767770216980464228911587127116654415240029624662108914817073935304977930743294067895464649933460237978194569415819190160317753925576018655891588730284884248811396111434153339357780457647721795420140255568963835352725412115003847624363062643243889778233372951564240338579037508282212504908715776469078646662353732672352643852153302295613694219727502210353298230708666833117578230475654731845286579832971474971642877412439372785664392918910988315412772037552642781709283863800787707030669827404936901743166898655425631931604592605480240386110942753478564565209672055184819279143384158745318601603051532598977668922856852907873182076572082170956121847976936549058776139805968440834268451448847340819199580089504564627516769358711869044612875593908471739001626480676496281670135078802293846251290642449933672890455381065204544756136841680238484301807139512701867648264486768518424979089483164688602631123040950333636656434059838015253710343932819899547}
19114   9271607368977772535413332074974416442550998015080838340035195348707677: {781993,1183022,1579573,1639934,1756004,1920313,2147113,2213396,2324222,2365796,2822804,3127316,3164149,3726649,3915854,4426328,4496036,4979619,5274494,5439795,5558804,5802448,5847733,5958649,6013796,6527754,6814059,7173973,7302734,7377044,7503913,7527374,7679636,8111975,8188323,8271253,8284436,9216123,9686953,9734370,9944996,10383328,10397204,10583295,10813016,10971575,10982953,11288848,11451236,11547635,11681244,11963787,12055033,12158419,12164643,12353444,12416523,12650703,12699954,12907513,13165890,13649653,13857162,13966633,14043616,14137539,14177593,14454116,14603924,14781575,14903444,15053156,15123349,15358595,15646249,15737822,15750613,15799068,15950756,16063273,16176014,16264856,17369170,17616853,17737890,17764411,17822773,17840735,18189716,18297963,18430314,18920416,18934436,19359095,19507587,19937555,20421476,20575786,20656059,20843004,21082295,21173822,21203763,21285468,21379753,21408882,21567039,21880693,21940850,22572823,22599128,22777849,22894334,23090084,23230914,23273749,23323022,23533844,23829524,23925066,24260149,24392222,24813100,24818894,24974411,24999459,25242575,25298754,25306004,25336873,25377730,25396811,25424019,26211349,26329020,26484884,26785059,26943614,27514724,27655850,27658095,28084288,28396196,28514135,28609849,28905176,28965811,29174523,29393980,29501968,29556649,29684222,29716244,29775720,29803736,29933353,30011267,30103694,30291090,30415055,30453276,30594836,30802895,30963349,31326116,31358654,31521493,31594824,31760768,31788946,31886975,32192414,32202596,32246890,32310496,32518323,32786276,32813749,33180373,33187020,33189714,33497685,33515156,33529203,33778283,34182649,34216962,34731575,34920483,35272776,35399488,35445673,35525098,35535349,35544177,35677730,35730864,35915822,36077528,36154995,36253900,36349308,36498066,36963474,37279895,37401913,37841653,37964222,38200162,38264370,38372174,38565328,38575934,38584679,38696268,38884004,39409813,39681873,39824424,40197222,40270933,40403294,40442293,40541528,40587219,40698793,40815328,41099163,41336084,41379730,41413454,41677890,41778843,41991400,42199316,42343076,42813276,43022222,43228153,43385994,43394473,43492004,43504680,43809013,43848827,43922324,44023022,44139349,44221753,44456416,44522187,44621774,44735874,44802477,44925284,45041833,45140914,45289023,45412780,45609219,45640724,45917244,46366463,46404992,46499833,46766936,46980649,47003822,47240325,47292035,47379349,48187363,48209684,48254690,48486133,48636836,48637203,48643093,48877993,48927575,48942765,49246835,49560974,49655676,49728003,49916564,50013468,50342564,50389680,50538014,50750140,50788298,50810293,51317054,51380547,52185236,52194723,52205616,52374728,52473493,52481294,52612803,52772149,53069027,53748992,53833022,53847128,54194098,54217934,54248149,54304676,54495336,54571660,54586724,54753135,55047673,55120970,55572884,56052649,56416916,56688390,56691253,56705822,56750442,57043513,57905628,58035374,58224734,58253528,58381844,58403344,58713090,58731318,58777813,58921569,58980734,59096202,59113900,59119273,59222036,59225495,59922494,60061076,60200804,60467616,60533749,60578019,60600313,60620351,60860654,60900168,61230559,61307253,62136575,62176249,62292884,62468259,62571284,62627296,62710436,62820649,63394453,63521173,63571228,63869135,63961364,64238996,64462393,64487020,64577294,64646428,64648693,64655204,64710649,64875400,65326249,65485992,65535219,65570473,65692153,65703762,65954434,65980239,65995093,66145164,66170787,66317156,66392735,66870116,67168535,67560050,67560596,67658293,67774933,68026068,68388116,68512689,68583349,68640553,68839090,69377653,69991849,70129235,70144725,70177124,70455708,70863764,70936680,70942814,71070594,71275364,71301673,71823716,71880783,71888149,72373022,72500200,72621973,72673849,72983593,72984825,73006895,73127576,73329044,73494073,73645813,73671741,73875476,73997353,74196649,74366975,74546563,74563890,74694164,74821040,74885113,75607093,75665792,75783956,75860043,75920036,76079413,76126249,76128963,76392316,76405753,76433534,76590649,76599956,76642962,76646283,76735844,76783022,77093173,77143316,77228713,77384424,77420140,77470616,77850480,77940649,78159349,78184959,78466322,78591349,78762133,79041044,79385822,79475113,79515843,79534816,79598773,79671282,79730414,79803765,79822834,79884793,80046649,80086933,80109455,80207353,80602242,80797604,80877493,81072060,81202196,81562725,81825193,82268523,82606908,82683236,82817684,83040512,83179513,83383849,83505625,83685493,83806762,83916073,84026276,84078613,84155082,84157694,84173670,84334933,84366649,84389528,84494222,84607850,84648853,84696596,84803113,84864313,85016053,85098404,85124016,85314133,85431349,85615539,85667534,85719349,85832533,85981084,86000149,86034836,86165173,86230018,86273749,86381173,86476864,86485091,86824873,86926249,86974616,87000240,87026473,87057477,87154443,87174649,87497054,87581790,87608274,87672853,87748906,87854293,87898933,87902996,88224553,88233135,88391593,88432633,88593913,88711849,89175349,89240370,89245333,89473022,89476668,89577973,89785248,89897636,89931579,89963774,90050293,90104149,90221113,90246313,90309575,90471349,90568873,90737173,90816040,90834963,90851833,90860149,90946873,90969013,90983413,91038133,91188793,91227349,91245575,91246249,91260073,91275733,91281493,91301653,91321849,91331893,91488164,92352040,92800256,92810084,92904168,93049055,93420576,93749971,93865316,93997076,94115344,94220620,94392164,94512011,94938219,95189728,95554136,95764518,95851295,95909822,95955050,96131346,96625556,96698222,97236776,97286472,97411604,97846443,97875270,97934996,97952174,98192895,98675735,98731214,99815822,...,7319013623999636916391707549057391991881092751482121128975257451196552680832193604150178426180785512230993740279855601644522781424829566530759909547153632673728148776741132211414547768139593673770602056335317772319145487699790921892097037338081316301279535979084105623170549182899866249005286587208521857514767781064972965777550350371224604608360671680863671368199800714903596298914738399255288657725117553800196373833986002158376103121666182620923016381377154651704473551700635822255402426586081156974903995229964738373293677500359108407060930776510677661832924905929273278753208117738392522282740241257472801749033337366045576477869195339629392034575423243970976771334740393728654709865820055290205745901956621606157404644797016007068461062488641431176659655850156456132072778880135386786624445959948023646724109433282378990788135295035003700843005678692309592691686451557856978423075577415213261507946995781452581550803175705765119430584644160508118751086807610512081458479015201041026982366437894387306460974768903265642066443383516787030547429996209243212743275853621681369090149150696736778284565225940136932026325436855252182412735064211806010438247522666172450879438946829695428620867225758235555352826218533360154881221265040935412808303155386326756419673470546882038671961293468008124228187052949589941599899453594563415519276530489962874630641642020409092941284050440625359606626726439123719302584736226679636566647633739096393815315853119583645569131746786278402859229085001212019350771935334161901112411537971196715681971851824834579171740035270467562164225553893011939669663826136314262182386200909922817043744758772434123027715515082775557482886909986898327605226856072549398494491025599571988114855154113169423950389460004886060823773077046332278458320049142008094421390847952077030595672128625458615020018625658369231390137400352358646689434118603431661482640601293348628317049681989535848638776202183642776120291862956537888388244649500829663062482313549538052374168908287645011887216700608090271009646979984259671173439058288806243580138860314710607243294136039650456484215690360289307285638548782836155539220320039499549478553089431913739970574324392090527286199911280317304259425887758920213757005234101358207855451640379845665081861481912204452477040610196962393893520340758618447136967216153338463499150750190991853037644497268752320451438716677709616673211621035292104862216471643563136858469537736394151592292970002947137730974278222444156770973967539642460382106443961966628857169883252497047552523891881317753883696050070190375612378485067716942707559769873249202324222531540567509242139456807306987181481257004638086086946229406913092372191178878327091468804068710131970225230475803877164242768762776227941495797302582065411701519741291254445691268598463121092266106786006086170022359144949158726150500791877962318668835307568661708893513438403058461668387523266578230520607174753606059674849122240317979069076186016935823531019315691357899972119310886251470174830721267111515541912079784020338280458577093199396}
19115   9308426756096193732343061438946794751965571398371588194020920078506403: {1774533,2195005,2459901,2634006,2766745,2957245,3320094,3486333,3528505,3548694,3569269,3873037,3909145,4234206,4690974,4827493,5077142,5514409,5532910,5620045,5704621,5873781,6162517,6451406,6503893,6639492,6744054,6948505,7190521,7253060,7517245,7911741,8334901,8338206,8703672,9020694,9085412,9221305,9401017,9426014,9461389,9599545,9653974,9791631,9877742,10087501,10355545,10917764,10954101,11027662,11065566,11106733,11291061,11519454,12168574,12288164,12426654,12431245,12979160,12996505,13516270,14030269,14111060,14231749,14314045,14601555,14915086,14917494,15221749,15281893,15369614,15441805,15574992,15595806,15951716,16219524,16555364,16867604,16933272,17176854,17521866,17554520,17565613,17965093,18067645,18254905,18476216,18530166,18629305,18816445,18850052,19049931,19741369,19748835,19774237,19938445,20331070,20785743,21065424,21340477,21528133,21676309,21681174,21905886,21998041,22355166,22579734,22737145,23606733,23650520,23668045,23698602,23926134,24264021,24397284,24573752,24948313,25292029,25526845,25814222,26010116,26053755,26078269,26606835,26700493,27284574,27340093,27541412,27645471,27736909,27790672,28248910,28271684,28380624,28401654,28545176,28756052,28760617,28862605,28879129,29417305,29726422,29786905,29983501,30632214,30863679,30974552,31016375,31129334,31264506,31267933,31332649,31567837,31632505,31760733,31900088,31928202,32113323,32721469,32911275,33094909,33106105,33332612,33551653,33731672,33744662,33898692,34341501,34393405,34546621,34635126,34846371,34984533,35105360,35300766,35473837,35495245,35713412,35744286,35887599,36131470,36288181,36588333,36616022,36742475,36877460,37145305,37219650,37227454,37228341,37254670,37948131,37959006,38066595,38188222,38243545,38899364,39157645,39493530,39700960,39727326,39736213,40148053,40250521,40253245,40388120,40415421,40604368,40921069,40982845,41272086,41483775,41847613,41893945,42126432,42220222,42594294,43357764,44090970,44249360,44252952,44526333,44574366,44663580,44705604,44800117,45096910,45155541,45317375,45436635,45622616,45679914,45827887,45892254,46412206,46560644,46956013,46989174,47030368,47037981,47116237,47392236,47551513,47641152,47683419,48206660,48235981,48288621,48303894,48370335,48465744,48605005,48636949,48664088,48889573,49179414,49284632,49326421,49350277,49780530,49784571,50272734,50676910,50971837,51019160,51102926,51325443,51595024,51650134,51670105,51894862,52489250,52711957,52749145,52909164,52928845,53099232,53287647,53396281,53516595,53596296,53638957,53654686,53873733,54116292,54365005,54380850,54523962,54747099,54798884,54902905,55445211,55570520,55705124,56156605,56765975,56869993,56946333,57050905,57084368,57154201,57300243,57396555,57558261,57570517,57847992,57863901,58006240,58010053,58044402,58207609,58326006,58458670,58501294,58891837,59362916,59647832,59736636,59834149,60262105,60295833,60385364,60604941,60796045,60812292,61222992,61430233,62004126,62069595,62120181,62174521,62395705,62516835,62648846,62928205,62987100,63298974,63437675,63477469,63514614,63935317,63982222,63986629,64219914,64290853,64336717,64410541,64533333,64849604,65078991,65231545,65238006,65257020,65468410,65510269,65883486,66034533,66207568,66304004,66684624,66932661,67103811,67186240,67308910,67387926,67711371,67786789,67880845,68119170,68214575,68233405,68352493,68461086,68507396,68875866,69466105,69592964,69607488,69825997,70150404,70505733,70521145,70738957,71595469,72314526,72382035,72660448,72816910,72955254,72977305,73004180,73457017,73840837,73892375,74027545,74341461,74483514,74874846,75020202,75076345,75251005,75278701,75513846,75584520,75667256,75807021,76102789,76125210,76182447,76375357,76624117,76853293,76975581,77207504,77790094,77864821,77866105,78214105,78277854,78284120,78295534,78308424,78388045,78562092,78567193,78721941,78726493,78794936,79389157,79464022,79464035,79951705,80298745,80467909,80608775,80623488,80749533,80770692,80808035,80819005,81094250,81200224,81291147,81326901,81381997,81457014,81743004,81857490,81880086,82350926,82681455,82896445,83291012,83359326,83488621,83587645,83609869,83892661,84450745,84625374,85032585,85058733,85082179,85125663,85485145,86034734,86039161,86858442,87053061,87314656,87337101,87380292,87473581,87572766,87605016,87721405,87973652,88069635,88096977,88193552,88227716,88311022,88471101,88579705,88644303,88670850,88833054,88929973,89032814,89094205,89495641,89779645,89883741,90091614,90301206,90625250,90701424,90935053,91290981,91350252,91409470,91470814,91624717,91646702,91661305,91836109,91984894,91990837,92121781,92344345,92910781,93201901,93367705,93439326,93526300,93856926,93940944,94065654,94246622,94582240,94631641,94722766,94729945,94760792,94886521,94900045,95356842,95490395,95642893,95738269,95749945,95841044,95919805,95942046,95985502,96358494,96429145,96722494,96730530,96775175,96779101,96838270,96865941,96969642,96982806,97126957,97313100,97488313,97933309,98228988,98555643,98657029,98801305,98931651,99217746,99326869,99418520,99475734,99721214,99731269,...,10978520435999455374587561323586087987821639127223181693462886176794829021248290406225267639271178268346490610419783402466784172137244349796139864320730449010592223165111698317121821652209390510655903084502976658478718231549686382838145556007121974451919303968626158434755823774349799373507929880812782786272151671597459448666325525556836906912541007521295507052299701072355394448372107598882932986587676330700294560750979003237564154682499273931384524572065731977556710327550953733383103639879121735462355992844947107559940516250538662610591396164766016492749387358893909918129812176607588783424110361886209202623550006049068364716803793009444088051863134865956465157002110590592982064798730082935308618852934932409236106967195524010602691593732962146764989483775234684198109168320203080179936668939922035470086164149923568486182202942552505551264508518038464389037529677336785467634613366122819892261920493672178872326204763558647679145876966240762178126630211415768122187718522801561540473549656841580959691462153354898463099665075275180545821144994313864819114913780432522053635223726045105167426847838910205398039488155282878273619102596317709015657371283999258676319158420244543142931300838637353333029239327800040232321831897561403119212454733079490134629510205820323058007941940202012186342280579424384912399849180391845123278914795734944311945962463030613639411926075660938039409940089658685578953877104340019454849971450608644590722973779679375468353697620179417604288843627501818029026157903001242851668617306956795073522957777737251868757610052905701343246338330839517909504495739204471393273579301364884225565617138158651184541573272624163336224330364980347491407840284108824097741736538399357982172282731169754135925584190007329091235659615569498417687480073713012141632086271928115545893508192938187922530027938487553847085206100528537970034151177905147492223960901940022942475574522984303772958164303275464164180437794434806832582366974251244494593723470324307078561253362431467517830825050912135406514470469976389506760158587433209365370208290472065910864941204059475684726323535540433960928457823174254233308830480059249324217829634147870609955861486588135790929299866920475956389138831638380320635507851152037311783177460569768497622792222868306678715560915295443590840280511137927670705450824230007695248726125286487779556466745903128480677158075016564425009817431552938157293324707465344705287704306604591227388439455004420706596461417333666235156460951309463690573159665942949943285754824878745571328785837821976630825544075105285563418567727601575414061339654809873803486333797310851263863209185210960480772221885506957129130419344110369638558286768317490637203206103065197955337845713705815746364153144164341912243695953873098117552279611936881668536902897694681638399160179009129255033538717423738089225751187816943478003252961352992563340270157604587692502581284899867345780910762130409089512273683360476968603614279025403735296528973537036849958178966329377205262246081900667273312868119676030507420687865639799094}
19116   9345391310342557948609266408149734220292958991419662800354936754598353: {553523,705923,820139,896243,1503923,1563986,1958339,2033963,2366044,2600123,2976563,3159146,3279868,3512008,3727043,3764483,3840626,3951009,4294226,4426792,4648444,4731592,4846763,4980141,5218403,5323041,5645608,5885339,6254632,6328298,6351309,6733763,6880883,6991139,7036461,7431443,7453298,7615713,7831708,8299365,8852656,8927123,8992072,9066325,9289883,9677109,9724139,9959238,10116081,10445339,10548988,10697003,10879590,10984139,11091683,11117608,11342339,11356765,11604896,11695466,11917298,12027592,12163163,12412139,12483203,12507309,12589739,13055508,13227443,13531041,13628118,13647205,14139021,14347946,14424923,14480961,14605468,14754088,14810363,14816613,15007826,15054748,15125003,15159923,15359272,15360205,15682763,15752339,16099739,16166689,16169123,16223950,16376646,16541493,16542506,16568872,16598349,17206043,17279181,17550083,17638825,17824739,18064643,18252861,18432246,18440843,18639981,18782003,19292243,19373906,19468740,19868339,19889992,19939645,20274405,20307323,20694205,20766656,20794408,21084505,21166590,21281723,21382139,21502033,21626032,21716339,21943150,21965906,22372629,22376241,22577696,22780403,22813523,22902472,22979003,23054421,23095270,23362488,23393709,23562565,23606003,23927574,24110066,24262883,24316838,24329286,24706888,24833046,24949163,24977029,25301406,25339739,25399908,25567043,25761563,25765281,25815026,26246603,26282799,26311139,26331780,27102733,27115139,27299306,27714324,27795249,27912577,27933266,27977843,28087232,28136963,28275078,28327643,28355186,28454603,28908232,29087483,29207848,29515213,29560043,29563150,29591483,29806888,29968139,30014413,30106312,30124739,30246698,30496605,30717190,30904739,30998003,31292498,31475644,31501226,31525139,31598136,31901512,32126546,32352028,32357603,32512645,32521761,32529712,32817563,32858829,32909339,33214739,33458483,33532749,33869601,33914123,34126139,34216883,34426765,34488683,34738340,34820003,35180339,35233706,35270243,35339605,35467861,35475780,35479739,35528822,35539523,35547903,35569403,35645546,35681470,35889201,35945065,36165323,36284123,36379432,36521339,36595926,36860628,36905723,37406339,37758323,37840832,37868872,38284139,38487923,38575139,38718190,38721333,39015174,39500963,39875110,39919789,40361483,40447139,40842952,40926861,40959563,41073083,41151572,41312118,41665765,41686008,42145139,42164590,42229283,42347644,42373365,42407526,42570936,42581077,42602481,42759506,42817764,43124053,43134078,43761386,43814339,43881700,44089739,44172203,44309483,44589633,44641765,45047339,45145646,45198256,45237683,45373403,45555698,45644243,45788668,45948321,46096825,46180168,46264139,46461828,46547498,46646044,46694001,46853123,46896759,47067688,47385203,47659048,47850132,47892303,48520298,48596843,48624205,48784444,48988283,49429739,49626200,49637788,49765763,49948822,49998918,50485150,50597508,50612008,50616993,50673746,50755460,50793622,50848038,50969339,51045563,51299123,51652763,51821341,51952689,52180283,52191853,52280363,52355339,52422698,52430243,52554923,52658040,52729139,52951149,52969768,53298803,53570118,53616429,53839739,53887228,54035483,54197205,54255083,54279443,54796729,54924033,55029448,55054739,55223243,55311700,55316190,55343363,55829475,55841181,55882005,56131139,56168576,56368139,56722139,56769203,56792392,56938509,57028270,57219698,57282333,57424739,57494603,57810352,57819683,57931622,58166243,58200805,58235339,58349046,58739843,58787960,58808339,59003936,59113298,59217803,59240295,59368444,59432488,59534483,59551440,59590989,59602139,59607472,59669723,59827139,59866706,60022534,60096083,60207388,60258325,60582180,60830110,60906552,61189672,61554683,61605790,61908129,61924739,61926698,62206163,62400203,62652232,62717308,62717941,62850443,62957123,63042986,63189648,63330333,63424139,63521536,63577892,63593003,63773950,63891441,64096523,64221683,64304963,64367339,64384828,64405192,64493780,64620992,65036646,65233043,65396339,65572552,65599739,65627498,66004139,66136455,66208849,66360746,66374040,66379428,66445283,66604739,66743843,66861549,66995370,67030312,67058406,67139123,67550723,67556566,67645365,67752157,68036123,68365298,68433924,68498605,68519871,68612003,68650139,68838381,68840339,68945569,69463150,69618309,69631405,69742163,69835043,69840966,70057139,70186163,70278083,70333139,70483761,70545552,70661963,70798976,70891346,71050196,71070698,71088354,71114363,71355460,71365523,71461728,71543963,71642233,71650643,71831644,71951339,72155056,72309990,72441563,72455841,72507800,72649739,72684323,72698616,72996132,73301363,73769121,73926948,73958123,74008139,74124563,74203645,74224043,74372723,74559790,74670795,74749739,74803826,74912339,75041843,75395339,75409101,75481705,75683306,75928444,75996803,76015365,76059443,76106339,76153163,76400324,76528740,76602083,76654389,76744348,76846883,77074523,77130656,77151868,77169358,77285363,77392536,77475201,77598683,77657963,77731883,77768008,77842293,77952443,78258203,78359339,78733875,78745763,78819626,79070339,79168283,79210139,79251923,79363746,79487339,79624739,79648848,79693139,79829339,80059043,80072483,80193083,80394444,80482029,80498339,80541866,80655923,80806588,80851283,80884586,81062005,81083056,81083339,81121763,81174438,81211139,81397586,81552203,81571275,81630656,81785943,81813443,82198326,82289243,82385339,82421243,82469003,82599683,82672168,82717643,82759460,82823123,82826908,82880005,82915693,82951163,83066723,83204339,83355780,83397323,83557686,83710139,83897003,83982800,84092339,84398632,84600563,84642083,84686152,84796643,84908843,85030139,85209923,85357763,85455323,85626552,85634245,85686203,85762139,85828163,85856339,85884443,85931123,86042339,86044444,86179739,86297363,86404739,86456306,86771483,86771988,86788946,86949563,86984008,86991205,87009360,87066603,87115883,87214139,87238523,87270923,87478403,87489009,87618026,87688005,87697654,87711083,87751941,87787043,87802139,87844648,87966083,87988139,88046044,88278698,88324283,88365923,88443506,88516139,88529603,88669043,88912832,89044374,89108363,89138243,89197403,89243548,89296139,89416789,89420483,89453723,89471748,89599739,89604954,89678339,89693843,89815283,89850568,89927339,89960603,89984123,90080723,90083666,90281828,90292403,90492323,90554339,90578046,90600203,90697643,90748523,90754739,90785339,90825560,90852683,90872339,90913139,90952139,91058339,91096283,91153763,91217723,91218438,91233563,91255225,91264763,91276403,91279739,91281448,91311683,91322603,91329443,91336043,91340723,91341203,91347083,91348139,91351643,91834488,92732926,92809984,92949829,92999666,93006189,93533872,93961298,93973269,94007644,94035949,94480650,94584070,94758698,94948461,95271921,95973333,96329871,96374726,96419368,96509380,96972266,97273672,97274406,97286186,97755986,97855150,97857009,97885530,98180929,98202615,98493670,98825229,99121948,99122353,99311352,99456006,99833128,...,16467780653999183061881341985379131981732458690834772540194329265192243531872435609337901458906767402519735915629675103700176258205866524694209796481095673515888334747667547475682732478314085765983854626754464987718077347324529574257218334010682961677878955952939237652133735661524699060261894821219174179408227507396189172999488288335255360368811511281943260578449551608533091672558161398324399479881514496050441841126468504856346232023748910897076786858098597966335065491326430600074655459818682603193533989267420661339910774375807993915887094247149024739124081038340864877194718264911383175136165542829313803935325009073602547075205689514166132077794702298934697735503165885889473097198095124402962928279402398613854160450793286015904037390599443220147484225662852026297163752480304620269905003409883053205129246224885352729273304413828758326896762777057696583556294516005178201451920049184229838392880740508268308489307145337971518718815449361143267189945317123652183281577784202342310710324485262371439537193230032347694649497612912770818731717491470797228672370670648783080452835589067657751140271758365308097059232232924317410428653894476563523486056925998888014478737630366814714396951257956029999543858991700060348482747846342104678818682099619235201944265308730484587011912910303018279513420869136577368599773770587767684918372193602416467918943694545920459117889113491407059114910134488028368430815656510029182274957175912966886084460669519063202530546430269126406433265441252727043539236854501864277502925960435192610284436666605877803136415079358552014869507496259276864256743608806707089910368952047326338348425707237976776812359908936245004336495547470521237111760426163236146612604807599036973258424096754631203888376285010993636853489423354247626531220110569518212448129407892173318840262289407281883795041907731330770627809150792806955051226766857721238335941352910034413713361784476455659437246454913196246270656691652210248873550461376866741890585205486460617841880043647201276746237576368203109771705704964584260140237881149814048055312435708098866297411806089213527089485303310650941392686734761381349963245720088873986326744451221805914933792229882203686393949800380713934583708247457570480953261776728055967674766190854652746434188334302460018073341372943165386260420766706891506058176236345011542873089187929731669334700118854692721015737112524846637514726147329407235939987061198017057931556459906886841082659182506631059894692126000499352734691426964195535859739498914424914928632237318118356993178756732964946238316112657928345127851591402363121092009482214810705229500695966276895794813777816440721158332828260435693695629016165554457837430152476235955804809154597796933006768570558723619546229716246512868365543930809647176328419417905322502805354346542022457598740268513693882550308076135607133838626781725415217004879442029488845010405236406881538753871927349801018671366143195613634268410525040715452905421418538105602944793460305555274937268449494065807893369122851000909969302179514045761131031798459698641}
19117   9382501599950714819412572281945203258094768636123989694207737070295909: {2345979,2957555,3073007,3549066,3873443,3989183,4099835,4140143,4218227,4390010,4738719,4919802,4939907,5268012,5472803,5533490,5705219,5760939,5810555,5914490,6163163,6441339,6640188,6887519,6972666,7057010,7097388,7138538,7686419,7746074,7761083,7818290,7868063,8468412,9381948,9492447,9654986,9727907,9789635,10049363,10154284,10507019,10524143,11028818,11065820,11179947,11240090,11409242,11747562,12325034,12902812,12909827,13007786,13126139,13186235,13278984,13439363,13488108,13897010,14381042,14497763,14506120,14938857,15034490,15823482,16319385,16581227,16669802,16676412,17012543,17403743,17407344,17543199,17875947,18041388,18060419,18170824,18195107,18256835,18442610,18802034,18818435,18841439,18852028,18922778,19199090,19307948,19583262,19755484,20039663,20175002,20282603,20441723,20442177,20711090,21521919,21618527,21835528,21908202,22055324,22063883,22131132,22213466,22511739,22582122,23038908,24226463,24335925,24337148,24564969,24576328,24813759,24853308,24862490,25294703,25442339,25556867,25958320,25993010,26081027,26343023,26513663,27032540,27648369,27913823,28060538,28222120,28463498,28628090,29060859,29203110,29830172,29834988,30287867,30443498,30563786,30739228,30883610,31149984,31191612,31749885,31832003,31903432,32144219,32311019,32439048,32914725,32948859,33110728,33135263,33735208,33866544,34353708,34642905,35018843,35043732,35109040,35131226,35188319,35737583,35891361,35930186,36135290,36165099,36475257,36493929,36509810,36952432,37060332,37249569,37258610,37632890,37700104,37952109,38099862,38670827,38722539,39344555,39482738,39497670,39548474,39876890,40152299,40407647,40440035,40662140,40948959,40962707,41184227,41571486,41701667,41899899,42130848,42412617,42532779,42680954,43026419,43056266,43352618,43362348,43422925,43549619,43811772,43996082,44285507,44344725,44710332,45159468,45370047,45474290,46075785,46348547,46938747,46960979,47133227,47213466,47251839,47301040,47336090,47397204,47447699,47852268,48150767,48189819,48528042,48794568,49147504,49693343,49871099,49896626,49936643,50070719,50584058,51053690,51439465,51628444,52003427,52020232,52107510,52156538,52217723,52850559,52934555,53213670,53293233,53400986,53468319,53522205,53540963,54358943,54498803,54569148,54680186,54820703,54852125,54893889,55082824,55290942,55473818,55539923,55581344,56354543,56497820,56543368,56761248,56803308,57090352,57235835,57375983,57512104,57521234,57725210,57758258,58077285,58213763,58307555,58522761,58651523,58834610,59452844,59573810,59644139,59812665,59967002,59992619,60980555,61264428,61727358,61949104,61968177,62032750,62047235,62258668,62529012,62535866,62665298,62953343,63135674,63246885,63265010,63444325,63521466,63611289,63800176,63856404,64139259,64226646,64343519,64701117,64704299,65055563,65442938,65642079,65822550,66189818,66212210,66462419,66665224,67103306,67359035,67463344,67489324,67718469,67797384,68047007,68333547,68683002,68786810,69093242,69139625,69270252,69692742,69821247,69969066,70210720,70601532,70924523,70947674,70990490,71426824,71457119,71488572,71775198,72008123,72262940,72338147,72576362,72780447,73176666,73232044,73484950,73754920,73848803,74100383,74210555,74290610,74439300,74454908,74456682,74509340,74641583,74923233,74998377,75018827,75114107,75259235,75479483,75727725,75896262,75918012,75980099,76010619,76111007,76133190,76190433,76272057,76376444,76487090,76864067,77265323,77421227,77798728,78315290,78396635,78619247,78634047,78734819,78987060,79401920,79454652,79472365,79472426,79871267,80122979,80296106,80355177,80481035,80501042,80506490,80617225,80776240,80780219,80830842,81208736,81642623,81842138,81965690,82099019,82399739,82544172,82967550,82974285,83695226,83787890,84252864,84366947,84440444,84612827,85114463,85188588,85542405,85638719,85829547,86497907,86715528,86897433,87353987,87523569,88099487,88181940,88461119,88498720,88505904,88669947,88812745,89052666,89148732,89194325,89327160,89411208,89600234,89789555,89800059,90033801,90193820,90283103,90311082,90634750,90826619,90873270,91245165,91245232,91324163,91359828,91655774,91784508,92408685,92824412,92890047,93121288,93912026,93978348,94060736,94075962,94232474,94564479,94784472,94910555,95033183,95103026,95282304,95366838,95500405,95526767,95660925,95930435,96060299,96413320,96439835,96471962,96577242,96607788,96740670,96931488,97210010,97252547,97273898,97328176,97554969,97779146,97943663,98080667,98337059,98358828,98441247,98569264,98652842,98700554,98729603,99541119,99561060,99569142,99965627,...,21957040871998910749175122647172175975643278254446363386925772353589658042496580812450535278542356536692981220839566804933568344274488699592279728641460898021184446330223396634243643304418781021311806169005953316957436463099372765676291112014243948903838607937252316869511647548699598747015859761625565572544303343194918897332651051113673813825082015042591014104599402144710788896744215197765865973175352661400589121501958006475128309364998547862769049144131463955113420655101907466766207279758243470924711985689894215119881032501077325221182792329532032985498774717787819836259624353215177566848220723772418405247100012098136729433607586018888176103726269731912930314004221181185964129597460165870617237705869864818472213934391048021205383187465924293529978967550469368396218336640406160359873337879844070940172328299847136972364405885105011102529017036076928778075059354673570935269226732245639784523840987344357744652409527117295358291753932481524356253260422831536244375437045603123080947099313683161919382924306709796926199330150550361091642289988627729638229827560865044107270447452090210334853695677820410796078976310565756547238205192635418031314742567998517352638316840489086285862601677274706666058478655600080464643663795122806238424909466158980269259020411640646116015883880404024372684561158848769824799698360783690246557829591469888623891924926061227278823852151321876078819880179317371157907754208680038909699942901217289181445947559358750936707395240358835208577687255003636058052315806002485703337234613913590147045915555474503737515220105811402686492676661679035819008991478408942786547158602729768451131234276317302369083146545248326672448660729960694982815680568217648195483473076798715964344565462339508271851168380014658182471319231138996835374960147426024283264172543856231091787016385876375845060055876975107694170412201057075940068302355810294984447921803880045884951149045968607545916328606550928328360875588869613665164733948502488989187446940648614157122506724862935035661650101824270813028940939952779013520317174866418730740416580944131821729882408118951369452647071080867921856915646348508466617660960118498648435659268295741219911722973176271581858599733840951912778277663276760641271015702304074623566354921139536995245584445736613357431121830590887181680561022275855341410901648460015390497452250572975559112933491806256961354316150033128850019634863105876314586649414930689410575408613209182454776878910008841413192922834667332470312921902618927381146319331885899886571509649757491142657571675643953261651088150210571126837135455203150828122679309619747606972667594621702527726418370421920961544443771013914258260838688220739277116573536634981274406412206130395910675691427411631492728306288328683824487391907746196235104559223873763337073805795389363276798320358018258510067077434847476178451502375633886956006505922705985126680540315209175385005162569799734691561821524260818179024547366720953937207228558050807470593057947074073699916357932658754410524492163801334546625736239352061014841375731279598188}
19118   9419758195362773029786462704199008507072692055302495594314594770249138: {591697,705997,1107046,1276417,1411846,1640278,1792486,2071981,2638081,3007846,3127972,3764881,3916678,4067926,4732088,5200246,5323599,5953126,6218497,6318292,6559736,6585015,7024016,7379703,7454086,7528966,7681252,7902018,8200081,8300235,8528077,8588452,8853584,8871735,9296888,9463184,9693526,9960282,10436806,10458999,10585515,10646082,10698157,10707807,11128717,11291216,11619111,11727435,11770678,12200077,12509264,12656596,12692855,12702618,12733057,13467526,13582081,13761766,13793617,13832275,13982278,14072922,14482479,14846977,14862886,14906596,15161581,15231426,15663416,15899471,16128515,16517377,16543227,16598730,16724881,16860135,17035597,17113863,17621343,17705312,17854246,17963857,17984144,18066637,18132650,18477037,18487551,18579766,19106087,19294381,19354218,19448278,19511679,19918476,20232162,20309581,20845515,20890678,21097976,21394006,21504287,21571563,21759180,21968278,22118797,22183366,22235216,22551735,22684678,22713530,22816081,23014657,23209792,23390932,23565035,23608657,23735223,23834596,24055184,24134935,24326326,24494797,24694355,24824278,24966406,25004703,25014618,25179478,25764481,26111016,26454886,27062082,27214381,27256236,27294410,27502417,27569155,27663915,27694081,27915503,28171981,28203051,28278042,28362637,28384167,28457857,28695892,28798635,28849846,28961922,28971887,29122381,29210936,29374893,29508176,29518307,29594881,29620726,29633226,30015652,30109496,30250006,30253357,30262503,30319846,30421435,30534481,30718544,30720410,30814957,31066635,31187917,31365526,31504678,32115277,32199478,32333378,32338246,32392081,32447900,32753292,32862303,32987591,33082986,33085012,33137744,33196698,33320199,33492817,33790675,33873183,34402177,34412086,34558362,35100166,35277650,35471579,35573581,35649478,36129286,36199297,36288397,36505722,36864492,36881686,37279962,37287715,37293735,37564006,37792081,38424035,38492497,38584486,38747812,38937480,38989515,39245503,39707137,39736678,39779984,39793357,39879290,39965581,40548810,40614646,41078017,41388410,41533312,41588816,41916563,42090807,42169010,42262417,42333180,42346477,42563446,42695247,42764278,42942135,43004066,43252064,43432678,43804665,43886300,43929937,43931812,44424577,44745258,44752482,44998381,45155392,45517703,45560806,45627046,45665247,45804944,45845679,45958006,46108842,46190540,46325415,46377217,46724976,46787418,46858897,47125130,47212006,47855148,48197471,48220132,48525766,48633676,48658572,48994381,49150477,49413776,49475447,49666092,49898326,49954058,50323091,50602812,50679478,50695597,50799816,50827675,51134086,51153517,51305581,51523126,51530562,51630052,51684481,52211917,52493206,52565598,52586497,52622278,52663560,52696839,53080159,53330257,53895279,54140077,54202935,54205466,54230278,54286381,54598612,54650881,54764715,54796177,54868717,55374481,55428648,55590498,55825154,55866532,55887915,55948177,55955686,56174464,56273926,56449335,56550156,56655286,56710372,56909206,56941057,57149793,57362257,57816464,57850381,58174966,58332071,58415696,58747537,59030426,59089357,59120086,59126300,59182966,59224107,59246505,59322711,59564881,59613776,59700097,59815335,59936278,60028826,60212624,60249478,60493396,60633067,60771457,60993210,61102477,61243403,61434380,61809478,61996006,62357229,62498471,62584996,62951288,62986897,63002452,63050278,63196272,63685837,63803024,64021431,64126081,64253092,64535555,64584399,64704056,64715206,65025290,65028927,65043522,65059424,65635126,65717658,65818678,65994123,66394477,66429478,66454417,66916966,67065498,67168081,67344877,67739202,67828246,68045581,68073887,68211435,68252278,68433766,68853530,68977366,69476680,69640006,70306381,70360678,70467412,70540486,70622275,70679210,70690177,70820199,70935722,70951560,70959478,71004135,71057644,71079046,71095806,71138806,71291092,71362940,71554177,71660881,71778402,71890130,72330646,72347437,72568246,72758864,72792063,73042678,73191852,73721256,73811446,74121203,74135377,74316055,74334097,74383597,74482381,74812678,74844939,75069037,75117457,75516646,75549997,75681664,75722999,75737744,75876087,76023757,76490317,76568278,76580535,76766797,76975846,77086081,77150278,77176657,77401837,77436380,77442666,77446657,77625217,77758381,77823335,78030348,78161265,78234807,79001926,79750220,79760017,79820505,79839578,80070731,80084881,80101479,80165377,80285581,80602957,80722966,80894278,80993197,81147277,81262081,81376237,81481127,81527437,81685904,81853722,81900397,81919126,82020279,82146166,82193581,82303144,82446337,82482157,82624236,82660177,82936413,82976077,83210727,83251981,83331530,83372016,83921581,83986957,84290278,84329180,84341377,84361655,84458566,84624877,84695288,84746730,84815052,85141872,85162154,85174381,85204962,85519012,85614481,85635528,85700557,86248106,86257837,86268156,86281851,86587815,86637387,86786317,87501457,87522772,87618637,87628678,87763400,87847597,88179478,88241581,88251915,88344406,88511617,88552081,88618966,89124481,89179266,89283530,89360715,89420077,89470081,89551981,89756497,89861581,89950503,90005581,90094678,90102097,90168877,90182017,90291292,90297037,90328675,90396512,90475366,90531757,90617581,90668881,90737677,90746806,90992557,91069777,91111396,91114381,91171981,91208017,91236097,91288486,91325197,91330381,91348237,91355437,91360081,91540055,91577336,91896642,92193650,92360336,92528278,92591037,92923656,93049125,93068635,93094996,93136675,93292088,93388002,93706246,93793518,93803799,93997947,94135376,94703511,94770406,94897515,95282199,95318096,95470555,95700264,95784606,95898047,96339969,97040596,97193686,97248410,97483967,97568888,97976566,98164407,98733825,98859478,99252400,99275576,99284727,99318315,99531526,99897644,99997836,...,32935561307998366123762683970758263963464917381669545080388658530384487063744871218675802917813534805039471831259350207400352516411733049388419592962191347031776669495335094951365464956628171531967709253508929975436154694649059148514436668021365923355757911905878475304267471323049398120523789642438348358816455014792378345998976576670510720737623022563886521156899103217066183345116322796648798959763028992100883682252937009712692464047497821794153573716197195932670130982652861200149310919637365206387067978534841322679821548751615987831774188494298049478248162076681729754389436529822766350272331085658627607870650018147205094150411379028332264155589404597869395471006331771778946194396190248805925856558804797227708320901586572031808074781198886440294968451325704052594327504960609240539810006819766106410258492449770705458546608827657516653793525554115393167112589032010356402903840098368459676785761481016536616978614290675943037437630898722286534379890634247304366563155568404684621420648970524742879074386460064695389298995225825541637463434982941594457344741341297566160905671178135315502280543516730616194118464465848634820857307788953127046972113851997776028957475260733629428793902515912059999087717983400120696965495692684209357637364199238470403888530617460969174023825820606036559026841738273154737199547541175535369836744387204832935837887389091840918235778226982814118229820268976056736861631313020058364549914351825933772168921339038126405061092860538252812866530882505454087078473709003728555005851920870385220568873333211755606272830158717104029739014992518553728513487217613414179820737904094652676696851414475953553624719817872490008672991094941042474223520852326472293225209615198073946516848193509262407776752570021987273706978846708495253062440221139036424896258815784346637680524578814563767590083815462661541255618301585613910102453533715442476671882705820068827426723568952911318874492909826392492541313383304420497747100922753733483781170410972921235683760087294402553492475152736406219543411409929168520280475762299628096110624871416197732594823612178427054178970606621301882785373469522762699926491440177747972653488902443611829867584459764407372787899600761427869167416494915140961906523553456111935349532381709305492868376668604920036146682745886330772520841533413783012116352472690023085746178375859463338669400237709385442031474225049693275029452294658814471879974122396034115863112919813773682165318365013262119789384252000998705469382853928391071719478997828849829857264474636236713986357513465929892476632225315856690255703182804726242184018964429621410459001391932553791589627555632881442316665656520871387391258032331108915674860304952471911609618309195593866013537141117447239092459432493025736731087861619294352656838835810645005610708693084044915197480537027387765100616152271214267677253563450830434009758884058977690020810472813763077507743854699602037342732286391227268536821050081430905810842837076211205889586920611110549874536898988131615786738245702001819938604359028091522262063596919397282}
19119   9457161669237620208525912999788991085157499863823619691997230720006578: {1660569,2117769,2460417,2688729,3909965,4140577,4511769,4691958,4714489,5739769,5875017,5915110,6086201,6101889,6146014,6888241,7098132,7459889,7746886,7800369,7897865,7978366,8134777,8199670,8280286,8436454,8780020,8929689,9172189,9402989,9477438,9601565,9839604,9879814,10089617,10536024,10735565,10945606,11066980,11181129,11231641,11293449,11410438,11521878,11621110,11828980,11853027,12326326,12882678,13280376,13705489,13775038,13945332,14114020,14194776,14277076,14540289,14867897,14940423,15372838,15492148,15522166,15636580,15655209,15736126,15820745,15969123,16936824,17656017,18460729,18633245,18763896,18984894,19053927,19309972,19455814,19579270,20098726,20201289,20308568,20642649,20973417,21014038,21048286,21109383,21851497,22057636,22131640,22294329,22359894,22364177,22480180,22818484,22847139,22970417,23495124,23970349,24650068,24898095,25559569,25805624,25819654,25833209,26015572,26252278,26345809,26372470,26557968,26781369,26878726,26976216,27198975,27794020,27869649,28762084,28766669,28995526,29012240,29031327,29172417,29238665,29259869,29793245,29877714,30068980,30348243,31073801,31334329,31336017,31646964,32001197,32091009,32562041,32624717,32638770,32952417,33162454,33275049,33339604,33352824,34025086,34027017,34070295,34807486,34814688,35086398,35751894,35869865,36082776,36120838,36295817,36341648,36390214,36489489,36513670,36672737,36885220,37236417,37449609,37519565,37521927,37604068,37636870,37682878,37704056,37769217,37845556,38398180,38615896,39166524,39510968,39682329,39744617,40079326,40350004,40559875,40565206,40593123,40883446,40884354,40941615,40980137,41356265,41422180,42417063,43043838,43237054,43274769,43442883,43671056,43816404,44110648,44127766,44262264,44426932,44431089,44449839,45023478,45164244,45375009,45479769,45781849,46077816,46080615,46553041,47048289,47257017,47452717,48299217,48434765,48452926,48500067,48507369,48671850,48674296,49041581,49129938,49152656,49606601,49624479,49627518,49706616,49724980,49795047,50589406,50884678,51113734,51343309,51618129,51837543,51916640,51986020,52162054,52650249,52686046,52723049,52916475,53027326,53407517,53474217,54065080,54193929,54758583,54764929,54857875,54914765,55082377,55296738,55322529,55744601,55827646,55919943,56121076,56346009,56444240,56616049,56926996,57256180,57738175,57876729,58121718,58406220,59605017,59660344,59669976,59739809,59818935,60275165,60575734,60792095,60823215,60886996,60921969,61127572,61404017,61478456,61767220,62082615,62299968,62383224,63253515,63406337,63499770,63664006,63806864,63845169,64130041,64146417,64288438,64304537,64506099,64537565,64622038,64878096,64931369,65062441,65149017,65829450,65897718,66142481,66221456,66270526,67117887,67128723,67470416,67733088,68248265,68341209,68440569,68707416,68937009,69163263,69285810,69833165,70037686,70087464,70181127,70218080,70262452,70376638,70687695,70818009,70887965,71475166,71782722,71860372,72015251,72025241,72270580,72328969,72330198,72788649,72950514,72987858,73019620,73904864,73907875,74039801,74108377,74120664,74499138,74517220,74740109,74847489,74931087,75265780,75400208,75616745,75904218,76019217,76199724,76468717,76518109,76701129,76792975,77284689,77295843,77341654,77445078,77881289,78231245,78689110,78739809,78753065,78848397,78933417,78965476,78995340,79096948,79161409,79753780,80098601,80130169,80304598,80316365,80815294,80880070,81308199,81324280,81345417,81630577,81897918,81925414,82368454,83142972,83385747,83403334,83737731,83799798,83933529,84031417,84229169,84261696,84410889,84825234,84982929,85065558,85100509,85361908,85363809,85372777,85631369,86052838,86112532,86355361,86705236,86724696,86845850,86866129,87099238,87262449,87623544,87992164,88084265,88545639,88571014,88680129,88689450,88774449,88822055,89113865,89203675,89420664,89904417,90043239,90318936,90374217,90740094,90948580,91459801,91489815,92151570,92697094,92714217,92826289,92994009,93877494,93921958,94266454,94302649,94426932,94503678,94575417,94602080,94672180,94794408,94895398,94906589,95704536,96301534,96379638,96795475,97056084,97072809,97537935,97565283,97589136,98167001,98295008,98452689,98515049,98576487,98728017,99386686,99644217,99687775,99742198,99793252,99873286,...,49403341961997549185644025956137395945197376072504317620582987795576730595617306828013704376720302207559207746889025311100528774617599574082629389443287020547665004243002642427048197434942257297951563880263394963154232041973588722771655002032048885033636867858817712956401206984574097180785684463657522538224682522188567518998464865005766081106434533845829781735348654825599275017674484194973198439644543488151325523379405514569038696071246732691230360574295793899005196473979291800223966379456047809580601967802261984019732323127423981747661282741447074217372243115022594631584154794734149525408496628487941411805975027220807641225617068542498396233384106896804093206509497657668419291594285373208888784838207195841562481352379858047712112171798329660442452676988556078891491257440913860809715010229649159615387738674656058187819913241486274980690288331173089750668883548015534604355760147552689515178642221524804925467921436013914556156446348083429801569835951370956549844733352607026932130973455787114318611579690097043083948492838738312456195152474412391686017112011946349241358506767202973253420815275095924291177696698772952231285961683429690570458170777996664043436212891100444143190853773868089998631576975100181045448243539026314036456046298857705605832795926191453761035738730909054838540262607409732105799321311763303054755116580807249403756831083637761377353667340474221177344730403464085105292446969530087546824871527738900658253382008557189607591639290807379219299796323758181130617710563505592832508777881305577830853309999817633409409245238075656044608522488777830592770230826420121269731106856141979015045277121713930330437079726808735013009486642411563711335281278489708439837814422797110919775272290263893611665128855032980910560468270062742879593660331708554637344388223676519956520786868221845651385125723193992311883427452378420865153680300573163715007824058730103241140085353429366978311739364739588738811970074956630746620651384130600225671755616459381853525640130941603830238712729104609329315117114893752780420713643449442144165937307124296598892235418267640581268455909931952824178060204284144049889737160266621958980233353665417744801376689646611059181849401142141803751124742372711442859785330184167903024298572563958239302565002907380054220024118829496158781262300120674518174528709035034628619267563789195008004100356564078163047211337574539912544178441988221707819961183594051173794669379720660523247977547519893179684076378001498058204074280892586607579218496743274744785896711954355070979536270198894838714948337973785035383554774207089363276028446644432115688502087898830687384441333449322163474998484781307081086887048496663373512290457428707867414427463793390799020305711676170858638689148739538605096631792428941528985258253715967508416063039626067372796220805541081647650924228406821401515880345176245651014638326088466535031215709220644616261615782049403056014098429586840902805231575122146358716264255614316808834380380916665824811805348482197423680107368553002729907906538542137283393095395379095923}
19120   9494712596459475456610801113966210625446459826042249220099433641448930: {782239,896431,1183394,1411994,1580071,1693759,2034391,2214092,2552834,2823692,3277831,3280556,3584972,4143962,4736119,5276162,5293759,5960551,6015692,6255944,6514231,7037937,7286359,7506319,7529762,7833356,7835719,8135852,8383279,8872665,9219021,9364351,9464176,10400492,10647198,10975025,11094079,11416351,11620329,11906252,11967549,12165799,12299505,12420429,12436994,12485911,12636584,12654681,13119472,13170030,13230319,13833725,14048032,14216157,14759406,14786225,14813599,14819721,14908172,15057932,15362504,15755791,15804036,16172671,16400162,16418409,16600470,16899439,17056154,17115657,17176904,17282817,17431665,17622679,17642525,17707168,17725711,17743470,17769997,17846345,18489489,18593776,18649759,18926368,19160599,19324017,19365185,19387052,19545725,19920564,20662557,20873612,20883991,20917998,21171030,21185959,21292164,21396314,21415614,21787951,21988039,22257434,22579921,22582432,22884871,23059257,23238222,23283249,23454870,23541356,23604189,24137465,24366631,24400154,25018528,25313192,25385710,25404797,25405236,25442959,25466114,25637719,26317111,26607199,26800231,26935052,27164162,27523532,27572045,27587234,27664550,27964556,28047919,28100225,28145844,28477341,28523105,28619671,28964958,29183721,29368905,29693954,29725772,29813192,30131671,30148089,30323162,30462852,30812585,30974071,31326832,31521057,31572429,31798942,32257030,32519465,32549359,32916991,32991049,33034754,33086454,33191959,33197460,33449762,33539841,33720270,33788909,34071194,34194631,34227726,34285351,34572097,34647511,34742525,35242686,35410624,35547871,35708492,35727079,35927714,35952605,35968288,36133274,36265300,36352039,36954074,36975102,37159532,37586225,37767271,38212174,38588762,38596817,38642431,38708436,38729481,38816599,38896556,39023358,39164071,39249617,39378417,39510391,39558705,39836952,40318089,40371151,40464324,40619162,40798831,40969399,41674505,41691030,41781356,41920957,42195952,42590009,42788012,42826639,43008574,43143126,43410271,43493289,43518360,43862621,43936556,44155471,44237594,44237911,44320279,44366732,44470432,44816571,45103470,45369356,45427060,45632162,45709519,45952519,46029314,46106525,46381049,46419584,46781864,46998031,47005085,47077951,47130070,47217314,47306945,47396911,47470446,47669192,47997725,48110368,48269870,48652652,48661231,48958155,48989594,49388710,49648556,49743681,49907119,49932812,50009406,50029236,50358956,50437505,51037629,51528962,51777725,52202801,52211229,52222032,52493431,52568239,52629597,52792231,52909772,52941199,53089879,53312359,53627841,53793649,54049279,54124164,54181257,54428762,54512472,54560839,54585321,54588820,54770505,55004834,55138310,55141159,55327830,55388162,55533665,55788511,55831006,56145631,56343962,56406102,56455305,56524317,56556084,56571799,56725274,56768334,56783911,56915714,57276319,57391784,57597270,57699692,57765199,57923844,57943774,58244762,58421872,58457479,58595071,58749786,58800919,59016352,59036614,59189762,59241452,59266452,59887831,60031304,60118989,60218992,60357559,60500012,60506714,60525006,60624391,60639692,60690919,60842870,60847809,61068962,61325169,61326531,61437088,61440820,61629914,62133270,62156225,62375834,62731052,62731097,62974039,63009356,63101839,63229351,63610159,64113871,64230554,64239079,64398956,64488631,64565757,64666756,64676492,64737031,64784162,64855581,64895800,64982525,64984279,65291719,65414191,65506584,65597359,65719111,65724606,65975182,66165972,66170024,66191649,66275488,66393396,66623071,66640398,66913121,66985634,67510831,67535217,67581350,67746366,67766369,68093671,68267119,68669311,68726479,68804354,68824172,68897551,69116724,69406879,69463111,70076911,70151345,70200332,70297951,70555300,70943158,70954159,71147162,71158745,71298956,71385871,71570225,71657261,71971951,72258572,72287959,72398594,72576794,72679389,72705271,72912199,73007775,73011444,73066639,73694907,73728984,73763372,74079679,74427439,74441277,74559924,74575430,74587470,74673679,74918119,74966791,75128012,75584162,75884109,76108745,76113319,76160191,76253719,76327017,76409465,76670601,76848070,76984994,77127871,77168972,77209025,77308591,77495624,77710999,77843839,77874960,77979030,78019951,78243081,78491006,78798199,79029069,79414274,79473356,79511791,79540989,79559968,79586714,79758580,79931162,80083831,80124151,80244679,80759479,80837599,80954239,81097620,81229292,81715279,81864031,82015769,82156034,82339519,82519159,82776820,82945107,83066624,83177632,83322319,83726239,83741469,83833126,84087391,84152119,84181614,84338020,84408151,84524834,84628399,84666360,84690679,84692954,84721711,84845119,84906391,84936919,85126892,85238239,85386199,85390494,85528556,85590319,85762471,85790911,85875799,85884270,86008132,86071351,86317591,86425159,86504128,86865356,87096271,87145879,87182577,87244231,87317239,87609330,87741679,87772600,87828065,87832831,87859874,87863624,88033711,88438639,88561111,88661191,88798279,88849154,89241511,89311351,89397031,89464279,89490516,89490817,89504964,89627359,89643271,89737231,89825465,89996762,90017671,90114439,90297391,90310784,90338225,90349777,90588991,90641911,90789871,90826591,90844519,90862159,90863601,90888079,90904999,90913351,91022719,91035406,91044319,91111639,91121612,91124239,91142599,91254092,91274525,91315759,91330494,91357879,91360111,91376959,91388839,91389631,91392871,91609888,91691358,91916012,92217684,92381080,92650830,92754434,93146525,93449952,93574836,93685997,93717794,94082225,94250260,94424012,95249655,95496009,95710296,96394942,96432657,96440264,96933057,97051532,97267352,97317144,97988762,98300954,98706845,98744175,98827552,98846577,98871185,98950894,99332184,99405789,99692225,99796652,99908116,...,65871122615996732247525367941516527926929834763339090160777317060768974127489742437351605835627069610078943662518700414800705032823466098776839185924382694063553338990670189902730929913256343063935418507017859950872309389298118297028873336042731846711515823811756950608534942646098796241047579284876696717632910029584756691997953153341021441475246045127773042313798206434132366690232645593297597919526057984201767364505874019425384928094995643588307147432394391865340261965305722400298621839274730412774135957069682645359643097503231975663548376988596098956496324153363459508778873059645532700544662171317255215741300036294410188300822758056664528311178809195738790942012663543557892388792380497611851713117609594455416641803173144063616149562397772880589936902651408105188655009921218481079620013639532212820516984899541410917093217655315033307587051108230786334225178064020712805807680196736919353571522962033073233957228581351886074875261797444573068759781268494608733126311136809369242841297941049485758148772920129390778597990451651083274926869965883188914689482682595132321811342356270631004561087033461232388236928931697269641714615577906254093944227703995552057914950521467258857587805031824119998175435966800241393930991385368418715274728398476940807777061234921938348047651641212073118053683476546309474399095082351070739673488774409665871675774778183681836471556453965628236459640537952113473723262626040116729099828703651867544337842678076252810122185721076505625733061765010908174156947418007457110011703841740770441137746666423511212545660317434208059478029985037107457026974435226828359641475808189305353393702828951907107249439635744980017345982189882084948447041704652944586450419230396147893033696387018524815553505140043974547413957693416990506124880442278072849792517631568693275361049157629127535180167630925323082511236603171227820204907067430884953343765411640137654853447137905822637748985819652784985082626766608840995494201845507466967562340821945842471367520174588805106984950305472812439086822819858337040560951524599256192221249742832395465189647224356854108357941213242603765570746939045525399852982880355495945306977804887223659735168919528814745575799201522855738334832989830281923813047106912223870699064763418610985736753337209840072293365491772661545041683066827566024232704945380046171492356751718926677338800475418770884062948450099386550058904589317628943759948244792068231726225839627547364330636730026524239578768504001997410938765707856782143438957995657699659714528949272473427972715026931859784953264450631713380511406365609452484368037928859242820918002783865107583179255111265762884633331313041742774782516064662217831349720609904943823219236618391187732027074282234894478184918864986051473462175723238588705313677671621290011221417386168089830394961074054775530201232304542428535354507126901660868019517768117955380041620945627526155015487709399204074685464572782454537073642100162861811621685674152422411779173841222221099749073797976263231573476491404003639877208718056183044524127193838794564}
19121   9532411554146474634225175589647860841834616424557009687789577938611087: {19121,1775091,2117991,2767615,3321138,3529615,3829251,4100695,4235538,4481215,4829011,4920834,5377458,5473951,5516143,6086839,6215943,6505939,7192783,7460671,7519615,7762711,7819930,7914243,8281154,8337523,8600119,9023538,9383916,9428978,9791695,10051471,10169815,10509223,11057011,11294643,11479538,11750034,11830220,12172402,12203778,12292028,12364099,12719023,13000615,13442191,13776482,14196264,14882815,14919778,15029791,15286711,15493772,15600738,15795730,15956732,15970797,16269554,16399340,16537939,16560572,16872908,17164951,17560040,17571151,17859378,18344378,18635215,18655491,18805978,18822415,18954876,19203130,19679208,19755045,19759628,20179234,20286871,20594131,21072048,21118999,21471130,21683143,21891212,22133960,22139109,22149043,22362258,22463282,22586898,22651639,22782199,22820876,23043756,23242220,23617471,23657960,23706054,24233815,24600243,24652652,24900705,25584231,25672819,25765356,26086543,26092015,26430391,26560752,26615205,26708911,27348739,27410978,27550076,27890664,28228040,28389552,28554152,28592311,29080578,29326771,29426695,29735794,29880846,30745676,30984296,31044332,31273160,31277791,31310418,31376997,31472252,31490899,31641490,31756545,31938246,32094471,32123421,32150983,33105343,33270751,33386151,33562231,33665839,33668815,33873648,33971971,34404415,34807699,34857333,34955695,35182305,35312034,36462919,36600231,36723583,36921458,37157215,37266490,37319791,37527792,37969788,38078565,38107854,38199171,38461651,38619944,38911423,38911628,39158540,39748819,40160791,40197452,40402578,40617136,40746243,40934131,40984471,41285298,41380851,41396179,41496825,41710543,41946834,42028076,42096572,42218766,42252871,42391231,43447437,43558783,43702994,43864579,44115272,44263280,44540931,44588658,44635615,44719788,44728354,44960360,45331625,45484743,45636968,45694278,45754663,45940834,46449415,46970911,46990248,47698413,47940698,48385545,48431071,48620695,49300136,49552131,49629681,49796190,49947151,50021719,50174643,50217811,50569543,50580405,51106791,51119138,51341589,51611248,51639308,51666418,52031144,52069699,52226695,52228711,52423759,52504556,52527391,52691618,52744940,52864029,53115936,53485015,53562738,53757452,53891571,53952432,54199911,54397950,54510271,54920695,55335199,55431111,55458415,55462653,55588040,55739298,56159059,56711695,56783825,57318261,57524168,57533338,57883143,57898771,57991052,58024480,58062654,58344834,58352071,58477330,58519738,58535037,58625983,59441143,59586490,59755428,60137960,60611923,60696486,60815815,60928743,61410511,61544239,62046991,62060695,62147602,62194183,62416015,62536545,62668658,62672034,62948695,63293928,63497731,64002394,64182018,64512861,64714689,64718071,65124082,65192431,65249434,65277540,65531191,65802931,65879983,65904834,66137215,66324908,66356391,66550098,66679208,66705648,67472551,67655205,67808671,68050172,68054034,68140590,68236025,68384599,68448243,68628019,69043971,69591511,69614972,69629376,70172796,70695105,70825971,71205669,71503788,71739730,72124615,72165552,72241676,72404805,72591634,72683296,72780428,72833431,72978978,73027340,73345474,73484391,73770440,74051815,74083065,74472834,74899218,75014109,75039130,75043854,75208136,75273740,75365756,75408112,75538434,75625015,75665491,75691112,75799615,75996271,76796360,76801025,76880671,76992499,77231792,77293443,77889523,78089539,78333048,78413815,78592039,78751471,78761695,79021936,79364658,79489234,80158652,80498695,80700008,80833445,80845615,81119750,81130412,81186246,81643143,81719671,81766892,81768708,81883230,81960274,82507251,82707465,82712530,82844360,82991745,83082243,83234551,83533063,83746509,84135799,84385231,84515943,84609153,84834126,85087911,85108933,85152501,85373571,86030215,86087676,86146819,86395905,86474108,86500723,86549538,86885766,86915661,87342112,87367143,87501583,87632808,87750415,88124679,88194125,88221296,88255532,88524528,88554921,88557139,88784643,88853864,88862178,88899678,89123695,89523943,90046956,90064831,90162259,90323215,90328488,90352591,90750018,90760071,90787509,90959538,91264305,91563698,91603443,92155632,92161230,92166679,92204215,92444871,92940163,93106082,93199905,93563751,93910015,94096578,94138483,94514034,94661983,94905434,94916623,95547571,95673139,96042343,96345831,96461215,96598434,96869530,96905852,97000134,97014738,97176243,97343700,97348592,97766431,98083162,98101543,98177383,98259876,98305312,98586909,98962773,99213202,99243151,99248958,99255036,99263839,99341695,99358591,99383023,99413232,99449960,99590094,99627223,99698225,99960597,...,98806683923995098371288051912274791890394752145008635241165975591153461191234613656027408753440604415118415493778050622201057549235199148165258778886574041095330008486005284854096394869884514595903127760526789926308464083947177445543310004064097770067273735717635425912802413969148194361571368927315045076449365044377135037996929730011532162212869067691659563470697309651198550035348968389946396879289086976302651046758811029138077392142493465382460721148591587798010392947958583600447932758912095619161203935604523968039464646254847963495322565482894148434744486230045189263168309589468299050816993256975882823611950054441615282451234137084996792466768213793608186413018995315336838583188570746417777569676414391683124962704759716095424224343596659320884905353977112157782982514881827721619430020459298319230775477349312116375639826482972549961380576662346179501337767096031069208711520295105379030357284443049609850935842872027829112312892696166859603139671902741913099689466705214053864261946911574228637223159380194086167896985677476624912390304948824783372034224023892698482717013534405946506841630550191848582355393397545904462571923366859381140916341555993328086872425782200888286381707547736179997263153950200362090896487078052628072912092597715411211665591852382907522071477461818109677080525214819464211598642623526606109510233161614498807513662167275522754707334680948442354689460806928170210584893939060175093649743055477801316506764017114379215183278581614758438599592647516362261235421127011185665017555762611155661706619999635266818818490476151312089217044977555661185540461652840242539462213712283958030090554243427860660874159453617470026018973284823127422670562556979416879675628845594221839550544580527787223330257710065961821120936540125485759187320663417109274688776447353039913041573736443691302770251446387984623766854904756841730307360601146327430015648117460206482280170706858733956623478729479177477623940149913261493241302768261200451343511232918763707051280261883207660477425458209218658630234229787505560841427286898884288331874614248593197784470836535281162536911819863905648356120408568288099779474320533243917960466707330835489602753379293222118363698802284283607502249484745422885719570660368335806048597145127916478605130005814760108440048237658992317562524600241349036349057418070069257238535127578390016008200713128156326094422675149079825088356883976443415639922367188102347589338759441321046495955095039786359368152756002996116408148561785173215158436993486549489571793423908710141959072540397789677429896675947570070767109548414178726552056893288864231377004175797661374768882666898644326949996969562614162173774096993326747024580914857415734828854927586781598040611423352341717277378297479077210193263584857883057970516507431935016832126079252134745592441611082163295301848456813642803031760690352491302029276652176933070062431418441289232523231564098806112028196859173681805610463150244292717432528511228633617668760761833331649623610696964394847360214737106005459815813077084274566786190790758191846}
19122   9570259121659288530941979597164448389346464088247767278099756577617266: {782321,820397,1010657,1352621,1564478,1792862,2072417,2148017,2366788,2823988,2826977,3090317,3160142,3387518,3990221,4068782,4214477,4428184,4959917,4981707,5105668,5331437,5647384,6353307,6551777,6555662,6561112,6993377,7103597,7169944,7381251,7653617,7873121,8055821,8066187,8274797,8287924,8602721,9472238,10552324,10556657,10587518,11095277,11131121,11453357,11729895,11846321,11921102,12031384,12202721,12421731,12511888,12593837,13028462,13054817,13535307,13655597,13796621,14075874,14113457,14143467,14572718,14787775,14815217,14850221,15012638,15025121,15059524,15365035,15583457,15666712,15671438,16271704,16590221,16766558,17108321,17219307,17315057,17625051,17745330,17967821,18258603,18305667,18438042,18685937,18728702,18928352,19162721,19196717,19367215,19945915,19976417,20499175,20664723,20684621,20700715,20800984,20886317,21091135,21294396,21389297,21523121,21723617,21950050,22023821,22188158,22379667,22489517,22832702,22887437,23240658,23401107,23693595,23812504,23935098,24172721,24331598,24369377,24404331,24599010,24699535,24840858,24873988,24957617,24971822,24984883,25273168,25309362,25445837,25673057,26238944,26340060,26416877,26460638,26789067,26803277,27111259,27124397,27220577,27284657,27364015,27516567,27572621,27667450,27764237,28096064,28208967,28242017,28432314,28526095,28804695,29052775,29518812,29572450,29627198,29639442,29816344,29947121,30023851,30115864,30135137,30268851,30725008,30815815,31008737,31195121,31511582,31536077,31608072,31659821,32206695,32345342,32800324,32836818,32920817,33195821,33200940,33226337,33543387,33694923,33792451,33798878,33880347,34112308,34228877,34231314,34353808,34437595,34565634,34681697,34863330,35245358,35282657,35285050,35414336,35451422,35462321,35486940,35539994,35559081,35581937,35692690,35910221,36178097,36356321,36385997,36918797,36978978,37187552,37299518,37537121,37801037,37852736,37859597,37976621,38321198,38432095,38588897,38600863,38648034,38730370,38774104,38805415,38850221,39091450,39340315,39841128,39860321,39932347,40032497,40461677,41116467,41172977,41325114,41597357,41747224,41767982,41835996,42244577,42342060,42371918,42584328,42792628,42831228,42859697,43137619,43575902,43620867,43867219,43940621,43976078,44188337,44490221,44514868,44603691,44821269,44900321,45063857,45159842,45164864,45527251,45552737,45742157,45769742,46118514,46385911,46476444,46566498,46909740,46965627,47082712,47208378,47462235,47561837,47907369,48274930,48510221,48614957,48639535,48733262,48800308,48948175,49006577,49162721,49525937,49939121,50037056,50246815,50333647,50478317,50626384,50771420,50809594,50810472,50885918,50932228,50988557,51064817,51217121,51275438,51837643,52200077,52375217,52450157,52535095,52599821,52620715,52634222,52968051,52972721,53121377,53214398,53319137,53343821,53600462,53870104,54202721,54328324,54813967,55047064,55144090,55148237,55172321,55174468,55329100,55382187,55532621,55652321,55899735,55929112,56095838,56200450,56291688,56720621,56954682,57046210,57161781,57166817,57239342,57517037,57772721,57929916,58142897,58258157,58344307,58367442,58488077,58602737,58737810,58808621,58831457,58945517,59150321,59241137,59387908,59451544,59625677,59626384,59693297,60263342,60296178,60499121,60603867,60646324,60721121,60925704,61030577,61491821,61625170,61927947,61948142,62014637,62166257,62653664,62920251,63003821,63042114,63131597,63144858,63237857,63328149,63428621,63597884,64143437,64393517,64514060,64549135,64683821,64869617,65013677,65038930,65098718,65554491,65626637,65630695,65728097,65807119,65833982,65931175,65982098,66069508,66172908,66229723,66383918,66394920,66412721,66830957,66882987,66899524,67079682,67092531,67196815,67225997,67440540,67520177,67577818,67695821,67812557,67987121,68103137,68142388,68389262,68455452,68541417,68570702,68736077,68755121,68911251,69144194,69295022,69416621,69485050,70326257,70362977,70485372,70612507,70821248,70964237,71072621,71095742,71416984,71454158,71527819,71628017,71855428,71905210,71911047,71936576,72266548,72298337,72472817,72488815,72530600,72704078,73094321,73452077,73536737,73908148,73950204,74040497,74090477,74136751,74206817,74319064,74355821,74438321,74454797,74694285,74945357,75171821,75172450,75476657,75534542,75738883,75904877,76140257,76187117,76424348,76513121,76590221,76678707,76820321,77139437,77177524,77193634,77199821,77284862,77365217,77416872,77458962,77499627,77633198,77747131,77793112,77870321,78031757,78046716,78293837,78328142,78499234,78756834,78937697,79020782,79037427,79079143,79117410,79246577,79288397,79357937,79524017,79579121,79673904,79729997,79866317,80087527,80109677,80136557,80190221,80310497,80344107,80575457,80636178,80742302,80772077,80785121,80928077,80928648,81159917,81238324,81287597,81596925,81597662,81740621,81852257,81926321,81938798,82171121,82364657,82460657,82532321,82757357,82906135,83164337,83233121,83278817,83349010,83382060,83562712,83608947,83673197,83750897,83841914,83970737,84014321,84165857,84176621,84241037,84390221,84391904,84642317,84652721,84920417,85062715,85180018,85252397,85576024,85604621,85653278,85899617,85927757,86017148,86223437,86286252,86300007,86341217,86395121,86448737,86820542,86884337,86986578,87018715,87036720,87093981,87119537,87283697,87460577,87517251,87578957,87715995,87718637,87725242,87779607,87873112,87945677,88034477,88143857,88286897,88310942,88392077,88475188,88475822,88583597,88597037,88640558,88733464,88814177,88820621,88859117,88940864,89004017,89096237,89138657,89379735,89611757,89633142,89643821,89649137,89727917,89743457,89799821,89991857,90039137,90135821,90206940,90302095,90331121,90416717,90506417,90532877,90606317,90617057,90652337,90659297,90723821,90738712,90759857,90801197,90854120,90862157,90865121,90905777,90925517,90975535,91013297,91028321,91044729,91055117,91064621,91110221,91129697,91144397,91262177,91264324,91268321,91281677,91284175,91297121,91309037,91335437,91340897,91350221,91354157,91364321,91387757,91396337,91402721,91404977,91405997,91407821,91411121,91419038,91664683,91905038,92058628,92213050,92762098,92839168,93221403,93563728,93996062,94002987,94008051,94010170,94092175,94155902,94207195,94260140,94434628,94613890,94793822,94940892,95338384,95995450,96003591,96220736,96273027,96539740,96927727,97305304,97322462,97686123,97874151,97916310,97979188,98211883,98777420,98857251,99297112,99487362,99622243,99814238,99825147,99865624,...,148210025885992647556932077868412187835592128217512952861748963386730191786851920484041113130160906622677623240667075933301586323852798722247888168329861061642995012729007927281144592304826771893854691640790184889462696125920766168314965006096146655100910603576453138869203620953722291542357053390972567614674047566565702556995394595017298243319303601537489345206045964476797825053023452584919595318933630464453976570138216543707116088213740198073691081722887381697015589421937875400671899138368143428741805903406785952059196969382271945242983848224341222652116729345067783894752464384202448576225489885463824235417925081662422923676851205627495188700152320690412279619528492973005257874782856119626666354514621587524687444057139574143136336515394988981327358030965668236674473772322741582429145030688947478846163216023968174563459739724458824942070864993519269252006650644046603813067280442658068545535926664574414776403764308041743668469339044250289404709507854112869649534200057821080796392920367361342955834739070291129251845478516214937368585457423237175058051336035839047724075520301608919760262445825287772873533090096318856693857885050289071711374512333989992130308638673301332429572561321604269995894730925300543136344730617078942109368138896573116817498387778574361283107216192727164515620787822229196317397963935289909164265349742421748211270493250913284132061002021422663532034191210392255315877340908590262640474614583216701974760146025671568822774917872422137657899388971274543391853131690516778497526333643916733492559929999452900228227735714226968133825567466333491778310692479260363809193320568425937045135831365141790991311239180426205039028459927234691134005843835469125319513443268391332759325816870791680834995386565098942731681404810188228638780980995125663912033164671029559869562360604665536954155377169581976935650282357135262595461040901719491145023472176190309723420256060288100934935218094218766216435910224869892239861954152391800677015266849378145560576920392824811490716138187313827987945351344681258341262140930348326432497811921372889796676706254802921743805367729795858472534180612852432149669211480799865876940700060996253234404130068939833177545548203426425411253374227118134328579355990552503709072895717691874717907695008722140162660072356488488476343786900362023554523586127105103885857802691367585024012301069692234489141634012723619737632535325964665123459883550782153521384008139161981569743932642559679539052229134004494174612222842677759822737655490229824234357690135863065212938608810596684516144845013921355106150664322621268089828085339933296347065506263696492062153324000347966490424995454343921243260661145489990120536871372286123602243282391380172397060917135028512575916067446218615815289895377286824586955774761147902525248189118878202118388662416623244942952772685220464204547641035528736953043914978265399605093647127661933848784847346148209168042295288760522708415694725366439076148792766842950426503141142749997474435416045446592271040322105659008189723719615626411850179286186137287769}
19123   9608255880609774044113105637271832707522056125769548822151085934830664: {38242,2346717,2689293,2958485,3529985,3550182,3874661,4235982,4740213,4941461,5081277,5535230,5707013,5740973,6103173,6165101,6273701,6382085,6506621,6642276,7059230,7193537,7658502,7688837,8201390,8338397,8471076,8962430,9019637,9174113,9658022,9833493,9841668,10163777,10359905,10527461,10754916,10947902,11032286,11233997,11994401,12173678,12431886,12783221,13011878,13190405,13596197,13708373,14208357,14237741,14385566,14612117,14921342,15039230,15525422,15639860,15828486,15881277,16562308,16675046,17200238,17881653,18047076,18066113,18200861,18767832,18824405,18857956,19184357,19542693,19544837,19583390,20102942,20339630,20835941,21018446,21113811,21537197,21859077,22114022,22518957,22589286,22959076,23500068,23507157,23660440,23756597,23975393,24213821,24234101,24344804,24407556,24584056,24728198,24958817,25149837,25438046,26001230,26089301,26351381,26395997,26617995,26884382,26924417,27552964,27657063,28093053,28392528,29009717,29765630,29839556,30059582,30573422,30987544,31092485,31201476,31345841,31591460,31913464,31941594,32321237,32539108,32798680,32925075,33075878,33121144,33282237,33745816,33790913,33927341,34249053,34329902,34860987,35120080,35142302,35199413,35718756,35902647,35987621,36497397,36528821,36688756,36898515,37184957,37216517,37261287,37270430,37310982,37457733,37611956,37644830,37909752,37964043,38406260,39358416,39510090,39519256,39690957,40148693,40165037,40358468,40573742,40975661,41000405,41188262,41197373,41400557,41501175,42144096,42237998,42640385,42648471,42942260,43366286,43782424,44267920,44278218,44298086,44358675,44440797,44459163,44724516,44926564,45173796,45303278,45564398,45641752,46087512,46484440,46562837,46975877,47136341,47223797,47234942,47267373,47315920,47412108,47462753,48166181,48436193,48467630,48518013,48910157,48922757,48937973,49200486,49255227,49305304,49801410,50698317,51168462,51345638,51346971,51354113,51530712,51839957,51848451,52020101,52173086,52184030,52294995,52860782,52868037,52927575,53121504,53177133,53230410,53309991,53417822,53490785,53539035,54697478,54776453,54821956,55100152,55420133,55468467,55643585,55781328,55949277,56456080,56518901,56779104,56893937,57108304,57184622,57481797,57972051,58034477,58095555,58161156,58637175,58653542,58853390,59116577,59471588,59761692,59859341,61000385,61456097,61491352,61536917,61968592,61987671,62053553,62088664,62489861,62546320,62555582,62620836,62651973,62753994,62944504,62981798,63282980,63464275,63513090,63557877,63665285,63876492,64188942,64246842,64301966,64546397,65029181,65363853,65964117,66210686,66369797,66483437,66541502,66772302,67124462,67331678,67337630,67739763,67747296,67910405,67943942,68068973,68635277,68654613,68808830,68968085,69161375,69177771,69346637,69615398,69714666,69849747,69911390,70364610,70624068,70702721,70812567,72412395,72925838,73099893,73117373,73200462,73447166,73842916,74234885,74314430,74532980,74639582,74879021,75042773,75055584,75137861,75807905,75939576,76157130,76214391,76215708,76328877,76398342,76484993,76888973,76913157,76923302,77239888,77445953,77641781,77822846,77823256,78317080,78759797,78951333,79326113,79396373,79497355,79497638,79821597,80148317,80321582,80394904,80400693,80642575,80805156,81234272,81492486,81868262,81968942,82244513,82425797,82570596,82586885,82716135,82761702,82792358,82993650,83421086,83624405,83893668,84056152,84143757,84193144,84300675,84437532,84505742,84782462,84790337,85142141,85177985,85432023,85569315,85859013,86075873,86525261,86558021,86884973,86894874,87117566,87294773,87382421,87405988,87551163,87729158,88106715,88128173,88230544,88526560,88968077,89081862,89088341,89177316,89271230,89422853,89439576,89456708,89819285,89920720,90333185,90395013,90444267,90663250,90969486,91273936,91388556,91509326,91848293,91881668,92287637,92385185,92437755,92592101,92898830,92922213,93941822,93980496,94563171,94717287,95396826,95530435,95881396,96090677,96471905,96577793,96771090,96862142,97241390,97444421,97540193,97558395,97648077,98368157,98600272,98750973,98973147,99104262,99259362,99274337,99433217,99575877,99592380,99894302,99997553,...,197613367847990196742576103824549583780789504290017270482331951182306922382469227312054817506881208830236830987556101244402115098470398296330517557773148082190660016972010569708192789739769029191806255521053579852616928167894354891086620008128195540134547471435270851825604827938296388723142737854630090152898730088754270075993859460023064324425738135383319126941394619302397100070697936779892793758578173952605302093517622058276154784284986930764921442297183175596020785895917167200895865517824191238322407871209047936078929292509695926990645130965788296869488972460090378526336619178936598101633986513951765647223900108883230564902468274169993584933536427587216372826037990630673677166377141492835555139352828783366249925409519432190848448687193318641769810707954224315565965029763655443238860040918596638461550954698624232751279652965945099922761153324692359002675534192062138417423040590210758060714568886099219701871685744055658224625785392333719206279343805483826199378933410428107728523893823148457274446318760388172335793971354953249824780609897649566744068448047785396965434027068811893013683261100383697164710786795091808925143846733718762281832683111986656173744851564401776572763415095472359994526307900400724181792974156105256145824185195430822423331183704765815044142954923636219354161050429638928423197285247053212219020466323228997615027324334551045509414669361896884709378921613856340421169787878120350187299486110955602633013528034228758430366557163229516877199185295032724522470842254022371330035111525222311323413239999270533637636980952302624178434089955111322371080923305680485078924427424567916060181108486855721321748318907234940052037946569646254845341125113958833759351257691188443679101089161055574446660515420131923642241873080250971518374641326834218549377552894706079826083147472887382605540502892775969247533709809513683460614721202292654860031296234920412964560341413717467913246957458958354955247880299826522986482605536522400902687022465837527414102560523766415320954850916418437317260468459575011121682854573797768576663749228497186395568941673070562325073823639727811296712240817136576199558948641066487835920933414661670979205506758586444236727397604568567215004498969490845771439141320736671612097194290255832957210260011629520216880096475317984635125049200482698072698114836140138514477070255156780032016401426256312652188845350298159650176713767952886831279844734376204695178677518882642092991910190079572718736305512005992232816297123570346430316873986973098979143586847817420283918145080795579354859793351895140141534219096828357453104113786577728462754008351595322749537765333797288653899993939125228324347548193986653494049161829714831469657709855173563196081222846704683434554756594958154420386527169715766115941033014863870033664252158504269491184883222164326590603696913627285606063521380704982604058553304353866140124862836882578465046463128197612224056393718347363611220926300488585434865057022457267235337521523666663299247221393928789694720429474212010919631626154168549133572381581516383692}
19124   9646402414869658490976693705438560290993051371592694279700536654341797: {57363,706219,820483,1390723,1564642,1640794,2021314,2705242,2864923,3128956,3585724,3990643,4144834,4296034,4733576,5325273,5647976,5653954,6180634,6220483,6320284,6331219,6353973,6775036,6883819,7980442,8093203,8137564,8302845,8428954,8640043,8856368,9076219,9919834,9963414,10053403,10211336,10588845,10593763,10662874,11132323,11239819,11294768,11487753,11669083,11883283,12302085,12417523,12706614,12737203,13103554,13111324,13122224,13374619,13443645,13903819,13986754,14207194,14339888,14487033,14762502,14851843,15061723,15307234,15746242,16111642,16132374,16421853,16522819,16548429,16549594,16575848,17205442,17969803,18072619,18260517,18647829,18944476,19198843,19517817,19549825,20702885,20720563,21104648,21113314,21175036,21511049,21525523,21578349,21726043,22190554,22262242,22382013,22558845,22906714,23121619,23288133,23459790,23572445,23692642,23742729,23842204,24062768,24405442,24843462,25012569,25023776,25187674,25800357,26056924,26109634,27070614,27114101,27127483,27311194,27593242,27924281,28151748,28226914,28286934,28467619,28698845,28942819,28981001,29145436,29375085,29510683,29527589,29575550,29630434,29700442,29981923,30025276,30050242,30119048,30154413,30263803,30357619,30431005,30509445,30730070,30919003,31166914,31333424,31342876,31527669,31663483,32218819,32543408,33171033,33180442,33230203,33533116,33883929,34051219,34216642,34438614,34441205,34504819,34579349,34630114,35250102,35482733,35490660,35496403,35935642,35944243,36212083,36301219,36390283,36517206,36611334,36657043,36876084,37092297,37276963,37299445,37371874,37457404,37541563,37856704,38157069,38309621,38325442,38393434,38418883,38593483,38734430,39001845,39489325,39807619,39891830,39893803,39936533,39952834,40326573,40673885,40998350,41092819,41177923,41329446,41369242,41401430,41601968,41772634,41856163,42182270,42277723,42361819,42588792,42778594,43046242,43142141,43447234,43614619,43900100,43945963,44028619,44047642,44376316,44440819,44523043,44648445,44759334,44979034,45089373,45585403,45665404,45774874,45860133,45860945,46394323,46474819,46481316,46802214,47014945,47387190,47625008,47870196,47912391,48007825,48212633,48345442,48663196,48738754,48808662,48856219,49168843,49198020,49246819,49399070,49613817,49681716,49747976,49915234,49943644,49969766,50448085,50546336,50618724,50791219,50891674,51172819,51346114,51494853,51843077,52231723,52306819,52477888,52680120,52713453,52833754,52921276,53096857,53350603,53578134,53606554,53677825,53804933,54160819,54222518,54234043,54248794,54327581,54441154,54569314,54728030,54819713,54889819,55033134,55076441,55145242,55179403,55334900,55528474,55683403,55905645,55966473,56041243,56158205,56192128,56255083,56417934,56467245,56484034,56751523,56864628,57033619,57052190,57454603,57609390,58105550,58150483,58770619,58839163,59037624,59144900,59254396,59265135,59278884,59452819,59632688,59723683,59894242,60047702,60231728,60270274,60529363,60537702,60652141,60860613,61060723,61262669,61450016,61521883,61631630,61718443,61782393,62017474,62390242,62433619,62691523,63023164,63072154,63216144,63319642,63356997,63458323,63711619,64026619,64339819,64413390,64690684,65049429,65207203,65600648,65673636,65841634,66391642,66401880,66417327,66421843,66447129,66452674,66481819,66721003,66927157,67018363,67086774,67389846,67431643,67584902,67597756,67760694,67954917,68015923,68095349,68224616,68346597,68457754,68462628,68527445,68593003,68707616,68764723,68875190,69049483,69131268,69363394,69725563,69726660,70170523,70345541,70490716,70565314,70570100,70828672,70852413,70902844,70924642,70973880,71079988,71118162,71163874,71385380,71638243,71820442,72356194,72701445,72712642,72771994,73549133,73669001,73800729,73837594,73957956,74217643,74339485,74366683,74375104,74416219,74465683,74599036,74702115,75074242,75150619,75391819,75602074,75705472,75719194,75953242,76104619,76385203,76642396,76752693,76847083,76864190,77018457,77177794,77201726,77296068,77460740,77481619,77548208,77610830,77700442,77704819,78182900,78259629,78276045,78406963,78680630,79103725,79291173,79384003,79591363,79682256,79720642,79796923,79845615,79864694,80064994,80126733,80242819,80601163,80797723,80923354,81069883,81185443,81223819,81565963,81603619,82032973,82046217,82232934,82341619,82345954,82485763,82521619,82650228,82699819,82876219,83085523,83189203,83194714,83257963,83428603,83494448,83535964,83671992,83697883,83929723,84190363,84254803,84489154,84532877,84666643,84684120,84697819,84743836,85005619,85168656,85585256,85662456,85719394,85776933,86026219,86275238,86301619,86727283,87151804,87208819,87241734,87331219,87475723,87664363,87734438,87881242,87893683,87916219,87952156,87980313,88115803,88280085,88376674,88558819,88579123,88758619,88836523,88875043,88970083,88980442,89026243,89029736,89154763,89207382,89485819,89509589,89633563,89642538,89665603,89744443,89800642,89806219,89821483,89970163,90127714,90219643,90232819,90319684,90329728,90360619,90368789,90550123,90594619,90855763,90882763,91054502,91105474,91130443,91262923,91267819,91328803,91381219,91383883,91402603,91406563,91422043,91429243,91484314,91539484,91882973,92237028,92303645,92771822,92952888,93132996,93166225,93457169,93705649,93819480,93833373,93931254,94075541,94130991,94165424,94416756,94472697,94924470,95123674,95269635,95814738,96283413,96370263,96452949,96549860,97020442,97229914,97279070,97466524,97600616,97896350,98013154,98325442,99051874,99316029,99812253,99878242,...,296420051771985295113864155736824375671184256435025905723497926773460383573703840968082226260321813245355246481334151866603172647705597444495776336659722123285990025458015854562289184609653543787709383281580369778925392251841532336629930012192293310201821207152906277738407241907444583084714106781945135229348095133131405113990789190034596486638607203074978690412091928953595650106046905169839190637867260928907953140276433087414232176427480396147382163445774763394031178843875750801343798276736286857483611806813571904118393938764543890485967696448682445304233458690135567789504928768404897152450979770927648470835850163324845847353702411254990377400304641380824559239056985946010515749565712239253332709029243175049374888114279148286272673030789977962654716061931336473348947544645483164858290061377894957692326432047936349126919479448917649884141729987038538504013301288093207626134560885316137091071853329148829552807528616083487336938678088500578809419015708225739299068400115642161592785840734722685911669478140582258503690957032429874737170914846474350116102672071678095448151040603217839520524891650575545747066180192637713387715770100578143422749024667979984260617277346602664859145122643208539991789461850601086272689461234157884218736277793146233634996775557148722566214432385454329031241575644458392634795927870579818328530699484843496422540986501826568264122004042845327064068382420784510631754681817180525280949229166433403949520292051343137645549835744844275315798777942549086783706263381033556995052667287833466985119859998905800456455471428453936267651134932666983556621384958520727618386641136851874090271662730283581982622478360852410078056919854469382268011687670938250639026886536782665518651633741583361669990773130197885463362809620376457277561961990251327824066329342059119739124721209331073908310754339163953871300564714270525190922081803438982290046944352380619446840512120576201869870436188437532432871820449739784479723908304783601354030533698756291121153840785649622981432276374627655975890702689362516682524281860696652864995623842745779593353412509605843487610735459591716945068361225704864299338422961599731753881400121992506468808260137879666355091096406852850822506748454236268657158711981105007418145791435383749435815390017444280325320144712976976952687573800724047109047172254210207771715605382735170048024602139384468978283268025447239475265070651929330246919767101564307042768016278323963139487865285119359078104458268008988349224445685355519645475310980459648468715380271726130425877217621193369032289690027842710212301328645242536179656170679866592694131012527392984124306648000695932980849990908687842486521322290979980241073742744572247204486564782760344794121834270057025151832134892437231630579790754573649173911549522295805050496378237756404236777324833246489885905545370440928409095282071057473906087829956530799210187294255323867697569694692296418336084590577521045416831389450732878152297585533685900853006282285499994948870832090893184542080644211318016379447439231252823700358572372274575538}
19125   9684699310579257180467392991735014958796760673274554504669659353238836: {76484,2346963,2461191,3031971,3911195,4057863,4141879,4482155,4693434,4941979,5378586,5916970,6217251,6444051,6890407,7059970,7100364,7689643,7749322,7900355,8468795,8471964,8480931,8601923,8934919,9270951,9405947,9480426,9882922,10092791,10162554,10171955,10659571,11070460,11414026,11481946,11970663,12206346,12330202,12547402,12643431,12721691,12764170,13013242,13284552,13405507,14118460,14387074,14503867,14879751,14945121,15107443,15317004,15377674,15994311,16389155,16402780,16676794,16942152,17375303,17924860,18039274,18348226,18466567,19059921,19316044,19655331,19666986,19683336,20327554,20719810,20980131,21054922,21123443,21310791,21509832,21895804,22064572,22143753,22467994,22960851,22977659,23618243,23619363,23680595,23988802,24167463,24198561,24347356,24824391,24863772,25394983,25453051,25566442,25808163,26023756,26080819,26354167,26380810,26468795,27192394,27416746,28416714,28475482,28771132,29224234,29802755,29842684,30078460,31050844,31077623,31279720,31656972,31669971,31762554,32571155,32572307,33124616,33285831,33350092,33393363,34284211,34360071,34400476,34562819,34805639,35033587,35189685,35538963,35763306,36094152,36132226,36401722,36431795,36608163,36684299,37265193,37531595,37535664,37648810,37715912,37781511,38368714,38919611,39085386,39089674,39164451,39166780,39178595,40205884,40605921,40679260,40966791,40993139,41354363,41389863,41671882,41916395,42036892,42039479,42227622,42340371,42430401,43074394,43529479,43718154,44139323,44228044,44363325,44445651,44550663,45037914,45075363,45178572,45764291,45796327,45918152,46095105,46750371,46821755,47000136,47014314,47320880,47467771,47513194,47950786,48023147,48427642,48468202,48689608,48815112,48927931,49168112,49456396,49770663,49917634,50299674,50876092,51324963,51657921,51945171,52002460,52178602,52702762,52791994,52875153,53235990,53768764,53848834,53903463,54775809,54875125,54917001,55105928,55314126,55346843,55470395,55563307,56057811,56186106,56785056,57081755,57400567,57488163,57590151,58019434,58101645,59453651,59531260,59669251,59679112,59696539,59837745,59929251,60119164,60828995,61146844,61423499,61497525,61975088,61994169,62053863,62102145,62184970,62402952,62429555,62658951,62691682,63182920,63273405,63332939,63826928,63883188,64167891,64325063,64569363,64642474,64660403,65078216,65170851,65545139,65597360,65850150,66071463,66151595,66151756,66242288,66564474,67139001,67468551,67491632,67581826,67854682,68498106,68659804,68662311,69168625,69353971,69721974,70203321,70240160,70284604,70398826,71080785,71437512,71500763,71805294,71975242,72518163,72994794,73057642,73108131,73212993,73377512,73797030,73931125,74067995,74098605,74369914,74433034,74522574,74540860,74621964,74872851,74887099,74915466,74954649,75223912,75289660,75324107,75819504,75928086,76337511,76542307,76664747,76812520,77019171,77901019,78716832,78778955,78913703,79020180,79038512,79250631,79381914,80297386,80330074,80367201,80409831,80716936,80863355,81147484,81333777,81373191,81661731,81853971,81869987,81951322,82000810,82092045,82376524,82394746,82543043,82549701,82717863,82801114,83002350,83076023,83292711,84057991,84288192,84475996,84497195,84626901,84726051,85280770,85296942,85400539,85578285,85884520,86150747,86414085,86732572,87158325,87564848,88113395,88212625,88535840,88556436,88596172,88628555,88717350,88849985,88881594,88918326,88926451,89131399,89231725,89449032,89841363,89853128,90071553,90347592,90405411,90606556,90806553,90983783,91128796,91283504,92175024,92447445,92968880,93026211,93125674,93248795,93585363,93951754,94272682,94447594,94469884,94534746,94608231,94631840,94824216,94925506,94979463,95074567,95802995,96332362,96555319,96620085,96825925,96872386,96935260,97036026,97728625,97820314,97845514,97875946,98198147,98400972,98510454,98610608,98762451,99379739,99587463,99602820,99679011,...,444630077657977942670796233605236563506776384652538858585246890160190575360555761452123339390482719868032869722001227799904758971558396166743664504989583184928985038187023781843433776914480315681564074922370554668388088377762298504944895018288439965302731810729359416607610862861166874627071160172917702844022142699697107670986183785051894729957910804612468035618137893430393475159070357754758785956800891393361929710414649631121348264641220594221073245168662145091046768265813626202015697415104430286225417710220357856177590908146815835728951544673023667956350188035203351684257393152607345728676469656391472706253775244987268771030553616882485566100456962071236838858585478919015773624348568358879999063543864762574062332171418722429409009546184966943982074092897004710023421316968224747287435092066842436538489648071904523690379219173376474826212594980557807756019951932139811439201841327974205636607779993723244329211292924125231005408017132750868214128523562338608948602600173463242389178761102084028867504217210873387755536435548644812105756372269711525174154008107517143172226560904826759280787337475863318620599270288956570081573655150867215134123537001969976390925916019903997288717683964812809987684192775901629409034191851236826328104416689719350452495163335723083849321648578181493546862363466687588952193891805869727492796049227265244633811479752739852396183006064267990596102573631176765947632022725770787921423843749650105924280438077014706468324753617266412973698166913823630175559395071550335492579000931750200477679789998358700684683207142680904401476702399000475334932077437781091427579961705277811135407494095425372973933717541278615117085379781704073402017531506407375958540329805173998277977450612375042504986159695296828195044214430564685916342942985376991736099494013088679608687081813996610862466131508745930806950847071405787786383122705158473435070416528570929170260768180864302804805654282656298649307730674609676719585862457175402031045800548134436681730761178474434472148414561941483963836054034043775023786422791044979297493435764118669390030118764408765231416103189387575417602541838557296449007634442399597630822100182988759703212390206819499532636644610279276233760122681354402985738067971657511127218687153075624153723085026166420487980217069465465429031360701086070663570758381315311657573408074102755072036903209076703467424902038170859212897605977893995370379650652346460564152024417485944709231797927679038617156687402013482523836668528033279468212966470689472703073070407589195638815826431790053548434535041764065318451992967863804269484256019799889041196518791089476186459972001043899471274986363031763729781983436469970361610614116858370806729847174140517191182751405085537727748202338655847445869686131860473760867324283443707575744567356634606355165987249869734828858318055661392613642923106586210859131744934796198815280941382985801546354542038444627504126885866281568125247084176099317228446378300528851279509423428249992423306248136339776813120966316977024569171158846879235550537858558411863307}
19126   9723147156156224371190890178513236539407464755378851230099064687507518: {95605,114726,896713,1010869,1412438,1640966,1694293,2148469,2781446,3129284,3166153,3281588,3391513,4042628,4290073,4849333,5410484,5729846,6257912,6626869,7040151,7171448,7178569,7981286,8067879,8289668,8592068,8875455,9467152,9476053,10589955,10650546,10882393,11295952,11307908,11623983,12361268,12440966,12596569,12640568,12662438,12707946,13550072,13767638,13838075,14186869,14220639,14608213,14824383,15243831,15342793,15656533,15960884,16186406,16275128,16605690,16857908,17121039,17222919,17280086,17648075,17712736,17731573,17834569,18152438,18309519,18495303,18821103,18962773,19146255,19519863,19839668,19926828,20106806,20422672,20503475,21177690,21187526,21293593,21325748,21580611,21795253,21895369,22264646,22406075,22479638,22589536,22975506,22991893,23066511,23338166,23487433,23766566,24145055,24604170,24835046,25015191,25413228,25474406,26207108,26222648,26244448,26422873,26749238,26887290,27058911,27290869,27369755,27522339,27580715,27807638,27973508,28153033,28414388,28629493,28679776,28974066,28984039,29500479,29525004,29703686,29765653,30123446,30142069,30434195,30491331,30614468,31079715,31492484,31582383,32223284,32264748,32529695,32843706,33001423,33045638,33096858,33099188,33151696,33701991,34297369,34410884,34659673,35739673,35939606,35963915,35983203,36145238,36521034,37295658,37303355,37598075,37780693,37868569,37888952,38349663,38397686,38656213,38813555,39035634,39099650,39261959,39264793,39571215,40178383,40471369,40788591,41125119,41239573,41405770,41441126,41687615,41934139,42209296,42226628,42350072,42603407,42625071,42674713,42713223,43000595,43022098,43051046,43156698,43426069,43452086,43836351,44254069,44336473,44381108,44524484,44764026,45117690,45401173,45813428,46243238,46576266,46919580,47015413,47095369,47144890,47175253,47385284,47485458,47573593,47643831,47684408,48125536,48217687,48364873,48679369,48810884,48958475,49686924,49925833,50025138,50047552,50257355,50375348,50542153,50849075,51001369,51600714,52113848,52219223,52219268,52513369,52546115,52588213,52961353,53102423,53332693,53644959,54141228,54198339,54228202,54254966,54602583,54622388,55186484,55285055,55378933,55848562,56303496,56453828,56473215,56573868,56593753,56935238,56943439,57397690,57553071,57857353,57885638,57962002,58204213,58290872,58628079,58634511,58750170,58960969,59021366,59055178,59151100,59260868,59400884,59963846,60050552,60100484,60238096,60308826,60381493,60527606,60658499,60715033,60715238,60862010,61018890,61046773,61269091,61310869,61460140,61820495,61838006,62226133,62333828,62507823,62666848,62685752,62750831,62999413,63055338,63318553,63326966,63341433,63572569,63595115,64205323,64437638,64514869,64611591,64887253,65003075,65086816,65379733,65577231,65746069,65820923,66342066,66360884,66460406,66650569,67066232,67185493,67210955,67556871,67597513,67767858,67787687,67831369,68102438,68433284,68755273,68877228,68882410,69009638,69158698,69260228,69492373,69884233,70327753,70382869,70500204,70521471,70627319,70965466,70981320,70984393,70992806,71269791,71542823,71679803,71871284,71888486,71926179,72424166,72602438,72641463,72702303,72780566,73034412,73222668,73252213,73314086,73752168,74184594,74261653,74414075,74553926,74598890,74743748,74755573,74876451,74914808,74999833,75083126,75148955,75449511,75530869,75713408,76053193,76194133,76287733,76314138,76433555,76619242,76650884,76786868,76837766,77186966,77388469,77468860,77790553,78003690,78011413,78267903,78317593,78621487,78978650,79054143,79095731,79187991,79382293,79615238,79754569,79783660,79787606,79853985,79873066,79905668,79958869,80161369,80653146,80773251,80914453,81347770,81902869,81996700,82185638,82355846,82658892,82665673,82689695,82738484,82802860,82971189,82982869,83191093,83203936,83545268,83700313,83712326,83833369,84128533,84160969,84279159,84354073,84364540,84555446,84723638,84763573,84794569,84948469,84979033,85177584,85557188,85805593,85824755,85834069,86003413,86092484,86284282,86549173,86894468,87029151,87229238,87313813,87386713,87506773,87625033,87764569,87800200,87855755,87891926,87991369,88057238,88080073,88095284,88189333,88526869,88628569,88752632,88845973,88881638,89036053,89046086,89128393,89218933,89296890,89377369,89445913,89518668,89692693,89708569,89786869,89958068,90067993,90178746,90348469,90398293,90517813,90574873,90640969,90651733,90694069,90704473,90842569,90923893,90966553,91054069,91090969,91170806,91196953,91321369,91330808,91345993,91378069,91393369,91416373,91435093,91446613,91450393,91549748,91683911,91720266,91721890,92788646,92949638,92962632,93176075,93277455,93604428,94029890,94037523,94112075,94774380,95250016,95740392,95824782,95938423,96015650,96425266,96690884,96948059,96963711,97326392,97477508,97617324,97712438,98337686,98396040,98493638,98775225,98798140,99227634,99363432,99495952,99830468,99846711,99887288,99902491,99939532,...,592840103543970590227728311473648751342368512870051811446995853546920767147407681936164452520643626490710492962668303733206345295411194888991552673319444246571980050916031709124578369219307087575418766563160739557850784503683064673259860024384586620403642414305812555476814483814889166169428213563890270458696190266262810227981578380069192973277214406149957380824183857907191300212093810339678381275734521857815906280552866174828464352854960792294764326891549526788062357687751501602687596553472573714967223613627143808236787877529087780971935392897364890608466917380271135579009857536809794304901959541855296941671700326649691694707404822509980754800609282761649118478113971892021031499131424478506665418058486350098749776228558296572545346061579955925309432123862672946697895089290966329716580122755789915384652864095872698253838958897835299768283459974077077008026602576186415252269121770632274182143706658297659105615057232166974673877356177001157618838031416451478598136800231284323185571681469445371823338956281164517007381914064859749474341829692948700232205344143356190896302081206435679041049783301151091494132360385275426775431540201156286845498049335959968521234554693205329718290245286417079983578923701202172545378922468315768437472555586292467269993551114297445132428864770908658062483151288916785269591855741159636657061398969686992845081973003653136528244008085690654128136764841569021263509363634361050561898458332866807899040584102686275291099671489688550631597555885098173567412526762067113990105334575666933970239719997811600912910942856907872535302269865333967113242769917041455236773282273703748180543325460567163965244956721704820156113839708938764536023375341876501278053773073565331037303267483166723339981546260395770926725619240752914555123923980502655648132658684118239478249442418662147816621508678327907742601129428541050381844163606877964580093888704761238893681024241152403739740872376875064865743640899479568959447816609567202708061067397512582242307681571299245962864552749255311951781405378725033365048563721393305729991247685491559186706825019211686975221470919183433890136722451409728598676845923199463507762800243985012937616520275759332710182192813705701645013496908472537314317423962210014836291582870767498871630780034888560650640289425953953905375147601448094218094344508420415543431210765470340096049204278768937956566536050894478950530141303858660493839534203128614085536032556647926278975730570238718156208916536017976698448891370711039290950621960919296937430760543452260851754435242386738064579380055685420424602657290485072359312341359733185388262025054785968248613296001391865961699981817375684973042644581959960482147485489144494408973129565520689588243668540114050303664269784874463261159581509147298347823099044591610100992756475512808473554649666492979771811090740881856818190564142114947812175659913061598420374588510647735395139389384592836672169181155042090833662778901465756304595171067371801706012564570999989897741664181786369084161288422636032758894878462505647400717144744549151076}
19127   9761746542304337742501372694219171599762428529217208535034110415429646: {152968,172089,2118657,2461449,3911605,4101985,4172169,4693926,4922382,5053285,5475673,6063942,6088753,6275017,6763105,7463017,7765153,7822390,8115726,8283758,8594769,8964310,9021529,9386868,9406933,9858673,9883958,10054633,10093849,10165909,10362085,10512529,10740085,10757172,11060497,11833940,11856313,11971929,11996917,12434502,12888102,13291093,13599049,13780814,14119940,14134885,14200728,14240737,15379286,15451585,15498644,15800710,15975819,16037029,16543153,16937590,16943928,16961862,17203846,17869838,18541902,18661449,18811894,18960852,18993657,19061919,19108153,19765844,19951105,20185582,20325108,20343910,20534449,20651457,21072385,21319142,21541729,22140920,22373593,22828052,22944817,22963892,23223169,23624917,23941326,24279609,24412692,24660404,24799585,24908535,24964069,25094804,25286862,25443382,25528340,25558633,25680913,25920129,25966513,26026484,26569104,26657185,26811014,27228657,27912469,28236920,28601353,28774148,29007734,29336017,29759502,29890242,30160209,30214886,30634008,30755348,31352437,31766535,31781289,31953049,31988622,32638453,32742193,32758885,32778310,32805560,33152833,33353588,33396969,33676453,33719457,33884304,34463259,34750606,34818673,34966885,35007249,35208853,35517985,35649849,35849720,36078548,36696452,36906255,36933134,36977233,37056313,37252569,37331557,38119842,38211609,38268085,38473777,38629033,38632088,39310662,39333972,39365605,39366672,40123857,40279105,40330935,40655108,40997473,41133937,41373985,41409313,41439620,41544673,41711457,41723857,41960262,42109844,42246886,42266233,42621582,43013605,43019664,43371649,43461099,43791608,44129144,44188117,44287506,44555529,44935988,45013369,45185169,45599617,45921702,45955318,47236486,47238726,47361190,47977604,48334926,48397122,48446437,48667753,48694712,48920449,49062229,49265559,49568457,49645287,49648782,49727544,50789966,50906102,51004513,51132884,51616326,52047512,52161638,52502137,52544233,52708334,52761620,52783285,52937590,53314393,53449813,53672929,53909409,54217857,54384788,54781551,54833492,54850033,55476385,55655605,55943487,56833428,56905909,56950964,57165649,57266785,57402433,57542264,57596529,58046689,58448468,58553451,58649475,58682953,59231605,59605510,59685368,59871937,60156920,61013605,61429993,61469029,62066677,62101688,62108655,62155246,62161689,62559440,62570293,62969185,63313944,63339637,63339942,63433033,63525108,63975913,64533147,64576569,64735047,64738729,65142310,65144614,65178129,65274085,65550457,66170329,66249232,66571662,66700184,66786726,67146039,67676535,67790713,67814569,68277985,68417617,68568422,68649793,68720142,68800952,68983105,69125638,69364857,69611278,69864399,70067174,70379370,70550713,70567285,70717335,70783873,71077926,71228187,71526612,72188304,72264452,72803444,72863590,73216326,73368598,73514869,73938875,74071393,74076085,74251105,74530386,75037707,75063190,75071328,75110953,75125605,75297620,75431824,75563022,75689713,76020529,76423729,76737428,76825175,76902529,77306293,77401071,77462437,77658553,77839222,77917285,78170772,78179348,78328902,78333560,78357190,79914457,80411768,80471353,80518873,81211842,81342303,81358520,81382449,81745873,81933582,81986278,82708726,82779726,82951105,82968913,83084809,83260873,83343764,83772843,83832790,83945929,84073784,84078958,84455244,84680742,84860802,85160593,85402857,85541605,85684129,86096535,86148788,86575285,86791273,86828457,86943003,87058958,87401377,87436308,87516193,87901909,88125255,88278646,88456088,88532049,88582767,88726650,88891302,89101326,89839105,89945769,90075828,90093313,90150726,90357144,90463239,90791409,91072857,91293015,91528335,91528582,91592654,91836304,91894273,92190210,92612233,92757009,93261649,93429685,93500742,93643510,94000272,94028628,94583007,94641760,94935542,94990449,95026388,95415217,95813605,95901572,95983585,96046294,96286129,96656457,96836075,96855284,96936404,97379216,97550869,97630224,97855862,98132857,98198353,98208529,98336224,98719513,98912792,99295333,99513099,99541326,99658729,99690609,99729575,99835268,99882085,...,889260155315955885341592467210473127013552769305077717170493780320381150721111522904246678780965439736065739444002455599809517943116792333487329009979166369857970076374047563686867553828960631363128149844741109336776176755524597009889790036576879930605463621458718833215221725722333749254142320345835405688044285399394215341972367570103789459915821609224936071236275786860786950318140715509517571913601782786723859420829299262242696529282441188442146490337324290182093536531627252404031394830208860572450835420440715712355181816293631671457903089346047335912700376070406703368514786305214691457352939312782945412507550489974537542061107233764971132200913924142473677717170957838031547248697136717759998127087729525148124664342837444858818019092369933887964148185794009420046842633936449494574870184133684873076979296143809047380758438346752949652425189961115615512039903864279622878403682655948411273215559987446488658422585848250462010816034265501736428257047124677217897205200346926484778357522204168057735008434421746775511072871097289624211512744539423050348308016215034286344453121809653518561574674951726637241198540577913140163147310301734430268247074003939952781851832039807994577435367929625619975368385551803258818068383702473652656208833379438700904990326671446167698643297156362987093724726933375177904387783611739454985592098454530489267622959505479704792366012128535981192205147262353531895264045451541575842847687499300211848560876154029412936649507234532825947396333827647260351118790143100670985158001863500400955359579996717401369366414285361808802953404798000950669864154875562182855159923410555622270814988190850745947867435082557230234170759563408146804035063012814751917080659610347996555954901224750085009972319390593656390088428861129371832685885970753983472198988026177359217374163627993221724932263017491861613901694142811575572766245410316946870140833057141858340521536361728605609611308565312597298615461349219353439171724914350804062091601096268873363461522356948868944296829123882967927672108068087550047572845582089958594986871528237338780060237528817530462832206378775150835205083677114592898015268884799195261644200365977519406424780413638999065273289220558552467520245362708805971476135943315022254437374306151248307446170052332840975960434138930930858062721402172141327141516762630623315146816148205510144073806418153406934849804076341718425795211955787990740759301304692921128304048834971889418463595855358077234313374804026965047673337056066558936425932941378945406146140815178391277631652863580107096869070083528130636903985935727608538968512039599778082393037582178952372919944002087798942549972726063527459563966872939940723221228233716741613459694348281034382365502810171075455496404677311694891739372263720947521734648566887415151489134713269212710331974499739469657716636111322785227285846213172421718263489869592397630561882765971603092709084076889255008253771732563136250494168352198634456892756601057702559018846856499984846612496272679553626241932633954049138342317693758471101075717116823726614}
19128   9800498062022316506099749517270459296119152406902301325753749723013967: {133847,191210,229452,782567,896807,1125071,1793426,1846007,2021738,2413127,2824876,2827871,3281932,3388586,3429407,3991487,4296938,4327871,5073071,5562892,6221807,6258568,6332306,6563176,6783026,7040889,7105871,7383573,7436207,7656071,8085256,8386871,8532647,8580146,8714687,9095913,9150767,9698666,10055567,10820968,10883567,11242247,11459692,11733585,11957207,12173589,12425637,12491327,12515824,12917327,13253738,13377527,13446465,13906847,13977287,14080302,14342896,14357138,14434367,14792425,14825937,15030047,15134927,15344471,15693071,15962572,16006127,16135758,16579336,16595687,16906871,17044967,17184136,17217407,17649925,17750910,18076607,18282071,18651753,18658007,18794471,18934304,18952106,18998927,19305071,19332153,19373305,19610567,20671221,20691527,21027647,21179910,21301092,21764786,21797687,22131167,22591904,22615816,22795727,22994471,23027567,23068929,23192927,23247966,23523047,23701065,24279287,24508607,24707305,24722536,24802871,24881932,25193138,25281136,25324876,25406385,25415892,25442793,25584407,25779071,25805769,25973447,26804757,26941007,27100144,27229871,27390071,27535276,27676150,27812853,28188071,28217841,28347071,28373738,28441278,28535065,28632767,28704865,28949447,29216426,29580407,29648766,29769071,30270767,30278373,30487662,30515865,30685586,30825505,30832727,30988367,31205927,31313066,31361087,31368505,31910425,31921768,31978713,32287847,32372812,32533105,32550256,32564471,33211380,33715816,33803077,34242078,34422287,34445838,34560172,34693871,35296150,35425472,35463146,35474807,35564567,35669138,35743871,35911989,35967685,36304876,36369167,36619038,36990606,37344647,37642206,37814471,37925546,37930293,38165073,38292510,38317657,38444185,38613001,38660807,39039726,39298367,39679336,39853656,39874607,40132871,40213612,40216521,40675967,40845344,41006950,41102687,41244527,41691985,41866247,42355380,42375052,42587186,42607873,42651496,43098071,43161222,43511601,43590506,43625207,43790738,43881013,44039327,44451647,44506487,44529292,44639253,44812150,44835363,44959276,45098185,45179072,45270887,45322329,45541573,45569471,45870565,45951012,45983786,46133022,46400497,46539887,46676332,46780871,46974866,47021207,47533132,47579471,47982933,48290110,48397127,48868367,48920567,49167465,49181087,49208340,49259087,49670092,49957847,50030382,50163767,50349481,50574071,50818885,50826456,50854967,50948812,51084071,51236447,51616127,51799525,52125909,52224697,52414216,52445296,52470071,52488896,52619807,52637305,52845746,52992887,53339471,53364167,53498476,53774580,54076871,54117822,54174647,54223487,54296687,54338977,54581738,54685871,54739510,55024727,55044678,55161430,55265807,55399701,55410071,55615276,55947016,56103287,56169985,56269607,56306066,56813327,56828776,57095327,57179763,57258986,57359552,57399527,57864887,57888071,57948132,57968078,58003871,58211807,58362661,58488047,58831727,58965993,59000958,59050008,59407372,59513687,59531306,59716871,59972005,60143687,60200833,60246892,60284138,60389471,60589847,60745247,60811727,60868390,60982662,61076927,61228936,61734887,62159430,62256071,62450327,62757409,62940393,62984968,63029207,63135767,63164766,63327071,63348287,63370329,63728807,63916105,63932373,64273871,64357247,64446568,64529496,64710167,64772207,65059390,65687412,65896847,65952025,66002846,66091276,66193716,66198376,66303392,66431259,66500087,66739367,67214471,67312871,67403982,67606871,67723967,67794793,67980985,68015447,68382071,68541865,68594738,68650367,68783927,68821768,68882553,68932977,69319346,69502127,70005407,70190327,70356071,70360297,70831247,70854729,70858089,71041785,71188705,71336927,71479346,71533871,71687317,71712071,71879212,71927830,71966406,72290476,72399407,72502389,72595683,72660527,73042068,73060585,73262807,73564561,73687007,74122871,74160073,74189447,74272487,74289071,74388407,74437967,74470967,74473173,74536871,74591316,74606710,74782871,74962127,75196150,75205007,75561386,75685367,75737138,75762709,75777904,76080167,76158527,76184949,76221071,76359153,76624487,76670687,76699326,76795372,77234567,77309927,77312426,77399077,77424489,77627110,77757887,77817071,77890871,78071268,78199300,78242457,78523918,78529586,78632207,78817847,78973871,79062501,79142430,79324871,79406385,79408367,79615847,80112721,80227487,80267687,80294447,80347871,80356766,80731367,80809871,80942738,81004871,81056567,81389471,81577182,81891071,81965207,82026767,82250238,82391927,82479146,82571807,82811540,82882252,82902767,83215967,83375230,83376071,83478167,83725007,83868278,83978927,84418592,84453256,84463487,84550609,84700144,84725687,84746447,84993071,85033727,85185047,85206814,85250142,85294871,85349426,85371913,85426446,85501847,85686071,85819967,85971071,86001190,86044196,86102092,86313396,86330807,86376047,86439047,86548693,86563871,86572727,86834687,86852138,86904172,87005327,87238847,87377567,87409871,87521927,87672702,87764471,87924407,87961967,88058687,88212071,88418087,88459871,88501367,88508138,88590287,88624127,88672946,88762216,88868327,89033161,89048968,89052071,89058287,89205071,89235071,89270807,89329727,89408265,89528052,89529647,89551871,89584967,89661071,89709167,89793071,89849567,89864807,89944871,90089471,90159071,90235380,90253487,90330565,90340127,90382247,90394727,90419471,90535007,90538871,90592127,90595871,90618167,90669071,90721871,90786167,90802346,90897047,90944471,90975887,91004305,91094327,91116071,91183871,91204871,91215071,91223087,91246367,91307687,91327967,91336871,91352447,91356527,91365767,91375847,91387727,91406087,91418567,91420367,91452407,91454471,91460687,91462871,91465607,91626856,92486476,93152532,93232869,93476773,93839160,94030826,94095337,94122025,94190738,94289780,94350506,94770568,94970916,95009913,95147186,95287662,95368816,95921785,96251072,96435374,96729746,97358738,97621768,97713465,97716921,97724185,97916950,99373848,99851666,99857493,...,1333890232973933828012388700815709690520329153957616575755740670480571726081667284356370018171448159604098609166003683399714276914675188500230993514968749554786955114561071345530301330743440947044692224767111664005164265133286895514834685054865319895908195432188078249822832588583500623881213480518753108532066428099091323012958551355155684189873732413837404106854413680291180425477211073264276357870402674180085789131243948893364044793923661782663219735505986435273140304797440878606047092245313290858676253130661073568532772724440447507186854634019071003869050564105610055052772179457822037186029408969174418118761325734961806313091660850647456698301370886213710516575756436757047320873045705076639997190631594287722186996514256167288227028638554900831946222278691014130070263950904674241862305276200527309615468944215713571071137657520129424478637784941673423268059855796419434317605523983922616909823339981169732987633878772375693016224051398252604642385570687015826845807800520389727167536283306252086602512651632620163266609306645934436317269116809134575522462024322551429516679682714480277842362012427589955861797810866869710244720965452601645402370611005909929172777748059711991866153051894438429963052578327704888227102575553710478984313250069158051357485490007169251547964945734544480640587090400062766856581675417609182478388147681795733901434439258219557188549018192803971788307720893530297842896068177312363764271531248950317772841314231044119404974260851799238921094500741470890526678185214651006477737002795250601433039369995076102054049621428042713204430107197001426004796232313343274282739885115833433406222482286276118921801152623835845351256139345112220206052594519222127875620989415521994833932351837125127514958479085890484585132643291694057749028828956130975208298482039266038826061245441989832587398394526237792420852541214217363359149368115475420305211249585712787510782304542592908414416962847968895947923192023829030158757587371526206093137401644403310045192283535423303416445243685824451891508162102131325071359268373134937892480307292356008170090356293226295694248309568162726252807625515671889347022903327198792892466300548966279109637170620458498597909933830837828701280368044063208957214203914972533381656061459226872461169255078499261463940651208396396287094082103258211990712275143945934972720224222308265216110709627230110402274706114512577638692817933681986111138951957039381692456073252457834127695393783037115851470062206040447571510005584099838404638899412068418109219211222767586916447479295370160645303605125292195955355978903591412808452768059399667123589556373268428559379916003131698413824959089095291189345950309409911084831842350575112420189541522421551573548254215256613183244607015967542337609058395581421282601972850331122727233702069903819065497961749609204486574954166984177840928769319758632577395234804388596445842824148957404639063626115333882512380657598844704375741252528297951685339134901586553838528270284749977269918744409019330439362898950931073707513476540637706651613575675235589921}
19129   9839402310612673286051401954603468733204316666908631618381386659409735: {286815,305936,344178,2690139,3032607,3531095,4102415,4237314,4922898,5082879,5476247,5742779,6445407,6508667,6953615,7074599,7195799,7765967,7823210,8203970,8341019,8344338,9176999,9387852,9468347,9498459,9844764,10055687,10106570,10174539,10513631,10661807,10951346,11237531,11651159,12127884,12177506,12550034,12870219,13408319,13526210,13939439,14040587,14324615,14506919,14547999,14854751,14926034,15036119,15530306,15644780,16227719,16231452,16567516,17143031,17189538,17928620,18043058,18773736,18813866,19550999,19717346,19755887,19767916,19788839,19880607,19953215,20109266,20187698,20331818,20724170,21025058,21120453,21356171,21480170,21514344,21535707,21632219,22120994,22791791,23667880,23712626,23943858,23993834,24203637,24869004,25458407,25776204,26404319,26441519,26582186,26626365,27198098,27561628,27757307,27931547,28239880,28269770,28401456,28428159,28481474,28565531,28900367,29018891,29501339,30758572,30903170,30997288,31102415,31601420,31656095,31769865,31951638,32074058,32647179,33086306,33284759,33801599,33875180,33887856,33923724,34407692,34419095,34719419,34871949,35040959,35739676,35998967,36478271,37083804,37320059,37322898,37623788,37789707,37921704,37987314,38123838,38216306,38695319,39351071,39527387,39531688,39902210,40371164,40466015,40650216,40687820,41068898,41302914,41413691,41514225,42144770,42409079,42560607,42638284,42661917,42952967,43083458,43200215,43824639,44281840,44473149,44747186,44833199,45381095,45656104,45731493,45862439,45889634,45927784,46028379,46446338,46969599,47238731,47249834,47882652,48451559,48559218,48825384,48938279,48953639,49320808,49386719,49599170,49725179,49817070,49928138,50189608,50267015,50573724,50886764,51056680,51117266,51361826,51363117,51668757,51840258,51933026,52052968,52445831,52944225,52968815,53138208,53194719,53314370,53503707,53575319,53622028,54393371,54457314,54928557,55111847,55437659,55485909,55574999,55661615,55824938,56199095,56390747,56463309,56473840,56888319,57136007,57202706,57438765,57548296,57923579,58015468,58345415,58376639,58559589,58672034,58678859,59416415,59519004,59681807,59780484,60219047,60320418,60429772,61268016,61510425,61510696,61570151,62073239,62087615,62704874,63007919,63533070,63562578,63686015,63880779,63906098,63977244,63982679,64741833,65219879,65276906,65385759,65484386,65517770,65556620,65611120,65686107,66305666,66707176,66793938,66873095,67218225,67352906,67438914,67500959,67768608,67839239,68403467,68413391,68657051,68926518,68975679,69199533,69368639,69501212,69519095,69637346,69877559,69933770,70014498,70417706,70462299,70791359,71035970,71299698,71502491,71699440,72157096,72435165,73392904,73812510,73866268,73896599,73954466,74112626,74259215,74505138,74663114,75045573,75308615,75766091,76239684,76423218,76509407,76536170,76947554,77258066,77264176,77657087,77666939,77917847,78621324,78667944,78731210,78733344,79268619,79351199,80173499,80247714,80558210,80661870,81176733,81310216,81694331,81872607,81994946,82109265,82267874,82567017,82614095,82742145,82747970,82818626,82879240,82924247,83089346,83422914,83447714,83920524,83954807,84219688,84459099,84493772,84532466,84817151,85243164,85419047,85888479,86027210,86039328,86401151,86743298,86922198,86952117,87322379,87538919,87583216,88156859,88258288,88376234,88501437,88575012,88690907,89111058,89296959,89451479,89849015,89871976,89938571,90026738,90200891,90363095,90370338,90426207,90884807,91199234,91302585,91383719,91473993,91843404,91877339,91910636,92189807,93239145,93808847,94472972,94477452,94722380,94747149,95589179,95955208,95994215,96576347,96608759,96669852,96794244,96892874,97002011,97198679,97335506,97389424,97571039,97589085,97749125,97840898,98124458,98531118,98794199,99004269,99136914,99290574,99297564,99305831,99455088,...,1778520310631911770683184934420946254027105538610155434340987560640762301442223045808493357561930879472131478888004911199619035886233584666974658019958332739715940152748095127373735107657921262726256299689482218673552353511049194019779580073153759861210927242917437666430443451444667498508284640691670811376088570798788430683944735140207578919831643218449872142472551573721573900636281431019035143827203565573447718841658598524485393058564882376884292980674648580364187073063254504808062789660417721144901670840881431424710363632587263342915806178692094671825400752140813406737029572610429382914705878625565890825015100979949075084122214467529942264401827848284947355434341915676063094497394273435519996254175459050296249328685674889717636038184739867775928296371588018840093685267872898989149740368267369746153958592287618094761516876693505899304850379922231231024079807728559245756807365311896822546431119974892977316845171696500924021632068531003472856514094249354435794410400693852969556715044408336115470016868843493551022145742194579248423025489078846100696616032430068572688906243619307037123149349903453274482397081155826280326294620603468860536494148007879905563703664079615989154870735859251239950736771103606517636136767404947305312417666758877401809980653342892335397286594312725974187449453866750355808775567223478909971184196909060978535245919010959409584732024257071962384410294524707063790528090903083151685695374998600423697121752308058825873299014469065651894792667655294520702237580286201341970316003727000801910719159993434802738732828570723617605906809596001901339728309751124365710319846821111244541629976381701491895734870165114460468341519126816293608070126025629503834161319220695993111909802449500170019944638781187312780176857722258743665371771941507966944397976052354718434748327255986443449864526034983723227803388285623151145532490820633893740281666114283716681043072723457211219222617130625194597230922698438706878343449828701608124183202192537746726923044713897737888593658247765935855344216136175100095145691164179917189973743056474677560120475057635060925664412757550301670410167354229185796030537769598390523288400731955038812849560827277998130546578441117104935040490725417611942952271886630044508874748612302496614892340104665681951920868277861861716125442804344282654283033525261246630293632296411020288147612836306813869699608152683436851590423911575981481518602609385842256608097669943778836927191710716154468626749608053930095346674112133117872851865882757890812292281630356782555263305727160214193738140167056261273807971871455217077937024079199556164786075164357904745839888004175597885099945452127054919127933745879881446442456467433483226919388696562068764731005620342150910992809354623389783478744527441895043469297133774830302978269426538425420663948999478939315433272222645570454571692426344843436526979739184795261123765531943206185418168153778510016507543465126272500988336704397268913785513202115405118037693712999969693224992545359107252483865267908098276684635387516942202151434233647453228}
19130   9878459885690599895604988925466848052819263379310686514597381168016880: {267694,382420,458904,516267,820741,1163209,1505029,1565134,1793614,2250142,2865829,2978761,3586852,3692014,3991909,4043476,4826254,5110789,5649752,5655742,6333241,6355971,6563864,6777172,6858814,6996361,7384347,7982974,8205349,8593876,8655742,10146142,10164901,10705081,11125784,11243461,11350921,11734815,12305955,12421561,12443614,12516507,12517136,12664612,12741349,13126352,13485001,13566052,13802629,14081778,14211742,14767146,14872414,15066661,15159855,15171529,15312142,16007881,16170512,16427019,16528261,16735909,16773742,17065294,17160292,17429374,18078601,18191826,18266259,18284089,18301534,18694201,18825051,19307209,19397332,19555975,19612741,20111134,20120521,20289315,20709395,20727481,21029989,21532729,21641936,21767134,22333369,22389051,22410775,22484494,22831429,22919384,23030149,23228581,23295459,23467170,23914414,24347178,24511369,24709895,24851274,24982654,25031648,25197061,25587301,25784307,25834654,25976389,26507476,26755054,26892930,26944069,27064587,27122627,27232969,27713029,27813694,27954574,28160604,28220799,28382089,28685792,28714276,28868734,29047621,29576019,29584850,29615269,29651874,30060094,30163899,30269854,30274249,30281547,30368101,30461881,30497727,30688942,31023049,31086255,31386142,31537587,31674469,31925144,32012254,32220255,32271516,32322361,33158672,33181491,33191374,33813742,34089934,34154041,34368272,34434814,34452035,34590227,35059081,35299850,35501820,35508901,35568939,35598649,35915787,35990751,36153214,36314041,36403141,36564142,37290181,37303506,37316014,37588942,37868608,37904212,37994629,37997854,38448215,38519941,38610142,38664306,38746610,39221134,39501775,39735589,39873279,39908101,39949091,39994249,40186811,40680841,40797147,41192761,41342442,41383054,42055294,42343975,42359820,42377161,42404655,42602184,42722211,43009615,43155707,43529572,43595374,43915907,44044681,44127301,44262334,44539321,44621509,44674595,45031369,45183808,45231632,45276421,45546347,45591454,45602149,45683401,45988942,46055134,46137858,46354755,46385854,46491961,46495932,47029735,47046094,47402130,47927457,48111087,48558574,48639109,49017214,49187209,49265221,49414610,49445072,49605742,49629459,49763864,50354759,50386276,50463955,50562272,50649752,50812770,50831784,50859775,50885586,51168814,51192121,51344329,51558142,51611538,51647881,51859379,51874789,51946894,52326661,52401721,52775941,53297855,53370949,53609514,53821859,53882014,54200288,54254821,54328009,54459742,54780142,54836951,54838309,55055929,55070552,55272901,55352300,55561189,55625706,55984347,56348041,56376142,56435682,56694142,56747476,56882556,56980971,56985349,57070130,57185757,57265534,57324459,57409730,57546949,57895609,57898894,58368779,58432852,58518661,58862281,59160814,59272249,59297532,59538142,59747269,59853315,59882341,60541534,60556746,60975324,61031730,61151161,61371172,61603347,61612069,61651010,61665454,61954371,61976734,62411854,62626132,62716729,62722174,62737010,63137459,63165541,63217155,63356809,63608455,63820850,63843536,63957426,64218791,64428421,64575694,64625187,64745624,65066210,65100512,65128942,65295301,66422760,66509221,66808201,66948211,67027535,67120779,67341829,67431632,67606154,68044261,68102329,68484156,68621701,68679049,68834451,68844574,68891676,69120344,69387742,69669507,69810889,70033801,70255561,70531141,70592300,70850944,70859461,70874751,70926292,70949614,71129134,71146439,71185189,71338276,71487742,71561929,71722309,71823978,71935370,72146821,72409801,72514489,72519335,72609752,72670981,72738334,72838827,73238076,73494661,73692227,73981212,74167847,74200261,74299909,74398755,74448841,74498341,74547769,74689294,74725605,74892207,74989381,75284412,75473221,75537215,75628942,75770651,75851092,75860586,76185481,76330146,76465849,76585020,76635314,76675899,76888370,76927369,77042739,77226002,77246149,77321614,77471689,77606149,77760387,77899539,77917369,78079452,78442681,78596734,78637979,79042441,79253221,79358672,79628089,79707312,79749214,79833829,79915621,79971555,80121119,80239909,80265742,80427224,80433042,80678281,80835529,81262021,81300361,81351934,81642181,81685971,81690688,81945775,82013900,82058779,82205374,82271929,82380901,82417081,82489054,82561081,82810309,83125561,83160229,83332489,83383970,83732494,83737407,83960807,84003529,84069049,84710760,84739621,84750104,85174372,85199161,85215746,85302992,85700389,85786681,85804059,85929061,86097541,86196142,86322444,86345401,86399689,86587429,86849509,86876515,87023202,87181012,87250414,87376441,87581476,87639781,87762026,87779749,87962341,88008051,88078654,88626361,88646629,88825801,88903294,89012974,89058584,89074309,89092921,89221189,89278506,89482547,89537747,89601349,89624300,89670726,89682889,89794021,89809609,89871241,89918552,90077881,90175909,90196370,90230341,90283621,90358144,90480627,90485221,90541774,90556069,90613129,90644658,90700681,90793669,90842809,90996421,91029541,91083146,91136389,91138942,91264549,91322761,91341769,91355269,91428709,91439941,91442569,91458949,91461001,91471801,91486309,91741130,91902024,91967572,92266044,92332835,92800994,93079774,93352664,93561742,93735127,93949732,94042414,94057311,95066264,95158942,95173379,95299605,95343867,95859147,95958611,95965866,96580220,96794254,97736734,97841134,97915359,98226579,98276655,98334930,98362174,98416680,98518174,99340184,99458499,99664187,99915694,99923447,...,2667780465947867656024777401631419381040658307915233151511481340961143452163334568712740036342896319208197218332007366799428553829350377000461987029937499109573910229122142691060602661486881894089384449534223328010328530266573791029669370109730639791816390864376156499645665177167001247762426961037506217064132856198182646025917102710311368379747464827674808213708827360582360850954422146528552715740805348360171578262487897786728089587847323565326439471011972870546280609594881757212094184490626581717352506261322147137065545448880895014373709268038142007738101128211220110105544358915644074372058817938348836237522651469923612626183321701294913396602741772427421033151512873514094641746091410153279994381263188575444373993028512334576454057277109801663892444557382028260140527901809348483724610552401054619230937888431427142142275315040258848957275569883346846536119711592838868635211047967845233819646679962339465975267757544751386032448102796505209284771141374031653691615601040779454335072566612504173205025303265240326533218613291868872634538233618269151044924048645102859033359365428960555684724024855179911723595621733739420489441930905203290804741222011819858345555496119423983732306103788876859926105156655409776454205151107420957968626500138316102714970980014338503095929891469088961281174180800125533713163350835218364956776295363591467802868878516439114377098036385607943576615441787060595685792136354624727528543062497900635545682628462088238809948521703598477842189001482941781053356370429302012955474005590501202866078739990152204108099242856085426408860214394002852009592464626686548565479770231666866812444964572552237843602305247671690702512278690224440412105189038444255751241978831043989667864703674250255029916958171780969170265286583388115498057657912261950416596964078532077652122490883979665174796789052475584841705082428434726718298736230950840610422499171425575021564609085185816828833925695937791895846384047658060317515174743052412186274803288806620090384567070846606832890487371648903783016324204262650142718536746269875784960614584712016340180712586452591388496619136325452505615251031343778694045806654397585784932601097932558219274341240916997195819867661675657402560736088126417914428407829945066763312122918453744922338510156998522927881302416792792574188164206516423981424550287891869945440448444616530432221419254460220804549412229025155277385635867363972222277903914078763384912146504915668255390787566074231702940124412080895143020011168199676809277798824136836218438422445535173832894958590740321290607210250584391910711957807182825616905536118799334247179112746536857118759832006263396827649918178190582378691900618819822169663684701150224840379083044843103147096508430513226366489214031935084675218116791162842565203945700662245454467404139807638130995923499218408973149908333968355681857538639517265154790469608777192891685648297914809278127252230667765024761315197689408751482505056595903370678269803173107677056540569499954539837488818038660878725797901862147415026953081275413303227151350471179842}
19131   9917671387192887139678392367211927796187208075919178069861883484690174: {401541,478025,573630,611872,688356,2347701,2690421,3375213,4483565,4943533,5054345,5380278,5538021,5743381,6065214,7062190,7239381,7692061,8204830,8471465,8474628,8483613,8604629,9177961,9735061,9845796,9860741,10165758,10288221,10742345,10952494,11238709,11485558,11974461,12725693,12890814,12983613,13017334,13293881,13907230,14149198,14391598,15219213,15531934,15579373,15646420,15830765,16040393,16407940,16593421,16682038,16688676,16957565,17380781,18325309,18353998,18631349,18665421,18775704,18936694,18996918,19689528,20054461,20111374,20213140,20349078,21027262,21122667,21317613,21323614,21450365,21902692,22080109,22150719,22308621,22378301,22475062,22968213,23302318,24246665,24255768,24355012,25100068,25160613,25597941,25740438,26144061,26816638,26852741,26935753,27052420,27287739,27452301,27878878,27934501,28081174,28649230,29013838,29095998,29709502,29852068,30072238,30166701,30310141,31060612,31087421,31289560,32455438,32462904,32645321,32650701,33134345,33135032,33726741,34286062,34295053,34379076,35200755,35857240,35871621,35892845,36056141,36086116,36500921,36520767,37200613,37276911,37473981,37547472,37627732,38751981,39101998,39184829,39434692,39511774,39535832,39577678,39761214,39906430,40132581,40218532,40339395,40375396,40663636,41367401,41448340,41720541,41931861,42050116,42052733,42240906,42712342,42960340,43028688,43071414,43264438,43303101,43543381,44241988,44318533,44377275,44477811,45090141,45404781,45583582,46033413,46035989,46761461,47079213,47335760,47380265,47406221,47425252,47887716,47987668,48018381,48186733,48407274,48943453,49072553,49738008,49787061,50107693,50720613,50916814,51134901,51552408,51652221,52097309,52808638,52883038,52949775,53164372,53252730,53790533,54229821,54396196,54411965,54846213,55123256,55514614,55653929,55863094,55955259,55974021,56383413,56479760,56539540,56652421,56802912,56856318,56962948,56996781,57131062,57800734,57915213,57996459,58037782,58119915,58231349,58831701,59002678,60480301,61517144,61806340,61994576,62013663,62074581,62204830,62982845,63082941,63202840,63312190,63353033,63446381,63533533,63539730,63903276,64148116,64573573,64972493,65294358,65393061,65566061,66172612,66184253,66393501,66569518,67603198,67750360,67775712,67847448,68387181,68815384,68838190,68983413,69082701,69190375,69206787,69334649,69375973,69438838,69578781,69743898,70081918,70373821,70569141,70732489,70934345,71103195,71479352,71510053,71656541,71997934,72837861,72956542,73041065,73525821,74121915,74122901,74156341,74167608,74408613,74640118,74645796,74696701,75247576,75579414,75843408,75974628,76219155,76247676,76328379,76432612,76713965,76753221,77337213,77390638,77417307,77920341,77926261,78282665,78678733,78702142,79054774,79063376,79595189,79804420,80149949,80414271,80742328,80823021,80840461,80932030,81300432,81375640,81683581,81689613,82137796,82170213,82569509,82605828,82827382,83028450,83102381,83182981,83438559,84289540,84564213,84653523,84818158,85041213,85121214,85276568,85323834,85605195,85685741,85898301,85905934,86114595,86166916,86192909,86400430,86848341,86922661,87649278,88240375,88563680,88657865,88741221,88946298,88954573,89160421,89172845,89307213,89494372,89666398,90762190,90812301,90835119,91312208,91462986,91547595,91724878,91779268,91855568,92056758,92216069,92476515,92498181,92892676,92965101,93617781,93622333,93939198,94083261,94105515,94477462,94499668,94813865,95731275,95765304,95936139,96863541,96903118,97118436,97326733,97599315,97650768,97693413,97876558,97907278,98641616,98773438,99198340,99411461,99450358,99634140,99856276,...,4001670698921801484037166102447129071560987461872849727267222011441715178245001853069110054514344478812295827498011050199142830744025565500692980544906248664360865343683214036590903992230322841134076674301334992015492795399860686544504055164595959687724586296564234749468497765750501871643640441556259325596199284297273969038875654065467052569621197241512212320563241040873541276431633219792829073611208022540257367393731846680092134381770985347989659206517959305819420914392322635818141276735939872576028759391983220705598318173321342521560563902057213011607151692316830165158316538373466111558088226907523254356283977204885418939274982551942370094904112658641131549727269310271141962619137115229919991571894782863166560989542768501864681085915664702495838666836073042390210791852714022725586915828601581928846406832647140713213412972560388273435913354825020269804179567389258302952816571951767850729470019943509198962901636317127079048672154194757813927156712061047480537423401561169181502608849918756259807537954897860489799827919937803308951807350427403726567386072967654288550039048143440833527086037282769867585393432600609130734162896357804936207111833017729787518333244179135975598459155683315289889157734983114664681307726661131436952939750207474154072456470021507754643894837203633441921761271200188300569745026252827547435164443045387201704303317774658671565647054578411915364923162680590893528688204531937091292814593746850953318523942693132358214922782555397716763283502224412671580034555643953019433211008385751804299118109985228306162148864284128139613290321591004278014388696940029822848219655347500300218667446858828356765403457871507536053768418035336660618157783557666383626862968246565984501797055511375382544875437257671453755397929875082173247086486868392925624895446117798116478183736325969497762195183578713377262557623642652090077448104346426260915633748757138362532346913627778725243250888543906687843769576071487090476272762114578618279412204933209930135576850606269910249335731057473355674524486306393975214077805119404813677440921877068024510271068879678887082744928704488178758422876547015668041068709981596378677398901646898837328911511861375495793729801492513486103841104132189626871642611744917600144968184377680617383507765235497784391821953625189188861282246309774635972136825431837804918160672666924795648332128881690331206824118343537732916078453801045958333416855871118145077368219757373502383086181349111347554410186618121342714530016752299515213916698236205254327657633668302760749342437886110481935910815375876587866067936710774238425358304178199001370768669119805285678139748009395095241474877267285873568037850928229733254495527051725337260568624567264654720644762645769839549733821047902627012827175186744263847805918550993368181701106209711457196493885248827613459724862500952533522786307959275897732185704413165789337528472446872213917190878346001647537141972796534113127223757584893855056017404704759661515584810854249931809756233227057991318088696852793221122540429621913119954840727025706769763}
19132   9957037417386878772364265175862969535525209593926551110907218937573523: {210331,535388,764840,860445,917808,1011187,1032534,1125307,1641482,1922131,2326418,2489131,3010058,3130268,3279907,3587228,4403467,4500284,4962547,5519827,5731658,5957522,6739507,7173704,7180867,7291027,7384028,7511131,7840747,7983818,8060131,8070417,8086952,8607331,9097821,9652508,10221578,10593285,10993627,11299504,11311484,12307245,12666482,12711942,13127728,13238947,13554344,13717628,13980331,13992722,14768694,15033331,15248637,15766147,15965948,16079131,16410698,16428741,17117731,17187752,17228337,17311484,17840467,18354547,19336221,19526001,19558025,19682731,20292284,20329802,20509925,20696131,20860845,21223797,21401227,21410162,21587397,21902707,22002787,22251568,22486922,22701842,23297901,23469630,24611910,24843122,24887228,25023057,25033014,25034272,25266425,25329224,25482698,25655131,26252704,26818507,26970002,27132104,27300187,27378365,27396307,27530997,27605258,28163556,28258147,28405041,28423484,28495377,28993153,29534292,29744828,30133322,30167061,30319710,30343058,30443765,30523617,30624284,31368331,31375085,31540893,31985421,32015762,32341024,32756131,32854038,33056522,33471818,33489667,33547484,33712593,33815525,33854707,34130588,34320584,34593853,34852627,34858748,34953477,35752267,35931331,36157202,36383652,36532518,36555787,36568178,36603068,37315085,37388402,37650102,37882027,38610657,38614418,38794664,38825765,38844307,39111950,39225482,40222268,40224957,40241042,40578630,40742731,40998907,41418790,41454962,41818317,42059978,42121761,42690187,42973845,43065458,43283872,43520757,43534268,43643997,44352667,44517331,44564253,44666738,44778102,44821550,44968988,45107645,45108357,45662858,45838768,46060298,46457162,46590918,46792387,46934340,47034665,47112787,47192707,47591227,47828828,48232849,48683157,48694356,48932731,49022738,49293365,49419790,49702548,49965308,50063296,50273165,50394122,50469245,50829545,51096907,51174602,51429093,51568614,51629131,51669308,51810425,51952778,52533307,52562645,52608187,52981507,53014952,53119121,53130331,53510108,53700425,53785860,53827501,53888138,54090667,54129174,54237331,54245254,54465938,54602731,55302485,55426058,55627388,55688131,55909148,56321208,56441598,56615707,56757331,56764178,57320947,57371584,57428552,57737468,58095242,58296187,58641067,58652997,58984147,59152038,59169700,59230538,59267661,59281565,59303748,59366517,59641821,59859645,59984585,60120188,60213461,60327798,60539131,60539708,60548498,60563094,60677573,60736202,60923762,60995454,61071067,61288357,61377884,61401187,62046098,62172510,62544433,62772284,63075174,63152731,63280387,63348938,63361359,63661627,63850288,64024508,64068513,64291267,64440510,64541107,64543032,64607121,64644722,64727731,64896657,64913707,65467747,65773027,65841629,66317344,66362982,66382748,66455465,66678067,66955229,67272427,67627484,67995245,68034331,68179868,68308082,68375373,68736544,68869628,68904070,69180454,69634027,70118162,70412707,70599700,70649537,70674425,71003640,71017802,71123131,71137878,71197298,71203685,71393131,71554267,71565329,71831574,71981502,72306428,72610911,72628082,72716131,72806282,73078507,73128284,73335187,73590067,73742131,73994131,74492731,74580362,74607012,74616997,74632028,74837467,75130147,75177884,75737216,75808424,75989258,75995708,76321747,76375221,76647331,76896430,77039882,77220284,77257925,77328612,77333131,77493220,78090787,78442268,78656131,78870331,78997987,79003550,79120613,79212957,79324557,79418827,79471178,79709131,79746558,79816202,79879095,79898182,79988498,79995907,80185145,80319331,80373622,80913331,80991307,81361682,81415027,81594294,81941707,82052731,82067381,82236331,82385522,82490347,82684884,82715765,82766108,83022787,83057707,83271921,83402947,83794641,83874187,84110588,84202147,84234547,84687950,84719640,84754322,84774331,84809310,84836467,84990547,85021147,85204368,85284477,85389821,85444422,85530331,85676131,85696593,85877227,86019230,86046787,86311414,86513131,86593267,86701101,86958667,87035131,87056673,87059144,87190748,87235867,87576067,87810427,87831814,87833467,88089362,88254602,88504017,88524668,88573987,88795747,89051837,89078642,89176627,89243018,89349190,89547133,89758027,89836507,90062738,90201907,90367616,90374131,90461827,90463264,90522307,90552842,90703747,90756667,90827731,90950347,90968131,91011331,91092694,91130131,91144747,91151947,91182908,91186867,91204298,91219987,91232731,91366802,91376587,91380907,91427131,91433827,91457731,91484947,91712753,91977884,92110268,92275716,92709510,92771708,92983922,92991864,93307245,93744953,93838549,94059470,94092188,94601309,94804260,94968285,95309595,95540765,95854914,96222174,96978557,97117148,97278218,97941537,98034428,98374418,98530442,98829220,98890144,99211484,99258918,99527728,99755525,99854277,...,5335560931895735312049554803262838762081316615830466303022962681922286904326669137425480072685792638416394436664014733598857107658700754000923974059874998219147820458244285382121205322973763788178768899068446656020657060533147582059338740219461279583632781728752312999291330354334002495524853922075012434128265712396365292051834205420622736759494929655349616427417654721164721701908844293057105431481610696720343156524975795573456179175694647130652878942023945741092561219189763514424188368981253163434705012522644294274131090897761790028747418536076284015476202256422440220211088717831288148744117635876697672475045302939847225252366643402589826793205483544854842066303025747028189283492182820306559988762526377150888747986057024669152908114554219603327784889114764056520281055803618696967449221104802109238461875776862854284284550630080517697914551139766693693072239423185677737270422095935690467639293359924678931950535515089502772064896205593010418569542282748063307383231202081558908670145133225008346410050606530480653066437226583737745269076467236538302089848097290205718066718730857921111369448049710359823447191243467478840978883861810406581609482444023639716691110992238847967464612207577753719852210313310819552908410302214841915937253000276632205429941960028677006191859782938177922562348361600251067426326701670436729913552590727182935605737757032878228754196072771215887153230883574121191371584272709249455057086124995801271091365256924176477619897043407196955684378002965883562106712740858604025910948011181002405732157479980304408216198485712170852817720428788005704019184929253373097130959540463333733624889929145104475687204610495343381405024557380448880824210378076888511502483957662087979335729407348500510059833916343561938340530573166776230996115315824523900833193928157064155304244981767959330349593578104951169683410164856869453436597472461901681220844998342851150043129218170371633657667851391875583791692768095316120635030349486104824372549606577613240180769134141693213665780974743297807566032648408525300285437073492539751569921229169424032680361425172905182776993238272650905011230502062687557388091613308795171569865202195865116438548682481833994391639735323351314805121472176252835828856815659890133526624245836907489844677020313997045855762604833585585148376328413032847962849100575783739890880896889233060864442838508920441609098824458050310554771271734727944444555807828157526769824293009831336510781575132148463405880248824161790286040022336399353618555597648273672436876844891070347665789917181480642581214420501168783821423915614365651233811072237598668494358225493073714237519664012526793655299836356381164757383801237639644339327369402300449680758166089686206294193016861026452732978428063870169350436233582325685130407891401324490908934808279615276261991846998436817946299816667936711363715077279034530309580939217554385783371296595829618556254504461335530049522630395378817502965010113191806741356539606346215354113081138999909079674977636077321757451595803724294830053906162550826606454302700942359684}
19133   9996558580879459739295843354656710367322880827142546120804717104867912: {669235,803082,956050,1147260,1223744,1376712,1548801,2462223,3489627,3912835,4484035,4515087,4695402,5380842,5625355,6276991,6750426,7076083,8597487,8605531,8936283,8967130,9024367,9230035,9409891,9887066,10097023,10108690,10169107,10760556,11076042,11117227,11486762,11653603,11860051,11975727,12000691,12065635,12130428,12727027,13603327,13942363,14124380,14139355,14478762,14857867,14878831,15039283,15236131,15332367,15384122,16231123,16409660,16942930,16949256,16967226,17146627,17147035,17209258,17982067,18355922,18999723,19067913,19470122,19691592,19721482,19957435,20331516,20540923,20576442,20989083,21484690,21639355,21904988,22018867,22153041,22163071,22477418,22796587,22971116,23628187,23740591,23948922,24616047,25365355,25451386,25566691,25781628,25852207,25967226,26034668,26447083,26587762,27814460,28298396,28783196,29281387,30011887,30030511,30438426,30494703,31063868,31096747,31109035,31158746,31292840,31661530,31963123,32024731,32080786,32115243,32815880,33186842,33291763,33364076,33377352,33730383,33915130,33945331,33993487,34052763,34577371,34579327,34761562,35204445,35529355,36485947,36650618,36707996,36917865,36988891,37181035,37262698,37264683,37330842,37549521,37551408,37873388,37993836,38224047,38280355,39379056,40108922,40222748,40288627,40426280,40455003,40698156,40795147,41407887,41557771,41887231,41934355,42054524,42245334,42418003,42611803,42635226,42647228,42663235,42900730,43385323,43573435,43805384,43892431,44157907,44160218,44202091,44301438,44617242,44756602,44950124,45199983,45479565,45514587,45753835,45936426,46359247,46388083,46604636,47596531,47635507,48023643,48281647,48493330,48511536,48710024,49281057,49584783,50200136,50207727,50249983,50277835,50321226,50601571,51195882,51480876,52288122,52456867,53633276,53705482,53871506,54104840,54235803,54417835,54559087,54575478,54798777,54852267,54904602,55757756,55869002,56082603,56162348,56211235,56475153,56755987,57183727,57298460,57921627,58027676,58191996,58388923,58645807,58667925,58838223,59419004,59492131,59704136,59783923,59786035,60118831,60144476,60333402,60361563,60620282,60867945,61569547,61583107,62121224,62128185,62174842,62182443,62456635,62579120,63089967,63359731,63996211,64586635,64598187,64687627,64910876,64925808,65233603,65290642,65301402,65844607,66268690,66270064,66332371,66887635,67000107,67167153,67232325,67453482,67515163,68427787,68494287,68572124,68590106,68758152,68818867,69090447,69534235,69685743,69886377,69886435,70401510,70806331,71032303,71530867,71714480,71743242,71785690,72069547,72078427,72112282,72171835,72172232,72716827,73001842,73041534,73534107,73962125,74129685,74401226,74553822,74947962,75094944,75150235,75255464,75591183,75674635,76176751,76722355,76761903,76927147,77352921,77487163,77503962,77929167,78139567,78203996,78369658,78465355,78869384,79023548,79071664,79155356,79522428,79557187,79812860,80030635,80265162,80437064,80678790,80750792,80832207,81193761,81327272,81367881,81698907,81837307,82293331,82394971,82734802,82896680,82978435,83111167,83139087,83441082,83863722,83972563,84100232,84105466,84189787,84481812,84534355,84662397,84685003,85146267,85224835,85424684,85694803,85920680,86057376,86087035,86142828,86265691,86528876,86555647,86604331,86606202,87086762,87142863,87929707,88175983,88249625,88483976,88614031,88637066,88712851,88728057,88754550,88845807,88955622,90180282,90383035,90491697,90809562,90822747,90844641,91022767,91104303,91167164,91385643,91410355,91493181,91716847,92066826,92071978,93069147,93258765,93290035,93522922,93972355,94158426,94612761,94629931,94671520,94722667,94760530,94812442,94850504,94994635,95023407,95445391,95775432,95975336,96036762,96103171,96373466,96525355,96660765,96814548,96866525,96967083,97582147,97886906,98052835,98145106,99308083,99476016,99544473,99574122,...,8003341397843602968074332204894258143121974923745699454534444022883430356490003706138220109028688957624591654996022100398285661488051131001385961089812497328721730687366428073181807984460645682268153348602669984030985590799721373089008110329191919375449172593128469498936995531501003743287280883112518651192398568594547938077751308130934105139242394483024424641126482081747082552863266439585658147222416045080514734787463693360184268763541970695979318413035918611638841828784645271636282553471879745152057518783966441411196636346642685043121127804114426023214303384633660330316633076746932223116176453815046508712567954409770837878549965103884740189808225317282263099454538620542283925238274230459839983143789565726333121979085537003729362171831329404991677333672146084780421583705428045451173831657203163857692813665294281426426825945120776546871826709650040539608359134778516605905633143903535701458940039887018397925803272634254158097344308389515627854313424122094961074846803122338363005217699837512519615075909795720979599655839875606617903614700854807453134772145935308577100078096286881667054172074565539735170786865201218261468325792715609872414223666035459575036666488358271951196918311366630579778315469966229329362615453322262873905879500414948308144912940043015509287789674407266883843522542400376601139490052505655094870328886090774403408606635549317343131294109156823830729846325361181787057376409063874182585629187493701906637047885386264716429845565110795433526567004448825343160069111287906038866422016771503608598236219970456612324297728568256279226580643182008556028777393880059645696439310695000600437334893717656713530806915743015072107536836070673321236315567115332767253725936493131969003594111022750765089750874515342907510795859750164346494172973736785851249790892235596232956367472651938995524390367157426754525115247285304180154896208692852521831267497514276725064693827255557450486501777087813375687539152142974180952545524229157236558824409866419860271153701212539820498671462114946711349048972612787950428155610238809627354881843754136049020542137759357774165489857408976357516845753094031336082137419963192757354797803293797674657823023722750991587459602985026972207682208264379253743285223489835200289936368755361234767015530470995568783643907250378377722564492619549271944273650863675609836321345333849591296664257763380662413648236687075465832156907602091916666833711742236290154736439514747004766172362698222695108820373236242685429060033504599030427833396472410508655315267336605521498684875772220963871821630751753175732135873421548476850716608356398002741537338239610571356279496018790190482949754534571747136075701856459466508991054103450674521137249134529309441289525291539679099467642095805254025654350373488527695611837101986736363402212419422914392987770497655226919449725001905067045572615918551795464371408826331578675056944893744427834381756692003295074283945593068226254447515169787710112034809409519323031169621708499863619512466454115982636177393705586442245080859243826239909681454051413539526}
19134  10036235484626078835203712547980515207947472249846152473876521233080403: {248573,420662,897089,1011293,1070776,1163453,1204623,1434075,1529680,1581233,1720890,1835616,1846589,1960193,2022374,2065068,2250614,3282964,3844262,4217153,4652836,4978262,6020116,6223793,6260536,6334589,6519089,6559814,7043103,7174456,7878173,8071263,8097533,8280113,8644673,8806934,9000568,9925094,10058813,10125639,10167089,10994813,11039654,11353373,11424989,11463316,11675393,11854013,11915044,12068093,12424253,12495389,12602033,12744113,12921533,13450695,13479014,13487933,14347408,14361734,14582054,14768056,14830599,15022262,15034973,15069953,15139889,15163035,15681494,15967636,16011389,16080893,16115633,16120262,16140834,16173904,16601153,16614063,17214662,17230143,17326493,17655475,17979713,18195642,18356573,19305016,19617089,19684913,19718813,20443156,20512075,20732093,20900273,21186570,21718143,21738173,21905153,21987254,22038593,22599008,22622968,22902833,23076183,23134589,23299889,23629889,24385853,24614490,25267889,25332964,25414395,25423884,25450839,25658033,25690493,25813887,26255456,26477894,26628353,27108688,27303293,27381235,27435256,27533883,27783233,27960662,27985444,28642589,28713895,28959389,29054273,29117489,29205183,29537388,29582223,30066662,30155933,30281213,30375089,30497274,30864663,30936833,31216733,31532294,31931896,32158262,32227035,32391389,32543335,32821396,32857482,33218993,33524033,33716127,34222589,34235462,34375504,34434353,34456674,34524989,34622968,34675889,34768075,35372995,35487293,35577089,35680934,35923383,35965373,35978995,36382013,36560093,36709094,37298993,37357889,37446173,38003633,38177079,38329711,38672442,38829835,38877953,38950839,39052002,39116050,39365462,39399089,39745073,39881643,40061213,40584568,40659604,40747613,41019850,41202653,41259389,41392262,41627393,41705095,41721690,42022193,42447594,42621271,42802454,42820324,43174794,43641089,43779389,43805414,43925119,44005574,44138033,44193089,44467889,44503136,44550173,44973844,45096893,45403684,45657639,45748733,45884995,46180733,46557053,46595802,46738119,46939260,47118593,47304989,47341735,47492295,48121179,48703553,48886589,49199453,49223820,49277489,49686244,49774456,49780263,50046114,50066028,50068544,50278435,50516273,50532850,50658448,50872695,50965396,51255773,51310262,51660893,51711389,52142343,52241119,52505408,52568155,52639793,52789313,52839089,53013053,53161853,53309035,53581889,53637014,53940004,54264208,54268673,54317489,54356071,54600374,54609713,54756730,54792614,54975927,55045889,55061994,55118333,55210516,55719233,55838813,55894047,55996263,56005889,56187655,56196353,56327112,56362589,56516294,56788253,56810082,56846968,56990754,57000113,57491933,57817853,57986306,58255795,58303793,58510973,58809089,58991873,59068584,59489656,59491889,59604989,59943089,60163383,60266644,60334122,60569393,60639420,60680573,60686116,60835889,60887530,61047234,61101233,61167389,61248568,61343453,62475389,62736662,62750170,62777143,62840753,63081786,63150703,63182513,63368001,63606833,63952839,63970842,64031524,64174589,64351095,64445873,64682048,64798589,65046173,65354033,65512262,65660093,65708076,65848531,65923889,65984573,66113044,66240327,66452157,66687233,66766913,66826589,66925863,66943636,66979334,67041595,67094968,67134903,67425186,67576253,67631050,67709414,67816111,67868993,68063153,68159933,68261176,68641168,68679089,68736413,68904639,68926973,69010711,69097793,69187706,69697195,69705254,69717496,69906954,70090589,70202935,70275389,70382431,70656943,71133233,71161363,71367389,71504534,71572831,71582333,71623075,71709859,71862662,72167489,72202673,72314404,72534595,72691889,72726593,72739995,72743933,72767304,72985853,73065036,73111574,73136356,73206136,73345793,73587703,74271773,74273755,74470589,74503613,74520113,74630170,74776804,74995133,75043889,75157373,75180595,75300204,75447389,75481839,75639293,75764054,76161089,76239389,76442033,76519613,76704989,76793823,76858589,77221314,77228836,77389889,77423479,77494973,77589328,77651530,77659313,77688614,77837489,78223900,78432183,78450964,78711089,78853889,79128907,79444913,79514333,79721393,79735133,79858433,80264753,80304989,80444536,80449914,80482084,80558223,80807259,80925953,81133313,81138595,81157260,81197693,81485462,81630173,81863217,81997814,82004093,82249373,82356903,82431233,82611293,82765889,82837580,82909924,82942589,82994191,83082653,83313533,83495933,83636634,83653853,83803503,83821313,83978419,84052733,84119956,84183389,84243522,84259073,84323633,84451889,84577207,84788273,84819389,84891713,85075889,85380374,85573889,85715155,85891613,85947690,85957889,85976753,86098589,86130916,86145089,86419889,86482973,86536733,86567744,86616833,86904989,86973533,87041514,87068536,87075389,87159389,87287994,87324989,87406589,87422813,87447089,87591233,87685889,87825713,87993089,88008113,88127153,88193213,88464989,88485953,88657853,88671389,88691633,88705334,88870589,88954673,89034662,89124989,89128506,89333476,89337089,89511089,89550653,89556204,89643100,89742593,89774513,89853053,89889089,89914589,89937976,90053693,90077873,90215290,90216714,90218753,90264113,90273089,90317489,90433373,90445889,90466589,90500103,90681089,90735389,90742493,90787889,90930423,90943793,90970973,90985793,91029053,91031873,91037489,91065089,91112753,91135613,91172273,91207133,91250813,91252913,91277489,91325716,91333889,91362653,91394993,91411889,91443389,91446833,91467953,91477313,91496513,91503773,91510589,91518653,91521713,91524353,91525373,91526333,91527089,91677536,91722367,92120596,92914324,93037651,93181836,93262263,93506179,93584774,93868680,94069330,94225574,94385414,95182454,95193343,95657656,96465698,96988723,97366314,97388712,97754995,97865462,97935963,97952103,98045476,98586730,98779435,98839580,98944195,99216007,99403035,99405096,99685159,99766075,99930616,...,12005012096765404452111498307341387214682962385618549181801666034325145534735005559207330163543033436436887482494033150597428492232076696502078941634718745993082596031049642109772711976690968523402230022904004976046478386199582059633512165493787879063173758889692704248405493297251505614930921324668777976788597852891821907116626962196401157708863591724536636961689723122620623829294899659378487220833624067620772102181195540040276403145312956043968977619553877917458262743176967907454423830207819617728086278175949662116794954519964027564681691706171639034821455076950490495474949615120398334674264680722569763068851931614656256817824947655827110284712337975923394649181807930813425887857411345689759974715684348589499682968628305505594043257746994107487516000508219127170632375558142068176760747485804745786539220497941422139640238917681164820307740064475060809412538702167774908858449715855303552188410059830527596888704908951381237146016462584273441781470136183142441612270204683507544507826549756268779422613864693581469399483759813409926855422051282211179702158218902962865650117144430322500581258111848309602756180297801827392202488689073414808621335499053189362554999732537407926795377467049945869667473204949343994043923179983394310858819250622422462217369410064523263931684511610900325765283813600564901709235078758482642305493329136161605112909953323976014696941163735235746094769488041772680586064613595811273878443781240552859955571828079397074644768347666193150289850506673238014740103666931859058299633025157255412897354329955684918486446592852384418839870964773012834043166090820089468544658966042500900656002340576485070296210373614522608161305254106009981854473350672999150880588904739697953505391166534126147634626311773014361266193789625246519741259460605178776874686338353394349434551208977908493286585550736140131787672870927956270232344313039278782746901246271415087597040740883336175729752665631720063531308728214461271428818286343735854838236614799629790406730551818809730748007193172420067023573458919181925642233415358214441032322765631204073530813206639036661248234786113464536275268629641047004123206129944789136032196704940696511986734535584126487381189404477540458311523312396568880614927835234752800434904553133041852150523295706493353175465860875567566583846738929323907916410476295513414754482018000774386944996386645070993620472355030613198748235361403137875000250567613354435232104659272120507149258544047334042663230559854364028143590050256898545641750094708615762982972901004908282248027313658331445807732446127629763598203810132322715276074912534597004112306007359415857034419244028185285724424631801857620704113552784689199763486581155176011781705873701793964161934287937309518649201463143707881038481525560232791543417755652980104545103318629134371589481655746482840379174587502857600568358923877827693196557113239497368012585417340616641751572635038004942611425918389602339381671272754681565168052214114278984546754432562749795429268699681173973954266090558379663367621288865739359864522181077120309289}
19135  10076068737939805907486083690708108037145968035907522406704438215647458: {630993,936929,1338470,1606164,1912100,2294520,2447488,2581335,2753424,3033561,3097602,3375921,4103705,4924446,5477969,5766393,5816045,6277649,6979254,7467393,7525145,7768409,7825670,7875497,8968070,9025313,9030174,9390804,9839721,10058849,10170173,10516937,10665161,10761684,11250710,12001949,12553982,12922049,13138541,13210401,13412537,13500852,13604753,14152166,14329145,14887641,14893805,15297953,15582641,16559481,16891889,17028617,17194974,17211062,17584073,17872566,17934260,18048734,18329153,18460070,18819782,18859241,19774132,19795097,19959545,20194046,20217380,20218521,20338214,20461037,21521112,21542601,21699089,21873081,22152084,22234454,22533393,22973524,23307206,23522241,23720102,23951454,24001382,24005849,24131270,24180393,24211251,24260856,25454054,25553945,25821993,26728553,26941421,27206654,27293463,27884726,27924221,27940409,28248760,28278710,28574537,28957524,29715734,29757662,30078566,30295097,30472262,30664734,30768244,31300793,31514153,31666205,31779855,32462246,32819320,32980881,33129689,33586913,33885860,33898512,33934452,34293254,34294070,34418516,34981805,35223677,35511497,35964134,36711844,36750701,36921735,37208441,37999446,38135826,38645297,38940244,39383184,39442964,39539849,39716841,39914870,40174121,40663032,41026745,41081846,41152884,41940993,41978166,42966509,42969380,43067153,43278710,43552649,43809976,43897073,44037734,44306082,44326142,44847377,44954836,45032321,45099993,45593174,45745911,45942232,47177849,47256374,47298441,47481182,47897844,48237393,49232094,49286223,49402337,49741097,49918313,50730710,50824505,50902772,51133382,51353193,51563256,51685011,51704414,51872873,51934452,52053449,52069336,52894166,53175524,53472317,53521401,53525405,53592497,54788201,55063641,55628920,56217305,56554697,56596792,56754605,57566392,58008663,58562774,58578003,58674075,58708097,59048193,59728529,60023774,60061022,60656681,60670193,60876852,60989406,61002809,61529775,62088393,62107805,62127736,62193494,62218070,62317492,62582535,62585680,62596637,63323060,63671391,63706745,63926246,64002977,64049462,64055369,64161572,64203681,64230486,64478921,64587161,64762191,65631760,65708121,66008361,66373684,66583526,66728152,66754704,67425005,67460766,67830260,67843121,67890662,67986974,68105526,68194589,68425313,69013145,69154742,69158654,69308681,69523124,69643409,69893703,69899657,70388969,70408890,70580417,70747373,70813817,71058710,71525177,72971894,73301236,73415992,73545821,73835730,73977782,74362070,74525396,74529366,74661684,75069171,75099042,75102816,75142577,75333305,75722009,75746776,75799275,75857645,75987672,76184969,76448094,76560710,76965393,77049353,78695729,78758112,80039405,80217844,80445496,80455521,80577254,80852560,80910006,81396312,81590294,81900561,82135095,82188921,82592991,82641305,82815774,83115542,83679545,83700449,83774462,83868710,83981441,84109048,84490668,84611453,84774441,84836006,85173101,85215123,85223606,85270452,85294456,85295489,85326470,85486131,85801460,86564801,86770646,86979459,87146870,87439289,87610768,87784862,88315814,88320436,88404182,88602876,89025233,89234484,89513204,89900248,90393005,90399966,90421289,90501183,90913901,90959130,91029174,91331295,91420445,91507670,91570851,91872852,92088497,92215049,92218961,92346761,92718494,92776166,93209272,93471005,93642689,94104993,94125255,94622679,95040473,95193062,95271014,95956263,96047286,96536045,96563294,96986660,97023072,97229417,97347929,97420048,97506137,97779875,97841009,98063705,98268393,98562114,99149657,99169566,99497021,99838409,...,16006682795687205936148664409788516286243949847491398909068888045766860712980007412276440218057377915249183309992044200796571322976102262002771922179624994657443461374732856146363615968921291364536306697205339968061971181599442746178016220658383838750898345186256938997873991063002007486574561766225037302384797137189095876155502616261868210278484788966048849282252964163494165105726532879171316294444832090161029469574927386720368537527083941391958636826071837223277683657569290543272565106943759490304115037567932882822393272693285370086242255608228852046428606769267320660633266153493864446232352907630093017425135908819541675757099930207769480379616450634564526198909077241084567850476548460919679966287579131452666243958171074007458724343662658809983354667344292169560843167410856090902347663314406327715385627330588562852853651890241553093743653419300081079216718269557033211811266287807071402917880079774036795851606545268508316194688616779031255708626848244189922149693606244676726010435399675025039230151819591441959199311679751213235807229401709614906269544291870617154200156192573763334108344149131079470341573730402436522936651585431219744828447332070919150073332976716543902393836622733261159556630939932458658725230906644525747811759000829896616289825880086031018575579348814533767687045084800753202278980105011310189740657772181548806817213271098634686262588218313647661459692650722363574114752818127748365171258374987403813274095770772529432859691130221590867053134008897650686320138222575812077732844033543007217196472439940913224648595457136512558453161286364017112057554787760119291392878621390001200874669787435313427061613831486030144215073672141346642472631134230665534507451872986263938007188222045501530179501749030685815021591719500328692988345947473571702499581784471192465912734945303877991048780734314853509050230494570608360309792417385705043662534995028553450129387654511114900973003554175626751375078304285948361905091048458314473117648819732839720542307402425079640997342924229893422698097945225575900856311220477619254709763687508272098041084275518715548330979714817952715033691506188062672164274839926385514709595606587595349315646047445501983174919205970053944415364416528758507486570446979670400579872737510722469534031060941991137567287814500756755445128985239098543888547301727351219672642690667699182593328515526761324827296473374150931664313815204183833333667423484472580309472879029494009532344725396445390217640746472485370858120067009198060855666792944821017310630534673211042997369751544441927743643261503506351464271746843096953701433216712796005483074676479221142712558992037580380965899509069143494272151403712918933017982108206901349042274498269058618882579050583079358198935284191610508051308700746977055391223674203973472726804424838845828785975540995310453838899450003810134091145231837103590928742817652663157350113889787488855668763513384006590148567891186136452508895030339575420224069618819038646062339243416999727239024932908231965272354787411172884490161718487652479819362908102827079052}
19136  10116058952500423737108839933456304717325634380140785836208877065719622: {497146,841324,1277623,1794178,2007705,2022586,2141552,2326906,2390125,2409246,2414143,2868150,2979703,3059360,3092599,3162466,3441780,3671232,3693178,3920386,4044748,4130136,4217599,4501228,4646403,5223943,6556663,6565928,7108903,7386669,7688524,8434306,8536303,9299863,9305672,9956524,10468881,11354599,11462023,11738505,11890999,12040232,12447586,12521072,12669178,13038178,13064743,13119628,13452105,13545261,13595383,13912903,14086206,14124223,14348912,15071599,15176503,15756346,16117399,16142526,16195066,16533703,16560226,16741423,16876065,17052463,17289346,17569423,17613868,18001136,18290143,18802783,18830973,19619263,19720999,19850188,20117626,20228599,20251278,20334178,21228249,21740599,21989626,22079308,22417825,22706746,22849978,22926632,23137183,23350786,23708026,23830088,24136186,24717665,24814063,24848506,24990778,25204066,25205599,25271725,25303303,25488226,25693399,25792461,25816593,25843066,26808849,26901390,26958028,26975866,27073101,27530623,27690105,28009783,28229673,28487143,28694816,28716905,28723468,29152423,29164108,29530999,29536112,29661198,30044524,30069946,30139906,30279778,30291069,30326070,30378583,30472399,30507321,30566143,30846943,31362988,31935272,32022778,32161786,32231266,32240524,32281668,32347808,32425903,33202306,33228126,33253399,33351681,34256863,34429324,34460286,34652986,34710103,34960809,35310950,35521399,35580153,35611183,35927181,35959426,36002073,36196905,36391284,36415999,36713146,38181081,38333729,38460305,38610032,38620999,39234178,39369826,39437626,39836143,40008583,40199453,40695463,40809981,40886312,41024150,41464186,41632399,41800546,41827089,42357325,42373140,42418065,43023145,43230223,43436286,43476346,43810306,43812343,43974508,44077186,44143399,44225983,44573601,44636493,44637823,45117849,45198016,45245936,45293023,45560669,45700183,45708393,45781399,45805666,45889805,45997101,46152366,46269178,46599778,46910863,47259778,47788399,48675305,48693369,48771706,49049263,49228980,49283623,49303705,49439503,49522193,50370593,50522599,50535778,50665928,50828790,50847768,50901678,51211423,51316066,51363703,51380986,51439881,51441105,51627774,51743143,52421599,52496623,52510912,52955788,53256706,53711725,53946201,54202303,54217376,54348823,54361769,54606586,54762470,54870512,54932023,55067766,55077103,55566466,55921324,55970888,56193545,56440999,56999169,57077983,57203739,57218743,57285178,57427790,57918778,58108546,58234978,58387133,58410366,58541599,58816783,59074776,59159143,59164446,59635423,59872305,59905999,60133324,60311866,60562426,60750178,60994548,61622769,61729326,61873666,62224399,62433466,62967249,63064588,63628465,63863792,64204183,64238993,64316524,64392103,64454070,64782778,64918065,65075599,65086670,65642792,65689399,65714964,65932903,66056601,66278429,66437986,66459123,66469405,66489213,66895399,67048066,67428703,67432254,68130703,68389761,68445178,68470924,68707783,68751008,68868706,68913348,68936599,69049978,69245936,69351778,69536150,70389809,70561063,70615999,70745990,70884561,70974586,71154178,71221773,71361868,71646103,71846766,71930746,71957990,72754399,72764026,73120186,73418188,73595417,73729783,73848141,74191169,74232703,74282599,74530999,74580463,74597986,74632649,74715778,74892346,75022399,75554623,75794477,75983599,76007266,76096065,76266343,76354158,76659422,76700073,76870063,77344884,77551543,77556621,77641183,77659670,77755906,77864023,77896865,77901678,78104004,78232100,78478399,78662717,78730924,78798178,79078663,79120999,79153825,79331599,79341249,79490146,79747399,79763286,79952599,80122426,80146313,80201965,80317423,80397703,80517583,81107263,81169136,81319208,81338599,81376903,81491383,81495226,81558113,82039700,82405306,82420183,82456399,82518778,82784524,82850023,82967105,83200303,83254786,83338399,83410190,83443380,83678599,83845999,84044386,84337399,84586073,84787825,84895188,85089943,85150783,85242542,85597903,85604908,85640648,85829743,86000599,86349588,86389183,86443543,86815999,86903905,86919823,87098743,87282178,87470263,87558778,87610828,87825583,87844161,87850238,87940423,88011148,88053463,88252399,88276066,88386178,88693903,88935778,88970599,89006272,89100346,89141023,89251399,89359183,89617303,89764399,89859223,89947688,90035661,90091533,90193786,90487783,90653599,90752743,90805303,90807368,90856063,90924103,90961399,91049599,91090999,91270999,91295623,91315278,91352143,91401463,91461943,91484109,91484623,91497466,91498663,91517383,91519399,91529983,91626545,91769990,92361466,93114106,93156745,93191604,93290241,93327105,93476238,93515981,93858233,93878520,94237186,94609978,94621153,94683470,94984590,95889369,96074193,96242358,96345729,97407106,97576073,97773178,98284109,98398906,98447640,98554978,99372488,99548912,99560526,99875289,99954881,...,24010024193530808904222996614682774429365924771237098363603332068650291069470011118414660327086066872873774964988066301194856984464153393004157883269437491986165192062099284219545423953381937046804460045808009952092956772399164119267024330987575758126347517779385408496810986594503011229861842649337555953577195705783643814233253924392802315417727183449073273923379446245241247658589799318756974441667248135241544204362391080080552806290625912087937955239107755834916525486353935814908847660415639235456172556351899324233589909039928055129363383412343278069642910153900980990949899230240796669348529361445139526137703863229312513635649895311654220569424675951846789298363615861626851775714822691379519949431368697178999365937256611011188086515493988214975032001016438254341264751116284136353521494971609491573078440995882844279280477835362329640615480128950121618825077404335549817716899431710607104376820119661055193777409817902762474292032925168546883562940272366284883224540409367015089015653099512537558845227729387162938798967519626819853710844102564422359404316437805925731300234288860645001162516223696619205512360595603654784404977378146829617242670998106378725109999465074815853590754934099891739334946409898687988087846359966788621717638501244844924434738820129046527863369023221800651530567627201129803418470157516965284610986658272323210225819906647952029393882327470471492189538976083545361172129227191622547756887562481105719911143656158794149289536695332386300579701013346476029480207333863718116599266050314510825794708659911369836972893185704768837679741929546025668086332181640178937089317932085001801312004681152970140592420747229045216322610508212019963708946701345998301761177809479395907010782333068252295269252623546028722532387579250493039482518921210357553749372676706788698869102417955816986573171101472280263575345741855912540464688626078557565493802492542830175194081481766672351459505331263440127062617456428922542857636572687471709676473229599259580813461103637619461496014386344840134047146917838363851284466830716428882064645531262408147061626413278073322496469572226929072550537259282094008246412259889578272064393409881393023973469071168252974762378808955080916623046624793137761229855670469505600869809106266083704301046591412986706350931721751135133167693477858647815832820952591026829508964036001548773889992773290141987240944710061226397496470722806275750000501135226708870464209318544241014298517088094668085326461119708728056287180100513797091283500189417231525965945802009816564496054627316662891615464892255259527196407620264645430552149825069194008224612014718831714068838488056370571448849263603715241408227105569378399526973162310352023563411747403587928323868575874619037298402926287415762076963051120465583086835511305960209090206637258268743178963311492965680758349175005715201136717847755655386393114226478994736025170834681233283503145270076009885222851836779204678763342545509363130336104428228557969093508865125499590858537399362347947908532181116759326735242577731478719729044362154240618578}
19137  10156206742363554728647174167611133430869731969761310003549041196086235: {745719,1051655,1261986,1873858,2676940,2691267,3033879,3212328,3490359,3613869,3824200,4302225,4589040,4743699,4894976,5055935,5162670,5506848,5539767,5626535,5745187,5880579,6067122,6195204,6751842,8142463,8207410,9180847,9610655,9848892,9863843,10535203,10666279,10955938,11119559,11242243,11532786,11632090,12445655,12555298,12651459,13298063,13413943,13958508,14934786,15050290,15239327,15536818,15651340,15750994,16045439,16399535,17936140,17985839,18050626,18060348,18079399,18637223,18671379,18781608,19003767,19557267,19679442,20060803,20117698,20340346,20851327,21033874,21129309,21330322,21523368,21872143,22017335,22501420,23633159,23634519,24003898,24213789,24251923,24292599,24812735,24840339,25107964,25844098,25934019,26277082,26420802,26825074,26861207,27001704,27209506,27599135,27943363,28304332,28658290,28793903,29775282,29787610,30176439,30376917,30501267,30595906,31165282,32984439,33118962,33697535,33783778,34057234,34060119,34274967,34389948,34422124,34584647,34827683,35026179,35168146,35225299,35562039,35745132,35775523,35868520,35904335,36097468,36204279,36330179,36455135,36658306,36920140,37243999,37272759,37306643,37486167,37555655,37639564,37718482,37806099,38232339,38764599,39197183,39203735,39367639,39548264,39590194,39919090,40300655,40352085,40388092,40434760,40437042,40463799,40676428,40922074,43036655,43042224,43085202,43398178,43746162,44167199,44304168,44332687,44468908,44491797,45066786,45104919,45209859,45419667,45489105,45947048,46050503,46614412,47044482,47190803,47421167,47440204,47902908,48002764,48011698,48034167,48242679,48262540,48346899,48360786,48422502,48521712,48974527,49383599,49803459,49842189,50123539,50908108,51107890,51643986,51690429,51878359,51979479,52772963,52966425,53342663,53457106,53458079,53882842,53939139,54413308,54586926,54968135,55069719,55723127,55769452,55848442,55880818,56497520,56557420,57149074,57160063,57437443,57915048,58851267,58960103,59054739,59156439,59431468,59515324,60157132,60590194,60944524,61329468,61536225,61536488,62196279,62601586,62700819,63028306,63332410,63559710,64701239,64924492,65154429,65214519,65638640,65715459,65961762,66115779,66194735,66259378,67173826,67771720,67797024,67868904,68586508,68588140,68708499,68837032,69228549,69403767,69899667,69901655,69963610,70447354,70889667,71022994,71154307,71532739,71545919,71928268,72775427,72895559,73157559,73423688,73501402,73843470,74416882,74720323,74935567,75166655,75803667,75998892,76243185,76271652,76352517,76974099,77071479,77290594,77441661,77689783,77880488,78704227,78766368,78830735,78885928,78964259,79079698,79433682,79456447,79481183,79829740,79885059,80348242,80395655,80514023,80866279,81326064,81909879,81921839,82053490,82143705,82163692,82305768,82305847,82601649,83349699,83585399,83881986,83956332,85588655,85712927,85927767,85933018,85938760,86134306,86141685,86557420,86878167,86950927,87105298,87162819,87352467,87615549,87619952,87794146,88075468,88612164,88652284,88746669,89154127,89189443,89202335,89489647,89694754,89909672,89993903,90064642,90199986,90467799,90843639,91125267,91186348,91491822,91772735,91884464,92593989,92810499,93650199,94355698,94395007,94512748,94596882,94962364,95795688,96474786,96618403,96681105,97174167,97630005,97790125,98413655,98464188,98572446,98804674,99482194,99656979,99836626,...,36015036290296213356334494922024161644048887156855647545404998102975436604205016677621990490629100309310662447482099451792285476696230089506236824904156237979247788093148926329318135930072905570206690068712014928139435158598746178900536496481363637189521276669078112745216479891754516844792763974006333930365793558675465721349880886589203473126590775173609910885069169367861871487884698978135461662500872202862316306543586620120829209435938868131906932858661633752374788229530903722363271490623458853184258834527848986350384863559892082694045075118514917104464365230851471486424848845361195004022794042167709289206555794843968770453474842967481330854137013927770183947545423792440277663572234037069279924147053045768499048905884916516782129773240982322462548001524657381511897126674426204530282242457414237359617661493824266418920716753043494460923220193425182428237616106503324726575349147565910656565230179491582790666114726854143711438049387752820325344410408549427324836810614050522633523479649268806338267841594080744408198451279440229780566266153846633539106474656708888596950351433290967501743774335544928808268540893405482176607466067220244425864006497159568087664999197612223780386132401149837609002419614848031982131769539950182932576457751867267386652108230193569791795053534832700977295851440801694705127705236275447926916479987408484815338729859971928044090823491205707238284308464125318041758193840787433821635331343721658579866715484238191223934305042998579450869551520019714044220311000795577174898899075471766238692062989867054755459339778557153256519612894319038502129498272460268405633976898127502701968007021729455210888631120843567824483915762318029945563420052018997452641766714219093860516173499602378442903878935319043083798581368875739559223778381815536330624059015060183048303653626933725479859756652208420395363018612783868810697032939117836348240703738814245262791122222650008527189257996895160190593926184643383814286454859031207564514709844398889371220191655456429192244021579517260201070720376757545776926700246074643323096968296893612220592439619917109983744704358340393608825805888923141012369618389834367408096590114822089535960203606752379462143568213432621374934569937189706641844783505704258401304713659399125556451569887119480059526397582626702699751540216787971723749231428886540244263446054002323160834989159935212980861417065091839596244706084209413625000751702840063305696313977816361521447775632142002127989691679563092084430770150770695636925250284125847288948918703014724846744081940974994337423197338382889290794611430396968145828224737603791012336918022078247571103257732084555857173273895405572862112340658354067599290459743465528035345117621105381892485802863811928555947604389431123643115444576680698374630253266958940313635309955887403114768444967239448521137523762508572801705076771633483079589671339718492104037756252021849925254717905114014827834277755168807018145013818264044695504156642342836953640263297688249386287806099043521921862798271675138990102863866597218079593566543231360927867}
19138  10196512723969822541778050250256111244341629040923515176365920738153509: {325057,994292,1125661,1682648,1892979,1922737,2036317,2555246,2603137,2810787,3346175,3393661,3588356,3618877,4015410,4045172,4283104,4292797,4516861,4653812,4780250,4818492,4828286,5075761,5736300,5959406,6118720,6185198,6324932,6883560,7293361,7342464,7386356,7744005,7840772,7843261,8089496,8260272,8435198,8719357,9002456,9100683,9292806,9699457,10127763,10447886,11104861,11427457,12311115,12498097,13113326,13131856,14217806,14617777,14773338,14828161,15143197,15377048,16084417,16188637,16433907,16868612,17072606,17226877,17299179,17448135,18463261,18599726,18611344,18832947,18975361,19179697,19564175,19689277,19790977,19913048,20703037,20937762,21207217,21809857,22010161,22402179,22420175,22575435,22709198,22924046,23205937,23305227,23477010,23626491,23781998,24080464,24895172,24980161,25042144,25338356,26076356,26129486,26150017,26239256,26634397,26904210,27075939,27090522,27190766,27405661,27825806,28126775,28172412,28248446,28363261,28697824,29124157,29519163,29974657,30143198,30176547,30353006,30510519,31006237,31379197,31384955,31512692,31550811,31936477,31995483,32234798,32285052,32390132,32859517,33067406,33120452,33226717,33482846,33501361,33752130,33957661,34104926,34578692,34604731,34864861,35138846,35227736,35380415,35943997,36002272,36005847,36580286,37366717,37605566,37661946,37807537,38246557,38766147,38858161,39238526,39415623,39441998,39466237,39631203,39700376,40203667,40235252,40237611,40457198,40502556,40668356,40814259,40842877,41269297,42032317,42456498,42873277,42987435,43027655,43124161,43481198,43790017,43979252,44158616,44203837,44533597,44662923,44681415,44835650,45121835,45413492,45434497,45597361,45699956,45853264,45893859,46003261,46150175,46245937,46274366,46701572,46747923,47049455,47210161,47416052,47660176,48272372,48400861,48558397,48950977,49435330,49628126,49678443,49697012,49981556,50195137,50408132,50411198,50485115,50543450,50580157,50606606,50675667,50845535,50976452,51085851,51386798,51584922,51633186,51648637,51686132,51724417,52628161,52752219,52852477,53150557,53373361,53595517,53617698,53802780,53844427,53916056,53951732,54146202,54331357,54623677,54987459,55061246,55380210,55421617,55586135,56019566,56459346,56577723,56779357,56850097,56974286,57389632,57433810,57446936,57832897,58041661,58268015,58304846,58328216,58870237,59061998,59072224,59300255,59322396,59385291,59552797,59878635,60003455,60089048,60139892,60232403,60279812,60328175,60429361,60559556,60563137,60582138,60629917,60652140,60655563,60757166,60944798,61014642,61132286,61383111,61693886,62725976,63178177,63369661,63496957,63635135,63870544,64045556,64245727,64323572,64462532,64481048,64563336,64627803,64695616,64754077,64816177,64851806,65063857,65097267,65619243,65678017,66043057,66345277,66404612,66456252,66506798,66703362,66976283,67359361,67600179,67770877,68016635,68145427,68352637,68513726,68858648,68920572,68984257,69025187,69305972,69420206,69663361,69711815,69921618,70054717,70566723,70621900,70696775,71042798,71153437,71160306,71222366,71423617,71477437,71854362,71918852,72004146,72017547,72223357,72393810,72541179,72633753,72747517,72782568,72799537,72831998,73006897,73161661,73315777,73418161,73426292,74026417,74076637,74289335,74326657,74394155,74525377,75163261,75196415,76120861,76180655,76215037,76355761,76362162,76661835,76667458,76727857,76912177,76920610,77220064,77241998,77367937,77413117,77465979,77949661,78082177,78468356,78670963,78735037,78739652,78875252,78906397,79034161,79455361,79538737,79672286,79745917,80017166,80185659,80195377,80356657,80398906,80824263,80990257,81068161,81155615,81390926,81619962,81772624,81831361,81880389,82048300,82091677,82093187,82565761,82744861,82928372,83097661,83264798,83340337,83545537,83601092,83654178,83680897,83772663,83821227,83848477,84210817,84275761,84436861,84500797,84714650,84746280,84836130,84847297,85063261,85416683,85602397,85719037,85723611,85733135,85735175,86005597,86046290,86090161,86449117,86460446,86557117,86637361,86872572,86952692,87105217,87206017,87355057,87452977,87525661,87620612,87624686,87645361,87879361,87949016,88038877,88154372,88172797,88286798,88451966,88496257,88702897,89079851,89147202,89272986,89275646,89315761,89351617,89439997,89575291,89910335,89932477,90235698,90266161,90306877,90396032,90491872,90500737,90586046,90644161,90777217,90885291,90890077,90985117,91029937,91047361,91072957,91121338,91205761,91240861,91305661,91400366,91416786,91436161,91482817,91526557,91543261,91554097,91562798,91565437,91611332,91779610,91994202,92304732,92538356,93057167,93199556,93774431,93821726,93902379,94519556,94542459,94998615,95339565,95576798,97350610,97386738,97543412,98098526,98457960,98567246,98607410,98879006,98942643,99044386,99236819,99389067,99787175,99965359,...,48020048387061617808445993229365548858731849542474196727206664137300582138940022236829320654172133745747549929976132602389713968928306786008315766538874983972330384124198568439090847906763874093608920091616019904185913544798328238534048661975151516252695035558770816993621973189006022459723685298675111907154391411567287628466507848785604630835454366898146547846758892490482495317179598637513948883334496270483088408724782160161105612581251824175875910478215511669833050972707871629817695320831278470912345112703798648467179818079856110258726766824686556139285820307801961981899798460481593338697058722890279052275407726458625027271299790623308441138849351903693578596727231723253703551429645382759039898862737394357998731874513222022376173030987976429950064002032876508682529502232568272707042989943218983146156881991765688558560955670724659281230960257900243237650154808671099635433798863421214208753640239322110387554819635805524948584065850337093767125880544732569766449080818734030178031306199025075117690455458774325877597935039253639707421688205128844718808632875611851462600468577721290002325032447393238411024721191207309568809954756293659234485341996212757450219998930149631707181509868199783478669892819797375976175692719933577243435277002489689848869477640258093055726738046443601303061135254402259606836940315033930569221973316544646420451639813295904058787764654940942984379077952167090722344258454383245095513775124962211439822287312317588298579073390664772601159402026692952058960414667727436233198532100629021651589417319822739673945786371409537675359483859092051336172664363280357874178635864170003602624009362305940281184841494458090432645221016424039927417893402691996603522355618958791814021564666136504590538505247092057445064775158500986078965037842420715107498745353413577397738204835911633973146342202944560527150691483711825080929377252157115130987604985085660350388162963533344702919010662526880254125234912857845085715273145374943419352946459198519161626922207275238922992028772689680268094293835676727702568933661432857764129291062524816294123252826556146644992939144453858145101074518564188016492824519779156544128786819762786047946938142336505949524757617910161833246093249586275522459711340939011201739618212532167408602093182825973412701863443502270266335386955717295631665641905182053659017928072003097547779985546580283974481889420122452794992941445612551500001002270453417740928418637088482028597034176189336170652922239417456112574360201027594182567000378834463051931891604019633128992109254633325783230929784510519054392815240529290861104299650138388016449224029437663428137676976112741142897698527207430482816454211138756799053946324620704047126823494807175856647737151749238074596805852574831524153926102240931166173671022611920418180413274516537486357926622985931361516698350011430402273435695511310772786228452957989472050341669362466567006290540152019770445703673558409357526685091018726260672208856457115938187017730250999181717074798724695895817064362233518653470485155462957439458088724308481237156}
19139  10236977516154048797031998323944140167744693900076673765178176634698263: {19139,1242865,1472317,1491438,2103310,2523972,3747716,3832869,4485445,5056465,5353880,5382534,5817265,6023115,6067758,6424656,6980718,7078309,7170375,7227738,7242429,7648400,7877149,7906165,8604450,8608237,8939109,9178080,9232945,9277797,9487398,9789952,9800965,9864877,10111870,10325340,11013696,11079534,11253070,11490374,11657269,11761158,12134244,12375781,12390408,12652797,12731029,13141297,13299457,13454917,13503684,13939209,13946749,14862541,15671829,16047121,16236229,16284926,16414820,17032189,17152021,17181169,17423917,18361694,18863197,19221310,19669989,19697784,19727686,20306077,20465329,20613589,21070406,21085765,21326709,21332558,21911876,22025809,22160007,22239118,22484486,22673041,22959349,22994557,23065572,23264180,24891310,25110596,25302918,25608909,26544397,26596126,26827886,27899589,27917016,27930097,29869572,30021349,30100580,30478654,30824269,31073636,31106581,31118965,31302680,31406643,31501988,31672945,32090878,32181421,32595445,32596261,32799070,34063797,34386069,34590229,34737829,35215515,35231089,35672997,35872280,35971678,36101252,36120696,36158798,36516289,36711277,37274446,37342758,37563216,37723477,38007534,38638789,38653429,39114534,39194229,39358884,39390865,40121606,40235396,40301329,40356315,40487665,40635783,40680692,40786149,41159989,41400565,41702654,41738709,41900437,42067748,42258618,42372669,42660644,43046736,43223365,43600021,43744286,43906357,44034670,44089669,45002840,45041797,45214797,45529509,46781149,47176549,47266318,47269038,47606581,47611537,48007796,48058609,48296869,48352197,48427578,48503846,48585198,49601109,49625470,49680678,49994437,50215928,50224269,50266069,50294065,50628195,50835445,51037189,51157389,51688196,51868038,52278157,52535389,52554164,52577917,52708269,52841604,53483569,53650148,53722414,54003408,54419012,54561877,54870429,54885229,54974065,55198270,55677361,55770949,55803781,55886726,56408349,56420917,56492919,56608664,56766865,57124945,57316580,57587806,58376965,58857789,59162997,59270065,59550564,59575220,59802829,60062161,60251317,60340465,60352878,60685797,60753834,61002534,61191812,62121265,62278789,62330564,62476945,62609809,63010165,63026317,63041329,63684747,63720565,64607665,65221797,65968878,66237924,67253475,67395070,67439665,67567556,67833757,67857397,68114468,68120238,68439877,68460949,68549934,68779896,68844248,69169294,69363841,69411549,69655366,70052358,70336292,70450598,70595269,71006737,71124078,71490264,71551046,71646109,71737040,71808670,72101221,72194936,72408558,72660358,72910270,73316612,73561297,73840280,74152995,74154109,74442189,74487998,74545518,74613286,74972334,75111310,75158389,75174865,75279128,75349765,75379729,75436964,75566977,75612198,75616797,75699445,75815175,75909909,76464678,76955389,77080197,77377383,77449779,77529198,78164581,78394366,78407470,78735278,79096528,79180388,79628701,79838180,80056945,80404465,80426547,80578165,80601310,80704170,80776184,80869520,80874084,80927598,81219303,81352856,81798277,81844148,82591869,83005765,83021461,83070315,84029349,84216781,84318589,84689019,85461429,85721989,86073310,86084448,86149297,86150715,86170404,86583109,86632465,86796356,87457269,87492324,87571621,88277375,88334398,88563661,88592997,88608336,88665374,88937816,88983594,89562469,89898565,89986261,90133572,90209838,90387757,90419718,90634429,90839334,90873207,90978210,91135749,91417197,91521963,91698429,91782865,91894096,92101006,92255581,92540829,92672629,93228824,93321397,93859117,94088964,94381606,94842334,94880408,95805816,95861557,96005528,96023396,96068334,96485358,96525080,96693798,96721572,96845004,97043424,97277709,97862317,97949054,98085445,98424565,98594065,98767198,99606918,99684378,99760197,...,72030072580592426712668989844048323288097774313711295090809996205950873208410033355243980981258200618621324894964198903584570953392460179012473649808312475958495576186297852658636271860145811140413380137424029856278870317197492357801072992962727274379042553338156225490432959783509033689585527948012667860731587117350931442699761773178406946253181550347219821770138338735723742975769397956270923325001744405724632613087173240241658418871877736263813865717323267504749576459061807444726542981246917706368517669055697972700769727119784165388090150237029834208928730461702942972849697690722390008045588084335418578413111589687937540906949685934962661708274027855540367895090847584880555327144468074138559848294106091536998097811769833033564259546481964644925096003049314763023794253348852409060564484914828474719235322987648532837841433506086988921846440386850364856475232213006649453150698295131821313130460358983165581332229453708287422876098775505640650688820817098854649673621228101045267046959298537612676535683188161488816396902558880459561132532307693267078212949313417777193900702866581935003487548671089857616537081786810964353214932134440488851728012994319136175329998395224447560772264802299675218004839229696063964263539079900365865152915503734534773304216460387139583590107069665401954591702881603389410255410472550895853832959974816969630677459719943856088181646982411414476568616928250636083516387681574867643270662687443317159733430968476382447868610085997158901739103040039428088440622001591154349797798150943532477384125979734109510918679557114306513039225788638077004258996544920536811267953796255005403936014043458910421777262241687135648967831524636059891126840104037994905283533428438187721032346999204756885807757870638086167597162737751479118447556763631072661248118030120366096607307253867450959719513304416840790726037225567737621394065878235672696481407477628490525582244445300017054378515993790320381187852369286767628572909718062415129029419688797778742440383310912858384488043159034520402141440753515091553853400492149286646193936593787224441184879239834219967489408716680787217651611777846282024739236779668734816193180229644179071920407213504758924287136426865242749869139874379413283689567011408516802609427318798251112903139774238960119052795165253405399503080433575943447498462857773080488526892108004646321669978319870425961722834130183679192489412168418827250001503405680126611392627955632723042895551264284004255979383359126184168861540301541391273850500568251694577897837406029449693488163881949988674846394676765778581589222860793936291656449475207582024673836044156495142206515464169111714346547790811145724224681316708135198580919486931056070690235242210763784971605727623857111895208778862247286230889153361396749260506533917880627270619911774806229536889934478897042275047525017145603410153543266966159179342679436984208075512504043699850509435810228029655668555510337614036290027636528089391008313284685673907280526595376498772575612198087043843725596543350277980205727733194436159187133086462721855734}
19140  10277601740154484989113902370651509384286556549691910083414007630090164: {363299,650114,1011611,1125779,1163819,1277891,1353899,1695539,1960811,1988584,2074379,2237157,2251322,2414651,2490179,2641139,3154965,3168491,3365296,3431579,3656771,3785958,3845474,4072634,4218491,4293251,4330619,4554659,4684645,5110492,5113499,5206274,5299379,5621574,6336611,6521171,6631811,6692350,6787322,6889691,7176712,7183931,7237754,7440971,7660979,7880699,8030820,8073801,8090344,8209739,8392259,8566208,8585594,8611019,8938619,9033722,9101637,9307624,9374411,9560500,9636984,9656572,9736691,10151522,10170371,10350731,10471077,10841607,10890611,11106059,11141939,11428691,11464499,11472600,11918812,11964971,12178979,12237440,12370396,12606131,12649864,12906675,12925739,13386251,13598339,13668971,13767120,13986419,14127299,14197691,14231097,14443811,14586722,14684928,14772712,14864819,15144851,15167805,15179819,15354539,15488010,15598811,15681544,15686522,16120931,16178992,16190411,16520544,16537331,16606619,16619301,16870396,16879605,16918019,17125259,17235561,17438714,17641737,17642099,17985659,18004912,18088571,18201366,18294179,18362651,18465299,18499499,18585612,19011539,19215851,19398914,19691459,19725371,19793171,20255526,20518525,20705339,20739011,20895772,20907251,21209579,21544739,21812291,22012619,22045979,22146011,22209722,22345859,22512179,22811051,22854914,23009939,23208539,23241611,24427389,24622230,24996194,25276451,25374131,25796579,25991099,26152979,26185331,26226652,26263712,26959379,27152171,27389845,27408779,27536891,27542541,27600899,28079939,28398299,28435612,28831965,28969331,29064251,29080225,29159099,29235554,29546676,29591529,29600771,29656322,29789579,29978099,30009491,30286394,30385571,30479411,30754096,31040939,31388245,31568891,31605609,31940171,31998837,32168834,32377274,32771339,32867814,33230579,33261131,33358677,33505259,33535739,33726729,33737224,33870491,34145212,34325411,34453754,34537091,34598358,34896270,35229851,35589611,35769059,35948219,35978051,36216419,36573011,36691619,36926522,37199452,37222688,37312211,37336965,37459451,37625725,37665894,37812011,37841339,37950722,37954377,38017139,38280299,38359394,38688371,38842045,38862779,38891819,39128350,39377485,39378554,39581954,39826096,39845651,39894189,39903179,40075571,40161659,40241829,40333619,40705211,40762259,40847771,41132291,41406074,41875524,41896499,42414434,42710819,42906371,43296299,43619714,43656971,43822979,43878251,43938937,44020322,44209211,44236739,44291771,44484131,44566451,44648699,44785619,44804358,44840350,45126565,45150870,45418396,45440051,45630059,45717981,45765539,45848092,46411874,46610454,46922411,46954020,47215979,47252982,47322491,47563996,47800211,47853131,48136317,48160928,48406859,48433139,48904811,49061459,49198605,49295891,49451819,49503731,49532581,49790344,49960322,50084288,50294245,50586491,50612099,50676712,50765579,50850865,51046211,51224291,51275099,51655139,51680411,51756179,52152712,52258972,52300034,52478512,52559891,52584685,52659779,52809371,53182091,53268794,53325805,53404859,53602331,53676251,53808420,53957517,54151878,54181044,54216131,54238197,54265019,54362699,54381532,54630659,54727859,54811322,54873419,55139531,55211939,55428731,55452779,55596899,55651612,55716779,55911669,56014137,56099051,56253550,56344824,56455571,56496892,56726522,56810291,57011301,57092771,57139739,57395648,57444251,57584339,57910091,58049219,58248314,58533899,58671731,58671801,58877939,58900811,59015051,59038326,59174651,59220179,59515331,59696291,59949314,59966771,60009745,60182409,60191291,60238717,60286396,60353094,60571139,60593411,60706012,60771299,61021038,61103459,61191731,61433819,61958651,62012474,62284331,62553981,62758394,62758739,62769910,62866019,62930291,63025384,63101622,63170569,63207971,63314411,63387927,63399419,63505499,63526691,63695939,63780371,63872954,63990966,64095851,64409531,64469596,64570104,64576091,64610245,64780264,64948979,65093291,65278259,65442131,65616429,65692705,65707331,65719034,65869237,65950931,66011651,66052005,66072299,66134812,66240904,66354371,66374459,66453434,66714731,66794459,66854171,66913811,66965692,67002722,67062685,67092299,67250411,67388339,67504260,67663019,67780259,67897211,67915322,68023765,68072099,68149619,68188331,68209852,68362139,68765171,68822459,68955851,68993891,69157384,69209462,69673139,69729722,69953099,70083131,70175771,70277692,70397291,70455472,70581011,70679161,70760830,70899477,70903557,71183749,71235779,71595337,71645725,71666531,71887994,72004544,72011694,72566579,72641367,72723251,72755769,72775331,72810011,72877797,73017419,73160572,73189379,73428779,73632731,73784939,74037179,74337491,74354099,74438205,74453579,74469025,74521017,74552771,74602259,74733434,74783099,75076931,75190499,75211132,75239051,75323892,75528851,75608891,75615074,76147859,76242011,76476131,76489765,76493114,76522739,76923659,76938971,77379539,77469851,77532294,77574851,77694371,77716322,77739059,77802057,77820589,77913205,77976179,78284291,78477052,78502211,78703979,78831246,78883996,78932474,79102811,79153789,79173371,79262406,79400752,79481459,79758179,79771931,80045291,80221259,80342291,80369099,80407334,80422619,80470504,80475222,80542571,80583621,80806811,80885459,80914396,80963819,81002891,81005112,81274379,81336712,81516971,81575221,81628518,81685754,81706451,81856739,81968699,82042979,82288499,82337219,82470539,82538594,82542851,82590899,82758059,82797405,82982411,83020357,83076011,83122619,83284739,83365211,83456699,83694419,83705651,83830089,83873171,84004837,84064634,84257051,84300299,84450659,84459445,84861251,84892331,84912996,84933659,84964571,85118051,85143085,85178939,85199171,85329899,85425637,85498811,85626419,85746554,85771979,85906211,85974870,86001131,86029451,86055310,86142011,86169971,86216411,86248322,86381709,86463731,86472779,86580731,86660939,86962396,87094739,87128579,87328931,87394691,87492371,87548819,87580034,87660539,87668459,87786299,87871571,87894659,87920365,87958504,87971099,87986291,88099211,88151291,88239659,88297931,88317232,88407674,88412939,88532891,88553819,88595459,88636811,88684691,88725419,88738931,88799339,88885451,89002451,89067194,89089189,89148179,89283611,89325846,89331899,89362830,89367779,89403371,89559971,89599619,89616491,89671300,89683259,89791979,89808011,89902691,89938811,89954171,90142499,90185411,90243670,90283019,90287579,90442139,90467651,90497051,90521939,90529317,90530171,90590891,90606779,90661379,90695651,90721859,90762251,90787451,90794579,90826984,90840131,90850451,90868994,90897659,90965531,90996611,91002731,91020899,91047611,91050539,91090691,91118411,91126571,91130751,91174019,91194722,91216451,91226099,91258859,91261139,91267931,91292219,91305059,91313459,91366811,91393931,91399912,91427291,91447259,91454579,91475339,91486931,91501379,91502531,91503801,91517819,91523891,91530611,91536059,91545299,91552859,91554971,91562099,91562699,91573019,91573451,91576619,91578659,91579571,91581419,91582499,91583939,91645765,91706528,91751209,91787718,92006522,92300350,92491874,92548732,93403144,93495846,94098910,94296205,94420322,94832104,95223289,95320352,96544744,96801722,97019221,97116794,97596541,97901954,98870660,98953317,98975485,99256252,99356886,99394024,99797725,99963112,...,108045108870888640069003484766072484932146661470566942636214994308926309812615050032865971471887300927931987342446298355376856430088690268518710474712468713937743364279446778987954407790218716710620070206136044784418305475796238536701609489444090911568563830007234338235649439675263550534378291922019001791097380676026397164049642659767610419379772325520829732655207508103585614463654096934406384987502616608586948919630759860362487628307816604395720798575984901257124364688592711167089814471870376559552776503583546959051154590679676248082135225355544751313393095692554414459274546536083585012068382126503127867619667384531906311360424528902443992562411041783310551842636271377320832990716702111207839772441159137305497146717654749550346389319722946967387644004573972144535691380023278613590846727372242712078852984481472799256762150259130483382769660580275547284712848319509974179726047442697731969695690538474748371998344180562431134314148163258460976033231225648281974510431842151567900570438947806419014803524782242233224595353838320689341698798461539900617319423970126665790851054299872902505231323006634786424805622680216446529822398201660733277592019491478704262994997592836671341158397203449512827007258844544095946395308619850548797729373255601802159956324690580709375385160604498102931887554322405084115383115708826343780749439962225454446016189579915784132272470473617121714852925392375954125274581522362301464905994031164975739600146452714573671802915128995738352608654560059142132660933002386731524696697226415298716076188969601164266378019335671459769558838682957115506388494817380805216901930694382508105904021065188365632665893362530703473451747286954089836690260156056992357925300142657281581548520498807135328711636805957129251395744106627218677671335145446608991872177045180549144910960880801176439579269956625261186089055838351606432091098817353509044722111216442735788373366667950025581567773990685480571781778553930151442859364577093622693544129533196668113660574966369287576732064738551780603212161130272637330780100738223929969290904890680836661777318859751329951234113075021180826477417666769423037108855169503102224289770344466268607880610820257138386430704640297864124803709811569119925534350517112775203914140978197376669354709661358440178579192747880108099254620650363915171247694286659620732790338162006969482504967479805638942584251195275518788734118252628240875002255108520189917088941933449084564343326896426006383969075038689276253292310452312086910775750852377541866846756109044174540232245822924983012269592015148667872383834291190904437484674212811373037010754066234742713309773196253667571519821686216718586337021975062202797871379230396584106035352863316145677457408591435785667842813168293370929346333730042095123890759800876820940905929867662209344305334901718345563412571287525718405115230314900449238769014019155476312113268756065549775764153715342044483502833265506421054435041454792134086512469927028510860920789893064748158863418297130565765588394815025416970308591599791654238780699629694082783601}
19141  10318386019622079741605463289894456305580614961100431563745477055100476: {19141,38278,975171,1740011,2485730,2944634,2982876,3376983,4206620,5047944,5678937,5768211,6108951,6279623,6388115,7079051,7495432,7665738,7809411,8144171,8432361,8970890,9028151,10038525,10112930,10173371,10180983,10707760,10765068,10856631,11068631,11634530,11658491,11950625,12005723,12046230,12070715,12135516,12795299,12849312,12878391,12926123,13550583,13609031,13721351,13948211,13961436,14156618,14340750,14455476,14484858,14625923,14864099,14898515,15227283,15296800,15462995,15587543,15754298,15812330,16237931,16555319,17153819,17208900,17216474,17878218,18334919,18356160,18465890,18555594,18974796,19202483,19579904,19601930,19729754,20223740,20650680,21087995,21876731,21880083,22027392,22159068,22506140,22980748,23232015,23314538,23522316,23529783,23642291,23779043,23998091,24236699,24268488,24751562,24780816,25305594,25462058,25699799,26119715,26158071,26282594,26598914,26909834,27007368,27302049,27878418,27893498,29098371,29357591,29520071,29725082,30383289,31343658,31370651,31524119,32094242,32472458,32569852,32766371,32783315,32829640,33314583,33701219,34064378,34282371,34304042,34362338,34844279,34847834,35544515,36723388,36762323,36933345,37359011,37494291,37726394,38442620,38502071,39339978,39375923,39395568,39455372,40612154,40812323,40930658,41227178,42140812,42171530,42653418,42665116,42681515,43080731,43566551,43823752,43853331,43910999,44051618,44320014,44342123,44478236,44484483,44582291,44968972,45346082,45429591,45633623,45918698,45989114,46131144,46499315,46528360,46606919,47192723,47655563,48253251,48565911,48703691,49301721,49782620,49934051,50221192,50605836,51217818,51402731,51680631,51889331,51897537,52344405,53088794,53192252,53655772,53712563,54828311,55147211,55389783,55799178,55834032,55860194,56218679,56262323,56498841,56682731,56772995,56779883,56926083,57172091,57310115,57539091,57960791,58692525,58716023,59067831,59372931,59454995,59517179,59739144,60042698,60201160,60512711,60675863,60957308,61648538,62109111,62147272,62213162,62237930,62605360,62813286,63003976,63345890,63621651,64181756,64204379,64362842,65190890,65192522,65323715,65429571,65598140,65949923,66030483,67206537,67260525,67726305,67840931,67976915,68127594,68772138,69180458,69475658,69564515,69617811,69665651,69915681,70411691,70431030,70462178,70621115,70879473,71169623,71345994,71744560,71943356,72202504,72241392,72317596,72412811,72747443,73032578,73422554,74548892,74685516,74940483,75126432,75357995,75446954,75814199,75882515,76015068,76480163,76959971,76963691,77073719,77277578,77306858,77706131,78229068,78388458,78450051,78717768,78781730,79253171,79473611,79590683,79903191,79974923,80075063,80243212,80470792,80578331,80586995,80602658,80712630,80883491,80975330,81227817,81271566,81361384,81572298,81727751,81871763,82216983,82319978,82327979,82668515,82801130,82978091,83405308,83477418,83707115,83800874,84135496,84380325,84476651,84517236,84745338,85089783,85262315,85321288,86093472,86446730,86592263,86969771,87200042,87372471,87467723,87488572,87812714,87847115,88069340,88179338,88214231,88557489,88747079,89208791,89923971,90005680,90083594,90258839,90429594,90450731,90529641,91059018,91450715,91531557,91565819,91962131,92376323,92933891,93018711,93562298,94013915,94137591,94154865,94238423,94353098,94415531,94532636,94538076,94652433,95213162,95223074,95739191,95809431,95986449,96015592,96117218,96593738,96670691,96704394,96855156,97007692,97170396,98096315,98578551,98604995,98792411,99202218,99250940,99361356,99528923,99680151,99988874,...,144060145161184853425337979688096646576195548627422590181619992411901746416820066710487961962516401237242649789928397807169141906784920358024947299616624951916991152372595705317272543720291622280826760274848059712557740634394984715602145985925454548758085106676312450980865919567018067379171055896025335721463174234701862885399523546356813892506363100694439643540276677471447485951538795912541846650003488811449265226174346480483316837743755472527627731434646535009499152918123614889453085962493835412737035338111395945401539454239568330776180300474059668417857460923405885945699395381444780016091176168670837156826223179375875081813899371869925323416548055711080735790181695169761110654288936148277119696588212183073996195623539666067128519092963929289850192006098629526047588506697704818121128969829656949438470645975297065675682867012173977843692880773700729712950464426013298906301396590263642626260920717966331162664458907416574845752197551011281301377641634197709299347242456202090534093918597075225353071366376322977632793805117760919122265064615386534156425898626835554387801405733163870006975097342179715233074163573621928706429864268880977703456025988638272350659996790448895121544529604599350436009678459392127928527078159800731730305831007469069546608432920774279167180214139330803909183405763206778820510820945101791707665919949633939261354919439887712176363293964822828953137233856501272167032775363149735286541325374886634319466861936952764895737220171994317803478206080078856176881244003182308699595596301887064954768251959468219021837359114228613026078451577276154008517993089841073622535907592510010807872028086917820843554524483374271297935663049272119782253680208075989810567066856876375442064693998409513771615515741276172335194325475502958236895113527262145322496236060240732193214614507734901919439026608833681581452074451135475242788131756471345392962814955256981051164488890600034108757031987580640762375704738573535257145819436124830258058839377595557484880766621825716768976086318069040804282881507030183107706800984298573292387873187574448882369758479668439934978817433361574435303223555692564049478473559337469632386360459288358143840814427009517848574272853730485499738279748758826567379134022817033605218854637596502225806279548477920238105590330506810799006160867151886894996925715546160977053784216009292643339956639740851923445668260367358384978824336837654500003006811360253222785255911265446085791102528568008511958766718252368337723080603082782547701001136503389155795674812058899386976327763899977349692789353531557163178445721587872583312898950415164049347672088312990284413030928338223428693095581622291448449362633416270397161838973862112141380470484421527569943211455247714223790417557724494572461778306722793498521013067835761254541239823549612459073779868957794084550095050034291206820307086533932318358685358873968416151025008087399701018871620456059311337111020675228072580055273056178782016626569371347814561053190752997545151224396174087687451193086700555960411455466388872318374266172925443711468}
19142  10359330980629781537366930330218675790852113687977991133670740287850616: {57417,726598,1163941,1300228,1392037,2023222,2251558,2327638,2555782,2707798,3093577,3391078,3728595,3921622,3977168,4148758,4218937,4331077,4416951,4474314,4502644,4829302,4980358,5258275,5282278,5337097,6309930,6336982,6558503,6558757,6730592,6863158,7313542,7571916,7690948,8145268,8436982,8586502,8648377,8661238,9109318,9369290,10220984,10226998,10412548,10598758,11143141,11243148,11465737,11498607,12215941,12673222,12749641,13042342,13068997,13263622,13384700,13456335,13574644,13779382,14353424,14367862,14475508,14881942,15169395,15181477,15321958,15600517,15761398,16061640,16147602,16180688,16419478,16746937,16784518,17132416,17171188,17222038,17451795,17877238,18067444,18069345,18203274,18296197,18501541,18615248,18748822,19121000,19273968,19313144,19473382,19727557,20303044,20336677,20340742,20701462,20741317,20942154,21044041,21234927,21511125,21683214,21727287,21747877,21781222,22048441,22212118,22283878,22846777,22857382,22928998,22945200,23045641,23244217,23631447,23718495,23837624,23929942,24357958,24474880,24527941,24740792,25212262,25279675,25299728,25311877,25799497,25813350,25824711,25851478,26188297,26772502,26817327,27155257,27196678,27337942,27534240,27698835,27833391,27972838,28132675,28254598,28395382,28462194,28725935,28887622,29173444,29369856,29402895,29541157,29545424,29594631,29635657,29729638,30012937,30289702,30295141,30335610,30359638,30482917,30576697,30709078,30951097,30976020,31197622,31231141,31363088,31373044,32241862,32357984,32380822,33041088,33074662,33213238,33238602,33264997,33539641,33740792,33759210,33836038,34250518,34471122,34877428,34971807,35283474,35284198,35623717,35971318,35982277,36009824,36177142,36250441,36402732,36588358,36695941,36725302,36930598,36962377,36998998,37127343,37171224,37581541,37845817,37958391,38023078,38193087,38345783,38431702,38797828,38896441,39382918,39423891,39450742,39586342,39898371,39936697,40364751,40511052,40712315,41037050,41410678,41478022,41791544,41814502,41817627,41840247,42155017,42419158,43089478,43624582,43943543,44025238,44091958,44242117,44292022,44419444,44587623,44691718,44818441,45024358,45622102,45709828,45798217,45904235,46019878,46417078,46483222,47015487,47806117,48053275,48141363,48439141,48708687,48854778,49244460,49319215,49457977,49846597,49992388,50552902,50618437,50748262,51096567,51383077,51456063,51543507,51593158,51686917,51982198,52271751,52305958,52370662,52453304,52516537,52527424,52676015,53331395,53918758,54296377,54304342,54378863,54734857,54779690,54817558,55073782,55085082,55128479,55201798,55243141,55459897,55597795,55747897,56159878,56211215,56320441,56589591,56796598,56871224,57029641,57663930,57938662,57940837,58128502,58160450,58218757,58318198,58471108,58564537,58908517,59009967,59093352,59183058,59201542,59312644,59579158,59929657,59956198,60018982,60572788,60601417,60771142,60801541,60918231,60958822,61133641,61395987,61508192,61792441,61840767,61988677,62081878,62228275,62314297,62776490,62960137,63137782,63177191,63211218,63257295,63535237,63880342,63980127,63997674,64337668,64480777,64754548,65542678,65735628,66020677,66077427,66383557,66461158,66480021,66490315,66522262,66717354,66803641,67010518,67069715,67071478,67279417,67453458,67474448,67515577,67740982,68019123,68100937,68290424,68650822,68851141,68878047,68907508,68983671,69074182,69196716,69419941,69792540,70411943,70425637,70459702,70645957,70700857,71179222,71191211,71245897,71538118,71730277,71896438,71956102,72314377,72432838,72576997,73146022,73383238,73618559,73853044,74315077,74364937,74398904,74445376,74464441,74613157,74624422,74656127,74673930,74918902,75251450,75331788,75624022,75682678,75901444,75908754,76034278,76196635,76560598,76627141,76718788,76826727,76950457,77376742,77684090,77725558,77765641,77783638,78256700,78296137,78754970,78757108,79157257,79163908,79409977,79633191,79652192,79691302,79784197,79788378,79806358,79989577,80151142,80227195,80323318,80483658,80667238,80911141,81184057,81299941,81410422,81415177,81524518,81681541,81695542,81997675,82264582,82350277,82495717,82812148,83309641,83412997,83549797,83698767,83719177,83751048,83790291,83792998,84013643,84151141,84612671,84828868,85344037,85421638,85812742,86072137,86487397,86541541,86592598,86938441,87239428,87313942,87515557,87645958,87683641,87756502,87871417,87877874,88040644,88099657,88320697,88418422,88428517,88473478,88583542,88968262,89113957,89132902,89170441,89297398,89317897,89571238,89608716,89680700,89813797,89929195,90016441,90064047,90120517,90206917,90253130,90276937,90301740,90304441,90396995,90454343,90716677,90739141,90826117,90836792,90867877,90880102,91041541,91068217,91260118,91279141,91325257,91331557,91385017,91412197,91435962,91495141,91521097,91531078,91575817,91581541,91592377,91600441,91696184,91969787,92472807,92823748,93186115,93220908,93319743,93356895,93545387,93844822,93887759,93908040,94219929,94431958,94505964,94644982,94650919,95018835,95127992,95233271,95600422,95706262,96272634,96321856,96544263,96813718,96866278,97786335,97788783,97809622,98122918,98397210,98591782,98903638,99007462,99065162,99580688,99920644,...,216090217741777280138006969532144969864293322941133885272429988617852619625230100065731942943774601855863974684892596710753712860177380537037420949424937427875486728558893557975908815580437433421240140412272089568836610951592477073403218978888181823137127660014468676471298879350527101068756583844038003582194761352052794328099285319535220838759544651041659465310415016207171228927308193868812769975005233217173897839261519720724975256615633208791441597151969802514248729377185422334179628943740753119105553007167093918102309181359352496164270450711089502626786191385108828918549093072167170024136764253006255735239334769063812622720849057804887985124822083566621103685272542754641665981433404222415679544882318274610994293435309499100692778639445893934775288009147944289071382760046557227181693454744485424157705968962945598513524300518260966765539321160551094569425696639019948359452094885395463939391381076949496743996688361124862268628296326516921952066462451296563949020863684303135801140877895612838029607049564484466449190707676641378683397596923079801234638847940253331581702108599745805010462646013269572849611245360432893059644796403321466555184038982957408525989995185673342682316794406899025654014517689088191892790617239701097595458746511203604319912649381161418750770321208996205863775108644810168230766231417652687561498879924450908892032379159831568264544940947234243429705850784751908250549163044724602929811988062329951479200292905429147343605830257991476705217309120118284265321866004773463049393394452830597432152377939202328532756038671342919539117677365914231012776989634761610433803861388765016211808042130376731265331786725061406946903494573908179673380520312113984715850600285314563163097040997614270657423273611914258502791488213254437355342670290893217983744354090361098289821921761602352879158539913250522372178111676703212864182197634707018089444222432885471576746733335900051163135547981370961143563557107860302885718729154187245387088259066393336227321149932738575153464129477103561206424322260545274661560201476447859938581809781361673323554637719502659902468226150042361652954835333538846074217710339006204448579540688932537215761221640514276772861409280595728249607419623138239851068701034225550407828281956394753338709419322716880357158385495760216198509241300727830342495388573319241465580676324013938965009934959611277885168502390551037577468236505256481750004510217040379834177883866898169128686653792852012767938150077378552506584620904624173821551501704755083733693512218088349080464491645849966024539184030297335744767668582381808874969348425622746074021508132469485426619546392507335143039643372433437172674043950124405595742758460793168212070705726632291354914817182871571335685626336586741858692667460084190247781519601753641881811859735324418688610669803436691126825142575051436810230460629800898477538028038310952624226537512131099551528307430684088967005666531012842108870082909584268173024939854057021721841579786129496317726836594261131531176789630050833940617183199583308477561399259388165567202}
19143  10400437251681877059462494639213673148438288534449650417588616392524740: {38282,76556,1089897,1625285,1950342,2313641,3034833,3377337,3480022,3491457,3833673,4061697,4971460,5086617,5628305,5882433,5889268,5965752,6223137,6711471,6753966,7243953,7470537,7923417,8413240,8943361,9464895,9505473,9613685,10095888,10181585,10294737,10669633,10970313,11123057,11357874,11536422,12217902,12378377,12559246,12655473,12776230,12879753,12991857,13015685,13418161,13663977,14053935,14158102,14990864,15121717,15244121,15331476,15340497,15589177,15618822,15898137,16288342,16730875,16864722,16899001,16968305,17184773,17941780,17991497,18056302,18094385,18336841,19009833,19563513,19565377,19895433,20077050,20225860,20346742,20361966,20617913,20669073,20857921,21143441,21415520,21463985,21530136,21551793,21648193,21713262,22137262,22322913,22584305,22677797,22982937,23269060,23316982,23642097,23901250,24011446,24092460,24141430,24221403,24271032,24629217,25176777,25378805,25418977,25590598,25698624,25756782,25833057,25852246,26105461,26423737,26815857,27101166,27218062,27304911,27380441,27442702,27896422,27922872,28123233,28313236,28681500,28802981,28910952,28969716,29210073,29251846,29523193,29728198,29797030,30454566,30511113,30593600,30925990,31052193,31175086,31413231,31508596,31624660,32475862,32524821,32671833,33110638,33318177,33425817,34286073,34307638,34393497,34417800,34432948,35756436,35894913,36025441,36078977,36341633,36466805,36523973,36536937,36567601,36669838,36712320,36931780,37111188,37255777,37818393,37949592,38404966,38720025,38723893,38777217,38956457,39159808,39203860,39216305,39459508,40158753,40447480,40795017,41006913,41301360,41959257,42175990,42381897,42593073,42693291,43331433,43596785,43753462,43760166,44054784,44318136,44594457,45012280,45434553,45503415,45539457,45807617,45896641,45961496,46063617,46464030,46629076,46790993,46796433,47044632,47059566,47284582,47558086,47996182,48362793,48438137,48473398,48497285,48536976,48571233,49503124,49561632,49611993,49762321,49819857,49857903,50611188,50638815,50754057,50924116,51375777,51399598,51706683,51894817,52239430,52316142,52565188,52789601,52925211,52926297,53197828,53474933,53819668,53824601,53956977,54014736,54265713,54433537,54588017,54604098,54882537,55087953,55395897,55399241,55498497,55524305,55689077,55756836,55786996,57034617,57137285,57647553,57655721,58196742,58715182,59040142,59074377,59176113,59379513,59450164,59509937,59754121,60695737,60718097,60766578,61555575,62116017,62217033,62266277,62490485,62687316,62721753,62741302,63048238,63628737,64188484,64634217,64944916,65099041,65139704,65436873,65532742,65566630,65659280,66037857,66137937,66438033,66440257,66629166,67037577,67402438,67536537,68128756,68223301,68433153,68564742,68608084,68724676,69029817,69378437,69625617,69688558,69695668,69724833,71089030,72931241,73088885,73282167,73446776,73524646,73866690,74134577,74140805,74169713,74718022,74988582,75390113,75452788,75715985,75822217,75829353,76122393,76885240,77004142,77389737,77973297,78458937,78555993,78679956,78683141,78751846,78791136,78910744,78989537,79482193,79645457,80201297,80234161,80422085,80878137,80943185,81224308,81456513,81624646,81754657,81861316,82169535,82226337,82332133,82438661,82454356,82610673,82622441,82627623,82802697,83236993,84239817,84281624,84343060,84647077,85194897,85306836,85330232,85331401,85363030,86134385,86161462,86248217,86495895,86907993,87133102,87192753,87240675,87477297,87647504,87706662,87821998,88103236,88640028,88661441,88684246,88774587,88802313,88956472,88968966,89164582,89182321,89368737,89627717,89934297,89937944,90028473,90692164,90859182,90952693,91156713,91267246,91438233,91453201,91760321,91837396,91978228,92262288,92316305,92998630,93047897,93056720,93122817,93213838,94164735,94385446,94680641,94706673,94816827,94876805,95167681,95311126,95784041,95820513,95898485,95996511,96506502,97131822,97390321,97407382,97820875,98314017,98446385,98603442,98869561,98954885,99565240,99691737,99783393,99868102,...,324135326612665920207010454298217454796439984411700827908644982926778929437845150098597914415661902783795962027338895066130569290266070805556131424137406141813230092838340336963863223370656150131860210618408134353254916427388715610104828468332272734705691490021703014706948319025790651603134875766057005373292142028079191492148927979302831258139316976562489197965622524310756843390962290803219154962507849825760846758892279581087462884923449813187162395727954703771373094065778133501269443415611129678658329510750640877153463772039028744246405676066634253940179287077663243377823639608250755036205146379509383602859002153595718934081273586707331977687233125349931655527908814131962498972150106333623519317323477411916491440152964248651039167959168840902162932013721916433607074140069835840772540182116728136236558953444418397770286450777391450148308981740826641854138544958529922539178142328093195909087071615424245115995032541687293402942444489775382928099693676944845923531295526454703701711316843419257044410574346726699673786061514962068025096395384619701851958271910379997372553162899618707515693969019904359274416868040649339589467194604982199832776058474436112788984992778510014023475191610348538481021776533632287839185925859551646393188119766805406479868974071742128126155481813494308795662662967215252346149347126479031342248319886676363338048568739747352396817411420851365144558776177127862375823744567086904394717982093494927218800439358143721015408745386987215057825963680177426397982799007160194574090091679245896148228566908803492799134058007014379308676516048871346519165484452142415650705792083147524317712063195565096897997680087592110420355241860862269510070780468170977073775900427971844744645561496421405986134910417871387754187232319881656033014005436339826975616531135541647434732882642403529318737809869875783558267167515054819296273296452060527134166333649328207365120100003850076744703321972056441715345335661790454328578093731280868080632388599590004340981724899107862730196194215655341809636483390817911992340302214671789907872714672042509985331956579253989853702339225063542479432253000308269111326565508509306672869311033398805823641832460771415159292113920893592374411129434707359776603051551338325611742422934592130008064128984075320535737578243640324297763861951091745513743082859978862198371014486020908447514902439416916827752753585826556366202354757884722625006765325560569751266825800347253693029980689278019151907225116067828759876931356936260732327252557132625600540268327132523620696737468774949036808776045446003617151502873572713312454022638434119111032262198704228139929319588761002714559465058650155759011065925186608393614137691189752318106058589948437032372225774307357003528439504880112788039001190126285371672279402630462822717789602986628032916004705155036690237713862577155215345690944701347716307042057466428936339806268196649327292461146026133450508499796519263163305124364376402259537409781085532582762369679194244476590254891391697296765184445076250910925774799374962716342098889082248350803}
19144  10441705463723365277942438063855601864916308273529770392651337591808688: {57423,95695,114834,439783,1354183,1453196,2036959,2150503,2327882,2490703,2600456,2784074,2925513,3732559,4046444,4294159,4406263,4503116,4655276,5111564,5220033,5415596,6187154,6214325,6522559,6782156,7361585,7457190,7515943,7843244,7954336,8065303,8284543,8297516,8437874,8662154,8833902,8948628,9005288,9658604,9960716,10130949,10352959,10516550,10564556,10674194,11860423,12608863,12619860,12673964,12928543,13117006,13117514,13461184,13671943,13726316,14200783,14627084,15143832,15381896,15671959,16193959,16290536,16610263,16873964,17036811,17173004,17296754,17304633,17322476,17336023,18218636,18326853,18366703,18738580,18838869,19164345,19797559,19899223,20441968,20453996,20825096,20911903,21197516,21237153,21314959,21917383,22286282,22427225,22486296,22931474,22997214,23312959,23428233,24202663,24431882,24432513,25282325,25297083,25346444,25499282,26084684,26137994,26255959,26527244,26769400,26912670,27084453,27149288,27558764,27607183,28706848,28735724,28951016,29086325,29134159,29763884,30115575,30338790,30362954,30520113,30542949,30643916,31201034,31390063,31522796,31576183,32123280,32295204,32361376,32569893,32838956,32962903,33205893,33493874,33569036,34264832,34342376,34444076,34696159,34903590,34975473,35391545,35754476,35851875,35956663,36017169,36134888,36138690,36212145,36406548,36592394,37003082,37230496,37379959,37468303,37497644,37908943,38242000,38347783,38385897,38547936,38626288,38635173,38778369,38946764,39220063,39385745,39455114,39530825,39566959,39912703,40216309,40606088,40651749,40673354,40681484,40772023,40827093,41164053,41402924,41482634,41844633,41884308,42088082,42469854,42888823,43022250,43041185,43366428,43454574,43495754,43562444,43805959,43877769,43888903,44096882,44302543,44424236,44549863,44567756,44592297,44695545,45681849,45693554,45714764,45857996,45890400,46091282,46164725,46343743,46388985,46488434,46762629,47262894,47436990,47467159,47675248,47859884,47864959,48713793,48715916,48949760,48969223,49004825,49055882,49324385,49481584,49516063,49665957,50213959,50424524,50559350,50599456,50623754,51287983,51461457,51598994,51626700,51649422,51702956,51743959,52376594,52872559,53170783,53545004,53615959,53634654,53689903,54278863,54310514,54393356,54675884,55004757,55068480,55397670,55666782,55874743,55945676,56161159,56265350,56509196,56790764,56801383,56872159,56924388,56997241,57154543,57451870,57607449,57775244,57855463,57925159,58286345,58346888,58739712,58805790,59082314,59090848,59189262,59235703,59271314,59459276,59576263,59644159,60025874,60579404,60590282,60653959,60671220,60719276,60720703,60965834,61153394,61418156,61581823,61878905,61902194,61952040,61975159,62395244,62462282,62726176,62746088,63263985,63331423,63655145,64265929,64483724,64593583,64715968,64761644,64780423,64842559,65090383,65630193,65640249,65706485,66070159,66082176,66130783,66149324,66426476,66477204,66497285,66529994,66733063,67079282,67274585,67481584,67518420,67672076,68090983,68207263,68501036,68942244,69013159,69046901,69696045,69733745,69754856,69943614,70139959,70417159,70566948,70568396,70589349,70926873,71247434,71337129,71507959,71942636,71964554,71994273,72019648,72042559,72354284,72500882,72710097,72778903,72805464,72830959,73038463,73176716,73391882,73398823,73450604,73746421,73861196,73924754,73997996,74058703,74108959,74159143,74254686,74312705,74342448,74663953,75163082,75293503,75691634,75774823,75916782,76046156,76295959,76386174,76576543,76691566,76863404,77099397,77447959,77493103,77595656,77792882,77836913,78161623,78337159,78359145,78474213,78695701,78727903,78765836,78847782,78901484,79172684,79575343,79796742,79865143,79873394,80235605,80273023,80393983,80729502,81022104,81067183,81181145,81261223,81424630,81906147,82019383,82074100,82130623,82821356,82956044,83102623,83583088,83629004,83635254,83680494,84284503,84310034,84574159,84732559,84838316,84920263,85013143,85160945,85227343,85527223,85760105,85905845,86048863,86178956,86217559,86601103,87119585,87249164,87275959,87295113,87424783,87522559,87887086,88016983,88050476,88072773,88183916,88458343,88484234,88560213,88564183,88584044,88770463,88830943,88838888,89175246,89383436,89417959,89506159,89636882,89660383,89982223,89997559,90048716,90161503,90501703,90551959,90564343,90829303,90952423,91037959,91074103,91149867,91214863,91237543,91244204,91252303,91308463,91341223,91419656,91433959,91487023,91499983,91523959,91545343,91555063,91569823,91585159,91596434,91612159,91620583,91808470,92039756,92834156,92966444,93086441,93897601,94030974,94111953,94315985,94572357,94660841,95612234,96106550,96282726,96878282,97417374,97709556,98299113,98349945,98488920,98638430,98915954,99268037,99693194,99943749,99984776,99996793,...,432180435483554560276013939064289939728586645882267770544859977235705239250460200131463885887549203711727949369785193421507425720354761074074841898849874855750973457117787115951817631160874866842480280824544179137673221903184954146806437957776363646274255320028937352942597758701054202137513167688076007164389522704105588656198570639070441677519089302083318930620830032414342457854616387737625539950010466434347795678523039441449950513231266417582883194303939605028497458754370844668359257887481506238211106014334187836204618362718704992328540901422179005253572382770217657837098186144334340048273528506012511470478669538127625245441698115609775970249644167133242207370545085509283331962866808444831359089764636549221988586870618998201385557278891787869550576018295888578142765520093114454363386909488970848315411937925891197027048601036521933531078642321102189138851393278039896718904189770790927878782762153898993487993376722249724537256592653033843904132924902593127898041727368606271602281755791225676059214099128968932898381415353282757366795193846159602469277695880506663163404217199491610020925292026539145699222490720865786119289592806642933110368077965914817051979990371346685364633588813798051308029035378176383785581234479402195190917493022407208639825298762322837501540642417992411727550217289620336461532462835305375122997759848901817784064758319663136529089881894468486859411701569503816501098326089449205859623976124659902958400585810858294687211660515982953410434618240236568530643732009546926098786788905661194864304755878404657065512077342685839078235354731828462025553979269523220867607722777530032423616084260753462530663573450122813893806989147816359346761040624227969431701200570629126326194081995228541314846547223828517005582976426508874710685340581786435967488708180722196579643843523204705758317079826501044744356223353406425728364395269414036178888444865770943153493466671800102326271095962741922287127114215720605771437458308374490774176518132786672454642299865477150306928258954207122412848644521090549323120402952895719877163619562723346647109275439005319804936452300084723305909670667077692148435420678012408897159081377865074431522443281028553545722818561191456499214839246276479702137402068451100815656563912789506677418838645433760714316770991520432397018482601455660684990777146638482931161352648027877930019869919222555770337004781102075154936473010512963500009020434080759668355767733796338257373307585704025535876300154757105013169241809248347643103003409510167467387024436176698160928983291699932049078368060594671489535337164763617749938696851245492148043016264938970853239092785014670286079286744866874345348087900248811191485516921586336424141411453264582709829634365743142671371252673173483717385334920168380495563039203507283763623719470648837377221339606873382253650285150102873620460921259601796955076056076621905248453075024262199103056614861368177934011333062025684217740165819168536346049879708114043443683159572258992635453673188522263062353579260101667881234366399166616955122798518776331134404}
19145  10483136250149367418325735190312794976319735999191119860868343993504618: {76564,153112,172251,1816495,2179794,2275399,2734303,3250570,3491823,3900684,4176111,4627282,5058055,5628895,5819095,6069666,6389455,6754674,6769495,6960044,6982914,7667346,7879627,8123394,8477695,9280731,9804055,9867979,9942920,10173234,10371895,11124223,11185785,11256610,11764866,11778536,11931504,12073255,12446274,12450895,12656811,12797983,12993231,13145431,13205695,13250853,13303639,13422942,13459159,13507932,14254219,14487906,14628991,14941074,15245719,15774825,15842455,15846834,16011291,16052167,16826480,17037547,17157895,17393563,17886722,17993383,18221959,18283855,18869131,18929790,19010946,19126207,19206511,19227370,19675509,19676271,20191776,20312479,20363170,20471767,20589474,21092455,21339266,21466255,21562123,21653095,21940626,22246114,22715748,22773295,23072844,23245111,23423225,23755627,23784031,24241783,24435804,24756754,24987703,25118492,25310946,25332139,25552460,25567495,25759506,25945131,25983714,25991047,26031370,26496895,26836322,27327954,28107870,28316204,29981728,30049579,30243434,30488242,30662952,30680994,31110283,31178354,31237644,31382119,31618027,31683055,31796274,32191567,32358703,32576684,32605855,33159055,33429423,33461750,33729444,33798002,33936610,34369546,34397211,34448455,34495821,35530327,35883560,35919655,35982994,36112604,36188770,36647823,36673682,37204855,38019666,38248923,38304895,39127026,39130754,39206991,39403495,39790866,40154100,40369005,40451720,40693484,40723932,40820911,41023159,41048695,41235826,41338146,41397823,41715842,41961295,42083659,42286882,42638791,42831040,42927970,43055095,43060272,43103586,43296386,43426524,43613767,44274524,44645826,44693095,45168610,45355594,45508185,45544431,45965874,46388683,46538120,46633964,46801551,46872055,47284194,47665591,47802500,48022892,48073807,48184920,48282860,48442806,48542064,48683455,48966763,49258434,49404391,50010199,50240811,50353554,50757610,50837954,50851855,51053527,51181196,51397248,51513564,51666114,51704492,51753655,52210922,52294639,52355385,52847474,53631714,54202332,54208035,54436124,54453055,54579079,54609822,54760882,54885404,54888591,54902827,55504623,55530295,55709695,55792844,55845744,56246466,56626472,56791831,56959783,57143455,57245071,57322495,57363000,57605962,57821904,57939432,58101643,58299919,58420146,58503692,58984927,59046386,59182671,59456396,59529703,59594060,59824855,59928619,60156907,60894895,60909132,61010031,61022226,61035499,61187200,61527223,61851980,62104386,62223951,62350172,62826462,63017192,63030655,63132123,63249320,63704781,64438747,64513111,64533375,64628695,64951724,65020471,65049642,65181861,65243631,65343666,66145323,66221276,66560503,66636354,66851634,66931255,67855279,67896199,67991695,68344855,68461723,68540331,68572146,68615276,68786994,68835600,68865896,69136923,69680479,69732651,69932095,70636495,70894341,70988455,71077291,71155485,71512872,71709979,71757751,71789826,72050882,72157954,72219055,72683266,72762751,72933610,73047946,73073874,73135202,73339676,73424640,73573807,73583823,73863560,74222376,74324095,74511554,75224959,75403567,75636786,75724255,75839025,75899095,75899184,75935631,76772695,76809932,77398491,77440050,77447786,77474133,77554434,77734027,77912914,77994055,78319616,78407720,78432610,78564891,78919016,79514647,79607431,79992199,80241223,80317506,80451981,80604655,80894960,80952055,81465771,81511387,81590034,81888991,82013826,82345303,82521343,82602720,82686655,83033095,83096505,83500173,83620591,83918514,84351980,84398025,84590095,84763794,85186146,85386582,85626295,86177805,86242207,86320327,86625559,86659903,86662866,87193570,87486679,87506924,87520332,87613591,88109568,88208685,88210495,88623471,88636272,88783893,88906971,89072863,89188914,89928295,90024560,90038811,90442855,90869106,90885423,91006830,91078914,91081243,91448751,91470895,91615234,91730091,91775083,91793282,91813255,91922992,92127234,92137327,92326495,92497495,92853291,92928060,93258152,93351271,93581986,93592866,93693423,94089264,94119132,94569164,94783351,95057695,95091403,95116172,95992364,96079255,96202063,96725586,96876274,96932971,96946796,96994570,97073952,97142466,97644703,98088619,98457295,98482183,98626855,98965855,99006248,99123264,99223986,99524642,99639714,99715806,99794991,...,648270653225331840414020908596434909592879968823401655817289965853557858875690300197195828831323805567591924054677790132261138580532141611112262848274812283626460185676680673927726446741312300263720421236816268706509832854777431220209656936664545469411382980043406029413896638051581303206269751532114010746584284056158382984297855958605662516278633953124978395931245048621513686781924581606438309925015699651521693517784559162174925769846899626374324791455909407542746188131556267002538886831222259357316659021501281754306927544078057488492811352133268507880358574155326486755647279216501510072410292759018767205718004307191437868162547173414663955374466250699863311055817628263924997944300212667247038634646954823832982880305928497302078335918337681804325864027443832867214148280139671681545080364233456272473117906888836795540572901554782900296617963481653283708277089917059845078356284656186391818174143230848490231990065083374586805884888979550765856199387353889691847062591052909407403422633686838514088821148693453399347572123029924136050192790769239403703916543820759994745106325799237415031387938039808718548833736081298679178934389209964399665552116948872225577969985557020028046950383220697076962043553067264575678371851719103292786376239533610812959737948143484256252310963626988617591325325934430504692298694252958062684496639773352726676097137479494704793634822841702730289117552354255724751647489134173808789435964186989854437600878716287442030817490773974430115651927360354852795965598014320389148180183358491792296457133817606985598268116014028758617353032097742693038330968904284831301411584166295048635424126391130193795995360175184220840710483721724539020141560936341954147551800855943689489291122992842811972269820835742775508374464639763312066028010872679653951233062271083294869465765284807058637475619739751567116534335030109638592546592904121054268332667298656414730240200007700153489406643944112883430690671323580908657156187462561736161264777199180008681963449798215725460392388431310683619272966781635823984680604429343579815745429344085019970663913158507979707404678450127084958864506000616538222653131017018613345738622066797611647283664921542830318584227841787184748822258869414719553206103102676651223484845869184260016128257968150641071475156487280648595527723902183491027486165719957724396742028972041816895029804878833833655505507171653112732404709515769445250013530651121139502533651600694507386059961378556038303814450232135657519753862713872521464654505114265251201080536654265047241393474937549898073617552090892007234303005747145426624908045276868238222064524397408456279858639177522005429118930117300311518022131850373216787228275382379504636212117179896874064744451548614714007056879009760225576078002380252570743344558805260925645435579205973256065832009410310073380475427725154310430691381889402695432614084114932857872679612536393298654584922292052266901016999593038526326610248728752804519074819562171065165524739358388488953180509782783394593530368890152501821851549598749925432684197778164496701606}
19146  10524730246814572948139324046391276056889644990922011133213596228845835: {95705,114846,133973,191390,229668,879566,1126133,1278293,1392329,2075033,2604233,2708366,2906392,3169493,3269691,3282329,3770453,4073918,4294613,4301006,4331993,4406729,4655764,4875855,4981406,5200912,5226713,5568148,5783573,5851026,6560153,6633929,6744533,6940923,7002329,7296473,7443353,7465118,8092888,8102729,8588318,8700055,8723093,8812526,9006232,9104499,9310552,9486233,10132011,10223128,10306219,10440066,10462229,10474371,10831192,11001929,11253173,11501019,11897429,12075929,12185091,12374308,12428650,13045118,13249013,13496729,13564312,14723170,14914380,15031886,15259851,15359573,15673673,15686488,15708533,15908672,16021913,16130606,16569086,16595032,16875748,16884915,16923593,17234453,17324308,17647299,17667804,17751113,17897256,18010576,18094553,18368729,18471413,18669411,18983753,19317208,19324313,19630133,19799753,19901429,19921432,20134413,20261898,20705918,21033100,21129112,21317333,21348388,21731859,21819593,21919829,22153433,22411611,22918229,23315573,23513813,23720846,23770251,24828053,24991433,25217726,25239720,25347928,25382729,25480373,25857086,26234012,26235028,26258933,26291273,26830083,26839829,26922368,27257753,27343886,27452632,27546293,28185173,28394685,28401566,28503413,28516419,28662233,28841055,28979273,29074229,29169113,29254168,29610953,30287664,30489929,30544755,30583733,30763792,30884211,31020533,31343918,31398115,31940575,31951253,32008899,32387918,32581072,32598473,32874773,32910939,33220526,33369171,33747928,33973493,34073622,34094933,34346008,34593508,34609266,34644952,34672046,34730393,34881173,35091929,35332313,35395255,35781653,35990729,36437272,36585929,36653706,36733406,37135131,37325429,37477160,37677738,37913429,37966419,38264693,38328690,38639259,38975571,39047055,39595118,39798446,39946229,40176053,40254483,40433993,40720855,40862453,40883936,40907992,40991931,41232329,41650192,41823806,42161805,42165173,42221429,42395032,42474306,42629918,42726293,42921929,43256393,43834766,43838933,44307929,44390453,44572564,44582729,44665013,44801993,44854450,44972592,45140755,45365151,45456713,45728153,45732363,45862948,45994428,46021491,46625918,46767531,46832693,46856466,47073353,47339993,47694411,47817929,47870873,47950229,48405326,48687413,48863764,48865026,49079753,49470293,49522229,49548163,49600073,50192625,50564650,50594166,50692888,50697003,50861333,50866855,50904915,50998564,51141833,51554319,51750473,51775733,52169368,52275988,52511918,52579829,52654793,52829429,53028533,53054488,53202329,53538800,53622773,53696729,53825340,53974491,54168906,54283155,54298576,54310229,54359093,54748853,54967193,55010523,55088213,55117528,55140043,55214366,55233173,55343155,56832329,57029499,57373013,57413696,57471448,57536729,57902032,57955913,58172650,58268318,58280153,58292455,58690539,58694729,58696131,58855253,59197913,59527768,59674613,59686299,59753125,59787593,59990453,60028615,60231150,60257659,60353575,60661973,60677580,60725908,61040226,61085898,61287832,61392329,61611929,61853739,62005193,62007219,62048729,62402068,62525513,62573763,62780126,62955593,63045592,63152366,63403733,63430323,63976495,64246560,64352153,64391955,64498229,64590408,64630615,64655379,64722752,64944579,64975433,65119829,65139786,65366453,65530229,65677912,65835929,65925806,65977973,66038729,66079193,66099413,66411786,66742229,66881753,66941429,66968739,66987748,67138072,67337429,67475273,67752915,68033391,68045155,68119829,68467733,68529664,68606755,68684752,68851253,68888152,68948811,69054139,69392318,69741055,69807180,69833429,69950946,70445513,70482329,70610933,70665929,70757429,70783090,70926291,71085173,71266133,71508952,71703750,71750729,71913326,72034338,72052853,72269776,72277380,72335093,72424290,72664209,72806729,72813096,73129615,73152329,73184788,73783253,73887651,74006164,74119733,74320495,74369993,74460992,74492575,74535833,74634953,74759918,74865113,74936606,74995288,75207413,75272213,75530331,75610313,75817886,76039829,76136415,76228853,76256931,76322933,76401113,76484000,76510229,76556873,76695566,76771794,77019353,77095872,77247893,77252576,77270346,77314975,77459573,77499171,77556738,77774153,77893528,77937715,77996693,78129353,78316383,78349013,78440126,78771490,78782933,78910228,79061650,79133918,79139033,79181429,79209653,79251929,79271211,79670729,79825406,79877429,80014229,80082329,80432618,80447571,80459993,80580053,80646473,81040793,81079829,81170633,81189655,81212176,81303498,81346708,81362968,81504473,81544046,81600883,81654186,81882953,81914733,82141323,82328106,82582229,82618313,82666313,82776595,82797653,82805848,82845173,82916213,82965268,83150933,83232329,83324873,83439833,83576729,83599433,83689266,83768616,83969429,84079829,84176164,84265673,84330713,84369699,84406229,84534773,84756953,84934229,84939708,85006553,85160213,85221173,85452499,85541429,85571033,85769095,85777646,85814933,85901513,85949333,85977929,86044373,86044500,86072729,86082370,86101013,86185433,86213429,86398229,86408943,86507573,86624729,86630467,86732856,86784713,86909148,86991508,87124888,87164873,87299273,87464393,87545753,87586133,87611918,87630219,87755538,87777806,87917429,87940553,88130453,88145429,88193764,88219829,88329929,88473929,88558793,88569579,88600793,88605086,88731893,88752329,88848472,88866773,88952729,89004953,89099726,89117203,89135512,89184594,89331929,89350133,89391090,89434133,89440073,89665493,89781833,89857433,89873429,89926229,89988533,90003929,90319829,90573173,90784853,90825113,90860873,90867929,90902729,90913013,90960053,91049429,91171733,91179929,91219829,91277513,91321973,91328729,91361429,91363698,91386293,91387108,91427033,91429528,91452233,91482329,91530773,91533339,91589429,91603913,91611353,91613429,91616729,91631093,91636553,91640729,91674595,91715992,91780800,91989079,92182564,92329450,92687486,92777970,92976868,93096199,93156579,93525258,94184419,94239693,94525788,94873980,94934318,95350496,95719768,95729918,96012415,97427586,97431832,97574463,97627243,97899520,97938446,98009650,98015499,98111764,98648770,98963168,99032126,99278443,99331914,99954531,...,972405979837997760621031362894652364389319953235102483725934948780336788313535450295793743246985708351387886082016685198391707870798212416668394272412218425439690278515021010891589670111968450395580631855224403059764749282166146830314485404996818204117074470065109044120844957077371954809404627298171016119876426084237574476446783937908493774417950929687467593896867572932270530172886872409657464887523549477282540276676838743262388654770349439561487187183864111314119282197334400503808330246833389035974988532251922631460391316117086232739217028199902761820537861232989730133470918824752265108615439138528150808577006460787156802243820760121995933061699376049794966583726442395887496916450319000870557951970432235749474320458892745953117503877506522706488796041165749300821222420209507522317620546350184408709676860333255193310859352332174350444926945222479925562415634875589767617534426984279587727261214846272735347985097625061880208827333469326148784299081030834537770593886579364111105133950530257771133231723040180099021358184544886204075289186153859105555874815731139992117659488698856122547081907059713077823250604121948018768401583814946599498328175423308338366954978335530042070425574831045615443065329600896863517557777578654939179564359300416219439606922215226384378466445440482926386987988901645757038448041379437094026744959660029090014145706219242057190452234262554095433676328531383587127471233701260713184153946280484781656401318074431163046226236160961645173477891040532279193948397021480583722270275037737688444685700726410478397402174021043137926029548146614039557496453356427246952117376249442572953136189586695290693993040262776331261065725582586808530212341404512931221327701283915534233936684489264217958404731253614163262561696959644968099042016309019480926849593406624942304198647927210587956213429609627350674801502545164457888819889356181581402499000947984622095360300011550230234109965916169325146036006985371362985734281193842604241897165798770013022945174697323588190588582646966025428909450172453735977020906644015369723618144016127529955995869737761969561107017675190627438296759000924807333979696525527920018607933100196417470925497382314245477876341762680777123233388304122079329809154654014976835227268803776390024192386952225961607212734730920972893291585853275236541229248579936586595113043458062725342544707318250750483258260757479669098607064273654167875020295976681709253800477401041761079089942067834057455721675348203486279630794070808782196981757671397876801620804981397570862090212406324847110426328136338010851454508620718139937362067915302357333096786596112684419787958766283008143678395175950467277033197775559825180842413073569256954318175769845311097116677322922071010585318514640338364117003570378856115016838207891388468153368808959884098748014115465110070713141587731465646037072834104043148921126172399286809019418804589947981877383438078400351525499389557789489915373093129206778612229343256597748287109037582733429770764674175091890295553335228752732777324398124888149026296667246745052409}
19147  10566488092042721718384698012747446343980391220498180509132725253338147: {153128,172269,287085,306224,344502,1319349,2543093,3231449,3632990,4062549,4359588,4550798,5468606,5819705,6110877,6451509,6501140,6960185,6983646,7081277,7472109,7801368,7880453,8146733,8352222,8776539,8945237,9254564,9477293,10116110,11197677,11257790,11638190,11662157,11868773,12139332,12778910,12882477,13146809,13218789,13509348,13538990,13725677,13920088,13952597,13965828,14053853,14520653,14868773,15124889,15334692,15467885,15660099,15759254,16243037,16246788,16902557,16955390,17039333,17159213,17431253,18487973,18561462,18642975,18871109,19567677,19608110,19735958,19774553,19885840,20346468,20473913,20556029,20743790,21094685,21376349,21655385,21883613,22084755,22179437,22248446,22371570,22513220,22547829,23529732,23557072,23863008,24005657,24021053,24146510,24195909,24853629,24892548,24901790,25313622,25424309,25482509,25585493,25595966,25597397,25986462,26110937,26290862,26291375,26411390,26501706,26555573,26607278,26685485,26845884,26918318,27015864,27783533,28508438,28927673,28975812,29257982,29529437,29882148,30052757,30314333,30392847,30491438,31058877,31549650,31684910,31693668,31882613,31986629,32022582,32104334,32776733,32792515,32793785,33652960,34018589,34075094,34315790,34787126,35074133,35581269,35773444,35794493,35986766,36443918,36567710,37016093,37095653,37738262,37826589,37859580,38021892,38252414,38413022,38454740,38785629,39351018,39352542,40383552,40624958,40726340,40943534,41015829,41178948,41588333,42184910,42602349,42678532,42932510,43124246,43241885,43306190,43417229,43881252,44356277,44492228,45431496,45546590,45648197,45849413,46145688,46393589,46422677,46490222,46621613,46846450,47015877,47511254,47568062,48227837,48483566,48581877,48719093,48871608,49513508,49830789,49975406,50236984,50287517,50621892,50638937,50664278,51104920,51110433,51134990,51418937,51519012,51890262,51913899,51967428,51982094,52008069,52062740,52086797,52993790,53626853,53672644,53729549,54655908,54822989,54845597,54980559,55100109,55164893,55627613,55715705,56215740,56516607,56632408,57328685,57463373,57468173,57493035,58745813,59392677,59697669,59738309,59963456,60087449,60099158,60277133,60486868,60708509,60976484,61079705,61325904,61361988,62220566,62356708,62475288,62570333,62735709,62764238,63052853,63236054,63366110,63592548,63711459,63748205,63944877,64383134,64717406,65153368,65158733,65211710,65344985,65620877,65752149,65893229,66318110,66858846,66923500,67281675,67458888,67596004,67862453,67873220,68156837,68237657,68739092,68794422,68896910,68991642,69938877,70284699,71036633,71060654,71192597,71767120,71839310,71965988,72123293,72225208,72377540,72455117,72607989,73295646,73297539,73347364,74409710,75598793,75838253,75846975,75891249,75907385,76039332,76234277,76497846,76504349,76609790,76631033,77742413,77993573,78002585,78197933,78254052,78261508,78413982,78767877,78806990,79581732,80000837,80251493,80308200,80603813,80738010,80903440,80909309,81253359,81386968,81447864,81641822,82046318,82097390,82229549,82349657,82471652,82676292,82795646,82821549,83431684,83734685,83754797,83922590,84155429,84167318,84573764,84664889,84748157,85252853,85277582,85349357,85662080,85855940,86110190,86120544,86207172,86592772,86853048,86883413,87227534,87258975,87402477,88242917,88549048,88600949,89291652,89386190,90337220,90346725,90425813,90480173,90711188,91016370,91088862,91480985,91560339,91628847,91784789,91931748,91991213,92273453,92507705,92777366,93076240,93267928,93603102,93703757,93744110,93899333,94170189,94568388,94728549,95188373,95331182,95605000,95682797,96045784,96147614,96174137,96369840,96388349,96565720,96885612,97084128,97366910,97709679,97904933,97933526,98516868,98637785,98808782,98823653,98888709,98891093,99383837,99617679,...,1296541306450663680828041817192869819185759937646803311634579931707115717751380600394391657662647611135183848109355580264522277161064283222224525696549624567252920371353361347855452893482624600527440842473632537413019665709554862440419313873329090938822765960086812058827793276103162606412539503064228021493168568112316765968595711917211325032557267906249956791862490097243027373563849163212876619850031399303043387035569118324349851539693799252748649582911818815085492376263112534005077773662444518714633318043002563508613855088156114976985622704266537015760717148310652973511294558433003020144820585518037534411436008614382875736325094346829327910748932501399726622111635256527849995888600425334494077269293909647665965760611856994604156671836675363608651728054887665734428296560279343363090160728466912544946235813777673591081145803109565800593235926963306567416554179834119690156712569312372783636348286461696980463980130166749173611769777959101531712398774707779383694125182105818814806845267373677028177642297386906798695144246059848272100385581538478807407833087641519989490212651598474830062775876079617437097667472162597358357868778419928799331104233897744451155939971114040056093900766441394153924087106134529151356743703438206585572752479067221625919475896286968512504621927253977235182650651868861009384597388505916125368993279546705453352194274958989409587269645683405460578235104708511449503294978268347617578871928373979708875201757432574884061634981547948860231303854720709705591931196028640778296360366716983584592914267635213971196536232028057517234706064195485386076661937808569662602823168332590097270848252782260387591990720350368441681420967443449078040283121872683908295103601711887378978582245985685623944539641671485551016748929279526624132056021745359307902466124542166589738931530569614117274951239479503134233068670060219277185093185808242108536665334597312829460480400015400306978813287888225766861381342647161817314312374925123472322529554398360017363926899596431450920784776862621367238545933563271647969361208858687159631490858688170039941327826317015959414809356900254169917729012001233076445306262034037226691477244133595223294567329843085660637168455683574369497644517738829439106412206205353302446969691738368520032256515936301282142950312974561297191055447804366982054972331439915448793484057944083633790059609757667667311011014343306225464809419031538890500027061302242279005067303201389014772119922757112076607628900464271315039507725427745042929309010228530502402161073308530094482786949875099796147235104181784014468606011494290853249816090553736476444129048794816912559717278355044010858237860234600623036044263700746433574456550764759009272424234359793748129488903097229428014113758019520451152156004760505141486689117610521851290871158411946512131664018820620146760950855450308620861382763778805390865228168229865715745359225072786597309169844584104533802033999186077052653220497457505609038149639124342130331049478716776977906361019565566789187060737780305003643703099197499850865368395556328993403212}
19148  10608410426636122397318835439302733584839935013165233809640480613890498: {133987,191410,229692,267946,382780,459336,516753,1164307,1278427,1506451,1759132,1847947,2252266,2556586,2642251,2784658,4150066,4332451,5208466,5416732,5449485,5812784,6338986,6539382,6564658,6826197,7540906,8126425,8147836,8202909,8541787,8589226,8602012,8663986,8813458,9087907,9311528,9751710,9962812,10401824,10453426,10475469,11136296,11254387,11567146,11568205,11684227,11702052,12180077,12528333,12753787,13073251,13120306,13267858,13489066,13816147,13881846,14004658,14133451,14592946,14886706,14930236,15174165,15710251,16185776,16205458,16752451,16886685,17063707,17176636,17400110,17446186,17457285,17581027,17625052,18012464,18208998,18507667,18621104,18972466,19019947,19168365,19632307,20264022,20308485,20446256,20612438,20880132,20924458,20948742,21051067,21662384,22003858,22155907,22506346,23002038,23152747,23549467,23638881,23794858,24151858,24370182,24748616,24830851,24857300,25433085,26090236,26294251,26498026,26993458,27128624,27260851,27549427,27741451,27842193,28028947,28141525,28220251,28982587,29412165,29446340,29603937,29645851,29828760,30063772,30399547,30519702,30587251,30719146,31055251,31115685,31347346,31372976,31417066,31707427,31817344,32043826,32261212,33138172,33190064,33372669,33557355,33751496,33769830,33847186,34462507,34468906,34648616,35294598,35335608,35502226,35794512,36021152,36189106,36219765,36352507,36708907,36737458,36942826,37338822,37352685,37594867,37967506,37970433,38298451,38393949,38634416,38648626,38979693,39260266,39436293,39599506,39617085,39752559,39802858,39842864,39910917,40037251,40268826,40377477,40523796,41411836,42066200,42258224,42634666,42696776,42762657,43463718,43639186,43839658,43886973,43957361,44010067,44306866,44716805,44823222,44834827,45326227,45737157,45836458,46631146,47027626,47324475,47345827,47441692,47527365,47540502,48033873,48068425,48156501,48929107,49242307,49476451,49553357,49656106,49982866,50435452,50479440,50695856,50765458,50907925,50960746,51112641,51402451,51473685,51714172,51782251,51933667,52180689,52468024,52470056,52517866,52582546,52686427,53060107,53348165,53660166,53679658,53844736,53980149,54390451,54515506,54665877,54687772,54755851,54851565,54905264,55092586,55119451,55264387,55336747,55615285,56056387,56370346,56413507,56607393,56789370,56803132,57006826,57009197,57032838,57122347,57263251,57324466,57378621,57619533,57682110,57958546,58148458,58338226,58508336,59026527,59028813,59205667,59221906,59342251,59546587,59818027,60575328,60892267,60937437,60979858,61089510,61167466,61224187,61415301,61527584,61768422,61891885,62041066,62687836,62792347,62796230,62985451,63197057,63277365,63433507,63814747,63881150,63902506,64017798,64130467,64398765,64686369,64775836,64959285,65078425,65162144,65196946,65749546,65821878,66108451,66441052,66738342,66831187,66890947,67090805,67495856,67946986,68147244,68187451,68189866,68319885,68477251,68692016,68879947,69187016,69218532,69289904,69344092,69460786,69735333,69762346,70183858,70269675,70289347,70664626,70730851,70790510,71213597,71266881,71352093,71438467,71563306,71814451,71981458,72725349,72765067,72874544,73171858,73307412,73466812,74270262,74397451,74546707,74650858,74892451,74954320,74963109,75234667,75355476,75525187,75608585,75717427,75826858,75932838,75996417,76220605,76529386,76657380,76702485,76938907,77030851,77278518,77480417,77576467,77711251,77800747,77835393,77845387,77945885,77951142,77973141,78023227,78094110,79190236,79490685,79596892,79892458,80352106,80472451,80508966,80867986,81376627,81441710,81609437,81724906,81757867,81767872,81815984,81908347,81983862,82389451,82464658,82498747,82643467,82858387,83035507,83175907,83300384,83349787,83647612,83654375,84040061,84323610,84330346,84355267,84442858,84495005,84548587,84790064,84841525,84948612,84989587,85235251,85259836,85452586,85843858,85915867,85923865,86058787,86512786,86531251,86585467,86799451,87008827,87188251,87609307,87669532,87677866,87847267,88078027,88615858,88780906,89027347,89145128,89165458,89237227,89330026,89456251,89491747,89567093,89603986,89664907,89708900,89748787,89798251,89945184,89957485,90005107,90066307,90081427,90148737,90228667,90281510,90327451,90422707,90471925,90482861,90552667,90675427,90730302,90802147,90878251,90913426,90930451,91029451,91297867,91339987,91385851,91445251,91456306,91464726,91507027,91520851,91550587,91573267,91596451,91605307,91660747,91684205,91725896,91988856,92042982,93251836,93330849,93535062,93665386,93712932,94146357,94146706,94679986,94854081,95049165,95263217,95388822,95635858,95741746,95900458,96049457,96574701,96810652,97076109,97374826,97637477,97727528,97730052,97817565,97826885,98159506,98940586,99044458,99096326,99200146,99477165,...,1944811959675995521242062725789304728778639906470204967451869897560673576627070900591587486493971416702775772164033370396783415741596424833336788544824436850879380557030042021783179340223936900791161263710448806119529498564332293660628970809993636408234148940130218088241689914154743909618809254596342032239752852168475148952893567875816987548835901859374935187793735145864541060345773744819314929775047098954565080553353677486524777309540698879122974374367728222628238564394668801007616660493666778071949977064503845262920782632234172465478434056399805523641075722465979460266941837649504530217230878277056301617154012921574313604487641520243991866123398752099589933167452884791774993832900638001741115903940864471498948640917785491906235007755013045412977592082331498601642444840419015044635241092700368817419353720666510386621718704664348700889853890444959851124831269751179535235068853968559175454522429692545470695970195250123760417654666938652297568598162061669075541187773158728222210267901060515542266463446080360198042716369089772408150578372307718211111749631462279984235318977397712245094163814119426155646501208243896037536803167629893198996656350846616676733909956671060084140851149662091230886130659201793727035115555157309878359128718600832438879213844430452768756932890880965852773975977803291514076896082758874188053489919320058180028291412438484114380904468525108190867352657062767174254942467402521426368307892560969563312802636148862326092452472321923290346955782081064558387896794042961167444540550075475376889371401452820956794804348042086275852059096293228079114992906712854493904234752498885145906272379173390581387986080525552662522131451165173617060424682809025862442655402567831068467873368978528435916809462507228326525123393919289936198084032618038961853699186813249884608397295854421175912426859219254701349603005090328915777639778712363162804998001895969244190720600023100460468219931832338650292072013970742725971468562387685208483794331597540026045890349394647176381177165293932050857818900344907471954041813288030739447236288032255059911991739475523939122214035350381254876593518001849614667959393051055840037215866200392834941850994764628490955752683525361554246466776608244158659618309308029953670454537607552780048384773904451923214425469461841945786583171706550473082458497159873173190226086916125450685089414636501500966516521514959338197214128547308335750040591953363418507600954802083522158179884135668114911443350696406972559261588141617564393963515342795753603241609962795141724180424812649694220852656272676021702909017241436279874724135830604714666193573192225368839575917532566016287356790351900934554066395551119650361684826147138513908636351539690622194233354645844142021170637029280676728234007140757712230033676415782776936306737617919768197496028230930220141426283175462931292074145668208086297842252344798573618038837609179895963754766876156800703050998779115578979830746186258413557224458686513195496574218075165466859541529348350183780591106670457505465554648796249776298052593334493490104818}
19149  10650497893885207334454781405763853067073012495246628770986139412989621: {287115,306256,344538,401919,478475,574170,612448,689004,2198915,2638698,3378399,3575627,3834879,4176987,5086186,6225099,6462898,6770915,7265980,7812699,8125098,8147587,8719176,9101596,9508479,9744259,9809073,9846987,10184795,10752515,10937212,11311359,11639410,12221754,12382271,12453515,12883839,12903018,12995979,13002280,13220187,13920370,13967292,14162554,14627565,14944218,15594079,15602736,15680139,15760906,16293466,16609099,16704444,17190179,17350719,17553078,17890474,18342607,18509128,18662795,18954586,19130219,19680459,19901787,20232220,20233599,20624399,20822769,21006987,21150107,21470795,21655039,21885907,21889419,22031315,22100971,22330059,22395354,22399487,22515580,22684931,23249987,23276380,23324314,23737546,24278664,24308187,25557820,25764954,25996499,26100165,26169279,26293618,26437578,27018696,27077980,27313497,27451354,27840176,27905194,27931656,28107706,28458699,28595551,28634507,29041306,29532559,29737546,30249778,30317539,30338779,30396033,30669384,30918657,30935770,31071625,31320198,31383859,31386687,31423113,31518508,32486074,32493576,32612795,32676227,33005787,33759519,33805114,33910780,34078666,34318426,34503057,34862506,35692287,36227787,36555273,36807925,36975946,37122924,37285950,37330271,37359679,37579715,37742218,38736139,38968739,39135354,39216220,39471916,39549106,39568927,39747039,39771680,39807647,40203787,40326515,40490187,40692936,40947826,41112058,41422715,41487580,42189370,42315227,42752698,42998107,43310770,43767226,44169510,44358874,44496892,44743140,45026440,45095658,45779553,45822059,45909521,45911299,46078719,47021019,47059464,47114144,47125599,47220767,47726016,48011314,48042106,48065739,48293020,48391818,49119011,49414787,49685471,49707258,49785096,49803580,50627244,50654745,50770779,50848618,50965018,51170986,51191932,51194794,51703359,51764795,51972924,52221874,52581724,52582750,52822780,52941897,53003412,53111146,53214556,53253339,53370970,53691768,53836636,54031728,54283659,54450751,54828787,55106187,55414239,55416707,55567066,55758419,55833371,56008233,56596459,56951259,57016876,57855346,57951624,57972939,58515964,58890399,58997339,59058874,59302115,59399259,59528699,59704287,59764296,60105514,60403239,60538639,60628666,60785694,60982876,62117754,63044315,63099300,63369820,63387336,63506447,63765226,63951999,63973258,64045164,64208668,64231411,64642715,65195577,65458779,65553466,65585030,65587570,65759487,66246911,66460299,67234833,67305920,67911259,68037178,68150188,68359715,68631580,68754687,69574252,69946719,70148266,70541439,71003915,71162538,71310753,71546888,71588986,71973532,72443299,72821519,72887836,73135420,74032186,74191306,74484159,74858939,74974299,75476524,75653178,75719160,75846271,76043784,76148187,76441119,76504828,76826044,76909480,77571258,78001987,78004799,78359795,78702036,78705084,78776799,78873819,79286539,79531379,80226971,80260159,80490249,80519487,80767104,80969795,81249916,81452680,81773259,81780511,81887068,82031658,82357896,82638879,83051315,83176666,83357387,83638187,84363299,84369820,84555519,85184055,85204698,85236619,85357064,85510239,85511587,85549257,85865020,85986699,86248492,86275871,86483770,86523165,86612380,86680115,86834458,86937819,87222687,87507339,87762504,88712554,88832859,88984456,89247487,90197747,90862992,91093180,91296394,91469787,91482979,91604371,91634265,91698826,91751199,91833515,92291376,92415739,92652633,92787178,92845354,92973019,92980444,93061599,93243226,93692900,93837059,94031754,94194345,95022508,95057099,95136124,95821725,95853759,95912927,96026697,96455674,96967132,97104991,97163754,97438186,97578139,97743216,97795419,98624319,98671679,98732817,98987795,99027016,99496115,99661578,99774251,99950812,...,2917217939513993281863094088683957093167959859705307451177804846341010364940606350887381229740957125054163658246050055595175123612394637250005182817236655276319070835545063032674769010335905351186741895565673209179294247846498440490943456214990454612351223410195327132362534871232115864428213881894513048359629278252712723429340351813725481323253852789062402781690602718796811590518660617228972394662570648431847620830030516229787165964311048318684461561551592333942357846592003201511424990740500167107924965596755767894381173948351258698217651084599708285461613583698969190400412756474256795325846317415584452425731019382361470406731462280365987799185098128149384899751179327187662490749350957002611673855911296707248422961376678237859352511632519568119466388123497247902463667260628522566952861639050553226129030580999765579932578056996523051334780835667439776687246904626769302852603280952838763181783644538818206043955292875185640626482000407978446352897243092503613311781659738092333315401851590773313399695169120540297064074553634658612225867558461577316667624447193419976352978466096568367641245721179139233469751812365844056305204751444839798494984526269925015100864935006590126211276724493136846329195988802690590552673332735964817538693077901248658318820766645679153135399336321448779160963966704937271115344124138311282080234878980087270042437118657726171571356702787662286301028985594150761382413701103782139552461838841454344969203954223293489138678708482884935520433673121596837581845191064441751166810825113213065334057102179231435192206522063129413778088644439842118672489360069281740856352128748327718859408568760085872081979120788328993783197176747760425590637024213538793663983103851746602701810053467792653875214193760842489787685090878934904297126048927058442780548780219874826912595943781631763868640288828882052024404507635493373666459668068544744207497002843953866286080900034650690702329897748507975438108020956114088957202843581527812725691497396310039068835524091970764571765747940898076286728350517361207931062719932046109170854432048382589867987609213285908683321053025571882314890277002774422001939089576583760055823799300589252412776492146942736433629025288042331369700164912366237989427463962044930505681806411329170072577160856677884821638204192762918679874757559825709623687745739809759785339130374188176027634121954752251449774782272439007295821192820962503625060887930045127761401432203125283237269826203502172367165026044610458838892382212426346590945273014193630404862414944192712586270637218974541331278984409014032554363525862154419812086203745907071999290359788338053259363876298849024431035185527851401831099593326679475542527239220707770862954527309535933291350031968766213031755955543921015092351010711136568345050514623674165404460106426879652296244042346395330212139424763194396938111218502312129446763378517197860427058256413769843945632150314235201054576498168673368469746119279387620335836688029769793244861327112748200289312294022525275670886660005686258198331973194374664447078890001740235157227}
19150  10692751139578123993207435191035403241295234522808246112668430299609729: {210529,267974,382820,459384,516807,535892,554509,765560,861255,918672,1033506,1354609,2151181,2328614,2556854,2604781,2831149,3012902,3518264,3621169,3695894,3958047,4407661,4504532,4519729,4743649,5113172,5284502,5302189,5569316,5858929,6524641,6635341,7518349,7629279,7848289,8067889,8300132,8396749,8664902,8943409,9082475,9694347,10356301,10416932,10464481,10833464,10898970,11376995,11625568,11971441,12187647,12677972,13078764,13129316,13652394,13671515,14627341,14837869,15048109,15081812,15362929,15781681,16094989,16195487,16252850,16295672,16405818,17083574,17178452,17204024,17327972,17459115,17626916,18175814,18332631,18475489,18623056,18680689,19192429,19354527,19503420,19702369,19905841,19925624,20007469,20803648,20880555,20906852,20918881,20950938,21243831,21422701,22024909,22272592,22416327,22508774,22524769,23134292,23136410,23368454,23404104,23641359,24210829,24309361,24360154,24440199,25056666,25290275,25507574,26146502,26167789,26240612,26329617,26361901,26535716,26835711,26845921,26978132,27328141,27616609,27632294,27763692,28009316,28144475,28266902,28431879,29095475,29144161,29185892,29773412,29860472,30183661,30348330,31420502,31587121,31947275,32371552,32410916,33504902,33593031,33773370,33847475,34127414,34353272,34708321,34800220,34892372,34914570,34986471,35162054,35250104,35606319,36024928,36237709,36417996,37015334,37242208,37393201,37481581,37944932,38039894,38273761,38336730,38647431,39264614,39320929,39398135,39440427,39656367,40528044,40616970,40872241,40892512,41043169,41177031,41224876,41299021,41760264,41848916,41857791,41897484,42062689,42102134,42161559,42231601,42388475,43322509,43324768,43561959,43821901,43904881,44007716,44311814,44401249,44606319,44812909,45012692,45374667,45630829,45793549,46004076,46305494,46403655,46980297,47084941,47098934,47277762,47484721,47589716,47882701,47962081,48303716,48594529,48729111,48740364,48751921,49020275,49339895,49497232,49534561,49612429,49661702,49714600,50707671,50866170,50925169,51117999,51477639,51859475,52180472,52293759,52588502,52892641,52996052,53041969,53414029,53710381,53986916,54257248,54372961,54521702,55098854,55463919,55482902,55621115,55684386,55752589,55928925,56057894,56254321,56283050,56440502,56613327,56894221,57947761,57965174,58572109,58703031,58824330,58892680,58916449,59053681,59207874,59258989,59291702,59323659,59657520,59667661,59735521,60127544,60366275,60477229,60611149,60744781,60799094,60811489,61039404,61143949,61174502,61408621,61421739,61438292,61668087,62065261,62110502,62231370,62254475,62603527,62694692,62745952,62834132,62908129,63284055,63356941,63414854,63420769,63548209,63634688,63675361,63989915,64087652,64129047,64243981,64522424,64806769,64868941,64966155,64993069,65425249,65650839,65727155,65731789,65853901,66028475,66097261,66157921,66254265,66276344,66380128,66518195,66538311,66745338,67114710,67295795,67502992,67539660,67643487,67694372,67944241,68925014,68937812,69297232,70225201,70502221,70589196,70671216,71004452,71271095,71589024,71646049,72016971,72042304,72063159,72126541,72378212,72439530,72587727,72705014,72862381,73144955,73173421,73417814,73474916,73481869,73838449,73885652,74141281,74191501,74241649,74560887,74590669,74677644,74687431,74705370,74837809,75083149,75189734,75326689,75664621,75935012,75940866,76228595,76272927,76282849,76447527,76596902,76610701,76756479,76787898,76792191,77268832,77297252,77301361,77527981,77861399,77959386,78332811,78520532,78806881,78872586,78874125,79106509,79199012,79212275,79233841,79234170,79505118,79605716,79611949,79666719,79685728,79695181,79821834,79902001,80056455,80074502,80260835,80269741,80537652,80671501,80754954,81047592,81144109,81337969,82169569,82716589,82823672,83142541,83177569,83350599,83626381,83996641,84129121,84132400,84358189,84516448,84519649,84583729,84774241,85055149,85187735,85269332,85269601,85393552,85450609,85525314,85599469,85789475,86092129,86261041,86288941,86427361,86648639,86725549,86783019,86927436,86967815,87092461,87169249,87278372,87445261,87494509,87679316,87773946,87914722,88020134,88176241,88265521,88375501,88588311,88613732,88632109,88797421,88898401,88997581,89433610,89448589,89484301,89572321,89641441,89646444,89669654,89709409,89966915,90031969,90047341,90158271,90226189,90603181,90615601,90652454,90848881,90902701,90942999,91090801,91109089,91109795,91135981,91153549,91170829,91178541,91313389,91348849,91362529,91414369,91419275,91474314,91546669,91555309,91559521,91601101,91610929,91659889,91667629,91670221,91672916,91677709,93176631,93262292,93927127,94055252,94345655,94648950,94690607,94691654,94883384,95054730,95081004,95631035,95647839,95959887,96032555,96067746,96136850,96313002,97858214,98330199,98377545,98381355,98484614,98952902,99106714,99312212,99965732,...,3889623919351991042484125451578609457557279812940409934903739795121347153254141801183174972987942833405551544328066740793566831483192849666673577089648873701758761114060084043566358680447873801582322527420897612239058997128664587321257941619987272816468297880260436176483379828309487819237618509192684064479505704336950297905787135751633975097671803718749870375587470291729082120691547489638629859550094197909130161106707354973049554619081397758245948748735456445256477128789337602015233320987333556143899954129007690525841565264468344930956868112799611047282151444931958920533883675299009060434461756554112603234308025843148627208975283040487983732246797504199179866334905769583549987665801276003482231807881728942997897281835570983812470015510026090825955184164662997203284889680838030089270482185400737634838707441333020773243437409328697401779707780889919702249662539502359070470137707937118350909044859385090941391940390500247520835309333877304595137196324123338151082375546317456444420535802121031084532926892160720396085432738179544816301156744615436422223499262924559968470637954795424490188327628238852311293002416487792075073606335259786397993312701693233353467819913342120168281702299324182461772261318403587454070231110314619756718257437201664877758427688860905537513865781761931705547951955606583028153792165517748376106979838640116360056582824876968228761808937050216381734705314125534348509884934805042852736615785121939126625605272297724652184904944643846580693911564162129116775793588085922334889081100150950753778742802905641913589608696084172551704118192586456158229985813425708987808469504997770291812544758346781162775972161051105325044262902330347234120849365618051724885310805135662136935746737957056871833618925014456653050246787838579872396168065236077923707398373626499769216794591708842351824853718438509402699206010180657831555279557424726325609996003791938488381441200046200920936439863664677300584144027941485451942937124775370416967588663195080052091780698789294352762354330587864101715637800689814943908083626576061478894472576064510119823983478951047878244428070700762509753187036003699229335918786102111680074431732400785669883701989529256981911505367050723108492933553216488317319236618616059907340909075215105560096769547808903846428850938923683891573166343413100946164916994319746346380452173832250901370178829273003001933033043029918676394428257094616671500081183906726837015201909604167044316359768271336229822886701392813945118523176283235128787927030685591507206483219925590283448360849625299388441705312545352043405818034482872559749448271661209429332387146384450737679151835065132032574713580703801869108132791102239300723369652294277027817272703079381244388466709291688284042341274058561353456468014281515424460067352831565553872613475235839536394992056461860440282852566350925862584148291336416172595684504689597147236077675218359791927509533752313601406101997558231157959661492372516827114448917373026390993148436150330933719083058696700367561182213340915010931109297592499552596105186668986980209636}
19151  10735170812010363091132284543407995739307223016522670151453331583333543: {401961,478525,574230,612512,669865,689076,803838,956950,1148340,1224896,1378008,1550259,3078481,3492921,3835281,3996289,4225741,4397830,4519353,5277396,5543841,5630665,6391465,6756798,6961645,7151254,7669758,7926753,8353974,9479281,10172372,10375165,11127721,12383569,12450198,12802009,12925796,12997353,13021165,13541830,14056801,14258713,14531960,14633593,14892889,15053521,15250513,15625398,15847465,16250196,16295174,16348455,16411645,17191981,17434921,17438352,17999041,18203192,18650929,18852265,19016958,19212553,19488518,19618146,19693974,19778701,20369590,20478591,20626561,21380833,21473065,21505030,21568921,21659965,21874424,22033645,22622718,22687309,22818169,23278820,23791513,24249409,24379275,24443508,24608727,24764542,24907030,24995581,25625361,25767678,25806036,25876633,25991958,26004560,26127913,26133565,26440374,26472121,26561161,26880961,27263721,27391969,27789361,27840740,27934584,28325108,28917865,28933741,29052529,29255130,29309053,29888436,30059113,30843841,31188158,31205472,31360278,31392013,31426407,31521812,32054989,32586932,32800765,33169645,33218198,33323281,33408888,33722665,33763161,33840781,34380358,34701438,34704615,34853401,35011645,35052681,35106156,35780948,36482365,36520489,36540231,36685214,37018256,37216765,37325590,37584999,37747369,37909172,38260438,38261361,39219753,39226009,39360918,39803574,40224481,40464440,40467198,40513645,41248798,41448441,41645538,42013974,42300214,42400353,42458161,42941590,43310078,43500275,43615465,43771814,43778838,44062630,44117593,44201942,44660118,44790708,44798974,45031160,45369862,45522495,45657913,46084369,46403401,46499974,46552760,46648628,47045401,47130753,47225761,47293489,47431165,47456041,47475092,47636809,48557328,48616374,48982201,50101249,50257353,50660055,51115640,51191121,51529908,51531095,51992998,52200330,52311145,52338558,52371855,52506529,52587236,52611601,52743081,52875156,54037392,54155960,54626994,54902708,55009645,55501921,55523001,55680352,55806361,55810388,55863312,56215412,56248489,56265865,56457121,56917398,56977741,57059841,57191102,57269014,57505095,57991801,58082612,58119961,58293169,58444201,58719193,58896921,59065118,59475092,59487145,59947513,60100093,60379645,60499556,60635078,60677558,60792066,60925455,61338768,61546621,61641409,61837314,61871540,62143250,62292493,62318233,62640396,62767718,62773374,62846226,63037016,63066121,63153201,64972148,64987152,65041033,65225590,65295361,65352454,65984893,66011574,66245065,66467721,67483645,67519038,67579081,67610228,67821560,68157332,68492569,68636852,69006114,69458241,69702721,69725012,70648401,70916643,71051581,71384574,71691601,71732881,72455574,72470713,72949921,73110546,73615850,73951892,74245848,74492553,74571900,74660542,74719358,75159430,75484436,75614701,75786601,76299255,76797865,77472278,77937478,78270708,78368365,78432440,78542665,78716269,78876361,78882753,78943832,79023241,79098212,79137854,79443181,79494078,79543360,79615294,80109565,80407574,80653030,80980374,81385872,81782553,81850681,81895652,81982333,82224116,82648281,82845430,82975160,83022961,83224353,83526579,83665873,84086841,84270769,84378740,84424575,84617965,84630454,84660753,84915469,85505396,85996214,86172265,86621540,86687689,86947761,87423601,87534452,88236495,88262041,88339020,88619593,88717748,88755565,88811811,88937553,88993784,89486280,89619193,89665453,90052880,90191316,90307129,90444841,90472765,90499801,91198641,91559106,91644118,91761753,91804201,91819042,91822598,91843645,91983841,92157438,92314849,92357065,93087073,93165753,93347055,94042038,94118928,94228288,94251198,94288393,94441534,94721209,94813693,94918765,95122281,95452032,95703601,95824369,96022628,96084212,96131478,96586040,96621565,96783636,97684141,98150665,98238022,98324809,98829574,98998765,99370942,99405481,99414516,99507145,99541033,99570192,99607160,...,5834435879027986563726188177367914186335919719410614902355609692682020729881212701774762459481914250108327316492100111190350247224789274500010365634473310552638141671090126065349538020671810702373483791131346418358588495692996880981886912429980909224702446820390654264725069742464231728856427763789026096719258556505425446858680703627450962646507705578124805563381205437593623181037321234457944789325141296863695241660061032459574331928622096637368923123103184667884715693184006403022849981481000334215849931193511535788762347896702517396435302169199416570923227167397938380800825512948513590651692634831168904851462038764722940813462924560731975598370196256298769799502358654375324981498701914005223347711822593414496845922753356475718705023265039136238932776246994495804927334521257045133905723278101106452258061161999531159865156113993046102669561671334879553374493809253538605705206561905677526363567289077636412087910585750371281252964000815956892705794486185007226623563319476184666630803703181546626799390338241080594128149107269317224451735116923154633335248894386839952705956932193136735282491442358278466939503624731688112610409502889679596989969052539850030201729870013180252422553448986273692658391977605381181105346665471929635077386155802497316637641533291358306270798672642897558321927933409874542230688248276622564160469757960174540084874237315452343142713405575324572602057971188301522764827402207564279104923677682908689938407908446586978277357416965769871040867346243193675163690382128883502333621650226426130668114204358462870384413044126258827556177288879684237344978720138563481712704257496655437718817137520171744163958241576657987566394353495520851181274048427077587327966207703493205403620106935585307750428387521684979575370181757869808594252097854116885561097560439749653825191887563263527737280577657764104048809015270986747332919336137089488414994005687907732572161800069301381404659795497015950876216041912228177914405687163055625451382994792620078137671048183941529143531495881796152573456701034722415862125439864092218341708864096765179735975218426571817366642106051143764629780554005548844003878179153167520111647598601178504825552984293885472867258050576084662739400329824732475978854927924089861011363612822658340145154321713355769643276408385525837359749515119651419247375491479619519570678260748376352055268243909504502899549564544878014591642385641925007250121775860090255522802864406250566474539652407004344734330052089220917677784764424852693181890546028387260809724829888385425172541274437949082662557968818028065108727051724308839624172407491814143998580719576676106518727752597698048862070371055702803662199186653358951085054478441415541725909054619071866582700063937532426063511911087842030184702021422273136690101029247348330808920212853759304592488084692790660424278849526388793876222437004624258893526757034395720854116512827539687891264300628470402109152996337346736939492238558775240671673376059539586489722654225496400578624588045050551341773320011372516396663946388749328894157780003480470314454}
19152  10777757561994423587228971016157753742183729407964758555316302153567118: {210551,248807,421058,535948,592751,765640,861345,918768,1033614,1071784,1109018,1205757,1354751,1392767,1435425,1506767,1531120,1582727,1722510,1837344,1924151,2067012,2642807,2709218,2869151,3283367,3396167,3659087,4302362,4408127,4520207,4557551,4657228,5113708,5209562,5339927,5525687,5662298,5896607,6025804,6562247,6596745,6746687,7036528,7114967,7242338,7391788,7665887,7885751,7916094,8105327,8215007,8616551,8815322,9009064,9039458,9162551,9487298,10135197,10226344,10569004,10573727,10604378,10726881,11113247,11138632,11364407,11504637,11686751,11717858,12186887,12530961,12715465,12756551,12934151,13049282,13076087,13253327,13270682,13607207,13819151,14206967,14874551,15036698,15084767,15258558,15364607,15696578,15783407,15927793,16131527,16135778,16157245,16600264,16756127,16793498,16929167,17136551,17329804,17343647,17653751,17860127,17886818,18164950,18306287,18477527,18511751,18675297,18682751,18716927,19140121,19228607,19388694,19704551,19738487,19908047,20009687,20312745,20712602,20833864,20921207,20928962,21055751,21223751,21425087,21666928,21760007,21797940,21927167,22027367,22060751,22360847,22753990,23025407,23224151,23251136,23438097,23942882,24213551,24375294,24442761,25228367,25355944,25489007,26008751,26157528,26203127,26258632,26364887,27170687,27304788,27331247,27343030,27619751,27747767,27811727,28099151,28290407,28525437,29084207,29098525,29179127,29232777,29254682,29427219,29540961,29675738,29810087,29998751,30096218,30163624,30187127,30554385,30594287,30725858,31249151,31404551,31563362,31714751,32178551,32189978,32257545,32390974,32505700,32591344,32811636,32978207,33528647,33934077,34167148,34197887,34356904,34408048,34655944,34742567,34800925,34918230,35104247,35253832,35406385,35794247,35973551,36271751,36351628,36420551,36665262,36950978,37146813,37246112,37360545,37361378,37603751,38044151,38307527,38365967,38384858,38482751,38651517,38709054,38890487,38987937,39006840,39354551,39402265,39404738,39660561,39811682,39851248,40014938,40046807,40104287,40362551,40534367,40733665,41048087,41607296,41672447,41761110,41813704,41837762,41901876,41926751,42321047,42487662,42741767,42845402,42909551,43494527,43854887,43882695,44020751,44049818,44406647,44545184,44681327,44726185,44832654,44845751,44982551,45017548,45049538,45636407,45663551,45826247,46042727,46231727,46268584,46272820,46474151,46736908,46782237,46808208,46849967,47040417,47170847,47282718,47386465,47968007,48047327,48421658,48600551,48618722,48720308,48880398,48993551,49098047,49254551,49488767,49540727,49618607,49827297,50006927,50113332,50580550,50803751,51015148,51415367,51570537,51694151,51946751,52052157,52293004,52335578,52481224,52659234,52674767,52723802,52849487,53071432,53073551,53445551,53671422,53691842,53717207,53956264,54404327,54656282,54672551,54915551,55027821,55157389,55181927,55233218,55264588,55527384,55639751,55783727,55903487,55988385,56018632,56288950,56533804,56688887,56863758,57066551,57184151,57278087,57390657,57629207,57885551,57978527,58094567,58190950,58256687,58288322,58310785,58371784,58372247,58579751,58602767,58717727,58947047,59041377,59061407,59266751,59343865,59357807,59546824,59607551,59698127,59705361,59720944,60367322,60641447,60696660,60700797,60752807,60841751,61174151,61482767,61614551,61702247,61873197,62138807,62468307,62809151,62841004,63020961,63109367,63174242,63450321,63450551,63577967,63683927,63894550,64273607,64412385,64628567,64743104,64821832,64965117,65125751,65657721,65668257,65734045,65761127,66065807,66093945,66126527,66166967,66302913,66549551,66849551,66969047,66990177,67009804,67186062,67198461,67424447,67546740,67562207,67660367,67694950,67836551,67953647,68054793,68128751,68206367,68245127,68254828,68419151,68628385,68706544,68726927,69075853,69184751,69416642,69562751,69600440,69749961,69762985,69784744,69829140,69862847,69918887,69972942,70123751,70269265,70324108,70500208,70695887,70750847,70787447,70842287,71212638,71494751,71674151,71834927,72049856,72136847,72454007,72475418,72603265,72820751,72835992,72924561,73183967,73235567,73611767,74030668,74202287,74343865,74484416,74518751,74601551,74618087,74786402,74848751,74947127,74963162,75110447,75240527,75624445,75889864,76079788,76199807,76309847,76544327,76547522,76591007,76673460,76684151,76761551,76992551,77294862,77339425,77539607,77599751,77734607,77764487,77869561,77898551,77989497,78208847,78300495,78355367,78507837,78529228,78641858,78775751,78796270,78880854,79217687,79288247,79312734,79540607,79914287,79969151,80119367,80295647,80376551,80497367,80723807,80961047,81039551,81056088,81117767,81156767,81215185,81233940,81247487,81312047,81363551,81542807,81744482,81785024,81921647,81940491,82086338,82120751,82354062,82449752,82549151,82598042,82621607,82657727,82837247,83202551,83272367,83307167,83434151,83520528,83537327,83697832,83715582,83775551,83794968,83876567,84120767,84125378,84153767,84204268,84323118,84339407,84382751,84447527,84463202,84512785,84533447,84597551,84776950,84798647,85017551,85196665,85263407,85283687,85376097,85464767,85584047,85613687,85786653,85796065,85903521,86021087,86106551,86116007,86144327,86191367,86256887,86614751,86645018,86649536,86659751,86749151,86828927,87107327,87123918,87156265,87184151,87631487,87643802,87687767,87807047,87809762,87986447,88015432,88063127,88108751,88332551,88376447,88398287,88597677,88623628,88626767,88689551,88731047,88799567,88802498,88819967,88894151,89193887,89212638,89337407,89398487,89428727,89464751,89500487,89585881,89625818,89748167,89922887,89975807,89991527,90025384,90048551,90053687,90204047,90228407,90361127,90370367,90384167,90416087,90456551,90544151,90569807,90586751,90624407,90673607,90749334,90791567,90913007,90920087,90930647,90952617,90965327,91016337,91022447,91035551,91070927,91126727,91129751,91144751,91156607,91171247,91188099,91191407,91233287,91261658,91281167,91296551,91333751,91369151,91380551,91382807,91413551,91422047,91432487,91464551,91560647,91573751,91587098,91612751,91619687,91633727,91635767,91644551,91648247,91657751,91669847,91673207,91675127,91678751,91679327,91687007,91689167,91692551,91696751,91697927,91698407,91699151,92008152,92018017,92439865,92610988,92755971,92807310,93125473,93214875,93960594,94151577,94160061,94169882,94197868,94214113,94269339,94355545,94555524,94969442,95179432,95765402,95924162,96607432,97189058,97458222,97480728,97503842,97838385,98028681,98040550,98679790,98872765,98994464,99017361,99069122,99224858,99309661,99323404,99429200,99779533,...,8751653818541979845589282266051871279503879579115922353533414539023031094821819052662143689222871375162490974738150166785525370837183911750015548451709965828957212506635189098024307031007716053560225686697019627537882743539495321472830368644971363837053670230585981397087604613696347593284641645683539145078887834758138170288021055441176443969761558367187208345071808156390434771555981851686917183987711945295542862490091548689361497892933144956053384684654777001827073539776009604534274972221500501323774896790267303683143521845053776094652953253799124856384840751096907571201238269422770385977538952246753357277193058147084411220194386841097963397555294384448154699253537981562987472248052871007835021567733890121745268884130034713578057534897558704358399164370491743707391001781885567700858584917151659678387091742999296739797734170989569154004342507002319330061740713880307908557809842858516289545350933616454618131865878625556921879446001223935339058691729277510839935344979214276999946205554772319940199085507361620891192223660903975836677602675384731950002873341580259929058935398289705102923737163537417700409255437097532168915614254334519395484953578809775045302594805019770378633830173479410538987587966408071771658019998207894452616079233703745974956462299937037459406198008964346337482891900114811813346032372414933846240704636940261810127311355973178514714070108362986858903086956782452284147241103311346418657385516524363034907611862669880467416036125448654806561301019364790512745535573193325253500432475339639196002171306537694305576619566189388241334265933319526356017468080207845222569056386244983156578225706280257616245937362364986981349591530243281276771911072640616380991949311555239808105430160403377961625642581282527469363055272636804712891378146781175328341646340659624480737787831344895291605920866486646156073213522906480120999379004205634232622491008531861598858242700103952072106989693245523926314324062868342266871608530744583438177074492188930117206506572275912293715297243822694228860185051552083623793188159796138327512563296145147769603962827639857726049963159076715646944670831008323266005817268729751280167471397901767757238329476440828209300887075864126994109100494737098713968282391886134791517045419233987510217731482570033654464914612578288756039624272679477128871063237219429279356017391122564528082902365864256754349324346817317021887463578462887510875182663790135383284204296609375849711809478610506517101495078133831376516677146637279039772835819042580891214587244832578137758811911656923623993836953227042097663090577586463259436258611237721215997871079365014159778091628896547073293105556583554205493298779980038426627581717662123312588863581928607799874050095906298639095267866631763045277053032133409705035151543871022496213380319280638956888732127039185990636418274289583190814333655506936388340290135551593581281174769241309531836896450942705603163729494506020105409238357838162861007510064089309379734583981338244600867936882067575827012659980017058774594995919583123993341236670005220705471681}
19153  10820512042869514656307676722785747562707434404840431667943345798988845: {631587,669935,803922,937811,957050,1148460,1225024,1339730,1378152,1550421,1607676,1663527,1913900,2296680,2449792,2583765,2756016,3100518,4063827,4722887,5821535,6156962,6392135,6453543,6985842,7532255,7670562,7814343,7882931,7992578,8451482,8493447,8795660,8948051,9038706,9239735,9746303,10554792,10863507,11087682,11261330,11874141,12782930,12803351,13150943,13211255,13222983,13513596,13559187,13923290,14230947,14302508,14525231,14635127,15129647,15312407,15339516,15853506,15906567,16612583,16707948,17044691,17576787,17600687,18229631,18877043,18958562,19214567,19573923,19906023,20344744,20480351,20750330,21662255,21719591,22042007,22105607,22186451,22255442,22555047,22887837,22976303,23544867,23794007,24203667,24251951,24767138,24900396,25190247,25432307,25490543,25604018,25851592,25994706,26042330,26119151,26393171,26753807,26830227,26966927,27083660,27247425,28113602,28517426,29063920,29083041,29267186,29785778,30043427,30062291,30107042,30323951,30345143,30501026,30847103,31068903,31250796,31330367,31390463,31393443,31694930,32372327,32500392,32590348,32696910,32823290,33160991,33618647,34029347,34130985,34334807,34383962,34615667,34869842,34876704,35085191,35914323,35998082,36406384,36562941,36586991,37243667,37301858,37704530,38033916,38425106,38977036,39236292,39387948,39557402,40330967,40485011,40632125,40739180,40957182,41014545,41040431,41190383,41253122,41931251,42708935,42761666,42946130,43010060,43137842,43319930,43748848,43882023,44067290,44513607,44610527,45144327,45245436,45374618,45439535,45636338,45921071,46088787,46408307,46437503,46557640,47211731,47345043,47538023,47583026,47641847,47646551,48284967,48332387,48498818,48586461,48758550,48887016,49016303,49217454,49529084,49814060,49991162,50654951,51075311,51250722,51535356,51612072,51753266,51983916,52009120,52103471,52255826,52267130,52377345,52574183,52880748,52944242,53122322,53761922,54527442,54783938,54840383,54997893,55426467,55578722,55645151,55681480,55812263,55869168,56042067,56271935,56298047,56650216,56719103,57577287,57835730,57841025,57867482,58063581,58105058,58421135,58510260,58618106,58708067,59107107,59210567,59717523,59757143,59776872,60022407,60118226,60900385,61061651,61687682,62376316,62410944,62641665,62720556,62756643,62784026,62852814,63043624,63731493,63768935,64109978,64244927,64268103,64648307,65173864,65366255,65601530,65914067,66074727,66339290,66403631,66436396,66475487,66588527,66646562,66817776,67248981,67445330,67526322,67574307,67681562,68511503,68760716,68891927,69080735,69402876,69409230,69706802,70023290,70105362,70212312,70667255,70814351,70924077,71561896,71699183,72143533,72146327,72458543,72632487,72928083,72964730,73040978,73080462,73235603,73320597,73370428,74036512,74433530,74651180,75169998,75256631,75494738,75818344,75870825,76520876,76522722,77013503,78439506,78452018,78503367,78551255,78721836,78772211,78988851,79085703,79303223,79607148,80125907,80275007,80448962,80507133,80537763,80928880,80934396,81027290,81984423,82375943,82497596,82556087,82849827,82896882,83082767,83282003,83291076,83762255,84027948,84433425,84531503,84600428,84775223,84800706,84916322,85295637,85318535,85883180,86213543,86620156,86662031,87000550,87230930,87286425,87432483,87543628,87557676,87636287,87905135,88125260,88235186,88403884,88807031,89057687,89320236,89565983,89581416,89597948,90062320,90550983,90739724,91044990,91315826,91623647,91813907,92168738,92538335,92743091,92806802,92992583,92999948,93105520,93297256,93391103,94090802,94261506,94451522,94477103,94586978,94761363,94862330,94912082,94950184,95099735,95132147,95273618,95799827,95841825,96204551,96242567,96732623,97114656,97232748,97964402,98161535,98523647,99592727,...,11668871758055973127452376354735828372671839438821229804711219385364041459762425403549524918963828500216654632984200222380700494449578549000020731268946621105276283342180252130699076041343621404746967582262692836717176991385993761963773824859961818449404893640781308529450139484928463457712855527578052193438517113010850893717361407254901925293015411156249611126762410875187246362074642468915889578650282593727390483320122064919148663857244193274737846246206369335769431386368012806045699962962000668431699862387023071577524695793405034792870604338398833141846454334795876761601651025897027181303385269662337809702924077529445881626925849121463951196740392512597539599004717308750649962997403828010446695423645186828993691845506712951437410046530078272477865552493988991609854669042514090267811446556202212904516122323999062319730312227986092205339123342669759106748987618507077211410413123811355052727134578155272824175821171500742562505928001631913785411588972370014453247126638952369333261607406363093253598780676482161188256298214538634448903470233846309266670497788773679905411913864386273470564982884716556933879007249463376225220819005779359193979938105079700060403459740026360504845106897972547385316783955210762362210693330943859270154772311604994633275283066582716612541597345285795116643855866819749084461376496553245128320939515920349080169748474630904686285426811150649145204115942376603045529654804415128558209847355365817379876815816893173956554714833931539742081734692486387350327380764257767004667243300452852261336228408716925740768826088252517655112354577759368474689957440277126963425408514993310875437634275040343488327916483153315975132788706991041702362548096854155174655932415406986410807240213871170615500856775043369959150740363515739617188504195708233771122195120879499307650383775126527055474561155315528208097618030541973494665838672274178976829988011375815465144323600138602762809319590994031901752432083824456355828811374326111250902765989585240156275342096367883058287062991763592305146913402069444831724250879728184436683417728193530359471950436853143634733284212102287529259561108011097688007756358306335040223295197202357009651105968587770945734516101152169325478800659649464951957709855848179722022727225645316680290308643426711539286552816771051674719499030239302838494750982959239039141356521496752704110536487819009005799099129089756029183284771283850014500243551720180511045605728812501132949079304814008689468660104178441835355569528849705386363781092056774521619449659776770850345082548875898165325115937636056130217454103448617679248344814983628287997161439153352213037455505195396097724140742111405607324398373306717902170108956882831083451818109238143733165400127875064852127023822175684060369404042844546273380202058494696661617840425707518609184976169385581320848557699052777587752444874009248517787053514068791441708233025655079375782528601256940804218305992674693473878984477117550481343346752119079172979445308450992801157249176090101102683546640022745032793327892777498657788315560006960940628908}
19154  10863434910511294790944399170581903664580854186640699731697608056973151: {248833,421102,497614,842116,1071896,1185502,1205883,1278829,1392913,1435575,1531280,1722690,1837536,1962253,2009595,2067228,2143568,2218036,2392375,2411514,2709502,2785534,2870850,3013534,3062240,3165454,3434113,3445020,3674688,3848302,4134024,4558033,4650777,5285614,5418436,5738302,6566734,6792334,6894829,7318174,7446529,8604724,8653933,8816254,9040414,9115102,9235443,9314456,10227416,10419124,10478763,10610893,10679854,10994575,11051374,11150353,11324596,11365633,11505843,11688013,11793214,11988867,12051608,12223873,12437713,12677223,13124494,13193490,13396429,13493374,13558059,13926529,14073056,14229934,14454829,14484676,14783576,15331774,15610753,15771502,15832188,16210654,16430014,16631523,16891995,17069329,17233102,17630644,17801651,17878135,18018128,18078916,18325102,18513793,18718993,18974596,19174395,19740673,20270394,20452688,20884935,21138008,21147454,21208756,21453762,22063213,22226494,22277264,22620143,22728814,23009274,23061133,23259853,23373502,23435716,23656429,23780259,24373774,25061922,25430930,25450051,25513102,25622029,25868302,26011693,26098564,26152174,26506654,26541364,26980813,27214414,27638302,28413934,28437843,28992529,29087533,29749102,30033613,30073396,30169534,30503953,30517116,30729214,30878929,31125495,31393156,31566814,31855586,32182273,32263054,32271556,32314490,33200528,33383163,33512254,33563053,33586996,33854575,33858334,34110829,34273102,34565329,34659608,34687294,35307502,35720254,35773636,36007633,36329900,36454573,36612574,36721873,36955054,37023502,37150707,37350594,37365502,37433854,38048653,38280242,38406027,38457214,38777388,38924173,38992059,39063495,39409102,39476974,39816094,40019374,40625490,40737935,41425204,41667728,41677453,41842414,41857924,41931793,42111502,42170403,42354253,42447502,42776139,42850174,42942673,43333856,43520014,43595880,43854334,43900779,44054734,44108929,44121502,44522029,44678667,44721694,45160563,45507980,45669133,45751539,46050814,46448302,46502272,46876194,46962829,47542395,47885764,48079693,48427102,48721295,48750588,48885522,49045365,49234935,49338829,49568939,50038993,50456734,50579533,50711888,50810113,50923975,50978014,51269329,51575943,51725953,52017502,52304763,52315056,52406254,52517264,52706413,52729774,53762575,53997123,54341374,54609576,54662494,54686060,54922573,55163171,55239502,55358029,55495534,55623454,55646893,55952787,56149633,56198302,56506573,56556795,56580814,57027131,57050874,57496429,57637659,58168414,58197050,58264273,58358254,58465554,58509364,58610413,58854438,58886029,59081922,59228929,59336103,59351476,59620174,59997502,60192436,60246829,60327248,60374254,61108770,61188574,61435773,61451716,61644673,61879683,61911355,62267575,62498302,62616659,62809102,63126724,63139213,63429502,64142499,64156429,64357102,64379956,64419195,64470529,64515090,64706763,64781948,64979895,65011400,65155213,65182688,65340433,65623272,65956414,66100935,66341051,66558673,66858733,66918529,66978253,67057294,67156993,67453453,67868154,68061927,68157613,68334296,68395774,68454507,68713808,68816096,69023233,69194413,69311888,69478273,69485134,69601850,69836460,69872653,70152193,70208494,70374529,70507664,70812770,70870573,71374539,71588494,71947102,72543502,72703256,72748227,72841102,72848593,73137825,73263313,73330524,73622413,73826029,73826181,73901956,74293626,74492224,74529613,74628973,74721090,74722756,74986743,75207502,75267793,75316429,75558529,75606733,76088302,76226833,76615054,76731934,76769716,76876083,76965502,76973329,77019373,77303034,77418108,77629899,77656429,77780974,77880529,77970395,77975874,78013680,78383739,78400695,78709102,78804530,78809476,78974029,79321122,79416363,79566733,79623364,79683483,79702496,79774993,79981453,80029876,80093614,80208574,80630029,80642883,80725102,80986753,81068734,81453313,81467330,81606529,81635099,81791163,81947053,82096174,82175907,82574353,82682893,82718929,82898029,83045495,83075329,83081411,83214592,83344894,83368083,83459053,83522220,83627408,83630593,83675524,83800333,83803752,83853502,83901313,84642094,84975324,85031533,85062529,85368529,85483534,85690804,85819102,85950895,86130433,86629393,86683393,86753595,86801223,86989054,87027373,87157587,87308929,87557329,87654673,87709774,87765390,87822253,87927159,88041502,88099636,88146829,88259329,88794829,88813294,89090368,89209873,89362654,89452370,89665308,89691502,89713873,89730829,89965102,89992333,90035096,90054829,90070273,90099076,90131329,90177339,90405613,90432973,90486829,90616429,90808813,90842833,90908929,91147393,91242829,91272814,91327102,91400833,91433773,91562113,91566829,91632493,91652494,91661329,91664173,91694593,91698193,91713035,91714573,92027663,92085454,92463454,92531523,92537168,92545640,92948302,93313975,93473816,93564474,93616416,93699934,94080834,94176039,94279221,94341694,94565436,94772930,95651095,95936014,96079739,96094654,96164967,96843316,97201102,97237444,97440616,97668179,97760796,97987102,98196094,98376971,98402295,98509102,98977534,99081454,99237214,99508935,99654594,99969843,...,17503307637083959691178564532103742559007759158231844707066829078046062189643638105324287378445742750324981949476300333571050741674367823500031096903419931657914425013270378196048614062015432107120451373394039255075765487078990642945660737289942727674107340461171962794175209227392695186569283291367078290157775669516276340576042110882352887939523116734374416690143616312780869543111963703373834367975423890591085724980183097378722995785866289912106769369309554003654147079552019209068549944443001002647549793580534607366287043690107552189305906507598249712769681502193815142402476538845540771955077904493506714554386116294168822440388773682195926795110588768896309398507075963125974944496105742015670043135467780243490537768260069427156115069795117408716798328740983487414782003563771135401717169834303319356774183485998593479595468341979138308008685014004638660123481427760615817115619685717032579090701867232909236263731757251113843758892002447870678117383458555021679870689958428553999892411109544639880398171014723241782384447321807951673355205350769463900005746683160519858117870796579410205847474327074835400818510874195064337831228508669038790969907157619550090605189610039540757267660346958821077975175932816143543316039996415788905232158467407491949912924599874074918812396017928692674965783800229623626692064744829867692481409273880523620254622711946357029428140216725973717806173913564904568294482206622692837314771033048726069815223725339760934832072250897309613122602038729581025491071146386650507000864950679278392004342613075388611153239132378776482668531866639052712034936160415690445138112772489966313156451412560515232491874724729973962699183060486562553543822145281232761983898623110479616210860320806755923251285162565054938726110545273609425782756293562350656683292681319248961475575662689790583211841732973292312146427045812960241998758008411268465244982017063723197716485400207904144213979386491047852628648125736684533743217061489166876354148984377860234413013144551824587430594487645388457720370103104167247586376319592276655025126592290295539207925655279715452099926318153431293889341662016646532011634537459502560334942795803535514476658952881656418601774151728253988218200989474197427936564783772269583034090838467975020435462965140067308929829225156577512079248545358954257742126474438858558712034782245129056165804731728513508698648693634634043774927156925775021750365327580270766568408593218751699423618957221013034202990156267662753033354293274558079545671638085161782429174489665156275517623823313847247987673906454084195326181155172926518872517222475442431995742158730028319556183257793094146586211113167108410986597559960076853255163435324246625177727163857215599748100191812597278190535733263526090554106064266819410070303087742044992426760638561277913777464254078371981272836548579166381628667311013872776680580271103187162562349538482619063673792901885411206327458989012040210818476715676325722015020128178618759469167962676489201735873764135151654025319960034117549189991839166247986682473340010441410943362}
19155  10906526823341648172081234675477794024474555575787276232601727851138990: {631653,746421,937909,1052645,1263174,1339870,1607844,1778253,1875622,1914100,2296920,2450048,2584035,2679460,2756304,2772545,3100842,3215352,3327054,3617271,3827800,4064253,4178301,4306275,4520301,4593360,4748181,4837613,4899584,5167530,5512032,5525969,5772453,6201036,6773045,7928421,8127654,8150149,8607453,8948989,9445774,9850101,10188501,10545157,10755905,10977261,11643070,12313924,12784270,12907086,12935629,13023905,13224381,13560621,13672653,13971684,14155745,14896013,15064510,15131233,15341124,15628686,15765862,15985156,16019781,16577061,16902964,16986894,17591320,17689821,17896102,18077412,18096481,18105845,18479470,18495757,19136237,19492606,19686741,19790235,20240061,21109584,21344901,21727014,21892789,22038305,22175364,22406549,22522660,22598645,22997661,23257301,23655533,23657253,23718245,23748282,24274837,24315981,24645021,25434973,25565860,25606702,25849653,25882061,26004677,26121889,26301886,26422510,26445966,26510945,27027192,27118374,27397733,27487653,27846580,28461894,28605016,29050462,29270254,29294645,29315201,30259294,30327157,30405591,30624814,30679032,31707012,31721181,31813134,32061713,32180643,32623205,32686529,33176705,33225166,33339741,33415896,34089382,34093221,34513911,34617389,35060253,35153574,35201374,35258581,36459262,36560661,37591745,37592883,37754086,37917124,38146395,38269653,38429134,38802453,39147846,39228261,39241445,39759981,39812046,40216501,40339445,40689488,40821621,40960702,41058149,41457453,41500660,41983745,42620901,43112413,43324510,43439182,44084014,44209013,44211214,44253329,44372902,44510884,44623653,44717045,45110094,45254301,45412375,45775674,45868717,45952606,46093821,47089734,47227429,47235749,47350221,47588014,47783379,48394581,48407334,48468893,48471735,48503902,49134497,49534276,49800792,49970773,50268381,50380494,50787501,50864614,50981086,51208036,51409653,51703184,51781505,51989412,52030941,52084660,52238302,52322405,52786342,52961253,53507614,53580381,53660454,53933854,54167320,54494850,54846181,54918861,55432581,55535253,56025891,56048253,56150781,56227204,56304001,56614357,56884975,57034852,57250013,57420363,57685821,57692237,58127840,58166082,58534372,58759381,59113653,59215461,59571556,59724141,59792509,59857205,60029061,60086854,60124582,60214084,60647902,60690286,60938235,61002052,61520909,61694206,62137806,62305601,62501592,62660734,62763621,62780926,62786886,63167253,63389860,63526469,63615349,63671253,64275261,64744654,64762493,65000784,65180696,65280021,65393820,65646580,65781501,66082101,66182253,66267797,66321982,67082541,67237294,68058694,68261970,68357575,68669614,68767924,69076221,69231334,69382261,69672453,69739684,69753408,70170382,70314291,71613653,71748149,71828646,71996164,72640653,72812768,72977549,73125882,73136705,73173982,73328283,74189345,74487334,74603716,75240545,75409060,75437861,75685101,76067832,76467021,76663297,76786637,76814645,76850212,77954072,78026253,78472584,78609381,78732833,78775896,78780709,78908405,79094661,79114804,80134381,80474945,80661934,80970022,80977435,81264250,81478360,81512061,81789589,81914364,81993741,82029090,82080862,82380766,82506244,82675373,82859253,83243301,83435181,83862502,84190861,84297453,84871221,85260539,85263841,85417870,85523332,85576311,85892260,86020120,86275684,86287937,86639860,87252621,87295575,87497696,87537381,87698331,87764046,88031633,88134580,88281657,88622883,88718333,88812613,89027214,89221054,89276509,89430261,89684321,89996253,90288654,90490872,90561381,90749236,90879070,91129973,91272676,91512757,91663155,91782861,91818437,91842142,92177574,92377445,92816614,92875006,93106661,93115280,93403445,93747453,94213653,94423462,94690086,95076046,95144253,95166052,95283694,95293102,95556029,95844533,95962145,96535653,96569934,96664774,96713029,96772635,96997636,97172922,97517100,97608997,97774032,98032606,98353877,98434908,98511845,98934157,98934621,99058168,99254917,99529205,99628120,99982324,...,26254961455625939536767846798155613838511638737347767060600243617069093284465457157986431067668614125487472924214450500356576112511551735250046645355129897486871637519905567294072921093023148160680677060091058882613648230618485964418491105934914091511161010691757944191262813841089042779853924937050617435236663504274414510864063166323529331909284675101561625035215424469171304314667945555060751551963135835886628587470274646068084493678799434868160154053964331005481220619328028813602824916664501503971324690370801911049430565535161328283958859761397374569154522253290722713603714808268311157932616856740260071831579174441253233660583160523293890192665883153344464097760613944688962416744158613023505064703201670365235806652390104140734172604692676113075197493111475231122173005345656703102575754751454979035161275228997890219393202512968707462013027521006957990185222141640923725673429528575548868636052800849363854395597635876670765638338003671806017176075187832532519806034937642830999838616664316959820597256522084862673576670982711927510032808026154195850008620024740779787176806194869115308771211490612253101227766311292596506746842763003558186454860736429325135907784415059311135901490520438231616962763899224215314974059994623683357848237701111237924869386899811112378218594026893039012448675700344435440038097117244801538722113910820785430381934067919535544142210325088960576709260870347356852441723309934039255972156549573089104722835588009641402248108376345964419683903058094371538236606719579975760501297426018917588006513919613082916729858698568164724002797799958579068052404240623535667707169158734949469734677118840772848737812087094960944048774590729843830315733217921849142975847934665719424316290481210133884876927743847582408089165817910414138674134440343525985024939021978873442213363494034685874817762599459938468219640568719440362998137012616902697867473025595584796574728100311856216320969079736571778942972188605026800614825592233750314531223476566790351619519716827736881145891731468082686580555154656250871379564479388414982537689888435443308811888482919573178149889477230146940834012493024969798017451806189253840502414193705303271714988429322484627902661227592380982327301484211296141904847175658404374551136257701962530653194447710100963394743837734866268118872818038431386613189711658287838068052173367693584248707097592770263047973040451951065662390735388662532625547991370406149852612889828127549135428435831519551304485234401494129550031439911837119318507457127742673643761734497734413276435734970770871981510859681126292989271732759389778308775833713163647993613238095042479334274886689641219879316669750662616479896339940115279882745152986369937766590745785823399622150287718895917285803599895289135831159096400229115105454631613067488640140957841916870666196381117557971909254822868749572443000966520809165020870406654780743843524307723928595510689352828116809491188483518060316227715073514488583022530192267928139203751944014733802603810646202727481037979940051176323784987758749371980023710010015662116415043}
19156  10949788442338498449859829597253406119209334360270979485351110945031932: {325363,497666,842204,995228,1583059,1684232,1894761,2009805,2143792,2371004,2392625,2411766,2557658,2785826,2813433,2871150,3062560,3349325,3445380,3675072,3734923,3924506,4019190,4134456,4287136,4436072,4521163,4651263,4784750,4823028,4857043,4990581,5419004,5571068,5741700,5971963,6027068,6124480,6330908,6637459,6748123,6868226,6890040,7190059,7349376,7696604,7751295,8268048,8289859,9116066,9301554,10467859,10571228,10576003,10836872,11438563,11476604,12082459,12191481,13133468,13584668,13680859,13789658,14168661,14636348,14893058,15158083,15392405,16204603,17209448,17307866,17464605,17632508,18080828,18230204,18378859,18470886,18628912,19176405,19360629,19810723,19981445,20014123,20454832,20838248,20957526,21128705,21221786,21359708,21831763,21989150,22102748,22300706,22596765,22649192,22731266,23011686,23376026,23443029,23527003,23586428,23648793,23977734,24103216,24317563,24416059,24447746,24875426,25005523,25029389,25299283,25354446,25480341,26248988,26273803,26386980,26467843,26792858,26844153,26986748,27116118,27433723,27719205,27818059,27853058,28146112,28153325,28459868,28678603,28909658,28969352,29154163,29238909,29567152,30077333,30663548,31221506,31543004,31598059,31664376,31957325,32421308,32590521,32860028,33263046,33536443,33783990,33902059,34138658,34266523,34466204,34808225,34901563,35261288,35262859,35603302,35622423,35756270,36036256,36157832,36250483,36650204,37027586,37437986,37494859,37949192,38287363,38348790,38375059,38410053,39248059,39452829,39481346,39633765,39668949,40113859,40540788,40677561,40905376,41769870,42276016,42294908,42331243,42417512,42692841,42907524,43171123,43575693,43905381,43920859,44126426,44452988,44554528,44829283,45240286,45388941,45457628,45937221,46018548,46122266,46297003,46519706,46747004,46871432,47182459,47312858,47396405,47502283,47560518,47661763,47719701,47979859,48059203,48747548,49553059,49630963,49837749,50123844,50861860,50900102,51026204,51134073,51244058,51736604,51875825,52023386,52197128,52304348,52730361,52802061,52912723,53013308,53062123,53082728,53434363,53656843,53961626,54428828,54688893,55123483,55276604,55638605,56631129,56703523,56827868,56875686,57033109,57643701,57985058,58109683,58175066,58318123,58721769,59498204,59718069,59759059,59826883,60067226,60146792,60339068,60702043,60835603,61007906,61034232,61168243,61433059,61441053,61458428,61499083,61757858,61917845,62155363,62250990,62786312,62997763,63133628,63446323,63711172,63764563,64010045,64364546,64526108,64543112,64628980,64646059,64895323,64986765,65019523,65105825,65158773,65513443,66124363,66126021,66185059,66316821,66401056,66559353,66766326,67024508,67126106,67173992,67324603,67665141,67709150,67716668,68209813,68221658,68264059,68546204,68663511,68784403,68928909,69130658,69319216,69374588,70284005,70615004,70634601,70807459,71293565,71382021,71440508,71547272,71676643,72015266,72104323,72474763,72611001,72659800,72755853,72909146,73167965,73205059,73225148,73256683,73411123,73443746,73910108,74047004,74223859,74274043,74301414,74464445,74701188,74731004,74867708,74919883,75165043,75267605,75570741,76097306,76252565,76296921,76363843,76457803,76471629,76560484,76644859,76812054,76914428,77554776,77787859,77848346,77984118,78126990,78188323,78357453,78408283,78495763,78818204,78953948,79142683,79179513,79237325,79270123,79312459,79632188,79731859,80038748,80144059,80261421,80306923,80347459,80490681,80709043,80748859,80900781,81250980,81475870,81742275,82058225,82850408,83182459,83217523,83335456,83354906,83564203,83684828,83715848,83863586,83903683,84170083,84203059,84223004,84340806,84657163,84708506,84878923,84895004,85158859,85311859,85552278,85700348,85885346,85959905,86021203,86220283,86304523,86332459,86667712,86675897,86769643,87040028,87174605,87191760,87239443,87249123,87415843,87515059,87661723,87708668,87734083,87801558,87853243,88109059,88109468,88217858,88243004,88422043,88844683,88865059,89044058,89357334,89369563,89443388,89461003,89515003,89891203,89995205,90035059,90097123,90130281,90186873,90321126,90404059,90458923,90666859,90775723,90833683,90911803,90954859,90965443,90971853,91015960,91035429,91162003,91232563,91322059,91338266,91359859,91503078,91614883,91673059,91710859,91718203,91725763,91728283,91736059,92101628,92541309,92896604,93004544,93206709,93254645,93752388,93925658,93991101,94171389,94180329,94261325,95084790,95771528,96062765,96159386,96854204,97116981,97442590,97501176,97771044,98090730,98469870,98677658,98893505,99137878,99482973,...,35006615274167919382357129064207485118015518316463689414133658156092124379287276210648574756891485500649963898952600667142101483348735647000062193806839863315828850026540756392097228124030864214240902746788078510151530974157981285891321474579885455348214680922343925588350418454785390373138566582734156580315551339032552681152084221764705775879046233468748833380287232625561739086223927406747668735950847781182171449960366194757445991571732579824213538738619108007308294159104038418137099888886002005295099587161069214732574087380215104378611813015196499425539363004387630284804953077691081543910155808987013429108772232588337644880777547364391853590221177537792618797014151926251949888992211484031340086270935560486981075536520138854312230139590234817433596657481966974829564007127542270803434339668606638713548366971997186959190936683958276616017370028009277320246962855521231634231239371434065158181403734465818472527463514502227687517784004895741356234766917110043359741379916857107999784822219089279760796342029446483564768894643615903346710410701538927800011493366321039716235741593158820411694948654149670801637021748390128675662457017338077581939814315239100181210379220079081514535320693917642155950351865632287086632079992831577810464316934814983899825849199748149837624792035857385349931567600459247253384129489659735384962818547761047240509245423892714058856280433451947435612347827129809136588964413245385674629542066097452139630447450679521869664144501794619226245204077459162050982142292773301014001729901358556784008685226150777222306478264757552965337063733278105424069872320831380890276225544979932626312902825121030464983749449459947925398366120973125107087644290562465523967797246220959232421720641613511846502570325130109877452221090547218851565512587124701313366585362638497922951151325379581166423683465946584624292854091625920483997516016822536930489964034127446395432970800415808288427958772982095705257296251473369067486434122978333752708297968755720468826026289103649174861188975290776915440740206208334495172752639184553310050253184580591078415851310559430904199852636306862587778683324033293064023269074919005120669885591607071028953317905763312837203548303456507976436401978948394855873129567544539166068181676935950040870925930280134617859658450313155024158497090717908515484252948877717117424069564490258112331609463457027017397297387269268087549854313851550043500730655160541533136817186437503398847237914442026068405980312535325506066708586549116159091343276170323564858348979330312551035247646627694495975347812908168390652362310345853037745034444950884863991484317460056639112366515586188293172422226334216821973195119920153706510326870648493250355454327714431199496200383625194556381071466527052181108212128533638820140606175484089984853521277122555827554928508156743962545673097158332763257334622027745553361160542206374325124699076965238127347585803770822412654917978024080421636953431352651444030040256357237518938335925352978403471747528270303308050639920068235098379983678332495973364946680020882821886724}
19157  10993220431045660076810189641216746136791720816586031197887713851449861: {19157,746499,1052755,1244035,1263306,1473703,1492842,1875818,2105290,2526348,2679740,2963755,3215688,3556506,3617649,3751244,3828200,3836487,3881563,4178739,4306725,4593840,4900096,5168070,5358920,5512608,5545090,5717179,5886759,6028785,6176083,6201684,6430704,6654108,6773755,6963835,7177125,7234542,7533835,7655600,7913635,8128506,8356602,8612550,9040602,9186720,9482263,9496362,9620755,9675226,9799168,10302339,10335060,11024064,11051938,11544906,12387463,12402072,13214035,13546090,13674099,13952331,14061223,14345755,15058267,15315619,15856842,16255308,16300298,16416835,16980835,17197387,17214906,17604379,17897978,18233467,18295435,18891548,19138243,19700202,19784923,19818043,20377002,20633047,20684487,21090314,21387559,21511810,21724147,21954522,22040635,22339587,22601035,22694443,22787755,22825363,23016283,23259739,23286140,24627848,25348183,25568540,25814172,25871258,25961799,26007403,26047810,26448762,26480467,26699635,26759419,27121242,27345306,27628435,27706329,27798103,27943368,27956539,28311490,28646563,28824163,28942843,29483035,29792026,30129020,30262466,30682248,30853627,31257372,31336939,31436289,31531724,31638103,31832679,31970312,32039562,32379139,32627059,32811235,32983725,33154122,33167947,33205543,33333787,33451059,33625699,33733435,33805928,33973788,34096899,34517529,34864423,35064039,35182640,35264443,35379642,35574835,35792204,35966601,36105619,36154824,36192962,36211690,36368359,36532003,36671619,36745963,36958940,36991514,37115323,37313139,38031669,38272474,38329435,38690023,38985212,39373482,39428755,39580470,40189287,40480122,40526635,40674177,41012503,41049067,41075035,41474983,41779587,42219168,42333043,42471547,42689802,43082755,43364487,43454028,43785578,44076610,44350728,44813098,44899363,45045320,45084439,45197290,45672487,45812755,45995322,46447387,46514602,46832259,47240743,47311066,47314506,47436490,47496564,47651923,48474019,48523267,48549674,48631962,49290042,49459603,49894569,50675985,50869946,51131720,51207987,51213404,51699306,51764122,52009354,52243778,52523083,52603772,52628443,52828423,52845020,52868635,52891932,53021890,53404953,53514259,53534203,53634405,53864347,54054384,54236748,54795466,54938023,54975306,55541379,55566235,55693160,55824067,56156979,56475223,56822035,56923788,57210032,57281419,57493843,57523185,58100924,58336843,58433755,58462627,58540508,58589290,58630402,58777243,59222019,60518588,60654314,60811182,60934435,61249628,61358064,61660843,62165107,62603863,62654805,62669083,63414024,63442362,63577325,63619303,63626268,63782755,64123426,64361286,64479559,64670755,65246410,65315947,65373058,65380435,66189639,66266635,66353410,66450332,66602539,66679482,66831792,67600387,67860429,67921639,68036035,68178764,68186442,68514163,68758663,69027822,69095755,69183399,69234778,69779559,69980683,70120506,70307148,70402748,70517162,70662103,70969287,71034835,71340777,71714347,72161683,72494107,72918524,72973219,72985267,73121322,73251367,73620523,73630939,74189863,74372755,75183490,75185766,75229543,75272467,75423835,75508172,75834248,76292790,76350153,76539306,76823035,76858268,76866087,77025619,77429203,77604906,78035079,78295692,78456522,78482890,78917035,79519962,79624092,79638965,80261203,80291899,80433002,80657635,80678890,80786225,80942439,81378976,81563143,81643242,81876883,81921404,82008259,82116298,82573459,82914906,83001320,83392483,83780635,83800087,83967490,84645835,84793267,85241802,85313529,85682755,85820359,86224826,86649020,86680267,86718235,86878364,86929483,86977587,87262599,88168028,88268755,88418026,88422428,88506658,88745804,89021768,89130019,89247306,89300635,89434090,90089443,90100839,90220188,90235723,90508602,90824750,91511859,91531435,91551348,91737434,91905212,92187642,92325859,92387635,92558755,92636787,93376485,93413755,93584635,94179468,94454858,94471498,94700442,95176028,95566758,95700605,95954023,96143035,96262819,96439459,96546819,96789162,96814668,96937786,96943470,96994519,97007804,97342123,97707259,98150743,98268994,98522755,98544379,98692435,99068552,99452803,99540235,99601584,99816259,99941546,...,52509922911251879073535693596311227677023277474695534121200487234138186568930914315972862135337228250974945848428901000713152225023103470500093290710259794973743275039811134588145842186046296321361354120182117765227296461236971928836982211869828183022322021383515888382525627682178085559707849874101234870473327008548829021728126332647058663818569350203123250070430848938342608629335891110121503103926271671773257174940549292136168987357598869736320308107928662010962441238656057627205649833329003007942649380741603822098861131070322656567917719522794749138309044506581445427207429616536622315865233713480520143663158348882506467321166321046587780385331766306688928195521227889377924833488317226047010129406403340730471613304780208281468345209385352226150394986222950462244346010691313406205151509502909958070322550457995780438786405025937414924026055042013915980370444283281847451346859057151097737272105601698727708791195271753341531276676007343612034352150375665065039612069875285661999677233328633919641194513044169725347153341965423855020065616052308391700017240049481559574353612389738230617542422981224506202455532622585193013493685526007116372909721472858650271815568830118622271802981040876463233925527798448430629948119989247366715696475402222475849738773799622224756437188053786078024897351400688870880076194234489603077444227821641570860763868135839071088284420650177921153418521740694713704883446619868078511944313099146178209445671176019282804496216752691928839367806116188743076473213439159951521002594852037835176013027839226165833459717397136329448005595599917158136104808481247071335414338317469898939469354237681545697475624174189921888097549181459687660631466435843698285951695869331438848632580962420267769753855487695164816178331635820828277348268880687051970049878043957746884426726988069371749635525198919876936439281137438880725996274025233805395734946051191169593149456200623712432641938159473143557885944377210053601229651184467500629062446953133580703239039433655473762291783462936165373161110309312501742759128958776829965075379776870886617623776965839146356299778954460293881668024986049939596034903612378507681004828387410606543429976858644969255805322455184761964654602968422592283809694351316808749102272515403925061306388895420201926789487675469732536237745636076862773226379423316575676136104346735387168497414195185540526095946080903902131324781470777325065251095982740812299705225779656255098270856871663039102608970468802988259100062879823674238637014914255485347287523468995468826552871469941541743963021719362252585978543465518779556617551667426327295987226476190084958668549773379282439758633339501325232959792679880230559765490305972739875533181491571646799244300575437791834571607199790578271662318192800458230210909263226134977280281915683833741332392762235115943818509645737499144886001933041618330041740813309561487687048615447857191021378705656233618982376967036120632455430147028977166045060384535856278407503888029467605207621292405454962075959880102352647569975517498743960047420020031324232830086}
19158  11036823455582727336053068156848921173405725624029704159776076346829304: {325397,363641,650726,707477,995332,1355177,1507241,1684408,1697141,1894959,1990456,2038457,2239263,2416937,2813727,2832341,2983157,3157935,3166118,3349675,3368464,3397241,3772841,3789522,3997817,4019610,4287584,4521641,4558997,4689055,4742008,4785250,4823532,5115316,5334759,5571652,5626866,5742300,6125120,6698650,6890760,7350144,7469846,7521557,7668341,7752105,7849012,8038380,8217641,8268912,8317635,8546357,8574272,8728697,8872144,8947241,9042326,9092777,9302526,9569500,9646056,9709877,9714086,9981162,10071797,10613177,10838008,10851813,11142136,11439797,11475641,11483400,11869397,11943926,12054136,12192759,12248960,12511637,12534903,12661816,12918825,12938357,13257641,13274918,13496246,13560903,13736452,13780080,13929557,14000117,14244543,14380118,14457977,14512839,14698752,15194741,15393208,15502590,15683957,16536096,16553657,16577907,16579718,16934741,17142197,17245817,17317359,17590697,17762837,18232132,18312341,18603108,18688937,18825641,19200917,19337141,19812917,20016341,20151797,20319135,20935718,21062777,21142456,21152006,21230837,21331577,21549367,21566357,21673744,22034741,22168277,22368341,22834037,22877126,22953208,23331257,23529641,23562677,23614435,23785263,24164918,24320297,24382962,24450447,25008341,25334741,25692857,25822359,26266936,26309141,26470841,26846967,26986937,27169336,27276341,27361718,27436841,27579316,27757241,27974023,28204457,28337322,28395641,29107675,29157497,29189141,29272696,29550303,29580187,29786116,29820341,30316166,30322997,30565503,30784810,31635471,31725737,31960675,32267715,32282297,32409206,32805557,32931783,33540341,33570857,34300841,34418896,34615732,34929210,35265016,35537237,35545939,35986217,36161656,36254741,36284537,36373877,36460408,36757718,36941772,36997241,37257824,37617077,37661275,37852277,38321141,38352810,38583977,38721258,38806887,39071715,39414655,39455417,39621446,39673143,39801977,39962890,40028246,40204841,40377017,40462997,40681863,40909664,41017959,41062841,41176697,41676496,41915052,42195641,42257410,42364457,42443572,42467235,42719416,42925097,43663526,43978300,44036777,44119637,44205496,44532857,44587817,44601412,44688039,44740255,44862137,44998997,45193530,45298384,45393699,45462532,45490037,45653141,45761717,46023372,46059641,46198675,46571957,46752052,46886058,47054006,47172856,47268341,47297586,47508137,47955468,48059343,48065141,48091577,48206432,48635126,48723641,48731515,48832118,48895492,49272917,49351097,49637141,49731183,49750852,50011046,50058778,50598566,50643497,50708892,50899577,50960682,51333077,51713657,51789557,51966377,52318841,52497976,52547606,52773960,52935686,53069463,53093717,53217977,53465897,53585716,53688306,53973496,54232236,54289443,54317535,54693497,54867446,54936617,55009397,55154741,55275641,55438410,55487271,55492757,55636118,55706116,56092457,56211797,56292224,56306650,56378537,56919736,57088697,57159317,57357206,57408711,57417641,57819316,57938704,57977897,58308326,58325717,58477818,58947257,59060223,59134304,59290037,59370705,59381141,59698997,59857337,60154666,60720183,60843641,60865877,60932537,61198457,61264757,61327096,62032937,62443012,62834357,62941817,63027641,63086008,63134741,63196118,63328752,63476117,63582377,63773141,63914650,64016755,64034703,64173737,64278677,64841897,64842616,65152277,65181042,65358197,65678367,65720056,65754715,66056275,66114915,66153641,66354967,66526092,66637097,66936917,67072886,67175477,67219647,67353641,67567980,67747241,67795935,67804118,68157077,68277316,68447657,68533046,68813141,68932408,68992983,69080597,69213737,69616450,69648437,69771903,69803126,69948341,70209077,70338857,70522576,70525718,70780841,70872341,70966599,70971759,71154735,71206604,71244846,71254457,71489237,71512540,71579177,71704757,71758457,72072512,72114617,72315664,72500966,72626155,72817337,72824511,72904277,72947943,73175635,73267241,73284437,73300408,73881257,73935063,74055172,74284841,74351657,74601077,74700341,74875972,74881577,74930837,74947241,74989718,75370937,75648235,75773237,75853097,75898384,76304919,76390841,76562035,76574726,76625141,76697580,76718357,76750118,76820106,76842197,76996277,77026997,77408297,77548959,77634677,77646183,77679737,77844341,77894047,77933717,77978297,78014031,78365667,78496118,78507641,78811637,78854777,78905658,78962692,78998057,79026617,79211477,79267530,79337898,79532835,79799477,80006057,80227718,80332841,80454197,80655017,80801141,81081576,81116597,81194741,81246677,81355122,81388841,81440297,81810752,82085141,82193199,82405877,82462959,82564217,82697141,82769237,82995641,83062915,83242517,83347241,83474357,83539740,83680277,83917241,83928437,84194741,84347957,84413141,84552032,84589816,84617657,84662486,84670997,84829817,84835024,84903317,85090517,85111157,85223455,85305641,85385682,85396757,85656341,85715477,85815048,85862057,85987637,86035577,86187641,86342246,86684983,86703737,86793257,86873141,87151386,87254357,87262841,87338837,87355637,87587477,87603797,87684917,87810762,87841718,87868457,87883935,87945603,87993641,88003435,88109141,88177577,88192697,88252852,88444841,88553141,88694741,88736597,88867241,88905976,88941557,88961657,89001641,89109056,89292341,89385641,89531177,89537141,89572757,89602217,89614063,89658566,89774777,89797241,89880341,89907641,89913077,90041141,90098297,90113717,90149417,90293141,90312437,90336377,90411641,90434741,90475817,90480572,90520697,90595157,90650537,90777882,90796841,90850937,90854741,90915256,90950837,90981471,90982841,91038137,91148155,91182677,91206677,91216773,91278377,91420841,91430057,91486841,91495097,91519097,91574057,91620341,91633337,91653557,91689641,91700597,91713977,91716437,91721897,91731641,91737077,91737641,91743317,91747241,91750517,91755641,91874442,92037096,92244532,92594006,93039412,93494008,93742864,94364918,94385215,94625716,94792810,95004566,95121036,95163543,95323526,95439402,95959718,96072835,96118406,96185139,96541929,97495096,97869615,98059587,98397607,99106118,99261926,99530115,99675498,99810991,...,78764884366877818610303540394466841515534916212043301181800730851207279853396371473959293203005842376462418772643351501069728337534655205750139936065389692460614912559716701882218763279069444482042031180273176647840944691855457893255473317804742274533483032075273832573788441523267128339561774811151852305709990512823243532592189498970587995727854025304684875105646273407513912944003836665182254655889407507659885762410823938204253481036398304604480462161892993016443661857984086440808474749993504511913974071112405733148291696605483984851876579284192123707463566759872168140811144424804933473797850570220780215494737523323759700981749481569881670577997649460033392293281841834066887250232475839070515194109605011095707419957170312422202517814078028339225592479334425693366519016036970109307727264254364937105483825686993670658179607538906122386039082563020873970555666424922771177020288585726646605908158402548091563186792907630012296915014011015418051528225563497597559418104812928492999515849992950879461791769566254588020730012948135782530098424078462587550025860074222339361530418584607345926313634471836759303683298933877789520240528289010674559364582209287975407723353245177933407704471561314694850888291697672645944922179983871050073544713103333713774608160699433337134655782080679117037346027101033306320114291351734404616166341732462356291145802203758606632426630975266881730127782611042070557325169929802117767916469648719267314168506764028924206744325129037893259051709174283114614709820158739927281503892278056752764019541758839248750189576095704494172008393399875737204157212721870607003121507476204848409204031356522318546213436261284882832146323772189531490947199653765547428927543803997158272948871443630401654630783231542747224267497453731242416022403321030577955074817065936620326640090482104057624453287798379815404658921706158321088994411037850708093602419076786754389724184300935568648962907239209715336828916565815080401844476776701250943593670429700371054858559150483210643437675194404248059741665463968752614138693438165244947613069665306329926435665448758719534449668431690440822502037479074909394052355418567761521507242581115909815144965287967453883707983682777142946981904452633888425714541526975213123653408773105887591959583343130302890184231513204598804356618454115294159839569134974863514204156520103080752746121292778310789143919121355853196987172206165987597876643974111218449557838669484382647406285307494558653913455703204482388650094319735511357955522371383228020931285203493203239829307204912312615944532579043378878967815198278169334926327501139490943980839714285127438002824660068923659637950009251987849439689019820345839648235458959109813299772237357470198866450863156687751857410799685867407493477289200687345316363894839202465920422873525750611998589143352673915727764468606248717329002899562427495062611219964342231530572923171785786532068058484350428473565450554180948683145220543465749067590576803784417611255832044201407811431938608182443113939820153528971354963276248115940071130030046986349245129}
19159  11080598184655001207712192159302698222356789445249723182655275240866076: {38314,976089,1244165,1473857,1492998,1741649,2105510,2488070,2526612,2947406,2985684,3751636,4149257,4210580,4749177,5052696,5359480,5684283,5927510,6029415,6394145,6431376,6902681,6964565,7113012,7177875,7235298,7502488,7656400,7672974,7763126,8357478,8440299,8613450,9187680,9483257,9749369,9800192,9811265,10047975,10336140,10547369,10717840,11025216,11079089,11090180,11204769,11434358,11773518,11961875,12057570,12352166,12403368,12807377,12861408,13308216,13469057,13547510,13563489,13927670,13953789,14062697,14354250,14469084,14571129,14639729,14971743,15067670,15311200,15827270,16257012,16570961,16617809,16713204,17170565,17225100,17915889,18081204,18100277,18373440,18499649,18964526,18992724,19220609,19241510,19350452,19598336,19786997,19912377,20084057,20244369,20327417,20604678,20670120,21389801,21570177,22048128,22103876,22112561,22790165,22983569,23089812,23253885,23664629,23773169,23801489,24259577,24279929,24774926,24804144,24869577,25613609,25724081,26428070,26975429,27092180,27348198,27801017,27904662,28122446,28691510,28945877,29064761,29385329,30116534,30354689,30631238,30856889,31403577,31641449,31713684,31728009,31902857,32215241,32510616,32600596,32833670,33733061,33855029,33961670,34315689,34394774,34429812,34474145,34877201,35208758,35265977,35795956,36247377,36466934,36574443,36590870,37232645,37255409,37379489,37394309,37783096,38276486,38538449,38679809,39400404,39413201,39569846,39636086,40754004,41042577,41203409,41266094,41276249,41368974,42180628,42505983,42670277,42775118,43023620,43269665,43448294,43645841,43909044,44081270,44679174,45202070,45388886,45474249,45575510,45650726,45878369,45935729,46032566,46177215,46519478,46572280,47226809,47313401,47656961,48613809,49015889,49255696,49804769,50046977,50181641,50696366,51137080,51628344,51742516,51923598,52014806,52095620,52333097,52393815,52590809,52897524,52960934,53054465,53399270,53518838,53661209,54242484,54619217,54690612,54972875,55136577,55200257,55256870,55412658,55525289,55596206,55751765,55829969,55886736,55913078,56315909,56622980,56737289,56828165,57226217,57287477,57293126,57505049,57529215,57648326,57885686,58081887,58440065,58966070,59432169,59584052,59944335,60042369,60201329,60258040,60315857,60524932,61119365,61364496,61707254,62188565,62514744,62673878,62872578,63063448,63276206,63386115,63665358,63940624,64079124,64137857,64668689,64758278,65200001,65254118,65495289,65622470,65967450,66308244,66335894,66411086,66667574,66902118,66982145,67251398,67466870,67611856,67790295,67947269,67947576,68193798,68533169,69035058,69478649,69632645,69728846,70128078,70329087,70365280,70528886,70581009,70759284,70836677,70946379,71129777,71149670,71584408,71721929,71933202,72211238,72274145,72309648,72385924,72423380,72736718,72952689,73064006,73248177,73343238,73491926,73628309,73917880,73983028,74016089,74230646,74626278,74806937,75016569,75088167,75186449,75897849,76063338,76441023,76544948,76658870,76679429,77380046,77779697,77792729,77970424,78053765,78746964,78821409,78857510,79160940,79403529,79476629,79550849,80151329,80378574,80532459,80960244,81053270,81348354,81571769,81807257,82025006,82098134,82150070,82281761,82301169,82949966,83109041,83157615,83454177,83559174,84208577,84438336,84459975,84666086,84943094,84951221,85281989,85308209,85346645,85379604,86035809,86165510,86241077,86384069,86538521,86728974,86908056,87460409,87462489,87571156,87664001,87678929,87716727,88153220,88701456,89008255,89295857,89390675,89626196,89798726,90090640,90168878,90231999,90394580,90539057,90730649,91030277,91344974,91532609,91625510,91990644,92022569,92568965,92773289,92894774,93029204,93594965,93664518,93959657,94481486,94622132,94629012,94794177,94854149,94872980,94993128,95250449,95303846,95871975,96734057,96763589,96948038,97004777,97046534,97099348,97156481,97263924,97725269,97771563,98580084,98703365,98919206,99448769,99789138,99966977,...,105019845822503758147071387192622455354046554949391068242400974468276373137861828631945724270674456501949891696857802001426304450046206941000186581420519589947486550079622269176291684372092592642722708240364235530454592922473943857673964423739656366044644042767031776765051255364356171119415699748202469740946654017097658043456252665294117327637138700406246500140861697876685217258671782220243006207852543343546514349881098584272337974715197739472640616215857324021924882477312115254411299666658006015885298761483207644197722262140645313135835439045589498276618089013162890854414859233073244631730467426961040287326316697765012934642332642093175560770663532613377856391042455778755849666976634452094020258812806681460943226609560416562936690418770704452300789972445900924488692021382626812410303019005819916140645100915991560877572810051874829848052110084027831960740888566563694902693718114302195474544211203397455417582390543506683062553352014687224068704300751330130079224139750571323999354466657267839282389026088339450694306683930847710040131232104616783400034480098963119148707224779476461235084845962449012404911065245170386026987371052014232745819442945717300543631137660237244543605962081752926467851055596896861259896239978494733431392950804444951699477547599244449512874376107572156049794702801377741760152388468979206154888455643283141721527736271678142176568841300355842306837043481389427409766893239736157023888626198292356418891342352038565608992433505383857678735612232377486152946426878319903042005189704075670352026055678452331666919434794272658896011191199834316272209616962494142670828676634939797878938708475363091394951248348379843776195098362919375321262932871687396571903391738662877697265161924840535539507710975390329632356663271641656554696537761374103940099756087915493768853453976138743499271050397839753872878562274877761451992548050467610791469892102382339186298912401247424865283876318946287115771888754420107202459302368935001258124893906267161406478078867310947524583566925872330746322220618625003485518257917553659930150759553741773235247553931678292712599557908920587763336049972099879192069807224757015362009656774821213086859953717289938511610644910369523929309205936845184567619388702633617498204545030807850122612777790840403853578975350939465072475491272153725546452758846633151352272208693470774336994828390371081052191892161807804262649562941554650130502191965481624599410451559312510196541713743326078205217940937605976518200125759647348477274029828510970694575046937990937653105742939883083487926043438724505171957086931037559113235103334852654591974452952380169917337099546758564879517266679002650465919585359760461119530980611945479751066362983143293598488601150875583669143214399581156543324636385600916460421818526452269954560563831367667482664785524470231887637019291474998289772003866083236660083481626619122975374097230895714382042757411312467237964753934072241264910860294057954332090120769071712556815007776058935210415242584810909924151919760204705295139951034997487920094840040062648465660172}
19160  11124545289563454217272637167195656308335025161481363478880300994148658: {57471,363679,650794,727282,1301452,1393351,1414954,1507399,1990664,2076559,2239497,2710354,2870359,3014482,3158265,3368816,3394282,3435199,3732105,3789918,3980912,4076914,4421109,4478526,4559479,4689545,4833874,5263225,5627454,5664682,5966314,6315870,6332236,6564677,6699350,6736928,6794482,6897031,7007551,7545682,7579044,7995634,8039220,8575168,8891265,9043282,9117994,9311839,9378110,9484016,9570500,9647064,9747151,10230632,10669518,10722391,10852947,11143304,11253732,11261671,11476879,11484600,11509461,11644689,11906431,12250240,12536217,12920175,13081759,13397300,13400791,13506991,13781520,13862725,14700288,14939692,15043114,15336682,15504210,15615871,15698024,15720559,16076760,16435282,16537824,16555471,16635270,17074951,17092714,17148544,17151537,17457394,17660277,17744288,17894482,18005479,18084652,18086355,18185554,18528249,18605052,18725191,18827719,19139000,19237111,19292112,19419754,19428172,19962324,20143594,20154031,20321265,20891505,21065119,21226354,21531375,21568759,21676016,21703626,22070599,22170751,22284272,22370839,22601505,22869799,22879594,22951282,22966800,23168311,23565319,23738794,23740905,23887852,24108272,24188065,24385518,24497920,24847639,25023274,25069806,25239751,25323632,25630711,25728271,25837650,25876714,26515282,26549836,26992492,27121806,27472904,27560160,27629845,27760399,27859114,28000234,28239559,28430719,28446789,28489086,28760236,28862265,28915954,29025678,29097511,29192479,29397504,29571631,30326479,30389482,30608359,30786416,30889591,30907017,30983191,31005180,31263559,31367914,32193439,32286031,33060209,33072192,33107314,33155814,33159436,33574759,33865225,33869482,34213831,34284394,34491634,34634718,35120671,35181394,35525674,35571391,36020311,36288799,36464264,36624682,37001599,37162389,37206216,37377874,37651282,37886119,38401834,38500999,38674282,39331897,39625834,39642105,40032682,40303594,40638270,40750745,41022297,41181631,41692471,41856993,41871436,42008837,42125554,42183669,42284912,42304012,42453871,42461674,42663154,42958231,43037265,43098734,43132714,43347488,44069482,44207791,44336554,44538271,44620711,44736682,44744945,45113839,45174801,45668074,45685879,45754252,45767311,45906416,45946857,46662514,46980151,47059282,47125354,47228870,47570526,48097519,48329836,48640594,48729679,48765924,48900894,49122439,49250505,50016682,50669482,50675479,50905951,50942505,51385714,51592161,51644718,51745471,51821359,51972919,52350559,52533872,52618282,52725785,52813137,52876231,52941682,53249551,53693934,53779525,53973874,53990791,54338672,54552682,54700401,54723436,54797839,54873682,54886305,54943639,55016431,55158632,55180517,55306879,55514482,55523959,55948046,56408914,56674644,56791282,57307759,57414729,57588991,58008679,58215350,58314994,58378282,58545392,58909111,58977871,59100606,59160374,59354769,59388919,59454129,59572232,59640682,59729479,60000631,60270631,60632332,60645994,60873919,61131006,61569620,61735039,61899141,62053461,62062999,62583991,62636357,63164599,63270942,63451474,63612151,63921350,64162677,64308319,64535430,64559311,64564594,64678145,64818412,65119525,65172441,65181751,65428711,65611114,65863566,66041071,66121905,66646231,66946111,67005871,67018761,67080682,67141714,67540471,67803105,68083329,68185951,68224121,68244199,68363265,68476089,68534359,68601682,68837792,69048849,69052111,69231464,69779217,69858420,69958159,70530032,70680751,70778725,70900639,71074474,71091878,71499391,71972434,72323312,72509482,72565711,72569074,72747754,72827791,72920816,73294999,73515436,73883544,73994482,74480065,74515648,74562199,74611951,74711239,74958199,75234154,75322550,75349591,75640111,75656165,75688279,75704554,76044549,76118551,76307911,76589791,76642282,76705620,77053831,77099839,77167954,77328799,77442516,77613774,77646319,77870959,77885397,78004879,78022209,78143430,78829310,78910834,79242892,79346286,79435231,79441401,79603954,79925780,80018359,80056492,80098905,80278257,80409682,80754034,80826919,80925994,81259351,81363726,81414439,81529999,81644911,81797119,81819328,82035918,82125682,82353394,82577311,82722319,82758391,82885305,82937671,83008879,83118987,83325751,83352992,83394309,83499271,83533759,83830104,83869617,83941999,84391282,84437719,84502591,84514820,84631471,84728914,84854239,84887144,84934470,85104511,85438832,85850194,85939689,86145271,86202079,86286751,86472489,86564311,86673319,86727391,86828529,87097831,87277759,87327052,87748351,87956600,88073554,88124479,88239274,88305631,88327951,88410992,88449105,88862551,89065714,89161711,89175634,89202824,89314639,89376078,89480510,89553319,89588959,89623457,89724274,89779831,89929519,89997994,90057679,90120031,90211399,90357919,90387060,90456199,90482405,90529225,90596768,90654919,90742111,90787398,90871999,90905911,90925064,90980074,91014271,91055599,91105639,91172671,91227319,91296151,91304431,91306282,91441159,91494439,91513231,91523434,91537279,91592359,91621951,91684591,91720231,91723039,91740679,91751119,91756519,91762711,91771639,91775311,92046744,92056601,92119282,92397350,92478785,92560881,93143914,93504104,93772116,94010817,94108012,94308867,94345712,94536682,94595172,94914309,95016274,95498037,95681185,95910936,96118686,96130282,96183154,96412864,97137417,97270252,97447282,97463030,97664236,97790984,97881177,98433705,98545834,98702194,98951175,99274282,99462366,99501704,99503841,99616629,...,157529768733755637220607080788933683031069832424086602363601461702414559706792742947918586406011684752924837545286703002139456675069310411500279872130779384921229825119433403764437526558138888964084062360546353295681889383710915786510946635609484549066966064150547665147576883046534256679123549622303704611419981025646487065184378997941175991455708050609369750211292546815027825888007673330364509311778815015319771524821647876408506962072796609208960924323785986032887323715968172881616949499987009023827948142224811466296583393210967969703753158568384247414927133519744336281622288849609866947595701140441560430989475046647519401963498963139763341155995298920066784586563683668133774500464951678141030388219210022191414839914340624844405035628156056678451184958668851386733038032073940218615454528508729874210967651373987341316359215077812244772078165126041747941111332849845542354040577171453293211816316805096183126373585815260024593830028022030836103056451126995195118836209625856985999031699985901758923583539132509176041460025896271565060196848156925175100051720148444678723060837169214691852627268943673518607366597867755579040481056578021349118729164418575950815446706490355866815408943122629389701776583395345291889844359967742100147089426206667427549216321398866674269311564161358234074692054202066612640228582703468809232332683464924712582291604407517213264853261950533763460255565222084141114650339859604235535832939297438534628337013528057848413488650258075786518103418348566229229419640317479854563007784556113505528039083517678497500379152191408988344016786799751474408314425443741214006243014952409696818408062713044637092426872522569765664292647544379062981894399307531094857855087607994316545897742887260803309261566463085494448534994907462484832044806642061155910149634131873240653280180964208115248906575596759630809317843412316642177988822075701416187204838153573508779448368601871137297925814478419430673657833131630160803688953553402501887187340859400742109717118300966421286875350388808496119483330927937505228277386876330489895226139330612659852871330897517439068899336863380881645004074958149818788104710837135523043014485162231819630289930575934907767415967365554285893963808905267776851429083053950426247306817546211775183919166686260605780368463026409197608713236908230588319679138269949727028408313040206161505492242585556621578287838242711706393974344412331975195753287948222436899115677338968765294812570614989117307826911406408964777300188639471022715911044742766456041862570406986406479658614409824625231889065158086757757935630396556338669852655002278981887961679428570254876005649320137847319275900018503975698879378039640691679296470917918219626599544474714940397732901726313375503714821599371734814986954578401374690632727789678404931840845747051501223997178286705347831455528937212497434658005799124854990125222439928684463061145846343571573064136116968700856947130901108361897366290441086931498135181153607568835222511664088402815622863877216364886227879640307057942709926552496231880142260060093972698490258}
19161  11168665444214733410163736378521348152214690494917551254542085721308947: {76628,976191,1090923,1626815,1741831,1952178,2122431,2315819,2488330,2947714,2985996,3483298,4065531,4211020,4521723,4976140,5053224,5091423,5684877,5894812,5971368,6099599,6115371,6717789,7250811,7476311,7503272,7915295,8298514,8421160,8441181,8497023,8949471,8951803,9473805,9498354,9750391,10049025,10105392,10191723,10718960,11318523,11368566,11855020,11963125,11993451,12058830,12788290,12862752,13564923,13676991,13735771,13805362,13929130,14067165,14226024,14355750,14470596,14900699,15004976,15135991,15312800,15345948,15526252,16004277,16619551,16714956,16746625,16880598,17226900,18375360,18674615,18966514,19498738,19583863,19600384,19622530,20095950,20672280,21094738,21435680,22050432,22114879,22158178,22180360,22409538,22564671,22605815,22868716,23005023,23021111,23256315,23547036,23662991,23923750,24023311,24038791,24115140,24285215,24652923,24704332,24806736,24952905,25442971,25614754,25639071,25722816,25890203,26130103,26186091,26448703,26616432,26841723,26938114,27095020,27126978,27278331,27855340,27907578,28125394,28652591,28708500,28938168,29129631,29142258,29279458,29324423,29859815,29943486,30135340,30215391,30357871,30622400,31142639,31654540,31839531,31906231,32071799,32514024,32555439,32633903,33141922,33187295,33235618,33426408,33740615,34319391,34341130,34349263,34426923,34450200,34628303,35608191,35831778,35950295,36059479,36162408,36200554,36558551,36578277,36746880,36753671,36999298,37534911,37604709,37929052,37985448,38441218,38483020,38700904,38756475,38815071,39196672,39573994,39772923,39824754,39832859,40168114,40488738,40654834,40682709,41209356,41340240,41449295,41788671,42000351,42341951,42733629,42779602,43140354,43373931,43538517,44096256,44207752,44222951,44225122,45580330,45584223,45967138,46179624,46507770,46655899,46835291,47051871,47329258,47546338,47602978,48263803,48484271,48519154,48559858,49549852,49608288,49660971,49717019,49733721,49739154,50804223,51227218,51426591,51448162,51456751,51737451,51952077,52125703,52180139,52339295,52772091,52856140,52880015,53288511,53950858,54184360,54696396,54885931,54937023,55602034,55741799,55809324,56066811,56244892,56321863,56476923,57192815,57383020,57602751,57891754,58011423,58129522,58324079,58770658,58777963,59438751,59872151,60049023,60233068,60412295,60455391,60577531,60709378,60957405,61262476,61713778,62807154,63188331,63282898,63427368,63453503,63456018,63692511,63805714,63994731,64430482,64448219,64648101,64699071,64782911,65021232,65201192,65667340,66104223,66504831,67105023,67466122,67710058,67923340,68404295,68502111,68631378,68789548,68859624,68948290,69444119,69754402,69993771,70417516,70531954,70588923,70688031,70843305,71355789,71591912,71636231,71771051,72184799,72494754,72933868,72960891,72988751,73000703,73148886,73181740,73351341,74239931,74276251,74465290,74510818,74758978,74788618,74906471,75025023,75566192,75790415,76004223,76552972,76962025,77076898,77078571,77359618,77467077,78052471,78054203,78800808,78826402,78927423,79139692,79272172,79412523,79559431,79720859,80159803,80540901,80960811,81023015,81508008,81816091,81829023,82085154,82290463,82310523,82406818,82532188,82552498,82701839,82737948,83234171,83271723,83410031,83922069,84361256,84613371,85011966,85186923,85340554,85550236,85567111,86047240,86331179,86539330,86896588,87063991,87291682,87323025,87472491,87567423,87818088,88162540,88650909,88740561,88746779,88840699,89095183,89358348,89461023,90254711,90404140,90777772,90948498,90968991,91151020,91301452,91696509,91756738,91871458,91894295,92065132,92341591,92354430,92364239,93038956,93144560,93775003,94453618,94626802,94906413,95117303,95177211,95313922,95882025,96803145,96846891,97227618,97485703,98031778,98377499,98416671,98511392,98734331,98795349,99053615,99609538,99837263,99907225,...,236294653100633455830910621183400524546604748636129903545402192553621839560189114421877879609017527129387256317930054503209185012603965617250419808196169077381844737679150105646656289837208333446126093540819529943522834075566373679766419953414226823600449096225821497721365324569801385018685324433455556917129971538469730597776568496911763987183562075914054625316938820222541738832011509995546763967668222522979657287232471814612760443109194913813441386485678979049330985573952259322425424249980513535741922213337217199444875089816451954555629737852576371122390700279616504422433433274414800421393551710662340646484212569971279102945248444709645011733992948380100176879845525502200661750697427517211545582328815033287122259871510937266607553442234085017676777438003277080099557048110910327923181792763094811316451477060981011974538822616718367158117247689062621911666999274768313531060865757179939817724475207644274689560378722890036890745042033046254154584676690492792678254314438785478998547549978852638385375308698763764062190038844407347590295272235387762650077580222667018084591255753822037778940903415510277911049896801633368560721584867032023678093746627863926223170059735533800223113414683944084552664875093017937834766539951613150220634139310001141323824482098300011403967346242037351112038081303099918960342874055203213848499025197387068873437406611275819897279892925800645190383347833126211671975509789406353303749408946157801942505520292086772620232975387113679777155127522849343844129460476219781844511676834170258292058625276517746250568728287113482516025180199627211612471638165611821009364522428614545227612094069566955638640308783854648496438971316568594472841598961296642286782631411991474818846614330891204963892349694628241672802492361193727248067209963091733865224451197809860979920271446312172873359863395139446213976765118474963266983233113552124280807257230360263169172552902806705946888721717629146010486749697445241205533430330103752830781011289101113164575677451449631930313025583212744179224996391906257842416080314495734842839208995918989779306996346276158603349005295071322467506112437224728182157066255703284564521727743347729445434895863902361651123951048331428840945713357901665277143624580925639370960226319317662775878750029390908670552694539613796413069855362345882479518707404924590542612469560309242258238363878334932367431757364067559590961516618497962793629931922333655348673516008453147942218855922483675961740367109613447165950282959206534073866567114149684062793855610479609719487921614736937847833597737130136636903445594834508004778982503418472831942519142855382314008473980206770978913850027755963548319067059461037518944706376877329439899316712072410596599352589470063255572232399057602222480431867602062035949091684517607397761268620577251835995767430058021747183293405818746151987008698687282485187833659893026694591718769515357359596204175453051285420696351662542846049435661630397247202771730411353252833767496132604223434295815824547329341819460460586914064889828744347820213390090140959047735387}
19162  11212959325131201597389013712020874997098731509002222634031417926208984: {95785,114942,440197,727358,783961,1301588,1454564,1583557,1697497,2493061,2602904,2786702,2829908,2832937,2928267,3014798,3732495,3981328,4153118,4421571,4478994,4746661,4970437,5224947,5263775,5420708,5528617,5740718,6028964,6220175,6316530,6565363,6737632,6750277,6788564,6870398,7302697,7368515,7464210,7579836,7853317,7961824,8073061,8153828,8292517,8402137,8621161,8842218,8957052,9118958,9167461,9379090,9667748,10526450,10579417,11254908,11329364,11871961,11932628,12193477,12447771,12631740,12664472,12941161,13129354,13260517,13398700,13473856,13588964,13794062,14003161,14015102,14247531,14818775,14847577,15057961,15091364,15158088,15991268,16078440,16626661,16938457,17052849,17150336,17663461,17782530,18086564,18088245,18235988,18384937,18487717,18623678,18693061,18756220,18968032,19141000,19182435,19294128,19407815,19494302,19919077,20461264,20708043,20893695,21235561,21339036,21444782,21533625,21705894,21939397,22286608,22507464,22523342,22539877,22953758,22969200,23018922,23289378,23812862,24424297,24500480,25072434,25320897,25405657,25840350,26163518,26185561,26379817,26794600,26801582,27013982,27346777,27563040,27725450,27827557,28449771,28585895,29248107,29400576,29433795,29879384,30086228,30143925,30673364,30880415,31008420,31231742,31396048,31422661,31441118,31642107,32153520,32351461,32870564,33075648,33110942,33237267,33270540,33273061,33614307,33863291,33868775,33913897,34005157,34149902,34185428,34297088,34303074,34369477,34819175,34913797,34914788,35275237,35320554,35365417,35488576,35788964,35885625,36010958,36169304,36172710,36263257,36371108,36441961,37056498,37210104,37450382,37655438,37669175,38278000,38388697,38422131,38474222,38584224,38681783,38839508,38856344,39262057,39348997,39522661,39568175,39924648,40214437,40287188,40308062,40407171,40642530,40690467,41072677,41783010,41861367,42093061,42130238,42188091,42262117,42452708,43062750,43137518,43186777,43352032,43407252,43520857,43713387,43919187,43959179,44141198,44341502,44568544,44598661,44741678,44845657,44915229,45009961,45203010,45739598,45759188,45827161,45902564,45933600,46336622,46394917,46483151,46637161,47130638,47279977,47411315,47477588,47481810,47679397,47775704,48077017,48103775,48216544,48376130,48771036,48788197,48995840,49649497,49695278,49712883,49853427,50046548,50139612,50479502,50647264,50963461,51116677,51261422,51456542,51511695,51675300,51753428,53030564,53082277,53099672,53231461,53454697,53747667,53751337,53984984,54243612,54300831,54707461,54945808,55120320,55217257,55259690,55498947,55520798,55718228,55795561,55939417,56000468,56479118,56861438,56893578,56978172,57051043,57221161,57432517,57520472,57661827,57724530,57831908,57923161,58051356,58132357,58195022,58384958,58410277,58756057,58795008,59100037,59143262,59360991,59737131,59850457,60252171,60525097,60652958,60659161,60733107,60778964,60792937,60982251,61216718,61523557,61572832,61779182,61814034,61937315,61966382,62010360,62527118,62642923,62735828,62958661,63599461,63726757,64169403,64386878,64421737,64572062,64710531,64859461,65045977,65169961,65601637,65907817,66070175,66120418,66144384,66212197,66214628,66311628,66318872,66337683,67149518,67411717,67707097,67730450,67738964,68370495,68427662,68466661,68568788,68870617,68950707,68983268,69269436,69761655,70061317,70241342,70306115,70362788,70837477,70892377,70993887,71051348,71142782,71319507,71404467,71545561,71728775,72040622,72188377,72577598,72778731,72839787,72873061,72928528,73133161,73249364,73288357,73494277,73750057,73816099,74003198,74155561,74306437,74324778,74412432,74608731,74655961,74755748,74903461,75001957,75291335,75302564,75772238,76256197,76578095,76679017,76803668,76818661,76840827,77001998,77049961,77172243,77348564,77867737,78267877,78663794,79050661,79251668,79284210,79348777,79768537,80065364,80384677,80505961,80607188,80786437,80826217,80926287,81276540,81375577,81501490,81986137,82044594,82084175,82135897,82247461,82363262,82431961,82614661,83257477,83384942,83403051,83431897,83713986,83742872,83843161,84017674,84244057,84251108,84367338,84569824,84602437,84608024,84666661,84904175,84907742,84920677,84923348,85139161,85200937,85231717,85326308,85354117,85743961,85890661,85916462,85986935,86074530,86093017,86197468,86263657,86265428,86375977,86694976,86733061,86813737,86837631,87194283,87385561,87584857,87633961,87803557,88021895,88039717,88138964,88155097,88155987,88223461,88415582,88598617,88673108,88767961,88912357,88973161,89033317,89076542,89132137,89241422,89473364,89489890,89509417,89581417,90084697,90227678,90312037,90349602,90454597,90468457,90549403,90779497,90952837,91017637,91064067,91167335,91214917,91233061,91259737,91277161,91336148,91371758,91398661,91421017,91456837,91470661,91477175,91490857,91508504,91523077,91534622,91665961,91678597,91722661,91728997,91751461,91767337,91769317,91783897,91793257,91793797,91812832,91893714,92570667,93325028,93960302,94118564,94210731,94250708,94457740,94924347,95141052,95184027,95691215,95708571,96195038,96645723,96659672,97281188,97459358,97531848,97801788,98244878,98501010,98924615,99090215,...,315059537467511274441214161577867366062139664848173204727202923404829119413585485895837172812023369505849675090573406004278913350138620823000559744261558769842459650238866807528875053116277777928168124721092706591363778767421831573021893271218969098133932128301095330295153766093068513358247099244607409222839962051292974130368757995882351982911416101218739500422585093630055651776015346660729018623557630030639543049643295752817013924145593218417921848647571972065774647431936345763233898999974018047655896284449622932593166786421935939407506317136768494829854267039488672563244577699219733895191402280883120861978950093295038803926997926279526682311990597840133569173127367336267549000929903356282060776438420044382829679828681249688810071256312113356902369917337702773466076064147880437230909057017459748421935302747974682632718430155624489544156330252083495882222665699691084708081154342906586423632633610192366252747171630520049187660056044061672206112902253990390237672419251713971998063399971803517847167078265018352082920051792543130120393696313850350200103440296889357446121674338429383705254537887347037214733195735511158080962113156042698237458328837151901630893412980711733630817886245258779403553166790690583779688719935484200294178852413334855098432642797733348538623128322716468149384108404133225280457165406937618464665366929849425164583208815034426529706523901067526920511130444168282229300679719208471071665878594877069256674027056115696826977300516151573036206836697132458458839280634959709126015569112227011056078167035356995000758304382817976688033573599502948816628850887482428012486029904819393636816125426089274184853745045139531328585295088758125963788798615062189715710175215988633091795485774521606618523132926170988897069989814924969664089613284122311820299268263746481306560361928416230497813151193519261618635686824633284355977644151402832374409676307147017558896737203742274595851628956838861347315666263260321607377907106805003774374681718801484219434236601932842573750700777616992238966661855875010456554773752660979790452278661225319705742661795034878137798673726761763290008149916299637576209421674271046086028970324463639260579861151869815534831934731108571787927617810535553702858166107900852494613635092423550367838333372521211560736926052818395217426473816461176639358276539899454056816626080412323010984485171113243156575676485423412787948688824663950391506575896444873798231354677937530589625141229978234615653822812817929554600377278942045431822089485532912083725140813972812959317228819649250463778130316173515515871260793112677339705310004557963775923358857140509752011298640275694638551800037007951397758756079281383358592941835836439253199088949429880795465803452626751007429643198743469629973909156802749381265455579356809863681691494103002447994356573410695662911057874424994869316011598249709980250444879857368926122291692687143146128272233937401713894261802216723794732580882173862996270362307215137670445023328176805631245727754432729772455759280614115885419853104992463760284520120187945396980516}
19163  11257427611461017017571771368057799494704666114819734397856637193553543: {19163,153256,172413,1091037,1626985,1818205,1952382,2181846,2277541,2316061,2736877,3253630,3483662,3537385,3904356,4180053,4244862,4522197,4631638,4976660,5895428,5971992,6229677,6520261,6718491,6775885,6966596,7208617,7536205,8131062,8355877,8422040,8485705,8611077,9043446,9474795,9952280,10106448,10182846,10192285,10305597,11081413,11196315,11369754,11789624,11942736,12084685,12199198,12230742,13263327,13435578,13678437,14068635,14161705,14501622,14902261,14915785,14952622,15006544,15320437,15789675,15830590,16574437,16597028,16748375,16842320,16882362,16986205,16994046,17409997,17609917,17898942,17903606,18864205,18947610,18996708,19144261,19500782,19694031,19989085,20098050,20210784,20383446,20691093,21022653,21165661,21437920,21730981,22608205,22637046,22737132,22794985,23267053,23445275,23669593,23710040,23926250,23986902,24117660,25576580,25725504,25729477,25892917,26015581,26144461,26673795,26767837,27129846,27353982,27471542,27610724,27858260,27935517,27965353,28134330,28452048,28711500,28941192,29070877,29241453,29327497,29391493,29801398,30009952,30271982,30625600,30691896,31052504,31139677,31346797,31560661,31648141,32008554,32075161,32167173,32558841,33178381,33239102,33429912,33493250,33636277,33740137,33761196,33785013,33862153,33999301,34430637,34453800,34528383,34884517,34934067,35275561,35719293,36117037,36750720,36804937,37349230,37357837,37402153,37607785,37608651,37933028,38341705,38546533,38702221,38760525,38997397,38997476,39167726,39200768,39245060,39245277,40191900,40202373,40249957,40520973,40859557,41088205,41344560,41436937,41588175,41803741,42123421,42189476,42731785,42871360,43643485,44100864,44229758,44271961,44316356,44360720,44736205,44819076,45098653,45129342,45211630,45463885,45737432,45855757,46010046,46042222,46462213,46512630,46847613,47075197,47094072,47161677,47236861,47323357,47325982,47710717,47847500,48046622,48077582,48230280,48489397,48549385,48570430,49305846,49408664,49613472,49666413,49722277,49905810,50133061,50330413,50358985,50885942,51224853,51229508,51278142,51445632,51454611,51780406,52260206,52372182,52897406,52980831,53065885,53232864,53551081,53683446,53876228,53881381,54016437,54190040,54253956,54259065,54556662,55457461,55536973,55584747,55710680,55799593,55815156,56175573,56250788,56483157,56845597,57198985,57274117,57299593,57305182,57378205,57417000,57711333,57876336,58029013,58259262,58284516,58558916,58648846,58739197,58756477,59346985,59572477,59586061,59719630,59886972,60270680,60430782,60462093,60715742,60746197,60782557,60963795,61244800,61667437,62285278,62558185,62674515,62688841,63195357,63309080,63679062,63812462,64097701,64143598,64594125,64691785,64706277,64862677,65028048,65110878,65267806,66211797,66283844,66288205,66374590,66471236,66512253,66852816,67112517,67481230,67804515,67943053,68609397,68638782,68682260,68698526,68853846,68900400,68928457,69256606,69504933,69647785,70000585,70684381,70695957,70918621,71216382,71222715,71663556,71900590,72118958,72184717,72289885,72324816,72401108,72564195,72831637,72875293,73008421,73117102,73156554,73275013,73493760,73507342,73643881,73654153,73998596,74032021,74213557,74542917,74914393,75069822,75209418,75253261,75719253,75858104,75970896,75973705,76166077,76882436,76892133,76966040,77163061,77184813,77401808,77512950,77630142,78264637,78393344,78419785,78926317,79147988,79493353,79545846,79649508,79665718,79682797,80069941,80336228,80977476,81309668,81365418,81589021,81966517,82418712,82423261,82680480,82768285,82889535,82898590,83281197,83577342,83718997,84000702,84105733,84324757,84577213,84673705,84683902,84718677,84820333,84969097,85292157,85340367,85467258,85559204,85710985,86229085,86259433,86280708,86586795,86743261,86747862,87077034,87292533,87478813,87577437,87953485,88068697,88192512,88415504,88445902,88450244,88714893,88814185,88854121,89158597,90365077,90979437,91160660,91168446,91561705,91825077,91934276,92041933,92359248,92668773,92721051,92949573,93015540,93311798,93444685,93670582,93790677,94103742,94128205,94658516,94782061,95092676,95205956,95596261,95766013,96004585,96527606,96580317,96685705,96858093,96968542,97025293,97038308,97119716,97738537,97745833,98320741,98744773,99064585,99099704,99180627,99216576,99321942,99434038,99467442,99478308,99604237,...,472589306201266911661821242366801049093209497272259807090804385107243679120378228843755759218035054258774512635860109006418370025207931234500839616392338154763689475358300211293312579674416666892252187081639059887045668151132747359532839906828453647200898192451642995442730649139602770037370648866911113834259943076939461195553136993823527974367124151828109250633877640445083477664023019991093527935336445045959314574464943629225520886218389827626882772971357958098661971147904518644850848499961027071483844426674434398889750179632903909111259475705152742244781400559233008844866866548829600842787103421324681292968425139942558205890496889419290023467985896760200353759691051004401323501394855034423091164657630066574244519743021874533215106884468170035353554876006554160199114096221820655846363585526189622632902954121962023949077645233436734316234495378125243823333998549536627062121731514359879635448950415288549379120757445780073781490084066092508309169353380985585356508628877570957997095099957705276770750617397527528124380077688814695180590544470775525300155160445334036169182511507644075557881806831020555822099793603266737121443169734064047356187493255727852446340119471067600446226829367888169105329750186035875669533079903226300441268278620002282647648964196600022807934692484074702224076162606199837920685748110406427696998050394774137746874813222551639794559785851601290380766695666252423343951019578812706607498817892315603885011040584173545240465950774227359554310255045698687688258920952439563689023353668340516584117250553035492501137456574226965032050360399254423224943276331223642018729044857229090455224188139133911277280617567709296992877942633137188945683197922593284573565262823982949637693228661782409927784699389256483345604984722387454496134419926183467730448902395619721959840542892624345746719726790278892427953530236949926533966466227104248561614514460720526338345105805613411893777443435258292020973499394890482411066860660207505661562022578202226329151354902899263860626051166425488358449992783812515684832160628991469685678417991837979558613992692552317206698010590142644935012224874449456364314132511406569129043455486695458890869791727804723302247902096662857681891426715803330554287249161851278741920452638635325551757500058781817341105389079227592826139710724691764959037414809849181085224939120618484516476727756669864734863514728135119181923033236995925587259863844667310697347032016906295884437711844967351923480734219226894331900565918413068147733134228299368125587711220959219438975843229473875695667195474260273273806891189669016009557965006836945663885038285710764628016947960413541957827700055511927096638134118922075037889412753754658879798633424144821193198705178940126511144464798115204444960863735204124071898183369035214795522537241154503671991534860116043494366586811637492303974017397374564970375667319786053389183437539030714719192408350906102570841392703325085692098871323260794494405543460822706505667534992265208446868591631649094658683638920921173828129779657488695640426780180281918095470774}
19164  11302070984988251561333148382805183330549399620050850634605342339253473: {134099,191570,229884,440243,822203,880394,1454716,1567922,1583723,2152763,2417699,2603176,2870963,2909128,2928573,3097163,3167114,3272769,3394994,3623843,4747163,4880445,4986122,5205808,5225493,5573404,5659816,5665874,5856534,6029596,6220825,6367293,6898499,6947457,7369285,7464990,7890803,7962656,8110523,8306236,8658563,8708245,8843142,8957988,9386483,9493322,9940874,10183499,10315921,10449894,10527550,10616603,10724699,10841416,11057234,11481436,11873243,11909003,11980499,12057928,12196593,12230483,12440350,12622523,12633060,13130726,13475264,13500554,13565169,13577128,13740796,13828163,14605394,14638499,14737030,14884283,14928420,15094643,15159672,15274269,15619283,15689099,15706634,15793763,15923648,16037699,16146122,16307656,16559099,16585034,16628483,16804274,17054631,17147843,17242322,17251499,17355083,17684436,17871923,17914104,18237916,18298797,18334922,18346113,18524003,18695123,18729323,18758180,19335496,19649699,19921283,20153367,20158499,20260043,20732963,20746285,21052900,21158834,21338699,21439403,21752433,22428933,22509816,22658728,22941323,23239763,23669699,23743922,23745885,23865256,24386954,24427043,24558323,24895542,25263480,25310699,25323543,25328944,25491069,25701563,25882322,26188523,26220923,26258708,26521034,26797400,26848413,26855409,26947712,27170941,27177928,27574499,27588124,27830723,28006322,28030204,28309763,28421415,28495062,29167499,29251173,29578403,29637550,29641499,29695154,30019403,30115922,30147075,30182728,30207923,30316176,30427499,30575169,30896699,31052699,31612643,31736723,31970725,31982536,31984499,32156880,32355203,32386043,32909099,33253322,33307523,33876914,33917843,33955569,34105698,34282499,34300672,34513405,34736699,34822825,35326922,35565060,35639699,35889375,35980353,35998883,36173128,36176490,36297323,36386699,36471976,36476003,36624683,36769874,36975434,37247356,37386122,37512440,37630403,37865699,37936064,37953803,38282000,38364870,38510123,38588256,38685203,38815630,38988604,39266723,39382643,39838154,39902699,40020253,40477499,40563443,40694769,40922528,41030973,41207313,41276843,41416086,41702483,41787390,42098123,42201495,42464099,42471122,42678072,42889564,42940643,43067250,43232581,43303499,43411788,43878794,44052803,44135699,44218523,44273699,44573216,44604083,44631563,44702097,44878523,45014928,45046684,45079754,45179483,45407973,45832763,45859883,45907516,45938400,46037844,46578756,47125499,47416285,47625724,48012831,48109403,48746845,48794243,48848594,48977699,49000960,49056325,49291283,49369499,49858653,50144868,50239875,50611163,50641794,50811314,50969843,51680700,51733163,51809099,51951757,52327036,52371122,52736845,52759634,52939499,53113883,53263043,53486243,53589200,53603164,54004523,54027964,54693554,54934633,55030499,55126080,55395445,55450900,55514099,55655114,55802723,55826723,56023845,56185763,56305043,56471699,56874803,56899542,57110843,57171790,57181499,58417883,58496214,58751589,58763723,58801152,58867590,58970363,59267699,59758768,59790443,59809375,59880923,60061499,60172456,60287850,60689483,60956699,61289099,61346728,61465643,61663643,61760830,61882883,62016840,62123123,62463484,62792096,62845322,62882236,63031499,63284214,63288443,63629243,63883499,64036885,64304699,64307040,64702922,64930499,65199443,65384843,65446499,65487563,65741128,65794523,66059099,66151296,66221884,66344637,66375841,66474534,66541080,66546122,67024283,67203203,67228614,67345285,67694013,67726582,67737550,67817445,67827794,68010083,68010314,68299804,68301923,68370856,68594176,68606148,68738954,69015069,69063333,69109499,69526883,69621203,69638350,69768945,69827594,69829576,70294403,70313485,70424099,70516499,70550474,70641108,70700699,70730834,70920683,70977152,70988973,71012003,71519699,71555723,71577928,71771250,71789099,71842763,72021916,72069933,72116373,72198683,72322499,72338608,72345420,72526514,72586499,72742216,72855645,72883523,72883922,72900923,73143683,73198645,73316123,73675643,73760723,73958769,74112996,74384099,74420208,74434163,74666843,74683403,74858715,74900764,74914403,74963699,75012923,75310876,75338350,75404123,75742643,76283243,76328913,76361963,76556000,76752563,76777394,76844262,76917213,76948444,77076803,77168448,77363566,77382323,77670609,77679016,77712688,77714699,77894363,78013499,78235499,78390309,78426443,78524114,78558273,78697994,78847523,78890699,79045322,79136350,79247699,79290203,79346109,79697363,79836203,79849296,79905323,80125163,80356499,80428874,80451083,80525169,80574376,80616124,80692499,80759099,80814342,80852003,81115283,81193643,81285060,81323603,81380934,81517043,81822803,81834993,82011563,82145354,82627763,82639883,82700363,82808723,82854805,83089045,83141699,83235683,83282483,83352443,83456843,83566020,83722734,83867963,84025043,84186122,84260476,84301643,84376182,84421763,84524234,84530123,84680483,84905416,84945083,84976499,85153163,85439099,85758203,85787699,85852825,85957773,86030699,86107403,86125500,86193083,86275036,86315699,86373554,86593499,86704064,86712241,86747723,86756723,86814504,86837363,87041714,87196523,87388893,87425699,87426774,87509099,87673499,87794699,87838374,87918358,87973269,88170443,88200923,88282396,88336499,88373699,88425443,88469483,88683004,88825283,88907699,89009099,89137088,89154563,89197322,89289803,89483356,89561723,89579445,89597603,89668499,89691314,89795483,89823803,89830458,89879843,90019922,90101243,90163499,90199283,90214499,90406020,90489923,90501385,90646163,90646173,90671963,90722699,90776363,90844499,90970163,90995699,91049099,91073613,91090523,91100699,91214099,91235603,91250723,91294883,91297763,91340003,91403843,91441403,91477163,91479196,91490963,91518376,91585283,91607699,91634099,91654322,91698443,91709099,91721699,91724123,91731203,91772699,91780499,91788803,91791923,91801499,91805128,91811003,91812323,91813763,91867200,92498245,92673244,92789834,92966302,93274322,93427917,94261276,94559954,94822630,94955176,94963620,95358794,95518593,95551408,95718693,96103045,96154034,96207550,96215397,96433088,96752260,97542072,97576394,97666317,97901709,97991680,98428561,98934985,99298994,99390556,99425766,99561885,99706854,...,708883959301900367492731863550201573639814245908389710636206577660865518680567343265633638827052581388161768953790163509627555037811896851751259424588507232145534213037450316939968869511625000338378280622458589830568502226699121039299259860242680470801347288677464493164095973709404155056055973300366670751389914615409191793329705490735291961550686227742163875950816460667625216496034529986640291903004667568938971861697415443838281329327584741440324159457036937147992956721856777967276272749941540607225766640011651598334625269449355863666889213557729113367172100838849513267300299823244401264180655131987021939452637709913837308835745334128935035201978845140300530639536576506601985252092282551634636746986445099861366779614532811799822660326702255053030332314009831240298671144332730983769545378289284433949354431182943035923616467850155101474351743067187865735000997824304940593182597271539819453173425622932824068681136168670110672235126099138762463754030071478378034762943316356436995642649936557915156125926096291292186570116533222042770885816706163287950232740668001054253773767261466113336822710246530833733149690404900105682164754601096071034281239883591778669510179206601400669340244051832253657994625279053813504299619854839450661902417930003423971473446294900034211902038726112053336114243909299756881028622165609641545497075592161206620312219833827459691839678777401935571150043499378635015926529368219059911248226838473405827516560876260317860698926161341039331465382568548031532388381428659345533535030502510774876175875829553238751706184861340447548075540598881634837414914496835463028093567285843635682836282208700866915920926351563945489316913949705783418524796883889926860347894235974424456539842992673614891677049083884725018407477083581181744201629889275201595673353593429582939760814338936518620079590185418338641930295355424889800949699340656372842421771691080789507517658708420117840666165152887438031460249092335723616600290990311258492343033867303339493727032354348895790939076749638232537674989175718773527248240943487204528517626987756969337920989038828475810047015885213967402518337311674184546471198767109853693565183230043188336304687591707084953371853144994286522837140073704995831430873742776918112880678957952988327636250088172726011658083618841389239209566087037647438556122214773771627837408680927726774715091635004797102295272092202678772884549855493888380889795767000966046020548025359443826656567767451027885221101328840341497850848877619602221599701342449052188381566831438829158463764844210813543500793211390409910710336784503524014336947510255418495827557428566146942025421940620312936741550083267890644957201178383112556834119130631988319697950136217231789798057768410189766716697197172806667441295602806186107847275053552822193283805861731755507987302290174065241549880217456238455961026096061847455563500979679080083775156308546072078788612526359153856262089054987628538148306984891191741608315191234059758501302488397812670302887447473641988025458381381760742194669486233043460640170270422877143206161}
19165  11346890130143047704469704762209492918931453614310528282985084767364717: {38326,287355,306512,344826,1320591,1818395,2182074,2277779,2351883,2545487,2737163,3234491,3253970,3636410,3904764,4363692,4555082,4632122,4750671,4952339,5092491,5473754,6507260,6966755,6967324,7074770,7479183,7536995,7705763,7808712,8360106,8489724,8498811,8784801,9044394,9263276,9486239,9953320,10382795,10550687,11197485,11790856,11879987,11943984,12459354,13040522,13264713,13436982,13551770,13933192,14067119,14239983,14269199,14351795,14417234,14911311,15072410,15322043,15674841,15791325,16262124,16585851,16711754,16844080,16918559,16971410,17175995,17222154,17611763,18086892,18105971,18660525,18949590,19587971,19696089,19793219,19826387,19904560,20212896,20250831,20365692,20384570,20575451,20611194,20882099,21396527,21584783,21733259,21908091,22105545,22162826,22392630,22739508,22797395,23447725,23559951,23579248,23780687,23885472,24169370,24219183,24287567,24398396,24461484,24877551,25013963,25206411,25609667,25863483,26316125,26409887,26454251,26526654,26770643,26871156,27356874,27502383,27809759,27984719,28137270,28323410,28954979,29003244,29804522,29831570,29905244,30013088,30640874,31350083,31415099,31579350,31651487,31661180,31738251,31912979,32016851,32823385,33148874,33181859,33194056,33496750,33639803,33684640,33764724,33972410,33988092,34356491,34485155,34819994,35037755,35219834,35277071,35615883,35797884,35807212,36067043,36580431,37051067,37298963,37343313,37728410,37775243,37895220,37993416,38288522,38823483,39001564,39388062,39425627,39781551,39978170,40196100,40421568,40766892,41382186,41627627,42009483,42045306,42331322,42683771,42742593,42875840,43458251,43461962,44150171,44456325,44542731,44918267,45173883,45216410,45274092,45474264,45589970,46534106,46559195,46890550,47339186,47420080,47568131,47852500,47973804,48235320,48735755,49018223,49480427,49879983,50138363,50815371,51153160,51158547,51451008,51458954,51785834,52031162,52288922,52650899,52990383,53347590,53535674,53611955,53678387,54259692,54264735,54707964,54943084,55154811,55221448,55463151,55716520,55871034,55930706,56079183,56268660,56308355,56904096,57019643,57244259,57305651,57384395,57423000,57523487,57547305,57882384,58141754,58162703,58223445,58482906,58654994,58762691,58782986,59248163,59532155,59602796,59757231,59824499,59991599,60019904,60220367,60543964,60765983,61100879,61251200,61383792,61591883,62105008,62124129,62279354,62364251,62630687,62681085,62693594,63121322,63296282,63649439,63706683,64017108,64150322,64334346,64600875,65117682,65408795,65818191,66356762,66478204,66859824,66986500,67003955,67272554,67480274,67522392,67534955,67570026,67619631,67724306,67969139,67998602,68302259,68861274,68907600,69056766,69313625,69419051,69769034,69868134,70010147,70502579,70551122,71152271,71438586,71638607,71833931,72234074,73272891,73501440,73609874,73651667,74292239,74698460,74715674,74804306,75215570,75217302,75843119,75866056,75962691,76216971,76655891,76683410,77093066,77404442,77521050,77804219,77994794,77994952,78079355,78335452,78401536,78490120,78490554,78556683,78602795,79139451,80078579,80329487,80383800,80404746,80499914,81041946,81597647,81719114,81911819,82040331,82176410,82307867,82689120,82777355,82873874,83085779,83176350,83482671,83607482,83727851,84246842,84378952,84745043,85309211,85349313,85374755,85430159,85463570,85742720,85757685,86411387,87286970,87581459,87706931,87744321,88201728,88301385,88459516,88543922,88632712,88721440,89113931,89285699,89472410,89638152,89685371,90027395,90197306,90258684,90423260,90431775,90568499,90927770,91474864,91711514,92020092,92084444,92364731,92494571,92641245,92803487,92924426,93025260,93625955,93695226,94138595,94150394,94188144,94267983,94323354,94473722,94646714,94651964,94926321,95193263,95421434,95695000,96093244,96155164,96185555,96460560,96978794,97035551,97054383,97098770,97140860,97383107,97506899,98000819,98611692,98817328,99226944,99307547,99332826,99444554,99614771,99656531,99711801,99811620,99819183,...,945178612402533823323642484733602098186418994544519614181608770214487358240756457687511518436070108517549025271720218012836740050415862469001679232784676309527378950716600422586625159348833333784504374163278119774091336302265494719065679813656907294401796384903285990885461298279205540074741297733822227668519886153878922391106273987647055948734248303656218501267755280890166955328046039982187055870672890091918629148929887258451041772436779655253765545942715916197323942295809037289701696999922054142967688853348868797779500359265807818222518951410305484489562801118466017689733733097659201685574206842649362585936850279885116411780993778838580046935971793520400707519382102008802647002789710068846182329315260133148489039486043749066430213768936340070707109752013108320398228192443641311692727171052379245265805908243924047898155290466873468632468990756250487646667997099073254124243463028719759270897900830577098758241514891560147562980168132185016618338706761971170713017257755141915994190199915410553541501234795055056248760155377629390361181088941551050600310320890668072338365023015288151115763613662041111644199587206533474242886339468128094712374986511455704892680238942135200892453658735776338210659500372071751339066159806452600882536557240004565295297928393200045615869384968149404448152325212399675841371496220812855393996100789548275493749626445103279589119571703202580761533391332504846687902039157625413214997635784631207770022081168347090480931901548454719108620510091397375376517841904879127378046707336681033168234501106070985002274913148453930064100720798508846449886552662447284037458089714458180910448376278267822554561235135418593985755885266274377891366395845186569147130525647965899275386457323564819855569398778512966691209969444774908992268839852366935460897804791239443919681085785248691493439453580557784855907060473899853067932932454208497123229028921441052676690211611226823787554886870516584041946998789780964822133721320415011323124045156404452658302709805798527721252102332850976716899985567625031369664321257982939371356835983675959117227985385104634413396021180285289870024449748898912728628265022813138258086910973390917781739583455609446604495804193325715363782853431606661108574498323702557483840905277270651103515000117563634682210778158455185652279421449383529918074829619698362170449878241236969032953455513339729469727029456270238363846066473991851174519727689334621394694064033812591768875423689934703846961468438453788663801131836826136295466268456598736251175422441918438877951686458947751391334390948520546547613782379338032019115930013673891327770076571421529256033895920827083915655400111023854193276268237844150075778825507509317759597266848289642386397410357880253022288929596230408889921727470408248143796366738070429591045074482309007343983069720232086988733173623274984607948034794749129940751334639572106778366875078061429438384816701812205141682785406650171384197742646521588988811086921645413011335069984530416893737183263298189317367277841842347656259559314977391280853560360563836190941548}
19166  11391885734011814296949883815610229387159738019290287879680746271149337: {57489,268198,383140,459768,517239,880486,1507873,1644406,1760788,1849693,2909432,2984413,3135844,3167446,3273111,3661789,4305526,4835398,4880955,5206352,5454615,5741926,5789713,5818256,5857146,6194326,6334228,6545538,6789988,6832623,6948183,7009789,7120273,7247686,7671613,8134075,8210631,8709155,9096673,9494326,9760890,9972244,10316999,10411616,10450986,10612155,11146808,11319632,11331748,11372989,11579095,11713068,11910289,12059192,12191543,12441650,12445789,12540159,12734586,13086013,13405153,13511389,13566591,13617553,13796998,13894914,14147293,14464273,14738570,14929980,15620989,15725713,15781606,15925312,16039453,16221046,16612472,17080573,17317126,17416490,17598433,17686284,17915976,18114493,18689031,18731389,18772966,18833953,18986644,19345693,19560783,19881748,20155473,20160733,20262289,20327655,20366998,20631842,20768989,20899788,21055100,21233206,21449398,21625851,21682832,22114468,22178173,22608615,22962872,23275489,23672353,23746486,23818006,23960998,24115856,24393186,24460966,24880700,25067631,25245046,25266120,25346173,25457115,25736989,25833231,25834513,26223889,26261452,26950528,27001108,27130338,27154256,27192289,27481592,27577633,27656326,28057693,28424385,28535953,29012413,29044799,29202493,29210788,29276998,29474060,29676433,29768566,29856840,30054289,30189286,30319344,30430993,30497995,30548538,30576855,30900253,30916791,30993889,31087453,31238566,31378198,31413268,31587526,31847296,32075398,32292244,32297233,32389789,32615312,33118198,33170068,33244239,33256966,33588945,33608548,34109262,34295686,34316833,34484644,34502998,34710166,34770973,35368872,35673853,35743846,35828208,36032989,36254055,36390973,36475832,36597594,36669844,36692226,37014673,37048006,37369489,37381555,37390246,37458646,37516360,37899553,38602273,38670992,39299398,39576475,39789981,39842566,40306734,40316998,40520086,40768573,41035311,41196433,41281789,41465926,41492570,42105800,42205905,42317668,42485115,42677398,42878806,42973789,43504866,43725793,44306653,44636989,44706783,44719393,44747355,44759015,44857866,45019632,45130333,45317456,45784093,45865489,45882646,45961311,46271389,46479526,47339398,47369025,47398333,47487844,47491770,47730512,48318767,48751955,48773908,48854086,49116646,49531873,49723311,49791084,49921213,50245125,50526960,50621398,50647086,50657888,50958615,50982138,51403126,51460573,51764644,51764989,51840913,52229991,52377046,52441846,52445713,52517416,52829751,52896289,53042068,53213743,53594800,53696826,53710818,53895424,54011389,54341882,54355856,54818833,55037533,55148998,55176248,55400593,55545313,55661446,55833889,56012644,56060408,56121313,56592615,56619526,56842830,56905789,56990124,57432783,57541153,57681553,58309789,58334998,58502346,58932193,59000989,59082093,59156806,59275100,59275453,59282998,59390308,59412253,59616913,59815625,59967255,60038806,60231844,60294150,60294433,60365456,60415846,60632352,60785659,60854998,60964753,61150338,61397531,61693789,61793398,62073279,62105398,62348989,63061393,63067959,63225286,63318289,63473446,63496983,63892093,63941450,63965072,63968998,64313760,64334353,64710406,64772086,65192943,65818198,65823889,66128989,66382799,66506644,66615046,67033489,67627489,67753828,67824615,67835686,67911138,68211396,68245583,68272573,68384955,68562913,68564998,68601344,68678855,69026810,69473398,69645650,69801159,70335825,70544893,70653844,70765789,71008779,71040289,71130120,71279398,71367313,71778750,71960706,71997766,72332833,72346256,72352980,72594646,72773398,72911389,72943952,72952006,73249366,73539748,73831583,73950868,74394913,74494712,74503495,74644573,74694289,74772244,74991073,75024880,75260806,75679955,75721693,75731398,75872128,75907606,76388989,76564000,76670653,76729740,77020246,77134333,77176512,77188431,77370406,77553623,77631260,77678751,77726353,77816353,77950813,77977208,78040093,78046743,78433383,78533446,78765286,79046113,79471633,79513789,79676308,79805398,79931389,80021385,80040506,80137489,80303511,80382433,80704993,80904253,80954998,81126886,81297373,81336289,81389538,81491233,81845056,81873553,82061946,82136893,82414626,82506973,82553686,82616593,82652989,82797853,82832172,83048593,83097755,83400673,83404966,83574013,83574780,83711389,83733125,83806551,83896059,84049789,84196246,84216289,84402990,84928198,84942244,85356144,85453213,85513693,85779128,85811773,85881286,85958113,86134500,86188513,86216989,86358289,86465162,86606998,86771389,86823576,87212631,87398653,87449053,87696733,87724359,87757588,87793789,87982491,88054753,88105606,88170493,88174479,88271398,88284433,88374289,88437046,88547398,88889233,88930273,89091553,89146432,89208166,89263126,89305789,89381533,89404194,89492989,89651639,89757046,89862673,89946013,90029856,90091489,90093368,90159508,90261373,90358966,90379453,90534289,90718753,90743953,90815946,90865633,91034653,91066513,91076989,91118173,91315489,91357789,91398289,91502113,91567633,91625953,91652413,91665526,91686433,91719766,91743889,91773373,91779133,91799293,91811389,91815032,91832593,91876800,92075688,93157512,93373075,93419031,94040391,94250998,94283399,94681983,94832570,94944423,95251448,96025662,96218806,96225483,96501519,97493690,97588486,97676523,97697188,97919315,97955398,98001920,98112650,98438879,98582566,98738998,99535143,99717306,...,1417767918603800734985463727100403147279628491816779421272413155321731037361134686531267277654105162776323537907580327019255110075623793703502518849177014464291068426074900633879937739023250000676756561244917179661137004453398242078598519720485360941602694577354928986328191947418808310112111946600733341502779829230818383586659410981470583923101372455484327751901632921335250432992069059973280583806009335137877943723394830887676562658655169482880648318914073874295985913443713555934552545499883081214451533280023303196669250538898711727333778427115458226734344201677699026534600599646488802528361310263974043878905275419827674617671490668257870070403957690280601061279073153013203970504184565103269273493972890199722733559229065623599645320653404510106060664628019662480597342288665461967539090756578568867898708862365886071847232935700310202948703486134375731470001995648609881186365194543079638906346851245865648137362272337340221344470252198277524927508060142956756069525886632712873991285299873115830312251852192582584373140233066444085541771633412326575900465481336002108507547534522932226673645420493061667466299380809800211364329509202192142068562479767183557339020358413202801338680488103664507315989250558107627008599239709678901323804835860006847942946892589800068423804077452224106672228487818599513762057244331219283090994151184322413240624439667654919383679357554803871142300086998757270031853058736438119822496453676946811655033121752520635721397852322682078662930765137096063064776762857318691067070061005021549752351751659106477503412369722680895096151081197763269674829828993670926056187134571687271365672564417401733831841852703127890978633827899411566837049593767779853720695788471948848913079685985347229783354098167769450036814954167162363488403259778550403191346707186859165879521628677873037240159180370836677283860590710849779601899398681312745684843543382161579015035317416840235681332330305774876062920498184671447233200581980622516984686067734606678987454064708697791581878153499276465075349978351437547054496481886974409057035253975513938675841978077656951620094031770427934805036674623348369092942397534219707387130366460086376672609375183414169906743706289988573045674280147409991662861747485553836225761357915905976655272500176345452023316167237682778478419132174075294877112244429547543255674817361855453549430183270009594204590544184405357545769099710987776761779591534001932092041096050718887653313135534902055770442202657680682995701697755239204443199402684898104376763133662877658316927529688421627087001586422780819821420673569007048028673895020510836991655114857132293884050843881240625873483100166535781289914402356766225113668238261263976639395900272434463579596115536820379533433394394345613334882591205612372215694550107105644386567611723463511015974604580348130483099760434912476911922052192123694911127001959358160167550312617092144157577225052718307712524178109975257076296613969782383483216630382468119517002604976795625340605774894947283976050916762763521484389338972466086921280340540845754286412322}
19167  11437058486347461355303070919080507952896072520402199998117053696825433: {76652,402297,478925,574710,613024,689652,1320729,2200985,2466609,2545753,2641182,3234829,3578993,3636790,3919805,4364148,4555558,4703766,4751169,5090974,5474326,6458289,6468982,6507940,7253097,7272820,7809528,7917785,8487485,8612889,8727384,8785719,9110164,9264244,9291489,9426653,9501342,9753457,9818307,9904678,10115009,10184982,10551793,10871529,10947508,12465305,13014520,13933510,13934648,14149540,14164685,14241489,14535913,14641335,14958366,15073990,15411526,15617424,15676479,16624777,16720212,16979448,16997622,17413649,17569602,18088788,18107869,18526552,18662475,18972478,19101879,19906640,20092513,20695497,20765590,20842371,21101374,22107855,22121833,22394970,23028353,23581712,23672409,23733305,23759974,23887968,24046393,24290113,24331569,24852185,24918708,25509289,25975689,26081044,26124735,26318875,26529426,26873964,27103540,27643085,27866384,28134238,28159449,28479966,28538398,28622569,28703590,28834468,29822622,30144820,30367417,30550497,30644086,30947763,31100875,31146209,31349682,31582650,31849809,31916353,32174097,32524248,32644169,32826815,33171702,33423508,33688160,33751385,33837118,33942820,34351990,34444308,35110993,35223526,35280769,35619729,35727009,35941497,36173784,36211942,36513485,36570077,36589779,36691449,36765233,36842575,37321050,37867569,37899180,39175942,39266585,39392178,39586438,39606313,39652774,39809120,40365305,40425792,40501662,40695507,40731384,40769140,41084153,41150902,41222388,41445629,41462585,41484489,41764198,42010685,42132257,42793054,43038733,43105805,43169566,43466518,43816182,43915497,44211090,44281277,44325652,44643469,44652849,44785260,45283929,45479016,45594790,45822807,45837305,45952739,46850057,46857849,46895450,47067297,47119902,47158496,47381289,47561374,47770944,48113097,48129533,48279217,48338740,48438366,48575134,48796792,48922968,49052857,49461569,49677297,49732793,49755102,49885449,50027926,50202769,50412822,51163893,51219334,51443529,51726966,51754497,52065249,52632250,52819774,52897085,52908502,53053308,53427473,53541286,53615769,53742312,54713748,54896391,55004766,55038339,55572009,55619518,55686073,55759373,55969438,56085369,56187969,56274540,56646820,57286169,57909958,58006488,58949097,59053193,59254429,59359805,59609044,59663140,59763849,59801089,59810488,60026176,60460101,60475497,60780129,60967385,61281748,61559873,62198889,62238855,62700166,62830198,63158700,63302974,63322360,63476502,63825958,64016097,64033702,64318209,64705805,65182873,65257299,65646770,65691593,66297748,66302585,66363718,66388112,66993500,67279606,67286799,67369280,67529448,67944820,67976184,68230057,68712982,68823969,68970310,69466013,69639988,69719289,70015805,70075510,70439668,70554142,71009097,71231766,71237655,71595768,71614424,72134086,73012049,73160862,73281129,73674969,74093875,74102134,74229353,74237885,74263337,74597926,74686626,74838433,74930237,75056737,75289805,75456820,75490973,75550486,75790440,75932097,75970629,75986832,76473207,76577044,76835393,77104689,77646966,78003128,78565569,78662769,78776124,78831697,78851254,79090649,79563102,79606673,79745993,79956340,80338153,80392200,80545239,80566227,80642033,80843136,81512823,81533784,82316569,82723497,82764372,83133305,83255254,83345017,83492169,83717369,84018966,84090612,84662644,84692285,84929289,85264245,85367542,85485186,85751680,85848857,86916502,86923924,87502497,87753519,88087229,88300342,88317305,88735209,88912650,88924497,89085462,89632777,89836534,90058209,90137213,90347766,90432820,90441225,90548184,90623769,90948528,91179940,91188449,91282497,91572313,91725507,91924685,92370793,92438585,92690097,93068212,93118390,93158097,93465305,93781100,93805537,94548937,94678372,94837929,94840160,95136262,95210169,95616377,95705000,95870569,95912175,95947608,95953497,96470640,96804877,97039075,97065609,97158129,97471510,98036446,98416169,98727297,98765657,98960854,99595385,99601793,99759966,99922569,...,2126651877905701102478195590650604720919442737725169131908619732982596556041702029796900916481157744164485306861370490528882665113435690555253778273765521696436602639112350950819906608534875001015134841867375769491705506680097363117897779580728041412404041866032393479492287921128212465168167919901100012254169743846227575379989116472205875884652058683226491627852449382002875649488103589959920875709014002706816915585092246331514843987982754224320972478371110811443978870165570333901828818249824621821677299920034954795003875808348067591000667640673187340101516302516548539801900899469733203792541965395961065818357913129741511926507236002386805105605936535420901591918609729519805955756276847654903910240959335299584100338843598435399467980980106765159090996942029493720896013432998192951308636134867853301848063293548829107770849403550465304423055229201563597205002993472914821779547791814619458359520276868798472206043408506010332016705378297416287391262090214435134104288829949069310986927949809673745468377778288873876559710349599666128312657450118489863850698222004003162761321301784398340010468130739592501199449071214700317046494263803288213102843719650775336008530537619804202008020732155496760973983875837161440512898859564518351985707253790010271914420338884700102635706116178336160008342731727899270643085866496828924636491226776483619860936659501482379075519036332205806713450130498135905047779588104657179733744680515420217482549682628780953582096778484023117994396147705644094597165144285978036600605091507532324628527627488659716255118554584021342644226621796644904512244743490506389084280701857530907048508846626102600747762779054691836467950741849117350255574390651669780581043682707923273369619528978020844675031147251654175055222431250743545232604889667825604787020060780288748819282443016809555860238770556255015925790886066274669402849098021969118527265315073242368522552976125260353521998495458662314094380747277007170849800872970933775477029101601910018481181097063046687372817230248914697613024967527156320581744722830461613585552880963270908013762967116485427430141047655641902207555011935022553639413596301329561080695549690129565008914062775121254860115559434982859568511420221114987494292621228330754338642036873858964982908750264518178034974250856524167717628698261112942315668366644321314883512226042783180324145274905014391306885816276608036318653649566481665142669387301002898138061644076078331479969703302353083655663303986521024493552546632858806664799104027347156565144700494316487475391294532632440630502379634171229732131010353510572043010842530766255487482672285698440826076265821860938810224650249803671934871603535149337670502357391895964959093850408651695369394173305230569300150091591518420002323886808418558323541825160658466579851417585195266523961906870522195724649640652368715367883078288185542366690502939037240251325468925638216236365837579077461568786267164962885614444920954673575224824945573702179275503907465193438010908662342420925964076375144145282226584008458699130381920510811268631429618483}
19168  11482409079579674006531407809775679847569725003723340703421669622896660: {95815,114978,210727,536396,555031,766280,862065,898687,919536,1034478,1698031,1760972,2493847,2607247,3015746,3173167,3288812,3521576,3699386,3961773,4748167,4860127,5083831,5455185,5818864,5968826,6271688,6334892,6546222,6833337,7055649,7323578,7636461,7855831,8134925,8211489,8404831,8611052,8733367,9091025,9670796,9703473,9761910,10412704,10909230,11387705,11483852,11579426,11580305,11636512,11714292,11983087,12192817,12388652,12668456,13091076,13579976,13665246,13684385,13896366,14019578,14240546,14252013,14495372,14641687,14857017,15168007,15277473,15343226,15378031,15692527,16110847,16210733,16268150,16421262,16632127,17418310,17686925,17772607,18193346,18493831,18988652,19006831,19521780,19722007,19944488,20027431,20633998,20823232,20900265,20901972,21224310,21242647,21343447,22047031,22293616,22437549,22547431,22610985,22639264,22663496,22745978,22846807,23117289,23158190,23426136,23820578,24118384,24235327,24383086,24883300,24891578,25080318,25469172,25496433,25512031,26172026,26291647,26354403,26485831,26679727,26810306,27022778,27133182,27235106,27452431,27593996,27644887,27789828,28294586,28458717,28928546,29477140,29648287,29859960,31148385,31241978,31451426,31563212,31652061,31850624,31991887,32078906,32442092,32455207,32601305,33224944,33592455,33879425,34017031,34161146,34634252,34832980,35196866,35372568,35377831,35639961,35831952,36043085,36228986,36454807,37378062,37462778,37545932,37667906,37681025,37874647,37973288,38314567,38691386,38752687,39121566,39363031,39623527,39763496,39794139,39969847,40310946,40321466,40524578,40655310,40733996,41263684,41343607,41537978,41779385,41799576,42110200,42201357,42361831,42428525,42466412,42697193,42719949,42807597,42898796,43055385,43251702,43365664,43369687,44228936,44284447,44356346,44733933,45026407,45217230,45925744,45966129,46087831,46550978,47024523,47344706,47373975,47492972,47636012,47697031,47921996,48231712,48786372,48921932,49042207,49757553,49761400,50135262,50490092,50532240,50675167,50692346,50755677,50914230,50961425,51212431,51473978,51527985,51666462,51669026,52334177,52447778,52522904,52835289,53102431,53251687,53697727,53901056,54002216,54260676,54308512,54317913,54384578,54963184,55155266,55165807,55311031,55312652,55407065,55981575,56115386,56247967,56848770,56889487,57071906,57243367,58015567,58024826,58089598,58404986,58421576,58553996,58763913,58948120,59088267,59328847,59352866,59379657,59479161,59537132,59713680,60108578,60378572,60423425,60638688,60750127,60752493,60861986,60883831,60995990,61097076,61153710,61680007,61726353,61800506,61833582,61987778,62174906,62477132,62646297,62662621,62756396,62826536,62888969,62983927,63048367,63175052,63177031,63625087,63694592,63816031,64150796,64189581,64322047,64584488,64594466,64754349,64779578,64948087,65072431,65196487,65199777,65230624,65505367,65724273,66236396,66316635,66340136,66481687,66488478,66513932,67177890,67217096,67498831,67794031,67936913,68204287,68218524,68252737,68392185,68591372,68633666,68956831,68969288,69005996,69420332,69541946,70090831,70343175,70679853,70737744,70808525,70922431,71342061,71347706,71487692,71576047,71630047,71656416,71837597,72065978,72378487,72508110,72657549,72781946,72862701,72951664,72956647,73164727,73195188,73339688,73384452,73577431,74029346,74096012,74238247,74489167,74511305,74578925,74632653,74738978,74763110,74780492,74917292,74936287,74985607,75032720,75041889,75328831,75619233,75799106,75909007,76525831,76602185,76829001,76852927,76899367,77204546,77341984,77541967,77590449,78479407,78567031,78598796,78871447,78948375,79152950,79229661,79342687,79362753,79579962,79685132,79929847,80311929,80613468,80633996,80784127,80863831,81040172,81452431,81537146,82070622,82392866,82471087,82507149,82563578,82872185,82931852,82942831,82985140,83429277,83472031,83741875,83954157,84052207,84211600,84411810,84635336,84643831,84740167,84931025,84970230,85025287,85273831,85354796,85757612,85816207,85947578,86107447,86307031,86864937,87009732,87049985,87303367,87451586,87455647,87703687,87873031,88049585,88108831,88515127,88613306,88730767,89040727,89273978,89372431,89413566,89438786,89494710,89518030,89594047,89683327,89715732,89989831,90022447,90039264,90260666,90376831,90420247,90519031,90634912,90680167,90756847,90902431,91015831,91037647,91142407,91286047,91295047,91338967,91510831,91545031,91568186,91674127,91725607,91730978,91734031,91761247,91765292,91778527,91810207,91825831,91842031,91844407,91851031,91922622,92542778,92959052,94050249,94245297,94321025,94678796,94738050,94796666,94954461,94975688,94983540,95214753,95461024,95721305,95738937,96050553,96150397,96637534,97503910,97547816,97708172,98233292,98470155,99063746,99446622,99545577,99582168,99842426,99945425,...,2835535837207601469970927454200806294559256983633558842544826310643462074722269373062534555308210325552647075815160654038510220151247587407005037698354028928582136852149801267759875478046500001353513122489834359322274008906796484157197039440970721883205389154709857972656383894837616620224223893201466683005559658461636767173318821962941167846202744910968655503803265842670500865984138119946561167612018670275755887446789661775353125317310338965761296637828147748591971826887427111869105090999766162428903066560046606393338501077797423454667556854230916453468688403355398053069201199292977605056722620527948087757810550839655349235342981336515740140807915380561202122558146306026407941008369130206538546987945780399445467118458131247199290641306809020212121329256039324961194684577330923935078181513157137735797417724731772143694465871400620405897406972268751462940003991297219762372730389086159277812693702491731296274724544674680442688940504396555049855016120285913512139051773265425747982570599746231660624503704385165168746280466132888171083543266824653151800930962672004217015095069045864453347290840986123334932598761619600422728659018404384284137124959534367114678040716826405602677360976207329014631978501116215254017198479419357802647609671720013695885893785179600136847608154904448213344456975637199027524114488662438566181988302368644826481248879335309838767358715109607742284600173997514540063706117472876239644992907353893623310066243505041271442795704645364157325861530274192126129553525714637382134140122010043099504703503318212955006824739445361790192302162395526539349659657987341852112374269143374542731345128834803467663683705406255781957267655798823133674099187535559707441391576943897697826159371970694459566708196335538900073629908334324726976806519557100806382693414373718331759043257355746074480318360741673354567721181421699559203798797362625491369687086764323158030070634833680471362664660611549752125840996369342894466401163961245033969372135469213357974908129417395583163756306998552930150699956702875094108992963773948818114070507951027877351683956155313903240188063540855869610073349246696738185884795068439414774260732920172753345218750366828339813487412579977146091348560294819983325723494971107672451522715831811953310545000352690904046632334475365556956838264348150589754224488859095086511349634723710907098860366540019188409181088368810715091538199421975553523559183068003864184082192101437775306626271069804111540884405315361365991403395510478408886398805369796208753526267325755316633855059376843254174003172845561639642841347138014096057347790041021673983310229714264587768101687762481251746966200333071562579828804713532450227336476522527953278791800544868927159192231073640759066866788788691226669765182411224744431389100214211288773135223446927022031949209160696260966199520869824953823844104384247389822254003918716320335100625234184288315154450105436615425048356219950514152593227939564766966433260764936239034005209953591250681211549789894567952101833525527042968778677944932173842560681081691508572824644}
19169  11527938208825225732233045357450323704707195155490096226292929928777154: {153304,172467,670495,804594,957850,1149420,1226048,1379304,1551717,2201215,2641458,3081379,3579367,4000051,4111015,4229719,4401970,4523619,4933218,5091506,5282364,5487727,5549079,6469658,7157986,7273580,7782247,7839610,7918615,8728296,8953239,9111116,9407532,9502338,9819333,10076767,10181948,10535671,10763815,10948652,10985367,11084899,11882479,12088495,12916578,12937964,13015880,14354815,14506194,14545640,14642865,14906947,15485815,15619056,15835570,16363845,16579651,16974970,17225778,17369139,17451427,17454768,17571438,18119215,18220328,18528488,18582978,18668551,18853306,19002684,19506914,19636614,19809356,19830559,20230018,20369964,20497869,20579767,20844549,21029367,21103586,21360819,21743058,21895016,22423027,23014839,23030767,23677039,23735815,24402225,24631893,24930610,25615039,25737571,25901059,26029040,26127465,26586307,26906359,27290019,27867020,27869296,28299080,28329370,28482978,29071826,29282670,29336719,29400739,29916732,30147980,30823052,30950997,31104125,31155751,31234848,31352958,31836465,32023567,32085247,32647591,32710567,32814727,33226627,33249554,33440424,33750751,33958896,33995244,34118967,34492495,34737285,34793059,34827298,34895491,35139204,35730867,36177576,36215738,36574629,36769087,36846425,37053104,37058839,37324950,37337367,37369651,37413919,37620477,37944956,38203758,38558659,38700319,39258039,39263071,39454015,39813280,40185026,40215459,40534167,40552615,40699773,40852659,40872439,41390994,41501251,41531180,41636359,41684742,42202748,42441879,43292815,43392819,43467367,43541225,43975987,44215710,44243666,44789940,44927719,45957541,46056706,46127911,46862967,46932415,47163424,47177139,47251939,47344818,47466610,47500879,47519948,47725759,47775936,48092786,48118359,48553999,48580226,48663138,48775567,49170631,49490839,49704370,49738051,49837416,50148967,50917495,51018578,51118879,51241719,51579605,51951378,52162088,52249470,52637750,52795299,53058852,53083015,53623495,53747928,53791831,54207080,54343479,54973219,55286170,55732768,55817239,56067093,56194167,56268476,56318898,56501859,56511427,56863519,56959932,57076796,57245138,57407180,57668936,57734839,58037079,58047619,58682349,58775119,58814959,59366215,59545015,59604847,59645244,59897359,59902495,60156991,60289640,60348127,60466419,60482199,60734834,60786867,60982965,61100994,61152415,61288172,61895526,62201750,62204479,62292418,62306967,62699364,63112615,63125827,63141559,63165300,63573187,63699618,63832706,64172227,64348194,64877553,65048496,65288338,65653630,66316531,66343404,66534519,66847016,67376320,67502770,67674236,67825845,67885640,68703980,68802211,68888616,69140815,69826467,70024879,70221986,70447052,70561538,71017059,71118847,71239458,71454018,71882994,72215191,72347568,72423884,72854599,72898339,73026970,73140154,73179558,73192495,73382898,73530466,73685150,74055919,74421415,74642100,74938159,75202893,75473215,75493567,75686287,75735138,75798360,76038519,76371345,76593031,76843519,77210967,77478367,77499693,77503539,77635519,78096415,78351884,78445495,78533170,78671667,78784356,78968815,79172876,79212626,79305548,79618240,79707919,80188495,80697247,80730610,80851584,81003324,81391014,81462768,81538280,81576867,81992359,82168306,82301804,82444776,82449247,82732899,82737127,82795495,82891258,82925170,82968978,83103727,83142415,83528396,83745559,84021370,84173079,84264514,84351751,85273155,85354339,85586108,85607859,85739215,85874851,86077466,86211610,86257495,86286967,86339132,86720419,86775415,86933036,87037239,87134397,87607479,87632364,87725599,87830994,88422180,88562554,88651304,88703491,89029299,89286938,89305698,89359615,89570520,90129331,90162867,90394051,90530467,90567858,90588127,90778759,90958032,91189580,91292979,91493985,91645614,91674610,91730565,91886239,91905478,92097847,92384167,92620015,92700759,92750373,92823619,92981667,93262359,93470767,93475615,93646615,93700114,93715698,93790900,93936679,94009927,94134594,94239804,94316992,94762578,95122748,95541888,96015667,96226194,96259066,96558434,96677480,96876732,96891699,97150268,97169367,97403599,97593584,97845936,98022127,98105714,98248495,98419651,98776099,98923138,98938207,99354594,99465586,99510204,99515791,99606415,99635839,99732717,99770898,...,4253303755811402204956391181301209441838885475450338263817239465965193112083404059593801832962315488328970613722740981057765330226871381110507556547531043392873205278224701901639813217069750002030269683734751538983411013360194726235795559161456082824808083732064786958984575842256424930336335839802200024508339487692455150759978232944411751769304117366452983255704898764005751298976207179919841751418028005413633831170184492663029687975965508448641944956742221622887957740331140667803657636499649243643354599840069909590007751616696135182001335281346374680203032605033097079603801798939466407585083930791922131636715826259483023853014472004773610211211873070841803183837219459039611911512553695309807820481918670599168200677687196870798935961960213530318181993884058987441792026865996385902617272269735706603696126587097658215541698807100930608846110458403127194410005986945829643559095583629238916719040553737596944412086817012020664033410756594832574782524180428870268208577659898138621973855899619347490936755556577747753119420699199332256625314900236979727701396444008006325522642603568796680020936261479185002398898142429400634092988527606576426205687439301550672017061075239608404016041464310993521947967751674322881025797719129036703971414507580020543828840677769400205271412232356672320016685463455798541286171732993657849272982453552967239721873319002964758151038072664411613426900260996271810095559176209314359467489361030840434965099365257561907164193556968046235988792295411288189194330288571956073201210183015064649257055254977319432510237109168042685288453243593289809024489486981012778168561403715061814097017693252205201495525558109383672935901483698234700511148781303339561162087365415846546739239057956041689350062294503308350110444862501487090465209779335651209574040121560577497638564886033619111720477541112510031851581772132549338805698196043938237054530630146484737045105952250520707043996990917324628188761494554014341699601745941867550954058203203820036962362194126093374745634460497829395226049935054312641163489445660923227171105761926541816027525934232970854860282095311283804415110023870045107278827192602659122161391099380259130017828125550242509720231118869965719137022840442229974988585242456661508677284073747717929965817500529036356069948501713048335435257396522225884631336733288642629767024452085566360648290549810028782613771632553216072637307299132963330285338774602005796276123288152156662959939406604706167311326607973042048987105093265717613329598208054694313130289400988632974950782589065264881261004759268342459464262020707021144086021685061532510974965344571396881652152531643721877620449300499607343869743207070298675341004714783791929918187700817303390738788346610461138600300183183036840004647773616837116647083650321316933159702835170390533047923813741044391449299281304737430735766156576371084733381005878074480502650937851276432472731675158154923137572534329925771228889841909347150449649891147404358551007814930386876021817324684841851928152750288290564453168016917398260763841021622537262859236966}
19170  11573646571898331062186132318900879042214744127656056506092159577950556: {134141,191630,229956,249041,421454,555089,593309,1072792,1110062,1206891,1436775,1532560,1584221,1698209,1724130,1797374,1839072,1850081,1925969,2068956,2645309,2985041,3396062,3521944,3624989,3737681,3962187,4000349,4225181,4748669,4860641,4987694,5121629,5214494,5865149,6031492,6235709,6346334,6577624,6602955,6900701,7011281,7043152,7195421,7398772,7399827,7452881,7637259,7893329,7923546,8222909,8551841,8952989,9091975,9171389,9316829,9496334,9498449,9704487,9720254,10167662,10728161,10736979,10908221,10910370,11388895,11447201,11637728,11698109,11759415,11937652,11984381,12091601,12519761,12543376,12669784,12727435,13088849,13092444,13266269,13408061,13666674,13685815,13691261,13938641,14111298,14150369,14220881,14253507,14647156,15204689,15272922,15694241,15711662,15729149,15798941,15942787,16112609,16147421,16172455,16212427,16269850,16422978,16772669,16809662,17084321,17153489,17222104,17257181,17360801,17466734,17671229,18182050,18530129,18838109,19008929,19043069,19158139,19341592,19374867,19406946,19523820,19758161,20029649,20266781,20368289,20825408,21245009,21446561,21759291,21781841,21818460,22082909,22383329,22549949,22775410,22882589,22967704,23048609,23158852,23160610,23273024,23346941,23428584,23545469,23753355,23966174,24385634,24566609,24761695,24777304,25025249,25253981,25336912,25417121,25462455,25838667,26182152,26294621,26327009,26357157,26682749,27159952,27198461,27330492,27368770,27648029,27792732,27874467,28039156,28064081,28127969,28279959,28415069,28481092,28504026,28990744,29260371,29283374,29454921,29588561,29683229,29714034,30029729,30336014,30345027,30532001,30554946,30686452,30756062,30907361,31001021,31063421,31385054,31437149,31655379,32221694,32366429,32421466,32458961,32489789,32536300,32614587,32842524,33012641,33264254,33288509,34020989,34142621,34385501,34506749,34833775,34836620,35141201,35291741,35373850,35545214,36280289,36386692,36399521,36459089,36488861,36987662,37395915,37437341,37684975,37908509,37967261,37977304,38013662,38319101,38348369,38523809,38528815,38611421,39043560,39367709,39396689,39444014,39483581,39888976,40003421,40054862,40405949,40577981,40835489,41206301,41267996,41348561,41646464,41800530,41803944,41972129,42226109,42395069,42448620,42485294,42494055,42686894,42724467,43207649,43319201,43607739,43924005,44094062,44151761,44234621,44317409,44372561,44587232,44730269,44875098,45094862,45141329,45196001,45221970,45278528,45326992,45491956,45641827,45686609,45693614,45849569,46234578,46316380,46336721,46525469,46852272,47029437,47142881,47223101,47410001,47431195,47641156,47702909,47888801,48236768,48470654,48766172,49387901,49544189,49596221,49766600,49783156,49874331,49933649,50160636,50295521,50460319,50630141,50707169,50938344,50992866,51024062,51752669,51828641,51913975,52240947,52344052,52583294,52708806,52753435,52959581,52971662,53134049,53283281,53359454,53620612,54025121,54045556,54266364,54323607,54470212,54735389,54832829,54904862,55172861,55187992,55197089,55289774,55342289,55579656,55987425,56564861,56589172,56754749,56917434,56920481,56967761,57203681,57305637,57344849,57462269,57556061,57857092,58046369,58162589,58324961,58371281,58491139,58648529,58954280,58993469,59130941,59296574,59336609,59399935,59632541,59677949,59719920,59881889,60040061,60277539,60914129,61224929,61556189,61710161,62086491,62213309,62296770,62365601,62409041,62483956,62527113,62884769,62902852,63078269,63126424,63206909,63304122,63313889,63654881,63701248,63761021,63983774,64157812,64225661,64351709,64456529,64540241,64707281,64884184,64894589,64910414,65202610,65225981,65473181,65575841,66147041,66187601,66323565,66365499,66449888,66510929,67184910,67230929,67389521,67527869,67758850,67920989,68034062,68213729,68233181,68322292,68330321,68504669,68581949,68813021,68985569,69085059,69268504,69665960,69706961,69819809,70100669,70335595,70393732,70601681,70745136,70755662,70785761,70950749,71017227,71042129,71199915,71279922,71345995,71640221,71663904,71748029,71758975,71873441,71927069,72086170,72139179,72388829,72457972,72870339,72909614,72967121,72994707,73485281,74198609,74323327,74416541,74466641,74516669,74556555,74699489,74756124,74765729,74925556,74996561,75012989,75045821,75091864,75193169,75335812,75356129,75362050,75647441,75749294,75776081,75929491,75946576,76364381,76443041,76527867,76610215,76629134,76646621,76724561,76786769,77157329,77382772,77505374,77569891,77839709,77869661,77927067,77974241,78004049,78137789,78243132,78315101,78374205,78680801,78726062,78926621,78956625,79070141,79098749,79247054,79326461,79495901,79526992,79588278,79872929,79939694,79955921,80162141,80289079,80393681,80434301,80488349,80528801,80609489,80621892,80642932,80729981,80836541,80889629,80929361,81049156,81192401,81270689,81310620,81467992,81478049,81593789,81657809,81899261,82037729,82187681,82237409,82527368,82533089,82667069,82687214,82775969,82848209,82929255,83075956,83275601,83310749,83392481,83427389,83496989,83558770,83599152,83658269,83738321,83761121,83897249,83998589,84065789,84076961,84220400,84243581,84265661,84342689,84402714,84478347,84495569,84592795,84700541,84723662,84754001,84857050,84932824,84976349,85018301,85257041,85328861,85394386,85439898,85481441,85541969,85615194,85797592,85800929,85830461,85840289,85867707,85879975,85986749,86110770,86236349,86321489,86359121,86387261,86405981,86503404,86573021,86682941,86731328,86739374,86791709,86872529,86961569,87067361,87318269,87445409,87479009,87677921,87726929,87824081,87840161,87864221,87896189,88014929,88058815,88100861,88216481,88247009,88269821,88315229,88330301,88405181,88420061,88457872,88537949,88568894,88712692,88746401,88830689,88872401,88975421,89096669,89123261,89337761,89388449,89394749,89467866,89482109,89525201,89628221,89669969,89699549,89734781,89861501,89928989,90011729,90038909,90044321,90052814,90187421,90249149,90264401,90434460,90441809,90529855,90540509,90577181,90608849,90723041,90778109,90786461,90827741,90848081,90864209,90981089,91033169,91076561,91101341,91102251,91111841,91153121,91159889,91222589,91312721,91315709,91330529,91356701,91433981,91531169,91538141,91542749,91563089,91595549,91603901,91628189,91639901,91645649,91651491,91667921,91692449,91726301,91739729,91752509,91753889,91781021,91797149,91801469,91810721,91812689,91839101,91845329,91848509,91850321,91851488,91859681,91863389,91868129,91870109,91870781,91871069,91932258,92175662,92843289,93101956,93302625,93438627,94049046,94689412,94747950,94985944,95272024,95394062,95549427,95749059,95843992,96463424,96522291,97572744,97843864,97932507,97939855,98084414,98480445,98966095,99131935,99515106,99522800,...,6379955633717103307434586771951814162758328213175507395725859198947789668125106089390702749443473232493455920584111471586647995340307071665761334821296565089309807917337052852459719825604625003045404525602127308475116520040292089353693338742184124237212125598097180438476863763384637395504503759703300036762509231538682726139967349416617627653956176049679474883557348146008626948464310769879762627127042008120450746755276738994544531963948262672962917435113332434331936610496711001705486454749473865465031899760104864385011627425044202773002002922019562020304548907549645619405702698409199611377625896187883197455073739389224535779521708007160415316817809606262704775755829188559417867268830542964711730722878005898752301016530795306198403942940320295477272990826088481162688040298994578853925908404603559905544189880646487323312548210651395913269165687604690791615008980418744465338643375443858375078560830606395416618130225518030996050116134892248862173786270643305402312866489847207932960783849429021236405133334866621629679131048798998384937972350355469591552094666012009488283963905353195020031404392218777503598347213644100951139482791409864639308531158952326008025591612859412606024062196466490282921951627511484321538696578693555055957121761370030815743261016654100307907118348535008480025028195183697811929257599490486773909473680329450859582809978504447137226557108996617420140350391494407715143338764313971539201234041546260652447649047886342860746290335452069353983188443116932283791495432857934109801815274522596973885582882465979148765355663752064027932679865389934713536734230471519167252842105572592721145526539878307802243288337164075509403852225547352050766723171955009341743131048123769820108858586934062534025093441754962525165667293752230635697814669003476814361060182340866246457847329050428667580716311668765047777372658198824008208547294065907355581795945219727105567658928375781060565995486375986942283142241831021512549402618912801326431087304805730055443543291189140062118451690746744092839074902581468961745234168491384840756658642889812724041288901349456282290423142966925706622665035805067660918240788903988683242086649070388695026742188325363764580346678304948578705534260663344962482877863684992263015926110621576894948726250793554534104922752569572503152886094783338826947005099932963944650536678128349540972435824715043173920657448829824108955960948699444995428008161903008694414184932228234994439909109907059250966989911959563073480657639898576419994397312082041469695434101482949462426173883597897321891507138902513689196393031060531716129032527592298766462448016857095322478228797465582816430673950749411015804614810605448013011507072175687894877281551225955086108182519915691707900450274774555260006971660425255674970625475481975399739554252755585799571885720611566587173948921957106146103649234864556627100071508817111720753976406776914648709097512737232384706358801494888656843334762864020725674474836721106537826511722395580314032725987027262777892229125432435846679752025376097391145761532433805894288855449}
19171  11619534869321037867205550625044911992872327988393598737375913830962593: {287445,306608,344934,632181,938693,1340990,1609188,1665093,1915700,2298840,2452096,2586195,2696061,2758608,3081701,3103434,4000469,4230161,4402430,4727333,5094093,5282916,5755421,6162758,7158734,7481541,7539365,7821741,8000102,8222030,8459438,8803940,9047238,9197201,9248465,9519501,9866436,10183012,10564728,10975454,11086061,11098158,11262269,11885319,12939316,14244501,14315972,14547160,14580381,14922065,15069341,15251493,15326861,15564494,15679220,15837230,16365555,16581389,16923893,17456592,17617301,17906478,18222232,18308945,18815064,19004676,19594133,19638666,20096741,20153534,20363896,20500011,21071342,21166947,21527630,21680141,21740093,21897304,21970734,22062833,22169798,22842149,22909383,23567493,23679521,23764958,24176990,24404775,24634467,25214493,25366901,25740269,25833156,25875928,26031760,26200101,26462573,26499941,26779061,27273075,28628573,28709630,28948565,29012388,29091280,29110419,29285730,29403821,29813894,30071813,30971630,31238112,31359941,31420181,31573949,31671140,32727690,33159302,33192293,33230141,33358301,33650381,33754289,33949940,34163115,34451556,34648373,34738278,34740915,34899149,34902854,34909536,35048945,35142876,35601365,35949261,36078389,36238430,36440656,36558869,36578451,36820433,37056976,37165956,37337102,37417841,37706612,37787189,38005368,38358065,38562701,38781041,39013828,39273228,39614621,39618712,39661118,40369073,40460036,40670375,40739928,40995738,41053155,41159534,41689098,41970869,42058734,42207172,42502781,42721638,42756039,43047761,43486116,43545775,43790032,43925061,44164133,44571051,44846054,45483365,45504021,45832419,46029678,46061534,46134093,47077581,47354078,47471630,47691569,48289493,48332541,48378053,48632199,48804450,49046933,49263786,49861220,49896381,50154269,50213333,51230078,51475142,51584995,51802118,51971621,52058080,52254930,52561709,53060775,53172614,53317821,53812718,54513869,54580038,55235621,55481493,55734040,55738592,56598160,56658740,56773661,56864945,56965956,57020493,57895475,58143652,58379921,58505621,58565340,58673438,58781333,58801478,59166021,59266961,59551445,59833464,60082293,60295960,60609941,60771773,60785141,60957715,61646104,61706189,61901994,62208250,62228945,62311502,62383973,62469696,62700795,62705916,63672930,63727941,64030341,64047134,64170494,64305749,64527173,65295182,65363981,65421134,65430065,65629454,65705381,66141093,66453254,66499108,66880848,67025765,67312647,67501502,67556945,67642293,67650101,67832955,67917792,67990488,68087765,68237934,68323793,68540421,68564549,68984990,69351867,69474570,69522653,69586118,69654596,69790982,70278408,70736465,71284493,71461734,72211447,72321365,72355152,72431476,72527141,72705981,73149258,73538174,73692850,74106208,74117678,74316221,74649900,74674734,74739302,74827838,74854181,75072893,75240954,75867341,75889912,76407516,76489299,76536093,77083061,77117318,77195549,77400638,77486561,78104945,78516078,78526142,78628565,78874941,78908030,79063209,79378301,79457493,79626560,80039181,80197265,80370052,80430918,81068334,81105230,81399546,81705318,81744878,81875309,82357293,82781988,82934661,83002502,83062360,83112701,83272718,83363021,83369484,83754413,83863493,84405496,84771761,84883758,85376151,85402865,85457093,85613381,85883933,86585630,86593469,86785638,86934734,87082450,87951974,87992165,88357661,88431420,88487332,88944861,89579880,89713733,89855438,90572465,91710389,91915082,92113412,92255822,93080621,93445155,93656945,93725934,93864830,94169765,94326848,94354278,94503878,94689636,94933220,94956183,95001758,95039896,95451518,95551872,95975661,96185572,96236718,96728465,96797141,97107998,97160452,97326276,97365621,97551134,97780241,97803915,98223221,98341262,98981678,99408740,99476102,99646373,99674832,99688433,...,8506607511622804409912782362602418883677770950900676527634478931930386224166808119187603665924630976657941227445481962115530660453742762221015113095062086785746410556449403803279626434139500004060539367469503077966822026720389452471591118322912165649616167464129573917969151684512849860672671679604400049016678975384910301519956465888823503538608234732905966511409797528011502597952414359839683502836056010827267662340368985326059375951931016897283889913484443245775915480662281335607315272999298487286709199680139819180015503233392270364002670562692749360406065210066194159207603597878932815170167861583844263273431652518966047706028944009547220422423746141683606367674438918079223823025107390619615640963837341198336401355374393741597871923920427060636363987768117974883584053731992771805234544539471413207392253174195316431083397614201861217692220916806254388820011973891659287118191167258477833438081107475193888824173634024041328066821513189665149565048360857740536417155319796277243947711799238694981873511113155495506238841398398664513250629800473959455402792888016012651045285207137593360041872522958370004797796284858801268185977055213152852411374878603101344034122150479216808032082928621987043895935503348645762051595438258073407942829015160041087657681355538800410542824464713344640033370926911597082572343465987315698545964907105934479443746638005929516302076145328823226853800521992543620191118352418628718934978722061680869930198730515123814328387113936092471977584590822576378388660577143912146402420366030129298514110509954638865020474218336085370576906487186579618048978973962025556337122807430123628194035386504410402991051116218767345871802967396469401022297562606679122324174730831693093478478115912083378700124589006616700220889725002974180930419558671302419148080243121154995277129772067238223440955082225020063703163544265098677611396392087876474109061260292969474090211904501041414087993981834649256377522989108028683399203491883735101908116406407640073924724388252186749491268920995658790452099870108625282326978891321846454342211523853083632055051868465941709720564190622567608830220047740090214557654385205318244322782198760518260035656251100485019440462237739931438274045680884459949977170484913323017354568147495435859931635001058072712139897003426096670870514793044451769262673466577285259534048904171132721296581099620057565227543265106432145274614598265926660570677549204011592552246576304313325919878813209412334622653215946084097974210186531435226659196416109388626260578801977265949901565178130529762522009518536684918928524041414042288172043370123065021949930689142793763304305063287443755240898600999214687739486414140597350682009429567583859836375401634606781477576693220922277200600366366073680009295547233674233294167300642633866319405670340781066095847627482088782898598562609474861471532313152742169466762011756148961005301875702552864945463350316309846275145068659851542457779683818694300899299782294808717102015629860773752043634649369683703856305500576581128906336033834796521527682043245074525718473932}
19172  11665603804333659401649227076956879298587877184237961916978036042006530: {268282,383260,459912,498082,517401,593371,842908,1110178,1186618,1964107,2011485,2145584,2220124,2394625,2413782,2873550,3065120,3098467,3168442,3396418,3448260,3594748,3662947,3678144,3700162,3775627,3851938,4137912,4655151,5290618,5902867,5970082,6603645,6792124,7043888,7122547,7249978,7475362,7924374,8000698,8450362,9244137,9497338,9721282,9975388,10243258,10428988,10738101,11004925,11484307,11699371,11730298,12000153,12062984,12333045,12471418,12689157,12692668,12728765,12770371,13155248,13205910,13515787,13570857,13621987,13801402,14022562,14086304,14390842,14797544,14799654,14905762,15274518,15730867,15786658,15847092,15944453,16149187,16174145,16445818,16463181,16647237,16774507,17103682,17818409,17894965,17905978,18017371,18183950,18342778,18633658,18840187,18992668,18996898,19045171,19160141,19408974,19440508,19599025,20269027,20335324,20370547,21456322,21473958,21583171,21784267,21816442,21820740,22385827,22641437,22777790,22894402,23084371,23275456,23346741,23396218,23518830,23581171,23755845,23875304,23968762,24183202,24569371,25039522,25086752,25256827,25339568,25454870,25474009,25843267,26177698,26184888,26329987,26532538,26816122,26859717,27298027,27333348,27371630,27382522,27877282,28222596,28300738,28441762,28450171,28507014,29117467,29294312,29457999,30064627,30230301,30347371,30409378,30535507,30545844,31004587,31098187,31388482,31423324,31458298,31597882,31607013,31751371,31885574,32225218,32291445,32294842,32344910,32401027,32424854,32493547,32539700,32845956,32956101,33254697,33322987,33545338,33619324,34168642,34306978,34444208,34514362,34666373,34721602,34933468,35342458,35647437,36265485,36314371,36364100,36493147,36760771,37027747,37060258,37676218,38017858,38086138,38089171,38316278,38352907,38683184,38703547,38749734,38813892,39047640,39401371,39516322,39588925,40059298,40533562,40736578,41296627,41650816,41977171,42231187,42437425,42490018,42893122,43064445,43518582,43563682,43636920,43928595,44165818,44720841,44735707,44766658,45099898,45550820,45719371,45765178,45882307,45935408,46097218,46288387,46317704,46321220,46457445,46546048,46693882,46857168,47090938,47133265,47506710,47932348,48767285,48771268,49091535,49133218,49315771,49523390,49554608,49738953,49939867,50050498,50507962,50575045,50673824,50834242,50867371,50924910,51677334,51784507,51860467,52012171,52107417,52354281,52364304,52540867,52589242,52654018,52714314,52758965,53365498,53940341,54031987,54319904,54357645,54396922,54660984,54737540,54985771,55204147,55296058,55585464,55711171,55748934,56005653,56078312,56128162,56214667,56255938,56429371,56559918,56830138,56962184,57008052,57633787,57981488,58520742,58566748,58679227,58909842,59024107,59177122,59366458,59428068,59491677,59912371,60059458,60672028,60690054,61064002,61109892,61255171,61372904,61493607,61512124,61739301,61784227,61814722,61915771,62002042,62126842,62326525,62439067,62533647,62770108,62874298,63088101,63310758,63343747,64082457,64443388,64732858,64842932,64917922,64979578,65072600,65229174,65420371,65685048,66025282,66216907,66403673,66528508,66577018,67095589,67240171,67269081,67418587,68041978,68242627,68285242,68771002,68822587,69013498,69044517,69092301,69281371,69667550,69673240,70282402,70408171,70583482,70747700,70823425,70850827,71031117,71070427,71090428,71207445,71776171,72560578,72679565,72733267,72773384,72799042,72918178,72977722,73206675,73854809,73895679,73975324,74477467,74726947,74776627,74791830,74874682,75023947,75220507,75369950,75817018,75851371,75934522,75954608,76027324,76470067,76638202,76696738,76845117,77047618,77057630,77212713,77222842,77489371,77703177,78087120,78164371,78382395,78473827,78692707,78735418,78793378,78888028,78967162,79550227,79592347,79758921,79777952,80006842,80109724,80174467,80419627,80719077,80811898,81155962,81374347,81568027,81670978,81870057,82063171,82175707,82239421,82412602,82535992,82692307,82697122,82801171,83088307,83123885,83159909,83292928,83335771,83601060,83607888,83922067,83944258,84023371,84090547,84290347,84452218,84520171,84585187,84790138,84897240,84970588,84988110,85000771,85373788,85448934,85854547,86260267,86288707,86415298,86638402,86706667,86815387,86896171,87068245,87082147,87215478,87848010,88010157,88030171,88188124,88202217,88216507,88262371,88303522,88469242,88634818,88662187,88745122,88957027,89158987,89174464,89410771,89460538,89541307,89559667,89650387,89686171,89734853,89750196,89911747,90060787,90141067,90156907,90189724,90265771,90282658,90392002,90443940,90529507,90539345,90557056,90584947,90625771,90653984,90757171,90983912,90998371,91129267,91139707,91278307,91283654,91333387,91373218,91387228,91459747,91563067,91658107,91686187,91699138,91741627,91772371,91832347,91853371,91857907,91867987,91869787,91885771,92469156,92632760,92673442,92852991,93050938,93312375,93467253,93704544,93941473,94058874,94285762,94446202,94820002,94862390,95282312,95405818,95509395,95777602,96070701,96255741,96473536,96941308,97532344,97942773,98131701,98444181,98469833,98775802,99088378,99192442,99533200,99566312,99679881,99748662,99867298,99884393,...,12759911267434206614869173543903628325516656426351014791451718397895579336250212178781405498886946464986911841168222943173295990680614143331522669642593130178619615834674105704919439651209250006090809051204254616950233040080584178707386677484368248474424251196194360876953727526769274791009007519406600073525018463077365452279934698833235255307912352099358949767114696292017253896928621539759525254254084016240901493510553477989089063927896525345925834870226664868663873220993422003410972909498947730930063799520209728770023254850088405546004005844039124040609097815099291238811405396818399222755251792375766394910147478778449071559043416014320830633635619212525409551511658377118835734537661085929423461445756011797504602033061590612396807885880640590954545981652176962325376080597989157707851816809207119811088379761292974646625096421302791826538331375209381583230017960837488930677286750887716750157121661212790833236260451036061992100232269784497724347572541286610804625732979694415865921567698858042472810266669733243259358262097597996769875944700710939183104189332024018976567927810706390040062808784437555007196694427288201902278965582819729278617062317904652016051183225718825212048124392932980565843903255022968643077393157387110111914243522740061631486522033308200615814236697070016960050056390367395623858515198980973547818947360658901719165619957008894274453114217993234840280700782988815430286677528627943078402468083092521304895298095772685721492580670904138707966376886233864567582990865715868219603630549045193947771165764931958297530711327504128055865359730779869427073468460943038334505684211145185442291053079756615604486576674328151018807704451094704101533446343910018683486262096247539640217717173868125068050186883509925050331334587504461271395629338006953628722120364681732492915694658100857335161432623337530095554745316397648016417094588131814711163591890439454211135317856751562121131990972751973884566284483662043025098805237825602652862174609611460110887086582378280124236903381493488185678149805162937923490468336982769681513317285779625448082577802698912564580846285933851413245330071610135321836481577807977366484173298140777390053484376650727529160693356609897157411068521326689924965755727369984526031852221243153789897452501587109068209845505139145006305772189566677653894010199865927889301073356256699081944871649430086347841314897659648217911921897398889990856016323806017388828369864456469988879818219814118501933979823919126146961315279797152839988794624164082939390868202965898924852347767195794643783014277805027378392786062121063432258065055184597532924896033714190644956457594931165632861347901498822031609229621210896026023014144351375789754563102451910172216365039831383415800900549549110520013943320850511349941250950963950799479108505511171599143771441223133174347897843914212292207298469729113254200143017634223441507952813553829297418195025474464769412717602989777313686669525728041451348949673442213075653023444791160628065451974054525555784458250864871693359504050752194782291523064867611788577710898}
19173  11711854082905246246517784763512997367497711437589603136766134267917493: {402423,479075,574890,613216,689868,747123,1053635,1264362,1665267,1779927,1877386,2681980,2775155,3218376,3330186,3620673,3831400,4310325,4493435,4597680,4727827,4752663,4842167,4904192,5094627,5172390,5392122,5517216,5531171,5550243,5777907,6163402,6206868,7935927,8000938,8460322,8490155,8623571,8804860,8955123,9454666,10188186,10555111,10565832,10874967,11213043,11510842,11886561,12001047,12325516,12469235,12675543,12753707,12947851,13036235,14246007,14317468,14581923,14963082,15078730,15364887,15643482,15865835,16000204,16444060,16918876,17419127,17595447,17607880,18094476,18113563,18394402,18496930,18672467,18707127,19039002,19596187,19732872,19808865,20366024,20702103,20890891,21033843,21129456,21586263,21950908,22172122,22196316,22199481,22358643,22524538,22911777,23679987,23740835,23770638,24297751,24300635,24668727,25419155,25632523,25655523,25878632,26465347,26858967,26912003,26995267,27275925,27423671,27514167,27950487,28489002,28495347,28631944,29094320,29113461,29160762,29844130,30138682,30502986,30653722,31128988,31156007,31162307,31358440,31674460,32184483,32210937,32724663,32731110,33162778,33847786,34166685,34341603,34913184,35094327,35234602,35278245,35291863,35812956,35953143,36082171,36274803,36444464,36617890,37282807,37314667,37559283,37630128,38009352,38182305,39188266,39266547,39271307,39277332,39279155,39798807,40193482,40224183,40307068,40527991,40674625,40727792,41000022,41057445,41073783,41458667,41815923,42024155,42142684,42145511,42333894,42451107,42662643,42760521,43055260,43153147,43360282,43480186,43666835,43794608,43941468,44125666,44339596,44657587,45455125,45614067,45684298,45818766,46137587,47082723,47134986,47187447,47272051,47359042,47396823,47510843,47529916,47828361,48337827,48353980,48442263,48517365,48637281,48809550,49068523,49268934,49477163,49841911,50017987,50318007,50428986,50733802,51252963,51460467,51480538,51666312,51751856,51771543,52063520,52082403,52213271,52400202,52925146,52999882,53013687,53558122,53701291,54546150,54674807,55590387,56514327,56938525,57026787,57129207,57257146,57419260,57474417,57897130,57901525,58024776,58124601,58182560,58220838,58571460,58807642,59071811,59273227,59274483,59627788,59909963,59915435,60088947,60143626,60800343,60814787,60964085,61104867,61943260,62364587,62476224,62719882,62840362,63147898,63342280,63493691,63676711,63735027,64339683,64716247,65116427,65248147,65277873,65345523,65455380,66248727,66318604,66384586,66460282,66716602,67149987,67300762,67508578,67649847,67899880,68326230,68421925,68647767,68903112,69145827,69296746,69476556,69481830,69798298,69805708,69819072,70040823,70097890,70285752,70636407,70888771,71202730,71260065,71898522,72156778,72218993,72230387,72476860,72881312,73117738,73156902,73208435,73640866,73699827,74113952,74253047,74285085,74331912,74674204,74835682,75075747,75413224,75574378,75761943,75840035,76010736,76251363,76387365,76716130,76859771,76890155,77125402,77516001,77562082,78027656,78462635,78546456,78807371,78883863,78981027,79071471,79229242,79237424,79322236,79610923,79631771,80048247,80329667,80554235,80738146,80920072,81053665,81340750,81479856,81595383,81991476,82106310,82319068,82569731,82944087,83160635,83286887,83372023,83378196,83623401,83743763,83941738,84117468,84192243,84383907,84414344,84839877,85005562,85245207,85340801,85443276,85512078,86095522,86386487,86602627,86972232,87091550,87120523,87580064,87781113,87850122,88328266,88364763,88434625,88765683,88803671,88863035,89049687,89142102,89323291,89661403,89692108,89769227,90089187,90966730,91008042,91035081,91098163,91217687,91596003,91602091,91664838,92059356,92123068,92268186,92423507,92469155,92722083,93003063,93190263,93194807,93836071,94155162,94311447,94579723,94708156,94832771,94943260,94966137,95034155,95322871,95383138,95900887,95935271,96578986,96665082,96756106,97099287,97264398,97376883,97469367,97608900,97843761,98093866,98527572,98610035,99031051,99037923,99722440,99792762,99865527,...,19139866901151309922303760315855442488274984639526522187177577596843369004375318268172108248330419697480367761752334414759943986020921214997284004463889695267929423752011158557379159476813875009136213576806381925425349560120876268061080016226552372711636376794291541315430591290153912186513511279109900110287527694616048178419902048249852882961868528149038424650672044438025880845392932309639287881381126024361352240265830216983633595891844788018888752305339997302995809831490133005116459364248421596395095699280314593155034882275132608319006008766058686060913646722648936858217108095227598834132877688563649592365221218167673607338565124021481245950453428818788114327267487565678253601806491628894135192168634017696256903049592385918595211828820960886431818972478265443488064120896983736561777725213810679716632569641939461969937644631954187739807497062814072374845026941256233396015930126331575125235682491819186249854390676554092988150348404676746586521358811929916206938599469541623798882351548287063709215400004599864889037393146396995154813917051066408774656283998036028464851891716059585060094213176656332510795041640932302853418448374229593917925593476856978024076774838578237818072186589399470848765854882534452964616089736080665167871365284110092447229783049962300923721355045605025440075084585551093435787772798471460321728421040988352578748429935513341411679671326989852260421051174483223145430016292941914617603702124638781957342947143659028582238871006356208061949565329350796851374486298573802329405445823567790921656748647397937446296066991256192083798039596169804140610202691414557501758526316717778163436579619634923406729865011492226528211556676642056152300169515865028025229393144371309460326575760802187602075280325264887575497001881256691907093444007010430443083180547022598739373541987151286002742148935006295143332117974596472024625641882197722066745387835659181316702976785127343181697986459127960826849426725493064537648207856738403979293261914417190166330629873567420186355355072240232278517224707744406885235702505474154522269975928669438172123866704048368846871269428900777119867995107415202982754722366711966049726259947211166085080226564976091293741040034914845736116602781990034887448633591054976789047778331864730684846178752380663602314768257708717509458658284350016480841015299798891833951610034385048622917307474145129521761972346489472326867882846098334986284024485709026083242554796684704983319727329721177752900969735878689220441972919695729259983191936246124409086302304448848387278521650793691965674521416707541067589179093181595148387097582776896299387344050571285967434686392396748449292021852248233047413844431816344039034521216527063684631844653677865258324547559747075123701350824323665780020914981275767024911876426445926199218662758266757398715657161834699761521846765871318438310947704593669881300214526451335162261929220330743946127292538211697154119076404484665970530004288592062177023424510163319613479535167186740942098177961081788333676687376297307540039256076128292173437284597301417682866566347}
19174  11758286413744098304660352915298830745870801102821914248873373665094414: {210793,325669,536564,766520,862335,919824,996164,1013413,1034802,1186742,1685816,1896543,1926373,2220356,2373236,2608069,2816079,3287173,3352475,3928214,4022970,4291168,4300969,4440248,4789250,4827564,4861669,4973593,4995279,5747100,6130240,6196934,6336884,6792836,6896520,7189496,7325894,7356288,7400324,7527973,7551254,7703876,7758585,8078233,8088183,8275824,8297833,8626693,9245103,9310302,9391513,10369669,10581236,10910569,11006075,11805734,11940164,12001407,12094213,12690483,13207290,13584248,14012293,14087776,14181999,14223973,14245094,14499956,14950724,15067813,15282279,15406895,15802393,15848748,16001396,16220569,16900724,17157253,17266263,17820271,17881753,17896835,18488274,18705433,18994676,19442564,19830469,19950776,20000255,20486516,20555075,20857976,21148595,21350569,21451333,21476202,21853669,22009850,22444623,22618095,22643803,22954153,22968614,23398742,23460596,23465223,24000306,24125968,24342169,24666090,24942836,25052951,25324969,25378314,25385336,25457530,25476671,25540742,26310496,26397733,26411820,27031574,27141714,27243974,27438635,27591603,27602804,27745395,28045124,28134373,28172608,28558503,28781684,29595088,29599308,29658469,29811524,30105647,30549036,31070569,31461734,31573316,31630873,31694184,31888906,32002969,32298374,32348290,32891636,32926362,33258183,33294474,33549014,33786807,34207364,35570533,35636818,35655957,35789930,35811956,36034742,36367900,36467653,36646213,36685556,37267316,37680374,37888069,37976233,37985336,37993796,38090342,38320282,38415973,38817948,38881016,38911235,39198050,39550873,39593075,40415593,40538054,40670648,40741094,42292633,42733503,42912644,42947916,43166342,43385413,43568534,43632884,43641480,43741143,44300569,44383333,44766195,44771654,45042853,45207013,45208023,45282874,45555580,45754479,45788804,45980583,46168742,46550912,46693482,46792436,47037660,47162342,47511690,47750608,47937524,47953669,48366404,49096665,49138742,49608553,49744167,50079044,50173504,50383835,50513654,50679136,50694169,50771679,50909740,50948018,51155113,51686534,51765673,52355396,52369776,52659974,52678355,52851903,53065076,53271913,53632244,53718169,53719434,53792293,53819075,54596054,54666696,54743260,54749353,54765044,54926835,55186969,55259653,55424495,55754564,55982533,56341273,56445192,56601476,56883524,56900342,56982469,57014028,57265573,57968293,58234934,58386469,58588624,58782399,58915998,59412395,59693593,60100969,60129254,60290223,60442475,60460602,60694742,60707173,60818756,60841093,61071014,61091688,61500033,61506373,61704553,62009174,62196374,62425669,62776964,62846648,62916596,63073669,63195764,63214026,63500841,63502742,63771148,63778153,64450436,64582890,64589684,64689820,64802054,64849708,64912153,64987094,65040423,65079400,65220279,65223013,65532073,65593669,65691912,65912202,65986571,66188499,66205669,66508969,66509394,66645974,66870553,67090676,67238648,67408069,68274199,68337284,68523673,68526447,68613956,68728149,68870569,68888416,69028724,69332746,69443204,69669913,69866936,70232233,70566169,70684916,70702479,70805063,71038563,71062213,71294874,71660569,71722871,71774075,72530970,72628742,72728200,72986294,73196293,73214325,73299973,73506469,73521542,73814053,73862551,73903401,74055494,74120516,74320933,74521669,74534735,75018469,75067753,75352436,75643479,76035716,76100703,76172276,76178342,76418473,76632556,76705814,76887193,76933669,77220807,77366368,77407094,77429075,77499468,77622169,77627784,77893033,78027493,78095280,78600303,78802742,78950569,79032644,79122793,79177850,79294787,79378969,79387719,79421413,79499823,79966633,80118596,80255173,80337183,80580613,80821669,80861593,81067124,81451813,81473156,81819225,82510213,82593254,82765993,82898255,83301632,83581573,83788069,83924293,83954342,84292969,84462374,84749593,84874850,84940969,84980036,85067113,85098469,85285093,85740313,85786244,85885719,86128890,86150569,86179333,86434969,86712169,86845695,87037164,87127364,87257135,87273840,87331257,87373669,87625669,87724453,87857190,87870469,88211463,88315753,88331636,88361113,88450969,88798873,88903813,89067973,89441682,89471414,89533316,89642533,89660569,89749669,89836969,89905513,90088069,90199796,90215439,90230953,90596075,90820633,90882373,91101640,91194853,91204969,91264153,91339033,91348069,91383493,91438742,91506073,91521193,91530356,91578793,91612453,91708069,91764614,91840873,91850053,91863913,91870816,91886233,91902469,91909273,91910569,91914647,92194436,92576774,92635408,92642440,92914890,93092096,93342755,93387764,93714336,94079823,94181876,94260543,94266530,94721847,95013420,95864696,97192043,97534570,97542536,98183070,98266436,98631542,99046780,99109216,99152795,99477906,99576879,99690423,99879734,...,25519822534868413229738347087807256651033312852702029582903436795791158672500424357562810997773892929973823682336445886346591981361228286663045339285186260357239231669348211409838879302418500012181618102408509233900466080161168357414773354968736496948848502392388721753907455053538549582018015038813200147050036926154730904559869397666470510615824704198717899534229392584034507793857243079519050508508168032481802987021106955978178127855793050691851669740453329737327746441986844006821945818997895461860127599040419457540046509700176811092008011688078248081218195630198582477622810793636798445510503584751532789820294957556898143118086832028641661267271238425050819103023316754237671469075322171858846922891512023595009204066123181224793615771761281181909091963304353924650752161195978315415703633618414239622176759522585949293250192842605583653076662750418763166460035921674977861354573501775433500314243322425581666472520902072123984200464539568995448695145082573221609251465959388831731843135397716084945620533339466486518716524195195993539751889401421878366208378664048037953135855621412780080125617568875110014393388854576403804557931165639458557234124635809304032102366451437650424096248785865961131687806510045937286154786314774220223828487045480123262973044066616401231628473394140033920100112780734791247717030397961947095637894721317803438331239914017788548906228435986469680561401565977630860573355057255886156804936166185042609790596191545371442985161341808277415932753772467729135165981731431736439207261098090387895542331529863916595061422655008256111730719461559738854146936921886076669011368422290370884582106159513231208973153348656302037615408902189408203066892687820037366972524192495079280435434347736250136100373767019850100662669175008922542791258676013907257444240729363464985831389316201714670322865246675060191109490632795296032834189176263629422327183780878908422270635713503124242263981945503947769132568967324086050197610475651205305724349219222920221774173164756560248473806762986976371356299610325875846980936673965539363026634571559250896165155605397825129161692571867702826490660143220270643672963155615954732968346596281554780106968753301455058321386713219794314822137042653379849931511454739969052063704442486307579794905003174218136419691010278290012611544379133355307788020399731855778602146712513398163889743298860172695682629795319296435823843794797779981712032647612034777656739728912939977759636439628237003867959647838252293922630559594305679977589248328165878781736405931797849704695534391589287566028555610054756785572124242126864516130110369195065849792067428381289912915189862331265722695802997644063218459242421792052046028288702751579509126204903820344432730079662766831601801099098221040027886641701022699882501901927901598958217011022343198287542882446266348695795687828424584414596939458226508400286035268446883015905627107658594836390050948929538825435205979554627373339051456082902697899346884426151306046889582321256130903948109051111568916501729743386719008101504389564583046129735223577155421796}
19175  11804901508308317000170539162028344141921435562345737952766187402172193: {670705,804846,958150,1149780,1226432,1245205,1379736,1475089,1494246,1552203,1780113,2107270,2528724,2775445,2966545,3330534,3559854,3754772,3885217,4842673,5363960,5531749,5550310,5722561,5892321,6034455,6181897,6290809,6436752,6660372,7183875,7241346,7662800,7921105,8491045,8620650,8986870,9044233,9195360,9250405,9295401,9455654,9505326,9629845,9684334,9808384,10189254,10191493,10344780,10784244,10988841,11034432,11062342,11100486,11326881,11555814,11886217,12027109,12326804,12413736,13226545,13633273,13965453,14925205,15871854,16001876,16920644,16980310,17247142,17420953,17456929,17609720,17708601,17910246,18124945,18250729,18688405,18909332,19810935,20001745,20376372,20586241,21110222,21125905,21131664,21367641,21749934,22067461,22212169,22426086,23021684,23038009,23680393,23743345,23773122,24002094,24303205,24651032,24938470,25351086,25507414,25608145,25623097,25895702,26072470,26594689,27732411,28492014,28634936,28851397,29163846,29325745,29926164,30078121,30157460,30729774,31159273,31178545,31286964,31580593,31731670,32000408,32033641,32214303,32409793,32657857,32888120,33014775,33237169,33837752,34020889,34068793,34452921,34503505,34653769,34655641,34838254,35056405,35098113,35190894,35215760,35586817,35977105,36000459,36188952,36227126,36402721,36780649,36788804,36828181,36993860,36999135,37070497,37264405,37344934,37414254,38067471,38078004,38186295,38311113,39192374,39465744,39466645,39617730,39862273,40377541,40547361,40712571,40732048,40865961,41087929,41114545,41404206,41463013,41649457,41781782,41979673,42067686,42149929,42258912,42759205,43172526,43481041,43901816,44255473,44344244,44392632,44398962,44717286,44764945,45049076,45459875,45823554,45856945,46584145,47192601,47359974,47481670,47492245,47541276,47701573,47833359,48149797,48388201,48447561,48522435,48595502,48601270,49337454,49389543,49941711,50323521,50713669,50838310,51265046,51311046,51757264,52218793,52878337,52930694,53455227,53564821,53640805,53684895,53717934,53824006,53990534,54052113,54541105,54551850,54847342,54990817,55028334,55900974,56520561,56944475,56978004,56990694,57135513,57236005,57263888,57480423,57753097,58188640,58226922,58321524,58490545,58797075,58833817,59688260,59921905,60175957,60277364,60458005,60784561,60807081,61005972,61111641,61133569,61307444,61706593,62257976,62312014,62324614,62598805,62716880,63145729,63348920,63637175,64138297,64368966,64421874,64615681,64749513,64830553,65352801,65444245,65449326,65462220,65990473,66325556,66331345,66665593,67040305,67157481,67695572,67924311,67962889,68333370,68429075,68456305,68683206,69253113,69693205,69826368,70040223,70188654,70469204,70556490,70583726,70743513,70751845,70963537,71104405,71141269,71267535,71625912,71688913,71872021,71906286,72164342,72549606,72888928,73235780,73708113,74565614,74629334,75118566,75260256,75343729,75517441,75522757,75710149,75770481,75883489,76018704,76023445,76364610,76422027,76867897,77211793,77502949,77529801,78111841,78376532,78471205,78533094,78542614,78554664,78558310,78645745,78989961,78994705,79597614,79713935,80367913,80386964,80448366,80563045,80579151,80614136,80737105,80862275,81055982,81062135,81349250,81455584,81894081,82000044,82114890,82147566,82651633,82917334,83631846,83863345,83881609,84048310,84159001,84285368,84291022,84667788,84902214,85325286,85349719,85350513,85421605,85521042,85767445,85902097,86110520,86285905,86306294,86720564,86762329,86798833,86804005,86960372,87333670,87352401,87589216,87753601,87882936,88251332,88356145,88373997,88679192,88731457,89215753,89315174,90193881,90559009,90690903,90910250,91042113,91228134,91368596,91606521,91637532,91915297,92275174,92283817,92650645,93013761,93294561,94165446,94190545,94269972,94374894,94544102,94718084,94793646,94821039,94935061,95021686,95044645,95059832,95187541,95215345,95244193,95254113,95656722,95790695,96316069,96353953,96675654,96707960,96874335,96884526,97034730,97203081,97274562,97480641,97619100,98137046,98537868,98637673,98790805,98868303,98954326,99683822,99764091,99968961,...,38279733802302619844607520631710884976549969279053044374355155193686738008750636536344216496660839394960735523504668829519887972041842429994568008927779390535858847504022317114758318953627750018272427153612763850850699120241752536122160032453104745423272753588583082630861182580307824373027022558219800220575055389232096356839804096499705765923737056298076849301344088876051761690785864619278575762762252048722704480531660433967267191783689576037777504610679994605991619662980266010232918728496843192790191398560629186310069764550265216638012017532117372121827293445297873716434216190455197668265755377127299184730442436335347214677130248042962491900906857637576228654534975131356507203612983257788270384337268035392513806099184771837190423657641921772863637944956530886976128241793967473123555450427621359433265139283878923939875289263908375479614994125628144749690053882512466792031860252663150250471364983638372499708781353108185976300696809353493173042717623859832413877198939083247597764703096574127418430800009199729778074786292793990309627834102132817549312567996072056929703783432119170120188426353312665021590083281864605706836896748459187835851186953713956048153549677156475636144373178798941697531709765068905929232179472161330335742730568220184894459566099924601847442710091210050880150169171102186871575545596942920643456842081976705157496859871026682823359342653979704520842102348966446290860032585883829235207404249277563914685894287318057164477742012712416123899130658701593702748972597147604658810891647135581843313497294795874892592133982512384167596079192339608281220405382829115003517052633435556326873159239269846813459730022984453056423113353284112304600339031730056050458786288742618920653151521604375204150560650529775150994003762513383814186888014020860886166361094045197478747083974302572005484297870012590286664235949192944049251283764395444133490775671318362633405953570254686363395972918255921653698853450986129075296415713476807958586523828834380332661259747134840372710710144480464557034449415488813770471405010948309044539951857338876344247733408096737693742538857801554239735990214830405965509444733423932099452519894422332170160453129952182587482080069829691472233205563980069774897267182109953578095556663729461369692357504761327204629536515417435018917316568700032961682030599597783667903220068770097245834614948290259043523944692978944653735765692196669972568048971418052166485109593369409966639454659442355505801939471757378440883945839391458519966383872492248818172604608897696774557043301587383931349042833415082135178358186363190296774195165553792598774688101142571934869372784793496898584043704496466094827688863632688078069042433054127369263689307355730516649095119494150247402701648647331560041829962551534049823752852891852398437325516533514797431314323669399523043693531742636876621895409187339762600429052902670324523858440661487892254585076423394308238152808969331941060008577184124354046849020326639226959070334373481884196355922163576667353374752594615080078512152256584346874569194602835365733132694}
19176  11851700080816397834629891177925866132090656861031760130649939233044415: {249119,363983,421586,651338,708143,1073128,1207269,1437225,1533040,1698743,1724670,1839648,1850663,1964519,1992328,2026826,2040383,2069604,2241369,2373484,2646143,3099119,3160905,3174503,3371632,3738863,3793086,3852746,4338863,4440712,4693465,4746472,4862183,4974119,4995801,5216138,5235023,5339781,5632158,5792783,5978303,6348743,6574346,6704950,7013519,7124063,7197719,7308143,7856428,7859183,8045940,8115719,8325465,8554583,8582336,8601938,8664119,8880496,9578500,9655128,9723338,9947186,9990558,10862019,11019719,11494200,12095519,12202703,12260480,12393868,12452519,12630719,12673768,12930975,13270583,13480305,13518719,13585672,13695719,13793040,14183481,14257989,14378992,14526501,14648063,14651788,14712576,14800648,14858903,15055946,15102508,15104519,15283881,15407752,15408505,15517170,15804119,16156466,16176366,16222343,16551648,16569983,16593513,16595666,16650729,16778183,17253386,17262863,17333721,17366519,17780423,18490206,18620604,18741719,18783026,19015223,19662743,20002345,20171903,20375063,20739338,20949119,21150805,21162472,21352943,21569653,21821138,21856103,22012150,22190543,23611468,23636665,23807781,23880328,24002814,24188426,25055569,25327823,25360463,25380966,25470465,25523543,25653863,25870713,26400719,26414580,26865369,27168496,27304223,27368519,27593303,27785663,28000357,28024586,28073663,28175552,28233383,28363998,28447946,28490188,28711343,28777105,28999912,29028983,29187503,29598719,29608033,29693423,29851103,29901448,30108793,30135626,30228719,30564558,30636503,30813790,31011719,31074143,31105343,31604786,31665333,31697496,32002792,32441138,32470223,32624901,33639129,33801448,33941519,34154543,34245719,34314506,34532526,34609703,34942343,35153519,35394383,35579401,35604719,35640542,35659683,35763506,35793670,35844623,36003141,36293063,36501719,36976548,37407705,37410866,37539119,37696825,37921943,37989352,38026629,38261121,38414089,38420519,38625143,38712719,38771063,38843553,38885128,39108705,39294719,39497663,39660938,39901552,40000510,40104143,40506503,40935863,40973032,41110150,41306519,41363423,41715952,41732519,42297190,42297719,42494783,42701138,42738021,42902666,42952404,43223303,43707338,43745769,43752263,43890983,44019700,44250719,44333543,44471423,44883863,44889246,45157823,45236190,45287606,45908306,45937228,45986005,46094661,46242325,46353743,46434719,46623383,46797484,46921192,46930446,47240519,47320703,47560823,47597505,47906519,48000612,48251936,48684338,49014143,49171223,49332180,49562663,49692743,49885672,49952303,50081783,50105902,50649938,50726183,50756628,50770672,50915060,50953342,51081484,51161519,51340103,51797519,51848183,52257381,52378223,52620992,52786341,52795466,52823640,53129303,53303519,53502143,54063148,54242423,54283428,54340689,54475729,54487948,54877270,55183206,55194023,55205608,55218263,55266719,55430305,55436063,55490790,55556783,55989719,56017401,56090248,56121381,56157383,56268746,56276903,56311345,56345216,57117006,57367103,57563368,57648719,58347719,58463519,58788561,58970663,59154119,59190176,59198616,59314223,59316938,59426595,59451143,59623048,59655983,59769503,60063719,60211294,60580943,60737519,61005023,61098072,61734719,61800623,62106309,62141138,62455703,62672673,62923468,63101529,63103583,63146632,63210863,63261746,63388368,63467519,63777812,63850343,63935063,64005938,64482623,64596748,64629119,64696580,64758789,64983263,65107703,65252519,65664119,65783272,65852724,65970719,66113183,66234983,66275519,66516366,66518063,66538223,66588948,66598443,66879719,67075929,67098028,67437143,67476719,67573614,67614983,67772519,68319863,68414728,68735331,68880143,68899343,70260719,70537369,70594583,70870823,70907519,71039961,71090519,71141066,71222505,71273636,71311914,71579860,71623912,71957783,72069484,72207263,72384503,72490463,72735800,72754103,72893253,72901905,72935306,73292426,73310519,73371112,73517063,73568519,73749697,73943663,74006181,74281343,74499119,74532503,74534632,74549183,74610325,75045863,75078719,75275183,75346705,75360748,75438023,75680783,75729119,75776138,75952466,75970672,75987592,76180684,76208519,76257465,76335143,76445519,76634305,76640564,76727543,76831946,76897569,76966569,77421263,77594293,77635896,77762032,77822470,77874743,77949623,78083903,78173063,78396100,78526823,79101746,79186150,79263263,79396041,79532303,79574519,79854119,79992719,80061719,80267519,80430863,80471519,80566103,80576901,80736009,80831186,80834183,80913983,80967023,80985801,81033143,81076108,81269519,81341296,81464519,81482188,81554903,81827775,82226519,82271013,82542501,82572263,82779119,82906945,82995623,83043383,83177353,83221343,83350703,83432519,83467463,83525543,83606519,83698583,83851461,83949119,84173519,84317663,84339719,84585266,84619465,84699023,84741983,84763393,84965423,85299119,85329983,85371023,85467006,85486041,85523783,85584383,85634663,85754519,85825288,85873223,85895832,86260583,86332684,86402543,86430719,86477519,86735903,86770826,86916623,87005783,87111719,87137068,87265768,87282960,87285719,87340383,87388583,87397103,87473423,87482286,87515543,87565823,87812903,87909719,87933743,88086505,88170023,88262519,88315943,88562519,88601138,88707719,88766666,88814519,89002223,89144183,89190719,89203943,89289119,89461703,89532390,89543308,89591903,89682743,89694719,89765903,90055583,90085706,90104543,90200519,90237143,90252719,90314303,90344663,90414026,90416046,90463223,90487343,90565748,90572519,90618719,90627863,90673103,90774119,90825143,90879119,90971303,91044263,91074119,91099823,91111160,91121543,91139423,91164119,91174583,91222463,91319783,91338383,91368743,91404119,91438343,91487519,91495463,91500719,91508958,91544725,91577608,91582823,91592183,91599119,91632719,91700303,91726343,91781519,91786103,91799423,91842719,91857383,91866743,91869719,91905719,91906943,91917863,91921463,91926719,91928063,91961166,92337484,93101824,93386964,93468021,93486921,93584872,93712021,94075320,94324684,95023380,95501216,95875048,95907338,96553449,96632811,96732808,97970665,98173989,98193330,98277484,99217106,99488334,...,57419600703453929766911280947566327464824953918579566561532732790530107013125954804516324744991259092441103285257003244279831958062763644991852013391669085803788271256033475672137478430441625027408640730419145776276048680362628804183240048679657118134909130382874623946291773870461736559540533837329700330862583083848144535259706144749558648885605584447115273952016133314077642536178796928917863644143378073084056720797490650950900787675534364056666256916019991908987429494470399015349378092745264789185287097840943779465104646825397824957018026298176058182740940167946810574651324285682796502398633065690948777095663654503020822015695372064443737851360286456364342981802462697034760805419474886682405576505902053088770709148777157755785635486462882659295456917434796330464192362690951209685333175641432039149897708925818385909812933895862563219422491188442217124535080823768700188047790378994725375707047475457558749563172029662278964451045214030239759564076435789748620815798408624871396647054644861191127646200013799594667112179439190985464441751153199226323968851994108085394555675148178755180282639529968997532385124922796908560255345122688781753776780430570934072230324515734713454216559768198412546297564647603358893848269208241995503614095852330277341689349149886902771164065136815076320225253756653280307363318395414380965185263122965057736245289806540024235039013980969556781263153523449669436290048878825743852811106373916345872028841430977085746716613019068624185848695988052390554123458895721406988216337470703372764970245942193812338888200973768576251394118788509412421830608074243672505275578950153334490309738858904770220189595034476679584634670029926168456900508547595084075688179433113928380979727282406562806225840975794662726491005643770075721280332021031291329249541641067796218120625961453858008226446805018885429996353923789416073876925646593166200236163506977543950108930355382029545093959377383882480548280176479193612944623570215211937879785743251570498991889620702260559066065216720696835551674123233220655707107516422463566809927786008314516371600112145106540613808286702331359603985322245608948264167100135898149178779841633498255240679694928273881223120104744537208349808345970104662345900773164930367143334995594192054538536257141990806944304773126152528375974853050049442523045899396675501854830103155145868751922422435388565285917039468416980603648538295004958852073457127078249727664390054114949959181989163533258702909207636067661325918759087187779949575808738373227258906913346545161835564952381075897023564250122623202767537279544785445161292748330688898162032151713857902304059177190245347876065556744699142241533295449032117103563649581191053895533961033595774973642679241225371104052472970997340062744943827301074735629279337778597655988274800272196146971485504099284565540297613955314932843113781009643900643579354005486785787660992231838381877614635091462357229213453997911590012865776186531070273530489958840438605501560222826294533883245365001030062128891922620117768228384876520311853791904253048599699041}
19177  11898682848257863453431643424540268198890051592076951039875185794492410: {632379,938987,977007,1341410,1609692,1743287,1916300,2299560,2452864,2490410,2587005,2759472,2950178,2966855,2988492,3040239,3104406,3560226,3885623,4153163,4214540,5057448,5550890,5689629,5723159,5779119,5933090,6182543,6661068,6909179,7119708,7509544,7770434,7824207,8448237,9685346,9820535,9861519,10057425,10688639,10727920,11063498,11089547,11100620,11445122,11784642,11887463,11973125,12068910,12363794,12581618,12873504,12902907,12950567,13320744,13442063,13481783,14367750,14482692,14585007,14920779,14985837,15325600,15492335,15842210,16586603,16982090,17241300,17973740,18088466,18314735,18390720,18500810,18517163,18590802,18878135,18911308,19010652,19259690,19368668,19616768,20346623,20378508,20382986,20588399,20689560,20895287,21568488,21977682,22068864,22124684,22200972,22583919,22653762,23111628,23275755,23686967,23772434,24054218,24234699,24264549,24653608,24827472,24893499,25374923,25625783,25748363,25880079,26163767,26453090,27266546,27735309,27930906,27985919,28002443,28174539,28637579,29413067,29514335,29576267,29850410,31109007,31430087,31743708,32003752,32036999,32245679,32731707,32828543,33018225,33240683,33764903,33841288,33960620,34024487,34494284,34841906,34910123,34913858,35219440,35301503,35417202,35612735,35820492,35851403,36004221,36249890,36282639,36501458,37074383,37322519,37376810,37429607,37818664,38071449,38574827,38730683,39621870,39627083,40003490,40263119,40279679,40752744,41056043,41172482,41653823,42036879,42220444,42251810,42263328,42545997,42671919,42735282,43061303,43162199,43485599,43499868,43649963,43687079,44134922,44424338,44852172,45131819,45203439,45846837,45921803,46043368,46076018,46220685,47109959,47281967,47360786,47407179,47486690,47546244,48004188,48304907,48606410,48661707,48796103,49078967,49302064,49876940,50028479,50094263,50367947,50702172,51014828,51216290,51246194,51471759,51791404,51798789,52144940,52170167,52382543,53189378,53460813,53590463,53645259,53690505,53814479,54670823,55024625,55253303,55464822,56116299,56679983,56984028,57269872,57421535,57560363,57702794,58327692,58398383,58496855,58651490,59491407,59852328,59862887,60000765,60156242,60314920,61459548,61665225,61713119,62318546,62357090,62573928,62670923,62734943,63161186,63445785,63463340,63643825,63686843,63851855,64000816,64051707,64067282,64199723,64326023,64353999,64428606,64547579,64819586,65217803,65315714,65561007,65776240,66029550,66474338,66489143,67333869,67578935,67675504,67854285,67931409,67993019,68041778,68109935,68137586,68862459,68905842,69007010,69307538,69311282,69676508,70112810,70196226,70381788,70395669,70431520,70736363,71173634,71683979,71954210,72000918,72377904,72454252,72550007,72805442,73026507,73561298,73577608,73656362,73708319,73987720,73998270,74140994,74528810,74689868,74828508,75097127,75158853,75308603,75958523,75974907,76134942,76156008,76357547,76372590,76430013,76622226,76625279,76752023,77107679,77511143,78323003,78384748,78654335,78931488,78933290,78984599,79193199,79235460,79403327,79722265,79724546,80130407,80731223,80745935,80755082,80870725,81094722,81425142,81464096,81731922,81886763,82175858,82229090,82315905,82774809,82808412,82926026,83236185,83298914,83563564,83872535,83890667,83959346,84135372,84288299,84299858,84387743,84403119,84517824,84641207,85518410,85675509,85911179,86345052,86620943,86962082,87638327,87803632,88510946,88688488,88785264,88797924,88975407,89092045,89342087,89434572,89474825,89529890,89680487,90086855,90098152,90316941,90919750,91621943,91647108,91713890,91739303,92136623,92863883,93109967,93168290,93211707,93856427,94200935,94385202,94719948,94892619,94963340,94984490,95082552,95225855,95403146,95666718,95800705,95838827,96008907,96299594,96776402,96895122,97044870,97191004,97202540,97570487,97722143,97995125,98254283,98674908,98779086,98979863,99052583,99546167,99774549,99883422,...,76559467604605239689215041263421769953099938558106088748710310387373476017501273072688432993321678789921471047009337659039775944083684859989136017855558781071717695008044634229516637907255500036544854307225527701701398240483505072244320064906209490846545507177166165261722365160615648746054045116439600441150110778464192713679608192999411531847474112596153698602688177752103523381571729238557151525524504097445408961063320867934534383567379152075555009221359989211983239325960532020465837456993686385580382797121258372620139529100530433276024035064234744243654586890595747432868432380910395336531510754254598369460884872670694429354260496085924983801813715275152457309069950262713014407225966515576540768674536070785027612198369543674380847315283843545727275889913061773952256483587934946247110900855242718866530278567757847879750578527816750959229988251256289499380107765024933584063720505326300500942729967276744999417562706216371952601393618706986346085435247719664827754397878166495195529406193148254836861600018399459556149572585587980619255668204265635098625135992144113859407566864238340240376852706625330043180166563729211413673793496918375671702373907427912096307099354312951272288746357597883395063419530137811858464358944322660671485461136440369788919132199849203694885420182420101760300338342204373743151091193885841286913684163953410314993719742053365646718685307959409041684204697932892581720065171767658470414808498555127829371788574636114328955484025424832247798261317403187405497945194295209317621783294271163686626994589591749785184267965024768335192158384679216562440810765658230007034105266871112653746318478539693626919460045968906112846226706568224609200678063460112100917572577485237841306303043208750408301121301059550301988007525026767628373776028041721772332722188090394957494167948605144010968595740025180573328471898385888098502567528790888266981551342636725266811907140509372726791945836511843307397706901972258150592831426953615917173047657668760665322519494269680745421420288960929114068898830977627540942810021896618089079903714677752688495466816193475387485077715603108479471980429660811931018889466847864198905039788844664340320906259904365174964160139659382944466411127960139549794534364219907156191113327458922739384715009522654409259073030834870037834633137400065923364061199195567335806440137540194491669229896580518087047889385957889307471531384393339945136097942836104332970219186738819933278909318884711011603878943514756881767891678782917039932767744984497636345209217795393549114086603174767862698085666830164270356716372726380593548390331107585197549376202285143869738745569586993797168087408992932189655377727265376156138084866108254738527378614711461033298190238988300494805403297294663120083659925103068099647505705783704796874651033067029594862628647338799046087387063485273753243790818374679525200858105805340649047716881322975784509170152846788616476305617938663882120017154368248708093698040653278453918140668746963768392711844327153334706749505189230160157024304513168693749138389205670731466265388}
19178  11945850530403937375995167105802288601622195910677197934748720117976726: {498238,708217,727966,843172,1302676,1416286,1850857,2012115,2078521,2146256,2395375,2414538,2419477,2874450,3066080,3397486,3449340,3679296,3701326,3735615,3776821,3929038,3984656,4053652,4080766,4139208,4425267,4482738,4656609,4746968,5268175,5292286,5340339,6198238,6321810,6349006,6570851,6743264,7477726,7586172,7705492,7896697,8326335,8677726,8881424,8899635,9102517,9320821,9386930,9492944,9724366,9948238,9991602,10082617,10432276,10470046,10679562,11264316,11585566,11655651,11956606,12239737,12697486,13148692,13409900,13413877,13626421,13838677,13875775,14027038,14248126,14395438,14528019,14616286,14895637,15712856,15718366,16049977,16091880,16231438,16595247,16650930,17109166,17164672,17167683,17203876,17328238,17610037,17676963,17760992,18103365,18126457,18332521,18545691,18872427,19051477,19157000,19310256,19446676,19894372,19981116,20174137,20377321,21551625,21571907,21590377,21724038,22039438,22393321,22467175,22988400,23191657,23639135,23688277,23763315,24191038,24210835,24405406,24520960,24787736,24905038,25261438,25347536,25363321,25473135,25861950,26046997,26541166,26960610,27037438,27132699,27171344,27391438,27586080,27655855,27751215,27788821,27886203,28003283,28076857,28268521,28366962,28515978,28555477,28757984,28889535,29053002,29222521,29296126,29303576,29425152,29601296,29611127,29717806,30111892,30205016,30209038,30451957,30567762,30574479,30640021,30815504,30817010,30921577,31034340,31108921,31295977,31608238,32226937,32312932,32352732,32444686,32504821,32966523,33091331,33103296,33139966,33187026,33191332,33301458,33556366,33980643,34158517,34506772,34522837,34525726,34667442,34733038,35560846,35583119,35658651,36081327,36327157,36416617,36980412,37241208,37483438,37566052,38030446,38102677,39325486,39368923,39502357,39679635,40004690,40287947,40343806,40750126,40797817,40899819,41478676,41896359,41898238,41992297,42048383,42301610,42324944,42450775,42705886,43117855,43139306,43340137,43642276,43712206,43924021,44024300,44381086,44775615,44916757,45409237,45817657,47222936,47273330,47615562,47760656,48005628,48376852,49020217,49412437,49958521,50111138,50113897,50655646,50720926,50761932,50940930,50963317,51047086,51307726,51741426,51880021,52031797,52262859,52370787,52409977,52636021,52775555,52801438,52829160,53125803,53160937,53533717,53730738,54336992,54374835,54608446,54737038,54752187,54860821,55006837,55079737,55186606,55225321,55571326,55588021,55732597,56000714,56049172,56065215,56147326,56351104,56466766,56522617,56727996,56895892,56980376,57422686,57554210,57585877,57726421,57999824,58057966,58375006,58978357,59197438,59216066,59386846,59432805,59458921,59663797,59702206,59800021,59802896,60005235,60217586,60271252,60457438,61129116,61273006,61345897,61627580,61758723,62023438,62148286,62210686,62346175,63209572,63240757,63330666,63377715,63394992,63768535,64005584,64102923,64260277,64380407,64575097,64739255,64882276,64940446,65181175,65249802,65447017,65508757,66202383,66547321,66636507,67267897,67278258,67602896,67883038,68309086,68329321,68491438,68620021,68629012,68908921,69065052,69114027,69219406,69310357,69884686,70307038,70493497,70788766,71041179,71158802,71209438,71230035,71281084,71319366,71527012,71587340,71689246,71860597,72006282,72394837,72500821,72586126,72909615,73003438,73953096,73954357,74560021,74809321,74815410,74821732,75078238,75393650,75843886,75884857,75978704,76053258,76362217,76522242,76824435,76828178,76832377,76841038,76869291,77111017,77250286,77425438,77432821,77542126,77602427,77687106,77770256,77886421,77976277,78110521,78199657,78217410,78589438,78835883,78995326,79118197,79321876,79329175,79628821,79784067,79803104,80001020,80208286,80456821,80538037,80939797,81013006,81373417,81644821,81760057,81871726,81912697,81946064,82220300,82289257,82613038,82726846,82876777,83197233,83234617,83375737,83431904,83465038,83550517,84594380,84595438,84989566,85074037,85402276,85476042,85598521,85805332,85897321,85904808,86274997,86332021,86417017,86446606,86554191,86940277,87095635,87412021,87414676,87488377,87491538,87504526,87538921,87781966,87836137,87956917,87977235,88039400,88308457,88331317,88501438,88533817,88667086,88942846,88983637,89024821,89186677,89477737,89608021,89767726,89778492,89994517,90077497,90206521,90234363,90253717,90315637,90315646,90330937,90472380,90508921,90567815,90575212,90690037,90808297,90821077,90846421,90932857,91061557,91117177,91192021,91292821,91359097,91603177,91676437,91718521,91816612,91851577,91874456,91876021,91891321,91909717,91912057,91926421,91947157,91972010,92189322,92484650,92707486,92869438,93246766,93362335,93477819,93535635,93594968,93842384,93860892,94481038,94641406,94741779,95121646,95195010,95813038,96001224,96100923,96503872,96642909,97229379,97368676,97973571,97980935,98028286,98342446,98664360,99044325,99125326,99385486,99711507,99771344,99904606,...,114839201406907859533822561895132654929649907837159133123065465581060214026251909609032649489982518184882206570514006488559663916125527289983704026783338171607576542512066951344274956860883250054817281460838291552552097360725257608366480097359314236269818260765749247892583547740923473119081067674659400661725166167696289070519412289499117297771211168894230547904032266628155285072357593857835727288286756146168113441594981301901801575351068728113332513832039983817974858988940798030698756185490529578370574195681887558930209293650795649914036052596352116365481880335893621149302648571365593004797266131381897554191327309006041644031390744128887475702720572912728685963604925394069521610838949773364811153011804106177541418297554315511571270972925765318590913834869592660928384725381902419370666351282864078299795417851636771819625867791725126438844982376884434249070161647537400376095580757989450751414094950915117499126344059324557928902090428060479519128152871579497241631596817249742793294109289722382255292400027599189334224358878381970928883502306398452647937703988216170789111350296357510360565279059937995064770249845593817120510690245377563507553560861141868144460649031469426908433119536396825092595129295206717787696538416483991007228191704660554683378698299773805542328130273630152640450507513306560614726636790828761930370526245930115472490579613080048470078027961939113562526307046899338872580097757651487705622212747832691744057682861954171493433226038137248371697391976104781108246917791442813976432674941406745529940491884387624677776401947537152502788237577018824843661216148487345010551157900306668980619477717809540440379190068953359169269340059852336913801017095190168151376358866227856761959454564813125612451681951589325452982011287540151442560664042062582658499083282135592436241251922907716016452893610037770859992707847578832147753851293186332400472327013955087900217860710764059090187918754767764961096560352958387225889247140430423875759571486503140997983779241404521118132130433441393671103348246466441311414215032844927133619855572016629032743200224290213081227616573404662719207970644491217896528334200271796298357559683266996510481359389856547762446240209489074416699616691940209324691801546329860734286669991188384109077072514283981613888609546252305056751949706100098885046091798793351003709660206310291737503844844870777130571834078936833961207297076590009917704146914254156499455328780108229899918363978327066517405818415272135322651837518174375559899151617476746454517813826693090323671129904762151794047128500245246405535074559089570890322585496661377796324064303427715804608118354380490695752131113489398284483066590898064234207127299162382107791067922067191549947285358482450742208104945941994680125489887654602149471258558675557195311976549600544392293942971008198569131080595227910629865686227562019287801287158708010973571575321984463676763755229270182924714458426907995823180025731552373062140547060979917680877211003120445652589067766490730002060124257783845240235536456769753040623707583808506097199398082}
19179  11993203849818258544261325537718291940286990469742817773624623624736166: {747357,1053965,1091949,1264758,1628345,1877974,1954014,2124429,2317997,2682820,3219384,3486574,3621807,3832600,4153597,4311675,4599120,4905728,4980820,5067065,5096229,5174010,5518944,5551989,5893557,5900356,5933710,5976984,6080478,6105341,6121149,6208812,6724107,6909901,7120452,7483349,7771246,7938429,8306326,8429080,9297357,9482715,9523509,9631865,9885557,10114896,11101780,11216589,11379258,11446318,11558238,11866180,12365086,13016589,13040345,13322136,13327337,13748749,13818358,14080395,14239416,14586549,14922357,14987403,15019088,15540868,15648414,15705069,16019343,16080761,16435865,16762375,16896474,17378349,17934909,18678341,19046229,19370692,19602349,19641070,19723038,20114850,21040557,21372189,21377278,21455840,21504845,21593157,21689269,21924429,22126996,22179094,22201240,22890244,23569284,23577549,23774926,23946250,24046009,24137820,24308345,24347157,24727588,24867965,24976395,25163236,25640629,25663749,25747008,25805814,25901134,25992357,26429389,26473669,26641488,26884126,26920469,26963566,27432317,28640581,28679717,28735500,28857449,28965384,29170014,29841558,29971674,30651200,30984670,31684420,32586057,33059157,33173206,33964180,34482600,34904837,35947480,36093517,36176932,36286557,36410357,36608109,36629470,36781440,37001620,37034326,37181604,37357557,37639865,37756270,37822616,37892157,38021304,38519380,38737336,38792925,38797369,39233536,39283661,39454621,39631237,39811749,40391165,40440915,40556157,40693246,40757016,40765972,41087157,41176798,41320069,41379120,41489165,41790574,42382037,42550443,42773967,43065817,43133465,43136976,43579503,43944189,43955364,44137728,44249368,44401944,44576709,45167838,45307524,45313557,45851643,46152101,46223256,46225515,46551510,46699981,46957565,47373934,47412357,47525789,47544868,47603257,48108436,48159929,48469398,48529098,48667029,49307216,49654944,49709949,49780539,49786998,49857829,49952187,50334549,50749846,51251566,51496726,51505369,51760158,51788589,51848345,52001163,52099557,52229837,52327534,52889429,52906180,53341269,53461397,53576057,54533092,54536821,54552845,54937789,55030375,55470618,55861812,55922141,55971838,56004886,56225157,56349078,57045669,57275158,57286357,58826134,58988229,59028670,59152534,59700820,60007035,60471065,60515709,61125189,62218014,62384249,62847357,62860174,63452415,63487416,64007504,64058829,64073998,64491358,64708959,65268781,65463414,65568309,65657086,66036450,66481366,66571629,67529806,67682576,67921240,68048974,68988568,69683812,69820246,69827716,70061465,70438880,70603006,70834404,70909995,71119865,71225470,71423343,71640984,71702806,72008442,72499780,72565278,73002916,74148766,74645038,74753620,74859214,75166707,75266269,75339065,75538649,75637328,75983469,76081389,76142898,76411395,76570629,76961589,77034475,77149654,77461366,77612139,77861437,78832217,79011965,79202157,79243740,79254166,80006980,80390149,80526238,80559358,80596107,80693237,81102845,81505488,81895597,81909781,81912669,82103321,82105557,82112086,82344964,82779909,83307646,83356989,83488997,84001071,84073758,84220989,84440888,84497429,84503620,84526656,84700149,85091994,85343838,85470564,85786265,85903229,86122606,86134029,86324398,86331315,86414141,86630101,86971198,86999736,87086949,87299926,87374158,87562509,88269844,88796157,88824099,88848676,89080269,89101355,89392597,89408765,89484175,89553309,89704344,89797529,90263638,90326379,90340157,90406878,90686157,91127257,91693674,91843606,91909509,92086736,92152036,92441370,92453141,92563549,93035157,93222429,93224189,93316029,93527165,93986489,94219918,94563934,94610509,94721572,94814358,94973380,94995999,95092488,95353909,95965517,96008376,96067037,96609814,97212820,97323414,97410669,97592206,97874703,98157934,98604128,99152345,99730969,99753880,99931781,...,172258802110361789300733842842698982394474861755738699684598198371590321039377864413548974234973777277323309855771009732839495874188290934975556040175007257411364813768100427016412435291324875082225922191257437328828146041087886412549720146038971354404727391148623871838875321611385209678621601511989100992587749251544433605779118434248675946656816753341345821856048399942232927608536390786753590932430134219252170162392471952852702363026603092169998770748059975726962288483411197046048134278235794367555861293522831338395313940476193474871054078894528174548222820503840431723953972857048389507195899197072846331286990963509062466047086116193331213554080859369093028945407388091104282416258424660047216729517706159266312127446331473267356906459388647977886370752304388991392577088072853629055999526924296117449693126777455157729438801687587689658267473565326651373605242471306100564143371136984176127121142426372676248689516088986836893353135642090719278692229307369245862447395225874614189941163934583573382938600041398784001336538317572956393325253459597678971906555982324256183667025444536265540847918589906992597155374768390725680766035368066345261330341291712802216690973547204140362649679304595237638892693942810076681544807624725986510842287556990832025068047449660708313492195410445228960675761269959840922089955186243142895555789368895173208735869419620072705117041942908670343789460570349008308870146636477231558433319121749037616086524292931257240149839057205872557546087964157171662370376687164220964649012412110118294910737826581437016664602921305728754182356365528237265491824222731017515826736850460003470929216576714310660568785103430038753904010089778505370701525642785252227064538299341785142939181847219688418677522927383988179473016931310227163840996063093873987748624923203388654361877884361574024679340415056656289989061771368248221630776939779498600708490520932631850326791066146088635281878132151647441644840529437580838833870710645635813639357229754711496975668862106781677198195650162090506655022369699661967121322549267390700429783358024943549114800336435319621841424860106994078811955966736826844792501300407694447536339524900494765722039084784821643669360314233611625049425037910313987037702319494791101430004986782576163615608771425972420832914319378457585127924559150148327569137698190026505564490309465437606255767267306165695857751118405250941810945614885014876556220371381234749182993170162344849877545967490599776108727622908202983977756277261563339848727426215119681776720740039635485506694857143227691070692750367869608302611838634356335483878244992066694486096455141573706912177531570736043628196670234097426724599886347096351310690948743573161686601883100787324920928037723676113312157418912992020188234831481903224206887838013335792967964824400816588440914456512297853696620892841865944798529341343028931701930738062016460357362982976695515145632843905274387071687640361993734770038597328559593210820591469876521315816504680668478883601649736095003090186386675767860353304685154629560935561375712759145799097123}
19180  12040743531867636844440890936349858673550344741726319223152094701471924: {325771,440611,784699,996476,1128139,1416434,1455932,1686344,1897137,1926979,2040811,2605352,2816961,2832572,2835619,2931021,3175171,3353525,3401179,3701714,4024230,4157042,4292512,4414651,4790750,4829076,4838954,4975171,5087059,5229861,5310619,5748900,5868259,6132160,6226025,6794972,6898680,7199251,7358592,7375445,7402652,7471230,7553642,7761015,7858076,7969312,8080819,8107304,8161532,8278416,8410219,8629459,8738971,8850534,8900565,8957779,8965476,9120717,9313218,9493936,9503539,10481371,10536350,10584572,10680678,10914091,11022091,11656869,11883499,12205339,12396476,12459489,12526531,12643620,12698012,13141702,13273459,13486528,13877225,14832725,14862139,14955452,15172344,15177931,15388099,15410984,15793394,16643059,16652670,16955179,17068887,17169477,17266651,17337357,17355452,17762848,17799270,18205034,18547629,18641642,18711619,18773860,18985888,19019419,19224259,19426085,19448732,19735099,19896476,19938931,19983204,20165234,20727537,20864552,20940092,21359124,21458491,21961411,22528632,22562539,22862131,23061499,23171132,23311302,23472621,23913212,24213365,24449011,24479474,25344711,25394972,25431451,25724779,26297384,26503819,26697859,26819800,26827754,26891611,27252842,27374731,27658745,27663739,27677354,27751550,27856051,28054076,28143979,28239811,28496252,28612805,28790876,29056038,29232572,29461605,29584557,29668651,29791274,29857939,30172275,30909485,31081291,31425712,31436732,31454045,32014051,32065917,32099954,32183760,32462876,32662699,33094789,33190494,33268641,33301860,33583219,33895169,33949411,34218332,34314451,34329344,34335366,34407752,34656476,35220074,35312371,35353926,35521984,35583019,35662389,35673091,35919375,36206730,36252914,36659131,36665042,37091382,37744854,37901491,37989691,38102954,38314000,38620512,38708721,38718197,38780251,38851701,38893352,38955139,39373037,39564979,39605525,39651811,39788744,39962232,40171291,40326189,40348274,40445349,40516171,40754642,41373331,42052777,42138619,42392419,42455225,43103250,43143814,43180754,43448076,43568251,43755021,44000561,44078876,44316691,44399491,44482219,44762337,44786642,44894779,44934350,44957511,45221165,45223531,45976800,46121659,46252025,46383314,46477005,46526909,46688659,46930579,47278270,47376554,47526630,47572531,47971411,48050971,48149225,48382076,48421670,48810812,49041920,49078699,49575472,49627051,49705099,49759809,49810076,50094259,50522876,50695072,50726642,50946270,50957465,51250939,51403939,51723900,51861211,52093994,52391419,53082332,53292139,53515699,53738611,53812771,53921220,54074876,54256219,54265398,54342688,54782876,54944205,55172160,55280851,55311710,55353499,55502430,55551489,55577642,55772406,56006566,56153714,56537042,56634405,56733924,57031956,57110954,57499459,57515968,57779070,58060771,58106004,58200379,58409251,58445042,58478731,58592252,58607152,58686739,58850304,59031979,59202592,59222254,59375419,59431085,59435612,59717059,59785171,60124651,60135545,60223784,60364997,60410032,60418076,60798211,60903914,60932059,61039869,61135524,61148958,61265419,61280042,61530811,61596979,61631008,61634020,61765197,61843154,62068680,62123731,62217842,62591954,62685861,63034459,63216476,63227779,63356299,63803851,63867499,64374091,64453874,64500019,64625864,64705464,64889372,65000851,65009642,65125339,65249539,65620411,65681971,65866219,65933046,66132725,66182662,66206592,66279932,66293611,66374052,66382664,66536251,66602916,67112732,67435891,67495291,67751757,67961286,67967899,68166365,68317034,68377651,68956891,69013544,69045674,69051452,69334884,69466076,69755731,69827265,70261819,70317691,70651411,70927531,71060901,71092339,71121692,71166238,71317302,71799019,72162654,72227851,72440539,72654314,72704097,72793647,72833234,73331611,73383379,73538251,73589731,73885777,73960824,73998979,74252419,74403619,74482416,74554171,74626025,74680497,74966876,75001939,75100651,75132104,75248179,75492619,76060892,76124769,76205354,76499611,76781491,76877349,76921459,76967971,77245089,77474851,77640237,77702371,77928091,77973019,78107371,78491301,78638299,78650972,78737846,79004714,79287379,79359270,79457731,80003419,80009380,80086291,80292211,80455651,80575894,80617939,80687612,80859211,80899171,80939059,81058291,81500252,81528739,81595634,81721699,81799638,82364299,82549339,82841659,82957352,83205927,83342131,83552299,83621779,83792718,83796476,83957757,83984594,84007329,84066379,84096766,84200731,84367051,84498811,84523617,84603220,84649888,84726619,84791059,84823171,84901550,85140331,85171651,85358059,85411772,85604717,85662979,85812739,85912737,86222491,86235710,86278612,86308459,86478451,86506531,86645851,86680274,86946019,87104765,87284552,87284645,87424412,87520219,87595819,87695611,87794251,87843139,87848042,87940051,88048600,88239201,88361899,88543005,88608211,88728801,88762172,88866979,89115379,89135611,89175859,89235691,89275949,89468539,89551230,89709091,89727091,89780659,89816011,89833514,90121219,90153691,90280699,90296251,90624725,90634957,90661651,90808171,90818474,90933811,91141819,91163491,91253645,91257451,91267531,91401091,91419019,91445371,91536451,91582459,91618819,91632859,91635314,91653379,91666699,91794211,91844899,91857211,91879891,91896811,91906099,91922731,91936771,91942819,91944691,91951459,91958299,91966579,93327021,93442025,94290261,94445872,94546660,95231124,95521312,96011256,96110997,96737037,96753704,98040434,98195121,98485629,98824874,99054675,99722049,99917042,...,229678402813815719067645123790265309859299815674318266246130931162120428052503819218065298979965036369764413141028012977119327832251054579967408053566676343215153085024133902688549913721766500109634562921676583105104194721450515216732960194718628472539636521531498495785167095481846946238162135349318801323450332335392578141038824578998234595542422337788461095808064533256310570144715187715671454576573512292336226883189962603803603150702137456226665027664079967635949717977881596061397512370981059156741148391363775117860418587301591299828072105192704232730963760671787242298605297142731186009594532262763795108382654618012083288062781488257774951405441145825457371927209850788139043221677899546729622306023608212355082836595108631023142541945851530637181827669739185321856769450763804838741332702565728156599590835703273543639251735583450252877689964753768868498140323295074800752191161515978901502828189901830234998252688118649115857804180856120959038256305743158994483263193634499485586588218579444764510584800055198378668448717756763941857767004612796905295875407976432341578222700592715020721130558119875990129540499691187634241021380490755127015107121722283736288921298062938853816866239072793650185190258590413435575393076832967982014456383409321109366757396599547611084656260547260305280901015026613121229453273581657523860741052491860230944981159226160096940156055923878227125052614093798677745160195515302975411244425495665383488115365723908342986866452076274496743394783952209562216493835582885627952865349882813491059880983768775249355552803895074305005576475154037649687322432296974690021102315800613337961238955435619080880758380137906718338538680119704673827602034190380336302752717732455713523918909129626251224903363903178650905964022575080302885121328084125165316998166564271184872482503845815432032905787220075541719985415695157664295507702586372664800944654027910175800435721421528118180375837509535529922193120705916774451778494280860847751519142973006281995967558482809042236264260866882787342206696492932882622828430065689854267239711144033258065486400448580426162455233146809325438415941288982435793056668400543592596715119366533993020962718779713095524892480418978148833399233383880418649383603092659721468573339982376768218154145028567963227777219092504610113503899412200197770092183597586702007419320412620583475007689689741554261143668157873667922414594153180019835408293828508312998910657560216459799836727956654133034811636830544270645303675036348751119798303234953492909035627653386180647342259809524303588094257000490492811070149118179141780645170993322755592648128606855431609216236708760981391504262226978796568966133181796128468414254598324764215582135844134383099894570716964901484416209891883989360250979775309204298942517117351114390623953099201088784587885942016397138262161190455821259731372455124038575602574317416021947143150643968927353527510458540365849428916853815991646360051463104746124281094121959835361754422006240891305178135532981460004120248515567690480471072913539506081247415167617012194398796164}
19181  12088470304732849757572310203715578720233171948407496808213427646803212: {19181,1245595,1475551,1494714,1819915,2107930,2124651,2183898,2279683,2529516,2739451,3256690,3540715,3755948,3908028,4248858,4635994,5365640,5552571,6036345,6105979,6235563,6438768,6526399,6973148,7093891,7186125,7215403,7243614,7258431,7484131,7665200,8307194,8363743,8493715,8623350,9198240,9253315,9811456,9822595,9961640,10134130,10192458,10201915,10348020,11037888,11103978,11206845,11330463,11682931,11787114,11800712,11867420,11953968,12160956,12210682,12242298,12417624,13230715,13275801,13448214,13484611,13819802,13969827,13977451,14240904,14895259,14966698,15495595,15542492,15804525,15872515,15876858,16021017,16271971,16612652,16858160,17189779,17426431,18256483,18594714,18680299,18694315,18965430,19047018,19263730,19712553,19771114,20229792,20350891,21185659,21694315,22074403,22203560,22433178,22758516,22892636,23010211,23116476,23467325,23690091,23732360,24310915,24730172,24870595,24979005,26033178,26080690,26175115,26644272,26654674,26698905,26923291,27307551,27497498,27636716,27962463,28160790,28478832,28963915,29098399,29173098,29844714,29891515,29974806,30038176,30087583,30106783,30247851,31081736,31169071,31296828,31410138,31743715,32038686,32161522,32252443,32420011,32835451,32871730,33524750,33792948,33894211,34031683,34666543,34756698,34815151,34966953,35067595,35620315,35869818,35988595,36540715,36596971,36719211,37356682,38092458,38741384,39034243,39204698,39282140,39287779,39295915,39446076,39874879,40229700,40241631,40390243,40578595,40879263,41100883,41114491,41251171,41476051,41516031,41627325,41992879,42081114,42163183,42744378,42754556,42772915,42911680,43009690,43186314,43320595,43378538,43584057,43696243,43848858,44003839,44253992,44358188,44402480,44686911,45780488,45899083,46156939,46476991,46884511,47138568,47155098,47368159,47530771,47549852,47716579,47892500,48092018,48149931,48275640,48403423,48616690,48694314,48806371,49455176,49735930,49785741,49952790,50104771,50326472,51281258,51327498,51494016,51503049,51611628,51802268,51984714,52235359,52393531,52651771,52695811,52830111,52858778,52947338,53030889,53282976,53467051,53768252,53825803,53840938,53927132,54310095,54379371,54682291,54864634,54997563,55098595,55509859,55589551,55637073,55800379,56337919,56547631,56617281,57154431,57281162,57359434,57471000,57714898,57930768,58084831,58340028,59628763,59683116,59943348,60386851,60477595,60522411,61013515,61131963,61302400,61605331,61726171,61969340,62262595,63153595,63181651,63368840,64516639,64654875,64715721,64771131,65143843,65172114,65740591,66089803,66118314,66346412,66352915,66686611,67179963,67401525,67593595,67928360,68478595,68592799,68612611,68965200,69517099,69574971,69809674,70917405,71064831,71289945,71894960,72187034,72353864,72573114,72587683,72632505,72820714,73216218,73240315,73258940,73562880,74003240,74068652,74294515,74317951,74363208,74715114,75279730,75367483,75512540,75522595,75645232,75784314,75907711,76042608,76089963,76373983,76419405,76641403,77038760,77042525,77124091,77474672,77585850,77594738,78136543,78140991,78467072,78567322,78909242,79020595,79149631,79262474,79568611,79623498,79804639,80393251,80701771,80748211,80782330,80881830,81111715,81112314,81386492,81398097,81514032,81531944,81981691,82174314,82353596,82640138,82677691,82758240,82849915,82967565,82978330,83205379,83253645,83366463,83581148,83658609,83890915,84009849,84230571,84659491,84764074,84805563,85049539,85100886,85547934,85666431,86131634,86266930,86273952,86314315,86668605,86775343,86789683,86826619,86832595,87159006,87561631,87667563,87765619,87888378,87910728,88275456,88498736,88803888,88833381,88902115,89153418,90186559,90335676,90451999,90615048,90627114,91355871,91703286,91723437,91920063,91949791,92129071,92156011,92304202,92446512,92451030,92764731,93103020,93326763,93399962,93708595,93887931,93915130,94070251,94438303,94747868,94824714,95051578,95076115,95089736,95206514,95217643,96216872,96319858,96384331,96680811,96938796,97058196,97334058,97514463,97838371,98086051,98313715,98482879,98488843,98614432,98668771,98899569,99000691,99273993,99309888,99419898,99561078,99567811,99573996,99715658,99904374,...,344517604220723578601467685685397964788949723511477399369196396743180642078755728827097948469947554554646619711542019465678991748376581869951112080350014514822729627536200854032824870582649750164451844382514874657656292082175772825099440292077942708809454782297247743677750643222770419357243203023978201985175498503088867211558236868497351893313633506682691643712096799884465855217072781573507181864860268438504340324784943905705404726053206184339997541496119951453924576966822394092096268556471588735111722587045662676790627880952386949742108157789056349096445641007680863447907945714096779014391798394145692662573981927018124932094172232386662427108161718738186057890814776182208564832516849320094433459035412318532624254892662946534713812918777295955772741504608777982785154176145707258111999053848592234899386253554910315458877603375175379316534947130653302747210484942612201128286742273968352254242284852745352497379032177973673786706271284181438557384458614738491724894790451749228379882327869167146765877200082797568002673076635145912786650506919195357943813111964648512367334050889072531081695837179813985194310749536781451361532070736132690522660682583425604433381947094408280725299358609190475277785387885620153363089615249451973021684575113981664050136094899321416626984390820890457921351522539919681844179910372486285791111578737790346417471738839240145410234083885817340687578921140698016617740293272954463116866638243498075232173048585862514480299678114411745115092175928314343324740753374328441929298024824220236589821475653162874033329205842611457508364712731056474530983648445462035031653473700920006941858433153428621321137570206860077507808020179557010741403051285570504454129076598683570285878363694439376837355045854767976358946033862620454327681992126187747975497249846406777308723755768723148049358680830113312579978123542736496443261553879558997201416981041865263700653582132292177270563756264303294883289681058875161677667741421291271627278714459509422993951337724213563354396391300324181013310044739399323934242645098534781400859566716049887098229600672870639243682849720213988157623911933473653689585002600815388895072679049800989531444078169569643287338720628467223250098850075820627974075404638989582202860009973565152327231217542851944841665828638756915170255849118300296655138275396380053011128980618930875212511534534612331391715502236810501883621891229770029753112440742762469498365986340324689699755091934981199552217455245816405967955512554523126679697454852430239363553441480079270971013389714286455382141385500735739216605223677268712670967756489984133388972192910283147413824355063141472087256393340468194853449199772694192702621381897487146323373203766201574649841856075447352226624314837825984040376469662963806448413775676026671585935929648801633176881828913024595707393241785683731889597058682686057863403861476124032920714725965953391030291265687810548774143375280723987469540077194657119186421641182939753042631633009361336957767203299472190006180372773351535720706609370309259121871122751425518291598194246}
19182  12136384899419480295031424732759021404235628508862284261620931527395379: {364097,651542,784781,822977,881222,1166381,1569398,1927181,1965137,1992952,2078957,2154797,2242071,2256278,2495681,2832868,2873681,2911864,3161895,3275847,3288557,3372688,3439181,3794274,3853958,4081622,4227857,4694935,4885035,4975697,5087597,5124881,5210704,5348417,5633922,5665144,5671238,5862042,5905997,6350342,6373287,6707050,6802358,6953991,7126337,7310477,7403428,7678157,8048460,8118317,8228177,8314084,8585024,8666897,8716435,8829302,9177281,9395537,9581500,9658152,9677908,9722381,9950342,10174118,10325623,10459722,10621238,10865421,11131217,11497800,11736518,11884781,11920577,12206657,12242381,12264320,12452050,12460791,12935025,12955181,13589944,13629377,13700177,13797360,14159597,14398502,14717184,14750890,14805304,14834275,14898881,14942460,15107284,15201195,15214637,15288687,15522030,15634637,15716152,15938624,16123181,16161638,16214608,16323064,16556832,16655967,16820438,16957037,17258918,17372237,17477942,17680671,17682881,17701068,17801130,17889617,17915558,17930952,18027281,18241434,18316023,18363447,18405197,18626436,18747917,18850577,18987872,19007078,19021517,19055681,19226381,19260497,19428115,19771277,20172321,20280257,20729703,20765815,20962742,21072700,21169144,21361356,21460877,21595181,21828182,21963857,22044182,22450047,22565057,22897937,23097281,23263181,23313738,23561297,23766998,23815287,24410678,24792952,24878417,24918978,25053062,25287240,25396024,25434317,25760237,26283404,26506817,26546918,26894657,26973056,27196519,27474257,27754450,27859217,27892071,28147181,28274957,28338797,28448145,28570527,28615795,28895595,29134097,29608877,29656671,29665450,29703617,29724278,29910904,30239117,30344688,30355862,30776198,30821968,30912715,31116077,31586788,31645457,31769681,32234381,32666477,33286118,33305340,33617681,33649767,33898711,33910358,33953357,34044737,34137774,34257677,34338954,34348817,34533302,34545895,34674714,34710904,35525696,35598540,35617217,35707277,36305837,36410068,36484781,36663437,36782381,37095258,37283284,37404737,37423238,37547720,37935377,37971776,38038838,38111681,38448518,38551181,38722243,38726477,38852170,38897464,38988881,39049767,39121035,39395777,39470198,39569681,39792952,39858881,39877862,39966408,39982011,40057927,40330468,40607057,40864781,41246247,41455074,41729104,41880184,42002381,42143681,42241185,42397517,42425681,42718248,42819137,42916982,43238957,43273279,43406381,43759647,43922822,43990097,44005159,44035663,44349677,44767071,44900237,44927681,44962209,45057264,45125078,45174317,45724262,45883181,46122998,46127297,46316717,46342264,46451777,46531771,46622604,46945242,47115207,47338157,47826424,47924237,48058029,48242283,48426730,48532817,48898022,48958948,49084781,49102675,49307595,49581137,49970957,50100497,50126381,50287125,50689422,50789944,50862902,50899181,51027281,51257357,51449558,51893057,52000663,52135047,52423181,52594768,52699457,53007638,53149457,53323757,53395718,53443195,53547281,53639600,53655508,53783222,53804727,54066317,54263117,54505684,54749462,54874817,54986347,55020881,55287917,55317490,55327478,55354708,55360577,55384781,55447735,55503100,55712102,55867181,56035023,56108152,56250797,56287958,56370257,56465681,56479622,56940881,56992504,57138687,57225610,57389357,57581752,57741377,58091597,58112076,58465144,58694381,58717457,58807047,58832717,58923210,59039681,59062637,59169114,59177297,59337302,59437315,59582548,59715878,59724881,59815697,59861057,59865625,60344550,60604877,60962381,61295681,61737281,61818970,61825217,62153837,62162582,62851424,62873464,62908090,63121671,63257681,63309631,63386177,63493037,63557057,64028102,64116567,64131834,64199908,64367520,64403777,64514535,64752835,64779471,64925752,65067807,65279057,65325398,65464781,65567681,65773287,65895617,66189578,66201197,66380988,66537282,66565517,66603720,66686381,66987281,67166438,67210315,67286381,67408915,67464977,67563917,67702097,67790338,67859537,67898822,68094737,68270381,68387117,68436664,68561681,68628902,68639057,68658688,68670732,68815504,68966477,69157997,69312952,69614381,69878477,70271681,70290317,70440148,70624742,70707852,70732647,70992557,71043968,71120657,71166038,71266577,71324778,71340451,71346182,71809217,71827181,71838750,72138027,72291437,72413460,72450881,72505828,72925035,73041471,73238381,73318262,73330084,73393937,73411181,73600337,73651757,73771457,74009681,74182764,74364077,74581697,74603895,74681681,74929185,75012881,75259181,75275537,75489708,75762497,75802982,75810797,75979382,75987281,76205908,76526657,76605197,76628000,76714817,76921887,76991247,77164781,77241024,77417442,77436394,77461675,77486417,77560502,77623181,77703402,77786704,77910278,77939777,77977071,77999681,78133997,78533057,78746074,78752237,79129958,79170881,79211050,79288167,79303622,79421007,79577488,79610957,79653137,79723277,79924464,80029517,80304557,80342582,80481617,80508737,80652378,80684237,80696548,80761407,80890698,80911697,80964881,81032342,81346637,81502637,81509284,81541457,81554381,81631757,82240397,82296951,82611437,82746662,82818497,82854797,82866881,82927181,82933015,83035217,83203519,83507537,83577281,83646737,83681357,83978381,84091181,84105554,84147281,84189763,84214337,84277238,84784838,84910450,85122881,85372097,85474577,85626797,85826957,85921743,86039151,86206500,86287628,86322881,86332397,86361508,86408237,86474177,86572347,86896152,86960717,86969681,87049997,87136502,87156077,87407681,87510042,87535181,87817517,87866381,87979277,88001122,88035137,88157752,88377281,88407617,88631057,88633382,88740077,88798982,88882637,88964438,88966637,89070017,89484557,89490881,89524674,89573284,89670797,89731277,89789558,89796881,89832257,89868700,89915022,89993537,90077357,90143117,90170177,90250157,90297281,90302477,90394637,90442330,90447062,90637037,90669377,90888977,90967181,91050257,91137197,91159181,91226897,91285037,91334417,91421777,91436717,91454381,91500077,91541057,91549037,91573675,91602881,91639181,91653197,91684781,91686977,91693517,91737281,91749137,91812557,91841357,91864781,91891181,91908881,91915457,91925777,91928717,91938881,91947281,91953600,91955597,91962317,91964177,91970381,91970897,91982381,91983917,91984577,91985681,92243318,92504050,92585815,92766628,92954010,93053818,93377318,93861158,94390675,94556540,94753108,95053260,95145062,95432911,95942822,96101942,96298450,96764152,96843340,97621624,97758171,98083840,98157398,99150944,99177471,99254102,99410198,99519618,99620152,...,516776406331085367902201528528096947183424585267216099053794595114770963118133593240646922704921331831969929567313029198518487622564872804926668120525021772234094441304301281049237305873974625246677766573772311986484438123263659237649160438116914063214182173445871615516625964834155629035864804535967302977763247754633300817337355302746027839970450260024037465568145199826698782825609172360260772797290402657756510487177415858558107089079809276509996312244179927180886865450233591138144402834707383102667583880568494015185941821428580424613162236683584523644668461511521295171861918571145168521587697591218538993860972890527187398141258348579993640662242578107279086836222164273312847248775273980141650188553118477798936382338994419802070719378165943933659112256913166974177731264218560887167998580772888352349079380332365473188316405062763068974802420695979954120815727413918301692430113410952528381363427279118028746068548266960510680059406926272157836076687922107737587342185677623842569823491803750720148815800124196352004009614952718869179975760378793036915719667946972768551001076333608796622543755769720977791466124305172177042298106104199035783991023875138406650072920641612421087949037913785712916678081828430230044634422874177959532526862670972496075204142348982124940476586231335686882027283809879522766269865558729428686667368106685519626207608258860218115351125828726011031368381711047024926610439909431694675299957365247112848259572878793771720449517171617617672638263892471514987111130061492662893947037236330354884732213479744311049993808763917186262547069096584711796475472668193052547480210551380010412787649730142931981706355310290116261712030269335516112104576928355756681193614898025355428817545541659065256032568782151964538419050793930681491522988189281621963245874769610165963085633653084722074038021245169968869967185314104744664892330819338495802125471562797895550980373198438265905845634396454942324934521588312742516501612131936907440918071689264134490927006586320345031594586950486271519965067109098985901363967647802172101289350074074830647344401009305958865524274580320982236435867900210480534377503901223083342609018574701484297166117254354464931008080942700834875148275113730941961113106958484373304290014960347728490846826314277917262498742958135372755383773677450444982707413094570079516693470928396312818767301801918497087573253355215752825432836844655044629668661114143704247548979510487034549632637902471799328326182868724608951933268831784690019546182278645359045330162220118906456520084571429683073212078251103608824907835515903069006451634734976200083458289365424721120736532594712208130884590010702292280173799659041289053932072846230719485059805649302361974762784113171028339936472256738976060564704494445709672620663514040007378903894473202449765322743369536893561089862678525597834395588024029086795105792214186049381072088948930086545436898531715823161215062921085981204310115791985678779632461774409629563947449514042005436650804949208285009270559160027303581059914055463888682806684127138277437397291369}
19183  12184488049768796375724260680186293396250008737927478152024025892907316: {19183,38362,977313,1321833,1743833,2354097,2491190,2547881,2951102,2989428,3237533,3384417,3541085,3639830,4215860,4249302,4367796,4559366,4957001,5059032,5478902,5691411,5780937,6122433,6513380,6527081,7081430,7216157,7511896,7713017,7816056,8364617,8450883,8497716,8506857,8793063,9254285,9271988,9525513,10060575,10203537,10392605,10731280,11105142,11891201,11976875,12072690,12097385,12211958,12471126,12877536,12954641,13052798,13243953,13751633,13946296,14187782,14282681,14372250,14430806,14487228,14516862,14925513,14968262,15261177,15330400,15621857,15689583,15931857,16614388,16727486,16987430,17246700,17604777,18375281,18396480,18506630,18523001,18678075,18884105,19622912,19645190,19923280,20268260,20384916,20403830,20594873,20696040,21597753,21605177,21693833,22075776,22076717,22126335,22207956,22221521,22413690,22660926,23283045,23365862,23574228,23601424,23734840,23907936,24051053,24242457,24321912,24421364,24484596,24835248,25037597,25230657,25633841,25888377,26172041,26216913,26340875,26461430,26551602,26701695,26873337,26896428,26969222,27362151,27639604,27939654,27954902,28481808,28510617,29790518,29933396,30090737,30372041,30991190,31084984,31444113,31444781,31609050,31745030,31753716,32042034,32047073,32543942,32742273,32854255,33066273,33225304,33716320,34035281,34083137,34379558,34389017,34670177,34818833,34852862,34970607,35650497,36512966,36616017,36645161,37086041,37189428,37360598,37378467,37388630,37579593,37930860,38094036,38527460,38805533,39425106,39483485,39542228,39820377,40292417,40394477,40459584,40549481,40701782,40902497,41531897,41631675,41666921,41848121,41997281,42371318,43175777,43388630,43499273,44148806,44407120,44441201,44498175,44586417,44866356,45512585,45517032,45533793,45785272,45936281,46020422,46164297,46232952,46604105,46709777,46934650,47124857,47296841,47380182,47464720,47721581,47760857,48408497,48589853,48621830,49064537,49094633,49460344,49741190,49868441,49929177,49958010,50044217,50384033,50413085,50735021,50865537,51157001,51206661,51508431,51516173,51799953,52004537,52012071,52066356,52161380,52350230,53288544,53309348,53397810,53846582,54548297,54615102,54927353,54949313,54994996,55014281,55273432,55642887,55924926,56134857,56321580,56810033,56905337,56957664,57058257,57073517,57672777,57927830,58196798,58217657,58278255,58346196,58846097,59205297,59648681,59689428,59783030,59816793,59882081,59949612,60048281,60076352,60175166,60213566,60495702,60648833,61198685,61650077,61732697,62163472,62182611,62250413,62338142,62593656,62820276,63188333,63487430,64077372,64323044,64375473,64504886,64840022,64931537,65670902,65743460,65884233,66018257,66581177,67049500,67069385,67585896,67687617,67788422,68063366,68132105,68586393,68853017,69184497,69193385,69333086,69378875,69513396,69630302,69933906,70135190,70417863,71240630,71739636,71977190,72640095,72908177,73081430,73193942,73347033,73438422,74478185,74713364,76034133,76184916,76246937,76294353,76776221,77138033,77174337,77482768,78068486,78348017,78409396,78564280,78575558,78591830,78892152,79009577,79511457,79749758,79766537,80093577,80249885,80459400,80483262,80674833,80780486,81064217,81157190,81758526,81927017,82052657,82124193,82201766,82228982,82502342,82509881,82952102,82976235,82991217,83032062,83254650,83568153,83985758,84162228,84314873,84326366,84431937,84668633,84719433,85418921,85488756,85509112,85545830,85823360,85838415,86019380,86372628,86641190,86757076,87167633,87168114,87392486,87697716,88007678,88050185,88384815,88415033,88507984,88716376,88753671,88804960,88943681,89005953,89198297,89373822,89573817,89709113,90196097,90516825,90632285,91146653,91560976,91662605,91798166,92313878,92728455,92894081,92953982,93243873,93540473,93769022,94277136,94310196,94362135,94631033,94736318,95061542,95099704,95257385,95433158,95785000,95870033,96042153,96184036,96197751,96299862,96356621,96551280,96806846,96887453,97233380,97388628,97612742,97988097,98425121,98910352,99284367,99471860,99571482,99589277,99805923,99905580,...,689035208441447157202935371370795929577899447022954798738392793486361284157511457654195896939895109109293239423084038931357983496753163739902224160700029029645459255072401708065649741165299500328903688765029749315312584164351545650198880584155885417618909564594495487355501286445540838714486406047956403970350997006177734423116473736994703786627267013365383287424193599768931710434145563147014363729720536877008680649569887811410809452106412368679995082992239902907849153933644788184192537112943177470223445174091325353581255761904773899484216315578112698192891282015361726895815891428193558028783596788291385325147963854036249864188344464773324854216323437476372115781629552364417129665033698640188866918070824637065248509785325893069427625837554591911545483009217555965570308352291414516223998107697184469798772507109820630917755206750350758633069894261306605494420969885224402256573484547936704508484569705490704994758064355947347573412542568362877114768917229476983449789580903498456759764655738334293531754400165595136005346153270291825573301013838390715887626223929297024734668101778145062163391674359627970388621499073562902723064141472265381045321365166851208866763894188816561450598717218380950555570775771240306726179230498903946043369150227963328100272189798642833253968781641780915842703045079839363688359820744972571582223157475580692834943477678480290820468167771634681375157842281396033235480586545908926233733276486996150464346097171725028960599356228823490230184351856628686649481506748656883858596049648440473179642951306325748066658411685222915016729425462112949061967296890924070063306947401840013883716866306857242642275140413720155015616040359114021482806102571141008908258153197367140571756727388878753674710091709535952717892067725240908655363984252375495950994499692813554617447511537446296098717361660226625159956247085472992886523107759117994402833962083730527401307164264584354541127512528606589766579362117750323355335482842582543254557428919018845987902675448427126708792782600648362026620089478798647868485290197069562801719133432099774196459201345741278487365699440427976315247823866947307379170005201630777790145358099601979062888156339139286574677441256934446500197700151641255948150809277979164405720019947130304654462435085703889683331657277513830340511698236600593310276550792760106022257961237861750425023069069224662783431004473621003767243782459540059506224881485524938996731972680649379399510183869962399104434910491632811935911025109046253359394909704860478727106882960158541942026779428572910764282771001471478433210447354537425341935512979968266777944385820566294827648710126282944174512786680936389706898399545388385405242763794974292646746407532403149299683712150894704453248629675651968080752939325927612896827551352053343171871859297603266353763657826049191414786483571367463779194117365372115726807722952248065841429451931906782060582531375621097548286750561447974939080154389314238372843282365879506085263266018722673915534406598944380012360745546703071441413218740618518243742245502851036583196388492}
19184  12232780492468671802284719720369850797551984253764612032972876408809928: {57543,728194,823063,1303084,1569562,1645954,1762444,1851439,1965343,2332762,3138796,3736785,3854362,3930274,3985904,4003303,4157914,4309594,4426653,4484142,4512556,4991362,5125423,5269825,5459745,5665736,5747362,5823728,6323790,6373953,6551694,6572909,6577114,6745376,6839049,6878362,7458439,7588548,7707916,8141725,8163244,8218353,8455714,9389870,9759703,9770070,9951394,10175194,10194439,10249762,10421408,10622145,10696834,11168383,11267844,11330288,11342476,11589985,11706943,11724084,11811994,11921863,12203009,12243703,12700684,12746574,12778663,13414100,13418239,13524583,13604716,13843183,13907982,13949239,14252674,14478439,14620954,14806856,15356314,16055239,16096920,16159783,16236634,16456354,16628168,16657713,17170048,17333794,17432870,17615839,17658604,18109035,18317937,18354562,18706689,18791074,19057783,19163000,19262623,19316304,19355816,19444762,19579197,19671439,19900684,20282503,20348236,20651246,20767985,20919444,21093223,21242476,21281673,21558375,21646209,21730842,21775293,21798823,22262434,22452393,22995600,23298943,23473036,23597023,23769562,23841154,24413314,24484762,24528640,24904100,24921582,25091229,25273903,25335325,25481145,25665439,25870050,25910362,26055823,27179888,27199361,27258754,27400354,27594720,27759945,28319194,28797004,29072141,29434368,29467785,29501780,29610608,29612263,29668550,29797762,29884920,30214568,30368263,30402390,30429274,30526705,30556543,30577374,30605745,31025983,31044060,31269274,31306783,31432304,31877248,32246362,32323276,32330839,32429216,32646128,33113664,33311934,33620535,33640876,33914074,33991389,34261663,34517836,34549505,34625839,34744474,34955884,35048793,35361342,35365762,35402136,35602260,35779234,35831116,35861904,36054562,36339943,36429439,36482868,36518863,36632046,36726894,36810394,37252872,37409143,37416745,37495834,37674823,37701154,37975744,38014156,38043034,38111362,38452762,38520994,38555743,38856230,39429463,39542554,39692145,39827403,40062113,40344642,40453833,40560514,40812439,41459406,41531630,41909481,41925484,41932353,42145400,42338288,42430783,42722712,42921754,43190362,43277801,43355839,43656364,43927714,44088364,44603239,44685777,44900094,44933143,45130114,45425839,45795874,45915943,46194562,46486785,46526362,46565383,46627476,47122594,47413575,47450839,47533996,47617545,47630574,47930143,48063051,48159325,48364253,48565183,48815913,48821356,49427785,49585904,49756834,49837956,50106124,50132623,50574480,50792048,50868634,51520474,51569337,52006097,52051423,52279293,52505239,52566808,53013634,53093836,53181103,53263837,53789314,53946112,54368239,54393038,54769449,54948514,54992093,55100839,55391863,55508900,55718434,55784142,55898383,56040897,56082945,56294362,56549914,56615863,56677594,56896290,56971903,57141054,57184663,57231590,57678583,57791190,58268194,58378063,58725103,59070343,59137659,59217754,59313342,59330900,59345239,59407234,59448556,59687239,59821808,60095263,60365839,60478234,60689376,60711724,60842881,61052673,61455329,61552396,61643936,61767463,61825430,61965103,62232154,62423743,62943583,63173576,63290914,63539362,63556977,63586903,63969439,64468762,64601239,64664023,65082945,65201725,65332954,65535439,66223209,66572236,66610680,66636685,66996463,67235362,67295623,67299534,67592983,67797422,67820716,67906714,68089474,68275548,68299303,68515354,68677908,68697634,68743745,68879983,69030633,69066604,69091790,69349428,69421808,69624103,70019743,70300183,70401975,70800439,71020903,71051392,71070273,71197080,71234434,71414554,71621239,71837383,71945023,72611674,72820136,72932745,72969562,73326874,73421743,73564762,74190516,74566568,74611785,74809474,74820473,74846476,74937015,75095440,75286543,75725239,75870754,75943552,76077676,76223362,76443439,76897036,77102362,77191663,77444486,77452954,77626829,77704340,77794928,77977762,78056239,78099534,78242070,78525345,78791554,78940396,79139362,79154239,79368439,79585904,79717762,79749463,79755724,79932816,79958623,79964022,80096715,80115854,80165983,80403805,80575303,80615839,80660936,80769873,81017239,81214114,81450463,81567103,81729562,81922653,81951223,81989239,82179325,82328143,82492494,82734439,82880023,82910148,83096239,83212241,83274439,83458208,83485903,83760368,83811875,83832583,83887389,84003223,84004762,84172063,84287362,84438463,84482370,84667783,84795034,84797239,84851362,85427239,85436496,85638274,85833964,86174239,86346823,86477914,86488663,86546558,86739439,86812762,86849023,86891745,86984383,87295197,87519294,87659239,87845644,87980194,88002463,88010318,88071326,88354543,88377439,88490839,88580263,88699354,89030839,89051503,89234239,89254183,89506903,89534142,89637943,89674545,89783383,89800474,89855362,89924418,90043663,90114528,90250156,90262749,90319063,90320349,90348634,90380839,90471343,90653969,90658543,90727303,90743553,90859423,90872239,91223239,91265143,91448524,91475023,91582663,91664239,91705063,91755463,91766362,91907239,91910983,91968439,91970743,91989823,92245996,92254594,92633434,92684528,92903554,93063542,93245208,93391705,93507213,93890484,94094441,94230414,94372481,94676314,94859281,95231145,95652848,95848474,96116058,96484566,96757329,96853460,97065634,97260033,97796044,97917896,98011745,98169562,98205350,98506353,98615190,99162274,99941914,...,1033552812662170735804403057056193894366849170534432198107589190229541926236267186481293845409842663663939859134626058397036975245129745609853336241050043544468188882608602562098474611747949250493355533147544623972968876246527318475298320876233828126428364346891743231033251929668311258071729609071934605955526495509266601634674710605492055679940900520048074931136290399653397565651218344720521545594580805315513020974354831717116214178159618553019992624488359854361773730900467182276288805669414766205335167761136988030371883642857160849226324473367169047289336923023042590343723837142290337043175395182437077987721945781054374796282516697159987281324485156214558173672444328546625694497550547960283300377106236955597872764677988839604141438756331887867318224513826333948355462528437121774335997161545776704698158760664730946376632810125526137949604841391959908241631454827836603384860226821905056762726854558236057492137096533921021360118813852544315672153375844215475174684371355247685139646983607501440297631600248392704008019229905437738359951520757586073831439335893945537102002152667217593245087511539441955582932248610344354084596212208398071567982047750276813300145841283224842175898075827571425833356163656860460089268845748355919065053725341944992150408284697964249880953172462671373764054567619759045532539731117458857373334736213371039252415216517720436230702251657452022062736763422094049853220879818863389350599914730494225696519145757587543440899034343235235345276527784943029974222260122985325787894074472660709769464426959488622099987617527834372525094138193169423592950945336386105094960421102760020825575299460285863963412710620580232523424060538671032224209153856711513362387229796050710857635091083318130512065137564303929076838101587861362983045976378563243926491749539220331926171267306169444148076042490339937739934370628209489329784661638676991604250943125595791101960746396876531811691268792909884649869043176625485033003224263873814881836143378528268981854013172640690063189173900972543039930134218197971802727935295604344202578700148149661294688802018611917731048549160641964472871735800420961068755007802446166685218037149402968594332234508708929862016161885401669750296550227461883922226213916968746608580029920695456981693652628555834524997485916270745510767547354900889965414826189140159033386941856792625637534603603836994175146506710431505650865673689310089259337322228287408495097959020974069099265275804943598656652365737449217903866537663569380039092364557290718090660324440237812913040169142859366146424156502207217649815671031806138012903269469952400166916578730849442241473065189424416261769180021404584560347599318082578107864145692461438970119611298604723949525568226342056679872944513477952121129408988891419345241327028080014757807788946404899530645486739073787122179725357051195668791176048058173590211584428372098762144177897860173090873797063431646322430125842171962408620231583971357559264923548819259127894899028084010873301609898416570018541118320054607162119828110927777365613368254276554874794582738}
19185  12281262967064548994191924175284692614414655106124383745857093808406042: {38366,76724,1092291,1628855,1954626,2203055,2318723,2354343,2468931,2643666,3487666,3499143,3582359,3923495,4708194,4957519,4982380,5095762,5640695,5781543,5895411,5902204,5978856,6236871,6464391,6475066,6726213,6768834,7082170,7279660,7487043,7713823,8431720,8498604,8621043,8735592,9118732,9435527,9485685,9634895,9827541,9865671,9914002,10118064,10124531,10204055,10317543,10957804,11147543,11382822,11561874,12244866,12683571,12955999,13026760,13054162,14084805,14162860,14178095,14432314,14549647,14655105,14927091,15023792,15262791,15277679,15374643,15426034,15632112,15875855,16045251,16729234,16767625,16901766,16936339,16995432,17005895,17013714,17586126,17717991,18031103,18508570,18543976,19051026,19119861,20121150,20407074,20785210,20861973,21190103,21379011,21462560,21931431,22073255,22210284,23034471,23782402,23953750,24145380,24194770,24354951,24423916,24684531,24875855,24942252,25435295,25533391,25755072,25909282,26000691,26105596,26149305,26437747,26487906,26553095,27503266,27531843,27892592,28186611,28375564,28565362,28649587,28688759,28744500,28861612,28866527,28974456,29033724,29167143,29341295,29851026,29936524,30522354,30660800,30976869,31130125,31243714,31379166,31863714,32596263,33228776,33393651,33454972,33974860,34493400,35144167,35209554,35654343,35761731,35996255,36158903,36421811,36619971,36727143,36750562,36792960,36877225,37013260,37046002,37356150,37382373,37768210,38805075,38865543,39042431,39245824,39290380,39643699,39846560,40280071,40404095,40536520,40769832,40807660,40888131,41100531,41189746,41392080,42051095,42395399,42478791,43079359,43147295,43180303,43195506,43210354,43387666,43694855,44151552,44153434,44252670,44323199,44415912,44443042,44502825,44696643,44788895,44827380,45321852,45603585,45643911,45866061,45908711,45995957,46566090,46731724,46903911,47148456,47202848,47301799,47310659,47469680,47517695,47618311,47815872,48102106,48369543,48484914,48643824,48842728,48969192,49083151,49670496,49967901,50049463,50075194,50461314,50871111,51267682,51776754,52116711,52344082,52406855,52433826,52681750,52906067,52922860,53042013,53048643,53103204,53403390,53478359,53592911,53668851,53746674,53792856,53938444,53943839,54081843,54570455,54709523,54724302,54948069,55090341,55110455,55215591,55276879,55279208,55521503,55738687,55879308,55909804,56243751,56551731,56703847,56963616,57021234,57064551,57167043,57340403,57679143,57781491,58284345,59313831,59417495,59581036,59641271,59857591,59866792,60181474,60516963,60744082,60829843,60840771,61026695,61982380,62169968,62189109,62297445,62632655,62888226,62889562,63218100,63490060,63507432,63717619,64084068,64094146,64382631,64785543,65087884,65157551,65245747,65484546,65708510,65891571,66132546,66367295,66450608,67350141,67432640,67695171,68070562,68166274,68374039,68693811,68759116,68778034,69291843,69340354,69386125,69573991,69637666,69705724,69789543,69941214,70578319,70683891,71300994,71445861,73025932,73232034,73290322,74163625,74172082,74310695,74378856,74635251,74721196,74756934,74777260,75159186,75861720,75889655,76188072,76302951,76737271,76940495,77054920,77280711,77611066,78850212,78966970,79084456,79520451,79640754,80584834,80683971,80718839,80788954,80919168,81098962,81403564,81589557,81804994,82422771,82622159,82807703,83063794,83215295,83263350,83333842,83515319,83577651,83676213,83696242,83994562,84441543,84742636,84775895,84824871,84834103,85016391,85344435,85519939,85678159,85711581,85847385,86333255,86351554,86425127,86686785,86777260,86998546,87402291,88170623,88297612,88814240,88826631,88860563,88882402,88970013,88996350,89110851,89172834,89732712,90368639,90717351,91025170,91034064,91067586,91276163,91570544,91872562,92040844,92328594,92465904,92593111,92738145,93208210,93348231,93419554,93558095,93869300,93897139,94249714,94593682,94760364,94893623,94929440,94936371,95097095,95309043,95384947,95443162,95521714,95706899,96121295,96703143,96816994,96870739,97130425,97179706,97243660,97763287,97999431,98129074,98189266,98675495,98920688,99482380,99694655,99736882,99858354,99916020,99963287,...,1550329218993256103706604585584290841550273755801648297161383785344312889354400779721940768114763995495909788701939087595555462867694618414780004361575065316702283323912903843147711917621923875740033299721316935959453314369790977712947481314350742189642546520337614846549877894502466887107594413607901908933289743263899902452012065908238083519911350780072112396704435599480096348476827517080782318391871207973269531461532247575674321267239427829529988936732539781542660596350700773414433208504122149308002751641705482045557825464285741273839486710050753570934005384534563885515585755713435505564763092773655616981582918671581562194423775045739980921986727734321837260508666492819938541746325821940424950565659355433396809147016983259406212158134497831800977336770739500922533193792655682661503995742318665057047238140997096419564949215188289206924407262087939862362447182241754905077290340232857585144090281837354086238205644800881532040178220778816473508230063766323212762026557032871527709470475411252160446447400372589056012028844858156607539927281136379110747159003840918305653003229000826389867631267309162933374398372915516531126894318312597107351973071625415219950218761924837263263847113741357138750034245485290690133903268622533878597580588012917488225612427046946374821429758694007060646081851429638568298809596676188286060002104320056558878622824776580654346053377486178033094105145133141074779831319728295084025899872095741338544778718636381315161348551514852853017914791677414544961333390184477988681841111708991064654196640439232933149981426291751558787641207289754135389426418004579157642440631654140031238362949190428795945119065930870348785136090808006548336313730785067270043580844694076066286452636624977195768097706346455893615257152381792044474568964567844865889737624308830497889256900959254166222114063735509906609901555942314233994676992458015487406376414688393686652941119595314797717536903189364826974803564764938227549504836395810722322754215067792403472781019758961035094783760851458814559895201327296957704091902943406516303868050222224491942033203027917876596572823740962946709307603700631441603132511703669250027827055724104452891498351763063394793024242828102504625444825341192825883339320875453119912870044881043185472540478942833751787496228874406118266151321032351334948122239283710238550080412785188938456301905405755491262719760065647258476298510533965133889005983342431112742646938531461103648897913707415397984978548606173826855799806495354070058638546835936077135990486660356719369560253714289049219636234753310826474723506547709207019354904204928600250374868096274163362209597784136624392653770032106876840521398977123867161796218538692158455179416947907085924288352339513085019809416770216928181694113483337129017861990542120022136711683419607349295968230108610680683269588035576793503186764072087260385317376642558148143216266846790259636310695595147469483645188763257943612930347375957036338897385323228888691842348542126016309952414847624855027811677480081910743179742166391666048420052381414832312191874107}
19186  12329936215970443636317112825401605268517745918930808934005626883301778: {57549,95905,115086,440749,555553,899533,1456388,1646126,2041453,2155249,2606168,2836513,2931939,3139124,3289249,3291908,3524888,3702878,3930686,3965499,4303693,4528333,4665524,5088673,5231499,5981473,6227975,6277592,6537133,7062291,7201549,7312033,7377755,7473570,7643643,7708724,7860548,7971808,8006606,8303149,8315828,8619188,8741773,8853306,8968284,9025112,9099575,9712599,9982724,10153251,10250846,10539650,10593073,10623255,10919490,11025649,11133613,11331472,11398415,11494724,11647456,11994733,12637549,12647580,12747906,13103388,13145818,13154228,13490752,13678098,13697255,13703149,13756724,14233249,14871003,14916878,15177096,15415832,15707953,16225979,16283450,16326488,16436706,16911428,16960753,17074233,17342811,17376049,17703575,18367299,18779740,19519406,19540140,19581243,19843633,19902788,20047393,20350388,20388878,20499524,20842816,21244290,21393668,21648471,22069153,22336766,22535688,22660576,22684952,22869793,22969549,23139051,23179970,23413886,23448168,23623988,23843726,24406018,24487406,25093851,25352649,25401368,25493148,25520571,25537933,25557326,26379189,26828200,26836478,27049166,27209432,27480493,27686366,27762855,27815964,27898478,28249453,28345249,28505348,28576539,28956878,29075179,29204173,29241908,29613712,29678833,29868193,30181725,30529895,30610611,30712628,31177815,32110478,32193840,32319566,32473268,32631995,32912708,33256336,33315426,34052653,34326433,34340096,34417549,34667588,34781293,34865740,35231678,35317208,35324749,35415073,35469455,35673603,35685613,35930625,36077015,36218070,36292155,36635874,36672049,36709124,37413378,37420655,37472653,37582148,38003149,38115566,38326000,38525246,38632608,38711632,38794033,38863923,38889524,39158394,39342878,39665953,39731859,39801368,40272013,40565006,40616749,40696472,41254899,41302492,41535970,41818715,41838888,42186446,42468575,42484952,42563346,42737387,42829453,42848043,43116750,43292418,43461684,43550586,43584049,43597646,43917553,44415649,44498413,44524868,44776539,44904786,45240049,45783531,45991200,46266575,46382113,46597886,46865571,46946072,47068749,47194046,47539124,47682308,47795571,47989153,48068749,48148273,48369307,48544813,48826628,48969524,49057280,49112975,49645549,49723633,49808200,49843164,50112973,50182458,50547806,50670650,50962290,51009575,51330878,51740100,51820724,52111646,52383443,52411213,52814331,53269403,53536033,53833249,54276913,54359776,54398722,54517508,54800708,55125843,55189440,55374733,55519890,55569003,55592353,56034225,56313073,56638388,56652315,56813293,57521773,57594008,58144282,58414655,58501549,58868736,58935570,59003560,59221216,59224526,59337100,59595524,59769840,59808673,59876749,60429136,60736526,60804780,60849239,60858548,60889249,61053410,61113086,61154748,61211490,61289713,61461751,61621453,61784619,62051966,62088120,62214049,62538548,62613566,62864608,62948171,63124273,63253153,63754496,63893233,64492724,64646552,64661678,64777249,64793259,64815531,64858432,65081499,65292256,65708749,66153575,66227328,66230151,66259873,66379005,66563533,66623868,66664563,67241070,67281752,67423055,67463713,67523149,67582513,67828148,67982778,68000867,68523326,69035672,69043213,69099010,69198899,69215473,69251678,69488948,69849135,69887255,69911768,70097586,70347313,70403149,70722684,70731524,70804272,71012593,71204520,71558468,71662232,71723808,71829613,71905223,72109124,72153159,72312049,72630433,72679886,72727371,72858878,72965736,73037726,73264092,73363249,73415053,73453788,73620788,73621549,73672993,74335213,74476295,74505744,74818286,74833490,74991668,75084193,75112791,75330253,75349646,75402308,75691971,75865249,75951488,76028312,76086068,76222724,76901523,76905524,77002273,77041988,77111486,77477975,77665131,77712460,78008113,78516123,78586093,78650739,78858926,79022625,79085108,79362575,79384290,79654806,80105085,80123149,80124226,80533549,80620011,80689284,80907666,80936749,80976673,81096013,81121028,81359855,81624878,82086453,82291249,82918812,83063260,83417293,83592433,83818962,83850968,83864706,84290800,84539953,84572749,84676576,84861566,84864673,85024333,85087693,85213549,85445424,85523149,85531851,85705453,85843508,85948895,86380724,86521933,86550049,86555602,86689549,86711678,87132155,87312728,87590413,87765553,87855428,88009633,88081453,88176728,88453549,88785649,88871473,89183053,89206478,89371554,89516593,89703073,89775649,89800188,89847073,89866286,90186913,90260228,90272211,90346033,90571213,90712333,90851678,90985249,91033633,91092493,91116123,91226413,91282415,91320049,91472113,91590049,91591748,91628749,91831886,91912753,91995373,92001313,92009773,92016433,92389124,92973570,93052724,93130766,93254952,93291359,93401495,93471575,94245188,94332339,94334343,94827150,94901678,95067992,95235090,95261148,95860286,96126102,96141219,96241243,96318650,96728506,97130366,97631826,97642712,98226819,98562765,98855570,99171808,99198819,99486563,99513668,99675912,...,2067105625324341471608806114112387788733698341068864396215178380459083852472534372962587690819685327327879718269252116794073950490259491219706672482100087088936377765217205124196949223495898500986711066295089247945937752493054636950596641752467656252856728693783486462066503859336622516143459218143869211911052991018533203269349421210984111359881801040096149862272580799306795131302436689441043091189161610631026041948709663434232428356319237106039985248976719708723547461800934364552577611338829532410670335522273976060743767285714321698452648946734338094578673846046085180687447674284580674086350790364874155975443891562108749592565033394319974562648970312429116347344888657093251388995101095920566600754212473911195745529355977679208282877512663775734636449027652667896710925056874243548671994323091553409396317521329461892753265620251052275899209682783919816483262909655673206769720453643810113525453709116472114984274193067842042720237627705088631344306751688430950349368742710495370279293967215002880595263200496785408016038459810875476719903041515172147662878671787891074204004305334435186490175023078883911165864497220688708169192424416796143135964095500553626600291682566449684351796151655142851666712327313720920178537691496711838130107450683889984300816569395928499761906344925342747528109135239518091065079462234917714746669472426742078504830433035440872461404503314904044125473526844188099706441759637726778701199829460988451393038291515175086881798068686470470690553055569886059948444520245970651575788148945321419538928853918977244199975235055668745050188276386338847185901890672772210189920842205520041651150598920571727926825421241160465046848121077342064448418307713423026724774459592101421715270182166636261024130275128607858153676203175722725966091952757126487852983499078440663852342534612338888296152084980679875479868741256418978659569323277353983208501886251191582203921492793753063623382537585819769299738086353250970066006448527747629763672286757056537963708026345281380126378347801945086079860268436395943605455870591208688405157400296299322589377604037223835462097098321283928945743471600841922137510015604892333370436074298805937188664469017417859724032323770803339500593100454923767844452427833937493217160059841390913963387305257111669049994971832541491021535094709801779930829652378280318066773883713585251275069207207673988350293013420863011301731347378620178518674644456574816990195918041948138198530551609887197313304731474898435807733075327138760078184729114581436181320648880475625826080338285718732292848313004414435299631342063612276025806538939904800333833157461698884482946130378848832523538360042809169120695198636165156215728291384922877940239222597209447899051136452684113359745889026955904242258817977782838690482654056160029515615577892809799061290973478147574244359450714102391337582352096116347180423168856744197524288355795720346181747594126863292644860251684343924817240463167942715118529847097638518255789798056168021746603219796833140037082236640109214324239656221855554731226736508553109749589165476}
19187  12378800984479991402007352885703574910821134249623988513524481917212662: {76732,153448,172629,1820485,2184582,2280397,2469189,2740309,3084277,3257710,3909252,3923905,4003813,4114885,4233697,4406110,4637446,4708686,4937862,5287332,5492893,5554317,5831905,5896029,6975332,6998286,7164718,7789573,7846990,7896973,9416388,9436513,9635905,9825685,9915038,9964760,10086253,10125589,10191524,10394785,10545589,10773985,11210355,11281390,11563086,11790822,11804408,11957712,12009909,12473742,12478405,12928782,12950132,13174369,13279959,13452426,13488853,13537668,14164340,14285677,14368405,14559320,14974086,15376269,15427646,15809475,16379235,16442785,16863440,16997208,17075053,17195905,17242086,17471184,18237464,18686173,18871054,18910669,18971370,19121859,19269790,19655082,19718727,19731342,19828004,19849333,20236128,20249062,20357293,20408110,20516833,20517147,20635086,21139285,21609709,21915608,22226197,22295086,22375317,22444213,22765644,23123748,23474675,23808253,24425175,24489732,24655059,24878485,25042849,25367142,25437985,25624405,25911998,26053520,26108324,26742085,26931757,28169610,28325720,28356190,28864628,28869553,29099294,29107573,29279109,29310210,29529985,29854182,30047584,30525582,30555358,30583317,30749286,30852068,30902557,31264224,31451377,31751710,31866435,32090502,32262589,32741473,33458468,33505149,33535250,33803532,33872678,33904897,33990864,34011790,34027428,34090309,34769955,34826197,34919533,35120829,35172252,35435982,35609413,35631685,35765589,36062206,36425629,36552385,36609027,36731109,37017140,37087952,37174333,38102052,38239722,38335989,38390785,39300133,40242300,40254717,40573749,40591585,40814148,41077813,41127493,41140885,41529549,41570420,41723946,41847717,42380206,42733249,42758022,42925120,43334485,43435317,43582175,43709989,43862862,44146510,44420568,44970253,45886405,46068942,46171453,46977685,47383093,47545717,47564804,47727493,47907500,48165717,48290760,48389540,48479349,48611905,48709902,48847832,49074829,49217089,49369062,49513549,49537693,49751710,49884504,49973139,50120533,50394757,50745697,50870590,51066782,51510144,51628115,51818564,52001382,52211192,52298610,52410013,52847517,52875494,52911613,52975812,53106190,53484013,53598529,54327105,54699493,54715309,54953811,55006532,55063686,55607077,55656085,55785184,55912597,56120067,56373222,56565733,56751128,57085489,57130724,57173349,57299174,57377518,57489000,57585253,57723224,57733054,57787869,57948912,58067448,58229869,58334286,58682590,58737591,58871533,59014317,59115253,59423905,59602885,59702052,59873048,60060877,60290173,60406213,60847509,61033285,61044708,61172797,61211905,61321600,61624813,61663009,61953738,62260250,62303955,62487428,62704453,62758332,63201697,63279669,63540577,63633253,63720613,63727428,63845019,64656709,64675125,64775905,64938627,65192526,65325879,65396469,65761333,66032149,66379189,66457552,66524773,66787302,66909944,67357179,67949720,68005933,68146885,68500885,68986800,69836173,69896829,70091173,70288334,70419108,70791069,70797985,71234749,71308686,71523462,71828077,71992510,72317806,72843622,73239942,73369597,73454286,73501124,73585920,73754450,74026520,74092004,74171375,74494405,74712300,74764746,75273687,75536420,75821709,76005975,76073185,76398637,76443435,76996317,77148709,77154637,77610150,77731086,78084862,78167469,78173185,78364693,78491648,78580760,79174909,79287398,79593697,79690333,79693120,80389573,80560142,80615905,80727373,80808190,81073040,81539664,81598083,81615320,81776262,82137889,82201062,82379492,82630897,82784160,83184493,83279835,83348389,83805349,84102190,84785185,84790798,84957582,85076353,85437373,86158718,86294590,86360606,86391012,86420708,86451013,86511553,86775332,86861185,87067693,87216423,87389710,87589237,87685717,88303104,88306868,88403355,88414405,88505340,88646398,88831824,88836789,88886084,89005650,89272909,89393286,89448085,89577790,89654760,90136405,90215173,90643704,91104789,91207170,91287822,91580115,91669629,91732122,91817235,91817422,91991914,92025985,92158117,92342413,92471629,92914213,93077949,93132180,93463448,93739585,93807822,93920349,94100413,94252885,94296912,94405696,94603598,94621318,94939360,95035390,95107585,95236622,95278405,95305309,95631744,96131905,96204212,96302485,96376897,96592789,96739086,96969828,96992517,97140575,97287648,97495813,97685456,97863649,97869217,97938384,98166302,98519989,98856385,99340992,99707533,99935802,...,3100658437986512207413209171168581683100547511603296594322767570688625778708801559443881536229527990991819577403878175191110925735389236829560008723150130633404566647825807686295423835243847751480066599442633871918906628739581955425894962628701484379285093040675229693099755789004933774215188827215803817866579486527799804904024131816476167039822701560144224793408871198960192696953655034161564636783742415946539062923064495151348642534478855659059977873465079563085321192701401546828866417008244298616005503283410964091115650928571482547678973420101507141868010769069127771031171511426871011129526185547311233963165837343163124388847550091479961843973455468643674521017332985639877083492651643880849901131318710866793618294033966518812424316268995663601954673541479001845066387585311365323007991484637330114094476281994192839129898430376578413848814524175879724724894364483509810154580680465715170288180563674708172476411289601763064080356441557632947016460127532646425524053114065743055418940950822504320892894800745178112024057689716313215079854562272758221494318007681836611306006458001652779735262534618325866748796745831033062253788636625194214703946143250830439900437523849674526527694227482714277500068490970581380267806537245067757195161176025834976451224854093892749642859517388014121292163702859277136597619193352376572120004208640113117757245649553161308692106754972356066188210290266282149559662639456590168051799744191482677089557437272762630322697103029705706035829583354829089922666780368955977363682223417982129308393280878465866299962852583503117575282414579508270778852836009158315284881263308280062476725898380857591890238131861740697570272181616013096672627461570134540087161689388152132572905273249954391536195412692911787230514304763584088949137929135689731779475248617660995778513801918508332444228127471019813219803111884628467989353984916030974812752829376787373305882239190629595435073806378729653949607129529876455099009672791621444645508430135584806945562039517922070189567521702917629119790402654593915408183805886813032607736100444448983884066406055835753193145647481925893418615207401262883206265023407338500055654111448208905782996703526126789586048485656205009250889650682385651766678641750906239825740089762086370945080957885667503574992457748812236532302642064702669896244478567420477100160825570377876912603810811510982525439520131294516952597021067930267778011966684862225485293877062922207297795827414830795969957097212347653711599612990708140117277093671872154271980973320713438739120507428578098439272469506621652949447013095418414038709808409857200500749736192548326724419195568273248785307540064213753681042797954247734323592437077384316910358833895814171848576704679026170039618833540433856363388226966674258035723981084240044273423366839214698591936460217221361366539176071153587006373528144174520770634753285116296286432533693580519272621391190294938967290377526515887225860694751914072677794770646457777383684697084252032619904829695249710055623354960163821486359484332783332096840104762829664624383748214}
19188  12427858020777536910412937851001475446557031539870632370650235856159446: {95915,115098,134267,191810,230172,593867,881498,899627,1111106,1281107,1799066,1927787,2041667,2079611,2609987,2874587,2912776,2987867,3276873,3292252,3402611,4082906,4310498,4341611,4566227,4886565,5089211,5126507,5212336,5238347,5673026,5863878,6278248,6574811,6578498,6583816,6609165,6956169,7049776,7063029,7405756,7406793,7533587,7861372,7930998,8084267,8230811,8560067,8607386,8719165,9056666,9107387,9331048,9507611,10177346,10328857,10462998,10497429,10630307,10747077,11170787,11770485,11962946,11996027,12455950,12555184,12739405,13074266,13421147,14022947,14124582,14403098,14481587,14624066,14755510,14868611,14872557,14947140,15079307,15287286,15417448,15721096,15744611,15943616,15957781,16013212,16058747,16128467,16187665,16232987,16606298,16631656,16789211,16922085,17101187,17238376,17344629,17483546,17686233,17688707,17705425,17706612,17792147,17936568,18050224,18136427,18199150,18514211,18710613,18856811,19176157,19232747,19369211,19393173,19425198,19743827,19965448,20178639,20306502,20388611,20501692,21079300,21186146,21246510,21602387,21838980,21870707,22051298,22071611,22105067,22267226,22405811,22461129,22572611,22662944,22796830,22872347,22905611,22989448,23141469,23204627,23294912,23370467,23989466,24262547,24591467,24785005,24886811,25275098,25295160,25344947,25495812,25540811,25736387,25863129,25866611,26206776,26224067,26291636,26308456,26981504,27032867,27356196,27394510,27406298,27513448,27804611,28252667,28284611,28306581,28444211,28457055,28466498,28730987,28904685,29239211,29482623,29597013,29682227,29713811,29742006,29833756,30060707,30354192,30373593,30612165,30831664,30952629,31095587,31313987,31415906,31469747,32028827,32245547,32338307,32400107,32451958,32566900,32635405,32652976,32677811,32873412,33323267,33442629,33598811,33822856,33921506,34056611,34148466,34330427,34360811,34685622,34752098,34815611,35407150,35599667,35719811,36049547,36080785,36497627,36734598,36795347,37477067,37559480,38050713,38125187,38359907,38565085,38652587,38867997,38973611,39038812,39080280,39162486,39670667,39687266,39805576,39959747,40094786,40700776,40777756,40879427,40965227,40999048,41136611,41685632,41823085,42158867,42254415,42271811,42488580,42525467,42534285,42741853,42787336,43296942,43422107,43648941,43950611,43965315,44138306,44614067,44669147,44673532,44781273,45071376,45081227,45321152,45369904,45436907,45573347,45684793,45739586,45788373,45833037,45939098,46123929,46144211,46271425,46278102,46359940,46827772,46896336,47060987,47247976,47627565,47687452,47755811,47995067,48135753,48180707,48550811,48577187,48812036,48974812,49207811,49364747,49657237,50119211,50145107,50187702,50302875,50507821,50705298,50802736,50809017,50918267,50986296,50995187,51017685,51041142,51075866,51114652,51378707,51531611,51811187,51963025,52388917,52417811,52442987,52518467,52758378,52794611,53153973,53319107,53567627,53656400,53672956,54093309,54098332,54283811,54382067,54418864,54431147,54960986,55114907,55236347,55372732,55381811,55406027,55478627,55525710,55623611,55631928,55796956,55888667,56200667,56498906,56558987,56690498,57010696,57033947,57153078,57199427,57359583,57623147,57913756,58020947,58150358,58408346,58439627,58483816,58546201,59227424,59357666,59406467,59456005,59497811,59736386,59748347,59816507,59839211,59884375,59952611,60156227,60363450,60486925,60628811,60763187,61053347,61059790,61221222,61297811,61319987,61386467,61425256,61981547,62156747,62355630,62483867,62585919,62954749,63154211,63283067,63390227,63570309,63582611,63986627,64137033,64220956,64387680,64408787,64618667,64639132,64773205,64946536,64973627,65160611,65263990,65284907,65491427,65553227,65594387,65656067,65794293,65825416,66219765,66289211,66512672,66592811,66630852,66713747,66774107,67074827,67472987,67492811,67611587,68007973,68105306,68590187,68652866,68680192,68758165,68835098,68937587,69052811,69071987,69103413,69335176,69562586,69643547,69731480,70357187,70463356,70634416,70635707,70649498,70830146,70938910,71040947,71296811,71347206,71371226,71413405,71677667,71857787,71861250,71911667,71912737,72154030,72436140,72552611,72584310,72640811,73064853,73271748,73344098,73418248,73442867,73683611,74007827,74053593,74295467,74393293,74446811,74513867,74627565,74714267,74764187,74826756,74841310,74945306,75095147,75111611,75164296,75292187,75341267,75439211,75844211,76000969,76006298,76020827,76231132,76305885,76497587,76600173,76652000,76795811,76889387,76967147,77050492,77168387,77265216,77423264,77582027,77588066,77703467,77727846,77779048,77809307,78002073,78019811,78034787,78079667,78109285,78109547,78243611,78316788,78377027,78447915,78685756,78685811,79206947,79313241,79331906,79335611,79392587,79463718,79602736,79605107,79659285,79689611,79759811,80190587,80364661,80544026,80667707,80721611,80842427,80989211,81002507,81042347,81130012,81187811,81233498,81392944,81579611,81631307,81708611,81772811,81780517,81824027,82153811,82416227,82509798,82595529,82604984,82650611,82760627,82784987,82894211,82942547,83071940,83074811,83194211,83442347,83617427,83637430,83675387,83677776,83721611,83882387,84120611,84372892,84465827,84559833,84781811,84824867,84846347,84937150,84969904,85038227,85048811,85112147,85126692,85196147,85269227,85455347,85474774,85516811,85658906,85669211,85696086,85719611,85948761,86066277,86076587,86202947,86233500,86347067,86404211,86451611,86536427,86584836,86599581,86878307,86923368,87004811,87101172,87168098,87195292,87279347,87478067,87501429,87605387,87613811,87655811,87689267,87835106,88023885,88032827,88222811,88339211,88423427,88453811,88521707,88611227,88786811,88831298,88996826,89049736,89062307,89096747,89178587,89265947,89299187,89338811,89538947,89553078,89557907,89626811,89719211,89809572,89815787,89863307,89991347,90126611,90187067,90362627,90444611,90480098,90592811,90850187,90893507,90927587,91018667,91054811,91113611,91225811,91300067,91350947,91444211,91462667,91516307,91544987,91567062,91602611,91618427,91700267,91704947,91725611,91747811,91809611,91826747,91848587,91874267,91876405,91905707,91918811,91931267,91946867,91978787,91982400,91984811,91995107,91997747,92006027,92014211,92014907,92020811,92028707,92034227,92037947,92041811,92044787,92533150,92615005,92764226,92930607,93195772,93390375,93731142,93892144,94137498,94388092,94392277,94420525,95078248,95364616,95591142,95978306,96137498,96296546,96738614,97089626,97653256,97788789,97842157,97939048,98114560,98225950,99291098,99447266,99616400,99686328,...,4650987656979768311119813756752872524650821267404944891484151356032938668063202339165822304344291986487729366105817262786666388603083855244340013084725195950106849971738711529443135752865771627220099899163950807878359943109372933138842443943052226568927639561012844539649633683507400661322783240823705726799869229791699707356036197724714250559734052340216337190113306798440289045430482551242346955175613623919808594384596742727022963801718283488589966810197619344627981789052102320243299625512366447924008254925116446136673476392857223821518460130152260712802016153603691656546757267140306516694289278320966850944748756014744686583271325137219942765960183202965511781525999478459815625238977465821274851696978066300190427441050949778218636474403493495402932010312218502767599581377967047984511987226955995171141714422991289258694847645564867620773221786263819587087341546725264715231871020698572755432270845512062258714616934402644596120534662336449420524690191298969638286079671098614583128411426233756481339342201117767168036086534574469822619781843409137332241477011522754916959009687002479169602893801927488800123195118746549593380682954937791322055919214876245659850656285774511789791541341224071416250102736455872070401709805867601635792741764038752464676837281140839124464289276082021181938245554288915704896428790028564858180006312960169676635868474329741963038160132458534099282315435399423224339493959184885252077699616287224015634336155909143945484045654544558559053744375032243634884000170553433966045523335126973193962589921317698799449944278875254676362923621869262406168279254013737472927321894962420093715088847571286387835357197792611046355408272424019645008941192355201810130742534082228198859357909874931587304293119039367680845771457145376133423706893703534597669212872926491493667770702877762498666342191206529719829704667826942701984030977374046462219129244065181059958823358785944393152610709568094480924410694294814682648514509187432166968262645203377210418343059276883105284351282554376443679685603981890873112275708830219548911604150666673475826099609083753629789718471222888840127922811101894324809397535111007750083481167172313358674495055289190184379072728484307513876334476023578477650017962626359359738610134643129556417621436828501255362488686623218354798453963097054004844366717851130715650241238355566815368905716217266473788159280196941775428895531601895401667017950027293338227940815594383310946693741122246193954935645818521480567399419486062210175915640507808231407971459981070158108680761142867147658908704259932479424170519643127621058064712614785800751124604288822490086628793352409873177961310096320630521564196931371601485388655616076475365538250843721257772865057018539255059428250310650784545082340450011387053585971626360066410135050258822047887904690325832042049808764106730380509560292216261781155952129927674444429648800540370778908932086785442408450935566289773830838791042127871109016692155969686666075527045626378048929857244542874565083435032440245732229539226499174998145260157144244496936575622321}
19189  12477108075949265078367188477492400583537245468611588732436138972704820: {153464,172647,287715,306896,345258,1322247,1666659,2548679,2698599,3238547,3640970,4115315,4369164,4560794,4731779,4938378,5480618,5493467,5760839,6124359,6168554,6465747,6515420,7790387,7818504,7847810,8007626,8164667,8229770,8467394,8509539,8795817,8812220,9205859,9257195,9274892,9417372,9826715,9867747,9875724,10087307,10546691,10574664,10985786,11108634,11272871,11663810,11792058,11896497,12911079,13490267,13584999,13755959,13950664,13996572,14329436,14552699,15083579,15266019,15579146,15693980,15694497,15793946,17469767,17944419,18683925,18832776,18873026,19271810,19611399,19651370,19830076,19929520,20016515,20115767,20172506,20251178,20359427,20383048,20789570,21091178,21186873,21547970,21604647,21931787,21936099,22083659,22133265,22420710,22562780,22863731,22930929,23019899,23126172,23581644,23608816,23915424,24019818,24058619,24074267,24909447,24947484,24956810,25538747,25627115,25857564,25900264,26225319,26348738,26349125,26524979,26559918,26614247,26904852,26977706,27075336,27298725,28328680,28571354,28736810,29118640,29137797,29594999,29948172,30100199,30459753,30752538,30855292,31618950,31779219,31869765,32265971,32758470,32864545,32885570,33076947,33389819,33400839,33726880,33994416,34150106,34195245,34391810,34399859,34484172,34681079,34829879,34942368,35151539,35613179,35874167,35984199,36474928,36593411,37292195,37372346,37438919,37742108,37821338,37912647,37942740,38243718,38539580,39310164,39437454,39462684,39656008,39698666,40288547,40407179,40472256,40498124,40708625,40714586,40816220,41033666,41034294,41091765,41109447,41268539,41270172,41341979,41545031,42010487,42278570,42542939,42699747,43219418,43714571,43831216,44452394,44590172,44613009,44750634,44888426,45531288,46247496,46724471,46949350,47123859,47616506,47736587,48423719,48605219,48677937,48798515,48850350,48979464,49310118,49756970,49884359,50085698,50125787,50260871,50734284,50875970,50882259,50972195,51173339,51222699,51248810,51532379,51823996,52028433,52107040,52128147,52216648,52415507,52611371,52673939,53110725,53484170,53747099,53863514,54705227,54966599,55101897,55750379,55841915,56339220,56405219,56651440,56712380,56715779,56828219,57597239,57729256,57739106,57949925,58198588,58215146,58534715,58558218,58560899,58620420,58743729,59059970,59530899,59609315,59708364,59870147,60095168,60142179,60220211,60668279,61015045,61051164,61110716,61166634,61218515,61498572,61704136,61764491,61805114,62270099,62528448,62902754,63192167,63208379,63503420,63732870,63893315,64181004,64185659,64240967,64525178,64663547,64945413,65425739,65482946,65768759,66207459,66916936,67010298,67070500,67091195,67607064,67622915,67714019,67745356,67809794,67981728,68023580,68054856,68055299,68056667,68180618,68609379,68629331,68641499,68874791,68908647,69215915,69417153,69539910,69652394,69746195,69839066,70241658,70344504,70871964,71015939,71193587,71218826,71263370,71531178,72124412,72279361,72392195,72851258,73104770,73218054,73462218,74034280,74175904,74348666,74925047,75281553,75306179,75765827,76006631,76057947,76204104,76479444,76561713,76613799,76671978,76781570,77717939,77918519,78600266,79137567,80276195,80278439,80484600,80509434,80798915,81147498,81183170,81628296,82155626,82254986,82281770,82441479,82533659,83059098,83140840,83193467,83240411,83288565,83444039,83447892,83695434,84221147,84748359,84760412,85035747,85446599,85466498,85516044,85696667,85729617,85850240,86668970,86863667,86870634,87164350,87225537,87419978,87612519,87725724,87802571,88079195,88293020,88796711,88841136,89036499,89226419,89604579,89940506,90224711,90545175,90625607,90686267,91175747,91589685,91772810,91831833,92137884,92342906,92352179,92477867,92612819,93533445,93570347,93955370,94766186,95005859,95091434,95129608,95288915,95405639,95454986,95815000,95901239,96313115,96331434,96581520,96779080,96958698,97223810,97310951,97419804,97695664,97783859,97895985,98149658,98357195,98434178,98738124,99027098,99075386,99117179,99503420,99620771,99769008,99946278,...,6201316875973024414826418342337163366201095023206593188645535141377251557417603118887763072459055981983639154807756350382221851470778473659120017446300261266809133295651615372590847670487695502960133198885267743837813257479163910851789925257402968758570186081350459386199511578009867548430377654431607635733158973055599609808048263632952334079645403120288449586817742397920385393907310068323129273567484831893078125846128990302697285068957711318119955746930159126170642385402803093657732834016488597232011006566821928182231301857142965095357946840203014283736021538138255542062343022853742022259052371094622467926331674686326248777695100182959923687946910937287349042034665971279754166985303287761699802262637421733587236588067933037624848632537991327203909347082958003690132775170622730646015982969274660228188952563988385678259796860753156827697629048351759449449788728967019620309161360931430340576361127349416344952822579203526128160712883115265894032920255065292851048106228131486110837881901645008641785789601490356224048115379432626430159709124545516442988636015363673222612012916003305559470525069236651733497593491662066124507577273250388429407892286501660879800875047699349053055388454965428555000136981941162760535613074490135514390322352051669952902449708187785499285719034776028242584327405718554273195238386704753144240008417280226235514491299106322617384213509944712132376420580532564299119325278913180336103599488382965354179114874545525260645394206059411412071659166709658179845333560737911954727364446835964258616786561756931732599925705167006235150564829159016541557705672018316630569762526616560124953451796761715183780476263723481395140544363232026193345254923140269080174323378776304265145810546499908783072390825385823574461028609527168177898275858271379463558950497235321991557027603837016664888456254942039626439606223769256935978707969832061949625505658753574746611764478381259190870147612757459307899214259059752910198019345583242889291016860271169613891124079035844140379135043405835258239580805309187830816367611773626065215472200888897967768132812111671506386291294963851786837230414802525766412530046814677000111308222896417811565993407052253579172096971312410018501779301364771303533357283501812479651480179524172741890161915771335007149984915497624473064605284129405339792488957134840954200321651140755753825207621623021965050879040262589033905194042135860535556023933369724450970587754125844414595591654829661591939914194424695307423199225981416280234554187343744308543961946641426877478241014857156196878544939013243305898894026190836828077419616819714401001499472385096653448838391136546497570615080128427507362085595908495468647184874154768633820717667791628343697153409358052340079237667080867712726776453933348516071447962168480088546846733678429397183872920434442722733078352142307174012747056288349041541269506570232592572865067387161038545242782380589877934580755053031774451721389503828145355589541292915554767369394168504065239809659390499420111246709920327642972718968665566664193680209525659329248767496428}
19190  12526551903994375027731473405632023611719247610531429156824508061036430: {134281,191830,230196,268534,383620,460344,517887,1187734,1762996,1799254,1965961,2079829,2222212,2562214,2648089,3440629,3598132,3855574,4004569,4083334,4159222,5127049,5219974,5238901,5461455,5749174,5825552,5975734,6242329,6553746,6584504,6805222,6841191,7407567,7460821,8121781,8144275,8165812,8220927,8620996,8683222,9132454,9252831,9326809,9773130,10178422,10253014,10424672,10476694,11015275,11279881,11346052,11593615,11727756,11771715,12011439,12206831,12344655,12461941,12556496,12701091,13103029,13149622,13156996,13167632,13218330,13528981,13635289,13847689,13912338,13953781,14099552,14126058,14811512,14813586,14905369,15067174,15116041,15722744,15861996,16060501,16165081,16168534,16461622,16478679,16662951,17103061,17120134,17214772,17438330,17495715,17621641,17688087,17835167,17911795,18035209,18113332,18214774,18344629,18550549,18662096,19015222,19269001,19371349,19617475,19780021,20354692,20390869,20657714,20925996,20994858,21260614,21494154,21604789,21806101,22107529,22341574,22662731,22908169,23368719,23540970,23690919,23704201,23925892,23992054,24787595,24889609,24911900,25110368,25380469,25478810,25497967,25771861,26148532,26259481,26842294,27035929,27615241,28045894,28203475,28249164,28287829,28309539,28479349,28806196,28907715,28963174,29248132,29477055,29511020,29622421,29717209,29737222,29745114,29894280,30095641,30158614,30258759,30376767,30378709,30472921,30574572,30661129,30834896,31130389,31184355,31317589,31442192,31489222,31636767,31784329,31887232,31915562,32026424,32117494,32256934,32321955,32375330,32434741,32465974,33212596,33263312,33357781,33578422,33631065,33633289,33844170,34182361,34202374,34364809,34476752,34689258,34699007,34967092,35182261,35372466,35377414,35410850,35413224,35584294,35633881,35873136,36029727,36083701,36100448,36272854,36398300,36442261,36531721,36799669,37028422,37066969,37421226,37422361,37435215,37713622,38352314,38393749,38465494,38569115,38657161,38738422,38786346,38850396,39007369,39487654,39523107,39530521,39839877,39930896,40357278,40466559,40613004,40777222,41003384,42158600,42276889,42372292,42493020,42530581,42857031,43105215,43204774,43371541,43677960,43741414,44102596,44122249,44143222,44210134,44534452,44702101,44811622,44922258,45145222,45325888,45593660,45689567,45744694,45811222,45978896,46128807,46282938,46409254,46582489,46589824,46663381,46740934,47177635,47428425,47468341,47978932,48174475,48525094,48583189,49137705,49182934,49213909,49328355,49570010,49605769,49773622,50151349,50513099,50550196,50590320,50622655,50689894,50991624,51020275,51081622,51225159,51385141,51472774,51587715,51726258,51733222,51843061,52071049,52413552,52448134,52449589,52583272,52600501,52616912,52826329,53350741,53963008,53991119,54065734,54388981,54462601,54712392,54789020,54812596,55026896,55048969,55267669,55413109,55485721,55609222,55737715,55775449,55919881,56058519,56207881,56494729,56505334,56569222,56613162,56732007,56888422,56914110,56932996,57277621,57365577,57461974,57771289,57809370,58478422,58552319,58965246,59156181,59194026,59364454,59368501,59427622,59484012,59547999,59667512,59847049,59983129,60121414,60708384,60747186,60793561,61071879,61224330,61328089,61550499,61551441,61663328,61858009,61905258,62186869,62191174,62513929,62627974,62709301,62831812,62939494,63417855,63420121,63612469,64057654,64438489,64491094,64676614,64690201,64779995,64800214,64829127,64903916,65133800,65270810,65305952,65314441,65355622,65746824,66176281,66646534,66678591,66722869,66885258,67084021,67125951,67158751,67197622,67332639,67502089,67645712,67680181,67843012,68113222,68296932,68386069,68660854,68677129,68721622,68908681,68966389,69081589,69371244,69504196,69631222,70105429,70424025,70664149,70814300,70885621,70890475,71199334,71424759,71439622,71921881,72029449,72099094,72161570,72562969,72748235,72984601,72995254,73275525,73469196,73590694,73965177,74401067,74635455,74725129,74954134,75118960,75122569,75128547,75319561,75466549,75758581,75807001,76008911,76101426,76250374,76287241,76313955,76388395,76524661,76719814,76873215,77130170,77272309,77305174,77502169,77593609,77735994,77947222,78046489,78077624,78160560,78270229,78324972,78580441,79190281,79341334,79374532,79379275,79447321,79611152,79786009,79919494,80189572,80226255,80373059,80612569,80653141,80795271,81015049,81213589,81401552,81449461,81555512,81605269,81644041,81758854,81930454,81998096,82027801,82179289,82273222,82292149,82316839,82810261,82919449,82955701,83135881,83238407,83314261,83371264,83525941,83560969,83646170,83700361,83838125,83872981,84145429,84317734,84508830,84543622,84681695,84977160,85029475,85050934,85062709,85068570,85469401,85483706,85574672,86418649,86503861,86593884,86608659,86844214,87028489,87108949,87294169,87297882,87322719,87501529,87628789,87837327,87901222,87930630,87975541,88095961,88238089,88276612,88423561,88469209,88559641,88589955,88671061,89098741,89119369,89228134,89301781,89338294,89347064,89361289,89497621,89562546,89573941,89704729,89819327,90142752,90155515,90162454,90208981,90353161,90461269,90521461,90642304,90681049,90682487,90739808,90778069,90791641,90873814,90923401,90948889,90999001,91119241,91146694,91221301,91243189,91286101,91317529,91327861,91368469,91369586,91464949,91479172,91562761,91576746,91612441,91666074,91725301,91749951,91765909,91810009,91866889,91878196,91892629,91938709,91966681,91987849,92027161,92033749,92056969,92061721,92247858,92288422,92542850,92556204,92707671,92719880,93655544,93792672,94029907,94121974,94354131,94495952,95255130,95374904,95511622,95599305,95990134,96261431,96271506,96361414,96787767,97101622,97154374,97624072,97949624,98224419,98415622,98729494,99314474,99978767,...,9301975313959536622239627513505745049301642534809889782968302712065877336126404678331644608688583972975458732211634525573332777206167710488680026169450391900213699943477423058886271505731543254440199798327901615756719886218745866277684887886104453137855279122025689079299267367014801322645566481647411453599738459583399414712072395449428501119468104680432674380226613596880578090860965102484693910351227247839617188769193485454045927603436566977179933620395238689255963578104204640486599251024732895848016509850232892273346952785714447643036920260304521425604032307207383313093514534280613033388578556641933701889497512029489373166542650274439885531920366405931023563051998956919631250477954931642549703393956132600380854882101899556437272948806986990805864020624437005535199162755934095969023974453911990342283428845982578517389695291129735241546443572527639174174683093450529430463742041397145510864541691024124517429233868805289192241069324672898841049380382597939276572159342197229166256822852467512962678684402235534336072173069148939645239563686818274664482954023045509833918019374004958339205787603854977600246390237493099186761365909875582644111838429752491319701312571549023579583082682448142832500205472911744140803419611735203271585483528077504929353674562281678248928578552164042363876491108577831409792857580057129716360012625920339353271736948659483926076320264917068198564630870798846448678987918369770504155399232574448031268672311818287890968091309089117118107488750064487269768000341106867932091046670253946387925179842635397598899888557750509352725847243738524812336558508027474945854643789924840187430177695142572775670714395585222092710816544848039290017882384710403620261485068164456397718715819749863174608586238078735361691542914290752266847413787407069195338425745852982987335541405755524997332684382413059439659409335653885403968061954748092924438258488130362119917646717571888786305221419136188961848821388589629365297029018374864333936525290406754420836686118553766210568702565108752887359371207963781746224551417660439097823208301333346951652199218167507259579436942445777680255845622203788649618795070222015500166962334344626717348990110578380368758145456968615027752668952047156955300035925252718719477220269286259112835242873657002510724977373246436709596907926194108009688733435702261431300482476711133630737811432434532947576318560393883550857791063203790803334035900054586676455881631188766621893387482244492387909871291637042961134798838972124420351831281015616462815942919962140316217361522285734295317817408519864958848341039286255242116129425229571601502249208577644980173257586704819746355922620192641261043128393862743202970777311232152950731076501687442515545730114037078510118856500621301569090164680900022774107171943252720132820270100517644095775809380651664084099617528213460761019120584432523562311904259855348888859297601080741557817864173570884816901871132579547661677582084255742218033384311939373332151054091252756097859714489085749130166870064880491464459078452998349996290520314288488993873151244642}
19191  12576190261836296709724625206211465637658733849175235880262966277047515: {287745,306928,345294,402801,479525,575430,613792,690516,1781601,2203745,2644494,2698881,2777765,3333318,3583481,3843321,4497665,4846721,5097358,5397198,5536373,5761441,5783361,6125001,6238833,6477094,7281940,7829961,8230630,8623761,8631689,8738328,8963601,9121588,9206821,9463558,9830619,9876756,10207265,10207833,10776245,10961236,10986934,11274049,11521678,12248718,12337108,12409529,12765713,12931494,12960073,13024833,13030840,13698681,13757401,14182565,14659695,15267633,15379521,15580774,15637008,15695620,15715041,16015252,16329334,16446245,16459540,16934788,17019078,17228021,17591634,17624440,18411718,18514390,18549784,18834744,19653430,19724433,19735494,19751448,19827495,20174614,20669801,20868507,21093382,21149328,21189087,21196769,21518465,21971572,22217268,22220379,22448921,22545742,22600761,22641665,22734869,23327620,23584116,23792994,24061141,24252801,24692433,25443365,25680201,25822158,26157495,26980534,27020773,27169998,27322161,27511918,27901328,27993144,28023121,28522833,28658872,29105398,29907365,30167158,30532038,30986571,31139875,31158292,31191809,31387960,31388994,31453201,31492287,31587892,31890921,32241231,32685665,32748341,33512361,34926881,34939534,35311455,35877961,35888838,35988081,36007745,36560165,36888775,37318033,37367850,37412969,37665552,37746052,38218215,38543620,39054713,39222798,39302740,39660152,39859040,40033030,40231534,40263441,40345012,40502356,40718854,40766096,41515745,41579140,42068841,42182356,42373746,43095940,43193881,43209294,43444761,43708865,43863574,43872198,44167318,44266530,44337173,44605833,44617671,44841420,45125560,45237921,45497875,45727462,45861858,45923153,46010363,46039798,46252344,46729369,47163288,47217632,47233833,47316673,47830848,47873343,48039636,48117238,48148534,48176241,48385401,48561161,48562995,48698961,49098673,49227413,49818894,49894968,49913620,50065201,50367633,50766255,51077494,51254230,51303561,51537781,51715128,51800528,52033887,52209073,52450638,52697476,52698250,52965365,53049958,53058699,53066121,53116275,53119836,53228494,53376441,53809704,53955412,54150672,54409281,54597450,54726881,54972361,55128245,55538969,55542633,55668065,55881941,55957649,56131839,56570433,56657360,56992075,57142708,57358481,57473620,57528471,57698241,58107633,58179519,58237280,58275594,58416809,58870873,59189998,59231481,59660033,59896344,59966681,59973665,60200398,60535917,60919506,61165833,61505076,61710584,63187745,63237900,63558438,63646601,63739530,64373329,64531942,64550849,64777393,64807161,65516940,65612121,65729090,65771140,66153894,66214833,66315201,66393113,66779638,66801678,67217433,67383387,67453760,67717833,67988832,68300212,68317921,68390490,68486275,68515745,68617041,68716833,68783620,68799718,68968344,69362158,69424407,69595993,69613881,69659758,69884736,70111401,70303078,70955749,71166245,71226358,71361073,71736913,71748334,71968398,72298769,72603361,72787641,72949856,72982841,73116473,73186822,73774401,74355015,74584390,74660433,74744692,74877838,75484216,75642676,75825294,75885480,76034841,76487436,76622433,77079160,77209161,77589387,77599833,78178681,78539765,78620328,78672201,78874908,78925368,79191761,79312016,79397332,79461721,80577094,80814358,80944512,80996248,81098601,81129895,81417250,81429172,81632440,81948601,82067332,82068588,82155173,82183530,82218894,82537078,82540344,82648373,82683958,83090062,83413833,83453041,84020974,84551081,84557140,84758001,84803765,84853833,84919743,85085878,85332633,85371165,85399494,85421063,85705921,86192961,86438836,86714055,86880245,87429142,87662432,87717633,88198421,88447869,88517875,88791039,88889009,88904788,88981129,89046681,89141433,89180344,89226018,89450641,89501268,89776852,90182121,91062576,91120779,91806769,91836495,92494992,92512409,92857887,93178441,93286761,93448942,93898700,93927673,93941961,94247718,94409241,94672081,94924049,95233012,95473174,95737073,96086481,96128681,96736641,96847438,96902281,97014921,97200321,97210438,97355874,97597030,97644673,97700700,97906215,97958928,98033433,98535569,98620236,99218165,99513940,99768718,99969801,...,13952962970939304933359441270258617573952463802214834674452454068098816004189607017497466913032875959463188098317451788359999165809251565733020039254175587850320549915216134588329407258597314881660299697491852423635079829328118799416527331829156679706782918683038533618948901050522201983968349722471117180399607689375099122068108593174142751679202157020649011570339920395320867136291447653727040865526840871759425783153790228181068891405154850465769900430592858033883945367156306960729898876537099343772024764775349338410020429178571671464555380390456782138406048460811074969640271801420919550082867834962900552834246268044234059749813975411659828297880549608896535344577998435379446875716932397463824555090934198900571282323152849334655909423210480486208796030936655508302798744133901143953535961680867985513425143268973867776084542936694602862319665358791458761262024640175794145695613062095718266296812536536186776143850803207933788361603987009348261574070573896908914858239013295843749385234278701269444018026603353301504108259603723409467859345530227411996724431034568264750877029061007437508808681405782466400369585356239648780142048864813373966167757644628736979551968857323535369374624023672214248750308209367616211205129417602804907378225292116257394030511843422517373392867828246063545814736662866747114689286370085694574540018938880509029907605422989225889114480397375602297846946306198269673018481877554655756233098848861672046903008467727431836452136963633675677161233125096730904652000511660301898136570005380919581887769763953096398349832836625764029088770865607787218504837762041212418781965684887260281145266542713859163506071593377833139066224817272058935026823577065605430392227602246684596578073729624794761912879357118103042537314371436128400271120681110603793007638618779474481003312108633287495999026573619589159489114003480828105952092932122139386657387732195543179876470076357833179457832128704283442773232082884444047945543527562296500904787935610131631255029177830649315853053847663129331039056811945672619336827126490658646734812452000020427478298827251260889369155413668666520383768433305682974428192605333023250250443501516940076023485165867570553137218185452922541629003428070735432950053887879078079215830403929388669252864310485503766087466059869655064395361889291162014533100153553392146950723715066700446106717148651799421364477840590825326286686594805686205001053850081880014683822446783149932840081223366738581864806937455564441702198258458186630527746921523424694223914379943210474326042283428601442976726112779797438272511558929382863174194137844357402253373812866467470259886380057229619533883930288961891564692590794114804456165966848229426096614752531163773318595171055617765178284750931952353635247021350034161160757914879080199230405150776466143663714070977496126149426292320191141528680876648785343467856389783023333288946401621112336726796260356327225352806698869321492516373126383613327050076467909059998226581136879134146789571733628623695250305097320737196688617679497524994435780471432733490809726866963}
19192  12626023909333950408364555341208986943786592753262271484856922860917255: {210991,268562,383660,460392,517941,537068,555727,767240,863145,920688,1014367,1035774,1357591,2155927,2375468,3403327,3525992,3598508,3629191,3931922,3966741,4159658,4417447,4444424,4999977,5124428,5296178,5313991,5537407,6650167,6881258,7196264,7314367,7646037,7711148,7865887,8009138,8095797,8166668,8305807,8318444,8415607,8634991,8963527,9102425,9182191,9715641,9727591,10254098,10439948,10477802,10922910,11137207,11401985,11498348,11651104,11951468,12105967,12345945,12484658,13107492,13169008,13610444,13682382,13701545,14195337,14815134,14921642,15082591,15398167,15421385,15817927,16131991,16231061,16243562,16288550,16331624,16441854,16480401,17174191,17241992,17282517,17366444,18264908,18373077,18505662,18653618,19032007,19236991,19397241,19546260,19619525,19952167,20019065,20356844,20506028,20574425,20765191,20849344,20953388,21168485,22030550,22559762,22692104,22977247,23076967,23187230,23276191,23371161,23455512,23543430,24022878,24413662,24494001,24689310,24923882,25056247,25076513,25112992,25402182,25528617,26206058,26299244,26313992,26335264,26387451,26436660,26715991,26909887,27057962,27270578,27464465,27617577,27695378,27771585,27824676,27875047,27907562,28199104,28252116,28354927,28450687,29159525,29480145,29603241,29623024,29627172,29810738,29878447,30067591,30133961,30134348,30232082,30261921,31445488,31640073,31723992,32121002,32330162,32337068,32407591,32870191,32923244,32957358,33325902,33818613,34206122,34240268,34429544,34429567,34702633,34876660,34991430,35243282,35376174,35427487,35670334,35689491,35823590,35878207,36070418,36226664,36429548,36689258,37101098,37324192,37574527,38030444,38538002,38733237,38742698,38947865,38982847,39234950,39484865,39560042,40026991,40470801,40709384,40754997,40781738,41267877,41315428,41851992,41989716,42168991,42338407,42521228,42988308,43209578,43612202,43658097,44016727,44215058,44514607,44679991,44683148,45092191,45250737,45325462,45798057,45816338,46480207,46737438,47081940,47083491,47182565,47381838,47408402,47767567,47851784,47984108,48086527,48166087,48179525,48562807,49128425,49575190,49742167,49779218,49823800,50131687,50220736,50431265,50627945,50760938,50957620,50995934,51059191,51442591,51543722,51973925,52297064,52409301,52518962,52727945,53556367,53684588,53833257,53869925,53996761,54071858,54444991,55230482,56051775,56091788,56406487,56406950,56498328,56575658,56619078,56958698,57544087,57612392,57815430,57926348,58245727,58496264,58834197,58871047,58954110,59022040,59215927,59244842,59434418,59474444,59490228,59788560,59900287,59968327,60049545,60191282,60317228,60347301,60517518,60753534,60757418,60945842,60980287,61078281,61149144,61322258,61669792,61778191,62260778,62304367,62368710,62392025,62635178,62884384,62978444,63273534,63407191,63535567,63560619,63568658,63774464,63831124,64052848,64234988,64513868,64552207,64643910,64750660,64813941,64869482,64931948,65178247,65302591,65612191,65795361,65808297,65871845,66042607,66048689,66250977,66347887,66399795,66425192,66526624,66715562,67156844,67165769,67262130,67266578,67444265,67551007,67610407,67688340,67847287,68141767,68364722,68404748,68591193,68729618,68792787,68953504,69059697,69378516,69398014,69757591,69927367,69934184,70364522,70432807,70744932,70754828,70821700,70826448,70871717,71168588,71267762,71316967,71428385,71746272,71790389,71842025,72059454,72167402,72175857,72200896,72222801,72545708,72796600,72884522,73063442,73290991,73446727,73599338,73704847,73910047,74056844,74063191,74133938,74418007,74728341,74819191,74842452,74844722,74870430,75067591,75166447,75314191,75427244,75898687,76425367,76616241,76661887,76704628,76787498,76849807,76881345,76930988,77138230,77222191,77314322,77476844,77572692,77700792,78014738,78032801,78132991,78267127,78675957,78975308,79046214,79047375,79061042,79359727,79369433,79574937,79679754,79784167,79842741,79861792,80160007,80714556,80933118,81014287,81213007,81226008,81554444,81896175,82006768,82179607,82213925,82325441,82627591,82811191,82992991,83421967,83632567,83702191,83806087,84147727,84215191,84317200,84553778,84613927,84646687,84744584,84873991,84986040,85061162,85375265,85565407,85714062,85747927,85957591,85979525,86105191,86210430,86394991,86409548,86593567,86733247,86743082,87355920,87413391,87482828,87933847,88205192,88244498,88269007,88286444,88385287,88420268,88499767,88784997,88832407,88939687,89003191,89068904,89270887,89370607,89404202,89623244,89828713,89844516,89913487,90187087,90252607,90290444,90300597,90651776,90691993,90884191,91187320,91212727,91267807,91379134,91379259,91489388,91525207,91542991,91622444,91643647,91690087,91726807,91740991,91761727,91775191,91794847,91957792,92001173,92018191,92068087,92257614,92565876,92818508,93164978,93179648,93326762,93430865,93481868,94039733,94355270,94553345,94856850,94936682,95337657,95609295,95957864,96348950,96797913,97050188,97166378,97283537,98275410,98365868,98427818,98593635,98656710,99140020,99211538,99230841,99246665,99547244,...,18603950627919073244479255027011490098603285069619779565936605424131754672252809356663289217377167945950917464423269051146665554412335420977360052338900783800427399886954846117772543011463086508880399596655803231513439772437491732555369775772208906275710558244051378158598534734029602645291132963294822907199476919166798829424144790898857002238936209360865348760453227193761156181721930204969387820702454495679234377538386970908091855206873133954359867240790477378511927156208409280973198502049465791696033019700465784546693905571428895286073840520609042851208064614414766626187029068561226066777157113283867403778995024058978746333085300548879771063840732811862047126103997913839262500955909863285099406787912265200761709764203799112874545897613973981611728041248874011070398325511868191938047948907823980684566857691965157034779390582259470483092887145055278348349366186901058860927484082794291021729083382048249034858467737610578384482138649345797682098760765195878553144318684394458332513645704935025925357368804471068672144346138297879290479127373636549328965908046091019667836038748009916678411575207709955200492780474986198373522731819751165288223676859504982639402625143098047159166165364896285665000410945823488281606839223470406543170967056155009858707349124563356497857157104328084727752982217155662819585715160114259432720025251840678706543473897318967852152640529834136397129261741597692897357975836739541008310798465148896062537344623636575781936182618178234236214977500128974539536000682213735864182093340507892775850359685270795197799777115501018705451694487477049624673117016054949891709287579849680374860355390285145551341428791170444185421633089696078580035764769420807240522970136328912795437431639499726349217172476157470723383085828581504533694827574814138390676851491705965974671082811511049994665368764826118879318818671307770807936123909496185848876516976260724239835293435143777572610442838272377923697642777179258730594058036749728667873050580813508841673372237107532421137405130217505774718742415927563492449102835320878195646416602666693903304398436335014519158873884891555360511691244407577299237590140444031000333924668689253434697980221156760737516290913937230055505337904094313910600071850505437438954440538572518225670485747314005021449954746492873419193815852388216019377466871404522862600964953422267261475622864869065895152637120787767101715582126407581606668071800109173352911763262377533243786774964488984775819742583274085922269597677944248840703662562031232925631885839924280632434723044571468590635634817039729917696682078572510484232258850459143203004498417155289960346515173409639492711845240385282522086256787725486405941554622464305901462153003374885031091460228074157020237713001242603138180329361800045548214343886505440265640540201035288191551618761303328168199235056426921522038241168865047124623808519710697777718595202161483115635728347141769633803742265159095323355164168511484436066768623878746664302108182505512195719428978171498260333740129760982928918156905996699992581040628576977987746302489284}
19193  12676053609293049285760776098649267620722267721251314731010691516737057: {402843,479575,575490,613856,671335,690588,805602,959050,1150860,1227584,1381032,1553661,2969335,3085243,3563202,3888871,4005067,4235023,4407490,4498135,5288988,5397762,5555530,5727943,5897883,6187711,6239487,6296731,6405535,6666636,7166962,7686642,7944267,8632591,8995330,9052747,9638935,9693442,10194716,10201087,10208335,10321887,10398055,10794396,11072746,11522882,11566722,12013707,12038431,12250002,12477666,12767047,12830191,12954188,13049935,13646107,14290171,14372935,14563880,14665807,14939335,15086743,15381147,15659922,15716703,16384365,16461260,17013055,17247522,17263378,17476656,17927202,18243176,18413642,18726987,18927116,19254847,19661238,19753512,19855591,20414530,20415666,20523573,21198991,21552490,21616507,21708055,21922472,21973868,22222701,22382463,22548098,22831135,22868527,23024743,23043356,23702767,23843887,24302791,24365343,24432825,24497436,24662781,24674216,24819058,25050727,25446055,25531426,25632535,25862988,25920146,26049666,26061680,26191735,26530543,27397362,27452491,27514802,27758493,27980427,28365130,28878631,29319390,30125851,30535266,30759042,31161548,31274016,31391240,31430082,31461271,31610491,31698331,32030504,32658668,32874055,32892490,32919080,33045825,33396823,33839643,33869576,34038156,34456042,34686511,34780845,35183268,35248880,35315145,35620711,36034317,36174127,36437083,36601087,36620493,36823436,36863047,37028780,37033965,37099568,37385823,37667935,37669488,37830991,38103273,39058807,39306860,39309087,39448866,39470988,39502896,39654990,40349228,40421335,40586943,40905867,41154055,41277223,41339602,41543067,41737014,41861343,41870311,42186764,42298656,42378174,42393538,42551863,42800335,43036930,43595825,43943144,44215327,44297287,44434536,44440758,44716107,44897842,44984431,45091484,45201522,45283330,45348123,45469738,45536935,45759931,45927967,46506427,46655240,47168232,47538055,47585988,48122282,48181503,48495243,48505602,49090267,49384866,49436037,49553311,49988853,50410843,50886730,51184231,51309183,51360402,51644285,51644316,52314990,52487145,52622407,52685023,52864923,52928251,53064261,53151535,53505501,53615383,53735385,53961068,53966551,54041546,54105627,54339996,54644322,54732667,55023836,55033887,55544791,55651647,55802656,55853935,55963567,55986288,56046242,56373691,57045666,57103447,57317744,57390463,57807003,58114047,58122043,58210796,58248187,58573183,58832587,58852425,59340063,59666287,59814730,59980135,60079771,60334316,60842107,61064076,61172607,61192411,61682407,61777447,61973142,62279750,62316584,62383618,62430127,62456287,62775920,62777988,62906402,62984574,63175784,63560671,63697025,63781842,64482462,64677223,64814367,64891807,64965967,65371330,65418303,65439463,65496682,66131767,66322587,67024722,67105735,67728223,67988193,68643727,68655943,68724507,69038047,69853762,69879068,70106157,70113271,70114735,70622910,71072757,71112603,71755922,71756647,71777676,71976162,72015490,72407935,73120330,73760671,73777550,74151511,74343055,74362785,74636066,74668827,74735700,74825938,75331104,75396535,75492104,76141407,76287367,76436430,76493901,77087240,77179543,77284891,77315583,77935291,78109426,78389707,78445596,78605480,78723055,78778443,78890191,79320304,79718080,79788905,80066060,80293735,80415247,80463068,80526882,80642335,80690024,80938325,81004712,81107787,81164935,81437708,81532192,81718411,82657111,82845723,83031490,83158280,83257927,83374747,83946055,83963131,84137682,84364712,84459727,84560023,84610425,84747492,84863487,84928617,85438047,85505935,85966663,86191880,86387762,86418588,86723145,86889522,87417730,87727148,87744396,87821047,88334636,88431165,88443535,88462843,88527125,88533060,88674346,88867263,88960735,88995391,89151627,89211666,89235342,89301487,89682840,89817727,89863567,90251120,90286923,90475842,90509947,90682135,90776277,90995750,91130301,91136127,91418763,91454924,91723716,91846306,91983387,92008027,92020726,92079596,92371711,92500783,92504688,92571055,93292747,93391167,93458738,93553065,93590263,93952767,94284055,94326576,94435264,94467666,94498267,94633346,94910301,95335867,95352987,95661696,95746686,95880785,95922043,96036091,96079272,96163735,96234476,96297068,96352482,96770802,96846055,96965865,97122322,97125990,97179163,97304223,97397922,97526551,98197346,98454826,98477311,98719135,99632743,99637788,99789936,99827240,...,27905925941878609866718882540517235147904927604429669348904908136197632008379214034994933826065751918926376196634903576719998331618503131466040078508351175700641099830432269176658814517194629763320599394983704847270159658656237598833054663658313359413565837366077067237897802101044403967936699444942234360799215378750198244136217186348285503358404314041298023140679840790641734272582895307454081731053681743518851566307580456362137782810309700931539800861185716067767890734312613921459797753074198687544049529550698676820040858357143342929110760780913564276812096921622149939280543602841839100165735669925801105668492536088468119499627950823319656595761099217793070689155996870758893751433864794927649110181868397801142564646305698669311818846420960972417592061873311016605597488267802287907071923361735971026850286537947735552169085873389205724639330717582917522524049280351588291391226124191436532593625073072373552287701606415867576723207974018696523148141147793817829716478026591687498770468557402538888036053206706603008216519207446818935718691060454823993448862069136529501754058122014875017617362811564932800739170712479297560284097729626747932335515289257473959103937714647070738749248047344428497500616418735232422410258835205609814756450584232514788061023686845034746785735656492127091629473325733494229378572740171389149080037877761018059815210845978451778228960794751204595693892612396539346036963755109311512466197697723344093806016935454863672904273927267351354322466250193461809304001023320603796273140010761839163775539527906192796699665673251528058177541731215574437009675524082424837563931369774520562290533085427718327012143186755666278132449634544117870053647154131210860784455204493369193156147459249589523825758714236206085074628742872256800542241362221207586015277237558948962006624217266574991998053147239178318978228006961656211904185864244278773314775464391086359752940152715666358915664257408566885546464165768888095891087055124593001809575871220263262510058355661298631706107695326258662078113623891345238673654252981317293469624904000040854956597654502521778738310827337333040767536866611365948856385210666046500500887003033880152046970331735141106274436370905845083258006856141470865900107775758156158431660807858777338505728620971007532174932119739310128790723778582324029066200307106784293901447430133400892213434297303598842728955681181650652573373189611372410002107700163760029367644893566299865680162446733477163729613874911128883404396516916373261055493843046849388447828759886420948652084566857202885953452225559594876545023117858765726348388275688714804506747625732934940519772760114459239067767860577923783129385181588229608912331933696458852193229505062327546637190342111235530356569501863904707270494042700068322321515829758160398460810301552932287327428141954992252298852584640382283057361753297570686935712779566046666577892803242224673453592520712654450705613397738642985032746252767226654100152935818119996453162273758268293579143467257247390500610194641474393377235358995049988871560942865466981619453733926}
19194  12726280127477445132609727442535525435472954894681328614521910653051252: {211013,249353,421982,537124,594053,708809,767320,863235,920784,1014473,1035882,1074136,1111454,1208403,1395833,1438575,1534480,1726290,1841376,2028734,2042309,2071548,2156153,2715182,2988809,3102053,3441353,3667193,4311854,4750936,5240009,5314553,5344803,5351813,6611235,6806654,7051984,7197016,7258382,7462409,7535993,7863844,7903433,7933482,8096643,8319316,8333295,8672453,8834894,8888848,9401573,9764933,9999954,10248856,10380809,10592356,10627982,10742009,10750443,11074814,11174393,11282309,11529963,11892473,12107273,12464633,12536009,12743395,12785573,12963593,13300334,13492995,13531913,13709093,13762516,13850693,14027513,14392528,14540163,14628734,14662409,15119333,15189509,15292074,15422296,15644873,15731774,15962779,16018276,16133753,16168613,16191594,16192735,16238309,16333336,16586309,16609119,16611614,16636888,16831214,17106809,17176073,17269982,17284323,17350083,17694533,17798009,17901413,17927054,18204850,18364382,18375003,18417353,18716499,19068293,19182163,19239113,19273253,19431282,19455182,19852409,20192009,20508196,20576575,20767493,20801273,20879896,20955604,21273353,21589939,21810953,21845820,21878009,21978533,22212809,22274414,22803970,22979813,22996696,23112773,23302208,23311973,23489883,23658895,23902936,24211934,24369509,24691890,24969316,25451513,25679909,25871283,25895067,26214984,26232953,26330309,26338016,26719013,26890803,27220888,27364764,27403090,27467335,27620463,27621509,27685733,28026691,28102409,28358153,28390674,28485833,28804195,29491857,29630268,29635879,29692409,29843284,30102533,30165182,30621795,30623499,30796334,30842770,30950009,31324793,31480613,31635854,32256713,32263982,32328735,32349509,32442233,32462122,32487124,32504009,32577100,32663248,32873993,32883708,32960802,33822147,34190309,34348382,34433573,34483984,34555013,34565034,34732888,34797509,35612863,35702309,36510473,36529816,36689273,36746154,36808313,37011324,37228587,37307236,37490309,37578953,38064014,38138693,38297139,38373509,38450251,38461433,38473982,38753993,38794482,38880219,38951935,39016613,39074499,39092520,39239050,39597893,39887333,39904334,40038130,40060613,40713688,40823335,40979909,41012056,41096043,41148850,41272203,41530382,41698688,41777573,41906776,42032633,42336970,42343493,42547695,43018373,43437833,43605113,43799909,43979085,44061100,44630309,44712953,45097673,45119524,45384208,45453509,45590009,45802899,45954494,46029295,46138563,46153934,46285975,46350713,46374460,46552382,46728713,46742322,46911024,47086860,47145123,47613509,48045756,48092453,48198533,48595193,48727013,48827324,48988002,49133575,49338735,49378620,49461509,49670213,49847764,50112494,50153026,50163833,50225984,50370809,50436535,50804364,51014309,51057234,51219173,51449033,51684063,51906809,52084133,52412116,52538309,52598488,52613753,52627984,52670528,52733455,52774902,52873320,53339333,53431982,53587973,53786309,53819774,54107513,54115924,54402809,54451913,54476453,54525509,54527011,54541156,54928930,55063013,55235154,55257509,55278811,55330313,55390756,55499909,55543170,55649352,55750094,55815124,56054393,56294153,56364355,56398208,56504232,56652293,56709854,56901374,57292409,57339593,57645509,57715913,58113509,58319050,58415993,58531973,58740233,58878713,58960290,59173299,59206482,59223653,59246048,59254344,59429753,59482485,59621476,59726309,59756894,59840009,59908133,59998853,60135182,60267922,60268696,60405509,60464164,60523842,60787193,60854309,61010633,61410809,61587833,61808393,62006213,62009403,62247113,62605521,62726009,62890976,63093413,63280146,63437093,63447984,63567261,63590307,63736133,64012409,64242004,64329509,64555395,64660324,64674136,64707653,64812233,64815182,65062409,65332133,65518073,65579909,65682809,65740382,65744453,65846488,65914716,65928953,66055591,66651804,66661137,66741113,66801509,67162373,67346763,67451335,67500809,67560293,67637226,67639493,67698809,67802283,67924995,68033573,68204607,68412244,68443913,68480536,68779795,68859088,68859134,68927813,68966309,69023993,69405266,69753320,69767333,69982860,70442693,70486564,70517093,70603771,70721033,70752348,70850309,70854974,70879123,71162633,71340668,71378982,71436293,71647180,71756414,71762309,71797891,71942309,71996153,72140836,72183423,72453328,72742409,72758403,72763495,72859096,73005509,73040453,73301513,73378516,73405433,73474553,73819123,74077299,74202196,74378309,74596553,74648384,74746853,74796809,74846693,75078533,75149054,75177413,75325193,75341573,75374309,75417895,75974153,76060888,76330095,76452473,76578809,77040603,77048009,77076004,77202809,77249093,77466474,77485396,77555813,77783753,77889509,77895730,77965694,78114809,78189509,78293753,78412409,78456773,78469900,78472485,78633509,78823673,78969730,79120084,79214309,79243013,79377727,79471493,79499909,79641509,79683833,79810373,79880393,80053982,80089253,80227493,80637413,80705033,80941602,81040133,81062319,81080009,81146309,81238793,81418768,81509994,81563476,81578873,81708233,81966483,82205093,82343033,82392953,82455173,82535754,82630856,82799909,82836473,83006153,83435273,83657573,83703984,83727173,83922809,83979432,84059513,84069363,84172553,84239993,84295973,84337982,84671333,84676814,84843187,84920009,85042456,85185509,85269413,85311173,85342409,85568499,85971833,85976616,86119493,86294309,86390309,86418953,86419156,86608073,86812409,86858309,86967653,87224404,87244793,87316194,87323813,87348835,87350009,87497093,87608009,87776009,87858809,87957113,88005833,88022009,88033454,88142309,88284293,88430116,88469573,88515173,88590533,88605509,88716809,89018873,89029214,89130233,89144009,89164613,89246309,89333513,89346809,89359982,89366296,89393093,89606009,89722095,89804153,89864393,89894213,89929733,89999909,90057509,90125573,90184382,90209033,90252809,90396773,90448613,90501474,90579653,90650924,90724133,90811913,90957509,90978809,90991493,91033253,91070153,91102409,91161509,91230053,91263353,91285193,91310309,91352453,91362809,91369673,91403513,91471973,91524809,91560713,91563653,91596114,91606793,91632676,91648133,91672073,91685093,91710533,91747193,91761353,91795493,91846373,91858373,91881509,91887113,91908809,91934309,91961033,91965509,92009993,92010787,92020613,92027333,92034809,92037893,92054009,92059973,92064773,92068553,92083913,92087033,92092409,92098313,92100293,92220583,92959713,92960414,93419625,93474876,93575427,93800239,94163880,94166982,94359603,94365130,94421971,94476861,94763676,94816804,95535134,95672763,95703568,95968216,96173054,96332174,96359050,96723693,97125614,97293703,98056995,98245023,98256850,99150380,99484334,99558436,99647600,99999739,...,41858888912817914800078323810775852721857391406644504023357362204296448012568821052492400739098627878389564294952355365079997497427754697199060117762526763550961649745648403764988221775791944644980899092475557270905239487984356398249581995487470039120348756049115600856846703151566605951905049167413351541198823068125297366204325779522428255037606471061947034711019761185962601408874342961181122596580522615278277349461370684543206674215464551397309701291778574101651836101468920882189696629611298031316074294326048015230061287535715014393666141171370346415218145382433224908920815404262758650248603504888701658502738804132702179249441926234979484893641648826689606033733995306138340627150797192391473665272802596701713846969458548003967728269631441458626388092809966524908396232401703431860607885042603956540275429806921603328253628810083808586958996076374376283786073920527382437086839186287154798890437609608560328431552409623801365084811961028044784722211721690726744574717039887531248155702836103808332054079810059904512324778811170228403578036590682235990173293103704794252631087183022312526426044217347399201108756068718946340426146594440121898503272933886210938655906571970606108123872071016642746250924628102848633615388252808414722134675876348772182091535530267552120178603484738190637444209988600241344067859110257083723620056816641527089722816268967677667343441192126806893540838918594809019055445632663967268699296546585016140709025403182295509356410890901027031483699375290192713956001534980905694409710016142758745663309291859289195049498509877292087266312596823361655514513286123637256345897054661780843435799628141577490518214780133499417198674451816176805080470731196816291176682806740053789734221188874384285738638071354309127611943114308385200813362043331811379022915856338423443009936325899862487997079720858767478467342010442484317856278796366418159972163196586629539629410229073499538373496386112850328319696248653332143836630582686889502714363806830394893765087533491947947559161542989387993117170435837017858010481379471975940204437356000061282434896481753782668107466241005999561151305299917048923284577815999069750751330504550820228070455497602711659411654556358767624887010284212206298850161663637234237647491211788166007758592931456511298262398179608965193186085667873486043599300460660176440852171145200101338320151445955398264093433521772475978860059784417058615003161550245640044051467340349449798520243670100215745594420812366693325106594775374559891583240764570274082671743139829631422978126850285804328930178338339392314817534676788148589522582413533072206760121438599402410779659140171688858601651790866885674694077772382344413368497900544688278289844257593491319955785513166853295534854252795857060905741064050102483482273744637240597691215452329398430991142212932488378448278876960573424586042629946356030403569169349069999866839204863337010180388781068981676058420096607964477549119379150839981150229403727179994679743410637402440368715200885871085750915291962211590065853038492574983307341414298200472429180600889}
19195  12776704232620517487860290402288894753361482220652577650309811835901435: {632973,671405,805686,939869,959150,1150980,1227712,1342670,1381176,1553823,1611204,1667181,1918100,2301720,2455168,2589435,2762064,3043101,3107322,4072773,4157069,4733261,5938670,6170486,6297389,6467781,6915677,7126404,7777742,8010134,8470046,8814980,8967749,8996270,9053693,9829805,10202153,10209981,10399145,10577976,10698701,10795524,10887573,11111060,11455886,11795766,11900223,12039689,12375422,12478974,12593462,12811070,13240445,13252341,13333272,13454717,13494509,13647533,14291669,14333924,14557277,14999931,15162953,15373284,15888534,15941973,16612221,17203145,17265182,17990660,18105494,18269909,19277870,19386884,19950501,20022845,20122109,20365829,20389432,20402174,20416670,20643774,20796110,20915069,21588792,21618773,21943101,22145492,22938111,23045764,23133444,23597661,23818277,24027414,24076862,24287391,24500004,24917421,24955332,25053353,25246821,25488293,25534094,25546781,25635245,25660382,25904973,25908376,26099870,26176649,26194505,26890581,27026441,27292214,27307275,27546573,28012361,28580342,28745870,29127760,29146923,29182773,29331614,29878670,30173486,30391277,30762294,31211645,31319844,31433406,31464569,31963589,32276117,32443853,32768730,32922520,33411621,34026110,34205955,34495044,34526756,34953312,35162597,35334857,35624477,35854404,35885549,36317901,36486352,36668429,36827284,37037835,37304105,37325861,37357853,37453974,37854232,38509694,38767277,39322476,39507024,39711182,40608905,40721375,40829060,40831332,41047146,41104635,41131109,42397982,42586011,42751241,43104980,43233014,43416110,43728317,43844944,43947736,44036333,44445402,44709353,44764926,45096196,45174461,45247773,45662270,45737054,46023677,46049486,46086712,46194501,46264155,46634045,47405534,47453781,47687774,48395973,48605582,48693183,48730686,48865650,48994872,49095413,49325562,49348432,49441203,49638116,50101454,50141549,50276717,50892110,51062852,51265070,51522573,51725976,51840292,51847551,52099332,52123360,52383470,52431989,52735109,53061086,53641097,54722429,54794724,54904982,54962141,55029604,55076375,55119231,55516986,55767917,55960854,56379653,56399405,56589869,56730260,57096021,57109433,57615677,57710973,57757262,57968075,58191723,58254293,58638780,58858575,58883261,59856501,59888981,59920469,60057195,60086069,60251702,60315557,61034155,61070532,61518084,61688873,61723275,62295573,62309705,62323096,62548032,62782480,62794217,62860164,62922542,63220982,63396662,63505455,63751709,64061008,64205957,64684061,64790981,65317336,65515145,65748110,65784980,65838160,66091650,66138761,66553277,66623453,66735653,66793646,67644905,67679286,67739152,68057261,68076312,68176445,68912084,68931741,69230901,69238445,69373022,69529421,69561690,69768905,69828573,70113483,70366536,70497760,70630290,70803197,70970633,71038397,71241422,71264741,72068634,72301999,72348254,72874166,73202174,73240986,73482003,73646872,73726094,73777961,74057560,74067930,74199136,74412149,74526845,74771646,74948669,75168741,75229539,75335870,75338976,75379757,75422909,75580205,75661982,76206546,76585851,76777961,78117614,78195509,78613720,78618174,78897732,78941976,79005792,79162353,79309980,80147973,80302505,80452373,80698456,80729661,80825405,80842670,81173886,81811734,82042829,82308110,82393395,82438397,82554446,82679204,82738493,82852731,83086134,83314755,83474028,83625141,83722686,83740622,83972189,84247781,84373528,84597312,84756348,84787076,85064781,85103726,85352061,85515305,85600670,86073860,86547977,86839421,86853509,87191650,87478575,87886288,88108205,88430654,88440435,88594574,88809723,88869072,88881516,88999853,89175835,89426669,89432214,89558975,89635341,89795684,89968862,90176045,90182968,90202773,90401883,90403044,90566660,90696246,90785763,90939476,91073870,91519862,91723145,91855934,92381477,92642381,92752745,93012854,93310480,93948029,94336464,94508261,94920219,95036201,95076110,95171976,96012053,96244564,96345005,96363006,96455213,96856745,96990486,97011204,97222773,98087375,98160629,98180534,98610573,98741333,98769732,98872074,98900105,99106622,99465437,99816041,99977706,...,55811851883757219733437765081034470295809855208859338697809816272395264016758428069989867652131503837852752393269807153439996663237006262932080157016702351401282199660864538353317629034389259526641198789967409694540319317312475197666109327316626718827131674732154134475795604202088807935873398889884468721598430757500396488272434372696571006716808628082596046281359681581283468545165790614908163462107363487037703132615160912724275565620619401863079601722371432135535781468625227842919595506148397375088099059101397353640081716714286685858221521561827128553624193843244299878561087205683678200331471339851602211336985072176936238999255901646639313191522198435586141378311993741517787502867729589855298220363736795602285129292611397338623637692841921944835184123746622033211194976535604575814143846723471942053700573075895471104338171746778411449278661435165835045048098560703176582782452248382873065187250146144747104575403212831735153446415948037393046296282295587635659432956053183374997540937114805077776072106413413206016433038414893637871437382120909647986897724138273059003508116244029750035234725623129865601478341424958595120568195459253495864671030578514947918207875429294141477498496094688856995001232837470464844820517670411219629512901168465029576122047373690069493571471312984254183258946651466988458757145480342778298160075755522036119630421691956903556457921589502409191387785224793078692073927510218623024932395395446688187612033870909727345808547854534702708644932500386923618608002046641207592546280021523678327551079055812385593399331346503056116355083462431148874019351048164849675127862739549041124581066170855436654024286373511332556264899269088235740107294308262421721568910408986738386312294918499179047651517428472412170149257485744513601084482724442415172030554475117897924013248434533149983996106294478356637956456013923312423808371728488557546629550928782172719505880305431332717831328514817133771092928331537776191782174110249186003619151742440526525020116711322597263412215390652517324156227247782690477347308505962634586939249808000081709913195309005043557476621654674666081535073733222731897712770421332093001001774006067760304093940663470282212548872741811690166516013712282941731800215551516312316863321615717554677011457241942015064349864239478620257581447557164648058132400614213568587802894860266801784426868594607197685457911362363301305146746379222744820004215400327520058735289787132599731360324893466954327459227749822257766808793033832746522110987686093698776895657519772841897304169133714405771906904451119189753090046235717531452696776551377429609013495251465869881039545520228918478135535721155847566258770363176459217824663867392917704386459010124655093274380684222471060713139003727809414540988085400136644643031659516320796921620603105864574654856283909984504597705169280764566114723506595141373871425559132093333155785606484449346907185041425308901411226795477285970065492505534453308200305871636239992906324547516536587158286934514494781001220389282948786754470717990099977743121885730933963238907467852}
19196  12827326696436606292134654629695406796804399104182813576855733243103393: {249379,422026,498706,843964,1074248,1188106,1208529,1417618,1438725,1534640,1726470,1841568,2014005,2028946,2071764,2080483,2148272,2222908,2397625,2416806,2421763,2791666,2877150,3068960,3452580,3682752,4057468,4084618,4143096,4230979,4312306,4660983,5240563,5352379,5430364,5977618,6204106,6355483,6882706,7334386,7683883,8234323,8623708,8908005,9255729,9501872,10480018,10629106,10689606,10703626,11018725,11391379,11666613,11929579,12015201,12465979,12705069,13222470,13494405,13613308,13639723,13888825,13958323,14103968,14170363,14394032,14516764,14924818,15071986,15226243,15727688,15806866,15866964,16170379,16193286,16588123,16638632,16666590,17183829,17344906,17627443,17669788,17693649,17777696,17840753,17917405,18144403,18563133,18718461,18803146,18890193,19216605,19275379,19377763,19529866,19999908,20497712,20761618,20803579,21184712,21255964,21484018,21500886,22149628,22215283,22348786,22488325,22564618,22669829,23059926,23784946,23832801,24214546,24233605,24929266,25072018,25486790,25505953,25571146,25682803,25878283,25897773,25927186,26268379,26365723,26600668,26985990,27063826,27158241,27418186,27525032,27681865,27701386,28055026,28105603,28584763,28785056,28807205,28916805,29062123,29080326,29257468,29324818,29727403,30238666,30379018,30483403,30577579,30584148,30603261,30625005,30844592,30953563,30965661,31194165,31289746,31463548,31925558,32036552,32267506,32337226,32383188,32385470,32476618,32538643,32666672,33122453,33172618,33218238,33223228,33273776,33662428,34194283,34213618,34285579,34352146,34539964,34568646,34700166,34831843,35389066,35596018,35736523,35802826,35854108,36041121,36115293,36409700,36544579,36728764,36750006,36834706,37432998,37435579,38136586,38301141,38364326,38407363,38454269,38478226,38490573,38546506,38758579,38862564,38910364,39149805,39405949,39704818,40325873,40384018,40841683,40938321,41016392,41153150,41270443,41534986,41602546,41759792,41782579,41911208,42087929,42292123,42546706,42870513,43051579,43118805,43158445,43179878,43621906,43691640,43756018,43957066,43997421,44221363,44425618,44548828,44800963,44818005,45212803,45260229,45607940,45959626,45993392,46034105,46143441,46225546,46356379,46604416,46623946,46680523,46979766,47150109,47317790,47805872,48423868,48739018,49153095,49383780,49938632,50014483,50712379,50903026,51036325,51039165,51359818,51742566,51790134,51938683,52429968,52465906,52544923,52660618,52676032,52695763,53370979,53438026,53781606,53881225,54409723,54441776,54483379,54532709,54556963,54729528,54806180,54934670,55143043,55240926,55243018,55288843,55371466,55507003,56053382,56180961,56204818,56301379,56370245,56588083,56716306,56781348,56971666,57152669,57608390,57764541,58144363,58770979,58983714,59047603,59260536,59271758,59384818,59391763,59528923,59566773,59686568,59734123,59870563,60205066,60330364,60817579,61243590,61246998,61418923,61570719,61592668,61685540,61900018,62047645,62649586,62961226,63271708,63596973,63765979,63828565,64338163,64441013,64513426,64527964,64657470,64699018,64800365,64849521,64884466,64924244,64974248,65008018,65124165,65154200,65326496,65747986,65767416,65921604,65958379,66264379,66668103,66810643,67147389,67171579,67529923,67644294,67767379,68380618,68493405,68605581,68696764,68705683,68787005,68867146,68967968,68995123,69074229,69110026,69130068,69465776,69595018,70078579,70611149,70912825,70970803,71108301,71190979,71225726,71404618,71531661,72006379,72487843,72752803,72908373,73020946,73059632,73068379,73096029,73298475,73378546,73492308,73616626,73826837,73845979,73988343,74022648,74457174,74557123,74614472,74807683,74980618,75152181,75157906,75352579,75548563,75840379,75888763,76128028,76277386,76338165,76594278,76605883,76747018,76794379,76897605,76900502,76922866,76947964,77507986,77536843,77588964,77760438,77903870,78033226,78126523,78148998,78185040,78216163,78478100,78575205,78910097,79195786,79440883,79591629,79774666,79808668,80076260,80115379,80121226,80322379,80690443,80771443,81092563,81427376,81526579,81646670,81682243,81720979,81875203,81959818,82024112,82192086,82231225,82297700,82357473,82544406,82995163,83060764,83175523,83247163,83275479,83397376,83555146,83601043,83775283,83813552,83941281,84065266,84084379,84420979,84673940,84686986,84852053,84880123,85095390,85573123,86036746,86140105,86172883,86547283,86575579,86635893,86875666,86882083,86991379,87153163,87210226,87364843,87599818,87622963,87749323,87958170,88122200,88141579,88400563,88515403,88717579,88739683,89125243,89166643,89260618,89425906,90192283,90195346,90239048,90377553,90402883,90418579,90511243,90768416,90787579,90842443,90907018,91000123,91123603,91180018,91182643,91348963,91380283,91545523,91581379,91605798,91624579,91665979,91674043,91876579,91899763,91908988,91927123,91952683,92053483,92058590,92103379,92119003,92277126,92307868,92571950,92701426,92748920,93104764,93457426,93484644,93810041,93822048,94173720,94290246,94383813,94431869,94831473,95094993,95227018,96091512,96184906,96291713,96397066,97190386,97454026,97654648,97976004,98267150,98622165,98677470,98757240,98923018,99137475,99340426,99695528,...,83717777825635829600156647621551705443714782813289008046714724408592896025137642104984801478197255756779128589904710730159994994855509394398120235525053527101923299491296807529976443551583889289961798184951114541810478975968712796499163990974940078240697512098231201713693406303133211903810098334826703082397646136250594732408651559044856510075212942123894069422039522371925202817748685922362245193161045230556554698922741369086413348430929102794619402583557148203303672202937841764379393259222596062632148588652096030460122575071430028787332282342740692830436290764866449817841630808525517300497207009777403317005477608265404358498883852469958969787283297653379212067467990612276681254301594384782947330545605193403427693938917096007935456539262882917252776185619933049816792464803406863721215770085207913080550859613843206656507257620167617173917992152748752567572147841054764874173678372574309597780875219217120656863104819247602730169623922056089569444423443381453489149434079775062496311405672207616664108159620119809024649557622340456807156073181364471980346586207409588505262174366044625052852088434694798402217512137437892680852293188880243797006545867772421877311813143941212216247744142033285492501849256205697267230776505616829444269351752697544364183071060535104240357206969476381274888419977200482688135718220514167447240113633283054179445632537935355334686882384253613787081677837189618038110891265327934537398593093170032281418050806364591018712821781802054062967398750580385427912003069961811388819420032285517491326618583718578390098997019754584174532625193646723311029026572247274512691794109323561686871599256283154981036429560266998834397348903632353610160941462393632582353365613480107579468442377748768571477276142708618255223886228616770401626724086663622758045831712676846886019872651799724975994159441717534956934684020884968635712557592732836319944326393173259079258820458146999076746992772225700656639392497306664287673261165373779005428727613660789787530175066983895895118323085978775986234340871674035716020962758943951880408874712000122564869792963507565336214932482011999122302610599834097846569155631998139501502661009101640456140910995205423318823309112717535249774020568424412597700323327274468475294982423576332015517185862913022596524796359217930386372171335746972087198600921320352881704342290400202676640302891910796528186867043544951957720119568834117230006323100491280088102934680698899597040487340200431491188841624733386650213189550749119783166481529140548165343486279659262845956253700571608657860356676678784629635069353576297179045164827066144413520242877198804821559318280343377717203303581733771349388155544764688826736995801089376556579688515186982639911571026333706591069708505591714121811482128100204966964547489274481195382430904658796861982284425864976756896557753921146849172085259892712060807138338698139999733678409726674020360777562137963352116840193215928955098238758301679962300458807454359989359486821274804880737430401771742171501830583924423180131706076985149966614682828596400944858361201778}
19197  12878148293632488240109804625191544762665472914813583947721440551560226: {633039,748059,939967,1054955,1265946,1342810,1611372,1782159,1879738,1918300,2126427,2301960,2455424,2589705,2685340,2762352,2778635,3043419,3107646,3222408,3334362,3625209,3836200,4187499,4315725,4603440,4848239,4910336,5071835,5178870,5524128,5538107,6086202,6111083,6126927,6214644,6468459,6787955,7490387,8145546,8314138,8966427,9306159,9466522,9894863,10324059,10699819,10779635,11001579,11877340,12340972,12594778,12935562,13339883,13456123,13761727,13831354,14252808,14558803,15555484,15720027,15943659,16020268,16034409,16055439,16095899,16940092,17016635,17629960,17935498,17992540,18107386,18145955,18536623,19178363,19659610,19833705,20404306,20419962,20798290,21155952,21397402,21591048,21775146,22087235,22222120,22387227,22455983,22607979,22911772,23308499,23591532,23707739,23710299,23800446,24068707,24079378,24084403,24289929,24750844,24957948,24999885,25186924,25549459,25622140,26017359,26061923,26480890,26504682,26569955,26666544,26909434,26989018,27295066,27687035,28031983,28204719,28583338,28667848,29114554,29294799,29999862,30325906,30746568,31142427,31201643,31777068,31883946,32226027,32251329,32758643,33224442,33250835,33523179,33846927,34406290,34530364,34589889,34693787,35166283,35677419,35889343,35981320,36181739,36210988,36321819,36539818,36571835,36672307,37393899,37608027,38230185,38356719,38555740,38773768,38890779,39329435,39491899,39901002,40045690,40244218,40478985,40595739,40731658,40778864,40804348,40833340,41127279,41287548,41529035,41552079,41592220,41830138,42078035,42082539,43174955,43177584,43237546,43620489,43696303,43886202,43987227,44290984,44306579,44817635,45357999,45512125,45568527,45876222,45910955,45970063,46091528,46266888,46744063,46934619,47195322,47340623,47636554,47888337,48054828,48153724,48205523,48401259,48505839,48574782,48578205,48637955,48714927,49000008,49242899,49758927,49811663,49827357,49834842,49910664,50106706,50493642,50976586,51068188,51093562,51270490,51320427,51320764,51528219,51553987,51809946,51816752,51852969,52042939,52050249,52199740,52225747,52353298,52389010,53083599,53394027,53704239,53781162,53977907,54052882,54584428,54614550,54989647,55093146,55125009,55252059,55686035,55773763,55975403,56024722,56149497,56852467,57009925,57160684,57204879,57340483,57491740,57546489,57717339,57819759,57820043,58255520,58293846,58365546,58663228,59557227,59757340,59895259,59985587,60346972,60529835,60576027,60782554,61524588,61729725,62302479,62403819,62423290,62639688,62866812,62929138,63666623,63820059,63927178,64552234,64769817,64887706,64905419,65287663,65432859,65537460,65634027,65796203,65845040,65935599,66413999,66630499,66638427,66823242,68052220,68411910,68507725,68939439,68990088,69053512,69338319,69906624,69935919,70325194,70469649,70669714,70976685,71248954,71708808,71759599,71771098,71771699,71908463,72321563,72635802,72972704,73108527,73336858,73654568,74075670,74608210,74651722,74715706,74907948,75049067,75412955,75604979,75610163,75708464,76354539,76832683,76990835,77019388,77039727,77106925,77534554,77613849,77685201,77935003,78644952,78698859,78959167,78990927,79014048,79089635,79217039,79422364,80157039,80432363,80659955,80672409,81155305,81217810,81442750,81658120,81662664,82094292,82209270,82262218,82402005,82861389,82864527,83057199,84080073,84307227,84376879,84577907,84795964,85074459,85172022,85447817,85457499,85502482,85870955,86209960,86412585,86466028,86480003,86832220,87233587,87456634,87689888,87895472,88072666,88475571,88890804,88907637,89077227,89418706,89529852,90192392,90280523,90307599,90348922,90495546,91324540,91334639,91474108,91721203,91865385,91870497,92021843,92047354,92098972,92173424,92389002,92516803,92528310,92850027,93268090,93974379,94441839,94702867,94811068,94907562,95160035,95375548,95447023,96159503,96184955,96770139,96791946,96933823,96959707,96986205,97048527,97211164,97326699,97386366,97461372,97512027,97676467,97731300,97989744,98097625,98190826,98621979,98651124,98696864,98882406,98922287,99276232,99760403,99760835,...,125576666738453744400234971432327558165572174219933512070072086612889344037706463157477202217295883635168692884857066095239992492283264091597180353287580290652884949236945211294964665327375833934942697277426671812715718463953069194748745986462410117361046268147346802570540109454699817855715147502240054623596469204375892098612977338567284765112819413185841104133059283557887804226623028883543367789741567845834832048384112053629620022646393654191929103875335722304955508304406762646569089888833894093948222882978144045690183862607145043180998423514111039245654436147299674726762446212788275950745810514666104975508216412398106537748325778704938454680924946480068818101201985918415021881452391577174420995818407790105141540908375644011903184808894324375879164278429899574725188697205110295581823655127811869620826289420764809984760886430251425760876988229123128851358221761582147311260517558861464396671312828825680985294657228871404095254435883084134354166635165072180233724151119662593744467108508311424996162239430179713536974336433510685210734109772046707970519879311114382757893261549066937579278132652042197603326268206156839021278439783320365695509818801658632815967719715911818324371616213049928238752773884308545900846164758425244166404027629046316546274606590802656360535810454214571912332629965800724032203577330771251170860170449924581269168448806903033002030323576380420680622516755784427057166336897991901806097889639755048422127076209546886528069232672703081094451098125870578141868004604942717083229130048428276236989927875577867585148495529631876261798937790470084966543539858370911769037691163985342530307398884424732471554644340400498251596023355448530415241412193590448873530048420220161369202663566623152857215914214062927382835829342925155602440086129995434137068747569015270329029808977699587463991239162576302435402026031327452953568836389099254479916489589759888618888230687220498615120489158338550984959088745959996431509891748060668508143091420491184681295262600475843842677484628968163979351511307511053574031444138415927820613312068000183847304689445261348004322398723017998683453915899751146769853733447997209252253991513652460684211366492808134978234963669076302874661030852636618896550484990911702712942473635364498023275778794369533894787194538826895579558257003620458130797901381980529322556513435600304014960454337866194792280300565317427936580179353251175845009484650736920132154402021048349395560731010300647236783262437100079975319784326123679674749722293710822248015229419488894268934380550857412986790535015018176944452604030364445768567747240599216620280364315798207232338977420515066575804955372600657024082233317147033240105493701634064834869532772780473959867356539500559886604562758387571182717223192150307450446821233911721793073646356988195292973426638797465135344836630881720273758127889839068091210707508047209999600517614590011030541166343206945028175260289823893432647358137452519943450688211181539984039230231912207321106145602657613257252745875886634770197559115477724949922024242894601417287541802667}
19198  12929169801918896997687305461005566072349537340779518002207429453918780: {326077,498758,785437,844052,997412,1129201,1687928,1898919,2014215,2148496,2376212,2397875,2417058,2819607,2835236,2877450,3069280,3178177,3356675,3452940,3683136,3743197,4028010,4057892,4143528,4160966,4296544,4445816,4531201,4661469,4755697,4795250,4833612,4843526,5001543,5315677,5583332,5754300,6137920,6763201,6905160,7365504,7537597,7768305,8114936,8169236,8286192,8418301,8461958,8624612,8747377,8966401,9129303,9321966,10481126,10704758,10860728,11955236,12217201,12218319,12408212,12471207,12538717,12710966,13765412,14199783,14665597,14668772,14846675,15192817,15367766,15426215,15718237,16241857,16468646,16659457,16971901,17179837,17247416,17283697,17816010,18511458,18892167,19003744,19038301,19403343,19444355,20025335,20060701,20747031,20772097,20960036,21175115,21258212,21379212,21407252,21882877,22037450,22490675,22585201,22782758,22885117,23084701,23333226,23383537,23859158,24030402,24276157,24931958,25064701,25084367,25410138,25750897,26444940,26903247,26988810,27161079,27226616,27279446,27692017,27777650,27916646,28172797,28207936,28340726,28460401,28639715,28788064,29033528,29489415,29849636,29888701,30077917,30143399,30143972,30452486,30606459,30629943,30938555,31197435,31455376,31483655,31487857,31613732,31733928,32027675,32047297,32096103,32340758,32386572,32418817,32511517,32662719,32973937,33176246,33277264,33333180,33927047,34367658,34689812,34987201,35254886,35339576,35387298,35555392,35620477,35681506,35700669,35834810,35890801,36119067,36288806,37126266,37436922,37606292,37780386,38382577,38433210,38550758,38754611,38755526,38821597,38996701,39059732,39721335,39757023,39999816,40330087,40364151,40473457,40483527,40942599,40995424,41523236,41607158,42369424,42438301,42511928,42860401,42875007,42968036,43001772,43028737,43162955,43671831,44041943,44299256,44430566,44696257,44697572,44976650,44999793,45129236,45263735,45339658,45488859,45601117,46119852,46416157,46570667,46982401,47223997,47569892,47665602,47825919,48183901,48194675,48429092,48467210,48739057,49836663,49858532,50144036,50383357,50973580,51005435,51011906,51041675,51078337,51142292,51365606,51609435,51756566,51795546,51854372,51990275,52536758,52731446,53201336,53576701,53799937,53971980,54127652,54316482,54318301,54465757,54539377,54809727,54836372,55050064,55271617,55363730,55402772,55635037,56110052,56211206,56356477,56999617,57169526,57354397,57570112,57614410,57833610,58124246,58160652,58477597,58514936,58649636,58755517,59454806,59787457,59851503,59991901,60068535,60192155,60366327,60421823,60477332,60758036,60966806,61097487,61155158,61168296,61206522,61250010,61338301,61689184,61802737,61907126,61931322,62388330,62579492,62745207,62927096,63303901,63432637,63625201,63835235,63851116,64073104,64150955,64447747,64535012,64674452,64766376,64770940,64856319,64953236,65077286,65249675,65333344,65638897,65700637,65829303,65946877,66244906,66345236,66436476,66446456,66547552,67324856,67519357,67638301,67934401,68230535,68388566,68427236,68571158,68637697,68704292,68814333,68985457,69079928,69137292,69400332,69663686,69786817,69843517,70778132,70792983,71182717,71192036,71347201,71450855,71454831,71473046,71605652,71708216,71864675,72082242,72230586,72320497,72692701,72819400,72862173,73061377,73089158,73329035,73457528,73500012,73633597,73669412,74500801,74651677,74696675,74752263,74851837,74865996,74871158,75149917,75160059,75347197,75396337,75433715,75494401,75740463,76273172,76464879,76602282,76640343,76728652,76814726,76905735,76908538,76956452,76981146,77024257,77093012,77256637,77517158,77714919,77715997,77725128,77820728,78168157,78212977,78299610,78529947,78583515,78745201,78811898,78918343,79050877,79267057,79409636,79524097,79820701,80567197,80651746,80671743,80768036,80971837,81079323,81171457,81250801,81683366,81836701,81876642,81921825,82032784,82306300,82540886,82639719,82850497,83069972,83205092,83497201,83519584,83565158,83742397,83822416,83846401,84037083,84086557,84175858,84584246,84687901,84947677,85065275,85093412,85107697,85171201,85234417,85391197,85685303,85741026,85790401,86030017,86103158,86237610,86316890,86323057,86359756,86438257,86523901,86866703,86996977,87243812,87383280,87440769,87512036,87548319,87654877,87730801,87806077,87905437,87914132,87994842,88052317,88338301,88442726,88636417,88851236,89007901,89097656,89175517,89318401,89359991,89378557,89601926,89636010,89707201,89836477,89926657,90101617,90236401,90425606,90520458,90720511,91136797,91160701,91173831,91215880,91275901,91330801,91404637,91513537,91596157,91604977,91720897,91815901,91849201,91919252,91927357,91948957,91986784,92023837,92057857,92068210,92074237,92112577,92126401,92134717,92286882,92451092,92712758,93208832,93247892,93361046,93634935,93959532,94300218,94393707,94635580,95611744,95890767,96274235,96301807,96828351,96847736,97331559,97478036,98306190,98767560,99277955,99877264,...,167435555651271659200313295243103410887429565626578016093429448817185792050275284209969602956394511513558257179809421460319989989711018788796240471050107054203846598982593615059952887103167778579923596369902229083620957951937425592998327981949880156481395024196462403427386812606266423807620196669653406164795292272501189464817303118089713020150425884247788138844079044743850405635497371844724490386322090461113109397845482738172826696861858205589238805167114296406607344405875683528758786518445192125264297177304192060920245150142860057574664564685481385660872581529732899635683261617051034600994414019554806634010955216530808716997767704939917939574566595306758424134935981224553362508603188769565894661091210386806855387877834192015870913078525765834505552371239866099633584929606813727442431540170415826161101719227686413313014515240335234347835984305497505135144295682109529748347356745148619195561750438434241313726209638495205460339247844112179138888846886762906978298868159550124992622811344415233328216319240239618049299115244680913614312146362728943960693172414819177010524348732089250105704176869389596804435024274875785361704586377760487594013091735544843754623626287882424432495488284066570985003698512411394534461553011233658888538703505395088728366142121070208480714413938952762549776839954400965376271436441028334894480227266566108358891265075870710669373764768507227574163355674379236076221782530655869074797186186340064562836101612729182037425643563604108125934797501160770855824006139923622777638840064571034982653237167437156780197994039509168349065250387293446622058053144494549025383588218647123373743198512566309962072859120533997668794697807264707220321882924787265164706731226960215158936884755497537142954552285417236510447772457233540803253448173327245516091663425353693772039745303599449951988318883435069913869368041769937271425115185465672639888652786346518158517640916293998153493985544451401313278784994613328575346522330747558010857455227321579575060350133967791790236646171957551972468681743348071432041925517887903760817749424000245129739585927015130672429864964023998244605221199668195693138311263996279003005322018203280912281821990410846637646618225435070499548041136848825195400646654548936950589964847152664031034371725826045193049592718435860772744342671493944174397201842640705763408684580800405353280605783821593056373734087089903915440239137668234460012646200982560176205869361397799194080974680400862982377683249466773300426379101498239566332963058281096330686972559318525691912507401143217315720713353357569259270138707152594358090329654132288827040485754397609643118636560686755434406607163467542698776311089529377653473991602178753113159377030373965279823142052667413182139417011183428243622964256200409933929094978548962390764861809317593723964568851729953513793115507842293698344170519785424121614276677396279999467356819453348040721555124275926704233680386431857910196477516603359924600917614908719978718973642549609761474860803543484343003661167848846360263412153970299933229365657192801889716722403556}
19199  12980392002022087450403813219442730356325445540066837227205935149078697: {748137,1055065,1246765,1266078,1476937,1496118,1879934,2109910,2531892,2685620,2970265,3222744,3544045,3564318,3625587,3759476,3836600,3890089,4252854,4316175,4603920,4910848,5072365,5179410,5370680,5524704,5557270,5729737,6042015,6086838,6189649,6215292,6241449,6444816,6532537,6668724,6979165,7100569,7192875,7222189,7250418,7265289,7672400,8371609,8374998,8631450,9206880,9503137,9696478,9820672,9895897,10143670,10211545,10357740,10780765,11048256,11076214,11693929,12172404,12222166,12253854,12429288,12692937,12936918,13341277,13575910,13982949,13990609,14092177,14909281,14944045,14980774,15091489,15510265,15721689,16057137,16097581,16287289,16291092,16628276,17205961,17206765,17932854,18335965,18612318,18933044,19066449,19789726,19828477,20648118,21205657,21399638,21434641,21559270,22003158,22458337,22875721,23051649,23754680,23823289,24681944,24702969,25189556,25404337,25871124,26200045,26538889,26572765,26679766,26724015,26759065,26912246,27523454,27662708,27767187,27859297,28018237,28505616,28709857,29006557,29117606,30922129,31110968,31440054,31620457,31887318,32040536,32068818,32110878,32191798,32762077,32866537,33056175,33407329,33880184,34033270,34174137,34999839,35259920,35342269,35788737,35870996,35985080,36045603,36214772,36291910,36612601,36631549,36874669,37073246,37197937,37312045,37397937,37428721,37679965,38115207,38356726,38761849,38775409,39071089,39319220,39517165,39667410,40483215,40808612,40839924,40919169,41596580,41666475,41874969,42311904,42426577,42511089,42565249,42760237,42794804,43182096,43362265,43550292,44174470,44444240,44774454,44911966,45183937,45215958,45678729,45823544,45942409,46551169,46616998,46928809,47007865,47183064,47415478,47420598,47600892,47757721,48137414,48158756,48168806,48511137,48579858,48824665,48852577,49248061,49501688,49764369,49915896,49999770,50228497,50373848,51098918,51200569,51244280,51551487,51904045,52034718,52123846,52638961,52882329,52961780,53009364,53080947,53139910,53333088,53522259,53652349,53710045,53752215,53818868,53876761,53978036,54433209,54590132,55061209,55374070,55562257,55689399,55853101,55871965,55905469,55948009,55981321,56063966,56155383,56391577,56409438,56411545,56670579,57166676,57335696,57621817,57649815,57826137,58133289,58140649,58229108,58466077,58589598,58591609,58868329,58909249,59462365,59685049,59999724,60328249,60444937,60536365,60651812,60861289,61493136,61796881,62284854,62323165,62403286,62410737,62680045,62744689,62807389,63554136,63673297,63716975,63767892,63927865,64275337,64452054,64502658,64622401,64817965,65460049,65517286,66152749,66420961,66448884,66501670,66645849,67046358,67464975,67659565,67693854,67749529,68009487,68071537,68093137,68545465,68665321,68812580,69060728,69179778,69253465,69387574,69582781,70137565,70332566,70818049,71279737,71354838,71498403,71778686,71873569,71962640,72322921,72363478,72421976,72643638,72700815,73013569,73079636,73143670,73312045,73344614,73793437,74388169,74787798,75216054,75395569,75596665,75947545,76460370,76517859,76713438,76713961,77048409,77111480,77309257,77547536,77634849,77693319,77759149,77781558,77960449,78224365,78658870,78805137,78983798,79097169,79802004,79813895,79880041,80091380,80488436,80668765,80824657,80843065,80957970,80963675,81191478,81191545,81463316,81474723,81557728,81608696,81666680,82254558,82575096,82869457,82931545,83045595,83058070,83104158,83184440,83576737,83660276,83878369,84156070,84165078,84316809,84586849,84741769,84982729,85534045,85754289,85880365,85993849,86349910,86355168,86421615,86475092,86489149,86566189,86750415,87122977,87186369,87240978,87392606,87772404,87974454,88472665,88581968,88613158,88926937,88990045,89182209,89507065,89635270,90435097,90538921,90715998,90923089,91024250,91137054,91450209,91732737,91752444,91809783,91821910,91875015,91940126,92086765,92183056,92243257,92533776,92860689,92896983,93488126,93582495,93620137,93869238,94160737,94390644,94528249,94681246,95056429,95273108,95341465,95776674,95910815,96109656,96195565,96307448,96366265,96411046,96654121,96802518,97011678,97149564,97156410,97275910,97429854,97615929,98000016,98368177,98485798,99094417,99262045,99367359,99517854,99623326,99654714,99669684,99793849,99821328,...,251153333476907488800469942864655116331144348439867024140144173225778688075412926314954404434591767270337385769714132190479984984566528183194360706575160581305769898473890422589929330654751667869885394554853343625431436927906138389497491972924820234722092536294693605141080218909399635711430295004480109247192938408751784197225954677134569530225638826371682208266118567115775608453246057767086735579483135691669664096768224107259240045292787308383858207750671444609911016608813525293138179777667788187896445765956288091380367725214290086361996847028222078491308872294599349453524892425576551901491621029332209951016432824796213075496651557409876909361849892960137636202403971836830043762904783154348841991636815580210283081816751288023806369617788648751758328556859799149450377394410220591163647310255623739241652578841529619969521772860502851521753976458246257702716443523164294622521035117722928793342625657651361970589314457742808190508871766168268708333270330144360467448302239325187488934217016622849992324478860359427073948672867021370421468219544093415941039758622228765515786523098133875158556265304084395206652536412313678042556879566640731391019637603317265631935439431823636648743232426099856477505547768617091801692329516850488332808055258092633092549213181605312721071620908429143824665259931601448064407154661542502341720340899849162538336897613806066004060647152760841361245033511568854114332673795983803612195779279510096844254152419093773056138465345406162188902196251741156283736009209885434166458260096856552473979855751155735170296991059263752523597875580940169933087079716741823538075382327970685060614797768849464943109288680800996503192046710897060830482824387180897747060096840440322738405327133246305714431828428125854765671658685850311204880172259990868274137495138030540658059617955399174927982478325152604870804052062654905907137672778198508959832979179519777237776461374440997230240978316677101969918177491919992863019783496121337016286182840982369362590525200951687685354969257936327958703022615022107148062888276831855641226624136000367694609378890522696008644797446035997366907831799502293539707466895994418504507983027304921368422732985616269956469927338152605749322061705273237793100969981823405425884947270728996046551557588739067789574389077653791159116514007240916261595802763961058645113026871200608029920908675732389584560601130634855873160358706502351690018969301473840264308804042096698791121462020601294473566524874200159950639568652247359349499444587421644496030458838977788537868761101714825973581070030036353888905208060728891537135494481198433240560728631596414464677954841030133151609910745201314048164466634294066480210987403268129669739065545560947919734713079001119773209125516775142365434446384300614900893642467823443586147292713976390585946853277594930270689673261763440547516255779678136182421415016094419999201035229180022061082332686413890056350520579647786865294716274905039886901376422363079968078460463824414642212291205315226514505491751773269540395118230955449899844048485789202834575083605334}
19200  13031815677695444150161816465441461068625047640858133736941747090213300: {326111,364439,652154,709031,823751,997516,1129319,1167479,1510559,1570874,1688104,1899117,1994824,2156831,2244177,2258402,2422271,2498039,2819901,2838599,3103031,3164865,3357025,3375856,3630719,3781199,3797838,4028430,4296992,4306871,4569119,4699345,4752424,4795750,4834116,5316239,5346477,5353511,5639214,5670472,5754900,6138560,6245639,6356354,6379281,6713350,6905880,7366272,7464791,7486394,7769115,8056020,8115784,8287056,8309351,8321932,8335905,8565551,8593088,8891632,9062402,9113231,9130257,9322938,9331799,9511394,9513719,9590500,9667224,9687052,9731759,10003086,10492631,10631354,10875627,11166664,11285951,11393831,11465711,11508600,12003791,12218519,12254279,12275840,12540071,12562497,12647111,12947175,13287839,13526402,13642679,13713551,13810320,13961351,14032079,14244071,14491031,14544717,14731008,15075194,15089159,15215505,15229559,15536610,15754919,16229872,16243631,16338472,16572384,16614321,16661279,16836602,16923916,17249224,17285591,17494754,17631311,17700359,17803871,17907311,17932802,18258606,18333249,18354719,18380781,18526439,18643932,18732239,19074599,19382039,19405377,19960991,20300471,20363865,20774399,20785345,20808191,20962252,21381431,21409516,21596701,21721456,21818231,21985871,22086359,22471161,22887671,22920959,23087279,23120519,23220191,23585039,23666305,23910472,24278879,24434402,24436638,24476471,24816424,24942414,25067519,25077434,25421932,25558079,25753799,25786391,26079359,26339231,26436551,26899281,27051239,27222097,27244751,27530824,27918477,28035469,28175999,28399566,28463639,28495559,28591271,29331194,29337544,29645161,29684589,29693350,29892119,30112871,30270311,30385634,30735532,30852430,30972177,31054511,31436474,31486945,31491479,31678271,32099457,32338905,32360711,32453471,32483714,32546159,32885399,32937292,32977751,33004737,33318914,33943802,34293551,34354391,34359674,34494832,34567079,34567394,34578385,34658111,35353631,35624017,35632020,35654711,36702191,37022916,37088759,37503551,37592231,37710359,37784334,37946231,38007488,38076602,38416439,38475071,38806686,38826191,38888710,39030479,39698951,39901559,39988271,40019649,40050670,40095601,40121402,40161479,40368369,40851431,40908719,41166119,41285181,41494062,41544194,41920072,42302279,42350230,42358751,42443399,42471599,42516424,42758424,42814504,43061951,43313977,43620911,43676409,43765754,43815791,44074900,44077117,44148959,44646551,44729231,44811839,44838745,44981350,45170402,45223799,45268465,45278591,45470111,45565516,45770234,45770279,46169402,46178039,46421831,46610999,46666452,46745879,46767074,47160081,47631071,47718316,47830977,48060804,48103227,48166317,48189839,48216359,48287697,48552314,48745079,49149025,49401479,49766879,49863916,50026919,50129402,50168734,50389631,50776511,50820276,51010765,51049905,51315119,51501794,51570359,51995725,52049569,52457399,52633631,52709039,52759271,52889880,53493505,53608319,53806494,53881031,53977620,54128111,54322158,54437865,54453232,54472679,54497231,54546311,54558892,54570839,55038061,55157111,55302959,55351511,55384034,55424279,55555300,55609869,55642151,55666319,55811159,55833292,55931639,56075951,56345594,56363711,56415872,56531039,56681452,56864519,56920802,57030671,57279430,57535089,57576128,57667871,57738311,57808679,58066079,58067056,58786271,58978830,59108999,59453039,59501115,59699272,59777402,59795279,59931671,59999759,60022439,60155834,60198445,60286798,60287944,60428137,60429311,60811199,60878351,60904972,60945431,61101671,61212918,61259886,61368599,61678559,61832951,61877110,61898999,62206271,62337479,62394870,62910752,62967310,62975714,63183311,63227464,63333839,63369229,63462551,63467856,63569591,63655079,63761759,64055350,64094594,64192206,64586999,64670951,64681516,64773144,64837634,64838471,65023034,65325438,65337959,65544719,65606591,65771231,65947874,65976311,66202225,66261705,66323111,66352492,66554528,66627191,66666360,66768479,66828911,67161681,67273585,67367949,67472545,67528631,67548479,67588151,67647599,67667399,67726751,67786031,67823937,67854094,68237665,68355359,68647199,68735316,69014279,69052751,69110399,69244631,69379624,69416639,69853271,69925497,69974402,70248239,70509772,70546799,70602551,70679152,70774596,70935551,71027591,71110784,71123217,71130897,71211071,71240954,71363012,71401338,71407609,71458345,71466599,71669620,71781602,72026831,72080639,72206121,72238134,72253209,72508511,72543959,72577612,72703079,72786385,72869787,73089311,73124231,73488959,73644191,73867271,74252532,74461151,74679239,74829431,74862719,74873844,74879351,74929199,74999655,75111359,75160871,75177359,75212584,75374591,75407351,75505439,75521759,75560772,75603239,75814765,75943271,76007639,76343471,76533791,76648377,76765154,76866420,76957799,77101516,77237231,77283551,77329799,77509222,77511052,77559959,77590511,77643194,77727599,77993402,78052077,78119464,78179879,78185769,78239639,78492191,79062839,79407959,79442670,79465031,79514046,79578791,79709865,79720271,79762559,79846919,79916999,79999632,80264399,80347031,80579591,80593199,80660174,80715311,80728302,80742359,80917391,80946914,80967054,81117671,81276599,81342479,81655919,81785159,81885198,81990848,82728959,82839191,82875791,82936631,83045639,83046472,83061105,83153999,83214316,83475191,83510519,83522279,83592671,83686079,83767391,83802119,84095949,84111431,84201959,84269017,84269519,84448271,84470471,84614157,84635951,84712559,84738848,84864599,84876602,84929279,85023856,85121591,85132199,85185119,85195679,85384391,85601279,85621751,85693151,85694257,85720802,85750014,85924991,85936072,86003544,86015725,86044271,86054159,86057474,86162399,86201519,86325910,86366351,86462231,86490839,86538359,86623391,86856191,87020711,87182639,87289151,87343662,87368279,87394511,87567551,87669839,87745799,87846071,87884397,88083886,88091711,88171991,88187951,88243559,88353599,88446671,88477439,88561391,88598512,88614311,88748591,88763351,88861132,88880279,88980911,89198159,89211911,89273399,89361071,89369329,89392514,89395144,89434199,89723279,89811337,89816039,89852639,89870831,89953300,89960711,89999586,90258359,90258472,90318551,90372431,90446519,90462191,90498479,90513911,90527470,90604991,90629831,90644639,90679316,90765239,90788759,90830591,90862679,90876311,90977718,90978431,91030031,91042751,91105271,91157999,91202234,91240319,91293239,91348199,91349545,91373231,91415231,91422119,91432391,91568639,91616831,91622711,91651631,91709759,91715111,91725719,91808351,91847519,91856399,91867319,91875911,91918919,91941911,91967279,92020871,92055671,92065751,92092919,92093951,92096999,92107559,92118791,92125031,92127239,92131439,92132111,92140679,92142311,92145359,92152079,92153759,92156279,92157599,92159831,92239704,92832314,93141334,93427281,93604929,93964802,94447994,95139784,95331204,95522749,95651838,96367802,96389350,96678081,96753987,96858184,96934420,97478114,98275929,99673326,99717064,99752505,...,376730000215361233200704914296982674496716522659800536210216259838668032113119389472431606651887650905506078654571198285719977476849792274791541059862740871958654847710835633884893995982127501804828091832280015438147155391859207584246237959387230352083138804442040407711620328364099453567145442506720163870789407613127676295838932015701854295338458239557523312399177850673663412679869086650630103369224703537504496145152336160888860067939180962575787311626007166914866524913220287939707269666501682281844668648934432137070551587821435129542995270542333117736963308441899024180287338638364827852237431543998314926524649237194319613244977336114815364042774839440206454303605957755245065644357174731523262987455223370315424622725126932035709554426682973127637492835289698724175566091615330886745470965383435608862478868262294429954282659290754277282630964687369386554074665284746441933781552676584393190013938486477042955883971686614212285763307649252403062499905495216540701172453358987781233401325524934274988486718290539140610923009300532055632202329316140123911559637933343148273679784647200812737834397956126592809978804618470517063835319349961097086529456404975898447903159147735454973114848639149784716258321652925637702538494275275732499212082887138949638823819772407969081607431362643715736997889897402172096610731992313753512580511349773743807505346420709099006090970729141262041867550267353281171499010693975705418293668919265145266381228628640659584207698018109243283353294377611734425604013814828151249687390145284828710969783626733602755445486588895628785396813371410254899630619575112735307113073491956027590922196653274197414663933021201494754788070066345591245724236580771346620590145260660484107607990699869458571647742642188782148507488028775466807320258389986302411206242707045810987089426933098762391973717487728907306206078093982358860706509167297763439749468769279665856664692061661495845361467475015652954877266237879989294529675244182005524429274261473554043885787801427531528032453886904491938054533922533160722094332415247783461839936204000551541914068335784044012967196169053996050361747699253440309561200343991627756761974540957382052634099478424404934704891007228908623983092557909856689651454972735108138827420906093494069827336383108601684361583616480686738674771010861374392393704145941587967669540306800912044881363013598584376840901695952283809740538059753527535028453952210760396463206063145048186682193030901941710349787311300239925959352978371039024249166881132466744045688258466682806803141652572238960371605045054530833357812091093337305703241721797649860841092947394621697016932261545199727414866117801971072246699951441099720316481104902194504608598318341421879602069618501679659813688275162713548151669576450922351340463701735165379220939070964585878920279916392395406034509892645160821274383669517204273632122524141629998801552843770033091623499029620835084525780869471680297942074412357559830352064633544619952117690695736621963318436807972839771758237627659904310592677346433174849766072728683804251862625408001}
19201  13083441615731134127989541560287810396068789004983219898218697174148977: {978231,1246895,1477091,1496274,1745471,2110130,2356311,2493530,2532156,2953874,2992236,3387603,3759868,4158371,4219820,4961663,5063784,5371240,5696757,5940530,6042645,6445488,6917843,7088090,7101311,7128636,7193625,7251174,7518952,7673200,7720271,7780178,8458821,8505708,8632350,9207840,9534531,9770831,9821696,10070025,10144730,10358820,10402415,10741360,11049408,11114540,11229591,11459474,11695151,11988125,12084030,12108815,12173676,12379298,12430584,12482898,12889632,13065074,13337448,13593603,13958330,13984407,13992071,14201138,14267091,14296163,14385750,14444378,14500836,14530578,14910839,15004629,15093071,15344800,15636563,15947031,16288991,16654391,16743218,16749996,17207759,17262900,18392579,18413760,19006274,19392956,19641344,19791794,20287340,20289603,20423090,20715480,20921663,21154895,21561530,21625571,21714371,22096512,22152428,22161239,22612791,22878119,23304915,23387858,24089471,24344808,24444332,24507708,24858576,25061231,25254903,25385874,25670351,25873836,26202815,26242131,26541671,26682554,26761895,26899203,27034943,27151820,27387909,27965898,27981218,28184354,29128979,29818562,29888090,29961548,30182978,30421511,31020530,31443378,31474463,31777415,32114274,32195162,32574578,32582184,33256552,33410831,33929831,34411922,34413530,35865708,36616439,36651603,36654957,36671930,36680063,37201871,37224636,37337603,37369631,37413621,37462691,37616151,37846919,37866088,38132898,38419415,38842271,39500183,39579452,39656954,40941143,41171615,41296236,42411314,42569711,42599349,42799276,42869282,43118540,43996791,44006316,44050259,44233943,44540025,44916674,45578451,45751442,46103298,46278645,47154711,47417939,47509360,47646578,47805983,48725571,49110851,49363888,49405938,49978371,50379112,50808674,50915703,51539511,51742248,51851091,52236863,52400090,52644479,52751951,53077778,53145530,53359532,53448030,53518130,53824492,54599939,55046908,55093625,55324031,55325416,55534374,55647971,55718594,56036474,56397539,56440943,56676501,56956895,56959103,57011232,57114903,57127391,57352511,57419714,57627911,58013114,58210029,58235212,58272611,58333065,58597751,59360951,59647895,59705039,60076005,60104963,60182103,60707171,61708271,61803359,61844258,62221936,62241093,62316291,62329895,62482583,62880108,63240914,63525345,63774636,64081072,64137636,64221756,64383596,64811363,65344439,65466911,65524154,65648631,65733074,65811011,66112350,66159743,66644591,66814658,67472025,67755603,67756631,67760368,68056151,68066540,68098511,68198615,68348274,68354531,68655351,68665619,68672519,69254103,69444125,69791615,69999678,70150611,70519840,70684538,70851815,70992959,71577474,71741992,71970160,72091206,72429544,72583820,72665663,72828471,72977063,73225202,73263098,73749338,74146492,74395874,74624090,74795874,74857442,75194063,75194103,75253101,75359930,76131215,76230414,76713452,77252691,77523698,77550818,77951351,78142178,78220751,78638440,78976163,79034330,79334820,79652231,79841903,80329283,80709741,80851895,80966430,81483237,81617224,81679848,81838338,82004579,82069031,82130183,82587839,82940615,83076051,83193160,83247311,83332950,83749938,84518391,84623808,84750911,84853154,85022178,85130498,85138919,85381203,85472543,85520474,85589608,85919145,86364192,86724530,86866883,87100584,87132191,87252431,87653651,87752063,88137215,88348940,88468245,88888480,89203765,89339591,89454863,89499011,89548908,89587025,89666103,89823932,89855543,90233751,90367874,90430197,90431916,90722015,90745151,91357458,91647088,91819377,91884818,91889829,92225891,92536271,92815665,93102338,93233996,93592305,93857618,94015730,94366128,94450965,94463571,94538243,94723391,94830956,94841196,95201784,95515442,95963651,96083025,96141891,96274828,96288309,96317512,96337612,96376895,96664343,96888815,96954851,97022274,97159716,97256451,97372739,97534551,97649330,97705154,97936631,97941191,97988157,98192591,98496122,98921811,99003376,99528738,99831792,99999540,...,502306666953814977600939885729310232662288696879734048280288346451557376150825852629908808869183534540674771539428264380959969969133056366388721413150321162611539796947780845179858661309503335739770789109706687250862873855812276778994983945849640469444185072589387210282160437818799271422860590008960218494385876817503568394451909354269139060451277652743364416532237134231551216906492115534173471158966271383339328193536448214518480090585574616767716415501342889219822033217627050586276359555335576375792891531912576182760735450428580172723993694056444156982617744589198698907049784851153103802983242058664419902032865649592426150993303114819753818723699785920275272404807943673660087525809566308697683983273631160420566163633502576047612739235577297503516657113719598298900754788820441182327294620511247478483305157683059239939043545721005703043507952916492515405432887046328589245042070235445857586685251315302723941178628915485616381017743532336537416666540660288720934896604478650374977868434033245699984648957720718854147897345734042740842936439088186831882079517244457531031573046196267750317112530608168790413305072824627356085113759133281462782039275206634531263870878863647273297486464852199712955011095537234183603384659033700976665616110516185266185098426363210625442143241816858287649330519863202896128814309323085004683440681799698325076673795227612132008121294305521682722490067023137708228665347591967607224391558559020193688508304838187546112276930690812324377804392503482312567472018419770868332916520193713104947959711502311470340593982118527505047195751161880339866174159433483647076150764655941370121229595537698929886218577361601993006384093421794121660965648774361795494120193680880645476810654266492611428863656856251709531343317371700622409760344519981736548274990276061081316119235910798349855964956650305209741608104125309811814275345556397017919665958359039554475552922748881994460481956633354203939836354983839985726039566992242674032572365681964738725181050401903375370709938515872655917406045230044214296125776553663711282453248272000735389218757781045392017289594892071994733815663599004587079414933791988837009015966054609842736845465971232539912939854676305211498644123410546475586201939963646810851769894541457992093103115177478135579148778155307582318233028014481832523191605527922117290226053742401216059841817351464779169121202261269711746320717413004703380037938602947680528617608084193397582242924041202588947133049748400319901279137304494718698998889174843288992060917677955577075737522203429651947162140060072707777810416121457783074270988962396866481121457263192828929355909682060266303219821490402628096328933268588132960421974806536259339478131091121895839469426158002239546418251033550284730868892768601229801787284935646887172294585427952781171893706555189860541379346523526881095032511559356272364842830032188839998402070458360044122164665372827780112701041159295573730589432549810079773802752844726159936156920927648829284424582410630453029010983503546539080790236461910899799688096971578405669150167210668}
19202  13135270605971804241170735206897838082451260887340971156214451117776675: {364477,652222,728878,1167601,1304308,1418062,1647502,1995032,2244411,2258638,2334958,2876701,3021118,3141748,3165195,3376208,3668737,3740295,3798234,3989648,4232317,4313662,4344817,4430811,4488354,4516804,4699835,4844542,4996078,5274775,5354077,5639802,5677198,6206062,6329730,6579083,6714050,6751712,7261438,7562398,7595676,7686337,8056860,8593984,8613742,8910795,9138238,9398690,9504848,9591500,9668232,9769117,10095601,10632135,10632478,10692954,10707022,10876761,11278428,11340944,11502877,11509800,11670267,12255601,12277120,12491278,12712708,12758562,12948525,13111537,13426700,13811760,13856701,13893175,14174977,14732544,14929582,14972788,15125917,15217095,15538230,16112040,16231568,16574112,16618702,16643864,16671810,17131102,17186176,17189211,17783264,18047101,18124804,18126045,18226462,18260514,18562801,18568947,18645876,18663598,18724347,18768577,19022788,19027438,19181000,19334448,19374104,19384177,19463518,19597611,20006172,20810497,20937495,20985262,21262708,21301707,21578625,21666567,21751254,21795867,21820657,22122301,22333328,22571902,22787662,22923517,22931422,23017200,23123101,23620801,24007582,24241195,24437038,24508558,24551680,25080142,25114827,25124994,25294222,25359175,25789297,25894350,26374657,26575678,27052804,27247837,27285358,27427102,27620640,27690535,27826717,27922702,28064158,28488142,28498801,28509411,28982062,29089434,29099483,29167357,29462016,29642737,29687691,30150388,30178318,30431010,30459118,30555415,30588097,30634635,30682237,31058077,31073220,31339201,31509838,32271601,32342295,32459744,32487262,32676944,33132827,33144768,33228642,33322558,33673204,33847832,33939775,34297537,34388797,34498448,34571101,34571182,34989508,35081787,35262622,35400718,35607742,35814622,35865604,36517212,36666498,36709438,36761562,36825601,37052878,37287864,37451935,37464478,37714801,37980157,38078811,38149198,38596801,38764078,38810754,39418291,39906301,39921982,40023831,40600942,40727730,41370817,41548798,41570690,41616382,41797597,41924504,41948847,41971827,42101111,42276531,42476701,42762862,42819032,43193402,43442912,43636462,43971742,44081723,44172718,44320477,44727843,44832135,44942322,45229297,45274467,45775342,45803101,45841918,46174558,46241038,46373377,46440382,46530795,47165067,47170078,47332610,47820944,47983297,48171411,48222301,48292743,48409739,48557758,48856477,48861867,48868804,48873276,48952942,49407601,49474315,49632848,49884828,50135038,50154868,50808577,50843864,51116158,51507598,51572782,51576817,51617883,51620295,52158718,52489201,52640257,52678462,52873102,53016637,53313931,53499095,53798562,53898175,54102478,54444194,54489502,54504157,54577777,55007895,55061648,55455601,55673437,55836954,55962877,56070938,56351998,56681437,56799132,56927278,56991118,57182542,57199347,57251101,57463537,58662388,58675088,59139697,59290322,59369178,59386700,59485431,59552257,59784238,60030301,60166237,60225742,60540622,60771268,60841597,60900103,61471064,61513127,61704860,61944354,62039101,62109022,62236417,62774243,62872948,62973890,62982958,63213277,63356542,63375851,63616971,63791617,64198914,64303923,64677810,64721422,64906942,64967428,65092318,65367517,65770798,65874584,65955502,66009474,66352477,66637828,66656497,66699415,67280615,67375011,67557757,67676701,67887604,68384317,68587102,68627163,68708782,68719348,68808635,68966077,68989664,69134158,69134788,69139201,69154947,69156770,69254257,69316222,69711601,70164337,70556701,70707262,71248034,71264040,71309422,71415071,71469867,71549437,72090877,72794015,73404382,73516801,73877917,74045832,74108907,74177518,74639857,74890237,74890907,75007102,75184462,75188317,75420718,75532801,75568668,75892462,75922177,76014976,76153204,76213011,76832878,76875457,76950142,77613372,77652382,77663101,77777420,77890801,78060958,78600135,78871297,79397902,79519837,79616667,79718295,79803118,79976542,80039298,80101340,80172045,80191202,80242804,80277195,80322958,80479495,80605597,80736738,80808817,81681601,81702862,81759217,81797917,81817438,82066801,82332238,82444801,82570362,82988124,83088388,83286877,83301561,83535601,83577891,83711101,83840144,84054711,84226801,84277823,84294337,84461917,84495217,84604558,84700460,84717502,84886798,84943198,85032848,85083175,85146097,85209601,85367101,85516848,85615357,85629008,86068417,86123902,86129571,86215837,86619037,86627954,87019671,87197377,87241822,87352818,87531508,87591037,87631582,88149800,88154234,88297918,88561597,88786237,89193217,89293102,89456701,89458462,89496157,89623678,89677490,89782897,89893057,89962700,90241537,90340804,90388957,90447598,90468337,90515101,90536930,90557182,90729775,90810301,90940222,91051357,91101757,91131032,91347457,91540468,91540558,91542397,91727617,91867837,91919101,91931197,91937137,91960177,92099677,92112637,92135101,92146801,92150977,92160157,92179201,92338804,92356078,92683115,92766387,92843662,93221998,93332904,93491758,93534148,94183019,94320162,94461563,94861371,94948579,95262142,95436632,95532731,95661954,95891815,96121608,96206454,96332634,96379678,96432718,96575394,97104628,97490158,98286231,98298050,98599611,98802958,99168525,99533758,99727832,...,753460000430722466401409828593965348993433045319601072420432519677336064226238778944863213303775301811012157309142396571439954953699584549583082119725481743917309695421671267769787991964255003609656183664560030876294310783718415168492475918774460704166277608884080815423240656728198907134290885013440327741578815226255352591677864031403708590676916479115046624798355701347326825359738173301260206738449407075008992290304672321777720135878361925151574623252014333829733049826440575879414539333003364563689337297868864274141103175642870259085990541084666235473926616883798048360574677276729655704474863087996629853049298474388639226489954672229630728085549678880412908607211915510490131288714349463046525974910446740630849245450253864071419108853365946255274985670579397448351132183230661773490941930766871217724957736524588859908565318581508554565261929374738773108149330569492883867563105353168786380027876972954085911767943373228424571526615298504806124999810990433081402344906717975562466802651049868549976973436581078281221846018601064111264404658632280247823119275866686296547359569294401625475668795912253185619957609236941034127670638699922194173058912809951796895806318295470909946229697278299569432516643305851275405076988550551464998424165774277899277647639544815938163214862725287431473995779794804344193221463984627507025161022699547487615010692841418198012181941458282524083735100534706562342998021387951410836587337838530290532762457257281319168415396036218486566706588755223468851208027629656302499374780290569657421939567253467205510890973177791257570793626742820509799261239150225470614226146983912055181844393306548394829327866042402989509576140132691182491448473161542693241180290521320968215215981399738917143295485284377564297014976057550933614640516779972604822412485414091621974178853866197524783947434975457814612412156187964717721413018334595526879498937538559331713329384123322991690722934950031305909754532475759978589059350488364011048858548522947108087771575602855063056064907773808983876109067845066321444188664830495566923679872408001103083828136671568088025934392338107992100723495398506880619122400687983255513523949081914764105268198956848809869409782014457817247966185115819713379302909945470216277654841812186988139654672766217203368723167232961373477349542021722748784787408291883175935339080613601824089762726027197168753681803391904567619481076119507055070056907904421520792926412126290096373364386061803883420699574622600479851918705956742078048498333762264933488091376516933365613606283305144477920743210090109061666715624182186674611406483443595299721682185894789243394033864523090399454829732235603942144493399902882199440632962209804389009217196636682843759204139237003359319627376550325427096303339152901844702680927403470330758441878141929171757840559832784790812069019785290321642548767339034408547264245048283259997603105687540066183246998059241670169051561738943360595884148824715119660704129267089239904235381391473243926636873615945679543516475255319808621185354692866349699532145457367608503725250816002}
19203  13187303441322323223719181037306105746448323658919065466118549576268464: {978333,1093317,1630385,1745653,1956462,2127093,2320901,2471253,2493790,2954182,2992548,3387957,3490942,3502437,3927185,4220260,4531677,4712622,4987060,5064312,5646005,5697351,5907748,5984472,6112997,6470493,6732531,6775206,7266813,7492733,7494117,7519736,8316742,8439640,8459703,8515797,9309093,9444401,9494595,9923326,10071075,10127568,10134053,10742480,10892157,11158037,11343597,11393514,11881060,11989375,12085290,12890976,12920613,13707357,13835686,14098035,14176180,14202622,14257272,14387250,14502348,14563381,14933501,15037904,15292061,15346400,15440542,15560356,15638197,15890885,15948717,16039431,16060533,16783375,16917642,16952341,17011416,17264700,18048077,18394501,18415680,18715985,18736917,19069062,19137843,19541662,19643392,20140050,20289460,20717640,20804830,21482720,22098816,22229080,22394373,22459182,22656005,22918948,23307345,23390302,23715197,23778485,23976250,24168060,24217630,24347352,24758596,24861168,24928053,24965796,25007715,25557493,25696653,25779264,25947197,26130148,26578385,26674896,27037777,27187206,27339693,27390771,27916660,27968814,27984142,27995397,28402276,28534182,28541157,28592326,28771500,28888756,29001672,29061156,29195277,29388977,29616853,29821678,30009258,30186142,30689600,31273126,31477893,31894062,32142401,32577982,32626881,33308782,33486436,33499992,33816005,33857853,34181493,34397133,34415518,34425157,34525800,34704701,35177341,36011373,36639233,36655557,36683941,36762837,36785158,36827520,37341517,37436597,37466653,37620213,37687491,37687985,37941333,38012548,38785912,38841525,39282688,39583588,39863517,39921101,40574680,40579206,40846180,40928037,41140653,41430960,41843326,41884053,42091505,42096237,42309790,42732213,43123060,43251142,43428742,43473093,43634151,43736885,44193024,44304856,44320517,44322478,44488381,44728177,44832005,45225582,45267477,45646515,45688677,45756238,46609830,46775716,46938653,47264757,48178942,48220721,48591917,48689616,48730893,48888664,49015416,49717152,49842963,49983837,50122462,50509806,50771748,51340702,51747672,51856773,52059397,52405630,52484262,52893933,53083342,53101077,53365108,53411613,53523790,53721933,53787181,53798406,54069886,54303640,54775818,54999747,55064157,55142343,55579317,55791301,55864817,55917233,55931796,55962436,56196717,56368708,57223797,57640261,58146117,58216131,58257958,58453901,59637124,59776180,59882973,59914093,59923096,60365956,60843022,60887317,60901413,60911477,61086005,61091595,62041060,62323197,62356035,62424573,62693585,62886756,62948926,63554830,64144293,64228548,64390324,64790103,64818157,64925837,65149156,65164368,65219237,65454693,65957613,66259077,66513104,66651637,66821662,67413483,67859662,68105713,68438641,68663013,68762877,68823844,68827060,69261837,69361557,69597377,69660573,70755117,70998915,71000401,71731416,71794277,72836637,73028933,73151837,73162781,73232878,73303206,73309914,73327985,73343860,73360126,73429413,74233375,74403742,74403773,74449272,74675206,74739262,74827242,74925382,75202557,75232302,75634001,75693838,75732176,75964085,76062757,76265796,76674237,76838830,76981661,77131075,77261397,77359173,77684542,78227117,78238077,78591185,79000366,79017693,79158904,79309653,79313908,79739653,79896797,80458037,80697843,81150277,81153717,81209285,81666291,81734253,81882286,82343230,82592472,83297285,83507053,83755431,84106407,84527997,84822628,84859505,84914257,85139422,85198698,85390917,85486677,85598552,85600741,85738564,85773813,85899185,86237080,86418485,86507441,86524757,87261853,87993582,88012632,88100518,88467886,88935483,89053767,89080050,89292037,89676357,89833348,90338613,90810933,91156902,91363877,91502884,92206596,92557290,92571677,92916531,93163533,94309422,94460835,94474437,94835878,94984901,95018720,95034813,95191505,95293156,95328017,95478061,95611966,96052477,96298371,96990673,97016715,97082133,97221775,97360413,97383037,97451142,97638477,97708261,98221702,98598797,98656197,98727776,98811876,98933253,99014211,99192541,99956742,...,1130190000646083699602114742890948023490149567979401608630648779516004096339358168417294819955662952716518235963713594857159932430549376824374623179588222615875964543132506901654681987946382505414484275496840046314441466175577622752738713878161691056249416413326121223134860985092298360701436327520160491612368222839383028887516796047105562886015374718672569937197533552020990238039607259951890310107674110612513488435457008482666580203817542887727361934878021500744599574739660863819121808999505046845534005946803296411211654763464305388628985811626999353210889925325697072540862015915094483556712294631994944779573947711582958839734932008344446092128324518320619362910817873265735196933071524194569788962365670110946273868175380796107128663280048919382912478505869096172526698274845992660236412896150306826587436604786883289862847977872262831847892894062108159662223995854239325801344658029753179570041815459431128867651915059842636857289922947757209187499716485649622103517360076963343700203976574802824965460154871617421832769027901596166896606987948420371734678913800029444821039353941602438213503193868379778429936413855411551191505958049883291259588369214927695343709477443206364919344545917449354148774964958776913107615482825827197497636248661416848916471459317223907244822294087931147210993669692206516289832195976941260537741534049321231422516039262127297018272912187423786125602650802059843514497032081927116254881006757795435799143685885921978752623094054327729850059883132835203276812041444484453749062170435854486132909350880200808266336459766686886356190440114230764698891858725338205921339220475868082772766589959822592243991799063604484264364210199036773737172709742314039861770435781981452322823972099608375714943227926566346445522464086326400421960775169958907233618728121137432961268280799296287175921152463186721918618234281947076582119527501893290319248406307838997569994076184984487536084402425046958864631798713639967883589025732546016573287822784420662131657363404282594584097361660713475814163601767599482166282997245743350385519808612001654625742205007352132038901588507161988151085243097760320928683601031974883270285923622872146157902298435273214804114673021686725871949277673729570068954364918205324416482262718280482209482009149325805053084750849442060216024313032584123177181112437824763903008620920402736134644089040795753130522705087856851429221614179260582605085361856632281189389618189435144560046579092705825131049361933900719777878058935113117072747500643397400232137064775400048420409424957716716881114815135163592500073436273280011917109725165392949582523278842183865091050796784635599182244598353405913216740099854323299160949443314706583513825794955024265638806208855505038979441064825488140644455008729352767054021391105205496137662817212893757636760839749177186218103529677935482463823151008551612820896367572424889996404658531310099274870497088862505253577342608415040893826223237072679491056193900633859856353072087209865889955310423918519315274712882979712931778032039299524549298218186051412755587876224003}
19204  13239540917761568609809322083099376408641645704981585632125103214888300: {441163,728954,785683,900379,1304444,1457756,1587043,2335202,2498563,2608616,2836124,2934693,3179179,3292363,3295004,3631483,3740685,3990064,4431273,4488822,4517276,4669916,4869379,5236413,5275325,5540923,5753402,6042236,6233825,6283496,6330390,6579769,6752416,7068933,7337474,7384685,7480590,7540003,7596468,7979296,8091163,8464634,8627324,8640523,8689634,8861622,8976708,9033608,9188083,9399670,9406603,9689084,9992156,10162809,10549550,10708154,10928179,11279604,11354396,11468179,12412124,12475113,12649843,12659460,12970603,13158166,13428100,13503424,13716523,14035123,14522876,14851325,14884989,15124796,15191352,15372674,15828283,16113720,17090271,17187968,17227484,17289379,17393203,17704243,17720225,17821590,18127935,18276476,18427483,18797380,19009696,19183000,19249723,19336464,19450445,19538234,20191202,20753529,20981683,21264270,21264956,21303933,21385908,21414044,21580875,21753522,21890179,21990763,22556856,22681888,22992643,23005754,23019600,23160813,23291803,23340534,24383179,24511202,24554240,24982556,25361825,25376463,25425416,25517124,25897050,26223074,26853400,26928163,27623520,27713402,27786350,28278379,28349954,28603593,28648685,29312493,29465088,29859164,29945576,30088243,30210075,30251834,30277243,30434190,30948245,31076460,31124179,31207245,31498723,32224080,32430043,32463136,32522779,32662685,33077683,33148224,33237404,33287728,33343620,33688773,33937673,33996763,34262204,34362379,34372352,34378422,34895825,35085453,35502845,35566528,35632963,35723179,35964375,36083323,36094202,36110945,36249608,36252090,36326445,36452924,36521028,37125602,37137894,37291752,37327196,37448694,37537154,38045576,38054876,38362000,38396179,38484163,38668896,38748208,38766749,38768354,38927036,39195222,39360043,40012344,40055563,40228723,40574179,40780809,40918483,41620994,41858045,41874990,41953221,41970524,41976213,42199363,42368923,42525416,42603414,42777581,42801273,42888489,43157250,43333134,43502508,43591734,43641314,43965379,44055737,44244602,44666656,44712523,44732517,45013887,45143804,45279213,45289603,45575324,45617779,45847034,45862844,46034400,46246202,46514323,46585253,46909689,47241602,47321803,47515685,47841093,48015164,48482390,48757123,48866973,48874076,49017116,49103360,49479485,49963173,50160284,50229654,50249988,50402179,50588444,50718350,51057725,51251203,51578594,51623277,51788700,52432709,52749314,52772563,53151356,53820379,53894683,53903825,54105608,54495674,54560179,54570716,54854204,55177737,55241280,55365643,55381070,55653434,55656379,55845404,56128316,56449963,56976284,56997602,57018822,57092779,57964124,58081123,58178868,58198966,58334714,58469645,58570003,58778443,58924032,59285474,59375382,59879179,60300776,60356636,60862020,60868809,60918236,61110830,61176194,61269270,61364474,61628563,62116154,62146440,62222779,62678402,62764989,63007373,63019676,63464685,63586603,64478179,64543202,64684590,64855963,64876713,64919488,64974524,65043883,65143113,65353888,65355643,65665603,65727379,65789083,65973763,66265654,66289536,66457284,66483717,66645116,66645379,66706385,67008043,67346408,67606723,67695664,67838373,67879550,68064821,68595074,68634357,68777594,68996896,69071923,69142202,69142364,69264041,69302179,69872779,69914745,69953045,69979016,70163574,70460885,70525244,70801436,71215484,71486803,71629244,71731208,71972849,72268413,72351379,72404803,72564643,73034424,73145179,73332996,73418876,73458163,73523124,73651202,73665379,73717003,74105756,74546405,74575728,74720225,74884483,74898733,74903870,74928956,75183693,75232243,75429379,75429602,75457445,75764709,75960314,76110283,76157622,76298396,76588003,77011053,77105179,77193602,77291083,77528156,77551325,77613643,77621508,77796379,78248179,78608445,78726393,78836582,79130179,79603003,79625013,79812602,79843964,79941403,80047662,80285685,80487905,80604379,80645203,80697609,80767243,81049483,81104829,81201884,81209179,81367723,81436445,81455460,82163727,82520083,82741634,82889803,82962883,83097596,83141380,83232764,83595194,83782603,83849008,83897694,83943654,84202222,84296683,84364003,84497779,84553062,84663379,84953402,85307779,85433203,85525724,85638064,85649923,85953403,86029805,86033825,86386804,86395123,86885824,86931379,87272924,87386937,87725179,87876163,87943484,87975379,88122043,88163446,88218379,88345436,88640954,88794379,88925923,89139403,89243443,89455686,89664270,89884644,89903179,89975323,89993179,90081379,90318763,90458594,90548934,90808363,91012483,91064179,91139563,91188379,91264533,91457083,91467379,91550684,91606202,91649323,91658179,91679825,91683836,91750843,91774603,91849123,91883683,91982179,92095363,92145043,92162683,92171179,92178523,92349116,92482076,92746754,92880764,93061590,93379181,94192861,94330134,94340156,94423389,94665220,94958501,95332245,95641888,95966594,96332089,96342822,96444602,96585486,96819478,97115516,97712954,97723734,97737608,97746552,97905884,98815202,98948630,99142385,99265696,99580217,99769656,...,1506920000861444932802819657187930697986866090639202144840865039354672128452477557889726426607550603622024314618284793142879909907399169099166164239450963487834619390843342535539575983928510007219312367329120061752588621567436830336984951837548921408332555217768161630846481313456397814268581770026880655483157630452510705183355728062807417181353832958230093249596711402694653650719476346602520413476898814150017984580609344643555440271756723850303149246504028667659466099652881151758829078666006729127378674595737728548282206351285740518171981082169332470947853233767596096721149354553459311408949726175993259706098596948777278452979909344459261456171099357760825817214423831020980262577428698926093051949820893481261698490900507728142838217706731892510549971341158794896702264366461323546981883861533742435449915473049177719817130637163017109130523858749477546216298661138985767735126210706337572760055753945908171823535886746456849143053230597009612249999621980866162804689813435951124933605302099737099953946873162156562443692037202128222528809317264560495646238551733372593094719138588803250951337591824506371239915218473882068255341277399844388346117825619903593791612636590941819892459394556599138865033286611702550810153977101102929996848331548555798555295279089631876326429725450574862947991559589608688386442927969255014050322045399094975230021385682836396024363882916565048167470201069413124685996042775902821673174675677060581065524914514562638336830792072436973133413177510446937702416055259312604998749560581139314843879134506934411021781946355582515141587253485641019598522478300450941228452293967824110363688786613096789658655732084805979019152280265382364982896946323085386482360581042641936430431962799477834286590970568755128594029952115101867229281033559945209644824970828183243948357707732395049567894869950915629224824312375929435442826036669191053758997875077118663426658768246645983381445869900062611819509064951519957178118700976728022097717097045894216175543151205710126112129815547617967752218135690132642888377329660991133847359744816002206167656273343136176051868784676215984201446990797013761238244801375966511027047898163829528210536397913697619738819564028915634495932370231639426758605819890940432555309683624373976279309345532434406737446334465922746954699084043445497569574816583766351870678161227203648179525452054394337507363606783809135238962152239014110140113815808843041585852824252580192746728772123607766841399149245200959703837411913484156096996667524529866976182753033866731227212566610288955841486420180218123333431248364373349222812966887190599443364371789578486788067729046180798909659464471207884288986799805764398881265924419608778018434393273365687518408278474006718639254753100650854192606678305803689405361854806940661516883756283858343515681119665569581624138039570580643285097534678068817094528490096566519995206211375080132366493996118483340338103123477886721191768297649430239321408258534178479808470762782946487853273747231891359087032950510639617242370709385732699399064290914735217007450501632004}
19205  13291983834354258700413256415013156926438423082276252492822897005715618: {1093431,1630555,1822195,1956666,2186634,2282539,2321143,2742883,3260770,3491306,3502803,3545155,3912924,4118755,4254186,4641802,4942506,4987580,5498059,5646595,5837395,5908364,5985096,6534583,6733233,6775914,6981884,7004874,7224451,7552795,7796899,7854370,7904407,8374231,8440520,8630103,9063354,9425244,9495585,9974120,10095739,10128624,10555507,10784155,11006211,11159203,11220885,11292010,11394702,11815496,11968944,12111355,12225994,12490195,12696951,12940986,13034451,13186771,13292433,13465062,13550412,14099505,14192995,14533626,14985466,14988234,15039472,15293659,15354163,15515155,15824325,16062231,16633484,16785125,16879280,16919406,17031594,17091127,17648683,18049963,18153595,18618186,18888802,18905995,18928471,18989190,19737249,19846652,20142150,20255136,20268106,20536147,21484960,21534355,21778819,21784314,22247239,22316074,22465399,22687194,22787028,22845595,23059011,23496725,23717683,23762120,23978750,24170580,25781952,25841226,26202379,26581195,26732385,26767555,26826763,27414714,27671372,28027051,28196070,28352360,28405244,28514544,28774500,29004696,29126762,29307351,29867002,30075808,30286803,30584122,30692800,30881084,31120712,31228195,31276394,31415803,31718407,31781770,31896405,31897434,32078862,32121066,32630283,32772379,32876899,33251419,33289879,33566750,33710323,33835284,33904682,34022832,34122583,34508631,34529400,34708339,35010801,35353387,36096154,36766803,36789002,36831360,37209739,37323955,37431970,37473834,37854883,38138124,38275686,38787607,38845575,39083324,39286784,39334611,40280100,40339123,40578920,40949731,41435280,41546755,41570103,41609660,41679525,42524931,42827755,42965440,44197632,44243251,44325163,44369779,44458160,44788746,44918364,45198151,45312010,45377751,45566155,45651285,45837896,46614690,46658995,46780604,47179483,47342407,47430394,47556970,47568595,47816011,47952500,48336120,48435260,48658795,48694704,48867979,49263547,49517192,49560331,49722336,49856106,49931592,50015430,50793739,51114986,51393306,51558528,51567633,51894394,52260296,52463155,52763179,53156770,53349792,53669227,53893747,54075554,54141303,54374412,54378135,54679386,54781542,55688403,55706841,55833320,55937628,55968284,55990794,56173041,56305731,56429755,56804552,56969155,56971051,57068364,57082314,57184652,57328555,57400663,57426811,57543000,57640099,57777512,57844387,58003344,58122312,58152531,58390554,58460083,58777954,58792833,58869943,58928107,59171107,59233706,59643356,59717563,60018516,60018955,60372284,61092595,61231639,61271395,61379200,62431491,62495731,62546252,62700355,62764807,62812485,62827147,62955786,63235555,63693319,63788124,63905121,64284802,64735875,64932643,64999701,65155964,65253762,65387601,65461971,66094663,66366903,66439195,66441847,66617564,66972872,66999984,67632010,67715706,68092951,68213395,68362986,68567755,68770551,68794266,68831036,68850314,69051600,69081883,69369303,69409402,69806755,70160395,70354682,70840327,70862403,71220355,71801803,71986291,72022746,72455155,72723585,72992371,73278466,73311114,73367882,73525674,73570316,73655040,73807387,73816651,74683034,74873194,74933306,75240426,75344481,75374982,75375970,75419287,75445795,75636811,75882666,76025096,76077525,76147795,76738147,77367891,77571824,77625859,77683050,78565376,78774595,79101163,79123971,79167176,79727034,79765627,79842202,79858651,80850139,81149360,81158412,81218155,81692360,81743511,81770167,81856074,82086499,82147411,82281306,82605163,82861920,82895923,83071605,83306395,83480151,83686652,83768106,83884531,84183010,84192474,84619580,85464426,85496403,85520407,85528233,86038327,86246120,86427955,86452171,86502284,86516587,86857484,86937763,86946186,87150619,87268302,87298449,87473770,87502071,87771019,88156555,88263283,88386048,88501795,88609712,88641034,88644956,88928211,88976762,89019355,89051899,89063073,89456354,89536555,89664010,89874451,90451164,90534954,91293030,91377354,91512476,91666245,91764291,91773595,91903905,92046711,92060587,92272339,92632195,93174231,93219660,93551432,93661195,93877306,94017603,94529514,95086771,95372995,95396983,95807479,96357884,96441442,96468139,96684787,96814803,96910195,97026885,97183834,97240711,97379232,97461786,97777328,98030832,99125659,99398481,99434304,99685926,99804955,99967674,...,2260380001292167399204229485781896046980299135958803217261297559032008192678716336834589639911325905433036471927427189714319864861098753648749246359176445231751929086265013803309363975892765010828968550993680092628882932351155245505477427756323382112498832826652242446269721970184596721402872655040320983224736445678766057775033592094211125772030749437345139874395067104041980476079214519903780620215348221225026976870914016965333160407635085775454723869756043001489199149479321727638243617999010093691068011893606592822423309526928610777257971623253998706421779850651394145081724031830188967113424589263989889559147895423165917679469864016688892184256649036641238725821635746531470393866143048389139577924731340221892547736350761592214257326560097838765824957011738192345053396549691985320472825792300613653174873209573766579725695955744525663695785788124216319324447991708478651602689316059506359140083630918862257735303830119685273714579845895514418374999432971299244207034720153926687400407953149605649930920309743234843665538055803192333793213975896840743469357827600058889642078707883204876427006387736759556859872827710823102383011916099766582519176738429855390687418954886412729838689091834898708297549929917553826215230965651654394995272497322833697832942918634447814489644588175862294421987339384413032579664391953882521075483068098642462845032078524254594036545824374847572251205301604119687028994064163854232509762013515590871598287371771843957505246188108655459700119766265670406553624082888968907498124340871708972265818701760401616532672919533373772712380880228461529397783717450676411842678440951736165545533179919645184487983598127208968528728420398073547474345419484628079723540871563962904645647944199216751429886455853132692891044928172652800843921550339917814467237456242274865922536561598592574351842304926373443837236468563894153164239055003786580638496812615677995139988152369968975072168804850093917729263597427279935767178051465092033146575645568841324263314726808565189168194723321426951628327203535198964332565994491486700771039617224003309251484410014704264077803177014323976302170486195520641857367202063949766540571847245744292315804596870546429608229346043373451743898555347459140137908729836410648832964525436560964418964018298651610106169501698884120432048626065168246354362224875649527806017241840805472269288178081591506261045410175713702858443228358521165210170723713264562378779236378870289120093158185411650262098723867801439555756117870226234145495001286794800464274129550800096840818849915433433762229630270327185000146872546560023834219450330785899165046557684367730182101593569271198364489196706811826433480199708646598321898886629413167027651589910048531277612417711010077958882129650976281288910017458705534108042782210410992275325634425787515273521679498354372436207059355870964927646302017103225641792735144849779992809317062620198549740994177725010507154685216830081787652446474145358982112387801267719712706144174419731779910620847837038630549425765959425863556064078599049098596436372102825511175752448006}
19206  13344632993262829744035657936728054585901289033002087058813950531776793: {441209,824009,882326,1282313,1457908,1571366,1800758,2423033,2608888,2612453,2915512,2934999,3174086,3279951,3669509,3744773,4308233,4420709,4670404,4891155,4997126,5217232,5236959,5541509,5672248,5801993,5869386,6234475,6358358,6358853,6381279,6544073,6584726,6590008,6913913,6962703,7262966,7385455,7413759,7481370,7687973,7871753,7980128,8128709,8421893,8568293,8678009,8727355,8862546,8977644,9034552,9116153,9339832,9738758,10163871,10338559,10472826,10507311,10550650,10604453,11081846,11397509,11505353,11506804,11781555,12084472,12115109,12467650,12566992,12651209,12660780,13159538,13504832,13595031,14137866,14248709,14674948,14769370,14883173,14961180,15080006,15192936,15199433,15409913,15655109,15958592,16074533,16182326,16805753,16929268,16938015,17092053,17118053,17254648,17281046,17379268,17395109,17723244,17809733,17913209,17953416,18067216,18338991,18376166,18799340,18813206,19286009,19378168,19411479,19695353,19984312,20069573,20197593,20205413,20325618,20408933,20791855,20984009,21099100,21416308,21489509,21800439,21856358,21892613,22093733,22428293,22478199,22482351,22559208,22708792,22895333,22936358,22995209,23227973,23327609,24385913,24808315,24824248,24911993,24950226,25299686,25305209,25318920,25379109,25547391,25892873,25941206,26316332,26445509,26542793,26856200,26931209,27006848,27230623,27350693,27433046,27833033,27897209,27927279,28070246,28121573,28281593,28313573,28333203,28483785,28601033,28760453,29045752,29237513,29702650,29712773,29769978,29902373,30123209,30213225,30249592,30382704,30402159,30745348,31127753,31159013,31656566,31689209,32062073,32227440,32464709,32557433,32676471,32711813,32989193,33081509,33474111,33633893,34030791,34180542,34366373,34375936,34396793,34454968,34457609,34578758,34589215,34670213,34786406,35003513,35408486,35440450,35456453,35506555,35643180,35667209,35757413,35907593,35968125,36117509,36255870,36356933,36552952,36715109,36854966,37101833,37594760,37605509,38019392,38048009,38366000,38430053,38499446,38601355,38672928,38761839,38900890,39076468,40002533,40089209,40108159,40382404,41009273,41122071,41180873,41437733,41507058,41807609,41963366,42294105,42458693,42528540,42529912,42571493,42607866,42771816,42828088,43161750,43327543,43507044,43636709,43690143,43780358,43981526,43998473,44248133,44386553,44745509,44800503,44828153,44965733,45113712,45295109,45363776,45727759,45787013,45876183,45985286,46011508,46039200,46321626,46438853,46520009,46583606,46681068,46709093,46914591,47112953,47672655,47808713,47846151,47995109,48048293,48118293,48181599,48766358,48854155,48868553,48921209,49022404,49108480,49498313,49655033,49703983,49965112,50045573,50175353,50350125,50408453,50555323,50723650,50752926,50850832,50857023,51034248,51794100,52012075,52065871,52446148,52477193,52728953,52854533,53080073,53603813,53706800,53856326,54144231,54148709,54444293,54567113,54591653,55055299,55183503,55247040,55299833,55426804,55445513,55572700,55663493,55687673,56147955,56210751,56457209,56556758,56624453,56699908,57207186,57297370,57413529,57478373,57760709,57831113,58158713,58298633,58461509,58475755,58601263,58624986,58809209,58924709,58930176,59086073,59430533,59718328,59773193,59887013,59891152,59909753,59940625,60023333,60176486,60182009,60227273,60420150,60503668,60544075,60554486,60700613,60868380,60902393,60969509,61036553,61459493,61896490,61923593,62152920,62248358,62252933,62296709,62414490,62515109,62997446,63659273,63915209,64381433,64448160,64486853,64507913,64760009,64860086,64926272,65045558,65239973,65325370,65385209,65633273,66003209,66105509,66155366,66248393,66296448,66411209,66474808,66521959,66575456,66674693,66687240,66856313,67183119,67377546,67616009,67675493,67754693,67814009,67875346,67912709,67968015,67993526,68207609,68524408,68724758,68744704,68753273,68756844,68985209,69023753,69139193,69271279,69311813,69791650,69922035,69960355,70127609,70170906,70632293,71005690,71020793,71112773,71133056,71145591,71265926,71335455,71446358,71480815,71928750,71931593,72111353,72166646,72188404,72221890,72499216,72504180,72652890,72804773,72905848,72910373,73042056,73468709,73727609,73899209,73984709,74104073,74251204,74275788,74463259,74543993,74554195,74583504,74611193,74654392,74695013,74784159,74897388,74912009,74961893,75023145,75074308,75193733,75243209,75465355,75538553,75603833,75847493,75976709,76072447,76091152,76109752,76504313,76615109,76672479,76724000,76741253,76792358,76851209,76929509,76968326,77089959,77271653,77318009,77337792,77364293,77496416,77533498,77536708,77807993,77841591,77854072,78049913,78182815,78259913,78274853,78349433,78390444,78483173,78720086,78792713,79142153,79444133,79544009,79572473,79735155,79799033,80024688,80037509,80111126,80246009,80384009,80440243,80452709,80457446,80616773,80630393,80657609,80954873,81113331,81148358,81221753,81301193,81419813,81444955,81561618,81655109,81836966,81857503,81939173,82019079,82172313,82269893,82878473,82915109,83012453,83241988,83271955,83420453,83515109,83550473,83667833,83716090,83726213,83749980,83807609,83842373,83900153,83906442,83941048,83952426,83980709,83986191,84321509,84398726,84511433,84522533,84544709,84710009,84737846,84819209,85003013,85050832,85206828,85269113,85555162,85602546,85623471,85664009,85735493,85776978,85997573,86038795,86314500,86534153,86619653,86666268,86666873,86695109,86835209,86899973,86955173,87005016,87183468,87282628,87333509,87439013,87585831,87740153,87748613,87824393,87866213,87916133,87930758,87998693,88096709,88111474,88161413,88166931,88489204,88546553,88607609,88660613,88683209,88817273,88850559,89049209,89155109,89238533,89333312,89341193,89381753,89408633,89425046,89428709,89465034,89481893,89528009,89625509,89676773,89919353,89925413,89937509,90027209,90027774,90097673,90189833,90287608,90302153,90340709,90438053,90511973,90558426,90563813,90579206,90655109,90694853,90927113,91085513,91094009,91150648,91209593,91229573,91235558,91303673,91360133,91389509,91414793,91436153,91484873,91495109,91538633,91583993,91630853,91649093,91670009,91694068,91713509,91725688,91768709,91808009,91869509,91888133,91904009,91930313,91962895,91967609,91991033,92000453,92054393,92068800,92085113,92097893,92111333,92115209,92136953,92139209,92153093,92166533,92177609,92183753,92190053,92190713,92198009,92199113,92200709,92217353,92492404,93028646,93170506,93388939,93819378,94433679,94483204,94643606,95031370,95682186,96030328,96427203,96964780,97514246,97733946,97748152,97880643,97934263,98034232,98206720,98645239,98958970,99590623,99926346,...,3390570001938251098806344228672844070470448703938204825891946338548012289018074505251884459866988858149554707891140784571479797291648130473123869538764667847627893629397520704964045963839147516243452826490520138943324398526732868258216141634485073168748249239978363669404582955276895082104308982560481474837104668518149086662550388141316688658046124156017709811592600656062970714118821779855670930323022331837540465306371025447999740611452628663182085804634064502233798724218982591457365426998515140536602017840409889233634964290392916165886957434880998059632669775977091217622586047745283450670136883895984834338721843134748876519204796025033338276384973554961858088732453619797205590799214572583709366887097010332838821604526142388321385989840146758148737435517607288517580094824537977980709238688450920479762309814360649869588543933616788495543678682186324478986671987562717977404033974089259538710125446378293386602955745179527910571869768843271627562499149456948866310552080230890031100611929724408474896380464614852265498307083704788500689820963845261115204036741400088334463118061824807314640509581605139335289809241566234653574517874149649873778765107644783086031128432329619094758033637752348062446324894876330739322846448477481592492908745984250546749414377951671721734466882263793441632981009076619548869496587930823781613224602147963694267548117786381891054818736562271358376807952406179530543491096245781348764643020273386307397431057657765936257869282162983189550179649398505609830436124333453361247186511307563458398728052640602424799009379300060659068571320342692294096675576176014617764017661427604248318299769879467776731975397190813452793092630597110321211518129226942119585311307345944356968471916298825127144829683779699039336567392258979201265882325509876721700856184363412298883804842397888861527763457389560165755854702845841229746358582505679870957745218923516992709982228554953462608253207275140876593895396140919903650767077197638049719863468353261986394972090212847783752292084982140427442490805302798446498848991737230051156559425836004963877226615022056396116704765521485964453255729293280962786050803095924649810857770868616438473706895305819644412344019065060177615847833021188710206863094754615973249446788154841446628446027447977415159254252548326180648072939097752369531543337313474291709025862761208208403932267122387259391568115263570554287664842537781747815256085569896843568168854568305433680139737278117475393148085801702159333634176805339351218242501930192200696411194326200145261228274873150150643344445405490777500220308819840035751329175496178848747569836526551595273152390353906797546733795060217739650220299562969897482848329944119750541477384865072796916418626566515116938323194476464421933365026188058301162064173315616488412988451638681272910282519247531558654310589033806447391469453025654838462689102717274669989213975593930297824611491266587515760732027825245122681478669711218038473168581701901579569059216261629597669865931271755557945824138648939138795334096117898573647894654558154238266763628672009}
19207  13397489199759358503081857140602704513935124338327596762724568921186748: {19207,1323489,1822385,2186862,2282777,2357049,2551073,2701137,2743169,3241589,3261110,3644390,3913332,4373268,4565078,4642286,4761129,4963217,5485766,5766257,5838005,6521540,6982612,7005606,7090310,7495689,7722689,7825848,7905233,8172353,8237510,8508372,8804079,9214517,9283604,9537537,9877089,9885012,9975160,10573913,10894449,10996118,11222055,11283473,11293190,11674790,11816728,11970192,13069166,13188149,13293819,13466466,13551828,13963768,14009748,14383505,14448902,14608137,15097817,15105590,15593798,15708740,15709239,15808814,15825975,16622769,16748462,16881040,16955897,17092913,17260206,17486273,18126708,18145829,18343685,18701475,18850488,18930449,18991170,19739307,19870193,19948240,20191478,20257248,20538293,21111014,21161585,21206799,21568310,21721217,21724085,21952433,22012422,22154055,22318406,22441770,22584020,22620009,22789404,22885313,23499175,23630992,23937888,24222710,24273489,24341033,24451988,24980390,25393902,25415033,25881972,25921569,26068902,26373542,26373875,26468393,26550017,26584866,26639393,26770385,26930124,27100824,27564249,28029989,28199010,28219809,28385990,29067252,29970932,29976468,30078944,30148097,30488427,30587318,30708326,31030310,31648650,31983833,32124462,32784537,32895415,33266968,33421337,33570250,33758560,33838812,34063188,34182254,34404537,35297366,35354729,35357093,36099926,36307190,36627953,37213673,37236372,37425339,37474577,37777604,37811990,37856942,37949529,37978380,38431685,38791673,38854517,38911809,39474498,39512609,39693304,40284300,40326689,40510272,40536212,41072294,41149569,42105369,42583097,42969920,43068710,43557638,43568628,43719473,44494478,44553975,44632148,44654967,44737589,44930798,45017513,45202889,45374388,45574056,45691190,46118022,46540769,46993450,47435366,47484849,47524240,47673509,47957500,48341160,48845585,49589753,50478005,51270813,51563904,51682452,51868137,52179609,52253537,52404758,52661033,53112729,53160675,53162390,53464770,53535110,53653526,53674853,54383805,54617153,54829428,55282449,55342744,56054102,56392140,56704720,56769473,56810488,57029088,57370553,57514385,57549000,57646193,57749169,58009392,58165457,58253524,58351335,58490693,58614702,58616177,58876169,59734004,59958857,60151616,60277109,60573606,60900089,61168244,61278005,61385600,61762168,61822793,62241424,62260587,62456390,62552788,62831606,62833733,62945049,63251873,63436814,63563540,63792617,63792810,63794868,63911799,64157724,64242132,64649609,64742625,65260566,65322593,65487497,65544758,65557685,65670537,65753798,65972289,66502838,66579758,66596033,67133500,67420646,67670568,67777937,67809364,68045664,68077673,68100089,68120117,68122313,68245166,68452997,68694113,68977929,69017262,69058800,69089189,69283505,69416678,69465875,69482439,69573569,69875409,69910313,70021602,70164833,70706774,70847753,70874885,71260853,72192308,73149537,73448417,73533606,73578004,73662720,73824389,74419478,74647910,74863940,74947668,75427193,75629585,75709766,75837413,76085475,76129389,76276248,76551372,77575214,77691150,77975873,78166648,78573568,78669222,79001657,79756817,80259977,80560200,80678246,80784489,81157840,81899462,82030433,82490609,82870560,83093510,83140206,83219320,83359050,84026537,84522713,84835137,84932069,85049862,85529633,85618697,85655510,85779953,85810779,85930880,85946055,86758313,87159833,87780497,87937479,88395264,88486502,88529777,88650326,88739558,88880609,88916320,89061317,89577492,89836728,90235505,90264729,90396302,90577553,90624020,90630225,90711233,90755502,90831729,91132310,91302570,91675792,92075969,92568809,92814005,92844735,93014873,93229380,93317990,93372537,93561208,93621735,93842885,94358966,94496169,94684814,94860788,95113940,95137190,95498753,95632022,95905000,95994857,96072689,96672240,96695009,96870520,96920885,97011317,97290129,97317590,97389408,97403633,97568337,97598273,97729457,97735958,97876433,97967909,97988055,98224553,98409593,98527094,99034384,99120662,99233049,99444672,99528593,99708497,99712212,99863184,...,4520760002584334798408458971563792093960598271917606434522595118064016385357432673669179279822651810866072943854854379428639729722197507297498492718352890463503858172530027606618727951785530021657937101987360185257765864702310491010954855512646764224997665653304484892539443940369193442805745310080641966449472891357532115550067184188422251544061498874690279748790134208083960952158429039807561240430696442450053953741828033930666320815270171550909447739512086002978398298958643455276487235998020187382136023787213185644846619053857221554515943246507997412843559701302788290163448063660377934226849178527979779118295790846331835358939728033377784368513298073282477451643271493062940787732286096778279155849462680443785095472701523184428514653120195677531649914023476384690106793099383970640945651584601227306349746419147533159451391911489051327391571576248432638648895983416957303205378632119012718280167261837724515470607660239370547429159691791028836749998865942598488414069440307853374800815906299211299861840619486469687331076111606384667586427951793681486938715655200117779284157415766409752854012775473519113719745655421646204766023832199533165038353476859710781374837909772825459677378183669797416595099859835107652430461931303308789990544994645667395665885837268895628979289176351724588843974678768826065159328783907765042150966136197284925690064157048509188073091648749695144502410603208239374057988128327708465019524027031181743196574743543687915010492376217310919400239532531340813107248165777937814996248681743417944531637403520803233065345839066747545424761760456923058795567434901352823685356881903472331091066359839290368975967196254417937057456840796147094948690838969256159447081743127925809291295888398433502859772911706265385782089856345305601687843100679835628934474912484549731845073123197185148703684609852746887674472937127788306328478110007573161276993625231355990279976304739937950144337609700187835458527194854559871534356102930184066293151291137682648526629453617130378336389446642853903256654407070397928665131988982973401542079234448006618502968820029408528155606354028647952604340972391041283714734404127899533081143694491488584631609193741092859216458692086746903487797110694918280275817459672821297665929050873121928837928036597303220212339003397768240864097252130336492708724449751299055612034483681610944538576356163183012522090820351427405716886456717042330420341447426529124757558472757740578240186316370823300524197447735602879111512235740452468290990002573589600928548259101600193681637699830866867524459260540654370000293745093120047668438900661571798330093115368735460364203187138542396728978393413623652866960399417293196643797773258826334055303179820097062555224835422020155917764259301952562577820034917411068216085564420821984550651268851575030547043358996708744872414118711741929855292604034206451283585470289699559985618634125240397099481988355450021014309370433660163575304892948290717964224775602535439425412288348839463559821241695674077261098851531918851727112128157198098197192872744205651022351504896012}
19208  13450553262237530378040406482895677771938708101797694547587799442118167: {882418,1282447,1648018,1764652,2423287,2564626,2650591,2915816,2991007,3142732,3280293,3601516,3782791,4346191,4846066,4891665,5217776,5224906,5466585,5831024,5869998,6348172,6559902,6581791,6847617,6963429,7339018,7489546,7909327,8151925,8228649,8616466,8728265,8841418,9340808,9782310,9994252,10207567,10339637,10434464,10473918,10508409,10635465,10641727,11083018,11344496,11603986,11604505,11738772,12218297,12356265,12468950,12716716,12717706,12762558,12795247,13088146,13169452,13180016,13435687,13827826,13861207,13925406,13967407,14179591,14525932,14770910,14827518,14919967,14962740,15236191,15375946,15743506,15960256,16257418,16494177,16599007,16807591,16843786,16939785,17136586,17356018,17454710,17512185,17725092,17955288,18053047,18069104,18156367,18232306,18362791,18679664,18877591,19477516,19603749,19635925,19697527,20199699,20327742,20677118,20945652,21014622,21101300,21208906,21673353,22129687,22163692,22230127,22430791,22658385,22795018,22931191,23010706,23013608,23230567,23390697,23563110,23713221,23728087,24168944,24230218,24619087,24935300,25122693,25133984,25302418,25321560,25700167,25890309,25895791,26091127,26319076,27009664,27190062,27353791,28230025,28275732,28316791,28486755,28497418,28604287,29082007,29108597,29272591,29349896,29538740,29747791,29766346,29922360,30160012,30287217,30385872,30398866,30410047,30564985,30692791,30819826,30974887,31162591,31310218,31666521,31817287,31917184,32149066,32352465,32364652,32375647,33018633,33477609,33611506,33662655,33668407,33858536,33876030,34184106,34236106,34400791,34509296,34562092,34674247,34731641,34758536,34790218,35446488,35619466,35826418,35906832,36134432,36334065,36391087,36677982,36752332,36838567,37106191,37463665,37470585,37598680,37626412,37728127,38090853,38572018,38610487,38698327,38756336,38822958,39103353,39390706,39560313,39877299,39968624,40007287,40139146,40395186,40410826,40651236,40817866,41300047,41583710,41968018,42198200,42298515,42492007,42576607,42578985,42832616,42979018,43600878,43712716,43785226,43836967,44187466,44419591,44856586,44956398,44964702,44998687,45118416,45417584,45790666,45819847,45872716,45880977,45901567,45990418,46062489,46455946,46545465,46655218,47222005,47472975,48186693,48424901,48771826,48874591,49504447,49616630,49648496,49709177,49823986,49900452,50207527,50355375,50599372,50610418,50637840,50670265,50758218,51094782,51273381,51443047,51785746,51882412,52129927,52509007,52584607,52632664,52735591,52886287,52891018,52946049,53085586,53330629,53635447,53712400,53862418,54013696,54041897,54149889,54460785,54461246,54598591,54701386,54866092,55331191,55476847,55549567,55666066,55694791,55790185,55794418,55854558,56140492,56243146,56272807,56563186,56627146,56666406,56717985,56785413,56967570,57202066,57344167,57520906,58091504,58189591,58475026,59093767,59211747,59405300,59425546,59438287,59539956,59575591,59804746,59917591,59946875,60053887,60246418,60426450,60461047,60499184,60765408,60804318,60919177,61066927,61490696,61532393,61608441,62255506,62318026,62784487,63313132,63378418,63689167,64124146,64454880,64516591,64603065,64705807,64929418,65114866,65336457,65352942,65423626,65580247,65978386,66163018,66741717,66948222,67221913,67267786,67396197,67704607,67764007,68061582,68361084,68395817,68471191,68536785,68732746,68751872,68762791,68793586,68909936,68915218,69052591,69157516,69168007,69177033,69178430,69340426,69572812,69740767,70007026,70490175,70642207,70816972,70880900,70912906,70920127,71013110,71141167,71153049,71286360,71334418,71514826,71579791,71815186,71936250,71959807,72235018,72511740,72656191,72713866,72815167,72816905,72920791,73105904,73430218,73709932,74203666,74667505,74722591,74972791,75189520,75211018,75221191,75565927,75614887,76038784,76052287,76096018,76460305,76531447,76732000,76860106,76998892,77202710,77345856,77523678,77697847,77801780,77971087,78152936,78190985,78286591,78376087,78607137,79454425,79513327,79743585,80005066,80178418,80197155,80216318,80302665,80480289,80642791,80764808,80846191,81327007,81758647,81836191,81866057,82018546,82143487,82244142,82295407,82361746,82394257,82408591,82875466,83014116,83037727,83254807,83326591,83575567,83615218,83751247,83916875,83926732,84081153,84536191,84588210,84761705,84917386,84963007,85057080,85059824,85142986,85215732,85283047,85440367,85543632,85656176,86258791,86323500,86634127,86655086,87014088,87024727,87241591,87273418,87380286,87560716,87712687,87763591,87839407,87922053,87963052,87996946,88184647,88304527,88496266,88538887,88676047,88766047,88773106,89261191,89491018,89504407,89601006,89656306,89699167,89849791,89903801,89931466,89941591,90154567,90227424,90240385,90324127,90454591,90580447,90590218,90727552,90731287,90832591,90860409,91063927,91190287,91309447,91377487,91432207,91455518,91474687,91556191,91574026,91651591,91722727,91752366,91797247,91928791,91948447,91970572,91972505,91991791,92023016,92072791,92078400,92105047,92129887,92165527,92171791,92191447,92193967,92203327,92209591,92228167,92233567,92643252,92877706,93040018,93167212,93362136,93418186,93579925,93684585,93829182,94118341,94225906,94247409,95155221,95345310,95617426,95689215,95692302,95990218,96096586,96236586,96363198,97532716,97708310,97737106,97842418,97890849,97944497,98044808,98216960,98317137,98630697,98996626,99310066,99407966,99754257,99869637,99930224,...,6781140003876502197612688457345688140940897407876409651783892677096024578036149010503768919733977716299109415782281569142959594583296260946247739077529335695255787258795041409928091927678295032486905652981040277886648797053465736516432283268970146337496498479956727338809165910553790164208617965120962949674209337036298173325100776282633377316092248312035419623185201312125941428237643559711341860646044663675080930612742050895999481222905257326364171609268129004467597448437965182914730853997030281073204035680819778467269928580785832331773914869761996119265339551954182435245172095490566901340273767791969668677443686269497753038409592050066676552769947109923716177464907239594411181598429145167418733774194020665677643209052284776642771979680293516297474871035214577035160189649075955961418477376901840959524619628721299739177087867233576991087357364372648957973343975125435954808067948178519077420250892756586773205911490359055821143739537686543255124998298913897732621104160461780062201223859448816949792760929229704530996614167409577001379641927690522230408073482800176668926236123649614629281019163210278670579618483132469307149035748299299747557530215289566172062256864659238189516067275504696124892649789752661478645692896954963184985817491968501093498828755903343443468933764527586883265962018153239097738993175861647563226449204295927388535096235572763782109637473124542716753615904812359061086982192491562697529286040546772614794862115315531872515738564325966379100359298797011219660872248666906722494373022615126916797456105281204849598018758600121318137142640685384588193351152352029235528035322855208496636599539758935553463950794381626905586185261194220642423036258453884239170622614691888713936943832597650254289659367559398078673134784517958402531764651019753443401712368726824597767609684795777723055526914779120331511709405691682459492717165011359741915490437847033985419964457109906925216506414550281753187790792281839807301534154395276099439726936706523972789944180425695567504584169964280854884981610605596892997697983474460102313118851672009927754453230044112792233409531042971928906511458586561925572101606191849299621715541737232876947413790611639288824688038130120355231695666042377420413726189509231946498893576309682893256892054895954830318508505096652361296145878195504739063086674626948583418051725522416416807864534244774518783136230527141108575329685075563495630512171139793687136337709136610867360279474556234950786296171603404318667268353610678702436485003860384401392822388652400290522456549746300301286688890810981555000440617639680071502658350992357697495139673053103190546304780707813595093467590120435479300440599125939794965696659888239501082954769730145593832837253133030233876646388952928843866730052376116602324128346631232976825976903277362545820565038495063117308621178067612894782938906051309676925378205434549339978427951187860595649222982533175031521464055650490245362957339422436076946337163403803159138118432523259195339731862543511115891648277297878277590668192235797147295789309116308476533527257344018}
19209  13503825992224653262309960849011108633184732771495742468838545348601695: {38414,1323627,2205815,2472027,2551339,2646978,3241927,3586847,3644770,3846939,3928415,4373724,4501895,4565554,4714098,5102146,5402274,5486338,6483178,6522220,7269099,7288780,7826664,7837359,7935215,8173207,8639807,8746536,8804997,9130156,9284572,9447359,9522258,9839853,9926434,10137227,10971532,11008527,11234319,11532514,11676010,12421211,12492815,12777719,12924699,13043080,13262127,13965224,14011212,14180620,14673465,14991378,15445378,15651696,15710877,15810466,15895895,16344706,16461815,16475020,16624527,17016744,17244239,17405979,17608158,18157415,18429034,18567208,18703425,19075074,19076559,19143837,19632219,19754178,19770024,19950320,20136907,20689259,20741739,20888109,21147826,21788898,21954727,21992236,22156365,22241277,22444110,22566946,22586380,22756271,23063919,23079047,23349580,23615259,23633456,23940384,24346895,24386127,25265679,25681159,25704879,26034027,26138332,26182065,26376298,26376625,26587638,26932932,27046279,27103656,27348459,27704615,27927536,28019496,28767010,28897804,29216274,29626219,30195634,30211180,30413719,30491613,31015677,31169125,31187596,31417480,31418478,31482919,31521933,31617628,31651950,31813359,32716031,32898845,33245538,33496924,33762080,33911794,34185826,34192527,34516059,34520412,34959947,34972546,35344665,36253416,36291658,36345327,36650759,36687370,36846167,36923425,37353259,37402950,37478539,37700015,37700976,37860898,37953627,37982340,39478614,39516751,39740386,39896480,40382956,40455815,40514496,40785093,41076586,41175167,42222028,42323170,42413598,42746127,43136620,43202615,43442434,43448170,43904866,44024844,44308110,44636812,44649519,44883540,45168040,45240018,45578808,45598299,45770626,45940415,46053581,46229739,46953419,46965327,46998350,47033015,47261984,47875776,48223599,48445420,48546978,48682066,48903976,49570727,49843211,49960780,50313691,50417259,50787804,50814045,50830066,51276159,51354159,51763944,51843138,52137804,52185327,52312667,52747084,52747750,52936786,53100034,53169732,53278786,53429199,53540770,53739627,53804359,53860248,54201648,54640895,55002727,55016973,55128498,55882391,56059978,56398020,56439618,56771980,57340895,57376567,57856559,57858027,58134504,58234437,58472447,59086059,59183519,59941864,59952936,60157888,60208719,60296194,60592779,60616239,60976854,61174636,61226799,61416652,61696247,62060620,62375565,62952027,63249215,63297300,63967666,64248924,64434151,64468527,64838539,64853015,65239799,65371951,65401317,65569074,65677839,65790830,66281199,66533936,66842674,67140500,67284879,67434597,67447053,67517120,67677624,68126376,68127319,68364508,68383819,68582615,68685999,68809074,68985627,69580927,69619271,69683919,69982827,70175615,70594732,70669207,70709458,70714186,71022727,72199852,72614380,72671959,73157739,73255906,74256625,74395211,74424945,74427179,74427346,74472744,74735979,74850678,74949154,75003787,75096599,75555208,75623980,75652727,75713884,75899058,75915627,75956760,76086811,76137327,76642173,76863370,77583346,77678619,77709034,77823618,77984047,78948996,79025218,79141415,79336527,79386608,79536799,79628379,79782359,79921931,80520139,80568600,80653378,80793627,81020544,81072424,81691869,82052079,82144588,82232951,82299138,82621279,82913567,83499099,83691627,83781837,83902127,84210738,84364719,84844779,84940719,84999609,85166194,85451355,85789207,85803099,85939840,86137420,86281359,86446895,86966015,87115276,87137256,87438946,87712539,88521215,88601125,88988956,89107950,89138319,89264296,89309934,89475178,89707119,89861596,90035026,90337847,90369627,90405778,90639675,90748776,91148112,91206477,91382380,91780759,91893511,92079959,92137415,92236044,92601311,93081538,93266479,93383259,93477039,93986900,94135919,94870732,94969698,95048480,95067627,95347018,95915000,96186219,96221147,96248615,96682320,96996907,97252225,97394127,97413931,97672299,97691170,98029413,98135439,98630411,98634191,98967579,98984939,99179506,99224839,99244527,99539119,99890479,...,10171710005814753296419032686018532211411346111814614477675839015644036867054223515755653379600966574448664123673422353714439391874944391419371608616294003542883680888192562114892137891517442548730358479471560416829973195580198604774648424903455219506244747719935091008213748865830685246312926947681444424511314005554447259987651164423950065974138372468053129434777801968188912142356465339567012790969066995512621395919113076343999221834357885989546257413902193506701396172656947774372096280995545421609806053521229667700904892871178748497660872304642994178898009327931273652867758143235850352010410651687954503016165529404246629557614388075100014829154920664885574266197360859391616772397643717751128100661291030998516464813578427164964157969520440274446212306552821865552740284473613933942127716065352761439286929443081949608765631800850365486631036046558973436960015962688153932212101922267778616130376339134880159808867235538583731715609306529814882687497448370846598931656240692670093301835789173225424689141393844556796494921251114365502069462891535783345612110224200265003389354185474421943921528744815418005869427724698703960723553622448949621336295322934349258093385296988857284274100913257044187338974684628992217968539345432444777478726237952751640248243133855015165203400646791380324898943027229858646608489763792471344839673806443891082802644353359145673164456209686814075130423857218538591630473288737344046293929060820158922192293172973297808773607846488949568650538948195516829491308373000360083741559533922690375196184157921807274397028137900181977205713961028076882290026728528043853292052984282812744954899309638403330195926191572440358379277891791330963634554387680826358755933922037833070905415748896475381434489051339097118009702176776937603797646976529630165102568553090236896651414527193666584583290372168680497267564108537523689239075747517039612873235656770550978129946685664860387824759621825422629781686188422759710952301231592914149159590405059785959184916270638543351256876254946421282327472415908395339496546975211690153469678277508014891631679845066169188350114296564457893359767187879842888358152409287773949432573312605849315421120685917458933237032057195180532847543499063566130620589284263847919748340364464524339885338082343932245477762757644978541944218817293257108594630011940422875127077588283624625211796801367161778174704345790711662862994527613345243445768256709690530704506563704916301040419211834352426179444257405106478000902530416018053654727505790576602089233582978600435783684824619450451930033336216472332500660926459520107253987526488536546242709509579654785819457171061720392640201385180653218950660898688909692448544989832359251624432154595218390749255879699545350814969583429393265800095078564174903486192519946849465238965354916043818730847557742594675962931767101419342174408359076964515388067308151824009967641926781790893473834473799762547282196083475735368044436009133654115419505745105704738707177648784888793009597793815266673837472415946817416386002288353695720943683963674462714800290886016027}
19210  13557308204393717301151234324438059788882905670978164899142528510146095: {57621,556249,900661,1015321,1358869,1701769,1764836,2499349,2564894,2613001,3293401,3296036,3406549,3529304,3745561,3970467,4758709,4846574,4983061,5129252,5301182,5467155,5542681,5831632,5877589,5982014,6285464,6560586,6848331,7071147,7203032,7565582,7653219,8103411,8152775,8229507,8643289,8692382,8752981,8972149,9110975,9191029,9518809,9692132,9724767,9783330,10435552,10449812,10933170,11039881,11412695,11471881,11605715,11662048,11739996,12219571,12696344,13119804,13163582,13695234,13714415,13926858,14283387,14675161,14678036,14886409,14889651,14979092,15413269,15728521,15818654,16147849,16246307,16303850,16457298,17191129,17232932,17298771,17398921,17456530,17514015,17682836,17725775,17813641,18536629,18681616,19256089,19564620,19767829,19988504,20415134,20593775,20679274,20785909,20868928,20947836,20988661,21016818,21270930,21283454,21998101,22098649,22166036,22487067,22688992,23100169,23168067,23207972,23209010,23299609,23399221,23477544,23598229,23715699,24436594,24490201,24517059,24712530,24937900,25376341,25433432,25435412,25525116,25590494,26176292,26256649,26338904,26360032,26412237,26871374,27421321,27490295,27643551,27655652,27722414,27850812,27903541,27934814,28192009,28232975,28359182,28383961,28612611,28767001,29051864,29186975,29541820,29631267,29655036,29839934,29925480,30098569,30287641,30472382,30751892,31487012,31696501,31721739,31920512,32514836,32534041,32672915,32683347,32719369,32988354,33198014,33615182,33666165,33687572,33850419,33879570,34100149,34273172,34465621,34712036,34829941,34909420,35024370,35450184,35735701,35910576,36095989,36106094,36122255,36138208,36312734,36464612,36725582,37359328,37755182,37763975,38409781,38497801,38955032,38984495,39024409,39207498,39271850,39395054,39461269,39522035,39564447,39881457,40069849,40329589,40399398,40655484,40674901,41019061,41354236,41871155,41891304,42029244,42202600,42417812,42468889,42790979,42891349,43059829,43150515,43346706,43824411,43981321,44064661,44259374,44327384,44460254,44861582,44976649,45293451,45316770,45590036,45634441,45798169,45862382,46021412,46027216,46461134,46774489,46781394,47126220,47127717,47419609,47426442,47456174,47477925,48060121,48337888,48460436,48933301,49238174,49719541,49868307,49870600,50187829,50245386,50267968,50421001,50478695,50604836,50643120,50867691,51270421,51278739,51347209,51400334,51780618,51791582,51882709,52182254,52449131,52458819,52638152,52777535,52792501,52867849,53840821,53915161,53920775,54019328,54359689,54380124,54437487,54507289,54707582,55031055,55313941,55459669,55796015,55967449,56104425,56460050,56551464,56633582,56791347,56901109,56973510,56994836,57208574,58164014,58173781,58217194,58523161,58545182,58699792,58940041,59077480,59147509,59217921,59491849,59495582,59532692,59610579,59834389,59844720,59970901,60243061,60320024,60556775,60574434,60771744,60797732,60820094,61129970,61385582,61386889,61614879,61639652,61653001,61719349,61949774,62247541,62313241,62325182,62450975,62575321,62620436,63027107,63333042,63483529,63484755,63612121,63620397,63634574,63676309,63804469,63834368,64298132,64704930,64729304,64751294,65132761,65163651,65172255,65692309,65754121,65815861,65857299,65933855,66037266,66110807,66123481,66462165,66955218,67035541,67223012,67325310,67336814,67694089,67717072,67752060,67860027,67931401,68086139,68108629,68368212,68402569,68472212,68655939,68801582,69018592,69042901,69124184,69158389,69348494,69463282,69517072,69580436,70015369,70497525,70744981,70892976,70938371,70964975,71077621,71238932,71517109,71652836,71813664,71857907,71995391,72268864,72435721,72668130,72782174,72820467,73023099,73355964,73504664,73541749,73677134,73697161,73748821,73800409,74006041,74159509,74212382,74413849,74927330,74941170,75197360,75252824,75413209,75456254,75560629,75658549,76143829,76181706,76245099,76468295,76669321,76770815,77092789,77144036,77220974,77325529,77396654,77512672,77575775,77645916,77764707,77876761,78103381,78106259,78206706,78372949,78506761,78781412,79120626,79121625,79122649,79405179,79444079,79596661,79650051,79754598,79893769,79918179,79937248,79978009,80014574,80278292,80311155,80477401,80682421,80790372,80821652,81046921,81127129,81246901,81302472,81326389,81405589,81445081,81635732,81913369,82600094,82692747,82744969,82929109,83002261,83038729,83167420,83219989,83925625,83927029,83936036,84030601,84089967,84396400,84572041,84597030,84659427,84737461,84984014,85153214,85157970,85191061,85254709,85318069,85381141,85455635,85537561,85665232,85958036,85996021,86026009,86610649,86864341,86975221,87201756,87425432,87538441,87570452,87673934,87946249,88143241,88191769,88243415,88374932,88592629,88729141,88839182,89059081,89144329,89473801,89513689,89713172,89803669,89912796,89929404,89969881,89997374,90041881,90059701,90236832,90249815,90368149,90384601,90444291,90481801,90713461,90767975,90835168,90873049,91037209,91128181,91239961,91264009,91402249,91465281,91519861,91530121,91580341,91581332,91638229,91639694,91711381,91745432,91761954,91803134,91828309,91843861,91888789,91924249,91937929,91957909,91980836,92069401,92087699,92094421,92124978,92151049,92176501,92201269,92204041,92221429,92235289,92236981,92243029,92248969,92250841,92255701,92911892,93090930,93310436,94444010,94529975,94642355,94945950,95951499,96373386,96849802,97375031,97543652,97749182,98353611,98686245,99008894,99233260,99296992,99418354,99647972,99800904,...,13562280007753004395225376914691376281881794815752819303567785354192049156072298021007537839467955432598218831564563138285919189166592521892495478155058671390511574517590082819856183855356590064973811305962080555773297594106931473032864566537940292674992996959913454677618331821107580328417235930241925899348418674072596346650201552565266754632184496624070839246370402624251882856475287119422683721292089327350161861225484101791998962445810514652728343218536258008935194896875930365829461707994060562146408071361639556934539857161571664663547829739523992238530679103908364870490344190981133802680547535583939337354887372538995506076819184100133353105539894219847432354929814479188822363196858290334837467548388041331355286418104569553285543959360587032594949742070429154070320379298151911922836954753803681919049239257442599478354175734467153982174714728745297915946687950250871909616135896357038154840501785513173546411822980718111642287479075373086510249996597827795465242208320923560124402447718897633899585521858459409061993228334819154002759283855381044460816146965600353337852472247299229258562038326420557341159236966264938614298071496598599495115060430579132344124513729318476379032134551009392249785299579505322957291385793909926369971634983937002186997657511806686886937867529055173766531924036306478195477986351723295126452898408591854777070192471145527564219274946249085433507231809624718122173964384983125395058572081093545229589724230631063745031477128651932758200718597594022439321744497333813444988746045230253833594912210562409699196037517200242636274285281370769176386702304704058471056070645710416993273199079517871106927901588763253811172370522388441284846072516907768478341245229383777427873887665195300508579318735118796157346269569035916805063529302039506886803424737453649195535219369591555446111053829558240663023418811383364918985434330022719483830980875694067970839928914219813850433012829100563506375581584563679614603068308790552198879453873413047945579888360851391135009168339928561709769963221211193785995395966948920204626237703344019855508906460088225584466819062085943857813022917173123851144203212383698599243431083474465753894827581223278577649376076260240710463391332084754840827452379018463892997787152619365786513784109791909660637017010193304722592291756391009478126173349253897166836103451044832833615729068489549037566272461054282217150659370151126991261024342279587374272675418273221734720558949112469901572592343206808637334536707221357404872970007720768802785644777304800581044913099492600602573377781621963110000881235279360143005316701984715394990279346106206381092609561415627190186935180240870958600881198251879589931393319776479002165909539460291187665674506266060467753292777905857687733460104752233204648256693262465953651953806554725091641130076990126234617242356135225789565877812102619353850756410869098679956855902375721191298445965066350063042928111300980490725914678844872153892674326807606318276236865046518390679463725087022231783296554595756555181336384471594294591578618232616953067054514688036}
19211  13611000716575500728898159166384133689020913241949636623613271224012211: {19211,76828,2206045,2647254,3088141,3587221,3847341,4008829,4120045,4239001,4411630,4944054,5102678,5293956,5499781,6302653,6411565,6483854,7173694,7269861,7289540,7693878,7799341,7856830,7951773,8747448,8973021,9003790,9061261,9131108,9428196,9840879,10098901,10204292,10210681,10558813,10804548,10972676,11109301,11348373,12049753,12115165,12422509,12842269,12966356,13038573,13044440,13062265,13658941,14538198,14577560,14674995,14679613,15653328,15674718,15870430,16346414,16399755,16616149,17246041,17279614,17489941,17493072,17609994,18260312,18347545,18569144,18723865,18894718,19044516,19272973,19679706,19745373,19852868,20274454,20542851,20691421,20890287,21541165,21943064,22017054,22103545,22254253,22468638,22758649,23046541,23065028,23352020,23725141,23727981,23729161,23866333,24325669,24455775,24685947,24842422,24985630,25420381,25555438,25794229,25849398,26086160,26184795,26524254,26644981,27478429,27707545,27930448,28022424,28361240,29009965,29346930,29465461,29982756,30622701,30890756,31018911,31172375,31224589,31303392,31421754,31525227,31620932,31791790,31794265,31906395,31925181,32689412,32720365,32923630,32950040,33249054,33825049,34033488,34085653,34133341,34488478,34569565,34719253,34811958,34813515,34972309,35216316,36314830,36654601,36654891,36858068,36927275,37068795,37134416,37406850,37496281,38150148,38153118,38287674,38385741,38439865,38643541,38786461,39264438,39358765,39508356,39540048,39900640,39937909,40273814,40307061,40643545,40962613,41316301,41378518,41483478,41583621,41593189,41776218,41902221,42109465,42295652,42538773,42841465,43390045,43577796,43636775,43909454,43984472,44312730,44339101,44482554,44759901,44888220,45133892,45172760,45512542,45580765,45708573,46058383,46127838,46158094,46699160,46958341,47230518,47266912,47375581,47831053,47880768,48661561,48693790,48772254,49482531,49797021,50260309,50422773,50531358,50809753,50819355,51362318,51409758,51692795,52068054,52276664,52364130,52536555,52734901,52752596,52753250,52780021,53022265,53175276,53865864,54092558,54159141,54207312,54469101,54696918,55088373,55409230,55855072,55888249,56038992,56632773,56638141,56987545,56988973,57526765,57534020,57795608,58432548,58478629,58503001,58811247,58888621,58905613,58907775,59092581,59252438,59736349,60029701,60289753,60391268,60422360,60483661,60575545,60599097,60827438,60983226,61824061,62031354,62338250,62342281,62375192,62489113,62834960,62836956,62965838,63043866,63235256,63256045,63265141,63303900,63626718,64316581,64663213,64953061,65020059,65432062,65797690,65846221,66115501,66389061,66491076,66690381,66993848,67292373,67524160,67823588,67975155,68371652,68385054,68702029,68720941,68793573,68954629,69032118,69040824,69103801,69626569,69691701,69919894,69945092,70172091,70689330,71139663,71184261,71243545,71275801,71824381,72374749,72506832,72583316,72690654,73015333,73301518,73374740,73692334,73846850,73857261,74415865,74434981,74706518,74805900,74957078,75368079,75400030,75401952,75721796,75853321,75907254,75964680,75997165,76497253,77049565,77100501,77670927,77687373,78260053,78273381,78275545,78957228,78964729,79033502,79480772,79792960,79883773,79930309,80277253,80372665,80765912,80911630,81028992,81570186,82061373,82112701,82153172,82173253,82350334,82631149,83336749,83931493,84028765,84444056,84646340,84690075,84827196,84950373,85460265,85492254,85590265,85812861,86273240,86405230,86884868,86896340,86975545,87246021,87325791,87809732,87817773,87904189,87921613,88049688,88548901,88616220,88899253,89048665,89080153,89243373,89273624,89299038,89566045,89767080,89948473,90336080,90347401,90480036,90730261,90794221,90861651,90980821,91157616,91196598,91230141,91402861,91541252,91694955,91880830,92078373,92107162,92459478,92924661,93380893,93487773,93906838,93930654,93996700,94066030,94221061,94523968,94999563,95368153,95451861,95751552,96015661,96126829,96430045,96447198,96498553,96890840,97057395,97093956,97126941,97364132,97807952,97988761,98245861,98430301,98476765,99055899,99141454,99686422,99736249,99857053,99921560,...,20343420011629506592838065372037064422822692223629228955351678031288073734108447031511306759201933148897328247346844707428878783749888782838743217232588007085767361776385124229784275783034885097460716958943120833659946391160397209549296849806910439012489495439870182016427497731661370492625853895362888849022628011108894519975302328847900131948276744936106258869555603936377824284712930679134025581938133991025242791838226152687998443668715771979092514827804387013402792345313895548744192561991090843219612107042459335401809785742357496995321744609285988357796018655862547305735516286471700704020821303375909006032331058808493259115228776150200029658309841329771148532394721718783233544795287435502256201322582061997032929627156854329928315939040880548892424613105643731105480568947227867884255432130705522878573858886163899217531263601700730973262072093117946873920031925376307864424203844535557232260752678269760319617734471077167463431218613059629765374994896741693197863312481385340186603671578346450849378282787689113592989842502228731004138925783071566691224220448400530006778708370948843887843057489630836011738855449397407921447107244897899242672590645868698516186770593977714568548201826514088374677949369257984435937078690864889554957452475905503280496486267710030330406801293582760649797886054459717293216979527584942689679347612887782165605288706718291346328912419373628150260847714437077183260946577474688092587858121640317844384586345946595617547215692977899137301077896391033658982616746000720167483119067845380750392368315843614548794056275800363954411427922056153764580053457056087706584105968565625489909798619276806660391852383144880716758555783582661927269108775361652717511867844075666141810831497792950762868978102678194236019404353553875207595293953059260330205137106180473793302829054387333169166580744337360994535128217075047378478151495034079225746471313541101956259893371329720775649519243650845259563372376845519421904602463185828298319180810119571918369832541277086702513752509892842564654944831816790678993093950423380306939356555016029783263359690132338376700228593128915786719534375759685776716304818575547898865146625211698630842241371834917866474064114390361065695086998127132261241178568527695839496680728929048679770676164687864490955525515289957083888437634586514217189260023880845750254155176567249250423593602734323556349408691581423325725989055226690486891536513419381061409013127409832602080838423668704852358888514810212956001805060832036107309455011581153204178467165957200871567369649238900903860066672432944665001321852919040214507975052977073092485419019159309571638914342123440785280402770361306437901321797377819384897089979664718503248864309190436781498511759399090701629939166858786531600190157128349806972385039893698930477930709832087637461695115485189351925863534202838684348816718153929030776134616303648019935283853563581786947668947599525094564392166951470736088872018267308230839011490211409477414355297569777586019195587630533347674944831893634832772004576707391441887367927348925429600581772032054}
19212  13664904349770721959218180519848726718245118101081600260458006405577860: {96035,115242,556307,594611,1112498,1359011,1397147,1801322,2030642,2499611,2651147,2717738,3403538,3444611,3529672,3783587,3970881,4009211,4422107,4534547,4998698,5129788,5226002,5543267,5915387,6586802,6592072,6617445,6657227,6813098,7026947,7058608,7416081,7491122,7654017,7690427,7874267,7940934,8241347,8680787,9111925,9337787,9517418,9693148,9725781,9738011,9966122,10101011,10258504,10602364,10760541,10934310,11085362,11413885,11509067,11540817,11663264,11755178,11785245,11964028,12226427,12476747,12570928,12755365,12798011,13118627,13121172,13296467,13505685,13696662,13715845,13864211,14041211,14142294,14182667,14253347,14406064,14923211,15131164,15306438,15765227,15977773,16184507,16206822,16207945,16248001,16305550,16459014,16672211,17286578,17384764,17505962,17919107,17944298,18221950,18382058,18435587,18573011,18744611,19037618,19200181,19292387,19384264,19394867,19449534,19566660,19770011,19804067,20313947,20788211,20822027,20871104,20899624,20990987,21126011,21807297,21866340,22000547,22079762,22134611,22825390,22943762,23002907,23102747,23136011,23211430,23302211,23324096,23335427,23479992,23512077,23634011,23805645,24295211,24439142,24492947,24519621,24816085,25313747,25392688,25411907,25771211,25919421,26239608,26292107,26327164,26414991,26551787,27069611,27263267,27390468,27424427,27428830,27853716,28342077,28387187,28566774,28831285,29190025,29350322,29356072,29519559,29659667,29772818,29779302,29958184,30102011,30133547,30411681,30417011,30826538,31457042,31513211,31637308,31700147,32290211,32295698,32445011,32492614,32568707,32607700,32914596,33025581,33092987,33702957,34012547,34382258,34465864,34469627,34597542,34797842,34864307,34913060,35028030,35227427,35365672,35451550,35627282,35769947,36130187,37073258,37114907,37263633,37363232,37478445,38333157,38443667,38486413,38512178,38613445,38619611,38774097,39029027,39058211,39129240,39378707,39495011,39526165,39535658,39786381,39977008,40074611,40103507,40190147,40830268,40861765,41187550,41358548,41571818,41737856,41895672,41977322,42033636,42078011,42332747,42502211,42541860,42566908,42896507,43093067,43317227,43996202,44014427,44020395,44197298,44332072,44347307,44485667,44844467,44974134,45009611,45377984,45742081,45831011,45967211,46072585,46200338,46336134,46415944,46418020,46537067,46599218,46645211,46798442,46955088,47022707,47132631,47196458,47431398,47687685,47826347,48145787,48873188,48886667,48939347,48980402,49034118,49385445,49425060,49873581,49875800,50064227,50220011,50571157,50752682,50866864,50870824,51050232,51180988,51507011,51732717,51914627,52217937,52352584,52496987,52513298,52677808,52720064,52799147,52824474,52869565,52899611,53624147,53742748,54472245,54538787,54578293,54842642,54980590,55287102,55311304,55330849,55345307,55393907,55444828,55491011,55701624,55807082,55854011,55869628,55998707,56110275,56119067,56384018,56417365,56465950,56574611,56717867,56718364,56767922,57051011,57225222,57229677,57406211,57431511,57534002,57618467,57853547,58103728,58111211,58204667,58373950,58619617,58809011,58896657,59083640,59155211,59178227,59262534,59293187,59310072,59499611,59679868,59850960,59978747,60197138,60205667,60410721,60575282,60944764,60993587,61060667,61417211,61503784,61661147,61860011,62067777,62080211,62225217,62277707,62387147,62605427,62664327,62974024,63363107,63393002,63443478,63513467,63706211,63834347,63841024,63940907,64004747,65029672,65068082,65079011,65345830,65366694,65438738,65598011,65864181,65940745,65976708,66009611,66336587,66396028,66469095,66723831,67044707,67125011,67230364,67332330,67375144,67425011,67700838,67703387,67723211,67759140,67841987,67999907,68200298,68268813,68431547,68529107,68546344,68704211,68931242,69071747,69110267,69187211,69191757,69237141,69424072,69659882,69818840,69855011,70025147,70048740,70213427,70307267,70419611,70670173,70773467,70845777,70900368,71417747,71471402,71600027,71821152,71917525,72191978,72212188,72244510,72276416,72625468,72676907,72929224,73040685,73158381,73451164,73552307,73569611,73811027,73888549,74016707,74424611,74486581,74693987,74718656,74844611,74994587,75276107,75424211,75440627,75489085,75510364,75527950,75571667,75588011,75669611,75797037,75929387,76096273,76696427,76819562,76932347,76995602,77043477,77114637,77352467,77398787,77721011,77797211,77888387,77910064,77968990,78048818,78102081,78114421,78399611,78414996,78543700,78546195,78563027,78790108,78922538,78930827,79044070,79128894,79129875,79480307,79651427,79762914,79920011,80074187,80139698,80420987,80465437,80659178,80694827,80749211,80798796,80871107,81138837,81153011,81310968,81349802,81352211,81497147,81732227,81926147,82038122,82045377,82131011,82308587,82434467,82459547,82572011,82708472,82954427,83064011,83113845,83233187,83590427,83672747,83742310,83782608,83836211,83882627,84021107,84058488,84181211,84283307,84351011,84405200,84418427,84585707,84779485,84784067,84835624,84860507,84922981,84937778,85012211,85215587,85268627,85279211,85332011,85464565,85489211,85581958,85782698,85838867,86010227,86119658,86301030,86691467,86693412,86738627,86999027,87181187,87431365,87457211,87553307,87648822,87759611,87936347,87962642,88129322,88215011,88518748,88654768,88729547,88797011,88878657,88920508,88973747,89117507,89306507,89368211,89476307,89536211,89723164,89819747,89863427,89949611,89953298,89986067,90323627,90351467,90390107,90471587,90498347,90586902,90633540,90644507,90705227,90729145,90875747,90894611,91054211,91098011,91180072,91208147,91224611,91241157,91261187,91268882,91308947,91419611,91452587,91474839,91477787,91547627,91591307,91596338,91597907,91659011,91718425,91724764,91808747,91833011,91869467,91909211,91958267,91964987,92028227,92042824,92051507,92054432,92068211,92087747,92112827,92140547,92169611,92170907,92188211,92205011,92241011,92244611,92254787,92257547,92259107,92262011,92269907,92272211,92307397,92922268,93047031,93507375,93548978,93562788,93888457,94252440,94255434,94448757,94565799,94652245,94839218,94852884,94912348,94955850,95440077,96120242,96675776,96920872,97866602,98148093,98476348,98696535,99350965,99439082,99736614,99741200,...,30515130017444259889257098058055596634234038335443843433027517046932110601162670547266960138802899723345992371020267061143318175624833174258114825848882010628651042664577686344676413674552327646191075438414681250489919586740595814323945274710365658518734243159805273024641246597492055738938780843044333273533942016663341779962953493271850197922415117404159388304333405904566736427069396018701038372907200986537864187757339229031997665503073657968638772241706580520104188517970843323116288842986636264829418160563689003102714678613536245492982616913928982536694027983793820958603274429707551056031231955063863509048496588212739888672843164225300044487464761994656722798592082578174850317192931153253384301983873092995549394440735281494892473908561320823338636919658465596658220853420841801826383148196058284317860788329245848826296895402551096459893108139676920310880047888064461796636305766803335848391129017404640479426601706615751195146827919589444648062492345112539796794968722078010279905507367519676274067424181533670389484763753343096506208388674607350036836330672600795010168062556423265831764586234446254017608283174096111882170660867346848864008885968803047774280155890966571852822302739771132562016924053886976653905618036297334332436178713858254920744729401565045495610201940374140974696829081689575939825469291377414034519021419331673248407933060077437019493368629060442225391271571655615774891419866212032138881787182460476766576879518919893426320823539466848705951616844586550488473925119001080251224678601768071125588552473765421823191084413700545931617141883084230646870080185584131559876158952848438234864697928915209990587778574717321075137833675373992890903663163042479076267801766113499212716247246689426144303467154017291354029106530330812811392940929588890495307705659270710689954243581580999753749871116506041491802692325612571067717227242551118838619706970311652934389840056994581163474278865476267889345058565268279132856903694778742447478771215179357877554748811915630053770628764839263846982417247725186018489640925635070460409034832524044674895039535198507565050342889693373680079301563639528665074457227863321848297719937817547946263362057752376799711096171585541598542630497190698391861767852791543759245021093393573019656014247031796736433288272934935625832656451879771325783890035821268625381232764850873875635390404101485334524113037372134988588983582840035730337304770129071592113519691114748903121257635503057278538332772215319434002707591248054160964182517371729806267700748935801307351054473858351355790100008649416997501982779378560321761962579465609638728128528738964357458371513185161177920604155541959656851982696066729077345634969497077754873296463785655172247767639098636052444908750288179797400285235692524710458577559840548395716896064748131456192542673227784027888795301304258026523225077230893546164201924455472029902925780345372680421503421399287641846588250427206104133308027400962346258517235317114216121532946354666379028793381445800021512417247840452249158006865061087162831051891023388144400872658048081}
19213  13719019928162238103869880108558122541751447777618412729577853781927814: {19213,38422,153656,172863,1668747,2701983,3045963,3088463,4009247,4076607,4239443,4412090,4737707,5105307,5294508,5768063,6176282,6412235,7174442,7498047,7694682,7839003,8017658,8240090,8478002,8823260,8976191,9217403,9880203,9888108,10205356,10219647,10587912,10708763,10999562,11236683,11287007,11911401,12116435,12605306,12823130,12843611,12967708,13252955,13467371,14276127,14347388,14539722,14579080,14681147,14949183,14955035,15177227,15387756,15598682,15713660,15903546,16401465,16628043,16961231,17494896,17632767,17946042,18007580,18122522,18262216,18287171,18856392,18913955,19274987,19637267,19681758,20197802,20408584,20421362,20544993,21117626,21213441,21609096,21730955,21945352,22218602,22696746,22959657,23868827,24099506,24230330,24310233,24328211,24458325,24688521,24845018,25512287,25684538,25686563,25929867,25932712,26077146,26088880,26124530,26201291,26213411,26258943,26520827,26916447,27317882,27332925,27573087,28038803,28556427,29076396,29155120,29174301,29349990,29359226,30157631,30944963,31306656,31349436,31489523,31643711,31740860,32474507,32692828,32799510,32908955,33119643,33232298,34238085,34415643,34492082,34559228,34817145,34979882,34986144,35219988,35368211,36157811,36520624,36658713,36695090,36901787,37138288,37447730,37789436,38089032,38545946,38790563,38803871,39359412,39490746,39546635,39705736,40339403,40356107,40548908,40613951,40759625,40966907,41085702,41143245,41169971,41382842,41780574,42850161,43082330,43641325,43886128,44025483,44034108,44207090,44508506,44511971,44659227,44668953,44937276,45217103,45517298,45808511,46093082,46130056,46239807,46555487,46704040,47185563,47199347,47450282,47455962,47458322,47732666,47792987,47836067,48397391,48443547,48651338,48738921,48911550,49155587,49371894,49684844,49971260,50840762,51037835,51110876,51573387,51588458,51698185,51698796,51896313,52172320,52196763,52369590,52542045,53048508,53177325,53208635,53289962,53440923,53691731,53815811,54956858,55102271,55415090,55609887,55860896,55989323,56044848,56722480,56787371,56900963,56994947,57768267,58019930,58022525,58693860,58894847,58930922,58939007,58953251,59303487,59398547,59742611,59965512,59978051,60746063,60906047,60919247,61091485,61245402,61781325,61781512,62037822,62344750,62357727,62449178,62606784,62843508,62853491,62965983,63050454,63241864,63583580,63588530,63812790,63813071,63850362,63976235,64447667,65378824,65385707,65440730,65847260,65900080,65994303,66295947,66498108,66798707,67178435,67461201,67650098,68066976,68121503,68171306,68266682,68474531,68976956,69111107,69139130,69300507,69306035,69438506,69504201,69595643,69623916,69627030,69676667,69837035,69898827,69944618,70197663,70432632,70794687,70870031,70897955,71147097,71926643,72369913,72629660,72687203,73022987,73309202,73309782,73470603,73551177,73716136,73847603,73854550,74137590,74231171,74268832,74599835,74813700,74992562,75450911,75494171,76129023,76180955,76300296,76306236,76575348,76771482,76879730,77287082,77366111,77572922,78528876,78717530,78769947,79016712,79080096,79134467,79236711,79553483,79782563,79801280,79875818,79892147,80528387,80537471,80547628,80614122,81193307,81287090,81925226,82181867,82263963,82470885,82632602,82639811,82757036,82816667,82930653,82966956,82995035,83167242,83186378,83552436,83710623,83804442,84037955,84218930,84549707,84576027,84591304,84698925,84805763,84958787,85077546,85151883,85645631,85682930,85837833,86301003,86780090,86935571,87155592,87273550,87560925,87818908,87968944,88558463,88625460,88678202,88893801,88965108,89084111,89089571,89519802,89776440,90265235,90267784,90295707,90345520,90781835,90862923,90990443,91025084,91161530,91417146,91813955,91912787,92105087,92116766,92255676,92316188,93286043,93398320,93916682,94387955,94461036,94533824,94751162,95089503,95165217,95662106,95761536,96546347,97042283,97323122,97387580,97544508,97602123,97907291,98018745,98050041,98158107,98179625,98487635,98834627,98965062,99560171,99594042,99740963,...,40686840023259013185676130744074128845645384447258457910703356062576147468216894063022613518403866297794656494693689414857757567499777565677486434465176014171534723552770248459568551566069770194921433917886241667319892782320794419098593699613820878024978990879740364032854995463322740985251707790725777698045256022217789039950604657695800263896553489872212517739111207872755648569425861358268051163876267982050485583676452305375996887337431543958185029655608774026805584690627791097488385123982181686439224214084918670803619571484714993990643489218571976715592037311725094611471032572943401408041642606751818012064662117616986518230457552300400059316619682659542297064789443437566467089590574871004512402645164123994065859254313708659856631878081761097784849226211287462210961137894455735768510864261411045757147717772327798435062527203401461946524144186235893747840063850752615728848407689071114464521505356539520639235468942154334926862437226119259530749989793483386395726624962770680373207343156692901698756565575378227185979685004457462008277851566143133382448440896801060013557416741897687775686114979261672023477710898794815842894214489795798485345181291737397032373541187955429137096403653028176749355898738515968871874157381729779109914904951811006560992972535420060660813602587165521299595772108919434586433959055169885379358695225775564331210577413436582692657824838747256300521695428874154366521893154949376185175716243280635688769172691893191235094431385955798274602155792782067317965233492001440334966238135690761500784736631687229097588112551600727908822855844112307529160106914112175413168211937131250979819597238553613320783704766289761433517111567165323854538217550723305435023735688151332283621662995585901525737956205356388472038808707107750415190587906118520660410274212360947586605658108774666338333161488674721989070256434150094756956302990068158451492942627082203912519786742659441551299038487301690519126744753691038843809204926371656596638361620239143836739665082554173405027505019785685129309889663633581357986187900846760613878713110032059566526719380264676753400457186257831573439068751519371553432609637151095797730293250423397261684482743669835732948128228780722131390173996254264522482357137055391678993361457858097359541352329375728981911051030579914167776875269173028434378520047761691500508310353134498500847187205468647112698817383162846651451978110453380973783073026838762122818026254819665204161676847337409704717777029620425912003610121664072214618910023162306408356934331914401743134739298477801807720133344865889330002643705838080429015950105954146184970838038318619143277828684246881570560805540722612875802643594755638769794179959329437006497728618380873562997023518798181403259878333717573063200380314256699613944770079787397860955861419664175274923390230970378703851727068405677368697633436307858061552269232607296039870567707127163573895337895199050189128784333902941472177744036534616461678022980422818954828710595139555172038391175261066695349889663787269665544009153414782883774735854697850859201163544064108}
19214  13773348279127290096066842957730997168040849368165446652920399895944292: {57633,134449,192070,230484,594673,1112614,1189222,1397293,2224996,2424049,2718022,2794294,3105313,3602644,4061284,4572493,4999222,5302294,5435476,6618135,6807076,6889222,7059344,7567174,7911853,7941762,8018422,8571949,8844214,9069094,9264423,9775393,9997396,10259576,10452004,10753549,10761663,11029075,11086534,11542023,11725873,11830774,12026487,12263533,12360135,12478093,12717003,12756695,12799393,13173604,13184144,13234890,13314454,13546573,13626196,13971949,14053894,14117216,14502049,14832162,14982244,15308034,15380854,15748534,15881868,15979439,16209635,16482694,16499343,16604449,17361574,17857511,17934235,18058993,18162349,18223850,18675574,18780973,18907959,19034836,19202183,19234695,19386296,19451562,19476022,19642075,19704049,19806253,19932244,20202022,20214349,20517008,20824333,21128353,21204728,21521082,21633613,21809583,21868620,22170724,22237549,22509475,22691123,22827770,23018134,23081634,23138593,23326528,23338033,23398023,23510356,23570490,23855319,23928056,24452854,24953494,25141856,25316593,25510730,25529911,25596022,25806733,26237254,26242344,26592934,26919063,27011370,27072673,27183783,27393324,27431690,27728422,28082422,28284588,28365334,28506694,28812128,29187313,29522637,29846422,30136993,30262328,30296703,30514849,30612876,30632043,31079473,31530454,31676439,31828273,31955546,32369014,32413644,32415890,32479693,32496002,32611100,32918028,33327903,33344422,34045119,34573156,34595233,34742519,34769528,35011924,35838214,35888596,36149259,36345495,36443900,36493549,36764116,36851533,36871174,37146022,37267527,37475233,37489222,37741453,38075236,38183713,38400362,38526807,38584774,38712049,38768528,38789734,38799853,38899068,39062833,39115719,39133320,39186795,39540022,39608134,39676075,39934753,40108273,40363799,40627894,40866035,40976823,41314849,41400493,41576422,41644054,41742208,41799248,41981974,42083053,42252022,42591949,43199035,43614594,43732680,43852849,44001094,44024985,44038839,44159524,44269222,45508849,45650780,45887524,45918349,46000033,46005814,46205494,46272022,46407373,46422860,46604422,46648192,46650913,46670854,46959984,47024154,47236795,47268022,47611290,48590422,48878284,48985894,49039242,49199265,49632170,49848447,50627494,50686135,50785376,50823814,51000973,51542422,51738123,51838842,52469823,52479216,52528813,52584214,52604449,52654328,52680013,52829982,53103574,53655793,54058823,54139222,54526534,54780936,54848854,54857660,55042635,55336631,55570849,55707432,55861153,56171595,56294449,56366413,56581873,56684154,56774374,57082093,57133548,57206471,57662570,57818919,58380050,58700644,58712144,58839793,59039118,59185933,59236119,59319334,59545636,59558604,59804449,59916368,60204022,60213553,60267094,60823362,60834022,61091053,61158049,61628553,61653076,61890253,62074263,62106055,62464075,62548333,62670861,62914084,63026422,63069613,63274616,63393073,63400294,63888595,64416049,64501619,64580422,64591396,64623495,64794913,64890022,64985228,65137414,65215400,65668849,65829192,66039073,66051162,66185974,66310635,66762759,66832333,67242967,67405914,67434253,67732513,67791949,67851313,68025094,68275947,68764516,68931728,68939254,69023473,69139623,69195084,69312013,69595684,69728614,69826120,70056060,70448173,70454854,70731344,70903100,71005453,71175423,71183943,71187483,71254564,71539894,71598999,72044449,72260374,72977007,73367325,73580173,74017391,74057841,74146516,74229814,74527266,74654449,74726464,74956890,75451633,75599053,75648049,76085773,76261143,76422193,76612849,76666314,76887334,76972826,77024356,77037613,77226890,77239222,77317549,77382687,77548194,78058054,78116422,78258480,78554385,78722593,78757414,78984311,78990022,79052330,79071316,79479475,79549549,79572762,79592353,79762849,79934943,79954016,80142253,80149222,80207014,80350513,80380294,80761633,81004849,81660536,81723530,81757933,81835693,82309075,82334113,82375100,82420063,82435287,82717096,83113549,83122635,83143636,83473549,83475712,83615533,83686093,83791344,83861233,83954644,84067272,84156022,84206113,84308173,84375853,84543793,84643693,84665494,84808753,85004422,85083720,85133816,85293133,85791949,85793014,86186134,86221195,86389549,86534449,86634454,86705953,87029895,87204913,87392653,87992404,88009549,88028854,88040790,88350253,88394596,88396383,88608049,88664144,88694614,88722349,88744993,88971334,89472049,89591713,89688934,89766349,89879533,89931959,89948268,90019222,90026413,90220849,90373453,90614833,90721933,90755968,90781549,90787075,90939553,90981133,91128049,91204513,91372849,91484162,91495213,91537549,91578733,91662022,91784653,91850893,91868103,91889953,91934422,92040433,92145170,92160493,92189473,92224753,92250349,92252833,92264173,92294413,92317043,92400676,92672268,92831888,92836040,93056733,93074134,93198436,93290422,93517125,93596884,93673767,93910176,94045414,94147819,94265262,94392916,94575681,94862796,95375370,95382795,95652694,95719185,95775543,96291574,97746376,97773334,97878694,97960804,98068236,98161095,98770890,98850120,99747162,99751600,...,61030260034888519778514196116111193268468076670887686866055034093864221202325341094533920277605799446691984742040534122286636351249666348516229651697764021257302085329155372689352827349104655292382150876829362500979839173481191628647890549420731317037468486319610546049282493194984111477877561686088666547067884033326683559925906986543700395844830234808318776608666811809133472854138792037402076745814401973075728375514678458063995331006147315937277544483413161040208377035941686646232577685973272529658836321127378006205429357227072490985965233827857965073388055967587641917206548859415102112062463910127727018096993176425479777345686328450600088974929523989313445597184165156349700634385862306506768603967746185991098788881470562989784947817122641646677273839316931193316441706841683603652766296392116568635721576658491697652593790805102192919786216279353840621760095776128923593272611533606671696782258034809280958853203413231502390293655839178889296124984690225079593589937444156020559811014735039352548134848363067340778969527506686193012416777349214700073672661345201590020336125112846531663529172468892508035216566348192223764341321734693697728017771937606095548560311781933143705644605479542265124033848107773953307811236072594668664872357427716509841489458803130090991220403880748281949393658163379151879650938582754828069038042838663346496815866120154874038986737258120884450782543143311231549782839732424064277763574364920953533153759037839786852641647078933697411903233689173100976947850238002160502449357203536142251177104947530843646382168827401091863234283766168461293740160371168263119752317905696876469729395857830419981175557149434642150275667350747985781807326326084958152535603532226998425432494493378852288606934308034582708058213060661625622785881859177780990615411318541421379908487163161999507499742233012082983605384651225142135434454485102237677239413940623305868779680113989162326948557730952535778690117130536558265713807389557484894957542430358715755109497623831260107541257529678527693964834495450372036979281851270140920818069665048089349790079070397015130100685779386747360158603127279057330148914455726643696595439875635095892526724115504753599422192343171083197085260994381396783723535705583087518490042186787146039312028494063593472866576545869871251665312903759542651567780071642537250762465529701747751270780808202970669048226074744269977177967165680071460674609540258143184227039382229497806242515271006114557076665544430638868005415182496108321928365034743459612535401497871602614702108947716702711580200017298833995003965558757120643523925158931219277456257057477928714916743026370322355841208311083919313703965392133458154691269938994155509746592927571310344495535278197272104889817500576359594800570471385049420917155119681096791433792129496262912385085346455568055777590602608516053046450154461787092328403848910944059805851560690745360843006842798575283693176500854412208266616054801924692517034470634228432243065892709332758057586762891600043024834495680904498316013730122174325662103782046776288801745316096162}
19215  13827890233249794595219872307538953397406978475171815050641111715905044: {38426,76844,288105,307312,345726,1668921,1783833,2781245,3337494,4077033,4191441,4503305,4738201,4852793,5076605,5403966,5543309,6091926,6176926,6794345,7498833,7953441,8018494,8153214,8478886,8508845,8642513,8824180,8977129,9475414,9904169,10210614,10333833,10589016,11350761,11536126,11912643,12027633,12352564,12496745,12781721,12824470,13065005,13266321,13352429,13603641,14348884,14996094,15178813,15389364,15678006,16035316,16111037,16467005,16480180,16629801,16956004,16963009,17032745,17457473,17646520,17746161,17952382,18434806,18554137,18727805,19196417,19760406,19776216,19852335,19971681,20410712,20439294,20937049,21080841,21175824,21417526,21999124,22248243,22473366,22574014,22962051,23071281,23330441,23622801,23793545,23822802,24232870,24724041,24915305,25210612,25514953,25646260,25687222,25935416,26042361,26086457,26204029,26479537,26505910,26934742,27335775,27484193,27713405,28013361,28552254,28694776,29079444,29158160,29177343,29214033,29362294,29387945,29898366,29910070,30303033,30354454,30423337,30775512,31197364,31224593,31427320,31807092,32281623,32802930,33256086,33922462,34241655,34527201,34622451,34970969,34989792,35265534,35355735,35892084,36015160,36215993,36245044,36524432,36574342,36679281,37397113,37430241,37712784,37827910,38266095,38394033,38549974,39274534,39355881,39363516,39529177,39889401,39946313,40395604,40517055,40763875,40817168,40842724,41089986,41147535,41549933,41592633,42123633,42235252,42238289,42426882,42548001,42760041,43216445,43218192,43461910,43764905,43890704,44437204,44769633,44860745,45393492,45554875,45919314,45955145,46013497,46072537,47295681,47594045,47693581,47737654,47933319,48199012,48460660,48553521,48620466,48623835,48656422,48744003,48916650,49377042,49586321,49690036,50016633,51024574,51369076,51373126,51859734,51865424,52154292,52177760,52249060,52402582,52426822,52517886,53041654,53563169,53757321,53832894,54029009,54635764,54665850,55020121,55146174,55199405,55306761,55365289,55719033,56077606,56233833,56482621,57063475,57112854,57359405,57394609,57600543,57877161,58028575,58152792,58184601,58310240,58348602,58699980,58718452,59202137,59310033,59412201,60315262,60925633,60941841,60950153,61097855,61889926,62364633,62466081,62502221,62613312,62698872,62972961,62979046,63287422,63378033,63481720,63634349,64949014,65385656,65421891,65599020,65817910,66001641,66239286,66403833,66464596,68476170,68481709,68572075,68831286,68984164,69008721,69118456,69308241,69408033,69603001,69634290,69906633,69959764,69972288,70006281,70439976,70536231,70736422,70902033,71416935,71452969,72315622,72377459,72885633,73041248,73317426,73375805,73390180,73478841,73558863,73803574,74276576,74432045,74448255,74492089,74895460,75578872,75941241,76178064,76235721,76905277,77030417,77066345,77091892,77313633,77581126,77607742,77758263,78008569,78276521,78642605,78718824,78876321,78981293,78981492,79093270,79244973,79411472,79655361,79807457,80388601,80678806,80712214,80739245,80846849,81097816,81208833,81227902,81231535,81519250,81789801,81933814,82171404,82258877,82273281,82286490,82339942,82765684,82940033,83471393,83561148,83928521,84456601,84967693,85026231,85161561,85528079,85654609,85700322,85955645,86164660,86493855,86994605,87282650,87570075,87772256,88050966,88068216,88414180,88558677,88628875,88979001,89002793,89017012,89023942,89068205,89318454,89337906,89520649,89566729,89874552,89967341,90306033,90366509,90400641,90434206,91034596,91235043,91251033,91617022,92186164,92260112,92479614,92683145,93110974,93400481,93408080,94049809,94371126,94398694,94539633,94900564,94911924,94916644,95045753,95100441,95388221,95465332,95585974,95672134,96146993,96280445,96794782,96870633,96887094,97028449,97302676,97335033,97477842,97706121,97771849,97823100,98311174,98743788,98839145,99076743,99257137,99278961,99369688,99570697,99922381,99942520,...,91545390052332779667771294174166789902702115006331530299082551140796331803488011641800880416408699170037977113060801183429954526874499522774344477546646031885953127993733059034029241023656982938573226315244043751469758760221787442971835824131096975556202729479415819073923739792476167216816342529132999820601826049990025339888860479815550593767245352212478164913000217713700209281208188056103115118721602959613592563272017687095992996509220973905916316725119741560312565553912529969348866528959908794488254481691067009308144035840608736478947850741786947610082083951381462875809823289122653168093695865191590527145489764638219666018529492675900133462394285983970168395776247734524550951578793459760152905951619278986648183322205844484677421725683962470015910758975396789974662560262525405479149444588174852953582364987737546478890686207653289379679324419030760932640143664193385389908917300410007545173387052213921438279805119847253585440483758768333944187477035337619390384906166234030839716522102559028822202272544601011168454291260029289518625166023822050110508992017802385030504187669269797495293758703338762052824849522288335646511982602040546592026657906409143322840467672899715558466908219313397686050772161660929961716854108892002997308536141574764762234188204695136486830605821122422924090487245068727819476407874132242103557064257995019745223799180232311058480105887181326676173814714966847324674259598636096416645361547381430299730638556759680278962470618400546117854850533759651465421775357003240753674035805304213376765657421296265469573253241101637794851425649252691940610240556752394679628476858545314704594093786745629971763335724151963225413501026121978672710989489127437228803405298340497638148741740068278432910401462051874062087319590992438434178822788766671485923116977812132069862730744742999261249613349518124475408076976837713203151681727653356515859120910934958803169520170983743490422836596428803668035175695804837398570711084336227342436313645538073632664246435746890161311886294517791540947251743175558055468922776905211381227104497572134024685118605595522695151028669080121040237904690918585995223371683589965544893159813452643838790086173257130399133288514756624795627891491572095175585303558374631277735063280180719058968042741095390209299864818804806877497969355639313977351670107463805876143698294552621626906171212304456003572339112116404965766950748520107191011914310387214776340559073344246709363772906509171835614998316645958302008122773744162482892547552115189418803102246807403922053163421575054067370300025948250992505948338135680965285887738396828916184385586216893072375114539555483533761812466625878970555948088200187232036904908491233264619889391356965516743302917295908157334726250864539392200855707077574131375732679521645187150688194244394368577628019683352083666385903912774079569675231692680638492605773366416089708777341036118041264510264197862925539764751281618312399924082202887038775551705951342648364598839063999137086380144337400064537251743521356747474020595183261488493155673070164433202617974144243}
19216  13882646624332682850495328422517653280457981515363727261335300908097643: {57639,96055,115266,268898,384140,460968,518589,1015639,1130263,1189346,2225228,2378444,2613823,2794586,3407623,4449992,4848098,4872463,5006241,5096743,5436044,5588588,5990983,6210626,6547543,7205288,7875943,8105949,8122568,8316439,8755783,9137889,9144986,9265389,9412639,9998444,10604588,10870952,11030225,11151583,12027741,12229821,12550903,12718329,13236270,13614152,13778444,14118688,14213121,14256439,15134348,15315921,15440705,15823706,15838639,15883524,16036844,16257823,16988623,17143898,17300743,17304189,17688428,17859373,17923039,17936105,18138188,18528846,19236705,19550786,19876543,19994792,20044145,20519152,20600225,20904008,21195005,21507098,21523326,22058150,22106023,22173068,22494141,22607863,22693489,22908103,23084046,23407063,23451746,23517009,23661548,24052974,24527066,24720270,24956186,25090063,25107929,25384903,25434006,25483039,25513390,25532573,25598786,26347208,26363023,26368288,26469780,26628908,26928573,27093146,27252392,27498905,27527263,27652209,27943898,28107788,28234432,28297663,28489543,28776823,29004098,29640609,29664324,29729743,29964488,30171713,30298039,30616068,30658941,30761708,31497068,31513265,31707439,31763736,31958878,32057825,32126289,32419270,32730703,32965388,32998686,33208898,33710049,33861021,34723148,34842103,35715022,35734203,35868470,35928583,36117986,36324698,36349305,36447700,37351148,37561946,37815918,37982023,38069672,38404366,38469390,38511439,38530833,38772592,38903124,38952044,38996705,39284150,39388039,39408098,39612506,39758865,39864488,40257439,40402113,40404044,40428698,41034016,41648666,42256706,42399439,42409456,42828381,43042164,43267226,43327663,43619166,43737240,44043441,44080639,44341448,44413423,44475098,44847549,44865105,44993023,45018950,45306305,45382246,45531681,45655540,45814903,46036268,46163268,46277186,46653056,46676066,46796046,47020712,47140980,47276143,47710638,47856112,48157639,48634783,48905708,48951439,49204395,49816303,49884129,49906988,50206543,50283712,50494505,50633186,50883693,51021460,51053405,51059822,51192044,51366463,51613466,51978463,52474508,52484688,52794065,52887823,52898301,53185868,53838126,53861263,53935639,54022740,54145346,54367566,54380383,54601783,54786648,54861513,54863380,55408039,55456844,55546505,56164844,56569176,56730668,56741865,57013388,57212449,57624256,57633343,57824961,58374626,58615639,58911801,58963039,59045274,59692844,59926183,60062623,60248765,60266743,60273986,60478649,60524656,60575825,60593406,60740503,61029698,61225752,61264086,61634979,61743823,62112545,62158946,62338039,62403703,63060908,63352878,63640323,63656546,63701863,63911092,64211345,64530223,64656583,64738028,64827288,64831780,64908439,64959386,64992004,65192865,65222200,65311325,65780863,65836056,65842639,66131513,66150439,66395383,66655806,66688844,66699943,67063039,67959439,68018623,68090238,68294705,68878971,69129439,69146312,69190466,69485038,69539056,70023848,70044703,70774783,70830439,70960589,71162863,71437903,71606481,71676428,71777192,71880413,72298518,72690990,72887800,72930699,72984633,72987098,73374975,73398065,73528232,73703066,73742348,73780639,73832263,74038039,74065563,74292044,74496823,74535054,74749183,74950466,74978444,75482906,75495463,75593743,76150472,76367426,76536861,76560703,76800724,76986439,77053614,77059689,77169548,77173783,77424098,77537056,77579468,77599706,77789601,77798136,78125666,78183583,78231438,78266640,78373590,78408223,78586639,78603873,78640233,78776829,79080044,79202023,79216268,79352150,79468961,79504423,79562481,79675639,79869506,79930303,80098639,80216546,80514439,80727598,80749341,81084463,81124639,81255788,81364183,81482983,81522439,81732070,81953646,81998775,82485439,82629698,82719261,82800986,83041639,83078143,83080745,83152844,83288108,83484416,83598496,83793103,83963948,83967343,84071023,84116409,84166106,84310423,84445639,84504044,84811543,85183898,85232743,85391503,85579639,85610743,85669281,85765889,86038639,86068663,86230205,86398070,86654023,86739343,86908039,86948477,87019063,87210583,87229188,87449705,87465360,87522903,87583039,87705698,87865783,87941383,88002188,88049970,88077678,88115263,88213039,88319048,88538444,88775503,89019439,89105983,89127439,89444033,89521423,89851903,90108439,90179143,90434023,90450439,90472893,90763639,90778543,91017698,91301560,91315663,91351303,91582639,91633039,91737725,91775048,91836698,91897639,91905343,92000066,92011628,92091823,92116541,92154463,92214439,92260303,92275639,92293783,92295439,92301343,92308903,92313223,92410988,92544044,92814746,92834889,92845720,93208844,93296384,93301826,93341708,93619325,93919968,94048308,94468569,94473590,94536044,94931133,95222580,96364865,97180844,97405529,97423521,97756568,97971788,98078484,98398530,98726865,99264340,99358929,99696894,...,122060520069777039557028392232222386536936153341775373732110068187728442404650682189067840555211598893383969484081068244573272702499332697032459303395528042514604170658310745378705654698209310584764301753658725001959678346962383257295781098841462634074936972639221092098564986389968222955755123372177333094135768066653367119851813973087400791689660469616637553217333623618266945708277584074804153491628803946151456751029356916127990662012294631874555088966826322080416754071883373292465155371946545059317672642254756012410858714454144981971930467655715930146776111935175283834413097718830204224124927820255454036193986352850959554691372656901200177949859047978626891194368330312699401268771724613013537207935492371982197577762941125979569895634245283293354547678633862386632883413683367207305532592784233137271443153316983395305187581610204385839572432558707681243520191552257847186545223067213343393564516069618561917706406826463004780587311678357778592249969380450159187179874888312041119622029470078705096269696726134681557939055013372386024833554698429400147345322690403180040672250225693063327058344937785016070433132696384447528682643469387395456035543875212191097120623563866287411289210959084530248067696215547906615622472145189337329744714855433019682978917606260181982440807761496563898787316326758303759301877165509656138076085677326692993631732240309748077973474516241768901565086286622463099565679464848128555527148729841907066307518075679573705283294157867394823806467378346201953895700476004321004898714407072284502354209895061687292764337654802183726468567532336922587480320742336526239504635811393752939458791715660839962351114298869284300551334701495971563614652652169916305071207064453996850864988986757704577213868616069165416116426121323251245571763718355561981230822637082842759816974326323999014999484466024165967210769302450284270868908970204475354478827881246611737559360227978324653897115461905071557380234261073116531427614779114969789915084860717431510218995247662520215082515059357055387929668990900744073958563702540281841636139330096178699580158140794030260201371558773494720317206254558114660297828911453287393190879751270191785053448231009507198844384686342166394170521988762793567447071411166175036980084373574292078624056988127186945733153091739742503330625807519085303135560143285074501524931059403495502541561616405941338096452149488539954355934331360142921349219080516286368454078764458995612485030542012229114153331088861277736010830364992216643856730069486919225070802995743205229404217895433405423160400034597667990007931117514241287047850317862438554912514114955857429833486052740644711682416622167838627407930784266916309382539877988311019493185855142620688991070556394544209779635001152719189601140942770098841834310239362193582867584258992525824770170692911136111555181205217032106092900308923574184656807697821888119611703121381490721686013685597150567386353001708824416533232109603849385034068941268456864486131785418665516115173525783200086049668991361808996632027460244348651324207564093552577603490632192324}
19217  13937618289410286701295526196003518935803552386843126715724760970919205: {76852,153688,172899,403347,480175,576210,614624,691452,1784019,2781535,2973055,3337842,3567666,3893743,4191879,4853299,5543887,5562490,5735119,6195463,6304627,6674988,6795055,6985735,7107247,7272147,8154066,8382882,9006610,9064099,9315939,9476402,9512083,9705586,10153210,10213879,10807932,11086618,11704927,11912383,12053527,12183852,12353852,12498055,13255735,13588690,13663219,13717479,14003767,14105443,14923303,14997666,15906882,16036988,16302607,16306428,16957772,17017690,17222143,17223055,17285026,17495443,17648360,17954258,18291007,18917935,18950828,19198423,19808338,19847143,19854405,20046055,20421228,20631559,20667666,21178032,21454819,22110535,22672735,22701522,23053807,23072252,23332879,23735559,23825286,23845843,24055266,24705128,24993490,25563442,25648940,25679503,25715847,26089183,26130010,26218927,26532642,26653363,26704858,27207282,27716335,27793269,27885523,28697768,28736983,29033863,29326179,29576935,29992188,30357626,30778728,31356012,32070632,32104159,32222074,32260647,32284989,32481319,32934010,32960360,33087225,33259602,33286135,33310963,33912008,33926018,34065490,34626069,34881427,34914946,35134735,35177619,35293040,35492322,35904764,36079461,36666127,36790599,36869612,37080405,37108274,37152103,37434279,37455610,38151009,38270085,38392834,38398179,38452135,38798767,39371335,39520812,39552432,39704670,39943362,40364599,40639719,40821424,40878588,41143123,41178607,41192503,41206735,41329327,41741143,41874098,41915847,42161682,42351648,42466663,42800719,42835052,43403935,43506147,43576759,43998248,44496486,44946732,45148028,45559625,45924102,46142562,46660882,46688935,46973107,47209279,47245602,47390563,47587090,47645604,47938317,48256183,48465740,48627799,48628905,48690055,49448082,49498029,49591519,49813347,49830610,50421224,50505055,51029906,51292520,51374444,51870832,52084722,52172914,52408058,52751527,52959074,53011820,53572533,53802705,53869484,54176979,54487047,54671550,54968386,55426810,55905823,56026722,56342919,56723877,57069425,57104508,57389552,57545335,57606549,57704085,58158888,58316320,58354686,58428066,58724588,58775890,58926225,59112147,59208343,59418759,59796732,59820140,60308719,60385363,60503023,60606066,60643047,60708908,60846674,60956599,61132135,61270867,61551024,61722223,62383735,62394728,62449186,62472999,62805043,62854640,63285043,63301927,63385059,63614184,63776825,63821923,63990055,64280383,64337203,64563246,64900839,65428749,65593135,65605860,66482335,66512172,66631663,66712647,66812719,67528425,67844924,68073369,68483310,68579225,68742607,69054402,69244902,69321055,69415779,69648463,69941938,69947383,69979584,70014099,70194069,70206055,70531068,70711470,70913335,71120743,71266735,71298223,71347219,71565957,71784168,71984803,72030320,72031999,72431986,72490088,73048864,73148684,73216807,73358562,74458387,74616055,74794226,74860482,75425568,75510007,75655820,75689623,75877183,75949779,76053043,76532190,76589733,76788066,77099948,77279167,77420199,77675023,78549068,78711762,78727032,78826135,79058354,79151119,79778802,79815823,79888865,79892626,79955443,80303167,80545279,80757189,80791208,80922535,81034110,81039725,81218019,81240005,81527750,81551349,81634336,81685448,82179972,82295070,82834039,83099866,83185266,83361055,83363023,83655703,83937319,84247266,84345439,84470504,84476578,84567703,84853764,85096002,85520082,85536997,86092819,86432890,86436384,86589283,86648143,86923820,86953807,87529810,87561939,87781408,87931903,88567911,88874408,88927219,89415799,89539266,89595535,89721490,90358243,90376063,90410979,90520543,90758803,90786984,90890109,91009687,91109750,91544547,91838628,91896129,91910290,92026994,92145074,92177935,92640823,92865055,93238419,93723055,94251223,94591362,95029317,95188090,95387162,95458099,95475308,95484819,95866638,96000905,96398024,96461935,96566599,96921320,96974335,97107042,97240932,97247670,97312844,97439079,97488006,97833300,98020039,98675719,98754084,98850055,98855359,99020335,99172642,99380072,99983709,...,183090780104665559335542588348333579805404230012663060598165102281592663606976023283601760832817398340075954226121602366859909053748999045548688955093292063771906255987466118068058482047313965877146452630488087502939517520443574885943671648262193951112405458958831638147847479584952334433632685058265999641203652099980050679777720959631101187534490704424956329826000435427400418562416376112206230237443205919227185126544035374191985993018441947811832633450239483120625131107825059938697733057919817588976508963382134018616288071681217472957895701483573895220164167902762925751619646578245306336187391730383181054290979529276439332037058985351800266924788571967940336791552495469049101903157586919520305811903238557973296366644411688969354843451367924940031821517950793579949325120525050810958298889176349705907164729975475092957781372415306578759358648838061521865280287328386770779817834600820015090346774104427842876559610239694507170880967517536667888374954070675238780769812332468061679433044205118057644404545089202022336908582520058579037250332047644100221017984035604770061008375338539594990587517406677524105649699044576671293023965204081093184053315812818286645680935345799431116933816438626795372101544323321859923433708217784005994617072283149529524468376409390272973661211642244845848180974490137455638952815748264484207114128515990039490447598360464622116960211774362653352347629429933694649348519197272192833290723094762860599461277113519360557924941236801092235709701067519302930843550714006481507348071610608426753531314842592530939146506482203275589702851298505383881220481113504789359256953717090629409188187573491259943526671448303926450827002052243957345421978978254874457606810596680995276297483480136556865820802924103748124174639181984876868357645577533342971846233955624264139725461489485998522499226699036248950816153953675426406303363455306713031718241821869917606339040341967486980845673192857607336070351391609674797141422168672454684872627291076147265328492871493780322623772589035583081894503486351116110937845553810422762454208995144268049370237211191045390302057338160242080475809381837171990446743367179931089786319626905287677580172346514260798266577029513249591255782983144190351170607116749262555470126560361438117936085482190780418599729637609613754995938711278627954703340214927611752287396589105243253812342424608912007144678224232809931533901497040214382023828620774429552681118146688493418727545813018343671229996633291916604016245547488324965785095104230378837606204493614807844106326843150108134740600051896501985011896676271361930571775476793657832368771172433786144750229079110967067523624933251757941111896176400374464073809816982466529239778782713931033486605834591816314669452501729078784401711414155148262751465359043290374301376388488788737155256039366704167332771807825548159139350463385361276985211546732832179417554682072236082529020528395725851079529502563236624799848164405774077551103411902685296729197678127998274172760288674800129074503487042713494948041190366522976986311346140328866405235948288486}
19218  13992806068760771893437783526764288276837953823180107586455133516905591: {96065,115278,134477,192110,211277,230532,537796,709697,768280,864315,921936,1037178,1168577,1511981,1854737,2031278,2260526,2378692,2500397,2614097,2651981,2841281,3181517,3445697,4450456,4535981,4756888,5006763,5134637,5227646,5351499,5589172,5805677,6585281,6770381,6815246,7139981,7913537,8097197,8343735,8646977,8899984,9121997,9340781,9696196,9744926,10012482,10193486,10213037,10394177,10872088,11177176,11188817,11728397,11981966,12231099,12421252,12552257,12574323,12980417,13095086,13509915,13974977,14045777,14214603,14410576,14558379,15103937,15229815,15419981,15442315,15751886,16085057,16211898,16245136,16608077,16629927,16632878,16677677,16990481,17511566,17648717,18275778,18289972,18530778,18544781,18825278,19059281,19401281,19708397,19776557,19878737,19996888,20046235,20383035,20422481,21133037,21197215,21209176,21616987,21741904,22060450,22108481,22141997,22242497,22303166,22496499,22610381,22943981,23110481,23243537,23409677,23688535,23741357,23860323,24055482,24402317,24459642,24632897,25101806,25110547,25387757,25420481,25436658,25526535,25927539,26105837,26268497,26398481,26472540,26755277,26931387,27228304,27369281,27530381,27556888,28061803,28237376,28332881,28426242,28492781,28512878,28524737,28780097,28840315,29257517,29673007,29712507,29764781,29922881,30112337,30174859,30268696,30427457,30521837,30631842,30881410,31001499,31149197,31368017,31647412,31677278,31767048,31835597,32061175,32073688,32394317,32515646,32549057,32919617,33977246,34052283,34115981,34237997,34287796,34601486,34603277,34608378,34846157,34876481,35376856,35657479,35662097,35718746,35737929,35846078,35872210,36082899,36112877,36276376,36561857,37057692,37490235,37543277,37986497,38015981,38345163,38473410,38498467,38633297,38721197,38867537,39101572,39195015,39479981,39596237,39753086,39798963,39989584,40057287,40088290,40204481,40810923,41038304,41200450,41210381,41467457,41808016,42390010,42602177,43014196,43046652,44002577,44116300,44118571,44197037,44212046,44346136,44446481,44584781,44880955,44988282,45025997,45163457,45215726,45386978,45519917,45536439,45816206,45847757,45929537,45984017,46087015,46168092,46472897,46743377,46814126,46903492,47034018,47039981,47323096,47550017,48105948,48243281,48333111,48667217,49054132,49401015,49440540,49691981,49889403,49912372,50180126,50215858,50238737,50769806,50868012,50889027,50966078,51026780,51065146,51098235,51197572,51475217,52010381,52372419,52516781,52694416,52726046,52736576,52894481,52919597,52939560,53238483,53257816,53270381,53543815,53857146,54186292,54485777,54504784,54595387,54633281,54902957,54997810,55054526,55304418,55487981,55585037,55662411,55706177,55875437,55887796,56183415,56215576,56428817,56435035,56468864,56595326,56668097,56930381,56979086,57144257,57310157,57553646,57589251,58008196,58203917,58343981,59281218,59328648,59459486,59557005,59614481,59865677,59915043,59928976,59956781,60070481,60093197,60274637,60343426,60582175,60596078,60883217,61084781,61232136,61317882,61508177,61523416,61751981,62104877,62280557,62608577,62811147,62994136,63026530,63086417,63242523,63414878,63428827,63527472,63731777,63838637,63917756,64030481,64115650,64218055,64252578,64433357,64559981,64665281,64838540,65105357,65167937,65417537,65461406,65686637,65727917,65930776,65997372,66036497,66264775,66417796,66424781,66729281,66744729,66850577,67152557,67212737,67336855,67420098,67722042,67810577,68518481,68886153,69081197,69196781,69213843,69369617,69446296,69503597,69684206,69884237,69941057,69991323,70505297,70692307,70784717,70803281,70868403,71191277,71283137,71380635,71430044,71468406,71474767,71630381,71736940,71857166,72235972,72423437,72601517,72649396,72698610,72796481,72895400,72972881,73405735,73739537,73911691,74172123,74507597,74702296,74745915,74775175,74776781,74927297,75123892,75506477,75621137,75631836,75670157,75702797,75886135,75964046,76011281,76139344,76188557,76544859,76587857,76667117,76808732,76938780,77022878,77061666,77371457,77433281,77545184,77765107,77806248,77832017,77877677,77904088,77983937,77993410,78127083,78210317,78259371,78419981,78434897,78568300,78612087,78775757,78776078,78816196,79225012,79438611,79517730,79645037,79728976,79787117,79956557,80514878,80786477,80804226,80808088,80827217,80857396,81230657,81376781,81390017,81456077,81574481,81964481,82007325,82015937,82068032,82207757,82452579,82797137,82846481,82957037,83103437,83139857,83140215,83164097,83272781,83297332,83320877,83747981,83818157,83876417,84040083,84221777,84335297,84348271,84513412,84593357,84671057,84798878,84806155,84818912,84836237,84949579,85086017,85257281,85352717,85405457,85478957,85656762,85820177,85881281,86082881,86084328,86142737,86418257,86534452,86563277,86582477,86655326,86706497,86753837,86957563,87042881,87097937,87143597,87234317,87238332,87474480,87501677,87528017,87532029,87642099,87829997,87880781,87956417,88006481,88039697,88056257,88086882,88138577,88161278,88163835,88380737,88451981,88569281,88654157,88682896,88684781,88790957,88826846,88950196,89298317,89415617,89436077,89476781,89695098,89730210,89895883,89930381,89961281,89986046,90016397,90037900,90058817,90195437,90236177,90265037,90322157,90433997,90537281,90612610,90694481,90764492,90839597,90909099,90916781,90940481,90982637,91063362,91162157,91270011,91311080,91372481,91435855,91486481,91540781,91561997,91579457,91613777,91629806,91708781,91755281,91773377,91811597,91870481,91899917,91925837,91970477,92010257,92019281,92030381,92039117,92072536,92100557,92123117,92128577,92149697,92172881,92222657,92244077,92301197,92303297,92315981,92320337,92325137,92326536,92327981,92332397,92554372,93306112,93352132,93592092,93673779,93917863,94041424,94281960,94552286,94569775,95421276,95612587,95712224,96315278,96374935,96844869,97269566,97811416,97902878,98186335,98408790,99632606,99768258,99813976,...,274636170156998339003313882522500369708106345018994590897247653422388995410464034925402641249226097510113931339182403550289863580623498568323033432639938095657859383981199177102087723070970948815719678945732131254409276280665362328915507472393290926668608188438247457221771219377428501650449027587398999461805478149970076019666581439446651781301736056637434494739000653141100627843624564168309345356164808878840777689816053061287978989527662921717748950175359224680937696661737589908046599586879726383464763445073201027924432107521826209436843552225360842830246251854144388627429469867367959504281087595574771581436469293914658998055588478027700400387182857951910505187328743203573652854736380379280458717854857836959944549966617533454032265177051887410047732276926190369923987680787576216437448333764524558860747094963212639436672058622959868139037973257092282797920430992580156169726751901230022635520161156641764314839415359541760756321451276305001832562431106012858171154718498702092519149566307677086466606817633803033505362873780087868555875498071466150331526976053407155091512563007809392485881276110016286158474548566865006939535947806121639776079973719227429968521403018699146675400724657940193058152316484982789885150562326676008991925608424724294286702564614085409460491817463367268772271461735206183458429223622396726310671192773985059235671397540696933175440317661543980028521444144900541974022778795908289249936084642144290899191915670279040836887411855201638353564551601278954396265326071009722261022107415912640130296972263888796408719759723304913384554276947758075821830721670257184038885430575635944113782281360236889915290007172455889676240503078365936018132968467382311686410215895021492914446225220204835298731204386155622186261958772977315302536468366300014457769350933436396209588192234228997783748840048554373426224230930513139609455045182960069547577362732804876409508560512951230471268509789286411004105527087414512195712133253008682027308940936614220897992739307240670483935658883553374622841755229526674166406768330715634143681313492716402074055355816786568085453086007240363120713714072755757985670115050769896634679479440357931516370258519771391197399865544269874386883674474716285526755910675123893833205189840542157176904128223286170627899594456414420632493908066917941932055010322391417628431094883657864880718513636913368010717017336349214897300852245560321573035742931161644329021677220032740128091318719527515506844994949937874906024368321232487448677642656345568256409306740422211766159490264725162202110900077844752977517845014407042895857663215190486748553156758650679217125343618666450601285437399877636911667844264600561696110714725473699793859668174070896550229908751887724472004178752593618176602567121232722394127198038564935561452064582733183105732884059050056250999157711738322238709025695078041915477817320099248269126332023108354123793530792593588776619294253844854937199772246608661116326655117854027945093796517191997411259140433012200193611755230564070242422061785549784465479467019210493299607853922432729}
19219  14048210805918618890481876678240385057984694871408246564509116662849787: {19219,153704,172917,288165,307376,345798,672245,806694,960350,1152420,1229248,1382904,1555767,2973365,3046917,3390789,3568038,3894149,4162277,5563070,5735717,5946110,6196109,6675684,6924341,6986465,7135332,7787486,7841469,8383758,9513077,9706598,9780029,10222869,10712117,11087774,11124980,11470238,12120245,12390926,12609254,13349976,13471589,13590110,13971470,14106917,14214494,14544294,14617389,15018723,15290229,15526565,15651269,16308132,16670069,16765764,17497277,17972949,18013220,18128198,18409877,18558029,18631878,18952804,19024166,19411172,19642629,19849217,20306420,20427758,21457061,21615864,22173236,22182101,22862465,23409854,23627829,23824766,24107054,24112277,24317847,24367704,24707704,24949317,24996110,26267349,26485109,26511470,26656157,27177380,27326438,27413667,27434958,27796167,27888437,28007534,28064477,28210886,28237917,28700621,29036897,29156501,29846606,29995332,30450149,30954749,31499429,31741829,31813764,32073976,32605214,32612856,32901077,33090675,33454749,33915544,33961889,34035380,34444286,34446110,34570052,34990886,35296720,35908516,36083223,36582014,36689463,37652709,37835870,37901656,38154987,38396846,38802869,39559265,39616676,39694286,39708810,39714317,40092110,40842456,40979789,41263118,41335332,41407709,41610701,42356064,42639363,42769317,42859745,42909638,43156097,44221070,45345470,45403044,45947763,46023149,46107614,46144504,46322115,46600589,46665758,47462741,47471118,47515917,47650572,47691686,47703617,47808101,47851109,48110532,48682049,48773469,48876965,48903917,49188629,49410256,49986980,50965869,51126884,51297880,51359006,51431694,51902229,51912567,52178366,52260020,52437854,53065284,53306726,53409716,53578119,53767745,53769117,53808315,53832989,53933381,54414564,55119869,55145375,55432670,55586538,55700549,55771046,56007029,57012869,57395536,57469217,57473966,57689429,57710115,58067726,58629365,58652358,58957589,59153870,59629629,59761397,59984376,60132435,60315041,60715252,60765509,61317665,61557456,61800675,62368529,62390465,62712024,63291677,63585015,63783475,63996965,64141264,64208318,64444148,64467941,64521294,64569978,64962638,65364509,65868020,65920720,66174450,66318069,66519204,66572270,66621926,67482423,67732865,67823589,67824016,67852036,68080467,68130980,68166077,68724309,68983661,69252138,69762854,69829892,69859745,70221189,70269470,70355238,70551027,70586080,70707077,70984644,71305697,71809528,71842781,71949389,72039617,72158922,72399701,72510245,72710069,73045949,73332254,73581198,73739224,73861889,74160810,74216548,74304206,74868558,74911220,75270189,75323787,75425909,75885137,76154709,76302018,76449117,76540170,76597719,76785668,76794581,76796358,76904270,76921409,77597534,78742670,79041624,79089069,79104864,79409340,79578509,79727489,79886724,79897195,79917269,80563469,80729198,80785719,80909597,81048175,81279438,81642848,81757176,81830549,82207709,82286246,82357214,82385006,82413470,82496715,82581789,82658654,82665089,82665797,82956627,83022245,83482286,83748196,83831694,84323364,84474317,84703296,84892989,84933326,85072949,85219361,85468629,85584989,85601438,85670104,86330469,86807870,86813261,87002597,87012294,87153518,87337229,87736469,87996496,88921827,88936541,88992972,89112197,89189229,89287555,89586077,89671175,89880869,89893464,90294965,90296056,90515139,90768317,90811745,90894117,91019309,91119250,91830389,91848204,91941701,91976823,92285124,92313029,92340197,92623877,93075269,93315389,93321764,93377870,93904865,93946214,94418558,94491204,94539795,94781126,95122317,95174180,95291208,95876634,96010915,96173475,96378867,96512366,96931480,97049477,97255598,97257810,97312517,97380110,98033729,98192109,98210375,98288477,98520245,98896164,98996058,99031265,99183038,99198557,99278669,99626694,99661220,99773429,99778241,99943649,...,366181560209331118671085176696667159610808460025326121196330204563185327213952046567203521665634796680151908452243204733719818107497998091097377910186584127543812511974932236136116964094627931754292905260976175005879035040887149771887343296524387902224810917917663276295694959169904668867265370116531999282407304199960101359555441919262202375068981408849912659652000870854800837124832752224412460474886411838454370253088070748383971986036883895623665266900478966241250262215650119877395466115839635177953017926764268037232576143362434945915791402967147790440328335805525851503239293156490612672374783460766362108581959058552878664074117970703600533849577143935880673583104990938098203806315173839040611623806477115946592733288823377938709686902735849880063643035901587159898650241050101621916597778352699411814329459950950185915562744830613157518717297676123043730560574656773541559635669201640030180693548208855685753119220479389014341761935035073335776749908141350477561539624664936123358866088410236115288809090178404044673817165040117158074500664095288200442035968071209540122016750677079189981175034813355048211299398089153342586047930408162186368106631625636573291361870691598862233867632877253590744203088646643719846867416435568011989234144566299059048936752818780545947322423284489691696361948980274911277905631496528968414228257031980078980895196720929244233920423548725306704695258859867389298697038394544385666581446189525721198922554227038721115849882473602184471419402135038605861687101428012963014696143221216853507062629685185061878293012964406551179405702597010767762440962227009578718513907434181258818376375146982519887053342896607852901654004104487914690843957956509748915213621193361990552594966960273113731641605848207496248349278363969753736715291155066685943692467911248528279450922978971997044998453398072497901632307907350852812606726910613426063436483643739835212678080683934973961691346385715214672140702783219349594282844337344909369745254582152294530656985742987560645247545178071166163789006972702232221875691107620845524908417990288536098740474422382090780604114676320484160951618763674343980893486734359862179572639253810575355160344693028521596533154059026499182511565966288380702341214233498525110940253120722876235872170964381560837199459275219227509991877422557255909406680429855223504574793178210486507624684849217824014289356448465619863067802994080428764047657241548859105362236293376986837455091626036687342459993266583833208032491094976649931570190208460757675212408987229615688212653686300216269481200103793003970023793352542723861143550953587315664737542344867572289500458158221934135047249866503515882223792352800748928147619633964933058479557565427862066973211669183632629338905003458157568803422828310296525502930718086580748602752776977577474310512078733408334665543615651096318278700926770722553970423093465664358835109364144472165058041056791451702159059005126473249599696328811548155102206823805370593458395356255996548345520577349600258149006974085426989896082380733045953972622692280657732810471896576972}
19220  14103833347687151360331339524260023105427884378987095726102123901813876: {134491,192130,230556,249691,268954,384220,422554,461064,518697,709771,1075592,1210041,1419394,1440525,1512139,1536560,1728630,1843872,2074356,2337154,2652259,2879419,3023962,3709474,4010899,4062556,4521052,4573939,4757384,5000794,5228194,5303962,5352057,5682562,5806291,6363034,6891394,8134771,8344605,8684491,8900912,8919165,9071962,9513776,10013526,10105339,10269274,10455292,10702998,11178344,11611354,11681229,12575637,13170562,13444411,13540762,13630492,13657459,13906225,14188819,14279962,14506771,14559897,15140731,15667051,15827074,16194394,16609891,16631661,16687470,16818619,17205357,17293954,17650651,17799968,18064939,18168331,18243994,18374899,18581179,18586389,18681562,18890059,18913881,19095619,19392392,19489852,19710571,19812811,20024964,20322931,20385165,20386972,20426074,20788354,20957205,21135379,21321741,21619241,21744176,21816441,22144459,22354352,22377634,22445779,22516525,23146339,23246131,23456794,23691005,23963932,24263965,24462198,24635659,24842504,25104514,25148646,25383025,25423339,25913299,25960834,26108779,26190172,26303971,27019830,27192297,27716545,27947817,27949954,28064729,28091554,28143931,28429206,28527979,28536249,28821152,29116758,29292619,29676101,30147331,30207874,30459630,30619651,30641637,30839962,30884630,30996211,31184059,31371619,31503772,31839259,32170114,32305099,32423796,32490272,32583739,33163949,33216154,33259854,33265756,33355354,33971725,33980962,34607299,34698451,34880539,35023132,35114781,35243851,35297434,35661197,35696371,35737149,36147091,36160581,36551556,36579944,36596011,37061556,37089562,37132339,37494165,37650556,38020459,38118562,38802562,38813611,39416794,39455317,39513739,39553114,39757474,39767205,39993776,40035811,40092470,40209259,40376441,40766070,40844962,40989657,41152437,41415331,42011301,42098179,42140657,42266074,42316329,42394430,42418352,42544225,43212565,43233974,43450051,43483808,43868731,44035699,44120900,44216962,44283994,44484994,44606332,44769909,44885645,44992998,45220762,45525451,45887962,46016851,46220962,46487074,46668019,46749091,46819354,47153371,47377070,47482714,47720646,48036451,48110964,48275779,48804634,48907821,48919284,49147771,49265794,49520845,49698139,50089099,50203612,50221094,50775514,50788291,50840962,50873316,51053070,51097171,51634939,51666429,51669165,51855078,52211674,52486329,52536994,52548619,52624291,52699891,52775419,52796962,52926259,52945080,53076811,53302099,53510554,53862774,54196771,54456608,54738562,54873021,55060762,55113776,55519339,55737499,55882579,56123606,56388091,56474752,56665762,56675371,56753805,56852484,56985562,57025756,57049474,57530299,57560194,57595269,57680630,57742411,58234819,58514611,58515034,59139931,59346014,59425014,59529562,59541429,59563215,59622259,59827891,59845762,60101059,60138165,60224674,60237211,60349718,60537392,60854914,60913651,61043674,61115179,61182211,61263684,61762820,61894677,61980979,62002998,62298394,62310739,62483725,62638699,62736034,62833337,63294824,63354556,63534096,63671194,63868531,63908605,64122350,64124131,64147376,64364457,64521821,64788634,65031292,65098114,65325025,65447131,65633539,65839234,66065971,66311491,66331605,66762145,66920251,67161739,67819891,67879291,67954492,68018205,68104566,68231962,68475994,68575592,68819899,69052171,69110059,69161421,69202972,69206554,69216756,69225619,69340891,69513259,69692314,69752962,69998637,70753712,70813219,71090779,71206677,71311531,71314958,71324194,71437492,71475858,71537529,71692156,71744420,71804011,72129091,72165798,72225754,72552752,72983299,73123714,74115384,74178931,74737291,74888059,74961341,74980470,75086554,75681211,75894065,75972994,76031962,76455931,76690326,76694251,76930771,76946820,76996934,77038509,77147541,77266594,77398411,77442394,77675539,77735074,77995579,78131659,78203144,78267549,78390030,78446659,78656781,78758131,78959962,78978451,79009049,79192474,79506172,79585771,79597926,79628611,79841731,79960089,79979168,80114574,80176580,80178979,80408962,80555185,80798899,80839651,81042331,81402619,81621846,81835051,81912739,82028731,82076608,82182379,82335025,82400900,82420762,82561459,82934914,83149005,83334091,83379807,83406019,83513371,83616032,83656569,83726131,83761339,83901451,83936299,84074971,84246691,84618139,84684739,84780020,84815045,85163725,85204354,85366651,85834291,86028392,86093304,86210949,86432611,86606491,87002131,87101589,87167371,87287365,87437011,87802411,87853459,87978537,88005154,88232600,88237142,88324051,88394074,88424092,88584619,88692272,88730805,88768651,88791331,88892962,88903651,89169562,89314051,89539771,89639491,89761910,89905277,89946499,89976564,90038659,90051994,90075019,90252499,90326914,90431452,90455971,90537691,90664699,90680251,90711139,90772051,90773956,90861259,90962059,91039834,91045651,91072878,91255891,91293259,91377931,91503859,91536691,91558219,91631299,91632412,91695514,91729579,91794091,91829371,91859074,91968034,92030611,92101099,92118811,92141419,92168059,92174030,92267419,92277571,92283979,92304139,92309251,92320771,92322859,92336184,92352019,92770685,92945794,93486754,93628252,93639025,93806984,94068036,94079962,94271597,94646192,95037877,95100034,95982085,96211896,96312477,96486562,96666222,96781941,96854967,97334434,97443957,98108264,98802030,98881080,99261675,99383962,99778806,99824744,99858405,99932889,...,549272340313996678006627765045000739416212690037989181794495306844777990820928069850805282498452195020227862678364807100579727161246997136646066865279876191315718767962398354204175446141941897631439357891464262508818552561330724657831014944786581853337216376876494914443542438754857003300898055174797998923610956299940152039333162878893303562603472113274868989478001306282201255687249128336618690712329617757681555379632106122575957979055325843435497900350718449361875393323475179816093199173759452766929526890146402055848864215043652418873687104450721685660492503708288777254858939734735919008562175191149543162872938587829317996111176956055400800774365715903821010374657486407147305709472760758560917435709715673919889099933235066908064530354103774820095464553852380739847975361575152432874896667529049117721494189926425278873344117245919736278075946514184565595840861985160312339453503802460045271040322313283528629678830719083521512642902552610003665124862212025716342309436997404185038299132615354172933213635267606067010725747560175737111750996142932300663053952106814310183025126015618784971762552220032572316949097133730013879071895612243279552159947438454859937042806037398293350801449315880386116304632969965579770301124653352017983851216849448588573405129228170818920983634926734537544542923470412366916858447244793452621342385547970118471342795081393866350880635323087960057042888289801083948045557591816578499872169284288581798383831340558081673774823710403276707129103202557908792530652142019444522044214831825280260593944527777592817439519446609826769108553895516151643661443340514368077770861151271888227564562720473779830580014344911779352481006156731872036265936934764623372820431790042985828892450440409670597462408772311244372523917545954630605072936732600028915538701866872792419176384468457995567497680097108746852448461861026279218910090365920139095154725465609752819017121025902460942537019578572822008211054174829024391424266506017364054617881873228441795985478614481340967871317767106749245683510459053348332813536661431268287362626985432804148110711633573136170906172014480726241427428145511515971340230101539793269358958880715863032740517039542782394799731088539748773767348949432571053511821350247787666410379681084314353808256446572341255799188912828841264987816133835883864110020644782835256862189767315729761437027273826736021434034672698429794601704491120643146071485862323288658043354440065480256182637439055031013689989899875749812048736642464974897355285312691136512818613480844423532318980529450324404221800155689505955035690028814085791715326430380973497106313517301358434250687237332901202570874799755273823335688529201123392221429450947399587719336348141793100459817503775448944008357505187236353205134242465444788254396077129871122904129165466366211465768118100112501998315423476644477418051390156083830955634640198496538252664046216708247587061585187177553238588507689709874399544493217322232653310235708055890187593034383994822518280866024400387223510461128140484844123571099568930958934038420986599215707844865458}
19221  14159674544151112517912250078061594797495565550380771919652051141696710: {38438,288195,307408,345834,403431,480275,576330,614752,633831,691596,941143,1344490,1613388,1920700,2129091,2304840,2458496,2592945,2765808,3111534,3505731,4162711,4535943,5078195,5564211,5651315,5946730,6093834,6118739,6781578,6925063,7136076,7499771,7501191,7788298,7842291,7955943,8324554,8523843,9544551,9781051,9907271,10337091,11126140,11168531,11471434,11892220,12392218,13069115,13351368,13356611,13607943,13848682,13972930,14270664,14947559,15020289,15306443,15403911,15574972,15682938,16054497,16116083,16671811,16767516,16968343,17038115,17417031,18065051,18719459,19026154,19413196,19560058,19755843,20311143,20445738,21419943,21424234,21737191,22175548,22184419,22249960,22940476,23740611,24240490,24291591,24362315,24781852,25031205,25218508,25483715,25940931,25971623,26699952,26943178,26979731,27180220,27365991,27492839,27942940,28022343,28213834,28428988,28743011,29088588,29234778,29416643,29954915,30037446,30453331,30580458,30639111,31053130,31182531,31302538,31502731,32007451,32172659,32616264,32737715,33340138,33531528,33566451,34457683,34994554,35185191,35945898,36026440,36227411,36256396,36693297,36819754,37116058,37263756,37472039,37656771,37722969,37905608,38048332,38822344,38883091,38941251,39285258,39370139,39379715,39698434,40529745,40612840,40855516,41201171,41582195,41924931,42137331,42475571,42643809,42914122,43231728,43675137,43778915,44346472,44364202,45311811,45689445,45724930,46253699,46259943,46326945,46819708,47063195,47255658,47630411,47649532,48214108,48224554,48255171,48635694,48735408,49176283,49415408,49824231,49889781,49898634,49992220,50033031,50971443,52345799,52534698,52946151,52970218,53022940,53312314,54046043,54354760,54652876,54657319,54813671,54827334,54869916,55151125,55382971,55592334,55634343,55757915,55776874,55970171,56015068,56128954,56421772,56475834,56500483,57177843,57401242,58073794,58203843,58313002,59125191,59329671,59636211,59693212,59990664,60003643,60138705,60900298,60944791,60969491,61149105,61267443,61735211,61909498,62521883,62754515,62998858,63399111,63483658,63591645,63627528,64147952,64474699,64653479,64850961,65210428,65225712,65802154,66181350,66325443,66425991,66727491,66909498,67489497,67831088,67831143,67923778,68070760,68427751,68503243,68831943,68888572,68892220,69140104,69331443,69706003,69730611,69981772,70229031,70593440,71065605,71224071,71282195,71580969,71817032,72166446,72717691,73098071,73164028,73206951,73378926,73898691,75274843,75305418,75331641,75671740,75803312,76163271,76261443,76309974,76579605,76793692,77203525,77605738,77782617,78317511,78805491,79006139,79118530,79193195,79195443,79233352,79388572,79417620,79428634,79586851,80184220,80265831,80414023,80794161,81289115,81684912,81959578,82081111,82090759,82107843,82526236,82551523,82591143,82670664,82779443,82815418,83221402,83673251,84185409,84712128,84943115,84994411,84998643,85278726,85478343,85538634,85563283,85574211,85681543,85719490,85819276,85844731,86093531,86312194,86340291,86503715,86520945,87346651,87772551,88442140,89019021,89137521,89294343,89296865,89376403,89595751,89615195,89680525,89768643,89995643,90337011,90524577,90539531,90690940,90806088,91282371,91565511,91895526,91951339,92046298,92215228,92289008,92644230,93004497,93201178,93325171,93331516,93429863,93447591,94104051,94195691,94826011,94925482,94942236,95031834,95076179,95301144,95383372,95407234,95506791,95616202,95702218,96177239,96183525,96221064,96282791,97182951,97364098,97546938,97647171,97753930,97803643,97807834,98377258,98693639,98696483,98758851,98820512,99382715,99973960,...,823908510470995017009941647567501109124319035056983772691742960267166986231392104776207923747678292530341794017547210650869590741870495704969100297919814286973578151943597531306263169212912846447159036837196393763227828841996086986746522417179872780005824565314742371665313658132285504951347082762196998385416434449910228058999744318339955343905208169912303484217001959423301883530873692504928036068494426636522333069448159183863936968582988765153246850526077674042813089985212769724139798760639179150394290335219603083773296322565478628310530656676082528490738755562433165882288409602103878512843262786724314744309407881743976994166765434083101201161548573855731515561986229610720958564209141137841376153564573510879833649899852600362096795531155662230143196830778571109771963042362728649312345001293573676582241284889637918310016175868879604417113919771276848393761292977740468509180255703690067906560483469925292944518246078625282268964353828915005497687293318038574513464155496106277557448698923031259399820452901409100516088621340263605667626494214398450994580928160221465274537689023428177457643828330048858475423645700595020818607843418364919328239921157682289905564209056097440026202173973820579174456949454948369655451686980028026975776825274172882860107693842256228381475452390101806316814385205618550375287670867190178932013578321955177707014192622090799526320952984631940085564332434701625922068336387724867749808253926432872697575747010837122510662235565604915060693654803836863188795978213029166783066322247737920390890916791666389226159279169914740153662830843274227465492165010771552116656291726907832341346844080710669745870021517367669028721509235097808054398905402146935059230647685064478743338675660614505896193613158466866558785876318931945907609405098900043373308052800309188628764576702686993351246520145663120278672692791539418828365135548880208642732088198414629228525681538853691413805529367859233012316581262243536587136399759026046081926822809842662693978217921722011451806976650660123868525265688580022499220304992146902431043940478149206222166067450359704256359258021721089362141142218267273957010345152309689904038438321073794549110775559314173592199596632809623160651023424148856580267732025371681499615569521626471530712384669858511883698783369243261897481724200753825796165030967174252885293284650973594642155540910740104032151052009047644691902556736680964719107228793484932987065031660098220384273956158582546520534984849813624718073104963697462346032927969036704769227920221266635298478470794175486606332700233534258932553535043221128687572989645571460245659470275952037651376030855999351803856312199632910735003532793801685088332144176421099381579004522212689650689726255663173416012536257780854529807701363698167182381594115694806684356193748199549317198652177150168752997473135214966716127077085234125746433451960297744807378996069325062371380592377780766329857882761534564811599316739825983348979965353562083835281389551575992233777421299036600580835265691692210727266185356649353396438401057631479898823561767298187}
19222  14215735248689289505413889367690443461443546178135917824470044183941067: {57657,211321,268982,384260,461112,499382,518751,537908,768440,786421,845108,864495,922128,1037394,1130617,1419542,1588537,1931221,2016735,2151184,2400875,2420082,2838788,2841877,2881050,3024278,3073120,3457260,3634921,3687744,4148712,4667301,4674308,4986217,5304518,5758838,5881321,6047924,6660757,7215337,7418948,7878457,8021798,8125112,8429077,8920095,8977897,9042104,9140751,9147878,9196921,9415657,9514768,9524917,9743221,10001588,10172367,10456388,10607924,10704114,11365124,11612582,11682447,12486831,12662137,12726068,12983221,13303657,13782788,13907675,14048821,14865275,14896117,15107221,16158421,16269542,16681321,16689210,17207151,17368982,17410357,17721721,17801824,17838330,18143924,18588327,18754921,19027552,19468715,19780921,19985257,20027052,20210678,20538548,20773023,20910584,20959395,21002617,21306421,21405996,22356688,23015737,23222708,23315221,23362458,23524407,23614057,24266495,25151274,25491637,25589737,26341124,26469397,26888822,27081524,27260984,27314918,27439957,27719435,27812450,28377638,28403317,28539231,28559924,28675595,29013542,29119794,29340087,30281462,30308437,30668607,30977315,31334102,31523135,31654148,32136351,32388788,32463721,32742037,32927221,33167407,33219782,33263322,33374940,33388921,33637238,33969551,33975275,34410714,34587908,34928675,35036137,35301302,35399017,35536235,35599936,35941177,36129878,36336662,36360735,36390997,36487988,36749798,37162358,37172778,37363124,37780118,37827762,38083897,38191238,38784784,38803163,38979704,39402037,39421142,39459431,39489337,39625622,39663721,40049928,40271797,40358377,40414767,40531321,40645862,40770330,40773944,40852148,41220217,41576708,41914410,42145051,42244921,42270758,42320751,42499477,42643482,43090921,43238482,43488352,43632882,43852167,44097119,44288918,44512597,44708704,44755268,44891558,45009397,45033050,45056169,45174421,45320495,45831637,45870687,45995221,46292678,46492262,46579695,46629011,46808821,46913588,46953807,47374057,47382010,47560415,47927864,48255157,48527930,48652777,48924396,49271318,49685008,49756537,50010207,50209028,50225257,50297292,50766050,50846678,51069395,51539221,51826598,51921668,51921721,52217558,52380344,52491831,52529977,52607942,53918847,53956117,54039660,54384594,54401077,54548821,54916921,55229631,55433090,55502137,55674087,55895634,55899908,56010421,56129458,56154997,56183108,56287862,56858412,57055958,57072498,57087721,57642304,58148821,58233516,58359097,58524635,58585238,58847221,58927887,59331817,59352202,59547651,59561915,60017977,60267635,60294662,60415748,60497591,60764437,60919260,61239302,61283274,61435477,61679924,61701877,61769260,61900921,61992422,62368118,62428537,62490275,62743238,62839903,63007544,63663157,63678518,63855721,63983737,64340228,64371183,64610198,64847592,64980544,65122921,65167478,65310517,65745721,65869417,66054421,66278675,66327898,66432308,66483577,66519708,66531512,66546303,66710708,67090537,67943450,67961924,67987477,68046697,68282857,68316095,68576437,68587395,69214598,69215977,69329183,69396902,69761078,70018835,70046264,70229562,70356457,70487702,70527215,70594868,70860277,70883487,71322394,71392742,71474298,72294182,72321162,72336831,72657721,72817237,72953541,73103112,73159888,73192022,73864117,74123112,74179124,74264678,74478421,74579797,74616515,74847951,74982421,74988330,75231721,75301112,75479221,75724921,76040918,76065877,76237124,76831957,77605124,77627222,77855221,78802047,78833588,78910634,79027478,79106228,79194421,79455327,79514948,79534410,79968471,79987552,80051221,80071622,80135317,80184940,80418518,80551477,80752882,80879221,81162217,81202357,81401977,81481321,81513035,81532140,81560377,81599797,81689924,81979314,82241001,82304874,82830662,83007721,83081017,83117557,83190421,83388501,83621557,83665311,84007657,84022602,84193431,84196358,84281314,84532148,84632658,84713751,84788860,84836704,85016377,85088450,85338217,85401721,85464937,85652857,85792751,85960297,86081257,86101863,86110715,86111317,86115275,86171221,86319721,86425130,86467948,86611321,86811157,86900102,86951737,86967616,87110691,87469503,87477215,87627637,87737462,88011577,88071398,88086421,88241800,88282837,88433924,88498297,88567988,88615477,88730857,88969988,89174377,89195797,89212664,89280757,89447221,89472047,89539818,89609077,89771290,89804917,89985996,90433657,90441524,90499897,90581077,90813817,90828757,90959977,91050902,91165717,91350447,91367317,91455035,91472617,91528597,91762921,91775924,91911637,91935721,91951417,91959157,91996777,92011321,92032597,92033702,92046421,92066617,92168821,92262421,92270197,92313721,92334457,92338921,92352277,92353897,92365237,92441924,92864247,92974148,93336038,93467003,93498182,93638708,94306742,94498287,94589675,94754140,94965428,95225487,95441292,95992115,96072902,96221928,96551558,97609268,97815642,97838568,98295542,98531588,98703231,99041690,99235715,99272025,99396278,99673871,...,1098544680627993356013255530090001478832425380075978363588990613689555981641856139701610564996904390040455725356729614201159454322493994273292133730559752382631437535924796708408350892283883795262878715782928525017637105122661449315662029889573163706674432753752989828887084877509714006601796110349595997847221912599880304078666325757786607125206944226549737978956002612564402511374498256673237381424659235515363110759264212245151915958110651686870995800701436898723750786646950359632186398347518905533859053780292804111697728430087304837747374208901443371320985007416577554509717879469471838017124350382299086325745877175658635992222353912110801601548731431807642020749314972814294611418945521517121834871419431347839778199866470133816129060708207549640190929107704761479695950723150304865749793335058098235442988379852850557746688234491839472556151893028369131191681723970320624678907007604920090542080644626567057259357661438167043025285805105220007330249724424051432684618873994808370076598265230708345866427270535212134021451495120351474223501992285864601326107904213628620366050252031237569943525104440065144633898194267460027758143791224486559104319894876909719874085612074796586701602898631760772232609265939931159540602249306704035967702433698897177146810258456341637841967269853469075089085846940824733833716894489586905242684771095940236942685590162787732701761270646175920114085776579602167896091115183633156999744338568577163596767662681116163347549647420806553414258206405115817585061304284038889044088429663650560521187889055555185634879038893219653538217107791032303287322886681028736155541722302543776455129125440947559661160028689823558704962012313463744072531873869529246745640863580085971657784900880819341194924817544622488745047835091909261210145873465200057831077403733745584838352768936915991134995360194217493704896923722052558437820180731840278190309450931219505638034242051804921885074039157145644016422108349658048782848533012034728109235763746456883591970957228962681935742635534213498491367020918106696665627073322862536574725253970865608296221423267146272341812344028961452482854856291023031942680460203079586538717917761431726065481034079085564789599462177079497547534697898865142107023642700495575332820759362168628707616512893144682511598377825657682529975632267671767728220041289565670513724379534631459522874054547653472042868069345396859589203408982241286292142971724646577316086708880130960512365274878110062027379979799751499624097473284929949794710570625382273025637226961688847064637961058900648808443600311379011910071380057628171583430652860761946994212627034602716868501374474665802405141749599510547646671377058402246784442858901894799175438672696283586200919635007550897888016715010374472706410268484930889576508792154259742245808258330932732422931536236200225003996630846953288954836102780312167661911269280396993076505328092433416495174123170374355106477177015379419748799088986434644465306620471416111780375186068767989645036561732048800774447020922256280969688247142199137861917868076841973198431415689730916}
19223  14272016317987185992258943968608577263630652438131731427106278398819308: {76876,403473,480325,576390,614816,672385,691668,749073,806862,960550,1056385,1152660,1229504,1267662,1383192,1556091,1882286,2129313,2688980,3226776,3548485,3630123,3841400,4258182,4321575,4536417,4609680,4916992,5185890,5531616,5842885,6119377,6223068,6540721,7011462,7109473,7231237,7500553,7559905,7911841,7956777,8325422,8382097,8638257,9071886,9273685,10156390,11128422,11302630,11708593,11893460,12032697,12187668,12237478,12501985,13070485,13199173,13259905,13563156,13721817,13850126,14008153,14206405,14272152,14927977,14949121,14999542,15002382,15368617,15576596,15684582,15907585,15911886,16056171,16307713,16649108,17047686,17107201,17227537,17228485,17418873,17665297,18296761,18946273,19089102,19562102,19814542,20555461,20674182,21799321,22122997,22252280,22337062,22679905,22942868,23784440,23853361,24404313,24784436,25033815,25673185,25974337,26053473,26138230,26702736,26713222,26757495,26852017,27215886,27495721,27697364,27945860,28541328,29028385,29162617,29419717,29895118,30040578,30153817,30316017,30612886,30807822,31149944,31365876,31445377,32108994,32176021,32232166,32491537,32926405,33282721,33343622,33535032,33742057,33851905,33936686,33969013,34076230,34107241,34742857,34834062,35043687,35677201,35699905,36130102,37438918,37726911,37890721,38052308,38826392,39120116,39511686,39567685,40333233,40479157,40485985,40622286,40891476,40972377,41191561,41619457,41718675,41936881,42085321,42566457,42814213,42839886,42848468,43234885,43474382,43520313,43679691,44101321,44285137,44351096,44368838,44411701,44499920,45422193,45609985,45832801,45880952,46703905,47001153,47472697,47481222,47821621,48480980,48509977,48583182,48643177,48692293,48724630,49563704,49607113,49829673,49880017,49894983,50062410,50437016,50455857,50967430,51065185,51616071,51881862,51943246,51970885,52951953,53399904,53886356,53959462,54194817,54360440,54504993,54731982,54985678,55124697,55131601,55712233,55743537,55759167,55885880,55944085,56044686,56427668,56670177,56741643,56857976,57286857,57454897,57486022,58177176,58215073,58469556,58641985,58833286,59131713,59226961,59438433,59909830,60074892,60404401,60906662,60968793,60975937,61155495,61160916,61278222,61290481,61863217,62106260,62365062,62381653,62528437,62554897,62605076,62761285,62871615,63005462,63406137,63661141,63965223,64014902,64345318,64779793,64857723,64902085,65069257,65232528,65287777,65449323,65475430,65888473,66433377,66680276,66833737,67063056,67132902,67337337,67549575,68915366,68998177,69439017,69738393,69874885,69989108,70228885,70370382,71073015,71369713,71891796,72052880,72054853,72454822,72512792,72791895,73229497,73239961,73386594,73639508,73906977,74232116,74527512,74944078,75152053,75313542,75445938,75519685,75533761,75811216,76096664,76149075,76270017,76408657,77099905,77211575,77296417,77644688,77739897,77766182,77882502,78061081,78326337,78570516,78740278,78759430,78911913,79014421,79396868,79744213,79840921,80425285,80570617,81059490,81225680,81576891,81711032,82402342,82860097,83040385,83149635,83164390,83388385,83506537,83843451,83849862,83963713,84194187,84274662,84431793,84594697,84951142,84952405,85237237,85287618,85583937,85608747,85828244,86463456,86616937,86675461,86967577,86981161,87350274,87557830,87754873,87856321,87877857,88243585,88346677,88692944,88728404,89028303,89959537,90005077,90441993,90623622,90654817,91378890,91449860,91858953,91924911,92332393,92507398,92518201,92519886,92653890,92723905,92988633,93439657,93552177,93639416,94114857,94126390,94205653,94511316,95260822,95296405,95299064,95488657,95517777,95898001,96187321,96428216,96449108,96510342,96596977,96915297,97006405,97271388,97470816,97751217,98054293,98352566,98541985,98633881,98830816,98882785,98886457,99058033,99393685,99491847,99648462,99779562,99795073,99797268,99799237,99984440,...,1647817020941990034019883295135002218248638070113967545383485920534333972462784209552415847495356585060683588035094421301739181483740991409938200595839628573947156303887195062612526338425825692894318073674392787526455657683992173973493044834359745560011649130629484743330627316264571009902694165524393996770832868899820456117999488636679910687810416339824606968434003918846603767061747385009856072136988853273044666138896318367727873937165977530306493701052155348085626179970425539448279597521278358300788580670439206167546592645130957256621061313352165056981477511124866331764576819204207757025686525573448629488618815763487953988333530868166202402323097147711463031123972459221441917128418282275682752307129147021759667299799705200724193591062311324460286393661557142219543926084725457298624690002587147353164482569779275836620032351737759208834227839542553696787522585955480937018360511407380135813120966939850585889036492157250564537928707657830010995374586636077149026928310992212555114897397846062518799640905802818201032177242680527211335252988428796901989161856320442930549075378046856354915287656660097716950847291401190041637215686836729838656479842315364579811128418112194880052404347947641158348913898909896739310903373960056053951553650548345765720215387684512456762950904780203612633628770411237100750575341734380357864027156643910355414028385244181599052641905969263880171128664869403251844136672775449735499616507852865745395151494021674245021324471131209830121387309607673726377591956426058333566132644495475840781781833583332778452318558339829480307325661686548454930984330021543104233312583453815664682693688161421339491740043034735338057443018470195616108797810804293870118461295370128957486677351321229011792387226316933733117571752637863891815218810197800086746616105600618377257529153405373986702493040291326240557345385583078837656730271097760417285464176396829258457051363077707382827611058735718466024633162524487073174272799518052092163853645619685325387956435843444022903613953301320247737050531377160044998440609984293804862087880956298412444332134900719408512718516043442178724282284436534547914020690304619379808076876642147589098221551118628347184399193265619246321302046848297713160535464050743362999231139043252943061424769339717023767397566738486523794963448401507651592330061934348505770586569301947189284311081821480208064302104018095289383805113473361929438214457586969865974130063320196440768547912317165093041069969699627249436146209927394924692065855938073409538455840442533270596956941588350973212665400467068517865107070086442257375145979291142920491318940551904075302752061711998703607712624399265821470007065587603370176664288352842198763158009044425379301379452511326346832025072515561709059615402727396334364763188231389613368712387496399098634397304354300337505994946270429933432254154170468251492866903920595489614757992138650124742761184755561532659715765523069129623198633479651966697959930707124167670562779103151984467554842598073201161670531383384421454532370713298706792876802115262959797647123534596374}
19224  14328518612049743177656763776603305394583674589498399329274928452084774: {96095,115314,211343,249743,326519,422642,537964,768520,786503,824783,864585,922224,998764,1037502,1075816,1168943,1210293,1283519,1440825,1536880,1572842,1588703,1690216,1728990,1844256,1901493,1969463,2074788,2261234,2614919,2823429,2839084,2880023,3177074,3295823,3361225,3672983,3862442,4011743,4033470,4237223,4302368,4762223,4801750,4840164,5248319,5677576,5683754,5762100,5807519,5881943,5919143,6048556,6146240,6387273,6914520,7269842,7375488,7778835,7916063,8099783,8297424,8759519,9334602,9348616,9780623,9972434,10506143,10517193,10609036,10939919,11300519,11517676,11732183,11762642,11911703,12095848,12488133,12663503,12984623,13321514,13607829,13731383,14262623,14430674,14686319,14837896,14866825,14932943,15144023,15214319,15234585,15670463,15740519,15756914,16043596,16195103,16250224,16683143,16692633,16858154,16953945,17134919,17654519,17723663,17840190,17955794,18068903,18084208,18281502,18295756,18356217,18393842,18447743,18791303,18831314,19029536,19049834,19470745,19486442,19783103,19817183,19885319,19987463,20003176,20344734,20775189,20811385,20912776,21004943,21215848,21308783,21408228,22249919,22499313,22503573,22730248,23225164,23317823,23351063,23364894,23526873,23649863,23867829,24311543,24509423,24973662,25324274,25452136,25494503,25571529,25966442,26374919,26607314,26764343,27256201,27281783,27565576,27668519,27815350,28097642,28150319,28214423,28630319,28633653,28678585,29343153,29721813,29730550,29792234,30214442,30311903,30437903,30532319,30626663,30980545,31011273,31722023,31846583,32095319,32316842,32498423,32539084,33023519,33362642,33378420,33392783,33423503,33505593,33973093,34341383,34414302,34621705,34706519,34737964,34820714,34932325,35443442,35603648,35676660,35764919,36287848,36425183,37176654,37497263,37509842,37645343,37999919,38055104,38088383,38646983,38734919,38807209,38822783,38881319,38937430,39207345,39523103,39561842,39970514,40054104,40069833,40103183,40145833,40276583,40421356,40823829,40909919,41077096,41482319,41546046,41821168,41918790,42005234,42108263,42249983,42532823,42612842,42811992,43096103,43124183,43368241,43460519,43516463,44018519,44101717,44101943,44132389,44213063,44296319,44713376,44842677,45042383,45060867,45673319,45864503,45919329,45946319,46028063,46031474,46211733,46445416,46571183,46630442,46633873,46724916,46814543,47048814,47228114,47565385,48101519,48163491,48287663,48348249,48532990,48685223,48900145,49159919,49212503,49750729,49762703,50015433,50257463,50302548,50464919,50800943,50852519,50905029,50983274,51114345,51161303,51179474,51494519,51928223,51953663,52114777,52251093,52561823,52682248,52839023,52938794,53090183,53140319,53560585,53777644,53888519,54163048,54195153,54210503,54506519,54521968,54580343,54629836,54879914,54923903,55107013,55438870,55533503,55624900,55727519,56017583,56041703,56158377,56450519,56522423,56755276,56761583,56806634,57078462,57118823,57119848,57351190,57403319,57757319,58027084,58239588,58576319,58680174,58878023,58993703,59155319,59201423,59267529,59339543,59889143,59957519,60298319,60562924,60601225,60616874,60933429,60974519,61337214,61465823,61931183,61954630,62371103,62668204,63046270,63219743,63308296,63448693,63542903,63885623,64259829,64272702,64459319,64564919,64775519,64777576,64927442,64943423,65194319,65211573,65484074,65651303,65816519,65854442,66083903,66186383,66329519,66334814,66439564,66526644,66553257,66584581,66749880,66777842,66938519,67180103,67240319,67274476,67300463,67357945,67897943,67939102,67950550,67996823,68174303,68468663,68821428,69109919,69167783,69175816,69244823,69360143,69398519,69857350,69970319,70072274,70215863,70478783,70534585,70590983,70602604,70798034,70870223,71072470,71147663,71199872,71221833,71497153,71587823,71860583,71882354,72259756,72507863,72632519,72673324,72721470,72781994,72874773,72975976,73086945,73162319,73459343,73499596,73823063,73995023,74200319,74234423,74324716,74345556,74590583,74726248,74792519,75009983,75093615,75490223,75506663,75560236,75655524,75703319,75735983,76167794,76222103,76382476,76451145,76669319,76748519,77094623,77172743,77374919,77569568,77606326,77632825,77729303,77822793,77912519,77914869,77958143,77959408,78064319,78185183,78256345,78290519,78589319,78804074,78811319,78842284,78918862,78978674,79251244,79327442,79394519,79609919,79681319,79724063,79866023,80099856,80203463,80273183,80543594,80716754,80829534,80864519,80891663,80939193,81062642,81134519,81228263,81291724,81427823,81533519,81540660,81547888,81704296,81934489,82097973,82440434,82478517,82587383,82836263,83033063,83142863,83153416,83179319,83350345,83386681,83828820,84067029,84101903,84124919,84290102,84374689,84432503,84489842,84500063,84541516,84612023,84641502,84667703,84998954,85286964,85288319,85362743,85415663,85478903,85552319,85635743,85708319,86181842,86215319,86229033,86334023,86476964,86509919,86635343,86749919,86778383,86825663,86966303,86976704,87031319,87141863,87265764,87466583,87486385,87546143,87572519,87704334,87849383,87959519,88026623,88126319,88194238,88249929,88306103,88354463,88370519,88577836,88630823,88837319,88889903,88934663,88949519,89025194,89254103,89366423,89417408,89483519,89510536,89584919,89631623,89671343,89783116,89827343,89864745,89960063,90018794,90066100,90083183,90112338,90137543,90302519,90348842,90455663,90483383,90499919,90634919,90640990,90830543,90865319,90889919,91023983,91156223,91182743,91234919,91311023,91359993,91360319,91412423,91420319,91545983,91624919,91642319,91663274,91666343,91741374,91835519,91864919,91873583,91915823,91917333,91953623,91979663,91990442,92017223,92031743,92049385,92066783,92119103,92161103,92183519,92209919,92264519,92282303,92288783,92307023,92314919,92317103,92341703,92350943,92354063,92358503,92359919,92375903,92386319,92390423,92585356,92790145,92984524,93159390,93258022,93547593,93617642,93827176,93907614,94508193,94748114,94764020,95120830,95642533,95855728,96022353,96510314,96517977,97055860,97305554,97848792,98026369,98213145,98542636,98738101,99246085,99370016,99513074,...,2471725531412985051029824942702503327372957105170951318075228880801500958694176314328623771243034877591025382052641631952608772225611487114907300893759442860920734455830792593918789507638738539341477110511589181289683486525988260960239567251539618340017473695944227114995940974396856514854041248286590995156249303349730684176999232955019866031715624509736910452651005878269905650592621077514784108205483279909566999208344477551591810905748966295459740551578233022128439269955638309172419396281917537451182871005658809251319888967696435884931591970028247585472216266687299497646865228806311635538529788360172944232928223645231930982500296302249303603484645721567194546685958688832162875692627423413524128460693720532639500949699557801086290386593466986690429590492335713329315889127088185947937035003880721029746723854668913754930048527606638813251341759313830545181283878933221405527540767111070203719681450409775878833554738235875846806893061486745016493061879954115723540392466488318832672346096769093778199461358704227301548265864020790817002879482643195352983742784480664395823613067070284532372931484990146575426270937101785062455823530255094757984719763473046869716692627168292320078606521921461737523370848364845108966355060940084080927330475822518648580323081526768685144426357170305418950443155616855651125863012601570536796040734965865533121042577866272398578962858953895820256692997304104877766205009163174603249424761779298618092727241032511367531986706696814745182080964411510589566387934639087500349198966743213761172672750374999167678477837509744220460988492529822682396476495032314656349968875180723497024040532242132009237610064552103007086164527705293424163196716206440805177691943055193436230016026981843517688580839475400599676357628956795837722828215296700130119924158400927565886293730108060980053739560436989360836018078374618256485095406646640625928196264595243887685577044616561074241416588103577699036949743786730609761409199277078138245780468429527988081934653765166034355420929951980371605575797065740067497660914976440707293131821434447618666498202351079112769077774065163268086423426654801821871031035456929069712115314963221383647332326677942520776598789898428869481953070272446569740803196076115044498846708564879414592137154009575535651096350107729785692445172602261477388495092901522758655879853952920783926466622732220312096453156027142934075707670210042894157321686380454798961195094980294661152821868475747639561604954549440874154219314891092387038098783907110114307683760663799905895435412382526459818998100700602776797660605129663386062718968936714380736978410827856112954128092567998055411568936598898732205010598381405055264996432529263298144737013566638068952069178766989520248037608773342563589423104091094501547144782347084420053068581244598647951595956531450506258992419405644900148381231255702377239300355880893234422136988207975187114141777133342298989573648284603694434797950219477950046939896060686251505844168654727976701332263897109801742505797075076632181798556069948060189315203172894439696470685301894561}
19225  14385242994214109379281590378532078588891122646575967762254111554398271: {153752,172971,633963,672455,806946,941339,960650,1152780,1229632,1248455,1344770,1383336,1478939,1498146,1556253,1613724,1921100,2112770,2305320,2359263,2459008,2535324,2593485,2766384,3112182,3391851,3548855,3764572,4258626,4765611,4967879,5377960,5793663,6050205,6453552,6541403,7096970,7202625,7231991,7260246,7560695,7682800,7729943,8180039,8382971,8516364,8525631,8643150,9072834,9219360,9833984,10371780,10583867,10904763,11063232,11685770,12238754,12446136,12983159,13081442,13261295,14001903,14022924,14218946,14397095,14462474,14958651,15001106,15119810,15370223,15656171,15823682,15913554,16650844,16764194,17276514,17502779,17643963,17667143,18143772,18162911,18298679,18415643,18547370,18563867,19888967,19982271,20054495,20312780,21646011,21801599,21973079,22256844,22270619,22605260,22869695,23417186,23635371,23786920,24065394,24119879,24363947,24375336,24474956,25003970,25287231,26140970,26398346,26519810,26664539,26760285,26854823,26933691,27126312,27422253,27443634,27590763,27700252,28016306,28246971,28412810,28544304,28574751,29031455,29229663,29855954,29898242,29999084,30004764,30517101,30737234,31153192,31369164,31448663,31751867,31815170,31823772,32112342,32494943,32615426,33286199,33298216,33745583,34095372,34158443,34214402,34455074,34456970,34464911,34837746,35047341,35330594,35388011,35942459,36593522,37460493,37892546,37986411,38178204,38949663,39124204,39629084,39910971,40639739,40673855,41110922,41195879,41348364,41723025,42146463,43270823,43422455,43598642,44245994,44504560,44595825,44674124,44688351,44779943,45060047,45321663,45359810,45885736,46037627,46096967,47392667,47400959,47568880,47706722,48475263,48808626,49186631,49568872,49636607,49979867,50043963,50067630,50154383,50297423,50526695,50847119,51346370,51621453,51948674,52106946,52119743,52231071,52276460,53165163,53405472,53426444,53514990,53704034,54431772,54991442,55394728,55394759,55764981,55891720,56264763,56680379,57082656,57487391,58056770,58325234,58406145,58839434,58949111,59342763,59790236,59955771,60081156,60307634,60334007,60528839,60632034,61225772,61615644,62299888,62319069,62731752,62878185,62890754,63007851,63311579,63853979,63919263,64217988,64307447,64352042,64464332,64983074,65385467,65852810,66164123,66565442,66687244,66840743,67070064,67222055,67484114,67703810,67873372,67938026,68152460,68214482,68287295,69047211,69485714,69531125,69668124,69720671,69945663,70087374,70231127,70573221,70842171,70944095,71150687,71328119,71354402,71399810,71491259,72062471,72260204,72533855,72759239,72799485,73885247,74877836,75453822,75541679,75703655,75781442,75908999,76104616,76474911,76769211,76900031,76945607,77652784,78240232,78321719,78335255,79023372,79135370,79408191,80579063,80666466,80958314,80971970,81244572,81782952,81856427,81944754,82098779,82319871,82383122,82868783,83049455,83158305,83238914,83437350,83873762,83993471,84093095,84170642,84380951,84500891,85132914,85209951,85617693,85628426,85679772,85696936,86026785,86469770,86543951,86948764,86990279,87030383,87040626,87359382,87865799,88020261,88202642,88253255,88570274,88702192,88737676,88823402,88964507,88999840,89395151,90324695,90796859,90841655,90844386,90862919,90925311,91219970,91350311,91665602,91761904,91874495,92005821,92653079,92656271,92905895,92931945,93407810,94002306,94291439,94450295,94569405,94945394,94962444,95478095,95643242,96163643,96409053,96569519,96607103,96961960,97019954,97166364,97286354,97343291,97384586,97391163,97449260,97690487,97824839,98226111,98320439,98552855,98781663,98896823,99064055,99127408,99214226,99502221,99659346,99760034,99789966,99930791,99975551,...,3295634041883980068039766590270004436497276140227935090766971841068667944925568419104831694990713170121367176070188842603478362967481982819876401191679257147894312607774390125225052676851651385788636147348785575052911315367984347946986089668719491120023298261258969486661254632529142019805388331048787993541665737799640912235998977273359821375620832679649213936868007837693207534123494770019712144273977706546089332277792636735455747874331955060612987402104310696171252359940851078896559195042556716601577161340878412335093185290261914513242122626704330113962955022249732663529153638408415514051373051146897258977237631526975907976667061736332404804646194295422926062247944918442883834256836564551365504614258294043519334599599410401448387182124622648920572787323114284439087852169450914597249380005174294706328965139558551673240064703475518417668455679085107393575045171910961874036721022814760271626241933879701171778072984314501129075857415315660021990749173272154298053856621984425110229794795692125037599281811605636402064354485361054422670505976857593803978323712640885861098150756093712709830575313320195433901694582802380083274431373673459677312959684630729159622256836224389760104808695895282316697827797819793478621806747920112107903107301096691531440430775369024913525901809560407225267257540822474201501150683468760715728054313287820710828056770488363198105283811938527760342257329738806503688273345550899470999233015705731490790302988043348490042648942262419660242774619215347452755183912852116667132265288990951681563563667166665556904637116679658960614651323373096909861968660043086208466625166907631329365387376322842678983480086069470676114886036940391232217595621608587740236922590740257914973354702642458023584774452633867466235143505275727783630437620395600173493232211201236754515058306810747973404986080582652481114690771166157675313460542195520834570928352793658516914102726155414765655222117471436932049266325048974146348545599036104184327707291239370650775912871686888045807227906602640495474101062754320089996881219968587609724175761912596824888664269801438817025437032086884357448564568873069095828041380609238759616153753284295178196443102237256694368798386531238492642604093696595426321070928101486725998462278086505886122849538679434047534795133476973047589926896803015303184660123868697011541173138603894378568622163642960416128604208036190578767610226946723858876428915173939731948260126640392881537095824634330186082139939399254498872292419854789849384131711876146819076911680885066541193913883176701946425330800934137035730214140172884514750291958582285840982637881103808150605504123423997407215425248798531642940014131175206740353328576705684397526316018088850758602758905022652693664050145031123418119230805454792668729526376462779226737424774992798197268794608708600675011989892540859866864508308340936502985733807841190979229515984277300249485522369511123065319431531046138259246397266959303933395919861414248335341125558206303968935109685196146402323341062766768842909064741426597413585753604230525919595294247069192748}
19226  14442190331162458392308648167741011664032808400387688344279837616545181: {134533,192190,230628,249769,364933,422686,499486,653038,824869,845284,1075928,1210419,1440975,1537040,1573006,1649566,1729170,1844448,1997528,2017155,2075004,2151632,2247219,2337886,2401375,2420586,2567038,2653093,2881650,2993833,3073760,3145684,3169155,3177406,3380432,3457980,3688512,3802986,3938926,4149576,4522468,4668273,4705715,5229838,5646858,5678168,5760046,5808133,5919769,6354148,6387939,6591646,6722450,6921253,7345966,7724884,8023486,8066940,8137369,8247493,8474446,8604736,9524446,9603500,9680328,10217413,10496638,10645455,10890369,11355152,11367508,11524200,11615038,11763886,11838286,11948869,12097112,12292480,12486169,12774546,12964725,13128553,13555369,13609251,13829040,14193433,14511493,14539684,14750976,15251113,15557670,15777253,15832126,16199566,16594848,16824133,17136793,17519038,17528655,18174313,18358131,18380953,18669204,18697232,19561246,19622163,19819369,19944868,20431513,20813555,21012286,21034386,21218072,21328419,21693711,21849769,21879838,22252393,22453273,22501659,22601038,22679715,23035352,23253913,23353669,23464366,23525284,23735523,23823406,23870331,24191696,24939973,24976266,25146291,25327006,25390975,25914771,25969246,26410393,26643028,27215658,27259043,27284869,27462766,27671653,27821055,28256575,28525246,28633573,28861348,29111833,29135939,29372638,29675792,29733650,29865886,30288046,30428638,30469170,30593695,30724453,31006873,31100869,31340926,31481038,31513828,32087192,32390206,32409253,32500448,33366286,33385266,33427369,33716308,33907890,34253893,34269838,34625315,34710553,35125779,35309038,35447326,35680380,35799193,35911588,36098091,36137806,36168416,36563004,36591512,36712434,36787684,36895486,37145413,37498855,37505955,37582606,37662628,38033893,38059072,38099668,38941490,38972884,39211455,39566206,39597519,39615013,39634366,39770638,39779715,39974926,40006352,40136869,40150019,40689468,41165451,41344453,41550378,41622770,41825552,42009886,42024459,42431696,42617566,42619215,42816456,43129369,43372763,44051653,44499838,44716933,44783931,44847363,44998626,45007146,45295273,45460496,46105851,46450328,46635646,46702126,46729788,46766233,47053746,47170693,47299726,47722755,47735658,48054169,48168513,48470387,48623086,48905255,48923139,49018846,49165993,49536355,49947324,50648548,50807269,50884633,50904272,50989006,51143058,51321603,51682611,51685455,51932884,51960169,52120211,52256619,52644133,52719769,52749838,52795333,52995891,53214628,53380723,53528686,54512402,54563566,54890283,55028773,55112759,55131152,55337038,55613413,55630700,55758853,55842655,56048869,56195284,56300638,56337733,56428846,56768869,56838819,57260638,57267306,57357170,57835369,58686306,59232169,59443626,59461100,59508073,59584468,59851333,59988133,60428884,60532453,60623806,60875806,60976399,61064638,61206373,61253326,61590191,61666383,61961090,62022546,62598169,63444046,63572869,63693166,64149913,64190638,64594693,64633684,64784233,64996846,65078168,65345575,65397963,65722213,66047038,66368991,66399769,66591539,66725284,66756840,66783055,66785566,66847006,67011186,67249513,67907269,67946186,68039715,68460203,68497669,68682766,68828604,69138793,69243410,69413038,69475928,69641428,69864650,70225669,70507369,70886884,71207296,71353320,71529838,71560083,71834473,72213733,72575696,72850366,72908713,73172773,73212939,74005669,74211013,74353308,74737795,74820133,74970793,74984819,74994526,75019684,75101445,75290686,75517669,75958633,75999838,76110208,76176766,76532215,76775653,77011993,77019555,77293966,77469838,77479273,77614418,77645566,77762638,77874860,77923011,78075973,78160419,78414690,79046206,79123684,79406533,79664869,79835653,79920613,79941028,80108208,80139666,80206366,80272485,80291666,80299369,80507269,80553166,80556051,80580415,80842712,80876953,81079813,81647658,81677593,81819838,81912169,82067113,82154192,82259173,82487163,82525033,82898713,82964638,83092092,83359055,83373733,83553193,83642336,83766169,83801413,83837580,83976553,84010468,84216526,84457369,84499966,84841715,84956869,85065646,85190575,85225684,85312873,85623984,85937833,86192206,86239513,86248366,86475673,86678533,86736482,86921038,87032926,87085155,87481369,87487851,87974533,88037038,88099993,88149673,88203434,88203886,88259151,88264778,88426126,88513093,88592638,88746373,88837669,88972453,89082793,89382169,89426752,89567173,89685354,89976169,90084766,90121734,90318853,90325255,90353413,90461451,90505369,90603433,90651493,90730153,90911593,90948051,91256293,91307269,91346638,91381573,91441513,91599769,91729006,91838658,91891369,91892638,91933669,92056126,92062948,92091673,92111653,92173573,92179369,92201833,92228293,92296873,92323333,92336869,92363113,92379493,92405413,92409769,92423466,92890832,93142366,93260884,93267746,93449832,93597295,93629086,94097628,94301123,94336131,94456228,95067643,95130770,96203038,96326982,96528063,96575326,96696498,97065980,97370446,97474611,97800290,98319838,98425006,98748419,98779215,99501458,99525406,99848163,...,4943451062825970102059649885405006654745914210341902636150457761603001917388352628657247542486069755182050764105283263905217544451222974229814601787518885721841468911661585187837579015277477078682954221023178362579366973051976521920479134503079236680034947391888454229991881948793713029708082496573181990312498606699461368353998465910039732063431249019473820905302011756539811301185242155029568216410966559819133998416688955103183621811497932590919481103156466044256878539911276618344838792563835074902365742011317618502639777935392871769863183940056495170944432533374598995293730457612623271077059576720345888465856447290463861965000592604498607206969291443134389093371917377664325751385254846827048256921387441065279001899399115602172580773186933973380859180984671426658631778254176371895874070007761442059493447709337827509860097055213277626502683518627661090362567757866442811055081534222140407439362900819551757667109476471751693613786122973490032986123759908231447080784932976637665344692193538187556398922717408454603096531728041581634005758965286390705967485568961328791647226134140569064745862969980293150852541874203570124911647060510189515969439526946093739433385254336584640157213043842923475046741696729690217932710121880168161854660951645037297160646163053537370288852714340610837900886311233711302251726025203141073592081469931731066242085155732544797157925717907791640513385994608209755532410018326349206498849523558597236185454482065022735063973413393629490364161928823021179132775869278175000698397933486427522345345500749998335356955675019488440921976985059645364792952990064629312699937750361446994048081064484264018475220129104206014172329055410586848326393432412881610355383886110386872460032053963687035377161678950801199352715257913591675445656430593400260239848316801855131772587460216121960107479120873978721672036156749236512970190813293281251856392529190487775371154089233122148482833176207155398073899487573461219522818398554156276491560936859055976163869307530332068710841859903960743211151594131480134995321829952881414586263642868895237332996404702158225538155548130326536172846853309603643742062070913858139424230629926442767294664653355885041553197579796857738963906140544893139481606392152230088997693417129758829184274308019151071302192700215459571384890345204522954776990185803045517311759707905841567852933245464440624192906312054285868151415340420085788314643372760909597922390189960589322305643736951495279123209909098881748308438629782184774076197567814220228615367521327599811790870824765052919637996201401205553595321210259326772125437937873428761473956821655712225908256185135996110823137873197797464410021196762810110529992865058526596289474027133276137904138357533979040496075217546685127178846208182189003094289564694168840106137162489197295903191913062901012517984838811289800296762462511404754478600711761786468844273976415950374228283554266684597979147296569207388869595900438955900093879792121372503011688337309455953402664527794219603485011594150153264363597112139896120378630406345788879392941370603789122}
19227  14499361492934856803734549702833485956286133769321658028297661942275527: {288285,307504,345942,634029,749229,941437,979557,1056605,1267926,1344910,1613892,1747837,1882678,1921300,2305560,2359509,2459264,2474349,2496910,2593755,2689540,2766672,2957878,2996292,3112506,3227448,3506829,3630879,3842200,3850557,3932105,4225540,4322475,4610640,4718526,4766109,4918016,4968397,5070648,5186970,5532768,5653085,5704479,5908389,6224364,6783702,7097710,7529144,7730749,7844757,7942685,8470287,8517252,8640069,9456233,9531222,9656105,9887469,9935758,10083675,10146749,10584973,10755920,11018949,11172029,11587326,12004375,12035229,12100410,12432893,12711669,12907104,13082806,14193940,14209385,14286669,14405250,14463982,14520492,15121390,15311237,15365600,15459886,15744957,16360078,16765942,17032728,17051262,17260457,17286300,17422557,17645829,17757429,18070709,18145668,18164809,18174605,18438720,18565813,19161819,19667968,20155933,20708717,20743560,21167734,21809526,22126464,22777673,23100773,23336505,23371540,23748189,24299349,24366493,24477508,24892272,24931085,25966318,26162884,26278557,26522590,28003806,28045848,28076293,28437892,28752053,28794190,28924948,28930073,29341869,29406605,29917302,30002212,30239620,30740446,31312342,31512637,31518429,31551579,31647364,31827108,32017573,32746829,32819757,33301688,33303785,33528388,33901557,34553028,35005558,35196549,35287926,35334286,35391709,35735109,36076685,36287544,36325822,36501989,36597358,36831286,36880853,37094740,37127734,37464399,37483853,37990509,38953869,39392285,39777934,39964542,40108990,40369069,40625560,40644037,40823487,41194149,42145385,42488933,42787869,43292022,43603198,43946158,44058957,44421017,44513688,44541238,44600475,44798829,44889485,45210520,45432069,45642957,45703755,45739390,45984605,46042453,46834372,47011389,47078285,47221557,47270742,47573840,47624585,48130788,48239758,48585309,48716105,48727894,48750672,48949912,50007940,50049429,50077899,50361229,50574462,50861835,51404757,52281940,52796692,52963557,53022533,53039620,53170989,53329078,53520570,53597093,53709646,53710889,53867382,54206709,54252624,54844506,54887268,55068651,55181526,55343229,55400504,55987817,56032612,56064173,56373909,56493942,56825620,56829133,56943397,57088608,57149502,57466949,57911333,58062910,58412235,58459326,59349309,59442409,59451549,59655957,59711908,59796484,59962389,59998168,60009528,60791437,61034202,61474468,62306384,62325567,62434155,62738328,62897326,63014829,63310685,63503734,63630340,63647544,63674537,63926349,64224684,64494973,64916105,64989886,65230852,65900813,66518285,66572398,66596432,66749757,67491166,67497939,67510719,68190744,68316886,68428804,68910148,68913940,68929822,69538375,69675492,69953469,70053189,70094682,70244105,70580619,70661188,70737373,70776022,70949589,71603487,71873029,71884918,72022973,72740557,72934629,73121117,73187044,73528269,74326375,74480585,74920986,75074653,75536105,75724349,75785092,75972822,76356408,76483509,76714587,76953673,77899326,78248408,79124757,79258168,79611877,79821942,80293029,80792105,80898053,81279478,81347710,81768603,81845349,82221844,82391758,82577629,82696728,83005557,83406605,83446050,83524109,83699573,84292926,84450957,84509749,84643269,84712037,85890957,85900959,86035755,86541646,86635373,86844910,87051785,87197284,88029459,88365209,88491988,88608605,89009120,89165439,89191650,89348248,89376702,89559886,90120094,90568013,90643326,90719620,90935709,91313709,91480829,91596957,91771472,91879989,91980253,92075254,92167133,92193934,92941635,93033819,93354517,93774605,94110877,94225577,94785334,94801918,95137760,95166069,95413444,95539749,95602213,95918117,96285957,96313613,96950526,97343575,97495269,97617252,97979293,98373262,98904605,99070557,99137744,99273214,99321733,99919013,99926285,99959734,...,7415176594238955153089474828107509982118871315512853954225686642404502876082528942985871313729104632773076146157924895857826316676834461344721902681278328582762203367492377781756368522916215618024431331534767543869050459577964782880718701754618855020052421087832681344987822923190569544562123744859772985468747910049192052530997698865059598095146873529210731357953017634809716951777863232544352324616449839728700997625033432654775432717246898886379221654734699066385317809866914927517258188845752612353548613016976427753959666903089307654794775910084742756416648800061898492940595686418934906615589365080518832698784670935695792947500888906747910810453937164701583640057876066496488627077882270240572385382081161597918502849098673403258871159780400960071288771477007139987947667381264557843811105011642163089240171564006741264790145582819916439754025277941491635543851636799664216582622301333210611159044351229327636500664214707627540420679184460235049479185639862347170621177399464956498017038290307281334598384076112681904644797592062372451008638447929586058951228353441993187470839201210853597118794454970439726278812811305355187367470590765284273954159290419140609150077881504876960235819565764385212570112545094535326899065182820252242781991427467555945740969244580306055433279071510916256851329466850566953377589037804711610388122204897596599363127733598817195736888576861687460770078991912314633298615027489523809748274285337895854278181723097534102595960120090444235546242893234531768699163803917262501047596900229641283518018251124997503035433512529232661382965477589468047189429485096943969049906625542170491072121596726396027712830193656309021258493583115880272489590148619322415533075829165580308690048080945530553065742518426201799029072886870387513168484645890100390359772475202782697658881190324182940161218681310968082508054235123854769455286219939921877784588793785731663056731133849683222724249764310733097110849231360191829284227597831234414737341405288583964245803961295498103066262789855941114816727391197220202492982744929322121879395464303342855999494607053237338307233322195489804259270279964405465613093106370787209136345944889664150941996980033827562329796369695286608445859210817339709222409588228345133496540125694638243776411462028726606953289050323189357077335517806784432165485278704568275967639561858762351779399868196660936289359468081428802227123010630128682471965059141364396883585284940883983458465605427242918684814863648322622462657944673277161114296351721330342923051281991399717686306237147579379456994302101808330392981815388990158188156906810143142210935232483568338862384277703994166234706809796696196615031795144215165794989297587789894434211040699914206856207536300968560744112826320027690768269312273283504641434347041253260159205743733795943854787869594351518776977258216934700445143693767107131717901067642679703266410964623925561342425331400026896968720944853811083304393850658433850140819688182058754517532505964183930103996791691329405227517391225229896545395668209844180567945609518683319089412055905683683}
19228  14556757352942180447604618305705691960322736463549091200478173012576855: {269066,326587,384380,461256,499538,518913,729866,845372,901507,998972,1306076,1360147,1649738,1690568,1703371,1901889,2017365,2045947,2151856,2401625,2420838,2824017,2842771,2881950,3074080,3146012,3299132,3361925,3458340,3636067,3688896,3745365,3749107,3995056,4034310,4150008,4303264,4313227,4436817,4494438,4668759,4675772,4802750,4841172,5099971,5134076,5281925,5306186,5324107,5763300,5883187,5987666,5994787,6147520,6291368,6338310,6354812,6588001,6760864,6773971,6915960,7077789,7328371,7377024,7605972,7780455,7877852,8101507,8299152,8980771,9044936,9336546,9411430,9527971,10175553,10399747,10459676,10646565,11293716,11356336,11520092,11616266,11839538,11914267,12708296,12775878,13183292,13444900,13842506,14296833,14691932,14903637,15217627,15449768,15743947,16046972,16133880,16268467,16274738,16494986,16948892,17208067,17209472,17380989,17727547,17742425,17831227,18150615,19048892,19207000,19360656,19624209,19889707,20093971,20434826,20806627,20993276,21290910,21313507,21414667,21607875,21695973,21780738,22682085,22710304,22735016,23048400,23123371,23189829,23230076,23422747,23527772,23621971,23676572,23897738,24194224,24540117,24584960,24972338,25148913,25549092,25576893,25598371,25929450,26257106,26283307,26575771,27110738,27218502,27545971,27658080,27739147,28220827,28386866,28508971,29022986,29079368,29138977,29214425,29501952,29939971,30502226,30596885,31115340,31542187,31554506,31664252,31751601,32399132,32567827,32703605,32714289,32938627,33031147,33189696,33648266,34273586,34410307,35038076,35048371,35057310,35501971,35547365,36133987,36156185,36348626,36403771,36716262,36761906,37338408,37394464,37502765,37565347,37799525,38890507,38949477,39122492,39244326,39503371,39559205,39638738,39764947,39783885,39889736,40372771,40632187,40863026,40977067,41627110,41910485,42005709,42024572,42068772,42436144,42656838,42831173,42937771,43191285,43358971,43387422,43526947,43699538,43759676,44504786,44611771,44875953,44906546,45003318,45190867,45202076,45359430,45684427,46012027,46070704,46110669,46368425,46507826,46707338,46928732,46968513,47050568,47068771,47471046,47471971,47646812,47713027,47740662,48383392,48475441,48670771,48829387,49224667,49853371,49879946,49952532,50292582,50477467,50654012,50781950,50865187,51558547,51829542,51938492,52017547,52498397,52508337,52820786,52931889,53001429,53153707,53286056,53386289,54431316,54488733,54518086,54569587,54569738,54643387,54896037,54925532,54937867,55246929,55343306,55642110,55691601,55741747,56031907,56513150,56966971,57050492,57181027,57267146,57465427,57722696,58171387,58223666,58241587,58271878,58542965,58745276,59216827,59351584,59467300,59666901,59731772,59946813,60109771,60163485,60576092,60857276,60923227,60938340,60982757,61187390,61448906,61596613,61792771,61925467,62013746,62201738,62321827,62509925,62681852,62962076,63027656,63086309,63236587,63752971,63881347,64073371,64174384,64582267,64708771,64780412,64818506,64938033,65000896,65211907,65352425,65404797,65834347,65919237,65995865,66081307,66299525,66732572,66770532,66811857,66854738,67432616,67658467,67815780,68074771,68150093,68193067,68467357,68507786,68539676,68609085,69250630,69350897,69417787,69421106,70040765,70251558,70618076,70894652,70906113,71032025,71333347,71360760,71598386,71608027,71823176,72063017,72196182,72275612,72336832,72359637,72474907,72688747,73091841,73126008,73183024,73218307,73424868,73480387,73575368,73790972,73792507,74255827,74290826,74561467,74639885,74662771,74745605,74997710,75011910,75165212,75264547,75314227,75325256,75561547,75659971,75758107,75861693,76067786,76118144,76199336,76723627,76843085,77428867,77882980,77935747,77945768,78179717,78343987,78422910,78612907,79132412,79195038,79230026,79268732,79273867,79447387,79537925,79541276,79559430,79949852,79993617,80012704,80087827,80273738,80280855,80300038,80564469,80801073,80916547,81239971,81360067,81378936,81519187,81538565,81558787,81637771,82266759,82330902,82688906,82772289,83100756,83156971,83229907,83245540,83651104,83696971,83873371,83943427,84019772,84048918,84151867,84459667,84661627,84740913,84863392,85057771,85235132,85238430,85316107,85379971,85475227,85536005,85601227,85632912,85724253,86002771,86137685,86142425,86153971,86213947,86243827,86258738,86538667,86745526,86826307,87094365,87216907,87688989,87750427,88081771,88103306,88156507,88326485,88400947,88567771,88980547,88999676,89199787,89242771,89411827,89433866,89515147,89567862,89656771,89694726,89997252,90014292,90041971,90169987,90346747,90590546,90678667,90878971,90920992,91024771,91067107,91269067,91394707,91454827,91483805,91535971,91551303,91591771,91666867,91825267,92012971,92120971,92201467,92211702,92223787,92274547,92354467,92369947,92372827,92397667,92405587,92410771,92423371,92425027,92900656,93271292,93404252,93459576,93496277,93532466,94107492,94341386,94345989,94599452,94731365,95255601,95445510,95471316,96108338,96337026,96940774,97246172,97484829,97810510,97846278,98037692,98331986,99072710,99705089,99858597,99894648,...,9886902125651940204119299770810013309491828420683805272300915523206003834776705257314495084972139510364101528210566527810435088902445948459629203575037771443682937823323170375675158030554954157365908442046356725158733946103953043840958269006158473360069894783776908459983763897587426059416164993146363980624997213398922736707996931820079464126862498038947641810604023513079622602370484310059136432821933119638267996833377910206367243622995865181838962206312932088513757079822553236689677585127670149804731484022635237005279555870785743539726367880112990341888865066749197990587460915225246542154119153440691776931712894580927723930001185208997214413938582886268778186743834755328651502770509693654096513842774882130558003798798231204345161546373867946761718361969342853317263556508352743791748140015522884118986895418675655019720194110426555253005367037255322180725135515732885622110163068444280814878725801639103515334218952943503387227572245946980065972247519816462894161569865953275330689384387076375112797845434816909206193063456083163268011517930572781411934971137922657583294452268281138129491725939960586301705083748407140249823294121020379031938879053892187478866770508673169280314426087685846950093483393459380435865420243760336323709321903290074594321292326107074740577705428681221675801772622467422604503452050406282147184162939863462132484170311465089594315851435815583281026771989216419511064820036652698412997699047117194472370908964130045470127946826787258980728323857646042358265551738556350001396795866972855044690691001499996670713911350038976881843953970119290729585905980129258625399875500722893988096162128968528036950440258208412028344658110821173696652786864825763220710767772220773744920064107927374070754323357901602398705430515827183350891312861186800520479696633603710263545174920432243920214958241747957443344072313498473025940381626586562503712785058380975550742308178466244296965666352414310796147798975146922439045636797108312552983121873718111952327738615060664137421683719807921486422303188262960269990643659905762829172527285737790474665992809404316451076311096260653072345693706619207287484124141827716278848461259852885534589329306711770083106395159593715477927812281089786278963212784304460177995386834259517658368548616038302142604385400430919142769780690409045909553980371606091034623519415811683135705866490928881248385812624108571736302830680840171576629286745521819195844780379921178644611287473902990558246419818197763496616877259564369548152395135628440457230735042655199623581741649530105839275992402802411107190642420518653544250875875746857522947913643311424451816512370271992221646275746395594928820042393525620221059985730117053192578948054266552275808276715067958080992150435093370254357692416364378006188579129388337680212274324978394591806383826125802025035969677622579600593524925022809508957201423523572937688547952831900748456567108533369195958294593138414777739191800877911800187759584242745006023376674618911906805329055588439206970023188300306528727194224279792240757260812691577758785882741207578244}
19229  14614378787979080187468484155572421554655946304970666324617574379429283: {403599,480475,576570,615008,691884,749307,1056715,1094799,1248715,1268058,1479247,1498458,1632595,1882874,1959114,2113210,2324047,2474607,2535852,2689820,3227784,3495674,3631257,3765356,3842600,3932515,4123915,4322925,4611120,4719018,4918528,4948698,4993820,5187510,5379080,5504947,5533344,5844715,5915756,5992584,6051465,6225012,6417595,6454896,6741657,7013658,7204125,7261758,7684400,7701114,7806667,7864210,7914319,7943515,7959279,8451080,8644950,8981499,9221280,9437052,9457219,9507465,9532218,9836032,9847315,9936794,10108387,10141296,10147807,10373940,10568731,11065536,11119759,11306170,11408958,11816778,12448728,12854347,13074595,13203307,13518547,13567404,14004819,14117145,14195420,14400115,14693419,15058288,15461498,15689514,15885370,16479115,16631791,16806125,16940574,17034504,17112559,17280138,17424399,17759307,18364915,18912466,18952207,19062444,19163817,19291099,19312210,19774938,19871516,19893139,20058715,20167350,20293498,20402107,20561899,20763759,21169946,21186115,21511840,22037898,22344058,23103187,23174652,23751499,23811115,23888779,24008750,24070458,24200820,24348547,24412107,24742479,24865786,25423338,25444447,25814208,25818511,26165612,26241595,27504367,28387880,28418770,28573338,28755067,28810500,28927964,29037595,29040984,29171791,29409715,29493199,29595715,30242780,30622474,30652239,30731200,30919772,31254091,31489914,31936365,32333611,32671107,32720156,32750251,33531884,33856891,33979699,34065456,34102524,34520914,34572600,34845114,34903519,34996687,35005231,35291658,35514858,35846607,36141418,36291336,36329618,36349210,36877440,36884707,37131626,37458507,37531579,37902667,38323638,38679919,38894175,39335936,39385659,39580315,40311866,40498915,40666107,40827753,41169247,41417434,41487120,42335468,42493387,42580299,43534479,43619052,43797595,43806211,44252928,44299099,45069499,45555346,45753339,46201546,46625299,46673010,46743080,47331759,47487631,47496378,48598698,48732986,48903115,48955016,49647019,49784544,49862170,49895791,50230867,50472399,50507359,51410379,51932636,52325768,52525387,52530715,52557114,52585965,53045180,54522939,54699595,54819907,55074393,55142859,55149199,55729759,56007612,56091696,56152586,56481007,56502595,56875784,57504106,57588380,57849896,57860146,58558387,58660915,58683738,58813210,58866489,59003539,59458107,59558515,59834604,60004424,60086419,60479240,61294539,61480892,62440665,62548099,62574619,62624684,62845279,63025274,63036858,63103158,63294728,63317515,63342019,63654216,63862447,63985257,64035146,64320979,64378447,64724431,64923115,65081133,65493658,65549307,65639514,65909599,66257659,66603376,66607570,66674419,66757179,67056776,67359819,67504977,67803114,68039145,68156587,68202547,68656915,69106056,69761739,70011116,70061007,70245859,70393098,70575852,70668572,70783418,71165659,71206569,71313115,71470218,71610993,72153370,72438091,72443131,72575088,72651644,73003978,73194716,73431595,73662572,73761706,74189480,74255468,74334125,74474191,74664715,74819919,74928798,74967706,75175819,75438873,75720115,75981018,76071595,76172925,77087299,77744313,77882779,77907738,78352315,78539791,78702595,78784570,79039267,79231179,79555868,79769299,79929084,80217980,80738138,80975515,81251120,81288074,81646974,81777129,81854607,82319371,82388298,83014959,83415715,83463165,83708347,84290770,84398707,84769725,84977866,85118059,85264051,85575738,85674595,85900719,86129779,86584044,87048907,87206396,87335499,87407817,87782479,87892316,88117914,88272595,88618315,88634959,88842034,89027376,89069167,89082476,89200950,89597658,89778970,89987899,90033379,90344515,90415471,90421040,90577507,90864138,90882547,91285914,91407510,91478780,91781085,91969210,92084906,92173359,92238715,92361439,92675707,93020619,93125599,93302607,93469039,93668744,93956515,94022778,94156570,94235539,94443114,94541484,94678159,95116747,95147680,95249170,96217567,96261576,96479516,97170618,97227759,97353725,97432210,97455788,97501344,97710979,97899824,98085139,98341747,98523487,98915515,99085915,99089359,99426595,99937315,...,14830353188477910306178949656215019964237742631025707908451373284809005752165057885971742627458209265546152292315849791715652633353668922689443805362556657165524406734984755563512737045832431236048862663069535087738100919155929565761437403509237710040104842175665362689975645846381139089124247489719545970937495820098384105061995397730119196190293747058421462715906035269619433903555726465088704649232899679457401995250066865309550865434493797772758443309469398132770635619733829855034516377691505224707097226033952855507919333806178615309589551820169485512833297600123796985881191372837869813231178730161037665397569341871391585895001777813495821620907874329403167280115752132992977254155764540481144770764162323195837005698197346806517742319560801920142577542954014279975895334762529115687622210023284326178480343128013482529580291165639832879508050555882983271087703273599328433165244602666421222318088702458655273001328429415255080841358368920470098958371279724694341242354798929912996034076580614562669196768152225363809289595184124744902017276895859172117902456706883986374941678402421707194237588909940879452557625622610710374734941181530568547908318580838281218300155763009753920471639131528770425140225090189070653798130365640504485563982854935111891481938489160612110866558143021832513702658933701133906755178075609423220776244409795193198726255467197634391473777153723374921540157983824629266597230054979047619496548570675791708556363446195068205191920240180888471092485786469063537398327607834525002095193800459282567036036502249995006070867025058465322765930955178936094378858970193887938099813251084340982144243193452792055425660387312618042516987166231760544979180297238644831066151658331160617380096161891061106131485036852403598058145773740775026336969291780200780719544950405565395317762380648365880322437362621936165016108470247709538910572439879843755569177587571463326113462267699366445448499528621466194221698462720383658568455195662468829474682810577167928491607922590996206132525579711882229633454782394440404985965489858644243758790928606685711998989214106474676614466644390979608518540559928810931226186212741574418272691889779328301883993960067655124659592739390573216891718421634679418444819176456690266993080251389276487552822924057453213906578100646378714154671035613568864330970557409136551935279123717524703558799736393321872578718936162857604454246021260257364943930118282728793767170569881767966916931210854485837369629727296645244925315889346554322228592703442660685846102563982799435372612474295158758913988604203616660785963630777980316376313813620286284421870464967136677724768555407988332469413619593392393230063590288430331589978595175579788868422081399828413712415072601937121488225652640055381536538624546567009282868694082506520318411487467591887709575739188703037553954516433869400890287387534214263435802135285359406532821929247851122684850662800053793937441889707622166608787701316867700281639376364117509035065011928367860207993583382658810455034782450459793090791336419688361135891219037366638178824111811367366}
19230  14672226678236997213086674813674032323239145795908244069211176512536228: {211409,326621,365009,441761,538132,653174,768760,864855,901601,922512,999076,1037826,1283921,1398461,1459732,1690744,1703549,1803014,1902087,1997944,2084189,2247687,2612152,2720294,2824311,2843069,2880929,2938671,2994461,3169815,3299476,3362275,3381136,3406742,3410129,3674141,3787169,3803778,4034730,4091894,4303712,4351229,4706695,4763729,4803250,4841676,4876061,5137889,5243511,5362001,5648034,5685542,5763900,5883809,5921021,5995421,6148160,6242275,6255569,6292024,6598264,6723850,6916680,7078527,7272134,7377792,7394695,7423047,7490730,7498214,7781265,7990112,8068620,8139101,8300016,8322641,8579261,8606528,8626454,8873634,8988876,9127841,9337518,9346769,9351544,9605500,9682344,10199942,10268152,10520487,10563850,10612372,10618109,10648214,10892637,11051741,11412221,11526600,11551671,11766374,11796315,11951441,11975332,11989574,12023201,12295040,12560381,12582736,12676620,12709624,12810449,12967425,13131389,13176002,13451681,13521728,13547942,13831920,14155578,14196509,14267261,14298327,14514641,14656742,14691101,14754048,14905191,15211944,15254429,15560910,15755704,15780689,15850721,16095581,16203014,16598304,16827809,16959255,17001629,17113437,17209949,17725167,17744275,17833181,17961542,18089872,18178301,18453821,18557009,18673092,18763169,18822860,18900449,19055942,19071869,19277309,19721441,19891901,19994081,20096189,20351106,20799494,20842781,20919352,21147089,21293130,21315869,21417041,21921821,22458269,22587432,22625489,22712672,23040184,23159249,23192247,23232532,23325629,23425361,23534271,23624609,23657789,23679076,23757281,23828055,23828534,24418721,24839395,25339361,25410861,25416592,25551756,25601249,25732001,25920207,26286269,26318801,26366584,26481341,26889800,26967761,27387869,27685012,27742289,28320161,28368699,28544189,28593666,28968315,29118461,29383864,29662407,29807274,30132989,30251025,30322301,30435254,30440247,30448349,30542801,30637181,30731489,30899536,31170641,31487894,31545809,31754919,32093944,32106401,32267760,32478689,32536934,32549476,32602529,32707015,32757149,32989972,33056847,33127421,33404369,33516087,33897784,34048061,34416134,34418944,34444769,34761978,34870481,35052449,35415521,35455094,35484850,35662454,36013125,36105687,36159955,36168221,36301230,36437969,36527741,36766781,37298679,37510481,37803475,38013341,38097784,38101841,38135007,38219729,38414000,38455121,38649715,38721312,38748641,38836541,39070589,39248418,39537149,39624401,39682529,39779414,40187942,40377569,40869652,40900195,41354321,41613254,41914855,41986552,42265169,42378449,42581820,42627014,42628155,42632861,42829334,42835639,42860007,42942929,43215750,43391946,43561476,44034461,44117921,44312381,44395601,44783009,45306269,45361181,45364170,45420608,45470032,45689981,45785047,45933711,45963101,46044881,46096800,46246742,46262609,46379658,46460152,46831709,46845494,47055544,47234871,47243942,47316701,47353144,47795476,48119261,48199121,48388448,48676769,48703229,49080234,49169920,49178141,49230749,49766311,49859549,49944676,50250209,50297826,50618659,50819921,50871521,50897309,51098184,51153786,51196742,51667229,51781371,51858900,52024061,52049489,52201889,52267671,52503871,52514212,52566614,52657361,52858961,52919335,52934429,52937487,53110241,53151542,53272287,53460689,53908961,53983421,54212127,54221476,54231101,54437004,54494427,54523815,54527261,54601121,54674909,54944849,55042769,55091942,55316160,55382887,55478294,55627601,55697439,55773089,56039069,56063201,56441654,56544161,56773732,57017942,57117089,57485457,57685409,57850301,58045972,58158736,58272509,58277954,58389329,58428850,58668881,58674679,59003904,59178401,59247581,59569469,59879942,59912609,59981021,60049361,60140369,60276641,60467799,60548321,60796349,60953681,61004452,61065821,61193770,61556861,61933649,61955741,62021969,62126151,62230680,62352029,62461649,62614781,62658461,62876381,63084374,63092887,63109012,63309821,63328504,63503202,63782909,63911261,64018001,64612049,64798264,64864721,64915795,65135654,65345789,65407210,65428578,65740001,65781329,65877254,65905121,66062294,66110801,66213341,66306475,66356561,66379392,66417821,66458621,66763601,66905309,67207649,67267901,67296532,67328081,67667741,67687649,68024861,68084129,68157199,68333019,68547172,68789729,68820614,69100001,69196541,69254369,69302319,69847709,70009515,70076152,70096742,70113149,70114620,70245281,70301789,70564541,71003942,71029841,71094730,71232989,71244567,71361761,71854781,71891069,71945441,71985475,72070531,72267974,72312370,72485201,72697252,72770129,72807542,72898047,72929501,73099479,73228769,73246301,73432524,73523812,73803101,73906589,74026961,74232401,74266529,74556547,74673569,74676816,74788928,74793255,74942369,75005530,75025949,75092669,75130694,75275489,75341729,75523229,75572561,75599050,75671009,75687389,76167751,76175069,76639649,76750781,76851115,77066141,77253821,77455841,77733329,77781014,77898954,77993021,78244984,78265469,78280855,78488652,78669281,78835671,78935249,79006742,79118410,79242269,79277476,79459409,79529894,79567770,79689041,79717601,79760381,79779472,79859921,79944929,80240189,80309969,80541019,80745542,80765501,80928989,80983229,81104801,81172061,81212321,81264374,81265889,81305981,81531809,81610961,81702941,81726052,81954134,81960151,82041149,82246589,82424669,82576061,82688849,83182289,83218781,83254220,83472209,83674781,83722109,83820970,83886749,83898449,83968481,84011418,84049144,84061409,84137544,84142301,84228879,84405329,84484541,84686429,84841661,84872288,84984401,85114961,85313676,85340669,85404509,85436321,85489181,85562849,85662346,85709009,85750481,85875542,85966109,86228189,86256159,86268029,86382570,86416289,86553041,86582141,86707409,86717942,86774844,86790219,86821841,87053894,87075101,87121361,87185789,87240701,87399076,87513895,87519352,87617021,87765329,87919841,87970769,88025607,88096829,88146749,88179869,88219815,88278461,88335715,88559441,88707869,88792481,88883681,88936349,89003489,89009572,89128541,89223542,89427581,89434529,89510429,89571809,89679329,89751906,89813092,89894621,90006636,90008381,90027089,90058109,90095069,90186209,90204221,90293201,90334109,90363089,90381734,90404152,90549341,90565841,90647261,90695249,90700541,90718860,90814555,90880721,90895709,90915581,91046369,91207229,91251389,91290449,91299041,91341521,91362461,91368854,91415969,91464161,91476029,91493395,91499549,91541921,91609169,91666769,91705181,91788881,91833569,91846049,91879709,91918241,91926941,91977629,91993949,92023121,92024054,92033489,92078215,92078561,92127869,92141408,92147921,92173649,92210081,92219741,92221338,92232929,92242109,92292989,92320061,92336669,92362961,92374241,92388689,92394211,92398049,92400701,92407421,92409809,92417249,92424509,92425121,92432849,92434301,92437409,92441501,92444129,92447441,92448029,92736850,92819335,93015652,93414676,93857464,93937026,94101136,94137542,94537911,94555287,94654737,94942092,94943942,95293624,95426054,95481324,96052719,96766784,96950882,97341542,97658774,98057071,98240487,98449334,98459271,99444835,99706742,99759892,99905064,99911355,...,22245529782716865459268424484322529946356613946538561862677059927213508628247586828957613941187313898319228438473774687573478950030503384034165708043834985748286610102477133345269105568748646854073293994604302631607151378733894348642156105263856565060157263263498044034963468769571708633686371234579318956406243730147576157592993096595178794285440620587632194073859052904429150855333589697633056973849349519186102992875100297964326298151740696659137664964204097199155953429600744782551774566537257837060645839050929283261879000709267922964384327730254228269249946400185695478821787059256804719846768095241556498096354012807087378842502666720243732431361811494104750920173628199489465881233646810721717156146243484793755508547296020209776613479341202880213866314431021419963843002143793673531433315034926489267720514692020223794370436748459749319262075833824474906631554910398992649747866903999631833477133053687982909501992644122882621262037553380705148437556919587041511863532198394869494051114870921844003795152228338045713934392776187117353025915343788758176853685060325979562412517603632560791356383364911319178836438433916065562102411772295852821862477871257421827450233644514630880707458697293155637710337635283605980697195548460756728345974282402667837222907733740918166299837214532748770553988400551700860132767113414134831164366614692789798089383200796451587210665730585062382310236975736943899895845082468571429244822856013687562834545169292602307787880360271332706638728679703595306097491411751787503142790700688923850554054753374992509106300537587697984148896432768404141568288455290831907149719876626511473216364790179188083138490580968927063775480749347640817468770445857967246599227487496740926070144242836591659197227555278605397087218660611162539505453937670301171079317425608348092976643570972548820483656043932904247524162705371564308365858659819765633353766381357194989170193401549049668172749292932199291332547694080575487852682793493703244212024215865751892737411883886494309198788369567823344450182173591660607478948234787966365638186392910028567998483821159712014921699966586469412777810839893216396839279319112361627409037834668992452825990940101482686989389109085859825337577632452019127667228764685035400489620377083914731329234386086179820859867150969568071232006553420353296496455836113704827902918685576287055338199604589982808868078404244286406681369031890386047415895177424093190650755854822651950375396816281728756054444590944967867387973834019831483342889055163991028769153845974199153058918711442738138370982906305424991178945446166970474564470720430429426632805697450705016587152833111982498704120429390088589845095385432645497384967892763369683302633122099742620568622608902905682232338478960083072304807936819850513924303041123759780477617231201387831564363608783054556330931774650804101335431081301321395153703202928039109799232893871776684027275994200080690906162834561433249913181551975301550422459064546176263552597517892551790311990375073988215682552173675689689636187004629532541703836828556049957268236167717051049}
19231  14730301907317228039114906897639769088322587393754726628690636376038246: {19231,672665,807198,960950,979761,1153140,1230016,1248845,1383768,1479401,1498614,1556739,1748201,1824665,2113430,2189598,2285633,2497430,2536116,2704521,2746601,2958494,2996916,3265190,3765748,3918228,4080441,4124345,4226420,4648094,4949214,5071704,5110113,5379640,5505521,5705667,5773481,6052095,6137841,6455568,6991348,7204875,7262514,7530712,7685200,7807481,7865030,8182601,8247830,8472051,8528313,8645850,8984633,9222240,9226061,9438036,9837056,9897396,9987640,10085775,10109441,10375020,10569833,10758160,10908201,11009894,11066688,11120921,11236095,11247321,11297609,11689430,11831512,11985168,12006875,12102930,12450024,12835190,12909792,12939681,13265465,13310451,13483314,13786241,14006277,14027316,14408250,14523516,14969165,15191501,15299913,15368800,15402228,15613334,15728420,15828638,15845775,15887030,15918558,15972321,16633529,16902160,17289900,17649561,17962998,17984361,18304433,18442560,18874104,18914438,19014930,19064436,19655753,19672064,19694630,19764003,19873588,20160161,20216774,20282592,20295614,20321913,20747880,21137462,21233367,21979961,21985113,22131072,22239518,22612340,22817916,23070761,23341365,23528575,23633556,23753981,24111581,24304521,24897456,25536281,25708694,25710881,25821209,26149190,26225933,26406614,26545793,26942313,27037094,27134808,28009638,28082201,28234290,28390840,28583913,28800230,29040665,29174849,29386838,29496281,29598845,29660561,30116576,30526659,30922996,31199241,31379028,31673609,31770740,31939695,32505161,32958230,33263582,33335561,33612250,33860429,33881148,33983261,34069008,34225118,34475753,34560276,34606265,34848798,35008889,35518614,35742801,36191849,36729830,36738233,36936653,37535501,37824932,37904414,38124888,38327634,38582198,38624420,38683961,39549876,39743032,39786278,40117430,40334700,40586996,40652633,40686845,40804214,41123798,41173601,41208833,41237465,41359721,41434001,41527518,42339892,42372230,42890499,43023680,44075796,44119889,44688116,44710911,44794061,45652881,46206374,46349304,46827329,47231841,47492609,47502998,47622230,47777558,48017500,48140916,48401640,48697094,48805401,48824214,49484958,49731572,50313329,50371793,50846676,50888894,51087065,51624201,51628416,51637022,51645821,52142967,52331224,52483190,52790321,53182641,53227275,53493681,54451845,55008734,55087601,55412441,55735601,56698481,56775760,56837540,57146676,57510134,57621000,57855928,58075190,58081968,58343582,58819430,58872627,58967753,58986398,59191430,59669121,59744345,60281913,60485560,60963593,61244948,61304478,61316633,61462400,61839544,62419881,62430845,62508182,62979828,63869201,63872730,63940521,64244001,64667222,64823625,65087919,65342214,65440312,65447609,65500502,65642765,66750281,66861761,67063768,67713782,67776845,67959398,68046255,68130912,68205048,68464361,68793161,69041828,69145200,69370113,69569487,69690228,69807038,69993374,70010462,70268241,70583316,70865913,70967165,71029716,71693214,71888153,72282836,72557465,72582672,72659236,72698420,73543001,73620351,73754880,73769414,74263252,74917014,75063158,75090401,75446739,75473801,75565433,75805334,76175009,76255565,76579433,76647276,76730679,76795113,77359838,77439209,77732381,77788350,78671872,78771318,78849921,78886265,79103633,79160630,79727313,79777661,80604401,80623732,80997830,81332214,81655506,82125281,82338494,82637913,82834868,82894841,82974240,83217441,83381921,83424329,84020033,84120665,84662481,84670936,84986774,85160598,85272989,85526913,85608653,85683965,86156393,87004193,87017633,87068958,87238104,87416931,87595190,87612422,87643275,87791681,87996569,88014953,88505856,88598198,88644521,89423273,89482481,89819913,90138998,90871565,90892361,91110692,91506678,91790655,91904765,92371121,92403092,92819753,93250598,93346020,93486160,94626561,94663518,94975262,94992756,95254803,95529401,96119681,96193961,96637481,97197396,97465972,97703481,97806230,97910032,98095421,98110815,98142867,98815881,98927921,99093441,99096845,99294038,99569088,99724340,99791582,99838361,99962393,...,29660706376955820612357899312430039928475485262051415816902746569618011504330115771943485254916418531092304584631699583431305266707337845378887610725113314331048813469969511127025474091664862472097725326139070175476201838311859131522874807018475420080209684351330725379951291692762278178248494979439091941874991640196768210123990795460238392380587494116842925431812070539238867807111452930177409298465799358914803990500133730619101730868987595545516886618938796265541271239467659710069032755383010449414194452067905711015838667612357230619179103640338971025666595200247593971762382745675739626462357460322075330795138683742783171790003555626991643241815748658806334560231504265985954508311529080962289541528324646391674011396394693613035484639121603840285155085908028559951790669525058231375244420046568652356960686256026965059160582331279665759016101111765966542175406547198656866330489205332842444636177404917310546002656858830510161682716737840940197916742559449388682484709597859825992068153161229125338393536304450727618579190368249489804034553791718344235804913413767972749883356804843414388475177819881758905115251245221420749469882363061137095816637161676562436600311526019507840943278263057540850280450180378141307596260731281008971127965709870223782963876978321224221733116286043665027405317867402267813510356151218846441552488819590386397452510934395268782947554307446749843080315967649258533194460109958095238993097141351583417112726892390136410383840480361776942184971572938127074796655215669050004190387600918565134072073004499990012141734050116930645531861910357872188757717940387775876199626502168681964288486386905584110851320774625236085033974332463521089958360594477289662132303316662321234760192323782122212262970073704807196116291547481550052673938583560401561439089900811130790635524761296731760644874725243872330032216940495419077821144879759687511138355175142926652226924535398732890896999057242932388443396925440767317136910391324937658949365621154335856983215845181992412265051159423764459266909564788880809971930979717288487517581857213371423997978428212949353228933288781959217037081119857621862452372425483148836545383779558656603767987920135310249319185478781146433783436843269358836889638352913380533986160502778552975105645848114906427813156201292757428309342071227137728661941114818273103870558247435049407117599472786643745157437872325715208908492042520514729887860236565457587534341139763535933833862421708971674739259454593290489850631778693108644457185406885321371692205127965598870745224948590317517827977208407233321571927261555960632752627627240572568843740929934273355449537110815976664938827239186784786460127180576860663179957190351159577736844162799656827424830145203874242976451305280110763073077249093134018565737388165013040636822974935183775419151478377406075107909032867738801780574775068428526871604270570718813065643858495702245369701325600107587874883779415244333217575402633735400563278752728235018070130023856735720415987166765317620910069564900919586181582672839376722271782438074733276357648223622734732}
19232  14788605362244039394199402239929378769988922272169825846797595814531889: {249847,365047,422818,653242,730018,883522,1076264,1210797,1306348,1441425,1537520,1729710,1803202,1845024,1998152,2075652,2247921,2567842,2796922,2881231,2919464,3108247,3170145,3284397,3381488,3407098,3448231,3606028,3746145,3804174,3995888,4168378,4239007,4437741,4495374,4707185,4897785,5224304,5283025,5440588,5648622,5686138,5761858,5877342,5921647,5988922,6339630,6589373,6598952,6724550,6762272,6813484,6820258,6972141,7034407,7348282,7423821,7574338,7607556,8069460,8183788,8250127,8607424,8702458,8739185,9413390,9527458,9606500,9683352,9752122,10111831,10275778,10352573,10487022,10655431,10724002,10893771,11296068,11371084,11527800,11767618,11797545,11842042,11990842,12296320,12371745,12484550,12511138,12584048,12811831,12968775,13132807,13196528,13447700,13666327,13833360,13879231,14157054,14544268,14755584,14789390,14846094,14981460,14996428,15562530,15677287,15980224,16137240,16278202,16514841,16600032,16645282,16829647,17158522,17213056,17252908,17534145,17747268,17977752,18154395,18255682,18387007,18593431,18675036,18693538,18703088,18799567,19108231,19211000,19252785,19313647,19364688,19660525,20224971,20399884,20536304,21040974,21127700,21149431,21224744,21236218,21296428,21612375,21785274,22103482,22824442,23053200,23103342,23361487,23420001,23532748,23592630,23660431,23742957,23830545,23877837,23902882,23950664,23979148,24046402,24590080,24652231,24841985,25120762,25165472,25353240,25419248,25620898,25934850,26126431,26262778,26321767,26352004,26903362,26944497,27043456,27095884,27390967,27663840,28265425,28311156,28355407,28371657,28393018,28522395,28534522,28596654,29029282,29217247,29313484,29382202,29508096,29541945,29693527,29810382,30168007,30325161,30423888,30443421,30451831,30508858,31111567,31121820,31205527,31393231,31511408,31561378,31701442,31706193,31861231,32191162,32406028,32513407,33196608,33359277,33438967,33655618,33918510,34003258,34226874,34357327,34419898,34775153,34904887,35450334,35488550,35666362,35923084,36179744,36356602,36907642,37114018,37158487,37346184,37514887,37526338,37645720,37781431,37800898,38047327,38111884,38143738,38224231,38489047,38554618,38563041,38653745,39104431,39223785,39442882,39609921,39713425,39783802,39988162,40192378,40237927,40555641,40702212,41445007,41598988,41685562,41838704,41872687,42014457,42294178,42351435,42383527,42586260,42631738,42834082,43200345,43843642,44067607,44080257,44234431,44816047,44916538,45174864,45250978,45425344,45789821,46080368,46318498,46384494,46465064,46651258,46702231,46850722,47068542,47249218,47281165,47315578,47358152,47514562,47656110,47657068,48280525,48709231,48837442,49341967,49437345,49678790,49895373,50282431,50418375,50623937,50678722,50733745,50821722,50826247,50833184,50903647,51103512,51202498,51337677,51464002,51840414,52056007,52273197,52572538,52637602,52733168,52739647,52815247,52924865,52962682,52966231,53116927,53277921,53492407,53779600,53935522,54109601,54775738,55049767,55094745,55370024,55484578,55860145,55925431,56070367,56431447,56640322,56647231,56737398,56856621,57088378,57148207,57187332,57260273,57361831,57491451,57873297,57928327,57936630,58236922,58560127,58680797,58767728,59324814,59614548,59679417,60011647,60021875,60176145,60265978,60284527,60502050,60644602,60870508,60880494,60896698,61085602,61206321,61274362,61462978,61685697,61799072,61963927,62162431,62164465,62291277,62341282,62688607,62975788,63091618,63145231,63339847,63509838,63558345,64187888,64212802,64535520,64873447,64957378,65073868,65098952,65205058,65414030,65514298,65979944,66113694,66254842,66488047,66792967,66808738,67032174,67306129,67337287,67696927,67795568,68096122,68584687,68832268,68837888,68889538,69109567,69283231,69309561,69398647,69523956,69571231,69740962,70104898,70311607,70705231,70831042,70910188,70969700,71046925,71254497,71261431,71324908,71433345,71666337,71701207,72026250,72211374,72319910,72336442,72602460,72875938,73045641,73055482,73236321,73256767,73533562,74087069,74227437,74564321,74597358,75020962,75053527,75550687,75606950,75698431,76026682,76040647,76175693,76195568,76203682,76270014,76333341,76439458,76556185,76666831,76828000,76910242,77299430,77442624,77455533,77497282,77673082,77836831,78065431,78141178,78292231,78496836,78724785,78829207,79074298,79248802,79365058,79558828,79914607,80336167,80375884,80549417,80755138,80791567,80995687,81739304,81754927,81800390,81989287,82450231,82497481,82513101,82563847,82708642,82937887,83226508,83485447,83829710,83841487,83911831,83973104,84430231,84530338,84666607,84756898,84766831,85163640,85254028,85256310,85265722,85576831,85658668,85671278,85720014,85885858,85980247,86265201,86302285,86430607,86431500,86783892,87112785,87122952,87145207,87418447,87515373,87525727,87605431,87943327,88068922,88229145,88235842,88479597,88558927,88624762,88723231,88787145,88791202,88951831,89129527,89450287,89566018,89634967,89833327,90016433,90043207,90172231,90350431,90353545,90612538,90717127,90722362,90728340,90811087,90824045,90841216,90873025,90882113,90940064,91091527,91133431,91268431,91379962,91396231,91570094,91662847,91684231,91766887,91806487,91867422,91900447,91926202,91956717,91995487,92089762,92191831,92193600,92234167,92356567,92396167,92422087,92429431,92444047,92456431,92467231,92467447,92493484,92525218,92759316,92829065,92920304,93663418,93690988,93762273,94111088,94236253,94469742,94487884,94633402,94706288,95590952,95809095,96238522,96398242,96776896,97000833,97353538,97406458,98013321,98160468,98250753,98339840,98356282,98461498,99532622,99719098,99889352,...,44491059565433730918536848968645059892713227893077123725354119854427017256495173657915227882374627796638456876947549375146957900061006768068331416087669971496573220204954266690538211137497293708146587989208605263214302757467788697284312210527713130120314526526996088069926937539143417267372742469158637912812487460295152315185986193190357588570881241175264388147718105808858301710667179395266113947698699038372205985750200595928652596303481393318275329928408194398311906859201489565103549133074515674121291678101858566523758001418535845928768655460508456538499892800371390957643574118513609439693536190483112996192708025614174757685005333440487464862723622988209501840347256398978931762467293621443434312292486969587511017094592040419553226958682405760427732628862042839927686004287587347062866630069852978535441029384040447588740873496919498638524151667648949813263109820797985299495733807999263666954266107375965819003985288245765242524075106761410296875113839174083023727064396789738988102229741843688007590304456676091427868785552374234706051830687577516353707370120651959124825035207265121582712766729822638357672876867832131124204823544591705643724955742514843654900467289029261761414917394586311275420675270567211961394391096921513456691948564805335674445815467481836332599674429065497541107976801103401720265534226828269662328733229385579596178766401592903174421331461170124764620473951473887799791690164937142858489645712027375125669090338585204615575760720542665413277457359407190612194982823503575006285581401377847701108109506749985018212601075175395968297792865536808283136576910581663814299439753253022946432729580358376166276981161937854127550961498695281634937540891715934493198454974993481852140288485673183318394455110557210794174437321222325079010907875340602342158634851216696185953287141945097640967312087865808495048325410743128616731717319639531266707532762714389978340386803098099336345498585864398582665095388161150975705365586987406488424048431731503785474823767772988618397576739135646688900364347183321214957896469575932731276372785820057135996967642319424029843399933172938825555621679786432793678558638224723254818075669337984905651981880202965373978778218171719650675155264904038255334457529370070800979240754167829462658468772172359641719734301939136142464013106840706592992911672227409655805837371152574110676399209179965617736156808488572813362738063780772094831790354848186381301511709645303900750793632563457512108889181889935734775947668039662966685778110327982057538307691948398306117837422885476276741965812610849982357890892333940949128941440860858853265611394901410033174305666223964997408240858780177179690190770865290994769935785526739366605266244199485241137245217805811364464676957920166144609615873639701027848606082247519560955234462402775663128727217566109112661863549301608202670862162602642790307406405856078219598465787743553368054551988400161381812325669122866499826363103950603100844918129092352527105195035785103580623980750147976431365104347351379379272374009259065083407673657112099914536472335434102098}
19233  14847137933477833189625809072050904119674892590164262999960020402554892: {38462,634227,941731,979863,1095027,1325283,1345330,1614396,1632935,1748383,1921900,1959522,2306280,2324531,2460032,2497690,2554531,2594565,2704803,2767536,2958802,2997228,3113478,3245983,3496402,3649330,3851763,4195383,4226860,4379196,4507535,4571266,4994860,5072232,5110647,5409042,5493202,5706261,5774083,5916988,5993832,6252567,6530380,6743061,6800735,7531496,7836456,8160882,8248690,8452840,8472933,8516855,8529207,8642787,8650631,8816013,8983383,9227023,9296188,9509445,9898428,10086825,10143408,10220226,10229735,10230387,10759280,11011042,11022423,11298787,11361507,11411334,11546962,12008125,12104190,12275682,12436787,12793727,12911136,13053687,13982696,14120085,14213855,14291187,14409750,14525028,14628183,15061424,15370400,15413667,15614962,15730060,15730533,16086003,16365202,16495660,16809625,16944102,17056626,17265863,17291700,17473907,17651427,17763063,17969266,17986263,18180335,18444480,18452122,18571651,18726825,18745535,18766707,18876072,19214471,19657807,19674112,19794792,19975280,20171550,20218882,20715203,20750040,20956831,21139666,21235581,21243431,21516320,21566135,21816402,22019788,22133376,22184085,22241842,22269141,22472190,22494642,22595218,22784807,23343795,23352383,23378860,23663024,23970336,24013750,24205860,24417303,24900048,24967923,25499855,25670380,25737783,25819584,25879362,26110991,26409625,26530930,26548567,26620535,26620902,26966628,27383523,27572482,28012554,28040307,28054632,28816500,29047032,29415935,29938330,29973935,30383002,30599826,30737600,30804456,31226668,31253987,31260647,31456840,31561461,31657276,31691550,31774060,31837116,31854327,31944642,32677911,32940005,33155223,33267058,33804320,33869855,34236663,34479367,34579800,34655013,35299122,35388945,35854323,35925996,35968722,36069603,36195631,36608866,36641855,36885120,37432447,37681143,37748208,37828876,38029860,38128872,38431347,38902275,39140687,39311506,39344128,39389260,39394167,39528006,39747176,39984131,40320322,40355043,40433548,40507535,40565184,40591228,40643826,40656931,41438383,41495760,41589047,42274924,42278051,42466734,42589527,42801783,42894981,43543923,43959922,43970226,44073303,44262144,44434991,44479036,44715573,44903855,45224680,45635832,45763287,46024247,46056931,46141522,46682730,47057150,47267112,47342067,47507962,47552163,47639855,48223162,48286743,48448771,48609042,49794912,50483427,50877765,51004887,51072562,51340311,51417388,51421762,51629847,51642418,51998735,52141687,52298380,52451866,52813228,53091586,53175501,53232825,53499543,53884626,54074188,54269616,54534903,54848387,55361463,55661231,55671027,56019276,56164402,56289507,56468580,56701347,56781680,56961583,57167826,57215607,57485027,57600460,57732451,57831927,57929591,58081330,58349698,58773676,58992562,59000947,59164323,59197690,59321122,59461207,59571335,59675703,59791367,59982243,60099023,60233152,60288567,61053318,61845992,62398482,62528343,62758056,63347218,63441267,63541480,63879390,63947607,64251123,64694531,65010322,65765463,65916460,66527164,66671122,67224500,67374807,67720858,67762296,67876467,67966522,68138016,68450236,68951506,69120552,69212530,69477747,69576741,69697596,69976887,70017778,70276083,70602813,70873827,70973367,71037228,71271843,71484165,71485602,71521891,72383698,72458327,73256163,73268327,73459660,73476466,73873306,74518185,75071002,75481783,75649864,75748223,75808828,76018083,76088135,76232583,76249776,76655268,76803747,76977871,77164396,77196003,77248840,77367922,77760621,78350627,78719735,78858807,78956403,79099752,79368707,79444023,79486064,79572556,80234860,80669400,80903283,81173992,81305266,81342335,81373690,81608428,82163607,82247596,82347202,82417666,82474930,82719442,82831871,82868002,83055036,83226867,83642083,84536323,84679784,84744460,84960483,85106097,85632567,85780998,86040335,86047360,86147903,86644631,86663027,86877367,86904945,87355383,87403183,88151592,88239778,88393007,88637735,88712125,88987221,89156135,89177731,89376232,89421822,89432647,89588122,89605231,90398967,90753075,90966903,91305762,91320741,91345047,91628403,91899871,91911543,92194467,92196191,92412748,92698608,92719847,93511923,93654658,94463682,94637427,94887583,94985218,95005996,95244460,95264757,95478527,95555116,95948291,96035000,96281832,96319203,96803280,97394188,97436067,97610802,97648428,97807587,98121045,98271447,98756867,98969916,99170541,99354031,99382263,99448535,99463144,...,66736589348150596377805273452967589839069841839615685588031179781640525884742760486872841823561941694957685315421324062720436850091510152102497124131504957244859830307431400035807316706245940562219881983812907894821454136201683045926468315791569695180471789790494132104890406308715125901059113703737956869218731190442728472778979289785536382856321861762896582221577158713287452566000769092899170921548048557558308978625300893892978894455222089977412994892612291597467860288802234347655323699611773511181937517152787849785637002127803768893152983190762684807749839200557086436465361177770414159540304285724669494289062038421262136527508000160731197294085434482314252760520884598468397643700940432165151468438730454381266525641888060629329840438023608640641598943293064259891529006431381020594299945104779467803161544076060671383111310245379247957786227501473424719894664731196977949243600711998895500431399161063948728505977932368647863786112660142115445312670758761124535590596595184608482153344612765532011385456685014137141803178328561352059077746031366274530561055180977938687237552810897682374069150094733957536509315301748196686307235316887558465587433613772265482350700933543892642122376091879466913131012905850817942091586645382270185037922847208003511668723201222754498899511643598246311661965201655102580398301340242404493493099844078369394268149602389354761631997191755187146930710927210831699687535247405714287734468568041062688503635507877806923363641080813998119916186039110785918292474235255362509428372102066771551662164260124977527318901612763093952446689298305212424704865365872495721449159629879534419649094370537564249415471742906781191326442248042922452406311337573901739797682462490222778210432728509774977591682665835816191261655981833487618516361813010903513237952276825044278929930712917646461450968131798712742572488116114692925097575979459296900061299144071584967510580204647149004518247878796597873997643082241726463558048380481109732636072647597255678212235651659482927596365108703470033350546520774981822436844704363899096914559178730085703995451463479136044765099899759408238333432519679649190517837957337084882227113504006977358477972820304448060968167327257579476012732897356057383001686294055106201468861131251744193987703158258539462579601452908704213696019660261059889489367508341114483708756056728861166014598813769948426604235212732859220044107095671158142247685532272279571952267564467955851126190448845186268163333772834903602163921502059494450028667165491973086307461537922597459176756134328214415112948718916274973536836338500911423693412161291288279898417092352115049761458499335947496112361288170265769535286156297936492154903678290109049907899366299227861705867826708717046697015436880249216914423810459551541772909123371279341432851693604163494693090826349163668992795323952412304006293243903964185461109608784117329397698681615330052081827982600242072718488503684299749739544655925904651267377193638528790657792553677655370935971125221964647047656521027069068908561013888597625111510485668149871804708503151153147}
19234  14905900514928361757376216371976262362279266434323113802658861433847588: {57693,441853,499694,730094,845636,1016593,1306484,1360573,1460036,1767044,2017995,2152528,2160673,2402375,2421594,2612696,2882850,2939283,3075040,3459420,3606404,3690048,3746535,3750289,3996304,4151304,4427233,4438203,4495842,4670217,5135684,5244603,5283575,5473995,5593844,5762462,5838928,5996689,6216494,6243575,6340290,6568794,6590059,6762976,6814196,6856899,6896462,7212056,7396235,7492290,7608348,7991776,8104093,8113563,8162975,8239803,8336756,8478014,8654353,8875482,8990748,9202813,9414370,9421693,9749473,9795570,10448608,10511773,10566050,10881176,11297244,11372276,11486689,11523716,11620235,11754684,11843294,11918113,11977844,12025789,12234859,12241323,12373035,12679260,13178746,13197904,13449100,13524544,13626968,13640516,13944282,14068814,14270353,14696564,14847642,15117073,15148676,15215112,15330339,15854173,16138920,16168993,16367576,16500254,16516563,17117001,17214848,17317789,17320443,17404916,17478370,17837089,17940733,18156285,18413523,18826780,19054916,19213000,19366704,19504244,19662575,19794013,19998493,20223662,20551556,20619575,20705146,20974044,21310862,21421789,21448004,21522913,21614625,21787542,22592136,22742168,22931089,23055600,23422443,23535236,23595090,23684084,23981684,24547803,24592640,24743490,24969100,25022276,25168096,25410589,25416153,25584939,25623662,25803133,25937550,26265614,26389789,26393056,26895400,26953899,27332654,27458593,27524735,27666720,27678183,27758462,28314108,28326589,28806289,29088536,29223575,29511168,29578780,29692188,29962920,29992856,30257325,30328323,31125060,31354574,31709499,31960448,32087975,32113789,32274480,32556404,32724603,32950033,33029682,33042589,33135073,33200064,33290564,33362763,33659294,33708285,33741963,33892827,34317044,34426112,34505816,34513693,34778779,34878589,35068290,35494536,35955504,36020625,36146653,36308790,36511364,36596113,36774014,37186862,37350072,37387076,37406176,37578589,37599134,37667473,38216462,38422000,38505570,38627294,38729376,38819043,38904289,39033335,39321050,39430033,39571595,39691933,39717575,39796395,39931353,40449942,40560253,40733053,40799768,41072608,41077789,41358723,42018831,42081948,42255400,42275293,42298862,42445213,42449488,42472436,42592856,43224750,43570548,44206964,44461789,44907495,45207313,45372193,45574503,45648884,45899739,46028833,46106400,46206684,46722974,46840002,47065496,47185260,47286095,47320862,47485914,47537325,47661090,47755674,47805764,47901328,47916963,47958296,48092804,48847453,49180160,49236575,49242913,49304462,49683970,49900587,50241524,50330944,50496289,50541935,50706480,50739035,50838496,50884189,51241796,51869700,52252862,52525556,52643534,52704008,52843655,52948683,53173789,53806724,53888994,53953083,54086912,54115243,54191768,54590353,54664189,54781934,54913299,55327680,55598795,56198113,56530850,56622312,56710814,56743314,56786036,57044790,57069044,57193308,58058564,58193953,58264189,58434494,58626968,58764404,58893073,58967259,59016192,59032033,59083890,59239933,59292009,59387054,59620764,60336014,60337789,60480483,60650322,60847776,60886842,60903662,60947233,60965739,61014589,61017716,61750753,62223134,62243640,62346589,62411054,62412433,62675089,62786462,63022816,63122756,63326689,63402884,63412386,63700101,63722462,64035133,64271735,64382324,64608289,64812056,65026814,65175613,65372975,65488273,65799133,65922973,65939883,65955339,66016535,66108193,66193631,66231313,66393216,66476689,66718554,66877934,67311236,67313147,67592735,67746013,67837020,68006516,68043553,68221213,68453748,68714654,68839796,69157789,69212283,69550306,69809774,70024095,70528093,70585725,70900668,70977100,71027243,71261943,71332724,71846168,71911393,71947931,72000575,72334743,72359488,72505789,72559393,72713204,72913563,73302289,73467095,73815284,73876093,74094811,74134033,74228036,74287933,74316974,74644513,74692368,75029774,75052676,75291440,75297373,75347089,75396733,75562862,75601796,76094654,76223768,76287476,76448462,76608843,76805089,76978094,77109236,77126082,77132643,77229853,77307490,77463627,77787133,78016273,78204203,78208862,78424189,78447570,78648289,78677799,78692893,78885764,79219842,79426850,79543607,79567604,79637379,79741789,79976324,80208673,80334493,80384756,80475854,80790289,80826939,81111282,81404424,81557053,81596689,81636253,82395575,82506083,82714813,82890014,82901473,83158955,83159773,83197976,83269393,83371124,83677408,83745374,84028914,84030625,84192289,84246603,84329953,84588356,84702870,84736033,84767054,84869089,85164253,85172520,85263476,85485373,85548733,85562795,85668164,85751739,86256673,86286589,86400690,86610913,86869789,86898193,87030251,87121995,87150589,87260893,87524547,87687284,87716833,87795133,87821089,88076689,88135214,88160514,88325089,88468862,88488843,88796535,88981683,89268253,89332513,89479933,89632094,89833076,90025819,90236689,90325789,90349728,90501956,90565693,90744289,90850688,90973789,91241233,91333213,91506589,91579642,91579977,91729789,91824575,91830589,92018833,92058973,92119453,92154913,92160736,92203067,92289553,92334589,92381713,92393053,92429089,92452093,92464189,92470813,92636996,92768988,92930128,93302516,93404462,93597723,93701444,94137084,94246079,94498436,94562330,94631156,94716304,94761035,95020827,95029124,95312220,95314136,95819085,96455495,96561050,97418462,97497023,97515483,97674884,98683934,98874690,99357580,99465695,99790746,...,88982119130867461837073697937290119785426455786154247450708239708854034512990347315830455764749255593276913753895098750293915800122013536136662832175339942993146440409908533381076422274994587416293175978417210526428605514935577394568624421055426260240629053053992176139853875078286834534745484938317275825624974920590304630371972386380715177141762482350528776295436211617716603421334358790532227895397398076744411971500401191857305192606962786636550659856816388796623813718402979130207098266149031348242583356203717133047516002837071691857537310921016913076999785600742781915287148237027218879387072380966225992385416051228349515370010666880974929725447245976419003680694512797957863524934587242886868624584973939175022034189184080839106453917364811520855465257724085679855372008575174694125733260139705957070882058768080895177481746993838997277048303335297899626526219641595970598991467615998527333908532214751931638007970576491530485048150213522820593750227678348166047454128793579477976204459483687376015180608913352182855737571104748469412103661375155032707414740241303918249650070414530243165425533459645276715345753735664262248409647089183411287449911485029687309800934578058523522829834789172622550841350541134423922788782193843026913383897129610671348891630934963672665199348858130995082215953602206803440531068453656539324657466458771159192357532803185806348842662922340249529240947902947775599583380329874285716979291424054750251338180677170409231151521441085330826554914718814381224389965647007150012571162802755695402216219013499970036425202150350791936595585731073616566273153821163327628598879506506045892865459160716752332553962323875708255101922997390563269875081783431868986396909949986963704280576971346366636788910221114421588348874642444650158021815750681204684317269702433392371906574283890195281934624175731616990096650821486257233463434639279062533415065525428779956680773606196198672690997171728797165330190776322301951410731173974812976848096863463007570949647535545977236795153478271293377800728694366642429915792939151865462552745571640114271993935284638848059686799866345877651111243359572865587357117276449446509636151338675969811303963760405930747957556436343439301350310529808076510668915058740141601958481508335658925316937544344719283439468603878272284928026213681413185985823344454819311611674742305148221352798418359931235472313616977145626725476127561544189663580709696372762603023419290607801501587265126915024217778363779871469551895336079325933371556220655964115076615383896796612235674845770952553483931625221699964715781784667881898257882881721717706531222789802820066348611332447929994816481717560354359380381541730581989539871571053478733210532488398970482274490435611622728929353915840332289219231747279402055697212164495039121910468924805551326257454435132218225323727098603216405341724325205285580614812811712156439196931575487106736109103976800322763624651338245732999652726207901206201689836258184705054210390071570207161247961500295952862730208694702758758544748018518130166815347314224199829072944670868204196}
19235  14964894003967993548163317329049608562225048023300536277779200970361624: {76924,749541,1057045,1095141,1268454,1633105,1825045,1883462,1959726,2190054,2208805,2286109,2324773,2650566,2690660,2747173,3228792,3265870,3496766,3591709,3632391,3843800,3919044,4324275,4508005,4612560,4649062,4920064,4995380,5109062,5189130,5409606,5535072,5917604,5994456,6226956,6310549,6419605,6491966,6743763,6992305,6992804,7298660,7703526,8390766,8453720,8517745,8643693,8651533,8758392,9015070,9072613,9142532,9324741,9510435,9521029,9853191,9989720,10144464,10221294,10223473,10344693,10420945,10818084,10986404,11238435,11412522,11548166,11833976,11923597,11987664,12064849,12505134,12717021,12795061,12858373,13060760,13313223,13486122,13601470,13676053,14118709,14121555,14215345,14321629,14404645,14693355,14698021,14972305,15062992,15672912,15849075,16321764,16497380,16811375,16905680,16945866,17033710,17050645,17058414,17285574,17301262,17475733,17632026,17764941,17966766,18370705,18454046,18592376,18935845,19018890,19297141,19768119,19796856,19865809,19899397,20173650,20286816,20440452,20459470,20460774,20650981,20916423,21103221,21474997,21518560,21664093,21756145,22022084,22044846,22271463,22597574,22723014,22822668,23093924,23533475,23818645,23896261,24016250,24208380,24356173,24380305,24551364,24750381,24873574,25105873,25452469,25587454,25689445,25703677,25822272,26107374,26217555,26243749,26810005,27911749,27965392,28240170,28427710,28582374,28764109,28819500,29050056,29061169,29256366,29419045,29605105,29977105,30122848,30192589,30335493,30740800,30827334,31057719,31211375,31229924,31257253,31277845,31460120,31461066,31530529,31680253,31966293,32134381,32172006,32681313,32730404,32991320,33619250,33888204,34113252,34531726,34583400,34947814,35302854,35392635,35526126,35699797,35938532,35972526,36254053,36360670,36888960,36904244,36944401,36973475,37115235,37143302,37187077,37268749,37453650,37491070,37533414,37752144,38428942,38435493,38906325,39315614,39348224,39398421,39589584,39950560,40343100,40402813,40437764,40695505,40998981,41182309,41430406,41500080,41593393,41613205,41637693,41780437,41913662,41963509,42279332,42282469,42471162,42486862,42506749,42896305,43032640,43132270,43617781,43632804,44039576,44129173,44266752,44368170,44439649,44483684,44538282,44944380,44989284,45083677,45190436,45569614,45639205,46116007,46609453,46687590,46704766,46733845,46757720,47031861,47253973,47326048,47417797,47940672,48027500,48301777,48411720,48834606,49198333,49544523,49662637,49800096,49935846,50488941,50999710,51298597,51340760,51475566,51639168,51758724,52221982,52384453,52602435,52819250,53061860,53090545,53097134,53241070,53241804,53933256,54085789,54463185,54767046,55144964,55161021,55258705,55780293,56025108,56080614,56109264,56398701,56710549,57061105,57229153,57324693,57491053,57633000,57731509,57758355,57940941,58094064,58376413,58576849,58831870,58981575,59757205,59876660,59947870,60116005,60212029,60674913,60766004,60976381,61199652,61475200,61608912,61818193,62453336,62507974,62521294,62801905,62865397,62913680,63122922,63314552,63383100,63448293,63548120,63674232,63708654,63882709,63889284,64052245,64701373,64744837,64820821,64837125,65110573,65355822,65656945,65880010,66310446,66534116,66695797,67258405,67608640,67739710,68473326,68958734,69159600,69310026,70084461,70260003,70267957,70598244,70777890,70981293,70982545,71228871,71336305,71491635,71633511,71708646,71851992,71937444,72139206,72391262,72573205,72798229,73217732,73283710,73455505,73770240,73956693,74525955,74864894,75362286,75496416,75657752,75761137,76059720,76257744,76272145,76457173,76862694,77111677,77455453,77804550,78281374,78379293,78623012,78688256,78778520,78788334,78903445,78965301,79056012,79226053,79253605,79494352,79968262,80477905,80640644,80710086,80833491,80867096,81015070,81130368,81182456,81287652,81313862,82172901,82876766,82991520,83178094,83399869,83734669,84139045,84549848,84556102,84796275,84933468,85008145,85066221,85114971,85179054,85567185,85603566,85789962,86049745,86589841,87022501,87076693,87087846,87288829,87651741,87919844,87940452,88146606,88402273,88524288,88625835,88721375,88869982,88958072,89080581,89097613,89165905,89431146,89807710,90449360,90504021,90605989,90891505,90975483,91271664,91330263,91355493,91526574,92048494,92113862,92211853,92269105,92283044,92576797,92704861,92785045,93334701,93365460,93616581,93799381,93815845,94114300,94179693,94502245,94534224,94684134,95015924,95104326,95118579,95279710,95359345,95583693,95958349,96354709,96386545,96446324,96573486,96838117,96897542,97218084,97540221,97741717,98554549,98607205,98696509,99459505,99589824,99970405,...,133473178696301192755610546905935179678139683679231371176062359563281051769485520973745683647123883389915370630842648125440873700183020304204994248263009914489719660614862800071614633412491881124439763967625815789642908272403366091852936631583139390360943579580988264209780812617430251802118227407475913738437462380885456945557958579571072765712643723525793164443154317426574905132001538185798341843096097115116617957250601787785957788910444179954825989785224583194935720577604468695310647399223547022363875034305575699571274004255607537786305966381525369615499678401114172872930722355540828319080608571449338988578124076842524273055016000321462394588170868964628505521041769196936795287401880864330302936877460908762533051283776121258659680876047217281283197886586128519783058012862762041188599890209558935606323088152121342766222620490758495915572455002946849439789329462393955898487201423997791000862798322127897457011955864737295727572225320284230890625341517522249071181193190369216964306689225531064022770913370028274283606356657122704118155492062732549061122110361955877374475105621795364748138300189467915073018630603496393372614470633775116931174867227544530964701401867087785284244752183758933826262025811701635884183173290764540370075845694416007023337446402445508997799023287196492623323930403310205160796602680484808986986199688156738788536299204778709523263994383510374293861421854421663399375070494811428575468937136082125377007271015755613846727282161627996239832372078221571836584948470510725018856744204133543103324328520249955054637803225526187904893378596610424849409730731744991442898319259759068839298188741075128498830943485813562382652884496085844904812622675147803479595364924980445556420865457019549955183365331671632382523311963666975237032723626021807026475904553650088557859861425835292922901936263597425485144976232229385850195151958918593800122598288143169935021160409294298009036495757593195747995286164483452927116096760962219465272145295194511356424471303318965855192730217406940066701093041549963644873689408727798193829118357460171407990902926958272089530199799518816476666865039359298381035675914674169764454227008013954716955945640608896121936334654515158952025465794712114766003372588110212402937722262503488387975406316517078925159202905817408427392039320522119778978735016682228967417512113457722332029197627539896853208470425465718440088214191342316284495371064544559143904535128935911702252380897690372536326667545669807204327843004118988900057334330983946172614923075845194918353512268656428830225897437832549947073672677001822847386824322582576559796834184704230099522916998671894992224722576340531539070572312595872984309807356580218099815798732598455723411735653417434093394030873760498433828847620919103083545818246742558682865703387208326989386181652698327337985590647904824608012586487807928370922219217568234658795397363230660104163655965200484145436977007368599499479089311851809302534754387277057581315585107355310741871942250443929294095313042054138137817122027777195250223020971336299743609417006302306294}
19236  15024119301445029480728015787623726751818996067302826079572561805691062: {96155,115386,326723,441899,557003,883706,999388,1016699,1398899,1460188,1513403,1691272,1856483,1902681,2033186,2612968,2721146,2825193,2843963,2920072,2939589,2995403,3108899,3184523,3285081,3363325,3534088,3788363,3975849,4035990,4239899,4305056,4315043,4321346,4804750,4843188,4877603,4898805,4989899,5225392,5245149,5251643,5765700,5878566,5997323,6150080,6244225,6368963,6918840,6924923,6973593,7212808,7380096,7397005,7479083,7493070,7500578,7663593,7783695,7992608,8114409,8141699,8251883,8302608,8325299,8435363,8691899,8741005,8854466,8876406,8984603,8991684,9123325,9130763,9340434,9737949,9786899,10271368,10354729,10404203,10489206,10567150,10947990,11163563,11187688,11428165,11523923,11524924,11555289,11677856,11955299,11993378,12134699,12432988,12487150,12586149,12671699,12680580,13137588,13180118,13313723,13522605,13525952,13562699,13628392,13713798,13733005,13740299,13792924,14424112,14695883,14792470,14907443,14984580,15153899,15216696,15331941,15435083,15750803,15983552,16205699,16208186,16227126,16268329,16325950,16479606,16624403,16673512,16956028,17007203,17118783,17308706,17319683,17322249,17666123,17750964,17942699,17981496,18405626,18459899,18563123,18757701,18828740,18843386,19498946,19591140,19727963,19830299,20000699,20102843,20229183,20238923,20402205,20621725,20897216,21023546,21132100,21424163,21525299,21762352,22029899,22465763,22594488,22633043,22744552,22933643,22967003,22973378,23047432,23240470,23266883,23433203,23509368,23686588,23765243,23836226,23955688,24051578,24469718,24482646,24525899,24746070,24953963,25118243,25358520,25418799,25446203,25550565,25587621,25740683,25838699,25928361,25951893,26357492,26392763,26395808,26425283,26448039,26587763,26898200,26950149,26976899,27049088,27253936,27281032,27461699,27527605,27681069,27687323,27880403,27888564,28137628,28361843,28425899,28528335,28540706,28649843,28809563,28867405,29128403,29223899,29287523,29393128,29695284,29763683,30234146,30260475,30297352,30430224,30553283,30647699,30660678,30689205,30691161,30742043,31181363,31708346,32117483,32277840,32337986,32582843,32735152,33000508,33033126,33067269,33896361,34084521,34151603,34234002,34426283,34429696,34635578,34640886,34809832,34882643,34913003,34956740,35276699,35518523,35674178,35881466,35970563,36024375,36180899,36312570,36420803,36540563,36630299,36827046,37310361,37523699,37583003,37653560,38109832,38115299,38381181,38426000,38534629,38556899,38733408,38850299,39008488,39037405,39084443,39161061,39325150,39434699,39588026,39638483,39783803,39996986,40305299,40447324,40913005,41103112,41239150,41410292,41454899,41512043,41948088,42360255,42450299,42621724,42641565,42843578,42873561,42896008,42958403,43045826,43229250,43491923,43575084,43715699,43884549,44133899,44411699,44494883,44744003,44923165,45184272,45322763,45484336,45862178,45870683,46061699,46111200,46130305,46241001,46279523,46844886,47070472,47190180,47191599,47199563,47334083,47368168,47414699,47602523,47963368,48216899,48258009,48296723,48959123,49095606,49185280,49354163,49486980,49938200,50044552,50138843,50336192,50428875,50547205,50821178,50832306,50838899,50890523,50916323,51169878,51247324,51353699,51606266,51686603,51797589,51875100,52421721,52531228,52576163,52752899,52779578,52786112,52849165,52878899,52954281,52954403,53180483,53289189,53330843,53790800,53907798,53958789,54003899,54251699,54449363,54541005,54621899,54646669,54665308,54695723,54917186,55049470,55063763,55333440,55356366,55400233,55516924,55604605,55714953,55770203,56180475,56205299,56236605,56300121,56373803,56488045,56493923,56628216,56653178,57210443,57589643,57612578,57643413,57943283,58177072,58295123,58447150,58575299,58621883,58923899,58973421,59022336,59157560,59270699,59384376,59385899,59546843,59890403,59925840,59985712,60004523,60034375,60072899,60141203,60345683,60514650,60572123,60656646,60977699,61157123,61492163,62046563,62145609,62250120,62376803,62639699,62705243,62709148,62870493,63356723,63418998,63706743,63722699,63730293,63920896,64107683,64175950,64192883,64227578,64548960,64638083,64698405,64743563,64827803,65112808,65372243,65449206,65517899,65870003,65900066,66059364,66085178,66137699,66200533,66270146,66327325,66400128,66444899,66506123,66546899,66552255,66581128,66725526,66807423,66993323,67154699,67295483,67318588,67355699,67416570,67483926,67755299,67785654,68052899,68112203,68348699,68354421,68634088,68642699,68852224,68931205,69011632,69027386,69167363,69186683,69283163,69417899,69456323,69557558,69757178,70031385,70057149,70136580,70142483,70331243,70556699,70650299,70758709,70989072,71034649,71059763,71115299,71538683,71721443,71885243,71911008,71955433,71975963,72041250,72293306,72569699,72617580,72801203,73022728,73192226,73225043,73251909,73312763,73548028,73626899,73886699,73981117,74058899,74144699,74373724,74700144,74773403,74774152,74812352,74845825,74903769,75025163,75157178,75198268,75334946,75358043,75374603,75605603,75769643,75957505,76014203,76432924,76499565,76545899,76673483,76832243,76844000,76911323,77011140,77021699,77213349,77254588,77443763,77458752,77536763,77638086,77768003,77808578,77838313,78066670,78225083,78332973,78450923,78642100,78660083,78852899,78860066,78882443,78970883,79143190,79228875,79321763,79383866,79435150,79466603,79551901,79592790,79645701,79796699,79861605,79862706,79938899,80052083,80360699,80430299,80637899,80816363,80843699,80899884,81020603,81120506,81209603,81249899,81290123,81343643,81466106,81599536,81609323,81688403,81740963,81780299,82145216,82150569,82155578,82323443,82614899,82717446,83074883,83167645,83258243,83391563,83714699,83750243,83926883,84037662,84043643,84101723,84120921,84163896,84182699,84354899,84446003,84510800,84550586,84581699,84597724,84693899,84716243,84882803,84890426,84898976,84915899,84944872,85029373,85156403,85185712,85371683,85435643,85478123,85562699,85636283,85854683,86059403,86300843,86310803,86449500,86596163,86625299,86798603,87053699,87118883,87141096,87174443,87284699,87357563,87447923,87836003,87844643,88091723,88175363,88216883,88247805,88266443,88413928,88445699,88589483,88605299,88628963,88777163,88892123,88923578,89027699,89160683,89175299,89390699,89439923,89495699,89578403,89619323,89680163,89720363,89766899,89814990,89865299,89921805,89980429,90012683,90075443,90161963,90252923,90270899,90400523,90414626,90435203,90520643,90587699,90615299,90669899,90734363,90744386,90760883,90905699,90945923,90965843,90995483,91134683,91149006,91284899,91297768,91315643,91413899,91463483,91487843,91515899,91522165,91527803,91563083,91605323,91620443,91676003,91729763,91799478,91802003,91808699,91841699,91848203,91895963,91941923,91980299,92022899,92036699,92057666,92076899,92084723,92139899,92175299,92193443,92202323,92212681,92212800,92240699,92270699,92274563,92293403,92330363,92353043,92413368,92423149,92433563,92447843,92457083,92459699,92466323,92471699,92483123,92491283,92499683,92500883,92504963,92505899,93445948,93680004,93761961,93781941,94006081,94130992,94370520,94572190,94629829,94641724,94684383,94971828,95074650,95322180,95511348,95562981,95611528,95802656,95833926,95916592,96185608,97507189,97694906,98033733,98278765,98360320,98473150,98485826,98608924,98820015,99367940,99465669,99801174,...,200209768044451789133415820358902769517209525518847056764093539344921577654228281460618525470685825084873055946263972188161310550274530456307491372394514871734579490922294200107421950118737821686659645951438723684464362408605049137779404947374709085541415369371482396314671218926145377703177341111213870607656193571328185418336937869356609148568965585288689746664731476139862357698002307278697512764644145672674926935875902681678936683365666269932238984677836874792403580866406703042965971098835320533545812551458363549356911006383411306679458949572288054423249517601671259309396083533311242478620912857174008482867186115263786409582524000482193591882256303446942758281562653795405192931102821296495454405316191363143799576925664181887989521314070825921924796829879192779674587019294143061782899835314338403409484632228182014149333930736137743873358682504420274159683994193590933847730802135996686501294197483191846185517933797105943591358337980426346335938012276283373606771789785553825446460033838296596034156370055042411425409534985684056177233238094098823591683165542933816061712658432693047122207450284201872609527945905244590058921705950662675396762300841316796447052102800631677926367128275638400739393038717552453826274759936146810555113768541624010535006169603668263496698534930794738934985895604965307741194904020727213480479299532235108182804448807168064284895991575265561440792132781632495099062605742217142863203405704123188065510906523633420770090923242441994359748558117332357754877422705766087528285116306200314654986492780374932581956704838289281857340067894915637274114596097617487164347478889638603258947283111612692748246415228720343573979326744128767357218934012721705219393047387470668334631298185529324932775047997507448573784967945500462855549085439032710539713856830475132836789792138752939384352904395396138227717464348344078775292727938377890700183897432214754902531740613941447013554743636389793621992929246725179390674145141443329197908217942791767034636706954978448782789095326110410100051639562324945467310534113091697290743677536190257111986354390437408134295299699278224715000297559038947571553513872011254646681340512020932075433918460913344182904501981772738428038198692068172149005058882165318604406583393755232581963109474775618387738804358726112641088058980783179668468102525023343451126268170186583498043796441309845279812705638198577660132321287013474426743056596816838715856802693403867553378571346535558804490001318504710806491764506178483350086001496475919258922384613767792377530268402984643245338846156748824920610509015502734271080236483873864839695251277056345149284375498007842488337083864510797308605858468893809476464711034870327149723698098897683585117603480126151140091046310640747650743271431378654625318727370113838024298555080812490484079272479047491006978385971857236912018879731711892556383328826352351988193096044845990156245483947800726218155465511052899249218633967777713953802131580915586371973377661032966112807913375665893941142969563081207206725683041665792875334531457004449615414125509453459441}
19237  15083577311697070134406687432931657871326613704972399029566552993182176: {19237,153848,173079,1249235,1325559,1479863,1499082,1825235,2114090,2190282,2286347,2536908,2555063,2747459,3049779,3092327,3246659,3266210,3650090,3766924,3919452,4014263,4081719,4244747,4380108,4417610,4572218,4649546,5301132,5381320,5494346,6053985,6311207,6457584,6482019,6531740,6993532,7183418,7207125,7264782,7687600,7838088,8648550,8817849,8987447,9016010,9073559,9225120,9298124,9789227,9840128,9990760,10218124,10224539,10378260,10722179,10819212,11070144,11239605,11250867,11835208,11924843,11988912,12066107,12453912,12621098,12839210,12983932,13281699,13314609,13484243,13487526,13677479,13984610,13985608,14010651,14406155,14589323,14597320,15196259,15407052,15541235,15733809,15850725,16421985,16685747,16781532,16907440,17035490,17241155,17287386,17303066,17516784,17990067,18030140,18145226,18285064,18649482,18730725,19020870,19042058,19706382,19770177,19901483,19979440,20166503,20288928,20442588,20446946,20570697,20653139,20689386,20841890,20961227,21195035,21636168,21972808,22188705,22202963,22476870,22825044,23096332,23535925,23667952,23847194,23870903,23975328,24129698,24312279,24340689,24488925,24719409,25010268,25434042,25544279,25590122,25603019,25706363,25716746,25718987,25963059,26121520,26234147,26415125,26510183,26626446,26972244,27202940,27352106,27608439,28237418,28243110,28265079,28430690,28643258,28727639,28809290,29184023,29248419,29386710,29396042,29608235,29944610,30125984,30458603,30478787,31345824,31535319,31698150,32137739,32643528,32932163,32946865,32994760,33346103,33622750,33811360,33891732,33993947,34067420,34101290,34116828,34132427,34460067,34571148,34602524,34860705,34951466,35172035,35240003,35264052,35529882,35754339,35933532,35965223,36077367,36704577,36723969,36741410,36908092,37119105,37184752,37190963,37440299,37534007,37871690,38037780,38594282,39536238,39593712,39731618,39751703,39798794,40347300,40573632,40880904,40918940,40921548,41186663,41250635,41301962,41447147,41784803,41832846,41967947,42206442,42811059,42845699,42949994,43037120,43196723,43328186,43512290,43622339,43695925,43788983,44044168,44089692,44542926,45088403,45195148,45351219,45446028,45645336,45991017,46187848,47066950,47507543,47562519,47637290,47748779,47792522,48032500,48416760,48506979,48712346,48760610,48950123,49102728,49500762,49549689,49667843,49747148,50211746,50387639,50559155,50904938,51174908,51351003,51378890,51407354,51644544,51762865,51953367,51961329,52152659,52214748,52435110,52487498,53277155,53511267,53620010,53822199,53984339,54468855,55083899,55240569,55753127,55823498,55890683,55930784,56480340,56855420,56973707,57164748,57528218,57639000,58100112,58122338,58258487,58512732,58838090,58987725,59210210,59382039,59954210,59995479,60020819,60054827,60245696,60385178,60448823,60670986,61481600,61654668,61858725,61908899,62115438,62422750,62459848,62514506,62555690,62920240,62922132,63061058,63360506,63889463,63894887,63932586,64059155,64265367,64268762,64344012,64568739,64843875,65117459,65362626,65427383,65460808,65468243,65664035,65982640,67238500,67776408,68185283,68226504,68228147,68331635,68793267,69063452,69166800,69396155,69895628,70267329,70275323,70605708,70785270,71052252,71399594,71422199,71877064,71945052,72508106,72721340,73643409,73777920,73808488,73888802,73946950,74230470,74286604,74326763,74374154,74537498,74907300,74982140,75066828,75114023,75497747,75504288,76133783,76231767,76248459,76465259,76754817,76857884,76867139,76870986,76948859,77362187,77409399,77756963,77812650,78386435,78631228,78696448,78796842,79169367,79179168,79802747,79885547,79901120,80686200,80805626,80861697,80875528,80986043,81391010,81997962,82364618,82375779,82574205,82860812,83000160,83034549,83186786,83226410,83275386,83560874,83660087,83827324,83927018,84148235,84162407,84558664,84564938,84942324,84973724,84979767,85013498,85299803,85792610,86065280,86183639,86264540,86418867,86739203,87235562,87265608,87670725,87819287,87922667,88079152,88258346,88533504,88736340,88879298,88967368,89076564,89511059,89624027,89673143,89888760,89978568,90167354,90380872,90722423,90771975,90984969,91139228,91278410,91919723,91935035,92232014,92400167,92427443,92714579,92967155,93218906,93375180,93409532,93467690,93515440,93997835,94063722,94161767,94507946,94652096,94835594,95128497,95541155,95881344,96055000,96263925,96341367,96568235,96603554,96823440,97558103,97669212,97751963,98126267,98173809,98302625,98396666,98706947,98850099,99089046,99127767,99292283,99325274,99375563,99405219,99600192,99870827,99871692,...,266946357392602385511221093811870359356279367358462742352124719126562103538971041947491367294247766779830741261685296250881747400366040608409988496526019828979439321229725600143229266824983762248879527935251631579285816544806732183705873263166278780721887159161976528419561625234860503604236454814951827476874924761770913891115917159142145531425287447051586328886308634853149810264003076371596683686192194230233235914501203575571915577820888359909651979570449166389871441155208937390621294798447094044727750068611151399142548008511215075572611932763050739230999356802228345745861444711081656638161217142898677977156248153685048546110032000642924789176341737929257011042083538393873590574803761728660605873754921817525066102567552242517319361752094434562566395773172257039566116025725524082377199780419117871212646176304242685532445240981516991831144910005893698879578658924787911796974402847995582001725596644255794914023911729474591455144450640568461781250683035044498142362386380738433928613378451062128045541826740056548567212713314245408236310984125465098122244220723911754748950211243590729496276600378935830146037261206992786745228941267550233862349734455089061929402803734175570568489504367517867652524051623403271768366346581529080740151691388832014046674892804891017995598046574392985246647860806620410321593205360969617973972399376313477577072598409557419046527988767020748587722843708843326798750140989622857150937874272164250754014542031511227693454564323255992479664744156443143673169896941021450037713488408267086206648657040499910109275606451052375809786757193220849698819461463489982885796638519518137678596377482150256997661886971627124765305768992171689809625245350295606959190729849960891112841730914039099910366730663343264765046623927333950474065447252043614052951809107300177115719722851670585845803872527194850970289952464458771700390303917837187600245196576286339870042320818588596018072991515186391495990572328966905854232193521924438930544290590389022712848942606637931710385460434813880133402186083099927289747378817455596387658236714920342815981805853916544179060399599037632953333730078718596762071351829348339528908454016027909433911891281217792243872669309030317904050931589424229532006745176220424805875444525006976775950812633034157850318405811634816854784078641044239557957470033364457934835024226915444664058395255079793706416940850931436880176428382684632568990742129089118287809070257871823404504761795380745072653335091339614408655686008237977800114668661967892345229846151690389836707024537312857660451794875665099894147345354003645694773648645165153119593668369408460199045833997343789984449445152681063078141144625191745968619614713160436199631597465196911446823471306834868186788061747520996867657695241838206167091636493485117365731406774416653978772363305396654675971181295809649216025172975615856741844438435136469317590794726461320208327311930400968290873954014737198998958178623703618605069508774554115162631170214710621483743884500887858588190626084108276275634244055554390500446041942672599487218834012604612588}
19238  15143268942564433977696915322049936915272497682451248460177284594121955: {134617,192310,230772,365161,595417,653446,883798,1114006,1767412,1856677,1998776,2033398,2248623,2797798,2882137,2920376,2995717,3026806,3171135,3285423,3382544,3712966,3805362,4066372,4353061,4708655,4899315,5225936,5442292,5475135,5650386,5687926,5840144,5879178,5990806,6217798,6369046,6570162,6626415,6726650,6858327,6974319,7068176,7147561,7576726,7951698,8071980,8164675,8241519,8479798,8610112,8630086,8642692,8741915,9609500,9686376,9755206,9797610,9979798,10223977,10355807,10450784,10490298,10503286,10767397,10775127,10897173,11200837,11531400,11622655,11757132,11994646,12237407,12300160,12488450,12737926,12772655,12972825,13524015,13837680,13849846,13947186,13990117,14425616,14520937,14760192,14794010,14944297,14958166,14986140,15001156,15327186,15567390,15787561,15985216,15999431,16228818,16229915,16283398,16503766,16605216,16650598,16870726,17148037,17383798,17482010,17708932,17752812,17969206,17983368,18246650,18261526,18393061,18599557,18680868,18908761,18931647,19226207,19258815,19422661,19475898,19573798,20231289,20241157,20542736,20709458,20808406,20976915,20978412,21134300,21895980,22327126,22375376,22468261,22537675,22856330,22969561,23047846,23049848,23110578,23355712,23767897,23910598,23986756,24269398,24865976,24956761,24974300,25172298,25343398,25361160,25553235,25743577,25931079,25954599,26275176,26360236,26428261,26627446,27045210,27051904,27109417,27125398,27217839,27256784,27427596,27466010,27480598,27585848,27883561,27974223,28531305,28563087,28848224,28870415,29131717,29322661,29391766,29559573,29584940,29798761,29814886,29969160,30307798,30433392,30462277,30556777,30663882,30670419,30870166,31034079,31216261,31262835,31501606,31967104,32338597,32411398,32416372,32454252,32536658,32617561,32651900,32959212,33248806,33347024,33715305,33912056,34003675,34014406,34237566,34460761,34617412,34639366,34644498,34917061,35332246,35501928,35770791,35885398,35962992,36194547,36455017,36811252,36903397,36919798,37126246,37515402,37657480,37686772,38151063,38237737,38385183,38538647,38575119,38997892,39118297,39182280,39455926,39660598,39939669,40001398,40205686,40414367,40458366,40477846,40804410,41028159,41243450,41794432,42047092,42264200,42356127,42364665,42398761,42584275,42646035,42848326,42964887,43050598,43213935,43253155,43524704,44059798,44080065,44094063,44250457,44333797,44915161,44916915,44931526,45188976,45266086,45489104,45867286,45903577,45934006,45946756,46094864,46135115,46480940,46533766,46800517,46866406,47018736,47373176,47530486,47547225,47672452,47911376,48103156,48329257,48939436,48965292,49051798,49360261,49492140,49907926,50236486,50434125,50717040,50837598,50892406,50922661,51077317,51101130,51148675,51151935,51175242,51481366,51677398,51856722,51903786,52427199,52608037,52714984,52785526,52791616,52835161,52850566,52896078,52986217,53175526,53294823,53362597,53796400,53900298,53953798,54098176,54507872,54562064,54652367,54923398,55055210,55070761,55112115,55217497,55362138,55374646,55760806,55777128,55801561,55946857,56275256,56493935,56669017,56723686,56740837,56807535,56851798,57056670,57081412,57278207,57299686,57455077,57619126,57734810,57809497,57891423,58256806,58447798,58575046,58786256,59209177,59304357,59390568,59527366,59554597,59597427,59692261,59698191,59898217,60035161,60040625,60171817,60468292,60520950,60580057,60594704,60860448,61106566,61187557,61295398,61321356,61378410,61382322,61484086,61522537,61952943,62054761,62183935,62362726,62749269,62892431,62909797,63309663,63416692,63968635,64234966,64424991,64555680,64582427,64675972,64992279,65165686,65268435,65470304,65713477,66001016,66066252,66134538,66392617,66814389,67792722,68169042,68303206,68468004,68852566,68859392,68905561,69196261,69271156,69281772,69312037,69600217,69619664,69765286,69826006,69913480,70553398,70600425,70766087,70790917,71037046,71069275,71069737,71348356,71455935,71688783,71762932,71941126,72048750,72361798,72625140,72704857,72841606,73068519,73077061,73081126,73140915,73235497,73260598,73654092,73988831,74251143,74620722,74784217,74985817,75047398,75136261,75166006,75307120,75317619,75385561,75780697,76025317,76122661,76219664,76230598,76357407,76700677,76748377,76762362,76852000,77068335,77069258,77111031,77113798,77174437,77466816,77700598,77846447,78016976,78074810,78100357,78145897,78168886,78236761,78322122,78372517,78650300,78652665,78731247,78869398,79083263,79176052,79276966,79567606,79908457,79993561,79993972,80078377,80430015,80610598,80894648,81033061,81316057,81826010,82143877,82206224,82478300,82678117,82820584,82909798,83024086,83525161,83632837,83735247,83775397,83896176,83951977,84048125,84470917,84720510,84741061,84900598,85038239,85243448,85283130,85396261,85460197,85650277,85687156,85747122,85792016,85806697,85916806,86091652,86292327,86325061,86329315,86458500,86983846,87133477,87150168,87183507,87369535,87381337,87431398,87649897,87676357,87769098,87859561,88064617,88190437,88240261,88257135,88267798,88289797,88533157,88792537,88815315,88823398,88989766,88998277,89488006,89662297,89742937,89846330,89931315,90184261,90368544,90416857,90451561,90485977,90577767,90645526,90861061,90901675,90968672,90982597,91006479,91198057,91332697,91447717,91484761,91568677,91693417,91724356,91741366,91747237,91788997,91819561,91916761,92105257,92123398,92222400,92260610,92283097,92348761,92445637,92482002,92485957,92525161,92559046,92858255,93173157,93634125,93689772,93727675,93771759,93833535,94015883,94140944,94380360,94383198,94399126,94591587,94668166,94736336,94829398,95040759,95205046,95898879,95926736,96072355,96403143,96433798,96503687,96516018,96593446,97918246,98043939,98191212,98289035,98370560,98708326,98973960,99876400,...,400419536088903578266831640717805539034419051037694113528187078689843155308456562921237050941371650169746111892527944376322621100549060912614982744789029743469158981844588400214843900237475643373319291902877447368928724817210098275558809894749418171082830738742964792629342437852290755406354682222427741215312387142656370836673875738713218297137931170577379493329462952279724715396004614557395025529288291345349853871751805363357873366731332539864477969355673749584807161732813406085931942197670641067091625102916727098713822012766822613358917899144576108846499035203342518618792167066622484957241825714348016965734372230527572819165048000964387183764512606893885516563125307590810385862205642592990908810632382726287599153851328363775979042628141651843849593659758385559349174038588286123565799670628676806818969264456364028298667861472275487746717365008840548319367988387181867695461604271993373002588394966383692371035867594211887182716675960852692671876024552566747213543579571107650892920067676593192068312740110084822850819069971368112354466476188197647183366331085867632123425316865386094244414900568403745219055891810489180117843411901325350793524601682633592894104205601263355852734256551276801478786077435104907652549519872293621110227537083248021070012339207336526993397069861589477869971791209930615482389808041454426960958599064470216365608897614336128569791983150531122881584265563264990198125211484434285726406811408246376131021813047266841540181846484883988719497116234664715509754845411532175056570232612400629309972985560749865163913409676578563714680135789831274548229192195234974328694957779277206517894566223225385496492830457440687147958653488257534714437868025443410438786094774941336669262596371058649865550095995014897147569935891000925711098170878065421079427713660950265673579584277505878768705808790792276455434928696688157550585455876755781400367794864429509805063481227882894027109487272779587243985858493450358781348290282886658395816435885583534069273413909956897565578190652220820200103279124649890934621068226183394581487355072380514223972708780874816268590599398556449430000595118077895143107027744022509293362681024041864150867836921826688365809003963545476856076397384136344298010117764330637208813166787510465163926218949551236775477608717452225282176117961566359336936205050046686902252536340373166996087592882619690559625411276397155320264642574026948853486113193633677431713605386807735106757142693071117608980002637009421612983529012356966700172002992951838517844769227535584755060536805969286490677692313497649841221018031005468542160472967747729679390502554112690298568750996015684976674167729021594617211716937787618952929422069740654299447396197795367170235206960252302280182092621281495301486542862757309250637454740227676048597110161624980968158544958094982013956771943714473824037759463423785112766657652704703976386192089691980312490967895601452436310931022105798498437267935555427907604263161831172743946755322065932225615826751331787882285939126162414413451366083331585750669062914008899230828251018906918882}
19239  15203195105403626826275827117595634556210970498414857532347062126746852: {38474,288465,307696,346158,980169,1325697,1671009,1748929,2209265,2498470,2555329,2651118,2959726,2998164,3050097,3246997,3592457,3650470,4196697,4228180,4380564,4540209,4572694,4744129,5073816,5082965,5110126,5494918,5569449,5708043,6099558,6184654,6493318,6532420,6802865,7300180,7533848,7838904,8028526,8163438,8475579,8489494,8531889,8760216,8818767,8835220,8986209,9144436,9299092,9326697,9553569,9855243,9916577,10089975,10602264,10723297,10762640,10803365,10988692,11365089,11927547,12011875,12107970,12622414,12719697,12915168,12945129,12964038,13063480,13369157,13485649,13987064,14366836,14414250,14529564,14632809,14696415,14961617,14969697,15375200,15676176,15735447,15754929,16131221,17297100,17635698,17974894,17991969,18032020,18147118,18450240,18596248,18732675,18737081,18751445,19106889,19220489,19578454,19680256,19981520,20168617,20436248,20449078,20756520,20774769,20920779,21444358,21638424,21757729,22136165,22140288,22191015,22437249,22479210,22501734,22505417,22990779,23351085,23359697,23670416,23849686,23977824,24132214,24137617,24343227,24425097,24755649,24907824,24975897,25242196,25306089,25678420,25967864,25996049,26075697,26119169,26223015,26417875,26563398,26629218,26953809,26968486,26975052,27005129,27354958,27369975,27392289,27969220,27971216,28021302,28730641,28812310,29178646,29194640,29213847,29360697,29444309,29673049,29983445,30392518,30814104,31064187,31082470,31212609,31217875,31270481,31467618,31701450,32202917,32830757,32843970,32950295,33371494,33490689,33563064,33814880,34070980,34284495,34482310,34490209,34571769,34574772,34606132,34665867,35033568,35865897,35980134,36060280,36290452,36404097,36570128,36981175,37298964,37461450,37758447,38015097,38041740,38084116,38919829,39407201,39412764,39540354,39755857,39802966,39941169,39958880,39996737,40333006,40520465,40567815,40577856,40688097,40814875,40885176,40893892,41141394,41199015,41220897,41240177,41306278,41378772,41451529,41683780,41922454,42390070,43201237,43271765,43272336,43945616,44087649,44377410,44405926,44722329,44953740,45461697,45650088,45995823,46014065,46125611,46192664,46297241,46305249,47071850,47108465,47252409,47335904,47445497,47675249,47694388,47741806,47950656,48259396,48311909,48617097,48624558,48681378,48747365,48804987,48977850,49240849,49351301,49438818,49873209,50020536,50392921,50868084,51021609,51088558,51180244,51206038,51356349,51412726,51433492,51437974,51926118,51959049,51966747,52243040,52468294,52558865,52830250,52998369,53020366,53252892,53828097,53944488,54405880,54704212,54708961,55216878,55379697,55689369,56099681,56273103,56474836,56486220,56530158,56861380,57286516,57433445,57455278,57618580,57750889,58101175,58368046,58496838,58565177,58773420,58792084,59183889,59216470,59490897,59590565,59889220,60002097,60117929,60128945,60251968,60308529,60687549,60716769,60917206,60957574,61174295,61206615,61793657,61865175,62691648,63070638,63396300,63806777,64272489,64275478,64575897,64715057,65287056,65864326,65893730,65942657,65989520,66089697,66560201,66692206,67245500,67397289,67622720,67783464,67899129,67987894,68134840,68202580,68233656,68264854,68800929,68901009,68920134,69142296,69205048,69721410,69800649,69902932,70299609,70344070,70480006,70528104,70782817,71059764,71295729,71351765,71508678,71867064,71930446,72154734,72468011,72481121,73409154,73447938,73482820,73577697,73816184,74238210,74369504,74381926,74513681,74588017,74861889,74880598,75068014,75121897,75354729,75505729,75585365,75743380,75777029,76075560,76207081,76256397,76338609,76651695,76762863,76956997,77188564,77222049,77516097,77785083,77855679,78375329,79072476,79178289,79187424,79270865,79275849,79344117,79463236,79503406,79597588,79763289,80612081,80694600,80844965,80850447,80930697,81147264,81761808,81837880,81843096,82168321,82373326,82385097,82501270,82582815,82603924,82894294,83043207,83061969,83569606,83641209,83665692,83935894,84412884,84765689,85085529,85277697,85585005,85622118,85691398,85899988,85949529,86074240,86393446,86428689,86588945,86602215,86656372,86904841,87024580,87244678,87385209,87391850,87577966,87671697,87862569,88088336,88179384,89085852,89116577,89185445,89291049,89460769,89682817,89703665,89976289,90176806,90390296,90702438,90781425,90892056,91290672,91659849,91929649,91943097,91982034,92067615,92073483,92226129,92375696,92721217,93544089,94133900,95015086,95125038,95274580,95497558,95508629,95585044,95664289,96065000,96352449,96833520,97013958,97154617,97424692,97521220,97748529,97900246,98205456,98312875,98788481,98789921,98970065,99001524,99099378,99201807,99335686,99494296,99982457,99992465,...,600629304133355367400247461076708308551628576556541170292280618034764732962684844381855576412057475254619167838791916564483931650823591368922474117183544615203738472766882600322265850356213465059978937854316171053393087225815147413338214842124127256624246108114447188944013656778436133109532023333641611822968580713984556255010813608069827445706896755866069239994194428419587073094006921836092538293932437018024780807627708045036810050096998809796716954033510624377210742599220109128897913296505961600637437654375090648070733019150233920038376848716864163269748552805013777928188250599933727435862738571522025448601558345791359228747572001446580775646768910340828274844687961386215578793308463889486363215948574089431398730776992545663968563942212477765774390489637578339023761057882429185348699505943015210228453896684546042448001792208413231620076047513260822479051982580772801543192406407990059503882592449575538556553801391317830774075013941279039007814036828850120820315369356661476339380101514889788102469110165127234276228604957052168531699714282296470775049496628801448185137975298079141366622350852605617828583837715733770176765117851988026190286902523950389341156308401895033779101384826915202218179116152657361478824279808440431665341305624872031605018508811004790490095604792384216804957686814895923223584712062181640441437898596705324548413346421504192854687974725796684322376398344897485297187817226651428589610217112369564196532719570900262310272769727325983079245674351997073264632268117298262584855348918600943964959478341124797745870114514867845572020203684746911822343788292852461493042436668915809776841849334838078244739245686161030721937980232386302071656802038165115658179142162412005003893894556587974798325143992522345721354903836501388566647256317098131619141570491425398510369376416258818153058713186188414683152393045032236325878183815133672100551692296644264707595221841824341040664230909169380865978787740175538172022435424329987593724653828375301103910120864935346348367285978331230300154918686974836401931602339275091872231032608570771335959063171312224402885899097834674145000892677116842714660541616033763940044021536062796226301755382740032548713505945318215284114596076204516447015176646495955813219750181265697745889328424326855163216413076178337923264176942349539005404307575070030353378804510559750494131389323929535839438116914595732980396963861040423280229169790450516147570408080211602660135714039606676413470003955514132419475293518535450050258004489427757776767153841303377132590805208953929736016538470246474761831527046508202813240709451621594519085753831169035447853126494023527465011251593532391925817575406681428429394133104610981449171094296693050755352810440378453420273138931922242952229814294135963875956182110341514072895665242437471452237817437142473020935157915571710736056639195135677669149986479057055964579288134537970468736451843402178654466396533158697747655901903333141861406394742746759115920132983098898338423740126997681823428908689243621620177049124997378626003594371013348846242376528360378323}
19240  15263356715100862724653179067129201414099864326842947840714976600176520: {57711,269234,384620,461544,519237,557119,730322,1131679,1190834,1306892,1590031,1767596,1933039,2228012,3185191,3534824,3713354,3747705,3976677,3997552,4066796,4315951,4439589,4497246,4541239,5285225,5327479,5475705,5551471,5595596,5764274,5840752,5991434,6053612,6342270,6570846,6592117,6765088,6859041,7425932,7554439,7610724,7665189,8132744,8165525,8242377,8327071,8706122,8766991,9125225,9149337,9205759,9276981,9417310,9534079,9739977,9752599,9798630,10451872,10623799,10884584,10950270,11044025,11300772,11375852,11430545,11623865,11680288,11758356,11981612,12029671,12042789,12137311,12238681,12245157,12435596,12734241,12738092,12995839,13140324,13252830,13316599,13453300,13716654,13735865,13948638,14136352,14295122,14699071,15153452,15227551,15438439,15903396,16143960,16271717,16279111,16329350,16483038,16697719,16959596,17010919,17220224,17260172,17285384,17427511,17483830,17739199,17881717,17946631,17958545,18161955,18933621,19082359,19219000,19372752,19446057,19510412,19595220,19800559,19902871,19959596,20107279,20447954,20711614,20820439,20901568,20980596,21006572,21023551,21327679,21530071,21534794,21550254,21621375,21794346,22401674,22540025,22638079,22721881,23038831,23062800,23245310,23338639,23514264,23637799,23989292,24474814,24600320,24976900,25475852,25517431,25545310,25564517,25811839,25945650,26453547,26496271,26788519,26962341,27048030,27220677,27564679,27675360,27699692,27757999,27894372,27951031,27980234,28432351,28851232,29041874,29294191,29367681,29520384,29588020,29888594,29916332,29972280,30002312,30150199,30654372,30673617,31134780,31552745,31575122,31751191,31970432,31998862,32098025,32124871,32166537,32457636,32459830,32566796,32776039,33007532,33054031,33146551,33210432,33301196,33700159,33718815,33741452,33752601,34296074,34767596,34961525,34964020,35417864,35505624,35707879,35774529,35938412,35966736,36198321,36493300,36523052,36608959,36786122,37199114,37361736,37591831,37680751,37817522,37863294,38452414,38517630,38845322,38918071,38951796,39093679,39147596,39531439,39706039,39793231,39845097,39943827,40418581,40452729,40462578,40482314,40574719,40661191,41032437,41085472,41418916,41521951,41616812,41953830,41956824,42031953,42268600,42545359,42588725,42968719,43137559,43218465,43257665,43390279,43558399,43726231,43767969,43791960,44477911,44561071,44654252,44750752,44810119,44936522,45075350,45363065,45388711,45588777,45712660,45881839,45939122,46095692,46099696,46221156,46290799,46623705,46711424,47103319,47201427,47535794,47552175,47605145,47821196,47908639,47973512,48538796,48865519,49023991,49265955,49731952,49913522,49948600,50057241,50344596,50515111,50686796,50722320,50903191,51106470,51117365,51487154,51723465,51862158,51909198,52104725,52550352,52720472,52856522,53254892,53344279,53970201,54090420,54103808,54218834,54250796,54435678,54463159,54513568,54684991,54855192,54932020,54961196,54979759,55171696,55767122,55784431,55948446,56192175,56219671,57010879,57062610,57126174,57153799,57696448,57740830,58263434,58286791,58427119,58637071,58645322,58783532,59119146,59169880,59310531,59401351,59597522,59608279,59617985,59629772,59704449,59938320,59951719,60324245,60499509,60554417,60615596,60866784,60924554,61038631,61105951,61113554,61327764,61340838,61712091,61740332,61841719,61959417,61974559,62068158,62432522,62437231,62503039,62525670,62700031,62883681,63003212,63585105,63932599,63934208,63975305,64060831,64124839,64291865,64589161,64677194,64760959,64822796,64832744,64908504,65013391,65073316,65235122,65264671,65303800,65389879,65887831,65918424,66135079,66258271,66497612,66503791,66564991,66566115,66608889,66694048,67173031,67430610,67824112,67833559,68007350,68028812,68130919,68249359,68367511,68380265,68475132,68544199,68837239,68921522,69234824,69244471,69278732,69288996,69475591,69834122,69991399,70444999,70593545,70607775,70613911,70664492,71003856,71076725,71541582,71608145,71612709,71770796,71925984,71941879,71996311,72023225,72389094,72590311,72910034,72910639,72936837,73022067,73281079,73466775,73490105,73622504,73647991,73806794,73839596,73959679,74158227,74166031,74252492,74575279,74727559,74861525,75030804,75080359,75314960,75373544,75379951,75429631,75726199,75824479,76302126,76311559,76475474,76632837,76770366,76809057,77077294,77119089,77150238,77156961,77310991,77497759,77821831,77889177,77995784,78236594,78278671,78364560,78702441,78728311,78906151,78911852,79091509,79245375,79302079,79321196,79519519,79530549,79820911,79879338,80002796,80076439,80245351,80371279,80411372,80827471,80828734,80868511,80916732,80955692,81234631,81435511,81515359,81608820,81634591,81674191,81713719,82056318,82486900,82489159,82825317,83125639,83235799,83308879,83417959,83588864,84023839,84056875,84094184,84232711,84370519,84528400,84608911,84712254,84729330,84743551,84795237,84797522,84943351,85168550,85205719,85238191,85253225,85292070,85463479,85527199,85558951,85685239,85696652,85747951,85873337,85903471,85929774,86087719,86101196,86182917,86299399,86329351,86427870,86506310,86827519,86941711,87049408,87057509,87194431,87304879,87378665,87552069,87745257,87761431,87839839,87865831,88119596,88146991,88160130,88188126,88222159,88296679,88395031,88492231,88500914,88635871,88667594,88823359,88824705,89073631,89206471,89293591,89336719,89379559,89556089,89650999,89830322,89833830,89863052,90138799,90175879,90303391,90374671,90377952,90444799,90532172,90631711,90778159,90978208,91024111,91292239,91375809,91436361,91448191,91522279,91558351,91662679,91734572,91771759,91792711,91807154,91843831,91853525,91868012,91883431,91893512,91949959,92096839,92120599,92189728,92195119,92229679,92270230,92311111,92333719,92344591,92370511,92448919,92510911,92522791,92527759,92529271,92534599,92539639,92961880,93067532,93601034,93732812,94037472,94605957,94679225,94746352,95060972,95094450,95344904,95822752,96206312,96413217,96485705,96658514,97878872,97930584,98103596,98720522,98796489,98840595,98984280,99329045,99496985,99815852,...,800839072177807156533663281435611078068838102075388227056374157379686310616913125842474101882743300339492223785055888752645242201098121825229965489578059486938317963689176800429687800474951286746638583805754894737857449634420196551117619789498836342165661477485929585258684875704581510812709364444855482430624774285312741673347751477426436594275862341154758986658925904559449430792009229114790051058576582690699707743503610726715746733462665079728955938711347499169614323465626812171863884395341282134183250205833454197427644025533645226717835798289152217692998070406685037237584334133244969914483651428696033931468744461055145638330096001928774367529025213787771033126250615181620771724411285185981817621264765452575198307702656727551958085256283303687699187319516771118698348077176572247131599341257353613637938528912728056597335722944550975493434730017681096638735976774363735390923208543986746005176789932767384742071735188423774365433351921705385343752049105133494427087159142215301785840135353186384136625480220169645701638139942736224708932952376395294366732662171735264246850633730772188488829801136807490438111783620978360235686823802650701587049203365267185788208411202526711705468513102553602957572154870209815305099039744587242220455074166496042140024678414673053986794139723178955739943582419861230964779616082908853921917198128940432731217795228672257139583966301062245763168531126529980396250422968868571452813622816492752262043626094533683080363692969767977438994232469329431019509690823064350113140465224801258619945971121499730327826819353157127429360271579662549096458384390469948657389915558554413035789132446450770992985660914881374295917306976515069428875736050886820877572189549882673338525192742117299731100191990029794295139871782001851422196341756130842158855427321900531347159168555011757537411617581584552910869857393376315101170911753511562800735589728859019610126962455765788054218974545559174487971716986900717562696580565773316791632871771167068138546827819913795131156381304441640400206558249299781869242136452366789162974710144761028447945417561749632537181198797112898860001190236155790286214055488045018586725362048083728301735673843653376731618007927090953712152794768272688596020235528661274417626333575020930327852437899102473550955217434904450564352235923132718673872410100093373804505072680746333992175185765239381119250822552794310640529285148053897706972226387267354863427210773615470213514285386142235217960005274018843225967058024713933400344005985903677035689538455071169510121073611938572981355384626995299682442036062010937084320945935495459358781005108225380597137501992031369953348335458043189234423433875575237905858844139481308598894792395590734340470413920504604560364185242562990602973085725514618501274909480455352097194220323249961936317089916189964027913543887428947648075518926847570225533315305409407952772384179383960624981935791202904872621862044211596996874535871110855815208526323662345487893510644131864451231653502663575764571878252324828826902732166663171501338125828017798461656502037813837764}
19241  15323754690085636446372069439098431407383455164228380839667028842402282: {76948,403851,480775,576930,615392,692316,1095483,1633615,1786251,1960338,2209495,2325499,2651394,2785015,3092971,3342018,3497858,3592831,4015099,4245631,4418530,4859371,4996940,5083495,5110658,5302236,5550823,5570031,5919452,5996328,6100194,6493994,6745869,6994495,7116151,7184914,7300940,7567015,8393394,8456360,8646411,8761128,8987151,9080418,9145388,9282415,9488258,9513405,9524011,9856269,9917611,10147632,10165930,10220252,10989836,11138898,11416086,11719591,12199116,12369308,12986636,13059183,13064840,13370551,13605730,14021311,14123131,14125965,14219815,14600360,14697945,14941999,14977015,15067696,15124711,15383071,15544495,15677808,15922615,16057052,16132903,16323031,16326876,16425405,16816625,16951158,16978988,17063778,17243719,17520432,17637534,17670440,17681911,17972418,18288872,18598184,18653394,18739039,18941815,19107138,19710486,19833154,19872031,19879245,20179950,20574981,20922957,21199495,21204528,21442683,21446594,21481723,21525280,21575215,21606730,21819823,21977384,22143823,22730178,22926079,23855094,24023750,24215940,24388015,24494025,24724557,24949495,25244828,25439394,25830336,25890258,25928076,26126960,26225745,26252023,26258215,26597311,26738314,26877271,26971298,27007951,27920491,27974128,28733672,28828500,29059128,29070271,29265618,29392830,29923234,29939394,29986615,30182203,30671931,30750400,30990631,31067421,31221125,31273759,31352352,31470894,31474951,31509858,31690219,31844815,32262442,32302191,32325381,32691519,32939071,33314023,33480871,33602511,33773791,34594200,34624615,34775563,34867965,35271396,35949788,35983938,36064040,36294236,36693199,36712221,36900480,36956023,36985025,37192496,37395415,37465350,37474162,37502890,37511419,38213778,38317965,38440978,38918475,39156908,39360512,39411319,39963040,40337234,40415551,40517263,40572045,40708495,40872496,40898156,41259415,41513040,41549538,41626495,41658859,41841558,41970351,41976823,42124939,42176815,42658951,42888716,43276848,43459495,43515458,43562811,43705025,44272330,44280576,44382030,44453623,44832891,44874498,44923015,44958420,45003468,45010834,45616625,45653815,45981558,46130413,46302079,46702170,46719394,47268871,47340832,47362683,47680231,47699372,47863519,47866639,47955648,47998293,48264428,48275234,48555643,48686454,48689745,48738391,48850194,48934495,48960391,49511298,49815648,49951794,50484392,50612178,51356840,51444111,51773645,51935728,51992098,52021015,52151394,52238338,52401019,52446030,52754839,52835750,53126796,53258436,53636671,53907618,53936972,53950104,53995663,54010258,54709916,54739950,54784578,55179183,55798671,55817815,55938440,55942432,56028991,56042604,56071951,56516779,56726283,56728651,56794941,57140825,57461282,57509131,57619615,57624620,57678621,57776445,58267983,58357292,58389280,58427694,58720591,58721394,58888618,58982011,59346098,59776495,59966890,60124231,60580471,60673495,60693867,60723471,60785036,60995563,61628208,61932919,62128374,62164940,62425218,62435750,62440711,62540962,62930745,62935236,63358495,63402900,64405834,64419691,64721899,65131231,65349463,65604151,65661514,65687940,65900590,65949631,65951851,66299623,66568615,66742988,66981378,67126128,67404783,67613025,67629760,67813495,67898671,68141960,68199631,68246311,68568990,68665025,68701495,68811259,68816479,68908683,68964620,68980418,69063499,69143538,69149544,69212264,69213391,69331734,70067136,71303691,71731794,71960268,72032791,72120560,72488719,72580904,72808194,73140256,73174891,73479415,73582411,73962350,74537215,74597928,74870283,74922900,75516894,75769495,76030194,76083480,76168232,76481431,76659705,76883263,77175415,77230731,77479819,77793237,77839658,77863797,77932231,78754015,78814402,78825528,79080708,79251031,79284783,79511714,79605932,79882338,79917760,79993474,80406823,80666012,80957791,81003031,81028495,81040930,81135630,81155712,81328251,81341645,81376194,81629750,81653517,81770352,81787784,82282788,82398030,82441794,82480354,82612556,82757544,82903058,83122015,83367560,83426791,83650683,83844908,83922669,84180523,84780140,85036015,85593915,85644013,85689261,86402474,86543530,86544672,86598415,86611245,87395151,87891232,87967983,88061623,88175298,88330615,88430071,88678719,88754820,88811852,89221423,89396283,89444658,89530111,89713495,89907480,90923394,91300176,91386831,91549051,91670331,91991646,92011257,92028130,92251222,92299495,92385328,92446831,92594482,92610498,92815615,93102237,93648783,93788505,94143700,94216930,94371871,94504818,94671808,94738123,94890994,95268823,95350498,95388776,95483612,95901312,95988523,96518792,96623818,97015791,97234194,97249116,97362756,97494730,97609974,97852683,97955700,98481698,98639815,98702602,98727823,98877636,99151495,99313111,99746418,99892471,99893719,99993031,...,1201258608266710734800494922153416617103257153113082340584561236069529465925369688763711152824114950509238335677583833128967863301647182737844948234367089230407476945533765200644531700712426930119957875708632342106786174451630294826676429684248254513248492216228894377888027313556872266219064046667283223645937161427969112510021627216139654891413793511732138479988388856839174146188013843672185076587864874036049561615255416090073620100193997619593433908067021248754421485198440218257795826593011923201274875308750181296141466038300467840076753697433728326539497105610027555856376501199867454871725477143044050897203116691582718457495144002893161551293537820681656549689375922772431157586616927778972726431897148178862797461553985091327937127884424955531548780979275156678047522115764858370697399011886030420456907793369092084896003584416826463240152095026521644958103965161545603086384812815980119007765184899151077113107602782635661548150027882558078015628073657700241640630738713322952678760203029779576204938220330254468552457209914104337063399428564592941550098993257602896370275950596158282733244701705211235657167675431467540353530235703976052380573805047900778682312616803790067558202769653830404436358232305314722957648559616880863330682611249744063210037017622009580980191209584768433609915373629791846447169424124363280882875797193410649096826692843008385709375949451593368644752796689794970594375634453302857179220434224739128393065439141800524620545539454651966158491348703994146529264536234596525169710697837201887929918956682249595491740229029735691144040407369493823644687576585704922986084873337831619553683698669676156489478491372322061443875960464772604143313604076330231316358284324824010007787789113175949596650287985044691442709807673002777133294512634196263238283140982850797020738752832517636306117426372376829366304786090064472651756367630267344201103384593288529415190443683648682081328461818338761731957575480351076344044870848659975187449307656750602207820241729870692696734571956662460600309837373949672803863204678550183744462065217141542671918126342624448805771798195669348290001785354233685429321083232067527880088043072125592452603510765480065097427011890636430568229192152409032894030353292991911626439500362531395491778656848653710326432826152356675846528353884699078010808615150140060706757609021119500988262778647859071678876233829191465960793927722080846560458339580901032295140816160423205320271428079213352826940007911028264838950587037070900100516008978855515553534307682606754265181610417907859472033076940492949523663054093016405626481418903243189038171507662338070895706252988047054930022503187064783851635150813362856858788266209221962898342188593386101510705620880756906840546277863844485904459628588271927751912364220683028145791330484874942904475634874284946041870315831143421472113278390271355338299972958114111929158576269075940937472903686804357308932793066317395495311803806666283722812789485493518231840265966197796676847480253995363646857817378487243240354098249994757252007188742026697692484753056720756646}
19242  15384389952344347808403631865562288729334838698480983191633147540143311: {96185,115422,211541,442037,538468,557177,595541,769240,865395,923088,1038474,1114238,1131797,1170041,1460644,1513877,1933241,1971317,2263358,2381668,2613784,2940507,3109877,3180062,3298937,3535192,3638741,3866078,3977091,4015541,4353977,4429097,4456024,4579241,4991477,5013027,5103737,5246787,5365397,6246175,6259541,6370382,6627795,7038137,7069648,7222997,7399315,7426708,7495410,7665987,7953354,7995104,8133592,8254517,8438057,8631902,8879178,8994492,9082478,9126175,9150291,9352757,9740991,9790037,10117241,10516277,10570450,10654958,10661141,10777371,10951410,11102942,11191192,11431735,11528548,11681504,11982868,12107224,12246197,12590091,12684540,12775315,12997241,13141692,13184234,13318037,13530176,13620627,13673717,13718082,13737295,14064041,14232387,14851864,14912297,15108878,15221448,15248895,15264377,15330378,15461635,15861077,16002763,16233295,16265488,16273411,16331050,16484754,16654142,16708347,17012777,17124129,17221241,17412244,17429417,17533982,18086741,18250450,18298674,18397097,18411518,18465977,18553962,18569237,18775541,18834620,19068158,19118741,19230211,19290041,19479954,19505198,19597260,19836857,20071315,20109497,20347637,20408595,20856617,20903744,21223735,21247598,21330041,21532457,21667241,21769168,21900540,22088050,22137977,22601544,22751704,22861090,23041397,23247730,23360576,23374517,23516712,23640437,23673641,23963224,24059342,24085578,24274622,24336041,24477362,24490314,24871192,25141963,25426737,25468482,25476184,25595667,25814741,25847417,25945397,25991678,26280648,26304041,26456301,26499257,26505660,26633198,26906600,26958627,27433308,27471730,27567797,27897276,27954197,27980091,28272704,28531637,28590244,28660707,29233877,29329337,29398142,29565729,29749731,30185237,30212611,30269925,30306904,30343097,30455102,30658217,30752597,30876878,31556035,31567541,31754837,31806792,32169891,32287920,32410095,32543434,32558222,32658700,32965241,32966076,33395438,33704057,33734741,33919192,34021838,34095267,34440448,34520344,34529717,34570768,34651541,34855022,34967660,35076917,35289017,35478398,35742197,35763434,35782641,35893262,35917090,36035625,36323910,36643157,37685177,37803641,37867242,38159091,38164718,38438000,38745504,38835387,38892114,39020824,39127541,39190440,39536117,39565241,39601118,39805742,39919192,40001141,40107471,40214558,40406357,40456947,40579541,40895908,41423228,41640878,41803136,41961192,42013144,42047102,42408917,42465557,42550457,42578741,42655358,43060142,43069588,43100508,43142741,43170857,43242750,43395497,43588692,43898427,44089245,44173843,44511017,44803348,44843177,44884851,44909091,44937235,45080050,45276158,45339257,45367795,45443762,45887417,45914741,46077662,46125600,46490620,46677278,46866041,47028528,47109077,47206341,47264787,47275598,47432117,47512697,47978584,48314537,48393663,48871541,48946135,48949628,48977237,49200640,49372457,49953800,50935337,50951704,51034862,51090041,51090620,51122695,51129034,51449897,51623678,51891300,51986741,52241141,52848437,52898837,52907094,52974377,52992542,53376041,53577038,53610895,53924682,53975907,54096060,54272297,54441354,54716537,55129358,55231541,55350720,55399384,55515998,55788744,55815797,55902062,55960468,55961141,56082041,56198025,56211243,56226857,56254335,56467577,56587637,56864702,57018197,57184937,57320667,57398741,57517241,57661467,57702464,58083748,58317737,58588382,58714517,58735362,59040768,59176040,59270741,59616041,59624215,59777188,59832664,59944560,59959541,60004624,60096437,60164777,60300398,60323957,60330535,60505851,60560731,60979241,61308744,61347234,61516457,62004857,62203541,62269560,62324307,62730197,62762337,63105490,63150244,63295541,63489977,63502382,63508291,63812597,63940864,63962537,63997724,64196050,64249742,64333074,64915272,64917077,64919660,65022137,65133592,65210741,65273187,65523641,65552078,65958677,66015064,66108062,66164597,66293102,66408495,66420864,66533237,66573045,66602392,66647203,67311747,67383317,67400318,67421215,67437630,67482904,67505202,67516251,67563641,67842857,67862741,68140277,68258741,68387395,68573237,68592148,68972337,69254057,69535192,69619541,69923050,69928040,70053255,70079091,70454837,70835728,71011248,71145257,71200757,71403641,71415758,71549058,71564311,71876824,71933472,72030775,72115157,72396642,72412851,72761141,72946615,72986600,73029681,73046104,73097897,73217918,73275291,73291541,73309097,73572244,73710677,73970297,74266947,74398228,74723472,74856377,74927691,75107957,75183662,75361502,75407477,75440597,75635044,75726588,75737237,75753641,75835541,75918267,75981295,76096277,76177337,76579637,76802741,76904828,77035260,77103017,77524757,77690644,77706175,77802677,77836142,77894741,77903592,77971241,77988147,78123641,78187358,78227091,78290357,78295192,78357507,78426041,78669045,78740117,79062878,79253625,79412078,79586462,79690194,79887654,80017877,80102741,80313641,80397497,80467157,80837162,80853557,80861427,80905458,80925156,80964628,81015387,81149438,81287477,81322382,81327737,81541241,81686837,81818357,81883817,82064874,82109925,82117817,82170944,82176867,82323641,82514741,82837832,82953641,83003177,83043902,83151017,83233624,83261141,83428735,83465179,83754617,83790197,83872937,83907660,83913648,83967017,84037241,84048917,84063906,84395477,84453943,84537200,84554741,84768377,84790697,84835241,84957077,84990137,85090718,85154357,85177450,85488041,85646741,85699241,85882291,85896917,85937438,86101877,86191923,86205775,86275118,86353577,86436930,86515330,86668457,86780558,87097397,87116798,87218297,87328697,87452462,87535938,87583920,87641541,87679541,87889397,88060757,88082091,88162037,88237241,88320041,88332927,88563641,88674857,88838741,88955822,88961237,89019147,89074217,89096597,89122142,89308504,89501504,89508137,89565427,89620238,89814677,89873044,89950335,90008611,90150700,90154937,90192041,90228857,90283541,90319637,90461141,90719477,90726130,90735737,90777422,90800057,90955817,91045817,91175957,91177554,91218041,91335977,91425320,91579577,91603241,91739177,91763678,91789241,91854677,91861397,91878244,92084777,92101241,92138537,92141141,92176757,92191384,92199392,92236457,92282741,92295317,92301497,92342741,92362937,92370041,92388917,92442312,92456057,92467541,92472437,92485241,92501141,92510741,92516117,92520377,92527541,92530517,92538041,92541737,92553641,92563577,92563637,92581598,93192561,93247410,93422848,93637827,93653625,93811443,94206638,94402854,95071588,95104350,95210290,95642392,95732371,95817278,95947024,96608751,97077592,97731038,98047982,98492271,98531910,98830963,98850885,99463904,99507415,99827044,99897200,...,1801887912400066102200742383230124925654885729669623510876841854104294198888054533145566729236172425763857503516375749693451794952470774106767422351550633845611215418300647800966797551068640395179936813562948513160179261677445442240014644526372381769872738324343341566832040970335308399328596070000924835468905742141953668765032440824209482337120690267598207719982583285258761219282020765508277614881797311054074342422883124135110430150290996429390150862100531873131632227797660327386693739889517884801912312963125271944212199057450701760115130546150592489809245658415041333784564751799801182307588215714566076345804675037374077686242716004339742326940306731022484824534063884158646736379925391668459089647845722268294196192330977636991905691826637433297323171468912735017071283173647287556046098517829045630685361690053638127344005376625239694860228142539782467437155947742318404629577219223970178511647777348726615669661404173953492322225041823837117023442110486550362460946108069984429018140304544669364307407330495381702828685814871156505595099142846889412325148489886404344555413925894237424099867052557816853485751513147201310530295353555964078570860707571851168023468925205685101337304154480745606654537348457972084436472839425321294996023916874616094815055526433014371470286814377152650414873060444687769670754136186544921324313695790115973645240039264512578564063924177390052967129195034692455891563451679954285768830651337108692589598158712700786930818309181977949237737023055991219793896804351894787754566046755802831894878435023374393237610343544603536716060611054240735467031364878557384479127310006747429330525548004514234734217737058483092165813940697158906214970406114495346974537426487236015011681683669763924394975431977567037164064711509504165699941768951294394857424711474276195531108129248776454459176139558565244049457179135096708977634551445401016301655076889932794122785665525473023121992692727508142597936363220526614516067306272989962781173961485125903311730362594806039045101857934993690900464756060924509205794807017825275616693097825712314007877189513936673208657697293504022435002678031350528143981624848101291820132064608188388678905266148220097646140517835954645852343788228613549341045529939487867439659250543797093237667985272980565489649239228535013769792530827048617016212922725210091060136413531679251482394167971788607518314350743787198941190891583121269840687509371351548442711224240634807980407142118820029240410011866542397258425880555606350150774013468283273330301461523910131397772415626861789208049615410739424285494581139524608439722128354864783557257261493507106343559379482070582395033754780597175777452726220044285288182399313832944347513282890079152266058431321135360260819416795766728856689442882407891627868546331024542218686995727312414356713452311427419062805473746715132208169917585407033007449959437171167893737864403613911406209355530206535963399189599476093242967705709999425584219184228240277347760398949296695015271220380993045470286726067730864860531147374992135878010783113040046538727129585081134969}
19243  15445263427433977996118266979035868221874279160451710350359406713641162: {153896,173133,673085,807702,961550,1153860,1230784,1384632,1557711,1671357,1825805,2190966,2287061,2748317,2977085,3093293,3267230,3395037,3572502,3899021,3920676,4015517,4246073,4418990,4650998,4745117,4770093,5302788,5570030,5742893,5799117,6185942,6203861,6684036,6995716,7116893,7185662,8030198,8491262,8837060,9283385,9555573,9718742,9792293,9993880,10166990,10221316,10593821,10604472,11101646,11140062,11243115,11720813,11838904,11930031,11992656,12200388,12947853,12987988,12995381,13318767,13491738,13623717,13988990,14022773,14232302,14369828,14410685,14601880,14943557,14978585,15134030,15670877,15855675,15982437,16324733,16427115,16654413,16690973,16786788,16912720,17245517,17292822,17522256,17974302,18160836,18179993,18290776,18432941,18564830,18976516,19026810,19048022,19712538,19776351,19835222,19907741,20295264,20331860,20440504,20577123,20967821,21762293,21765305,21979672,22146137,22209917,22277796,22291661,22663317,22832172,22995567,23439182,23543275,24386861,24398232,24496575,24727131,24738616,24981213,25973272,26118366,26129680,26300973,26518541,26741102,27094457,27211460,27375675,27448011,27617277,27830943,28042622,28246262,28251930,28439630,28602237,29200720,29219931,29257797,29395890,29679293,29883998,29954030,30135392,30185357,30205301,30249422,30488333,30766142,31088990,31355616,31693541,31845230,31871397,32114104,32265806,32646062,32653752,32850810,33132075,33633250,33902316,33957976,34127556,34143221,34190717,34291635,34487438,34779197,34871595,34929293,35040864,35275068,35340880,35363822,35421293,35737805,35944836,36089013,36128367,36411933,36577744,36716043,36735471,36761501,36959897,37196368,37306788,37419797,37452077,37478078,37883630,37930541,38202723,38214276,38927993,38987517,39420972,39666308,39744062,39758490,39949797,40359900,40521497,40823375,41149962,41207595,41845914,41981261,42129341,42398990,42409056,42885366,42893188,42963446,43050560,43150430,43213460,43311557,43639646,43709575,43954768,44097213,44287646,44331677,44582741,45102581,45460356,45682653,45852158,46315317,46629077,47445581,47710188,47763833,47871641,48047500,48431880,48474461,48560717,48776030,48815151,48837333,48988050,49233197,49449114,49683461,49898990,50093157,50201597,50489656,50878788,50895161,51032757,51119885,51660672,51779035,51780516,51856152,52253920,52282533,52353581,52451490,52504046,52516430,53194622,53217597,53476628,53645151,53754542,53836985,53839893,53875635,53942596,54015902,54485865,54720437,55840982,55948256,56004185,56565977,56800863,56991893,57247077,57467344,57657000,57763181,58113275,58118256,58140542,58277093,58338171,58531236,58785660,59047541,59401677,59708613,59846468,59878788,59973230,60321837,60364406,60843293,61001957,61187035,61343862,61500800,61928477,61981262,62134842,62442250,62461317,62547518,62620637,62704704,62892221,62941788,62949902,63019716,63070653,63380438,63388793,63689630,63863275,63915341,63983037,64524884,64590213,64604382,64650762,64864125,64954037,65138117,65383038,65878142,66226637,66628046,66792557,66961742,67205022,67547582,67620075,67914237,68165643,68508293,69116493,69188400,69249230,69551126,69706013,69735930,69786677,69950585,70015917,70297421,70542792,70913397,71149241,71899576,71967876,72128080,72483103,72588472,72604685,72829421,73386398,73424442,73800960,73912046,73970050,74384992,74721485,74790830,74930700,74948324,75005780,75022838,76223117,76427556,76489517,76552293,76635930,76693551,76881956,76973273,77378477,77435517,77487941,77836950,77940473,78144941,78313816,78721024,78822638,78937805,79360641,79488813,79926080,79997155,80365557,80507237,80667461,80674468,80831102,80887023,81034526,81144090,81149575,81322397,81416990,81662031,81744992,81796312,82185557,82518830,82694037,83026080,83099076,83252990,83273997,83317718,83683116,83687093,83853093,83940702,83953646,84249878,84353630,84942893,85297053,85317902,85740185,85777432,86553696,86918990,87030916,87125622,87410050,87882573,88103043,88544660,88561152,88701893,88764060,88907246,89652221,89665782,89748996,89846030,89916840,90006936,90021668,90054077,90450597,90482237,90751397,91233250,91307630,91963116,91965305,92020851,92250677,92260826,92604158,92743733,92997785,93196061,93404340,93438788,94537742,94543805,94658235,94681664,94725366,94938893,95253573,95360462,95398744,95727038,95733278,95911296,95996586,96131035,96182093,96294075,96374613,96499611,96528856,96550468,96660761,97111286,97113305,97372908,97379490,97476782,97700388,97782701,97868990,97920782,98328117,98738261,99022596,99162093,99439653,99631296,99718061,99903588,...,2402517216533421469600989844306833234206514306226164681169122472139058931850739377527422305648229901018476671355167666257935726603294365475689896468734178460814953891067530401289063401424853860239915751417264684213572348903260589653352859368496509026496984432457788755776054627113744532438128093334566447291874322855938225020043254432279309782827587023464276959976777713678348292376027687344370153175729748072099123230510832180147240200387995239186867816134042497508842970396880436515591653186023846402549750617500362592282932076600935680153507394867456653078994211220055111712753002399734909743450954286088101794406233383165436914990288005786323102587075641363313099378751845544862315173233855557945452863794296357725594923107970182655874255768849911063097561958550313356095044231529716741394798023772060840913815586738184169792007168833652926480304190053043289916207930323091206172769625631960238015530369798302154226215205565271323096300055765116156031256147315400483281261477426645905357520406059559152409876440660508937104914419828208674126798857129185883100197986515205792740551901192316565466489403410422471314335350862935080707060471407952104761147610095801557364625233607580135116405539307660808872716464610629445915297119233761726661365222499488126420074035244019161960382419169536867219830747259583692894338848248726561765751594386821298193653385686016771418751898903186737289505593379589941188751268906605714358440868449478256786130878283601049241091078909303932316982697407988293058529072469193050339421395674403775859837913364499190983480458059471382288080814738987647289375153171409845972169746675663239107367397339352312978956982744644122887751920929545208286627208152660462632716568649648020015575578226351899193300575970089382885419615346005554266589025268392526476566281965701594041477505665035272612234852744753658732609572180128945303512735260534688402206769186577058830380887367297364162656923636677523463915150960702152688089741697319950374898615313501204415640483459741385393469143913324921200619674747899345607726409357100367488924130434283085343836252685248897611543596391338696580003570708467370858642166464135055760176086144251184905207021530960130194854023781272861136458384304818065788060706585983823252879000725062790983557313697307420652865652304713351693056707769398156021617230300280121413515218042239001976525557295718143357752467658382931921587855444161693120916679161802064590281632320846410640542856158426705653880015822056529677901174074141800201032017957711031107068615365213508530363220835815718944066153880985899047326108186032811252962837806486378076343015324676141791412505976094109860045006374129567703270301626725713717576532418443925796684377186772203021411241761513813681092555727688971808919257176543855503824728441366056291582660969749885808951269748569892083740631662286842944226556780542710676599945916228223858317152538151881874945807373608714617865586132634790990623607613332567445625578970987036463680531932395593353694960507990727293715634756974486480708196499989514504014377484053395384969506113441513292}
19244  15506376044495818095954929029046586264550913742148270667870943143743473: {134659,192370,230844,250003,423082,595603,710659,884074,1076936,1114354,1170163,1191082,1211553,1442325,1538480,1730790,1846176,1971523,2076948,2228476,2263594,2340082,2921288,2996659,3027754,3110203,3286449,3676843,3866482,3942634,4526716,4763336,4900845,5141683,5227568,5358753,5881014,6219754,6260203,6360124,6597874,6628485,6976497,7070384,7277482,7732156,7954182,8031082,8355045,8585659,8707954,8744645,8858194,8912048,9134659,9158482,9278913,9982954,10026054,10207474,10359041,10493574,10730794,10778493,11046325,11312659,12045297,12283363,12492350,12519082,12736893,12740764,12776645,12820123,13255590,13461859,13888243,14076274,14139296,14445994,14525659,14578113,14798630,14853416,14949163,14990820,15250485,15331974,15906708,15990208,16004429,16107859,16234985,16267184,16509034,16652469,16710093,16876114,17153659,17263804,17758356,17885441,17962285,17988984,18088723,18164956,18252350,18300582,18605683,18705514,18811963,19232213,19326403,19481982,19580074,20234482,20237607,20247859,20349883,20983485,21032554,21140900,21309916,21322282,21348453,21554742,21646289,21669643,21902820,22174003,22205884,22382384,22701045,22726613,22863470,23057096,23363008,23676283,23720645,23965736,24214448,24492394,24668803,25180182,25369080,25414825,25550630,25569841,25850323,25939233,25994482,26283384,26339563,26368468,26636074,26961453,27060352,27118603,27241254,27347434,27436164,27474590,27847245,28099841,28128082,28464774,28540215,28566883,28572033,29237203,29568807,29703728,29713229,29713843,29752833,29824594,30217756,30442896,30497790,30528754,30567259,30660756,30661723,30923270,31038859,31414843,31722154,32005526,32349763,32442859,32466590,32530976,32546822,32662100,32969508,33308284,33416694,33738643,34014325,34025554,34248258,34289659,34442482,34824488,34858834,35067964,35158773,35293123,35705813,36173482,36500900,36557659,36597348,36794194,36823036,36931954,37107924,37138474,37541323,37551082,37669240,38136316,38237482,38251243,38460422,38580082,38692603,38959908,39010396,39177549,39194520,39569923,39673714,40111653,40142630,40218994,40695274,40817190,41713234,41807488,41902723,42063933,42369393,42377895,42447470,42495196,42583843,42659445,42660082,43064914,43176043,43334482,43538336,43801080,44093835,44176100,44178449,44266483,44275954,44349859,44433163,44825997,44931045,45203088,45374133,45503408,45591859,45722180,45920323,46002259,46082794,46149213,46492363,46495460,46633485,46721152,46749034,47033424,47280874,47347282,47767845,47926448,48118684,48171156,48347083,48398709,48549244,48672082,48954724,48969093,48980628,49276215,49536163,49582885,49742384,50283926,50449875,50853474,50936964,50952368,51096403,51173659,51191334,51629482,51694834,51731157,51890794,51983356,52018723,52247683,52561296,52608082,52703659,52912602,52998514,53006203,53011320,53045733,53157043,53266396,53616485,53813200,53917254,54016825,54575659,54866616,54943460,55135594,55238563,55311859,55794552,55908394,55960182,56113363,56217117,56545408,56762659,56825445,56834443,57063274,57180488,57321414,57902563,58467754,58605643,58658674,58796284,59131458,59301523,59499462,59616093,59637735,60059375,60195403,60370474,60425222,60539850,60603859,60613808,60686194,60910204,61009723,61278859,61316434,61505194,61546843,61613659,61724943,61753756,62672923,62768871,62912129,63112070,63135082,63509674,63514913,63520003,63598485,63613584,63842563,64227259,64328049,64339782,64445169,64575840,64725645,64820190,64862659,65086868,65116444,65317400,65459469,65553283,65802259,65930482,65932152,66419659,66431469,66481003,66790876,66845785,66969163,67271923,67408114,67428245,67469482,67838384,67872043,68043676,68190534,68524589,68778237,68880896,69040688,69059434,69141536,69166963,69303082,69456403,69710044,69935320,70153834,70313923,70578034,70764643,70956796,71155243,71432083,71484394,71526868,71565282,71571773,71786524,71834180,72071250,72143443,72647820,73164045,73286314,73319563,73482075,73738603,74101483,74173671,74808085,74848485,74867203,75055253,75068659,75370354,75607282,75734484,75764683,76058659,76107403,76318182,76329436,76782259,76829923,76876000,77491008,77670774,77784228,78041648,78180859,78255082,78380880,78677235,78756069,78774645,79072234,79121323,79130482,79202236,79611484,79791933,79838384,79944859,79987483,80002282,80214942,80429116,80535043,80631813,80656105,80812714,80913894,80947963,81023853,81159082,81353683,81393859,81791659,81791816,82336483,82717003,82846456,83127259,83281756,83473901,83492659,83606272,83761473,83815363,83922384,83992123,84026288,84062323,84094204,84236563,84462749,84579643,84748483,84817834,84931114,85014883,85100914,85157482,85310716,85533859,85660723,86120284,86139176,86201016,86285482,86341714,86485500,86750659,86790994,86894659,87177384,87210813,87288283,87694363,87720859,87796854,88178490,88347686,88953859,89022034,89044723,89089723,89606696,89686354,89709859,89730163,89769702,89818182,89874470,89929243,89959845,90160100,90448363,90546609,90552316,90678514,90735590,90800659,90887524,90972523,91032859,91370683,91499203,91632259,91689859,91756603,91774834,91789003,91829482,92015793,92042659,92094283,92119123,92155324,92159083,92197243,92251200,92274859,92313523,92343763,92361043,92463859,92501659,92505043,92547163,92557603,92570563,92577259,92582443,92582803,92971893,92981240,93202263,93354556,93663375,93685405,93732082,93757225,93821277,94057056,94218154,94389701,94412682,94424853,94529574,94551196,94864234,95025394,95070657,95156941,95534445,95742353,95957168,96102445,96629074,96787326,96906573,96976143,97743082,97892270,97899256,97954474,98074557,98401280,98744914,98817213,99907600,99942069,...,3603775824800132204401484766460249851309771459339247021753683708208588397776109066291133458472344851527715007032751499386903589904941548213534844703101267691222430836601295601933595102137280790359873627125897026320358523354890884480029289052744763539745476648686683133664081940670616798657192140001849670937811484283907337530064881648418964674241380535196415439965166570517522438564041531016555229763594622108148684845766248270220860300581992858780301724201063746263264455595320654773387479779035769603824625926250543888424398114901403520230261092301184979618491316830082667569129503599602364615176431429132152691609350074748155372485432008679484653880613462044969649068127768317293472759850783336918179295691444536588392384661955273983811383653274866594646342937825470034142566347294575112092197035658091261370723380107276254688010753250479389720456285079564934874311895484636809259154438447940357023295554697453231339322808347906984644450083647674234046884220973100724921892216139968858036280609089338728614814660990763405657371629742313011190198285693778824650296979772808689110827851788474848199734105115633706971503026294402621060590707111928157141721415143702336046937850411370202674608308961491213309074696915944168872945678850642589992047833749232189630111052866028742940573628754305300829746120889375539341508272373089842648627391580231947290480078529025157128127848354780105934258390069384911783126903359908571537661302674217385179196317425401573861636618363955898475474046111982439587793608703789575509132093511605663789756870046748786475220687089207073432121222108481470934062729757114768958254620013494858661051096009028469468435474116966184331627881394317812429940812228990693949074852974472030023363367339527848789950863955134074328129423019008331399883537902588789714849422948552391062216258497552908918352279117130488098914358270193417955269102890802032603310153779865588245571331050946046243985385455016285195872726441053229032134612545979925562347922970251806623460725189612078090203715869987381800929512121849018411589614035650551233386195651424628015754379027873346417315394587008044870005356062701056287963249696202583640264129216376777357810532296440195292281035671909291704687576457227098682091059878975734879318501087594186475335970545961130979298478457070027539585061654097234032425845450420182120272827063358502964788335943577215036628701487574397882381783166242539681375018742703096885422448481269615960814284237640058480820023733084794516851761111212700301548026936566546660602923047820262795544831253723578416099230821478848570989162279049216879444256709729567114514522987014212687118758964141164790067509561194351554905452440088570576364798627665888695026565780158304532116862642270720521638833591533457713378885764815783255737092662049084437373991454624828713426904622854838125610947493430264416339835170814066014899918874342335787475728807227822812418711060413071926798379198952186485935411419998851168438368456480554695520797898593390030542440761986090940573452135461729721062294749984271756021566226080093077454259170162269938}
19245  15567728736269250033651703024258569343073536672851460060015252011884137: {288555,307792,346266,634623,942319,1326111,1346170,1615404,1671531,1786623,1923100,2307720,2461568,2556127,2596185,2769264,2785595,3115422,3248011,3342714,3395391,3510123,3651610,4167919,4381932,4541631,4574122,4745611,4860383,5496634,5551979,5658395,5799723,5913951,5954170,6186586,6534460,6790074,6933727,7145004,7798042,7841352,7950155,8031034,8492146,8821521,8837980,9301996,9329631,9490234,9540186,9665195,9896811,10605576,10916223,11140060,11182523,11485786,11598234,11931273,12046623,12371884,12407722,12996739,13061931,13287291,13368072,13737723,13991432,14233786,14371324,14966303,14974431,15039081,15311211,15325619,15672511,15740361,15925955,16060396,16096191,16982524,17674120,18087683,18434863,18566770,18738525,18778623,19111146,19437484,19584586,19883385,19987760,20174959,20333980,20442632,20970019,21114411,21187642,21208944,21579755,21668991,22197945,22203292,22280124,22486230,22706195,22997961,23122499,23441626,23677808,23767403,23860062,23985312,24400776,24763551,25314171,25895706,25975976,25990762,26004191,26426125,26637395,26637534,26983476,27247434,27378525,27450873,27757355,27977980,28045546,28058271,28464604,28739656,28821370,28957307,29203760,29222973,29370111,29453531,29887114,29957170,30268060,30351723,30471427,31341754,31548831,31711350,31964874,31983423,32213003,32332113,32649466,32777627,32854230,32960585,33308826,33381946,33573576,33825440,34295205,34491034,34585644,34781099,35044512,35948604,36321672,36359986,36536351,36581552,36738591,36865882,36915539,37129660,37456003,37770273,37772195,37953032,38053620,38096044,38325945,38991723,39425076,39552702,39670444,39815482,39954111,40407211,40590528,40663720,40827625,40861881,40881008,41021151,41154246,41211885,41253179,41635355,41935642,42192123,42697161,43316083,43524586,43530610,43834955,43959344,44292274,44418083,44419834,44555592,44583322,44736891,44827003,45326634,45626125,45664344,45746685,45793131,45991134,46028795,46384905,46878364,47086550,47450539,47583231,47670395,48008289,48327107,48699563,48699885,48762995,48773722,48796464,48820233,48993150,49454262,49477232,49962426,50032927,50125041,50206843,50408767,51038331,51372387,51663723,51946544,52236732,52259360,52288251,52601946,53037082,53072447,53118995,53482204,53761451,54188914,54260223,54422920,54751350,54896022,55107091,55191291,55220125,55234554,55397931,55661886,55707711,56085244,56326623,56492524,56503860,56879260,56882827,57152725,57204474,57356223,57690633,57870123,58119325,58401440,58439862,58515594,58791780,59358586,59510571,59767996,59908060,60148355,60213945,60270784,60328491,60370714,60410602,60498844,60686555,60976666,61042911,61193405,61225785,61532284,61813139,62177980,62569851,62711232,63387082,63671205,63690460,63734819,63742794,63990123,64228208,64531612,64597371,64979195,65001723,65068763,65292124,65307504,65363171,65701620,65963579,66264150,66413931,66582995,67266500,67804632,67915952,68255112,68286442,68381434,68583270,68679325,68974876,69124191,69558394,69743190,69858586,70081728,70123551,70550136,70681760,70727644,70842586,70921311,71020923,71475610,71567839,71889672,71952323,72178026,72256734,72490649,72823866,73008123,73155488,73324859,73432086,73470942,73495355,73523002,73919794,74392736,74613576,74839594,74904154,74956156,75145519,75371779,75425889,75767260,75800867,75861082,76137755,76280211,76405446,76428552,76787001,76981411,77192195,77444223,77542251,77836191,77855986,77975034,78405859,78841944,78912123,79332616,79368903,79488124,79497771,79516980,79899594,80719800,80875881,81042994,81358585,81395555,81646750,82299924,82415190,82703391,83488595,83603183,83691828,83862591,83940273,83962522,84258682,84797980,84818112,85054595,85594911,85661849,85770732,85786376,85926892,85982121,86101120,86300860,86426920,86623114,86699507,87137555,87279292,87419150,87701631,87909536,87988011,88194426,88575292,88663354,88695995,88697187,89145023,89165482,89249193,89408585,89661619,89733155,89792725,90205162,90509819,90555711,90637833,90809775,90920712,91029291,91365306,91447291,91704316,91974651,92257791,92630634,93258154,94668105,94702623,94891162,95197883,95264511,95411795,95420376,95527666,95743282,96095000,96264703,96509673,96863760,96948922,97121434,97230285,97552060,97630302,97674666,97930819,97976100,98071867,98466394,98821067,98895723,98898228,99002795,99366922,99514355,99797980,...,5405663737200198306602227149690374776964657189008870532630525562312882596664163599436700187708517277291572510549127249080355384857412322320302267054651901536833646254901943402900392653205921185539810440688845539480537785032336326720043933579117145309618214973030024700496122911005925197985788210002774506406717226425861006295097322472628447011362070802794623159947749855776283657846062296524832844645391933162223027268649372405331290450872989288170452586301595619394896683392980982160081219668553654405736938889375815832636597172352105280345391638451777469427736975245124001353694255399403546922764647143698229037414025112122233058728148013019226980820920193067454473602191652475940209139776175005377268943537166804882588576992932910975717075479912299891969514406738205051213849520941862668138295553487136892056085070160914382032016129875719084580684427619347402311467843226955213888731657671910535534943332046179847008984212521860476966675125471511351070326331459651087382838324209953287054420913634008092922221991486145108486057444613469516785297428540668236975445469659213033666241777682712272299601157673450560457254539441603931590886060667892235712582122715553504070406775617055304011912463442236819963612045373916253309418518275963884988071750623848284445166579299043114410860443131457951244619181334063309012262408559634763972941087370347920935720117793537735692191772532170158901387585104077367674690355039862857306491954011326077768794476138102360792454927545933847713211069167973659381690413055684363263698140267408495684635305070123179712831030633810610148181833162722206401094094635672153437381930020242287991576644013542704202653211175449276497441822091476718644911218343486040923612279461708045035045051009291773184926295932701111492194134528512497099825306853883184572274134422828586593324387746329363377528418675695732148371537405290126932903654336203048904965230669798382368356996576419069365978078182524427793809089661579843548201918818969888343521884455377709935191087784418117135305573804981072701394268182773527617384421053475826850079293477136942023631568541810019625973091880512067305008034094051584431944874544303875460396193824565166036715798444660292938421553507863937557031364685840648023136589818463602318977751631391279713003955818941696468947717685605041309377592481145851048638768175630273180409240595037754447182503915365822554943052231361596823572674749363809522062528114054645328133672721904423941221426356460087721230035599627191775277641666819050452322040404849819990904384571730394193317246880585367624148846232218272856483743418573825319166385064594350671771784480521319030678138446211747185101264341791527332358178660132855864547197941498833042539848670237456798175293963406080782458250387300186570068328647223674883605638993073626656060987181937243070140356934282257188416421240145396624509752756221099022349878311513503681213593210841734218628066590619607890197568798428279728903117129998276752657552684720832043281196847890085045813661142979136410860178203192594581593442124976407634032349339120139616181388755243404907}
19246  15629322439105580116645397606740209008831764569561006799482562055571173: {269318,384740,461688,500006,519399,846164,1191206,1421318,1590529,1704973,1768148,2019255,2047873,2153872,2228708,2340326,2382164,2403875,2423106,2884650,3076960,3186193,3299629,3461580,3692352,3943046,4153896,4430029,4456952,4527188,4673133,4680164,5014071,5477415,5842576,5993318,6055508,6220406,6557953,6572898,6861183,7353686,7732964,7885268,8168075,8244951,8329729,8439853,8931255,9053432,9279879,9427729,9526672,9801690,10185111,10283366,10455136,10717506,11047475,11627495,11697063,11762028,12046551,12141229,12242503,12248833,12439508,12520406,12720248,12738219,13195748,13256970,13747729,13925075,13952994,14140768,14235351,14310279,14554964,15464312,15464855,15908364,16062164,16710090,17171318,17228679,17397351,17415908,17489290,17716388,17824096,17848813,17887303,17964155,18269318,18316964,18470029,18557826,18611583,19909453,19965908,20011729,20052108,20075495,20414948,20718082,20987148,21228155,21350679,21436033,21461588,21556986,22092650,22625318,22645633,22728979,23146573,23446273,24090594,24296855,24566726,24984700,25038164,25132333,25147199,25417475,25473786,25481528,25553290,25572503,25624273,25640246,26511180,26602753,26923718,27754115,27776486,27850155,28152548,28278592,28538113,28666719,28825933,28891988,29051318,29156226,29304193,29376879,29597260,29706832,29898326,29981640,30218903,30500970,30663948,31781463,31813416,31980416,32008858,32215718,32469970,32534368,33018068,33158029,33208903,33304938,33420186,33729345,33752228,34307318,34527608,34972475,35085073,35162439,35448529,35516712,35580755,35770882,35790093,35810833,35924570,35977968,36177446,36329912,36442093,36504700,36601164,36801229,37211366,37411028,37623926,37694029,37835075,38464426,38491393,38652806,38843559,38963964,38986143,39107533,39160148,39508799,39807373,39956301,40468964,40475214,40495718,40675693,40699766,40762129,40871151,41279233,41966970,42065108,42068319,42197779,42281800,42475729,42619832,42644564,42696906,43109484,43232055,43292578,43339286,43805640,44348006,44411768,44577229,44660353,44764768,44830671,44935755,45402090,45405229,45453226,45726940,46114192,46307713,46412075,46726016,47012631,47352566,47363053,47441290,47567025,47620055,47765713,47931472,47947311,48428896,48974199,48984788,49042129,49281345,49337606,49588055,49963239,50072919,50300113,50360364,50738160,50829650,51101260,51139682,51700646,51736551,51878466,51988964,52566768,52679126,52736936,52912129,53272148,53364433,53922906,54120704,54237206,54482508,54483853,54539979,54694868,54872328,54949180,55298823,55694490,56199682,56256164,56530093,56929548,57080430,57133766,57144066,57247213,57744913,58449793,58474406,58597955,58729729,59078029,59137614,59329053,59407456,59424529,59426458,59427686,59505666,59649188,59723223,60043693,60385153,60435512,60885792,60995580,61057508,61130029,61134518,61197313,61321512,61323446,61731369,61799629,61846540,62077718,62527873,62829686,62903463,63444308,63506893,64011052,64150573,64699526,64787053,64885718,64933180,65061952,65093644,65286879,65295915,65324200,65939016,65976529,66285229,66438411,66592129,66616568,66629751,66833388,66836353,66852755,66874983,67477286,67989951,68028650,68051108,68395729,68496516,68579318,68884964,68986701,69331153,69416039,69648976,69717668,70077613,70106555,70135928,70317546,70474513,70586246,70615655,70629825,70699729,71099075,71257729,71411626,71589073,72026833,72346964,72941773,73001800,73115318,73160583,73194696,73365133,73489725,73588388,73646072,73731793,73863908,74181393,74198029,74215848,74276948,74658433,74709995,74885075,74911693,74943639,75063079,75082646,75102164,75338480,75462529,75623555,76272632,76474964,76502486,76915355,76920844,76968013,77157229,77160164,77385206,77722475,77856529,77919816,78020792,78355098,78359053,78389040,78584593,78902919,79139846,79347428,79381633,79555623,79613075,79685293,80223306,80285260,80437988,80491729,80664515,80864653,80905729,81283371,81312529,81390548,81473233,81615155,81634380,81712129,81751693,81909229,82127025,82344033,82851831,83426468,83457553,83492829,83614976,83805446,84083125,84127866,84168913,84738786,84755790,84818029,84894940,84990392,85017613,85167686,85181953,85279693,85318890,85320164,85600813,85632529,85806711,85821313,85945729,86129828,86218595,86251729,86352086,86372113,86668964,87076672,87238273,87431053,87602160,87659793,87773391,87806029,87910573,88187670,88217293,88292353,88352200,88356898,88409555,88464973,88532966,88551908,88699718,88705453,88866326,89007313,89037879,89120173,89362129,89469229,89553613,89651994,89862090,90187213,90242833,90406176,90556071,90615903,90630913,90697729,90748266,90779629,90843853,91006816,91014529,91074433,91183718,91219153,91370029,91422733,91444360,91464999,91834753,91840646,91896529,91955713,92004518,92126029,92165588,92212753,92298426,92430733,92454673,92512129,92558029,92581393,92586253,92602129,92984726,92990920,93266970,93442304,93498068,93584099,93695195,94066848,94399543,94561748,94694564,94709075,95080623,95166863,95535690,95614191,95852896,96237368,96342312,96694166,96797418,97098488,97344164,97909448,97938186,97961256,98552430,99072326,99165770,99360155,99396225,99484768,99798743,...,7207551649600264408802969532920499702619542918678494043507367416417176795552218132582266916944689703055430014065502998773807179809883096427069689406202535382444861673202591203867190204274561580719747254251794052640717046709781768960058578105489527079490953297373366267328163881341233597314384280003699341875622968567814675060129763296837929348482761070392830879930333141035044877128083062033110459527189244216297369691532496540441720601163985717560603448402127492526528911190641309546774959558071539207649251852501087776848796229802807040460522184602369959236982633660165335138259007199204729230352862858264305383218700149496310744970864017358969307761226924089939298136255536634586945519701566673836358591382889073176784769323910547967622767306549733189292685875650940068285132694589150224184394071316182522741446760214552509376021506500958779440912570159129869748623790969273618518308876895880714046591109394906462678645616695813969288900167295348468093768441946201449843784432279937716072561218178677457229629321981526811314743259484626022380396571387557649300593959545617378221655703576949696399468210231267413943006052588805242121181414223856314283442830287404672093875700822740405349216617922982426618149393831888337745891357701285179984095667498464379260222105732057485881147257508610601659492241778751078683016544746179685297254783160463894580960157058050314256255696709560211868516780138769823566253806719817143075322605348434770358392634850803147723273236727911796950948092223964879175587217407579151018264187023211327579513740093497572950441374178414146864242444216962941868125459514229537916509240026989717322102192018056938936870948233932368663255762788635624859881624457981387898149705948944060046726734679055697579901727910268148656258846038016662799767075805177579429698845897104782124432516995105817836704558234260976197828716540386835910538205781604065206620307559731176491142662101892092487970770910032570391745452882106458064269225091959851124695845940503613246921450379224156180407431739974763601859024243698036823179228071301102466772391302849256031508758055746692834630789174016089740010712125402112575926499392405167280528258432753554715621064592880390584562071343818583409375152914454197364182119757951469758637002175188372950671941091922261958596956914140055079170123308194468064851690900840364240545654126717005929576671887154430073257402975148795764763566332485079362750037485406193770844896962539231921628568475280116961640047466169589033703522222425400603096053873133093321205846095640525591089662507447156832198461642957697141978324558098433758888513419459134229029045974028425374237517928282329580135019122388703109810904880177141152729597255331777390053131560316609064233725284541441043277667183066915426757771529631566511474185324098168874747982909249657426853809245709676251221894986860528832679670341628132029799837748684671574951457614455645624837422120826143853596758397904372971870822839997702336876736912961109391041595797186780061084881523972181881146904270923459442124589499968543512043132452160186154908518340324539876}
19247  15691158092981925379995149602250731161494625990932224034449101645683148: {403977,480925,577110,615584,692532,750009,1057705,1269246,1786809,1884638,2131977,2210185,2652222,2692340,2785885,2977705,3230808,3343062,3510489,3573246,3593953,3634659,3846200,3899833,4326975,4615440,4860889,4923136,5112254,5192370,5538528,5552557,5571190,5658985,5744089,5850205,5914569,6127033,6205153,6230844,6496022,6685428,6790782,7020246,7303220,7509937,7569385,7921753,8335838,8763864,8989977,9083262,9148244,9330609,9491222,9666205,9720766,9856585,9859347,10993268,11030529,11103958,11130217,11183689,11316790,11599446,11827902,11908340,12373172,13068920,13215709,13531273,13580148,13867454,14290008,14702535,15327217,15387889,15425049,15549385,15596084,15682704,15900310,16062068,16076259,16494685,16647433,16984292,17128633,17643042,17675960,17687449,18089569,18193705,18603992,18659262,18780609,18970009,18980468,19080372,19330390,19793622,19885455,20077705,20421313,20581213,20929491,21211152,21769885,21826657,21832446,22145485,22280120,22296337,22365046,22896205,22971572,23196468,23773837,23862546,24093246,24743768,24815444,24957385,25065135,25518685,25756977,25842793,25993478,26123862,26233935,26574582,26736144,26826985,26885689,27403977,27475446,27836739,27982864,28088749,28467572,28742648,28960333,29520937,29932606,29948862,30078162,30211657,30622422,30651238,31077123,31230875,31283593,31297705,31345022,31480722,31484809,31788673,31851910,32120792,32192382,32335479,32364049,32949433,33138975,33324457,33784369,33888733,33937977,33965048,34197889,35029753,35038153,35190685,35348240,35431213,36114985,36135891,36175366,36540169,36850089,36869726,36996575,37133540,37292353,37477050,37557246,37566877,38210679,38222292,38329935,38460369,38716297,38860297,38872993,38874968,39169172,39766770,39975520,40349918,40385577,40667960,40885264,41272585,41664729,41671993,41940038,42190285,42228822,42375284,42417888,43159510,43337982,43576977,43734339,43847449,44395890,44406584,44560248,44847489,44972460,45297649,45412390,45630875,45751455,45995922,46144819,46244998,46638889,46763785,46883252,47355616,47465473,47534806,47720124,47970624,48013287,48323577,48332173,48704955,48753757,48801552,48950185,48975793,49527102,49957407,50130279,50278153,50586205,50628342,50905837,51460977,51791412,51951952,51981524,52008382,52574833,52581385,52852250,52881073,53077993,53274790,53275068,53305705,53653633,53656323,53767069,53787373,53886855,53966952,54012649,54266169,54494868,54757050,54871513,54888889,54901746,55514710,55817049,55955960,56091092,56116542,56435889,56929208,57158675,57479312,57554029,57642740,57696639,57768073,57914614,57972193,57979209,58289497,58407520,58445946,58740222,58907062,59774228,59914340,60143137,60536120,60703446,60712821,60743577,60942854,61049649,61230985,61368937,62460397,62683508,62950455,62965453,63097662,63422700,63876575,63929748,63966846,64045359,64381873,64426006,64440313,64664226,64938867,64986205,65008929,65298932,65555254,65708460,65921170,65970553,66240529,66522009,66590185,66617652,66738553,66763892,67147152,67650880,68103135,68179839,68242849,68268193,68368585,68590410,68686475,68982068,69085273,69171288,69562198,70058593,70089024,70320205,70996273,71028849,71161935,71233033,71897208,72511513,72643344,72719972,73072702,73163104,73477182,73731764,73831078,73970893,73979149,74006409,74259320,74366593,74561485,74912006,75540546,75544390,75585313,75803929,75808813,75906064,76107240,76174153,76192088,76244475,76321885,76651890,76709523,76907449,77308175,77550969,77817699,77956957,77983446,78850152,79018689,79105404,79305385,79340888,79630964,79908222,80013815,80814422,80884359,80983393,81028513,81166475,81181056,81327440,81355809,81367055,81655250,81723762,81762016,81951313,82042302,82269913,82308492,82397149,82423770,82506358,82893037,83270710,83541735,83871284,84207697,84299523,84384246,84478609,84961177,85063885,85394322,85620645,85670767,85700649,85716099,86106205,86632166,87049172,87061220,87147085,87344113,87669910,87711609,87918688,88584548,88706421,88836166,88839668,89111184,89139687,89141529,89166644,89258499,89473782,89558689,89654006,90433705,90653268,90770713,90970873,91154017,91252250,91328688,91493370,91578289,91586262,91701777,91982268,91985169,91985485,92057590,92263993,92270089,92329885,92475913,92769810,92788993,92846185,93116577,93216193,93756728,93877705,94173100,94244529,94901078,95166462,95340790,95593705,95610889,96016578,96151055,96450205,96654214,96681037,96899449,97049289,97328577,97399126,97399770,97456129,97525990,97547444,97592928,97640466,97986300,98830633,98908524,98954464,99184285,99344353,99924852,99925213,...,10811327474400396613204454299380749553929314378017741065261051124625765193328327198873400375417034554583145021098254498160710769714824644640604534109303803073667292509803886805800785306411842371079620881377691078961075570064672653440087867158234290619236429946060049400992245822011850395971576420005549012813434452851722012590194644945256894022724141605589246319895499711552567315692124593049665689290783866324446054537298744810662580901745978576340905172603191238789793366785961964320162439337107308811473877778751631665273194344704210560690783276903554938855473950490248002707388510798807093845529294287396458074828050224244466117456296026038453961641840386134908947204383304951880418279552350010754537887074333609765177153985865821951434150959824599783939028813476410102427699041883725336276591106974273784112170140321828764064032259751438169161368855238694804622935686453910427777463315343821071069886664092359694017968425043720953933350250943022702140652662919302174765676648419906574108841827268016185844443982972290216972114889226939033570594857081336473950890939318426067332483555365424544599202315346901120914509078883207863181772121335784471425164245431107008140813551234110608023824926884473639927224090747832506618837036551927769976143501247696568890333158598086228821720886262915902489238362668126618024524817119269527945882174740695841871440235587075471384383545064340317802775170208154735349380710079725714612983908022652155537588952276204721584909855091867695426422138335947318763380826111368726527396280534816991369270610140246359425662061267621220296363666325444412802188189271344306874763860040484575983153288027085408405306422350898552994883644182953437289822436686972081847224558923416090070090102018583546369852591865402222984388269057024994199650613707766369144548268845657173186648775492658726755056837351391464296743074810580253865807308672406097809930461339596764736713993152838138731956156365048855587618179323159687096403837637939776687043768910755419870382175568836234270611147609962145402788536365547055234768842106951653700158586954273884047263137083620039251946183761024134610016068188103168863889749088607750920792387649130332073431596889320585876843107015727875114062729371681296046273179636927204637955503262782559426007911637883392937895435371210082618755184962291702097277536351260546360818481190075508894365007830731645109886104462723193647145349498727619044125056228109290656267345443808847882442852712920175442460071199254383550555283333638100904644080809699639981808769143460788386634493761170735248297692464436545712967486837147650638332770129188701343543568961042638061356276892423494370202528683583054664716357320265711729094395882997666085079697340474913596350587926812161564916500774600373140136657294447349767211277986147253312121974363874486140280713868564514376832842480290793249019505512442198044699756623027007362427186421683468437256133181239215780395137596856559457806234259996553505315105369441664086562393695780170091627322285958272821720356406385189163186884249952815268064698678240279232362777510486809814}
19248  15753236641515152935935098318273595510319789297746713783743462386732318: {211607,326927,538636,557351,710807,769480,787487,865665,923376,1000012,1038798,1285127,1692328,1903869,2048087,2086151,2382412,2428367,2826957,2842636,3181058,3186527,3365425,3409946,3413351,3536296,3753047,3978333,4016807,4038510,4095746,4307744,4457416,4543151,4680652,4764328,4807750,4846212,5014593,5105351,5359869,5769300,6153920,6261527,6372386,6373007,6595751,6599258,6923160,7151351,7336151,7384704,7668381,7705151,7788555,7886092,8307792,8356785,8660807,8860058,8913904,9054376,9129025,9209687,9346266,9355751,9360328,9744033,10028142,10186173,10229447,10410887,10530369,10628351,10773167,10954007,10954830,11435305,11685152,11747327,11986636,12111016,12286007,12440812,12503757,13115906,13144151,13145796,13464767,13624893,13722366,13741585,14236833,14528807,14581149,14705447,14707372,14885425,14917151,15128567,15465928,15466465,15770536,16111367,16181327,16278493,16336150,16489902,16635287,16655937,16659458,16844351,16879706,16975185,17157407,17226887,17331047,17399169,17741853,17862510,18092687,18106864,18196247,18559758,18575351,18781727,18855458,19053344,19090751,19495105,19603380,20077585,20252327,20370222,20456351,20566732,20801181,20829647,20910272,21168167,21230365,21435012,21438407,21650797,21674447,22094950,22648151,22948967,23149151,23182487,23254990,23394126,23524056,23648351,23725585,23781167,23850465,24093102,24282458,24443327,24485006,24497666,24879016,25040812,25135151,25149817,25440496,25476438,25954151,26391496,26410607,26464563,26513940,26605751,26800607,27495458,27706127,27850150,27899351,27905988,27988893,28105693,28281536,28470702,28573367,28620558,28714465,28995585,29109928,29307527,29339351,29690433,29719417,29784047,29974151,30222049,30763151,30928624,30929710,31019305,31045967,31816728,31890527,32124328,32139647,32357207,32512367,32748669,32791151,33069287,33420180,33439127,33547569,33715751,34015597,34342636,34457358,34754927,34794702,34831816,34978580,35089151,35432776,35584465,35648192,35697626,35713249,35724527,35774606,35793819,35845151,35928310,36139869,36176207,36476327,36538636,36626087,36633928,36940058,37115652,37223166,37609487,37816967,38053607,38495927,38525351,38855761,38990217,39141407,39185793,39666647,39818906,39861873,39931816,40023458,40102367,40104216,40150990,40680527,40829896,40968407,41213169,41436164,41974296,42456310,42565751,42678887,42701358,42872066,42923176,43113972,43158287,43523327,44156893,44185300,44499407,44898909,44923293,44942351,45080351,45117243,45250636,45291266,45457958,45602927,45933633,45976857,46013447,46068047,46293146,46416925,46558007,46692217,46892546,47017533,47126351,47221083,47234207,47530151,47777865,48181188,48288573,48593710,48730751,48961465,48995351,49133452,49548407,49813057,49969400,50076328,50176151,50264666,50294398,50332367,50540207,50834950,50947572,50963056,51106580,51109127,51145006,51186407,51237887,51248546,51280492,52082687,52969105,52994351,53022360,53205506,53220647,53371151,53396207,53521367,53746151,53847436,54263049,54589487,54638807,55105751,55252607,55304589,55325927,55508230,55552972,55700310,56103527,56215575,56305096,56335869,56417087,56557184,57076226,57333438,57492047,57651866,57783976,58102636,58312452,58604065,58608386,58667447,58753758,58946567,59194520,59247647,59413664,59650155,59731151,59796652,59963280,60051527,60074351,60188351,60437806,60524877,60868151,61001940,61070687,61227767,61327896,61540751,62095751,62228207,62404367,62733287,62910057,63343233,63385727,63536927,63562926,63626832,63960832,64017716,64244447,64431436,64739265,64880087,64939940,64976905,65006973,65068736,65299847,65550167,65861447,66036136,66170927,66316058,66417806,66437687,66539927,66593835,66609876,66668077,66840372,66865751,67290287,67458690,67504456,67591367,67950287,68118585,68286887,68614636,68660351,68953151,68993883,69055216,69224807,69340751,69360047,69367497,69423277,69514127,69935207,69944950,70113865,70170146,70324878,70897058,70933727,71033424,71161510,71230751,71302209,71541764,71580186,71621666,71709047,71849140,71955936,72053425,72145751,72354892,72659824,72756527,72884186,73009400,73023047,73202328,73375607,73602458,73759727,74290653,74328647,74422732,74717785,74822056,74838287,74892925,74922527,74939351,75123887,75190751,75247852,75388058,75670150,75770351,75835967,75942513,76080887,76178351,76836647,76884287,76928852,76982786,77305612,77309807,77605751,77687118,77837351,77927928,77929487,77972286,78012573,78051887,78204167,78215066,78320296,78354385,78370751,78385847,78506327,78611327,79017598,79042151,79278375,79349927,79538687,79614746,79697351,79912185,79912602,80125151,80209847,80350367,80890751,80937928,80950428,80972807,80991436,81217247,81351386,81365351,81399532,81524258,81623665,81742302,81764351,81817007,81961151,82037137,82135575,82352619,82400567,82540751,82558466,82805687,83178047,83272065,83337167,83454865,83519087,83699207,83830151,83933940,83948351,84077447,84124151,84130216,84136638,84174813,84286607,84395558,84424607,84563600,84595487,84798167,84951458,84965087,85031351,85042367,85239664,85289128,85393812,85455047,85519151,85561727,85582967,85720247,86218968,86227585,86396351,86464110,86505647,86585156,86633567,86678572,86779487,86798807,86871921,86923607,87252887,87262151,87317567,87454847,87611280,87668919,87750527,87934151,88110333,88181927,88232351,88307447,88315751,88357151,88360593,88488287,88696012,88799351,88823536,88915751,89135687,89143151,89154458,89320706,89529536,89576351,89661342,89714351,89741567,89775407,89815751,89871510,90013151,90259007,90265151,90350327,90481007,90533351,90567887,90652967,90785351,90804180,90810458,90844487,90897407,90899965,90906452,91055169,91091207,91096151,91282727,91414281,91439807,91444151,91453880,91533527,91566647,91591151,91655087,91666847,91732127,91747151,91802351,91852247,91876607,91973351,91976567,92020751,92164705,92228384,92233247,92311127,92356151,92384207,92403287,92425127,92430407,92449151,92473151,92474687,92503727,92528351,92541287,92560367,92567087,92569847,92579351,92584127,92586407,92594807,92596727,92600351,92615426,92616047,92620007,92621351,92824150,93452032,93593857,94025262,94646493,94705132,94726106,94882580,95134050,95240110,95531426,95862944,95894622,95950269,96639009,96857792,96996339,97948398,97969576,98084258,98149177,98332881,98562690,98675212,98861917,98881755,99176110,99538705,99809149,99926478,...,16216991211600594919806681449071124330893971567026611597891576686938647789992490798310100563125551831874717531647381747241066154572236966960906801163955704610500938764705830208701177959617763556619431322066536618441613355097008980160131800737351435928854644919090074101488368733017775593957364630008323519220151679277583018885291967417885341034086212408383869479843249567328850973538186889574498533936175799486669081805948117215993871352618967864511357758904786858184690050178942946480243659005660963217210816668127447497909791517056315841036174915355332408283210925735372004061082766198210640768293941431094687112242075336366699176184444039057680942462760579202363420806574957427820627419328525016131806830611500414647765730978798732927151226439736899675908543220214615153641548562825588004414886660461410676168255210482743146096048389627157253742053282858042206934403529680865641666194973015731606604829996138539541026952637565581430900025376414534053210978994378953262148514972629859861163262740902024278766665974458435325458172333840408550355892285622004710926336408977639100998725333048136816898803473020351681371763618324811794772658182003676707137746368146660512211220326851165912035737390326710459890836136121748759928255554827891654964215251871544853335499737897129343232581329394373853733857544002189927036787225678904291918823262111043762807160353380613207076575317596510476704162755312232103024071065119588571919475862033978233306383428414307082377364782637801543139633207503920978145071239167053089791094420802225487053905915210369539138493091901431830444545499488166619203282283907016460312145790060726863974729932040628112607959633526347829492325466274430155934733655030458122770836838385124135105135153027875319554778887798103334476582403585537491299475920561649553716822403268485759779973163238988090132585256027087196445114612215870380798710963008609146714895692009395147105070989729257208097934234547573283381427268984739530644605756456909665030565653366133129805573263353254351405916721414943218104182804548320582852153263160427480550237880431410826070894705625430058877919275641536201915024102282154753295834623632911626381188581473695498110147395333980878815264660523591812671094094057521944069409769455390806956933254894173839139011867456825089406843153056815123928132777443437553145916304526890819541227721785113263341547511746097467664829156694084790470718024248091428566187584342163935984401018165713271823664279069380263163690106798881575325832925000457151356966121214549459972713153715191182579951740641756102872446538696654818569451230255721475957499155193783052015315353441563957092034415338635241555303793025374581997074535980398567593641593824496499127619546010712370394525881890218242347374751161900559710204985941671024650816916979220879968182961545811729210421070802846771565249263720436189873529258268663297067049634934540511043640779632525202655884199771858823670592706395284839186709351389994830257972658054162496129843590543670255137440983428937409232580534609577783744780326374929222902097048017360418848544166265730214721}
19249  15815559031975872527914051531870581181640512771294816213826205126007718: {19249,673295,807954,961850,1154220,1231168,1250015,1385064,1480787,1500018,1558197,2115410,2538492,2978015,3094259,3553295,3573618,3769276,3900239,4016771,4168787,4247399,4263954,4420370,4771587,5114919,5304444,5384680,5571770,5744687,5850815,5955410,6057765,6143619,6205799,6461616,6549587,6686124,6935171,7020978,7146492,7187906,7211625,7241039,7269318,7692400,7799666,7922579,8190287,8393459,8653950,9230880,9558579,9721778,9846272,9857615,9898887,10224508,10384740,10597139,11077056,11105114,11142380,11317970,11488178,11700410,11829138,12254066,12410306,12461688,12992044,13217087,13290087,13370856,13532687,13581564,13799219,14019399,14040492,14606440,14983295,15019874,15042213,15138770,15551015,15843506,16432245,16671676,17130419,17527728,17979954,18166524,18185687,18296488,18384215,18661218,18971987,18982444,19332410,19441532,19673859,19674239,19713170,19718694,20423447,20583359,20583549,21769139,21986536,22000607,22061058,22207916,22260434,22367378,22633580,23092559,23198892,23655804,23816680,24134279,24394499,24504225,24734853,24746344,24989187,25319559,25471187,25708415,26137840,26431418,26570759,26793765,27062546,27160296,27734908,27839637,28108787,28283187,28580016,29405070,30477839,30555333,30654434,30775778,30850098,31003679,31098770,31192168,31301015,31365408,31703507,31800620,32054687,32124136,32152518,32367431,32952887,32989370,33142425,33294866,33968584,34257266,34882485,34940339,35091189,35286084,35351920,35374898,35432387,35726159,36139653,36179138,36225887,36387410,36423687,36727509,36746499,36971519,37207984,37318524,37557779,37561218,37940018,37960936,38160744,38214657,38660780,38940239,39587244,39599591,39770910,40155410,40415687,40842626,41162426,41243187,41398799,41775225,41858982,42422304,42706053,42928295,42930837,43539770,43653314,43664892,43723225,43816787,43852031,44290970,44560240,44592674,44730092,45673295,45792410,45943144,46392936,46394565,46871411,47547674,47725092,47883671,48186492,48980927,49248719,49266959,49487536,49630888,49914770,50130270,50283407,50560979,51037370,51513954,51685586,51686037,51694439,51795205,51986956,52192053,52247724,52467870,52580327,52840199,53149164,53472288,53546439,53653970,53661909,53771378,53892465,54018311,54737651,54807954,54877247,54950892,55118687,55139459,55231625,55410087,55673478,55834749,55965728,56095559,56177498,56563295,56894759,56935144,57485296,57496847,57781619,57920666,58619927,59041874,59066399,59728359,59865212,59897724,60035187,60156324,60226485,60423314,61021139,61244844,61302476,61416815,62154246,62461750,62567186,62595410,62690044,62961444,62969618,63408839,63577346,63684465,63703820,63883225,64052037,64100615,64241584,64308099,64384764,64670958,64728098,64792451,64868687,65469299,65898866,66277950,66648914,67309295,67568738,67777466,67875954,67930096,67936899,68186937,68271359,68395778,68530259,68858159,69439719,69441215,69808679,70059506,70076306,70338819,70381370,70696480,70820687,70862426,71956211,72063119,72229970,72271782,72350732,72628295,72890565,73080338,73613939,73700178,73739452,73993150,74267080,74584706,74627987,74745815,74954100,75114492,75133754,75396999,75441597,76252425,76421358,76444584,76659870,76717509,76872819,76915511,76920738,77432594,77512307,77720594,77745986,77749936,77965199,78147527,78338344,78623171,79533540,79808259,79951040,80022145,80539295,80699836,80771154,81037007,81174925,81335920,81770528,82211411,82545170,82673351,82796519,83262345,83329458,83343986,83503151,83550465,83880076,84380570,84457644,84750568,84835776,85614339,85723379,85768295,86000157,86319020,86477799,86675964,87153954,87468678,87694898,87912579,88079711,88130637,88791780,88813168,89120496,89427205,89694978,89811425,89944920,90023999,90443615,90510851,90595298,90656709,90824780,90980687,91261750,91502910,91991844,92289638,92485607,92489996,92645159,93028415,93226259,93277778,93527570,93766504,94059815,94711232,94930946,95069612,95344389,95440248,95716019,95941248,96026574,96161065,96632015,96647154,96664346,97228079,97409910,97507514,97603104,97619891,97900370,97951586,98092439,98448287,98627027,99054204,99354767,99474087,99626709,99914814,...,21622654948800793226408908598761499107858628756035482130522102249251530386656654397746800750834069109166290042196508996321421539429649289281209068218607606147334585019607773611601570612823684742159241762755382157922151140129345306880175734316468581238472859892120098801984491644023700791943152840011098025626868905703444025180389289890513788045448283211178492639790999423105134631384249186099331378581567732648892109074597489621325161803491957152681810345206382477579586733571923928640324878674214617622947755557503263330546388689408421121381566553807109877710947900980496005414777021597614187691058588574792916149656100448488932234912592052076907923283680772269817894408766609903760836559104700021509075774148667219530354307971731643902868301919649199567878057626952820204855398083767450672553182213948547568224340280643657528128064519502876338322737710477389609245871372907820855554926630687642142139773328184719388035936850087441907866700501886045404281305325838604349531353296839813148217683654536032371688887965944580433944229778453878067141189714162672947901781878636852134664967110730849089198404630693802241829018157766415726363544242671568942850328490862214016281627102468221216047649853768947279854448181495665013237674073103855539952287002495393137780666317196172457643441772525831804978476725336253236049049634238539055891764349481391683742880471174150942768767090128680635605550340416309470698761420159451429225967816045304311075177904552409443169819710183735390852844276671894637526761652222737453054792561069633982738541220280492718851324122535242440592727332650888825604376378542688613749527720080969151966306576054170816810612844701797105989767288365906874579644873373944163694449117846832180140180204037167092739705183730804445968776538114049988399301227415532738289096537691314346373297550985317453510113674702782928593486149621160507731614617344812195619860922679193529473427986305676277463912312730097711175236358646319374192807675275879553374087537821510839740764351137672468541222295219924290805577072731094110469537684213903307400317173908547768094526274167240078503892367522048269220032136376206337727779498177215501841584775298260664146863193778641171753686214031455750228125458743362592092546359273854409275911006525565118852015823275766785875790870742420165237510369924583404194555072702521092721636962380151017788730015661463290219772208925446387294290698997455238088250112456218581312534690887617695764885705425840350884920142398508767101110566667276201809288161619399279963617538286921576773268987522341470496595384928873091425934973674295301276665540258377402687087137922085276122712553784846988740405057367166109329432714640531423458188791765995332170159394680949827192701175853624323129833001549200746280273314588894699534422555972294506624243948727748972280561427737129028753665684960581586498039011024884396089399513246054014724854372843366936874512266362478431560790275193713118915612468519993107010630210738883328173124787391560340183254644571916545643440712812770378326373768499905630536129397356480558464725555020973619628}
19250  15878126215302482490735741112327092201478291674799338618998178612728506: {250081,365389,423214,595789,653854,710881,825901,1077272,1114702,1211931,1285261,1421614,1442775,1538960,1574974,1731330,1846752,2000024,2077596,2086369,2250027,2570254,3111181,3173115,3384656,3451489,3791149,3807738,4096174,4172302,4581169,4711595,4764824,4856734,5143309,5255521,5360427,5653914,5685272,6262189,6362116,6373054,6373681,6395931,6630555,6730850,6819892,6826702,7072592,7506094,7956666,8033614,8077020,8191492,8357655,8588401,8615488,8698381,8914832,8933115,9086302,9361304,9528656,9615500,9692424,10029186,10210702,10531467,10665709,10719738,10781859,10903977,11424481,11538600,11699499,12307840,12523054,12744772,12746014,12780635,12980925,13145569,13191502,13198516,13466221,13572961,13846320,13927975,13999201,14211889,14302702,14582667,14672302,14769408,14954029,15165421,15336762,15410302,15577110,15692641,15772184,16009427,16218061,16240055,16615584,16657671,16713570,16976955,17159281,17232267,17321614,17550615,17720116,17743707,17827808,18108752,18198241,18258050,18381099,18419374,18611809,18615459,18692532,18711502,18720656,18818161,18921229,19127149,19238219,19435489,19488066,20056284,20254561,20356621,20372346,20458609,20458894,20821774,20839595,20865841,21060738,21256702,21546334,21653051,21676849,21908014,21909660,22282081,22529811,22708155,22870610,22984909,23185069,23370304,23494654,23684209,23728055,23765259,23783821,23973272,24222032,24301915,24572014,24881624,24973549,25007514,25367821,25957069,26231812,26288302,26291592,26446129,26929534,26969931,27249786,27293147,27321901,27444732,27483170,27709261,27759895,27991827,28108619,28291975,28473666,28672621,28998615,29057614,29162298,29342689,29410894,29414744,29569755,29578041,29722511,29770850,29819149,29834302,30257134,30483169,30672241,30766669,30931856,30932930,31143661,31425649,31541072,31894189,32222734,32360929,32362654,32454061,32547121,32556986,32672300,32979804,33091587,33215819,33270574,33311874,33318916,33390651,33473761,33551067,33688702,33750349,33759412,33950370,34314814,34393201,34453774,34662094,34667629,34668635,34798338,35483706,35716967,35725020,35758861,36185374,36210481,36213728,36392494,36660301,37119516,37150702,37554541,37563454,37710916,37821409,38087629,38106688,38181502,38529889,38794381,38990210,39206760,39517027,39647127,39671341,39750775,40020109,40155170,40200251,40504654,40593819,40740444,40912702,41133464,41602362,41659294,41820544,41917741,42173809,42206567,42336334,42460730,42599149,42684001,42870024,42876814,43191601,43301594,43348894,43427027,43528561,43948141,44107605,44189900,44365921,44449261,44532529,45113389,45296302,45897934,45981651,46019041,46100941,46163667,46275147,46298302,46364974,46509361,46509980,46648155,46788252,47048112,47239981,47296702,47451170,47562334,47643361,47700930,48186204,48228777,48325975,48564916,48763249,48886654,48970012,48995332,49001389,49484055,49554529,49633261,49758032,49818251,49942299,50081624,50182369,50270302,50299634,50880992,50883181,50952876,51115489,51192781,51385899,51578161,51908302,52114669,52185419,52782992,52799281,52821214,52929126,53026189,53027880,53062347,53177101,53211502,53402929,53553121,53601214,53777869,54268707,54299761,54581115,54670381,54990916,55181711,55259629,55332961,55412254,55700300,55798702,55811976,55912615,55977786,55989709,56134861,56211386,56341827,56424301,56563072,56712589,56856301,56910027,56941404,57146734,57241116,57428269,57428930,57641569,57991170,57995629,58219856,58615054,58678702,58977421,59380866,59438834,59568094,59601121,59656365,59738929,59948302,60082189,60218989,60233115,60355501,60444098,61263939,61526302,61571149,61638001,61743639,61857248,61859420,62038610,62091934,62236429,62434609,62763469,62788473,62959921,63415789,63633456,63781054,64248656,64279294,64571821,64714414,64951981,64983695,65024734,65309655,65479971,65497338,65579821,65582302,66138574,66200461,66436455,66508081,66569389,66840360,66878254,66889011,67057261,67095138,67359841,67431502,67600609,67959601,68031194,68546051,68685272,68688615,68914716,69253729,69369649,69485281,69509854,69589404,69658189,69663632,69944929,69957160,70178302,70343341,70399969,70850401,70865552,70962289,71168930,71240749,71296384,71321511,71395252,71426498,71449054,71549212,71587638,71690302,71856620,71956321,72174049,72228301,72279738,72352414,72766861,72873709,72952654,73077272,73252174,73267856,73880116,74156747,74231304,74339341,74446332,74831515,74872155,74950189,75151501,75195405,75218974,75633934,75797809,75847021,76092001,76107214,76140781,76189489,76286689,76556055,76624621,76628095,76863841,76911469,76991854,77050702,77101261,77270931,77524081,77528379,77711522,77980434,78282814,78306829,78362555,78371586,78397549,78533089,78701805,78935821,79157041,79333294,79629775,79637812,79723746,79863632,79981261,80023921,80046916,80066509,80151469,80204734,80208432,80301980,80480955,80571949,80657067,81026161,81229741,81361054,81391309,81431521,81659792,81869101,81936814,81986929,82045691,82211931,82220641,82375009,82413421,82426338,82566349,82680289,82872328,83055409,83166541,83203441,83510217,83712481,83855329,83926321,83948592,84102541,84137569,84266247,84276961,84449581,84620401,84823009,84889969,84912620,85056109,85131502,85253101,85357774,85402716,85479649,85543729,85734241,85744132,85846352,85953229,86227944,86316574,86647921,86793901,86822881,86880999,86966701,87046654,87221041,87276769,87738829,87765361,88154701,88313786,88330849,88370600,88380529,88429921,88562811,88931149,88998814,89023021,89136241,89158669,89550061,89777761,89797818,89838349,89846586,89878381,89884702,89977201,90035629,90160702,90169441,90234486,90281329,90318049,90438415,90501272,90514861,90549709,90582532,90584269,90634971,90785581,90866401,90914029,90915916,90967667,91112929,91186189,91205854,91285729,91421809,91435021,91461229,91512781,91587949,91636621,91819789,91852081,91867266,91953714,91994209,92026894,92104801,92136094,92156209,92174315,92258701,92355469,92374369,92415949,92421601,92443489,92493169,92519521,92523661,92546989,92561101,92564449,92585869,92586292,92599009,92603761,92606029,92614381,92627629,92640049,92640589,92833850,93116014,93231369,93384434,93692625,93785092,93850779,93893115,94035066,94252702,94442166,94454427,94468414,95060302,95366019,95555730,96362376,96577146,97006437,97092147,97187420,97461502,97922930,97990702,98159411,98266904,98848299,99096814,99416925,99626114,99938800,99973371,...,32433982423201189839613362898142248661787943134053223195783153373877295579984981596620201126251103663749435063294763494482132309144473933921813602327911409221001877529411660417402355919235527113238862644133073236883226710194017960320263601474702871857709289838180148202976737466035551187914729260016647038440303358555166037770583934835770682068172424816767738959686499134657701947076373779148997067872351598973338163611896234431987742705237935729022715517809573716369380100357885892960487318011321926434421633336254894995819583034112631682072349830710664816566421851470744008122165532396421281536587882862189374224484150672733398352368888078115361884925521158404726841613149914855641254838657050032263613661223000829295531461957597465854302452879473799351817086440429230307283097125651176008829773320922821352336510420965486292192096779254314507484106565716084413868807059361731283332389946031463213209659992277079082053905275131162861800050752829068106421957988757906524297029945259719722326525481804048557533331948916870650916344667680817100711784571244009421852672817955278201997450666096273633797606946040703362743527236649623589545316364007353414275492736293321024422440653702331824071474780653420919781672272243497519856511109655783309928430503743089706670999475794258686465162658788747707467715088004379854073574451357808583837646524222087525614320706761226414153150635193020953408325510624464206048142130239177143838951724067956466612766856828614164754729565275603086279266415007841956290142478334106179582188841604450974107811830420739078276986183802863660889090998976333238406564567814032920624291580121453727949459864081256225215919267052695658984650932548860311869467310060916245541673676770248270210270306055750639109557775596206668953164807171074982598951841123299107433644806536971519559946326477976180265170512054174392890229224431740761597421926017218293429791384018790294210141979458514416195868469095146566762854537969479061289211512913819330061131306732266259611146526706508702811833442829886436208365609096641165704306526320854961100475760862821652141789411250860117755838551283072403830048204564309506591669247265823252762377162947390996220294790667961757630529321047183625342188188115043888138819538910781613913866509788347678278023734913650178813686306113630247856265554886875106291832609053781639082455443570226526683095023492194935329658313388169580941436048496182857132375168684327871968802036331426543647328558138760526327380213597763150651665850000914302713932242429098919945426307430382365159903481283512205744893077393309637138902460511442951914998310387566104030630706883127914184068830677270483110607586050749163994149071960797135187283187648992998255239092021424740789051763780436484694749502323801119420409971883342049301633833958441759936365923091623458420842141605693543130498527440872379747058516537326594134099269869081022087281559265050405311768399543717647341185412790569678373418702779989660515945316108324992259687181087340510274881966857874818465161069219155567489560652749858445804194096034720837697088332531460429442}
19251  15940939146115269319171764787315992678793796716265524499640742246516041: {38498,634821,942613,980781,1346590,1615908,1672053,1750021,1923700,2132421,2308440,2362461,2462336,2500030,2596995,2770128,2961574,3000036,3116394,3855381,4169221,4230820,4747093,4974613,5076984,5711607,5956030,6128309,6144261,6188518,6258453,6935893,7106590,7147236,7285101,7511501,7538552,7740421,7800478,7952645,8033542,8191141,8337574,8480871,8494798,8524865,8527908,8840740,9543174,9559581,10096275,10229838,10239365,10240053,10608888,10769360,11143540,11259141,11489374,11701630,11910820,11934999,12019375,12050421,12115530,12287238,12411598,12448469,12923232,13099174,13372248,13629453,13800661,13870342,14041956,14292984,14375812,14423250,14482078,14538636,15043779,15316053,15384800,15599332,15845158,15930965,16079607,16380574,16498145,16786918,17282081,17307900,17490341,18461760,18784581,19117158,19119021,19443556,19692544,19715230,19787253,19797774,20449016,20734661,20769480,20976613,21194278,21263429,21454053,21771421,22002901,22008453,22150145,22154112,22210228,22284760,22635940,22806209,22976356,23005143,23115453,23129741,23365665,23400820,23658276,24136801,24508132,24820612,24923376,25070355,25737901,25982421,25984088,26434174,26580174,26741712,27065374,27163128,27387075,27598438,27629061,28038798,28067253,28080984,29212880,29232099,29966590,30039748,30084426,30277540,30558519,30688341,31102030,31232661,31283381,31591107,31687012,31885053,32319501,32787893,32789765,32862021,32864490,33343352,34260838,34305915,35037101,35055456,35241981,35959908,35991781,36333048,36371374,36592976,36731441,36768430,36858021,36927101,37322436,37467781,37511271,37943974,37964888,38664820,38883064,38944321,39177533,39347718,39348478,39426340,39432453,39437388,40394301,40840375,40846894,40874679,41166718,41167098,41224755,41628161,41648645,42199265,42317813,42710499,43538278,43586421,43743447,43821421,43973072,44001214,44116341,44122116,44415832,44520868,44656275,44734756,44751453,45267160,45385701,46067573,46185118,46397784,46399395,46876309,47056781,47138645,47311608,47475461,47633360,48268558,48334101,48543981,48788998,48835479,49008450,49469706,49492688,49905861,49953629,49967811,49978374,50533053,50639118,50925555,50942374,51416830,51472221,51680661,51699841,51993141,52197507,52275680,52862836,53141518,53225559,53587530,54125092,54278061,54320592,54588741,54743389,55145221,55237375,55469816,55679274,55713629,55726053,56005409,56217574,56345181,56566374,56589793,57160032,57272253,58137475,58485315,58602269,58810140,59056693,59847653,60099613,60232755,60706145,60756981,60955678,61066181,61110666,61212515,61244165,61308868,61369053,61551556,61700196,62007358,62197540,62384336,62403543,62488941,62602030,62730816,63407014,63504501,63601240,63691095,63754913,63942613,64109374,64248272,64305036,64315221,64734862,64952391,65023341,65383733,65516389,65905774,65978740,66284850,66589732,67937168,67944453,68514532,68738645,68846901,69447453,69547461,69625375,69764970,69772529,69880678,70182378,70572168,70703840,70749796,70864774,70945053,71176755,71343501,71452318,71551395,72279306,72358276,72451774,72513287,72774820,72847374,73329981,73455018,73492998,73943038,74415968,74591021,74637048,75115558,75122436,75262961,75405453,75449451,75880036,75921872,76321488,76429314,77321560,77324275,77862453,77880478,79174488,79188613,79199182,79231821,79393689,79541820,79817253,80097869,80310820,80401821,80541133,80831374,81685252,82220029,82324852,82414433,82486374,82797598,83098829,83118381,83550450,83629541,83698053,83717964,83966679,84317079,84844608,85412106,85720101,85856590,85861674,85983541,86143395,86229461,86986755,87079540,87306628,87329784,87446450,87633574,87704062,87922581,88018053,88581940,89071299,89120480,89158251,89185348,89244065,89261989,89352141,89436515,89460184,89689813,89740861,89820775,89922453,90666147,91346590,91584820,91597781,91886288,92289453,92350145,92785872,92789130,92918293,93057915,93137901,93742822,94233013,95095348,95450184,95671581,95767342,96372984,96418941,96436901,97071621,97217701,97537101,97961854,98246007,98373453,98497438,98533918,98975072,99204221,99207861,99261776,99547265,99829540,...,48650973634801784759420044347213372992681914701079834793674730060815943369977472394930301689376655495624152594942145241723198463716710900882720403491867113831502816294117490626103533878853290669858293966199609855324840065291026940480395402212054307786563934757270222304465106199053326781872093890024970557660455037832749056655875902253656023102258637225151608439529748701986552920614560668723495601808527398460007245417844351647981614057856903593534073276714360574554070150536828839440730977016982889651632450004382342493729374551168947523108524746065997224849632777206116012183248298594631922304881824293284061336726226009100097528553332117173042827388281737607090262419724872283461882257985575048395420491834501243943297192936396198781453679319210699027725629660643845460924645688476764013244659981384232028504765631448229438288145168881471761226159848574126620803210589042596924998584919047194819814489988415618623080857912696744292700076129243602159632936983136859786445544917889579583489788222706072836299997923375305976374517001521225651067676856866014132779009226932917302996175999144410450696410419061055044115290854974435384317974546011030121413239104439981536633660980553497736107212170980131379672508408365246279784766664483674964892645755614634560006499213691388029697743988183121561201572632006569781110361677036712875756469786333131288421481060141839621229725952789531430112488265936696309072213195358765715758427586101934699919150285242921247132094347913404629418899622511762934435213717501159269373283262406676461161717745631108617415479275704295491333636498464499857609846851721049380936437370182180591924189796121884337823878900579043488476976398823290467804200965091374368312510515155372405315405459083625958664336663394310003429747210756612473898427761684948661150467209805457279339919489716964270397755768081261589335343836647611142396132889025827440144687076028185441315212969187771624293802703642719850144281806954218591933817269370728995091696960098399389416719790059763054217750164244829654312548413644961748556459789481282441650713641294232478212684116876290176633757826924608605745072306846464259887503870898734879143565744421086494330442186001942636445793981570775438013282282172565832208229308366172420870799764682521517417035602370475268220529459170445371784398332330312659437748913580672458623683165355339790024642535238292402994487470082254371412154072744274285698562753026491807953203054497139815470992837208140789491070320396644725977498775001371454070898363643648379918139461145573547739855221925268308617339616089964455708353690767164427872497465581349156045946060324691871276103246015905724665911379076123745991223607941195702780924781473489497382858638032137111183577645670654727042124253485701679130614957825013073952450750937662639904548884637435187631263212408540314695747791161308569620587774805989891201148904803621533130922338897575607967652599315576471011778119185854517560128054169984490773917974162487488389530771631010765412322950286812227697741603828733351234340979124787668706291144052081256545632498797190644163}
19252  16003998782730561048180642152626330647149555063836461638013225212106545: {57747,500162,730778,787651,846428,1191578,1307708,1361851,1421762,1651802,1705507,2019885,2154544,2162707,2229404,2404625,2423862,2504851,2570522,2843228,2885550,3077920,3149948,3300667,3414067,3462660,3693504,3750045,4000048,4155192,4172738,4442361,4500054,4544107,4674591,4769251,5140508,5288525,5554987,6222362,6346230,6596233,6671347,6769312,6902978,7226827,7582298,7615476,8192348,8344604,8442547,8934045,8992267,9162338,9282777,9423190,9430747,9529648,9540187,9713468,9758851,10286618,10511042,10659885,10720854,11050925,11307828,11370544,11700717,12050313,12252787,12506361,12524378,12724232,12742197,12746108,12747362,12791862,13261110,13461700,13639784,13653404,13929425,14145184,14314761,14888525,14920387,15012188,15344757,15448507,15913332,16067228,16154040,16184851,16382984,16708651,16715310,17176802,17230651,17230976,17234061,17396762,17552445,17829664,17866230,17892889,17958427,17969765,18172604,18173295,18430857,18579427,18617397,18722608,19057312,19231000,19300651,19384848,19499165,19648761,20018347,20058372,20120587,20421404,20805513,21037507,21062934,21331418,21439476,21544387,21563718,21634875,21723117,21807954,22736077,22848962,23077200,23398998,23767737,24304445,24349651,24570861,24615680,25046108,25180377,25489544,25492028,25561270,25580489,25961850,26291138,26383004,26397032,26932442,27001267,27145922,27692640,27762785,27776851,27855950,27970027,27998402,28294925,28423778,28605404,28675737,28720445,29165334,29175433,29251025,29344604,29538816,29572845,29696661,29908058,30330842,30360427,30635165,30673524,30820604,31025765,31154220,31385282,31544368,31791417,32018854,32436122,32480110,32984251,33219277,33231168,33315342,33427140,33446851,33953910,34022681,34318562,34464534,34643228,35101230,35440232,35460907,35487414,35551627,35655616,36217504,36396482,36454867,36516100,36762198,36814147,36838748,37223618,37230918,37385064,37423004,37441312,37549685,37636322,37842458,37846925,38254298,38476438,38593267,38863853,38870978,38976132,39121387,39521141,39608765,39651261,39734251,39870261,40112568,40169851,40509122,40598061,40713242,40744692,40776667,40917218,40917788,41035651,41397657,41643548,41679190,41731682,42058197,42121476,42210961,42513404,42575947,42999667,43092668,43168651,43306102,43353698,43589851,43757827,43816028,43819320,44166089,44564162,44676547,44949885,45059622,45126639,45416310,45741220,45969818,46079251,46324627,46370138,46653045,46701941,46740608,46989308,47368418,47456110,47461147,47530518,47567642,47946544,48331025,48444064,48536089,48603830,48742747,49060267,49144028,49282925,49296735,49763248,49947098,50015028,50735642,51250651,51391257,51914138,52019251,52463624,52576604,52583184,52892258,53007667,53453081,53534851,53859068,53939862,54499572,54504547,54557061,54586294,54643802,54652651,54889464,54966340,55021651,55152645,55418522,55519790,55651085,55918445,55983654,56117851,56217238,56583950,56623867,56915961,56947332,57197851,57345242,57554251,57997230,58115228,58324596,58472467,58685378,58821788,58829488,59021577,59022717,59139510,59156082,59309251,59445022,59541700,59638298,59668604,60135667,60514268,60884107,60966338,61059053,61221427,61270341,61344482,61533338,61673677,61750077,61750647,61863712,61865860,61890667,62023651,62287322,62851298,63082144,63788378,64112227,64445468,64721858,64725308,64908122,65065867,65094242,65113972,65307417,65344600,65442787,65567851,65959608,66001821,66078545,66183174,66188851,66312187,66431638,66541148,66623748,66637832,66781302,66947522,67102134,67228027,67377404,67500698,67518824,67656365,67900740,68305651,68423947,68629628,68718427,68786402,68907548,69277677,69324188,69335258,69337270,69596676,70616851,70967412,71287747,71343187,71433934,71450040,71517722,72166147,72370748,72402837,72420962,72427456,72784988,72812851,73183497,73320602,73512675,74204559,74239032,74301404,74384251,74741587,74967561,75109082,75126908,75395851,75421832,75642818,75644251,75890851,75958677,76175258,76213376,76233067,76363004,76413561,76636085,76763707,76939445,77059778,77125245,77588762,77746925,77891227,77980420,78029251,78277661,78413520,79034054,79065907,79294254,79342682,79501550,79591651,79712277,80040218,80149507,80234251,80310340,80381295,80400502,80444851,80528587,80942947,81009308,81187638,81390427,81480888,81590947,81670651,81789667,81825404,81947347,81986587,82266928,82473425,83204724,83237165,83277907,83318588,83387851,83497147,83518911,83641088,83835482,84326361,84347618,84413134,84451651,84554467,84672668,84849561,84921460,85198298,85368002,85610851,85643165,85674427,85740048,85753628,85769251,85832107,86294347,86324587,86383202,86534251,86603188,86697788,86827651,86854054,87057122,87170227,87475147,87896282,87929251,88215210,88379800,88437245,88731842,88845667,88898522,88961947,89065058,89430667,89473651,89516347,89621827,89684251,90045187,90141307,90226778,90272851,90309787,90447845,90592604,90829267,90968525,90977173,91064707,91079827,91421107,91433517,91486987,91665999,91732507,91789387,91795868,91897747,91963302,92008627,92038082,92074651,92201882,92204251,92220307,92266747,92303467,92317651,92327334,92338387,92443651,92454667,92550294,92560651,92568067,92596604,92614507,92617027,92632651,92651227,92659867,92729948,93011037,93018722,93019960,93296310,93576504,93903045,94096224,94479962,94593404,94850045,94902340,95110521,95124668,95286722,95401860,96164061,96372408,96457554,96651950,97102293,97129832,97526498,97773308,97940024,97990664,98002778,98858661,98968110,99109058,99266522,99427275,99516064,99636502,99884598,...,64867964846402379679226725796284497323575886268106446391566306747754591159969963193240402252502207327498870126589526988964264618288947867843627204655822818442003755058823320834804711838471054226477725288266146473766453420388035920640527202949405743715418579676360296405953474932071102375829458520033294076880606717110332075541167869671541364136344849633535477919372998269315403894152747558297994135744703197946676327223792468863975485410475871458045431035619147432738760200715771785920974636022643852868843266672509789991639166068225263364144699661421329633132843702941488016244331064792842563073175765724378748448968301345466796704737776156230723769851042316809453683226299829711282509677314100064527227322446001658591062923915194931708604905758947598703634172880858460614566194251302352017659546641845642704673020841930972584384193558508629014968213131432168827737614118723462566664779892062926426419319984554158164107810550262325723600101505658136212843915977515813048594059890519439444653050963608097115066663897833741301832689335361634201423569142488018843705345635910556403994901332192547267595213892081406725487054473299247179090632728014706828550985472586642048844881307404663648142949561306841839563344544486995039713022219311566619856861007486179413341998951588517372930325317577495414935430176008759708147148902715617167675293048444175051228641413522452828306301270386041906816651021248928412096284260478354287677903448135912933225533713657228329509459130551206172558532830015683912580284956668212359164377683208901948215623660841478156553972367605727321778181997952666476813129135628065841248583160242907455898919728162512450431838534105391317969301865097720623738934620121832491083347353540496540420540612111501278219115551192413337906329614342149965197903682246598214867289613073943039119892652955952360530341024108348785780458448863481523194843852034436586859582768037580588420283958917028832391736938190293133525709075938958122578423025827638660122262613464532519222293053413017405623666885659772872416731218193282331408613052641709922200951521725643304283578822501720235511677102566144807660096409128619013183338494531646505524754325894781992440589581335923515261058642094367250684376376230087776277639077821563227827733019576695356556047469827300357627372612227260495712531109773750212583665218107563278164910887140453053366190046984389870659316626776339161882872096992365714264750337368655743937604072662853087294657116277521052654760427195526301303331700001828605427864484858197839890852614860764730319806962567024411489786154786619274277804921022885903829996620775132208061261413766255828368137661354540966221215172101498327988298143921594270374566375297985996510478184042849481578103527560872969389499004647602238840819943766684098603267667916883519872731846183246916841684283211387086260997054881744759494117033074653188268198539738162044174563118530100810623536799087435294682370825581139356746837405559979321031890632216649984519374362174681020549763933715749636930322138438311134979121305499716891608388192069441675394176665062920858884}
19253  16067306087174934648630588149619846561668391193900393820587905560384236: {76996,750243,1058035,1096167,1269642,1634635,1787367,1885226,1961562,2132643,2326951,2477703,2693180,2786755,3231816,3344106,3500042,3554035,3635793,3847400,3855783,3937435,4264842,4328325,4616880,4724922,4862407,4924672,5000060,5193990,5540256,5554291,5923148,6000072,6128947,6232788,6259107,6425635,6550951,6750081,7242547,7512283,7710762,8338442,8395207,8461640,9333543,9469051,9494186,9519345,9949226,10153968,10160503,10240435,10354467,10430755,11133703,11373447,11423214,11912060,11934811,12141835,12256618,12288522,12377036,12449767,12516906,12870451,13743507,13871786,14134785,14213180,14294472,14335111,14570202,14711827,15023002,15077104,15429927,15480842,15600956,15766563,15905290,15932635,16067084,16081281,16382282,16652647,16675148,16827125,16961742,16989596,17049730,17055816,17066755,17283883,17681480,18765235,18786567,19086348,19119162,19121043,19187793,19315267,19891665,20084035,20192550,20459676,20478730,20480106,20670403,20736823,21217776,21265651,21538720,21684487,22287080,22303351,22518282,22715755,22808587,22978748,23097403,23403260,23781283,23821640,23869998,23918707,24038750,24100842,24231060,24379051,24574476,24823196,24896938,25072965,25129507,25526755,25727851,25765203,25846464,25850887,26095143,26198348,26744496,26799345,27258906,27601322,27740684,28083912,28585968,28751624,28846500,28964156,29077272,29530183,30087558,30632106,30769600,31010203,31198664,31307635,31560211,31594401,31690316,31861930,31865035,31997127,32159214,32164603,32345577,32711931,32761148,32978755,32996290,33573836,33899347,34208647,34273443,34564162,34615800,34980682,35049127,35098497,35756755,36288307,36680755,36923520,37222051,37569162,37578643,38234316,38238042,38341905,38525755,38728423,38887112,38942775,39181627,39385088,39430460,39436707,39574506,39595548,40026151,40398663,40718883,40898032,41052787,41407483,41469322,41538960,41783925,41819731,41953226,41997603,42388556,42526858,42635667,42908106,43304035,43542842,43658803,43748001,44005802,44016906,44170951,44300290,44308224,44420456,44569520,44862087,45271880,45496263,45612418,45645125,45905671,45952712,46010286,46048435,46072387,46230906,46259482,46731330,46778755,46801640,47077923,47316552,47893747,47936347,48028281,48273602,48347371,48654183,48720067,48720165,49016264,49244647,49641224,49846752,49973013,50140710,50371651,50921851,50930865,51147235,51475802,51477843,51696801,51964842,51968176,52054435,52651845,52851283,52868348,53141755,53160348,53231121,53483424,53865835,54130748,54136891,54326256,54594723,54770035,54774150,54906247,55143297,55196876,55258122,55719451,55835427,55846377,56077596,56107363,56134506,56141107,56161968,56454483,56763687,57114427,57176525,57283027,57381447,57714657,58306467,58308103,58425760,58431367,58464198,58736635,59019367,59036107,59078971,59853907,59867851,59933180,60079496,60168852,60268711,60555080,60763683,61069863,61117038,61375827,61376682,61430035,61876387,62204060,62465322,62518785,62566762,62597523,63182214,63374024,63770106,64402171,64639002,64959153,65030547,65390587,65575786,65579530,65720755,65724042,65728980,65994103,66261367,66686704,66846243,67323835,67589433,68124465,68521676,68611830,68707925,68854951,68872603,68954727,69257227,69555207,70074202,70110912,70483962,71052627,71184165,71255491,71295777,71351463,71919816,71983562,72078283,72169123,72644035,72666096,72742748,72905745,73176067,73185952,73355731,73462882,73527235,73536860,73716042,73854202,74427125,74585755,74644872,74920647,74935562,75022542,75642835,75832651,75887948,75929776,76103463,77329640,77332325,77419507,77766128,77871207,77888642,78355066,78432967,78695436,78696956,78852680,78864906,78874776,79338387,79452967,80059627,80556835,80788602,80906635,80909793,81392465,81680750,81693788,81749358,81879441,81965703,82333436,82334196,82354147,82449510,82813051,82919251,83127783,83176435,83256322,83279685,83297290,83520667,83975481,84117427,84221755,84325857,84398530,84505243,84635626,84828283,84875925,84988603,85420998,85697521,85741831,85787035,86017863,86134435,86655235,86995845,87076556,87104887,87172842,87486894,87642842,87946144,88002428,88028067,88098187,88232682,88244232,88709265,88734123,88831664,89041736,89167533,89277931,89312550,89457447,89469512,89502906,90463435,90534320,90771402,90799687,90981235,91449507,92016723,92135146,92300007,92370236,92795568,92798790,92818627,92876755,93430983,93752618,93908635,94113562,94276947,94277290,94623216,94950922,95266720,95453755,95578867,95682567,96234103,96537116,96668202,96711451,97082787,97087962,97362183,97475525,97577996,97641363,97670958,98016900,98207707,98939412,98985376,99274761,99647457,99811722,99907258,99935622,99956748,...,97301947269603569518840088694426745985363829402159669587349460121631886739954944789860603378753310991248305189884290483446396927433421801765440806983734227663005632588234981252207067757706581339716587932399219710649680130582053880960790804424108615573127869514540444608930212398106653563744187780049941115320910075665498113311751804507312046204517274450303216879059497403973105841229121337446991203617054796920014490835688703295963228115713807187068146553428721149108140301073657678881461954033965779303264900008764684987458749102337895046217049492131994449699265554412232024366496597189263844609763648586568122673452452018200195057106664234346085654776563475214180524839449744566923764515971150096790840983669002487886594385872792397562907358638421398055451259321287690921849291376953528026489319962768464057009531262896458876576290337762943522452319697148253241606421178085193849997169838094389639628979976831237246161715825393488585400152258487204319265873966273719572891089835779159166979576445412145672599995846750611952749034003042451302135353713732028265558018453865834605992351998288820901392820838122110088230581709948870768635949092022060242826478208879963073267321961106995472214424341960262759345016816730492559569533328967349929785291511229269120012998427382776059395487976366243122403145264013139562220723354073425751512939572666262576842962120283679242459451905579062860224976531873392618144426390717531431516855172203869399838300570485842494264188695826809258837799245023525868870427435002318538746566524813352922323435491262217234830958551408590982667272996928999715219693703442098761872874740364361183848379592243768675647757801158086976953952797646580935608401930182748736625021030310744810630810918167251917328673326788620006859494421513224947796855523369897322300934419610914558679838979433928540795511536162523178670687673295222284792265778051654880289374152056370882630425938375543248587605407285439700288563613908437183867634538741457990183393920196798778833439580119526108435500328489659308625096827289923497112919578962564883301427282588464956425368233752580353267515653849217211490144613692928519775007741797469758287131488842172988660884372003885272891587963141550876026564564345131664416458616732344841741599529365043034834071204740950536441058918340890743568796664660625318875497827161344917247366330710679580049285070476584805988974940164508742824308145488548571397125506052983615906406108994279630941985674416281578982140640793289451954997550002742908141796727287296759836278922291147095479710443850536617234679232179928911416707381534328855744994931162698312091892120649383742552206492031811449331822758152247491982447215882391405561849562946978994765717276064274222367155291341309454084248506971403358261229915650026147904901501875325279809097769274870375262526424817080629391495582322617139241175549611979782402297809607243066261844677795151215935305198631152942023556238371709035120256108339968981547835948324974976779061543262021530824645900573624455395483207657466702468681958249575337412582288104162513091264997594381288326}
19254  16130862025199477643190636435401277783245861864087124422258254499113763: {96245,115494,327029,442313,787733,826073,902729,1000324,1361993,1400213,1461556,1575302,1692856,1858229,1904463,2162933,2383156,2615416,2723702,2827839,2843524,2942343,3187529,3301013,3303604,3366475,3411014,3452213,4039770,4243913,4309088,4325414,4458808,4582133,4809250,4847724,5009702,5016159,5141044,5250063,5331413,5686456,5771100,5816729,6155840,6250075,6299896,6375029,6397263,6601334,6828134,6925320,7087383,7387008,7403935,7500090,7790985,8000096,8310384,8345476,8590229,8663573,8773529,8884722,9000108,9088214,9349182,9538502,9796313,10123733,10281016,10523033,10577050,11065973,11109974,11499029,11566143,12289973,12444724,12507663,12692460,13005653,13192466,13342694,13538624,13575893,13805956,13895753,14073173,14241279,14285813,14453654,14710229,14890075,14923839,14957273,15133493,15164596,15230952,15239129,15471295,15696053,15766229,16221593,16291529,16384696,16689208,16885094,17134821,17232533,17336729,17440853,17683529,17766475,17868090,17984534,18202229,18324676,18384927,18432783,18565554,18615893,18775359,18787913,18846380,18861494,19059296,19080374,19337033,19426936,19501195,19517702,20083855,20361113,20573236,20807679,20843935,21022084,21236995,21319770,21441708,21546773,21855303,21883733,22101850,22534503,22615656,22741088,22956629,23056793,23221263,23290229,23401434,23857935,24100626,24505574,24550613,24573423,25012722,25048756,25157671,25439129,25442613,25448464,25484394,25492216,25494724,25574595,25583724,25766729,26158793,26517173,26522220,26923400,27279568,27298831,27306808,27779993,27858850,28198229,28290368,28629522,28678743,28679129,28723435,29158229,29254075,29777050,29840774,30024376,30231487,30288825,30689514,30718095,30720159,30897014,31028995,31056629,31150793,31213529,31589273,31776713,31826664,32134456,32308080,32368373,32369702,32461529,32523593,32616629,32747935,32765968,33173333,33417302,33430620,33481493,33777423,34026223,34353604,34461302,34461952,34462229,34468122,34675855,34793524,35104890,35465033,35659328,35732460,35785778,35804997,35827529,35916854,35939530,36058125,36151263,36205195,36345208,36346590,36489113,36579029,36861714,36937973,37158854,37234794,37345407,37445216,37622729,37711733,37830293,38114624,38155673,38462000,38509529,38597813,38601302,38769696,38867899,38998330,39155273,39297522,39476693,39612895,39738953,40029593,40036694,40116744,40203593,40208623,40241174,40608473,40781513,40842808,40888359,40951435,41401983,41413529,41611026,41967295,42075014,42125868,42609353,42662836,42878952,42889231,43088774,43127436,43201973,43269750,43436071,43446234,43595093,43615908,43958729,44170687,44515529,44598773,44792729,45131337,45472154,45619529,45697924,45756629,45948159,46084853,46112153,46154400,46520693,46575029,46656473,46706803,46797996,47535474,47792895,48136853,48238821,48608890,48699302,48775253,49066313,49141722,49231360,49251029,49288075,49494435,49566773,49645529,50092216,50360754,50895833,50947529,50979088,50984056,51122540,51128213,51160978,51205529,51257033,51642293,51846243,51923700,52051253,52196287,52471023,52569559,52582276,52766008,52794064,52985695,53039513,53240729,53566613,53864884,54002534,54291844,54610229,54684233,54733529,55193203,55347029,55385280,55452271,55469129,55525570,55553702,55711900,55940054,55996804,56003993,56149193,56269973,56353743,56438729,56510933,56589850,56847556,57205193,57210808,57229013,57351474,57357063,57440890,57869129,58269173,58330668,58350866,58502050,58643573,58689208,58760153,59077632,59145690,59340053,59361759,59393322,59455433,59616629,59662613,59816116,60143513,60416729,60643529,60661684,60720854,61162133,61251893,61270330,61319129,61347048,61641208,62051530,62053973,62203983,62308440,62495093,62714453,62770564,62929839,62976629,63088736,63171823,63237653,63582834,63670133,63790287,63992393,64037708,64270229,64362159,64872244,64906229,64960220,64969433,65314263,65597513,65784533,65950229,65968502,66008703,66025359,66085435,66218393,66438554,66450435,66462336,66464729,66526133,66567029,66628313,66630684,66854280,66893702,67378229,67619093,67663435,67907820,68037833,68045362,68242471,68315033,68418627,68433353,68610293,68637124,68903753,68929068,68996095,69015429,69286456,69311573,69346359,69389223,69543029,69677513,70096995,70202460,70626713,70645493,70814153,70880464,70921814,70974828,71019413,71103254,71297753,71311232,71371673,71976629,72013013,72160699,72194453,72410403,72435008,72608729,72787529,72792964,72823193,72909734,73032200,73054229,73524396,73628294,73677496,74154713,74240693,74360729,74394953,74447236,74461836,74650613,74770128,74846008,74882624,74916475,74921333,75099370,75211065,75272644,75671753,75684916,75693850,75901913,76114229,76163033,76244213,76508596,76790933,76918229,76952876,77186534,77213703,77265653,77391029,77578133,77727706,77741956,77755075,77911519,77947263,77952264,77964233,78132533,78242774,78285823,78360473,78466229,78959513,78989129,79042282,79217530,79302522,79429529,79468502,79740522,79791029,80005529,80175833,80225136,80339702,80471093,80596553,81010073,81018244,81051029,81078293,81196122,81254729,81416393,81426484,81489384,81523529,81553334,81616853,81834436,81835576,81855029,81894473,82012373,82071302,82161225,82731413,82795314,82844633,82887183,83217353,83287096,83358380,83463364,83558729,83834453,84116394,84117653,84201759,84242952,84327029,84421922,84476633,84579413,84704153,84872693,84917333,85026808,85039433,85151894,85280729,85302473,85652095,85656629,85730633,85783253,85846133,85919129,85999334,86002073,86074229,86185336,86337302,86612204,86707396,86842073,86851733,86995673,87014729,87179702,87184793,87361493,87407513,87498953,87515654,87632056,87638640,87696297,87865493,88056629,88252313,88311029,88332178,88460213,88476629,88655093,88977353,89069129,89128324,89182229,89353094,89403029,89700053,89809493,89823029,89899770,90009173,90067673,90119244,90253278,90289013,90325973,90417113,90529973,90547529,90559193,90832620,90910229,90928435,90963029,91081433,91141529,91229513,91411253,91455893,91482440,91504073,91547033,91618229,91671113,91675557,91679129,91706933,91718729,91894133,91915253,91921075,91939636,92029493,92065023,92095433,92158502,92183513,92197493,92208533,92222153,92287253,92294729,92299673,92338073,92391833,92404553,92452553,92461973,92485529,92509963,92559413,92586713,92613593,92626229,92628953,92636693,92643029,92649254,92652233,92653529,92655413,92665673,92667893,92670293,92679113,92740276,93306090,93403882,93481216,93697983,93850143,93978616,94718911,94736836,94773321,94859935,94912220,94922294,95061036,95135284,95655159,95893088,96662050,96888128,96958503,97072178,97207660,97485494,98120534,98288056,98363679,98369295,98371195,98565850,98586063,98593470,99526496,99894196,...,145952920904405354278260133041640118978045744103239504381024190182447830109932417184790905068129966486872457784826435725169595391150132702648161210475601341494508448882352471878310601636559872009574881898598829565974520195873080821441186206636162923359691804271810666913395318597159980345616281670074911672981365113498247169967627706760968069306775911675454825318589246105959658761843682006170486805425582195380021736253533054943944842173570710780602219830143081723662210451610486518322192931050948668954897350013147027481188123653506842569325574238197991674548898331618348036549744895783895766914645472879852184010178678027300292585659996351519128482164845212821270787259174616850385646773956725145186261475503503731829891578809188596344361037957632097083176888981931536382773937065430292039733979944152696085514296894344688314864435506644415283678479545722379862409631767127790774995754757141584459443469965246855869242573738090232878100228387730806478898810949410579359336634753668738750469364668118218508899993770125917929123551004563676953203030570598042398337027680798751908988527997433231352089231257183165132345872564923306152953923638033090364239717313319944609900982941660493208321636512940394139017525225095738839354299993451024894677937266843903680019497641074164089093231964549364683604717896019709343331085031110138627269409358999393865264443180425518863689177858368594290337464797810088927216639586076297147275282758305804099757450855728763741396283043740213888256698867535288803305641152503477808119849787220029383485153236893325852246437827112886474000909495393499572829540555163148142809312110546541775772569388365653013471636701737130465430929196469871403412602895274123104937531545466117215946216377250877875993009990182930010289241632269837421695283285054845983451401629416371838019758469150892811193267304243784768006031509942833427188398667077482320434061228084556323945638907563314872881408110928159550432845420862655775801451808112186985275090880295198168250159370179289162653250492734488962937645240934885245669379368443847324952140923882697434638052350628870529901273480773825817235216920539392779662511612696204637430697233263259482991326558005827909337381944712326314039846846517697496624687925098517262612399294047564552251106807111425804661588377511336115353194996990937978313246740742017375871049496066019370073927605714877208983462410246763114236462218232822857095688259079475423859609163491419446412978511624422368473210961189934177932496325004114362212695090930945139754418383436720643219565665775804925852018848269893367125061072301493283617492396744047468137838180974075613828309738047717173997734137228371237973670823823587108342774344420468492148575914096411333550732937011964181126372760457105037391844873475039221857352252812987919713646653912305562893789637225620944087243373483925708861763324417969673603446714410864599392767016692726823902957797946729413035334357557563552680384162509953472321753922487462465168592314893032296236968850860436683093224811486200053703022937374363006118873432156243769636897496391571932489}
19255  16194667566294104147824638930942476293885677125844937955012042742370427: {153992,173241,1250405,1481249,1500486,1826945,2116070,2192334,2288489,2362953,2539284,2750033,2978945,3269270,3554405,3574734,3770452,3901457,3923124,4085553,4129505,4265286,4653902,4955406,4975649,5116521,5386360,5512409,5573510,5746481,6059655,6207737,6426305,6463632,6488121,6551633,6688212,7000084,7108070,7213875,7243301,7271586,7514553,7694800,7711566,7742033,7817249,7874870,8396081,8529684,8656650,8995889,9233760,9449844,9724814,9849344,9902001,10000120,10122089,10242201,10387980,10431845,10583057,11080512,11108582,11250135,11846296,12000144,12257894,12465576,12518214,12851270,12871793,13101902,13327083,13500162,13632321,14023773,14307753,14336609,14485094,14603057,14713361,15024566,15210533,15421524,15555905,15865575,16664961,16676884,16790414,16923280,16998569,17257445,18667086,18938102,18955745,18988372,19038690,19317281,19680401,19788699,19898452,20014041,20307936,20321006,20480870,20708934,20861510,21680481,21686753,22267406,22305689,22746894,22846428,22905845,23557975,23824120,23869622,23893457,23921201,24283670,24381593,24513236,24577044,24754072,24899534,25033812,25132133,25327641,25568273,25627121,25716545,25740902,26258789,26271329,26277605,26579081,26802135,26976801,27487014,27743572,27848331,28117649,28269570,28292241,28426360,28588944,28620561,28670222,28754657,29140404,29276553,29423654,30046004,30154208,30859854,30961684,31201912,31310945,31533126,31563509,31802057,31810580,31865270,31868405,31979655,32134168,32162562,32764564,32963249,33152775,33305294,33350296,33654250,33923484,33979192,34099460,34111632,34133510,34212233,34567766,35102151,35273177,35362960,35737457,36150939,36237233,36758361,37519083,37530470,37573134,38172696,38226591,38238324,38242086,38375586,38630534,39783330,39789089,40168070,40385100,40428401,40445273,40919352,40957460,40960212,41340806,41473646,41788275,42435552,42531302,42886181,42942005,42944283,43077440,43237349,43368974,43491905,43830689,44574160,44606702,44611049,44665575,44761161,45036564,45431510,45617174,45957496,46034271,46170257,46194806,46345521,46806520,47303633,47562566,47643280,47739996,47837414,48077500,48201684,48462120,48554553,48758102,48996329,49148952,49249793,49646392,49793876,50059457,50125953,50145930,50259014,50927189,51053510,51353057,51455702,51530406,51691953,51692928,51701774,51702183,52190286,52202033,52396696,52657335,53328545,53488992,53598690,53678667,53875281,53909295,53936057,54035297,54517812,54519885,55202644,55292571,55481368,55738281,55852191,55943297,56167824,56558513,56601701,56912657,57122405,57171936,57289013,57503248,57578261,57693000,57901953,57928312,58154544,58437473,58497495,58946283,59060366,59069081,59530133,60055041,60077321,60175116,60275009,60361761,60505937,60625649,61053353,61264212,61539200,61882853,62020406,62397328,62416539,62615270,63112521,63120422,63188802,63380632,63723860,63730070,63903175,63994254,64318428,64329206,64467809,64633161,64691154,64889201,64904625,65169351,65423862,65490257,65522296,65727845,65957510,65992580,66268313,66348581,67147672,67331105,67798694,67864805,68208231,68417294,68546886,68625269,68862233,69128324,69231600,69639875,69750161,69961364,69996005,70098254,70196994,71059445,71303211,71489681,71513510,71606129,71978897,72576614,72876209,72913335,73048953,73361510,73712583,73847040,74002037,74398457,74444102,74770145,75138324,75157286,75412169,75541131,75827105,76468632,76476084,76678049,76683810,76741467,76939697,77051510,77456846,77774224,77885550,78363254,78463205,78770176,78860920,78873414,79149012,79191096,79309313,80047135,80052302,80558081,80797326,81003801,81062489,81090305,81200275,81374033,81437766,81796064,81985817,82105574,82231289,82814966,82938644,83077920,83288355,83330553,83567850,83639462,83906452,83910081,83995206,84777112,84884775,85053716,85145813,85271334,85796405,85816212,85834169,86002049,86027211,86161335,86608070,86821157,87085684,87317606,87496002,87526299,87753075,88011604,88033812,88341902,88600580,88616448,88718535,88840912,89089983,89139040,89280713,89724174,90543760,90991205,90992526,91081281,91224836,91290250,91495781,91811342,91905424,91905495,92009057,92020572,92096870,92144774,92461812,92514689,92518964,92674457,93059045,93077295,93462660,93557510,93603280,93898961,94090805,94155846,94253369,94442249,94606145,94633104,94808081,95374251,95635745,95787494,95872694,96056562,96191095,96547204,96694742,96721589,97177445,97308366,97440134,97440330,97497161,98032528,98123297,98489294,98952753,99282448,99386009,99657831,99693504,99781217,99946026,...,194603894539207139037680177388853491970727658804319339174698920243263773479909889579721206757506621982496610379768580966892793854866843603530881613967468455326011265176469962504414135515413162679433175864798439421299360261164107761921581608848217231146255739029080889217860424796213307127488375560099882230641820151330996226623503609014624092409034548900606433758118994807946211682458242674893982407234109593840028981671377406591926456231427614374136293106857442298216280602147315357762923908067931558606529800017529369974917498204675790092434098984263988899398531108824464048732993194378527689219527297173136245346904904036400390114213328468692171309553126950428361049678899489133847529031942300193581681967338004975773188771745584795125814717276842796110902518642575381843698582753907056052978639925536928114019062525792917753152580675525887044904639394296506483212842356170387699994339676188779279257959953662474492323431650786977170800304516974408638531747932547439145782179671558318333959152890824291345199991693501223905498068006084902604270707427464056531116036907731669211984703996577641802785641676244220176461163419897741537271898184044120485652956417759926146534643922213990944428848683920525518690033633460985119139066657934699859570583022458538240025996854765552118790975952732486244806290528026279124441446708146851503025879145332525153685924240567358484918903811158125720449953063746785236288852781435062863033710344407738799676601140971684988528377391653618517675598490047051737740854870004637077493133049626705844646870982524434469661917102817181965334545993857999430439387406884197523745749480728722367696759184487537351295515602316173953907905595293161871216803860365497473250042060621489621261621836334503834657346653577240013718988843026449895593711046739794644601868839221829117359677958867857081591023072325046357341375346590444569584531556103309760578748304112741765260851876751086497175210814570879400577127227816874367735269077482915980366787840393597557666879160239052216871000656979318617250193654579846994225839157925129766602854565176929912850736467505160706535031307698434422980289227385857039550015483594939516574262977684345977321768744007770545783175926283101752053129128690263328832917233464689683483199058730086069668142409481901072882117836681781487137593329321250637750995654322689834494732661421359160098570140953169611977949880329017485648616290977097142794251012105967231812812217988559261883971348832563157964281281586578903909995100005485816283593454574593519672557844582294190959420887701073234469358464359857822833414763068657711489989862325396624183784241298767485104412984063622898663645516304494983964894431764782811123699125893957989531434552128548444734310582682618908168497013942806716522459831300052295809803003750650559618195538549740750525052849634161258782991164645234278482351099223959564804595619214486132523689355590302431870610397262305884047112476743418070240512216679937963095671896649949953558123086524043061649291801147248910790966415314933404937363916499150674825164576208325026182529995188762576652}
19256  16258723683701925545095436973766646789468583650395296965363029225034826: {134743,192490,230988,365503,654058,711103,826159,884626,1400359,1575466,1652146,1805458,2000648,2250729,2723986,2800426,2923112,3150604,3174105,3288501,3385712,3716458,3808926,4325866,4713065,4766312,4903905,5230832,5257183,5362101,5369359,5447404,5655678,5687048,5884686,6375058,6375703,6397929,6602026,6607208,6732950,6822028,6904426,6980853,7433109,7487023,8079540,8360265,8487826,8618176,8650828,8701159,8750105,8917616,9164266,9359743,9618500,9695448,10019404,10032318,10282088,10365509,10500126,10662105,10662826,10777783,10907379,11372912,11536303,11542200,11567349,11633458,11812305,12311680,12500150,12506359,12599792,12750058,12794526,12984975,13202668,13577359,13656268,13684063,13850640,14174766,14587221,14774016,14807870,15000180,15170359,15275983,15581970,15803023,16000192,16118383,16620768,16662873,16690952,17180458,17327146,17547058,17685463,17769444,18000216,18176428,18386841,18698364,18777321,18824359,18927463,19077004,19276905,19592626,19652853,19749703,20247466,20250243,20363359,20465383,20562032,20846105,21046066,21154100,21659813,21727641,21886159,22131946,22219948,22536849,22992583,22998058,23132286,23292823,23735465,23791783,24579946,24873065,24889448,25015326,25185621,25384920,25474783,26011306,26384932,26685388,27077248,27151786,27301673,27331159,27428143,27611912,27791506,28000629,28117397,28146346,28201423,28407153,28482558,28558035,28571626,28907308,29161543,29181509,29420458,29731793,29780150,29847678,29914546,30266986,30329192,30461904,30478258,30481509,30588223,30641545,30721305,30777223,30942590,31063401,31248463,31292265,31392106,31532458,32443186,32465263,32558359,32583058,32651383,32769392,33378416,33401109,33770188,34120341,34269642,34465066,34496743,34673458,34679465,34771063,34881706,35317759,35367058,35532950,35728121,35736180,35804433,35861863,35969068,36404458,36425505,36649352,36769854,36865566,37131108,37210783,37231786,37349301,37550718,37557505,37567759,37575826,37692760,37722988,38118592,38160748,38543503,38611353,38674066,38702105,38853872,38896159,39002390,39035404,39763225,40121383,40167710,40212809,40722226,40955705,41146472,41230521,41615358,41687870,42044168,42404355,42473990,42624325,42639540,42699343,42883416,43005333,43093546,43440593,43710606,43767466,44135481,44203700,44465359,44548663,45069006,45231312,45482176,45847109,45913258,46113586,46117759,46289781,46442526,46580458,46802868,47257303,47299689,47660863,47715870,47797905,48201252,48243843,48546197,49011148,49101226,49146846,49651663,49957941,50025444,50097512,50315342,50481375,50687273,50878258,50885226,50896928,50968788,50979703,50984432,50989448,51149190,51167448,51196825,51200265,51211903,51533458,51851649,52201721,52317586,52894903,53034346,53044440,53197159,53464213,53846800,54320359,54559136,54597662,54613616,54765103,55198949,55354063,55458053,55500583,55559986,55717700,56295705,56359701,56396458,56445943,56518159,56580736,56806303,57236359,57259044,57332009,57357486,57358258,57363129,57446870,57521623,57563379,57945801,58316458,58508150,58754213,59554100,59674995,59681548,59968543,60048752,60096875,60252105,60379159,60462974,60577650,60651463,61071769,61379028,61436190,61440318,61662343,61686521,61794028,62011209,62057990,62113258,62210469,62242345,62301586,62427058,63178546,63553426,63653328,63700159,63796953,64022359,64268912,64597783,64616160,64736746,64739404,64923058,65047186,65053461,65233258,65495870,65531936,66346666,66596503,66834604,66861240,66910053,66962986,67447759,67554846,68047159,68052446,68147265,68425761,68639359,68707208,68922604,68923904,68924458,68936244,69003305,69292209,69351710,69587048,70209780,70429423,70655359,70930066,71318656,71343849,71464920,71571556,71609994,71655058,71756121,71822623,71833708,71879060,72116250,72258943,72302526,72313159,72410390,72690416,72693180,72978226,73137153,73158058,73329583,73723428,73875946,74165359,74179973,74317708,74469588,74657609,74690814,74890432,75218895,75234343,75245458,75388521,75423466,75660586,75880183,76174159,76222903,76229248,76270997,76311346,76580265,76658359,76924000,76945423,77019058,77182663,77183553,77195626,77202604,77295609,77539392,77552661,77605159,77735798,77883583,77996660,78285429,78310546,78341863,78477943,78595044,78953386,79225790,79477906,79586743,79654825,79803103,80059186,80060359,80073388,80102983,80233488,80398035,80407186,80417246,80482348,80650193,80692159,81216946,81267223,81469183,81563026,81685616,81776718,81867703,81902870,82064263,82451983,82490725,82803966,82827058,83222052,83242759,83644303,83752303,83934590,83966359,84001783,84142759,84150028,84177823,84251736,84830359,85163359,85218706,85325672,85617463,85757904,85778462,86177548,86254872,86403946,86410405,86539500,86602423,86837143,86866159,86872142,86892468,86895103,87190186,87231816,87264823,87431359,87451705,87595303,87703159,87809863,87917458,88071583,88326103,88341374,88590549,88742263,88860703,89031058,89182759,89197546,89205223,89316463,89585458,89618359,89804983,90103063,90236623,90262674,90684823,90835159,90851503,90944308,90979663,91072759,91163263,91236703,91239058,91350463,91395848,91486183,91513258,91639543,91700383,91816663,91896318,91977583,92017759,92149303,92169706,92201359,92224306,92308800,92320159,92476543,92503903,92519609,92579359,92620543,92645023,92662663,92698159,93030609,93041386,93150058,93312946,93413606,93595992,93922905,94680633,94728809,94783203,95070948,95585790,95595105,95991381,96273706,96477642,96493809,96594533,97036731,97217780,97398604,97550506,98132626,98135793,98283444,98462720,98502058,98576150,98936265,98988870,99133546,99291058,...,291905841808810708556520266083280237956091488206479008762048380364895660219864834369581810136259932973744915569652871450339190782300265405296322420951202682989016897764704943756621203273119744019149763797197659131949040391746161642882372413272325846719383608543621333826790637194319960691232563340149823345962730226996494339935255413521936138613551823350909650637178492211919317523687364012340973610851164390760043472507066109887889684347141421561204439660286163447324420903220973036644385862101897337909794700026294054962376247307013685138651148476395983349097796663236696073099489791567791533829290945759704368020357356054600585171319992703038256964329690425642541574518349233700771293547913450290372522951007007463659783157618377192688722075915264194166353777963863072765547874130860584079467959888305392171028593788689376629728871013288830567356959091444759724819263534255581549991509514283168918886939930493711738485147476180465756200456775461612957797621898821158718673269507337477500938729336236437017799987540251835858247102009127353906406061141196084796674055361597503817977055994866462704178462514366330264691745129846612305907847276066180728479434626639889219801965883320986416643273025880788278035050450191477678708599986902049789355874533687807360038995282148328178186463929098729367209435792039418686662170062220277254538818717998787730528886360851037727378355716737188580674929595620177854433279172152594294550565516611608199514901711457527482792566087480427776513397735070577606611282305006955616239699574440058766970306473786651704492875654225772948001818990786999145659081110326296285618624221093083551545138776731306026943273403474260930861858392939742806825205790548246209875063090932234431892432754501755751986019980365860020578483264539674843390566570109691966902803258832743676039516938301785622386534608487569536012063019885666854376797334154964640868122456169112647891277815126629745762816221856319100865690841725311551602903616224373970550181760590396336500318740358578325306500985468977925875290481869770491338758736887694649904281847765394869276104701257741059802546961547651634470433841078785559325023225392409274861394466526518965982653116011655818674763889424652628079693693035394993249375850197034525224798588095129104502213614222851609323176755022672230706389993981875956626493481484034751742098992132038740147855211429754417966924820493526228472924436465645714191376518158950847719218326982838892825957023248844736946421922379868355864992650008228724425390181861890279508836766873441286439131331551609851704037696539786734250122144602986567234984793488094936275676361948151227656619476095434347995468274456742475947341647647174216685548688840936984297151828192822667101465874023928362252745520914210074783689746950078443714704505625975839427293307824611125787579274451241888174486746967851417723526648835939347206893428821729198785534033385453647805915595893458826070668715115127105360768325019906944643507844974924930337184629786064592473937701720873366186449622972400107406045874748726012237746864312487539273794992783143864978}
19257  16323031354433675996262154585058434691547541281626888470237178503133952: {288735,307984,346482,981087,1326939,1750567,2363199,2478219,2500810,2557723,2708187,2962498,3000972,3250039,3653890,3938255,4085979,4170523,4200639,4232140,4384668,4576978,4725906,4976167,5078568,5500066,5574687,5713389,5781307,5957890,6488799,6538540,6809255,6938059,7108810,7149468,7540904,7742839,7802914,7846248,8171106,8259010,8483517,8527535,8530572,8827029,8996827,9238567,9307804,9471023,9562587,9903039,9910812,9951298,10099425,10162619,10233042,10356639,10772720,10813535,11024818,11147020,11312923,11492962,12023125,12119310,12415474,12524255,12731739,12852610,12927264,12976242,13103266,13376424,13746399,14000168,14216140,14427750,14486602,14543172,14604583,15029106,15048477,15212119,15389600,15423132,15484066,15634498,15749740,15750189,15994239,16503335,16792162,17059368,17070335,17313300,17450187,17495819,17991778,18467520,18750225,18754703,18899688,19125087,19191789,19238543,19449628,19698688,19804002,20000240,20244178,20484402,20775960,20863690,21166114,21262149,21778267,22161024,22211805,22217164,22500270,22526603,22720535,23372955,23381639,23692592,23846255,24000288,24160423,24515788,24931152,25036428,25570939,25629799,25702540,25743586,25770687,25990719,26143703,26203804,26261527,26320587,26442625,26538043,26654166,27000324,27030527,27264642,27774935,28047546,28615506,28673218,28970188,29206114,29388939,29426722,30049132,30371199,30421066,30843048,31111810,31293179,31569099,31731150,32068183,32861663,32981165,33197919,33329922,33353768,33356735,33580828,33846560,33997138,34497087,34514890,34698429,35048123,35276863,36003163,36134135,36295919,36788647,36869919,37334172,37522989,37876204,37911490,37976744,38077380,38634562,38956567,39016959,39360802,39444263,39577398,39796904,40028082,40432639,40615872,40642012,40727679,40961740,41417868,41641199,41687259,41723020,42212735,42219519,42331067,42723837,42857439,43360962,43373506,43835323,44130687,44534812,44611378,44615767,44670225,44771517,44871819,44961335,45400479,45493788,45692856,45717387,45811690,46340783,46413885,47088159,47115950,47153735,47298687,47648240,47700935,47720087,47739244,47786914,47798959,47842402,48567340,48664779,48730319,48763186,48794255,48874587,49026472,49154088,49397759,49508144,49695479,49799068,50067624,50264266,50655282,51136546,51254242,51404463,51433090,51481804,51697599,52010187,52322559,52517578,52542658,52555210,53050587,53158162,53299425,53604270,53953602,54148247,54606687,54760603,54974028,55154781,55254625,55298349,55487144,55696662,55847679,55949143,56235298,56326077,56363739,56539140,56584482,56852720,56918623,57177888,57241122,57340444,57509314,58011099,58280808,58503585,58553106,58847308,59332463,60083599,60092008,60118807,60251565,60308416,60888667,61083339,61263935,61719708,61923368,62403824,62423037,62531805,62621890,63066252,63127018,63604114,63621160,63710985,63730540,63736810,63866843,63959310,64268336,64325124,64640319,65529128,65565909,65651199,65926498,66305550,66610588,66622859,66700592,66841879,67308500,67603509,67846968,67958384,68198920,68223264,68267020,68424466,68869887,69135532,69170379,69647125,69663789,69870687,70204302,70546354,70725920,71474914,71573805,72137483,72301878,72474466,73371167,73516722,73651839,73720269,74442625,74601935,74659963,75038166,75060940,75146268,75473013,76317387,76327839,76345392,76453182,76476648,76484172,76723785,76751172,77201063,77242535,77261068,77300187,78476379,79551519,79566660,79578178,79971367,79983143,80336140,80770200,80856802,80890546,80924255,81382639,81838704,81896493,81914920,81920424,82245883,82440359,82681612,82708159,82947292,83339979,83543255,83576550,84113279,84594687,84871104,85062604,85772362,85884010,85888566,86036229,86037387,86153255,86154880,86170305,86256647,86474698,86737948,86983810,87474687,87661378,87762225,89148320,89213404,89222098,89331150,89464445,89522322,89792135,89848825,90073128,90567143,90694461,90863020,90866475,91234348,91627019,91914992,92018983,92068542,92154285,92160477,92340514,92389612,92691042,92808823,92838383,92897135,93086985,93169887,93452379,93613040,93640587,94263547,94375007,94607266,94767819,95010727,95125132,95286560,95330139,95479992,95674828,96155000,96403368,96503255,96924240,97105119,97109106,97384587,97495825,97516204,97570779,97849887,97992658,97994407,98133583,98243805,98297904,98499586,99292784,99483223,99519999,99587752,...,437858762713216062834780399124920356934137232309718513143072570547343490329797251554372715204389899460617373354479307175508786173450398107944483631426804024483525346647057415634931804909679616028724645695796488697923560587619242464323558619908488770079075412815432000740185955791479941036848845010224735018944095340494741509902883120282904207920327735026364475955767738317878976285531046018511460416276746586140065208760599164831834526520712132341806659490429245170986631354831459554966578793152846006864692050039441082443564370960520527707976722714593975023646694994855044109649234687351687300743936418639556552030536034081900877756979989054557385446494535638463812361777523850551156940321870175435558784426510511195489674736427565789033083113872896291249530666945794609148321811196290876119201939832458088256542890683034064944593306519933245851035438637167139587228895301383372324987264271424753378330409895740567607727721214270698634300685163192419436696432848231738078009904261006216251408094004354655526699981310377753787370653013691030859609091711794127195011083042396255726965583992299694056267693771549495397037617694769918458861770914099271092719151939959833829702948824981479624964909538821182417052575675287216518062899980353074684033811800531711040058492923222492267279695893648094050814153688059128029993255093330415881808228076998181595793329541276556591067533575105782871012394393430266781649918758228891441825848274917412299272352567186291224188849131220641664770096602605866409916923457510433424359549361660088150455459710679977556739313481338659422002728486180498718488621665489444428427936331639625327317708165096959040414910105211391396292787589409614210237808685822369314812594636398351647838649131752633627979029970548790030867724896809512265085849855164537950354204888249115514059275407452678433579801912731354304018094529828500281565196001232446961302183684253668971836916722689944618644224332784478651298536262587967327404355424336560955825272640885594504750478110537867487959751478203466888812935722804655737008138105331541974856422771648092303914157051886611589703820442321477451705650761618178338987534838088613912292091699789778448973979674017483728012145834136978942119540539553092489874063775295551787837197882142693656753320421334277413984765132534008346059584990972813934939740222226052127613148488198058110221782817144631626950387230740289342709386654698468571287064777238426271578827490474258339238935534873267105419632883569802533797488975012343086638085272792835419263255150310161929658696997327414777556056544809680101375183216904479850852477190232142404413514542922226841484929214143151521993202411685113713921012471470761325028323033261405476445727742289234000652198811035892543379118281371315112175534620425117665572056758438963759140939961736916688681368911676862832261730120451777126585289973253909020810340143232593798178301050078180471708873393840188239106003072672690658041152487529860416965261767462387395505776944679096888710906552581310049279674434458600161109068812123089018356620296468731308910692489174715797467}
19258  16387591559282192999932116086241342623413692628780309931090157139465751: {269486,384980,461976,519723,731006,902917,1308116,1422206,1652318,1769252,1934857,2619577,2800718,3150932,3304292,3415141,3610916,3751215,4001296,4320037,4443747,4501458,4883257,5290175,5447972,5480835,5600852,5846224,5892517,6301208,6348210,6562117,6577002,6598291,6771424,6784741,6865467,7088859,7340041,7432916,7617852,7893541,8173175,8250099,8651732,8665417,8936835,9426130,9532624,9543241,9807810,10416457,10461664,10514366,10663215,10724202,10738718,10894808,10959877,11311356,11374096,11634755,11704371,11769372,11933497,12250147,12256659,12388515,12750116,12751406,12795858,13204052,13214416,13329541,13465900,13644056,13808852,13933775,13961706,14713417,14866218,14926947,14974046,15349563,15769657,16159080,16295077,16537227,16720530,16975652,17027641,17236352,17239443,17301656,17340517,17402318,17500210,17756677,17770175,17835232,18178965,18328532,18623211,18719486,19237000,19278915,19390896,19464363,19654899,19687175,20038808,20064636,20127241,20564176,20731018,21000252,21324210,21325652,21348937,21555566,21641625,21729903,21814758,21955897,22543659,22745824,22961737,23072606,23084400,23134698,23226099,23266916,23362057,23451747,23624610,23661541,24312035,24456997,24623360,25000300,25012718,25188243,25199584,25500116,25589052,25837957,25969950,26405336,26815717,26987667,27154718,27312536,27368126,27701280,27771455,28268857,28349532,29174442,29184547,29548032,29615740,29706003,30000360,30340718,30366267,30551966,30644735,30726603,31163940,31220677,31295535,31606046,31749171,32000384,32128175,32236766,32531077,32754755,33088357,33229651,33241536,33325746,33381904,33458437,33750405,34360916,34654292,34822291,34927237,35094116,35370926,35538888,35564041,36000432,36016741,36212735,36352856,36647497,36773682,37396728,37554642,37561415,37648718,37854926,38075977,38154008,38553810,38615379,39185252,39305706,39499406,39533483,39835657,39981249,40494932,40500486,40726718,40896963,40930766,41124064,41136517,41692210,41976035,42071319,42092132,42224143,42308200,42898163,42923259,43009827,43319626,43437241,43455282,43772318,43809171,44140083,44263892,44439896,44858917,45073698,45107641,45631599,45767737,45985166,45996116,46264572,46585646,46586377,46667715,47345255,47397817,47470930,47559241,47583566,47596725,47961541,48202057,48551251,49159892,49315897,49746130,49778896,49994883,50030652,50337541,50371242,50769840,50802515,50949566,50960197,50995707,51202175,51269797,51772335,52022612,52038757,52115257,52153775,52580507,52648741,52769864,53370776,53469779,53555077,54154496,54182947,54303572,54525241,54603346,54662318,54673417,54747397,54856286,55042597,55223824,55483237,55583012,55668515,56001258,56234794,56292692,56402846,56573497,56814306,56867235,56965116,57116070,57143252,57291337,57337987,57814616,57951843,58284217,58323086,58363018,58705417,58840916,59041203,59366097,59463586,59560300,59674055,59678137,59695356,59829092,60042123,60227641,60533972,60658384,60709175,60908041,60923808,60956516,60963018,61078127,61176446,61283090,61442610,61554446,61692943,61885180,62126802,62248835,62445637,62496926,62584530,62774857,62784212,63064916,63184979,63687097,64202041,64352255,64886372,64930526,65041443,65060259,65116718,65166116,65280997,65302766,65538784,66585097,66756832,66802218,66917067,67397363,67540376,67797577,68240682,68256683,68539284,68629177,68717535,68930132,68993486,69346916,69358930,69542126,69763412,70079077,70250041,70635518,70646437,70673925,70702777,70734116,71065900,71373241,71456242,71472360,71608866,71675555,71680371,71723726,71759557,71763603,71938136,72033337,72175727,72196741,72808916,72843877,72851010,73144779,73298704,73539708,73559135,73638217,73731132,74262216,74416357,74421566,74463572,74672137,74698602,74824741,74976697,75101436,75115010,75135518,75151652,75385520,75396399,75445976,75478537,75677257,75726757,75982923,76237184,76321496,76704819,76797541,76881363,77087006,77149635,77222706,77348132,77404210,77707744,77792318,78004780,78064057,78070808,78109957,78519817,78776367,78813987,78832815,79012837,79526450,79663175,79737243,79757641,80242766,80335420,80406405,80425618,80481637,80930403,81103177,81347257,81444452,81628741,81748297,81911410,82024741,82292944,82461042,82605241,82609307,83230716,83263235,83354041,83375740,83536741,83544993,84074041,84088336,84135625,84249541,84352947,84492217,84595141,84808710,84876723,84947980,85033657,85248650,85279080,85330117,85333775,85398686,85684537,85766832,85861683,85905541,86010666,86187092,86263971,86367241,86419415,86577157,86754277,86881186,87043717,87139283,87421212,87436837,87519241,87534932,87829659,87973957,88000057,88103737,88270962,88357897,88407400,88432741,88506937,88930718,89097326,89752357,89854777,90138012,90138451,90321337,90339877,90462624,90591877,90763237,90964352,91130041,91694218,91713637,91796041,91826516,91852741,92080837,92136997,92227172,92235518,92282041,92320741,92335717,92551177,92579562,92651077,92673541,92691397,92698597,92709541,92717641,92885052,93160916,93605736,93826175,93932835,94363991,94514606,94599378,94690527,95321726,95406171,95431740,95595810,95605215,95938965,96402504,96487686,96576335,96604627,97092394,98022296,98202452,98293692,98889747,99303326,99458325,99915882,...,583811683617621417113040532166560475912182976412958017524096760729791320439729668739163620272519865947489831139305742900678381564600530810592644841902405365978033795529409887513242406546239488038299527594395318263898080783492323285764744826544651693438767217087242667653581274388639921382465126680299646691925460453992988679870510827043872277227103646701819301274356984423838635047374728024681947221702328781520086945014132219775779368694282843122408879320572326894648841806441946073288771724203794675819589400052588109924752494614027370277302296952791966698195593326473392146198979583135583067658581891519408736040714712109201170342639985406076513928659380851285083149036698467401542587095826900580745045902014014927319566315236754385377444151830528388332707555927726145531095748261721168158935919776610784342057187577378753259457742026577661134713918182889519449638527068511163099983019028566337837773879860987423476970294952360931512400913550923225915595243797642317437346539014674955001877458672472874035599975080503671716494204018254707812812122282392169593348110723195007635954111989732925408356925028732660529383490259693224611815694552132361456958869253279778439603931766641972833286546051761576556070100900382955357417199973804099578711749067375614720077990564296656356372927858197458734418871584078837373324340124440554509077637435997575461057772721702075454756711433474377161349859191240355708866558344305188589101131033223216399029803422915054965585132174960855553026795470141155213222564610013911232479399148880117533940612947573303408985751308451545896003637981573998291318162220652592571237248442186167103090277553462612053886546806948521861723716785879485613650411581096492419750126181864468863784865509003511503972039960731720041156966529079349686781133140219383933805606517665487352079033876603571244773069216975139072024126039771333708753594668309929281736244912338225295782555630253259491525632443712638201731381683450623103205807232448747941100363521180792673000637480717156650613001970937955851750580963739540982677517473775389299808563695530789738552209402515482119605093923095303268940867682157571118650046450784818549722788933053037931965306232023311637349527778849305256159387386070789986498751700394069050449597176190258209004427228445703218646353510045344461412779987963751913252986962968069503484197984264077480295710422859508835933849640987052456945848872931291428382753036317901695438436653965677785651914046497689473892843844759736711729985300016457448850780363723780559017673533746882572878262663103219703408075393079573468500244289205973134469969586976189872551352723896302455313238952190868695990936548913484951894683295294348433371097377681873968594303656385645334202931748047856724505491041828420149567379493900156887429409011251951678854586615649222251575158548902483776348973493935702835447053297671878694413786857643458397571068066770907295611831191786917652141337430230254210721536650039813889287015689949849860674369259572129184947875403441746732372899245944800214812091749497452024475493728624975078547589985566287729956}
19259  16452405282836953205810349406564978190561129046227519736637148288632294: {19259,404229,481225,577470,615968,692964,1096509,1635145,1962174,2133309,2211565,2327677,2478477,2653878,3501134,3596197,3938665,4130365,4201077,4513645,4726398,4956438,5001620,5115446,5416374,5513557,5924996,6001944,6130861,6500078,6752187,6809965,7001065,7307780,7514629,7818877,7876510,8171958,8341046,8401278,8464280,8662357,8769336,9153956,9291145,9451812,9472009,9522315,9532957,9865503,9952334,10124197,10157136,10163677,10585261,10814665,11000132,11149374,11426778,11562614,11915780,11938549,12811069,12977598,13077080,13618510,13876118,14136397,14139195,14217620,14298936,14711715,15081808,15138949,15485678,15605828,15692496,15771549,15937645,16086303,16108077,16342212,16505065,16518020,16832375,16967034,17055070,17061144,17261065,17533957,17654058,17993654,18477134,18615608,18942046,19125174,19127109,19193787,19240549,19806078,19821624,19890697,19902596,20198850,20325238,20466084,20676877,20713278,20942559,21219565,21501901,21545440,21627070,22049636,22164649,22294040,22299327,22461069,22528957,22625846,22910665,22947661,22985924,23104669,23384077,23898469,24046250,24238620,24830948,25048510,25080795,25463478,25705220,25735909,25854528,25952484,26103477,26146429,26206532,26250315,26622349,26657065,26712037,26752848,27492798,27946717,28000336,28079229,28432280,28855500,28973204,29083645,29086344,29097577,29209166,30058212,30096954,30210589,30424238,30779200,30846264,30968132,31096527,31250375,31268996,31499480,31500378,31808749,31875145,31986315,31988478,32174677,32333349,32722137,32865097,33006670,33384757,33512389,33584324,34118736,34140670,34608909,34626600,34702047,34808269,34900374,34991638,35051797,35436915,35983556,36727741,36935040,37019675,37233709,37500450,37509406,37519077,37546861,37799376,38250174,38383578,38477086,38884909,38899256,38954925,39397376,39608004,40000480,40488356,40555369,40732077,40968804,41052189,41283517,41420509,41551920,41727380,41832829,42164557,42332228,42524298,42699109,42895177,42951145,43317865,43556534,43672477,43761663,43867645,44184877,44322048,44423610,44434328,45000540,45053206,45441070,45511077,45827949,46173631,46699429,46745910,46763278,47385184,47409069,47692510,47911657,48000576,48320846,48355149,48601309,48981565,49031576,49402921,49862304,49974661,49988619,50072856,50587789,50618665,51141878,51259598,51405080,51487172,51541374,51981438,52287406,52407608,52523054,52615165,52641174,52804501,52867909,52885250,53056389,53076086,53308332,54000648,54061054,54529284,55160523,55329865,55549870,56081929,56095092,56158861,56331963,56473077,56782389,57231012,57346436,57495145,57590377,57830715,57940376,58412228,58775869,58777878,58853444,58958559,59097829,59249109,60098264,60441481,60518629,60742398,60750729,60842132,61090077,61396149,61449865,61686096,61858597,61991221,62223620,62538315,62586358,62945869,63138198,63424357,63462300,63873517,64136366,64979439,65028265,65182923,65411149,65658477,65665909,65723326,65962330,66015229,66395838,66629821,66659844,66707536,66713470,66781309,67161656,67610547,67693120,67879465,67962589,67994276,68264197,68311957,68876797,68881261,68894269,68977749,68994174,69029780,69396858,69478765,69878469,70096246,70103077,70365865,70553726,71206395,71375349,71429065,71455177,71504677,72006326,72268270,72553261,72591838,73244029,73551145,73577294,73739838,74017609,74450375,74619195,74668344,74786365,75045978,75294649,75556863,75667465,75752408,75822980,75953488,76044217,76154760,76195645,76424349,77269124,77356475,77847097,77913134,78033918,78480265,78664861,78721604,78831145,78888526,79154796,79593808,80056164,80697661,80865278,81107965,81231744,81284024,81455358,81457645,81905019,81923480,81993477,82003069,82284429,82449001,82835736,83282398,83374518,83446040,83546941,84001887,84352191,84425470,84439038,84604269,84662134,84756661,84855109,85221459,85253389,85447674,85674105,85714878,85769509,86162665,86283541,86683645,86721924,86747012,86763529,86839369,87132349,87204265,87484629,87544527,87670646,88125901,88261374,88417645,88832375,89069624,89122981,89195379,89222756,89231534,89340450,89543034,89743638,89922670,90800958,90958597,90987576,91011145,91211749,91385712,91434774,91444527,91623380,91764669,91924635,92163915,92331669,92681566,92827770,93079465,93190203,93745389,93876795,93939565,94176318,94231900,94307470,94597374,95268877,95296480,95401870,95440174,95478488,95573828,95597918,95684804,96685165,97134680,97329558,97395789,97460638,97505975,97517677,97526372,97588510,97675077,97749174,97954149,98052944,98308176,98795518,98893741,99016288,99245989,99390958,99598136,...,875717525426432125669560798249840713868274464619437026286145141094686980659594503108745430408779798921234746708958614351017572346900796215888967262853608048967050693294114831269863609819359232057449291391592977395847121175238484928647117239816977540158150825630864001480371911582959882073697690020449470037888190680989483019805766240565808415840655470052728951911535476635757952571062092037022920832553493172280130417521198329663669053041424264683613318980858490341973262709662919109933157586305692013729384100078882164887128741921041055415953445429187950047293389989710088219298469374703374601487872837279113104061072068163801755513959978109114770892989071276927624723555047701102313880643740350871117568853021022390979349472855131578066166227745792582499061333891589218296643622392581752238403879664916176513085781366068129889186613039866491702070877274334279174457790602766744649974528542849506756660819791481135215455442428541397268601370326384838873392865696463476156019808522012432502816188008709311053399962620755507574741306027382061719218183423588254390022166084792511453931167984599388112535387543098990794075235389539836917723541828198542185438303879919667659405897649962959249929819077642364834105151350574433036125799960706149368067623601063422080116985846444984534559391787296188101628307376118256059986510186660831763616456153996363191586659082553113182135067150211565742024788786860533563299837516457782883651696549834824598544705134372582448377698262441283329540193205211732819833846915020866848719098723320176300910919421359955113478626962677318844005456972360997436977243330978888856855872663279250654635416330193918080829820210422782792585575178819228420475617371644738629625189272796703295677298263505267255958059941097580061735449793619024530171699710329075900708409776498231028118550814905356867159603825462708608036189059657000563130392002464893922604367368507337943673833445379889237288448665568957302597072525175934654808710848673121911650545281771189009500956221075734975919502956406933777625871445609311474016276210663083949712845543296184607828314103773223179407640884642954903411301523236356677975069676177227824584183399579556897947959348034967456024291668273957884239081079106184979748127550591103575674395764285387313506640842668554827969530265068016692119169981945627869879480444452104255226296976396116220443565634289263253900774461480578685418773309396937142574129554476852543157654980948516678477871069746534210839265767139605067594977950024686173276170545585670838526510300620323859317393994654829555112113089619360202750366433808959701704954380464284808827029085844453682969858428286303043986404823370227427842024942941522650056646066522810952891455484578468001304397622071785086758236562742630224351069240850235331144113516877927518281879923473833377362737823353725664523460240903554253170579946507818041620680286465187596356602100156360943417746787680376478212006145345381316082304975059720833930523534924774791011553889358193777421813105162620098559348868917200322218137624246178036713240592937462617821384978349431594934}
19260  16517473513498663692874013690009567992979272586187637684837671336792812: {211739,442451,538972,557699,769960,787979,866205,903011,923952,1017971,1039446,1462012,1515299,1805834,1858811,1973171,2616232,2657819,2844412,2943261,3302051,3304636,3415499,3453299,3538504,3642179,3869714,3980817,4245251,4358099,4771259,5239154,5251701,5333099,5601436,5930411,6252025,6301864,6562811,6599939,6608584,6830282,7089597,7221832,7406245,7434657,7502430,7562459,7673169,7931219,8002592,8124561,8592971,8640074,8703011,8776331,8887494,9002916,9134725,9142451,9434771,9750117,9766514,10126979,10236011,10580350,10635179,10895944,10961670,11177939,11201704,11442445,11692448,11785034,11814765,11970731,12257937,12509051,12511569,12580691,12601917,12602416,12696420,13124234,13154004,13196582,13330979,13542848,13569482,13687019,13730934,13750165,13758131,14006771,14177718,14680082,14865832,14894725,14926859,14928501,15138419,15235704,15244091,15787082,15806459,15876611,16191899,16288657,16346350,16500198,16646171,16724061,16855379,17140167,17303464,17330834,17342411,17343921,17446571,17758619,17772025,17873670,18104579,18415259,18794099,18852260,19065248,19086482,19103339,19309139,19446179,19466397,19507285,19615620,19822379,20265731,20427765,20469899,20647525,20814177,20832914,20923328,21028732,21046811,21182219,21326430,21448404,21477436,21688859,21789616,21891011,21919754,21958331,22622712,22748192,22997699,23064491,23164619,23228517,23269510,23364659,23397971,23408742,23538744,23697419,23866994,24500294,24513318,24777030,24878245,25152059,25382051,25450551,25500232,25502812,25546091,25582605,25591716,25873571,26167619,26408104,26428832,26481087,26623739,26659082,26818739,26931800,26990481,27013451,27143099,27288112,27498971,27562045,27617704,27715701,27867550,27918299,27923412,28272059,28413069,28687761,28732405,28848851,29263811,29426834,29709117,29732436,29853894,29948092,29994659,30184619,30298275,30487857,30500579,30699126,31038685,31067291,31069917,31161491,31255619,31539314,31600139,32131525,32318160,32440605,32472731,32534819,32565851,32590154,32627891,32758165,32999459,33074454,33441060,33493091,33938769,33951304,34036849,34055282,34472704,34478886,34565771,34603312,34681034,34804636,34961699,35000420,35325971,35513354,35540350,35568179,35670464,36069375,36216505,36357930,36591851,36657064,36681731,36831371,36950939,37246422,37438972,37572765,37635971,37725011,38110019,38195217,38474000,38523131,38557830,38611451,38710165,38729099,38781792,38880037,38928726,38964011,39086245,39309798,39374350,39490691,39578219,39840371,40043819,40077616,40129272,40130891,40188899,40254482,40304819,40709531,40997651,41128352,41239197,41462036,41514251,41980405,42000504,42341099,42648420,42651304,42697874,42709571,42902629,43111132,43283250,43442459,43459806,43629516,43813749,43911794,44114171,44184481,44531651,44614931,44698139,44808971,44892011,44979445,45087318,45140699,45145431,45278579,45491648,45636131,45636357,45856657,45923474,46145212,46168800,46269396,46452198,46533832,46537691,46673531,46721389,46724114,46903494,47160899,47249220,47250567,47323082,47403611,47806691,47982717,48624070,48913994,48925739,49246720,49269251,49510005,49663931,50000600,50025436,50343779,50369819,50376486,50399168,50610445,50697829,50914811,50992379,51000232,51178104,51211005,51224651,51276179,51430571,51675914,51939900,52070771,52147259,52159225,52350561,52487457,52585981,52680659,52810672,52915285,52958651,53260811,53411459,53561819,53586851,53631434,53975334,54309436,54625072,54630971,54705011,54736252,54778979,55147739,55294739,55402560,55490291,55514699,55542910,55563491,56146499,56250675,56264109,56291531,56532611,56537714,56580731,56699064,56748899,57084059,57298691,57375261,57465179,57575367,57583859,57678659,57715629,57796979,57962291,58348884,58362131,58369094,58666331,58766449,58992419,59096064,59131691,59231480,59293811,59412006,59639891,60000720,60029939,60235499,60258299,60440411,60681436,60732534,60916019,61051259,61103932,61253579,61289470,61343291,61453206,61856651,62144939,62277539,62327880,62441354,62475899,62585819,62591070,62739371,62805059,63001691,63191557,63212092,63498342,63566099,63717131,63786447,64000768,64256350,64358965,64473532,64721051,64995611,65062154,65100851,65289779,65334801,65478059,65509510,65873411,66039011,66176714,66224699,66283357,66348131,66459302,66483072,66491771,66553211,66614579,66635415,66651492,66655451,66763808,66900011,66916874,67042139,67345379,67466171,67500810,67579809,67646819,67826819,68161605,68263789,68461571,68658251,68721832,69308584,69398339,69533411,69644582,69854474,70088819,70118865,70144917,70188232,70543379,70675091,70712651,70741852,70899971,70993331,71077776,71123521,71128082,71383259,71401739,71538765,71659619,71683045,72000864,72033482,72045457,72098051,72183241,72225059,72279371,72425470,72481269,72693371,72705712,72925499,73014419,73015285,73191659,73294994,73350491,73385699,73547364,73566805,73648739,73962011,74392811,74673157,74682899,74733851,74793456,75004379,75105299,75109284,75122830,75297436,75439619,75506099,75688259,75704771,75709852,75935099,76052665,76151954,76196411,76245179,76277651,76286881,76308016,76342499,76423379,76712817,76824779,76872611,76889397,77047379,77107620,77158091,77230758,77236931,77312061,77581451,77779525,77935921,77937491,77972157,77998979,78365219,78370504,78395531,78431109,78440939,78531539,78611412,78666899,78784581,78961761,78995051,78998812,79066966,79327875,79614129,79639739,79651429,79671314,79870331,79962498,80084651,80198219,80283059,80367611,80507891,80633459,80666989,80951411,80989864,81000972,81047339,81088331,81091581,81359771,81453436,81494291,81561251,81654659,81793926,81861532,81893051,81932531,81998171,82050539,82089731,82248128,82273034,82630859,82744979,83071019,83232011,83324805,83330411,83379419,83384420,83543677,83598371,83670779,83910059,83952070,84099179,84142638,84184264,84262979,84344291,84448286,84517211,84616400,84620099,84744971,84857651,84880091,84992845,85113779,85190891,85376531,85602659,85666619,85730291,85772579,85796326,85804211,85846518,85919579,86019654,86116571,86287225,86351171,86591459,86631059,86639252,86768651,86874482,86885339,86910564,86923979,87086771,87148369,87340571,87405419,87460691,87543059,87544636,87618342,87732731,87910091,88023659,88101491,88118699,88166817,88272131,88280166,88322699,88372979,88447859,88456139,88527784,88546691,88628171,88772819,88788731,88879792,88907051,88938299,89168579,89228771,89347619,89362331,89449931,89471651,89628731,89663891,89717834,89768171,89911139,90093157,90109259,90135131,90147396,90215282,90356051,90362219,90399059,90429539,90537611,90596531,90666179,90785291,90895451,90933251,90997139,91113597,91146779,91166891,91263198,91280051,91294499,91370339,91507019,91520291,91535474,91542251,91619651,91669811,91694459,91734899,91770611,91801811,91858931,91928699,91957211,91970332,91981739,91992232,92019491,92052971,92059571,92098499,92145539,92237051,92245499,92302619,92328049,92341259,92348771,92356211,92399339,92419931,92446379,92465459,92483891,92513171,92516939,92529144,92535299,92551139,92569619,92623331,92635139,92640179,92651051,92672891,92685371,92693219,92697299,92712251,92714099,92717579,92722739,92725019,92728619,92736899,93171292,93172754,93335430,93879537,94690510,94707297,94778725,94795634,94941860,95118482,95167132,95193450,95923082,96204549,96404114,96586405,97102502,97629181,98319784,98402005,98584989,98631794,98943495,99492260,99557792,99593757,99989766,...,1313576288139648188504341197374761070802411696929155539429217711642030470989391754663118145613169698381852120063437921526526358520351194323833450894280412073450576039941172246904795414729038848086173937087389466093770681762857727392970675859725466310237226238446296002220557867374439823110546535030674205056832286021484224529708649360848712623760983205079093427867303214953636928856593138055534381248830239758420195626281797494495503579562136397025419978471287735512959894064494378664899736379458538020594076150118323247330693112881561583123930168143781925070940084984565132328947704062055061902231809255918669656091608102245702633270939967163672156339483606915391437085332571551653470820965610526306676353279531533586469024209282697367099249341618688873748592000837383827444965433588872628357605819497374264769628672049102194833779919559799737553106315911501418761686685904150116974961792814274260134991229687221702823183163642812095902902055489577258310089298544695214234029712783018648754224282013063966580099943931133261362111959041073092578827275135382381585033249127188767180896751976899082168803081314648486191112853084309755376585312742297813278157455819879501489108846474944438874894728616463547251157727025861649554188699941059224052101435401595133120175478769667476801839087680944282152442461064177384089979765279991247645424684230994544787379988623829669773202600725317348613037183180290800344949756274686674325477544824752236897817057701558873672566547393661924994310289807817599229750770372531300273078648084980264451366379132039932670217940444015978266008185458541496155465864996468333285283808994918875981953124495290877121244730315634174188878362768228842630713426057467107944437783909195054943515947395257900883937089911646370092603174690428536795257549565493613851062614664747346542177826222358035300739405738194062912054283589485500844695588003697340883906551052761006915510750168069833855932672998353435953895608787763901982213066273009682867475817922656783514251434331613602463879254434610400666438807168413967211024414315994625924569268314944276911742471155659834769111461326964432355116952284854535016962604514265841736876275099369335346921939022052451184036437502410936826358621618659277469622191325886655363511593646428080970259961264002832241954295397602025038178754972918441804819220666678156382839445464594174330665348451433894880851161692220868028128159964095405713861194331715278814736482471422775017716806604619801316258898650709407601392466925037029259914255818378506257789765450930485788976090991982244332668169634429040304125549650713439552557431570696427213240543628766680524454787642429454565979607235055341141763037414412283975084969099784216429337183226867702001956596433107677630137354844113945336526603861275352996716170275316891277422819885210750066044106735030588496785190361355331379755869919761727062431020429697781394534903150234541415126620181520564717318009218018071974123457462589581250895785302387162186517330834037290666132719657743930147839023303375800483327206436369267055069860889406193926732077467524147392401}
19261  16582797243493908922086396055456780417827461225108334614622684977583270: {38518,673715,808458,962450,1154940,1231936,1385928,1559169,1827515,2193018,2289203,2708751,2750891,3096191,3270290,3555515,3924348,4019279,4130795,4250051,4266618,4423130,4655354,4956954,5307756,5514131,5782511,5804571,6319103,6553679,7001795,7002268,7192394,7245563,7819691,7858731,7877330,8260730,8398703,8402154,9027290,9084911,9240491,9452796,9533951,9801491,9912876,10003240,10125251,10230892,10237331,10245423,10586363,10832748,11027114,11253645,11315279,11849992,12003888,12081203,12261722,12960111,13000156,13007603,13331241,13504374,13619930,13694591,14002130,14137871,14615560,14649771,15029258,15140531,15637754,15753020,15870525,16343916,16442505,16682092,16706651,16802556,16928560,17324714,17538672,17677551,18307912,18582290,18903624,18944018,19044630,19065914,19686351,19731006,19794873,19892771,19904668,20248394,20314272,20327354,20354223,20596401,21170522,21266577,21504143,21629330,22000264,22020123,22230779,22298748,22312703,22853556,22950059,23107091,23125228,23565325,23680623,23831560,23877098,24165491,24519525,24750297,25622138,25955196,25996251,26154160,26285915,26625131,26810505,26846795,27119963,27237020,27752236,27949631,28272794,28278390,28435240,28597872,28629723,28763663,29100611,29423430,29707391,30163616,30277898,30516971,30971356,31211656,31249371,31384992,31543098,31568771,31875290,31878515,31989645,32074931,32172606,32216154,32684424,32879631,33010130,33036040,33515891,33664750,33934068,34110140,34122288,34222991,34522130,34904265,35067914,35113113,35308116,35800491,35987308,36731579,36750441,36769977,36954268,37165545,37231216,37319891,37435115,37455023,37884092,37966379,38250348,38254218,38387574,38481098,39612156,39643248,39781394,39801551,39805192,39988623,40397700,40650476,40717103,40932168,41353754,41424851,41426556,41702639,41801325,41885118,42439130,42703571,43003802,43090880,43250891,43254140,43352291,43505795,43750525,44099272,44140251,44329298,44373563,44588080,44598654,44625203,44780841,44922138,45057914,45251692,45821330,45895322,45971848,46048689,46209338,46768154,46798715,47308971,47490203,47796938,48092500,48477240,48789611,48885231,49611681,49661896,50097020,50161590,50248811,50392859,50926956,50943203,51082923,51410440,51471818,51709056,51718329,51827545,51904968,52021551,52206954,52218491,52292858,52413064,52500630,52810019,52873451,53244698,53270031,53310525,53314130,53424074,53505696,53888915,54536895,54985596,55869633,55893434,56000672,56158458,56576399,56864560,57681515,57711000,57810731,57836745,57946408,58167290,58172688,58195154,58393089,58418332,58782011,58964697,59060963,59061525,59087663,60116424,60131603,60193908,60381723,60421178,60645011,60848476,61414703,61558400,61692528,61936264,61997699,62193054,62500750,62506331,62531795,62537992,62679803,62998960,63000756,63617498,63750290,63972630,63976956,64046811,64349354,64609859,64666698,64924875,65015183,65189709,65444274,65672771,65730194,65867691,66013340,66289151,66369563,66769514,67024778,67168648,67630977,67886795,67969691,68237472,68281340,68420315,68574191,68884079,68885211,68888459,68901491,69136079,69217818,69253200,69404094,69616538,69678297,69800748,69983276,70086171,70103594,70110491,70355241,70866131,70873830,70984623,71216219,71967112,72870131,72936105,73370991,73455482,73661231,73870080,74039350,74467418,75000900,75018812,75038154,75093722,75564729,75598752,75851795,76295279,76379915,76500348,76767156,76954172,77461811,77513871,77769818,77798512,77909850,78794752,79015115,79216008,79753691,80000960,80447151,80493203,80591915,80963001,80976712,81110738,81399851,81464154,81937608,82104378,82567034,82725563,82841018,82849091,83103840,83314365,83454760,83555699,83665658,84152843,84329114,84664456,84806571,85048596,85398218,85744763,85790354,85902290,86029811,86635730,87005579,87113068,87344954,87408611,87523326,87553641,87735290,88135139,88369754,88427315,88644096,88847220,88868656,89118009,89308799,90001080,90106412,90139163,90882140,91022154,91039571,91098801,91655898,91934205,92144099,92179809,92347262,92828291,92967563,93398858,93491820,93520811,93526556,93662031,93886605,94121795,94472411,94637315,94770368,94818138,94838063,95031251,95247513,95369963,95385020,95682191,95823314,96001152,96384525,96641692,96710298,96752003,96971003,97202618,97270271,97593231,97963130,98063152,98264265,98512211,98748515,98805842,99265071,99688953,99724608,99949322,99977238,99998699,...,1751435050852864251339121596499681427736548929238874052572290282189373961319189006217490860817559597842469493417917228702035144693801592431777934525707216097934101386588229662539727219638718464114898582783185954791694242350476969857294234479633955080316301651261728002960743823165919764147395380040898940075776381361978966039611532481131616831681310940105457903823070953271515905142124184074045841665106986344560260835042396659327338106082848529367226637961716980683946525419325838219866315172611384027458768200157764329774257483842082110831906890858375900094586779979420176438596938749406749202975745674558226208122144136327603511027919956218229541785978142553855249447110095402204627761287480701742235137706042044781958698945710263156132332455491585164998122667783178436593287244785163504476807759329832353026171562732136259778373226079732983404141754548668558348915581205533489299949057085699013513321639582962270430910884857082794537202740652769677746785731392926952312039617044024865005632376017418622106799925241511015149482612054764123438436366847176508780044332169585022907862335969198776225070775086197981588150470779079673835447083656397084370876607759839335318811795299925918499859638155284729668210302701148866072251599921412298736135247202126844160233971692889969069118783574592376203256614752236512119973020373321663527232912307992726383173318165106226364270134300423131484049577573721067126599675032915565767303393099669649197089410268745164896755396524882566659080386410423465639667693830041733697438197446640352601821838842719910226957253925354637688010913944721994873954486661957777713711745326558501309270832660387836161659640420845565585171150357638456840951234743289477259250378545593406591354596527010534511916119882195160123470899587238049060343399420658151801416819552996462056237101629810713734319207650925417216072378119314001126260784004929787845208734737014675887347666890759778474576897331137914605194145050351869309617421697346243823301090563542378019001912442151469951839005912813867555251742891218622948032552421326167899425691086592369215656628207546446358815281769285909806822603046472713355950139352354455649168366799159113795895918696069934912048583336547915768478162158212369959496255101182207151348791528570774627013281685337109655939060530136033384238339963891255739758960888904208510452593952792232440887131268578526507801548922961157370837546618793874285148259108953705086315309961897033356955742139493068421678531534279210135189955900049372346552341091171341677053020601240647718634787989309659110224226179238720405500732867617919403409908760928569617654058171688907365939716856572606087972809646740454855684049885883045300113292133045621905782910969156936002608795244143570173516473125485260448702138481700470662288227033755855036563759846947666754725475646707451329046920481807108506341159893015636083241360572930375192713204200312721886835493575360752956424012290690762632164609950119441667861047069849549582023107778716387554843626210325240197118697737834400644436275248492356073426481185874925235642769956698863189868}
19262  16648377468889853574555368447026061371174834231730377611099355438748822: {57777,250237,423478,596161,826417,884902,1077944,1115398,1212687,1443675,1515457,1539920,1575958,1732410,1806022,1847904,2035942,2078892,2924024,3030598,3289527,3453661,3611668,3680317,3717622,3946342,4019761,4905435,5232464,5315638,5371057,5688824,5886522,6399927,6600637,6604102,6609272,6634695,6830998,6906598,6983031,7077008,7284358,7435431,7739428,7961634,8490502,8716198,8752835,9542518,10368743,10478308,10503402,10666198,10672561,10788591,11202872,11215261,11815995,11860822,12391095,12504050,12603231,12603728,12788615,13125622,13154077,13199878,13217168,13540935,13660564,13688497,14179194,14221117,14443664,14812490,14869314,14963761,15004860,15124918,15175297,15280957,15346338,15862438,16005184,16019423,16228657,16249122,16250195,16540671,17185942,17280148,17406022,17552662,17774988,18005832,18269450,18284902,18392583,18417277,18830557,18869542,18933697,19139761,19250231,19345537,19500234,19533028,19691275,19858717,20253958,20256561,20429895,20472022,20472157,20852615,21003195,21160700,21270358,21691261,21791888,21893437,21923340,22355878,22403408,22498237,22543887,22884890,23200561,23384896,23400577,23456631,23570068,23629530,23941462,24515874,24693661,24880835,24990337,25018102,25023138,25161382,25203834,25204832,25384897,25392840,25987071,26170561,26248468,26308008,26393164,26661958,27085696,27138964,27310199,27374038,27437437,27461868,27500330,27516262,27873435,27921457,28013542,28355436,28416027,28566945,28598871,28906535,29267137,29360164,29596509,29731664,29744317,29789450,29853718,29857002,30219697,30276838,30372591,30471408,30488182,30491031,30693277,31574164,31612918,31753222,31755783,31916161,32383261,32383798,32443995,32569597,32577314,32662657,32692700,33000396,33292342,33448122,33710758,34046275,34280334,34606928,34661668,34684822,34687842,34690295,34829543,34893142,35330077,35517238,35544050,35747340,35815647,36209158,36830518,37588198,37704520,37848061,38130496,38172964,38206678,38291761,38433207,38557117,38586863,38618278,38714195,38733661,38892358,38932794,39014570,39231240,39612061,39644758,40222657,40225367,40531462,40855530,40939798,41295050,41628354,41665828,41846656,41947777,42057464,42093622,42204061,42364438,42409191,42417585,42637675,42652860,42896808,42954872,43377718,43454159,43579232,43782022,43839508,43916662,44135145,44147377,44564797,44984135,45245424,45416847,45496384,45861431,45995398,46128982,46192835,46329238,46457034,46539020,46729318,46787761,46795942,46817484,47077488,47314647,47355115,47394838,47733988,47812935,48258909,48324231,49000588,49026636,49515195,49554060,49756490,49827457,50304118,50376061,50497125,50703107,50764102,50813095,50901102,51000464,51005624,51092182,51165210,51183432,51747142,51770557,51783195,52218023,52306561,52335238,52601871,52816208,52857664,52962174,53217217,53247478,53318164,53443261,53593597,53637478,53863600,53980962,54026902,54067675,54194231,54286198,54576224,54720743,54997942,55124090,55216187,55235408,55431402,55521757,55735100,55836598,55846824,56177857,56539837,56544118,56564615,56826138,56900017,57375522,57381327,57464810,57581361,57697702,57721647,58393117,58527622,58772567,58853668,59023297,59418234,59464872,59672091,59707788,59785597,59896184,59989318,60115625,60266161,60369238,60402817,60596550,60975714,61001158,61081777,61284061,61398252,62030631,62077370,62134582,62139834,62322982,62511238,62621275,62827677,62971223,63078628,63200278,63271261,63596161,63658695,64263050,64505703,64636320,64750897,64881210,64945462,65069638,65131702,65180308,65255782,65516330,65820061,65998918,66148908,66254257,66493947,66882120,66897981,66929437,66986182,67383207,67411399,67586871,67877538,67902608,68073698,68110564,68726557,68731995,68842983,68945408,68957772,69019777,69131542,69206624,69253057,69314007,69362068,69427261,69543037,69609272,69716161,69923398,70000840,70003261,70152231,70651942,70854623,71021917,71026708,71080700,71136358,71340928,71411761,71695407,72138750,72343837,72398017,72433010,72715860,72935857,73022915,73183702,73314128,73363462,73413757,73662742,73901878,74081399,74492844,74680931,74877944,75116161,75145530,75242385,75271942,75450022,75715777,76060595,76220038,76256317,76294823,76353661,76390434,76948000,77046262,77115660,77207727,77222902,77420330,77458198,77563584,77686237,77760074,77857452,77928022,78172490,78240061,78310431,78439287,78467761,78619596,78693661,78748700,78750945,78981382,79006897,79156438,79228477,79680742,79867047,79882417,79971195,80087638,80136111,80139457,80155232,80224561,80258544,80261782,80377798,80508964,80609638,80675387,80729137,80977537,81182557,81419062,81945217,81995302,82141597,82256704,82452061,82478394,82516675,82626511,82833661,82924072,83028502,83840151,83935261,83960810,84001008,84006397,84041857,84218077,84237687,84682198,84904957,84972061,85138561,85144631,85204657,85296840,85302608,85351675,85395748,85419142,85627261,85805258,86222264,86566500,86884918,86909437,86919612,86938417,87250935,87259032,87292731,87364477,87420061,87479095,87627498,87823588,88228342,88368962,88471261,88520797,88906717,89063302,89229862,89251777,89396278,89617942,89686657,89784022,89872957,89933761,89958890,89973937,90102551,90131761,90157223,90174636,90281398,90290862,90378397,90415261,90557158,90631767,90647857,90682561,90901117,90983296,91122877,91272262,91272714,91316161,91563697,91691137,91713314,91740097,91846948,91946161,91999261,92070577,92166337,92211517,92263357,92280061,92290424,92337600,92477377,92525761,92538792,92698561,92704177,92716957,92755261,92755837,92756017,92756161,92904396,93067664,93075382,93289581,93347062,93442778,93448228,93751125,93773515,93806988,94133507,94321798,94383643,94498440,94501134,94646164,94807222,95426247,95613382,95625435,95958945,95965434,96192715,96524031,97000047,97248140,97827988,97851478,98166411,98493440,98538502,98595291,99020010,99327862,...,2627152576279296377008682394749522141604823393858311078858435423284060941978783509326236291226339396763704240126875843053052717040702388647666901788560824146901152079882344493809590829458077696172347874174778932187541363525715454785941351719450932620474452476892592004441115734748879646221093070061348410113664572042968449059417298721697425247521966410158186855734606429907273857713186276111068762497660479516840391252563594988991007159124272794050839956942575471025919788128988757329799472758917076041188152300236646494661386225763123166247860336287563850141880169969130264657895408124110123804463618511837339312183216204491405266541879934327344312678967213830782874170665143103306941641931221052613352706559063067172938048418565394734198498683237377747497184001674767654889930867177745256715211638994748529539257344098204389667559839119599475106212631823002837523373371808300233949923585628548520269982459374443405646366327285624191805804110979154516620178597089390428468059425566037297508448564026127933160199887862266522724223918082146185157654550270764763170066498254377534361793503953798164337606162629296972382225706168619510753170625484595626556314911639759002978217692949888877749789457232927094502315454051723299108377399882118448104202870803190266240350957539334953603678175361888564304884922128354768179959530559982495290849368461989089574759977247659339546405201450634697226074366360581600689899512549373348650955089649504473795634115403117747345133094787323849988620579615635198459501540745062600546157296169960528902732758264079865340435880888031956532016370917082992310931729992936666570567617989837751963906248990581754242489460631268348377756725536457685261426852114934215888875567818390109887031894790515801767874179823292740185206349380857073590515099130987227702125229329494693084355652444716070601478811476388125824108567178971001689391176007394681767813102105522013831021500336139667711865345996706871907791217575527803964426132546019365734951635845313567028502868663227204927758508869220801332877614336827934422048828631989251849138536629888553823484942311319669538222922653928864710233904569709070033925209028531683473752550198738670693843878044104902368072875004821873652717243237318554939244382651773310727023187292856161940519922528005664483908590795204050076357509945836883609638441333356312765678890929188348661330696902867789761702323384441736056256319928190811427722388663430557629472964942845550035433613209239602632517797301418815202784933850074058519828511636757012515579530901860971577952181983964488665336339268858080608251099301426879105114863141392854426481087257533361048909575284858909131959214470110682283526074828824567950169938199568432858674366453735404003913192866215355260274709688227890673053207722550705993432340550633782554845639770421500132088213470061176993570380722710662759511739839523454124862040859395562789069806300469082830253240363041129434636018436036143948246914925179162501791570604774324373034661668074581332265439315487860295678046606751600966654412872738534110139721778812387853464154935048294784802}
19263  16714215189609001486834392330130893288228092066511050217842555274008296: {77036,635217,943201,1327353,1347430,1616916,1673097,1924900,2309880,2363937,2463872,2558521,2598615,2709033,2771856,3053913,3118338,3251053,3655030,4386036,4514585,4545897,4578406,4750057,4977721,5417502,5501782,5576433,5783113,5919513,6192382,6540580,7111030,7745257,7848696,7973457,8038558,8261590,8500102,8533236,8664161,8829783,8846260,9241453,9310708,9674285,9802513,9906153,9913908,10246497,10359897,10615512,10736713,10926537,11028262,11316457,11565022,11609142,11942451,12638206,12735753,12813737,13074297,13097885,13107358,13502521,14003590,14004536,14313777,14384788,14491126,14980361,15639382,15717462,15754660,15755103,15999297,16521460,16708393,16797406,16804308,17075705,17791233,18054580,18169822,18480982,18756075,18760577,18905592,19067902,19602982,19688433,19799817,19825752,20006480,20250502,20461784,20474662,20490846,21172726,21268791,21600185,21665496,22054228,22218735,22233097,22303971,22507290,22630558,22687377,23019507,23699984,23789777,23793657,24007776,24162406,24373683,24416285,24523444,25778913,25920222,26000312,26015206,26028617,26109033,26328993,26450875,26662482,27008748,27038993,27122797,27239860,27389182,27404175,27427353,27553361,28004260,28275742,28304313,28984541,29231120,29250351,29299542,29462585,29481197,30058516,30281062,30380937,30520153,30708033,31275508,31506040,31741050,31905537,32243261,32687832,32810585,32885010,32991455,33364184,33413302,33533817,33605112,33857120,33923705,34327335,34649428,34813841,35077344,35355102,35444295,35912193,36307337,36570713,36615824,36700205,36773811,36800281,37164580,37458937,37527153,37534707,37554737,37585513,37742073,37805751,37807248,37888036,38089260,38131828,39372702,39456617,39462012,39467705,39589746,39785542,39809336,39992937,40445353,40496788,40628544,40654708,40708446,40865875,41061057,41192802,41250495,41274393,42020313,42341044,42533154,43008286,43258660,43327085,44000528,44040246,44459897,44461558,44597496,44625406,44629921,44684175,44780577,44785503,44869357,45415257,45707112,45732273,45900118,46214182,46250456,46355297,47130650,47361246,47419377,47629833,47663120,47716205,47735033,47754196,48330982,48575697,48865971,49039050,49284937,49500594,49938513,49985177,50172183,50566137,51244276,51420501,51910392,51992502,52027233,52031763,52082285,52308320,52339713,52409161,52461761,52571830,53122361,53250262,53275857,53316075,53621010,53693590,53812013,54165281,54239926,54313737,54474040,54799385,55245777,55504472,55899262,56093693,56382297,56545588,56556780,56870480,56936521,57195744,57259446,57310017,57527326,57927417,58173775,58201222,58338537,58399191,58521855,58846860,59093857,59414782,59467137,59555197,59667485,60327232,60555796,60797193,60908113,61033942,61104857,61250735,61283295,61409697,61942575,61942712,62423312,62442531,62498742,62659517,62769984,63086196,63137542,63140433,63546657,63750580,63757030,63979290,64149862,64345212,64432308,65021977,65066577,65130017,65368848,65518201,65673033,65759262,65874993,66020260,66072080,66647705,66863017,67031782,67329500,67868136,68220280,68244576,68321773,68445982,68993097,69044260,69193473,69493857,69668875,69685551,69808530,69860017,70093977,70135828,70193913,70226226,70616232,71092257,71223661,71600982,71974616,72020057,72558563,73259393,73384817,73463158,73500882,73539954,73567085,73908536,74331090,74462432,74634735,74639782,74870230,74910046,75310493,75444481,75456177,75768184,75932758,76146153,76351653,76500696,76508436,76638273,76747815,76775148,76962196,77620713,78502857,78848285,79180061,79224312,79286496,79443261,79495097,79562788,79603102,79610384,79871217,79977246,80456217,80754121,80795400,80971443,81040353,81300952,81408457,81429297,81434206,81475385,81864336,82496913,82686135,82707508,82849702,82853112,82857853,83147103,83405278,83602650,83754897,83770236,84816177,84878260,85138205,85239207,85407142,86007604,86063283,86181760,86197215,86501782,86508280,86546553,86702585,86704582,87011590,87501050,87544513,87791433,88198544,88280502,88658596,88747126,88783385,88850875,89127351,89176160,89197308,89250406,89318161,89561682,89844276,89983977,90115828,90193757,90503384,90553857,90894825,91463571,91501737,91642660,91790644,91943696,92097378,92418676,92868017,93116055,93201873,93209751,93484473,93536308,93597430,93635537,93766857,94617942,94800417,94980406,95041513,95593876,95788441,96185000,96355657,96388961,96394575,96954480,97321815,97418193,97579222,97604457,97691977,97697553,97770462,97883673,98164441,98274495,98435875,98914937,98998377,99223362,99266873,99323792,...,3940728864418944565513023592124283212407235090787466618287653134926091412968175263989354436839509095145556360190313764579579075561053582971500352682841236220351728119823516740714386244187116544258521811262168398281312045288573182178912027579176398930711678715338888006661673602123319469331639605092022615170496858064452673589125948082546137871282949615237280283601909644860910786569779414166603143746490719275260586878845392483486510738686409191076259935413863206538879682193483135994699209138375614061782228450354969741992079338644684749371790504431345775212820254953695396986843112186165185706695427767756008968274824306737107899812819901491016469018450820746174311255997714654960412462896831578920029059838594600759407072627848092101297748024856066621245776002512151482334896300766617885072817458492122794308886016147306584501339758679399212659318947734504256285060057712450350924885378442822780404973689061665108469549490928436287708706166468731774930267895634085642702089138349055946262672846039191899740299831793399784086335877123219277736481825406147144755099747381566301542690255930697246506409243943945458573338559252929266129755938226893439834472367459638504467326539424833316624684185849390641753473181077584948662566099823177672156304306204785399360526436309002430405517263042832846457327383192532152269939295839973742936274052692983634362139965871489009319607802175952045839111549540872401034849268824060022976432634474256710693451173104676621017699642180985774982930869423452797689252311117593900819235944254940793354099137396119798010653821332047934798024556375624488466397594989404999855851426984756627945859373485872631363734190946902522566635088304686527892140278172401323833313351727585164830547842185773702651811269734939110277809524071285610385772648696480841553187843994242039626533478667074105902218217214582188736162850768456502534086764011092022651719653158283020746532250504209501567798018995060307861686826363291705946639198819029048602427453767970350542754302994840807391637763303831201999316421505241901633073242947983877773707804944832830735227413466979504307334383980893297065350856854563605050887813542797525210628825298108006040765817066157353552109312507232810479075864855977832408866573977659966090534780939284242910779883792008496725862886192806075114536264918755325414457662000034469148518336393782522991996045354301684642553485076662604084384479892286217141583582995145836444209447414268325053150419813859403948776695952128222804177400775111087779742767455135518773369296352791457366928272975946732998004508903287120912376648952140318657672294712089281639721630886300041573364362927288363697938821705166023425289112243236851925254907299352649288011549680603106005869789299323032890412064532341836009579811583826058990148510825950673832268459655632250198132320205091765490355571084065994139267609759285181187293061289093344183604709450703624245379860544561694151954027654054215922370372387768743752687355907161486559551992502111871998398158973231790443517069910127401449981619309107801165209582668218581780196232402572442177203}
19264  16780311409444010895860317481676770466843807533552466854115949543246142: {96295,115554,500474,846956,1018183,1192322,1592023,1652834,1769804,1935463,2021145,2049799,2155888,2230796,2406125,2425374,2887350,3030914,3079840,3151916,3464820,3612044,3642943,3695808,4071884,4157784,4321399,4434223,4677507,4772263,4997263,5482545,5848048,6006199,6061196,6564199,6579054,6675583,6867609,6907322,7223336,7360634,7435244,7892684,8039522,8126253,8175725,8252673,8668183,8778199,9217543,9288573,9765103,9810870,10464928,10528663,10631276,10666545,10742114,11057825,11071903,11377648,11638385,11773044,12045199,12057837,12253969,12392385,12583399,12750153,12799854,13201274,13208204,13218544,13269390,13661996,13761103,13813196,13966062,14080783,14154016,14568716,14870862,15141703,15478856,15880063,15923268,16542393,16719583,16981004,17347533,17413713,17432396,17450383,17505670,17866399,17904061,17980985,18488263,18798223,18957309,19085036,19661037,19693325,20651825,20737486,20956616,21005385,21006804,21332396,21345122,21457399,21577182,21736689,21963199,22064143,22405744,22430522,22568225,22750273,22969399,23069623,23459073,23469799,23576193,23631990,23721644,24365983,24564343,24782190,25008100,25196109,25206462,25207456,25453399,25577230,25596461,26251244,26308154,26336623,26399756,26434336,27081870,27254733,27321128,27376994,27567785,27721473,27989023,28358388,28374799,28442234,28601853,28855399,28887328,29193661,29334199,29404473,29624980,29738628,29927522,30009720,30249836,30350594,30375753,30561914,30654305,30692676,30711993,30736269,31231399,31724876,31759089,32010368,32038846,32169199,32457314,32498244,32500390,32542303,32635399,33081342,33192463,33470023,33760935,33945837,34049825,34115143,34371884,34560296,34812044,34833169,35005325,35105324,35549976,35757823,36011664,36243609,36538900,36569804,36660343,36785166,36834554,37573145,37661114,37739084,37867394,38089399,38178103,38279522,38500462,38691074,38880333,39000468,39022809,39066056,39094385,39382550,39500023,39717434,39993723,40198423,40372303,40469149,40507916,40513122,40859790,40944044,40944314,41064943,41083773,41581399,41705230,42006390,42321400,42413613,42540716,43199743,43311785,43382522,43583776,43786874,43789423,43846680,43949313,44124799,44711756,44806816,44875183,44996474,45087774,45421593,45769780,45784399,46401122,46455725,46603399,46684903,46769792,46801154,46913262,47140136,47259060,47360045,47495983,47611575,47664785,47882924,48299863,48566413,48937783,49031748,49327515,49334143,49387322,49761670,49980674,50036204,50046276,50119953,50322764,50407668,50409664,50590399,50620985,50769794,50785680,50818385,50979199,51288943,51443383,51974142,52134799,52341122,52496936,52616016,52786328,52926305,53032653,53323916,53486477,54073325,54171392,54199873,54277928,54620398,54694183,54748076,54768199,54874874,54923736,55000660,55032524,55063543,55504399,55577623,55746870,55842914,56027084,56160823,56305903,56595199,56667343,56710872,56832054,57133890,57197742,57813070,58377199,58534274,58720328,58728199,58798183,59007703,59059053,59193018,59355463,59384619,59463328,59488634,59494063,59578900,59678313,59692745,59701423,59707436,59714004,60439394,60553676,60745182,60942816,60976364,60982062,61062669,61067263,61097201,61386554,61712209,61789203,62072743,62470399,62536423,62799799,62977789,63148328,63225836,63388183,63506444,63511566,63799731,63832322,64055345,64512429,64669969,64766522,64767596,64887990,65118343,65139194,65154628,65325314,65370199,65385400,65620903,65932663,66000792,66060369,66242623,66297161,66366103,66584684,66612199,66673543,66692337,66896244,66918199,66938109,67418417,67421516,67825399,67885303,68092550,68183743,68480383,68560668,68657503,68850177,69213856,69321273,69323336,69369644,69375684,69380590,69591199,69659086,69786284,70165399,70660154,70681985,70695975,70732399,70788703,71034476,71041869,71088100,71138333,71494680,71514103,71631294,72060461,72118399,72418316,72496473,73406623,73558575,73661036,73983199,74250891,74294023,74448463,74704423,74755399,75176396,75409040,75561223,75694745,75696122,75710263,75759799,76260992,76299943,76345928,76413356,76583522,76866414,76927063,77114234,77173726,77236556,77401183,77428390,77467322,77635543,77784716,77865588,77988753,78029140,78098863,78144799,78190663,78418903,78462480,78600199,78825199,78857745,79048399,79190461,79224122,79289516,79668017,79688225,79875393,79923199,80307463,80392063,80431515,80445314,80450734,80540385,80602303,81062924,81140503,81359889,81384799,81425263,81711060,81746383,81825943,81879596,82023583,82525325,82590100,82635113,82796143,83097103,83256708,83282863,83331656,83693312,83848893,83895554,83900983,84114928,84161875,84187244,84394399,84408122,84532783,84704143,84728876,84818382,84835170,84907399,85108063,85275350,85305720,85404199,85758223,85793616,85853263,85889169,85909744,85916263,86290989,86305325,86379583,86470303,86620063,86755436,86826703,86908318,87115783,87158464,87257623,87301833,87480823,87564044,87669785,87679016,87833324,87939823,88018663,88044799,88148623,88174399,88270290,88294754,88428199,88577023,88674799,88819303,89122173,89129594,89393503,89481199,89567743,89610583,89968270,90166609,90388399,90406903,90490848,90570199,90640903,90829399,90833694,90977143,90992768,91550913,91653943,91704199,91722862,91836463,91990796,92094799,92133823,92143399,92257964,92286823,92311663,92327863,92347277,92385670,92389783,92426143,92553583,92564743,92591383,92611399,92634799,92658476,92679943,92690743,92710399,92727463,92735023,92746183,92750143,92757199,92763103,92773399,92914068,93078040,93458636,93575522,93591884,93634968,93748113,94154976,94393469,94629294,94706313,94710230,94789676,95467976,95625870,95635545,95968935,96202745,96224793,96517818,96648462,97649513,98001176,98053272,98638893,99030390,99108120,99453485,99512980,99654914,...,5254305152558592754017364789499044283209646787716622157716870846568121883957567018652472582452678793527408480253751686106105434081404777295333803577121648293802304159764688987619181658916155392344695748349557864375082727051430909571882703438901865240948904953785184008882231469497759292442186140122696820227329144085936898118834597443394850495043932820316373711469212859814547715426372552222137524995320959033680782505127189977982014318248545588101679913885150942051839576257977514659598945517834152082376304600473292989322772451526246332495720672575127700283760339938260529315790816248220247608927237023674678624366432408982810533083759868654688625357934427661565748341330286206613883283862442105226705413118126134345876096837130789468396997366474755494994368003349535309779861734355490513430423277989497059078514688196408779335119678239198950212425263646005675046746743616600467899847171257097040539964918748886811292732654571248383611608221958309033240357194178780856936118851132074595016897128052255866320399775724533045448447836164292370315309100541529526340132996508755068723587007907596328675212325258593944764451412337239021506341250969191253112629823279518005956435385899777755499578914465854189004630908103446598216754799764236896208405741606380532480701915078669907207356350723777128609769844256709536359919061119964990581698736923978179149519954495318679092810402901269394452148732721163201379799025098746697301910179299008947591268230806235494690266189574647699977241159231270396919003081490125201092314592339921057805465516528159730680871761776063913064032741834165984621863459985873333141135235979675503927812497981163508484978921262536696755513451072915370522853704229868431777751135636780219774063789581031603535748359646585480370412698761714147181030198261974455404250458658989386168711304889432141202957622952776251648217134357942003378782352014789363535626204211044027662043000672279335423730691993413743815582435151055607928852265092038731469903271690627134057005737326454409855517017738441602665755228673655868844097657263978503698277073259777107646969884622639339076445845307857729420467809139418140067850418057063366947505100397477341387687756088209804736145750009643747305434486474637109878488765303546621454046374585712323881039845056011328967817181590408100152715019891673767219276882666712625531357781858376697322661393805735579523404646768883472112512639856381622855444777326861115258945929885691100070867226418479205265035594602837630405569867700148117039657023273514025031159061803721943155904363967928977330672678537716161216502198602853758210229726282785708852962174515066722097819150569717818263918428940221364567052149657649135900339876399136865717348732907470808007826385732430710520549419376455781346106415445101411986864681101267565109691279540843000264176426940122353987140761445421325519023479679046908249724081718791125578139612600938165660506480726082258869272036872072287896493829850358325003583141209548648746069323336149162664530878630975720591356093213503201933308825745477068220279443557624775706928309870096589569604}
19265  16846667136072566206821352268666575305864772958025056013129669197478645: {154072,173331,750711,1058695,1270434,1788483,1886402,2212255,2479251,2654706,2694860,2788495,3233832,3346194,3597319,3638061,3849800,3939895,4331025,4515055,4546371,4619760,4727874,4865443,4927744,5089855,5117042,5197230,5418066,5543712,5557759,6107826,6236676,6320419,6502106,7310060,7576495,8665063,8772072,9029170,9086803,9091794,9156812,9294055,9474967,9500114,9865855,9868581,9930019,9955442,10166851,10239463,10360983,10835004,11003564,11040951,11152866,11566226,11839026,12059283,12083719,12384764,12815071,13081160,13289095,13387279,13543999,13697443,14222060,14716305,14981923,15402343,15490514,15697392,15946914,16077116,16113171,16153087,16510255,16523180,17000204,17066472,17077495,17266495,17328322,17659566,17692520,17704063,18210895,18337039,18482906,18621416,19199781,19348570,19605026,19801911,19812306,19827816,19904085,20440519,20492994,20719794,20949093,21226255,21231024,21473426,21790495,21847159,21853074,22056524,22171591,22306293,22632914,23130044,23218284,23792263,23856295,23884902,23905987,25276412,25471506,25627474,26031331,26148594,26195770,26214716,26258505,26665495,26910943,27005042,28007180,28009072,28115191,28627554,28769576,28982252,29484271,29652055,29960722,30220051,30240259,31106229,31260125,31278764,31434924,31509320,31510206,31514383,31998594,32017683,32246623,32365773,32394487,32563063,32814055,32999695,33042920,33355759,33416786,33594812,33608616,33645783,33816103,34151410,34182799,34817479,34819171,35062819,35447985,35464567,35582466,36109160,36311143,36339644,36961964,37031225,37173285,37512150,37521154,37809693,37811184,37812295,37974343,38135804,38365845,38909587,39205964,39376866,39462231,39599634,39651504,39656095,40012960,40501004,40568071,40622805,40923568,40949324,40981692,41065491,41247619,41282239,42177763,42345452,42537582,42663351,42908671,42964855,43200370,43330992,43515055,43881655,43888687,44108456,44382871,44437470,44464543,44466194,44607942,44891283,45014580,45261116,45340291,45374754,45525891,45673625,45712255,45842871,45934819,46039014,46188037,46683043,47173855,47399968,47493187,47579554,47587314,47926663,48015552,48058269,48324812,48616531,48685971,48747366,48750585,48832570,49046888,49622013,50325439,50403463,50634895,51180055,51380287,51557826,51840444,52000624,52030412,52057234,52218066,52624279,52657986,52901750,53175895,53324964,53838007,54017496,54077986,54170959,54245594,54479720,54778364,54808350,54854706,54923119,55106722,55177749,55251831,55254787,55889695,56008520,56491671,56551484,56608626,56801091,57212225,57419283,57750693,57969082,58026967,58036611,58462240,58500702,58599084,58645543,58925170,58962394,59073391,59073825,59576151,59853655,60117032,60537667,60562124,60657919,60761874,60769683,61040306,61289685,61416066,61416471,62000263,62545255,62551016,62557845,62692951,62903455,63009585,63012080,63024727,63482100,63801799,63811074,63984019,64486522,65073783,65136823,65375664,65621170,65680311,65770020,65982910,66654895,66728368,66802687,66826604,66980863,67067634,67210224,67494711,67631661,67714240,67847410,68285719,68307091,68435095,68654670,68750825,68790655,69298856,69601683,69627682,70033855,70125319,70154688,70201731,70369893,70710204,70888590,71063107,71527171,71824386,72027583,72214831,72614674,72915199,73141426,73231648,73400410,73547622,73600562,74048791,74080983,74329160,74473625,74634295,74642505,74917874,74971011,75054306,75069414,75109474,75171026,75484146,75611502,75614496,75656467,75692095,75700039,75776072,75875551,76154691,76178520,76220455,76263656,76719139,77233567,77961213,78511683,78745404,78913234,78924024,78935410,79032295,79179492,79383055,79571084,79618672,79985874,80747983,80890706,80959495,80993576,81257088,81309416,81416892,81443285,81731750,81930597,82122114,82312311,82385604,82474927,82500990,82548786,83042503,83230855,83534479,83620305,83691043,83764371,84040626,84170551,84276895,84682088,85066308,85248081,85700835,85751029,85796613,86016572,86517320,86654170,86712055,86719605,86727511,86790967,86866687,87172639,87232855,87801411,88001056,88080492,88789527,88793095,88860125,88919794,88923116,89194992,89232951,89250812,89259842,89368350,89561154,89571006,89738714,90158071,90522895,90659091,90830514,91117773,91414224,91464546,91473093,91800236,92076295,92079831,92351167,92357443,92428364,92500912,92710594,93306787,93948751,93970495,94261300,94492519,94722492,94838754,95259666,95267349,95299303,95326240,95432410,95470066,95508392,95516695,95748483,96508819,96545695,96661964,96809623,97149783,97151394,97230895,97331985,97536425,97708791,97731942,97987971,98078100,98569874,99001188,99104143,99111895,99877026,99970354,...,7881457728837889131026047184248566424814470181574933236575306269852182825936350527978708873679018190291112720380627529159158151122107165943000705365682472440703456239647033481428772488374233088517043622524336796562624090577146364357824055158352797861423357430677776013323347204246638938663279210184045230340993716128905347178251896165092275742565899230474560567203819289721821573139558828333206287492981438550521173757690784966973021477372818382152519870827726413077759364386966271989398418276751228123564456900709939483984158677289369498743581008862691550425640509907390793973686224372330371413390855535512017936549648613474215799625639802982032938036901641492348622511995429309920824925793663157840058119677189201518814145255696184202595496049712133242491552005024302964669792601533235770145634916984245588617772032294613169002679517358798425318637895469008512570120115424900701849770756885645560809947378123330216939098981856872575417412332937463549860535791268171285404178276698111892525345692078383799480599663586799568172671754246438555472963650812294289510199494763132603085380511861394493012818487887890917146677118505858532259511876453786879668944734919277008934653078849666633249368371698781283506946362155169897325132199646355344312608612409570798721052872618004860811034526085665692914654766385064304539878591679947485872548105385967268724279931742978018639215604351904091678223099081744802069698537648120045952865268948513421386902346209353242035399284361971549965861738846905595378504622235187801638471888509881586708198274792239596021307642664095869596049112751248976932795189978809999711702853969513255891718746971745262727468381893805045133270176609373055784280556344802647666626703455170329661095684371547405303622539469878220555619048142571220771545297392961683106375687988484079253066957334148211804436434429164377472325701536913005068173528022184045303439306316566041493064501008419003135596037990120615723373652726583411893278397638058097204854907535940701085508605989681614783275526607662403998632843010483803266146485895967755547415609889665661470454826933959008614668767961786594130701713709127210101775627085595050421257650596216012081531634132314707104218625014465620958151729711955664817733147955319932181069561878568485821559767584016993451725772385612150229072529837510650828915324000068938297036672787565045983992090708603369285106970153325208168768959784572434283167165990291672888418894828536650106300839627718807897553391904256445608354801550222175559485534910271037546738592705582914733856545951893465996009017806574241824753297904280637315344589424178563279443261772600083146728725854576727395877643410332046850578224486473703850509814598705298576023099361206212011739578598646065780824129064683672019159623167652117980297021651901347664536919311264500396264640410183530980711142168131988278535219518570362374586122578186688367209418901407248490759721089123388303908055308108431844740744775537487505374711814322973119103985004223743996796317946463580887034139820254802899963238618215602330419165336437163560392464805144884354406}
19266  16913283381072306498050697627468063679763077290812140368472997675815960: {134813,192590,231108,327233,557873,903293,1000948,1018289,1133213,1592189,1693912,1905651,1973789,2036366,2088113,2384644,2430653,2829603,3184046,3305668,3368575,3416573,3539608,3681089,3756593,3870926,3982059,4042290,4099598,4311776,4359473,4461592,4812250,4850748,4885313,5019291,5559089,5774700,5820413,6061828,6159680,6303832,6564893,6602033,6676289,6929640,6935933,7091811,7224088,7285886,7391616,7490993,7675563,7795845,8127099,8143768,8315568,8642798,8705789,8868446,8998973,9137575,9161739,9355014,9544526,9547313,9753159,9802589,9994526,10239293,10964573,10965090,11446015,11696096,12012398,12122392,12513089,12692189,13128398,13158108,13351166,13477853,13543755,13637691,13735218,13754455,13762589,13814644,14250171,14295089,14446672,14721268,14870488,14931713,14933163,15178589,15249053,15460253,15480955,15706289,15785368,16079044,16252506,16293739,16302173,16351450,16505346,16729299,17174273,17336366,17349339,17452289,17556398,17758539,17777575,17868353,18214193,18421313,18435086,18490289,18577146,18834689,19109633,19530206,19621740,19931393,20096395,20272433,20374589,20653975,20929856,21057326,21250255,21262552,21333090,21484228,21965633,22066589,22115650,22143806,22755296,22971953,23005373,23172353,23235771,23276770,23472413,23546088,23805053,23920371,24090398,24115674,24507938,24784770,25166798,25173379,25456253,25489073,25500306,25599708,25653053,25980413,25992483,26372189,26402548,26416408,26437088,26489349,26538780,27323992,27508289,27522206,27570655,27605213,27626392,27724359,27932124,27992189,28161566,28217393,28308032,28378013,28410113,28912555,29022855,29137432,29178113,29337533,29369393,29407539,29718459,29741724,29751089,29814593,30250363,30283406,30605693,30739491,30957712,31077953,31079691,31172189,31266353,31595515,31760126,31798589,31846536,32172893,32210139,32577089,32639153,32670173,32768395,32779611,32825153,33084786,33103613,33439166,33504689,33750833,33949371,33962008,34119089,34695066,34827426,34864792,34900766,34943453,35008975,35011340,35489789,35732798,35792189,35808122,35827353,35961970,36033533,36227815,36484673,36694589,36976526,37596446,37738289,37914618,38093873,38123453,38170072,38207259,38441211,38594899,38625089,38830973,39098455,39222891,39293655,39322074,39386650,39592253,40145153,40232189,40507563,40810589,41012273,41303650,41474972,41913232,41957789,41993515,42010770,42013608,42664792,42690244,42914798,42916027,42941331,43154364,43233089,43458113,43473378,43570433,43794689,43926398,43990493,44128286,44158013,44213789,44631089,44714333,44811488,44861044,44908289,44941083,44991293,45136450,45424555,45500546,45938798,45954353,46139246,46202455,46364093,46554689,46918146,46939598,47152386,47263980,47265309,47420993,47443288,47501789,47669755,47690033,47824253,47997891,48731966,48784733,49007455,49128686,49287473,49445633,49564380,49839773,49892189,50016200,50125179,50392218,50412924,50414912,50626255,50906798,50933789,51011393,51154460,51186655,51192922,51227115,51449789,51526913,52166813,52502488,52602403,52616308,52673246,52776413,52799512,52868672,52931815,53054273,53230589,53280893,53373699,53431613,53807153,54031613,54163740,54509466,54552833,54642256,54651713,54725789,54732139,54753988,54799793,55135570,55168733,55389233,55442946,55511453,55535873,55584689,55657853,55978046,56192189,56268225,56281731,56576395,56602433,56674589,56716776,56749598,56842673,56884468,57106013,57203706,57558593,57710798,57774656,58055453,58387322,58408193,58668398,58689089,58808946,59038589,59065299,59249960,59386289,59399451,59477256,59801153,59855044,60007613,60019440,60122033,60406015,60464093,60499672,60636499,60691133,60701188,60751506,60939953,61097789,61123828,61142813,61308610,61385352,61423986,61472538,61613633,61881089,61947773,62103089,62462798,62478653,62500673,62830013,63211291,63449752,63518178,63806373,63850289,64020736,64077692,64172189,64321793,64338398,64641053,64747073,64800555,64914628,64996488,65000780,65038015,65084606,65270798,65378993,65650589,66162684,66272189,66304063,66384926,66518813,66580289,66641693,66656205,66699291,66730699,66911913,66940046,66947633,67130333,67292189,67433393,67521870,67834673,67854653,67891674,68062131,68099650,68193089,68230286,68285107,68472955,68489789,68686589,68743768,68745473,68784689,69058521,69120592,69310973,69600833,69624088,69666338,70010650,70175153,70210648,70572893,70689355,70798589,70869379,71079089,71099952,71145739,71369331,71380971,71515646,71542589,71873213,72023328,72067963,72205783,72310013,72364289,72487218,72956573,73077800,73121049,73139608,73222913,73248855,73320686,73434689,73469873,73570332,73669108,74045789,74096827,74304689,74766173,74817089,74935613,75146290,75188273,75322228,75478168,75522353,75702655,75734788,75737789,75770813,76178798,76180913,76278593,76311089,76356206,76559044,76842653,76906493,76954289,77000924,77081393,77239553,77336739,77382148,77662589,77760666,77941373,78000936,78045618,78085851,78132112,78188770,78327099,78476033,78611933,78626993,78765100,78986979,79000046,79060253,79149053,79252289,79352625,79434868,79646813,79676311,79863473,79935293,79987446,80163773,80234753,80396846,80744606,80753789,80823089,80938298,81015832,81026244,81029789,81116979,81125633,81207473,81368391,81397313,81437789,81598973,81679133,81719580,81888088,81888628,81970589,82075613,82127933,82129886,82167089,82167546,82212525,82282059,82660083,83162798,83308289,83369789,83406593,83410460,83455553,83533255,83569843,83638013,83710493,83914289,84012780,84127553,84303293,84557789,84642800,84649373,84729089,84827226,84912939,84932273,84954689,85081432,85088513,85162363,85740353,85846193,85930289,85989739,86003453,86065853,86220593,86393789,86399486,86424113,86623570,86674013,86765044,86841089,86953623,87015473,87167552,87337793,87384413,87504689,87573748,87578846,87668993,87693360,87751053,87898626,87954689,88068413,88146353,88189373,88197953,88249598,88342589,88387755,88443293,88443591,88451633,88567553,88616753,88858433,88937393,88953089,89007773,89123633,89423512,89518589,89540273,89613632,89675933,89677483,89697089,89732189,89750366,89918273,89958833,89992948,90105089,90157313,90175548,90298289,90348593,90410753,90423089,90496433,90586493,90680573,90766913,90795293,90843186,90917789,90945089,90982973,90999089,91062833,91094273,91142811,91181789,91217153,91320893,91345073,91435133,91539560,91540289,91560459,91568798,91571453,91593473,91606589,91725533,91746113,91782653,91865393,91880753,91922333,91937213,91991873,92020289,92065373,92105789,92112413,92124099,92161073,92164253,92207933,92290589,92299073,92304689,92345789,92356891,92392733,92402813,92410289,92446589,92513789,92538653,92544689,92583089,92595773,92606333,92629853,92653313,92679089,92707073,92710589,92754689,92756273,92765789,92770973,92776193,92784689,92787293,92792573,92794589,92802244,92911450,93206798,93369806,93539584,93602308,93826524,94153111,94280272,94518120,94720090,94991966,95223150,95329570,95716611,95765848,96599726,96729783,97132826,97659679,97875566,98063496,98431755,98655030,98668286,98774644,98954779,98974365,99463855,99523340,99961348,...,11822186593256833696539070776372849637221705272362399854862959404778274238904525791968063310518527285436669080570941293738737226683160748914501058048523708661055184359470550222143158732561349632775565433786505194843936135865719546536736082737529196792135036146016664019985020806369958407994918815276067845511490574193358020767377844247638413613848848845711840850805728934582732359709338242499809431239472157825781760636536177450459532216059227573228779806241589619616639046580449407984097627415126842185346685351064909225976238015934054248115371513294037325638460764861086190960529336558495557120086283303268026904824472920211323699438459704473049407055352462238522933767993143964881237388690494736760087179515783802278221217883544276303893244074568199863737328007536454447004688902299853655218452375476368382926658048441919753504019276038197637977956843203512768855180173137351052774656135328468341214921067184995325408648472785308863126118499406195324790803686902256928106267415047167838788018538117575699220899495380199352259007631369657833209445476218441434265299242144698904628070767792091739519227731831836375720015677758787798389267814680680319503417102378915513401979618274499949874052557548171925260419543232754845987698299469533016468912918614356198081579308927007291216551789128498539371982149577596456809817887519921228808822158078950903086419897614467027958823406527856137517334648622617203104547806472180068929297903422770132080353519314029863053098926542957324948792608270358393067756933352781702457707832764822380062297412188359394031961463996143804394073669126873465399192784968214999567554280954269883837578120457617894091202572840707567699905264914059583676420834517203971499940055182755494491643526557321107955433809204817330833428572213856831157317946089442524659563531982726118879600436001222317706654651643746566208488552305369507602260292033276067955158959474849062239596751512628504703394056985180923585060479089875117839917596457087145807282361303911051628262908984522422174913289911493605997949264515725704899219728843951633321123414834498492205682240400938512922003151942679891196052570563690815152663440628392575631886475894324018122297451198472060656327937521698431437227594567933497226599721932979898271604342817852728732339651376025490177588658578418225343608794756265976243372986000103407445555009181347568975988136062905053927660455229987812253153439676858651424750748985437509332628342242804975159451259441578211846330087856384668412532202325333263339228302365406556320107889058374372100784818927840198994013526709861362737129946856420955973016884136267844919164892658900124720093088781865091093816465115498070275867336729710555775764721898057947864034649041809318017609367897969098671236193597025508028739434751478176970445532477852021496805378966896750594396960615275296471066713252197982417802829277855543561879183867280032550814128352110872736139581633685082455862082962162647767111117163306231258062067721484459678655977506335615995194476919695371330551209730382204349944857927323403495628748004655745340588697207717326531609}
19267  16980161159935810977846446505852861880228151277579321217375268487714934: {19267,288885,308144,346662,1251185,1482173,1501422,2117390,2540868,2980805,3054549,3097157,3576966,3772804,3903893,4020533,4132085,4251377,4424510,4776069,4958502,5309412,5389720,5515853,5576990,5750069,5806389,6063435,6149397,6211613,6321077,6467664,6692388,7125797,7194638,7218375,7276122,7577285,7699600,7822133,7879790,8662050,9030110,9087749,9092742,9239520,9455748,9730886,9855488,10128413,10179710,10234084,10240529,10394460,10589669,10607093,10738949,10836132,10928829,11087424,11115518,11735477,12084977,12215652,12473352,12640838,12964197,13004212,13011677,13302669,13505333,13698869,13812197,14032521,14040317,14316789,14620120,14962253,14991789,15152990,15403949,16345157,16447635,17267093,17268305,17330126,17544144,17705909,18018597,18058340,18173606,18183588,18202769,18313624,18401585,18588110,18604733,18949934,19000228,19692597,19731710,19737162,19860038,19910884,20026749,20098805,20333702,20478926,20602827,20721966,21670008,21849437,22007128,22081902,22305732,23114357,23132452,23678052,23908493,24118566,24156977,24167438,24173093,24378759,24417413,24527175,24758019,24769528,25495253,25630142,26004549,26162320,26334597,26578190,26774558,26855285,26913749,27087998,27394886,27652629,27865719,28118129,28444120,29295309,29432610,29716757,29963846,30506693,30804686,30981028,31394784,31517669,31585989,31893828,31999635,32154232,32226342,32306174,33003185,33020510,33046360,33173475,33215709,33359237,33398813,33819629,34000408,34132944,34154990,34532990,34656644,34915155,35319132,35385040,35408126,35465669,35468273,36135597,36173511,36421790,36674078,36761907,36965812,37177155,37242832,37331693,37750197,38250459,38399562,38697140,38913653,39210052,39603822,39624612,39636869,39655632,39808170,40881038,40985988,41283309,41437877,41439588,41512877,41898186,42242349,42452510,42462048,42913169,42946852,43365869,43580990,43694318,43706148,43764175,44113048,44343182,44612586,44878769,45265828,45345029,45425109,45939677,46138973,46199573,46260088,46436568,46915493,47505077,47584526,47640189,47712590,47769804,47811974,49627179,50158749,50264549,50552824,50943012,51254948,51743057,51843715,52042599,52062662,52241139,52297188,52351149,52391540,52429432,52517010,52890077,52937213,53330990,53362805,53599197,53712183,53821886,53843633,53942955,54010084,55170869,55191317,55464789,55518533,56014360,56018144,56076305,56230382,56394669,56871927,57255108,57539152,57550973,57829013,57964504,58675313,58968542,58983111,59062949,59079975,59304110,59567729,59921444,60150797,60440102,60480518,60544013,60921077,61434317,61955475,62212458,62520250,62557528,62869848,63016155,63018640,63020412,63028766,63031313,63943075,63997157,63997188,64035366,64372197,64449533,64493246,64731546,64788974,64853669,65126126,65210067,65628110,65770385,65889597,65999390,66043397,66085840,66192429,66711518,66833572,67189624,67217232,67291566,67632206,67704675,68250819,68302820,68314229,68365598,68442485,68908197,68923157,69208869,69308369,69634958,69638342,70125638,70132733,70377219,70409397,70728579,70888853,70895970,70929134,71070533,71105585,71164932,71307893,71534669,71652077,72218320,72622286,72679288,73097949,73693029,73923928,74056529,74062450,74346570,74446253,74818805,75024300,75042308,75588327,75617477,75619386,75622368,75624590,75664373,75876485,75948686,76271608,76319333,76360197,76404785,76731690,76789383,77114993,77819174,77879873,78221093,78245573,78411928,78753732,78924462,79009869,79199268,79303008,79312190,80025920,80097115,81002008,81136142,81143285,81245610,81250975,81764199,81847136,81898648,81963384,82130982,82357253,82495238,82564478,82703355,82875377,83164419,83581973,83795117,83967069,84355526,84567389,84686909,84690904,85075164,85124397,85326702,85805559,85817342,85929710,86319869,86400740,86566197,86661984,86875793,87030110,87436253,87563357,87580983,87763310,87777374,88002597,88064837,88162853,88213419,88216912,88765742,88874940,88929086,88932388,89215884,89343857,89782566,90029160,90522232,90680582,90749508,91051782,91127259,91347250,91424510,91685742,91869638,91962915,92078028,92086385,92135979,92208807,92376074,92857493,93316853,93366086,93694197,94152785,94347710,94668485,94799936,94986374,95159108,95174628,95277267,95698805,95712749,95809133,95853326,96031104,96116538,96251155,96306917,96375869,96507597,96649624,96727685,97001669,97233062,97371942,97494732,97501170,97626909,97665140,97906197,98047397,98093776,98456375,98720213,99244026,99293585,99577389,...,15762915457675778262052094368497132849628940363149866473150612539704365651872701055957417747358036380582225440761255058318316302244214331886001410731364944881406912479294066962857544976748466177034087245048673593125248181154292728715648110316705595722846714861355552026646694408493277877326558420368090460681987432257810694356503792330184551485131798460949121134407638579443643146279117656666412574985962877101042347515381569933946042954745636764305039741655452826155518728773932543978796836553502456247128913801419878967968317354578738997487162017725383100851281019814781587947372448744660742826781711071024035873099297226948431599251279605964065876073803282984697245023990858619841649851587326315680116239354378403037628290511392368405190992099424266484983104010048605929339585203066471540291269833968491177235544064589226338005359034717596850637275790938017025140240230849801403699541513771291121619894756246660433878197963713745150834824665874927099721071582536342570808356553396223785050691384156767598961199327173599136345343508492877110945927301624588579020398989526265206170761023722788986025636975775781834293354237011717064519023752907573759337889469838554017869306157699333266498736743397562567013892724310339794650264399292710688625217224819141597442105745236009721622069052171331385829309532770128609079757183359894971745096210771934537448559863485956037278431208703808183356446198163489604139397075296240091905730537897026842773804692418706484070798568723943099931723477693811190757009244470375603276943777019763173416396549584479192042615285328191739192098225502497953865590379957619999423405707939026511783437493943490525454936763787610090266540353218746111568561112689605295333253406910340659322191368743094810607245078939756441111238096285142441543090594785923366212751375976968158506133914668296423608872868858328754944651403073826010136347056044368090606878612633132082986129002016838006271192075980241231446747305453166823786556795276116194409709815071881402171017211979363229566551053215324807997265686020967606532292971791935511094831219779331322940909653867918017229337535923573188261403427418254420203551254171190100842515301192432024163063268264629414208437250028931241916303459423911329635466295910639864362139123757136971643119535168033986903451544771224300458145059675021301657830648000137876594073345575130091967984181417206738570213940306650416337537919569144868566334331980583345776837789657073300212601679255437615795106783808512891216709603100444351118971069820542075093477185411165829467713091903786931992018035613148483649506595808561274630689178848357126558886523545200166293457451709153454791755286820664093701156448972947407701019629197410597152046198722412424023479157197292131561648258129367344038319246335304235960594043303802695329073838622529000792529280820367061961422284336263976557070439037140724749172245156373376734418837802814496981519442178246776607816110616216863689481489551074975010749423628645946238207970008447487993592635892927161774068279640509605799926477236431204660838330672874327120784929610289768708812}
19268  17047301492085641608926465912057355551124615124983844457580153989544123: {269626,365731,385180,462216,519993,596347,654466,711547,1115746,1171627,1806586,2001896,2036578,2252133,2266426,2430907,3176085,3184378,3387824,3454747,3794731,3811302,3947578,4072732,4176226,4716005,4769288,4861306,5365449,5659206,6368092,6602731,6611336,6636765,6737150,6833146,7079216,7362178,7437753,7513186,7713331,7741852,7964118,8084580,8199196,8365485,8623552,8718946,8923184,9624500,9701496,9770626,10038582,10784707,10791957,10914183,11118178,11327227,11549400,11640826,11759947,11819685,12123656,12319360,12607664,12792605,12993075,13129786,13204066,13352578,13479307,13545165,13639113,13859280,13871866,13906267,14183622,14448176,14544547,14571772,14596329,14783232,14968627,14981986,15269565,15285931,15351126,15591690,16024421,16254198,16255265,16287536,16631136,16673277,17285596,17411578,17697067,17736892,17997946,18275150,18323478,18710028,18939931,18961257,19089052,19094626,19146067,19256237,19454731,19506318,19605178,19762747,19989052,20478586,21191587,21673337,21929146,21930180,22572925,22729485,22892030,23007931,23208307,23308387,23392192,23750285,24024796,24244784,24888605,25026178,25384378,25491931,25995189,26256796,26316216,26702332,26955706,27087510,27155347,27260409,27275382,27470436,27508910,27525178,27629288,27882165,28134953,28413331,28424901,28500342,28590178,28893344,28915565,29372731,29442536,29597565,29605743,29740976,29750357,29790057,29849731,29863426,29866326,30357178,30498106,30500553,30718389,30798331,30920506,30961910,31081507,31082949,31412578,31458067,31570736,32158088,32487667,32505012,32587478,32604346,32673931,32702900,33010692,33122853,33458598,33785467,34348546,34672732,34698678,34703827,34904578,34977931,35112796,35517078,35555150,35736706,35750429,36177849,36251157,36428386,36518947,36842626,36870172,36968227,36980578,37154292,37669378,37861387,38127931,38219266,38445213,38598917,38726285,38747347,38835547,39060412,39243480,39626107,39713587,39862786,39867285,40161837,40192790,40323931,40477577,40544866,40631997,40749178,41017147,41092329,41307950,41859712,42114652,42219187,42474931,42500510,42525104,42666180,42968456,43320805,43575667,43931266,44133178,44148915,44231300,44233721,44287612,44830627,44945769,45410731,45510592,45875753,45943906,45987307,46010746,46207029,46207265,46344706,46471542,46553540,46804867,46886227,46944826,47092176,47291947,47610106,47840742,48180796,48231348,48339513,48371425,48459261,48817267,49012565,49015876,49055731,49293547,49530765,49569540,49845931,50333596,50346758,50718941,50912506,50978146,51000612,51172747,51199416,51232485,51306106,51799485,51960826,51984966,52744378,52805096,52832816,52874176,52978698,53077560,53086147,53112189,53463427,53683565,53838907,54632685,54647984,54737837,55011117,55016578,55044412,55141310,55210426,55252784,55448718,55542931,55689307,55864248,55984378,56323132,56434786,56489227,56582285,56616064,56756026,56820226,57599343,57708331,57825110,57921307,58045710,58274864,58356226,58675066,58738786,58790921,58815078,59405733,59436918,59483448,59502178,59629186,59670907,59712255,60015427,60152731,60500726,60566812,61211386,61321557,61375507,61478982,61644067,61915424,62155906,62159382,62344378,62508931,62532706,62847279,63035107,63191030,63520252,63594377,63597178,63678765,63693072,64068685,64345786,64420278,64683437,64776931,65154178,65278306,65340346,65371485,65489425,65536790,65541477,65559222,65650306,65846707,65908987,66169572,66207226,66514773,66737657,66878332,66918879,67009378,67501666,67512605,67863931,67898742,67924016,68238178,68610437,69339931,69390132,69654852,69729584,69745147,69801532,69886906,70017950,70022680,70032427,70876757,70979578,71219347,71376789,71465596,71568885,71584378,71616244,71654706,71661317,71717961,71923940,72067066,72428731,72455630,72969346,73126987,73389178,73953052,74104541,74435587,74704253,74901805,75192892,75199147,75476578,75549931,75829236,76187746,76192027,76246906,76318649,76340144,76387147,76414518,76869907,76882422,77189798,77250178,77345467,77661946,78045307,78093993,78196910,78320707,78445782,78502867,78548227,78587310,78638731,78644148,78773300,78775515,79184506,79206953,79996485,80261107,80290306,80464378,80472787,80700581,80732829,81015126,81621178,81705067,82024546,82101427,82218931,82529107,82607300,82796731,82949944,83172931,83284387,83431987,83541965,83826464,83915578,83987030,84021540,84027216,84081931,84152707,84345573,84568421,84674347,85171229,85329584,85378525,85380488,85701067,85828507,85829596,85832054,85882662,86017507,86173027,86308728,86466178,86688331,86916226,86946756,86981731,87140866,87352387,87408331,87589378,87852796,87980986,88212931,88256572,88316026,88416547,88427578,88452813,88466731,88640107,88956165,88999747,89139067,89230507,89262178,89428666,89622976,89722088,89816578,89882166,89981467,89982586,90179827,90199267,90272900,90660153,90720777,90783331,90817387,90849110,91001092,91053221,91063627,91110931,91233907,91366747,91614931,91705147,91803931,91827907,91877596,91908706,92009347,92181931,92278492,92404910,92413267,92519107,92538331,92556907,92586427,92624731,92714731,92725747,92728186,92757787,92775931,92806387,92813731,93109378,93318687,93780375,93802885,93836292,93879196,94162913,94304772,94527960,94530618,94543149,94841986,94886576,95003578,95339510,95380066,95648506,95862137,95995782,96053049,96739869,97097319,97183461,97463932,97569466,97689189,98014910,98257372,98442165,98574946,98891266,98965097,98999085,99128760,99679546,99784378,...,23644373186513667393078141552745699274443410544724799709725918809556548477809051583936126621037054570873338161141882587477474453366321497829002116097047417322110368718941100444286317465122699265551130867573010389687872271731439093073472165475058393584270072292033328039970041612739916815989837630552135691022981148386716041534755688495276827227697697691423681701611457869165464719418676484999618862478944315651563521273072354900919064432118455146457559612483179239233278093160898815968195254830253684370693370702129818451952476031868108496230743026588074651276921529722172381921058673116991114240172566606536053809648945840422647398876919408946098814110704924477045867535986287929762474777380989473520174359031567604556442435767088552607786488149136399727474656015072908894009377804599707310436904750952736765853316096883839507008038552076395275955913686407025537710360346274702105549312270656936682429842134369990650817296945570617726252236998812390649581607373804513856212534830094335677576037076235151398441798990760398704518015262739315666418890952436882868530598484289397809256141535584183479038455463663672751440031355517575596778535629361360639006834204757831026803959236548999899748105115096343850520839086465509691975396598939066032937825837228712396163158617854014582433103578256997078743964299155192913619635775039842457617644316157901806172839795228934055917646813055712275034669297245234406209095612944360137858595806845540264160707038628059726106197853085914649897585216540716786135513866705563404915415665529644760124594824376718788063922927992287608788147338253746930798385569936429999135108561908539767675156240915235788182405145681415135399810529828119167352841669034407942999880110365510988983287053114642215910867618409634661666857144427713662314635892178885049319127063965452237759200872002444635413309303287493132416977104610739015204520584066552135910317918949698124479193503025257009406788113970361847170120958179750235679835192914174291614564722607822103256525817969044844349826579822987211995898529031451409798439457687903266642246829668996984411364480801877025844006303885359782392105141127381630305326881256785151263772951788648036244594902396944121312655875043396862874455189135866994453199443865959796543208685635705457464679302752050980355177317156836450687217589512531952486745972000206814891110018362695137951976272125810107855320910459975624506306879353717302849501497970875018665256684485609950318902518883156423692660175712769336825064404650666526678456604730813112640215778116748744201569637855680397988027053419722725474259893712841911946033768272535689838329785317800249440186177563730182187632930230996140551734673459421111551529443796115895728069298083618636035218735795938197342472387194051016057478869502956353940891064955704042993610757933793501188793921230550592942133426504395964835605658555711087123758367734560065101628256704221745472279163267370164911724165924325295534222234326612462516124135442968919357311955012671231990388953839390742661102419460764408699889715854646806991257496009311490681177394415434653063218}
19269  17114705400889443117038111070812497958176408051661339509974360391523222: {38534,404439,481475,577770,616288,693324,981699,1673619,1751659,2502370,2709879,2964346,3002844,3054867,3399639,4173127,4234780,4751539,4776567,5081736,5090915,5716953,5784919,5921367,5961610,6109098,6194314,6264339,6942391,7153932,7291959,7545608,7807786,7960115,8041066,8264170,8488809,8502754,8849020,9244339,9552138,9677315,9917004,9932087,10105725,10248995,10249719,10608199,10618824,10740067,10779440,11031706,11043267,11153980,11269779,11319991,11500138,11612778,11946177,12030625,12126870,12298794,12423226,12642154,12935328,13078419,13384776,13390067,13506739,14251594,14389276,14436750,14552244,14655939,15057873,15154570,15399200,15644266,15692119,15759580,16156451,16677267,17324100,17461239,18060220,18175498,18185484,18204667,18214715,18457927,18479040,18911496,19461772,19694679,19710976,19806099,20028867,20256826,20359420,20468168,20481058,20788920,20807799,21179338,21214186,21275433,21283427,21477898,21606995,21672264,21857658,22171115,22174848,22231036,22472979,23026689,23151467,23387535,23470954,23861315,24169954,24175627,24381297,24419959,24431304,24946704,24986315,25281676,25762219,25928394,26008424,26023354,26117367,26605338,26996919,27010666,27397738,27412725,27485217,27624394,28065042,28080634,28138327,28633578,28641939,28815347,28993619,29240240,29259477,29407767,29924506,29983578,30030995,30305980,30717879,30807898,32690314,32818691,32820995,32893719,32895270,33377915,34338045,34534186,34536610,34660252,35088288,35411818,35469367,36037194,36116680,36347212,36367176,36405538,36582167,36627248,36766019,36803170,36961787,37176220,37209466,37539267,37566551,37597399,37899868,38000456,38076567,39214379,39385194,39463420,39474324,39641011,39720076,39821768,40053498,40197610,40433559,40631265,40667404,40878625,40913073,40957852,41205654,41263365,41287767,41443932,42582467,42750513,42885267,43340016,43340915,43698874,43890995,44014256,44163804,44611464,44795139,44799489,45535767,45747159,46087715,46110899,46204459,46228714,46264904,46380759,46442865,47101079,47118867,47356104,47520407,47816986,48237132,48313954,48334876,48346186,48757518,48825515,48834826,48881217,48906519,49054350,49516038,49539056,50187897,50990506,51260284,51522819,52009098,52048017,52324640,52356867,52643315,52669194,53138999,53156380,53275617,53332725,53549116,53605059,53710570,53715827,53827498,53828867,54175996,54642579,54789772,55263939,55289125,55305258,55359515,55470867,55731438,55766027,56058131,56111339,56236258,56504067,56888240,57328899,57556987,58039139,58191925,58590618,58865220,59112439,59433514,59794179,59903939,59927692,60225995,60289185,60817299,61013386,61123767,61269845,61609372,61961925,61962056,62789568,62916995,63035338,63171978,63750765,63787656,63999270,64308464,64452684,64612348,64817687,65578291,65896899,66006370,66041020,66092720,66199767,66346950,66431418,66718474,66797626,67639258,68000816,68265888,68309980,68343379,68805515,68915859,69016119,69065980,69313288,69517059,69707313,69801667,69830310,69838211,70403915,70417239,70638264,70770080,70816252,70931338,70936546,71415159,71761113,72031831,72183287,72271194,72347022,72581201,72843580,73282439,73348156,73523814,73931624,74354310,74485664,74632151,74661239,74663386,74707927,75500394,75520137,75708515,75891467,76368759,76467219,76500918,76799124,76959159,77249819,77394280,77827306,77941239,77977449,78229267,78420104,78506827,79116567,79207644,79249224,79273738,79311264,79400315,79468047,79616340,80173271,80740451,81077267,81762076,81971976,82524867,82566618,82711965,82815639,82875754,82879176,82884139,83025754,83173077,83597915,83796372,83883827,83976567,84484698,84652179,84905020,84924096,85134039,85230339,85826338,85893704,86731738,86737665,86828951,87042211,87068565,87161980,87251915,87388636,87412296,87528350,87534339,88012599,88108179,88222617,88226096,88686364,89155377,89225172,89253267,89331995,89346247,89443779,89520305,89757538,89904925,90531656,90690058,90751089,90767387,90850218,91817079,91879354,92078539,92218473,92277946,92370539,92399146,92441315,92520176,92867227,92873136,93233859,93239073,93516567,93799059,93830986,93991115,94434779,94786545,95010154,95169052,95280378,95319587,95395767,95425180,95539608,95623948,95819479,96518679,96630417,97331299,97722871,97731267,97917459,98010519,98305185,98338833,98466625,98475459,99254358,99310839,99547819,99854899,...,35466559779770501089617212329118548911665115817087199564588878214334822716713577375904189931555581856310007241712823881216211680049482246743503174145571125983165553078411650666429476197684048898326696301359515584531808407597158639610208248212587590376405108438049992059955062419109875223984756445828203536534471722580074062302133532742915240841546546537135522552417186803748197079128014727499428293718416473477345281909608532351378596648177682719686339418724768858849917139741348223952292882245380526556040056053194727677928714047802162744346114539882111976915382294583258572881588009675486671360258849909804080714473418760633971098315379113419148221166057386715568801303979431894643712166071484210280261538547351406834663653650632828911679732223704599591211984022609363341014066706899560965655357126429105148779974145325759260512057828114592913933870529610538306565540519412053158323968405985405023644763201554985976225945418355926589378355498218585974372411060706770784318802245141503516364055614352727097662698486140598056777022894108973499628336428655324302795897726434096713884212303376275218557683195495509127160047033276363395167803444042040958510251307136746540205938854823499849622157672644515775781258629698264537963094898408599049406738755843068594244737926781021873649655367385495618115946448732789370429453662559763686426466474236852709259259692843401083876470219583568412552003945867851609313643419416540206787893710268310396241060557942089589159296779628871974846377824811075179203270800058345107373123498294467140186892236565078182095884391988431413182221007380620396197578354904644998702662842862809651512734361372853682273607718522122703099715794742178751029262503551611914499820165548266483474930579671963323866301427614451992500285716641570493471953838268327573978690595948178356638801308003666953119963954931239698625465656916108522806780876099828203865476878424547186718790254537885514110182170955542770755181437269625353519752789371261437421847083911733154884788726953567266524739869734480817993847793547177114697659186531854899963370244503495476617046721202815538766009455828039673588157711691072445457990321885177726895659427682972054366892353595416181968983812565095294311682783703800491679799165798939694814813028453558186197018954128076470532765975735254676030826384268797928730118958000310222336665027544042706927964408188715161782981365689963436759460319030575954274252246956312527997885026728414925478353778324734635538990263569154005237596606975999790017684907096219668960323667175123116302354456783520596982040580129584088211389840569262867919050652408803534757494677976700374160279266345595273281449395346494210827602010189131667327294165694173843592103947125427954052828103693907296013708580791076524086218304254434530911336597433556064490416136900690251783190881845825889413200139756593947253408487833566630685637551601840097652442385056332618208418744901055247367586248886487943301333351489918693774186203164453379035967932519006847985583430759086113991653629191146613049834573781970210486886244013967236021766091623151979594827}
19270  17182373913675100601056781697809274171782059321487507272713479394957081: {57801,211849,539252,731462,770360,866655,924432,1039986,1133449,1192694,1308932,1423094,1707109,2050441,2164741,2231492,2343254,2507209,2849029,3613172,3644089,3753555,3757381,4003792,4073156,4435621,4446519,4504266,4532852,4548409,4861814,4886341,5111269,5293475,5896249,6352170,6368756,6602407,6677701,6775648,6789049,6909494,7566469,7589462,7622604,7895156,8119609,8145464,8352452,8781001,8942415,9163647,9291471,9432010,9538576,9722612,9768229,10423141,10640869,10730898,11061275,11183929,11318412,11711679,12061599,12156901,12396255,12587461,12694921,12736184,12754131,13205462,13222672,13273530,13474300,13666292,13942475,14158432,14328207,14724356,14875506,14934949,15026372,15252361,15426662,15483704,15779941,15928236,16169160,16398392,16547559,16730970,17038789,17247104,17247589,17250207,17419167,17437892,17846368,17909647,17976121,17986595,18190305,18448191,18494341,18597769,18634839,18963231,19249000,19402992,19541252,19699475,20077164,20854969,21363109,21377391,21565861,21569414,21583914,21655125,21828366,22071481,22172389,22236356,22575275,22654454,22731855,22757371,23077321,23098800,23177509,23281652,23466399,23519894,23639370,24247312,24327215,24374149,24473401,24638720,25215328,25449275,25560421,25585210,25604447,25986150,26259572,26345509,26408132,26443321,26705156,26958614,27028681,27090330,27263247,27278226,27718560,27743732,27788795,27812534,28288069,28367244,28480741,28896352,29089094,29143544,29192658,29566464,29821381,29937254,29963972,30385239,30539130,30571862,30702252,30721587,31183380,31242121,31602095,31769007,31821279,32048842,32216847,32508396,32510530,32575072,32646661,32786487,33250399,33262272,33346554,33758629,34218889,34571192,34823156,34844047,35134009,35206431,35394134,35473784,35498041,35770309,35860921,35995892,36222649,36254931,36550300,36646956,36852901,37420056,37879862,37882475,37922514,38102821,38178104,38189252,38191561,38292134,38512474,38892591,38909462,39012636,39035031,39210356,39514021,39525494,39558167,39601609,39908007,39978104,40212709,40473529,40481791,40515999,40957172,41079589,41096607,41165881,41338249,41436591,42097563,42120951,42250507,42383174,42950367,43046089,43325315,43346674,43468549,43637029,43858292,43860360,44224441,44886759,44975367,45145850,45305989,45434015,45458970,45784060,45801061,45965509,46015862,46211847,46375369,46416614,46470275,46616774,46620421,46701961,46784384,47374835,47500570,47594149,48049592,48397669,48489568,49035471,49329275,49342905,49352389,49650095,49777210,49904521,50052356,50768756,50834255,50983862,50998201,51197315,51462601,51539749,51801279,51804915,51990378,52513592,52632432,52688329,53117727,53294281,53404664,53820709,53911412,54055791,54175020,54216799,54310694,54520818,54550764,54608307,54714949,54789001,54940872,55017820,55050356,55204755,55258576,55598821,55672009,55764330,55814199,56269906,56689081,56826662,56849802,57000684,57180356,57620869,57786688,57831130,57834169,58745462,58750981,58821001,58885072,59077791,59195130,59211486,59481952,59500714,59580114,59699462,59726852,59732652,60069049,60080247,60296415,60418595,60649127,60714356,60996212,61001106,61091269,61158841,61436778,61596662,61808481,61841012,61923820,62163014,62165898,62561221,62627209,62825156,62916134,63141472,63478501,63867301,64075355,64316176,64690171,64975334,65010024,65144581,65174956,65208692,65333689,65347862,65405800,65548311,66021384,66021541,66245706,66445475,66639301,66700681,66917196,66936395,66945481,67439471,67570934,67719995,67853221,67913161,67973029,68271289,68487215,68617591,68685829,68697092,68803621,68979769,69343071,69345464,69397356,69407654,69809156,69955862,70225592,70818361,71034156,71043001,71110300,71473412,71500858,71544229,71725479,72355698,72470931,72502314,72519279,72856772,73037894,73066309,73136277,73252239,73490821,73581525,73685252,73701349,73740344,73806181,73936454,73961156,74067001,74274057,74308584,74787721,74838661,74909615,75156991,75243589,75338756,75494329,75722774,75792841,75891769,76255862,76333381,76438532,76479289,76485759,76890426,76960969,77008741,77011715,77197834,77293861,77452570,77482501,77494694,77671094,77995321,78013647,78120824,78133669,78179641,78225541,78486960,78499429,78905401,79003791,79172809,79215199,79252214,79427174,79699849,79725572,79734570,79829989,80002501,80323674,80385580,80565855,80639161,80647862,80741247,80765435,80955154,81089732,81177829,81263994,81462841,81498356,81503269,81624121,81784249,81824101,81903589,82034294,82061701,82101049,82184658,82551275,82615900,82660919,82682629,82957887,83506309,83597157,83615929,83719424,83976649,84224869,84229304,84354387,84438374,84676489,84744889,84949862,84982021,85001020,85050208,85115941,85182469,85332360,85387475,85607881,85895269,85936912,85989769,86007647,86114761,86332475,86452549,86513029,86543161,86641610,86662969,87044389,87151334,87301321,87524809,87862532,87885927,88089541,88193509,88219321,88266356,88297830,88462600,88467442,88520315,88575224,88647109,88889029,88983781,89054089,89150271,89549881,89661254,89696159,89742661,89826469,89888569,89891538,89990629,90189349,90194767,90455461,90510649,90821462,90895561,91021184,91026889,91042981,91054475,91275721,91364281,91520079,91627621,91685195,91751506,91887812,91888441,91900069,91923109,91974614,92021492,92033989,92107321,92147641,92196421,92340421,92389669,92414058,92414530,92428729,92443849,92501449,92585221,92646601,92651749,92689412,92746789,92783941,92786569,92791609,92794021,92805001,92808889,92820229,92826169,92943084,93107080,93609734,93772454,93889652,94184352,94422947,94517647,94553007,94583894,94757967,95220212,95285927,95681484,95998905,96361592,96462696,96679026,96742850,96918522,97634534,98025130,98031752,98111462,98587094,99009555,99061530,99139080,99520425,99647127,99691862,...,47288746373027334786156283105491398548886821089449599419451837619113096955618103167872253242074109141746676322283765174954948906732642995658004232194094834644220737437882200888572634930245398531102261735146020779375744543462878186146944330950116787168540144584066656079940083225479833631979675261104271382045962296773432083069511376990553654455395395382847363403222915738330929438837352969999237724957888631303127042546144709801838128864236910292915119224966358478466556186321797631936390509660507368741386741404259636903904952063736216992461486053176149302553843059444344763842117346233982228480345133213072107619297891680845294797753838817892197628221409848954091735071972575859524949554761978947040348718063135209112884871534177105215572976298272799454949312030145817788018755609199414620873809501905473531706632193767679014016077104152790551911827372814051075420720692549404211098624541313873364859684268739981301634593891141235452504473997624781299163214747609027712425069660188671355152074152470302796883597981520797409036030525478631332837781904873765737061196968578795618512283071168366958076910927327345502880062711035151193557071258722721278013668409515662053607918473097999799496210230192687701041678172931019383950793197878132065875651674457424792326317235708029164866207156513994157487928598310385827239271550079684915235288632315803612345679590457868111835293626111424550069338594490468812418191225888720275717191613691080528321414077256119452212395706171829299795170433081433572271027733411126809830831331059289520249189648753437576127845855984575217576294676507493861596771139872859998270217123817079535350312481830471576364810291362830270799621059656238334705683338068815885999760220731021977966574106229284431821735236819269323333714288855427324629271784357770098638254127930904475518401744004889270826618606574986264833954209221478030409041168133104271820635837899396248958387006050514018813576227940723694340241916359500471359670385828348583229129445215644206513051635938089688699653159645974423991797058062902819596878915375806533284493659337993968822728961603754051688012607770719564784210282254763260610653762513570302527545903577296072489189804793888242625311750086793725748910378271733988906398887731919593086417371271410914929358605504101960710354634313672901374435179025063904973491944000413629782220036725390275903952544251620215710641820919951249012613758707434605699002995941750037330513368971219900637805037766312847385320351425538673650128809301333053356913209461626225280431556233497488403139275711360795976054106839445450948519787425683823892067536545071379676659570635600498880372355127460364375265860461992281103469346918842223103058887592231791456138596167237272070437471591876394684944774388102032114957739005912707881782129911408085987221515867587002377587842461101185884266853008791929671211317111422174247516735469120130203256513408443490944558326534740329823448331848650591068444468653224925032248270885937838714623910025342463980777907678781485322204838921528817399779431709293613982514992018622981362354788830869306126436}
19271  17250308061745954962724530294824508673127134608175352290472971872850804: {77068,674065,808878,962950,1097193,1155540,1232576,1386648,1559979,1636165,1789041,1963398,2134641,2329129,2789365,3347238,3503318,3514881,4516465,4866961,5004740,5091445,5419758,5559493,5666065,5928692,6005688,6109734,6134689,6756399,6799278,7127281,7292721,7519321,7960945,8346254,8469560,8667769,9503078,9528255,9553134,9868945,9933121,10163472,10181830,10364241,10440565,11144161,11197681,11384193,11433906,11569838,11737921,11842734,11923220,12153265,12218196,12388628,12528678,12819073,13391461,13548241,13884782,14043241,14148015,14307864,14348593,14583918,14965369,15091216,15346393,15615572,15920230,16082132,16096347,16158133,16348561,16528340,16668289,16842875,16977618,17005508,17082865,17270689,17698040,18112201,18405445,18488678,18782965,19104276,19354630,19808193,19834008,19864174,19910295,20211450,20446921,20497990,20499438,21216398,21237648,21480134,21558880,21704881,21797365,22063412,22086534,22307960,22313259,22539558,22639982,23000276,23139993,23153881,23225556,23803621,23892354,24061250,24253740,24426565,24597588,24846452,25096455,25153141,25284308,25500601,25870656,25875169,26156838,26769552,26780134,27013478,27795445,28503188,28778552,28873500,29102065,29104488,29236009,29311878,29557921,30115746,30249793,30309140,30798400,31039561,31288532,31384238,31519160,31589893,32312902,32354121,32375871,32404633,32742549,32822113,32824465,33010165,33354534,33381445,33405841,33931189,33981681,34054501,34648200,34679665,34922478,34980841,35082049,35279841,35459055,36120440,36322561,36350996,36370968,36409334,36429430,36769861,36915854,36958080,36965641,37454965,37570489,37613941,37822992,37986289,38377815,38764801,38923544,38979225,39389358,39421952,39612198,40057734,40063969,40437921,40513652,40635495,40718840,40917339,40936336,40962116,41091433,41577840,41615598,41718801,42043393,42358676,42428372,42550866,42566854,42955796,43213990,43344528,43528945,43633641,43715316,43788987,43902433,44342230,44349696,44396833,44462072,44905881,44945958,44994865,45687875,45808695,45857793,45949393,46053378,46302934,46697761,46729081,46775070,46941908,47106001,47592169,47722630,47736565,47939089,47981473,48073263,48339908,48351254,48762594,48765795,48839918,48862608,49012945,49290961,49893408,49972630,50019831,50341201,50563352,51196465,51524438,51856788,52016848,52046708,52234734,52483849,52640761,53091201,53210676,53993838,54021332,54187993,54795476,54822865,54825450,54940321,54970434,55248788,55852441,56063989,56117221,56130084,56160481,56161268,56276654,56819793,56883771,57168193,57230075,57267156,57283878,57336901,57438201,57630694,57768711,57987238,58364193,58480480,58486321,58518954,58664089,58687621,58815534,59288241,59849012,59924209,59967156,60061990,60325393,60611960,60677281,61435758,61447393,61615796,61934581,62565445,62712673,63460945,63482341,63574761,64522801,64867273,65020011,65234521,65380628,65637382,65641990,65787438,65790540,66755830,67389265,67718775,68188455,68355721,68676090,68772275,68812945,69023793,69068372,69073220,69320504,69624921,69845509,69925161,70176576,70823636,70938734,71250855,71475445,72074388,72146521,72190921,72233360,72599329,72694424,72734352,72811076,73164334,73244953,73254496,73290121,73532038,73606340,73700641,73923574,74352440,74418932,74658565,74665815,74669041,75078534,75133102,75194798,75799736,75892945,76000912,76153134,76245265,76475793,76602721,77301265,77404775,77503321,77896261,77985567,78428758,78507073,78531445,78770388,78926840,78948648,79282022,79440152,79643536,79944901,80106996,80134993,80181649,80395220,80867118,81262530,81334808,81466041,81468695,81510865,81757250,81781227,81826146,81915704,82411308,82431673,82526730,82575534,82887864,82891009,83187049,83646495,84316393,84404859,85164934,85239993,85274703,85307521,85451749,85501026,85770534,85777783,85871365,86320081,86338033,86680032,86681830,86746695,87243409,87261445,87397748,87781990,87975721,88028512,88083793,88118193,88201633,88327608,88792695,88817229,88887875,89222928,89251071,89341765,89370171,89549193,89590278,89598978,90186433,90615769,90634021,91070965,91071534,91494318,91501659,92106565,92155167,92175430,92221798,92386561,92394993,92408918,92451445,92457428,92529808,92564761,92761518,92885730,93244521,93248847,94173445,94202158,94237734,94374201,94522681,94712208,95040814,95420533,95548165,95633972,95669173,95733121,96327721,96474264,96539641,96627908,96669752,96692372,97463001,97515036,97651030,97669652,97762434,97813038,98021793,98108700,98301061,98565481,98740921,98884393,99032076,99078112,99368559,99656965,...,70933119559541002179234424658237097823330231634174399129177756428669645433427154751808379863111163712620014483425647762432423360098964493487006348291142251966331106156823301332858952395368097796653392602719031169063616815194317279220416496425175180752810216876099984119910124838219750447969512891656407073068943445160148124604267065485830481683093093074271045104834373607496394158256029454998856587436832946954690563819217064702757193296355365439372678837449537717699834279482696447904585764490761053112080112106389455355857428095604325488692229079764223953830764589166517145763176019350973342720517699819608161428946837521267942196630758226838296442332114773431137602607958863789287424332142968420560523077094702813669327307301265657823359464447409199182423968045218726682028133413799121931310714252858210297559948290651518521024115656229185827867741059221076613131081038824106316647936811970810047289526403109971952451890836711853178756710996437171948744822121413541568637604490283007032728111228705454195325396972281196113554045788217946999256672857310648605591795452868193427768424606752550437115366390991018254320094066552726790335606888084081917020502614273493080411877709646999699244315345289031551562517259396529075926189796817198098813477511686137188489475853562043747299310734770991236231892897465578740858907325119527372852932948473705418518519385686802167752940439167136825104007891735703218627286838833080413575787420536620792482121115884179178318593559257743949692755649622150358406541600116690214746246996588934280373784473130156364191768783976862826364442014761240792395156709809289997405325685725619303025468722745707364547215437044245406199431589484357502058525007103223828999640331096532966949861159343926647732602855228903985000571433283140986943907676536655147957381191896356713277602616007333906239927909862479397250931313832217045613561752199656407730953756849094373437580509075771028220364341911085541510362874539250707039505578742522874843694167823466309769577453907134533049479739468961635987695587094354229395318373063709799926740489006990953234093442405631077532018911656079347176315423382144890915980643770355453791318855365944108733784707190832363937967625130190588623365567407600983359598331597879389629626056907116372394037908256152941065531951470509352061652768537595857460237916000620444673330055088085413855928816377430323565962731379926873518920638061151908548504493912625055995770053456829850956707556649469271077980527138308010475193213951999580035369814192439337920647334350246232604708913567041193964081160259168176422779681138525735838101304817607069514989355953400748320558532691190546562898790692988421655204020378263334654588331388347687184207894250855908105656207387814592027417161582153048172436608508869061822673194867112128980832273801380503566381763691651778826400279513187894506816975667133261371275103203680195304884770112665236416837489802110494735172497772975886602666702979837387548372406328906758071935865038013695971166861518172227983307258382293226099669147563940420973772488027934472043532183246303959189654}
19272  17318508880396076375000182902441182784498554706353438299259738749286941: {96335,115602,250367,423698,442727,788471,1018607,1078504,1133567,1171871,1213317,1444425,1462924,1540720,1707287,1733310,1848864,2079972,2088767,2266898,2385388,2507471,2617864,2846188,2887271,2945097,3414218,3644471,3682247,3795527,4100882,4329482,4462984,4586471,4686508,4999367,5014418,5020857,5149271,5254977,5560847,5698058,5934167,6255925,6678407,6789767,7049327,7226344,7288178,7410865,7507110,7514762,8007584,8129637,8146312,8157287,8871242,8893038,9001847,9008532,9065704,9096818,9164601,9367727,9723628,9772682,9805727,10133471,10198917,10222538,10586950,10678271,11076647,11221271,11792498,12519381,12704340,12737512,13204814,13339607,13355402,13551296,13578098,13589087,13818988,13909271,14228807,14254617,14329701,14904025,14971871,15132938,15148271,15178924,15245208,15272745,15289247,15465287,15485785,15790312,15816767,16239218,16290928,16704904,16866407,17150859,17354757,17562002,17764101,17770271,17884830,17978087,18327294,18582942,18599807,18634271,18793017,18864020,18944087,19077152,19115927,19321871,19445224,19519465,19536458,19835471,20040407,20102665,20381327,20483447,20660425,20827173,20846282,20857271,20891207,21256885,21281738,21461796,21875877,21905567,22073927,22122550,22174847,22208471,22367858,22636824,22678367,23079887,23213471,23380271,23423358,23880345,24123198,24313802,24376871,24707471,24792510,25168967,25174922,25181233,25389842,25466427,25472368,25508262,25563287,26348471,26381087,26410924,26445344,26478887,26547060,26836871,26948600,27031727,27332584,27355847,27579265,27614567,27733017,27884950,28316864,28483967,28656414,28750345,29031945,29283767,29448712,29751012,29761247,29796261,29856527,29869898,30052744,30205271,30259801,30317175,30395087,30504722,30710807,30746985,30749157,30853324,30967408,31058065,31182887,31277087,31465271,31559882,31605385,31809527,31824597,31856472,32220201,32338320,32557271,32681447,32796784,32836487,33095118,33129801,33207767,33461940,33485471,33793271,33809337,33959973,34058101,34077578,34130927,34222847,34494208,34495178,34500414,34838334,34875784,35502167,35593007,35628985,35692736,35774471,35804687,35819294,35838531,35895287,35952242,35973190,36091875,36256967,36380610,36896382,36988682,37195538,37245647,37269678,37886425,37926462,38136887,38196047,38314271,38498000,38805984,38904313,38932847,39082504,39110665,39167567,39235257,39398950,39635471,39781271,40072271,40154328,40170201,40246487,40333487,40391447,40520217,41084471,41709938,42371471,42541847,42726218,42754782,43051247,43131722,43138828,43167828,43310250,43642271,43656732,43967817,44142962,44212069,44242933,44344778,44472712,44730527,44896871,45007607,45150550,45173619,45308908,45438745,45463710,45476807,45514742,45998471,46154642,46197600,46355018,46381007,46563304,46750561,46816271,46932798,46951871,47039788,47076357,47278740,47519207,47599967,48002687,48190007,48430271,48469353,48494624,48654430,48748298,48802727,48946802,49067807,49120727,49277440,49358471,49463927,49858247,49910687,49989287,50031801,50430656,50642065,50898550,51030407,51120842,51170420,51185471,51202645,51208894,51469007,51546167,51972300,52339271,52383717,52519144,52691018,52694927,52720271,52816264,52872167,52886642,52948345,53035465,53410312,53451767,53602271,53694745,53852471,53917228,54057362,54126767,54180660,54526494,54556452,54573527,54614001,54644145,54746567,54820607,55189727,55336871,55373781,55437120,55487464,55577590,55605887,55625068,55679087,55703471,56334647,56576138,56696327,56734488,56792471,56936447,56961482,57271271,57509471,57792704,58178188,58287088,58336871,58385316,58548047,58677385,59038271,59084037,59132928,59177687,59418297,59642762,59732471,59824487,59874508,59927944,60076871,60086601,60214127,60424885,60442247,60655441,60770478,61078260,61099271,61121807,61143724,61234367,61404504,61443174,61905527,61972247,62194127,62326871,62366760,62423397,62484242,62569487,63204190,63421871,63508607,63538014,63607621,63642558,63746471,63826299,63850281,63940367,64097684,64262087,64433694,64820985,64900127,65016792,65021060,65058385,65150144,65293322,65572974,65656271,65864471,65968271,66324769,66402047,66500798,66513345,66524544,66607367,66668807,66693108,66974927,67418937,67517258,67521407,67526665,67882487,67922447,68002271,68280647,68437778,68494345,68695271,68714927,68773847,69060985,69080067,69142384,69300887,69397847,69454401,69510133,69646312,69688094,70051871,70147271,70162605,70201585,70268018,70412862,70451207,70715471,70788268,70903271,70947568,70996082,71071607,71167957,71540618,71554271,71572727,71583945,71676241,71721842,71830271,71991784,72090469,72268127,72394967,72445298,72449207,72509862,72526881,73076687,73100600,73143891,73259877,73293912,73705802,73711871,73816727,74129567,74491271,74811265,74840112,74849447,74900327,74958945,75018767,75170471,75254471,75271247,75605087,75759724,75764950,75845028,75919271,76205642,76263167,76356208,76378504,76383122,76409471,76490471,76584268,76748327,76876487,76988207,77019745,77024948,77035967,77286657,77743727,77785182,77818924,78025272,78070062,78298271,78352101,78420712,78526271,78601871,79028042,79050988,79116334,79203218,79493471,79701193,79816014,79942847,79956208,80014607,80271287,80356271,80425418,80440967,80497271,80707271,80790767,80860127,80947058,80963582,80990757,81031998,81244847,81475367,81515807,81529271,81716927,81725785,81914344,82074407,82126871,82159178,82193214,82205327,82238175,82244447,82331762,82455651,82676498,82695527,82708271,82847927,82873182,82898471,82961471,83199047,83335271,83446007,83750207,83954207,83989967,84001871,84167687,84195126,84241902,84250007,84343607,84414981,84425087,84501014,84586033,84586871,84701471,84766348,84769847,85162967,85207271,85361327,85632527,85750271,85814087,85856471,85900734,85925817,86003807,86016601,86092178,86263007,86335465,86341525,86446041,86466767,86567447,86650630,86693348,86716967,86937098,86980857,87058847,87274058,87539471,87548687,87622127,87713207,87716584,87720720,87778431,87999287,88078271,88113167,88223301,88242887,88413047,88448882,88463471,88529545,88596527,88637687,88670471,88864487,89192927,89306807,89441087,89587247,89705497,89744327,89765447,89773518,89904407,89950734,90013271,90092985,90153047,90211871,90291700,90365567,90496271,90526871,90563327,90611978,90729647,90868030,90917940,90983807,91013845,91048847,91231967,91247207,91297487,91371407,91564271,91568120,91602122,91649087,91657847,91701167,91739471,91797767,91862471,91931018,92000567,92007925,92031724,92051471,92153637,92185007,92217287,92352647,92369471,92383271,92385733,92407607,92410271,92423694,92446727,92449271,92464367,92484047,92507927,92555471,92568407,92574767,92599487,92626871,92638127,92645471,92665007,92750738,92754527,92765471,92766647,92770127,92782271,92802767,92806271,92811287,92813687,92821871,92831471,92833228,92841887,92843087,92845271,92852327,92852447,92940550,93023665,93233548,93240842,93403922,93568768,93710953,94749670,94807993,95001140,95188298,95882101,96099184,96795338,96979136,97690177,98070942,98456073,98462985,98658550,98681157,98685810,98704778,99300190,99554420,99809042,99934021,...,106399679339311503268851636987355646734995347451261598693766634643004468150140732127712569794666745568930021725138471643648635040148446740230509522436713377949496659235234951999288428593052146694980088904078546753595425222791475918830624744637762771129215325314149976179865187257329625671954269337484610609603415167740222186906400598228745722524639639611406567657251560411244591237384044182498284881155249420432035845728825597054135789944533048159059018256174306576549751419224044671856878646736141579668120168159584183033786142143406488233038343619646335930746146883749775718644764029026460014080776549729412242143420256281901913294946137340257444663498172160146706403911938295683931136498214452630840784615642054220503990960951898486735039196671113798773635952067828090023042200120698682896966071379287315446339922435977277781536173484343778741801611588831614919696621558236159474971905217956215070934289604664957928677836255067779768135066494655757923117233182120312352956406735424510549092166843058181292988095458421794170331068682326920498885009285965972908387693179302290141652636910128825655673049586486527381480141099829090185503410332126122875530753921410239620617816564470499548866473017933547327343775889094793613889284695225797148220216267529205782734213780343065620948966102156486854347839346198368111288360987679291059279399422710558127777779078530203251629410658750705237656011837603554827940930258249620620363681130804931188723181673826268767477890338886615924539133474433225537609812400175035322119370494883401420560676709695234546287653175965294239546663022141861188592735064713934996107988528588428954538203084118561046820823155566368109299147384226536253087787510654835743499460496644799450424791739015889971598904282843355977500857149924711480415861514804982721936071787844535069916403924011000859359891864793719095876396970748325568420342628299484611596430635273641560156370763613656542330546512866628312265544311808876060559258368113784312265541251735199464654366180860701799574219609203442453981543380641531344092977559595564699890110733510486429851140163608446616298028367484119020764473135073217336373970965655533180686978283048916163100677060786248545906951437695285882935048351111401475039397497396819084444439085360674558591056862384229411598297927205764028092479152806393786190356874000930667009995082632128120783893224566145485348944097069890310278380957091727862822756740868937583993655080185244776435061334974203906616970790707462015712789820927999370053054721288659006880971001525369348907063370350561790946121740388752264634169521707788603757151957226410604272484033930101122480837799036785819844348186039482632482806030567395001981882497082521530776311841376283862158484311081721888041125742373229572258654912763303592734009792300668193471248410702070755349572645537477668239600419269781841760225463500699892056912654805520292957327155168997854625256234703165742102758746659463829904000054469756081322558609493360137107903797557020543956750292277258341974960887573439839149503721345910631460658732041901708065298274869455938784481}
19273  17386977408925596008815745232120694441317714822825632829194916857137061: {19273,154136,173403,635547,943691,1348130,1617756,1828655,1925900,2194386,2290631,2311080,2465152,2599965,2752607,2773296,2981735,3119958,3272330,3400347,3557735,3578082,3905111,3926796,4269282,4658258,5121327,5578730,5751863,5858135,6151323,6213551,6323051,6494223,6557771,6694476,7006636,7029762,7128023,7250087,7521627,7932491,8403947,8547087,9032930,9090587,9733922,10009480,10182890,10243727,10839516,10932267,11118986,11145323,11260665,11272143,11332130,11739143,11857384,12011376,12088751,12154535,12219468,12269378,13233623,13306863,13339557,13512798,13598556,13645227,13703147,13816523,14044703,14254562,14585442,14616791,14659023,14966927,15038642,15333807,15695387,15880425,15921890,16350263,16670027,16692508,16939120,17014571,17151851,17272487,17273735,17335538,17688747,18461771,18973655,18995723,19006156,19056510,19106268,19698887,19737890,19807221,19866242,20033103,20326944,20363660,20367147,20609111,20728482,20881130,22288322,22395362,22699407,22768386,22867812,23139676,23475842,23580025,23685468,23806103,23846440,23916011,24164543,24306530,24358827,24436392,24777256,25057356,25638146,25651223,25767623,25877867,26296151,26343003,26604047,26782922,26827245,27096482,27490941,27769564,27874413,28086482,28296030,28615728,28697186,29167836,29304687,29561003,29930738,30182432,30516311,30692786,31231144,31269423,31840460,31922607,32164264,32192694,32316266,32697122,33013655,33056680,33183825,33336578,33551787,33685750,33934727,33955236,34011016,34165730,34197191,34541378,34551647,35085707,35135037,35306351,35396080,36184797,36224402,36271271,36470703,36810890,36977356,37188765,37565930,37617863,37762383,37990271,38084763,38208552,38262393,38566655,38709260,38768843,38913623,39616386,39668016,39728348,39820590,40422900,40483487,40742891,40893842,40995980,40998876,41095727,41827425,42432796,42475296,42926663,42960268,42984621,43117760,43409762,43594730,44126824,44173068,44217371,44401487,44615920,44626518,44804847,44892887,45079116,45279964,45757083,45954251,46000552,46214231,46279986,46307762,46451112,46734023,46930187,47339823,47348327,47607242,47784708,47986487,48122500,48507480,48551531,48853130,49195176,49642677,49692904,50192910,50306282,50568616,51001202,51116367,51741312,51742767,51750338,51750621,51759263,52257501,52313676,52436951,53539104,53560268,53728941,53923535,53928363,53959785,54026956,54570915,55188263,55208603,55344573,55483023,55590890,55793307,55904517,55995911,56636135,56655287,56889693,57006376,57174167,57557104,57747000,58204130,58208976,58472018,58623756,58799735,59081627,59098425,59115842,59930471,60133823,60231492,60499586,60563051,60618280,60940523,61110827,61596800,62026367,62079122,62564907,62577064,62719247,62768476,62992811,63038320,63179786,63963025,64089327,64132173,64625804,64697583,64708242,64751742,64809266,64965375,65485098,65592047,65644226,65648930,66020330,66214443,66517167,66709068,66762890,66811682,66831191,67396535,67725825,67862378,67963362,68109002,68195565,68272113,68618123,68689871,69231963,69296400,69330287,69359330,69531335,69532527,69844956,69961682,70164098,70399197,70559682,70918110,71557163,71675051,72240880,72607007,72645122,72701992,72722735,72741936,72818668,72858860,72981645,73122447,73252607,73420203,73539722,73831708,73916160,73931282,74843135,74909930,75140978,75227882,75645984,75972578,76347825,76429655,76681263,76752011,76755630,76813341,77095343,77529602,77847088,77958450,78778716,78843904,79036527,79224396,79329963,79384247,80115468,80122105,80127938,80143367,80634347,80875842,81027304,81086043,81270990,81276325,81437680,81789741,81834678,81872672,81924232,82182866,82440287,82899671,83155680,83231196,83366385,83437602,84086786,84717352,84856744,84864207,85101732,85133708,85225967,85316543,85442223,85799207,85911592,85914971,86427980,86689056,86903111,87057890,87060527,87196427,87267282,87430632,87577974,87591623,87804866,88485335,88684460,88699392,88793666,88845323,88924144,89372111,89464143,89620127,89811762,89891916,89989730,90195887,91155717,91279103,91375750,91617390,91715586,91898786,92106756,92164761,92605868,93395522,93458162,93550140,93726363,93883816,94212002,94344971,94699655,94806285,95184338,95307021,95445260,95463837,95473130,95730335,95878178,95962946,96146526,96281185,96338123,96406187,96650541,96679816,96702508,97273655,97525188,97531590,97679836,97725216,97939983,98025890,98311967,98359461,98581922,98813735,99751197,99786816,99945260,...,141866239119082004358468849316474195646660463268348798258355512857339290866854309503616759726222327425240028966851295524864846720197928986974012696582284503932662212313646602665717904790736195593306785205438062338127233630388634558440832992850350361505620433752199968239820249676439500895939025783312814146137886890320296249208534130971660963366186186148542090209668747214992788316512058909997713174873665893909381127638434129405514386592710730878745357674899075435399668558965392895809171528981522106224160224212778910711714856191208650977384458159528447907661529178333034291526352038701946685441035399639216322857893675042535884393261516453676592884664229546862275205215917727578574848664285936841121046154189405627338654614602531315646718928894818398364847936090437453364056266827598243862621428505716420595119896581303037042048231312458371655735482118442153226262162077648212633295873623941620094579052806219943904903781673423706357513421992874343897489644242827083137275208980566014065456222457410908390650793944562392227108091576435893998513345714621297211183590905736386855536849213505100874230732781982036508640188133105453580671213776168163834041005228546986160823755419293999398488630690578063103125034518793058151852379593634396197626955023372274376978951707124087494598621469541982472463785794931157481717814650239054745705865896947410837037038771373604335505880878334273650208015783471406437254573677666160827151574841073241584964242231768358356637187118515487899385511299244300716813083200233380429492493993177868560747568946260312728383537567953725652728884029522481584790313419618579994810651371451238606050937445491414729094430874088490812398863178968715004117050014206447657999280662193065933899722318687853295465205710457807970001142866566281973887815353073310295914762383792713426555205232014667812479855819724958794501862627664434091227123504399312815461907513698188746875161018151542056440728683822171083020725749078501414079011157485045749687388335646932619539154907814269066098959478937923271975391174188708458790636746127419599853480978013981906468186884811262155064037823312158694352630846764289781831961287540710907582637710731888217467569414381664727875935250260381177246731134815201966719196663195758779259252113814232744788075816512305882131063902941018704123305537075191714920475832001240889346660110176170827711857632754860647131925462759853747037841276122303817097008987825250111991540106913659701913415113298938542155961054276616020950386427903999160070739628384878675841294668700492465209417827134082387928162320518336352845559362277051471676202609635214139029978711906801496641117065382381093125797581385976843310408040756526669309176662776695374368415788501711816211312414775629184054834323164306096344873217017738123645346389734224257961664547602761007132763527383303557652800559026375789013633951334266522742550206407360390609769540225330472833674979604220989470344995545951773205333405959674775096744812657813516143871730076027391942333723036344455966614516764586452199338295127880841947544976055868944087064366492607918379308}
19274  17455714690656096238860252882084191698337051047200919126015666019539912: {134869,192670,231204,500734,711769,826933,847396,885454,1171993,1286869,1576942,2022195,2037214,2157008,2267134,2343742,2407375,2426634,2888850,2925848,3081440,3291579,3414574,3466620,3682633,3697728,4159944,4177534,4248373,4533796,4679937,4770776,4908495,5014942,5235728,5367123,5692376,5774542,5890194,6403923,6828436,6987387,7288942,7364494,7591054,8201764,8368095,8658964,8758295,8925968,9149269,9172942,9373016,9998734,10028836,10041714,10298542,10375211,10509954,10544643,11121694,11396116,11439193,11868334,12511850,12840853,13356814,13549395,13579534,13590553,13910773,14017369,14098654,14452688,14576356,14600883,14821730,15014220,15029524,15185173,15274335,16015168,16134169,16259274,16292624,16314574,16658869,16678479,16998195,17702869,17742484,17786076,18003694,18017064,18131408,18193636,18329202,18404067,18636313,18735454,19152373,19358293,19447256,19545364,19611454,19871833,20266942,20269197,20397834,20445076,20865635,20893513,21173900,21356542,21381843,21680099,21878163,21907993,22153294,22210933,22442542,22557963,23316169,23416213,23584996,23757695,23882835,25038762,25401973,25408680,25454575,25475024,25795669,26003307,26384053,26409628,26679214,26710804,27102592,27156196,27178174,27327251,27637976,27746869,27818542,28143731,28457614,28509234,28584765,28659402,28924595,29606835,29759639,29764633,29799363,29808050,29943742,30240373,30265876,30296542,30357848,30490416,30545490,30578494,30930574,30971570,31092169,31092723,31186453,31321695,31580624,31633534,31938133,32478436,32581856,32592073,33409808,33432483,33520153,33593043,33732814,34152579,34301718,34709514,34711955,34807369,35124004,35213763,35528202,35540542,35761583,35769660,35808853,35956174,36459795,36621769,36654588,37165884,37199614,37268542,37586034,37728040,37874713,37888174,38154304,38231854,38457219,38610971,38643742,38761033,38849269,38890448,38937433,39038930,39072916,39201493,39670942,39727669,39800575,40077013,40080814,40174383,40205330,40250483,40644723,40762654,40966894,41320850,41654346,41692564,41714542,41782414,42129723,42444045,42513770,42563476,42923592,43045779,43481291,43591369,43751754,43811134,44147854,44245100,44247539,44346613,44349694,44416942,44735716,44846869,44896107,44929993,45273648,45356734,46039179,46086169,46159774,46221695,46426942,46760542,46846716,46903369,47760690,48246396,48289041,48386575,48474399,48627604,48753742,48835273,49045683,49414942,49585020,49660435,49880579,50004867,50337934,50349844,50362466,50528625,50779684,50932854,50944736,50959093,51016524,51126574,51244975,51248595,51269269,51655369,51812067,52250627,52696942,52726873,52762174,52821848,52890688,52957774,53040995,53094120,53483593,53634073,53673742,53700335,53897200,54063454,54336603,54665168,54679369,54711694,54754931,55158530,55216335,55229134,55250663,55466034,55710553,55769900,55783669,56348895,56510869,56583193,56599955,56633728,56799733,56967934,57302473,57312828,57500690,57516853,58014553,58063890,58567534,58897424,59069173,59347669,59424579,59502024,59522494,59592522,59713054,59730885,59739796,60105488,60153125,60410542,60450133,60519602,60634350,60722869,60790174,61009444,61129813,61340763,61421614,61493970,61498314,61706648,61735369,61934816,62116130,62365774,62554174,62797513,62930542,63119764,63210770,63321673,63614243,63619054,63649194,63712944,63776533,63970393,64440402,64675669,64676640,65114542,65114643,65362894,65392095,65593568,65672974,65685973,65935669,66190236,66259602,66415534,66554869,66923880,66939777,66950335,66970942,67105993,67409653,67533695,67586542,67618674,67711513,67919946,68116202,68155156,68261854,68445694,68724373,68988416,68990356,69000828,69419979,69461643,69600793,69676668,69751568,70744153,70898891,70913173,71004334,71186014,71257970,71305033,71385472,71410863,71548942,71582773,71609374,71638588,71677062,71683703,71790574,71904484,71946380,72078169,72183750,72296473,72513934,72761220,72890869,73279695,73792764,73977364,74127683,74249651,74391076,74491294,74539356,75172643,75282133,75289365,75459423,75772850,75852924,76273774,76274293,76392094,76420633,76501803,76628542,76903753,76951669,76996000,77237653,77611968,77625507,77661769,77808626,77865694,78165008,78221330,78335134,78460595,78470514,78583369,78797900,79270942,79562542,79694869,80144542,80297653,80308656,80340402,80492974,80666974,80782255,80782894,81040434,81134293,81541813,81742873,82148339,82168942,82178869,82529113,82721173,83360713,83386335,83419876,83471413,83508169,83871769,84015193,84086473,84192853,84438553,84594839,84611893,84742942,84953173,85054153,85083694,85197827,85287253,85452436,85509564,85902169,86102494,86263444,86277656,86335656,86620500,86820169,87111769,87284542,87306195,87313464,87507913,87563353,87645973,87708027,87916693,87935634,88285924,88424138,88485866,88611673,88673763,88689556,88945424,89045833,89069269,89208373,89461054,89793742,90015214,90069493,90247369,90301100,90347238,90512473,90617816,90693193,90749379,90780853,90877490,90927420,90953614,91023335,91029484,91049269,91073575,91081739,91129369,91446133,91626313,91718293,91843573,91891669,91950169,91996942,92006869,92104393,92205913,92289635,92309284,92387353,92395200,92428213,92467273,92474869,92617753,92663833,92710036,92762014,92785333,92811253,92817013,92841493,92871193,92871733,93118683,93126608,93501122,93632542,93865596,93903742,94079576,94152714,94192319,94537331,94557480,94769679,95038414,95199934,95305771,95892083,96005374,96380014,96685379,96860542,96938706,96989248,97062363,97127613,97213899,97308860,97496596,97605454,97893604,98135614,98227647,98241454,98282219,98466339,98473395,98554880,98716942,98927854,99030495,99716494,99821374,99978574,...,212799358678623006537703273974711293469990694902523197387533269286008936300281464255425139589333491137860043450276943287297270080296893480461019044873426755898993318470469903998576857186104293389960177808157093507190850445582951837661249489275525542258430650628299952359730374514659251343908538674969221219206830335480444373812801196457491445049279279222813135314503120822489182474768088364996569762310498840864071691457651194108271579889066096318118036512348613153099502838448089343713757293472283159336240336319168366067572284286812976466076687239292671861492293767499551437289528058052920028161553099458824484286840512563803826589892274680514889326996344320293412807823876591367862272996428905261681569231284108441007981921903796973470078393342227597547271904135656180046084400241397365793932142758574630892679844871954555563072346968687557483603223177663229839393243116472318949943810435912430141868579209329915857355672510135559536270132989311515846234466364240624705912813470849021098184333686116362585976190916843588340662137364653840997770018571931945816775386358604580283305273820257651311346099172973054762960282199658180371006820664252245751061507842820479241235633128940999097732946035867094654687551778189587227778569390451594296440432535058411565468427560686131241897932204312973708695678692396736222576721975358582118558798845421116255555558157060406503258821317501410475312023675207109655881860516499241240727362261609862377446363347652537534955780677773231849078266948866451075219624800350070644238740989766802841121353419390469092575306351930588479093326044283722377185470129427869992215977057176857909076406168237122093641646311132736218598294768453072506175575021309671486998920993289598900849583478031779943197808565686711955001714299849422960831723029609965443872143575689070139832807848022001718719783729587438191752793941496651136840685256598969223192861270547283120312741527227313084661093025733256624531088623617752121118516736227568624531082503470398929308732361721403599148439218406884907963086761283062688185955119191129399780221467020972859702280327216893232596056734968238041528946270146434672747941931311066361373956566097832326201354121572497091813902875390571765870096702222802950078794994793638168888878170721349117182113724768458823196595854411528056184958305612787572380713748001861334019990165264256241567786449132290970697888194139780620556761914183455725645513481737875167987310160370489552870122669948407813233941581414924031425579641855998740106109442577318013761942003050738697814126740701123581892243480777504529268339043415577207514303914452821208544968067860202244961675598073571639688696372078965264965612061134790003963764994165043061552623682752567724316968622163443776082251484746459144517309825526607185468019584601336386942496821404141510699145291074955336479200838539563683520450927001399784113825309611040585914654310337995709250512469406331484205517493318927659808000108939512162645117218986720274215807595114041087913500584554516683949921775146879678299007442691821262921317464083803416130596549738911877568962}
19275  17524721772946059549841694811551237178592187278125616922971127651128017: {38546,289005,308272,346806,751101,1059245,1271094,1328181,1887382,2365413,2560117,2696260,3055821,3235512,3253081,3400701,3515613,3639951,3657310,3851800,4174429,4333275,4388772,4581262,4622160,4930304,4980829,5121861,5199930,5505214,5546592,5667245,5963470,6239916,6266301,6544660,6800694,6944557,7115470,7156164,7522413,7750093,7810222,7853592,8201389,8535545,8538564,8661813,8835291,9316516,10242654,10252205,10743421,10823705,10933413,11046741,11157460,11200013,11386581,11503726,11716270,12302646,12427102,12536045,12646102,12988446,13115542,13388952,13510957,13759413,14013272,14059524,14245145,14256046,14500174,14998101,15043254,15062571,15349589,15447813,15697021,15764931,15864982,16682541,16807894,17016349,17094174,17512253,17802501,18065860,18115973,18181174,18220445,18463693,18767775,18786905,19467844,19700941,20018960,20035221,20365780,20369301,20487454,21147981,21290093,21679032,21864534,22030429,22178105,22232595,22237972,22290646,22521330,22544286,22547789,22664260,22742045,23478286,23714768,24022752,24177502,24183229,24309070,24388911,24431705,24438936,24471861,24538756,25556345,26467246,26467375,26563117,26606821,26613726,26679114,27005541,27025596,27197112,27290454,27406294,27493803,27633046,28089406,28103181,28509124,29170884,29233582,29318046,29417181,29481245,29933854,30077284,30400413,30596751,30667614,31322573,31390774,31760850,31843780,32034813,32700526,32892569,33012035,33229941,33340054,33385016,33388505,33663813,33878240,33945245,34029142,34303702,34544974,34547470,34671076,35377494,36275053,36923542,37558143,37832345,37947310,37991446,38012312,38113020,38212536,39226661,39397774,39475780,39614442,39732484,40018821,40066206,40072373,40598045,40653888,40727320,40734294,40767261,41218222,41456964,41680313,41727813,41762260,42370829,42686421,42763851,42989103,43905005,44532809,44576644,44712075,44790724,44897593,44915613,45398814,45444813,45536772,45735624,45818235,45867741,46125341,46219117,46279352,46395861,46457355,46951684,47160050,47370936,47450301,47535389,47612206,47692880,47832022,47844121,48329086,48613060,48717654,48776453,48841145,48872784,49444217,49554512,49742261,50114712,50599221,51276292,51302446,51452577,51535246,51755734,52064271,52115705,52256893,52494893,52592302,52686006,53204345,53208094,53292303,53310813,53565844,53654490,53934261,53993317,54192964,54969893,54981882,55306375,55539128,55748826,55783493,55799421,55902813,55919645,56172964,56379051,56592060,56832261,57231456,57347781,57394372,57611573,57965613,58057397,58335672,58558395,58609374,59122006,59388317,59506413,59861476,59922701,60121221,60307995,60364864,60784505,61032622,61117213,61143981,61385572,61450341,61981275,62462288,62481519,62538846,62571813,62673621,62937305,63474605,63680920,63770655,63845214,63926909,64328528,64385388,64632532,65394244,65627631,65716701,66027310,66068189,66113360,66221781,66367650,66524541,66625413,66673156,66685517,67103574,67371500,67869454,67910472,68022032,68035101,68331460,68394382,68697049,69082756,69103294,69239661,69640413,69712375,69823741,70140813,70171414,70270074,70612702,70792160,71641035,72206189,72369594,72448804,72542542,72941406,73130613,73431413,73440629,73621780,73954712,74122413,74377530,74674745,75131860,75235726,75492949,75506901,75524766,75543699,75915341,75980542,76169526,76261805,76399281,76417104,76524786,76689861,77133310,77418520,77537686,77827246,78523541,78899705,79045413,79143261,79232772,79290589,79336032,79436661,79456696,79641180,80058437,80510613,80845800,80966974,81095181,81485782,81787684,81991960,81997752,82067541,82191454,82319629,82737795,82843701,83015369,83199051,83654850,84192461,84865592,84950592,85193945,85234873,85451901,85808281,85853326,85920536,85923949,85969242,86235520,86237945,86251035,86819524,87095835,87189460,87851301,88253648,88346136,88434742,88587593,88802974,89231840,89253036,89283741,89388783,89548235,89569581,89609694,89785774,89880605,89932975,90158232,90559928,90615813,90779403,90951525,91185261,91514166,91908502,92001104,92132421,92240955,92247471,92399597,92428462,92471705,92559972,92615524,92896429,92902224,92988845,93174195,93468046,93548661,93831261,93860374,94355149,94395813,94679646,94696654,94816155,95214484,95350013,95428581,95473791,95569416,95689241,95972974,96159509,96245000,96416293,96560189,96660603,97014960,97103062,97343869,97671813,97706260,98044341,98390352,98497375,98509461,99285354,99385808,99389403,99623301,99886477,...,319199038017934509806554910962066940204986042353784796081299903929013404450422196383137709384000236706790065175415414930945905120445340220691528567310140133848489977705704855997865285779156440084940266712235640260786275668374427756491874233913288313387645975942449928539595561771988877015862808012453831828810245503220666560719201794686237167573918918834219702971754681233733773712152132547494854643465748261296107537186476791162407369833599144477177054768522919729649254257672134015570635940208424739004360504478752549101358426430219464699115030858939007792238440651249327155934292087079380042242329649188236726430260768845705739884838412020772333990494516480440119211735814887051793409494643357892522353846926162661511972882855695460205117590013341396320907856203484270069126600362096048690898214137861946339019767307931833344608520453031336225404834766494844759089864674708478424915715653868645212802868813994873786033508765203339304405199483967273769351699546360937058869220206273531647276500529174543878964286375265382510993206046980761496655027857897918725163079537906870424957910730386476967019148759459582144440423299487270556510230996378368626592261764230718861853449693411498646599419053800641982031327667284380841667854085677391444660648802587617348202641341029196862846898306469460563043518038595104333865082963037873177838198268131674383333337235590609754888231976252115712968035512810664483822790774748861861091043392414793566169545021478806302433671016659847773617400423299676612829437200525105966358111484650204261682030129085703638862959527895882718639989066425583565778205194141804988323965585765286863614609252355683140462469466699104327897442152679608759263362531964507230498381489934398351274375217047669914796712848530067932502571449774134441247584544414948165808215363533605209749211772033002578079675594381157287629190912244976705261027884898453834789291905820924680469112290840969626991639538599884936796632935426628181677775104341352936796623755205598393963098542582105398722658827610327361944630141924594032278932678786694099670332200531459289553420490825339848894085102452357062293419405219652009121912896966599542060934849146748489302031182358745637720854313085857648805145053334204425118192492190457253333317256082023675773170587152688234794893781617292084277437458419181358571070622002792001029985247896384362351679673698436456046832291209670930835142871275183588468270222606812751980965240555734329305184004922611719850912372122386047138369462783998110159164163865977020642913004576108046721190111051685372838365221166256793902508565123365811271455871679231812817452101790303367442513397110357459533044558118447897448418091702185005945647491247564592328935524128851586475452933245165664123377227119688716775964738289910778202029376902004580413745232106212266048717936612433004718801257809345525280676390502099676170737964416560878871981465506993563875768704109497226308276239978391489712000163409268243967675828480080411323711392671061631870250876831775025924882662720319517448511164037731894381976196125705124195894824608367816353443}
19276  17593999707206376365510205836786469748446679700278803792625459253239324: {57819,269738,327403,385340,462408,520209,1001468,1423538,1653866,1694792,1770908,1906641,2165419,2343986,2573738,2622043,2831073,3153884,3370325,3758563,4044390,4074428,4314016,4534268,4549843,4687484,4814750,4853268,5000419,5485965,5777700,5851696,6010003,6162880,6583158,6791203,6829148,6871893,6933240,7365266,7395456,7799895,8180825,8257821,8319888,8355068,8496746,8945205,9003763,9067592,9359874,9442819,9541552,9816990,10029884,10201041,10426483,10471456,10535419,10673205,10734246,11384752,11549084,11645645,11715333,11780388,12261613,12268603,12699019,12807846,13656872,13946825,13974774,14302819,14577884,14728988,15182108,15363981,15890419,16403528,16736190,17255589,17317928,17357563,17516590,17574405,17851936,18298538,18345884,18453969,18603883,18640653,18746032,18969153,19482669,19673313,19997468,20057672,20083428,20597084,20750422,21019908,21089286,21384069,21471643,21750261,21977803,22179763,22243388,22564881,22582325,22792232,22878386,23185243,23685283,23736668,23797473,24334805,24481603,24580819,25023700,25211841,25457225,25641261,25667443,25681706,26452243,26550019,26713628,27098790,27159068,27181106,27271761,27797465,27821546,28034738,28197308,28330325,28394083,28586683,28905376,29152712,29201766,29211889,29354203,29643460,29831563,30028440,30059048,30370346,30548670,30673445,30731181,31252843,32030336,32268338,32518548,32585248,32629148,32796801,32844043,33260773,33317738,33356958,33435969,33770323,33781995,33816429,33996390,35217429,35405738,35484968,35572152,35601283,35636405,35873443,36007388,36034128,36262816,36266253,36387272,36463605,36658404,36808134,36865819,37272626,37470908,37596605,38205019,38304746,38716586,38894512,39000763,39090728,39222908,39528019,39570509,39615643,39700869,39743666,39804725,39920589,40018671,40401019,40494433,40533884,40538394,40795668,40890152,40935681,41109441,41180563,41449569,41731270,41787026,42134109,42263689,42347800,42713084,42763686,43338845,43360198,43756326,43815986,43850373,43977069,44156683,44306588,44421866,44885084,44900781,45115926,45156763,45982243,46001421,46632338,46719019,46832426,47086161,47169992,47515390,47641275,47765670,47853523,48255283,48596737,49050789,49132819,49344725,49665605,49923019,50001643,50010081,50077524,50628043,50803946,50817360,50909150,50950048,51043713,51455553,51481819,51559003,51591338,51817461,51821205,52006614,52202825,52768106,52819256,53066241,53358428,53421608,53519873,53841043,54205184,54312392,54356348,54654502,54809803,55275952,55385313,55493738,55546723,55637084,55693243,55720805,55988405,56287462,56349019,56915228,56920965,56987169,57018468,57169530,57318804,57849190,58563163,58689605,58843819,59096661,59193019,59213670,59421663,59519278,59529266,59540419,59598726,59616100,59887484,60099309,60161203,60480746,60503563,60531752,60593084,60715696,60766325,60979843,60980832,61090980,61101441,61135349,61156988,61182883,61250419,61654123,61750741,61827333,61861148,61943140,62184338,62185446,62372906,62519923,62643390,62652043,63161248,63267068,63876266,63957403,64095365,64710373,64790443,64956872,65163712,65184146,65422963,65548603,66110419,66420019,66666403,66727819,66819616,66864966,66957305,67040306,67186086,67465628,67741205,67881043,67941019,68000923,68098221,68305158,68603436,68832019,69358843,69419028,69423910,69524609,69614738,70216205,70248008,70338043,70427526,70740075,71056404,71081084,71128819,71418309,71523166,71539320,71617706,71742965,71748033,71912348,72288523,72493629,72919590,73076481,73097443,73243538,73309176,73890163,74150803,74257393,74331768,74399228,74537084,74826845,74871019,74921923,75074203,75172068,75180469,75456080,75577123,75749426,75776348,75924883,76308608,76463708,76731965,76914438,76953669,77042683,77221942,77287484,77302869,77522066,77633601,77698538,77780896,77874866,78077860,78145832,78214483,78260419,78402986,78760963,78888453,79029009,79208443,79239937,79341884,79455338,79601150,79812141,79995763,80154026,80161628,80295643,80348766,80410660,80465419,80481735,80500966,80790665,80884819,81289446,81525308,81540883,81742805,81862003,81901819,81933788,82099819,82139203,82472823,82641700,83308692,83341445,83385128,83429084,83435419,83564828,83623239,84214375,84259446,84475243,84717163,84853819,84888090,85027540,85126952,85190419,85388923,85414325,85649563,85847184,86000419,86091558,86342563,86353445,86585923,86962582,87182738,87457483,87503508,87622268,87651523,87914061,88264243,88295708,88315723,88490200,88495078,88568803,88643323,88683009,88693226,88699388,88833884,88911019,89239123,89352883,89471432,89487019,89618563,89693738,89704819,89789923,89792214,89811019,89859986,89894683,90547296,90561005,90577603,90713468,90877483,91027819,91092763,91326043,91414819,91429363,91548933,91678843,91692019,91832203,91940419,91952083,92027225,92078358,92097163,92172338,92220283,92268523,92319548,92394019,92435419,92443390,92520163,92640043,92674819,92707003,92731843,92843083,92850643,92853884,92863819,92880019,92888443,93521084,93693432,93730469,93806738,93808269,93914825,94547173,95315693,95521380,95767821,96492792,96578082,96773150,96948798,97255208,97507484,97670546,98091366,98829884,99040965,99170040,99320870,99551475,99761158,99954833,...,425598717357246013075406547949422586939981389805046394775066538572017872600562928510850279178666982275720086900553886574594540160593786960922038089746853511797986636940939807997153714372208586779920355616314187014381700891165903675322498978551051084516861301256599904719460749029318502687817077349938442438413660670960888747625602392914982890098558558445626270629006241644978364949536176729993139524620997681728143382915302388216543159778132192636236073024697226306199005676896178687427514586944566318672480672638336732135144568573625952932153374478585343722984587534999102874579056116105840056323106198917648968573681025127607653179784549361029778653992688640586825615647753182735724545992857810523363138462568216882015963843807593946940156786684455195094543808271312360092168800482794731587864285517149261785359689743909111126144693937375114967206446355326459678786486232944637899887620871824860283737158418659831714711345020271119072540265978623031692468932728481249411825626941698042196368667372232725171952381833687176681324274729307681995540037143863891633550772717209160566610547640515302622692198345946109525920564399316360742013641328504491502123015685640958482471266257881998195465892071734189309375103556379174455557138780903188592880865070116823130936855121372262483795864408625947417391357384793472445153443950717164237117597690842232511111116314120813006517642635002820950624047350414219311763721032998482481454724523219724754892726695305075069911561355546463698156533897732902150439249600700141288477481979533605682242706838780938185150612703861176958186652088567444754370940258855739984431954114353715818152812336474244187283292622265472437196589536906145012351150042619342973997841986579197801699166956063559886395617131373423910003428599698845921663446059219930887744287151378140279665615696044003437439567459174876383505587882993302273681370513197938446385722541094566240625483054454626169322186051466513249062177247235504242237033472455137249062165006940797858617464723442807198296878436813769815926173522566125376371910238382258799560442934041945719404560654433786465192113469936476083057892540292869345495883862622132722747913132195664652402708243144994183627805750781143531740193404445605900157589989587276337777756341442698234364227449536917646393191708823056112369916611225575144761427496003722668039980330528512483135572898264581941395776388279561241113523828366911451291026963475750335974620320740979105740245339896815626467883162829848062851159283711997480212218885154636027523884006101477395628253481402247163784486961555009058536678086831154415028607828905642417089936135720404489923351196147143279377392744157930529931224122269580007927529988330086123105247365505135448633937244326887552164502969492918289034619651053214370936039169202672773884993642808283021398290582149910672958401677079127367040901854002799568227650619222081171829308620675991418501024938812662968411034986637855319616000217879024325290234437973440548431615190228082175827001169109033367899843550293759356598014885383642525842634928167606832261193099477823755137924}
19277  17663549548915912023561398093596407054524507853957006433582290302439503: {77092,404607,481675,578010,616544,693612,1251835,1482943,1502202,2118490,2135307,2213635,2480799,2542188,2656362,3515979,3599563,3774764,3860607,3942355,4730826,5093035,5120234,5392520,5667835,5859355,6066585,6111642,6136603,6471024,6506162,6801402,7031226,7222125,7279902,7314620,7521667,7703600,7934143,8348858,8536435,8666550,8777544,9162524,9244320,9480883,9860608,9874737,9936223,9961658,10173199,10243722,10399860,10443835,11010428,11047899,11093184,11201179,11334490,11926940,11949763,12465343,12479832,12532602,12537355,12745119,13089320,13236379,13395643,13601388,13889114,14039811,14230940,14312328,14353087,14436355,14725485,15044826,15153187,15351187,15500186,15620444,15707184,16101369,16163179,16402778,17071090,17077128,17155423,17305507,17323626,17514079,17550463,17670582,18117859,18222355,18411235,18633032,18977635,18999679,19211769,19943203,20485308,20504410,20613403,20696299,20762767,20962161,21486842,21647410,21711679,21866826,22093482,22314920,22400026,22773162,22837123,22932355,22969243,23007452,23432540,24605292,24854204,24996835,25072090,25104285,25161019,25292204,25508623,25746355,25760083,25976892,26231084,26274885,26301667,26647387,26737183,26777904,27021914,27447807,27518826,27804235,28026544,28119048,28490290,28512092,29000348,29670835,29996202,30086508,30125142,30699178,30895626,31049347,31125633,31279625,31325839,31394042,31529862,31599787,31633929,31729964,31838863,32204899,33365082,33392035,33543907,33615788,33948835,34032698,34188348,34204387,34317579,35024506,35246635,35605002,35778883,36131720,36231946,36362348,36440890,36762283,36927386,37054325,37268683,37535550,37573810,37582303,38522559,38935688,39401882,40037920,40070442,40491979,40648185,40731560,40738602,40771659,40786435,40974908,41273743,41322523,41684659,41732319,41872123,42052107,42295962,42375247,42580186,42739267,43358064,43713499,43729068,43802649,44060858,44356210,44465190,44475944,44581292,45009235,45042660,45088572,45095578,45182923,45328520,45484090,45555519,45823005,46216849,46743907,46838635,46956572,47358259,47429536,47523343,47954203,48045504,48355004,48366458,48402507,48618140,48777822,48863410,48877872,48943722,49028635,49077512,49306399,49747459,49771963,49976607,50035437,50667355,50994585,51112690,52854163,52934492,52934750,52965283,53108607,53126234,53213642,53227452,53358228,53391355,53738443,54011082,54051192,54394224,54580908,54812588,54987606,55212201,55266092,55383235,55908939,56106355,56134867,56178187,56178812,56206362,56837263,57018248,57354859,57457119,57644899,58063483,58074879,58341768,58467164,58504639,58636092,58706083,58831147,58834362,58962490,59394523,59615499,59867708,60154568,60344287,60498379,60800826,60807591,61149979,61193502,61335228,61467007,61917043,61953979,62039419,62049523,62596905,62645146,62680539,62781548,63484063,63521700,63687560,64024543,64069626,64145529,64887679,64964419,65040297,65401052,65634489,65723979,65727667,65785138,66024070,66459882,66632799,66680108,66698035,66770032,66777010,67327626,67673889,67756480,67890490,67945435,68026507,68058284,68377603,68607404,68946043,69089948,69094940,69342152,69546355,69948507,70248639,70422643,70754988,71144035,71273085,71522443,71648505,72169267,72213823,72550106,72622363,72961987,73313167,73439179,73847084,74087683,74486083,74520125,74859355,75116286,75664690,75741355,75894620,75923299,75982892,76024624,76115803,76205919,76226040,76295263,76363725,76425072,76446235,77326435,77387007,77428925,78009921,78080587,78287503,78453322,78795548,78951560,79083835,79152159,79228884,79400899,79464968,80037642,80066803,80132412,80144746,81111403,81196090,81307776,81454640,81468588,81534522,81981753,82080703,82400923,82436444,82913928,83240607,83360626,83455626,83524520,84201259,84332035,84431193,84741658,85098307,85334587,85372842,85527702,85754295,85978206,86773785,86782579,87810010,88112227,88820505,88851355,88864447,89065618,89153288,89206879,89278917,89293899,89398089,89424150,89581448,89795186,89831226,89890435,90662683,90721119,90797628,90889626,91044223,91073544,91471248,91636470,91735482,92250682,92409283,92438234,92558704,92781883,92791722,92908939,92914710,92999035,93171355,93276507,93278169,93559359,93903368,93965085,94320100,94720435,94741872,94900602,95070778,95224412,95385760,95579635,95664044,95688242,95763679,95814399,96609355,96658172,97226120,97435308,97552906,97597325,97609999,97682290,97745568,97776219,97956883,98771983,98888434,98987179,98988703,99109024,99177355,99484522,...,638398076035869019613109821924133880409972084707569592162599807858026808900844392766275418768000473413580130350830829861891810240890680441383057134620280267696979955411409711995730571558312880169880533424471280521572551336748855512983748467826576626775291951884899857079191123543977754031725616024907663657620491006441333121438403589372474335147837837668439405943509362467467547424304265094989709286931496522592215074372953582324814739667198288954354109537045839459298508515344268031141271880416849478008721008957505098202716852860438929398230061717878015584476881302498654311868584174158760084484659298376473452860521537691411479769676824041544667980989032960880238423471629774103586818989286715785044707693852325323023945765711390920410235180026682792641815712406968540138253200724192097381796428275723892678039534615863666689217040906062672450809669532989689518179729349416956849831431307737290425605737627989747572067017530406678608810398967934547538703399092721874117738440412547063294553001058349087757928572750530765021986412093961522993310055715795837450326159075813740849915821460772953934038297518919164288880846598974541113020461992756737253184523528461437723706899386822997293198838107601283964062655334568761683335708171354782889321297605175234696405282682058393725693796612938921126087036077190208667730165926075746355676396536263348766666674471181219509776463952504231425936071025621328967645581549497723722182086784829587132339090042957612604867342033319695547234800846599353225658874401050211932716222969300408523364060258171407277725919055791765437279978132851167131556410388283609976647931171530573727229218504711366280924938933398208655794884305359217518526725063929014460996762979868796702548750434095339829593425697060135865005142899548268882495169088829896331616430727067210419498423544066005156159351188762314575258381824489953410522055769796907669578583811641849360938224581681939253983279077199769873593265870853256363355550208682705873593247510411196787926197085164210797445317655220654723889260283849188064557865357573388199340664401062918579106840981650679697788170204904714124586838810439304018243825793933199084121869698293496978604062364717491275441708626171715297610290106668408850236384984380914506666634512164047351546341174305376469589787563234584168554874916838362717142141244005584002059970495792768724703359347396872912093664582419341861670285742550367176936540445213625503961930481111468658610368009845223439701824744244772094276738925567996220318328327731954041285826009152216093442380222103370745676730442332513587805017130246731622542911743358463625634904203580606734885026794220714919066089116236895794896836183404370011891294982495129184657871048257703172950905866490331328246754454239377433551929476579821556404058753804009160827490464212424532097435873224866009437602515618691050561352781004199352341475928833121757743962931013987127751537408218994452616552479956782979424000326818536487935351656960160822647422785342123263740501753663550051849765325440639034897022328075463788763952392251410248391789649216735632706886}
19278  17733372357637133120377494700088413551121209949159752961444516137380707: {96365,115638,211937,365921,539476,558221,654806,770680,788717,867015,903857,924816,1040418,1133921,1287137,1363697,1860557,2002936,2253303,2622317,2660321,2847076,3001997,3177735,3307732,3389584,3541816,3645617,3758957,3796721,3813282,3984543,4324577,4330838,4587917,4687972,4718455,5113421,5147476,5244086,5263277,5662146,6271457,6307768,6740650,6791921,6940337,7096239,7162721,7517126,7680351,7717421,7901921,8088780,8148856,8270321,8628032,9068536,9099686,9143275,9167463,9224417,9374968,9629500,9706536,9759243,9772397,10000838,10202103,10245857,10546839,10790477,10919853,10971617,10971930,11188721,11333297,11453155,11513837,11555400,11703392,11946317,12020006,12305837,12325760,12523287,12843617,12999825,13166316,13582406,13658296,13700321,13743786,13763035,13866480,14020397,14091437,14729357,14730532,14790912,14908675,14942487,15153197,15258977,15365583,15470321,15599790,16137677,16207757,16303903,16361650,16515642,16639776,16662497,16710136,16732337,16993492,17001735,17185517,17706737,17776097,17788675,17880077,17890410,18007526,18122417,18135184,18433421,18640397,18719748,18798903,18885638,19083104,19122221,19328237,19525555,19633980,19773617,19944557,20059768,20149421,20402082,20490221,20833671,20852966,20864177,20942912,21070838,21346410,21372557,21468492,21710477,21980237,22182221,22215857,22316717,22567239,22769504,23098168,23187821,23221217,23250279,23291290,23321357,23388077,23430666,23488097,23560776,23687921,23721197,24484337,24523226,24537206,24604167,25398038,25473377,25606635,25615692,25670321,25866977,25985439,26194097,26455217,26487821,26505873,27170657,27313744,27462221,27817697,27893650,27949548,28236557,28429421,28589921,28605638,28621997,28759315,29155768,29290675,29389421,29457976,29834957,29866721,30025421,30364216,30727962,30756615,30815921,31067755,31256417,31287821,31476077,31615255,31632737,31780838,32195057,32230263,32413037,32471115,32661677,32788855,32800239,32807056,32847821,33033677,33140223,33472380,33600039,33804977,34068727,34159743,34234721,34357217,34511178,34635856,34715126,35033180,35148810,35150321,35605421,35640115,35703872,35877617,35907821,36239537,36250435,36597076,36690317,36691768,36907938,36989837,37207766,37258721,37281306,37492064,37608135,37938306,38120717,38327777,38563937,38916451,38965338,39005357,39346626,39649517,39662455,39737057,39795377,39882797,39994936,40115344,40166856,40173677,40347821,40492721,40532871,41185457,41194168,41278239,41472737,41500844,42019735,42039816,42178572,42386657,42642221,42735435,42768138,42942823,42943286,43066721,43500522,43601837,43657997,43955606,44022257,44189921,44225863,44357297,44359526,44486776,44913137,44994303,45129762,45164650,45187713,45189857,45438221,45452935,45584464,45756772,46015217,46048767,46097357,46152077,46343439,46370486,46765147,46833377,46914797,46969037,47091063,47294793,47370566,47455757,47473336,47594946,47617421,47725037,48020321,48669610,48963206,48979937,49161638,49482221,49640237,49890967,50007821,50047400,50047623,50423682,50634317,50914450,51023537,51049047,51204557,51218635,51282017,51282522,51333617,51334886,51363412,51565421,51668237,51719597,52358897,52536759,52635247,52816097,52904486,52967921,53100038,53407503,53427256,53471921,53622497,53847821,53872817,54197580,54318136,54347919,54362212,54543522,54661335,54742637,54841421,55112417,55357937,55391079,55431437,55578221,55594930,55643092,55700321,55724717,55726615,55797857,56069476,56303325,56360715,56394616,56525297,56645837,56660650,56788166,56814257,56886317,57149921,57173366,57293297,57364877,57602957,57745421,57810752,57863921,57958577,58305424,58403532,58423778,58429937,58695715,58708406,59102823,59286920,59409377,59663126,59709677,60056880,60105663,60118096,60169037,60191921,60306221,60443755,60511457,60674383,60740692,60772675,60987821,61097340,61107903,61123277,61190897,61325921,61346890,61462362,61684577,61996721,62130017,62505686,62550221,62660321,62857997,63076877,63250759,63338477,63443943,63512237,63870279,63987437,64060672,64536676,64692977,64820321,64926221,65037096,65170496,65258296,65368817,65557421,65593602,65688086,65953457,65994977,66057197,66091287,66168115,66305357,66521546,66534315,66572897,66635476,66695921,66697785,66713916,66871938,66981857,67124237,67540646,67563990,67632858,67643367,67729997,67910321,67992780,68010221,68030177,68089997,68226135,68327743,68515735,68723597,68802221,69082615,69095921,69387821,69484721,69531847,69658637,69793457,70176497,70223515,70233677,70347821,70434858,70537421,70745057,70801517,70811476,70932977,70969936,70989197,71144304,71202566,71272810,71746886,72014776,72068256,72134957,72250867,72316877,72479921,72525632,72532506,72549687,72774544,72927210,72947297,73083955,73166733,73178957,73295115,73316808,73415583,73444577,73616268,73731638,73900721,73918157,74489057,74545252,74834635,74932721,74941816,75101921,75193210,75253517,75354221,75538097,75604721,75935921,75952397,76001777,76247597,76345421,76410038,76442957,76524017,76609492,76669035,77006177,77069921,77402477,77433172,77481137,77715917,77789024,78001526,78009127,78010721,78103217,78180077,78181456,78333197,78378977,78383767,78445816,78476935,78606797,78637037,78682337,78772721,78787757,78907757,79056038,79141018,79220321,79231286,79401738,79402125,79487332,79529357,79573217,79609450,79689351,79747937,79820463,79841178,79878221,79935917,80037342,80322017,80392877,80604257,80744177,80802038,80988866,81016623,81067768,81076788,81282221,81553421,81566897,81591336,81607277,81751315,81754721,81780304,81834737,81871362,82007117,82151921,82165037,82165447,82204337,82218882,82282721,82347821,82361126,82481409,82734221,82861421,82899138,83188397,83350135,83462540,83558957,83574052,83717297,83789921,83898317,84029921,84207821,84268218,84278477,84309543,84325421,84488717,84527378,84627437,84695600,84742157,84799217,85002977,85072855,85081517,85170797,85237421,85402721,85426168,85527372,85674221,85759255,85824077,85930157,85951277,86043463,86087777,86150321,86362435,86368675,86569997,86610221,86677690,86720396,86759921,86848877,86995697,87102221,87140717,87425357,87472097,87481421,87512652,87631972,87675377,87700746,87757421,87946337,87954138,88122977,88149197,88236077,88251543,88287821,88313366,88330721,88443735,88533857,88583921,88592237,88613176,88658477,88707821,88837997,88843732,89076557,89115617,89146721,89254577,89375921,89487821,89677517,89733511,89770168,89770337,89801562,89812721,89979377,90054221,90231852,90279437,90313526,90350321,90482957,90544877,90593837,90684257,90725837,90813617,90865421,90893921,90899597,90927857,91093217,91194221,91201239,91297421,91342817,91347821,91421921,91451057,91489457,91700321,91790253,91886177,91926257,91964486,91984877,91992557,92002842,92007821,92063921,92114657,92170721,92237921,92241197,92286221,92308855,92344817,92423117,92510897,92515937,92583137,92629421,92648177,92658317,92706017,92716721,92725421,92750321,92751917,92802737,92819117,92826221,92838497,92841677,92848817,92861921,92862797,92870321,92878637,92880737,92888417,92890157,92893937,92900321,92908877,92910221,93264676,93438038,93664852,93740227,93967719,94172322,94339984,94837687,94868275,94978615,95030780,95282550,95531340,95707046,96104439,96510566,97193474,98101578,98265638,98302687,98494435,98677707,98689450,99036105,99331210,99689823,99846038,99965239,...,957597114053803529419664732886200820614958127061354388243899711787040213351266589149413128152000710120370195526246244792837715361336020662074585701930420401545469933117114567993595857337469320254820800136706920782358827005123283269475622701739864940162937927827349785618786685315966631047588424037361495486430736509661999682157605384058711502721756756502659108915264043701201321136456397642484563930397244783888322611559430373487222109500797433431531164305568759188947762773016402046711907820625274217013081513436257647304075279290658394097345092576817023376715321953747981467802876261238140126726988947564710179290782306537117219654515236062317001971483549441320357635207444661155380228483930073677567061540778487984535918648567086380615352770040024188962723568610452810207379801086288146072694642413585839017059301923795500033825561359094008676214504299484534277269594024125435274747146961605935638408606441984621358100526295610017913215598451901821308055098639082811176607660618820594941829501587523631636892859125796147532979618140942284489965083573693756175489238613720611274873732191159430901057446278378746433321269898461811669530692989135105879776785292692156585560349080234495939798257161401925946093983001853142525003562257032174333981946407762852044607924023087590588540694919408381689130554115785313001595248889113619533514594804395023150000011706771829264664695928756347138904106538431993451468372324246585583273130177244380698508635064436418907301013049979543320852201269899029838488311601575317899074334453950612785046090387257110916588878583687648155919967199276750697334615582425414964971896757295860590843827757067049421387408400097312983692326458038826277790087595893521691495144469803195053823125651143009744390138545590203797507714349322403323742753633244844497424646090600815629247635316099007734239026783143471862887572736734930115783083654695361504367875717462774041407336872522908880974918615799654810389898806279884545033325313024058810389871265616795181889295627746316196167976482830982085833890425773782096836798036360082299010996601594377868660261472476019546682255307357071186880258215658956027365738690899798626182804547440245467906093547076236913162562939257572946415435160002613275354577476571371759999951768246071027319511761458064704384681344851876252832312375257544075713211866008376003089955743689153087055039021095309368140496873629012792505428613825550765404810667820438255942895721667202987915552014767835159552737116367158141415108388351994330477492491597931061928739013728324140163570333155056118515095663498770381707525695370097433814367615037695438452356305370910102327540191331072378599133674355343692345254275106555017836942473742693776986806572386554759426358799735496992370131681359066150327894214869732334606088130706013741241235696318636798146153809837299014156403773428036575842029171506299028512213893249682636615944396520980691627306112328491678924828719935174469136000490227804731903027485440241233971134178013184895610752630495325077774647988160958552345533492113195683145928588377115372587684473825103449060329}
19279  17803469197031793450405852808707207700595332937151127435177428935819951: {154184,173457,674345,809214,963350,982209,1156020,1233088,1387224,1560627,1752569,2503670,2965886,3004404,3099089,3558845,4023041,4134665,4236980,4254029,4270614,4427270,4961598,5084376,5312724,5519297,5719923,5859965,6434345,6496257,6559817,7031958,7130249,7199126,7252349,7549528,7721214,7827017,7866129,7884710,7934969,8203097,8406569,8493219,9461652,10110975,10134737,10186070,10240468,10596281,10785040,11275689,11335670,11718710,11742809,11951009,12036875,12133170,12223284,12273206,12887897,12942048,13012324,13237757,13602804,13649529,14049089,14062452,14444250,14559804,14621369,14629240,14731769,14971601,15001257,15043334,15407200,15868286,16355369,16457895,16697716,17072870,17157209,17277881,17333100,17552297,17555088,18030009,18325048,18413165,18488640,18961766,19001657,19341449,19721216,19749474,19872446,19923316,20210897,20346398,20373609,20487444,20615549,20615679,20698457,20799720,20887670,21241865,22020856,22035017,22095798,22186368,22402358,22668980,23399685,23853880,23899526,23951129,24412097,24542475,24773463,24930686,24959664,25065204,25074710,25490238,25511297,25659257,25762769,25775729,26178640,26472758,26568689,26739977,26791286,26835615,27011289,27145469,27202776,27778228,28079622,28328457,28461880,28624656,28706174,28790681,28872710,29450970,30089652,30306374,30603123,30702374,31000372,31240888,31279449,31414368,31598489,31606257,32019615,32105297,32202738,32208257,32326358,32805556,34142180,34154256,34310846,34611014,34647252,34936935,34995569,35028158,35100926,35145999,35317409,35341164,36044897,36235718,36444710,36784839,36805809,36822470,37266064,37272569,37490249,37955270,37999358,38002217,38097057,38423538,38925929,39838937,39886406,40970616,41008820,41226806,41392598,41525534,41539169,41742041,41840475,41876489,41924322,42908457,42973684,43291517,43294820,43423358,43718057,43733652,43791475,44186964,44415449,44629840,44800052,45546324,45674246,45746345,45864710,45938486,46014904,46091943,46748849,46865080,47528369,47671257,47854157,48835709,49210584,49345289,49708408,49993670,50144180,50208570,50322038,50498561,50584408,51017246,51492710,51520166,51766767,51876055,51953784,52072689,52462168,52549770,52603334,52723215,53294774,53474366,53555808,54043828,54895614,55037652,55361907,55608470,55811649,55921959,56013449,56053088,56238096,56673149,56907459,56980580,57024184,57101009,57195965,58000696,58448007,58712237,59019939,59341670,59992404,60152657,60173016,60250284,60504701,61398356,61791252,62098694,62251266,62559250,62565389,62651678,62738969,62788084,63012929,63059724,63199574,63267858,63459928,63490697,63509069,63677726,64152207,64204265,64409798,64414929,64670681,64894481,65076329,65250783,65574089,65612681,65933409,66539289,66730164,66784070,67087814,67231576,67694643,67746975,67897670,67952765,68065396,68335937,68376696,68408774,68635158,68640089,69201401,69553865,69555729,70049012,70086845,70493270,70934297,71055849,71210004,71283197,71392419,71529917,71557766,72263440,72268157,72463892,72630041,72724696,72881780,72938729,73004415,73444809,73524566,73742457,73854772,74108650,74537366,74747897,75071100,75147620,75164606,75279377,75635523,75665369,75925865,76123757,76371675,76923783,77002329,77045118,77536529,77871376,78548897,78803764,79356729,79650057,79828769,80075840,80140884,80659769,80670845,80983958,81296370,81463120,81477204,81543318,81572870,81815283,81949816,82547486,82645046,82803881,83294345,83369318,83392395,83464638,83744246,84104214,84591924,84750494,84846641,84990975,85160372,85182249,85343609,85478534,85760049,85826429,86716128,86791757,87426998,87458136,87605298,87635667,88062609,88121716,88514345,88712420,88930380,88951888,89162584,89216201,89494689,90018470,90085320,90167129,90177144,90191156,90224249,90365846,90653921,90657040,90968180,91053737,91111038,91307969,91646010,92020335,92193543,92230841,92433698,93181565,93377249,93487814,93608849,93677270,93758529,93913144,94716518,94859072,95046686,95123609,95761865,95908406,96091008,96710008,96732916,96791465,96805014,97236280,97364897,97382909,97555644,97726820,97755744,97887444,98057270,98155024,98390403,98532129,98612798,98782337,99359165,99494918,99543926,99601649,99782319,99953214,...,1276796152071738039226219643848267760819944169415139184325199615716053617801688785532550837536000946827160260701661659723783620481781360882766114269240560535393959910822819423991461143116625760339761066848942561043145102673497711025967496935653153253550583903769799714158382247087955508063451232049815327315240982012882666242876807178744948670295675675336878811887018724934935094848608530189979418573862993045184430148745907164649629479334396577908708219074091678918597017030688536062282543760833698956017442017915010196405433705720877858796460123435756031168953762604997308623737168348317520168969318596752946905721043075382822959539353648083089335961978065921760476846943259548207173637978573431570089415387704650646047891531422781840820470360053365585283631424813937080276506401448384194763592856551447785356079069231727333378434081812125344901619339065979379036359458698833913699662862615474580851211475255979495144134035060813357217620797935869095077406798185443748235476880825094126589106002116698175515857145501061530043972824187923045986620111431591674900652318151627481699831642921545907868076595037838328577761693197949082226040923985513474506369047056922875447413798773645994586397676215202567928125310669137523366671416342709565778642595210350469392810565364116787451387593225877842252174072154380417335460331852151492711352793072526697533333348942362439019552927905008462851872142051242657935291163098995447444364173569659174264678180085915225209734684066639391094469601693198706451317748802100423865432445938600817046728120516342814555451838111583530874559956265702334263112820776567219953295862343061147454458437009422732561849877866796417311589768610718435037053450127858028921993525959737593405097500868190679659186851394120271730010285799096537764990338177659792663232861454134420838996847088132010312318702377524629150516763648979906821044111539593815339157167623283698721876449163363878507966558154399539747186531741706512726711100417365411747186495020822393575852394170328421594890635310441309447778520567698376129115730715146776398681328802125837158213681963301359395576340409809428249173677620878608036487651587866398168243739396586993957208124729434982550883417252343430595220580213336817700472769968761829013333269024328094703092682348610752939179575126469168337109749833676725434284282488011168004119940991585537449406718694793745824187329164838683723340571485100734353873080890427251007923860962222937317220736019690446879403649488489544188553477851135992440636656655463908082571652018304432186884760444206741491353460884665027175610034260493463245085823486716927251269808407161213469770053588441429838132178232473791589793672366808740023782589964990258369315742096515406345901811732980662656493508908478754867103858953159643112808117507608018321654980928424849064194871746449732018875205031237382101122705562008398704682951857666243515487925862027974255503074816437988905233104959913565958848000653637072975870703313920321645294845570684246527481003507327100103699530650881278069794044656150927577527904784502820496783579298433471265413772}
19280  17873841134876679765819529458376630416228192864195992320400768444964598: {134911,192730,231276,250471,423874,596719,731842,827191,1078952,1116442,1172359,1213821,1287271,1309612,1402111,1445025,1541360,1577434,1734030,1807714,1849632,1860751,2080836,2267842,2574274,2660599,2727394,3683791,3721114,3755505,3797119,4005872,4023559,4362679,4448829,4506606,5151439,5244634,5296225,5320642,5694152,5824711,6003994,6355470,6405921,6605837,6615464,6640905,6779168,6941071,7083632,7291234,7442397,7517914,7593442,7626564,7939639,7969086,8649154,8661676,9152191,9175834,9375944,9436910,9809911,10226842,10294952,10488172,10526554,10547937,10798689,11226079,11324292,11551159,11581821,11827065,11983591,12542914,12615536,12800585,13481300,13488031,13583842,13701799,13880674,14021911,14192478,14325442,14553991,15034252,15190111,15279105,15295879,15360702,15434842,15718231,15803842,16034417,16177560,16244551,16265405,16297712,16540642,17003505,17256064,17578065,17708671,18124399,18137072,18199372,18199755,18286550,18334926,18409809,18448834,18749936,19158679,19259000,19268249,19364671,19413072,19467559,19518486,19544794,20001676,20404206,20491714,20872145,20900431,21093678,21580954,21666375,21839706,21943234,21943860,22218319,22319191,22377442,22565001,22666594,22906310,23027674,23110800,23223799,23406784,23424031,23723839,23802429,23892634,24040012,24611674,24651520,24904145,25015519,25046574,25509079,25609305,25687234,25902631,25999650,26332632,26490799,27164812,27173719,27316592,27335777,27368191,27400642,27487572,27526070,27732960,27756271,28040794,28182874,28239751,28336225,28442649,28625239,29201311,29458714,29461064,29581824,29624211,29808669,29817350,29870119,29884974,30306394,30517954,30519597,30535399,30731166,30940642,31197151,31199580,31291399,31331505,31949119,32275354,32415514,32416759,32607806,32696479,32723300,33031284,33143697,33279552,33324994,33420272,33464674,33603537,33986984,34003470,34361191,34371034,34722785,35413474,35552194,35577350,35760154,35780820,35849289,35911999,36015052,36244834,36270368,36273871,36724591,36866842,37280794,37396029,37439496,37597806,37612065,37620631,37771276,38154799,38166208,38235357,38244442,38332279,38597959,38656474,38750465,38862991,38951191,39051110,39267960,39547234,39709137,39889114,40119536,40178431,40186929,40263041,40298842,40804164,40980442,41006945,41046391,41667342,41705932,41728354,41885824,42119433,42141676,42249439,42505399,42675679,42677725,42692820,42745114,42936984,43059261,43309065,43420954,43494857,43960474,44027551,44176455,44261357,44364442,44431714,44446231,44633434,44863111,44946271,45029359,45134478,45459561,45539008,45904397,46053561,46185031,46196336,46375642,46442434,46500558,46582580,46594351,46642714,46776154,46861332,46976194,47121552,47375842,47442394,47730871,48304107,48489537,48968674,49046452,49074412,49208334,49488319,49896161,50750609,50796076,50946754,51055759,51213270,51231384,51261025,51340642,51466269,51674671,51733954,51916521,51970878,52266929,52388194,52542237,52651389,52822711,52910434,52975642,53011746,53277391,53503759,53654311,53717105,53879599,54118525,54341314,54353577,54627488,54667065,54700111,54774271,54924442,55233705,55267901,55527437,55635394,55731799,55787300,55804951,55899096,56000065,56473114,56604871,56821519,56858842,56893591,56932905,56999037,57179842,57211276,57243994,57324511,57518630,57610351,57635307,58107799,58311536,58460959,58581350,58778842,58827629,58915952,59440231,59669914,59733442,59829609,59855599,60050842,60062311,60199759,60336919,60728432,60746671,61153831,61356439,61455924,61513230,61631842,61840209,62088897,62135510,62160391,62288301,62512834,62575642,62680225,62886483,62888239,62952154,63230510,63265474,63542359,63561676,63634109,64381951,64390114,64460526,64826074,64942230,65019511,65135037,65323354,65577710,65600478,65614112,65695642,66067354,66280446,66334951,66643471,66944760,67011319,67194271,67200078,67497751,67554785,67609954,68039479,68137454,68319486,68469442,68511369,68714434,68752711,68797065,68811679,68907729,69022356,69271712,69430252,69513679,69803119,70066360,70090759,70297620,70300642,70773751,70999111,71210842,71225725,71279191,71280230,71390719,71407744,71706089,71755234,71815642,71944039,72381511,72479074,72500870,73189351,73194152,73295839,73380634,73383536,73815876,73928719,73979674,74415532,74499751,74517442,74562612,74750897,74984128,74990505,75011311,75216270,75312855,75365119,75483057,75876612,75963439,76241434,76258711,76356559,76366301,76525869,76655554,76747945,76985551,77033431,77127874,77239065,77271751,77280249,77319199,77742991,77832902,77930676,78010714,78017261,78481999,78485105,78693252,78709159,78799519,78824655,78905001,79299034,79324910,79335631,79474114,79590754,79765594,79942161,79989872,80211549,80230688,80333712,80347354,80546239,80630551,80695642,80750969,80985442,81065742,81212671,81417151,81579439,81619831,81780679,82174001,82177759,82256311,82343421,82370914,82388336,82556478,82606231,82759879,82945474,82950319,83001688,83412705,83547631,84039470,84055159,84079632,84162079,84232999,84303631,84357144,84478951,84621257,84652471,84773314,84824191,84994111,85027879,85081745,85262239,85284442,85460311,85470870,85536276,85885646,85886572,85912399,86101831,86133442,86164399,86319559,87001044,87010111,87155191,87183991,87203674,87315994,87496039,87551839,87561265,87880591,87911212,87987871,88044514,88172839,88379842,88451726,88506991,88557319,88607359,88714594,88719052,88731199,88780231,88973552,89012505,89115391,89368831,89503399,89826274,89988606,89995231,90076879,90117271,90216991,90259524,90329300,90375426,90379714,90579865,90742159,90759871,90876442,90881839,90905870,90916039,90949951,91098991,91102225,91115191,91168928,91334431,91364599,91438759,91496791,91513544,91690831,91895311,91907479,91931599,92030434,92070271,92097534,92188279,92194714,92229031,92258839,92304154,92318465,92415511,92528911,92536471,92635361,92641231,92686878,92718919,92724391,92740972,92770399,92844919,92870551,92881639,92898271,92912959,92920951,92928079,92929159,92929519,93148041,93376899,93530294,93666754,93829594,93838875,93934525,93938074,93977517,94182126,94589586,94741132,94799361,94901787,94911514,94946672,95189892,95234842,95450074,95516589,95922029,96040642,96614697,96715661,97339220,97926412,97959874,98312921,98323276,98504705,98964442,99280474,99781934,...,1915194228107607058839329465772401641229916254122708776487799423574080426702533178298826256304001420240740391052492489585675430722672041324149171403860840803090939866234229135987191714674938640509641600273413841564717654010246566538951245403479729880325875855654699571237573370631933262095176848074722990972861473019323999364315210768117423005443513513005318217830528087402402642272912795284969127860794489567776645223118860746974444219001594866863062328611137518377895525546032804093423815641250548434026163026872515294608150558581316788194690185153634046753430643907495962935605752522476280253453977895129420358581564613074234439309030472124634003942967098882640715270414889322310760456967860147355134123081556975969071837297134172761230705540080048377925447137220905620414759602172576292145389284827171678034118603847591000067651122718188017352429008598969068554539188048250870549494293923211871276817212883969242716201052591220035826431196903803642616110197278165622353215321237641189883659003175047263273785718251592295065959236281884568979930167147387512350978477227441222549747464382318861802114892556757492866642539796923623339061385978270211759553570585384313171120698160468991879596514322803851892187966003706285050007124514064348667963892815525704089215848046175181177081389838816763378261108231570626003190497778227239067029189608790046300000023413543658529329391857512694277808213076863986902936744648493171166546260354488761397017270128872837814602026099959086641704402539798059676976623203150635798148668907901225570092180774514221833177757167375296311839934398553501394669231164850829929943793514591721181687655514134098842774816800194625967384652916077652555580175191787043382990288939606390107646251302286019488780277091180407595015428698644806647485507266489688994849292181201631258495270632198015468478053566286943725775145473469860231566167309390723008735751434925548082814673745045817761949837231599309620779797612559769090066650626048117620779742531233590363778591255492632392335952965661964171667780851547564193673596072720164598021993203188755737320522944952039093364510614714142373760516431317912054731477381799597252365609094880490935812187094152473826325125878515145892830870320005226550709154953142743519999903536492142054639023522916129408769362689703752505664624750515088151426423732016752006179911487378306174110078042190618736280993747258025585010857227651101530809621335640876511885791443334405975831104029535670319105474232734316282830216776703988660954984983195862123857478027456648280327140666310112237030191326997540763415051390740194867628735230075390876904712610741820204655080382662144757198267348710687384690508550213110035673884947485387553973613144773109518852717599470993984740263362718132300655788429739464669212176261412027482482471392637273596292307619674598028312807546856073151684058343012598057024427786499365273231888793041961383254612224656983357849657439870348938272000980455609463806054970880482467942268356026369791221505260990650155549295976321917104691066984226391366291857176754230745175368947650206898120658}
19281  17944489243079417582952763769247041544340313745840810344059918473240669: {289095,308368,346914,635811,944083,1097763,1348690,1618428,1637015,1674663,1926700,1964418,2312040,2330339,2366151,2466176,2601045,2711571,2774448,3121254,3401763,3505138,3861411,4091091,4754503,4982383,5007340,5581671,5788531,5931772,6008808,6198178,6759909,7117690,7752511,7866951,7980963,8046082,8203951,8269330,8473960,8508058,8541228,8854540,9005991,9008083,9250111,9533205,9923196,10168752,10625448,10827095,10936851,11038594,11276871,11327059,11390163,11439846,11719930,11953629,12467939,12868690,12973731,12992514,13110215,13119634,13763751,14063916,14155365,14260498,14398252,14504698,15099056,15231151,15340263,15442428,15654034,15701923,15732258,15769420,15789831,15869938,16406194,16813138,16851625,16986438,17309111,18469459,18778199,18792815,18814371,18923304,20221950,20269474,20372140,20375763,20480936,20767091,20821011,21192562,21288717,21488163,21570080,22037311,22551378,22554851,22671340,22749215,22841879,23041053,23152263,23437420,23485618,23705763,23812151,23902018,24073750,24266340,24446568,24546412,24810963,25002095,25602931,25775794,25778431,25884096,26024648,26294383,26475514,27064391,27205608,27299058,27429825,27502389,27579299,27673251,28098178,28124904,28793683,28888500,29119608,29242738,29258480,29277729,29317191,29463538,29738611,29943202,30002514,30050015,30086668,30606309,30737571,30814400,31339319,31601791,31640517,31736572,32371431,32710738,32759559,32902871,32914851,32915790,33395432,33566163,33956015,33999891,34145740,34314418,34359465,34541511,34555762,34666200,34846583,35104594,35110176,35838951,36060018,36650096,36826330,36917511,36977280,37569861,37923532,38003314,38530851,38682898,38999475,39442432,39493679,39498948,39744892,39843091,39846632,40084979,40421794,40692796,40747218,40904125,40974888,41100963,41231098,41231358,41289105,41331191,41396914,41599440,41775340,42061191,42274311,42483730,43296031,44041712,44070034,44188071,44191596,44372736,44501711,44726025,44804716,44827461,44911711,45018815,45337960,45459591,45776931,46096749,46398839,46410963,46799370,47214095,47707760,47779871,47799052,47902258,48413031,48623271,48791831,48824194,48911709,49084950,49331503,49459703,49546926,49861372,49919328,49987491,50032499,50130408,50149420,50197011,50980476,51005205,51022594,51318514,51525538,51551458,51556551,52132415,52357280,52677095,52945516,53120211,53137378,53328291,53366025,53479954,53582572,53640231,53671230,53749751,54022578,54290938,54367251,54405552,55300263,55556456,55921191,56159244,56223959,56396709,56656914,56923760,57249312,57366663,57412348,57581362,57745420,57984711,58228225,58576665,58901940,59320851,59833671,60179304,60250271,60448263,60612748,61206246,61308065,61343015,61404748,61470663,61930031,62000744,62481776,62501013,62558898,62592531,62718503,62828736,63196978,63212514,63495095,63946931,64039230,64044883,64117671,64210594,64405476,64416514,64652716,64677439,64858739,65131431,65191271,65611112,65619559,65940711,66546663,66647571,66706403,66950151,67701717,68284360,68308512,68621692,69222028,69294504,69563463,69663651,69734125,69750837,69873870,69926023,69964071,69991138,70056316,70164231,70201852,70291998,70464291,70634818,70682328,71063763,71163591,71514095,72087791,72089794,72471436,72626477,72640679,72889420,72946351,73453011,73454711,73463783,73569678,73611618,73644940,73812501,74532128,74545138,74679539,74980498,75381791,75910540,75998716,76004434,76194114,76375459,76420131,76819905,76847076,77010963,77600931,77851858,77956317,78548243,78582291,79254599,79365651,79452095,79463463,79517619,79677874,79772812,79837111,80074351,81128471,81511971,81941232,82017640,82386663,82453612,82785196,83051068,83078338,83231159,83453091,83484082,83680950,83752978,83848644,84709671,84953471,85288263,85769763,85816914,85835503,85865991,85947368,86277945,86583034,86589640,86787815,86846716,87436114,87467304,87582950,87872025,88168263,88373928,88830898,89259680,89315699,89504871,89600104,89600163,89885971,90076263,90278663,91092648,91348492,91492690,91729420,91876972,92029808,92183886,92240479,92269845,92447763,93019415,93203265,93497698,93618631,93723683,93730160,93769251,93863463,94428231,94845765,94898211,95056738,95133871,95342514,95708314,95719343,96446611,96479699,96585171,96591011,96690789,97239111,97375411,97413345,97671418,97985031,98121583,98366565,98400717,98421168,98543463,98690578,99007943,99101031,99360851,99416816,99420669,99987340,...,2872791342161410588258994198658602461844874381184063164731699135361120640053799767448239384456002130361110586578738734378513146084008061986223757105791261204636409799351343703980787572012407960764462400410120762347076481015369849808426868105219594820488813783482049356856360055947899893142765272112084486459292209528985999046472816152176134508165270269507977326745792131103603963409369192927453691791191734351664967834678291120461666328502392300294593492916706277566843288319049206140135723461875822651039244540308772941912225837871975182292035277730451070130145965861243944403408628783714420380180966842694130537872346919611351658963545708186951005914450648323961072905622333983466140685451790221032701184622335463953607755945701259141846058310120072566888170705831358430622139403258864438218083927240757517051177905771386500101476684077282026028643512898453602831808782072376305824241440884817806915225819325953864074301578886830053739646795355705463924165295917248433529822981856461784825488504762570894910678577377388442598938854422826853469895250721081268526467715841161833824621196573478292703172338835136239299963809695385435008592078967405317639330355878076469756681047240703487819394771484205777838281949005559427575010686771096523001945839223288556133823772069262771765622084758225145067391662347355939004785746667340858600543784413185069450000035120315487793994087786269041416712319615295980354405116972739756749819390531733142095525905193309256721903039149938629962556603809697089515464934804725953697223003361851838355138271161771332749766635751062944467759901597830252092003846747276244894915690271887581772531483271201148264162225200291938951076979374116478833370262787680565074485433409409585161469376953429029233170415636770611392523143047967209971228260899734533492273938271802446887742905948297023202717080349430415588662718210204790347349250964086084513103627152388322124222010617568726642924755847398964431169696418839653635099975939072176431169613796850385545667886883238948588503929448492946257501671277321346290510394109080246897032989804783133605980784417428058640046765922071213560640774646976868082097216072699395878548413642320736403718280641228710739487688817772718839246305480007839826063732429714115279999855304738213081958535284374194113154044034555628758496937125772632227139635598025128009269867231067459261165117063285928104421490620887038377516285841476652296214432003461314767828687165001608963746656044303505478658211349101474424245325165055982991432477474793793185786217041184972420490710999465168355545286990496311145122577086110292301443102845113086315357068916112730306982620573993217135797401023066031077035762825319665053510827421228081330960419717159664278279076399206490977110395044077198450983682644609197003818264392118041223723707088955910394438461429511897042469211320284109727526087514518897085536641679749047909847833189562942074881918336985475036774486159805523407408001470683414195709082456320723701913402534039554686832257891485975233323943964482875657036600476339587049437785765131346117763053421475310347180987}
19282  18015414597694337262855634750164576987615922732510349980838481796164034: {269822,385460,442957,462552,500942,520371,847748,1193438,1363981,1463684,1654382,1937281,2023035,2157904,2232884,2344718,2408375,2427642,2574542,2619224,2804222,2890050,2946627,3082720,3154868,3468060,3615428,3699264,3721502,4161672,4535684,4681881,4776781,5114497,5148548,5257707,5321198,5339281,5454788,6259175,7238317,7367582,7414715,7442228,7511010,7594238,8011744,8047118,8345677,8725358,8897658,9006637,9013212,9297267,9555457,10302878,10489268,10538797,10592450,10641284,10647697,10676535,11068175,11388304,11649422,12007988,12069123,12403995,12710940,12762087,12811842,13211674,13230928,13281810,13558336,13774477,13882142,14094481,14167264,14582468,14884794,15035828,15156481,15186884,15253128,15473677,15879278,15938172,16211281,16557891,16735981,17049937,17159769,17258881,17298308,17323352,17467537,17579895,17779981,17920819,17997815,18304382,18351668,18506497,18751888,18816781,18873820,19126417,19303035,19488771,19619822,19679451,19711775,19846381,20453684,20589904,20868781,20976344,21053108,21072397,21095874,21390747,21580177,21597378,21757047,22086157,22452158,22648584,22771567,23102318,23163642,23393281,23481051,23598387,23654130,23804907,23967182,24390481,24589057,24609291,25085828,25219707,25231072,25465175,25479657,25601170,25620419,26558977,26656717,26962600,26976062,27167684,27403598,27533137,27761348,28043822,28307281,28339175,28384956,28500097,28650884,29107982,29221003,29296775,30032257,30068504,30332925,30380222,30404211,30558210,30591758,30683015,30721404,30869684,31436462,31607684,31639981,31788843,32068834,32355120,32489102,32530810,32595424,32855377,33081284,33504781,33782017,33827067,34007010,34512128,34865803,35156130,35228427,35417342,35853027,36067117,36110625,36248798,36274144,36398744,36399510,36573100,36669852,36819618,36897668,37499872,37608335,38317358,38518000,38536498,38663691,38729342,38826144,38935118,39036972,39089588,39629677,39670715,39713271,39804781,40003352,40241281,40415377,40502317,40675981,40808412,40948587,40983428,41367757,41744290,41800862,42147267,42187356,42682175,43077037,43161908,43246381,43332750,43499857,43668481,43679412,43836817,43864107,43886468,43887720,44195307,44256397,44436638,44638382,44754884,44914803,45003771,45130002,45173137,45333188,45504337,45812620,45998977,46055348,46163281,46221600,46447598,46813568,46848062,46980481,47404415,47447678,47604858,47785268,48080024,48353197,48611899,49066107,49223348,49303040,49373685,49681115,49808290,50020177,50031038,50093148,50865995,51018158,51218610,51346381,51374468,51471627,51578257,51732481,51805262,51833643,51999300,52219175,52656891,52665264,52981598,53031757,53485357,53536571,54090027,54250651,54329624,54347438,54633184,54671554,54736382,54801284,54975144,55052140,55126381,55239495,55465920,55512542,55641217,56005895,56081588,56365748,56479502,56672450,56885298,57004971,57250478,57409723,57665281,58024347,58402622,58917428,58922128,59076481,59163648,59248422,59617338,59634700,59740238,59748815,59769948,59771281,60253357,60612788,60632691,61035908,61039194,61070798,61120827,61154423,61274497,61341997,61462332,61678417,61770007,61846647,61847037,61881284,62095371,62326715,62394302,62399160,62582798,62610817,62663010,62686775,63659137,63725595,63898238,64550708,64831028,64833518,65215612,65386381,65392958,65446600,66012781,66062568,66105051,66181895,66287394,66559104,66649988,66754957,66840544,66929348,66978215,67207074,67365517,67481579,67968877,67973968,68006940,68028817,68446381,68722382,68742068,68742481,68860417,69445570,69445777,70195981,70199055,70826948,71104388,71154700,71520308,71561640,71698578,71765435,71770477,71823998,71853387,72030104,72181775,72489668,72540736,72547742,73236291,73449182,73500781,73627425,73733684,73869457,74320389,74544781,74561588,74792058,74801281,74878992,74954317,75195612,75203947,75224130,75241262,75308881,75542552,75659917,75765935,75809281,75957997,76056781,76309598,76332416,76400257,76470714,76488884,76533891,76546381,76664558,76755935,76977771,77172097,77195918,77288307,77312948,77327187,77500930,77725982,77902382,78064717,78102220,78295297,78400091,78535920,78660481,79094468,79418274,79706067,79778228,80075137,80219931,80239072,80356862,80373858,80506845,80526082,80597684,80628781,80815895,80921857,81033867,81436407,81608328,81779917,81939757,81960884,81979537,82013890,82092782,82177357,82373377,82712531,82912657,83026381,83334684,83411864,83456708,83511697,83771648,84238866,84283352,84498878,84757837,84826381,84894637,84985371,85010798,85264897,85351358,85355450,85385640,85490228,85755757,85777115,85873968,85979281,86042497,86073997,86118522,86199277,86372043,86385037,86527535,86598481,86618130,86841908,86989714,87043981,87570395,87695617,87752315,87920948,88055102,88152781,88283281,88352910,88360717,88522714,88713517,88728884,88863428,88892462,88980817,89193037,89266868,89533777,89726222,89858317,89892542,90058718,90251083,90268956,90285457,90382477,90477697,90589295,90607981,90644557,90919122,91078016,91111775,91465357,91479937,91649281,91743277,91808257,91808794,91809369,92004097,92027281,92050177,92056175,92107122,92160337,92212717,92273197,92321617,92370062,92392672,92472781,92497297,92551981,92574337,92610157,92751284,92757037,92772481,92858881,92884868,92904781,92922637,92926381,92937217,92938477,93001116,93165160,93188702,93285428,93552308,93722664,93838347,93952388,94243104,94481903,94576699,94751684,94795467,94818771,94884788,94888175,94998395,95345459,95461742,96058845,96315891,96608214,96624771,96979074,97937348,98092904,98148824,98416668,98976638,99716015,99792322,...,3830388456215214117678658931544803282459832508245417552975598847148160853405066356597652512608002840481480782104984979171350861445344082648298342807721681606181879732468458271974383429349877281019283200546827683129435308020493133077902490806959459760651751711309399142475146741263866524190353696149445981945722946038647998728630421536234846010887027026010636435661056174804805284545825590569938255721588979135553290446237721493948888438003189733726124657222275036755791051092065608186847631282501096868052326053745030589216301117162633576389380370307268093506861287814991925871211505044952560506907955790258840717163129226148468878618060944249268007885934197765281430540829778644621520913935720294710268246163113951938143674594268345522461411080160096755850894274441811240829519204345152584290778569654343356068237207695182000135302245436376034704858017197938137109078376096501741098988587846423742553634425767938485432402105182440071652862393807607285232220394556331244706430642475282379767318006350094526547571436503184590131918472563769137959860334294775024701956954454882445099494928764637723604229785113514985733285079593847246678122771956540423519107141170768626342241396320937983759193028645607703784375932007412570100014249028128697335927785631051408178431696092350362354162779677633526756522216463141252006380995556454478134058379217580092600000046827087317058658783715025388555616426153727973805873489296986342333092520708977522794034540257745675629204052199918173283408805079596119353953246406301271596297337815802451140184361549028443666355514334750592623679868797107002789338462329701659859887587029183442363375311028268197685549633600389251934769305832155305111160350383574086765980577879212780215292502604572038977560554182360815190030857397289613294971014532979377989698584362403262516990541264396030936956107132573887451550290946939720463132334618781446017471502869851096165629347490091635523899674463198619241559595225119538180133301252096235241559485062467180727557182510985264784671905931323928343335561703095128387347192145440329196043986406377511474641045889904078186729021229428284747521032862635824109462954763599194504731218189760981871624374188304947652650251757030291785661740640010453101418309906285487039999807072984284109278047045832258817538725379407505011329249501030176302852847464033504012359822974756612348220156084381237472561987494516051170021714455302203061619242671281753023771582886668811951662208059071340638210948465468632565660433553407977321909969966391724247714956054913296560654281332620224474060382653995081526830102781480389735257470460150781753809425221483640409310160765324289514396534697421374769381017100426220071347769894970775107947226289546219037705435198941987969480526725436264601311576859478929338424352522824054964964942785274547192584615239349196056625615093712146303368116686025196114048855572998730546463777586083922766509224449313966715699314879740697876544001960911218927612109941760964935884536712052739582443010521981300311098591952643834209382133968452782732583714353508461490350737895300413796241316}
19283  18086618278938400594166717041608565555531954624323689078321350708088191: {404733,481825,578190,616736,693828,751413,1059685,1271622,1790157,1829605,1888166,2195526,2291821,2481573,2697380,2754037,2791105,3236856,3274030,3349326,3517077,3641463,3853400,3861813,3928836,3943585,4206333,4335075,4519285,4624080,4660678,4732302,4869997,4932352,5202090,5423142,5548896,5562961,5582253,5669605,6242508,6435685,6803526,6818485,7010276,7722822,7981797,8182182,8673181,9302785,9483841,9509006,9964766,10014680,10176373,11051373,11163342,11204677,11266515,11391357,11577062,11863544,12017616,12070677,12396356,12469237,12827077,12890581,13088037,13111585,13301605,13346487,13519818,14235380,14734837,15009985,15157933,15355981,15454317,15505022,15733902,15888675,15961926,16092164,16407902,16538660,16947920,17016116,17082456,17310913,17474133,17709080,18011982,18016166,18123517,18228085,18354301,18500222,18780157,18794785,18983605,19066410,19217763,19264621,19345477,19817511,19846392,19922715,20337504,20769253,20823213,21250896,21622885,21654190,21873702,22077188,22192417,22327191,22553742,22654118,22780326,22844257,22879692,22939585,22976437,23413333,23439860,23592275,23818917,23907258,23956117,24417181,24935878,25567105,25737380,25947462,25985028,26179141,26220430,26239268,26309941,26316385,26655733,27067213,27456573,27527502,27582181,28127832,28141633,28310730,28520996,28796504,29009396,29429733,30198112,30248437,30462302,30680526,30884856,31308068,31357285,31403846,31464516,31538840,31579662,31643811,31739876,31759981,31848901,32396067,32593717,32812388,33554413,33626276,33678237,33703250,33959605,33972876,34618222,34653477,34701685,34745463,34851877,35002933,35481195,35497921,35813605,35950773,36773797,36938918,37037377,37556398,37585630,37628742,37846608,38401755,38587105,38946181,39497797,39509605,40089181,40443900,40464093,40504717,40538948,40606177,40744280,40751526,40961872,41105397,41321101,41351605,41534182,41642022,41750797,42065733,42070021,42217381,42385124,42577434,42752653,42976326,43140160,43661973,44074622,45102756,45109702,45342680,45382933,45498430,45570333,45683758,45716375,45837315,45887637,46082106,46122085,46304526,46403677,46874840,46971236,47154693,47373157,47411526,47538421,47624302,47784853,47804036,47971681,48103251,48147500,48532680,48662197,48733653,48796215,48845953,48861985,48893136,49092824,49621926,50004190,50451181,51010515,51205862,51229285,51551588,51556862,51768192,52049296,52588766,52734195,52870717,52951028,53126013,53888641,53952385,54128782,54373197,54411216,54598116,54599265,54858085,54859650,54993037,55004778,55158598,55229427,55346502,55943605,56196356,56249808,56641981,56666485,57265775,57476037,57569185,57587366,57663073,57777000,57804747,58081741,58094013,58239216,58402677,58485476,58516960,58555458,58634382,58849573,58927076,59129317,59477222,59731585,59886404,60005028,60100030,60173336,61129837,61169317,61212618,61475142,61529185,61628800,62068957,62578513,62616435,62678638,62701293,62725057,63026341,63084001,63203582,63281034,63473144,63522433,63862081,64218085,64742862,64999125,65275837,65421476,65519118,65748253,65805742,65829702,65831580,66099733,66446497,66654957,66790864,66957573,67043917,67132326,67695003,67912030,67999782,68047813,68291480,68371333,68501605,68628836,68718930,68815175,68967637,69083022,69111524,69215917,69332400,69671397,69693166,70101985,70209188,70220352,70272093,70457185,71129941,71171517,71407287,71677902,72120036,72985381,73300192,73462477,73646785,73652660,73747933,73835022,73954560,74111041,74118433,74543375,74687437,74712435,75046557,75139722,75727621,75765985,75771301,75847064,75947173,76006628,76294885,76527237,76651237,76827915,77061702,77351605,77365796,77542597,77650381,77707893,77998950,78556477,78884864,78987358,78997896,79262881,79425877,79472397,79489784,79686182,79693264,80169958,80688385,80823997,80843588,81038785,81385592,81494436,81519515,81521157,81808250,81949776,82007331,82104573,82106581,82201926,82462196,82462716,82578210,82662382,82793828,83050321,83120677,83198880,83268813,83312485,83550680,83661685,83770117,84122382,84250237,84548622,84719253,84967460,85008675,85327947,85831291,85875717,85880221,85927585,86592062,86810113,87254701,87603933,88083424,88140068,88257637,88376142,88383192,88533685,88745472,88872633,88880485,88893133,88943375,89003422,89400385,89426007,89452050,89609432,89610357,89654922,89730157,89823422,90037630,90288097,90612085,90672997,90675920,90919182,91553862,91558791,91606197,92167105,92193498,92438341,92797678,92821926,93201985,93591453,93598740,93733477,93874197,93994515,94428190,94504513,94947997,95415520,95559742,95598104,95611105,95729377,95804516,95847357,96489781,96641185,96826062,96900757,97246542,97250277,97583662,97627775,97640773,97648388,97823418,98089437,98169900,98364097,98663006,98868085,98919406,98947021,99020317,99093852,99197437,99431091,99722744,99722785,99838656,99974982,...,5745582684322821176517988397317204923689748762368126329463398270722241280107599534896478768912004260722221173157477468757026292168016123972447514211582522409272819598702687407961575144024815921528924800820241524694152962030739699616853736210439189640977627566964098713712720111895799786285530544224168972918584419057971998092945632304352269016330540539015954653491584262207207926818738385854907383582383468703329935669356582240923332657004784600589186985833412555133686576638098412280271446923751645302078489080617545883824451675743950364584070555460902140260291931722487888806817257567428840760361933685388261075744693839222703317927091416373902011828901296647922145811244667966932281370903580442065402369244670927907215511891402518283692116620240145133776341411662716861244278806517728876436167854481515034102355811542773000202953368154564052057287025796907205663617564144752611648482881769635613830451638651907728148603157773660107479293590711410927848330591834496867059645963712923569650977009525141789821357154754776885197877708845653706939790501442162537052935431682323667649242393146956585406344677670272478599927619390770870017184157934810635278660711756152939513362094481406975638789542968411555676563898011118855150021373542193046003891678446577112267647544138525543531244169516450290134783324694711878009571493334681717201087568826370138900000070240630975587988175572538082833424639230591960708810233945479513499638781063466284191051810386618513443806078299877259925113207619394179030929869609451907394446006723703676710276542323542665499533271502125888935519803195660504184007693494552489789831380543775163545062966542402296528324450400583877902153958748232957666740525575361130148970866818819170322938753906858058466340831273541222785046286095934419942456521799469066984547876543604893775485811896594046405434160698860831177325436420409580694698501928172169026207254304776644248444021235137453285849511694797928862339392837679307270199951878144352862339227593700771091335773766477897177007858896985892515003342554642692581020788218160493794065979609566267211961568834856117280093531844142427121281549293953736164194432145398791757096827284641472807436561282457421478975377635545437678492610960015679652127464859428230559999710609476426163917070568748388226308088069111257516993874251545264454279271196050256018539734462134918522330234126571856208842981241774076755032571682953304592428864006922629535657374330003217927493312088607010957316422698202948848490650330111965982864954949587586371572434082369944840981421998930336711090573980992622290245154172220584602886205690226172630714137832225460613965241147986434271594802046132062154071525650639330107021654842456162661920839434319328556558152798412981954220790088154396901967365289218394007636528784236082447447414177911820788876922859023794084938422640568219455052175029037794171073283359498095819695666379125884149763836673970950073548972319611046814816002941366828391418164912641447403826805068079109373664515782971950466647887928965751314073200952679174098875571530262692235526106842950620694361974}
19284  18158101371207188107360309066703700560230579221280974587806145170792631: {212003,327539,539644,770920,867285,885914,904139,925104,1001884,1019243,1040742,1364123,1402403,1695496,1907433,1937483,1975643,2386876,2432939,2727962,2832249,2927368,3116723,3293289,3308764,3371725,3760139,3874562,4024403,4046070,4315808,4438883,4465768,4689436,4816750,4855284,4911045,5023989,5149084,5152523,5238448,5377283,5608444,5780100,5893254,5900603,6165440,6309736,6385139,6936120,6942539,6991017,7053803,7098453,7230856,7398528,7443004,7803135,8134713,8323344,8762845,9071368,9154139,9227363,9363762,9553562,10139963,10205289,10228994,10297096,10380601,10515414,10642396,10678562,10685123,10909576,11083763,11445323,11584233,12058139,12273273,12518350,12847763,13026683,13775963,14096003,14263509,14476634,14735164,14829430,14884456,14947149,15022020,15188476,15193403,15263939,15495445,15791939,16023488,16094236,16248083,16318139,16691354,16745013,17365593,17450716,17781923,17794225,17795316,17885939,17989883,18013274,18026424,18232139,18594534,18818843,18853283,19110914,19162883,19334603,19882763,20053643,20115205,20279727,20605756,20673325,20871083,20905043,20978536,21074723,21077594,21184900,21270145,21282568,21295394,21353070,21481139,22088603,22136350,22324139,22776608,23257533,23298844,23329139,23429243,23495939,23600853,23828939,23942889,24015976,24138246,24393203,24591803,24611853,24724043,24807990,25196941,25421880,25524174,25580483,25623684,25810139,26423348,26461856,26561963,26563620,27017973,27024249,27050003,27116672,27548954,27596485,27750333,27764284,27827123,28188962,28310483,28334528,28599615,28727939,29164936,29207939,29299825,29769588,30071656,30278677,30312962,30373768,30415883,30506256,30947354,31267139,31486883,31758556,31876344,32171725,32422562,32481285,32517539,32799085,32810553,33045083,33115782,33137939,33471962,33539483,33816683,33830613,33981177,34099874,34170489,34319538,34460963,34517762,34596616,34646704,34935074,34979939,35159790,35375243,35559962,35651245,35799443,35841638,35860887,35995630,36261745,36608764,36703336,37002803,37012994,37403817,37503776,37633562,37688939,37747640,38134139,38222963,38252834,38341283,38606070,38666003,38921193,38977542,39019139,39135085,39239644,39330645,39358902,39423550,39663563,39674845,39692762,39751139,39896939,40246043,40275083,40907368,41015485,41113763,41179808,41291253,41573603,41737562,41952688,42032845,42106216,42144794,42191748,42259523,42466095,42572363,42781494,42956221,43160354,43194756,43251563,43279763,43514094,43842083,44172314,44456939,44904316,44929403,45206243,45297168,45543134,45693453,46020789,46031963,46114139,46196243,46204636,46327284,46605683,46660139,46786562,46850483,46931939,46962102,47105769,47196774,47308260,47369493,47554043,47609814,47934364,48780962,48998003,49178114,49218582,49658603,49737539,50171656,50439414,50462144,50554875,50673685,50930350,50959314,51202340,51223643,51240838,51301139,51687539,51738923,51927333,52123283,52651669,52911923,52981405,53117954,53313434,53341139,53517203,53642723,53925200,53952124,54092939,54335368,54763403,54807196,54837539,55066274,55379003,55408377,55452539,55522696,55539001,55819139,55940939,56087644,56334597,56378445,56443113,56614562,56619323,56667539,56678350,56739803,56769912,56908139,56980163,57000194,57301768,57386939,57672683,58051883,58215964,58442006,58593550,58714045,59107403,59223683,59755045,60064514,60077939,60123803,60137008,60184375,60261203,60665850,60760444,60808422,61116420,61127289,61183516,61214939,61282523,61366030,61372523,61442808,61708883,61739368,61775939,62154563,62301273,62376203,62463033,62839043,62872924,63101939,63215368,63270493,63279962,63363683,63472403,63577686,63689243,63866151,63926843,64120523,64137668,64439485,64464489,64710240,64718939,64825139,64978204,65061620,65190848,65458139,65710754,65917763,66083939,66111933,66146123,66162568,66188785,66366181,66661523,66702539,67009139,67009562,67151603,67212539,67564034,67654134,67664553,68014020,68058083,68117939,68177723,68247645,68349061,68455763,68525637,68751923,68771603,68869883,69024256,69046283,69123159,69456789,69553561,69731606,70110203,70245445,70262939,70312260,70456854,70831139,70834684,70887563,71018939,71117289,71212393,71436453,71447843,71706054,72128939,72134234,72135481,72220139,72221250,72273409,72401939,72497596,72548288,72797488,72799020,73106845,73146200,73210139,73339704,73475939,73528883,73639236,73658845,73795336,73880003,74432889,74555483,74812043,74858005,74999744,75006285,75032939,75216670,75336563,75620939,75836843,75985523,76034939,76329923,76411403,76557563,76634716,76808793,77036000,77040083,77072996,77087939,77327382,77335293,77373563,77458684,77562539,77652288,77870236,78073944,78179176,78260939,78368123,78408253,78413939,78535763,78717539,78883149,78988043,79259354,79341430,79359443,79426542,79609139,79609562,79750957,80006704,80015363,80187539,80429483,80482562,80514323,80570723,80655083,80830754,80864723,81004634,81193173,81264923,81351962,81442139,81616824,81644939,81776845,81805883,81872603,81897174,81912539,81966856,82084763,82203203,82242539,82281803,82289475,82507167,82735514,82737897,83019753,83227523,83487923,83488580,83537123,83598443,83601724,83648341,83938139,84153203,84294534,84318683,84374712,84529139,84782843,84851363,85043939,85077683,85245323,85289723,85356083,85364350,85487939,85509803,85780403,85786045,85897883,86154074,86213363,86285939,86323816,86381049,86389405,86492762,86612723,86642939,86665500,86891939,86941139,86999714,87058403,87068123,87212963,87232139,87257401,87336962,87358824,87469139,87627443,87673634,87719483,87728214,87761485,87772936,87775440,87833187,87951573,88017539,88167683,88193939,88280939,88390614,88409939,88512794,88553963,88728683,88810643,88826939,88873276,89146139,89161763,89215833,89276764,89414939,89509768,89549363,89637539,89724563,89829606,89838803,89937083,90007542,90047483,90149123,90150045,90260004,90308003,90346274,90550139,90624203,90660803,90666376,90792539,90804323,90862763,90994139,91008674,91142963,91159139,91196603,91482203,91501643,91540139,91625240,91693523,91818927,91825403,91876139,91937939,91997954,92036939,92065825,92110696,92177843,92212713,92230283,92270939,92294123,92310443,92326562,92407163,92443200,92443417,92476763,92490683,92507123,92517923,92570003,92572523,92606963,92654653,92664563,92677643,92709083,92727083,92748203,92755643,92834939,92858603,92878763,92895196,92897939,92908139,92915723,92924483,92937539,92939603,92947139,92959883,92965139,92967803,93627136,93696124,93769501,93960962,94017957,94805373,94808830,94895356,94921551,95008285,95209716,95570536,96160048,96706394,96707245,97114293,97223798,97751173,98132214,98278677,98446696,98606080,98708613,98744553,98747370,99362230,99616580,99996457,...,8618374026484231764776982595975807385534623143552189494195097406083361920161399302344718153368006391083331759736216203135539438252024185958671271317373783613909229398054031111942362716037223882293387201230362287041229443046109549425280604315658784461466441350446148070569080167843699679428295816336253459377876628586957997139418448456528403524495810808523931980237376393310811890228107578782361075373575203054994903504034873361384998985507176900883780478750118832700529864957147618420407170385627467953117733620926318825736677513615925546876105833191353210390437897583731833210225886351143261140542900528082391613617040758834054976890637124560853017743351944971883218716867001950398422056355370663098103553867006391860823267837103777425538174930360217700664512117494075291866418209776593314654251781722272551153533717314159500304430052231846078085930538695360808495426346217128917472724322654453420745677457977861592222904736660490161218940386067116391772495887751745300589468945569385354476465514287712684732035732132165327796816563268480560409685752163243805579403147523485501473863589720434878109517016505408717899891429086156305025776236902215952917991067634229409270043141722110463458184314452617333514845847016678282725032060313289569005837517669865668401471316207788315296866254274675435202174987042067817014357240002022575801631353239555208350000105360946463381982263358807124250136958845887941063215350918219270249458171595199426286577715579927770165709117449815889887669811429091268546394804414177861091669010085555515065414813485313998249299907253188833403279704793490756276011540241828734684747070815662745317594449813603444792486675600875816853230938122349436500110788363041695223456300228228755484408130860287087699511246910311834177569429143901629913684782699203600476821814815407340663228717844891069608151241048291246765988154630614371042047752892258253539310881457164966372666031852706179928774267542196893293509089256518960905299927817216529293508841390551156637003660649716845765511788345478838772505013831964038871531182327240740691098969414349400817942353252284175920140297766213640681922323940930604246291648218098187635645240926962209211154841923686132218463066453318156517738916440023519478191197289142345839999565914214639245875605853122582339462132103666886275490811377317896681418906794075384027809601693202377783495351189857784313264471862661115132548857524429956888643296010383944303486061495004826891239968132910516435974634047304423272735975495167948974297432424381379557358651123554917261472132998395505066635860971488933435367731258330876904329308535339258946071206748338190920947861721979651407392203069198093231107288475958995160532482263684243992881259151478992834837229197619472931331185132231595352951047933827591011454793176354123671171121266867731183315384288535691127407633960852329182578262543556691256609925039247143729543499568688826224645755010956425110323458479416570222224004412050242587127247368962171105740207602118664060496773674457925699971831893448626971109801429018761148313357295394038353289160264425931041542961}
19285  18229864963090947350285761125522728015021204941658003448476993889058905: {674555,809466,963650,1156380,1233472,1252355,1328871,1387656,1483559,1502826,1561113,2119370,2543244,2561447,2983595,3254771,3580314,3659210,3776332,3907547,4091943,4135955,4391052,4583642,4963146,5394760,5508074,5521019,5582210,5755451,5811843,5861795,6069105,6217427,6326999,6436355,6473712,6548060,6698652,7010555,7034154,7225125,7282926,7706800,7723626,7829459,7857672,7887170,7937447,8412666,8670150,8839881,9009959,9038570,9096263,9248160,9303755,9321356,9464604,9545879,9739994,9864704,10137899,10250123,10404180,10599587,10846284,11097792,11125922,11164506,11339210,12096299,12485016,12871370,12891923,13023899,13241891,13302995,13607052,13636970,13711703,14020552,14045643,14155559,14330343,14736371,15234323,15343491,15445644,15773121,15963594,16017843,16364364,17162567,17346362,18356219,18418955,18605570,18622247,18777525,18967682,18985595,19007591,19018012,19347491,19917659,19929532,20029360,20117795,20352746,20621987,21013979,21531047,21714951,21813395,22102746,22194731,22244145,22326684,22409354,22533030,22782714,23154124,23727088,23958611,24035232,24141354,24419723,24792712,24938474,25037031,25519319,25608263,25654154,25757195,25781162,26176074,26223170,26299859,26312699,26481125,26577047,26603210,26692974,27019911,27039636,27153971,27891801,27984599,28470760,28666371,29123555,29137019,29469674,30019970,30251591,30272039,30315866,30711962,30908634,31010044,31467804,31616391,31777350,31923852,31943091,32029605,32115419,32184328,32597123,32815804,33029185,33077320,33204525,33895840,34032232,34164912,34621826,34705355,34855511,34948266,35418160,35793947,36023964,36032332,36207369,36247034,36456170,36708602,36842939,37000444,37211985,37501991,37534523,37560314,37589570,37967210,38132820,38286261,38435526,38529242,38690954,39635022,39674147,39692784,39698195,39845430,40508963,40610411,40675008,41323431,41325419,41538506,41646426,42221783,42283443,42501792,43245770,43308380,43406603,43747404,43900199,44154376,44384834,44654382,45107484,45308236,45469443,45560652,45688514,45759384,45760955,45879170,45952874,46182407,46421031,46732103,46826666,46879720,47184550,47378123,47543447,47549699,47637834,47814516,47869211,47912234,47976683,48582359,48633843,48667271,48834362,49049555,49341851,49673673,49871756,50139047,50207943,50311763,51134210,51149811,51474760,51479307,51776643,51894924,51970056,52358282,52402611,52440860,52478536,52619882,52632770,52739685,53311466,53339943,53762457,53993445,54021947,54134426,54913146,55055004,55164362,55313447,55519491,56130395,56255664,56283266,56450343,56621460,57041992,57379251,57593008,57605099,57755795,57892247,57909105,58018792,58466313,58730699,58859466,59038353,59135325,59539143,59624123,59917955,60396224,60496874,60924604,61361052,61769712,62606343,62616136,62714570,62807692,62929032,63077680,63159324,63217191,63287622,63479752,63519962,63697802,64002925,64172241,64510427,64570919,64740531,64792134,64914887,64991771,65096711,65187434,65271141,65624776,66258471,66940523,67050923,67108826,67252552,67356474,67406500,67440155,67919210,67945752,68314701,68406779,68508995,69236444,69306954,69403370,69490926,69703754,69940691,70005866,70109555,70179843,70443153,70795161,70962390,70995842,71305523,71375267,71414721,71627210,71720999,71901546,72291011,72769955,73171443,73547594,73767171,73827873,73877836,74074754,75112796,75171260,75257484,75533339,75659121,75693216,75779219,75950555,76395525,76438971,76479395,76801319,76803510,76861257,77144171,77174210,77187587,77892362,78294659,78321047,78591155,78995594,79019210,79333079,79434203,79676931,79970151,80172085,80178362,80596859,80832443,80887800,80928186,81009434,81077896,81212354,81222755,81327025,81488560,81503052,81923744,82210794,82599411,82642202,82703210,82829987,83068364,83129363,83284044,83501594,83624219,84131466,84140042,84434762,84647291,84766631,84770248,84921843,85017525,85154868,85500291,85505306,85952652,86140859,86280320,86819291,87263819,87323946,87663009,87890325,88149244,88266971,88543355,89849579,89905319,90096771,90205512,90219404,90621995,90685360,90765866,90996860,90998775,91140666,91212633,91367516,91432750,91641251,91674630,91775274,92049045,92164212,92244170,92454503,92609052,92807354,92820947,93749680,93942472,94309386,94746314,94823052,94919943,95076842,95248604,95366529,95569706,95608072,95793395,95902247,95943362,96206502,96295000,96341245,96823355,96910883,97065360,97324394,97337795,97467306,97592430,97691906,97723970,97786272,98142779,98185648,98566131,98640059,98813399,99207803,99243852,...,11491165368645642353035976794634409847379497524736252658926796541444482560215199069792957537824008521444442346314954937514052584336032247944895028423165044818545639197405374815923150288049631843057849601640483049388305924061479399233707472420878379281955255133928197427425440223791599572571061088448337945837168838115943996185891264608704538032661081078031909306983168524414415853637476771709814767164766937406659871338713164481846665314009569201178373971666825110267373153276196824560542893847503290604156978161235091767648903351487900729168141110921804280520583863444975777613634515134857681520723867370776522151489387678445406635854182832747804023657802593295844291622489335933864562741807160884130804738489341855814431023782805036567384233240480290267552682823325433722488557613035457752872335708963030068204711623085546000405906736309128104114574051593814411327235128289505223296965763539271227660903277303815456297206315547320214958587181422821855696661183668993734119291927425847139301954019050283579642714309509553770395755417691307413879581002884325074105870863364647335298484786293913170812689355340544957199855238781541740034368315869621270557321423512305879026724188962813951277579085936823111353127796022237710300042747084386092007783356893154224535295088277051087062488339032900580269566649389423756019142986669363434402175137652740277800000140481261951175976351145076165666849278461183921417620467890959026999277562126932568382103620773237026887612156599754519850226415238788358061859739218903814788892013447407353420553084647085330999066543004251777871039606391321008368015386989104979579662761087550327090125933084804593056648900801167755804307917496465915333481051150722260297941733637638340645877507813716116932681662547082445570092572191868839884913043598938133969095753087209787550971623793188092810868321397721662354650872840819161389397003856344338052414508609553288496888042470274906571699023389595857724678785675358614540399903756288705724678455187401542182671547532955794354015717793971785030006685109285385162041576436320987588131959219132534423923137669712234560187063688284854242563098587907472328388864290797583514193654569282945614873122564914842957950755271090875356985221920031359304254929718856461119999421218952852327834141137496776452616176138222515033987748503090528908558542392100512037079468924269837044660468253143712417685962483548153510065143365906609184857728013845259071314748660006435854986624177214021914632845396405897696981300660223931965729909899175172743144868164739889681962843997860673422181147961985244580490308344441169205772411380452345261428275664450921227930482295972868543189604092264124308143051301278660214043309684912325323841678868638657113116305596825963908441580176308793803934730578436788015273057568472164894894828355823641577753845718047588169876845281136438910104350058075588342146566718996191639391332758251768299527673347941900147097944639222093629632005882733656782836329825282894807653610136158218747329031565943900933295775857931502628146401905358348197751143060525384471052213685901241388723948}
19286  18301910147390702355780596802232839966315288208929726240666874626643100: {250549,366073,424006,655078,712213,1079288,1214199,1287673,1402549,1445475,1517353,1541840,1734570,1771828,1808278,1850208,1975849,2003768,2038486,2081484,2254239,2728246,2804806,3179055,3390992,3798313,3814866,3874966,3951286,4720415,4773752,4865878,5265493,5370471,5455924,5488815,5664498,5826553,5854736,5938549,6233446,6586578,6617528,6743450,6875463,6943273,7054549,7444719,7520278,7749124,8048806,8092140,8185075,8262111,8373315,8631616,8877766,8931536,9374713,9378872,9633500,9710568,9822090,10047978,10298168,10305046,10476896,10551231,10754566,10924389,11216888,11338153,11560200,11585439,11651695,11786508,11801206,11830755,12267983,12330880,12618999,12619472,12770278,13005225,13557855,13599349,13872240,13885078,13982034,14107606,14196906,14239573,14461712,14609991,14797056,14886008,15300853,15606270,15723349,15828793,16269426,16646688,16669753,16688883,16746759,16879273,17008815,17525690,18142736,18234133,18308278,18454726,18727524,18855349,19107124,19307055,19371049,19473973,19782313,20279926,20294773,20410578,20455455,20457988,20594192,20761202,20907349,21030828,21284792,21357124,21370246,21693623,21819152,22167526,22326613,22890646,23168466,23331733,23772515,23831593,23945391,24116278,24546546,24911915,25036700,25419049,25695526,25813033,26009593,26019543,26053366,27474613,27551926,27908355,27959353,28161287,28192006,28451523,28527018,28731193,28942655,28953268,29307049,29470328,29658860,29768912,29778203,29894298,30044040,30376952,30386806,30527878,30529119,30640633,30990890,31113493,31302133,31583878,32046976,32188472,32496166,32521273,32636278,33154119,33382708,33490026,33614031,33799545,34174071,34373113,34464949,34731186,34901432,35014453,35563846,35588450,35590632,35771878,35783891,35833849,35979766,36026548,36052848,36212031,36464278,37189068,37276153,37407711,37637686,37706566,38168233,38221828,38325766,38481231,38635079,38669206,38671743,38762555,38964949,39264111,39334755,39765526,39904815,40039461,40107286,40230410,40279849,40559454,41019755,41211512,41346650,41742166,41810086,41957072,42149446,42155188,42369800,42520633,42540290,42565136,42590788,42706140,42776053,42962278,43284949,44177206,44204511,44272700,44545849,44648278,44962549,45029955,45040415,45045673,45473799,45553216,45708073,45918719,46067943,46250555,46362951,46515066,46597688,46611349,46658278,46858486,46991878,47201706,47657878,47666025,47748373,47885778,48031952,48231349,48276492,48786406,49110073,49183606,49223706,49348213,49448086,49615980,49911743,50393882,50766443,50843760,51048348,51160966,51247368,51620278,51693973,51848053,51932739,52155349,52422399,52846696,52918549,52923712,53123926,53127240,53674549,54035946,54048498,54100006,54135475,54233344,54370551,54684255,54789119,54795049,54869173,55062903,55097908,55192970,55238713,55500666,55528568,55544783,55654246,55826233,55972393,56340471,56377924,56384355,56554153,56620966,56635295,56669056,56915413,56950815,56987449,57199230,57421679,57455878,57653289,57793863,57988393,58036431,58329872,58415878,58599650,58764949,58845983,59393833,59452533,59539176,59768145,60143312,60557354,60625924,60747536,60770473,60831766,61012512,61447993,61894708,62184949,62251513,62307759,62339695,62469639,62534278,62973766,63517112,63752688,64150549,64343450,64845124,64855033,64868655,64962570,65035078,65045653,65109049,65551075,65598170,65621106,66090166,66231564,66275878,66577251,66608953,66732073,66943924,66981573,67038613,67078966,67585849,67633366,67661226,67962354,68127253,68199748,68340978,68532771,68639076,68781049,68818755,68840053,68921926,68929311,69035524,69193232,69293408,69367849,69870148,69959878,70239999,70319580,70750486,70776825,70943159,71119924,71302490,71364949,71456751,71598886,71683276,71721774,71868351,71991260,72466549,72523490,73060153,73217528,73251543,73406672,74005606,74025988,74173967,74325049,74774219,74807634,75007552,75043753,75094549,75267124,75377878,75495280,75648553,76045993,76155755,76268278,76292053,76341049,76390127,76445926,76505668,76682566,76701315,77067349,77115193,77212140,77332006,77353333,77824213,77842386,77955084,78038278,78270170,78479288,78509615,78537423,78661290,78717804,78744373,78847100,78929823,78949155,79327126,79349690,79385524,79502278,79793878,79967199,79984213,80199673,80492086,80550166,80776163,81201639,81657493,81814736,82030970,82199663,82227526,82255273,82333753,82359616,82369719,82450933,82582506,82746543,83147206,83290453,83402233,83475124,83657063,83905376,84065690,84166549,84212432,84258125,84289588,84343849,84379093,84383496,84424899,84519046,84519349,84932190,85068853,85144726,85251023,85501753,85562988,85912442,85986133,86320708,86389512,86503126,86545555,86559526,86667253,86906293,87028188,87082549,87198613,87227449,87651349,87684166,88217593,88289199,88344628,88424953,88913878,89090773,89208313,89437993,89550133,89808632,89858806,90063349,90215279,90412486,90572533,90594336,90745311,90808873,91086268,91164949,91260853,91384693,91386906,91489273,91821049,91897513,91947049,91959253,91995433,92041578,92063926,92077333,92133673,92228278,92347295,92392486,92409272,92415913,92477653,92590549,92627449,92654568,92664299,92702293,92721193,92779513,92853493,92882473,92893813,92929849,92978233,92987449,93211366,93320278,93573124,93700966,93863878,93890995,93924204,93964075,94071855,94211538,94251131,94393548,94616520,94738986,94931433,95108086,95219628,95279943,95546703,95868728,97188201,97561924,97781151,97996006,98343623,98356228,98437164,99317206,99475078,...,17236748052968463529553965191951614771069246287104378988390194812166723840322798604689436306736012782166663519472432406271078876504048371917342542634747567227818458796108062223884725432074447764586774402460724574082458886092219098850561208631317568922932882700892296141138160335687399358856591632672506918755753257173915994278836896913056807048991621617047863960474752786621623780456215157564722150747150406109989807008069746722769997971014353801767560957500237665401059729914295236840814340771254935906235467241852637651473355027231851093752211666382706420780875795167463666420451772702286522281085801056164783227234081517668109953781274249121706035486703889943766437433734003900796844112710741326196207107734012783721646535674207554851076349860720435401329024234988150583732836419553186629308503563444545102307067434628319000608860104463692156171861077390721616990852692434257834945448645308906841491354915955723184445809473320980322437880772134232783544991775503490601178937891138770708952931028575425369464071464264330655593633126536961120819371504326487611158806295046971002947727179440869756219034033010817435799782858172312610051552473804431905835982135268458818540086283444220926916368628905234667029691694033356565450064120626579138011675035339731336802942632415576630593732508549350870404349974084135634028714480004045151603262706479110416700000210721892926763964526717614248500273917691775882126430701836438540498916343190398852573155431159855540331418234899631779775339622858182537092789608828355722183338020171111030130829626970627996498599814506377666806559409586981512552023080483657469369494141631325490635188899627206889584973351201751633706461876244698873000221576726083390446912600456457510968816261720574175399022493820623668355138858287803259827369565398407200953643629630814681326457435689782139216302482096582493531976309261228742084095505784516507078621762914329932745332063705412359857548535084393786587018178513037921810599855634433058587017682781102313274007321299433691531023576690957677545010027663928077743062364654481481382197938828698801635884706504568351840280595532427281363844647881861208492583296436196375271290481853924418422309683847372264436926132906636313035477832880047038956382394578284691679999131828429278491751211706245164678924264207333772550981622754635793362837813588150768055619203386404755566990702379715568626528943725322230265097715048859913777286592020767888606972122990009653782479936265821032871949268094608846545471950990335897948594864848762759114717302247109834522944265996791010133271721942977866870735462516661753808658617070678517892142413496676381841895723443959302814784406138396186462214576951917990321064964527368487985762518302957985669674458395238945862662370264463190705902095867655182022909586352708247342342242533735462366630768577071382254815267921704658365156525087113382513219850078494287459086999137377652449291510021912850220646916958833140444448008824100485174254494737924342211480415204237328120993547348915851399943663786897253942219602858037522296626714590788076706578320528851862083085922}
19287  18374238021134424533006511563303492498373891697470950547245381533514908: {636009,944377,982617,1349110,1618932,1753297,1927300,2214785,2312760,2466944,2504710,2601855,2657742,2712417,2775312,2967118,3005652,3057729,3122226,3601433,4092369,4177033,4207209,4238740,5086488,5122894,5722299,5790337,5812449,5926929,5967190,6509542,6819905,6948889,7160628,7298817,7318420,7552664,7815094,8183886,8206513,8271910,8496747,8782104,9010897,9167284,9252997,9350169,9686405,9814777,9879867,9926292,10115175,10750129,10789520,11016148,11042038,11164420,11280417,11330593,11510902,11623686,11723590,12041875,12073209,12138210,12434854,12653998,12872710,12947424,13025257,13096120,13316649,13397304,13519393,14021110,14068308,14450250,14565852,14733135,15071967,15235909,15413600,15447252,15457569,15658918,15715344,15774340,15874894,16131849,16729297,16825332,17340300,17679762,17701809,18019918,18077140,18192526,18496320,18607510,18624193,18642712,18929208,19091758,19155417,19268633,19479988,19729408,20275798,20500246,20808360,20827617,20973051,21161409,21199174,21295359,21692568,22044193,22195584,22251844,22260913,22329012,22678420,23409405,23418209,23819609,23883905,24192598,24404139,24970032,25572485,25610929,25742740,25783846,25786537,26047798,26184593,26288535,26302597,26483782,26579833,26605990,26696405,27214104,27273940,27423406,27462417,27682089,28041104,28091286,28164913,28311118,28660686,28842473,29020853,29472742,30419889,30468646,30538753,30558337,30615867,30686982,30891288,31141803,31295875,31546242,31927188,32035686,32055369,32728728,33251289,34325134,34335969,34692724,34752699,34857497,36060073,36174417,36191585,36616529,36712438,36800597,36819819,36837910,37073575,37211140,37244494,37555050,37935364,37971190,38015182,38036024,38543289,38694982,39080049,39835318,39859064,40058720,40235590,40705492,40772977,41243974,41327889,41344193,41728385,42027958,42288009,42622553,42790527,43062094,43411129,43429902,43626790,44205492,44389462,44488290,44515649,44653368,44818708,44841447,45033185,45066060,45565428,45580209,45791817,46187233,46240859,46308248,46486335,47145377,47375817,47454176,47554657,47777285,47874229,47917222,48070464,48282708,48433493,48587497,48744249,48839446,48954417,49585424,49876948,50048273,50074062,50235039,50317009,51038638,51216526,51308308,51514390,51562324,52096779,52352148,52446340,52599718,52625398,52693985,52962250,53154094,53188913,53206420,53238485,53345769,53382675,53385948,53657817,53879429,53969649,54039822,54079272,54307942,54696417,55004609,55228849,55340875,55577473,55783602,55969198,56110853,56456529,56559849,56941520,57332742,57488649,58003809,58247110,58274038,58939348,59648289,60039940,60160929,60345615,60503182,60544078,60631732,60839181,61423924,61817268,61949513,62019975,62020088,62613249,62715129,62935608,63224169,63232782,63554700,63810435,63847704,63875477,63886182,64059210,64065337,64230838,64368656,64443417,65194246,65211689,65631608,65640193,66058370,66110033,66154640,66265809,66409050,66972417,67791680,68064464,68329824,68669377,68872385,69243652,69410710,69711022,69772599,69896532,69903893,69987417,70287729,70472405,70487817,70802559,70836320,71486817,71587894,71828667,72047928,72064664,72099889,72110369,72414738,72494068,72912340,73179609,73417204,73685878,73775409,73835559,74000888,74172129,74423970,74703233,74731457,75003982,75069046,75120628,75179140,75405557,75590823,75782405,75934420,75967733,76265640,76572522,76741449,76871052,77058484,77195653,77322953,77368385,77381908,77430417,78582553,79270044,79348294,79385568,79396390,79685889,79690860,80248673,80858113,81017926,81053919,81056405,81072747,81150009,81220822,81350016,82646862,82650838,82789455,83067797,83077012,83250999,83292852,83481369,83679905,83787689,83885137,83962793,84443566,84566886,84775489,84931449,85003584,85249685,85798845,86183817,86294405,86491540,86616760,86813206,86891573,87337685,87494808,87623817,87800398,87899475,88308752,88769668,88899905,89308764,89604095,89989075,90214968,90616472,90836031,90852833,90938886,91121304,91247649,91377028,91518768,91521910,91758340,91905748,92364814,92532485,92842062,93464206,93653332,93759440,93801417,94083905,94369100,94416217,94460649,94756246,95086894,95099398,95275668,95629032,95632085,95738422,95824468,95912593,95953366,96515175,97164718,97267686,97334542,97443855,97552617,97668724,98099110,98153377,98397255,98431659,98558875,98683702,99039089,99041393,99135249,99231905,99347346,99392177,99413817,99743512,...,25855122079452695294330947787927422156603869430656568482585292218250085760484197907034154460104019173249995279208648609406618314756072557876013813952121350841727688194162093335827088148111671646880161603691086861123688329138328648275841812946976353384399324051338444211707240503531099038284887449008760378133629885760873991418255345369585210573487432425571795940712129179932435670684322736347083226120725609164984710512104620084154996956521530702651341436250356498101589594871442855261221511156882403859353200862778956477210032540847776640628317499574059631171313692751195499630677659053429783421628701584247174840851122276502164930671911373682559053230055834915649656150601005851195266169066111989294310661601019175582469803511311332276614524791080653101993536352482225875599254629329779943962755345166817653460601151942478500913290156695538234257791616086082425486279038651386752418172967963360262237032373933584776668714209981470483656821158201349175317487663255235901768406836708156063429396542863138054196107196396495983390449689805441681229057256489731416738209442570456504421590769161304634328551049516226153699674287258468915077328710706647858753973202902688227810129425166331390374552943357852000544537541050034848175096180939868707017512553009597005204413948623364945890598762824026305606524961126203451043071720006067727404894059718665625050000316082839390145946790076421372750410876537663823189646052754657810748374514785598278859733146739783310497127352349447669663009434287273805639184413242533583275007030256666545196244440455941994747899721759566500209839114380472268828034620725486204054241212446988235952783349440810334377460026802627450559692814367048309500332365089125085670368900684686266453224392580861263098533740730935502532708287431704889741054348097610801430465444446222021989686153534673208824453723144873740297964463891843113126143258676774760617932644371494899117998095558118539786322802626590679880527267769556882715899783451649587880526524171653469911010981949150537296535365036436516317515041495892116614593546981722222073296908243048202453827059756852527760420893298640922045766971822791812738874944654294562906935722780886627633464525771058396655389199359954469553216749320070558434573591867427037519998697742643917737626817559367747018386396311000658826472434131953690044256720382226152083428805079607133350486053569573352939793415587983345397646572573289870665929888031151832910458184485014480673719904398731549307923902141913269818207926485503846922892297273144138672075953370664751784416398995186515199907582914466800306103193774992630712987925606017776838213620245014572762843585165938954222176609207594279693321865427876985481597446791052731978643777454436978504511687592858418793993555396694786058853143801482773034364379529062371013513363800603193549946152865607073382222901882556987547734787630670073769829775117741431188630498706066478673937265032869275330970375438249710666672013236150727761381742106886513317220622806355992181490321023373777099915495680345880913329404287056283444940071886182115059867480793277793124628883}
19288  18446849685593265215027959554362586849826302044204418251434038021901979: {501098,558511,732146,848012,1310156,1424426,2023665,2052367,2158576,2409125,2428398,2509567,2575346,2805098,2851711,2890950,3034706,3083680,3193207,3469140,3543656,3616556,3700416,3757065,3951698,3986613,4007536,4076972,4162968,4450677,4508478,4683339,4778287,4890967,5298425,5456492,5609612,6358110,6608581,6781984,7351711,7596626,7629732,7684341,7749932,7902572,7906111,8458711,8950785,9148025,9229327,9440830,9547504,9731756,9764313,10433167,10530986,10651111,10740942,10911848,10977487,10977630,11328996,11459105,11520007,11653106,11709472,11722641,11877098,12275829,12407865,12466892,13029487,13173156,13235056,13486900,13750926,13770185,13886546,13955525,14109098,14889438,15040556,15267247,15498248,16097612,16184280,16312373,16321687,16370150,16524222,16563057,16746630,17263232,17266353,17368927,17435529,17585385,17755532,17863072,17889847,18207315,18616111,18652281,18749426,18757744,18822967,18980997,19267000,19309065,19421136,19644180,19717925,19955527,20095956,20596336,20610092,20953792,21031665,21102462,21509132,21675375,21848778,22194511,22433776,22596425,22676306,23120400,23170878,23303390,23401087,23488377,23501167,23573016,23602412,23661510,23812341,24349985,24498007,24535966,24661760,25237998,25238944,25540556,25881487,26010450,26372167,26519643,26665711,27029877,27115710,27198698,27288789,27639511,27744480,27770156,27814805,27911265,27964068,28215212,28348025,28393812,28413367,28479146,28606111,28637637,28923424,29219982,29594112,29772016,30042511,30413697,30601706,30750369,31212540,31446698,31650847,31657586,31798761,32178425,32538852,32587207,33052687,33281521,33293376,33339506,33377766,33493518,33758546,34017630,34092425,34530127,34876681,35051380,35807767,36079711,36285472,36288897,36468266,36531511,36616556,36909452,37455048,37710698,38214248,38586607,38614110,38675769,38742098,38947946,39071697,39204511,39564626,39595193,39725673,39818887,39906367,39908985,40516711,40519717,40559852,40589546,40777207,40821156,40910910,40915976,41135109,41188384,41382511,41522404,41640847,41814698,42061656,42136929,42290053,42466677,42569584,42714248,42740492,42991029,43365905,43387246,43638304,44188567,44209113,44335052,44653226,45355327,45702969,45781292,46030473,46180087,46336932,46513925,46663466,46671487,46997647,47319363,47419205,47545030,47663186,47888647,47890782,48049711,48053529,48232556,48451111,49093092,49823830,50073400,50838098,50881865,51365527,51391052,51487701,51626066,51751807,52019186,52039086,52106732,53127511,54106567,54267577,54949226,55068657,55103852,55147327,55256865,55589047,55735711,55816710,55866741,55918706,55955167,56023385,56322574,56332575,56384012,56682007,56903046,56956785,57022773,57054036,57186511,57427657,57462386,57885310,57901111,57906536,58042473,58397047,58614098,58940656,59099407,59317720,59537824,59556406,59752977,59788596,60088080,60139447,60345511,60353385,60753904,60773612,61027711,61055756,61058238,61163287,61281266,61366111,61865961,61981780,62226986,62346185,62569447,62604266,62701711,62899567,63041937,63056581,63167756,63489247,64093952,64135385,64137607,64376944,64452905,64593141,64750777,64842487,64969711,64992332,65042546,65144853,65272556,65412727,65440185,65475727,65557925,65601511,65727007,66101767,66308238,66508025,66584193,66720607,66732435,66765416,66980052,67027327,67228062,67502633,67599090,68056711,68348142,68746226,68929898,69065287,69462372,69532711,69802864,70028906,70282447,70681111,71127692,71132407,71176900,71181264,71543756,71567782,71667698,71800711,71875833,71959532,72053096,72105696,72185767,72424062,72928556,73259169,73532167,73585087,73674185,73953511,74378136,74552306,74815422,74833567,74884687,75049925,75111093,75275372,75413132,75789665,75891967,76089967,76336466,76443656,76557957,76579927,76651532,76779905,76824789,76962462,76966711,77206111,77270158,77271585,77338412,77343486,77525110,77538247,77929898,78238087,78528222,78669510,78741007,78899577,78938097,79289413,79443375,79531052,79731141,79809630,79938511,80068327,80078922,80214572,80453887,80460820,80559698,81059733,81118908,81461913,81737287,82017511,82039510,82411711,82423024,82693300,82738337,83484332,83620172,83675403,83734711,83914144,83953797,84298892,84310376,84451111,84695047,84739600,84867127,85041266,85080580,85130272,85181576,85412280,85537447,85552106,85797511,85924556,85999113,86116111,86554565,86569898,86671447,86969887,87261127,87275573,87370665,87411057,87545167,87739711,88223767,88328167,88354087,88354412,88405711,88409022,88545400,88783711,88857367,89091698,89192527,89296556,89668807,89755927,89884447,89925098,90031111,90059910,90080830,90091346,90092887,90279241,90333511,90617585,90656647,90675007,90754773,90816117,90837007,90947598,90976111,91010167,91106432,91140425,91416146,91530511,91771505,91837438,91910527,92079367,92113711,92135886,92345767,92393647,92501110,92526487,92590711,92628511,92643127,92725902,92749687,92817511,92827807,92832847,92874967,92961367,92963887,92985127,92991607,92995711,93030132,93195376,93222698,93316556,93716972,93900785,93973925,93983756,94403412,94511381,94849173,94918025,95315756,95332050,95496746,95771556,95829273,96063904,96088815,96323105,96346257,96462698,96552984,96727385,97572812,97791369,98220146,98367212,98447412,98696426,98896172,99087555,99231960,99613575,99823486,...,34473496105936927059107930383903229542138492574208757976780389624333447680645597209378872613472025564333327038944864812542157753008096743834685085269495134455636917592216124447769450864148895529173548804921449148164917772184438197701122417262635137845865765401784592282276320671374798717713183265345013837511506514347831988557673793826113614097983243234095727920949505573243247560912430315129444301494300812219979614016139493445539995942028707603535121915000475330802119459828590473681628681542509871812470934483705275302946710054463702187504423332765412841561751590334927332840903545404573044562171602112329566454468163035336219907562548498243412070973407779887532874867468007801593688225421482652392414215468025567443293071348415109702152699721440870802658048469976301167465672839106373258617007126889090204614134869256638001217720208927384312343722154781443233981705384868515669890897290617813682982709831911446368891618946641960644875761544268465567089983551006981202357875782277541417905862057150850738928142928528661311187266253073922241638743008652975222317612590093942005895454358881739512438068066021634871599565716344625220103104947608863811671964270536917637080172566888441853832737257810469334059383388066713130900128241253158276023350070679462673605885264831153261187465017098701740808699948168271268057428960008090303206525412958220833400000421443785853527929053435228497000547835383551764252861403672877080997832686380797705146310862319711080662836469799263559550679245716365074185579217656711444366676040342222060261659253941255992997199629012755333613118819173963025104046160967314938738988283262650981270377799254413779169946702403503267412923752489397746000443153452166780893825200912915021937632523441148350798044987641247336710277716575606519654739130796814401907287259261629362652914871379564278432604964193164987063952618522457484168191011569033014157243525828659865490664127410824719715097070168787573174036357026075843621199711268866117174035365562204626548014642598867383062047153381915355090020055327856155486124729308962962764395877657397603271769413009136703680561191064854562727689295763722416985166592872392750542580963707848836844619367694744528873852265813272626070955665760094077912764789156569383359998263656858556983502423412490329357848528414667545101963245509271586725675627176301536111238406772809511133981404759431137253057887450644460530195430097719827554573184041535777213944245980019307564959872531642065743898536189217693090943901980671795897189729697525518229434604494219669045888531993582020266543443885955733741470925033323507617317234141357035784284826993352763683791446887918605629568812276792372924429153903835980642129929054736975971525036605915971339348916790477891725324740528926381411804191735310364045819172705416494684684485067470924733261537154142764509630535843409316730313050174226765026439700156988574918173998274755304898583020043825700441293833917666280888896017648200970348508989475848684422960830408474656241987094697831702799887327573794507884439205716075044593253429181576153413156641057703724166171844}
19289  18519746246297850096026915343678042421038087518650891091974741456780673: {19289,751647,1060015,1098219,1272018,1637695,1888754,1965234,2136639,2331307,2698220,3100699,3237864,3506594,3642597,3854600,3863019,4025131,4207647,4256239,4336425,4429570,4520695,4552059,4625520,4933888,5009420,5096215,5203710,5315484,5424834,5550624,5927547,5934236,6011304,6115458,6140431,6244452,6762717,6820615,7012015,7202866,7526359,8184738,8354066,8414418,8477480,8675887,9537165,9547867,9687415,9878215,9942427,10172976,10245788,11394939,11444598,11580674,11624898,11853858,11934380,12164695,12473131,12831079,13019084,13404007,13560967,13639810,13897778,14158507,14161245,14321256,14597634,14636840,15000667,15105328,15583615,15630188,15796479,16111413,16173271,16367772,16413026,16466445,16543820,16858625,16993494,17316319,17479659,17564208,17815647,18021794,18334568,18505994,18700338,18800695,19270639,19372810,19629554,19759734,19852584,19921807,20122015,20230350,20466127,20626389,20775739,20829819,21163647,21500258,21535531,21579040,22032296,22084076,22194415,22328840,22334157,22560834,22661186,22851391,23021804,23247372,23420647,23447180,24083750,24146418,24276420,24555225,24786333,24869708,25119945,25307996,25745420,25762615,25894848,26050514,26063899,26187319,26192240,26633298,26794608,26886415,27038786,27990427,28042220,28124139,28136616,28150447,28845487,28900500,29023879,29131704,29143087,29263531,29466270,29503015,29521159,30143934,30471818,30827200,30894504,30915138,31317836,31430688,31548680,31653693,31749788,31925695,32263698,32286967,32435071,32773167,33021967,33437467,33458594,33650664,34014459,34086559,34680600,34712695,34756317,34955085,35269015,35359524,35403618,35492265,35509039,35801479,36039836,36154280,36385052,36620347,36803949,36992640,37215020,37248386,37285424,37374967,37856997,37858416,38183516,38310834,38537266,38958379,38959976,39015675,39458816,40101787,40551596,40673565,40798047,41000492,41130079,41348527,41616720,41655234,41763931,41946102,42322818,42398348,42590718,42627007,42718719,43385136,43814225,43829973,43943671,44088386,44391168,44503688,44521826,44658024,45356840,45397147,45770695,45902559,46136815,46818810,46836418,47170047,47486379,47570347,47636971,47639218,47767810,48026599,48385196,48808278,48861319,49083607,49940064,50009259,50066649,50240277,50388487,50467087,50637819,50668219,50699815,51026445,51144970,51221858,51485480,51567692,51573074,51903005,52095596,52369186,52577070,52605194,52690207,52967564,53159666,53194459,53211980,53392810,53425615,53885047,53905519,54131551,54428208,54547880,54702399,54846812,54924834,54991927,55364178,55418815,55905019,56082208,56182572,56247631,56329826,56566047,56622236,57221959,57226615,57321372,57684946,57896047,57921165,58041706,58113147,58419739,58421919,58945484,59147959,59346939,59980567,60290695,60839778,60884319,60937292,61077506,61116674,61231734,61366365,61373964,61782576,61956007,62283606,62591750,62598199,62722047,63046459,63092484,63103759,63854376,64071372,64110738,64238815,64523959,65005447,65080869,65133415,65457456,66502578,66888199,66979839,68392747,68650268,68671938,68879815,68986027,69237691,69385448,69505398,69714994,69995199,70480015,71152219,71317545,71390239,71494779,71836173,72120146,72348834,72383170,73233058,73313839,73424876,73601194,73639638,73675820,73771579,74141647,74147150,74422280,74488988,74533879,74711131,74735745,75110100,75751339,75870728,75942380,75967015,76030364,76072048,76257147,76319695,76343707,77076751,77086578,77389964,77439099,77477225,77970007,78028779,78058629,78130039,78160098,78581179,78789931,78959695,79670636,79718128,80020159,80117440,80210359,80471180,81206887,81240415,81410984,81545954,81590695,82423839,82487948,82509199,82655778,82688386,82968967,83456770,83725065,83878059,83971567,84055916,84276799,84483861,84576018,84665047,84891631,84989239,85245106,85354569,85532191,85581054,86124188,86193579,86401639,86419771,86822258,86827965,86859804,86921131,87253580,87537607,87921147,88058539,88285639,88410984,88778924,88909615,88971125,88976580,89031298,89306736,89334609,89429695,89637416,89682894,89949415,90066370,90132120,90862327,90973531,91130856,91160418,91160695,91583634,91587357,91921899,92374466,92481718,92616496,92651899,92679487,92840479,92972670,93340479,93906399,94094215,94266415,94290754,94534399,94751634,94908352,95109314,95554570,95748458,95759479,95814415,95834444,96140928,96421339,96565416,96673015,96866986,97114111,97174994,97488498,97563819,97678892,97908834,98393599,98661367,99049471,99170848,99413815,99462357,99563047,99753896,...,51710244158905390588661895575854844313207738861313136965170584436500171520968395814068308920208038346499990558417297218813236629512145115752027627904242701683455376388324186671654176296223343293760323207382173722247376658276657296551683625893952706768798648102676888423414481007062198076569774898017520756267259771521747982836510690739170421146974864851143591881424258359864871341368645472694166452241451218329969421024209240168309993913043061405302682872500712996203179189742885710522443022313764807718706401725557912954420065081695553281256634999148119262342627385502390999261355318106859566843257403168494349681702244553004329861343822747365118106460111669831299312301202011702390532338132223978588621323202038351164939607022622664553229049582161306203987072704964451751198509258659559887925510690333635306921202303884957001826580313391076468515583232172164850972558077302773504836345935926720524474064747867169553337428419962940967313642316402698350634975326510471803536813673416312126858793085726276108392214392792991966780899379610883362458114512979462833476418885140913008843181538322609268657102099032452307399348574516937830154657421413295717507946405805376455620258850332662780749105886715704001089075082100069696350192361879737414035025106019194010408827897246729891781197525648052611213049922252406902086143440012135454809788119437331250100000632165678780291893580152842745500821753075327646379292105509315621496749029571196557719466293479566620994254704698895339326018868574547611278368826485067166550014060513333090392488880911883989495799443519133000419678228760944537656069241450972408108482424893976471905566698881620668754920053605254901119385628734096619000664730178250171340737801369372532906448785161722526197067481461871005065416574863409779482108696195221602860930888892444043979372307069346417648907446289747480595928927783686226252286517353549521235865288742989798235996191116237079572645605253181359761054535539113765431799566903299175761053048343306939822021963898301074593070730072873032635030082991784233229187093963444444146593816486096404907654119513705055520841786597281844091533943645583625477749889308589125813871445561773255266929051542116793310778398719908939106433498640141116869147183734854075039997395485287835475253635118735494036772792622001317652944868263907380088513440764452304166857610159214266700972107139146705879586831175966690795293145146579741331859776062303665820916368970028961347439808797463098615847804283826539636415852971007693845784594546288277344151906741329503568832797990373030399815165828933600612206387549985261425975851212035553676427240490029145525687170331877908444353218415188559386643730855753970963194893582105463957287554908873957009023375185716837587987110793389572117706287602965546068728759058124742027026727601206387099892305731214146764445803765113975095469575261340147539659550235482862377260997412132957347874530065738550661940750876499421333344026472301455522763484213773026634441245612711984362980642046747554199830991360691761826658808574112566889880143772364230119734961586555586249257766}
19290  18592928813054635792424533746067976244707977930177685528342273906688318: {327641,443141,597029,789209,1002196,1019561,1117022,1134629,1364549,1464292,1517669,1594181,1696024,1908027,2052581,2090729,2433701,2620312,2833131,2848852,2852009,2889989,2947851,3372775,4025669,4047330,4104734,4317152,4553189,4818250,4856796,5019134,5150692,5259891,5266601,5341529,5610196,5703422,5781900,5902469,6014441,6069412,6167360,6261775,6275429,6386414,6644355,6938280,7056041,7087312,7167269,7233112,7400832,7417795,7514130,7805565,7903396,7943849,7973226,8015072,8128229,8137251,8153944,8325936,8901354,9016956,9157061,9173187,9366678,9449861,9556574,9781934,10143209,10252421,10596850,10688549,10797401,10804299,10912984,11195909,11219224,11557349,12169961,12277107,12529241,12531099,12621627,12716220,12807235,13217162,13563968,13922789,14242649,14313641,14561861,14703422,14738921,14917975,14951129,15193252,15259464,15304169,15368682,15480389,15499864,15797081,15805144,15812222,15902501,16042747,16148201,16273855,16743269,16882949,16917422,17166897,17196761,17371011,17437347,17780787,17891801,17901570,17995781,18296050,18458654,18652649,18859481,18881660,18962789,19095008,19278259,19340969,19463512,19528626,19537735,19855109,20162729,20459715,20679775,20846667,20866334,21061972,21081701,21217349,21302222,21481884,21589721,21724889,21823696,21896451,21927401,21954974,21955260,22196969,22230629,22533209,22657992,22918210,23002601,23040014,23306212,23403689,23418944,23437061,23445282,23703749,23754196,24401369,24500741,24551658,24619539,24732329,24815730,24933784,25029509,25194329,25490241,25490501,25687589,25884389,25917161,26058974,26346312,26407781,26470112,26668709,26973800,27032691,27383621,27501852,27540370,27545561,27605095,27758991,27773092,27911050,28030181,28050507,28218196,28416581,28448729,28641449,28777255,29059215,29308975,29313701,29377541,29444331,29639601,29778876,29791721,30045929,30081112,30236249,30345525,30534494,30996496,31087135,31497689,31634995,31842341,32181775,32195224,32217221,32250387,32368560,32590949,32622041,32624746,32643374,32740300,32870489,33048444,33056489,33126114,33149381,33242201,33493260,33520229,33797609,33841251,33991779,34089979,34166441,34526464,34532706,34534121,34564709,34737854,34871058,35052775,35170770,35511064,35726144,35779694,35811929,35842181,35902661,36083909,36125625,36219627,36414630,36565829,36895961,37232222,37304562,37498852,37515488,37645934,37791401,37961994,38147561,38236421,38534000,38618130,38620649,38842272,38940727,39032921,39075771,39147295,39209129,39238469,39288360,39435850,39687235,39765221,39911054,39949947,40191912,40376489,40558179,40695269,41192672,41214821,41220184,41387429,41502341,41907584,42017861,42063330,42204924,42417029,42587621,42672809,43018264,43267109,43350750,43633241,43697556,43857881,44193881,44199405,44221829,44253451,44389022,44389349,44556581,44612261,44867552,45049795,45192850,45194969,45215901,45352612,45481315,45707727,46130921,46213061,46240800,46341756,46372707,46518775,46606780,46677161,46758821,46794319,46802174,46949081,46976754,47002334,47146032,47204824,47247269,47323020,47624682,47652329,47729395,47894501,48296681,48395547,48483749,48699970,48996014,49071932,49175141,49323520,49360361,49413209,49676969,49755941,50187891,50475996,50477888,50689495,51009701,51081112,51250615,51320261,51526661,51706841,51758249,51762974,51860969,52020900,52219481,52744334,52754309,52997935,53007749,53039286,53105427,53159429,53331422,53662949,53888489,54059754,54188201,54231420,54397396,54577578,54858341,55252709,55279022,55473641,55488960,55540312,55620569,55629610,55767209,55822530,55872579,55928136,55962281,55986629,56430424,56568581,56696050,56761541,56787624,56826734,56958292,57002021,57212222,57275274,57337349,57466251,57789929,57805899,57846848,58145189,58439964,58616069,58780121,58826921,59130341,59188224,59409221,59455589,59544032,59594501,59756201,59894489,60085022,60101381,60216041,60353369,60376229,60481495,60712267,60827394,61171289,61193861,61203412,61306601,61374149,61396649,61464101,61500738,61710809,61800281,61978841,62179109,62425080,62482851,62599769,62863961,62893396,62919153,62929829,63301694,63315172,63484227,63562841,63597522,63692969,63886077,64017029,64167641,64356850,64459615,64872389,65077704,65119495,65174414,65735849,65756741,66006821,66105374,66132579,66172901,66209455,66386887,66482921,66514975,66563042,66586752,66626981,66679012,66750149,66755532,66782739,66791141,66987036,67056809,67239941,67483109,67517092,67785449,67945961,68035260,68085989,68145881,68184850,68205701,68558515,68858969,68898281,69060254,69425861,69561689,69753362,70102760,70228215,70234949,70254627,70406489,70539461,70777795,70917221,71142341,71161049,71234611,71329061,71458827,71533529,71615534,71651715,71810789,72157987,72159422,72487001,72570944,72577794,72794021,72936532,73063022,73212417,73233112,73347929,73560281,73681855,73806569,73818904,73964069,73981529,74346341,74895461,74910096,75065381,75116201,75150041,75268229,75419609,75421396,75703781,75853289,76068101,76101029,76171615,76412249,76428496,76509929,76717455,76832787,76994009,77121881,77173214,77228220,77351538,77359611,77407721,77484196,77753561,77895892,78143394,78172709,78341801,78403049,78409022,78432739,78448901,78540389,78553779,78616409,78767849,78843269,78865605,78907791,79129252,79172741,79190386,79395161,79451346,79601129,79637774,79739499,79775839,79812734,79817970,80089215,80266841,80551001,80677829,80762021,80901701,81033422,81039434,81119704,81137321,81179092,81479621,81547481,81554414,81642312,81749861,81821820,81831952,81910469,81950441,81990341,82083161,82270218,82280741,82320041,82359269,82376768,82387251,82476521,82765022,82811609,82939049,83015129,83044808,83046267,83078309,83281694,83428421,83453189,83564249,83613401,83629396,83869349,83977961,84073961,84123312,84228869,84273858,84288089,84358889,84494739,84569561,84580106,84720101,84812069,84892121,84933354,84949061,85118681,85139168,85253081,85319849,85428496,85480984,85485509,85551269,85584041,85746821,85812835,85822169,85854341,85982058,86035289,86097187,86098601,86172101,86234789,86441669,86527419,86685701,86695769,86731810,86774492,86935001,87013721,87062559,87140549,87275621,87276608,87284659,87304361,87446981,87569129,87625049,87671429,87754409,87763589,87954521,88212389,88238681,88247429,88325801,88377134,88377689,88418226,88454981,88624421,88670104,88674629,88732841,88798889,88807109,89121449,89137241,89254661,89306452,89400809,89596121,89706341,89789539,89814761,89864741,89907269,90005381,90108761,90234067,90356069,90375641,90446789,90617321,90691241,90710654,90853349,90992549,90998249,91026629,91032281,91060421,91116101,91181861,91208921,91246469,91259667,91262441,91356761,91405938,91443461,91532741,91547369,91552229,91562584,91581221,91616259,91675011,91717289,91781095,91798361,91847601,91893929,91931909,91981541,91989701,92060946,92061701,92089001,92094775,92112089,92119721,92190629,92244569,92317061,92360174,92363429,92373161,92411369,92414501,92472259,92519081,92569049,92611289,92663621,92673864,92691941,92738729,92757701,92781989,92787881,92816261,92827109,92846249,92893529,92894981,92922341,92933609,92938409,92967461,92974949,92980229,92981081,92983589,92992169,92996441,92998469,93010649,93016421,93017189,93024089,93025001,93025769,93027850,93111235,93326932,93342974,93425409,93887625,93995294,94638726,94838410,94927975,95037955,95090060,95326372,95777294,95781564,96099422,96107058,96166107,96465112,96737455,96902222,97781671,98186184,99588295,99647660,99753867,...,77565366238358085882992843363782266469811608291969705447755876654750257281452593721102463380312057519749985837625945828219854944268217673628041441856364052525183064582486280007481264444335014940640484811073260583371064987414985944827525438840929060153197972154015332635121721510593297114854662347026281134400889657282621974254766036108755631720462297276715387822136387539797307012052968209041249678362176827494954131536313860252464990869564592107954024308751069494304768784614328565783664533470647211578059602588336869431630097622543329921884952498722178893513941078253586498892032977160289350264886104752741524522553366829506494792015734121047677159690167504746948968451803017553585798507198335967882931984803057526747409410533933996829843574373241959305980609057446677626797763887989339831888266035500452960381803455827435502739870470086614702773374848258247276458837115954160257254518903890080786711097121800754330006142629944411450970463474604047525952462989765707705305220510124468190288189628589414162588321589189487950171349069416325043687171769469194250214628327711369513264772307483913902985653148548678461099022861775406745231986132119943576261919608708064683430388275498994171123658830073556001633612623150104544525288542819606121052537659028791015613241845870094837671796288472078916819574883378610353129215160018203182214682179155996875150000948248518170437840370229264118251232629612991469568938158263973432245123544356794836579199440219349931491382057048343008989028302861821416917553239727600749825021090769999635588733321367825984243699165278699500629517343141416806484103862176458612162723637340964707858350048322431003132380080407882351679078443101144928500997095267375257011106702054058799359673177742583789295601222192806507598124862295114669223163044292832404291396333338666065969058460604019626473361169434621220893893391675529339378429776030324281853797933114484697353994286674355619358968407879772039641581803308670648147699350354948763641579572514960409733032945847451611889606095109309548952545124487676349843780640945166666219890724729144607361481179270557583281262679895922766137300915468375438216624833962883688720807168342659882900393577313175189966167598079863408659650247960211675303720775602281112559996093227931753212880452678103241055159188933001976479417302395861070132770161146678456250286415238821400051458160708720058819380246763950036192939717719869611997789664093455498731374553455043442021159713196194647923771706425739809454623779456511540768676891819432416016227860111994255353249196985559545599722748743400400918309581324977892138963776818053330514640860735043718288530755497816862666529827622782839079965596283630956444792340373158195935931332363310935513535062778575256381980666190084358176559431404448319103093138587187113040540091401809580649838458596821220146668705647670962643204362892010221309489325353224293565891496118199436021811795098607825992911126314749132000016039708452183284145226320659539951661868419067976544470963070121331299746487041037642739988212861168850334820215658546345179602442379833379373886649}
19291  18666398499962328763060839970980271301625036824953675599052414536263822: {38578,1252745,1484021,1503294,1675533,1830365,2120030,2196438,2292773,2544036,2755181,3275390,3561065,3777508,3930468,4273278,4662614,4756973,5396440,6070995,6157101,6201398,6328973,6438365,6475728,6563909,7012745,7013188,7134701,7227375,7256873,7285194,7528701,7586765,7709200,7726038,8050262,8411813,8415294,8512478,8555133,8672850,8859140,9041390,9099101,9104118,9251040,9548861,9579621,9816821,9867776,9879245,10018840,10192430,10253321,10407420,10630968,10849668,11101248,11271195,11750141,11855094,11868472,11959839,12022608,12100073,12230916,12280862,12488904,12895949,13352031,13525434,13562381,13641230,13715981,13829501,14024030,14050017,14057861,14159981,14334861,14405732,14672901,14740973,14980949,15052718,15423221,15895275,16365581,16369476,16708132,16732781,16828836,16954960,17030573,17288669,17351774,17728061,18991565,19074330,19095734,19353533,19374830,19756430,19825743,19884854,19923881,20345952,20468261,20491576,21537773,21817061,21876773,22055133,22265549,22789878,22889196,23053023,23161348,23249796,23602075,23707716,23718333,23868760,23966093,24187241,24329390,24427349,24946262,25376133,25662158,26038168,26320973,26327465,26808014,26852355,26947421,27121934,27279620,27444075,27687981,27795556,27993341,28170821,28317014,28322490,28642512,29132765,29146121,29195268,29266589,29273680,29292939,29692745,30001334,30210656,30564701,31072181,31167230,31260376,31299501,31557101,31592958,31953333,32222826,32346542,32438453,32735544,32826052,32932461,32932890,33087640,33400973,33717250,33861941,33986988,34090121,34377315,34560021,34584173,34632638,34716365,34959318,35128416,35167923,35272745,35631294,36043588,36067661,36669136,36827487,37011988,37223595,37400676,37601390,37640981,38541278,38745620,39025961,39088461,39259108,39519468,39686573,39705168,39843614,40244030,40460700,40521701,40925375,40932254,41252778,41304221,41310555,41551478,41659638,41768309,41866575,42327294,43000516,43071062,43158080,43948253,44064592,44168152,44259149,44388830,44657680,44668314,44695973,45121668,45322372,45702782,45801741,46043608,46494744,46841294,46873565,46894360,46974269,47393021,47641949,47989469,48167500,48292836,48552840,48597773,48866441,48937119,48965061,49110450,49357373,49376621,49572666,49689171,49739416,50239890,50393741,50615992,51490840,51525230,51789696,51799059,51807881,52101028,52106781,52127798,52306587,52374638,52384480,52695701,52756155,53266596,53589216,53669541,53772830,54077572,54621945,54858149,54997661,55260461,55848333,55910861,55956843,55980854,56084440,56219501,56248278,56273232,56300894,56468901,56665829,56690765,56942991,57623141,57690974,57801000,57927195,58047758,58258475,58263408,58286174,58527062,58932540,59006030,59042318,59153775,59642921,59866581,60287868,60943636,61168301,61339915,61654400,61789008,61830276,62604761,62635672,62861376,63094995,63097360,63307386,63499576,63851390,64071821,64078973,64527396,64573934,64591541,64870142,65026125,65546334,66043934,66474473,66583533,66874934,66917188,67301328,67789275,67996745,68028918,68173118,68422601,68754473,69244949,69361200,69425390,69512634,69910170,69962693,70203261,70465131,70503501,70538030,70719048,70807236,70979741,70984530,71018078,71197865,71437023,71602958,72079672,72115013,72222341,72308560,72664207,72770104,73049955,73240694,73494021,73607898,73985280,74430040,74496772,74570848,74749934,74795861,75713994,75716832,76351781,76367032,76504265,76621668,77074532,77586341,77644461,77916758,77919952,78031350,78319181,78616745,78917632,79116501,79143965,79459181,79558929,79997133,80028521,80117261,80203574,81089631,81103192,81347130,81528941,81596094,81866367,82000984,82260158,82392389,82697054,82918533,83233440,83310468,83348765,83444415,83527862,83733795,83892204,84396365,84406973,84645636,84796696,85044075,85181436,85240101,85254014,85306121,85437438,85541129,85818333,85912911,85995773,86770272,87142949,87278813,87336029,87628450,87659946,87887342,88067741,88176772,88294973,88782336,89007376,89043652,89316048,89704493,89934341,90127533,90224381,90713680,90794294,91170665,91186781,91241091,91541390,91805118,92251107,92273630,92661581,93115373,93637620,93672836,94276745,94340094,94952541,94972758,94987973,95140694,95273942,95278436,95396283,95535620,96053198,96431741,96535275,96770392,96855245,97369865,97616556,97722638,97761621,97836149,98167214,98403881,98672021,98911565,99158061,99844563,99880128,...,103420488317810781177323791151709688626415477722626273930341168873000343041936791628136617840416076692999981116834594437626473259024290231504055255808485403366910752776648373343308352592446686587520646414764347444494753316553314593103367251787905413537597296205353776846828962014124396153139549796035041512534519543043495965673021381478340842293949729702287183762848516719729742682737290945388332904482902436659938842048418480336619987826086122810605365745001425992406358379485771421044886044627529615437412803451115825908840130163391106562513269998296238524685254771004781998522710636213719133686514806336988699363404489106008659722687645494730236212920223339662598624602404023404781064676264447957177242646404076702329879214045245329106458099164322612407974145409928903502397018517319119775851021380667270613842404607769914003653160626782152937031166464344329701945116154605547009672691871853441048948129495734339106674856839925881934627284632805396701269950653020943607073627346832624253717586171452552216784428785585983933561798759221766724916229025958925666952837770281826017686363076645218537314204198064904614798697149033875660309314842826591435015892811610752911240517700665325561498211773431408002178150164200139392700384723759474828070050212038388020817655794493459783562395051296105222426099844504813804172286880024270909619576238874662500200001264331357560583787160305685491001643506150655292758584211018631242993498059142393115438932586959133241988509409397790678652037737149095222556737652970134333100028121026666180784977761823767978991598887038266000839356457521889075312138482901944816216964849787952943811133397763241337509840107210509802238771257468193238001329460356500342681475602738745065812897570323445052394134962923742010130833149726819558964217392390443205721861777784888087958744614138692835297814892579494961191857855567372452504573034707099042471730577485979596471992382232474159145291210506362719522109071078227530863599133806598351522106096686613879644043927796602149186141460145746065270060165983568466458374187926888888293187632972192809815308239027410111041683573194563688183067887291167250955499778617178251627742891123546510533858103084233586621556797439817878212866997280282233738294367469708150079994790970575670950507270237470988073545585244002635305889736527814760177026881528904608333715220318428533401944214278293411759173662351933381590586290293159482663719552124607331641832737940057922694879617594926197231695608567653079272831705942015387691569189092576554688303813482659007137665595980746060799630331657867201224412775099970522851951702424071107352854480980058291051374340663755816888706436830377118773287461711507941926389787164210927914575109817747914018046750371433675175974221586779144235412575205931092137457518116249484054053455202412774199784611462428293528891607530227950190939150522680295079319100470965724754521994824265914695749060131477101323881501752998842666688052944602911045526968427546053268882491225423968725961284093495108399661982721383523653317617148225133779760287544728460239469923173111172498515532}
19292  18740156425428366824467276295628220801107569539547775717488240426347916: {57867,366187,655282,827707,886282,1173091,1194058,1402987,1517827,1578418,2004392,2039122,2090947,2234044,2254941,2269258,2729098,2890291,2928584,3035338,3180045,3188362,3294657,3392048,3816054,4026091,4105162,4181458,4252387,4591291,4721885,4867402,4913085,5240624,5379547,5666262,5697704,5704018,5779978,5895702,5940427,6409917,6745550,6993921,7056787,7168027,8051338,8094660,8165947,8209468,8634304,8766485,9106378,9302097,9377707,9636500,9713592,10038268,10301384,10384913,10519782,10533202,10683058,10927791,11073925,11220392,11233291,11406844,11450227,11563800,11589057,11775091,11804938,12028882,12075393,12138824,12334720,12523550,12550858,12622941,12768717,12772828,13009275,13175347,13288710,13562085,13656177,13710667,13876560,13924291,14112082,14174624,14244187,14334538,14466224,14801664,14835590,14988091,15028260,15288645,15611130,15728467,15806792,15833947,15887698,15946452,16030144,16256458,16274502,16307888,16651872,17782641,17802708,17930129,18007165,18033912,18136291,18314122,18346374,18421293,18733356,18899722,18964867,19113148,19377427,19480387,19563868,19891507,20286418,20288151,20403787,20461845,20504842,20885165,21036045,21193700,21219691,21377098,21594802,21608598,21825968,22233091,22391818,22438448,22535707,22579077,22783397,23038627,23114698,23439667,23739691,24339922,24554214,24735091,25058482,25062198,25243254,25432440,25526227,25614470,25633729,25920067,26027661,26434324,27127936,27192091,27352829,27386707,27845578,27968827,28451947,28485298,28611495,28627282,28643601,28951685,29062245,29123722,29406844,29412787,29477842,29634645,29795107,29827281,29835950,29902258,30271387,30386504,30518928,30556291,30608338,30737364,30745867,30960778,30999728,31218547,31501291,31594162,31610288,31624444,31805002,32085494,32296402,32439091,32547710,32625787,33486538,33554947,33765898,33832291,33834844,34099525,34184817,34333794,34393522,34476907,34568707,34742022,34744445,34874694,35391667,35561574,35783602,35803140,35846347,35937067,35991562,36494085,36592100,36917308,37305298,37419393,37718962,37763320,37925578,38181667,38190016,38359291,38493237,38556518,38647133,38681938,38802091,38927024,39057252,39075470,39243091,39710218,40119691,40212021,40288157,40325458,40381267,40682901,40919430,41032565,41359550,41693334,41732668,42123944,42163402,42434698,42475521,42483735,42604444,42706291,42963768,43179442,43300507,43449778,43521989,43647392,43792902,43854802,43909948,43910520,44227147,44288993,44393938,44461258,44645467,45002001,45054485,45061987,45066418,45228091,45315984,45836420,46005202,46080028,46264985,46612424,46750845,46807378,46837888,46874122,46890564,47389437,47407498,47508392,48249067,48334239,48432025,48519813,48802738,49001482,49073885,49103316,49128187,49239078,49399335,49464658,49631460,49683091,49867568,50059018,50312947,50388658,50575875,50980482,50981002,51249091,51375178,51768778,51834322,51867427,51948957,52117948,52251547,52299533,52438977,52692624,52786291,52815562,52940224,53014387,53337418,53446941,53694787,53750645,53920291,53947600,54065382,54443947,54767242,54806213,54889987,55003704,55080740,55091122,55210190,55302377,55517982,55546184,55562129,55822100,55993747,56060362,56101014,56402085,56436392,56648227,56652965,56833162,56865091,56897458,57009307,57282898,57368587,57554510,57583291,57797347,57811917,58081747,58118430,58617950,58627402,58755082,58888662,59279202,59486467,59557752,59583442,59765421,60091858,60162224,60209375,60246787,60366045,60384091,60472498,60521107,60691050,61068988,61201867,61398381,61404691,61741291,61879167,61992992,62174270,62209507,62276107,62327217,62489457,62872267,62995378,63069713,63269990,63397291,63490941,63592987,63673841,63684682,63723091,64047091,64363550,64390448,64434442,64500774,64606593,64737120,65126285,65135227,65181898,65244082,65249492,65286748,65480600,65740978,65765587,65953291,66096888,66112978,66252228,66298762,66484402,66583245,66697627,66821153,66986520,67002471,67040458,67188091,67595218,67596965,67682502,67975267,67983558,68179958,68215027,68332882,68554173,68868427,69052928,69065412,69068242,69129418,69162547,69454867,69475708,69687427,69742116,69861091,70105550,70149091,70261941,70341540,70549267,70965293,71002291,71022128,71170987,71450707,71452288,71559388,71562091,71623858,71684362,71750861,71805322,72167818,72251250,72439254,72551587,72829260,73131658,73358347,73665675,73791922,73992091,74197109,74358999,74464444,74609124,74997704,75030976,75127027,75177787,75291868,75359835,75582802,75880867,75923988,76179545,76295122,76374427,76423387,76472842,76521091,76860787,77068000,77149147,77236260,77241298,77287845,77482291,77684544,77881454,78065842,78091627,78151542,78191697,78294590,78418258,78476938,78561957,78576720,78643291,78870091,78871700,79374470,79407067,79530442,79822108,79899894,80063707,80278987,80383824,80619691,80659245,80704147,80752978,81116358,81163507,81369427,81390538,82332787,82385344,82429642,82440368,82774858,82837291,82951987,83004682,83329627,83478667,83589691,83646485,83815168,83971281,84035722,84126660,84206587,84242227,84313291,84372417,84384067,84409848,84419347,84451341,84674093,84834058,84837091,85175242,85177291,85277621,85344691,85345618,85411147,85771507,85996291,86036528,86248867,86534218,86536461,86701500,86710027,87071637,87154987,87266482,87270907,87395112,87429261,87639691,87695347,87715762,87778291,87790593,87860587,88262347,88387762,88398810,88443658,88506902,88509045,88563477,88647907,88698091,88747987,88778044,88778698,88822291,88871467,89113162,89224522,89254507,89416291,89596867,89735104,90099590,90212827,90243461,90312907,90385700,90389938,90431802,90507667,90705224,90840091,90893227,90962630,90980347,91014691,91048747,91167293,91373467,91415454,91465267,91569091,91641091,91779691,91819867,91872427,91911091,92011027,92035291,92261842,92262091,92293627,92394067,92426122,92432227,92478307,92481600,92522587,92589691,92683512,92688907,92693237,92745414,92782147,92800291,92829091,92845507,92913547,92938387,92953507,92980291,92994691,92999947,93011827,93027091,93037550,93044227,93045091,93045307,93120965,93213560,93354322,93517642,93588638,93604348,93898162,93953508,94004668,94280537,94292064,94409648,94494538,94646040,94961079,95249364,95304658,95458790,95777085,95789002,95981921,96343165,96593362,96791094,96860901,96967498,97305213,97399940,97992028,98143864,98319501,98350282,98647040,98720722,98826418,99065901,99088913,99353938,99511882,...,155130732476716171765985686727564532939623216583939410895511753309500514562905187442204926760624115039499971675251891656439709888536435347256082883712728105050366129164972560014962528888670029881280969622146521166742129974829971889655050877681858120306395944308030665270243443021186594229709324694052562268801779314565243948509532072217511263440924594553430775644272775079594614024105936418082499356724353654989908263072627720504929981739129184215908048617502138988609537569228657131567329066941294423156119205176673738863260195245086659843769904997444357787027882156507172997784065954320578700529772209505483049045106733659012989584031468242095354319380335009493897936903606035107171597014396671935765863969606115053494818821067867993659687148746483918611961218114893355253595527775978679663776532071000905920763606911654871005479740940173229405546749696516494552917674231908320514509037807780161573422194243601508660012285259888822901940926949208095051904925979531415410610441020248936380576379257178828325176643178378975900342698138832650087374343538938388500429256655422739026529544614967827805971306297097356922198045723550813490463972264239887152523839217416129366860776550997988342247317660147112003267225246300209089050577085639212242105075318057582031226483691740189675343592576944157833639149766757220706258430320036406364429364358311993750300001896497036340875680740458528236502465259225982939137876316527946864490247088713589673158398880438699862982764114096686017978056605723642833835106479455201499650042181539999271177466642735651968487398330557399001259034686282833612968207724352917224325447274681929415716700096644862006264760160815764703358156886202289857001994190534750514022213404108117598719346355485167578591202444385613015196249724590229338446326088585664808582792666677332131938116921208039252946722338869242441787786783351058678756859552060648563707595866228969394707988573348711238717936815759544079283163606617341296295398700709897527283159145029920819466065891694903223779212190218619097905090248975352699687561281890333332439781449458289214722962358541115166562525359791845532274601830936750876433249667925767377441614336685319765800787154626350379932335196159726817319300495920423350607441551204562225119992186455863506425760905356206482110318377866003952958834604791722140265540322293356912500572830477642800102916321417440117638760493527900072385879435439739223995579328186910997462749106910086884042319426392389295847543412851479618909247558913023081537353783638864832032455720223988510706498393971119091199445497486800801836619162649955784277927553636106661029281721470087436577061510995633725333059655245565678159931192567261912889584680746316391871862664726621871027070125557150512763961332380168716353118862808896638206186277174374226081080182803619161299676917193642440293337411295341925286408725784020442618978650706448587131782992236398872043623590197215651985822252629498264000032079416904366568290452641319079903323736838135953088941926140242662599492974082075285479976425722337700669640431317092690359204884759666758747773298}
19293  18814203712185463498153922436103992081719654652093329850476482192140751: {77156,982923,1329423,1753843,1791087,2367627,2505490,2562511,2792555,2968042,3006588,3058683,3256123,3351066,3403887,3660730,4093647,4240060,4392876,4553007,4585546,4782543,4872527,4985491,5088072,5510362,5565851,5724081,6157743,6272187,6550780,7122130,7301103,7555016,7757347,7860936,8499393,8546556,8556027,8669967,8843553,9013711,9325228,9513946,9817843,10118325,10261835,10621471,10753483,10792880,12045625,12077007,12141990,12314202,12402796,12547835,12657946,12876730,12951456,13127818,13523611,13659567,13830943,14025490,14026376,14258555,14269402,14454750,14513746,14570388,15003791,15057402,15173530,15240667,15418400,15452076,15711727,15779673,15799803,15966035,16024587,16100524,16734523,16823626,16830588,17024956,17110266,17345700,17707407,17718280,18043323,18082780,18198202,18208236,18227443,18480991,18502080,18785325,18826287,19097722,19159242,19633642,19735552,19758490,19933065,20037680,20384860,20506642,20814840,21168123,21261936,21310091,21501807,21699336,22202496,22253385,22267867,22542390,23416695,23500282,23710188,23736944,23831547,23891435,23919678,24045216,24189763,24200146,24384687,24411753,24450511,24454835,24461832,24561724,24977808,25618927,25791898,26069327,26310811,26492125,26588191,26704062,27050868,27124762,27282460,27431962,27471183,27519561,27659002,28048060,28100034,28115722,28319962,28349583,28669722,28811464,29345802,29481946,29527307,29961898,30105436,30429627,30567883,30757263,30846442,31790550,32065647,32293691,32392203,32412897,32731162,32738952,33042905,33416264,33465562,33587727,33657672,33909920,34061146,34577338,34587787,34672047,34703548,35456122,35513743,36509883,36758555,36812123,36831321,36858451,37587723,37593297,37864881,37983130,38148660,38191468,38421705,38707066,38749660,39263507,39512860,39530555,39651486,39769708,39847762,40691904,40785871,40936522,40983152,41569843,41768367,42293555,42727947,42940923,43075546,43634122,43685583,43753546,44110266,44216763,44531098,44574731,44753925,44853387,45579756,45740125,45778392,45912507,46106046,46146635,46168667,46322696,46441167,46499592,46979167,47160143,47204150,47391243,47415432,47436666,47707503,47737520,47889283,47932186,48128241,48374482,48444603,48602911,48658780,48821565,48854698,49362547,49381843,49789043,49892524,50229807,50648847,50752266,51324316,51500691,51590283,51813283,52076336,52113033,52165835,52306267,52312041,52544591,52641946,52654930,53255555,53342361,53616028,53675403,53704710,53894842,53987343,54243868,54559240,54887435,54888150,55266223,55375962,55591112,55835891,55957947,55986682,56128427,56259467,56341642,56578443,56634028,56644980,56714827,56888367,57285024,57295525,57600035,57665807,57834777,58022907,58265530,58292242,58390536,58533178,58547360,58585878,58613205,58732091,59385490,59444171,59565327,59978987,60002668,60421312,60488187,61129402,61379145,62039325,62144362,62334460,62520752,62540001,62599002,63114202,63185916,63245103,63652047,63895571,63906666,64445652,64693084,64769163,64876906,65147435,65174667,65471088,65527667,65622991,65652104,65689353,65782203,65864922,65865780,66175280,66590907,66691887,66801946,66968707,67434500,67599627,67723882,67973976,68180242,68754630,68850925,69007803,69120042,69168346,69265276,69432730,69777625,69918636,69925787,69970027,70211067,70256832,70311183,70335846,70545490,71111247,71262588,72087176,72135322,73204107,73338272,73502223,73654974,73858617,74023976,74196987,74447190,74754863,74801352,75088527,75202780,75281962,75582987,75721243,76336235,76470723,76471503,77062767,77082556,77347331,77491240,77653167,77751483,78051922,78176922,78518216,79038936,79223343,79367071,79373146,79410336,79621487,79687228,80006127,80133731,80273807,80488060,80719087,80921400,81043402,81098073,81561865,81608435,81850750,81864508,82150863,82505556,82608442,82621110,82636683,82815285,83102956,83276973,83319276,83536618,83733150,83814047,84090543,84151521,84271643,84654588,85007123,85249743,85346187,85875881,85924347,86001032,86142124,86316160,86331765,86419763,86844635,87177645,87896506,87926925,87941103,88129184,88132623,88332993,88336304,88518298,88670987,88777660,88918803,89315360,89336628,89375163,89391946,89449235,89713867,90137787,90233923,90243336,90644744,90708747,91036575,91405564,91603482,91802447,92087216,92989488,93080555,93261405,93682588,93747130,93788720,93948538,94114835,94493067,94786042,94904985,95195443,95283898,95527023,95978938,96250031,96335000,96545325,96585672,96651663,96751161,97105680,97195546,97732882,97772847,97866123,97874238,97930122,98220900,98589625,98611467,98714746,98753242,99073007,99145332,99169467,99378342,99448143,99478832,99677011,99726603,99777635,...,232696098715074257648978530091346799409434824875909116343267629964250771844357781163307390140936172559249957512877837484659564832804653020884124325569092157575549193747458840022443793333005044821921454433219781750113194962244957834482576316522787180459593916462045997905365164531779891344563987041078843403202668971847865922764298108326266895161386891830146163466409162619391921036158904627123749035086530482484862394608941580757394972608693776323862072926253208482914306353842985697350993600411941634734178807765010608294890292867629989765654857496166536680541823234760759496676098931480868050794658314258224573567660100488519484376047202363143031479070502514240846905355409052660757395521595007903648795954409172580242228231601801990489530723119725877917941827172340032880393291663968019495664798106501358881145410367482306508219611410259844108320124544774741829376511347862480771763556711670242360133291365402262990018427889833234352911390423812142577857388969297123115915661530373404570864568885768242487764964767568463850514047208248975131061515308407582750643884983134108539794316922451741708956959445646035383297068585326220235695958396359830728785758826124194050291164826496982513370976490220668004900837869450313633575865628458818363157612977086373046839725537610284513015388865416236750458724650135831059387645480054609546644046537467990625450002844745554511313521110687792354753697888838974408706814474791920296735370633070384509737598320658049794474146171145029026967084908585464250752659719182802249475063272309998906766199964103477952731097495836098501888552029424250419452311586529375836488170912022894123575050144967293009397140241223647055037235329303434785502991285802125771033320106162176398079019533227751367886803666578419522794374586885344007669489132878497212874189000015998197907175381812058879420083508303863662681680175026588018135289328090972845561393799343454092061982860023066858076905223639316118924745409926011944443098051064846290924738717544881229199098837542354835668818285327928646857635373463029049531341922835499998659672174187433822084443537811672749843788039687768298411902746405126314649874501888651066162421505027979648701180731939525569898502794239590225978950743880635025911162326806843337679988279683795259638641358034309723165477566799005929438251907187583210398310483440035368750859245716464200154374482126160176458140740291850108578819153159608835993368992280366496194123660365130326063479139588583943771315119277219428363871338369534622306030675458297248048683580335982766059747590956678636799168246230201202754928743974933676416891330454159991543922582205131154865592266493450587999589482868348517239896788850892869334377021119474587807793997089932806540605188335725769145941998570253074529678294213344957309279415761561339121620274205428741949515375790463660440006116943012887929613088676030663928467976059672880697674488354598308065435385295823477978733378944247396000048119125356549852435678961978619854985605257203929633412889210363993899239461123112928219964638583506551004460646975639035538807327139500138121659947}
19294  18888541487308215427723506988743316481335955331639695053840568120051393: {96445,115734,732374,1310564,1594513,1655414,1772564,2167453,2346182,2388116,2510353,2624509,2805974,3035654,3156836,3307933,3758235,4008784,4078244,4181894,4452063,4468088,4509882,4538516,4892509,5005153,5026599,5300075,5342653,5458196,5491095,5567293,5780582,5857168,6070676,6360090,6376724,6574609,6589314,6610639,6784096,6878319,7242913,7632108,8052182,8188475,8210324,8265543,8362916,8504774,9182582,9232273,9443770,9734804,9780733,9826170,10481248,10545553,10683195,10759094,11089693,11332524,11395408,11408036,11559956,11656535,11791404,11880854,12273079,12603709,12819834,13033693,13491100,13987842,14113574,14270919,14316733,14336054,15503495,16102676,16189320,16221853,16331894,16418936,17268608,17270173,17478973,17532970,17999713,18212756,18212985,18471303,18604194,18755414,18986919,19273000,19315095,19345213,19427184,19691727,20064673,20076536,20125655,20602768,20769826,20882593,21038235,21039564,21066404,21086353,21281195,21366116,21404103,21682125,21770619,21855582,21999709,22147850,22440784,22466582,22586103,22603475,22760295,22813688,22900454,23127600,23178114,23509009,23550182,23609876,24057764,24150786,24277648,24605533,24669440,25047100,25101716,25210031,25235439,25245882,25481075,25537434,25545656,25665399,26018550,26350694,26479009,26577420,26870113,27124170,27297303,27312354,27421334,27753120,27848582,28224164,28349248,28488374,28519453,28646583,28669076,28738863,28904509,28932448,29239231,29384209,29450463,29603328,29637735,29671180,29862109,29976182,30056520,30243133,30294407,30577290,30702155,30759963,31222260,31456934,31613584,31661713,31667894,31775396,31849633,31892904,32060288,32512916,32549004,32615776,32691709,33064093,33157009,33303744,33813585,34103075,34174333,34633873,35060075,35250423,35547553,35565282,35605416,35860258,35879517,35911009,36014330,36067824,36272582,36273313,36300219,36628244,36692748,36842586,37466712,37631795,37799444,37929734,38226296,38600209,38687847,38688733,38754854,38960774,39127736,39783014,39832993,39920509,40056093,40444093,40532359,40572836,40576302,40687143,40704913,40807574,40878433,40923690,41009684,41147943,41488503,41770330,42072090,42150051,42173583,42387400,42427153,42439382,42479943,42754196,43004583,43189604,43217196,43277473,43379435,43651936,43699933,43868413,44018703,44222919,44288353,44466182,44623009,44783636,44876896,44942847,45071414,45158154,45371773,45566794,46077254,46196893,46229396,46269663,46770193,46879334,47014813,47479382,47685825,47739335,48437075,48642223,48679844,49096743,49108428,49391075,49425373,49470182,49712135,50116964,50124396,50198343,50486508,50864880,51052454,51074209,51091719,51228940,51267458,51384673,51539473,51771133,51840134,51866007,52055322,52868648,53071633,53184183,53569967,53676433,54127009,54201853,54255872,54384182,54705658,54773414,55168273,55610209,55683613,55691156,55937654,55976509,56776033,56903894,56970596,56974695,57222990,57254564,57287202,57445591,57903370,58060599,58124490,58247444,58490209,58813688,58825574,58842109,58955684,59122333,59262013,59269290,59470993,59477229,59590214,59654562,59671900,59771643,59804516,59817853,60162913,60231709,60542774,60773008,60823475,61037856,61112582,61192571,61216676,61255009,61404783,61474728,61491734,61808539,61921556,61999456,62365655,62437094,62660413,62924509,63002582,63076279,63188324,63220576,63248888,63514513,63579709,63610004,63839773,64155395,64170988,64592804,64613319,64770979,64868509,64878182,65095420,65251574,65451183,65502109,65630319,66066193,66165399,66190753,66377053,66796647,66809233,66973076,67020035,67054609,67109894,67531796,67664582,67669688,67804835,67964509,68199050,68323933,68369634,68621473,68667588,68703439,68787044,68917213,68953814,69093793,69137414,69159069,69484044,69488890,69749388,70254433,70783334,70792535,70806225,71123148,71154999,71162209,71218333,71567204,71606280,71692694,71874134,71898279,71941393,71983124,72271009,72561723,72988170,73184200,73282047,73616509,73827613,73834616,74142109,74610596,74838786,74865853,74917009,74968093,75003335,75171709,75250903,75437924,75526640,75851156,76123153,76128399,76363334,76380032,76467133,76718582,76986474,77113036,77294266,77363876,77604182,77619709,77807773,77854048,77918075,78114504,78150940,78319009,78486182,78594193,78962919,78982395,79002109,79226209,79314151,79420436,79625053,80147773,80239382,80424042,80557065,80576314,80650916,80702353,80762534,80786593,80842263,80866355,80995933,81365802,81572509,81775009,81838860,81935713,82065130,82214173,82332225,82719100,82990333,83063943,83386668,83465336,83479393,83664253,83980023,84100573,84247888,84293125,84326804,84512463,84869396,84907873,84951042,84967470,84976273,85208888,85280509,85412582,85611709,85774609,85903633,85927536,86126653,86283793,86358884,86581595,86601014,86834593,86899556,87013009,87042493,87043978,87294784,87333373,87398295,87438363,87476113,87585804,87589009,87709604,87799767,87819896,87821040,87878817,88373053,88399009,88454294,88527709,88577986,88779709,88787876,88922516,89078235,89167933,89290934,89737633,89952913,90004002,90016093,90108970,90123974,90132836,90456182,90612253,90631968,90723709,90742033,91076509,91176799,91225873,91624609,91672840,91694103,91778653,92010404,92024209,92096353,92131453,92154493,92160056,92359009,92398753,92408509,92446813,92456209,92529970,92580193,92596753,92697373,92828413,92867473,92888209,92912509,92988433,93020509,93030013,93040273,93055393,93216543,93224848,93501690,93614756,93675776,93748244,93781128,93898503,94003475,94635751,94671303,94778874,94814996,95016784,95404991,95859999,96353195,96498134,96668478,96864050,97039626,97315359,97605476,98002964,98147770,98206632,98256374,98478156,98797383,98798670,98929316,99262920,99366182,99609035,99735136,...,310261464953432343531971373455129065879246433167878821791023506619001029125810374884409853521248230078999943350503783312879419777072870694512165767425456210100732258329945120029925057777340059762561939244293042333484259949659943779310101755363716240612791888616061330540486886042373188459418649388105124537603558629130487897019064144435022526881849189106861551288545550159189228048211872836164998713448707309979816526145255441009859963478258368431816097235004277977219075138457314263134658133882588846312238410353347477726520390490173319687539809994888715574055764313014345995568131908641157401059544419010966098090213467318025979168062936484190708638760670018987795873807212070214343194028793343871531727939212230106989637642135735987319374297492967837223922436229786710507191055551957359327553064142001811841527213823309742010959481880346458811093499393032989105835348463816641029018075615560323146844388487203017320024570519777645803881853898416190103809851959062830821220882040497872761152758514357656650353286356757951800685396277665300174748687077876777000858513310845478053059089229935655611942612594194713844396091447101626980927944528479774305047678434832258733721553101995976684494635320294224006534450492600418178101154171278424484210150636115164062452967383480379350687185153888315667278299533514441412516860640072812728858728716623987500600003792994072681751361480917056473004930518451965878275752633055893728980494177427179346316797760877399725965528228193372035956113211447285667670212958910402999300084363079998542354933285471303936974796661114798002518069372565667225936415448705834448650894549363858831433400193289724012529520321631529406716313772404579714003988381069501028044426808216235197438692710970335157182404888771226030392499449180458676892652177171329617165585333354664263876233842416078505893444677738484883575573566702117357513719104121297127415191732457938789415977146697422477435873631519088158566327213234682592590797401419795054566318290059841638932131783389806447558424380437238195810180497950705399375122563780666664879562898916578429445924717082230333125050719583691064549203661873501752866499335851534754883228673370639531601574309252700759864670392319453634638600991840846701214883102409124450239984372911727012851521810712412964220636755732007905917669209583444280531080644586713825001145660955285600205832642834880235277520987055800144771758870879478447991158656373821994925498213820173768084638852784778591695086825702959237818495117826046163074707567277729664064911440447977021412996787942238182398890994973601603673238325299911568555855107272213322058563442940174873154123021991267450666119310491131356319862385134523825779169361492632783743725329453243742054140251114301025527922664760337432706237725617793276412372554348748452162160365607238322599353834387284880586674822590683850572817451568040885237957301412897174263565984472797744087247180394431303971644505258996528000064158833808733136580905282638159806647473676271906177883852280485325198985948164150570959952851444675401339280862634185380718409769519333517495546596}
19295  18963170882229773104517948998020543789302652891955693151723621740046812: {154312,173601,1098561,1638205,1965846,2215705,2332033,2483121,2658846,2985145,3507686,3519273,3582174,3602929,3909577,3946045,4208961,4553481,4735254,5010980,5097805,5125022,5585110,5673145,5758441,5936084,6013176,6117366,6220657,6272841,6512246,6702132,6764823,6807774,6822745,7321460,7588345,7970905,8187294,8480120,8670873,8785752,9106014,9171092,9489757,9540135,9565086,9745054,9883971,9945529,9970982,10176144,10182721,10262905,10453645,11020724,11131702,11211673,11448162,12078273,12168505,12315486,12544374,12757161,13101560,13408189,13773873,14165655,14244260,14260045,14366569,14449945,14602206,14739255,15005353,15110032,15365569,15426433,15514694,15721872,16138641,16178317,16863875,16998786,17093112,17112054,17339934,17566969,17687106,17731753,17821281,18027422,18134833,18650456,19027892,19229751,19276657,19635686,19961977,20128345,20236650,20523670,20981763,21170361,21242942,21312313,21504081,21506966,21585760,21732073,21881329,22352449,22765945,23182849,23427961,24091250,24154014,24283980,24497841,24628404,24805592,25095670,25184653,25315892,25753460,25902912,26072041,26195497,26255636,26299455,26333005,26707645,26762329,26953033,27047222,27319134,27661886,27906291,28050980,28052752,28133121,28517110,28538804,28909500,29027492,29140776,29512345,29530381,30007582,30072205,30114804,30347060,30481334,30836800,30904152,31154739,31308875,31377145,31423454,31559346,31563673,31599606,31629469,31932070,32049174,32201048,32297053,32783373,32863177,33221775,33407929,33448009,33469046,33647252,33661176,33699873,33868993,34049912,34220532,34236769,34283953,34350681,34691400,34767171,35280205,35325273,35414814,35436560,35836345,36086646,36165560,36226179,36396404,36416472,36454886,36961982,37004160,37011889,37088975,37570650,37652574,37868823,38195444,38306151,38318484,39027825,39267284,39267601,39471104,39516980,39526041,39719245,39866130,40075360,40641145,40686255,40769720,40968531,41013284,41132001,41142961,41361529,41629680,41772873,42336246,42523872,42620182,42732561,43003614,43398672,44268433,44404992,44506770,44535734,44579389,44964273,45084780,45225457,45785305,45865935,46173481,46260067,46833390,47000564,47185401,47249305,47420376,47473888,47501841,47663094,47782870,47839356,48041641,48090432,48379526,48400292,48769374,48823506,48827713,48901022,48909670,48923664,49123448,49352713,49818817,49955616,50716045,51033949,51237854,51262105,51461977,51583796,52138654,52621622,52984250,53176382,53347923,53408124,53442745,53790387,53987005,54021495,54101736,54249524,54408873,54564920,54863924,54942366,55039122,55263879,55318004,55342777,55841713,55979545,56096120,56200068,56231444,56639924,56677753,56699166,56894601,57239881,57339444,57408733,57622928,57671833,57786745,58132281,58441161,58559593,58691604,58963892,59054614,59150113,59210977,59674521,59923796,59985241,59999353,60210872,60400969,60555277,60849805,60859254,60864453,61135766,61211361,61385535,61514526,61692884,61975489,62012173,62098153,62646205,62655495,63108135,63543769,63581100,63659073,63902269,64036175,64131294,64544257,64587382,64605289,64784406,64825794,64906633,65462324,65477904,66085810,66407233,66488461,66699273,66832528,66931124,67175454,67315344,67607121,67737231,67819840,68122292,68350191,69115881,69154676,69175574,69344094,69407096,69410653,69613945,70236529,70319001,70488937,70912244,71027486,71213245,71219073,71412697,71568205,71589709,72809305,73019766,73032169,73336801,73517110,73517809,73624246,73662642,73694605,73716902,74205273,74557777,74589875,74755645,75175446,75186594,75729762,75966260,76187389,76297320,76367929,76382936,76520845,76578681,76842409,76843410,76901187,77401945,77414132,77499320,77591833,77760201,77994589,78082983,78527014,78985405,79025720,79061110,79302972,79512505,79539416,79695524,80213735,80235481,80640049,80741005,81369275,81383808,81571742,81576273,81873044,81966304,82058487,82160121,82535041,82994953,83139686,83536734,83716345,83822833,83906481,84414745,84587110,84691681,85355841,85455894,85834485,85881846,85930803,85983805,86151092,86447017,86855055,86928157,87186735,87268244,87297121,87371166,87507092,88220532,88238361,88433526,88680253,88903935,89062196,89149462,89290777,89385321,89459005,89475709,89481843,89507850,89706774,89978905,90814161,91129849,91159512,91206409,91480250,91556784,91668873,91825014,92212092,92237601,92293270,92337334,92645392,92882334,92996401,92999184,93263245,93655641,93958334,94098121,94297405,94320286,94408300,94503873,94782486,94813945,94830864,94873332,95007961,95415006,95475040,95778566,95864372,96256482,96260089,96391295,96704845,96748964,96889206,96924349,97205822,97317273,97317560,97643130,97688675,97709396,97877361,98049097,98725094,98763686,99080617,99275545,99578086,99785048,...,465392197430148515297957060182693598818869649751818232686535259928501543688715562326614780281872345118499915025755674969319129665609306041768248651138184315151098387494917680044887586666010089643842908866439563500226389924489915668965152633045574360919187832924091995810730329063559782689127974082157686806405337943695731845528596216652533790322773783660292326932818325238783842072317809254247498070173060964969724789217883161514789945217387552647724145852506416965828612707685971394701987200823883269468357615530021216589780585735259979531309714992333073361083646469521518993352197862961736101589316628516449147135320200977038968752094404726286062958141005028481693810710818105321514791043190015807297591908818345160484456463203603980979061446239451755835883654344680065760786583327936038991329596213002717762290820734964613016439222820519688216640249089549483658753022695724961543527113423340484720266582730804525980036855779666468705822780847624285155714777938594246231831323060746809141729137771536484975529929535136927701028094416497950262123030616815165501287769966268217079588633844903483417913918891292070766594137170652440471391916792719661457571517652248388100582329652993965026741952980441336009801675738900627267151731256917636726315225954172746093679451075220569026030777730832473500917449300271662118775290960109219093288093074935981250900005689491109022627042221375584709507395777677948817413628949583840593470741266140769019475196641316099588948292342290058053934169817170928501505319438365604498950126544619997813532399928206955905462194991672197003777104058848500838904623173058751672976341824045788247150100289934586018794280482447294110074470658606869571005982571604251542066640212324352796158039066455502735773607333156839045588749173770688015338978265756994425748378000031996395814350763624117758840167016607727325363360350053176036270578656181945691122787598686908184123965720046133716153810447278632237849490819852023888886196102129692581849477435089762458398197675084709671337636570655857293715270746926058099062683845670999997319344348374867644168887075623345499687576079375536596823805492810252629299749003777302132324843010055959297402361463879051139797005588479180451957901487761270051822324653613686675359976559367590519277282716068619446330955133598011858876503814375166420796620966880070737501718491432928400308748964252320352916281480583700217157638306319217671986737984560732992388247320730260652126958279177167887542630238554438856727742676739069244612061350916594496097367160671965532119495181913357273598336492460402405509857487949867352833782660908319983087845164410262309731184532986901175999178965736697034479793577701785738668754042238949175615587994179865613081210376671451538291883997140506149059356588426689914618558831523122678243240548410857483899030751580927320880012233886025775859226177352061327856935952119345761395348976709196616130870770591646955957466757888494792000096238250713099704871357923957239709971210514407859266825778420727987798478922246225856439929277167013102008921293951278071077614654279000276243319894}
19296  19038093032758575141400124178324435918334790548793577379081210132680880: {135023,192890,231468,443279,558743,712583,904703,1134983,1464748,1594679,1709423,2167679,2621128,2662823,2948769,3004823,3189026,3310828,3545128,3988269,4253279,4328663,4334906,4692364,4776232,5020706,5249018,5261529,5373261,5380679,5611948,6016343,6071308,6263725,6313672,6389183,6612503,6615866,7102881,7169543,7243679,7420105,7502903,7516470,7687533,8017568,8156488,8363788,8377665,8609423,8904126,8936176,9019764,9077032,9151825,9176049,9379703,9452879,9562583,9768369,9785018,9818279,10010306,10053198,10211661,10255703,10600150,10685306,10800863,10916392,10982190,11134586,11463865,11524943,11561164,11714336,12141352,12280941,12281783,12720180,12753448,13149218,13178183,13178628,13221278,13568192,13659021,13756638,13775905,13784879,14034023,14318279,14347629,14485826,14617581,14956473,15264216,15485423,15731879,15802223,15907679,16104364,16258679,16319149,16376950,16420648,16531086,16697553,16725832,17009548,17062943,17172243,17724143,17805325,18001679,18365164,18451583,18464546,18473229,18816561,18887540,18969023,19381679,19469608,19561466,19652340,19964303,20918879,20962496,21088679,21091106,21366390,21518188,21704893,21903309,22179386,22338983,22540703,22665048,22790816,22816072,23110679,23119912,23272041,23313070,23511623,23582808,23711663,23761708,23784865,24508943,24546158,24608279,25207418,25498179,25597679,25639668,25668081,26009901,26024183,26067386,26514623,26530659,26982200,27041133,27490103,27651983,27781343,27975684,28039679,28175917,28227148,28522679,28541838,28633466,28672108,28747463,28907783,29419463,29453529,29793673,29865503,29897303,30278279,30354975,30785505,31006990,31131263,31288583,31644865,31864413,32191825,32205352,32228303,32260449,32378640,32443706,32663788,32695463,32726543,32819545,32837872,33160823,33253679,34270343,34537216,34540346,34546103,34637879,34957946,35063725,35065940,35187023,35673505,35802481,35915183,35945423,35999426,36136875,36231021,36284365,36307679,36425512,36425970,36548543,36668783,36942606,37208388,37297943,37510828,37643505,37655879,37933825,37973838,38249879,38546000,38604743,38630190,38634263,38690426,38854368,39222983,39383454,39574679,40129346,40153072,40251310,40448879,40570833,40796543,40978701,41205536,41492829,41517143,41539652,41603279,41765186,42059065,42076470,42079128,42132808,42172706,42562390,42688103,42732232,42775665,42808206,42983017,43310879,43364250,43541238,43711164,43999418,44069903,44293679,44295700,44489063,44656223,44711879,44881568,44933164,45011373,45172206,45206950,45211343,45487703,45495505,45520590,45627376,45722001,45735743,45800908,45873263,46229879,46255200,46356228,46448663,46775879,47018018,47100364,47135181,47219752,47264543,47339019,47399409,47744305,47898105,47912063,48073761,48115528,48301572,48314423,48394679,48555296,49084105,49193279,49211066,49338880,49396225,49774343,49932143,50094200,50203432,50203569,50325383,50420062,50470878,50491764,50962150,51074868,51091312,51106463,51266605,51330798,51623183,51880343,52037100,52684513,52701388,52958018,53078279,53122221,53154840,53532383,53708279,53740226,53908823,54129969,54133823,54248340,54594606,54624708,54682329,54842668,55273703,55442973,55506240,55641743,55697164,55861703,55983623,56007983,56355975,56448328,56478861,56662679,56698496,56710943,56976748,57038906,57293166,57338152,57431063,57477726,57809018,57864896,58025663,58478462,58521263,58750705,58768418,58900926,58919879,59153279,59206656,59275470,59342360,59501879,59724218,59799195,59952364,60113040,60262463,60308279,60486266,60500365,60582503,60588814,60731209,60810143,61059623,61154580,61263023,61398263,61404310,61488263,61519926,62070143,62444520,62913868,62932823,62954783,63227168,63309961,63323426,63335788,63504369,63550792,63609863,63699266,63785808,63869879,63930273,64120576,64300679,64479745,64505421,64770863,64898423,65004503,65025832,65089223,65098008,65231552,65258279,65383418,65636783,66128186,66314018,66406679,66607488,66715679,66756743,66760155,66803601,66835069,67084103,67429679,67571303,67627170,67811905,67993823,68033879,68173823,68206150,68233679,68348666,68391697,68579905,68630879,68926679,69147505,69181583,69267746,69512879,69596989,69745343,70120150,70250085,70289305,70321463,70435823,70500846,70625783,70799905,71095106,71130564,71190863,71210832,71228279,71414879,71494641,71507879,71674305,71720516,71759034,71822018,72028660,72135648,72318493,72390503,72545164,72546626,72569289,72572063,72600438,72824903,72878879,73154061,73201223,73235259,73256488,73351533,73364505,73379183,73385496,73685172,73704865,74152703,74464679,74904745,74933424,74978879,75148679,75182543,75199463,75263590,75351383,75598888,75859468,75936023,76452592,76478279,76856781,77075903,77116105,77200418,77251463,77362679,77375694,77377466,77509708,77834879,77921548,78145679,78207981,78255472,78483863,78575423,78878543,78932433,79013903,79476375,79566028,79665986,79680983,79764573,79841018,79986743,80044583,80112186,80116703,80260343,80346143,80587679,80728679,80888186,81064718,81145672,81152604,81174503,81215879,81374286,81409826,81517103,81615148,81625679,81756866,81787583,81827905,81847380,81988343,82019368,82028279,82068143,82121183,82160879,82295886,82358279,82397543,82413549,82462823,82514903,82558683,82977006,83003279,83504879,83540660,83663905,83787503,83836223,84017783,84144180,84149783,84300102,84347166,84504863,84774800,84852743,84854306,84878764,84932879,84959886,85048749,85103279,85152865,85327679,85438679,85508392,85625543,85799303,85896143,86009166,86124049,86172263,86214263,86297879,86370623,86379208,86432663,86434392,86443345,86554946,86758870,86978063,87027383,87303872,87311917,87319103,87347879,87399866,87612983,87736826,87890063,87998879,88037406,88177679,88283423,88422623,88445838,88500023,88542743,88576706,88581921,88640305,88794863,88918223,88932364,89047823,89246018,89285303,89300879,89355143,89567272,89642879,89753792,89775143,89817553,89861879,89885694,89933279,90122063,90142828,90316308,90397583,90423743,90495023,90539879,90743546,90758279,90830903,90925943,91013183,91092983,91133588,91182263,91247879,91288881,91312343,91493783,91597943,91631879,91703649,91862879,91906679,91928279,92004383,92045543,92125463,92154508,92164223,92183303,92198423,92253983,92271789,92335679,92393786,92396663,92426183,92429423,92458792,92467679,92473943,92539326,92614679,92673023,92700743,92717879,92725103,92786879,92812463,92818679,92822783,92842823,92885879,92906663,92931023,92978279,93028679,93039383,93040223,93049679,93051143,93055343,93073703,93083063,93540386,93758668,93828049,94029626,94926769,94957825,94958764,95371650,95478670,96196941,96767665,96874150,96881073,97176609,97238691,97284446,97359688,98193486,98216856,98782150,98850746,98940364,99109549,99128715,99424270,99619405,...,698088296145222772946935590274040398228304474627727349029802889892752315533073343489922170422808517677749872538633512453978694498413959062652372976707276472726647581242376520067331379999015134465764363299659345250339584886734873503447728949568361541378781749386137993716095493595339674033691961123236530209608006915543597768292894324978800685484160675490438490399227487858175763108476713881371247105259591447454587183826824742272184917826081328971586218778759625448742919061528957092052980801235824904202536423295031824884670878602889969296964572488499610041625469704282278490028296794442604152383974942774673720702980301465558453128141607089429094437211507542722540716066227157982272186564785023710946387863227517740726684694805405971468592169359177633753825481517020098641179874991904058486994394319504076643436231102446919524658834230779532324960373634324225488129534043587442315290670135010727080399874096206788970055283669499703058734171271436427733572166907891369347746984591120213712593706657304727463294894302705391551542141624746925393184545925222748251931654949402325619382950767355225126870878336938106149891205755978660707087875189079492186357276478372582150873494479490947540112929470662004014702513608350940900727596885376455089472838931259119140519176612830853539046166596248710251376173950407493178162936440163828639932139612403971876350008534236663533940563332063377064261093666516923226120443424375760890206111899211153529212794961974149383422438513435087080901254725756392752257979157548406748425189816929996720298599892310433858193292487508295505665656088272751258356934759588127509464512736068682370725150434901879028191420723670941165111705987910304356508973857406377313099960318486529194237058599683254103660410999735258568383123760656032023008467398635491638622567000047994593721526145436176638260250524911590988045040525079764054405867984272918536684181398030362276185948580069200574230715670917948356774236229778035833329294153194538872774216152634643687597296512627064507006454855983785940572906120389087148594025768506499995979016522562301466253330613435018249531364119063304895235708239215378943949623505665953198487264515083938946103542195818576709695508382718770677936852231641905077733486980420530013039964839051385778915924074102929169496432700397017788314755721562749631194931450320106106252577737149392600463123446378480529374422220875550325736457459478826507980106976841099488582370981095390978190437418765751831313945357831658285091614015108603866918092026374891744146050741007948298179242772870035910397504738690603608264786231924801029250673991362479974631767746615393464596776799480351763998768448605045551719690366552678608003131063358423763423381991269798419621815565007177307437825995710759223589034882640034871927838247284684017364860822616286225848546127371390981320018350829038663788839266028091991785403928179018642093023465063794924196306155887470433936200136832742188000144357376069649557307036885935859564956815771611788900238667631091981697718383369338784659893915750519653013381940926917106616421981418500414364979841}
19297  19113309079095146335173851922751775203239476266974534813488535061257170: {289335,308624,347202,1830935,2197122,2293487,2756039,3101987,3276410,3931692,4026803,4138535,4179203,4258007,4431410,4664066,4783539,4966242,5317692,5524463,5865455,5970290,6502359,6952499,7014935,7015372,7038546,7136927,7164348,7205858,7531059,7589135,7819154,7834343,7873527,7892090,7942403,8417922,9106962,9470508,9551843,9923799,10021960,10144223,10195610,10250044,10454735,10606199,10623683,11159267,11170220,11274705,11346290,11516882,11753807,11872168,12026352,12234732,12441314,12545682,13024492,13250159,13356189,13404264,13529646,13615548,13645490,14062247,14164403,14368067,14451455,14635103,14642920,14677527,14985623,15015459,15079797,15176690,15428039,15900225,15941810,16027959,16370687,16374588,16473285,16690883,16701879,16960240,17035907,17173283,17294063,17341746,17571504,17733599,18212028,18231239,18342184,18979514,19019459,19080270,19130172,19490108,19723827,19767942,19831917,19891058,19930103,19941964,19964063,20130455,20229923,20352288,20365442,20525810,20634863,20634957,20907290,21261935,21544499,21728739,21734339,21883607,22041448,22263404,22423346,22896324,22956455,23609425,23835887,24156546,24337010,24455603,24565425,24630972,24796629,25088748,25187279,25514322,25683359,25910243,26203120,26816378,26897735,26955839,27547746,27696819,28002083,28179683,28331310,28488520,28520090,28733138,28899890,29155223,29204412,29342199,29478510,29597987,29702135,30010706,30220064,30731138,30852866,31029388,31443744,31566959,31628207,31632767,31636659,31872323,32049585,32277282,32356634,33269079,33411407,33727750,33872519,33977183,33997572,34186224,34224108,34679868,34969605,35129603,35133938,35283935,35350583,35374212,35463506,35521139,35642562,35840135,36054844,36269666,36819237,36866207,37300912,37390703,37664927,37811127,38055784,38459502,38553314,38817347,39101079,39271372,39923954,40256690,40473300,40517399,40829735,41047340,41317283,41781443,41963526,42101087,42340722,42485884,42624626,42812757,42950199,43008162,43013932,43171520,43464146,43762658,43832425,43928003,44704898,45230183,45531890,46365698,46510485,46855922,46888535,48182500,48308028,48567960,48665559,48881807,48995682,49256808,49357859,49392287,49611184,49824023,50170883,50191340,50369306,50546099,50631784,51506920,51805824,51810519,51924565,52144082,52317239,52390994,52436919,52511272,52598910,52666010,53415290,53524658,53906066,53999139,54094444,54638268,54638955,55323772,55369625,55413909,55606943,55812582,56066063,56101960,56105504,56166455,56266242,56897603,56960757,57034220,57037943,57077608,57251135,57414719,57705479,57819000,57920423,57945285,58035639,58054984,58281552,58565699,58875455,59024690,59060762,59075181,60015164,60144410,60194019,60209159,60229608,60376965,60407267,60694120,60962668,61187459,61673600,61808304,62018639,62309478,62617750,62624447,62647779,62754290,62846908,63114705,63118692,63127346,63199212,63258938,63259059,63843585,63864140,64092083,64098348,64099427,64212309,64402096,64551023,64594106,64731503,65046375,65311857,65324039,65566746,65726354,65876735,65999127,66149027,66443550,66815858,66896018,66938092,66982799,67294504,67322352,67399746,67737986,67758309,67810425,68099824,68280885,68400503,68441064,68473538,68553335,68567906,68701362,68776007,69266723,69382800,69534342,69621455,69904679,70496303,70527027,70560410,70650546,70829628,70873120,71002463,71220935,71420183,71672690,71766947,72137699,72173292,72331120,72452358,72792808,72832944,72909772,73007327,73816599,73923964,74008320,74023778,74165543,74177950,74819843,74940455,75141300,75305148,75350243,75581807,75630093,75706317,75737646,76376003,76390888,76443225,76612302,76636968,76707839,76996197,77600039,78055650,78371363,78534568,78535202,78642335,78942208,79033960,79052082,79169735,79437027,79438490,79732260,79903847,80150720,80610339,80901443,81282290,81372510,81539440,81891909,81937062,82026568,82166963,82264002,82285922,82723058,83006807,83259360,83545746,84672492,84700559,85047744,85189727,85240364,85332839,85465122,85558359,85939749,86007228,86022707,86216589,86713527,86797344,87170423,87574463,87704687,87717693,88152627,88351389,88536866,88809984,88913205,89013540,89071468,89158778,89586327,89650645,89928546,90035825,90169560,90253007,90450914,90681455,90729399,90883221,91570610,91699439,91731870,92106465,92279889,92317583,92346962,92520134,93006119,93666780,93696887,94001128,94370802,94498610,94824335,94840752,94947776,94985139,95003682,95326188,95548899,95565740,95678712,96083282,96180864,96759052,96800584,96887135,97154999,97401935,97459523,97538748,97647012,97655426,97712579,97802044,97819340,97847328,98059343,98075127,98246896,98339303,98705426,99020087,99192279,99457535,99471027,99637634,99698543,99911232,...,930784394860297030595914120365387197637739299503636465373070519857003087377431124653229560563744690236999830051511349938638259331218612083536497302276368630302196774989835360089775173332020179287685817732879127000452779848979831337930305266091148721838375665848183991621460658127119565378255948164315373612810675887391463691057192433305067580645547567320584653865636650477567684144635618508494996140346121929939449578435766323029579890434775105295448291705012833931657225415371942789403974401647766538936715231060042433179561171470519959062619429984666146722167292939043037986704395725923472203178633257032898294270640401954077937504188809452572125916282010056963387621421636210643029582086380031614595183817636690320968912926407207961958122892478903511671767308689360131521573166655872077982659192426005435524581641469929226032878445641039376433280498179098967317506045391449923087054226846680969440533165461609051960073711559332937411645561695248570311429555877188492463662646121493618283458275543072969951059859070273855402056188832995900524246061233630331002575539932536434159177267689806966835827837782584141533188274341304880942783833585439322915143035304496776201164659305987930053483905960882672019603351477801254534303462513835273452630451908345492187358902150441138052061555461664947001834898600543324237550581920218438186576186149871962501800011378982218045254084442751169419014791555355897634827257899167681186941482532281538038950393282632199177896584684580116107868339634341857003010638876731208997900253089239995627064799856413911810924389983344394007554208117697001677809246346117503345952683648091576494300200579869172037588560964894588220148941317213739142011965143208503084133280424648705592316078132911005471547214666313678091177498347541376030677956531513988851496756000063992791628701527248235517680334033215454650726720700106352072541157312363891382245575197373816368247931440092267432307620894557264475698981639704047777772392204259385163698954870179524916796395350169419342675273141311714587430541493852116198125367691341999994638688696749735288337774151246690999375152158751073193647610985620505258599498007554604264649686020111918594804722927758102279594011176958360903915802975522540103644649307227373350719953118735181038554565432137238892661910267196023717753007628750332841593241933760141475003436982865856800617497928504640705832562961167400434315276612638435343973475969121465984776494641460521304253916558354335775085260477108877713455485353478138489224122701833188992194734321343931064238990363826714547196672984920804811019714975899734705667565321816639966175690328820524619462369065973802351998357931473394068959587155403571477337508084477898351231175988359731226162420753342903076583767994281012298118713176853379829237117663046245356486481096821714967798061503161854641760024467772051551718452354704122655713871904238691522790697953418393232261741541183293911914933515776989584000192476501426199409742715847914479419942421028815718533651556841455975596957844492451712879858554334026204017842587902556142155229308558000552486639788}
19298  19188820165848959759048759365611668465639988963207051728573186382664468: {270046,385780,462936,520803,597277,886558,1117486,1173457,1288477,1425166,1518301,1809406,2269966,2929496,3005137,3189358,3295683,3418846,4027357,4335358,4366801,4914615,5242256,5325646,5897538,6009646,6378052,6621656,6647115,6996099,7090256,7170301,7449363,7976538,8279101,8506558,8657326,8669812,8769215,8955435,9384728,9552464,10041412,10147537,10388147,10498036,10523058,10557819,10746522,10761358,10808787,11223896,11345437,11562301,11728731,11838135,12032686,12142616,12319057,12527450,12626883,12627344,12778366,12812555,13225006,13231732,13660443,13962775,14035537,14205762,14339086,14487358,14840210,15005806,15032940,15293415,15375066,15839101,16035136,16049411,16280615,16312976,16727576,16755330,16890301,17019435,17218846,17275323,17808252,17872352,18039528,18142237,18154064,18246097,18303650,18352098,18453601,18661971,18759406,18818523,18905758,19125166,19286267,19486801,19536738,19570036,19636558,19795357,20020612,20106396,20294469,20308177,20423322,20468235,20511406,20512801,21200300,21226717,21370612,21601726,21734497,21832784,21964380,22269172,22341457,22543201,22765035,22927730,23049886,23122328,23428672,23747617,23847517,23912715,24282704,24362635,24561882,24563566,24927455,25440360,25506896,25830397,26012619,26027101,26223517,26298436,26356366,26357256,26442556,27136384,27318042,27493201,27513276,27551810,27569758,27829255,28068046,28469271,28620405,28636558,28695258,28971652,29235162,29651913,29836587,29900701,29912946,30528432,30548163,30661597,30788715,30851101,30970846,31323601,31360935,31463758,31512097,31604446,31815358,31982077,32208728,32517358,32543677,32638298,32730301,32753900,32841296,33062172,33298811,33395106,33451664,33635019,34019096,34125886,34344486,34580701,35448286,35610650,35949601,36003358,36234819,36505515,36582877,36730328,36903166,36929092,36946458,37033057,37633122,37775080,37928017,37938046,38271483,38372797,38638801,38763358,38786735,38904157,38939216,39122932,39256957,39304680,39615763,39928606,40133917,40221217,40224567,41321619,41522077,41837758,41924992,42177358,42182212,42312023,42496965,42551101,42721597,42732780,42780135,42806737,43036376,43099707,43349835,43409786,43806618,44075197,44217765,44302811,44358772,44677966,45016059,45068555,45081406,45244477,45330096,45581632,45632144,45947363,46096707,46221358,46239824,46279299,46544082,46626140,46890397,47023246,47165616,47378557,47423326,47523416,47569730,47783377,48415923,48534951,49017886,49089215,49092316,49216558,49543201,49780477,49942907,50331601,50414836,50591625,50798111,50996358,51195358,51279336,51309175,51336162,51345757,51886801,52019802,52048366,52134772,52700907,52882237,53029246,53061318,53107355,53195259,53463843,53564257,53767415,53940637,53964400,54082266,54404499,54980206,55303966,55428157,55562686,55951368,56015101,56079358,56161117,56351834,56454296,56886877,56959057,57045358,57083676,57266932,57344216,57494926,57605437,57676897,57689253,57815566,57829971,58175101,58838926,58882691,58907058,59439997,59587346,59731006,59794606,59885931,60132637,60228125,60385035,60556558,60709950,60818077,61428817,61496317,61571010,61832737,62013980,62262526,62300701,62433757,62577166,62739175,62945289,62963101,63160417,63289730,63511083,63693707,63728826,63936939,64383650,64410704,64456606,64512243,64520898,64757280,64887412,65196219,65327576,65390926,65453086,65639090,65643987,65675744,66042397,66321646,66507358,66786301,66842027,67057347,67215457,67276477,67618055,68297835,68540686,68717747,69074432,69080692,69092206,69154715,69275758,69548547,69915892,70127450,70131880,70178257,70283883,70374046,70635601,71031997,71088337,71292775,71347010,71604962,71773247,71830366,71890846,71998852,72200017,72273750,72418897,72462042,72568730,72615358,72851024,72851940,73097086,73337566,73493523,73549117,73885212,74416776,74595886,74820863,75018955,75021656,75210301,75287010,75311758,75553959,75867650,75947676,76203335,76437779,76456801,76499758,77092000,77209486,77260380,77268526,77380852,77516497,77708736,78216123,78445966,78449617,78558635,78586491,78723937,78766908,78898365,78905377,78999015,79149358,79830175,79839037,80122935,80258692,80286987,80306144,80358301,80502620,80656417,80826551,80859099,80867197,80897758,81141666,81200701,81593086,81957402,82250987,82410301,82411072,82985658,82990801,83034286,83079304,83206558,83530372,83666017,83672615,83718873,84118130,84152940,84158256,84175057,84265616,84282301,84345412,84399363,84459601,84700511,84877777,85124780,85218337,85376206,85464464,85551330,85584637,85616412,85966034,86070097,86384737,86621758,86728500,87082476,87422328,87998836,88094557,88139806,88307101,88385617,88537035,88587358,88591143,88591400,88978126,88990417,89230177,89312446,89423758,89763136,89866328,90022746,90216615,90271643,90344412,90413900,90420157,90422686,90575101,90706897,90906877,90942301,90975406,90991010,91041180,91137215,91254752,91312957,91444002,91471486,91515601,91601816,91619677,91691857,91706077,91746526,91844317,92087137,92099197,92260477,92404955,92417617,92447101,92459758,92510400,92584801,92601937,92712456,92861137,92889757,92897326,92900701,93013201,93036637,93039697,93059101,93084157,93100897,93102301,93103201,93464217,93551758,93926625,94036036,94131435,94200728,94270362,94439504,94529086,94678038,94691019,94798818,94888407,94936667,95488610,95796210,95824126,96011867,96147522,96231056,96603144,96628846,96789358,96806507,96891159,97110592,98168210,98350119,98386558,98405027,98422132,98589531,98677760,98792450,99119867,99548686,99665325,99864286,...,1396176592290445545893871180548080796456608949255454698059605779785504631066146686979844340845617035355499745077267024907957388996827918125304745953414552945453295162484753040134662759998030268931528726599318690500679169773469747006895457899136723082757563498772275987432190987190679348067383922246473060419216013831087195536585788649957601370968321350980876980798454975716351526216953427762742494210519182894909174367653649484544369835652162657943172437557519250897485838123057914184105961602471649808405072846590063649769341757205779938593929144976999220083250939408564556980056593588885208304767949885549347441405960602931116906256283214178858188874423015085445081432132454315964544373129570047421892775726455035481453369389610811942937184338718355267507650963034040197282359749983808116973988788639008153286872462204893839049317668461559064649920747268648450976259068087174884630581340270021454160799748192413577940110567338999406117468342542872855467144333815782738695493969182240427425187413314609454926589788605410783103084283249493850786369091850445496503863309898804651238765901534710450253741756673876212299782411511957321414175750378158984372714552956745164301746988958981895080225858941324008029405027216701881801455193770752910178945677862518238281038353225661707078092333192497420502752347900814986356325872880327657279864279224807943752700017068473327067881126664126754128522187333033846452240886848751521780412223798422307058425589923948298766844877026870174161802509451512785504515958315096813496850379633859993440597199784620867716386584975016591011331312176545502516713869519176255018929025472137364741450300869803758056382841447341882330223411975820608713017947714812754626199920636973058388474117199366508207320821999470517136766247521312064046016934797270983277245134000095989187443052290872353276520501049823181976090081050159528108811735968545837073368362796060724552371897160138401148461431341835896713548472459556071666658588306389077745548432305269287375194593025254129014012909711967571881145812240778174297188051537012999991958033045124602932506661226870036499062728238126609790471416478430757887899247011331906396974529030167877892207084391637153419391016765437541355873704463283810155466973960841060026079929678102771557831848148205858338992865400794035576629511443125499262389862900640212212505155474298785200926246892756961058748844441751100651472914918957653015960213953682198977164741962190781956380874837531503662627890715663316570183228030217207733836184052749783488292101482015896596358485545740071820795009477381207216529572463849602058501347982724959949263535493230786929193553598960703527997536897210091103439380733105357216006262126716847526846763982539596839243631130014354614875651991421518447178069765280069743855676494569368034729721645232572451697092254742781962640036701658077327577678532056183983570807856358037284186046930127589848392612311774940867872400273665484376000288714752139299114614073771871719129913631543223577800477335262183963395436766738677569319787831501039306026763881853834213232843962837000828729959682}
19299  19264627442055363127463709865281409148255373669164196992177598612358022: {405069,482225,578670,617248,694404,1329837,1676229,2137749,2563309,2714109,3257137,3404949,3661870,4394244,4586974,4758949,4784037,5128269,5512078,5793949,6143621,6203974,6503037,6552820,7530269,7863384,7972565,7988469,8053606,8211637,8277070,8358406,8516014,8846307,8862820,9014469,9258769,9328132,9567078,9820909,9932484,10624789,10635384,10837265,11048926,11337661,11730910,11940580,11964807,12551765,12759837,12985989,13004718,13122545,13904998,14029870,14030744,14077092,14273854,14328696,14411716,14636629,15062118,15178270,15638308,15668686,15716629,15747054,15784180,15784587,15884806,16119783,16142037,16539665,16739749,16835844,18049029,18213924,18233137,18486757,18791175,18941016,19103686,19167549,19725589,19837509,19847598,20043920,20232037,20288446,20391220,20500088,20909470,21212398,21247366,21308643,21508629,21731037,22057957,22260315,22274821,22318534,22340440,22508709,22549410,22576037,22692580,23033764,23062599,23187677,23507614,23744336,24052704,24458149,24462545,24469464,24882628,25025765,25091364,25132995,25686037,25828269,26048984,26500318,26500375,26640109,26712378,26713265,26808528,27059292,27231096,27290980,27455475,27528147,27605237,27836465,28124494,28139109,28182637,28328806,28358637,28687749,28736134,28902910,29270206,29285840,29305107,29355054,29454837,29766709,29971246,30030918,30159594,30353380,30577429,30634983,30767109,30856078,31368821,31800450,31883620,32055918,32139037,32402589,32741374,32749176,32870021,32873045,32933777,32946570,33053195,33381766,33403758,33920480,34071814,34346566,34391595,34574829,34588126,34683492,35125277,35143008,35354269,35467198,35524837,36214565,36320437,36424056,36462478,36684368,36842823,36845349,37019597,37656829,37959028,38038918,38160540,38260344,38980216,39447654,39534549,39535884,39663834,39782116,39860206,39883928,39928126,40260910,40459846,40704576,40730884,40942375,40977063,41051620,41269726,41269914,41327715,41354637,41582989,41814580,42102069,42523870,42954837,43042887,43088998,43457478,43468678,43767214,43852743,44082896,44526808,44846692,44869419,45792648,45912910,46161365,46456269,47195637,47218850,47406669,47671774,47723037,48313092,48674020,48776037,48903665,48911206,48957447,49130850,49261944,49378069,49397509,49506161,49593258,49804637,50092659,50176189,50177496,50374558,50551381,51028644,51188829,51366718,51516729,51820486,52406240,52561157,52727765,53172429,53415975,53632756,53795470,53800637,53911678,54005037,55095492,55354749,55393638,55419687,55448465,56004166,56071909,56359366,56449683,56662620,56907069,56977040,57040180,57161629,57466276,57799780,58145037,58282675,58310446,58408824,58684398,58957020,59195974,59404270,59462789,59892909,60021412,60215437,60306989,60440128,61365395,61462276,61705732,62058776,62756637,62777489,62887488,63018545,63133918,63256414,63265534,63266037,63273318,63744646,64006997,64099170,64554564,64713268,65114679,65168465,65643949,65709927,66538158,66769061,66822814,67016949,67455500,67622109,67745038,67954366,67995144,68372448,68448216,68451409,69332037,69359736,69816123,69939210,69992029,70259206,70267876,70534869,70567870,70701166,70748424,70927012,71042278,71134989,71285124,71354595,71583665,71680270,72109688,72145261,72539332,72694391,72709061,73526829,73638474,73732414,73824837,74601824,74781406,75329854,75358117,75622254,75745189,76111568,76447621,76494537,76793037,76919004,77004243,77106628,77201137,77517475,77634694,78029703,78072549,78202158,78542744,78633037,79329137,79543869,79591977,79847908,80151589,80158829,80513380,80868821,80946600,81034798,81109265,81123399,81205277,81659470,82094680,82425637,82470309,82621841,82634566,82890901,82955949,83344029,83562886,83927052,84119037,84202174,84298037,84527751,84681444,84971768,85249252,85568037,85625514,85900398,86016324,86027864,86242389,86343040,86350865,86446949,86723349,86928292,86946449,86967221,87394865,87525316,87664850,87856006,88258389,88360587,89381019,89409796,89596509,89691909,89998565,90262549,90363569,90460366,90767777,90834837,91063780,91064925,91709137,92227429,92356515,92731396,93020970,93045821,93393789,93711844,93777070,93811829,93865749,94934595,95593239,95974669,96365000,96570437,96575475,96616056,96684909,96726065,96781347,97135920,97331118,97470037,97763614,97877341,97991364,98086389,98179629,98458635,98513616,98715718,98784574,99222368,99482469,99648046,99709309,99761037,...,2094264888435668318840806770822121194684913423883182047089408669678256946599220030469766511268425553033249617615900537361936083495241877187957118930121829418179942743727129560201994139997045403397293089898978035751018754660204620510343186848705084624136345248158413981148286480786019022101075883369709590628824020746630793304878682974936402056452482026471315471197682463574527289325430141644113741315778774342363761551480474226816554753478243986914758656336278876346228757184586871276158942403707474712607609269885095474654012635808669907890893717465498830124876409112846835470084890383327812457151924828324021162108940904396675359384424821268287283311634522628167622148198681473946816559694355071132839163589682553222180054084416217914405776508077532901261476444551060295923539624975712175460983182958512229930308693307340758573976502692338596974881120902972676464388602130762326945872010405032181241199622288620366910165851008499109176202513814309283200716500723674108043240953773360641137781119971914182389884682908116174654626424874240776179553637775668244755794964848206976858148852302065675380612635010814318449673617267935982121263625567238476559071829435117746452620483438472842620338788411986012044107540825052822702182790656129365268418516793777357421557529838492560617138499788746130754128521851222479534488809320491485919796418837211915629050025602709990601821689996190131192783280999550769678361330273127282670618335697633460587638384885922448150267315540305261242703764177269178256773937472645220245275569450789990160895799676931301574579877462524886516996968264818253775070804278764382528393538208206047112175451304705637084574262171012823495335117963730913069526921572219131939299880955459587582711175799049762310981232999205775705149371281968096069025402195906474915867701000143983781164578436308529914780751574734772964135121575239292163217603952818755610052544194091086828557845740207601722692147012753845070322708689334107499987882459583616618322648457903931062791889537881193521019364567951357821718718361167261445782077305519499987937049567686904398759991840305054748594092357189914685707124717646136831848870516997859595461793545251816838310626587455730129086525148156312033810556694925715233200460941261590039119894517154157336747772222308787508489298101191053364944267164688248893584794350960318318757733211448177801389370339135441588123266662626650977209372378436479523940320930523298465747112943286172934571312256297255493941836073494974855274842045325811600754276079124675232438152223023844894537728318610107731192514216071810824794358695774403087752021974087439923895303239846180393790330398441055291996305345815136655159071099658035824009393190075271290270145973809395258865446695021531922313477987132277670767104647920104615783514741854052052094582467848858677545638382114172943960055052487115991366517798084275975356211784537055926279070395191384772588918467662411301808600410498226564000433072128208948671921110657807578694870447314835366700716002893275945093155150108016353979681747251558959040145822780751319849265944255501243094939523}
19300  19340732061192569676492897824753768885273130068051503263056798626402392: {212179,540092,771560,789619,868005,925872,1041606,1194554,1709779,1773116,2234972,2346914,2576954,2625331,2850332,3036602,3422659,3618812,4329571,4539932,5006731,5119339,5492805,5858992,6010274,6378716,6591366,6688291,6837692,6880461,7245211,7356379,7578499,8054714,8132539,8191025,8268117,8670716,8684779,8733602,9305961,9454891,9829230,10439851,10484512,10651292,10657939,10984531,11078525,11201899,11660165,11795076,12019292,12080409,12276901,12415605,12537609,12715411,12756104,12774021,13243312,13294230,13992198,14108179,14180512,14340602,14350617,14746891,14898726,14925725,15488779,15805651,15953076,16332331,16558202,16573389,17013116,17066659,17314652,17339624,17380291,17538430,17596365,17797459,17910870,17937577,18014645,18524731,18769456,18835339,19104928,19145299,19507077,19547885,19730225,20082824,20173819,20295074,20776294,20857497,20889499,20996072,21044805,21046116,21115638,21398539,21410781,21493044,21522716,21617574,22108171,22447792,22593177,22690874,22713619,22767405,22792861,23124602,23457462,23503029,23620581,23676270,23716939,23827209,24065372,24285232,24414979,24638114,25054900,25208419,25253766,25254688,25489025,25556732,25625110,25644377,26450012,26463464,26585851,26879179,27320886,27561091,27852259,27925550,28071074,28365725,28411524,28625539,28655529,28678172,28792205,28974716,29680420,29771397,30011612,30065880,30253459,30432669,30586830,30750132,31103285,31364205,31672579,31678202,31818597,31860571,31871049,32070272,32098822,32561230,32625952,33168451,33261331,33455152,33477801,33510660,33780602,33817099,33824115,34038870,34107689,34113725,34186171,34278259,34437692,34550646,34898437,35261421,35616504,35650939,35744704,36079056,36284474,36285979,36308128,36492194,36607300,36704196,36737419,36907202,37323942,37518812,37637046,37724251,37811516,37941725,38250332,38572534,38613811,38702371,38960957,38973602,39073476,39140072,39273116,39590714,39750477,39854525,39934651,40041224,40068567,40212792,40545499,40588938,40616354,40719379,40806211,40846644,40936470,41022812,41025602,41670571,42186741,42400600,42453434,42493209,42741224,43104201,43203452,43354365,43468994,43546819,43665568,43905309,43928760,44032581,44276441,44538344,44682914,44722651,44956869,45046377,45086402,45239391,45530070,45553891,45855460,46099772,46244656,46284117,46459939,46818629,46857344,47276059,47448785,47495234,47695034,47700675,47825430,48083877,48084979,48565408,48725270,48886699,49112061,49123764,49127132,49419855,49727645,49854910,49997011,50072649,50105637,50880720,50913605,51013792,51107721,51314525,51519849,51558691,51636019,51660794,51882189,52025238,52054202,52268225,52447034,52596872,52712732,52714512,52787299,52885112,53167459,53200797,54222331,54272768,54301429,54636084,54693717,54986402,55026552,55103620,55139516,55189219,55631371,55658510,55704811,55778179,56058365,56136092,56725411,56938542,57058377,57230419,57240810,57273116,57374059,57390516,57943304,57945739,58470324,58935091,59171481,59285011,59303826,59495751,59673174,59790309,59801402,59825892,59892189,60255211,60323971,60391365,60689769,60842525,61056864,61096326,61211299,61323194,61346731,61577430,61702202,61904589,61904871,61941692,62019571,62618971,62647202,62721870,62751379,62927516,63024194,63095977,63208892,63605011,63630716,63785805,63964154,64317811,64417456,64633497,65021899,65034716,65087354,65186217,65203017,65276596,65460602,65507800,65650821,65654419,65682592,65780059,66124344,66155251,66597622,66774811,66790212,66903328,67040945,67081891,67270038,67448011,67544741,68038192,68052451,68251772,68351971,68411659,68688972,68724901,68869365,69122299,69161402,70340971,70455379,70828275,70853539,70896572,71221300,71248171,71300225,71507661,71832845,71899202,71971699,72006716,72249725,72469638,72845491,73011030,73165754,73366809,73460656,73696275,73806332,73858184,73892916,74066114,74226091,74350297,74389887,74486011,74949331,75000451,75026765,75051499,75204211,75266244,75274381,75406819,75550160,75561837,75658459,75856034,75876092,75908299,76057339,76542966,76647019,76745594,76827845,77050077,77130499,77132165,77277602,77526716,77573470,77730729,77808314,77878432,78245864,78307699,78399931,78513914,78609360,78629251,78674899,78902059,79082491,79231526,79704931,79857212,80267834,80442434,80449134,80612131,80693205,80867517,80891585,81032971,81199291,81610051,81650731,81893299,82013611,82291819,82488379,82643238,82789949,83044154,83090457,83143219,83675516,83849984,84006249,84140491,84176419,84319375,84354716,84354979,84364424,84539049,84624046,84776179,84993930,85017091,85102202,85153171,85355131,85443194,85465560,85554499,85560270,85613474,85945459,85977571,86072752,86199414,86200339,86635291,86699670,86819572,86877499,87056131,87085651,87261259,87465669,87613236,87744739,87834845,88026597,88150394,88207411,88435530,88443931,88495699,88572811,88598371,88605622,88658765,88717544,88793961,88850011,89094451,89106405,89331691,89355932,89762611,89806459,89893291,89978971,90032118,90063499,90084451,90137110,90162812,90229099,90335557,90488954,90527179,90660192,90674165,90679531,90790771,91108939,91142851,91163264,91226371,91264288,91291891,91466131,91675291,91802299,91894726,92038819,92160139,92193414,92206651,92218099,92296219,92442716,92461531,92479648,92509411,92558598,92650531,92658739,92698699,92714179,92736859,92751619,92859331,92883379,92928019,92938459,92953579,92995051,93044659,93047971,93066331,93086779,93088164,93089011,93099091,93108811,93112699,93121771,93252280,93780794,94046492,94331232,94570337,94665277,94700877,94757114,94846652,94884621,94898301,94909977,95046832,95139460,95434757,95566754,95616969,96148755,96383285,96816601,96831846,97069902,98035772,98178430,98184632,98433116,99086402,99560954,99807237,99809885,99885814,...,2792353184580891091787742361096161592913217898510909396119211559571009262132293373959688681691234070710999490154534049815914777993655836250609491906829105890906590324969506080269325519996060537863057453198637381001358339546939494013790915798273446165515126997544551974864381974381358696134767844492946120838432027662174391073171577299915202741936642701961753961596909951432703052433906855525484988421038365789818348735307298969088739671304325315886344875115038501794971676246115828368211923204943299616810145693180127299538683514411559877187858289953998440166501878817129113960113187177770416609535899771098694882811921205862233812512566428357716377748846030170890162864264908631929088746259140094843785551452910070962906738779221623885874368677436710535015301926068080394564719499967616233947977577278016306573744924409787678098635336923118129299841494537296901952518136174349769261162680540042908321599496384827155880221134677998812234936685085745710934288667631565477390987938364480854850374826629218909853179577210821566206168566498987701572738183700890993007726619797609302477531803069420900507483513347752424599564823023914642828351500756317968745429105913490328603493977917963790160451717882648016058810054433403763602910387541505820357891355725036476562076706451323414156184666384994841005504695801629972712651745760655314559728558449615887505400034136946654135762253328253508257044374666067692904481773697503043560824447596844614116851179847896597533689754053740348323605018903025571009031916630193626993700759267719986881194399569241735432773169950033182022662624353091005033427739038352510037858050944274729482900601739607516112765682894683764660446823951641217426035895429625509252399841273946116776948234398733016414641643998941034273532495042624128092033869594541966554490268000191978374886104581744706553041002099646363952180162100319056217623471937091674146736725592121449104743794320276802296922862683671793427096944919112143333317176612778155491096864610538574750389186050508258028025819423935143762291624481556348594376103074025999983916066090249205865013322453740072998125456476253219580942832956861515775798494022663812793949058060335755784414168783274306838782033530875082711747408926567620310933947921682120052159859356205543115663696296411716677985730801588071153259022886250998524779725801280424425010310948597570401852493785513922117497688883502201302945829837915306031920427907364397954329483924381563912761749675063007325255781431326633140366456060434415467672368105499566976584202964031793192716971091480143641590018954762414433059144927699204117002695965449919898527070986461573858387107197921407055995073794420182206878761466210714432012524253433695053693527965079193678487262260028709229751303982843036894356139530560139487711352989138736069459443290465144903394184509485563925280073403316154655155357064112367967141615712716074568372093860255179696785224623549881735744800547330968752000577429504278598229228147543743438259827263086447155600954670524367926790873533477355138639575663002078612053527763707668426465687925674001657459919364}
19301  19417135181198713803972522298927215934708325293126608444525614626389598: {19301,675115,810138,964450,1157340,1234496,1388808,1562409,1791831,2216395,2659674,2793715,3352458,3520371,3562915,3604051,3865431,4275498,4523515,4554903,4874551,5126618,5428218,5568163,5674915,6514274,6567319,6809898,7260643,7323740,7973395,8416183,8547115,8681299,8788488,9015411,9173948,9517898,9568074,9887049,10256538,10838395,11024156,11161591,11215171,11587898,12082071,12287242,12407948,12480919,12839083,13006074,13100403,13105640,13314115,14743845,15010039,15024115,15060538,15172171,15370363,15726768,15945130,15976938,16107212,16423274,16554140,16694359,16716812,17032028,17327131,17535991,17572471,17692614,17725640,18028938,18140491,18371563,18517538,18656264,19134156,19641818,19864968,19941345,20788711,20988297,21249578,21266395,21270768,21510903,21643315,21674530,22097852,22348089,22578391,22675322,22865659,22998019,23155531,23190091,23461820,23840851,23881160,23929614,24837303,25103530,25519674,25915639,25971978,26009436,26080183,26245090,26307645,26680771,26770711,26866305,26903395,27809996,28059740,28061488,28154184,28547708,28657392,28823432,29273258,29539603,29604151,30081715,30124236,30356540,30442611,31164441,31276616,31318625,31337372,31365031,31372099,31433258,31494108,31568360,31569174,31673457,31769612,31789879,31945915,32239566,32284074,32307139,32426361,32624371,32873443,32937211,33062515,33079330,33479498,33585931,33671688,33984259,34036311,34247563,34686903,35036071,35136919,35186193,35514405,35847715,36098058,36218395,36427848,36466274,36808339,36957171,36973514,37023451,37072243,37100525,37398571,37514515,37582350,37672771,37880649,37882032,38207372,38335098,38437665,38825431,38971051,39451178,39675018,39695196,40087840,40464074,40576892,40782440,40981329,41000176,41359963,41511691,41736811,41818940,41888325,42106611,42424796,42428263,42494732,42617286,42792811,43017258,43047115,43462074,44115914,44282359,44520630,44549642,44637068,44680880,45017418,45098820,45152074,45385160,45759125,45880245,46022263,46067528,46125198,46274473,46375354,46898515,47015228,47264395,47488672,47517303,47812915,48105408,48148233,48841845,48916298,48925090,48938928,49091395,49511323,49765256,50051530,50085079,50182728,50265990,50670903,50700391,51058305,51278515,51372074,51656538,51825969,52097968,52920379,52984291,53000636,53000750,53280218,53424756,53426530,53617056,54004315,54118584,54426711,54462192,54581960,54738291,54910950,55056294,55210474,55360803,55672930,55985913,56248988,56278218,56365274,56455569,56657612,56717274,57319325,57375498,57472268,57624715,57805820,57858801,57932611,58460403,58540412,58571680,58610214,58710108,58756819,58904851,58909674,59386071,59533418,59942492,60061836,60313291,60319188,60574243,60706760,60883407,60924531,61154858,61187383,61269966,61404705,61408915,61534218,61538403,61712156,62117731,62127259,62737642,63563671,63582571,63600900,63680151,63767240,63922363,64013671,64111836,64278074,64625911,64805178,64927159,65203491,65482748,65498352,65740042,65746090,65810011,65867554,65890915,65893140,66106390,66158851,66763532,66776023,66807516,67024371,67106971,67629603,67840960,68111731,68143628,68295105,68414851,68465131,68693132,68783190,68879525,68924395,69029719,69032419,69045931,69149658,69176252,69366984,70170115,70250554,70286016,70708538,70934396,71049674,71242851,71542551,71591395,71612131,71738145,72429130,72640874,72716659,72848112,72924956,73087905,73368736,73685646,73690698,73818871,74039194,74782365,75313658,75461011,75842563,75918056,76077836,76211251,76321080,76520688,77427115,77491191,77616451,77627851,77723479,77960432,78037857,78081303,78659395,78670551,78839959,78895308,79011115,79069098,79071768,79327668,79538395,79564232,79720412,79767856,79856252,80521820,80900011,80919692,81293395,81409152,81461768,81595745,81884750,81954126,82103240,82479603,82539452,82539828,82655430,82709274,83165978,83198851,83487765,83629160,83730859,83849191,84204138,85047740,85314715,85407813,85861215,85909674,85911553,86085774,86177996,86456011,86914956,86937356,87324583,87336763,87382339,87534428,87592891,87705486,88165792,88225963,88319899,88620715,88955739,89026625,89053616,89318743,89410519,89509761,89693384,89702103,89738838,90008395,90758839,91158391,91235851,91413811,91585296,91644489,91825820,91984791,92257915,92322730,92366145,92553303,92912538,93970803,94082805,94391274,94437700,94536291,94813338,94845115,95343548,95446074,95572243,95946231,96626184,96908395,96991891,97175443,97348040,97552074,97631031,97807330,97822412,97914894,98190903,98261700,98523888,98756138,98795018,99012322,99186516,99290731,99465271,99609274,99821515,99896433,...,4188529776871336637681613541644242389369826847766364094178817339356513893198440060939533022536851106066499235231801074723872166990483754375914237860243658836359885487454259120403988279994090806794586179797956071502037509320409241020686373697410169248272690496316827962296572961572038044202151766739419181257648041493261586609757365949872804112904964052942630942395364927149054578650860283288227482631557548684727523102960948453633109506956487973829517312672557752692457514369173742552317884807414949425215218539770190949308025271617339815781787434930997660249752818225693670940169780766655624914303849656648042324217881808793350718768849642536574566623269045256335244296397362947893633119388710142265678327179365106444360108168832435828811553016155065802522952889102120591847079249951424350921966365917024459860617386614681517147953005384677193949762241805945352928777204261524653891744020810064362482399244577240733820331702016998218352405027628618566401433001447348216086481907546721282275562239943828364779769365816232349309252849748481552359107275551336489511589929696413953716297704604131350761225270021628636899347234535871964242527251134476953118143658870235492905240966876945685240677576823972024088215081650105645404365581312258730536837033587554714843115059676985121234276999577492261508257043702444959068977618640982971839592837674423831258100051205419981203643379992380262385566561999101539356722660546254565341236671395266921175276769771844896300534631080610522485407528354538356513547874945290440490551138901579980321791599353862603149159754925049773033993936529636507550141608557528765056787076416412094224350902609411274169148524342025646990670235927461826139053843144438263878599761910919175165422351598099524621962465998411551410298742563936192138050804391812949831735402000287967562329156872617059829561503149469545928270243150478584326435207905637511220105088388182173657115691480415203445384294025507690140645417378668214999975764919167233236645296915807862125583779075762387042038729135902715643437436722334522891564154611038999975874099135373808797519983680610109497188184714379829371414249435292273663697741033995719190923587090503633676621253174911460258173050296312624067621113389851430466400921882523180078239789034308314673495544444617575016978596202382106729888534329376497787169588701920636637515466422896355602778740678270883176246533325253301954418744756872959047880641861046596931494225886572345869142624512594510987883672146989949710549684090651623201508552158249350464876304446047689789075456637220215462385028432143621649588717391548806175504043948174879847790606479692360787580660796882110583992610691630273310318142199316071648018786380150542580540291947618790517730893390043063844626955974264555341534209295840209231567029483708104104189164935697717355091276764228345887920110104974231982733035596168551950712423569074111852558140790382769545177836935324822603617200820996453128000866144256417897343842221315615157389740894629670733401432005786551890186310300216032707959363494503117918080291645561502639698531888511002486189879046}
19302  19493837964488971714403170926746686377360919351605911867818479712348642: {250757,424358,558917,828137,1020197,1080184,1215207,1365401,1446675,1543120,1579238,1595177,1709957,1736010,1851744,2083212,2389108,2663657,3119657,3419558,3460901,3546232,3989511,4254617,4367717,4443077,4469944,4693828,4781801,5028687,5153908,5157401,5250662,5569637,5700664,6073204,6413247,6845318,7237624,7245977,7357157,7689927,8142327,8170277,8354537,8659142,8722457,9079864,9154675,9382697,9565637,9771411,10013462,10214847,10238678,10695401,10985610,11239301,11467435,11717984,11781401,11961701,12020548,12757432,13182437,13182732,13361177,13376582,13675384,13760922,13780195,14109701,14276847,14352111,14490422,14712758,14960837,15156998,15172901,15384807,15509935,15842537,15912857,16109428,16265078,16324231,16382050,16536234,17341432,17369558,17381847,17467204,18146201,18430863,18526757,18611922,18871877,18909782,19147397,19181801,19491077,19509111,19658460,19868201,20073497,20134015,20692675,20879702,20896015,20925797,20969024,21231401,21290035,21302584,21315878,21400901,21941957,21969062,22157050,22403798,22590807,22716137,23218757,23320330,23590152,23752901,23917695,23965407,24038584,24160818,24553802,24616517,24634911,24748901,24831210,25046297,25075218,25220503,25430822,25512208,25548042,25704857,25901801,26486624,26538921,26588460,26882201,27043407,27367039,27564197,27622315,27776307,27984396,28216358,28361024,28628777,28660901,28681204,28701234,29327275,29462727,29493782,29797452,29812037,29851450,30256901,30288617,30306991,30447077,30977558,31236377,31611302,31676201,31874367,31906152,31989401,32511795,32613401,32664662,33079301,33116404,33146778,33265157,33851801,34012983,34026232,34133318,34629304,34649897,34679248,34760582,34762495,34772201,35074675,35076860,35192730,35564057,35594918,35684635,35821740,35875154,35894421,36029290,36109097,36290201,36320357,36771737,37049462,37311017,37538912,37655295,37669097,37670678,37945675,38209856,38279511,38290598,38647877,38706917,38824901,38957967,39014154,39095770,39171715,39236837,39367635,39460450,39676457,39712015,40143401,40165648,40288901,40309087,40347638,40550297,40590148,40897817,41416937,41552588,41618117,41714994,41778998,41992144,42089610,42092232,42231276,42561257,42618137,42797078,42821562,42986088,43045432,43235148,43544599,43552037,43909887,44216342,44421401,44588777,44811497,44895584,45186354,45227717,45381748,45393701,45427238,45504197,45534810,45585722,46249204,46901801,46914924,47006058,47149887,47241162,47352540,47353761,47433878,47654418,47759215,48090857,48130744,48278597,48359349,48412457,48426111,48492677,48570464,48829958,48919301,49276228,49555397,49618995,49950617,50109800,50219247,50344037,50416838,50474777,50507532,50509376,50721115,50978050,51047657,51113464,51250220,51288754,51410201,51899717,52273675,52326703,52819301,52900024,52926928,53030995,53118415,53171702,53174117,53199401,53350937,53758358,53929157,54147087,54229157,54641772,54699411,55122182,55294697,55331107,55442201,55460271,55662917,55704518,55796335,55809701,55851100,56142148,56175401,56373525,56731450,56805017,56823048,56901401,57237737,57251078,57311058,57356344,57405317,57502647,57584410,57739301,57949432,57953177,58119077,58449701,58769035,59176767,59360840,59501801,59512527,59542794,59640857,59941157,60023224,60131760,60194201,60285977,60400517,60506918,60560537,60696111,60865338,61083557,61173660,61241897,61354757,61500264,62206570,62649317,62728410,62913797,63345158,63356404,63439301,63548201,63635177,63637194,63721142,63742098,63743717,63873701,63925929,64140544,64197401,64197644,64390757,64525887,65122460,65178857,65193111,65251904,65284517,65809817,66101801,66173871,66250795,66336902,66412901,66428299,66522662,66780945,66804377,66824463,66845417,66910304,66955602,67021320,67111397,67233701,67526127,67561204,67634198,67648230,67659497,67728111,68077740,68121797,68215378,68227450,68261657,68361317,68372342,68556518,68875384,69101292,69131801,69187797,69210137,69444377,69563031,69599897,69618703,69735557,69796874,70293401,70311235,70522842,70822015,70882277,71233008,71279047,71301878,71489408,71500697,71593637,71704901,71840335,71981801,72055337,72158112,72202999,72256901,72257275,72568948,72571958,72616256,72909797,72984388,73175515,73214600,73374447,73387635,73408392,73474838,73605401,73814404,73974917,74236697,74647884,74908901,74928115,75037624,75062297,75077295,75231977,75274092,75398985,75434537,75448502,75623032,75669401,75883450,75935897,76084901,76500664,76511717,76576901,76658201,76917017,77058111,77140195,77145068,77157797,77227622,77285477,77396777,77404742,77444357,77484807,77618201,77916197,77921914,77947204,78146952,78149417,78280144,78481711,78546232,78610457,78701801,78777701,78928901,79094297,79181428,79500954,79501125,79709050,79825603,79869302,79892201,79920327,80082448,80124137,80137134,80139795,80196197,80339717,80425584,80751401,80835737,80891801,81090998,81177876,81225497,81232708,81253097,81438758,81612422,81693288,81703877,81853435,81872940,81905897,81919301,82045624,82051204,82066217,82106117,82198937,82317701,82366425,82435817,82584441,82815711,82888997,83042117,83092901,83341142,83344901,83454415,83509395,83606057,83716901,83827097,84201701,84368357,84373482,84380201,84417327,84439301,84545177,84547911,84627077,84789701,84801200,84801257,84906868,84962201,84986418,85075911,85144217,85178117,85179535,85402277,85482448,85634201,85866415,85894937,86063247,86119301,86182757,86208402,86319257,86406904,86470315,86708730,86931737,86937988,87093638,87100037,87275717,87331136,87391397,87712901,87759401,87768677,87810618,87842597,87857520,87915321,87934277,88043237,88065162,88364511,88432901,88467557,88552882,88613417,88667995,88765337,88865177,88947497,89020901,89076688,89213477,89260901,89300127,89365828,89424617,89445302,89539397,89913738,90001817,90092754,90141977,90172804,90190277,90244997,90251801,90478782,90607337,90701957,90951401,91060140,91062437,91091177,91107782,91125401,91131077,91156195,91159337,91394117,91456997,91482857,91623977,91682537,91710920,91732287,91846757,91864901,91904949,91958057,91979717,92165657,92199544,92216357,92261957,92301327,92422697,92482457,92489312,92498597,92529943,92568234,92626277,92676677,92679401,92716697,92719301,92734757,92754917,92772137,92779397,92791337,92828201,92848037,92873477,92891801,92901701,92919878,92937497,92941097,92946437,92973701,93013637,93063401,93087977,93093401,93106457,93110117,93116201,93122201,93124901,93127877,93140357,93141017,93637258,93714688,93857323,94106463,94552118,94897570,94990468,95097295,95390068,95401350,95650860,96167754,96169958,96417111,97130816,97207767,97450540,97773398,97842667,98224122,98247528,98254264,98610063,98619135,98801331,98839710,99159585,99455290,99650515,99709820,99820315,99994022,...,6282794665307004956522420312466363584054740271649546141268226009034770839797660091409299533805276659099748852847701612085808250485725631563871356790365488254539828231181388680605982419991136210191879269696934107253056263980613861531029560546115253872409035744475241943444859442358057066303227650109128771886472062239892379914636048924809206169357446079413946413593047390723581867976290424932341223947336323027091284654441422680449664260434731960744275969008836629038686271553760613828476827211122424137822827809655286423962037907426009723672681152396496490374629227338540506410254671149983437371455774484972063486326822713190026078153274463804861849934903567884502866444596044421840449679083065213398517490769047659666540162253248653743217329524232598703784429333653180887770618874927136526382949548875536689790926079922022275721929508077015790924643362708918029393165806392286980837616031215096543723598866865861100730497553025497327528607541442927849602149502171022324129722861320081923413343359915742547169654048724348523963879274622722328538660913327004734267384894544620930574446556906197026141837905032442955349020851803807946363790876701715429677215488305353239357861450315418527861016365235958036132322622475158468106548371968388095805255550381332072264672589515477681851415499366238392262385565553667438603466427961474457759389256511635746887150076808129971805465069988570393578349842998652309035083990819381848011855007092900381762915154657767344450801946620915783728111292531807534770321812417935660735826708352369970482687399030793904723739632387574659550990904794454761325212412836293147585180614624618141336526353914116911253722786513038470486005353891192739208580764716657395817899642866378762748133527397149286932943698997617327115448113845904288207076206587719424747603103000431951343493735308925589744342254724204318892405364725717876489652811858456266830157632582273260485673537220622805168076441038261535210968126068002322499963647378750849854967945373711793188375668613643580563058093703854073465156155083501784337346231916558499963811148703060713196279975520915164245782277071569744057121374152938410495546611550993578786385380635755450514931879762367190387259575444468936101431670084777145699601382823784770117359683551462472010243316666926362525467894303573160094832801494064746680754383052880954956273199634344533404168111017406324764369799987879952931628117135309438571820962791569895397241338829858518803713936768891766481825508220484924565824526135977434802262828237374025697314456669071534683613184955830323193577542648215432474383076087323209263256065922262319771685909719538541181370991195323165875988916037445409965477213298974107472028179570225813870810437921428185776596340085064595766940433961396833012301313943760313847350544225562156156283747403546576032636915146342518831880165157461347974099553394252827926068635353611167778837211185574154317766755402987233905425801231494679692001299216384626846015763331973422736084611341944506100102148008679827835279465450324049061939045241754676877120437468342253959547797832766503729284818569}
19303  19570841577972747314603685995273513562958167973036141571902745590429513: {38602,636537,945161,1350230,1620276,1928900,2314680,2368857,2468992,2604015,2777616,2986385,3102953,3124818,3583662,3911201,4028057,4259333,4432790,4988081,5129337,5319348,5587430,5760833,5867285,6223241,6332921,6442385,6704916,7040742,7125830,7208102,7591505,7730862,7761377,7875993,7944881,8550996,9047030,9104777,9109806,9749102,10253236,10259717,10267977,10856436,11136326,11162753,11349830,11965961,12107621,12904001,12988713,13028548,13134638,13254293,13619796,13724537,14521286,14647480,14750177,15020193,15025685,15173753,15358017,15432857,15946790,16478415,16696097,16832366,17094230,17178641,17362598,17576976,17739137,18030822,18347896,18639761,19025393,19035796,19136148,19365617,19729697,19774098,20064873,20136785,20513076,20641301,20641383,20724353,21033761,21676790,21735633,21834005,21890441,22048312,22069137,22323182,22430342,22735497,23000417,23175796,23843333,23981057,24164142,24397617,24442601,24573075,24574484,24804351,24815896,24961838,25678166,25795001,25918337,26012148,26054337,26200806,26211280,26628230,26645657,26683553,26964257,27179477,27917883,28364673,29487690,29607233,29772953,30020078,30048230,30121076,30300641,30344342,30740726,31319553,31453536,31576817,31638113,31793201,31890260,31953876,31973817,32214424,32248553,32846548,32953593,33108280,33235575,33388718,33421841,33433624,33589433,33605697,33883097,33987797,34064056,34654262,34980495,35071982,35140577,35144942,35385228,35451280,35851505,36057876,36241227,36280982,36328001,36743126,36812177,36830703,37035076,37076117,37246815,37312528,37319201,37537217,37569857,37612827,37664753,37676693,38146233,38268312,38322063,38829473,39283636,39729936,39882690,41395505,41577422,41928881,41976594,42114401,42324537,42499156,42532790,42541536,42797273,43021806,43051851,43286630,43349060,43772753,43846075,44195704,44240673,44287001,44696178,44724281,44777175,45156782,45350644,45731318,45996038,46225841,46287521,46311062,46380182,46466337,46776257,46923640,47416953,47681702,47762320,47859228,48996993,49674606,49720167,50186801,50207060,50504201,50705753,50737685,51039348,51199977,51831278,51940735,51943956,52018872,52140873,52160366,52333697,52490180,52520321,52615290,52789095,52925897,53361542,53392377,53541422,53732610,53806790,53812731,54043935,55574193,55619992,56119480,56122976,56308368,56506017,56727185,57095416,57314784,57435897,57646864,57811505,58521231,58546516,58643655,58910993,59079206,59175017,59190675,59191457,59208302,59217737,60163430,60248472,60265961,60521457,60713080,60885222,61193777,61595285,62133737,62328882,62553232,62572491,62637250,62668497,62674744,62730062,62744198,62866516,62988216,63134415,63136720,63138348,63346914,63539224,63579758,63891830,64062775,64195617,64232343,64479132,64568148,64571321,64614278,64751777,64852722,65157857,65248742,65344697,65657921,65746886,65816873,65874422,66125030,66158660,66170153,66324513,66938081,66958996,67171862,67343376,67779531,67968518,68072622,68118833,68140857,68302215,68378583,68465813,68495126,68727953,69039617,69373806,69439877,69813875,70072142,70177685,70273838,70372386,70509087,70861743,71028810,71150817,71372501,71442641,71481627,71695430,71789921,72196116,72436790,72855696,72932548,73030193,73244937,73616678,73914342,73947028,74046902,74144486,74201050,74797142,75029030,75164700,75345542,75606041,75625257,75761298,75764064,76414744,76463657,76467075,76670196,76732097,76875330,76933131,77260181,77624657,77650862,77731601,77942102,78187733,78848297,78902356,79195505,79350036,79390392,79757553,79928873,80175680,80247055,80637537,80674601,80928148,81153784,81403075,81564880,81580577,81962658,82000352,82683273,82719926,83023382,83473622,83556777,83637880,83776650,84213222,84338777,84451505,84727193,84846353,84849592,84856526,84989464,85097175,85234572,85585622,85876617,85966587,85972481,86034516,86094230,86376615,86924148,87333737,88231828,88564718,89041260,89099284,89274136,89314191,89361760,89505401,89513381,89825417,89934161,90034836,90197640,90304148,90711185,90760377,90770320,91230485,91298007,91518250,91728533,91760490,92044526,92135056,92247281,92250396,92268005,92346497,92541857,92548946,92750708,93174497,93309855,93726233,93797030,94030456,94092615,94528790,94977344,95017737,95034606,95455791,95581713,95613147,95625830,96210816,96296466,96431335,96494153,97434005,97683690,97832596,97850180,97877856,97897937,98182790,98238161,98976785,99022646,99051401,99505353,99530512,99783993,...,8377059553742673275363227083288484778739653695532728188357634678713027786396880121879066045073702212132998470463602149447744333980967508751828475720487317672719770974908518240807976559988181613589172359595912143004075018640818482041372747394820338496545380992633655924593145923144076088404303533478838362515296082986523173219514731899745608225809928105885261884790729854298109157301720566576454965263115097369455046205921896907266219013912975947659034625345115505384915028738347485104635769614829898850430437079540381898616050543234679631563574869861995320499505636451387341880339561533311249828607699313296084648435763617586701437537699285073149133246538090512670488592794725895787266238777420284531356654358730212888720216337664871657623106032310131605045905778204241183694158499902848701843932731834048919721234773229363034295906010769354387899524483611890705857554408523049307783488041620128724964798489154481467640663404033996436704810055257237132802866002894696432172963815093442564551124479887656729559538731632464698618505699496963104718214551102672979023179859392827907432595409208262701522450540043257273798694469071743928485054502268953906236287317740470985810481933753891370481355153647944048176430163300211290808731162624517461073674067175109429686230119353970242468553999154984523016514087404889918137955237281965943679185675348847662516200102410839962407286759984760524771133123998203078713445321092509130682473342790533842350553539543689792601069262161221044970815056709076713027095749890580880981102277803159960643583198707725206298319509850099546067987873059273015100283217115057530113574152832824188448701805218822548338297048684051293981340471854923652278107686288876527757199523821838350330844703196199049243924931996823102820597485127872384276101608783625899663470804000575935124658313745234119659123006298939091856540486300957168652870415811275022440210176776364347314231382960830406890768588051015380281290834757336429999951529838334466473290593831615724251167558151524774084077458271805431286874873444669045783128309222077999951748198270747617595039967361220218994376369428759658742828498870584547327395482067991438381847174181007267353242506349822920516346100592625248135242226779702860932801843765046360156479578068616629346991088889235150033957192404764213459777068658752995574339177403841273275030932845792711205557481356541766352493066650506603908837489513745918095761283722093193862988451773144691738285249025189021975767344293979899421099368181303246403017104316498700929752608892095379578150913274440430924770056864287243299177434783097612351008087896349759695581212959384721575161321593764221167985221383260546620636284398632143296037572760301085161080583895237581035461786780086127689253911948529110683068418591680418463134058967416208208378329871395434710182553528456691775840220209948463965466071192337103901424847138148223705116281580765539090355673870649645207234401641992906256001732288512835794687684442631230314779481789259341466802864011573103780372620600432065415918726989006235836160583291123005279397063777022004972379758092}
19304  19648147193070923607016358560626540240448100229847482899696466939350005: {57903,501514,597463,712879,848716,1117834,1288879,1403863,1656274,1863079,2025345,2040394,2160368,2411125,2430414,2730802,2893350,3086240,3119983,3158476,3190354,3419914,3472020,3703488,4166424,4255063,4687227,4778216,5327314,5375493,6239314,6280063,6649185,6839116,6921802,7092464,7979022,8381145,8509234,8735434,8886154,8939888,9387656,9563602,10057374,10260079,10307816,10314802,10501324,10561113,10688745,10812153,11139274,11401328,11457583,11596293,11999023,12146408,12816545,12826494,13570545,13664709,13690636,13933303,14475248,14491954,14572879,14623653,14714314,14997823,15209863,15379854,15738703,16054409,16160479,16284654,16285685,16340554,16686079,16704489,16709074,17024745,17209879,17318284,17444914,18148183,18159728,18252079,18309350,18765394,19131274,19183903,19292273,19542822,19701957,19801879,19904623,20026924,20417263,20429694,20477356,21233743,21390802,21713909,21781929,21971220,22478602,22934870,23254783,23435968,23562802,23794745,23855479,23920185,23923402,24041096,24751663,25248549,25444663,25514864,25641345,25937503,26043897,26364874,26365464,26722354,26753164,27046233,27350768,27405223,27521844,27560390,27793879,28187621,28219402,28278079,28553694,28664143,28704222,28969745,28980844,29254421,29425516,29661147,29806049,29921674,30292063,30313996,30345802,30718105,30766903,30769614,31019870,31685074,31825714,32218856,32461423,32515185,32530156,32648263,32648462,32764100,33072468,33484773,33645513,34408879,34682864,34739116,34763694,34776223,34934408,35817353,36246213,36292402,36324583,36685879,36861726,37053514,37223844,37442757,37651345,37743754,37819564,38294794,38363602,38386303,38517249,38671241,38982154,39006223,39018222,39270823,39301209,39316920,39710383,39736402,39862825,39942345,40146994,40235479,40268030,40322743,41058185,41385350,41623063,41759404,41792030,41851594,41938048,42462802,42580070,42605168,42631756,42801802,42822079,43883914,43938124,44091079,44231535,44314100,44426743,44807596,45030117,45072345,45181614,45260863,45432274,45516513,46111089,46293845,46437514,46640660,46907503,46989079,47180304,47395879,47505802,47835390,47930814,48077168,48321636,48525343,48667493,49104545,49107604,49233034,49269822,49402879,49497802,49662420,49958489,50083077,50092594,50150436,50441006,50507143,50861644,51024416,51053983,51096084,51409714,51751879,51803602,51981393,52443943,52607973,52717413,52973248,52978183,53077842,53123945,53176920,53206063,53597797,53764402,53960983,54086814,54186325,54421473,54734078,54840401,55114689,55128394,55244630,55522879,55552614,55596821,55968792,56182543,56432716,56688305,56722048,56980879,57053023,57257554,57321802,57362408,57402468,57699079,58654550,58833223,58925454,58987564,59532703,59594904,59624074,59702900,59810479,59824035,60431263,60513802,60568423,60577234,60613982,60894154,61224361,61520479,61840649,61955116,62366133,62458423,62472754,62758825,62964891,63222604,63352402,63748734,63773863,63799185,63812304,63903823,63978802,64227463,64532709,64929945,65023590,65124079,65226802,65329324,65612725,66158602,66232808,66293556,66442543,66530314,66690079,66862901,67044267,67303879,67547383,67703602,67735173,67850143,68025966,68052464,68151103,68266636,68596977,68994057,69258608,69299794,69358496,69466593,69521164,69524990,69544402,69570273,69628903,70149350,70153720,70385460,70608103,71009561,71118079,71128114,71189836,71369270,71522553,71622223,71643480,71733463,71750308,71788842,72058580,72218194,72504079,72580402,72640714,73183145,73314079,73543474,73633543,74098924,74243393,74365781,74511909,74622034,75077824,75310590,75338194,75341356,75344263,75891350,76419712,76559022,76581196,76588063,76928263,77295754,77413834,77649802,77746917,77833879,77915934,78028308,78114869,78191540,78240549,78253783,78343430,78473674,78530479,78583145,78735270,78920900,78922935,79255663,79352914,79424030,79875079,80042313,80092879,80286802,80312133,80331296,80577802,80598915,80618174,80693143,80695276,80710185,80777743,81100594,81180296,81320623,81729943,81795634,81931903,82171879,82276649,82566079,82698325,82833874,82914703,83105176,83105863,83236234,83429988,83520079,83557996,83698745,83889079,83984288,84179220,84184464,84393583,84462552,84464503,84814783,84987223,85122514,85236274,85330817,85427143,85493743,85594156,85643124,85919623,85972176,86090864,86270479,86470296,87089198,87104074,87183079,87615079,87783343,87819774,87866503,88165879,88430479,88432684,88618809,88788823,88812453,88838863,88842802,88962703,89177554,89299879,89416879,89554903,89622994,89791168,89974879,90245145,90267703,90372708,90408823,90455434,90487879,90604303,90763496,90787402,90854476,91008394,91026583,91069620,91113343,91147543,91165685,91171444,91327833,91362823,91378879,91699423,91756879,92014063,92138983,92151079,92210479,92268079,92323879,92433785,92440303,92498408,92697343,92737303,92751113,92885479,93061879,93096079,93099103,93107743,93113143,93161023,93493323,93803602,93829848,93955875,94012116,94095093,94116297,94299774,94339349,94482324,94705080,94707522,94867756,95020371,95308836,95369637,95518430,95837745,96181714,96261488,96557194,96718698,96824914,96852222,96921417,96985354,97140928,97279083,97659916,97838602,97873113,98435729,98552456,98620329,98627945,98811633,99110794,99150821,99187545,99237990,99901234,...,12565589330614009913044840624932727168109480543299092282536452018069541679595320182818599067610553318199497705695403224171616500971451263127742713580730976509079656462362777361211964839982272420383758539393868214506112527961227723062059121092230507744818071488950483886889718884716114132606455300218257543772944124479784759829272097849618412338714892158827892827186094781447163735952580849864682447894672646054182569308882845360899328520869463921488551938017673258077372543107521227656953654422244848275645655619310572847924075814852019447345362304792992980749258454677081012820509342299966874742911548969944126972653645426380052156306548927609723699869807135769005732889192088843680899358166130426797034981538095319333080324506497307486434659048465197407568858667306361775541237749854273052765899097751073379581852159844044551443859016154031581849286725417836058786331612784573961675232062430193087447197733731722201460995106050994655057215082885855699204299004342044648259445722640163846826686719831485094339308097448697047927758549245444657077321826654009468534769789089241861148893113812394052283675810064885910698041703607615892727581753403430859354430976610706478715722900630837055722032730471916072264645244950316936213096743936776191610511100762664144529345179030955363702830998732476784524771131107334877206932855922948915518778513023271493774300153616259943610930139977140787156699685997304618070167981638763696023710014185800763525830309315534688901603893241831567456222585063615069540643624835871321471653416704739940965374798061587809447479264775149319101981809588909522650424825672586295170361229249236282673052707828233822507445573026076940972010707782385478417161529433314791635799285732757525496267054794298573865887397995234654230896227691808576414152413175438849495206206000863902686987470617851179488684509448408637784810729451435752979305623716912533660315265164546520971347074441245610336152882076523070421936252136004644999927294757501699709935890747423586376751337227287161126116187407708146930312310167003568674692463833116999927622297406121426392559951041830328491564554143139488114242748305876820991093223101987157572770761271510901029863759524734380774519150888937872202863340169554291399202765647569540234719367102924944020486633333852725050935788607146320189665602988129493361508766105761909912546399268689066808336222034812649528739599975759905863256234270618877143641925583139790794482677659717037607427873537783532963651016440969849131649052271954869604525656474748051394628913338143069367226369911660646387155085296430864948766152174646418526512131844524639543371819439077082362741982390646331751977832074890819930954426597948214944056359140451627741620875842856371553192680170129191533880867922793666024602627887520627694701088451124312312567494807093152065273830292685037663760330314922695948199106788505655852137270707222335557674422371148308635533510805974467810851602462989359384002598432769253692031526663946845472169222683889012200204296017359655670558930900648098123878090483509353754240874936684507919095595665533007458569637138}
19305  19725755985733179828490817233046511998158827117640824947918150161135077: {77204,752271,1060895,1273074,1676751,1890322,2484411,2700460,3060591,3240552,3645621,3857800,3948095,4096203,4180939,4340025,4629360,4737714,4760431,4785531,4937984,5129871,5208030,5555232,5972770,6205906,6249636,6955387,7167324,7822402,7990971,8056114,8214199,8518666,8548895,8865580,9019339,9358971,9494687,9976162,10188011,10258674,10382703,10628107,10638696,10760191,11174860,11521666,11734570,11968533,12446482,12665842,12763851,12884770,13103151,13126655,13329231,13409832,13532047,14081484,14251660,14345403,14416204,15086061,15183010,15250183,15461724,15472203,15522754,15751986,15889762,16708911,17101992,17113295,17539643,18094060,18209554,18219612,18238831,19239741,19498204,19731751,20506472,20519434,20535954,21035959,21647855,21712872,21737931,22064839,22071471,22272652,22325506,22699660,23069781,23841983,23931922,24215242,24426981,24465787,24510831,25033655,25063611,25596695,25634923,25808002,25977426,26057096,26167371,26269276,26327239,26508586,26648431,27182311,27239592,27449074,27464025,27613883,28148091,28191499,28696911,28829707,28869599,29042572,29294960,29314233,29500354,30040386,30051370,30347506,30567607,30644541,30716034,30865714,31371563,31893580,32086203,32956830,33392194,33441455,33664732,33717903,34188460,34357282,34402305,34725196,34890239,35153952,35344203,35478274,35535931,35885103,36061644,36226055,36331783,36387263,36695792,36781895,37279522,37541131,37573783,37892495,38050786,38071592,38272296,38731234,39459394,39547311,39548196,39892939,40083531,40129746,40273570,40662695,40955125,41026152,41282602,41282766,41340585,41448706,41745503,42067522,42329103,42437099,42662639,42830541,43056333,43350199,43353580,43423895,43471266,43668010,43780882,44096624,44138274,44557463,44646364,44860684,44882511,45470994,45518703,46000834,46154421,46351592,46529805,47274455,47527611,47686666,47738571,47962114,48328284,48479087,48795234,48885202,48972693,49146150,49148968,49608702,49631792,49923676,50192107,51356332,51590002,51836674,52024296,52108674,52145541,52199255,52339183,52401612,52422560,53256460,53289695,53291314,53367106,53817599,53928514,54284519,54358954,54438603,54922655,55056683,55281031,55292589,55392625,55580271,55835766,56009495,56615631,56729346,57442191,57545403,57953707,58300825,58473231,58527333,58769183,58975380,59214466,59545906,59604603,59686783,60040156,60096460,60220491,60242152,60402045,60601282,60688684,61240223,61384505,61481452,62078025,62639106,62688045,62777391,62797151,62907072,63153634,63276226,63577055,63586402,63694203,63780520,63870105,63907752,63947634,64202703,64428848,64497106,65164651,65272943,65693096,65825871,65907186,66216560,66471150,66777436,66843682,66867248,67178866,67211394,67766194,67772421,67975594,68128112,68148411,69308524,69656271,69934111,69960990,70143964,70281154,70289884,70540895,70770456,70902560,71032759,71258703,71379943,71703010,71753085,71896221,72115752,72167947,72178103,72320699,72482454,72561964,72656002,72717029,73486252,73624354,73661406,73734455,73849551,73904733,74070152,74152234,74246703,74493630,74625056,74628625,74638402,75074434,75138891,75139714,75225654,75329506,75353386,75661509,76039247,76292466,76536624,76644126,77114571,77225551,77443895,77658946,77705403,78567272,79028255,79353983,79418059,79459872,79616763,79672043,79765380,80646603,80936107,81130221,81230879,81661655,82101117,82692591,82791010,82866945,83146439,83154844,83328921,83857762,83953188,84041759,84228802,84649074,84998312,85065580,85083072,85333295,85594546,85886331,85982703,86043612,86103702,86233399,86573260,86698120,86901455,87545506,87692150,87981825,88388181,88391408,88481346,88574002,88987295,89392356,89436111,89448562,89554350,89687885,89943559,90073225,90313564,90391871,90701288,90770703,90865851,90920973,90938279,91341231,91462636,91738231,91992076,92451682,92575042,92622124,92623655,92760364,92932674,93184351,93552514,93709131,93841211,93847280,94176695,94833906,95028603,95363404,95524640,95623101,95718456,95726495,95968203,96600683,97535385,97739425,97840203,97993986,98248759,98651125,99237903,99349212,99440334,99795471,...,18848383995921014869567260937399090752164220814948638423804678027104312519392980274227898601415829977299246558543104836257424751457176894691614070371096464763619484693544166041817947259973408630575637809090802321759168791941841584593088681638345761617227107233425725830334578327074171198909682950327386315659416186719677139743908146774427618508072338238241839240779142172170745603928871274797023671842008969081273853963324268041348992781304195882232827907026509887116058814661281841485430481633367272413468483428965859271886113722278029171018043457189489471123887682015621519230764013449950312114367323454916190458980468139570078234459823391414585549804710703653508599333788133265521349037249195640195552472307142978999620486759745961229651988572697796111353288000959542663311856624781409579148848646626610069372778239766066827165788524231047372773930088126754088179497419176860942512848093645289631170796600597583302191492659076491982585822624328783548806448506513066972389168583960245770240030079747227641508962146173045571891637823868166985615982739981014202802154683633862791723339670718591078425513715097328866047062555411423839091372630105146289031646464916059718073584350946255583583049095707874108396967867425475404319645115905164287415766651143996216794017768546433045554246498098715176787156696661002315810399283884423373278167769534907240661450230424389915416395209965711180735049528995956927105251972458145544035565021278701145288745463973302033352405839862747351184333877595422604310965437253806982207480125057109911448062197092381714171218897162723978652972714383364283975637238508879442755541843873854424009579061742350733761168359539115411458016061673578217625742294149972187453698928599136288244400582191447860798831096992851981346344341537712864621228619763158274242809309001295854030481205926776769233026764172612956677216094177153629468958435575368800490472897746819781457020611661868415504229323114784605632904378204006967499890942136252549564903836121135379565127005840930741689174281111562220395468465250505353012038695749675499891433446109182139588839926562745492737346831214709232171364122458815231486639834652980736359156141907266351544795639287101571161778726333406808304295010254331437098804148471354310352079050654387416030729950000779087576403682910719480284498404482194240042263149158642864868819598903033600212504333052218974293109399963639858794884351405928315715462888374709686191724016489575556411141810306675299445476524661454773697473578407932304406788484712122077091943370007214604050839554867490969580732627944646297423149228261969627789768197766786959315057729158615623544112973585969497627966748112336229896431639896922322416084538710677441612431313764284557329789020255193787300821301884190499036903941831280941542051632676686468468851242210639728097910745439027556495640495472384043922298660182758483778205906060833503336511633556722462953300266208961701716277403694484039076003897649153880538047289995920268208253834025833518300306444026039483505838396350972147185817135725264030631361312405026761878643393498299511187854455707}
19306  19803669136455374583304958242393425258599617527502348281653434512768900: {96505,115806,327913,905173,1003028,1194926,1425758,1697432,1909611,2235668,2577758,2807726,2835483,2854393,3196213,3312548,3375575,3726158,4050690,4080788,4320736,4330933,4444009,4822250,4860828,5120953,5461604,5570809,5786700,6172480,6239966,6316952,6380708,6578773,6801973,6839828,6944040,7106571,7358713,7406976,7812045,8332848,8510126,8797813,8959155,9308859,9374454,9457909,9556432,9567673,10443193,10552309,10654628,10750986,10988053,11081975,11096809,11733603,12084171,12478628,12560126,12777999,13298370,13364053,13678232,13843604,13968575,14184928,14964243,15388011,15916309,15958044,16762290,17018468,17282499,17470868,17490409,17601855,17772308,17814575,17879776,17907433,17943163,18020255,18634453,18669723,18775312,18998763,19127204,19151593,19327155,20114748,20520158,20615632,20629604,21002648,21100309,21122226,21377490,21507253,21624306,22014313,22216633,22278548,22617575,22721173,22774515,22799959,22802656,22915166,23192586,23284131,23627979,23724853,23834643,23998046,24292816,24372755,24522613,25633090,25652363,25652988,26692693,27083509,27141090,27314331,27329418,27381272,27667573,27840815,27866606,28374575,28924153,28950496,28983908,29145758,29247306,29428628,29882473,29995646,30073273,30419726,30454009,30759708,30779151,30803931,31306453,31477406,31871509,32108818,32320958,32569308,32571370,32681108,32836595,32900713,33272809,33312643,33372158,33408978,33418148,33488259,34049490,34198009,34290133,34419758,34636568,34889828,35897883,36117493,36296366,36303215,36319456,36322863,36504158,36618700,37530788,37737493,37826809,38262548,38367806,38584546,38712003,38716009,38966139,39085644,39403914,39603758,39632219,39762879,39809246,39866975,40053848,40557643,40820713,40834526,40859388,40907509,40954712,41173611,41685433,42080915,42329599,42467486,42628309,42735575,42781604,43005347,43406495,43427818,43563858,43900009,43942440,44236393,44250531,44655253,44822293,44957204,45060579,45077055,45521259,45570409,45869740,45901033,46074051,46298571,46476853,46509566,46871936,47125604,47293333,47589490,47710958,47840370,47846804,48082192,48343993,49435245,49503326,50015509,50088291,50094313,50487253,50497098,50889326,51029728,51112213,51282690,51535923,51577909,51655273,51875006,52087794,52711883,52729748,52730928,52807093,53217411,53414773,53444708,53506328,54092466,54191975,54701536,54810446,55043688,55120780,55587758,55726009,55799413,55807955,55919283,56019193,56075855,56375242,56438804,56556158,56819509,57076179,57107388,57252373,57328286,57408444,57467833,57481459,57939490,57961688,58096851,58508842,58676533,58851032,59189091,59308009,59322294,59612098,59656309,59843348,60194619,60347509,60410355,60416233,60584126,60621973,60627992,60691604,61303093,61436210,61438453,61533806,61539228,61923903,61924149,62039740,62044009,62110933,62173059,62404595,62710009,62974393,63101283,63342851,63370148,63651428,63760633,64020409,64195415,64407913,64437712,64811383,64920553,64922846,65030370,65047993,65060312,65206899,65296526,65296924,65502015,65528200,65671323,65680873,66144936,66207411,66244309,66554809,66570575,66863509,66969546,67109173,67291026,67475509,68020153,68140393,68206491,68380009,68427227,68439733,68746363,68817758,69001251,69365728,69478232,69502453,69527388,69552446,69793513,69868816,70769653,70939753,71529999,71557909,71634706,71943171,72356063,72441493,72492426,72584804,72649166,72876373,72930409,73192851,73327803,73371758,73719225,73723452,73996009,74107028,74205673,74310073,74373523,74413053,74447688,74885514,75032809,75050195,75083893,75120575,75302690,75487508,75639128,75741433,75860855,75991093,76589588,76727204,76772606,76851815,77034498,77212393,77342482,77385003,77498809,77755011,77964308,78012446,78036444,78163011,78203509,78388693,78541646,78602418,78633840,78664309,78709993,79363627,79386613,79420766,79472804,79725650,79884690,79936971,80050659,80177173,80293988,80470958,80478313,80536060,80645486,80860309,80892771,81236473,81277909,81538431,81647593,81688309,81728953,81931093,82091509,82116370,82290409,82526713,82770700,83246126,83471795,83518808,83584060,83632309,83703188,83753649,83876096,84180409,84216373,84677353,84920533,84925604,85057909,85094019,85160140,85194133,85210336,85228009,85263512,85429753,85603604,85644158,85922773,86019433,86051509,86368309,86554933,86635655,86677909,86708473,87099253,87128809,87679955,87767828,87862355,87876248,88182158,88463070,88540693,88617913,88628200,88643509,88669033,88821699,88853486,88920313,88994293,89164393,89260009,89318859,89470933,89585593,89615192,89809513,89831509,90047509,90060234,90131893,90144690,90235753,90363228,90521726,90702455,90746809,90864548,90901923,90912373,91033026,91124053,91175353,91531753,91667509,91725973,91857815,92014009,92065273,92222178,92258809,92270293,92359573,92464693,92484853,92533993,92587690,92704309,92712553,92827573,92875028,92914153,92950009,92977909,92998933,93009013,93104233,93125653,93145813,93148009,93167413,93176053,93179833,93281320,93815006,93958659,93978158,94360608,94730451,94791758,94914339,95011604,95379603,95670780,95861628,95921451,96154336,96643272,96745659,97050686,97334986,98209090,98215208,98466068,98539644,98805758,98860779,98995604,99324840,99706725,99916978,...,25131178661228019826089681249865454336218961086598184565072904036139083359190640365637198135221106636398995411390806448343233001942902526255485427161461953018159312924725554722423929679964544840767517078787736429012225055922455446124118242184461015489636142977900967773779437769432228265212910600436515087545888248959569519658544195699236824677429784317655785654372189562894327471905161699729364895789345292108365138617765690721798657041738927842977103876035346516154745086215042455313907308844489696551291311238621145695848151629704038894690724609585985961498516909354162025641018684599933749485823097939888253945307290852760104312613097855219447399739614271538011465778384177687361798716332260853594069963076190638666160649012994614972869318096930394815137717334612723551082475499708546105531798195502146759163704319688089102887718032308063163698573450835672117572663225569147923350464124860386174894395467463444402921990212101989310114430165771711398408598008684089296518891445280327693653373439662970188678616194897394095855517098490889314154643653308018937069539578178483722297786227624788104567351620129771821396083407215231785455163506806861718708861953221412957431445801261674111444065460943832144529290489900633872426193487873552383221022201525328289058690358061910727405661997464953569049542262214669754413865711845897831037557026046542987548600307232519887221860279954281574313399371994609236140335963277527392047420028371601527051660618631069377803207786483663134912445170127230139081287249671742642943306833409479881930749596123175618894958529550298638203963619177819045300849651345172590340722458498472565346105415656467645014891146052153881944021415564770956834323058866629583271598571465515050992534109588597147731774795990469308461792455383617152828304826350877698990412412001727805373974941235702358977369018896817275569621458902871505958611247433825067320630530329093041942694148882491220672305764153046140843872504272009289999854589515003399419871781494847172753502674454574322252232374815416293860624620334007137349384927666233999855244594812242852785119902083660656983129108286278976228485496611753641982186446203974315145541522543021802059727519049468761549038301777875744405726680339108582798405531295139080469438734205849888040973266667705450101871577214292640379331205976258986723017532211523819825092798537378133616672444069625299057479199951519811726512468541237754287283851166279581588965355319434075214855747075567065927302032881939698263298104543909739209051312949496102789257826676286138734452739823321292774310170592861729897532304349292837053024263689049279086743638878154164725483964781292663503955664149781639861908853195896429888112718280903255483241751685712743106385360340258383067761735845587332049205255775041255389402176902248624625134989614186304130547660585370075327520660629845391896398213577011311704274541414444671115348844742296617271067021611948935621703204925978718768005196865538507384063053327893690944338445367778024400408592034719311341117861801296196247756180967018707508481749873369015838191191331066014917139274276}
19307  19881887830296995220115715545409670464965600998877188470863530321787919: {154408,173709,1253785,1485253,1504542,1792389,2121790,2138637,2546148,2794585,3353502,3780644,3866637,4140685,4211589,4876069,4968822,5100985,5400920,5527333,5569897,5589237,6076035,6121182,6146173,6481104,6827005,7233375,7291242,7533397,7715600,7838413,7896190,7975885,8192406,8361878,8549785,8680050,9258720,9359949,9475428,9520862,9571062,9875968,9951733,10149493,10259742,10416060,10611709,11110464,11945540,11968453,12411812,12484813,12499272,12765189,13318285,13416553,13910774,14061681,14334648,15598285,15644804,15981942,16112228,16126479,16188409,16428398,17037332,17097790,17304505,17332537,17541469,17731160,18038678,18377317,18717942,18803653,18840189,18989374,19288693,19947555,19952324,20376022,20517348,20728669,20765406,20795197,21256214,21273085,21277392,21520382,21838585,22215385,22349720,22872793,23043332,23197333,23442589,23469140,23844469,23909005,23937066,23958613,24892964,25143435,25331684,25527702,25769540,25787005,25800373,26206302,26211853,26253310,26658462,26819664,27064094,27101077,27848185,28162968,28176889,28503320,28690806,28832408,29291053,30172122,30306997,30366020,30500366,30780237,30923448,30944406,31045508,31374829,31503972,31683339,31779524,32066235,32255269,32436459,32634589,32883709,33053053,33417822,34118617,34203984,34226590,34372749,34788879,34893877,35047117,35079286,35542393,35835373,35997069,36188120,36229885,36419108,36439224,36477662,36785785,37035013,37326973,38449635,38479482,38994973,38996408,39463502,39547213,40711635,40851385,40994127,41012944,41038868,41071908,41372917,41749849,41772685,41799909,41937613,42071918,42441517,43003129,43295710,43425744,43475862,43612285,43718637,43781869,43870959,44129678,44142942,44545304,44562109,44651012,44993469,45399320,45439789,45629589,45773375,46139562,46461733,46786069,46818037,46913485,47216109,47615293,47681773,47683966,47828185,47844637,47863844,48163227,48430484,48481437,48484153,48853962,48857055,48931574,49021662,49129813,50058237,50067310,50113467,50127222,50716477,51074235,51193390,51269846,51494653,51616004,51629637,51954852,52114192,52334742,52538552,52654478,53017172,53049493,53296862,53477005,53956153,54182509,54364622,54444549,54479184,54756237,54898148,54928050,55227766,55957597,56196505,56296182,56382998,56927773,57337175,57393822,57551709,57659414,57739198,57876819,58085144,58589920,58628466,58907005,59000708,59105871,59187469,59405637,59713869,59808505,60080772,60102740,60670933,60695012,60793453,61135214,61251789,61289082,61432068,61731428,62743126,63163033,63602617,63701229,63787160,64172406,65066989,65141727,65279749,65345787,65912185,65913660,66179773,66184237,66784388,66805885,66882910,67127989,67329464,67435806,68376920,68436373,68456989,68714564,68804610,68900975,69450392,69454489,69764349,69780478,70281013,70307904,70548505,70688406,70956548,71071862,71219053,71384235,71566437,71684629,71760555,71770206,72123288,72185629,72374809,72452110,72663566,72737533,72774526,73078957,73391584,73563790,74211289,74254989,74559044,74605573,74804185,75082262,75147566,75745647,75784990,75822493,75864505,75866317,76047193,76101572,76143184,76333989,76544592,76891717,76924035,77149309,77404213,77462468,77549675,77812509,78131691,78413293,78864973,78918788,79094622,79096392,79212685,79564285,79680469,79785878,80095417,80167062,80259492,80547140,80925349,81138699,81283333,81325390,81621155,81910250,82052304,82215669,82531933,82565204,82565532,82681170,82897412,83224909,83381637,83491006,84135044,84562863,84658206,84834237,84874198,85325278,85469917,85612633,85661082,85938307,85992429,86112666,86483197,86700398,86707160,86847790,86909235,86942532,87057913,87336020,87364117,87561764,87763263,88141357,88193248,88276548,88983441,89007877,89114926,89292728,89418147,89532217,89721368,89765022,90731005,90787453,90805993,90876189,90941988,91037406,92001668,92154315,92300709,92308842,92561269,92633785,92703184,92739037,92766733,92928373,93059610,94157869,94359385,94548910,94703653,95055222,95373332,95477142,95736985,95909005,95924228,96656568,96958174,97022269,97384269,97455385,97545555,97590468,97770404,97944789,97945386,98292300,98297936,98486137,98757253,99217404,99263584,99321829,99341005,99656773,99847352,...,37696767991842029739134521874798181504328441629897276847609356054208625038785960548455797202831659954598493117086209672514849502914353789383228140742192929527238969387088332083635894519946817261151275618181604643518337583883683169186177363276691523234454214466851451660669156654148342397819365900654772631318832373439354279487816293548855237016144676476483678481558284344341491207857742549594047343684017938162547707926648536082697985562608391764465655814053019774232117629322563682970860963266734544826936966857931718543772227444556058342036086914378978942247775364031243038461528026899900624228734646909832380917960936279140156468919646782829171099609421407307017198667576266531042698074498391280391104944614285957999240973519491922459303977145395592222706576001919085326623713249562819158297697293253220138745556479532133654331577048462094745547860176253508176358994838353721885025696187290579262341593201195166604382985318152983965171645248657567097612897013026133944778337167920491540480060159494455283017924292346091143783275647736333971231965479962028405604309367267725583446679341437182156851027430194657732094125110822847678182745260210292578063292929832119436147168701892511167166098191415748216793935734850950808639290231810328574831533302287992433588035537092866091108492996197430353574313393322004631620798567768846746556335539069814481322900460848779830832790419931422361470099057991913854210503944916291088071130042557402290577490927946604066704811679725494702368667755190845208621930874507613964414960250114219822896124394184763428342437794325447957305945428766728567951274477017758885511083687747708848019158123484701467522336719078230822916032123347156435251484588299944374907397857198272576488801164382895721597662193985703962692688683075425729242457239526316548485618618002591708060962411853553538466053528345225913354432188354307258937916871150737600980945795493639562914041223323736831008458646229569211265808756408013934999781884272505099129807672242270759130254011681861483378348562223124440790936930501010706024077391499350999782866892218364279177679853125490985474693662429418464342728244917630462973279669305961472718312283814532703089591278574203142323557452666813616608590020508662874197608296942708620704158101308774832061459900001558175152807365821438960568996808964388480084526298317285729737639197806067200425008666104437948586218799927279717589768702811856631430925776749419372383448032979151112822283620613350598890953049322909547394947156815864608813576969424244154183886740014429208101679109734981939161465255889292594846298456523939255579536395533573918630115458317231247088225947171938995255933496224672459792863279793844644832169077421354883224862627528569114659578040510387574601642603768380998073807883662561883084103265353372936937702484421279456195821490878055112991280990944768087844597320365516967556411812121667006673023267113444925906600532417923403432554807388968078152007795298307761076094579991840536416507668051667036600612888052078967011676792701944294371634271450528061262722624810053523757286786996599022375708911414}
19308  19960413256898673703470406873377146786751641777014228610357641859093604: {135107,193010,231612,366491,655826,789947,1135691,1365827,1710491,1810346,1863467,1939907,2006056,2256813,2389852,2435987,2851516,2892707,3182685,3196547,3394864,3819222,4331387,4369091,4471336,4557491,4725805,4896107,5030253,5155516,5159027,5271587,5615452,5670966,5708786,5833307,6392426,6616691,6625096,6751150,7359491,7452316,7453233,7507667,7729691,8101380,8161576,8283491,8467691,8641472,8661866,8888018,9181773,9644500,9721656,9788027,10241906,10807787,10923208,10936863,11141618,11351507,11532347,11573400,11844285,12073667,12288609,12344960,12479932,12542817,12633904,12761416,12864347,13020075,13157546,13603946,13679656,13888080,14213142,14256491,14281293,14356593,14576027,14717426,14813952,14931925,15283787,15389613,15514765,15624090,15812507,16234187,16665696,16689707,16759667,17020252,17074091,17213627,17283347,17595626,17735747,17918310,18256067,18617718,18636491,18671027,18748908,18915818,18981491,19112864,19135346,19188107,19556005,19874747,19977467,20140285,20182691,20319347,20866161,20886386,21104618,21296665,21309256,21407987,21501972,21509627,21976106,22163950,22193618,22252787,22555691,22723691,23467206,23727491,23760827,23860787,23972913,24168342,24642597,24940405,24957256,25054691,25120252,25228357,25516187,25555998,25646685,26238227,26401787,26596740,26728106,27058017,27356464,27670691,27687208,27864827,27937150,27994091,28076913,28348907,28369856,28484061,28766987,28804165,29336425,29917691,29928486,30076691,30316429,30564033,30776022,31116205,31148109,31341491,31664605,31687067,31832618,31884321,31916088,32000387,32211925,32280573,32717987,32904491,33183707,33524580,33554987,33832691,34036936,34121857,34416827,34564998,34875947,34941736,34980818,35203710,35544616,35629150,35667491,35759552,35814866,35886326,35905599,36040510,36121691,36754547,37268906,37339446,37550624,37957525,37997526,38254408,38291553,38303186,38631947,38654310,38806885,38838587,38927027,38977141,39074267,39309453,39379965,39724405,39987693,40157627,40229496,40244987,40303187,40596141,41040316,41114627,41231264,41259208,41690387,42005296,42200618,42244452,42320027,42718691,42754980,43014506,43036209,43144091,43248612,43567691,43680347,44028626,44101667,44241707,44269691,44294833,44433266,44521187,44557096,44688491,45235150,45258183,45410147,45442346,45523885,45549030,45599918,45605312,45750549,45830332,45971233,46071491,46385172,46416609,46568262,46838077,47000507,47054867,47255958,47407427,47449706,47542667,47669286,47947187,47996092,48108491,48510491,48585632,48745510,49045226,49467947,49969091,50126733,50493491,50519627,50824501,51118547,51144491,51266180,51298585,51299987,51304726,51305976,51339885,51764747,51816227,52201307,52618929,52839107,52915307,53385386,53723627,53949491,54167018,54174707,54282180,54628662,54658836,54697691,54716493,54762544,55217147,55315691,55335146,55463267,55536947,55681630,55733212,55813765,55830947,55904267,56050691,56196827,56318387,56749150,56995427,57259691,57719223,57761507,57848306,57900992,57967816,58070387,58212491,58291516,58494612,58542947,58857256,58895267,58913281,59195253,59478467,59764946,59829805,59872187,59991292,60146546,60171707,60286547,60446987,60538105,60629867,60769093,60839452,60908018,61107491,61243307,61446491,61469027,61519416,61558302,61607862,61783691,62252747,62612906,62954812,63004691,63107877,63202187,63464507,63638747,63743018,63790787,64217636,64520005,64641916,64943565,64950491,65138616,65141507,65142740,65213793,65362216,65673190,65801426,65815427,66024347,66190907,66194517,66214413,66271465,66439787,66545618,66625286,66744316,66817956,66836296,66976518,67138691,67261067,67322147,67565747,68049491,68098980,68169707,68396018,68449091,68580266,68622685,68839516,69160307,69209343,69238691,69273136,69531491,69779656,70226867,70322627,70379987,70494491,70779491,71231747,71418827,71525949,71795766,72085691,72234986,72342227,72469907,72592732,72606430,72638912,72645726,73008316,73237400,73280943,73397361,73532493,73601387,73689827,73750885,74059091,74216267,74320691,74859733,74992427,75061576,75100965,75128425,75162707,75190833,75365987,75474986,75517691,75653618,75752387,75769091,75868765,75952307,76101491,76167587,76414307,76477489,76525096,76735612,76790085,76904769,77079491,77164285,77169092,77239691,77424006,77432018,77478491,77652467,77699747,77888147,77932278,78131137,78171288,78502113,78506197,78507827,78645491,78736907,78782507,78807828,78858347,78981717,79084667,79207516,79264438,79309187,79525758,79618492,79708787,79733950,79928267,79945293,80107696,80333147,80419091,80490491,80504747,80717627,80788187,80868541,81115286,81262691,81546933,81641426,81669052,81718776,81755027,81815018,81909424,81943691,81957107,82144091,82347222,82392075,82395347,82539491,82591667,82841649,83370866,83480485,83571107,83682491,83988491,84097427,84161830,84241667,84408491,84444273,84574497,84585491,84659198,84830267,84934972,84945587,85002947,85219091,85256618,85376507,85454627,85471150,85563208,85609691,85653707,85708547,85893205,85947467,86010694,86090733,86177773,86256491,86298587,86361491,86455307,86489121,86517491,86608797,86812990,86855636,86934707,86974691,87127716,87211907,87231467,87357827,87366433,87644267,87756827,87800018,87884880,87886691,87942699,87978491,88168667,88460387,88472786,88477787,88501062,88503827,88590107,88684091,88695685,88885787,88935491,88943747,89009507,89310506,89330627,89346347,89601107,89608691,89644586,89721491,89825147,89873581,89912747,89914408,90121158,90154110,90493691,90687491,90818867,90928667,91042518,91059347,91140818,91146227,91191827,91444091,91548491,91674491,91702821,91739480,91742867,91776467,91802066,91929587,91933623,91952027,92082467,92086691,92148102,92173547,92229491,92245187,92252987,92302907,92325491,92366147,92434091,92482307,92505827,92522387,92551691,92597142,92705507,92733227,92781107,92823947,92833691,92921987,92952707,92953706,93001691,93019132,93027491,93029147,93101747,93122987,93145427,93152627,93169091,93173147,93175067,93182027,93186491,93195227,93198491,93198805,93199091,93199187,93743872,94114689,94251208,94586666,95126965,95178980,95421916,95680740,95693608,96164384,96258609,96687986,96828085,98648485,98870490,99006652,...,56545151987763044608701782812197272256492662444845915271414034081312937558178940822683695804247489931897739675629314508772274254371530684074842211113289394290858454080632498125453841779920225891726913427272406965277506375825524753779266044915037284851681321700277177491003734981222513596729048850982158946978248560159031419231724440323282855524217014714725517722337426516512236811786613824391071015526026907243821561889972804124046978343912587646698483721079529661348176443983845524456291444900101817240405450286897577815658341166834087513054130371568468413371663046046864557692292040349850936343101970364748571376941404418710234703379470174243756649414132110960525798001364399796564047111747586920586657416921428936998861460279237883688955965718093388334059864002878627989935569874344228737446545939879830208118334719298200481497365572693142118321790264380262264538492257530582827538544280935868893512389801792749906574477977229475947757467872986350646419345519539200917167505751880737310720090239241682924526886438519136715674913471604500956847948219943042608406464050901588375170019012155773235276541145291986598141187666234271517274117890315438867094939394748179154220753052838766750749147287123622325190903602276426212958935347715492862247299953431988650382053305639299136662739494296145530361470089983006947431197851653270119834503308604721721984350691273169746249185629897133542205148586987870781315755917374436632106695063836103435866236391919906100057217519588242053553001632786267812932896311761420946622440375171329734344186591277145142513656691488171935958918143150092851926911715526638328266625531621563272028737185227052201283505078617346234374048185020734652877226882449916562361096785797408864733201746574343582396493290978555944039033024613138593863685859289474822728427927003887562091443617780330307699080292517838870031648282531460888406875306726106401471418693240459344371061834985605246512687969344353816898713134612020902499672826408757648694711508363406138695381017522792225067522843334686661186405395751516059036116087249026499674300338327546418766519779688236478212040493644127696514092367376445694459919503958942209077468425721799054634386917861304713485336179000220424912885030762994311296412445414062931056237151963162248092189850002337262729211048732158440853495213446582720126789447475928594606458796709100800637512999156656922879328199890919576384653054217784947146388665124129058575172049468726669233425430920025898336429573984364321092420735223796913220365454136366231275830110021643812152518664602472908742197883833938892269447684785908883369304593300360877945173187475846870632338920757908492883900244337008689689294919690766967248253616132032324837293941292853671989367060765581361902463905652571497110711825493842824626154898030059405406553726631919184293732236317082669486921486417152131766895980548275451334617718182500510009534900670167388859900798626885105148832211083452117228011692947461641614141869987760804624761502077500554900919332078118450517515189052916441557451407175792091894083937215080285635930180494898533563563367121}
19309  20039246610499769231450826651930943865986723500088965678787208734726125: {19309,289515,308816,347418,983739,1755299,2507570,2715519,2970506,2987315,3009084,3564395,3584778,3912419,4243580,4277274,5092296,5589170,5728833,5762627,5796959,6225179,6444395,6570047,6707004,7019315,7141379,7263659,7561288,7733274,8281370,8419679,8423178,8506449,8563179,9263579,9315395,9557807,9588639,9752138,9937644,10126725,10201970,10801840,11054666,11139794,11166239,11178474,11343551,11761139,11969699,12055625,12152070,12242364,12292346,12908027,12962208,12992799,13332027,13654010,14071019,14173247,14466750,14582484,14754779,14994971,15066794,15362859,15431200,15599915,15676826,15792380,15951770,16380899,16384812,16701311,16712427,16723756,17099570,17304851,17360100,18517440,18645599,18719898,18950856,19041724,19142124,19371659,19736319,19751936,19903466,19942547,20298986,20405919,20519484,20730827,20832120,21223418,21275315,21319713,21557951,21837599,22076139,22220928,22222499,23436135,23850779,23891080,23936906,23988539,24226307,24450227,24823624,24969626,24998544,25530378,25803059,25926431,26393439,26636570,26833106,26877465,27821548,27926577,28019567,28123362,28179827,28373727,28669296,28703019,28835711,29173427,29616479,29782319,30289439,30574019,31101539,31196570,31289608,31329579,31400315,31656927,31963884,32224456,32252958,32258627,32376818,32856796,32964159,33056507,33245925,33290427,33472607,33998411,34074664,34195580,34609010,34616699,34665074,34899119,35082938,35151551,35200809,35462320,35546099,36077356,36101807,36252513,36754634,37330859,37435884,37607306,37680378,37688459,37978748,38333997,38577386,38841599,38987459,38999039,39062699,39723851,39895110,39901247,39904648,40092159,40661219,40752044,41034696,41457338,41530812,41590394,41905725,41941979,42274607,42512428,42546170,42554784,43040764,43359227,43677170,43786427,44300927,44430770,44699440,44892729,45444527,45745586,46086664,46164033,46240319,46394666,46885178,46938280,47688938,47748927,47818010,47874132,47917226,48034811,48036707,48728159,49134947,49785928,50286870,50663368,50721839,51055404,51300395,51500099,51539080,51574010,51600746,51847497,52412604,52423706,52471227,52506620,52805565,53316924,53443725,53639328,53722299,53829489,53961779,54060765,54128188,54188171,54202154,54909791,55292627,55696370,55903359,56009169,56272619,56325936,56353778,56996289,57006640,57191939,57287915,57381612,57454779,57664816,57677267,57981465,58481759,58582106,59995115,60344244,60613994,60732040,61000732,61057199,61560474,61846896,61888812,62091016,62749658,63007944,63169619,63300927,63366678,63559048,64082725,64132470,64510538,64521759,64872918,65269178,65678879,65767418,66042939,66106106,66649899,66835644,66959459,67852725,68163519,68237234,68323545,68399877,68407968,68443547,68453180,68464127,68745498,69577758,69666515,69787754,69852393,69948827,70094234,70158572,70883937,71084786,71174559,71226479,71503929,71670746,71994138,72290579,72376240,72459770,72838216,72864395,72878448,72955324,73118265,73567839,73571570,74070026,74219027,74653946,74867807,74989115,75830399,76049315,76487711,76899270,76957089,76958964,77157371,77284379,77989946,77992816,78051947,78212459,78392747,78675107,78693515,78873311,78927004,79094426,80078079,80272045,80802395,81250527,81291827,81423270,81428425,81702770,81942993,81988254,82025888,82077736,82143816,82469807,82469951,82745834,83002719,83059379,83430395,83499698,83522445,83545370,83599818,83731907,83875226,84143836,84872927,84883034,85123725,85962539,86006258,86049395,86510591,86591420,86772459,86851488,86951724,87224570,87361199,87437274,87563738,87741918,88259356,88285884,89090608,89124218,89302024,89647419,89788859,89986938,90219819,90740915,90798640,90879578,91070111,91259178,91260395,91362027,91452299,91546750,92277059,92279124,92337453,92411793,92776427,92923466,93061907,93204059,93528239,93572138,93636074,93826970,93919359,94167827,94432218,95230586,95363546,95367932,95614527,95656370,95689274,95727688,95919515,96326454,96461365,96860968,96962874,96968306,97537739,97707924,97714110,97863148,98043324,98259626,98509785,98702139,98767907,99009395,99523115,99667187,99818427,99937929,...,75393535983684059478269043749596363008656883259794553695218712108417250077571921096911594405663319909196986234172419345029699005828707578766456281484385859054477938774176664167271789039893634522302551236363209287036675167767366338372354726553383046468908428933702903321338313308296684795638731801309545262637664746878708558975632587097710474032289352952967356963116568688682982415715485099188094687368035876325095415853297072165395971125216783528931311628106039548464235258645127365941721926533469089653873933715863437087544454889112116684072173828757957884495550728062486076923056053799801248457469293819664761835921872558280312937839293565658342199218842814614034397335152533062085396148996782560782209889228571915998481947038983844918607954290791184445413152003838170653247426499125638316595394586506440277491112959064267308663154096924189491095720352507016352717989676707443770051392374581158524683186402390333208765970636305967930343290497315134195225794026052267889556674335840983080960120318988910566035848584692182287566551295472667942463930959924056811208618734535451166893358682874364313702054860389315464188250221645695356365490520420585156126585859664238872294337403785022334332196382831496433587871469701901617278580463620657149663066604575984867176071074185732182216985992394860707148626786644009263241597135537693493112671078139628962645800921697559661665580839862844722940198115983827708421007889832582176142260085114804581154981855893208133409623359450989404737335510381690417243861749015227928829920500228439645792248788369526856684875588650895914611890857533457135902548954035517771022167375495417696038316246969402935044673438156461645832064246694312870502969176599888749814795714396545152977602328765791443195324387971407925385377366150851458484914479052633096971237236005183416121924823707107076932107056690451826708864376708614517875833742301475201961891590987279125828082446647473662016917292459138422531617512816027869999563768545010198259615344484541518260508023363722966756697124446248881581873861002021412048154782998701999565733784436728558355359706250981970949387324858836928685456489835260925946559338611922945436624567629065406179182557148406284647114905333627233217180041017325748395216593885417241408316202617549664122919800003116350305614731642877921137993617928776960169052596634571459475278395612134400850017332208875897172437599854559435179537405623713262861851553498838744766896065958302225644567241226701197781906098645819094789894313631729217627153938848488308367773480028858416203358219469963878322930511778585189692596913047878511159072791067147837260230916634462494176451894343877990511866992449344919585726559587689289664338154842709766449725255057138229319156081020775149203285207536761996147615767325123766168206530706745873875404968842558912391642981756110225982561981889536175689194640731033935112823624243334013346046534226889851813201064835846806865109614777936156304015590596615522152189159983681072833015336103334073201225776104157934023353585403888588743268542901056122525445249620107047514573573993198044751417822828}
19310  20118389089956017851967202604765422902977428722763059070406345949721353: {270214,386020,463224,521127,713101,732982,828481,1174189,1311652,1404301,1519249,1579894,1863661,1978321,2271382,2436241,2731654,3420982,3620692,3726934,3761355,3879814,4012112,4256401,4369549,4455759,4513626,4595629,4779704,4871974,5304475,5377167,5703032,5785414,6282049,6365370,6393094,6393901,6415911,6616127,6789728,7508461,7638444,8383755,8662774,8738182,8942672,9114982,9451610,9792214,9825601,10060506,10311032,10318054,10543174,11230904,11341932,11417572,11569729,11599911,11666614,11786449,12422055,12542701,12634767,12784852,13233382,13250192,13502300,13509841,14044621,14258029,14577601,14628207,14718982,14904632,14906466,15015334,15302955,15320749,15459382,15743821,15849409,16165741,16202760,16271041,16323152,16566982,16581999,16709691,16767711,16935382,17282944,17323732,17776036,18228105,18258061,18363546,18438519,18465709,18673069,19289000,19443312,19576054,19740475,19808401,19911181,20481015,20483812,20526349,20904695,21615574,21700125,21720671,21846416,21873726,21951661,22283236,22558189,22600191,22703014,23064694,23146800,23362861,23515239,23688570,23763469,23802155,23927655,24147334,24577218,24689920,24759949,24959864,25057489,25085634,25267808,25522832,25551949,25649355,25728694,25847761,26040150,26044609,26241169,26315092,26437441,27207892,27359312,27378407,27511789,27776160,28079847,28196399,28287661,28426284,28512982,28562586,28713186,28770241,29152054,29434852,29627904,29815331,29855199,29863850,30448479,30567574,30587629,30779226,30872209,31029530,31248180,31533709,31625014,31835127,32468374,32472589,32566081,32752849,33331392,33379414,33519334,33589741,33867409,34040504,34148182,34427254,34512781,34566694,34776935,34788289,34879981,34916567,35191252,35428621,35471494,35828507,35836620,35905359,36512134,36788881,37235436,37272982,37342054,37454439,37497816,37686721,37831636,37962982,38225728,38270692,38295567,38376214,38666029,38843149,39112010,39749494,39812161,39954855,39954934,40249659,40280570,40325831,40337041,40365382,40424269,40638694,41070995,41551681,41732322,41772772,42185043,42209236,42593330,42618512,42744475,42752209,42815974,43003944,43019254,43562687,43685581,43952212,44275009,44327900,44330447,44387236,44505574,44526541,44944321,45096695,45111382,45447382,45526189,46104529,46679341,46794855,46934412,47006221,47454982,47473435,47521654,47721574,47945826,48336684,48379437,48543169,48565227,49285194,49421101,49738189,49880810,49914512,49975249,50109382,50240504,50456714,50525869,50940055,51032374,51111996,51150829,51293370,51913515,51997611,52233421,52348439,52476454,52624407,52803574,53074129,53140535,53193480,53456212,53755501,53800955,53981329,54116034,54329639,54505741,54712928,55131951,55341382,55354091,55374416,55614167,55729654,55874300,55988182,56153826,56203969,56349841,56410959,56520567,56697814,56739712,56930449,56968122,57074881,57533974,57608330,57649729,57864109,57866079,58077841,58574029,58672850,59835382,59842665,59856972,60153382,60317329,60632858,61128066,61273921,61477069,61552044,61814209,62186007,62232410,62283181,62296218,62385591,62483089,62682982,63329210,63374134,63665236,63668929,63733439,63768642,63819255,63832176,64000774,64423850,64510861,64561146,64831441,65213761,65435974,65515755,65633275,65808982,65845201,66033229,66367414,66469441,66646155,66778861,67049160,67109974,67579831,67635661,67660235,67665382,68073872,68239021,68243714,68618379,68833654,69129996,69248209,69591999,69751894,69883472,69948049,69961636,70236589,70327767,70407420,70637521,70694509,71089232,71258300,71260429,71334982,71428801,71519104,71533407,71629732,71727015,71772652,71811198,71818019,71875839,72081020,72095809,72243382,72589261,73076881,73509094,73611841,74087149,74537812,74660161,74678892,75101248,75173521,75376849,75427501,75430305,75780049,75915050,75979921,75995052,76129069,76250915,76508816,76583106,76606372,76621549,76962001,77106829,77263894,77308620,77361015,77401119,77442241,77613770,77677174,77854054,77915281,77954282,78139271,78148534,78618906,78635559,78759930,78885229,79448810,79975386,80172481,80315254,80458992,80489974,80516929,80606374,80814541,80941009,81024961,81192282,81303231,81357889,81399181,81604561,81808141,81969709,82080632,82209901,82229254,82249681,82462528,82518416,82760269,82832959,83068429,83144749,83380774,83447149,83544555,83559361,83596621,83707969,83761727,83928721,84010592,84326701,84401236,84433729,84488904,84530667,84540109,84640054,84680941,84753347,84855361,85027981,85198801,85437382,85509960,85566475,85993681,86029012,86072418,86288182,86469421,86497224,86531629,87135382,87255661,87360694,87372301,87698215,87873159,87910609,87993229,88057252,88203334,88475341,88483414,88527469,88539382,88589666,88866532,88958929,89042374,89081869,89114192,89376982,89463181,89486401,89624209,90022081,90043501,90233041,90328007,90382487,90456781,90470300,90516289,90516366,90652621,90671809,90820294,90884692,90920991,90986989,91040449,91047770,91075729,91098060,91194155,91199836,91210624,91281361,91428781,91501098,91523821,91660664,91691329,91750081,91933069,91942466,91973569,92065549,92103889,92142982,92154001,92202961,92331661,92340711,92451649,92709229,92770344,92780051,92799121,92833218,92844481,92873281,92946541,92965009,93011089,93047629,93117901,93121681,93136524,93155521,93172369,93217261,93218449,93218989,93676154,94001014,94109734,94124487,94511916,94619467,94814854,94899412,95050017,95085334,95338572,95894374,95992184,96071759,96198705,96216982,96765807,97020982,97171264,97309377,97491020,97903767,98090452,98651127,98658755,98935894,99159159,99938182,...,113090303975526089217403565624394544512985324889691830542828068162625875116357881645367391608494979863795479351258629017544548508743061368149684422226578788581716908161264996250907683559840451783453826854544813930555012751651049507558532089830074569703362643400554354982007469962445027193458097701964317893956497120318062838463448880646565711048434029429451035444674853033024473623573227648782142031052053814487643123779945608248093956687825175293396967442159059322696352887967691048912582889800203634480810900573795155631316682333668175026108260743136936826743326092093729115384584080699701872686203940729497142753882808837420469406758940348487513298828264221921051596002728799593128094223495173841173314833842857873997722920558475767377911931436186776668119728005757255979871139748688457474893091879759660416236669438596400962994731145386284236643580528760524529076984515061165655077088561871737787024779603585499813148955954458951895514935745972701292838691039078401834335011503761474621440180478483365849053772877038273431349826943209001913695896439886085216812928101803176750340038024311546470553082290583973196282375332468543034548235780630877734189878789496358308441506105677533501498294574247244650381807204552852425917870695430985724494599906863977300764106611278598273325478988592291060722940179966013894862395703306540239669006617209443443968701382546339492498371259794267084410297173975741562631511834748873264213390127672206871732472783839812200114435039176484107106003265572535625865792623522841893244880750342659468688373182554290285027313382976343871917836286300185703853823431053276656533251063243126544057474370454104402567010157234692468748096370041469305754453764899833124722193571594817729466403493148687164792986581957111888078066049226277187727371718578949645456855854007775124182887235560660615398160585035677740063296565062921776813750613452212802942837386480918688742123669971210493025375938688707633797426269224041804999345652817515297389423016726812277390762035045584450135045686669373322372810791503032118072232174498052999348600676655092837533039559376472956424080987288255393028184734752891388919839007917884418154936851443598109268773835722609426970672358000440849825770061525988622592824890828125862112474303926324496184379700004674525458422097464316881706990426893165440253578894951857189212917593418201601275025998313313845758656399781839152769306108435569894292777330248258117150344098937453338466850861840051796672859147968728642184841470447593826440730908272732462551660220043287624305037329204945817484395767667877784538895369571817766738609186600721755890346374951693741264677841515816985767800488674017379378589839381533934496507232264064649674587882585707343978734121531162723804927811305142994221423650987685649252309796060118810813107453263838368587464472634165338973842972834304263533791961096550902669235436365001020019069801340334777719801597253770210297664422166904234456023385894923283228283739975521609249523004155001109801838664156236901035030378105832883114902814351584183788167874430160571271860360989797067127126734242}
19311  20197841898757249331167602578386240821283555858130528476548521222640244: {38618,405321,482525,579030,617632,694836,1099473,1639565,1967478,2333969,2369841,3407073,3510598,4097481,4182241,4525865,4990153,5015140,5131473,5431038,5590401,5819721,5941012,5974630,6018168,6770439,6957553,7128790,7169556,7307961,7764601,7824838,8487160,8554548,8678121,8685809,9022153,9548055,9589641,9827041,10184592,11178340,11457666,11525254,11593918,12450358,12845753,12888790,12994161,13041553,13107273,13140094,13414008,13672473,14038630,14177415,14271965,14282758,14527318,14688321,15090759,15122576,15254941,15466548,15477081,15726433,15814761,15981065,16562740,16750201,16839358,16846356,16877875,17012898,17126358,17499921,18498289,18527158,18630790,18807569,19115614,19177278,19504276,19737913,19850073,19875288,20253450,20403940,21603680,21654665,21839881,22078473,22109332,22220045,22279588,22288729,22332478,22356948,22359699,22523001,22687102,23189073,23522278,23939398,24111250,24304140,24484728,24584692,24850473,25403073,25604765,25642921,25816054,25924416,25985598,26335453,26656753,26664054,27106721,27308020,27545319,27854045,28142038,28346494,28838713,28878641,28933500,29164968,29364081,29509558,29785441,29989942,30133588,30596521,30725718,30862400,31199830,31353652,31584760,31903540,32423361,32761798,32769624,32810589,32893865,33402622,33424854,33447512,34009865,34054521,34199140,34597041,34609702,34720200,35532855,36221001,36343129,36793565,36846701,36865827,37034880,37291198,37439796,37628451,37649249,37901712,38083448,38284248,38593041,38743318,39060225,39066781,39472638,39503872,39555449,39727993,39806932,39885094,39905401,40597972,40811838,41038968,41461654,41664240,42446836,42550630,42639426,42676001,42769473,42843879,43069779,43115902,43363741,43465441,43675198,43728081,43960441,43989065,44152278,44441856,44444998,44616653,44795775,45851361,46168839,46471409,46544295,46872270,47204441,47289545,47437521,47614153,47625281,47701558,47782160,47838365,47854601,47873812,47977078,48452614,48702561,48900454,49647248,49939252,49997088,50069121,50279001,50379961,51060756,51222273,51606118,51640881,51850041,51852862,52215965,52355641,52761545,52786878,53207241,53273140,53666212,53754930,54768201,54915529,54940265,55074041,55409875,55484045,55643096,55853154,55909473,56013081,56039134,56181149,56234861,56246724,56312729,56359654,56747454,56768413,56944473,57338592,57406038,57564321,57671422,57683281,57720041,58346854,58668015,59232958,59564638,59624241,59932401,60420855,60548073,60578878,60958041,61148038,62203078,62393140,62579216,62598483,62659158,62800630,63313854,63889995,63927768,64223961,64448912,64505916,64517254,64528881,64753636,65589353,65713592,65928318,66113014,66491850,66580854,66758361,66820265,66945214,67667073,67996822,68149328,68171073,68391160,69218020,69233398,69330148,69798238,69842875,69991469,70165876,70303102,70401618,70924640,71092198,71182473,71282481,71582361,71820553,71918739,72154712,72203614,72505026,73443761,73509268,73571201,73927791,74661718,74821215,74825081,74871768,75164073,75214612,75360756,75376918,75685071,75957496,76495729,76548561,76667994,76940055,77154772,77683198,77974918,77998078,78125398,78400921,78714681,79205361,79447702,79581545,79697321,79790220,79802494,79809296,80184318,80203081,80349209,80795353,80920169,81174051,81322438,81504088,82069392,82478569,82914676,83012073,83061624,83172653,83180788,83363489,83594481,83811450,83883958,83982273,83993161,84068081,84230739,84549214,85024856,85046721,85087601,85092340,85109568,85452183,86081528,86300961,86412495,86718454,87234529,87354340,87452045,87572854,88009275,88601854,88754381,88861540,89072875,89398880,89457929,89537165,89715815,89753073,89785458,90101275,90230073,90825101,90889054,90949287,90966761,91491172,91692099,92173328,92328066,92480638,92789332,93172265,93213913,93348615,93444327,93770356,93876560,94024473,94643981,94993815,95061201,95377876,95497854,95532569,95636020,95652963,95748264,95757965,95834452,96001161,96069622,96073414,96340553,96635775,96841719,97456318,97533121,98153961,98269894,98713473,99551121,99571856,...,169635455963289133826105348436591816769477987334537745814242102243938812674536822468051087412742469795693219026887943526316822763114592052224526633339868182872575362241897494376361525339760677675180740281817220895832519127476574261337798134745111854555043965100831532473011204943667540790187146552946476840934745680477094257695173320969848566572651044144176553167012279549536710435359841473173213046578080721731464685669918412372140935031737762940095451163238588984044529331951536573368874334700305451721216350860692733446975023500502262539162391114705405240114989138140593673076876121049552809029305911094245714130824213256130704110138410522731269948242396332881577394004093199389692141335242760761759972250764286810996584380837713651066867897154280165002179592008635883969806709623032686212339637819639490624355004157894601444492096718079426354965370793140786793615476772591748482615632842807606680537169405378249719723433931688427843272403618959051939258036558617602751502517255642211932160270717725048773580659315557410147024740414813502870543844659829127825219392152704765125510057036467319705829623435875959794423562998702814551822353670946316601284818184244537462662259158516300252247441861370866975572710806829278638876806043146478586741899860295965951146159916917897409988218482888436591084410269949020842293593554959810359503509925814165165953052073819509238747556889691400626615445760963612343947267752123309896320085191508310307598709175759718300171652558764726160659004898358803438798688935284262839867321125513989203032559773831435427540970074464515807876754429450278555780735146579914984799876594864689816086211555681156603850515235852038703122144555062203958631680647349749687083290357392226594199605239723030747189479872935667832117099073839415781591057577868424468185283781011662686274330853340990923097240877553516610094944847594382665220625920178319204414256079721378033113185504956815739538063908033061450696139403836062707499018479226272946084134525090218416086143052568376675202568530004059983559216187254548177108348261747079499022901014982639256299559339064709434636121480932383089542277102129337083379758511876826627232405277165397163903160753583914140456008537000661274738655092288982933889237336242188793168711455889486744276569550007011788187633146196475322560485640339748160380368342427785783819376390127302401912538997469970768637984599672758729153959162653354841439165995372387175725516148406180007700276292760077695009288721953092963277262205671390739661096362409098693827490330064931436457555993807418726226593651501816676808343054357726650107913779901082633835519562427540611897016762273725478651700733011026069067884759072300901744760848396096974511881823878561015968101182296744085707391716957714491332135476481528473878464694090178216219661179895757552881196708951248008460764459251456395300687941644826354003853154547501530028604702010502166579702395880655315446496633250356351684035078842384924842425609963282413874284506232501664702757996234355351552545567158749324672354221527376275682251811645240856907790541484695600690690101363}
19312  20277606245045171528380384742309358745566114772928110290932055371314608: {57927,212311,443647,540428,772040,868545,926448,1020727,1042254,1426202,1465964,1656962,1940311,2348378,2512711,2623304,2808602,2855287,2951217,3038498,3159788,3311047,3652111,3727322,3956642,4445407,4542764,4558447,4872482,5265897,5347711,5463308,5909311,6268925,6692527,6841964,7241384,7426265,7453868,7522710,7583311,7759628,8024224,8146557,8358967,8512802,8739098,8911518,8961945,9027252,9191258,9559408,9570727,9743948,10555687,10608950,10664767,10693185,10754334,11100367,11209087,11406064,11570828,11737257,11968111,12564098,12730740,12786188,12787802,12831822,13232254,13368367,13579456,13972925,14330647,14968927,15016922,15276888,16763311,16767510,17186499,17287111,17287881,17325548,17390877,17476364,17809111,17885344,18017407,18229964,18675537,18903220,19333185,19364311,19584428,19651202,19710141,20121012,20622064,20636108,20703425,21057945,21086348,21107287,21412711,21424137,21615967,21790977,22122847,22461808,22683864,22835144,23139458,23199822,23333228,23572898,24380345,24630247,24844110,25085402,25225327,25259037,25269534,25504925,25519347,25569704,25689537,26466764,26500384,27004600,27019682,27092647,27636665,27790737,27849485,27946185,28065007,28089242,28516058,28673421,28765917,29155202,29256414,29266573,29437964,29809264,29812932,30030668,30380175,30464407,30605910,30641498,30730865,30918764,31487642,31698818,31882447,32331482,32405520,32542082,32646304,33133964,33163998,33323017,33419382,33498717,33535422,33870764,34030653,34135025,34302007,34565888,34647464,35283417,35552072,35857711,35909097,36166875,36456210,36516122,36582607,36727092,36877038,36931418,36943327,37346138,37666985,37840087,38578000,38724081,38886624,38978397,39152108,39192065,39480950,39612007,39616802,39644561,39822362,39879425,39996081,40312711,40748311,40922047,40962030,40967624,41052698,41182111,41809390,42213057,42342781,42519741,42728887,42748925,43231148,43400250,43441342,43578127,43692832,43747111,43747452,43903322,44264337,44336287,44566472,44754967,44984913,45116378,45200382,45406028,46088577,46129388,46293600,46493767,46725722,46799745,47030478,47066311,47310607,47377140,47526938,47604310,47855310,48294668,48442087,48687709,49082311,49142697,49154436,49379840,49519898,49758665,49919728,50034007,50103933,50112847,50114978,50137281,50171268,50505967,50535616,50747465,51045664,51103898,51298710,51457388,51674527,51695522,51829111,51914553,52080300,52089218,52214311,52482338,52630184,52874882,53058545,53620061,53963047,54415784,54718624,54756814,55023578,55552320,55820647,55936797,56159694,56332711,56392798,56575322,56852568,57025964,57125172,57418111,57426372,57499393,57540482,58114977,58304108,58487311,58869704,59208957,59255808,59540311,59630662,59710398,59727700,59827641,59842265,60233311,60439807,60896958,61135148,61175258,61217757,61249793,61394887,61558452,61744418,61799887,61866337,62059060,62135407,62192481,62424065,62496360,62801047,63067418,63135373,63250028,63590311,63670254,63786007,63825945,63959139,64110727,64673853,64936748,64945178,65132162,65328247,65505698,65512797,65833111,66228417,66457711,66462809,66591425,66662784,66667497,66758828,67038668,67082765,67179482,67734818,68081008,68108167,68296364,68408047,68467807,68587111,68854508,68884111,69025562,69133388,69179311,69553870,69576578,69589567,69759962,69833134,70308405,70382504,70514047,70857242,70942988,71025967,71316077,71552337,71643727,71657014,71673240,71810718,71965617,72240509,72678921,72961327,73024268,73350681,73577762,73657711,73922311,74080207,74289727,74396749,74470872,74545964,74684108,74908878,74962711,74995632,75116287,75321337,75373442,75663272,75724111,75824407,75925964,76222711,76451456,76541384,76591134,76714111,76752428,77332058,77409177,77532967,77686298,77779293,77991425,78224020,78469687,78699367,78745087,78836311,79180317,79498988,79624322,79732711,79867073,79909710,79909868,80256727,80499318,80561140,80632395,80651662,80674082,80730764,80848538,80942045,81277388,81315127,81725887,81766567,82049311,82141990,82169407,82328527,82368127,82565047,83103362,83221111,83410111,83464644,83545544,83708767,83779731,83893087,84058701,84220327,84256327,84370086,84418472,84506311,84539481,85121181,85186660,85237024,85269007,85488950,85504418,85631948,85637287,85703311,86007888,86038508,86093407,86109057,86410567,86507133,86522525,86662685,86751127,86963311,87125374,87171967,87260311,87371162,87520281,87707345,87832711,87904424,88507711,88550018,88585687,88655800,88660894,88688647,88714207,88774472,88849437,89011148,89053082,89346957,89377111,89767567,89878447,89888642,89900407,89944111,90158311,90193390,90221167,90222764,90623647,90719767,90868317,90894764,91052378,91173367,91241767,91566487,91718047,91722057,91732807,91886585,91931887,92065447,92209058,92287711,92322487,92422927,92476207,92578013,92587087,92766367,92806687,92822311,92860111,92881927,92993311,93005047,93038527,93049111,93157111,93200311,93204847,93207007,93220111,93237247,93304617,93358682,93589710,93868824,93988737,94012442,94018265,94200945,94724329,94909964,94946870,94970781,95043308,95443148,95494289,95891652,96443465,96673368,96758874,96775881,97086338,97130454,97893497,98570388,98842202,98892477,99169521,99476378,99737775,99761620,99829024,99871281,99950498,...,226180607951052178434807131248789089025970649779383661085656136325251750232715763290734783216989959727590958702517258035089097017486122736299368844453157577163433816322529992501815367119680903566907653709089627861110025503302099015117064179660149139406725286801108709964014939924890054386916195403928635787912994240636125676926897761293131422096868058858902070889349706066048947247146455297564284062104107628975286247559891216496187913375650350586793934884318118645392705775935382097825165779600407268961621801147590311262633364667336350052216521486273873653486652184187458230769168161399403745372407881458994285507765617674840938813517880696975026597656528443842103192005457599186256188446990347682346629667685715747995445841116951534755823862872373553336239456011514511959742279497376914949786183759519320832473338877192801925989462290772568473287161057521049058153969030122331310154177123743475574049559207170999626297911908917903791029871491945402585677382078156803668670023007522949242880360956966731698107545754076546862699653886418003827391792879772170433625856203606353500680076048623092941106164581167946392564750664937086069096471561261755468379757578992716616883012211355067002996589148494489300763614409105704851835741390861971448989199813727954601528213222557196546650957977184582121445880359932027789724791406613080479338013234418886887937402765092678984996742519588534168820594347951483125263023669497746528426780255344413743464945567679624400228870078352968214212006531145071251731585247045683786489761500685318937376746365108580570054626765952687743835672572600371407707646862106553313066502126486253088114948740908208805134020314469384937496192740082938611508907529799666249444387143189635458932806986297374329585973163914223776156132098452554375454743437157899290913711708015550248365774471121321230796321170071355480126593130125843553627501226904425605885674772961837377484247339942420986050751877377415267594852538448083609998691305635030594778846033453624554781524070091168900270091373338746644745621583006064236144464348996105998697201353310185675066079118752945912848161974576510786056369469505782777839678015835768836309873702887196218537547671445218853941344716000881699651540123051977245185649781656251724224948607852648992368759400009349050916844194928633763413980853786330880507157789903714378425835186836403202550051996626627691517312799563678305538612216871139788585554660496516234300688197874906676933701723680103593345718295937457284369682940895187652881461816545464925103320440086575248610074658409891634968791535335755569077790739143635533477218373201443511780692749903387482529355683031633971535600977348034758757179678763067868993014464528129299349175765171414687957468243062325447609855622610285988442847301975371298504619592120237621626214906527676737174928945268330677947685945668608527067583922193101805338470872730002040038139602680669555439603194507540420595328844333808468912046771789846566456567479951043218499046008310002219603677328312473802070060756211665766229805628703168367576335748860321142543720721979594134254253468484}
19313  20357683341631222532962840922524686018650343789220484769741488498547102: {77236,675535,810642,965050,1158060,1235264,1389672,1563381,1832455,2139303,2198946,2295391,2485443,2758327,3279130,3522567,3934956,3949735,4212903,4557747,4667938,4739682,5590983,5678455,5934963,6148087,6336211,6814146,6829135,7021196,7308723,7535743,8194962,8364482,8552455,9051730,9109507,9317335,9498631,9699535,9980306,10030280,10192243,10262946,10265047,10862076,11180802,11222167,11284065,11639442,11882024,11949260,12036336,12113911,12179935,12769203,13108647,13367277,13540878,13731667,13786887,13915106,14257580,14339112,14463535,14615922,15019411,15379951,15529202,15649676,15913425,15982735,16131501,16974320,17109096,17356242,17371618,17546947,18044306,18151807,18809527,18846147,19096110,19179282,19181703,19247733,19294711,19654082,19848381,19980751,20369184,21656935,21845455,22227127,22356680,22373491,22525383,22787455,22915332,23050508,23187836,23449903,23629025,24480535,24900716,25151265,25691506,25777580,25795135,25988322,26083106,26096467,26214546,26220031,26280188,26357935,26828016,27109543,27344946,28077260,28354830,28543930,28565516,29054636,29060191,29166535,29300227,29376642,29476803,29558047,30181518,30245152,30295747,30316531,30509882,30933096,30954162,31108063,31384627,31452866,31629522,31962130,32327311,33083455,33125480,33500402,33678716,33692712,33755750,34025796,34129303,34252716,34316227,34709187,34799733,34906387,34999842,35359347,35846671,36666163,36797455,36850543,36996578,37054316,37261580,37266165,37538335,37615138,37628103,37904301,38069911,38231228,38354556,38648455,38995663,39008552,39475826,39559567,39700146,39750576,40506900,40529523,40669687,40807880,41181607,41417455,41762887,42133863,42283411,42338455,42454771,42774087,43207360,43309330,43679762,43732803,43884621,44156946,44218664,44440090,44494567,44559176,44577458,44664956,44713896,44719398,45046002,45267991,45374204,45908865,45962247,46051411,46378146,46476247,46800787,47044556,47209363,47231463,47548227,47613811,47696707,47859583,47878796,48044887,48046711,48086767,48222500,48497223,48608280,48738307,48813123,48873847,48940135,48969456,49169384,49700946,49745997,49865671,50129073,50303133,50806146,51081991,51209530,51285842,51510991,51632108,51848832,51971196,52599811,52670906,53261011,53313506,53328108,53952463,54038935,54213442,54616040,54684315,54774183,55090638,55315557,55397127,55708090,55975123,56019207,56187007,56284076,56284423,56692988,56731411,56757535,57293647,57661735,57677426,57757282,57867000,58329936,58728162,59019116,59221425,59425203,59570882,59733543,59979884,60055711,60267176,60368335,61193042,61266007,61443045,61451436,61579047,61584691,61724800,62399660,62707304,62714085,62850727,63169520,63807080,64321735,64846722,65087503,65100375,65162013,65523596,65539248,65596207,65621178,65787730,65854983,66205363,66469747,66551407,66805244,66849708,66895024,66973711,67674567,67800573,68019730,68109042,68398280,69194082,69219404,69440400,69998767,70088583,70545717,70555231,71065710,71282455,71290407,71406465,71782965,72305743,72442002,72686258,72880135,73102351,73405687,73587130,73587271,73693402,73731654,73866163,74069760,74279847,74582396,74659625,74832883,74879592,75172467,75256902,75298498,75803424,76166896,76418935,76568496,76655847,76916371,76948065,77186082,77486636,77543283,77573825,77677663,78120450,78133562,78133827,78723507,78945276,79007744,79062535,79110898,79312323,79455986,79613864,79705747,79770188,79810802,80120503,80310847,80357587,80928727,81170935,81195944,81623676,82077936,82135221,82535367,82612567,82923308,83072911,83328480,83448535,83798335,84239541,84589197,84862983,84893672,85101260,85278852,85352002,85370455,85538946,85639447,85687758,86068135,86139558,86231804,86310723,86416735,86727482,86930882,86947783,87350396,87456162,87920882,87978130,88168963,88304556,88678735,88883712,88889996,89233306,89445993,89565597,89591550,89873047,90384967,91280335,91345437,91471543,91702722,91762887,91899907,92337678,92590387,92616627,92768083,92942818,92957671,93083863,93088590,93182455,93355135,93548371,93744540,94187743,94408882,94579090,94601127,94875042,94907455,95097907,95228306,95250562,95403116,95505381,95564320,95632927,95676730,95709202,95747624,95940535,95947027,95954156,96905228,97015591,97405122,97417767,97698243,97780025,97800908,98141311,98258547,98516983,98520487,99294496,99373735,99878504,99887335,99994176,...,339270911926578267652210696873183633538955974669075491628484204487877625349073644936102174825484939591386438053775887052633645526229184104449053266679736365745150724483794988752723050679521355350361480563634441791665038254953148522675596269490223709110087930201663064946022409887335081580374293105892953681869491360954188515390346641939697133145302088288353106334024559099073420870719682946346426093156161443462929371339836824744281870063475525880190902326477177968089058663903073146737748669400610903442432701721385466893950047001004525078324782229410810480229978276281187346153752242099105618058611822188491428261648426512261408220276821045462539896484792665763154788008186398779384282670485521523519944501528573621993168761675427302133735794308560330004359184017271767939613419246065372424679275639278981248710008315789202888984193436158852709930741586281573587230953545183496965231265685615213361074338810756499439446867863376855686544807237918103878516073117235205503005034511284423864320541435450097547161318631114820294049480829627005741087689319658255650438784305409530251020114072934639411659246871751919588847125997405629103644707341892633202569636368489074925324518317032600504494883722741733951145421613658557277753612086292957173483799720591931902292319833835794819976436965776873182168820539898041684587187109919620719007019851628330331906104147639018477495113779382801253230891521927224687894535504246619792640170383016620615197418351519436600343305117529452321318009796717606877597377870568525679734642251027978406065119547662870855081940148929031615753508858900557111561470293159829969599753189729379632172423111362313207701030471704077406244289110124407917263361294699499374166580714784453188399210479446061494378959745871335664234198147678831563182115155736848936370567562023325372548661706681981846194481755107033220189889695188765330441251840356638408828512159442756066226371009913631479076127816066122901392278807672125414998036958452545892168269050180436832172286105136753350405137060008119967118432374509096354216696523494158998045802029965278512599118678129418869272242961864766179084554204258674166759517023753653254464810554330794327806321507167828280912017074001322549477310184577965867778474672484377586337422911778973488553139100014023576375266292392950645120971280679496320760736684855571567638752780254604803825077994939941537275969199345517458307918325306709682878331990744774351451032296812360015400552585520155390018577443906185926554524411342781479322192724818197387654980660129862872915111987614837452453187303003633353616686108715453300215827559802165267671039124855081223794033524547450957303401466022052138135769518144601803489521696792193949023763647757122031936202364593488171414783433915428982664270952963056947756929388180356432439322359791515105762393417902496016921528918502912790601375883289652708007706309095003060057209404021004333159404791761310630892993266500712703368070157684769849684851219926564827748569012465003329405515992468710703105091134317498649344708443054752551364503623290481713815581082969391201381380202726}
19314  20438074406014490819388302558096067425962557881171253287046075523613624: {96545,115854,250913,424622,790193,887294,905549,1080856,1215963,1447575,1544080,1596173,1737090,1852896,1940513,1978733,2041454,2055149,2084508,2512973,2852404,2893613,2931928,3007649,3298419,3311393,3313924,3690353,3880622,4332749,4445873,4596593,4696756,4918695,5010413,5025422,5246608,5273249,5385773,5617204,5710574,5902434,5947313,6076996,6319576,6622094,6953549,7001907,7109523,7304222,7454644,7510049,7584113,7913284,8776495,8890814,9085528,9116894,9744964,9791153,10156193,10221219,10396771,10447649,10531794,10695422,10702253,10926616,11246513,11463713,11818622,12005453,12185633,12292443,12537850,12546723,12617249,13385054,13512749,13577595,13683928,14118833,14332193,14482768,14758049,14852530,14907736,14936575,14970459,15005933,15045420,15166622,15182753,15394419,15519256,15747233,15817649,15923213,16048448,16239473,16293114,16344749,16717934,16771203,17025604,17393549,17459163,17478196,17821975,17823036,17923890,18054504,18382516,18538913,19118816,19141454,19366433,19400813,19487896,19562095,19881293,19984049,20086733,20311317,20428493,20872659,21111374,21217900,21245453,21329534,21386370,21415073,21508668,21516749,21618353,21923883,22024049,22200734,22361249,22418174,22812128,23141656,23293803,23434913,23474514,23868749,23936222,25128196,25458893,25461480,25572376,25575604,25623473,25663644,25919213,26034363,26057427,26464508,26508749,26736734,27066459,27095693,27158912,27225773,27582833,27809549,27945850,28358513,28455149,28644165,28661294,28768923,28813135,28984795,29257649,29481123,29937854,30033844,30467873,30553776,30594593,31125895,31886093,32011373,32221975,32261549,32635853,32850235,33288113,33526622,33535020,33566573,34132483,34213793,34372998,34428749,34520753,34574222,34575762,34582049,34651096,34781754,34952728,35096575,35618222,35706895,35770688,35892173,36034814,36315533,36318295,36459928,36616973,37351074,37755149,37806440,37963553,38201249,38537259,38645549,38666370,38691331,38728622,38734193,38852273,38940749,38982483,38989279,39029153,39124659,39168856,39302404,39321819,39420282,39616673,39880013,40171853,40242024,40259249,40346573,40491953,40753133,41017419,41244128,41272216,41406850,42077933,42098395,42115890,42172696,42214574,42532245,42762413,42815895,42825422,42848274,43023211,43231934,43581954,43752353,44064963,44245694,44257649,44308627,44341613,44620973,44923616,44955149,45010733,45272277,45367728,45426593,45592433,45670288,45764823,45785549,46278916,46317895,46399644,46431243,46576975,46666456,46690673,46745249,46852663,47072033,47145796,47179299,47424749,47444283,47560049,47641133,47789035,47943195,48314033,48760690,49260494,49486193,49688220,49750433,50040173,50170804,50250603,50450654,50518074,50538353,50539068,50633625,51009850,51038694,51139408,51379074,51396749,51603533,51784049,52220813,52246433,52297649,52499763,52733779,52933528,52935149,53000768,53011313,53138093,53391053,53994893,54009200,54039364,54185294,54195149,54270113,54519473,54868891,55238093,55273330,55484333,55494867,55558049,55581474,55680749,55698970,55831195,55852193,55892370,55925549,56130014,56178484,56339873,56364173,56422707,56717755,56944973,57032116,57089453,57346842,57425453,57449393,57531834,58163873,58310404,58512828,58533146,58805695,58875928,58988333,59198753,59213739,59501549,59550219,59571233,59618528,59625864,59687213,59848495,60061336,60278125,60378893,60470573,60760350,60928814,61211820,61267313,61282996,61335149,61461730,61560749,61830413,61837528,62076593,62676749,62963633,62975284,63227249,63369163,63397636,63764894,63816173,63924593,64054433,64140833,64377773,64528049,64540135,64662964,64811040,64963995,65084164,65167649,65231213,65292608,65519643,65526893,65862893,66113549,66235419,66267928,66280013,66327996,66487373,66590753,66646034,66660135,66838049,66838764,66866187,66997434,67070844,67079097,67145549,67288433,67349549,67512173,67569003,67593293,67654049,67741528,68061306,68257649,68270050,68455651,68604014,68893553,68913293,69131776,69188813,69294928,69567219,69662131,70355095,70409249,70566834,70657133,70866235,71046451,71104144,71261549,71317793,71448749,71504753,71672333,71715422,71765153,71818194,72333750,72386119,72555149,72912420,73032244,73133453,73165214,73454184,73632749,73668173,73685873,73754076,73773895,73862836,73886654,74108273,74281963,74300333,74551419,74681549,74692276,74716013,74973473,74974855,75075953,75195149,75246113,75333970,75398573,75449249,75482993,75680174,75835373,76035149,76209219,76447649,76496813,76725293,76814295,76928763,76984493,77156000,77448162,77607713,77734049,77773248,77891249,77956794,77999575,78304216,78311693,78384130,78388913,78588749,78772013,78817649,78961900,79006359,79120049,79165133,79224014,79233604,79289122,79644724,79758850,79788749,79970259,79992162,80225549,80412593,80625422,80824973,80909453,80965613,81049613,81320163,81382733,81451553,81496622,81792653,81833249,81844094,81904495,81924060,81935248,82061933,82105396,82364222,82394033,82472993,82630049,82635957,82785953,83119793,83234093,83506555,83562135,83610413,83618780,83734253,83779171,84281633,84353393,84426114,84519713,84531533,84685562,84731249,84870833,85039482,85112333,85226093,85248749,85327793,85375147,85417649,85451213,85457774,85497850,86021549,86043053,86150093,86266913,86462296,86516139,86524255,86635923,86734733,86800500,86882684,86977613,87156254,87255149,87284513,87385664,87393691,87430253,87494222,87494904,87735149,87806644,87856673,88092243,88213133,88240049,88391213,88522673,88528674,88548749,88635149,88672574,88763249,88956173,89132944,89353073,89356323,89494049,89509934,89532749,89872049,89894093,89969826,90053549,90089249,90232756,90388013,90400764,90488753,90684833,90812056,90836513,90886049,91195553,91224173,91258253,91380749,91445933,91619249,91734893,91754573,91789563,91793549,91827233,91841549,92016653,92099873,92177154,92188493,92196749,92237549,92258776,92269613,92355149,92366513,92429549,92493773,92585249,92587200,92624033,92664749,92718893,92787053,92827313,92840333,92842913,92878193,92880653,92909549,92937293,92950733,92983073,92987249,92987534,93001613,93023393,93031073,93051533,93067553,93113249,93157793,93186893,93198113,93206573,93220013,93227995,93232049,93236333,93242273,93245549,93451444,93599490,93915871,94060956,94132622,94388359,94621214,94754280,95053876,95208620,95710620,96589336,96858295,96884174,97270083,97375418,98164622,98285394,98308872,98431767,98681595,98759680,99039796,99517330,99712735,99839456,...,508906367889867401478316045309775450308433962003613237442726306731816438023610467404153262238227409387079657080663830578950468289343776156673579900019604548617726086725692483129084576019282033025542220845451662687497557382429722784013394404235335563665131895302494597419033614831002622370561439658839430522804237041431282773085519962909545699717953132432529659501036838648610131306079524419519639139734242165194394057009755237116422805095213288820286353489715766952133587995854609720106623004100916355163649052582078200340925070501506787617487173344116215720344967414421781019230628363148658427087917733282737142392472639768392112330415231568193809844727188998644732182012279598169076424005728282285279916752292860432989753142513140953200603691462840495006538776025907651909420128869098058637018913458918471873065012473683804333476290154238279064896112379422360380846430317775245447846898528422820041611508216134749159170301795065283529817210856877155817774109675852808254507551766926635796480812153175146320741977946672230441074221244440508611631533979487383475658176458114295376530171109401959117488870307627879383270688996108443655467061012838949803854454552733612387986777475548900756742325584112600926718132420487835916630418129439435760225699580887897853438479750753692229964655448665309773253230809847062526880780664879431078510529777442495497859156221458527716242670669074201879846337282890837031841803256369929688960255574524930922796127527279154900514957676294178481977014695076410316396066805852788519601963376541967609097679321494306282622910223393547423630263288350835667342205439739744954399629784594069448258634667043469811551545707556116109366433665186611875895041942049249061249871072176679782598815719169092241568439618807003496351297221518247344773172733605273404555851343034988058822992560022972769291722632660549830284834542783147995661877760534957613242768239164134099339556514870447218614191724099184352088418211508188122497055437678818838252403575270655248258429157705130025607705590012179950677648561763644531325044785241238497068703044947917768898678017194128303908364442797149268626831306388011250139275535630479881697215831496191491709482260751742421368025611001983824215965276866948801667712008726566379506134367668460232829708650021035364562899438589425967681456921019244481141105027283357351458129170381907205737616992409912305913953799018276187461877487960064524317497986117161527176548445218540023100828878280233085027866165859278889831786617014172218983289087227296081482470990194794309372667981422256178679780954505450030425029163073179950323741339703247901506558687282621835691050286821176435955102199033078207203654277216902705234282545188290923535645471635683047904303546890232257122175150873143473996406429444585421635394082270534648658983539687272658643590126853744025382293377754369185902063824934479062011559463642504590085814106031506499739107187641965946339489899751069055052105236527154774527276829889847241622853518697504994108273988703066054657636701476247974017062664582128827046755434935722570723371624454086802072070304089}
19315  20518780660399703677866674822233792063968348575248113962760078037466546: {154472,173781,636933,945749,1330941,1351070,1621284,1930100,2316120,2470528,2565437,2605635,2779344,3062181,3126762,3259841,3565505,3664910,4142405,4278606,4397892,4590782,4970886,5516654,5529629,5820933,5870945,6558260,6572093,7021505,7045134,7265921,7538133,7596245,7841669,7869912,7899470,7949837,8422301,8425806,8565861,8853651,9115494,9318305,9335876,9479364,9560789,9891605,9933141,10153709,10616117,10765781,10956333,11181966,11356910,11869926,11973437,12181205,12296174,12672422,13044269,13262561,13336221,13539077,13579349,13628292,13658270,13675341,14042392,14177669,14617446,15071486,15442493,15797691,16043133,16389924,16728964,17051909,17104910,17189357,17727933,17750213,18103460,18219014,18634670,18806775,18997262,19037261,19399070,19948769,19960612,20060560,20077581,20248949,20384486,20493869,20525892,20530094,20654177,20737301,21282005,21564677,21724152,21847745,21904109,22229441,22278795,22361604,22375829,22444334,22568130,22749933,22978145,23278884,23764048,23898520,24072672,24227822,24359870,24439671,25076901,25538406,25811117,26217294,26522375,26734554,26885835,26981093,27081756,27463334,27573774,27830212,28028309,28515160,28678224,28712181,28927070,29182529,29231844,30038822,30298901,30319709,30583637,30759902,31058404,31299352,31410245,31596533,31667061,31826850,31902437,31965470,31969505,31994301,32079555,32263002,32268701,32479037,33080635,33301101,33442709,33627261,33904253,33948640,34218192,34272749,34319813,34627541,34712484,34743236,34910021,35093894,35211771,35904333,36088612,36113189,36303614,36901109,37342517,37542305,37619054,37692294,38192220,38358564,38363406,38495466,38589422,39308164,39696762,39961502,40105101,40555541,40673921,40738368,40833149,41185901,41918775,41955077,42287813,42991941,43313870,43474493,43690910,43800101,44003237,44454254,44713360,44746982,44906781,44991713,45050766,45574910,45830664,46101016,46316837,46375672,46805693,46899806,47258050,47624069,48051713,48091781,48743381,48961070,49128005,49801432,50289933,50302530,50390453,50456789,50593637,51087329,51383012,51516437,51555160,51559497,51590270,51861333,51863643,51976644,52166212,52172631,52192934,52429092,52440062,52553669,52560376,52715870,52761629,53427333,53656032,54052221,54107837,54219086,54689892,55066469,55310021,56026611,56154520,56709660,56780321,57087860,57091637,57131032,57299621,57760001,57848645,57984437,57999555,58092933,58109272,58120382,58333070,58600454,58753284,58932245,58953606,59116094,59130423,59273837,60061973,60363036,60490304,60591494,60633062,61019764,61244933,61866192,61908324,62110275,62163413,62216126,62713505,62769254,62905732,63173835,63259044,63321861,63924260,64238133,64272411,64654622,64847901,65372931,66166910,66250960,66368541,66476693,67000804,67046213,67357432,67385424,67511500,67549205,68051592,68258606,68465069,68505432,68516189,68632454,68840609,69080693,69418374,69599466,69812774,69999684,70223105,70718694,71290145,71693342,72405281,72888005,73141035,73332326,73413341,73594910,73701086,73890741,73993156,74108632,74235617,74523160,74532330,75076670,75230276,75256206,75421109,75654509,75675981,75777111,75808602,76139822,76462456,76514775,76558041,76603745,76709112,77068611,77296910,77991326,78017104,78719105,78951652,79119134,79247045,79400292,79460549,79501152,80319221,80726429,80812301,80828705,81013800,81059046,81277941,81339374,81355205,81615760,82244597,82363214,82621181,82834910,82909995,83081573,83372211,83525774,83548455,83838555,84195021,84267726,84515669,84566822,84676910,84909542,85412993,85548174,86020263,86103509,86297751,86414720,86618660,87359524,87465606,87769242,87799719,88313892,88437328,88880180,88989134,89118352,89154916,89329912,89427792,89438796,89816981,90050429,90092004,90535982,90748408,91140525,91290305,91393221,91817730,91924494,92102822,92192595,92328545,92600093,92756292,92952494,93365345,93601574,94089112,94197701,94418726,94462926,95096454,95227622,95393414,95643041,95647341,95719166,95757592,96089774,96093422,96173534,96445000,96618413,96994446,97025729,97216560,97476614,97626246,97747694,97804901,97880270,97938912,98338768,98431877,98702375,99042005,99401892,99491994,99555905,99731342,99795437,99969051,...,678541823853156535304421393746367267077911949338150983256968408975755250698147289872204349650969879182772876107551774105267291052458368208898106533359472731490301448967589977505446101359042710700722961127268883583330076509906297045351192538980447418220175860403326129892044819774670163160748586211785907363738982721908377030780693283879394266290604176576706212668049118198146841741439365892692852186312322886925858742679673649488563740126951051760381804652954355936178117327806146293475497338801221806884865403442770933787900094002009050156649564458821620960459956552562374692307504484198211236117223644376982856523296853024522816440553642090925079792969585331526309576016372797558768565340971043047039889003057147243986337523350854604267471588617120660008718368034543535879226838492130744849358551278557962497420016631578405777968386872317705419861483172563147174461907090366993930462531371230426722148677621512998878893735726753711373089614475836207757032146234470411006010069022568847728641082870900195094322637262229640588098961659254011482175378639316511300877568610819060502040228145869278823318493743503839177694251994811258207289414683785266405139272736978149850649036634065201008989767445483467902290843227317114555507224172585914346967599441183863804584639667671589639952873931553746364337641079796083369174374219839241438014039703256660663812208295278036954990227558765602506461783043854449375789071008493239585280340766033241230394836703038873200686610235058904642636019593435213755194755741137051359469284502055956812130239095325741710163880297858063231507017717801114223122940586319659939199506379458759264344846222724626415402060943408154812488578220248815834526722589398998748333161429568906376798420958892122988757919491742671328468396295357663126364230311473697872741135124046650745097323413363963692388963510214066440379779390377530660882503680713276817657024318885512132452742019827262958152255632132245802784557615344250829996073916905091784336538100360873664344572210273506700810274120016239934236864749018192708433393046988317996091604059930557025198237356258837738544485923729532358169108408517348333519034047507306508929621108661588655612643014335656561824034148002645098954620369155931735556949344968755172674845823557946977106278200028047152750532584785901290241942561358992641521473369711143135277505560509209607650155989879883074551938398691034916615836650613419365756663981489548702902064593624720030801105171040310780037154887812371853109048822685562958644385449636394775309961320259725745830223975229674904906374606007266707233372217430906600431655119604330535342078249710162447588067049094901914606802932044104276271539036289203606979043393584387898047527295514244063872404729186976342829566867830857965328541905926113895513858776360712864878644719583030211524786835804992033843057837005825581202751766579305416015412618190006120114418808042008666318809583522621261785986533001425406736140315369539699369702439853129655497138024930006658811031984937421406210182268634997298689416886109505102729007246580963427631162165938782402762760405452}
19316  20599803331715284178759650059304551865965391855622330102486585150267139: {135163,193090,231708,501826,828739,849244,1289683,1519723,1580386,1774588,1811098,1864243,1978939,2026605,2093563,2161712,2412625,2431926,2895150,3088160,3192346,3474180,3705792,3881026,3957466,4082908,4110298,4169016,4370923,4690143,5025946,5497365,5704808,5787226,5835763,5863856,6015298,6395923,6417909,6596838,6622786,6627848,6886173,7380706,7456329,7510843,7761244,8197825,8274981,8618563,8665498,8891746,9193186,9393512,9828739,9837390,10020826,10050844,10493216,10546498,10567701,10771546,11234408,11421148,11669845,11804868,11849205,11894626,12153992,12287093,12638709,12639152,13244188,13621339,13673241,13907098,14003814,14219046,14608444,14909288,15020098,15168226,15219739,15826568,15854563,16171003,16276339,16772949,16906843,17035365,17221123,17552990,17781628,17804889,18171056,18233788,18444261,18471763,19008633,19402939,19489928,19582306,19814923,19917739,20312386,20328283,20442438,20487405,20793542,20895298,20911205,21063588,21390844,21404506,21853232,21926169,22493026,22607229,22629325,22927426,23470939,23637244,23871403,24010906,24371266,24584886,24950765,25075700,25093446,25234498,25657365,25954939,26544403,26770108,27025498,27155190,27328521,27367856,27386933,27812683,27952005,28006723,28237666,28490563,28495893,28664386,28965536,29098605,29260963,29516098,29705060,29815472,29835739,29873150,29940918,30011866,30090840,30333244,30365506,30576729,30693043,30788838,30795141,31038512,31166803,31494466,31635298,31846426,32096896,32478946,32577283,32586228,32670739,32689498,33435868,33542406,33601339,33666501,33852195,34051208,34616683,34787098,34787765,34892083,34918326,34956392,35643950,35646072,35847780,36109008,36341733,36349939,36539805,36765032,37077826,37341523,38235403,38237632,38282908,38307609,38679643,38732866,38801626,38823005,38945323,38975792,39124190,39325941,39762586,39968098,40101831,40173466,40338389,40438603,40578713,40622634,40856986,41134123,41195001,41360661,41652739,41745318,42222748,42435800,42490906,42659068,42772740,42830146,42852763,43017336,43033498,43236706,43390605,43429045,43576253,43701283,43847766,44048098,44290963,44401468,44626339,44722498,44836348,45043939,45058233,45110765,45542683,45624256,45990329,46139853,46203643,46283312,46587606,46869826,46949028,47737498,47740275,47872444,47948205,48319939,48394503,49135205,49598083,49835683,49989653,50256392,50845613,50917786,50922960,51144752,51151208,51246946,51327288,51838426,51944923,52068726,52114854,52252939,52329763,52364741,52640841,52929016,53017498,53397739,53473468,54132918,54191386,54317824,54451546,54455421,54824563,55165666,55343683,55371329,55619098,55712323,55891700,56371339,56428581,56538441,56717026,56910298,57024523,57288330,57322588,57456739,57537846,57545109,57626270,57743199,57743443,57884133,57886363,57969590,58171339,58515298,58937753,58962246,59229739,59545143,59857003,59875708,59942253,59995603,60067688,60615739,60889483,60935746,61107552,61189186,61297939,61568803,61905763,62251790,62374483,62707123,63235603,63772186,63954739,64022746,64228765,64443950,64523098,64845053,64970805,65207765,65271706,65536365,65700470,66122443,66576226,66681381,66867643,66904649,67053244,67070040,67120473,67133146,67175083,67576149,67723939,68264966,68326939,68362365,68427586,68745996,68857498,68922739,69041506,69148444,69151524,69164098,69276763,69302192,69511339,69563508,69802939,69905456,70193150,70349709,70723963,70887075,71236444,71290243,71359825,71413790,71514739,71541376,71784346,71793739,72069628,72631066,72636590,72674443,72919856,73107883,73233946,73441605,73483363,73696339,74702148,74890829,75256939,75453795,75460123,75510298,75510739,75612880,75927106,76211803,76274705,76402498,76458763,76509257,76995739,77074518,77188843,77291098,77332740,77382662,77385405,77457244,77468386,77476339,77524003,77704546,77881498,77964966,77978558,77996683,78058306,78163673,78230323,78249318,78289401,78337712,78604808,78632165,78643638,78660093,78692203,78840564,79073805,79233346,79404857,79760026,79905325,79947163,80343706,80381683,80484048,80518498,80693146,80851339,80902133,80983906,81328629,81436483,81506266,82034838,82247923,82287739,82327973,82488256,82544432,82642843,82813700,82837603,83635939,83751005,83784403,83787893,84041443,84155866,84196790,84231780,84345392,84389375,84402523,84429148,84544939,84721339,84895939,85064490,85273723,85524826,85576339,85631790,85650844,85696548,85708963,86046422,86354803,86417803,86463868,87031963,87163908,87180573,87269563,87328243,87444739,87499605,87504706,87759163,87900681,88129926,88146739,88430409,88491388,88515298,88520203,88572403,88617254,88674141,88683226,88778323,88929739,89200603,89241946,89439283,89532739,89783803,89847232,89910298,90021466,90090739,90112123,90301339,90356189,90403939,90544554,90584083,90720163,90735456,90853186,90887241,90949593,91053883,91184866,91246339,91340576,91347643,91510723,91529646,91571098,91636003,91997803,92077939,92218123,92314603,92338003,92395243,92491445,92545939,92557832,92606203,92635790,92644939,92682523,92799288,92860939,92862486,92898739,92906083,93025963,93131803,93153950,93177739,93181483,93226339,93264643,93275443,93324189,93332912,93381346,93490498,93705326,94037845,94144066,94153881,94291592,94358598,94849498,94888566,95120098,95282266,95578070,95886390,96628066,96981933,97521380,98497133,98520988,98689565,98972386,99212729,99250365,99376440,99500866,...,1017812735779734802956632090619550900616867924007226474885452613463632876047220934808306524476454818774159314161327661157900936578687552313347159800039209097235452173451384966258169152038564066051084441690903325374995114764859445568026788808470671127330263790604989194838067229662005244741122879317678861045608474082862565546171039925819091399435906264865059319002073677297220262612159048839039278279468484330388788114019510474232845610190426577640572706979431533904267175991709219440213246008201832710327298105164156400681850141003013575234974346688232431440689934828843562038461256726297316854175835466565474284784945279536784224660830463136387619689454377997289464364024559196338152848011456564570559833504585720865979506285026281906401207382925680990013077552051815303818840257738196117274037826917836943746130024947367608666952580308476558129792224758844720761692860635550490895693797056845640083223016432269498318340603590130567059634421713754311635548219351705616509015103533853271592961624306350292641483955893344460882148442488881017223263067958974766951316352916228590753060342218803918234977740615255758766541377992216887310934122025677899607708909105467224775973554951097801513484651168225201853436264840975671833260836258878871520451399161775795706876959501507384459929310897330619546506461619694125053761561329758862157021059554884990995718312442917055432485341338148403759692674565781674063683606512739859377920511149049861845592255054558309801029915352588356963954029390152820632792133611705577039203926753083935218195358642988612565245820446787094847260526576701671334684410879479489908799259569188138896517269334086939623103091415112232218732867330373223751790083884098498122499742144353359565197631438338184483136879237614006992702594443036494689546345467210546809111702686069976117645985120045945538583445265321099660569669085566295991323755521069915226485536478328268198679113029740894437228383448198368704176836423016376244994110875357637676504807150541310496516858315410260051215411180024359901355297123527289062650089570482476994137406089895835537797356034388256607816728885594298537253662612776022500278551071260959763394431662992382983418964521503484842736051222003967648431930553733897603335424017453132759012268735336920465659417300042070729125798877178851935362913842038488962282210054566714702916258340763814411475233984819824611827907598036552374923754975920129048634995972234323054353096890437080046201657756560466170055732331718557779663573234028344437966578174454592162964941980389588618745335962844512357359561909010900060850058326146359900647482679406495803013117374565243671382100573642352871910204398066156414407308554433805410468565090376581847071290943271366095808607093780464514244350301746286947992812858889170843270788164541069297317967079374545317287180253707488050764586755508738371804127649868958124023118927285009180171628212063012999478214375283931892678979799502138110104210473054309549054553659779694483245707037395009988216547977406132109315273402952495948034125329164257654093510869871445141446743248908173604144140608178}
19317  20681143651631476930021740145948468488742571566812405912406309767761967: {289635,308944,347562,752739,1061555,1273866,1891498,2218235,2370579,2661882,2702140,2716647,3242568,3607043,3647889,3860200,4342725,4632240,4788519,4941056,4991707,5103635,5130874,5211270,5558688,5799367,5821539,5936199,6124362,6165447,6253524,6519682,7131010,7329820,7538919,7767019,8219323,8284810,8557212,8680839,8795784,9022947,9181564,9267427,9701555,9830107,9895257,9934179,9941772,9956903,10634743,11033308,11059258,11071059,11348263,11641866,11741890,12563555,12998247,13045627,13116520,13144186,13337619,13423523,13789779,13848247,14043010,14090268,14276435,14531842,14756085,15031239,15076266,15192490,15683338,15739824,15798940,15819747,15899674,16157319,16196819,16555235,16755427,16844602,16851612,17053687,17131722,17707302,17841939,18230988,18250219,18260555,18636610,18671752,18958728,19121578,19783210,19866282,20307418,20860647,21005721,21232234,21328569,21531562,21912666,22078603,22227035,22295683,22363932,22530147,22713820,22752339,22792235,23739852,23946874,24220027,24362410,24481063,24592348,25344844,26088538,26329485,26525122,26672442,26738555,27078154,27158698,27256584,27316540,27350682,28084784,28355338,28847719,29066243,29234892,29373459,29546555,29794807,30142972,30468579,30586843,30606067,30663657,30884986,31190313,31342947,31344625,31398323,31595382,32086266,32106759,32169403,32779848,33457928,33462635,33739539,34103818,34209820,34378714,34391139,35158343,35455866,35500426,35558119,36016359,36206920,36438028,36556899,36673799,36877329,37131325,37269340,37613550,37640169,37851747,37916555,37994524,38074522,38798140,39897538,39917863,39921224,40121120,40155162,40497898,40538247,40559779,40732785,40768972,40987738,41051784,41060188,41308354,41474602,41794835,42356499,42564010,42996579,43129354,43377283,43448304,43479019,43695490,43808218,43974343,44274147,44458882,44557590,44630627,44723208,44751658,44757307,44809725,44888668,44911377,45017799,45136260,45499866,45548259,45956290,46183257,46312889,46557768,47037943,47241699,47452947,47528096,47629027,47640263,47769639,47797040,47853635,48145344,48455644,48718419,48719740,48879342,48884099,49034247,49851419,50153802,50313609,50395699,51076812,51622234,51878107,52180647,52377489,52434588,52559227,52778435,53044750,53272103,53323835,53465925,53469108,53771670,53962186,53963699,54163512,54926668,55147548,55315819,55335367,55501835,55616739,55660424,56045435,56056618,56330483,57030320,57097603,57356448,57424362,57738119,57854140,58099299,58185203,58202439,58365058,58463688,58686285,59518643,59643879,59840555,59952147,60077644,60260199,60363707,60597802,60639418,60933951,61167274,61251319,61278899,61285479,61519804,62116808,62598704,62617977,62820490,63193066,63334122,63653700,63736359,63804874,63930940,63939010,63988602,64159110,64245219,64526004,64537402,64550247,64855059,64958074,65771649,66072147,66161270,66602202,66841835,66885418,67083747,67254522,67808506,67897280,68436384,68545498,68639626,68779207,68847787,69255082,69424968,69486472,69820042,69864625,69881409,70187788,70304739,70423542,71606247,71653235,71808666,72177224,72226378,72366503,72607228,72777443,73602707,73802218,74685034,74821703,74844635,75084610,75238108,75384588,76082459,76376679,76384440,76519783,76717128,76726812,76870419,76990932,77178844,77757639,78103089,78172281,78616328,79393524,79526247,79923004,80210202,80234123,80945843,80988103,81111082,81199377,81287079,81347842,81476736,81640819,81666298,81677319,82371802,82505143,82699619,82748499,82969219,83428647,83816555,83837550,83910154,84377219,84575626,85075539,85114427,85365447,85421899,85932495,85983882,86112487,86306769,86435555,86439405,86627740,86948986,86954385,87028763,87381820,87600202,87772947,87798907,88006474,88443369,88782179,88908508,89045555,89426720,89493964,89813562,89983426,90087035,90101532,91149820,91403619,91661328,91783779,92202032,92603003,92633674,92751344,93377685,93611386,93799612,94516100,94568887,95248138,95658279,96034119,96103426,96183562,96370727,96665925,96775943,96784647,96821555,97486762,97907559,97922140,98256010,98312347,98442163,98550705,99602864,99806203,99864339,...,1526719103669602204434948135929326350925301886010839712328178920195449314070831402212459786714682228161238971241991491736851404868031328470020739700058813645853178260177077449387253728057846099076626662536354988062492672147289168352040183212706006690995395685907483792257100844493007867111684318976518291568412711124293848319256559888728637099153859397297588978503110515945830393918238573258558917419202726495583182171029265711349268415285639866460859060469147300856400763987563829160319869012302749065490947157746234601022775211504520362852461520032348647161034902243265343057691885089445975281263753199848211427177417919305176336991245694704581429534181566995934196546036838794507229272017184846855839750256878581298969259427539422859601811074388521485019616328077722955728260386607294175911056740376755415619195037421051413000428870462714837194688337138267081142539290953325736343540695585268460124834524648404247477510905385195850589451632570631467453322329027558424763522655300779907389442436459525438962225933840016691323222663733321525834894601938462150426974529374342886129590513328205877352466610922883638149812066988325330966401183038516849411563363658200837163960332426646702270226976752337802780154397261463507749891254388318307280677098742663693560315439252261076689893966345995929319759692429541187580642341994638293235531589332327486493577468664375583148728012007222605639539011848672511095525409769109789066880766723574792768388382581837464701544873028882535445931044085229230949188200417558365558805890129625902827293037964482918847868730670180642270890789865052507002026616319219234863198889353782208344775904001130409434654637122668348328099300995559835627685125826147747183749613216530039347796447157507276724705318856421010489053891664554742034319518200815820213667554029104964176468977680068918307875167897981649490854503628349443986985633281604872839728304717492402298018669544611341655842575172297553056265254634524564367491166313036456514757210725811965744775287473115390076823116770036539852032945685290933593975134355723715491206109134843753306696034051582384911725093328391447805880493919164033750417826606891439645091647494488574475128446782255227264104076833005951472647895830600846405003136026179699138518403103005380698489125950063106093688698315768277903044370763057733443423315081850072054374387511145721617212850977229736917741861397054828562385632463880193572952493958351484581529645335655620069302486634840699255083598497577836669495359851042516656949867261681888244447412970584382928118003944266768536039342863516350091275087489219539850971224019109743704519676061847865507073150860463529307865306597099234621610962831650708115702847635564872770606936414907049143712910640670696771366525452619430421989219288333756264906182246811603945976950619061817975930770380561232076146880133263107557706191474803437186034678390927513770257442318094519499217321562925897839018469699253207165156315709581464323581830489669541724868560556092514982324821966109198163972910104428743922051187993746386481140266304807167712170114873362260406216210912267}
19318  20762802856578542887871772024500441254660450021244952657267786114162367: {270326,328117,386180,463416,521343,559381,1003652,1136281,1657478,1698488,1910799,2055577,2579366,2627797,2837247,3039446,3160772,3377675,3425881,3549176,3622196,3728486,3766837,3957878,3992823,4053210,4187126,4323424,4559881,4825250,4863852,5349397,5790300,6023317,6176320,6384692,6806281,6948360,7411584,7585717,7696311,7762052,7816905,7914932,7918681,8165816,8220596,8338032,8472181,8741846,9023881,9162275,9186543,9380286,9779523,9793237,10051892,10668181,10696515,10994730,10995097,11212681,11409616,11476955,11538517,11574452,11671526,11727712,12030596,12080137,12427215,12791846,12835818,13050517,13193676,13245572,13255696,13772346,13791635,14761237,14761412,14912658,15021686,15522488,15821077,16337783,16395650,16549962,16588887,17237126,17330996,17397337,17462799,17612835,17783492,17919157,18386372,18787024,18853897,19164181,19370677,19657478,19674780,19716279,19748675,20041652,20101688,20986432,21064515,21092996,21135402,21521497,21543092,21797763,22231381,22468816,22614399,22736281,22788735,22842296,23038357,23339690,23525007,23609736,23698410,23789252,23849511,24307984,24439477,24574186,25233781,25266903,25277418,25278304,25530457,25697583,26416597,26488376,26560953,26906377,27242678,27346482,27814196,27880537,27954915,28007628,28392275,28438092,28682367,28943797,29216888,29275687,29674815,29799423,29818576,30040196,30093781,30284437,30336452,30439478,30461127,30740435,31653136,31681055,31709126,31848351,32268937,32297343,32342006,32552678,32868999,33109717,33545898,33574297,33813686,34070730,34145675,34442246,34590037,34931071,35048857,35105980,35563256,35609778,35920311,35961097,36323977,36342112,36467576,36543615,36595381,36888522,36943526,37678715,38017266,38805878,38979856,39097237,39132807,39164612,39629846,39713881,39787683,39835478,40008663,40326997,40617231,40624772,40656566,40738047,40849717,40884876,40974810,41026023,41283337,41587084,41790596,41822410,42127176,42487897,42533007,42762275,42781688,42809012,43706464,43852338,44268277,44687497,44854681,44986052,45021577,45214458,45258650,45547535,45854852,46099381,46327479,46586675,46756597,46941878,47274488,47393073,47493155,47571637,47742806,48021812,48129399,48379477,48497675,48540181,48702871,48742532,48940681,49169772,49901530,50131381,50151400,50186892,50468996,50961215,51155727,51314730,51325235,51461257,51568071,51848437,51909878,52233817,52310677,53088806,53183799,53250639,53454937,53540216,53606281,53636759,54050996,54310380,54352207,54657042,54735712,54773866,55625366,55694857,55904010,56013446,56061877,56110835,56354197,56420325,56475332,56981126,56991786,57111783,57328772,57440137,57511957,57931072,58197210,58521926,58580617,59032196,59214037,59410120,59563417,59630944,59671478,59746300,59846307,59881836,60023732,60181680,60232743,60325717,60569555,60666488,60731012,60746847,60800663,60899675,61147381,61153458,61268867,61386086,61481607,61486681,61577676,61590282,61824181,61885603,61962531,62077024,62211903,62293657,62333606,62988932,63024277,63155071,63270596,63615577,63680917,63692852,63846015,63941557,64193792,64694031,64957892,65100181,65154566,65172456,65341478,65378996,65543235,65712327,65859637,66173017,66688323,66836385,66871736,67084812,67127487,67163737,67202678,67333002,67607903,67704390,68102416,68196181,68249799,68495881,68615257,68658335,68789287,68934435,69233366,69574196,69575530,69676681,69784166,69836652,69912784,70371337,70942297,71287900,71292144,71695560,72218016,72317675,72683466,72699878,73079610,73319013,73530064,73689097,73742197,73953877,74155652,74373781,74683046,74737417,75046297,75097055,75230703,75301717,75504757,75807157,76156681,76470806,76475264,76565816,76615218,76899755,77135881,77359286,77376181,77433351,77465732,77603252,77646010,77890646,77945557,77951584,78248380,78651882,78780181,78871477,78917017,79143637,79525172,79567125,79768597,79812697,79913675,79936196,80203662,80346932,80551381,80636917,80657505,80676778,80849497,80877206,80943279,81157426,81245268,81310837,81713972,81804181,82087177,82127317,82268246,82390002,82406281,82721322,82867367,83305478,83490636,84084927,84296281,84445496,84871600,84981812,85001881,85070857,85276057,85318136,85545480,85660292,85705526,85777717,86034672,86066996,86070937,86136543,86222543,86473412,86639881,86781210,86854837,86858090,87152506,87303577,87402566,87478537,87547587,87695532,87734735,87764377,87876697,87960181,88096196,88421017,88578697,88581926,88708117,88759381,88802936,88810357,89252678,89444996,89672696,89920271,89947381,90087878,90116466,90221530,90226777,90268681,90372181,90420031,90671881,90759035,90896703,90959127,91010137,91085366,91248512,91257097,91290871,91424857,91632181,91750911,91783381,91980658,92037397,92193781,92231257,92279706,92407286,92566624,92590681,92610697,92659477,92899381,92936281,93023797,93109657,93119881,93134677,93153397,93175177,93175212,93216757,93244297,93257077,93259417,93263881,93284617,93295381,93739652,93898056,94047635,94230735,94658771,94789599,95001183,95474996,95480550,95707311,95744888,95896410,95908515,95982903,96238665,96473555,96639878,96789006,96806103,97437111,98270410,99196166,99241905,99671366,99903303,99903755,99979306,...,2035625471559469605913264181239101801233735848014452949770905226927265752094441869616613048952909637548318628322655322315801873157375104626694319600078418194470904346902769932516338304077128132102168883381806650749990229529718891136053577616941342254660527581209978389676134459324010489482245758635357722091216948165725131092342079851638182798871812529730118638004147354594440525224318097678078556558936968660777576228039020948465691220380853155281145413958863067808534351983418438880426492016403665420654596210328312801363700282006027150469948693376464862881379869657687124076922513452594633708351670933130948569569890559073568449321660926272775239378908755994578928728049118392676305696022913129141119667009171441731959012570052563812802414765851361980026155104103630607637680515476392234548075653835673887492260049894735217333905160616953116259584449517689441523385721271100981791387594113691280166446032864538996636681207180261134119268843427508623271096438703411233018030207067706543185923248612700585282967911786688921764296884977762034446526135917949533902632705832457181506120684437607836469955481230511517533082755984433774621868244051355799215417818210934449551947109902195603026969302336450403706872529681951343666521672517757743040902798323551591413753919003014768919858621794661239093012923239388250107523122659517724314042119109769981991436624885834110864970682676296807519385349131563348127367213025479718755841022298099723691184510109116619602059830705176713927908058780305641265584267223411154078407853506167870436390717285977225130491640893574189694521053153403342669368821758958979817598519138376277793034538668173879246206182830224464437465734660746447503580167768196996244999484288706719130395262876676368966273758475228013985405188886072989379092690934421093618223405372139952235291970240091891077166890530642199321139338171132591982647511042139830452971072956656536397358226059481788874456766896396737408353672846032752489988221750715275353009614301082620993033716630820520102430822360048719802710594247054578125300179140964953988274812179791671075594712068776513215633457771188597074507325225552045000557102142521919526788863325984765966837929043006969685472102444007935296863861107467795206670848034906265518024537470673840931318834600084141458251597754357703870725827684076977924564420109133429405832516681527628822950467969639649223655815196073104749847509951840258097269991944468646108706193780874160092403315513120932340111464663437115559327146468056688875933156348909184325929883960779177237490671925689024714719123818021800121700116652292719801294965358812991606026234749130487342764201147284705743820408796132312828814617108867610820937130180753163694142581886542732191617214187560929028488700603492573895985625717778341686541576329082138594635934158749090634574360507414976101529173511017476743608255299737916248046237854570018360343256424126025998956428750567863785357959599004276220208420946108619098109107319559388966491414074790019976433095954812264218630546805904991896068250658328515308187021739742890282893486497816347208288281216356}
19319  20844782187765023481876624866024173408019740084795912742258719046679938: {19319,405489,482725,579270,617888,695124,1254565,1486177,1505478,2123110,2486217,2547732,3105529,3782996,3869049,3950965,4031401,4262869,4436470,4527745,4559169,4741158,5323764,5404280,5433294,5592729,5936817,6079815,6280689,6485136,7145089,7214086,7237875,7295778,7720400,7980865,8685450,8689417,9264480,9501589,9577038,9702565,9882112,9893665,9983414,10195417,10207270,10261748,10275745,10422540,11117376,11598734,11643078,11767249,11872398,12248724,12330894,12492601,12507048,12564865,12851089,13039364,13112769,13582177,14070429,14078329,14262020,14468065,14659640,15002761,15024097,15038245,15077838,15534038,16389409,16438646,16492095,16556965,16569620,17114424,17313841,17343349,17361678,17507289,17588977,17591568,18045894,18363128,18451765,18534854,18815401,19187769,19253727,19403110,19660214,19790514,19868358,19883544,19913806,19987009,20498137,20658519,20808169,21269486,21338977,21663745,22066616,22118516,22142118,22229365,22368987,22532529,22696526,22887061,22982965,23177329,23211817,23283732,23483780,24593475,24824943,25052065,25127110,25564777,25855689,25996494,26091254,26104609,26233040,26288372,26366245,26675238,26795857,26847046,26928865,27118009,27579558,27696494,28086020,28180536,28552870,29063684,29069269,29486217,29512170,29567269,29736565,30062478,30152532,30384980,31117849,31366676,31479648,31597880,31639494,31703103,31799348,31819777,31909129,32314638,32337397,32393638,32485801,32904241,33110470,33510854,33689204,33703224,34107374,34263444,34767745,35009535,35162017,35414604,35547615,35683878,36461976,36500438,36521110,36677617,36861279,37058137,37107109,37273220,37343504,37433977,37550245,37916127,37917456,37920565,38243156,39316729,39566420,39571921,39732564,40614836,40864017,41019723,41365177,41550769,41721294,42011442,42464468,42657138,43063124,43825332,43882475,44012401,44157206,44454070,44591366,44727864,45060294,45282169,45427640,45504678,45584470,45659217,46231249,46490761,46847689,47479704,47563689,47645257,47874529,47893748,48060001,48440054,48513009,48724820,48829017,48955765,48962126,49184696,49856617,49881289,50132401,50318847,50467297,50689688,50720529,50780965,51106095,51663369,51983855,52177076,52238245,52658970,52772617,53034169,53050244,53083177,53277649,53344884,53414667,53477110,53511265,53857177,53969317,54156308,54317396,54513168,54633080,54701364,55077937,55332783,55415289,55911577,56169568,56232565,56302129,56710676,56749297,57025899,57318565,57695438,57772117,57987457,58132486,58208817,58469784,58512769,58746918,58835317,59093110,59444769,59524849,59589614,59753217,60027265,60060289,60285944,60631141,60928165,60937158,60984849,61173686,61212134,61244929,61327314,61462215,61769972,62380626,62685894,62689250,62733615,62796646,63086245,63190764,63623377,64166377,64172532,64213518,64338806,65030521,65559696,65778507,66572389,66915856,66925270,66995089,67479078,67563745,67821687,67887975,68207636,68419640,68757428,68782278,69110929,70316686,70412817,70577329,70594165,70911732,71000852,71116238,71614209,71660965,71679397,72032718,72328489,72413840,72420517,72783601,72876056,73113798,73347598,73754658,73790245,73889809,74251189,74262650,74538680,74653369,74682875,74852295,75029665,75227100,75280338,75532309,75703494,75833110,75913765,75989048,76149044,76282837,76972095,77596280,77702569,77796577,77864817,78463609,78736165,79088245,79616065,79633209,79795076,79835726,79842448,80242240,80242489,80310324,80954401,80995796,81076494,81119558,81197365,81290617,81465570,81537944,81723745,81975476,81985563,82103568,82120376,82160799,82261849,82584337,82616708,82708261,82949204,83438049,83589670,83776777,83809681,83856015,84020169,84386017,84712998,85026601,85128020,85471689,85487679,85524049,85993158,86258708,86754566,86896608,86958038,86967745,87295815,87390980,87616436,87675817,87782889,87948686,88403041,88425649,88548294,88917764,89109875,89115180,89261254,89402641,89446416,89503316,89507217,89514614,89619450,89777336,89822754,90035598,90272520,90999732,91096518,91118401,91244017,91730187,91912580,92079129,92366514,92385423,92625778,92694565,93113017,93115536,93144601,93500409,93578569,94075886,94483398,94683829,94905894,95056192,95127889,95258054,95280526,95539278,95594080,95663269,95707270,96290688,96832165,96911288,97004065,97267441,97436838,97439480,97731849,97758684,97768198,97810475,97825417,98012217,98068494,98172049,98989417,99406465,99559249,99702838,99920245,...,3053438207339204408869896271858652701850603772021679424656357840390898628141662804424919573429364456322477942483982983473702809736062656940041479400117627291706356520354154898774507456115692198153253325072709976124985344294578336704080366425412013381990791371814967584514201688986015734223368637953036583136825422248587696638513119777457274198307718794595177957006221031891660787836477146517117834838405452991166364342058531422698536830571279732921718120938294601712801527975127658320639738024605498130981894315492469202045550423009040725704923040064697294322069804486530686115383770178891950562527506399696422854354835838610352673982491389409162859068363133991868393092073677589014458544034369693711679500513757162597938518855078845719203622148777042970039232656155445911456520773214588351822113480753510831238390074842102826000857740925429674389376674276534162285078581906651472687081391170536920249669049296808494955021810770391701178903265141262934906644658055116849527045310601559814778884872919050877924451867680033382646445327466643051669789203876924300853949058748685772259181026656411754704933221845767276299624133976650661932802366077033698823126727316401674327920664853293404540453953504675605560308794522927015499782508776636614561354197485327387120630878504522153379787932691991858639519384859082375161284683989276586471063178664654972987154937328751166297456024014445211279078023697345022191050819538219578133761533447149585536776765163674929403089746057765070891862088170458461898376400835116731117611780259251805654586075928965837695737461340361284541781579730105014004053232638438469726397778707564416689551808002260818869309274245336696656198601991119671255370251652295494367499226433060078695592894315014553449410637712842020978107783329109484068639036401631640427335108058209928352937955360137836615750335795963298981709007256698887973971266563209745679456609434984804596037339089222683311685150344595106112530509269049128734982332626072913029514421451623931489550574946230780153646233540073079704065891370581867187950268711447430982412218269687506613392068103164769823450186656782895611760987838328067500835653213782879290183294988977148950256893564510454528208153666011902945295791661201692810006272052359398277036806206010761396978251900126212187377396631536555806088741526115466886846630163700144108748775022291443234425701954459473835483722794109657124771264927760387145904987916702969163059290671311240138604973269681398510167196995155673338990719702085033313899734523363776488894825941168765856236007888533537072078685727032700182550174978439079701942448038219487409039352123695731014146301720927058615730613194198469243221925663301416231405695271129745541213872829814098287425821281341393542733050905238860843978438576667512529812364493623207891953901238123635951861540761122464152293760266526215115412382949606874372069356781855027540514884636189038998434643125851795678036939398506414330312631419162928647163660979339083449737121112185029964649643932218396327945820208857487844102375987492772962280532609614335424340229746724520812432421824534}
19320  20927082891196074316609764533414692099062301165846126627963717881523092: {212399,366719,540652,597959,656234,772360,868905,905831,926832,1021151,1042686,1118762,1174799,1366679,1596671,1711559,1941119,2007304,2055791,2093999,2170391,2258217,2272562,2628071,2666159,3008591,3122591,3184665,3314956,3396976,3426239,3464159,3805079,3821598,4111154,4447271,4560359,4598039,4728745,4786319,5124719,5158732,5255594,5387471,5674494,5836991,5911799,6078892,6321544,6583631,6654705,6755350,6851762,7067231,7098352,7111737,7244392,7456972,7533674,7586519,7734599,7915756,7956479,7985646,8106420,8149941,8374252,8646848,8693999,9119762,9650500,9727704,9830831,10268831,10560191,10698794,10705679,10814711,10821129,10943667,11250119,11358791,11575919,11580600,11973239,12046634,12297599,12352640,12729071,12769384,12827185,13028175,13517111,13612562,13624271,13896720,14365557,14762831,14823168,14975121,15171434,15293711,15310905,15392622,15505559,15524104,15633810,15829864,15837362,15857999,15928391,16067737,16174511,16244759,16299205,16331632,16350071,16441192,16676064,16700591,16910519,16944362,17294639,17398101,17464617,17483692,17503751,17747351,17808597,17827525,18047762,18164039,18324550,18373086,18475799,18496341,18544991,18648719,18760572,18855959,18890471,19200719,19308289,19407191,19510319,19559046,19586474,19819271,19887839,19990631,20093351,20103784,20195999,20537639,20712025,20912519,21252479,21336362,21393030,21523871,21625511,21760919,21989460,21990194,22132631,22267559,22425362,22616757,22738799,22819232,22953910,23040911,23074439,23077034,23148904,23301057,23343052,23455424,23542991,24061192,24160274,24442199,24657969,24773759,24854430,25071479,25236599,25566239,25583692,25671636,25730759,26042517,26101034,26387352,26419559,26452271,26491144,26511392,26615711,27068841,27234959,27544692,27583270,27648145,27689399,27802281,27883679,28077671,28464791,28561391,28947071,29104665,29354725,29363591,29490321,29522474,29522824,29685771,29802537,29825316,29842511,29870709,29906231,30043372,30287879,30319631,30605039,30700031,31044976,31551719,31642154,31708799,31897031,31904229,32022359,32647079,32675566,32740511,32791300,32860465,32927159,33099924,33113519,33177774,33213177,33578159,33609071,34044789,34317839,34440671,34474252,34532711,34624679,34661992,34685951,34794674,34925598,35052911,35083439,35107525,35225670,35566984,35601191,35838314,35874359,35995559,36328199,36329605,36358391,36599639,36629759,36720071,36772744,36960551,37080599,37574048,37690665,37707794,37708751,37857791,37976879,37981225,38303711,38328362,38659151,38741354,38747831,38954471,38994741,39042911,39136881,39208345,39278399,39314956,39349560,39432558,39497350,39630671,39718559,39747839,39749185,39981791,40012857,40083304,40203376,40270569,40273511,40360871,40448159,40506311,40593479,40854551,41143871,41201639,41369337,41544741,41720111,41972864,42111505,42129030,42185992,42270804,42829305,42862991,43036609,43042994,43086184,43175039,43344839,43595526,43711751,43768079,44133431,44268255,44301599,44353477,44357591,44462762,44469479,44692871,44720759,44937632,45054791,45093717,45228798,45472562,45577470,45608951,45684592,45802151,46076714,46132439,46269719,46591525,46679380,46707671,46844111,47050014,47219472,47396820,47442071,47459241,47578504,47658551,47699022,47739599,47803945,48143759,48385391,48471957,48572879,48590457,48615968,48878954,48973319,49148372,49212719,49458025,49665705,49847951,50137559,50266281,50467562,50533806,50554836,50556608,50766071,50768545,51060914,51161061,51338159,51395166,51700199,51803351,51957839,52240319,52265951,52317191,52342799,52750201,52833194,52976752,53031191,53080585,53107319,53121906,53234039,53461631,53525817,53638199,53812754,53828905,54215591,54290591,54485356,54540071,54692964,54750657,54781665,54887999,55505399,55579151,55628392,55726439,55761074,55775471,55909830,55946831,56015256,56093399,56239679,56361359,56385671,56507111,56784550,56876184,57039071,57303599,57364734,57447479,57471431,57519311,57686639,57805919,57887594,58020119,58257359,58433776,58517399,58551374,58611719,58729439,58893911,59245031,59349630,59524631,59594351,59598846,59637152,59867185,59872511,59918759,60080392,60187562,60218591,60356519,60471239,60568874,60631511,60672904,60677231,60878956,60906025,60922254,61155359,61291319,61359191,61426991,61480870,61517279,61832279,61854719,61921991,62168039,62324111,62581941,62701511,62767871,63017163,63054599,63306272,63362110,63388897,63418252,63696702,63711119,63766549,63819839,63971711,63985707,64144799,64467959,64537874,64594686,64684012,64981271,65105356,65221345,65257391,65363231,65553239,65616431,65737998,65889431,66077639,66181919,66219434,66235809,66312805,66490417,66617711,66681105,66762191,66887049,66926831,67091796,67148594,67193279,67315799,67376951,67539671,67590441,67627372,67681631,67695385,67742351,67896745,67924079,68085071,68141460,68225519,68257017,68291350,68345591,68376705,68476969,68624639,68884492,69000839,69180074,69295799,69530471,69569471,69705719,69860951,69862142,69996359,70097714,70211960,70381079,70553159,70743599,70838519,70888345,70952159,70971071,71126512,71140919,71219556,71345701,71347631,71534711,71590679,71840622,71855329,71922194,71961959,72270517,72311711,72408661,72512879,72640391,72647954,72660081,72684224,72935152,72948431,73087230,73128551,73164479,73190762,73443189,73717271,73752671,73777044,73887052,74384399,74506031,75057071,75159479,75227591,75278591,75312551,75329519,75357430,75481871,75515639,75532511,75834839,76034532,76184279,76266959,76480991,76530191,76579319,76758839,77018231,77147159,77163239,77212465,77243519,77578511,77611756,77641919,77959712,77972711,78194474,78265614,78284471,78329224,78469991,78555169,78577679,78746111,78807119,78852791,78943919,78988455,79019639,79200551,79259692,79350431,79427762,79469759,79573751,79575366,79670956,79780559,79900249,79971191,80000399,80017326,80131439,80215665,80305151,80492039,80577839,80649119,80653994,80875871,80946311,81156431,81234462,81249544,81313132,81337079,81419999,81461351,81476094,81488879,81699434,81735191,81769752,81830279,81870911,81938471,81949620,82052046,82099799,82139951,82273271,82379351,82432199,82471751,82550639,82566674,82668431,82824479,82863311,83174168,83273039,83462279,83512439,83581192,83644820,83724191,83810711,83835359,83945879,83994791,84254352,84321599,84393431,84429239,84559919,84607199,84666119,84771671,84797377,84975794,85015439,85026959,85066014,85095911,85153151,85259545,85267031,85301039,85323671,85368839,85492391,85524550,85525919,85563376,85603871,85618024,85692479,85736591,85758599,85946785,85955231,86117111,86192039,86224031,86340719,86445959,86466911,86539991,86543157,86602319,86654039,86807999,87060599,87150311,87198729,87298391,87317999,87327791,87357119,87412928,87493031,87665471,87704676,87788399,87900671,87974879,87984119,88120377,88176311,88257599,88284551,88356071,88462391,88536554,88567559,88593671,88602359,88639665,88645679,88680191,88751065,88808471,88825439,88976711,89026559,89084351,89158079,89231159,89247311,89374994,89384421,89422871,89470079,89485751,89563631,89579111,89633039,89709362,89829911,89918951,89941031,89963039,89972104,90043154,90050351,90122231,90136511,90157871,90312311,90346871,90394919,90428916,90517300,90589799,90752399,90784319,90822359,90953231,91026431,91068599,91095070,91098479,91279271,91290671,91363991,91391831,91405737,91446911,91511951,91633391,91709704,91760529,91800239,91805159,91818201,91877999,91892351,91990971,92018279,92058959,92151359,92185631,92198762,92210999,92252639,92321591,92333519,92357159,92372759,92380511,92407391,92418791,92430119,92452559,92492951,92507399,92587991,92608319,92611679,92616469,92654958,92677199,92680391,92686751,92718071,92727311,92781239,92812919,92829791,92878679,92889191,92942279,92963951,93011999,93031511,93056519,93062591,93066599,93086159,93091871,93112199,93122879,93128111,93140039,93171959,93173350,93173471,93193799,93232079,93243239,93246431,93254591,93257519,93264071,93265871,93275999,93276791,93287039,93299471,93300959,93303719,93310271,93312119,93314231,93314759,93315311,93513194,93570939,93883756,94028841,94033875,94194969,94548976,94786146,94986310,95143274,95186305,95485612,96043624,96121669,96258798,96320277,96508209,96758954,96995350,97080362,97405742,97485064,97881362,97934161,98339544,99743845,99803060,...,4580157311008806613304844407787979052775905658032519136984536760586347942212494206637379360144046684483716913725974475210554214604093985410062219100176440937559534780531232348161761184173538297229879987609064964187478016441867505056120549638118020072986187057722451376771302533479023601335052956929554874705238133372881544957769679666185911297461578191892766935509331547837491181754715719775676752257608179486749546513087797134047805245856919599382577181407441902569202291962691487480959607036908247196472841473238703803068325634513561088557384560097045941483104706729796029173075655268337925843791259599544634281532253757915529010973737084113744288602544700987802589638110516383521687816051554540567519250770635743896907778282618268578805433223165564455058848984233168867184781159821882527733170221130266246857585112263154239001286611388144511584065011414801243427617872859977209030622086755805380374503573945212742432532716155587551768354897711894402359966987082675274290567965902339722168327309378576316886677801520050073969667991199964577504683805815386451280923588123028658388771539984617632057399832768650914449436200964975992899203549115550548234690090974602511491880997279940106810680930257013408340463191784390523249673763164954921842031296227991080680946317756783230069681899037987787959279077288623562741927025983914879706594767996982459480732405993126749446184036021667816918617035546017533286576229307329367200642300170724378305165147745512394104634619086647606337793132255687692847564601252675096676417670388877708481879113893448756543606192010541926812672369595157521006079848957657704589596668061346625034327712003391228303963911368005044984297902986679506883055377478443241551248839649590118043389341472521830174115956569263031467161674993664226102958554602447460641002662087314892529406933040206754923625503693944948472563510885048331960956899844814618519184914152477206894056008633834024967527725516892659168795763903573693102473498939109369544271632177435897234325862419346170230469350310109619556098837055872800781925403067171146473618327404531259920088102154747154735175279985174343417641481757492101251253479820674318935274942483465723425385340346765681792312230499017854417943687491802539215009408078539097415555209309016142095467377850189318281066094947304833709133112289173200330269945245550216163123162533437164851638552931689210753225584191164485687156897391640580718857481875054453744588936006966860207907459904522097765250795492733510008486079553127549970849601785045664733342238911753148784354011832800305608118028590549050273825262467658619552913672057329231113559028185543596521219452581390587923595919791297703864832888494952124347108542906694618311820809244721147431138731922012090314099576357858291265967657865001268794718546740434811837930851857185453927792311141683696228440640399789322673118574424410311558104035172782541310772326954283558497651964688777693517055409097759621495468947128744392970745491469008625174605681668277544946974465898327594491918730313286231766153563981239159443420798914421503136510344620086781218648632736801}
19321  21009706217691868713031564716533706452754676757562885925967971289320181: {38638,675815,810978,965450,984351,1158540,1235776,1390248,1564029,1678143,1756391,2509130,2972354,3010956,3408843,4143695,4246220,4764383,4972434,5095464,5531351,5732397,6166731,6211058,6338843,6448415,7565992,7598615,7738098,7844111,7883391,7901930,8062802,8511741,8525738,8872940,9055490,9113291,9118338,9321215,9482316,9894695,10133025,10156871,10269311,10277643,10467815,10619423,10647528,10808560,10866588,11173211,11185458,11300511,11873634,11978469,12063125,12118943,12159630,12561378,12916079,12970272,13583591,13679643,13737371,13851131,14290178,14386043,14428172,14475750,14591556,14763983,15440800,15447311,15734603,15961730,16048191,16711739,17370900,17378834,17590811,17755751,18069951,18507899,18528960,19003178,19154076,19383743,19405130,19764224,19787330,19966828,20255291,20390834,20414540,20418843,20500271,20523496,20551490,20845080,21053543,21761531,21854615,21910943,22234752,22236383,22757151,23088933,23179751,23197468,23286156,23450715,23534498,23744796,23756043,23865671,24003503,24225071,24465479,24497448,24661788,24985202,25014096,25129730,25218791,25416543,25702178,25832471,25942619,26078728,26225538,26798651,26989511,27071643,27164354,27486825,27559629,28140858,28156658,28524040,28936130,29178815,29319280,29338569,29379711,29634971,30005522,30048194,30076490,30155676,30308363,30329243,31068076,31121111,31606391,31667831,31672343,31979615,32004543,32089545,32176151,32489183,32778818,32877292,32984190,32985291,33113930,33139240,33453143,33638043,33914831,34019639,34228848,34430865,34615551,34627682,34686698,34723356,34920923,35014578,35072891,35173499,35177954,35183136,36091788,36240411,36726256,36903530,36912743,37069708,37281645,37554215,37605191,37630802,37700411,37711991,38375538,38507454,38806220,38865851,39151551,39320428,39581028,39736716,39767088,39827612,39974018,40686623,40989125,40996274,41317038,41374905,41555111,41616338,41631191,42301019,42538972,42677954,43092815,43327490,44016983,44133232,44237032,44283711,44284236,44458730,44737974,45065058,45393052,45774122,45965930,46354658,46423634,46567464,46820411,46967560,47047739,47463231,48065039,48066719,48674843,48758603,49013349,49143695,49186950,49419611,49649886,49766661,50104130,50254220,50472551,50551919,50609483,51129554,51711378,51888911,51992988,52182508,52192011,52209218,52388397,52466080,52570343,52576744,52732490,52778111,52838505,53039711,53088791,53350476,53591714,53694092,53757471,53857730,54236018,55083671,55159116,55346891,55392988,56172040,56308031,56361072,56561691,56798183,57105740,57486551,57492543,58112031,58127368,58138538,58349225,58638971,58972434,59024340,59134538,59148837,59246025,59247383,59273483,59473130,60124956,60305064,60482843,60637463,60769960,61435465,62096231,62235698,62733352,62959296,63193545,63195760,63278988,63406206,63598696,63630011,63639554,63649391,63818258,64564491,64629276,64674794,64787276,64812599,64971602,65393289,65757119,65808482,66220940,66694143,67021708,67067351,67378408,67406448,67843197,68106695,68208843,68214748,68366205,68526888,68530631,68538071,69102539,69115071,69118151,69535490,70019070,70324034,70332911,70575021,70829208,71093351,71095230,71367756,71548533,71686871,72336071,72777397,72923952,73000876,73042220,73098791,73133543,73318431,73355234,73722558,74116274,74214218,74546440,74687008,74867954,74915771,75100490,75444731,75701343,75800709,75832254,75832991,75834912,75841130,76098695,76290791,76486312,76591371,77092749,78633458,78725591,79132840,79143842,79249791,79272815,79465128,79682859,80003951,80245991,80719131,80837723,80855015,81229672,81381695,81728034,82039446,82593071,82730354,82986623,83101538,83442588,83641611,83818439,83864745,84022884,84038171,84418463,84534215,84928936,85176825,85299431,85314276,86016983,86047101,86105615,86126248,86831391,87650664,87764950,87827061,88024802,88314412,88320743,88412279,88908140,89024445,89182732,89398269,89411963,89455728,89589659,90018743,90120588,90281343,90564338,90853311,90854219,90855280,91009356,91168940,91253531,91318434,91383381,92221305,92358815,92433239,92462498,92629211,92981522,93695378,93814271,94589243,94959408,95043165,95127378,95290514,95545053,95673383,95749058,95787496,96120002,96806811,96880108,96892029,97014695,97026018,97449640,97599671,97658034,97911530,97924252,97990619,98369392,98606997,98831831,99074615,99329151,99588695,99713234,99762578,...,6106876414678408817739792543717305403701207544043358849312715680781797256283325608849839146858728912644955884967965966947405619472125313880082958800235254583412713040708309797549014912231384396306506650145419952249970688589156673408160732850824026763981582743629935169028403377972031468446737275906073166273650844497175393277026239554914548396615437589190355914012442063783321575672954293034235669676810905982332728684117062845397073661142559465843436241876589203425603055950255316641279476049210996261963788630984938404091100846018081451409846080129394588644139608973061372230767540357783901125055012799392845708709671677220705347964982778818325718136726267983736786184147355178028917088068739387423359001027514325195877037710157691438407244297554085940078465312310891822913041546429176703644226961507021662476780149684205652001715481850859348778753348553068324570157163813302945374162782341073840499338098593616989910043621540783402357806530282525869813289316110233699054090621203119629557769745838101755848903735360066765292890654933286103339578407753848601707898117497371544518362053312823509409866443691534552599248267953301323865604732154067397646253454632803348655841329706586809080907907009351211120617589045854030999565017553273229122708394970654774241261757009044306759575865383983717279038769718164750322569367978553172942126357329309945974309874657502332594912048028890422558156047394690044382101639076439156267523066894299171073553530327349858806179492115530141783724176340916923796752801670233462235223560518503611309172151857931675391474922680722569083563159460210028008106465276876939452795557415128833379103616004521637738618548490673393312397203982239342510740503304590988734998452866120157391185788630029106898821275425684041956215566658218968137278072803263280854670216116419856705875910720275673231500671591926597963418014513397775947942533126419491358913218869969609192074678178445366623370300689190212225061018538098257469964665252145826059028842903247862979101149892461560307292467080146159408131782741163734375900537422894861964824436539375013226784136206329539646900373313565791223521975676656135001671306427565758580366589977954297900513787129020909056416307332023805890591583322403385620012544104718796554073612412021522793956503800252424374754793263073111612177483052230933773693260327400288217497550044582886468851403908918947670967445588219314249542529855520774291809975833405938326118581342622480277209946539362797020334393990311346677981439404170066627799469046727552977789651882337531712472015777067074144157371454065400365100349956878159403884896076438974818078704247391462028292603441854117231461226388396938486443851326602832462811390542259491082427745659628196574851642562682787085466101810477721687956877153335025059624728987246415783907802476247271903723081522244928304587520533052430230824765899213748744138713563710055081029769272378077996869286251703591356073878797012828660625262838325857294327321958678166899474242224370059929299287864436792655891640417714975688204751974985545924561065219228670848680459493449041624864843649068}
19322  21092653422906071353726507835088427739501469129582689302091848162351962: {57957,251017,424798,733438,1081304,1195918,1216467,1312468,1405177,1448175,1544720,1737810,1811662,1853664,1979557,2042302,2085372,2094217,2237524,2349598,2666437,2733358,3193342,3423118,3464521,3763695,3882238,4014608,4111582,4187998,4340782,4458531,4516434,4545124,4598521,5162821,5256142,5307775,5332318,5949817,6017182,6245182,6369330,6620243,6621577,6629912,6793952,6852478,6928318,7458651,7610158,7643196,7735417,8222308,8731717,8894542,9120718,9196078,9316587,9457490,9572638,10249438,10317464,10511188,10774942,11091175,11348988,11607147,11673982,11794021,11823598,11852895,12010597,12094203,12157784,12334921,12643088,12788607,13167262,13309410,13510700,13583235,13677507,13703524,13732837,14134462,14196704,14223474,14267257,14488784,14913944,15067348,15173038,15330697,15469198,15831512,15912958,15971292,16212840,16281637,16299882,16748504,16778187,17293696,17387998,17810451,17958059,18035215,18239445,18239524,18477817,18685321,18842067,18892537,19301000,19455408,19512457,19661662,19924297,20437477,20537662,20948857,21120382,21397588,21411358,21435267,21629422,21642258,21713625,21763321,21887334,22500238,22717582,22818887,23076997,23151838,23161200,23942595,23946478,24093268,24595198,24705280,24958535,25074277,25458142,25518175,25538768,25654370,25673659,26056350,26062117,26068251,26258821,26455237,27034222,27225124,27238021,27248542,27793440,28500217,28504767,28731114,28996835,29107695,29366917,29525662,29646336,29680995,29941477,29950242,30323077,30342868,30586251,30587422,30608521,30621810,30785244,30798457,30827235,31011118,31048208,31267620,31272037,31659728,31674724,31715998,31856782,32026021,32135474,32349022,32489518,32598410,32663264,32681977,32700142,32775397,32882384,33352128,33401182,33612937,33821038,33888724,34589278,34796202,34929234,34967384,35007502,35087497,35301747,35494702,35617194,35655050,35908837,36095524,36328078,36362617,36634021,36649100,36746172,36951598,36992682,37089982,37297438,37477803,37521144,37694595,37711918,37780942,38401438,38553267,38616578,38693257,38707403,38814382,38835095,38870521,39020638,39047497,39118092,39172948,39312421,39338307,39638542,39752521,39775678,39981262,40186702,40207568,40391998,40746531,41075278,41096615,41424050,41825038,42211287,42234987,42504958,42672724,42786060,43047742,43251022,43378297,43404195,43521838,43978920,43980388,44265262,44474821,44535118,44726137,44850724,45008283,45072291,45114735,45143557,45233514,45477598,45559177,45638464,45907820,46004651,46081822,46148878,46154068,46297808,46302757,46337135,46602114,46686104,46910848,47085982,48122384,48320548,48337657,48507775,48884398,49150535,49168227,49315938,49476285,49547518,49616377,49670895,49708860,49784515,50142958,50473198,50861447,51132478,51167384,51343272,51344521,51461518,51941523,52030047,52085034,52202068,52272457,52349317,52521867,52766931,52774704,52839118,52904542,52982288,53022784,53173715,53231422,53266021,54137682,54469918,54546937,54891683,54919717,55089384,55166540,55296290,55355295,55364677,55378798,55604562,55648859,55767358,56155342,56392837,56446203,56741315,56929582,57118597,57122782,57478777,57563307,57761181,57894142,58209330,58264837,58709450,58727182,58956107,58980642,59044948,59045648,59371542,59605074,59650632,59685022,59741418,59812462,59961027,60086744,60502021,60575758,60639262,61210078,61321957,61400062,61494411,61862821,61975557,62089952,62424507,62731897,62817775,63103438,63284308,63417598,63523321,63794062,63808458,63850021,64016931,64044718,64174921,64991235,65011237,65228135,65294158,65351132,65481022,65582600,65720930,65854318,66199848,66227038,66355548,66426354,66688095,66925523,67106961,67117615,67156318,67218142,67597587,67630021,68089578,68114437,68635678,68661183,68881342,68948504,68948895,69010297,69065422,69241235,69249358,69305317,69323984,69371902,69531987,69589348,69598537,69635451,69851196,70105822,70166878,70215050,70294921,70451340,70696357,70980937,71075963,71133968,71202382,71382175,71600677,71676628,71748718,71991118,72541321,72656398,72659210,72716782,73199278,73246597,73259518,73440142,73545488,73780425,73921102,74161198,74312819,74474829,74516677,74914151,75148096,75156195,75340357,75360467,75381330,75415588,75417502,75543397,75593977,75715582,75953758,75962450,76533083,76541317,76607422,76656724,76694331,77174521,77270857,77318302,77482708,77495662,77558137,77567067,77908942,77989482,78085822,78273762,78313827,78416690,78556798,78629912,78699120,78865116,78994700,79046521,79098735,79261342,79362277,79437118,79495678,79498370,79963582,80025714,80166608,80387571,80406752,80461177,80541138,80547022,80721742,80786595,80896318,80927327,80984095,81012622,81014821,81098917,81186958,81354027,81556297,81709102,82287742,82325797,82403278,82738674,82776175,83089482,83146057,83222521,83440222,83777135,83814059,83945728,84081157,84223010,84258060,84371984,84541608,84585157,84620617,84761737,85040521,85268435,85410611,85550821,85658610,85725982,85979977,86073218,86085988,86172368,86350078,86616457,86689678,87074917,87191052,87207807,87342217,87423502,87536158,87998821,88081657,88266862,88458651,88486117,88536510,88603198,88617337,88701807,88706954,88715182,88925524,88938958,89050021,89099557,89173321,89209695,89385742,89441518,89875264,90109582,90159397,90187434,90457596,90552697,90612421,90945124,91084921,91154940,91174021,91217902,91226617,91251095,91302775,91309883,91369184,91380517,91560697,91604302,91792357,91822021,91894921,92153428,92207077,92264878,92539438,92629321,92698117,92745097,92790277,92837927,92899321,92960377,93104521,93183050,93192037,93237577,93262021,93277321,93285637,93295717,93312421,93331321,93334597,93334921,93353547,93358760,93415342,93688222,94100028,94427567,94438944,94773539,94793640,94884142,94918482,95055443,95109309,95157008,95317102,95398044,95459331,95479198,95543899,95607890,95727387,96287518,96770782,96943914,97012191,97145758,97180914,97231936,97457403,97757908,97946638,98296744,98425438,98712723,98916050,99243683,99331410,99695902,...,9160314622017613226609688815575958105551811316065038273969073521172695884424988413274758720288093368967433827451948950421108429208187970820124438200352881875119069561062464696323522368347076594459759975218129928374956032883735010112241099276236040145972374115444902753542605066958047202670105913859109749410476266745763089915539359332371822594923156383785533871018663095674982363509431439551353504515216358973499093026175594268095610491713839198765154362814883805138404583925382974961919214073816494392945682946477407606136651269027122177114769120194091882966209413459592058346151310536675851687582519199089268563064507515831058021947474168227488577205089401975605179276221032767043375632103109081135038501541271487793815556565236537157610866446331128910117697968466337734369562319643765055466340442260532493715170224526308478002573222776289023168130022829602486855235745719954418061244173511610760749007147890425484865065432311175103536709795423788804719933974165350548581135931804679444336654618757152633773355603040100147939335982399929155009367611630772902561847176246057316777543079969235264114799665537301828898872401929951985798407098231101096469380181949205022983761994559880213621361860514026816680926383568781046499347526329909843684062592455982161361892635513566460139363798075975575918558154577247125483854051967829759413189535993964918961464811986253498892368072043335633837234071092035066573152458614658734401284600341448756610330295491024788209269238173295212675586264511375385695129202505350193352835340777755416963758227786897513087212384021083853625344739190315042012159697915315409179193336122693250068655424006782456607927822736010089968595805973359013766110754956886483102497679299180236086778682945043660348231913138526062934323349987328452205917109204894921282005324174629785058813866080413509847251007387889896945127021770096663921913799689629237038369828304954413788112017267668049935055451033785318337591527807147386204946997878218739088543264354871794468651724838692340460938700620219239112197674111745601563850806134342292947236654809062519840176204309494309470350559970348686835282963514984202502506959641348637870549884966931446850770680693531363584624460998035708835887374983605078430018816157078194831110418618032284190934755700378636562132189894609667418266224578346400660539890491100432326246325066874329703277105863378421506451168382328971374313794783281161437714963750108907489177872013933720415814919809044195530501590985467020016972159106255099941699203570091329466684477823506297568708023665600611216236057181098100547650524935317239105827344114658462227118056371087193042438905162781175847191839582595407729665776989904248694217085813389236623641618489442294862277463844024180628199152715716582531935315730002537589437093480869623675861703714370907855584622283367392456881280799578645346237148848820623116208070345565082621544653908567116995303929377555387034110818195519242990937894257488785941490982938017250349211363336555089893948931796655188983837460626572463532307127962478318886841597828843006273020689240173562437297265473602}
19323  21175925767344382297124146134557929686663315098139050920232302317192465: {77276,637197,946141,1100157,1351630,1621956,1640585,1793877,1930900,1968702,2317080,2335421,2471552,2606715,2717493,2780496,2796905,3063453,3128058,3356286,3512782,3524397,4100037,4790013,4880117,5018260,5134677,5574521,5681405,5801173,5823357,5944708,6021912,6167373,6281997,6511173,6774651,6817686,7884213,7998477,8287390,8492440,9025773,9027781,9270313,9367773,9528766,9553995,9944868,10190928,10277885,10278717,10392477,10638061,10770253,11062702,11227997,11351797,11415237,11464794,12333462,12422116,12677686,12896830,13049701,13138985,13341813,13544701,13681077,13794117,13852573,14186235,14358957,14654941,15131984,15197230,15264457,15374157,15387941,15476196,15688222,15766782,15803860,16125604,16162413,16888375,17023482,17051476,17129405,17510973,17735397,17745880,18110980,18161237,18226582,18236676,18255913,18642430,18834185,18964632,19750237,19750893,19789390,19964115,20266050,20313742,20538622,20555286,20935630,21201693,21238846,21295056,21335211,21343421,21617120,21733176,22346422,22370916,22601022,22759557,22799405,23203797,23747268,23869437,23956938,24126250,24227593,24237886,24319260,24449823,24488701,25122756,25658917,25718173,25832158,25940544,26081997,26351881,26673397,26746985,27167182,27359286,27474742,27639821,27702262,28580356,28772086,28856344,28951500,29183112,29492493,29527966,30116585,30596461,30806493,30881600,30894622,31408157,31469206,31671133,31680573,31923460,32096382,32117037,32444133,32463387,32831001,33423478,33750357,34031405,34076373,34727757,34741800,34757668,35181622,35398501,35511502,35569213,35919717,36139902,36365821,36421517,36892797,37015798,37057920,37928585,38006356,38187213,38308152,38481555,38767486,38810260,39084525,39324917,39528448,39574660,39593405,39933656,40173221,40510582,40551333,40781668,40829080,40837686,40850341,40872813,41000542,41046992,41102980,41690160,42107086,42360905,43096671,43492597,43523062,43709230,43821886,44288493,44469504,44472766,44771461,44925363,45119405,45514302,45811375,45881133,45932715,46177866,46240877,46359502,46394936,46516677,46572312,46901430,47052637,47068996,47489592,47512086,47573997,47643901,47731342,47785173,48007006,48203211,48450142,48523533,48524681,48734277,48897615,48899477,48930958,48966185,48994896,49050213,49323576,49970404,50028192,50101773,50142917,50259460,50411437,50437582,50731557,50833086,51404356,51664942,51883917,51885238,51894313,52157456,52194303,52393851,52451076,52511253,52575901,53242053,53340905,53425791,53482575,53597302,53979022,54143286,54328708,54335621,54492117,54973650,54975485,55119258,55333213,55352653,55427397,55489023,55634973,55923221,55946157,56063405,56142061,56281716,56313316,56567877,56671413,56804137,57048080,57384775,57602157,57692585,57872260,57924867,58221573,58357630,58530957,58638560,58677138,58759422,58824821,59269942,59279677,59457813,59663517,59743177,59971893,60011044,60072797,60096388,60152980,60280053,60290773,60311352,60329941,60382613,60400685,60587997,60616726,60658486,61612917,62136075,62136152,62242222,62737557,62856137,63212782,63335662,63344686,63757437,63959230,64009086,64179090,64352302,64571613,64819357,64876533,64978366,65002421,65252585,65282757,65557636,65754584,65968380,65970582,66227860,66278480,66397893,66802677,66906286,67276086,67829662,67850271,68039278,68216397,68457696,68801173,68861730,68958175,69122733,69223317,69231102,69255364,69373396,69446712,69841846,69903171,70029156,70145782,70346998,70355908,70366272,70628973,72183576,72480822,72800237,73106413,73326597,73452512,73617797,73625861,73806185,73807060,73825486,73973907,74139416,74321277,74563290,75108430,75210382,75214437,75261604,75400822,75423982,75548153,75709797,76110761,76698717,76751076,77014908,77192277,77612440,77731702,78127551,78303102,78640856,78721157,79105385,79162056,79258677,79356813,79428521,79473432,79534176,79655224,79847133,79948036,80012293,80846197,81206523,81373246,81666637,81688915,81704877,81978250,81992548,82634076,82749810,82944435,83068197,83110222,83120713,83232676,83262382,83406843,83416421,83651037,84233013,84602038,85077944,85355908,85394373,85684173,86009651,86185630,86654980,86841213,86986685,87056201,87313995,88033966,88064175,88090773,88266464,88470963,88474064,88567422,88568472,88917460,89057313,89407611,89475948,89527533,89595785,89599021,89612127,89718693,90130116,90476777,90786104,90863637,90958893,91548244,91815117,91931860,91948637,92100093,92442877,92709316,92847268,93134928,93640822,93824053,93929357,93935120,94095478,94269485,94655157,94703753,94926462,95126397,95349373,95691093,95712687,95820905,95930057,96067077,96130078,96133438,96691421,96853385,97349686,97517206,97609993,97941237,98026698,98221533,98287390,98373900,98581395,98743375,98781477,98839222,99299772,99340557,99533322,99580133,99639531,...,13740471933026419839914533223363937158327716974097557410953610281759043826637482619912138080432140053451150741177923425631662643812281956230186657300529322812678604341593697044485283552520614891689639962827194892562434049325602515168361648914354060218958561173167354130313907600437070804005158870788664624115714400118644634873309038998557733892384734575678300806527994643512473545264147159327030256772824538460248639539263391402143415737570758798147731544222325707707606875888074462442878821110724741589418524419716111409204976903540683265672153680291137824449314120189388087519226965805013777531373778798633902844596761273746587032921211252341232865807634102963407768914331549150565063448154663621702557752311907231690723334847854805736416299669496693365176546952699506601554343479465647583199510663390798740572755336789462717003859834164433534752195034244403730282853618579931627091866260267416141123510721835638227297598148466762655305064693135683207079900961248025822871703897707019166504981928135728950660033404560150221909003973599893732514051417446159353842770764369085975166314619953852896172199498305952743348308602894927978697610647346651644704070272923807534475642991839820320432042790771040225021389575353171569749021289494864765526093888683973242042838953270349690209045697113963363877837231865870688225781077951744639119784303990947378442197217979380248338552108065003450755851106638052599859728687921988101601926900512173134915495443236537182313903857259942819013379396767063078542693803758025290029253011166633125445637341680346269630818576031625780438017108785472563018239546872973113768790004184039875102983136010173684911891734104015134952893708960038520649166132435329724653746518948770354130168024417565490522347869707789094401485024980992678308875663807342381923007986261944677588220799120620264770876511081834845417690532655144995882870699534443855557554742457431620682168025901502074902583176550677977506387291710721079307420496817328108632814896532307691702977587258038510691408050930328858668296511167618402345776209201513439420854982213593779760264306464241464205525839955523030252924445272476303753760439462022956805824827450397170276156021040297045376936691497053563253831062475407617645028224235617292246665627927048426286402133550567954843198284841914501127399336867519600990809835736650648489369487600311494554915658795067632259676752573493457061470692174921742156572445625163361233766808020900580623722379713566293295752386478200530025458238659382649912548805355136994200026716735259446353062035498400916824354085771647150821475787402975858658741016171987693340677084556630789563658357744171763770787759373893111594498665484856373041325628720083854935462427734163442293416195766036270942298729073574873797902973595003806384155640221304435513792555571556361783376933425051088685321921199367968019355723273230934674312105518347623932316980862850675492955894066333080551166227293278864486406841386233178912236474407025875523817045004832634840923397694982783475756190939858695298460691943717478330262396743264509409531033860260343655945898210403}
19324  21259524516383151626826187969435358500116291274549488757105151369021897: {96595,115914,443923,502034,849596,1466876,2027445,2162608,2170843,2391836,2413625,2432934,2624936,2810354,2896350,2953053,3089440,3199219,3475620,3623324,3707328,3959114,4084604,4170744,4188434,4475048,4692087,4699196,4787323,5034429,5269173,5332874,5466716,5576083,5913043,6272825,6386684,6846236,6929042,7430885,7527390,7764476,8029216,8223164,8375996,8681564,8917062,9032868,9090248,9197042,9796363,10226529,10325642,10512284,10615550,10664636,11107483,11899634,12034364,12192163,12431085,12490364,12738660,13240486,13243154,13259824,13587904,13704956,13856636,14293149,14917302,15190963,15220316,15286392,15470834,15527645,15931843,16248283,16444616,16594053,16774243,17197191,17463434,17507563,17789084,17820763,18029203,18241436,18392156,18500193,18549043,18633174,18914980,19016529,19145276,19345245,19754825,19892203,20157005,20498876,20634928,21022376,21314345,21426883,21549884,21630283,22182350,22638725,22697976,22795845,23046019,23146603,23214294,23347964,23532333,23588042,23647196,23650173,23705790,24021194,24188406,24315568,24547219,24669842,25249301,25286176,25535223,25577214,25637803,26334524,26523619,26618820,27021400,27166470,27339873,27355014,27407048,27465674,27963645,28268924,28393408,28446948,28534514,28977568,29434219,29684085,29827888,29913019,30134696,30341597,30346076,30399075,30470613,30661394,30807933,30832929,30938396,31403445,31663024,31825916,31858269,31942584,32280019,32425680,32563274,32599764,33214219,33497008,33519633,33556374,33585883,33901533,34233523,34587392,34602019,34693963,34775996,34941949,35620902,35725445,35916118,35935407,36070430,36189375,36356829,36478890,36479048,36788803,36955634,37370642,37684134,37777219,37785074,38602000,38748237,38910816,39024914,39111019,39323324,39848594,39904325,40341283,40515883,40595569,40750773,40874954,40951123,41038929,41075324,41211403,41212113,41553393,41897714,42240764,42795176,42822716,42870534,43158129,43258844,43284516,43427250,43447085,43526642,43774668,43778563,43947403,44291949,44368243,44787283,45000476,45435164,45637774,45951019,46153994,46303676,46322400,46341933,46773619,46855483,47203809,47507945,47589019,47670163,47885190,47892956,48144573,48186536,48477643,48512825,49190396,49277923,49410560,49468325,49917070,50135217,50148554,50778619,50916284,50977085,51036350,51077536,51308740,51347318,51378725,51867763,52112700,52124234,52136502,52253323,52330219,52517642,52772433,52910474,53171323,53267253,54068444,54209853,54369133,54450248,54476042,54497084,55523697,55586880,55716019,55789603,56083219,56521483,57000434,57009534,57462228,57534019,57535261,57993670,58151229,58215390,58733834,58836245,58956019,59051324,59292672,59361990,59586523,59725843,59882954,59900484,59934283,60280243,60418123,60646154,60685736,60693019,60765873,61172502,61174844,61217042,61243620,61256529,61500813,61570488,61596914,61654470,62022236,62096416,62318203,62463005,62535240,62544074,62824325,63160629,63319456,63349448,63431996,63706219,63713564,63967003,64052042,64255445,64270948,64291363,64698044,64871989,64979036,65196820,65284593,65326528,65363954,65380723,65400284,65550794,65563845,65732829,65764768,66262219,66511483,66635683,66704256,66709149,66802364,67225874,67558003,67628957,67642076,67777448,67910885,68271453,68643403,68762563,68810749,69059203,69178556,69266799,69539253,69588619,69592404,69698321,69858468,69934768,70015004,70174994,70352145,70391645,70458019,70603494,70989404,71028619,71234388,71268129,71310100,71597013,71647963,71815363,71817674,72010509,72191048,72340325,72368683,72656156,72675213,72725234,72969019,73185163,73268042,73298200,73396437,73492344,73773619,73903196,73985364,74090923,74179964,74443201,74594876,74955606,75013805,75042288,75120485,75129883,75191225,75334219,75389190,75423836,75537403,75561884,75656373,75890203,76249629,76634323,76802876,77106534,77233156,77386514,77414806,77497413,77628764,77670190,77741042,77743843,77827857,78041276,78094994,78236184,78345896,78446923,78624842,78676614,78906643,78952219,79224163,79277084,79404019,79437841,79505042,79551356,79848619,79962524,80024443,80373404,80395953,80415136,80783996,80968533,81181123,81214929,81348019,81389563,81493062,81513763,81947045,81963619,82150556,82165219,82193230,82205323,82460475,82678887,82784825,82848100,82893173,83650076,83861683,84300163,84422574,84469974,85009916,85317019,85345448,85351003,85572120,85786243,85983019,86095484,86145019,86273323,86495083,86502044,86569205,86716745,86756594,86808390,86897563,86928019,87043676,87346843,87536445,87550963,87694603,87944885,87957840,87960776,88015707,88139133,88492219,88530524,88753219,88778923,88855603,88881019,88904913,88949642,89070236,89131219,89277883,89452274,89469403,89516563,89610019,89701448,90016566,90038203,90081763,90144582,90168019,90229470,90253123,90287114,90448189,90467028,90854683,90925089,90948643,90955196,90987729,91059019,91118354,91276928,91306483,91319389,91323619,91491019,91728619,91815640,92009302,92102083,92163644,92258825,92297756,92308136,92415283,92595616,92605514,92673619,92674270,92712643,92722219,92822803,92930443,93103243,93115123,93159763,93190219,93204228,93303619,93316219,93318523,93325003,93334363,93337603,93363333,93372208,93821696,93964661,94077005,94171964,94688249,94819173,95003493,95017029,95938845,96013629,96244768,96268635,96528453,96641096,96675314,96937729,97015550,97467549,97768796,98301070,98336454,98631876,98952570,98955873,99095036,99232754,99341790,99417720,99569030,99935045,...,18320629244035226453219377631151916211103622632130076547938147042345391768849976826549517440576186737934867654903897900842216858416375941640248876400705763750238139122124929392647044736694153188919519950436259856749912065767470020224482198552472080291944748230889805507085210133916094405340211827718219498820952533491526179831078718664743645189846312767571067742037326191349964727018862879102707009030432717946998186052351188536191220983427678397530308725629767610276809167850765949923838428147632988785891365892954815212273302538054244354229538240388183765932418826919184116692302621073351703375165038398178537126129015031662116043894948336454977154410178803951210358552442065534086751264206218162270077003082542975587631113130473074315221732892662257820235395936932675468739124639287530110932680884521064987430340449052616956005146445552578046336260045659204973710471491439908836122488347023221521498014295780850969730130864622350207073419590847577609439867948330701097162271863609358888673309237514305267546711206080200295878671964799858310018735223261545805123694352492114633555086159938470528229599331074603657797744803859903971596814196462202192938760363898410045967523989119760427242723721028053633361852767137562092998695052659819687368125184911964322723785271027132920278727596151951151837116309154494250967708103935659518826379071987929837922929623972506997784736144086671267674468142184070133146304917229317468802569200682897513220660590982049576418538476346590425351172529022750771390258405010700386705670681555510833927516455573795026174424768042167707250689478380630084024319395830630818358386672245386500137310848013564913215855645472020179937191611946718027532221509913772966204995358598360472173557365890087320696463826277052125868646699974656904411834218409789842564010648349259570117627732160827019694502014775779793890254043540193327843827599379258474076739656609908827576224034535336099870110902067570636675183055614294772409893995756437478177086528709743588937303449677384680921877401240438478224395348223491203127701612268684585894473309618125039680352408618988618940701119940697373670565927029968405005013919282697275741099769933862893701541361387062727169248921996071417671774749967210156860037632314156389662220837236064568381869511400757273124264379789219334836532449156692801321079780982200864652492650133748659406554211726756843012902336764657942748627589566562322875429927500217814978355744027867440831629839618088391061003181970934040033944318212510199883398407140182658933368955647012595137416047331201222432472114362196201095301049870634478211654688229316924454236112742174386084877810325562351694383679165190815459331553979808497388434171626778473247283236978884589724554927688048361256398305431433165063870631460005075178874186961739247351723407428741815711169244566734784913762561599157290692474297697641246232416140691130165243089307817134233990607858755110774068221636391038485981875788514977571882981965876034500698422726673110179787897863593310377967674921253144927064614255924956637773683195657686012546041378480347124874594530947204}
19325  21343450940288065003161269760009186781332788997856754726911852484490223: {154552,173871,753051,1061995,1274394,1833595,1892282,2200314,2296819,2703260,2760043,2989795,3243912,3281170,3587754,3649401,3861800,3915667,3937404,4215531,4344525,4529155,4634160,4670842,4943104,5105755,5213430,5434986,5560992,5593810,5767411,5873995,5938671,6126906,6230347,6256116,6282651,6712572,6833395,7025564,7048794,7953967,7983355,7999311,8200074,8557795,8692123,9580026,9705595,9760234,9961039,10036520,10269354,10278955,10393563,10469995,10851955,11149042,11291085,11362810,11602346,11646714,11889416,12043824,12334746,12563994,12855091,13022346,13140355,13269451,13330795,13375593,13429099,13549302,13635372,13795563,14389039,15042955,15488463,15612955,15768426,15923325,15996954,16203547,16574780,16984880,17131195,17198287,17320795,17557903,17849451,18051546,18055562,18394579,18540626,18735546,19025395,19047151,19057532,19107990,19306747,19860729,19864731,19889736,20381856,20555770,20557434,20664907,20784954,21276122,21345643,21540506,21766063,22125404,22236355,22375953,22455994,22606639,22703594,22801795,22830474,22929588,22990195,23206251,23219059,23464531,23643725,23931595,23981167,24666924,24844232,25224043,25355372,25623595,25793660,26099402,26195151,26236387,26277970,26367859,26683626,26937355,27089402,27362154,27588234,27642703,27705146,27949761,28372470,28717914,29078347,29184955,29309882,29558995,30263968,30394460,30528914,30748314,30775882,30952392,31376444,31404223,31533564,31607720,31678939,31829743,31919167,32251208,32324826,32665243,32914507,32918155,32978419,33084139,33273525,33776750,34046964,34102952,34258810,34821441,35021946,35336155,35382063,35470794,35491760,35558685,36031791,36221960,36282609,36322474,36425323,36453164,36473352,36511826,36689071,37004763,37069699,37118731,37284860,37445779,37668370,37929264,37932595,38365821,38672995,39329011,39500474,39501786,39578780,39782395,39928230,40532100,40593883,40627484,40749705,41032521,41077244,41110572,41198511,41411779,41788963,41871260,42163219,42403386,42477692,42481279,42590112,42670422,42686842,42801771,43043611,43234240,43466352,43469995,44692844,44741832,45202044,45519114,45598810,45992091,46245691,46407594,47477443,47494536,47643967,47660239,47738874,47913876,48252500,48455186,48475772,48638520,48844911,48899646,48904603,48977402,49154155,49176019,49429903,49573267,50245512,50334561,50562523,51317834,51344155,51436346,51664316,51881088,52163994,52703762,52800955,53100019,53294287,53346794,53431353,53493970,53528395,53874177,53986171,54073555,54105645,54233467,54334364,54341299,54718335,54718572,54949484,55114543,55279642,55404524,55430767,55433451,55929043,56055963,56250595,56526201,56677611,56793955,57160712,57498523,57544172,57712688,57790291,57879595,57903000,58005739,58366224,58537371,58651183,58984986,59055932,59243503,59259811,59305267,59772891,59866195,60079051,60233170,60495439,60728047,61192922,61264111,61312431,61487995,61612986,61763200,61789244,62109163,62816314,62846571,62862691,62938412,63167167,63342266,63361146,63645355,63846920,64093759,64135925,64192764,64234074,64305801,64888266,64926774,65140875,65289963,65420443,65662002,66846956,66859567,67191043,67500714,67585555,68062810,68121355,68152746,68456661,68552659,69230991,69455514,69483600,69515336,69520243,70363244,70797002,71023004,71138426,71752111,71827785,71839434,72279804,72731642,72843034,73633579,73785594,73814155,74031596,74115840,74274547,74677267,74875605,75222831,75857170,75937579,76012712,76374426,76468555,76489039,76554525,76616304,76821043,76963110,76965679,77020977,77221867,77477347,77527795,77534972,77620520,77820943,78169050,78186351,78204753,78488767,78649834,78776463,79056896,79149320,79186810,79289995,79365711,79436803,79600723,79641955,79867312,80338685,80346442,80769619,80872555,81001363,81021164,81102666,81223795,81359779,81496025,81563336,81658160,81675372,81700682,81714063,81745626,81750355,82001084,82093984,82205960,82287727,82610539,83233819,83303083,83380320,83425243,83502955,84214172,84436171,84552595,84560959,84721810,85500651,85514301,86193342,86473195,86985194,86990505,87002851,87046124,87139867,87323085,87418460,87446179,87518755,87643772,87703459,88100751,88576986,88736755,88939008,88945532,89042985,89137625,89542922,89616979,89824431,89850726,90238810,90486211,90820195,90969231,91028604,91353619,91622750,91758753,91762266,91825563,91865430,92355732,92378995,92395371,92481705,92481754,92719004,92724955,92789872,92853979,93033354,93144624,93243595,93802860,93816111,93939151,94105274,94137992,94279795,94452355,94979184,95024172,95147994,95287802,95462684,95570346,96003595,96014012,96078063,96406422,96541445,96701503,96900284,97035955,97047066,97049362,97113403,97298107,97468554,97551595,97795230,97798954,97856191,97861916,97932370,97989792,98045931,98100426,98326191,98583043,98647152,99096355,99166219,99415123,99439195,99750499,99940808,99953155,...,27480943866052839679829066446727874316655433948195114821907220563518087653274965239824276160864280106902301482355846851263325287624563912460373314601058645625357208683187394088970567105041229783379279925654389785124868098651205030336723297828708120437917122346334708260627815200874141608010317741577329248231428800237289269746618077997115467784769469151356601613055989287024947090528294318654060513545649076920497279078526782804286831475141517596295463088444651415415213751776148924885757642221449483178837048839432222818409953807081366531344307360582275648898628240378776175038453931610027555062747557597267805689193522547493174065842422504682465731615268205926815537828663098301130126896309327243405115504623814463381446669695709611472832599338993386730353093905399013203108686958931295166399021326781597481145510673578925434007719668328867069504390068488807460565707237159863254183732520534832282247021443671276454595196296933525310610129386271366414159801922496051645743407795414038333009963856271457901320066809120300443818007947199787465028102834892318707685541528738171950332629239907705792344398996611905486696617205789855957395221294693303289408140545847615068951285983679640640864085581542080450042779150706343139498042578989729531052187777367946484085677906540699380418091394227926727755674463731741376451562155903489278239568607981894756884394435958760496677104216130006901511702213276105199719457375843976203203853801024346269830990886473074364627807714519885638026758793534126157085387607516050580058506022333266250891274683360692539261637152063251560876034217570945126036479093745946227537580008368079750205966272020347369823783468208030269905787417920077041298332264870659449307493037897540708260336048835130981044695739415578188802970049961985356617751327614684763846015972523889355176441598241240529541753022163669690835381065310289991765741399068887711115109484914863241364336051803004149805166353101355955012774583421442158614840993634656217265629793064615383405955174516077021382816101860657717336593022335236804691552418403026878841709964427187559520528612928482928411051679911046060505848890544952607507520878924045913611649654900794340552312042080594090753873382994107126507662124950815235290056448471234584493331255854096852572804267101135909686396569683829002254798673735039201981619671473301296978738975200622989109831317590135264519353505146986914122941384349843484313144891250326722467533616041801161247444759427132586591504772956401060050916477318765299825097610710273988400053433470518892706124070996801833648708171543294301642951574805951717317482032343975386681354169113261579127316715488343527541575518747786223188997330969712746082651257440167709870924855468326884586832391532072541884597458147149747595805947190007612768311280442608871027585111143112723566753866850102177370643842398735936038711446546461869348624211036695247864633961725701350985911788132666161102332454586557728972813682772466357824472948814051751047634090009665269681846795389965566951512381879717390596921383887434956660524793486529018819062067720520687311891796420806}
19326  21427706314232900385091894257751143673407326303506740119259768846031796: {135233,193190,231828,328253,713693,887846,1004068,1021469,1136753,1290353,1699192,1712093,1911591,2056433,2171069,2838423,2933752,3123569,3300471,3379075,4054890,4325216,4341686,4561793,4783672,4827250,4865868,4900733,4921755,5249872,5381631,5620708,5792700,5906106,5951069,6025853,6178880,6398438,6585713,6697469,6951240,6957953,7006263,7180913,7246648,7414656,7737053,7820145,7918228,8152479,8169208,8341488,8376868,8390715,8623133,8781955,8807153,8950096,9174593,9190359,9384174,9398392,9574646,9833969,10068858,10403239,10538346,10573191,10665748,10672733,10818173,10933432,11152166,11362433,11471069,11826086,12085313,12300111,12545650,12773368,13199453,13628669,13692472,13735793,13807169,13858084,14341469,14370039,14590193,14640351,14861770,14980253,15054780,15227969,15404031,15528952,16058432,16285169,16355393,16446328,16723563,16751992,17044215,17090813,17363128,17403519,17404913,17470071,17834124,18065736,18180496,18274013,18394084,18502119,18551069,18654833,18845991,19000193,19516733,19533519,19592726,19928669,19997213,20099969,20202653,20323953,20453058,20651284,20718475,21024568,21231100,21329272,21632669,21738703,22214966,22241213,22376093,22578173,23048573,23082113,23149169,23652639,23799268,23821915,23995431,24068728,24384326,24549953,24862170,24980728,25475969,25477320,26480972,26486308,26519648,26526593,26559293,26722673,27077319,27083343,27175808,27409912,27439169,27656755,27713272,27810939,28022513,28103319,28219807,28313213,28571069,28586298,28661985,28667633,29277533,29437553,29469533,29834604,29840083,29948273,30381926,30440632,30572784,30710513,30805469,30833655,30836151,30941668,31055290,31177431,31342193,31694215,31863686,31914183,32242075,32310759,32496566,32751773,32889232,33188106,33218033,33548486,33620669,33683991,33867773,34055391,34245711,34394382,34544669,34636673,34926868,35015126,35065073,35578168,35641526,35704733,35858251,35977793,36058406,36482872,36732893,36784312,36823169,37000386,37098086,37266348,37721969,37829960,37993075,38033058,38290552,38690490,38761469,39056669,39115613,39149103,39220555,39416955,39509650,39644669,39732593,39784406,39849713,40025439,40314010,40375169,40462493,40607873,40634103,40955969,40997752,41043231,41158493,41269856,41302913,41382351,41557719,42044752,42107969,42558705,42622193,42628690,42853766,43076871,43099768,43190513,43260566,43952669,43964823,44364700,44569373,44792669,44987633,45154433,45277450,45395952,45566455,45591690,45625469,45793371,46092038,46122471,46163823,46231613,46293206,46428588,46606075,46695928,46724669,47064666,47176084,47294392,47300346,47350913,47411580,47757053,48042388,48376812,48403133,48483569,48487239,48631136,49094438,49339684,49473475,50015623,50418653,50498602,50572352,50665125,50784355,50784893,51070446,51154428,51275606,51346555,51388215,51434993,51977213,52285469,52336733,52339075,52362353,52532919,52669048,53047238,53097115,53127233,53206191,53237640,54010493,54042800,54236033,54311069,54332940,54483711,54679746,54710028,54759773,54767739,54814096,54931348,54983153,55600253,55747613,55866055,55870193,55927290,56114753,56502555,56528669,56537848,56786816,56893896,57069028,57133169,57325553,57541373,57780413,57955136,58042433,58610753,58868438,59250711,59252679,59368170,59384669,59617469,59655776,59826038,59892345,60269392,60315625,60594715,60655169,60683194,60692152,60798150,60825919,60929153,60941226,61322788,61383233,61451069,61518833,61609073,61615866,61665858,61856573,61876792,61946333,62348669,62415473,62726273,62792669,62806890,62858993,63013469,63277373,63326048,63605079,63651832,63716538,63736433,63885168,63997169,64005633,64030263,64105469,64321469,64560038,64580395,64851360,65126548,65199528,65219933,65642813,66166913,66271133,66428438,66511123,66541169,66851069,66994016,67039266,67112748,67171766,67200113,67404353,67769969,67803066,67917955,68173169,68278671,68313533,68398215,68467046,68473469,68686855,69068669,69174784,69204038,69255655,69387926,69551992,69559169,69611391,69617693,69656669,69883898,70467773,70582493,70715969,70868033,71038493,71227133,71241804,71367919,71450890,71608311,71620673,71657969,71832236,71843969,71870814,71930215,72140860,72293023,72342173,72378750,72682779,72713658,72725633,72957780,72958096,73033469,73159553,73349469,73466103,73577606,73819915,73911268,74311613,74741284,75140669,75311069,75362033,75368268,75554438,75565169,75570148,75615773,76200833,76267073,76563569,76612733,76976751,77154519,77180993,77204000,77236555,77245313,77325533,77496474,77612669,77821632,78049828,78054173,78222038,78245991,78551069,78646648,78658673,78673015,78750593,78826973,78887933,78979133,79055643,79415873,79697188,79808650,79860593,79925131,80020191,80167613,80240955,80442353,80682566,80983169,81031766,81123569,81191138,81374273,81498653,81501546,81749908,81813569,81902246,81908573,82077858,82150648,82177853,82217969,82351169,82370743,82417469,82422806,82424226,82457153,82509953,82549469,82901873,82919463,83106786,83197469,83558695,83763569,83795428,83800733,84216893,84433469,84469313,84481528,84528893,84812093,85056113,85307969,85342013,85567133,85590352,85645432,85741068,85833053,85996913,86007773,86191169,86258359,86266013,86316258,86517688,86569032,86582333,86854500,86894170,86952413,87053284,87193373,87341633,87371069,87400433,87448207,87449213,87549336,87557126,87565469,87709169,87894806,87954055,88220669,88329053,88477479,88515953,88583898,88638593,88690673,88736486,88778755,88853693,88896113,88904573,89047169,89146433,89317373,89397533,89574566,89957623,89987969,90000952,90010013,90190913,90205169,90349755,90359873,90380669,90637853,90736193,90781469,90832733,90870328,90889793,91135553,91259453,91275548,91328669,91357169,91430333,91657469,91699133,91719773,91745393,91750493,91789383,91835969,91885169,91902038,91943153,92083073,92105693,92185469,92237213,92307988,92373569,92385533,92419479,92444273,92471069,92482433,92516093,92539495,92607352,92644800,92645311,92683866,92694593,92710973,92733569,92739953,92780669,92891933,92951069,93008753,93018353,93059969,93092669,93117533,93146993,93183473,93208733,93255233,93291773,93302813,93305969,93314033,93323393,93335153,93346013,93358193,93367793,93372413,93373373,93547238,93710966,94224471,94407618,95013399,95015890,95041719,95075239,95178038,95340326,95770380,95785912,96289146,96351111,96373072,96918715,96955286,97025650,97332399,97390161,97964659,98380792,98493003,98548303,98555846,98821120,98936650,99834140,...,41221415799079259519743599670091811474983150922292672232860830845277131479912447859736414241296420160353452223533770276894987931436845868690559971901587968438035813024781091133455850657561844675068919888481584677687302147976807545505084946743062180656875683519502062390941722801311212412015476612365993872347143200355933904619927116995673201677154203727034902419583983930537420635792441477981090770318473615380745918617790174206430247212712276394443194632666977123122820627664223387328636463332174224768255573259148334227614930710622049797016461040873413473347942360568164262557680897415041332594121336395901708533790283821239761098763633757023698597422902308890223306742994647451695190344463990865107673256935721695072170004543564417209248899008490080095529640858098519804663030438396942749598531990172396221718266010368388151011579502493300604256585102733211190848560855739794881275598780802248423370532165506914681892794445400287965915194079407049621239702883744077468615111693121057499514945784407186851980100213680450665727011920799681197542154252338478061528312293107257925498943859861558688516598494917858230044925808684783936092831942039954934112210818771422603426928975519460961296128372313120675064168726059514709247063868484594296578281666051919726128516859811049070627137091341890091633511695597612064677343233855233917359352911972842135326591653938140745015656324195010352267553319914157799579186063765964304805780701536519404746486329709611546941711571779828457040138190301189235628081411274075870087759033499899376336912025041038808892455728094877341314051326356417689054718640618919341306370012552119625308949408030521054735675202312045404858681126880115561947498397305989173961239556846311062390504073252696471567043609123367283204455074942978034926626991422027145769023958785834032764662397361860794312629533245504536253071597965434987648612098603331566672664227372294862046504077704506224707749529652033932519161875132163237922261490451984325898444689596923075108932761774115532074224152790986576004889533502855207037328627604540318262564946640781339280792919392724392616577519866569090758773335817428911261281318386068870417474482351191510828468063120891136130810074491160689761493187426222852935084672706851876739996883781145278859206400651703864529594854525743503382198010602558802972429507209951945468108462800934483664746976385202896779030257720480371184412076524765226469717336875490083701300424062701741871167139140698879887257159434601590076374715978147949737646416065410982600080150205778339059186106495202750473062257314941452464427362208927575976223048515963080022031253669892368690975073232515291312363278121679334783495996454569119123976886160251564806387283202490326880248587298108812826896187220724621393708920785011419152466920663913306541377666714669085350130800275153266055965763598103904058067169819692804022936316555042871796950942588552026478867682198999241653498681879836593459220524158699536736709423221077626571451135014497904522770193084948350427268572819576085895382075831152434990787190229793528228593101580781030967837694631209}
19327  21512291918318356191604674344473784882375890693233381030848027085462092: {289785,309104,347742,1255085,1331769,1486793,1506102,2123990,2548788,2567033,3261869,3667190,3784564,4185713,4400628,4593638,5406520,5520086,5979590,6082335,6340817,6487824,6512529,6562340,6963329,7025885,7148057,7175508,7240875,7298802,7723600,7831334,7874808,8223593,8431062,8689050,8859159,9058310,9116129,9268320,9341684,9566753,9597657,9886208,9897785,10211510,10272509,10426860,10471085,10869972,11121984,11176697,11187620,11534822,11747990,11772137,11877342,11980913,12122717,12253812,12460694,12512232,12565302,13332185,13425144,13587833,13666790,13741649,14051128,14076261,14084177,14097588,14186513,14361969,14390537,14657993,15008993,15103287,15192737,15807519,15907934,15966710,15998622,16396217,16400148,16716953,16728249,17115590,17321033,17322605,17384246,17739129,18396497,18663113,18818475,19160052,19411190,19520468,19922078,19961213,20073040,20506673,20538708,20557910,20750249,20787126,20939990,21060137,21578129,21703910,21768329,21858137,22090073,22292655,22298084,22582170,22725620,22992605,23029193,23204692,23293428,23778832,23873117,23983673,24087648,24249113,24669492,25127988,25226669,25710182,25723529,25814105,25827233,25950713,26044692,26280710,26538875,26538902,26635553,26661590,26716937,26751186,26858198,27098604,27270744,27591126,28045793,28778078,29200733,29389089,29644217,29749085,30085910,30679587,30976926,31130897,31225910,31536852,31682237,31846650,31922513,31993908,32186273,32288849,32407094,32499329,32668649,33101215,33107885,33149560,33322449,33504233,33631457,33969760,34030253,34262390,34396574,34641590,35115806,35184473,35405873,35698902,35873033,36103092,36111124,36576489,36789158,36858233,37081252,37293255,37365833,37471092,37616969,37712297,37723757,38050790,38094302,38115064,38215980,38613494,38677085,38877977,39099437,39721458,39729462,39779472,40763712,40858937,41111540,41114868,41329814,41382593,41416097,41569908,41981273,42552244,42691286,42850817,42879447,43048109,43081012,43532126,43658585,43827449,44030729,44250808,44472710,44751906,44911988,45213278,45407188,45572889,45603590,45660948,45859176,45980390,46085417,46283753,46412502,46438118,46582935,46929062,47287450,47795529,47863190,47962334,47974589,48080153,48744849,49333848,49435049,49470617,49688464,49782159,50322729,50448086,50488313,50710744,51247190,51587320,51591573,52198804,52390302,52472774,52522689,52555940,52735718,52794593,52992113,53105633,53367252,53462289,53874710,54087609,54142193,54178804,54724308,54961433,55100873,55176468,55285406,55410292,55455875,55500579,55647129,55695353,55899522,56153753,56325737,56744940,57049587,57435828,57504509,57796349,58035735,58156694,58369910,58619764,58657289,58970105,58984697,59117990,59264475,59676609,59755709,60052985,60303329,60471015,60501737,60527936,60734393,60788920,60857993,61057828,61496628,61551764,61674605,61904784,62115629,62211473,62752888,62808446,63067128,63215440,63357878,63659486,63838334,63943035,64193393,64280649,64502416,64649652,64890849,65135369,65330486,65829014,65836310,65899217,65956838,66168278,66547050,67198049,67553500,67916175,68093928,68204057,68205904,68387535,68517620,68552237,68664185,68815817,69125993,69138057,69439809,69642882,70015049,70043892,70355153,70596999,70672310,70764126,70941588,70950519,70983520,71117370,71336285,71759609,71881817,72063582,72358817,72443920,72565218,72644948,72850646,72906328,72946704,73023652,73378142,73641657,73921337,74009526,74139398,74237462,74282333,74569720,74891558,74939753,75336740,75702977,75747903,75858528,75865190,75945497,76605669,76653485,76731642,76913409,77315069,77345990,77356973,78125693,78658022,78750833,79000948,79003572,79157560,79511537,79564790,79570857,79856460,81009809,81031433,81064200,81187766,81254968,81408185,81499410,82019619,82065042,82154488,82221144,82296353,82397022,82547513,82619273,82823558,83012729,83311769,83577926,83742520,83812673,83890935,84326438,84806772,84952649,84955384,84962558,85180224,85340844,85373684,85603542,86083193,86087222,86468480,86592329,86932704,86939990,87148973,87455297,88302657,89052255,89103497,89385688,89483664,89739057,89790295,90046937,90176075,90396137,90404088,91024791,91038228,91197225,91197620,91411839,91984182,92389085,92423799,92491382,92498787,92815188,93026033,93149513,93426605,94210335,94462685,94619777,94804193,94954886,94989072,95287934,95320478,95369897,95477748,95574807,95827752,96505000,96840057,96910372,96951544,97123529,97277040,97562285,97630637,97689822,97799292,97809206,97866449,97954804,98021513,98308310,98352038,98593469,98859806,99146534,99425489,99621485,99642657,...,54961887732105679359658132893455748633310867896390229643814441127036175306549930479648552321728560213804602964711693702526650575249127824920746629202117291250714417366374788177941134210082459566758559851308779570249736197302410060673446595657416240875834244692669416521255630401748283216020635483154658496462857600474578539493236155994230935569538938302713203226111978574049894181056588637308121027091298153840994558157053565608573662950283035192590926176889302830830427503552297849771515284442898966357674097678864445636819907614162733062688614721164551297797256480757552350076907863220055110125495115194535611378387045094986348131684845009364931463230536411853631075657326196602260253792618654486810231009247628926762893339391419222945665198677986773460706187810798026406217373917862590332798042653563194962291021347157850868015439336657734139008780136977614921131414474319726508367465041069664564494042887342552909190392593867050621220258772542732828319603844992103291486815590828076666019927712542915802640133618240600887636015894399574930056205669784637415371083057476343900665258479815411584688797993223810973393234411579711914790442589386606578816281091695230137902571967359281281728171163084160900085558301412686278996085157979459062104375554735892968171355813081398760836182788455853455511348927463482752903124311806978556479137215963789513768788871917520993354208432260013803023404426552210399438914751687952406407707602048692539661981772946148729255615429039771276053517587068252314170775215032101160117012044666532501782549366721385078523274304126503121752068435141890252072958187491892455075160016736159500411932544040694739647566936416060539811574835840154082596664529741318898614986075795081416520672097670261962089391478831156377605940099923970713235502655229369527692031945047778710352883196482481059083506044327339381670762130620579983531482798137775422230218969829726482728672103606008299610332706202711910025549166842884317229681987269312434531259586129230766811910349032154042765632203721315434673186044670473609383104836806053757683419928854375119041057225856965856822103359822092121011697781089905215015041757848091827223299309801588681104624084161188181507746765988214253015324249901630470580112896942469168986662511708193705145608534202271819372793139367658004509597347470078403963239342946602593957477950401245978219662635180270529038707010293973828245882768699686968626289782500653444935067232083602322494889518854265173183009545912802120101832954637530599650195221420547976800106866941037785412248141993603667297416343086588603285903149611903434634964064687950773362708338226523158254633430976687055083151037495572446377994661939425492165302514880335419741849710936653769173664783064145083769194916294299495191611894380015225536622560885217742055170222286225447133507733700204354741287684797471872077422893092923738697248422073390495729267923451402701971823576265332322204664909173115457945627365544932715648945897628103502095268180019330539363693590779931133903024763759434781193842767774869913321049586973058037638124135441041374623783592841612}
19328  21597209037590951172725432456774748098248239822082345414233218034280054: {270466,366871,386380,463656,521613,656506,1175287,1427386,1520671,1775692,1865407,2008136,2042938,2094871,2259153,2273506,2580706,3185985,3398384,3424186,3823182,4112866,4342138,4599967,4730705,5277127,5500785,5676846,5867504,6247138,6600942,6623671,6758150,6890457,7737871,8109780,8202925,8280129,8650432,8683372,8969385,9123586,9567344,9654500,9731736,9801466,9843510,10163767,10499744,10710247,10763262,10948203,11241416,11585400,11677105,11747001,11812212,11902138,12051706,12294737,12357760,12646593,12796876,12878167,13033575,13171426,13394938,13587465,13902480,13915906,13984525,14012526,14361826,14493296,14591767,14829312,15017287,15317265,15474106,15640290,15836456,16181527,16304958,16338416,16682976,16753736,16781430,17246266,17302233,17563910,17614306,17621985,17816013,17900192,18349186,18380718,18691041,18691447,18768348,18796784,18847953,19002271,19149292,19667938,20137716,20341687,20500185,20546671,20806478,21076692,21146382,21331496,21345466,21636346,21770527,21866864,22277407,22304332,22724866,22942138,23084671,23652172,23861901,23950065,23997933,24170626,24400585,24600222,25082671,25091300,25546736,25673385,25873807,26076369,26398906,26562271,27257338,27384944,27471586,27614338,27716168,27831487,27872605,28025671,28407025,28682938,28703047,28740078,29005865,29116785,29180386,29280702,29472871,29723540,29883117,29960506,30109560,30455938,30714007,30808062,30836865,30903871,31057904,31180689,31188127,31377271,31409985,32037007,32116864,32506087,32555865,32570338,32710786,32786671,32892656,33350681,33447126,33503984,33873255,33902527,34088430,34181626,34456567,34726256,34807038,34809826,34824487,34940142,35099671,35668248,36012271,36131472,36360992,36548026,36737167,36788168,37004238,37097887,37102138,37309666,37691982,37994647,38000386,38440327,38565273,38719457,38884207,38972767,39033466,39067038,39185452,39421065,39677473,39766567,39808353,39854407,39857338,39992385,39994426,40126779,40199938,40287297,40405306,40647906,40906116,41302568,41386689,41436950,42049136,42377933,42462200,42658544,43167117,43265338,43477406,44371901,44429932,44482426,44490847,44574727,44752186,45128865,45138905,45156346,45824287,46097146,46164226,46298338,46351565,46465389,46838865,46975927,47305278,47598536,47643830,47769975,47870887,47990862,48137456,48610641,48768652,49099906,49724340,49793287,49961456,50030671,50951938,50954640,51389425,51393585,51441367,51594861,51829087,51962385,52368871,52522447,52673709,52961944,52972616,53039296,53053186,53118586,53190305,53445346,53548353,53851265,54042367,54154638,54166686,54351616,54819824,54878338,54908777,55014871,55183737,55313510,55426544,55533487,55621878,55901767,56045026,56139985,56206638,56439614,56626426,56758985,57076185,57141453,57142138,57172596,57323970,57335266,57920241,57930871,58144927,58555066,58641871,58875106,58939066,59582187,59594193,59669208,59680166,59896546,59903527,60042271,60763852,60881264,60937087,61145568,61421026,61549447,61610938,61667310,61672302,61883336,61887127,61954447,61994721,62110580,62354862,62557087,62684386,62756671,63388430,63727372,63793037,63828366,64036929,64484150,64588207,64621518,64993132,65248505,65298189,65503546,65694925,65778464,66113167,66376212,66436066,66709065,66798247,67096972,67127859,67229671,67241338,67352287,67367982,67657567,67718407,67723505,67735546,67819917,68110782,68405385,68491422,68788764,68970585,69089338,69262865,69273346,69618753,69657177,69853736,70030252,70130146,70393593,70782871,70931175,71098097,71156336,71283052,71409466,71518567,71716502,71794785,71885177,71943501,71955586,72116812,72352327,72626647,72965744,73274705,73277671,73465786,73568624,73646338,74000772,74196172,74335961,74532696,75270847,75443938,75626671,75659920,75672129,75986150,76066116,76228447,76322285,76581104,76623871,76870785,76939705,77208367,77256607,77352871,77380980,77522938,77687527,77971567,78113338,78212477,78231226,78298206,78392767,78441110,78585453,78709161,78833910,78853927,79019300,79103577,79289338,79465186,79568812,79699426,80050878,80237767,80540671,80628020,80750338,80812065,80924986,81051727,81215746,81268206,81593671,81911938,81995504,82086462,82316986,82483087,82539712,82605826,82764702,82875847,82928109,83115438,83564671,83677207,83826247,83849283,84047647,84089504,84215938,84441875,84554167,84660871,84832601,85081207,85117410,85244386,85257380,85423567,85437209,85592047,85647025,85707532,85791847,86021671,86153742,86199536,86381026,86439127,86502271,86521132,87235041,87414871,87554865,87903247,87905338,87929646,88125871,88662271,88676985,88729400,88740247,88919671,89138746,89292271,89585338,89694967,89975266,90308866,90412553,90554900,90660487,90680287,90791904,90806185,90912271,91132910,91151887,91183380,91187671,91250938,91275871,91279565,91446871,91586742,91767271,91842871,91945687,91960087,92127271,92184076,92244942,92258671,92327646,92346367,92418727,92442271,92463226,92522407,92577487,92586412,92852671,92857176,92912647,92961247,93129727,93165367,93212150,93273871,93321607,93333847,93369487,93379207,93391807,93391856,93392671,93449338,94129332,94170925,94212669,94352168,94456973,94588784,94600692,94701826,94823160,95036817,95085137,95489229,95514106,95757501,96084776,96161597,96753624,96806266,96957917,96967138,96974478,97262272,97995729,98188876,98679368,98743521,98751185,98754465,98935257,98946950,99252417,99820575,...,82442831598158519039487199340183622949966301844585344465721661690554262959824895719472828482592840320706904447067540553789975862873691737381119943803175936876071626049562182266911701315123689350137839776963169355374604295953615091010169893486124361313751367039004124781883445602622424824030953224731987744694286400711867809239854233991346403354308407454069804839167967861074841271584882955962181540636947230761491837235580348412860494425424552788886389265333954246245641255328446774657272926664348449536511146518296668455229861421244099594032922081746826946695884721136328525115361794830082665188242672791803417067580567642479522197527267514047397194845804617780446613485989294903390380688927981730215346513871443390144340009087128834418497798016980160191059281716197039609326060876793885499197063980344792443436532020736776302023159004986601208513170205466422381697121711479589762551197561604496846741064331013829363785588890800575931830388158814099242479405767488154937230223386242114999029891568814373703960200427360901331454023841599362395084308504676956123056624586214515850997887719723117377033196989835716460089851617369567872185663884079909868224421637542845206853857951038921922592256744626241350128337452119029418494127736969188593156563332103839452257033719622098141254274182683780183267023391195224129354686467710467834718705823945684270653183307876281490031312648390020704535106639828315599158372127531928609611561403073038809492972659419223093883423143559656914080276380602378471256162822548151740175518066999798752673824050082077617784911456189754682628102652712835378109437281237838682612740025104239250617898816061042109471350404624090809717362253760231123894996794611978347922479113692622124781008146505392943134087218246734566408910149885956069853253982844054291538047917571668065529324794723721588625259066491009072506143195930869975297224197206663133345328454744589724093008155409012449415499059304067865038323750264326475844522980903968651796889379193846150217865523548231064148448305581973152009779067005710414074657255209080636525129893281562678561585838785448785233155039733138181517546671634857822522562636772137740834948964702383021656936126241782272261620148982321379522986374852445705870169345413703753479993767562290557718412801303407729059189709051487006764396021205117605944859014419903890936216925601868967329493952770405793558060515440960742368824153049530452939434673750980167402600848125403483742334278281397759774514318869203180152749431956295899475292832130821965200160300411556678118372212990405500946124514629882904928854724417855151952446097031926160044062507339784737381950146465030582624726556243358669566991992909138238247953772320503129612774566404980653760497174596217625653792374441449242787417841570022838304933841327826613082755333429338170700261600550306532111931527196207808116134339639385608045872633110085743593901885177104052957735364397998483306997363759673186918441048317399073473418846442155253142902270028995809045540386169896700854537145639152171790764151662304869981574380459587056457186203161562061935675389262418}
19329  21682458962061996261314882755736692178752034993672005316331741549598942: {405699,482975,579570,618208,695484,984759,1757119,2141079,2219615,2510170,2663538,2973586,3012204,3064407,3410259,3609287,3871059,4247980,5097576,5134066,5136279,5734773,6153191,6169299,6513207,6523738,7334380,7541999,7569128,8371426,8515269,8801256,9187276,9370707,9836239,9901413,10137225,10773607,10813040,10854215,11040172,11959180,12068125,12164670,12499091,12681634,12975648,13025058,13124680,13548919,13685379,13856899,13926658,14051770,14296114,14351016,14481750,14597604,14659519,14702199,14765265,15447200,15662668,15741139,15749616,15996095,16144893,16447186,16765879,16862124,17352359,17378100,17718318,17853207,18077559,18116620,18232258,18515587,18536640,18665059,18683368,19133506,19195314,19756399,19757139,19772416,19795570,20092407,20423020,20545018,20818979,20853720,20873859,20942170,21018789,21542739,21739944,22243968,22309591,22353394,22375240,22611347,22898951,23069644,23211159,23460435,23495980,23544274,23754684,23936615,23961826,24235159,24245434,24251647,24457437,24507624,24921388,25024464,25130604,25172145,25726207,25869399,26345865,26421459,26664370,26681719,26850288,27175666,27216319,27333580,27483298,27523779,27571077,27880415,28102256,28152522,28168354,28195176,28373026,28723938,28781074,28865731,28905767,29315986,29501907,29565215,30017986,30206574,30385474,30625159,31209717,31364125,31615038,31719573,31815868,31933420,31997244,32018199,32189647,32454519,32792434,32800296,32985287,33433906,33456498,34087299,34231180,34413207,34642066,34645210,34768492,35409559,35478258,36139747,36255939,36377167,36792994,36900333,37154425,37326226,37588099,37636950,37684691,38320104,38822380,39040936,39598359,39844156,39922426,39942787,40146080,40886007,41013346,41077416,41115820,41207379,41421507,41435207,41500498,41574252,41648719,41879980,42120274,42716087,43024407,43110117,43156258,43404367,43407820,43536658,43716274,43770579,43921053,44180146,44585310,44596168,44940759,45164340,45451240,45683907,45985210,46058386,46212093,46288579,46341701,46351039,46409384,46586856,47067331,47557664,47746234,47967346,48175296,48498226,48539879,48855507,48981815,49066179,49338984,49583591,50158691,50170689,50255976,50453338,51132645,51272439,51420364,51447058,51628210,51654466,51901426,51910519,52089384,52210557,52214739,52410213,52561420,53077750,53077804,53271106,53323180,53433874,53502372,53716396,54147919,54197208,54541488,54822039,55182252,55369939,55506357,55537415,55653207,55964499,56091586,56159599,56287799,56537973,56821999,57000579,57556156,58401466,58550199,58600557,58778178,58843367,59288434,59498170,59786007,59991639,60171820,60299907,60309607,60607959,60960815,60971859,61122019,61359174,61953852,62085887,62155425,62261794,62451820,63073704,63364474,63693300,63845026,63987816,64107107,64372546,64577698,64814188,64898007,64998658,65216109,65246179,65337298,65651039,66202430,66215770,66256487,66299120,66644898,66723639,66873491,67008466,67128279,67262914,67734519,67939520,68060506,68524780,68793148,69145719,69246339,69283180,69447507,70231612,70368946,70811746,70957917,71397804,71465745,71469247,71746066,71986293,72206184,72222248,73152978,73512899,73578316,73649859,73716466,74162504,74586510,74731666,74869091,74942184,75233938,75424594,75447514,75571919,75864919,75954815,76101580,76134599,76188604,76230128,76427907,76431960,77226988,77354170,77365039,77493599,77638225,77755954,78198874,79442916,79458924,79558944,79579779,79659215,79677879,80168019,80871619,81231957,81241415,81250029,81527424,81717874,82223080,82229736,82317507,82558147,82659628,82765186,82832194,82970265,83021431,83139816,83146999,83432817,83442887,83871215,83962546,84067539,84074179,84147047,84309957,84659421,84939639,84961507,85104488,85382572,85701634,85713207,85758894,85985955,86002899,86096218,86162024,86344447,87064252,87105491,87316951,87317170,87537815,87654898,87832599,88061458,88312659,88408599,88501616,88945420,89103815,89503812,89520249,89823976,89844819,90146015,90426556,90814376,90911087,91052207,91145778,91207180,91321896,91718352,91960780,92131539,92170834,92416407,92500965,92508453,92567506,92745215,92825004,92876236,93159247,93165870,93193991,93532293,93858124,94026579,94574900,95082645,95591058,95726380,95742549,95924668,95949178,96129859,96160306,96726225,96932277,97489698,97640959,98255319,98667696,98774125,98870098,98941234,99257111,99262691,99376928,99461015,99564318,99611459,99654099,99870799,...,123664247397237778559230799010275434424949452766878016698582492535831394439737343579209242723889260481060356670601310830684963794310537606071679915704763905314107439074343273400367551972685534025206759665444754033061906443930422636515254840229186541970627050558506187172825168403933637236046429837097981617041429601067801713859781350987019605031462611181104707258751951791612261907377324433943272310955420846142237755853370522619290741638136829183329583898000931369368461882992670161985909389996522674304766719777445002682844792131866149391049383122620240420043827081704492787673042692245123997782364009187705125601370851463719283296290901271071095792268706926670669920228983942355085571033391972595323019770807165085216510013630693251627746697025470240286588922574295559413989091315190828248795595970517188665154798031105164453034738507479901812769755308199633572545682567219384643826796342406745270111596496520744045678383336200863897745582238221148863719108651232232405845335079363172498544837353221560555940300641041351997181035762399043592626462757015434184584936879321773776496831579584676065549795484753574690134777426054351808278495826119864802336632456314267810280786926558382883888385116939362025192506178178544127741191605453782889734844998155759178385550579433147211881411274025670274900535086792836194032029701565701752078058735918526405979774961814422235046968972585031056802659959742473398737558191297892914417342104609558214239458989128834640825134715339485371120414570903567706884244233822227610263277100499698129010736075123116426677367184284632023942153979069253067164155921856758023919110037656358875926848224091563164207025606936136214576043380640346685842495191917967521883718670538933187171512219758089414701130827370101849613365224828934104779880974266081437307071876357502098293987192085582382937888599736513608759214793896304962945836295809994700017992682116884586139512233113518674123248588956101797557485625396489713766784471355952977695334068790769225326798285322346596222672458372959728014668600508565621111985882813620954787694839922344017842378758178173177849732559599707272276320007452286733783843955158206611252423447053574532485404189362673408392430223473482069284479562278668558805254018120555630219990651343435836577619201955111593588784563577230510146594031807676408917288521629855836404325388402803450994240929155608690337090773161441113553236229574295679409152010626470251103901272188105225613501417422096639661771478303804770229124147934443849212939248196232947800240450617335017177558319485608251419186771944824357393282086626782727928669145547889240066093761009677106072925219697545873937089834365038004350487989363707357371930658480754694419161849607470980640745761894326438480688561662173864181126762355034257457400761991739919624133000144007256050392400825459798167897290794311712174201509459078412068808949665128615390852827765656079436603046596997724960496045639509780377661572476098610210128269663232879714353405043493713568310579254845051281805718458728257686146227493457304972361570689380584685779304742343092903513083893627}
19330  21768042986726638677818580289257539922541741247748551092328740880227288: {212509,540932,559729,733742,772760,790849,869355,927312,1043226,1313012,1367389,2350574,2854772,2857969,3041342,3200221,3314161,3551384,3655549,3730814,3765255,3995307,4016272,4085876,4189742,4460379,4518306,4547012,4788829,4901761,5161412,5309975,5577841,6027121,6371970,6622987,6796768,6848372,7256701,7646364,7701099,7923709,8145469,8225732,8684276,8698609,9167975,9199934,9249949,9461410,9785607,10456561,10554254,11001570,11002141,11219869,11353692,11484095,11545921,11735008,12304189,12494276,12557139,13201884,13247342,13516300,13780914,13800215,13810141,14948975,14983489,15301981,15475742,16219560,16347947,16358941,16405850,16560258,17094529,17300864,17366744,17930881,17938770,18247005,18247172,18658909,19022451,19134688,19309000,19383409,19463472,19537587,19578335,19602932,19687020,20001601,20327534,20889987,20999488,21077655,21420494,21433969,21444171,21526524,21535741,21722625,21896406,22482832,22645775,23154301,23170800,23254849,23354210,23494002,23624424,23804276,24103412,24589474,24654961,24670779,24715520,25250689,25293186,25528775,25547581,25593752,25745149,25756334,26067150,26342852,26577477,26630641,26789876,27120061,27174930,27348387,27804960,27831812,27969050,28025052,28093501,28384129,28700259,28723652,28792971,28837055,28986592,29183534,29369975,29658624,29693355,30034574,30305089,30495601,30634530,30817527,30948212,31151735,31280580,31413255,31672912,31726909,32291101,32363054,32609916,32676832,33318721,33365952,33507472,33530091,33562860,34160819,34166975,34337629,34492532,34604466,34614001,34705981,35127820,35228612,35243970,35256349,35316411,35632026,35800384,35942739,36167869,36368151,36698372,36761436,36801649,37382082,37382894,37536696,37593568,37695906,37790461,37879921,38004542,38237041,38298584,39021647,39124801,39301489,39335876,39769835,39916775,39917629,39996555,40275432,40530241,40608211,40617469,40683374,40763499,41000370,41093342,41224947,41226049,41312701,41485789,41612956,42153384,42228783,42252531,42292764,42559539,42662992,42689341,42690932,42788975,43085907,43171611,43272692,43460615,43541054,43733728,43973979,44300161,44345411,44554814,44608664,44887069,45026979,45054109,45309861,45449732,45578211,45884276,45967681,46169342,46297729,46790641,46872541,46891559,47304344,47362429,47422557,47606401,47687581,47723802,47768689,47900130,47995866,48341252,48527975,48575809,48801170,49136509,49188651,49200444,49805195,50150859,50165342,50182600,50184747,50797441,51093472,51346770,51394775,51499549,51654781,51747614,51963099,51967815,52152738,52349761,52349975,52797812,53124542,53191261,53217387,53267329,53646589,53797789,54249661,54259775,54514676,54769888,54773569,54943172,55189491,55228676,55432336,55662974,55737181,55745210,55810801,55884349,55989339,56051342,56104561,56397169,56455425,56543041,56814050,57340189,57365876,57406094,57480156,57842929,58011730,58233570,58360772,58555009,58561404,58767229,58945742,59049181,59400001,59447080,59749021,59766234,59883639,59921012,60219120,60372721,60510529,60716701,60911876,61331329,61428014,61520019,61616124,61673730,61807742,62115808,62250747,62361378,62376254,62754542,62819970,63074161,63180411,63194467,63862129,64074014,64122481,64233728,64275455,64734387,64892191,65012174,65111730,65140676,65304987,65406961,65421572,65573342,65574411,65597149,65701775,65785312,66226429,66270219,66347255,66351421,66653975,66701362,66877965,66894252,66910321,67007968,67145495,67218301,67585501,67746510,67805054,68176860,68363252,68492161,68671549,68790781,68913134,68977815,69087579,69452512,69614076,69617341,69619652,69648974,69675841,69880284,70199342,70887709,71114941,71336496,71619351,71677981,71733889,71945195,71951019,72024542,72262944,72399169,72454141,72721984,72747339,73054081,73096052,73216189,73474334,73576336,74008476,74122561,74175229,74195774,74204276,74332801,74466427,74619332,74646001,75213469,75214775,75366721,75383964,75391771,75680007,75822589,75989294,76000772,76073329,76322269,76667761,76880654,77130546,77170587,77203549,77300029,77438914,77442315,77481699,77768414,77778109,77825521,77852139,77945534,78064775,78066932,78134076,78370904,78528061,78595979,78804541,78842130,78941809,78987421,79078429,79354946,79462579,79533134,79616625,79616706,79708814,79714676,79906659,79984770,79988852,80150811,80253558,80399876,80574594,80624449,80710129,80795521,80810612,81007741,81017735,81295812,81426781,81551089,81812232,82001341,82243261,82283329,82605136,82680049,82773378,82873900,83527489,84098272,84137379,84376189,84555649,84733309,84755866,84924400,84979009,85152349,85221181,85317088,85357981,85392001,85527361,85655975,85860721,85991435,86219101,86315329,86334234,86530676,86603975,86724829,86848381,86954812,86970781,87271741,87390109,87478129,87602199,87789515,88048369,88167267,88430401,88720669,88743802,88798321,88824061,88849729,88859864,88900849,88926301,88932651,88964852,88981694,89149454,89247255,89347969,89444161,89504372,90085249,90236701,90257730,90277810,90312692,90321661,90363709,90426241,90669889,90865009,90922141,91015921,91180189,91347907,91373041,91390141,91474561,91648574,91928701,91972895,92038761,92194292,92271601,92328452,92408221,92479069,92558449,92596676,92703130,92716669,92775421,92930778,92968669,93007729,93022849,93044989,93133441,93158209,93220381,93230749,93273841,93295261,93375361,93377629,93381949,93384001,93392691,93396349,93406141,93677730,93951854,94610556,94812907,95046711,95126975,95197072,95235755,95287660,95539950,95583587,95741774,95767539,95981724,96274912,96533735,96558819,96866547,96968011,97221282,97497987,97537304,98005947,98199812,99303645,99323655,99448680,99586574,99922912,99967347,...,164885663196317038078974398680367245899932603689170688931443323381108525919649791438945656965185680641413808894135081107579951725747383474762239887606351873752143252099124364533823402630247378700275679553926338710749208591907230182020339786972248722627502734078008249563766891205244849648061906449463975489388572801423735618479708467982692806708616814908139609678335935722149682543169765911924363081273894461522983674471160696825720988850849105577772778530667908492491282510656893549314545853328696899073022293036593336910459722842488199188065844163493653893391769442272657050230723589660165330376485345583606834135161135284959044395054535028094794389691609235560893226971978589806780761377855963460430693027742886780288680018174257668836995596033960320382118563432394079218652121753587770998394127960689584886873064041473552604046318009973202417026340410932844763394243422959179525102395123208993693482128662027658727571177781601151863660776317628198484958811534976309874460446772484229998059783137628747407920400854721802662908047683198724790168617009353912246113249172429031701995775439446234754066393979671432920179703234739135744371327768159819736448843275085690413707715902077843845184513489252482700256674904238058836988255473938377186313126664207678904514067439244196282508548365367560366534046782390448258709372935420935669437411647891368541306366615752562980062625296780041409070213279656631198316744255063857219223122806146077618985945318838446187766846287119313828160552761204756942512325645096303480351036133999597505347648100164155235569822912379509365256205305425670756218874562475677365225480050208478501235797632122084218942700809248181619434724507520462247789993589223956695844958227385244249562016293010785886268174436493469132817820299771912139706507965688108583076095835143336131058649589447443177250518132982018145012286391861739950594448394413326266690656909489179448186016310818024898830998118608135730076647500528652951689045961807937303593778758387692300435731047096462128296896611163946304019558134011420828149314510418161273050259786563125357123171677570897570466310079466276363035093343269715645045125273544275481669897929404766043313872252483564544523240297964642759045972749704891411740338690827407506959987535124581115436825602606815458118379418102974013528792042410235211889718028839807781872433851203737934658987905540811587116121030881921484737648306099060905878869347501960334805201696250806967484668556562795519549028637738406360305498863912591798950585664261643930400320600823113356236744425980811001892249029259765809857709448835710303904892194063852320088125014679569474763900292930061165249453112486717339133983985818276476495907544641006259225549132809961307520994349192435251307584748882898485574835683140045676609867682655653226165510666858676341400523201100613064223863054392415616232268679278771216091745266220171487187803770354208105915470728795996966613994727519346373836882096634798146946837692884310506285804540057991618091080772339793401709074291278304343581528303324609739963148760919174112914372406323124123871350778524836}
19331  21853962411582978561166572608803495006862229885628832835838128211840264: {676165,811398,965950,1100613,1159140,1236416,1390968,1564839,1641265,1969518,2336389,3107461,3514238,3525861,3568465,4033909,4265521,4282158,4439230,4562013,5020340,5107345,5327076,5596221,5683765,5947172,6024408,6128814,6284613,6451765,6577549,6777459,6820518,7218574,7271953,7742118,8429293,8495960,8560465,9557955,9964141,10195152,10268132,10272558,10282165,10855345,11232661,11469546,12306382,12338598,12922789,13026414,13047476,13433281,13799901,14192115,14668760,14771653,15033469,15083998,15138256,15195901,15394333,15617845,15831381,16208593,16502355,16742852,16895375,17030538,17563381,17602512,18168781,18374552,18741414,18827149,19393813,19672478,19802826,19871013,20274450,20671371,21352309,21547214,21626080,21708430,22080344,22394533,22613701,22808965,23033989,23213613,23874301,23918360,24015973,24136250,24329340,24478189,24503665,24608775,24840387,24998182,25363268,25951296,26050116,26120893,26249360,26722501,26908155,27097838,27134941,27370758,27713798,27853316,28103540,28592228,28702032,28908781,28963500,29195208,29319038,29327749,29404398,29530530,29585713,29755345,30129265,30491301,30894400,31325336,31414021,31482278,31499232,31992190,32130741,32289786,32357569,32844609,32894372,32928565,32988721,33094501,33487345,33511261,33531758,33638461,33724248,34161361,34348501,34704718,34756200,34789765,34937533,35031315,35241003,35436636,35706414,35904565,36155118,36233240,36464516,36865909,36884211,37031174,37073280,37330118,37366736,37688629,37939779,38105749,38267012,38390628,38634501,38685265,39032581,39100725,39341293,39512798,39514278,39544832,39591140,39596629,40184814,40762395,40846040,41090036,41391301,41637958,41707440,41747718,41802001,41855869,41884340,41953575,42037578,42494533,42720541,42859741,43085478,43115665,43479888,43775301,43909775,44035765,44487936,44536453,44617861,44619182,44706788,44750480,45051861,45222694,45797902,45872965,45951795,46139288,46260133,46422318,46519789,46920870,46991960,47088548,47509368,47741509,47873230,47904421,47923652,48470318,48490868,48503294,48544581,48914874,48919981,48968881,49015248,49169845,49191421,49588753,49842776,50048928,50163949,50261208,50344290,50578429,51130033,51452414,51738798,51906699,52016195,52649509,52691730,52842918,52865955,53003149,53328740,53363438,53363665,53448039,53700576,54090865,54250453,54351332,54432638,54667160,54966596,55047558,55142154,55760830,55946509,56027701,56073123,56074341,56204512,56293681,56305044,56336708,56371909,56390352,56543859,56746052,56812165,57006813,57355345,57447876,57562148,57731462,57811534,58631972,58996981,59003814,59130430,59262181,59278453,60035972,60097813,60413148,60426565,60770948,61025061,61250318,61500555,61640013,62224429,62419434,62728250,62736001,62909893,63230076,63439146,63631736,63866840,63994488,64036398,64113781,64206901,64379294,64909038,65029789,65311581,65361421,65584868,65600592,65912941,65970574,65997265,66532261,66832221,66867812,66880453,66912996,68143345,68174598,68218261,68462360,68574541,68678965,68826414,69035845,69140389,69254013,69284132,69290420,69390109,69536984,69542161,70819118,70956516,71585703,71707345,71850195,71993799,72275941,72279494,72419941,72511878,72754334,72950965,73201755,73520581,73585988,73656733,73800666,74308850,74652452,74901265,75176198,75248013,75273900,75369382,75579841,76139845,76640208,77020155,77246053,77621421,77644760,77739541,77752381,78081872,78142081,78229107,78303121,79196718,79686813,79688312,79844852,79885574,80195761,80292160,81385261,81425845,81772014,81776965,82026692,82154832,82231640,82414758,82843014,82870414,83000996,83148504,83297438,83451709,83494461,83617815,83759960,84077013,84155821,84240548,84462733,85080589,85177021,85221075,85345141,85432174,85454065,85719889,86048814,86109141,86220234,86312516,86610493,86808734,86815640,87017595,87024565,87073316,87350355,87432548,87521269,87541158,87842106,88251781,88360292,88418613,88481653,89170620,89192336,89645233,89649351,89881518,90328680,90470053,90902480,91061701,91367814,91370065,91558141,91970420,92116772,92142021,92424186,92510595,92577158,92683402,92702078,92711613,92755345,92818768,92855221,92883061,93173712,93274165,93542067,93564381,94131813,94134662,94229955,95000965,95115328,95492468,95633989,95934692,96111021,96350592,96996452,97079758,97106833,97518261,97583665,97667595,97711014,97963630,98132358,98360013,98609521,98614321,98677968,99167182,99621901,99643345,99781741,99986065,...,247328494794475557118461598020550868849898905533756033397164985071662788879474687158418485447778520962120713341202621661369927588621075212143359831409527810628214878148686546800735103945371068050413519330889508066123812887860845273030509680458373083941254101117012374345650336807867274472092859674195963234082859202135603427719562701974039210062925222362209414517503903583224523814754648867886544621910841692284475511706741045238581483276273658366659167796001862738736923765985340323971818779993045348609533439554890005365689584263732298782098766245240480840087654163408985575346085384490247995564728018375410251202741702927438566592581802542142191584537413853341339840457967884710171142066783945190646039541614330170433020027261386503255493394050940480573177845148591118827978182630381656497591191941034377330309596062210328906069477014959803625539510616399267145091365134438769287653592684813490540223192993041488091356766672401727795491164476442297727438217302464464811690670158726344997089674706443121111880601282082703994362071524798087185252925514030868369169873758643547552993663159169352131099590969507149380269554852108703616556991652239729604673264912628535620561573853116765767776770233878724050385012356357088255482383210907565779469689996311518356771101158866294423762822548051340549801070173585672388064059403131403504156117471837052811959549923628844470093937945170062113605319919484946797475116382595785828834684209219116428478917978257669281650269430678970742240829141807135413768488467644455220526554200999396258021472150246232853354734368569264047884307958138506134328311843713516047838220075312717751853696448183126328414051213872272429152086761280693371684990383835935043767437341077866374343024439516178829402261654740203699226730449657868209559761948532162874614143752715004196587974384171164765875777199473027217518429587792609925891672591619989400035985364233769172279024466227037348246497177912203595114971250792979427533568942711905955390668137581538450653596570644693192445344916745919456029337201017131242223971765627241909575389679844688035684757516356346355699465119199414544552640014904573467567687910316413222504846894107149064970808378725346816784860446946964138568959124557337117610508036241111260439981302686871673155238403910223187177569127154461020293188063615352817834577043259711672808650776805606901988481858311217380674181546322882227106472459148591358818304021252940502207802544376210451227002834844193279323542956607609540458248295868887698425878496392465895600480901234670034355116638971216502838373543889648714786564173253565455857338291095778480132187522019354212145850439395091747874179668730076008700975978727414714743861316961509388838323699214941961281491523788652876961377123324347728362253524710068514914801523983479839248266000288014512100784801650919596335794581588623424348403018918156824137617899330257230781705655531312158873206093193995449920992091279019560755323144952197220420256539326465759428706810086987427136621158509690102563611436917456515372292454986914609944723141378761169371558609484686185807026167787254}
19332  21940218541651258400043748643255466941935195810431822537923182704502827: {251147,425018,444107,598331,829427,1081864,1119458,1137107,1217097,1405907,1448925,1467484,1545520,1581698,1597667,1738710,1854624,1942331,2086452,2171747,2626024,2734778,2858267,2896331,2954277,3655931,3693827,4034531,4701148,4789331,5015147,5271357,5353331,5709544,5715938,6082684,6275425,6289331,6400442,6423237,6628322,6658845,6699587,6811307,7071707,7102768,7311098,7433965,7461628,7530510,7924547,7961531,7990614,8032544,8171752,8183267,8379484,8736347,8920758,9036612,9094024,9193221,9577658,9803522,10230777,10322824,10619950,10827861,11155682,11257331,11474747,11583347,11613177,11800331,11980931,12054242,12197387,12341531,12743940,12835165,13245974,13593536,13696744,13740227,14513402,14985107,15020531,15292728,15338987,15402198,15408837,15515627,15847418,16077733,16255331,16290938,16309345,16451464,16921547,17204319,17368552,17397218,17515187,18175931,18335950,18399868,18459573,18499898,18507897,18660947,18695531,18868331,18922820,19320301,19419947,19539621,19571214,20106587,20209307,20913122,20926331,20928565,21108508,21130547,21775331,21978347,22003140,22004282,22439738,22625997,22707384,22968190,23091842,23156867,23257427,23290931,23470016,23759147,24458531,24608378,24657707,24988552,25114278,25253507,25484507,25545807,25583387,25945331,26403768,26437331,26494684,26633627,27032600,27409669,27448427,27545867,27561828,27600430,27620282,27902531,28096667,28112121,28677347,29383547,29508717,29704239,29897950,29966978,30117707,30340307,30411675,30499067,30603962,30815987,30910907,30951484,31704085,31918907,32320821,32439120,32513531,32562645,32695894,32717882,32811700,32949827,33120516,33136331,33322547,33601331,33879467,34189058,34249307,34601728,34648667,34733488,34816645,34832531,35129425,35260427,35740285,35861762,35877540,36204375,36494010,36494344,36625187,36805931,36836027,37317818,37497273,38044902,38269376,38271227,38618000,38766818,38926944,39075174,39156670,39205864,39335531,39374040,39746627,39922331,40003202,40371877,40476827,40646757,40655068,40796531,41056137,41117965,41570697,41779974,41998976,42122987,42155310,42380531,42840988,42867938,42888342,43053048,43071482,43375931,43445250,43612429,43792812,43968467,43978557,44106597,44295795,44333507,44501531,44669267,44892467,44965664,45087347,45291550,45309587,45580645,46308602,46330787,46341600,46509698,46708420,46987331,46988004,47223417,47248848,47368187,47608552,47833765,47988285,48206824,48434679,48501347,48581747,48608531,48982667,49178948,49309922,49341558,49431040,49488925,50042987,50095667,50297637,50437307,50501378,50586372,51057550,51095162,51187504,51362545,51490298,51505931,51512668,51893531,51996587,52057077,52134300,52355425,52381907,52408213,52535531,52685704,52892867,53154954,53261282,53299331,53559621,53579752,53653307,53678531,53829707,54232677,54240122,54331547,54349860,54696774,55417297,55546761,55609920,55663624,55677769,55768787,55883485,55915931,55938100,55995177,56050104,56136107,56187002,56282531,56428667,56550227,56768258,57400518,57447304,57491531,57585942,57674110,57730931,57973184,58367068,58739950,58860685,59267531,59269197,59271417,59317248,59386710,59904565,59965331,60057827,60069148,60277221,60403547,60541331,60610178,60613585,60844861,60991202,61269060,61339331,61361987,61475147,61542947,61635054,61896424,62149907,62303470,62350931,62440067,62456937,62561160,62621577,62817467,62826510,62883827,63056367,63104507,63345824,63453818,63565331,63674531,63892331,64000931,64195907,64325531,64582202,64628217,64726108,65161067,65219832,65309747,65353664,65795507,66130931,66360347,66547331,66637442,66660925,66731904,66928773,66939947,67014944,67060182,67125720,67247867,67370531,67675931,67834041,67939165,68261267,68321638,68333950,68401547,68561387,68675258,68696853,68708245,68800187,68985064,69208932,69228002,69411962,69587867,69633477,69646427,69727273,69743867,69879947,70255640,70381305,70420885,70439531,70457224,70487940,70512698,70632822,70802507,70932565,71011331,71124827,71264052,71600768,71743907,71762531,71809845,71885478,71952685,72022427,72133331,72335738,72409331,72705477,72736302,72754941,73289965,73298387,73372311,73388027,73396744,73522872,73603298,74027531,74203331,74395787,74569907,74656667,74764164,74765788,75044965,75073392,75187136,75224267,75391812,75394547,75496331,75516435,75580922,75648467,75759842,75963685,76009084,76084331,76100987,76474082,76597168,76646147,76678907,76744331,77085707,77178621,77214827,77230931,77311331,77327387,77567267,77608197,78025931,78043294,78249602,78322787,78602978,78671752,79014347,79037595,79105331,79264377,79539670,79833550,79835258,79993110,80045157,80521907,80550864,80650931,80807747,81060482,81216422,81230507,81234938,81366748,81494531,81526998,81618587,81648957,81891947,81981085,82000740,82094867,82186684,82255907,82295987,82449894,82452098,82455587,82495307,82571337,82587707,82625402,82627187,82713231,82901531,82971578,83225912,83350931,83584765,83641245,83728331,83840147,84147347,84306768,84401531,84457566,84473507,84505062,84509387,84580931,84585528,84746747,85004147,85096787,85119078,85165931,85177427,85325984,85378682,85381864,85382987,85450931,85577950,85775267,85841531,86103707,86171814,86285221,86343222,86545384,86551427,86597193,86605165,86613025,86687147,86717301,86738987,86921230,86954531,86995187,87082108,87414347,87443747,87467456,87752867,87932531,87947958,88072331,88265027,88505721,88600322,88690822,88695645,88735667,88949867,89109628,89117627,89217328,89339027,89562467,89771987,89774138,89985637,90053958,90056987,90100931,90108218,90428267,90483467,90531347,90619722,90692531,90829787,90849107,90899464,90919331,90944627,90957227,91156422,91166531,91196531,91337747,91463147,91491107,91643987,91707587,91768552,91875477,91886507,91901387,91935362,91935827,91982485,92074331,92170427,92293067,92314307,92338684,92343707,92380931,92437547,92461331,92484827,92534747,92557331,92595458,92686787,92714147,92734331,92886157,92894267,92905931,92937347,92986667,92989331,93002531,93025787,93043427,93063107,93121307,93166331,93188507,93196331,93213467,93233531,93249227,93250931,93292427,93313907,93315565,93355931,93362387,93376331,93389531,93394307,93410531,93418331,93428747,93431027,93581282,93629151,93745082,93783118,94003693,94092375,94608688,94724858,94845114,95158719,95212802,95375162,95447604,95537378,95800260,95991732,96054597,96568941,96682504,97055950,97151618,97363557,97602340,98273018,98377302,98400888,98955861,99610390,99806065,...,370992742191713335677692397030826303274848358300634050095747477607494183319212030737627728171667781443181070011803932492054891382931612818215039747114291715942322317223029820201102655918056602075620278996334262099185719331791267909545764520687559625911881151675518561518475505211800911708139289511293944851124288803203405141579344052961058815094387833543314121776255855374836785722131973301829816932866262538426713267560111567857872224914410487549988751694002794108105385648978010485957728169989568022914300159332335008048534376395598448173148149367860721260131481245113478363019128076735371993347092027563115376804112554391157849888872703813213287376806120780012009760686951827065256713100175917785969059312421495255649530040892079754883240091076410720859766767722886678241967273945572484746386787911551565995464394093315493359104215522439705438309265924598900717637047701658153931480389027220235810334789489562232137035150008602591693236746714663446591157325953696697217536005238089517495634512059664681667820901923124055991543107287197130777879388271046302553754810637965321329490494738754028196649386454260724070404332278163055424835487478359594407009897368942803430842360779675148651665155350818086075577518534535632383223574816361348669204534994467277535156651738299441635644233822077010824701605260378508582096089104697105256234176207755579217939324885443266705140906917755093170407979879227420196212674573893678743252026313828674642718376967386503922475404146018456113361243712710703120652732701466682830789831301499094387032208225369349280032101552853896071826461937207759201492467765570274071757330112969076627780544672274689492621076820808408643728130141921040057527485575753902565651156011616799561514536659274268244103392482110305548840095674486802314339642922798244311921215629072506294881961576256747148813665799209540826277644381688914888837508887429984100053978046350653758418536699340556022369745766868305392672456876189469141300353414067858933086002206372307675980394855967039788668017375118879184044005801525696863335957648440862864363084519767032053527136274534519533549197678799121816828960022356860201351531865474619833757270341160723597456212568088020225177290670420446207853438686836005676415762054361666890659971954030307509732857605865334780766353690731691530439782095423029226751865564889567509212976165208410352982722787466826071011272319484323340659708688722887038227456031879410753311703816564315676840504252266289918985314434911414310687372443803331547638817744588698843400721351852005051532674958456824754257560315834473072179846259880348183786007436643667720198281283029031318218775659092637621811269503095114013051463968091122072115791975442264083257485548822412941922237285682979315442065684986521592543380287065102772372202285975219758872399000432021768151177202476379394503691872382935136522604528377235236206426848995385846172558483296968238309809139790993174881488136918529341132984717428295830630384808989698639143060215130481140704931737764535153845417155376184773058438682480371914917084712068141754057337914227029278710539251680881}
19333  22026812686993125539781261190883055408989569587292729339913332092622238: {19333,637527,946631,1352330,1622796,1679187,1834355,1931900,2201226,2297771,2318280,2372547,2472832,2608065,2761187,2781936,3129678,3282530,3939036,4102167,4672778,4767347,4995851,5876435,6214922,7028476,7051722,7136930,7150283,7603355,7773467,7957271,8067818,8531042,8564316,8573907,8878460,9032471,9124026,9327035,9600663,9942483,10040680,10214690,10474355,10654152,10966647,11192442,11295765,11367530,11775803,11894344,11984651,11985921,12048816,12257628,12569226,12903530,13155098,13274963,13381137,13554918,13641036,14088563,14366487,14395031,14437148,14543906,14705283,15013667,15197483,15272387,15456947,15484236,15929925,16401323,16733523,16858586,16991920,17120930,17205431,17326427,17766827,18081363,19055063,19115910,19868961,19928282,20390304,20536264,20545116,20564330,20673491,20756723,21710690,21770103,21775127,21864983,21924611,22250267,22465322,22939092,22999835,23036387,23103297,23653525,23771127,24436407,24612764,24677196,25234547,25672247,25835291,25845578,26052828,26094952,26095827,26365571,26385635,26725283,26866562,27006347,27221987,27503925,27599802,27749847,28215083,28384230,29330807,29337520,29356821,29543306,30066938,30167996,30276512,30327287,30391802,30788666,31235690,31369683,31626107,31662762,31692131,31932551,32298923,32417186,33004710,33006423,33118355,33474011,33485704,33641963,33659607,33790750,33935987,34061076,34164923,34305131,34452285,34637763,34660067,34942727,35126762,35205024,35590571,36337562,36749104,36869747,36912567,37377491,37482828,37595927,37654298,37671417,38109731,38689355,38787626,39047831,39111683,39344956,39605652,39742026,40548900,40593683,40712027,41014625,41342742,41400645,41430423,41657483,41994371,42180971,42327431,42704618,42864203,43094428,43252160,43416860,43841123,44160688,44541107,44789066,44846925,44950467,45034067,45227402,45501383,45617930,45905943,46067978,46099991,46427226,46882283,47746487,47748602,47836720,48031946,48096731,48272500,48658680,48705671,48789047,48956378,49007330,49043841,49076823,49217550,49450487,49466027,49680774,49996364,50266391,50583731,50726536,50818835,51283587,51902592,52100232,52241786,52498720,53008667,53445002,53551235,53792643,53816310,54029291,54159371,54195676,54269882,54741015,54741516,54978647,55427596,55706632,55976727,56033543,56207080,56791031,57067353,57145331,57184456,57404064,57522467,57814523,57817562,57927000,58150227,58385525,58390416,58612761,58638076,58655498,58675607,58735005,58808796,59003123,59061060,59171426,59284667,59510690,59774507,60004803,60258530,60361931,60520631,60982602,61473685,61650071,61788800,62135027,62222147,62230907,62650672,62669961,62828042,62916467,62964556,62998464,63232965,63248651,63984380,64222151,64261482,64301907,64332513,64390835,64579572,64607223,64715138,65167875,65259767,65447987,65689218,65788744,65857130,65919803,65977442,66189002,66621347,66974690,67022522,67063516,67276922,67448496,67937325,68225363,68322722,68549783,68697002,68837783,69147587,69409436,69462903,69512400,69579530,69764547,69875066,69922625,70037123,70062630,70116707,70482006,70873272,71315591,71412828,71484131,71809130,72310236,72466480,72822673,72837347,72929032,72958835,73731818,73768422,73964883,74012337,74062348,74146560,74305691,74311883,74660236,74709131,74733472,75086435,75377258,75727211,75752067,75879558,75880883,75925271,76211498,76534024,76586325,76642743,76781256,76853387,77235447,77269002,77370530,78065162,78201450,78682586,79025596,79028556,79089664,79182280,79193258,79537031,79732431,79891923,80204123,80297483,80369628,80907635,81360183,81524790,81692080,82045161,82180072,82322231,82573367,82782602,83275916,83414880,83495436,83604002,83711738,83768680,83907150,84075156,84280503,84471587,84597191,84989066,85089587,85152387,85441082,85587203,85719482,85728827,86100777,86170956,86231330,86378913,86511165,86959776,87335267,87550602,87819550,88071530,88109925,88260983,88975872,89072906,89080065,89235722,89238364,89413576,89500960,89901347,90103722,90445388,90479507,90915267,91486803,91595804,91745930,91874003,91903590,92278576,92396171,92452581,92520266,92844636,92864903,93039578,93455205,93457235,93841740,93983920,94177096,94239765,95011355,95018736,95180727,95197847,95400683,95483018,95746460,95808842,95847304,96048887,96150551,96650183,96709367,96873303,96940636,96981736,97006588,97089162,97829748,97839962,97897223,97937762,98030496,98339690,98382842,98524451,98619803,98624747,99177506,99207971,99685552,99956163,...,494656989588951114236923196041101737699797811067512066794329970143325577758949374316836970895557041924241426682405243322739855177242150424286719662819055621256429756297373093601470207890742136100827038661779016132247625775721690546061019360916746167882508202234024748691300673615734548944185719348391926468165718404271206855439125403948078420125850444724418829035007807166449047629509297735773089243821683384568951023413482090477162966552547316733318335592003725477473847531970680647943637559986090697219066879109780010731379168527464597564197532490480961680175308326817971150692170768980495991129456036750820502405483405854877133185163605084284383169074827706682679680915935769420342284133567890381292079083228660340866040054522773006510986788101880961146355690297182237655956365260763312995182383882068754660619192124420657812138954029919607251079021232798534290182730268877538575307185369626981080446385986082976182713533344803455590982328952884595454876434604928929623381340317452689994179349412886242223761202564165407988724143049596174370505851028061736738339747517287095105987326318338704262199181939014298760539109704217407233113983304479459209346529825257071241123147706233531535553540467757448100770024712714176510964766421815131558939379992623036713542202317732588847525645096102681099602140347171344776128118806262807008312234943674105623919099847257688940187875890340124227210639838969893594950232765191571657669368418438232856957835956515338563300538861357941484481658283614270827536976935288910441053108401998792516042944300492465706709468737138528095768615916277012268656623687427032095676440150625435503707392896366252656828102427744544858304173522561386743369980767671870087534874682155732748686048879032357658804523309480407398453460899315736419119523897064325749228287505430008393175948768342329531751554398946054435036859175585219851783345183239978800071970728467538344558048932454074696492994355824407190229942501585958855067137885423811910781336275163076901307193141289386384890689833491838912058674402034262484447943531254483819150779359689376071369515032712692711398930238398829089105280029809146935135375820632826445009693788214298129941616757450693633569720893893928277137918249114674235221016072482222520879962605373743346310476807820446374355138254308922040586376127230705635669154086519423345617301553611213803976963716622434761348363092645764454212944918297182717636608042505881004415605088752420902454005669688386558647085913215219080916496591737775396851756992784931791200961802469340068710233277942433005676747087779297429573128346507130911714676582191556960264375044038708424291700878790183495748359337460152017401951957454829429487722633923018777676647398429883922562983047577305753922754246648695456724507049420137029829603047966959678496532000576029024201569603301839192671589163177246848696806037836313648275235798660514461563411311062624317746412186387990899841984182558039121510646289904394440840513078652931518857413620173974854273242317019380205127222873834913030744584909973829219889446282757522338743117218969372371614052335574508}
19334  22113746162730968041152617309119231870734553029234763017385012431504877: {502294,850036,888214,1175653,1196662,1290889,1658854,1865989,1980793,2028495,2163728,2238916,2274214,2414875,2434194,2439289,2811814,2896633,2897850,2934968,3091040,3163396,3195334,3301839,3477420,3694213,3709248,3884662,4172904,4343494,4694517,4923795,5252048,5391433,5469556,5716534,5792662,5908554,7009167,7311862,7387654,7962373,8069062,8785595,9322383,9402296,9578662,10030294,10167013,10276489,10407551,10542714,10577583,10705395,10706662,10822789,11098075,11419088,11431876,12018313,12101727,12165368,12550850,12558853,12578662,12796563,12800884,12846474,13256644,13317690,13399174,13622614,13686039,13955833,14143414,14205536,14622196,14867930,14923256,15022153,15061020,15322035,15764293,15849094,15923062,15981228,16065088,16186789,16292233,16343504,16366534,16713289,16758968,16788663,17051295,17237989,17472694,17760889,17841516,17969231,18046435,18073224,18188048,18386442,18697573,18853839,18904933,19155316,19355295,19607044,19732647,20332377,20348389,20450953,20461554,20645648,20962693,21239900,21655722,21777733,21815859,21980773,22311364,22385989,22514662,22833083,22949494,23166694,23226354,23293513,23600662,23795173,23961862,24108484,24394774,24683062,25287879,25487353,25487880,25670330,25681395,25689631,25981093,26276473,26473033,26491948,27187072,27393488,27451513,27480454,28325989,28673865,28712773,28809289,29026804,29299991,29892423,29970214,30041062,30585456,30677974,30765955,30804396,30817674,30819493,30846495,31031254,31293433,31694836,32155466,32510662,32566035,32581876,32610889,32618690,32902928,33636133,33697983,33843094,33914233,34408638,34560613,34737104,34794436,34928389,35030374,36351862,36659593,36671900,36799736,36840313,36919146,36999796,37015794,37321894,37391062,37709995,37736662,37845640,38640602,38768367,38839894,38897893,38986489,39075013,39079242,39142428,39780613,39868489,40213174,40219273,40299843,40418614,41399703,41826244,41852662,41857130,42127993,42217016,42261094,42576345,43409413,43550662,43956694,44006280,44008564,44314959,44385719,44590789,44674633,44879476,45100407,45251994,45342793,45414768,45587703,45840889,45936380,46182999,46183684,46313734,46514854,46581862,46853535,46940032,47074789,47482489,47494143,47518294,47888389,48373093,48614473,48625779,48743303,48917062,49015333,49181195,49216756,49315414,49507065,49811653,49890889,49977104,50036399,50228556,50507014,50686125,50969014,51091614,51166774,51890662,52542073,52690143,52807536,52874662,52924933,52989368,53267254,53457913,53681287,53685253,53868035,54065200,54271075,54506343,54588133,54819338,54886789,54896854,55091734,55123656,55200860,55240564,55554553,55628389,55805062,55996489,56193334,56224242,56481447,56727289,57354694,57522853,57565151,57738313,58167289,58181439,58238533,58767094,58947013,59017434,59298553,59408478,59613039,59795900,59933956,60235414,60273289,60340625,60680614,60686713,60823350,60998134,61207924,61319731,61369993,61573573,61631974,61641289,61821814,61902968,61936979,61978789,62014113,62381413,62495455,63408170,63812903,63837814,64031113,64056927,64226053,64355653,64641642,64878240,65027062,65125290,65391788,65435764,65623400,65899654,66202489,66241032,66272662,66577033,66645094,66825289,66887173,66967271,67183599,67202662,67440889,67744595,67745989,67758934,67806793,67841103,67988773,68290633,68378116,68426895,68498614,69101967,69203456,69284495,69297334,69466976,69597433,69633290,69640839,69665062,69772933,70063993,70258850,70520854,70755193,71040133,71480570,71548489,71604613,71622903,71723524,71755080,71772553,71907563,72047919,72408750,72711973,72988020,72988688,73250374,73297595,73434567,73510995,73611862,73672054,73737289,73826325,74521161,74580553,74635636,74994546,75354373,75507193,76089804,76111993,76311289,76538752,76542454,77096953,77236000,77242213,77290489,77338693,77533636,77721733,77853888,78005989,78053113,78150348,78236879,78313340,78362679,78411728,78659173,78671062,78705695,78748080,78934789,79433353,79493254,79657093,79844662,79980475,80006404,80055289,80167503,80273989,80317513,80490889,80724465,80743754,80953654,81088633,81172873,81293514,81310136,81404823,81593062,81918073,82112274,82120933,82235930,82404959,82521253,82560889,82953289,83141394,83300293,83559948,83753893,83829395,83865673,83866391,83902789,83997952,84245974,84269989,84310620,84761062,84842533,84859019,85121893,85191013,85362553,85681976,85700233,85735876,85776684,86106096,86128453,86142964,86289913,86638789,86726343,86751862,86761795,86890500,87224858,87250789,87545989,87585624,87833989,87936934,87957114,87983247,88213194,88279813,88361353,88591590,88667014,88757139,88785289,89003062,89141113,89190793,89266035,89338534,89648389,89741413,89784934,89931328,90174694,90210889,90387795,90506233,90583100,90619174,90728389,91161290,91182853,91359973,91473903,91479673,91546489,91786789,91923193,91952713,92010889,92232073,92271493,92360953,92410489,92470789,92529289,92577935,92585989,92617204,92661574,92683200,92704393,92735173,93007333,93019396,93023173,93090889,93119113,93190789,93269413,93325295,93381193,93396133,93409273,93416840,93436489,93446533,93447973,93974662,93976008,94242063,94446834,94497696,94736374,95114831,95217104,95667530,95976570,96191543,96392223,96413648,96869358,97002694,97072707,97163494,97217062,97965334,98357896,98533827,98589239,98619844,98683116,98781995,98785695,98862080,98966163,98977850,99283503,99305591,...,741985484383426671355384794061652606549696716601268100191494955214988366638424061475255456343335562886362140023607864984109782765863225636430079494228583431884644634446059640402205311836113204151240557992668524198371438663582535819091529041375119251823762303351037123036951010423601823416278579022587889702248577606406810283158688105922117630188775667086628243552511710749673571444263946603659633865732525076853426535120223135715744449828820975099977503388005588216210771297956020971915456339979136045828600318664670016097068752791196896346296298735721442520262962490226956726038256153470743986694184055126230753608225108782315699777745407626426574753612241560024019521373903654130513426200351835571938118624842990511299060081784159509766480182152821441719533535445773356483934547891144969492773575823103131990928788186630986718208431044879410876618531849197801435274095403316307862960778054440471620669578979124464274070300017205183386473493429326893182314651907393394435072010476179034991269024119329363335641803846248111983086214574394261555758776542092605107509621275930642658980989477508056393298772908521448140808664556326110849670974956719188814019794737885606861684721559350297303330310701636172151155037069071264766447149632722697338409069988934555070313303476598883271288467644154021649403210520757017164192178209394210512468352415511158435878649770886533410281813835510186340815959758454840392425349147787357486504052627657349285436753934773007844950808292036912226722487425421406241305465402933365661579662602998188774064416450738698560064203105707792143652923874415518402984935531140548143514660225938153255561089344549378985242153641616817287456260283842080115054971151507805131302312023233599123029073318548536488206784964220611097680191348973604628679285845596488623842431258145012589763923152513494297627331598419081652555288763377829777675017774859968200107956092701307516837073398681112044739491533736610785344913752378938282600706828135717866172004412744615351960789711934079577336034750237758368088011603051393726671915296881725728726169039534064107054272549069039067098395357598243633657920044713720402703063730949239667514540682321447194912425136176040450354581340840892415706877373672011352831524108723333781319943908060615019465715211730669561532707381463383060879564190846058453503731129779135018425952330416820705965445574933652142022544638968646681319417377445774076454912063758821506623407633128631353681008504532579837970628869822828621374744887606663095277635489177397686801442703704010103065349916913649508515120631668946144359692519760696367572014873287335440396562566058062636437551318185275243622539006190228026102927936182244144231583950884528166514971097644825883844474571365958630884131369973043185086760574130205544744404571950439517744798000864043536302354404952758789007383744765870273045209056754470472412853697990771692345116966593936476619618279581986349762976273837058682265969434856591661260769617979397278286120430260962281409863475529070307690834310752369546116877364960743829834169424136283508114675828454058557421078503361762}
19335  22201020289067324168395099355467295460470289942916667253113092070745501: {38666,753441,1062545,1275054,1332321,1794993,1893262,2488281,2568097,2704660,2798645,3245592,3263221,3358374,3411321,3651291,3668710,3863800,3954245,4217721,4346775,4402452,4595542,4636560,4745094,4793001,4883153,4945664,5216130,5522374,5563872,5577989,5826993,6259356,6515241,6565060,6836945,7878072,8204334,8227009,8574801,8688993,8862831,9345556,9509477,9534694,9991702,10203881,10644697,10967793,11081481,11752870,12103593,12429844,13057849,14056952,14103444,14273860,14289845,14300566,14367993,14664097,15045441,15206710,15546934,15746041,15814071,15914542,16001105,16059993,16135636,16570805,17062084,17128632,17147814,17756920,18064942,18248052,18267301,18277745,18521353,18654070,18826275,18867993,19201326,19269711,19316777,19884966,19976535,20081360,20098761,20429380,20433921,20948710,21215121,21308304,21933294,22099249,22301895,22384884,22591530,22735060,23476721,23551606,23773641,23788688,23879273,23884593,23944145,23969302,23971842,24097632,24503977,24508805,24515256,24549801,25138452,25734241,25807060,26209041,26250017,26310196,26549875,26549926,26762274,27109836,27224821,27282072,27579663,27889205,28177126,28732974,28790062,28874296,28874737,29087812,29410566,30027334,30135605,30394966,30544774,30692331,30913894,30968472,31859850,32199769,32483583,32802646,33114935,33467046,33717172,33771993,33983840,34241860,34410862,34424241,34652854,34663681,34750041,34839531,34944809,35191409,35400993,35420617,35533654,35591401,35942793,36162726,36283505,36592161,36939889,37024593,37599841,38110126,38231820,38505495,39618545,39737922,39777697,39856564,39955249,40727345,40780608,41072528,41090232,41128660,41220681,41346982,41513446,43417909,43421380,43493045,43519753,43540206,43550254,43729966,43849222,44500534,44627153,44672549,44930644,44955321,45038773,45061593,45839875,45878184,45999670,46016961,46072774,46206594,46226511,46249745,46365697,46546881,47307050,47542254,47673649,48233199,48765993,48872814,48928035,49225528,49354392,50442913,50469094,50764641,51344494,51612957,51670582,51691156,52105656,52189904,52191654,52282805,52545561,52660553,52731142,52771270,53450566,53733124,54012694,54165097,54443974,54527793,55007850,55010705,55199604,55378719,55499694,55523691,55982841,56086593,56099345,56177137,56430166,56604993,56768460,57420475,57729605,57755449,57792353,57960903,58239977,58259841,58618863,58661614,58675040,58713642,59086612,59780773,60133876,60319761,60328441,60335992,60553024,60627921,60654574,60783604,61336913,61520945,61577332,62471380,62739366,62778993,62785695,63252214,63325524,63384262,63391641,63865102,64036229,64597846,64834372,65043473,65266561,65325993,65375033,65671601,65935041,66009420,66012846,66236710,66948022,66971408,67116673,67283926,67319214,67581500,67871974,67877991,68122152,68329846,68610262,68904570,69001075,69050705,69275526,69320134,69470601,69772281,69872793,69885454,70253524,70410048,71146369,71181142,71277441,71491573,72290993,72675124,73375593,73498208,73739494,73825134,73973121,74744875,74754982,74917445,74965656,74971729,75191854,75308596,75342834,75760521,76154081,76219462,76453521,76509905,76637421,76750161,77347621,77378710,77517977,77575252,77835993,78095662,78223366,78499009,78689912,79211304,79311993,79484052,79900881,81097800,81187366,81424054,81739735,81794705,82029250,82229007,82345281,82637601,82685484,82777397,82801290,82860846,83047537,83314966,83707593,83988742,83998553,84290001,84336363,84361942,84654862,85409236,85472645,85728406,86032041,86063159,86080501,86188856,86504320,86833720,87682246,88150641,88321376,88526151,88865573,89082214,89112717,89578132,89654405,89693850,89900934,89910721,90068134,90147169,90353121,90454804,90939749,91002766,91020921,91235025,91235860,91497201,91811886,92135956,92199982,92447961,92690177,92732721,92854452,93294545,93764566,95112255,95492974,95497204,95673440,95756721,96063892,96193462,96461249,96545000,96719473,96917045,96962463,97317360,97411342,97540593,97578094,97687935,97891675,97912756,98014660,98087682,98153646,98435100,98849481,98900974,98932054,99361548,99408993,99967641,99992728,...,1112978226575140007033077191092478909824545074901902150287242432822482549957636092212883184515003344329543210035411797476164674148794838454645119241342875147826966951669089460603307967754169806226860836989002786297557157995373803728637293562062678877735643455026555684555426515635402735124417868533881834553372866409610215424738032158883176445283163500629942365328767566124510357166395919905489450798598787615280139802680334703573616674743231462649966255082008382324316156946934031457873184509968704068742900477997005024145603129186795344519444448103582163780394443735340435089057384230206115980041276082689346130412337663173473549666618111439639862130418362340036029282060855481195770139300527753357907177937264485766948590122676239264649720273229232162579300303168660034725901821836717454239160363734654697986393182279946480077312646567319116314927797773796702152911143104974461794441167081660707431004368468686696411105450025807775079710240143990339773471977861090091652608015714268552486903536178994045003462705769372167974629321861591392333638164813138907661264431913895963988471484216262084589948159362782172211212996834489166274506462435078783221029692106828410292527082339025445954995466052454258226732555603606897149670724449084046007613604983401832605469955214898324906932701466231032474104815781135525746288267314091315768702528623266737653817974656329800115422720753265279511223939637682260588638023721681036229756078941486023928155130902159511767426212438055368340083731138132109361958198104400048492369493904497283161096624676108047840096304658561688215479385811623277604477403296710822215271990338907229883341634016824068477863230462425225931184390425763120172582456727261707696953468034850398684543609977822804732310177446330916646520287023460406943018928768394732935763646887217518884645884728770241446440997397628622478832933145066744666512526662289952300161934139051961275255610098021668067109237300604916178017370628568407423901060242203576799258006619116923027941184567901119366004052125356637552132017404577090590007872945322588593089253559301096160581408823603558600647593036397365450486880067070580604054595596423859501271811023482170792368637704264060675531872011261338623560316060508017029247286163085000671979915862090922529198572817596004342299061072195074591319346286269087680255596694668702527638928495625231058948168362400478213033816958452970021979126066168661114682368095638232259935111449692947030521512756798869756955943304734242932062117331409994642916453233766096530202164055556015154598024875370474262772680947503419216539538779641044551358022309931003160594843849087093954656326977277912865433808509285342039154391904273366216347375926326792249772456646467238825766711857048937946326197054959564777630140861195308317116606857925659276617197001296065304453531607429138183511075617148805409567813585131705708619280546986157538517675449890904714929427419372979524644464410755588023398954152284887491891154426969095917429180645391443422114795213293605461536251466128554319175316047441115744751254136204425262172013742681087836131617755042643}
19336  22288636391304365784818112708436903640487064836589095714290729950608382: {57999,328423,906583,1004588,1700072,1776428,1912581,2351306,2393324,2581778,2839893,3315199,3317708,3380825,3429103,3731978,3770383,3961586,4056990,4327456,4477832,4548428,4829750,4868388,4878578,4903303,5016199,5037561,5503065,5623628,5793266,5795700,5869936,6182080,6326792,6390668,6603678,6893313,6954840,7117641,7370383,7388426,7418496,7769324,7824195,7926223,8206325,8283561,8345808,8686988,8811823,9389034,9847590,10504096,10569199,10782866,10939112,11005663,11114599,11433068,11549623,11585324,11681945,11817108,12299833,12306501,13385623,13814599,14018334,14302041,14623724,14775308,14775583,14987553,15537305,15924746,16138124,17571190,17629305,17842325,18040999,18644766,18804592,19157324,19183063,20060588,20110999,20169545,20334026,20552978,20815102,21085428,21155166,21327605,21410790,21413324,21450849,21542863,21644599,21645578,22050823,22196150,22758943,22810065,22838176,22863752,23061343,23262583,23320401,23871813,24036626,24203454,24330736,25101700,25117706,25157324,25265009,25536725,25556143,25593126,25601768,25654999,25692948,25721721,26513288,26635380,26737663,26798348,27097413,27245228,27372078,27616999,27911666,27981105,28286828,28411072,28418825,28490503,28801989,29244392,29454223,29735860,29827449,29846512,30044306,30122040,30124543,30360473,30644070,31423065,31528586,31698188,31846124,31962456,32130176,32258825,32302183,32373578,32584466,32687008,32733068,32887745,32899941,33426578,33517936,33577326,33887263,33887295,34102590,34475978,34717999,34945388,35327409,35521778,35683032,35938462,35953953,35957763,36092870,36146448,36359765,36376096,36633703,36772884,36994999,37395146,37707678,37809866,37893199,38250463,38310632,38339599,38710590,39214088,39315343,39465294,39824889,40019503,40143411,40544599,40631863,40664754,40696778,40901906,40923108,41291296,41327383,41925386,42146465,42265689,42479800,42790063,42802325,43072337,43099461,43185093,43311444,43555466,43631718,43961546,43978999,44115849,44400199,44622728,44735863,44771978,45029324,45041001,45320503,45592449,45666166,45817161,45898988,46149583,46333388,46370841,46452708,46587026,46889599,47201324,47590346,47704999,47786143,47789775,47923724,48216968,48789548,49203969,49366124,49820705,50107999,50200569,50575758,50580823,50974706,50975760,51340660,51362790,51379262,51410825,51616293,51751543,51962186,51979281,52552946,52793993,52946066,52983896,53287303,53300481,54244089,54276725,54345199,54374144,54786976,54794263,54903026,54960908,55758343,55831999,55905583,56163305,56651978,57165189,57347730,57425546,57618578,58053608,58599982,58648423,59606883,59772199,59784846,59940428,60082124,60465199,61170912,61355948,61423303,61531910,61608792,61635348,61638986,61692990,61897063,62020473,62062508,62166199,62270169,62586866,63389672,63441521,63887503,64147999,64212943,64310932,64471999,64613945,65021324,65132070,65163752,65221778,65237380,65310309,65325381,65594949,65686783,65773833,65805856,66315703,66689599,66750801,66999199,67166405,67272266,67395966,67612999,67686188,67828466,68159263,68533817,68580103,68817276,68818999,68853673,68999505,69109161,69121226,69309891,69474208,69588872,69646063,69704599,69763063,69856778,69938023,70060748,70631383,70960575,71313381,71370823,71763943,72468773,72484663,72703724,73309221,73319186,73343800,73599472,73680626,73838292,73858265,73999592,74031588,74206903,74416999,74643788,74782124,75167345,75415249,75419990,75473324,75691280,75703641,75905743,75979505,76156303,76701199,76971665,77016741,77237383,77281204,77382103,77505873,77536734,77679788,77795786,77859823,77972978,78089225,78150026,78158484,78284856,78287481,78376999,78609199,78885463,79022623,79096713,79113703,79156905,79561226,79564783,79736978,80175849,80426348,80438546,80599686,80837228,81019041,81042965,81255199,81665961,82039063,82120063,82321303,82480999,82511775,82799406,83249541,83652488,83705324,83714260,84255986,84434032,84476875,84522188,84595783,84645249,85152690,85432999,85568503,85602199,85802863,86131543,86421199,86818826,86921743,87101324,87314863,87344599,87493637,87521503,87816905,87913388,87992421,88012560,88017128,88070463,88092463,88474999,88629918,88771438,88869199,88894903,88971583,89022343,89181578,89349266,89608999,89758952,89818303,90044023,90175999,90200814,90473863,90503988,90685586,90829536,90843905,90981861,90989599,91083199,91175406,91370623,91439599,91681778,91767199,91829263,91872760,91979383,92191063,92323183,92365998,92367368,92386543,92472223,92621983,92627468,92728903,92779663,92799463,93022663,93029708,93163724,93225199,93253999,93301303,93405199,93434503,93440983,93451999,93463663,93707070,93880064,94109049,94135745,94149578,94842433,94878321,94964978,94988286,95036588,95076393,95613353,95776778,95797653,96746186,96896769,96969065,96998293,97228946,97251558,97486606,97834124,98030666,98362390,98433512,98630828,99014130,99019269,99355065,99623306,99781778,99954208,...,1483970968766853342710769588123305213099393433202536200382989910429976733276848122950510912686671125772724280047215729968219565531726451272860158988457166863769289268892119280804410623672226408302481115985337048396742877327165071638183058082750238503647524606702074246073902020847203646832557158045175779404497155212813620566317376211844235260377551334173256487105023421499347142888527893207319267731465050153706853070240446271431488899657641950199955006776011176432421542595912041943830912679958272091657200637329340032194137505582393792692592597471442885040525924980453913452076512306941487973388368110252461507216450217564631399555490815252853149507224483120048039042747807308261026852400703671143876237249685981022598120163568319019532960364305642883439067070891546712967869095782289938985547151646206263981857576373261973436416862089758821753237063698395602870548190806632615725921556108880943241339157958248928548140600034410366772946986858653786364629303814786788870144020952358069982538048238658726671283607692496223966172429148788523111517553084185210215019242551861285317961978955016112786597545817042896281617329112652221699341949913438377628039589475771213723369443118700594606660621403272344302310074138142529532894299265445394676818139977869110140626606953197766542576935288308043298806421041514034328384356418788421024936704831022316871757299541773066820563627671020372681631919516909680784850698295574714973008105255314698570873507869546015689901616584073824453444974850842812482610930805866731323159325205996377548128832901477397120128406211415584287305847748831036805969871062281096287029320451876306511122178689098757970484307283233634574912520567684160230109942303015610262604624046467198246058146637097072976413569928441222195360382697947209257358571691192977247684862516290025179527846305026988595254663196838163305110577526755659555350035549719936400215912185402615033674146797362224089478983067473221570689827504757876565201413656271435732344008825489230703921579423868159154672069500475516736176023206102787453343830593763451457452338079068128214108545098138078134196790715196487267315840089427440805406127461898479335029081364642894389824850272352080900709162681681784831413754747344022705663048217446667562639887816121230038931430423461339123065414762926766121759128381692116907007462259558270036851904660833641411930891149867304284045089277937293362638834754891548152909824127517643013246815266257262707362017009065159675941257739645657242749489775213326190555270978354795373602885407408020206130699833827299017030241263337892288719385039521392735144029746574670880793125132116125272875102636370550487245078012380456052205855872364488288463167901769056333029942195289651767688949142731917261768262739946086370173521148260411089488809143900879035489596001728087072604708809905517578014767489531740546090418113508940944825707395981543384690233933187872953239236559163972699525952547674117364531938869713183322521539235958794556572240860521924562819726951058140615381668621504739092233754729921487659668338848272567016229351656908117114842157006723524}
19337  22376595799863455935404868574098831356800371615465174980705361455463497: {77332,1255735,1487563,1506882,2125090,2220535,2550108,2664642,2991655,3526959,3589986,3610783,3786524,3872667,3918103,4147135,4976562,5136194,5409320,5535943,5597290,5597967,5685535,5770999,5942379,6085485,6234223,6491184,6526442,6716748,6822642,7029535,7244625,7302582,7317867,7337420,7727600,7850623,7908490,7988335,8435442,8689899,8693550,8804904,9191084,9273120,9490188,9571723,9586002,9711655,9766306,9891328,9905517,10165303,10432260,10628239,10858735,11044748,11082639,11127744,11155978,11236159,11653986,12504283,12518712,13030482,13130120,13673890,14083551,14193883,14291335,14481655,14771385,15399127,15756144,16174299,16408668,16454018,17149602,17359567,17377986,17725662,18174439,18279655,18469135,18691112,18833023,19018954,19069388,19971583,19983404,20005783,20172655,20407762,20827627,21027501,21289394,21589339,21935586,22162962,22401547,22620763,22908463,23199127,23233543,23505740,23881759,23887119,23946655,24207186,24859688,25075735,25588843,26115698,26356785,26766655,27143407,27967149,28060363,28113904,28206888,28220959,28547720,28579690,28601132,28735986,29096503,29215903,29328194,30090882,30413420,30501039,30829467,31093868,31222653,31377125,31446655,31492082,31628142,31732749,31829084,32002210,32116185,32119986,32271272,32468367,32935039,32999023,33141610,33294225,33497935,33521803,34056535,34124168,34257264,34295628,34312327,34359259,34948447,35358535,35513840,35597983,36054939,36129884,36305181,36496104,36534602,36555490,36711979,36896647,37042706,37092823,37169825,37308140,37652550,37676559,37735986,38389689,38402652,38539422,38633554,39044887,39055963,39608983,39622735,39769932,39807655,39953070,40162720,40197522,40858760,40867842,40916335,41058117,41589847,41867499,41897420,42189847,42430242,42616608,43681735,43866588,44198498,44603790,44631799,44677207,44769768,45066459,45183060,45324703,45470120,45510859,45966105,46360909,46534303,46953442,47103212,47268427,47292879,47547282,47577376,47758546,47769186,47888290,47919367,47938604,47943684,48195264,48560367,48876699,49007954,49017610,49030512,49099602,49604239,49928143,50139867,50179723,50276904,50365989,50796907,51146047,51153885,51468482,51614120,51713967,52418082,52500034,52620392,53084047,53099750,53099852,53282667,53327563,53524548,53907693,53908063,54019879,54040543,54139305,54219672,54449642,54564144,55159326,55465963,55778410,56092719,56257303,56286655,56354252,56561517,56714799,57018283,57373735,57465948,57580124,57748592,57749474,57798379,57916735,58065885,58175624,58246063,58821132,58890703,59001655,59197941,59904655,60054668,60271210,60789932,60890263,60986935,60997131,61045167,61089548,61352859,61384662,61707655,61827788,61936944,62235199,62888079,63261823,63719700,64133803,64175825,64399538,64686343,64749643,64967166,65091739,65333199,65381839,65447577,65461759,65605292,65942319,66229870,66284383,66553099,66901339,66934092,67157967,67434344,67543986,67967680,68483720,68499249,68564059,68701135,68821724,68848482,69175927,69305708,69327362,69500082,69679062,69880539,69889618,70086343,70382818,70643623,70801986,70841234,71067308,71182802,71330443,71385519,71569903,71885586,72298519,72325452,72442843,72489079,72567010,73184322,73195927,73672159,73879778,74049186,74327359,74925535,74926507,75102655,75199682,75603607,75863637,75941083,76162039,76220252,76462059,76463640,76537483,76694935,76869559,77010990,77014987,77044185,77068893,77526103,77578135,77943279,78166663,78539083,78829419,78990043,79237090,79419099,79475844,79555394,79713128,79910498,80388665,80458123,80821447,81276655,81367423,81454690,81546725,81561216,82145056,82180464,82257320,82354539,82441362,82693964,83026892,83888503,84607735,84878119,84977967,85107583,86021595,86129323,86138319,86427867,86637739,86835818,86842760,86986090,87039506,87080412,87100508,87120223,87459932,87575935,87698444,87899973,88486183,88874839,89001068,89254306,89345098,89677269,89861288,89910642,90077546,90123186,90879655,91587007,91679750,91756368,91999340,92033922,92145548,92297865,92413188,92453022,92458479,92499490,92539485,92699863,92731394,93093762,93200479,93304735,93477655,93880299,94341655,94614100,94854463,95084508,95347298,96466398,96471307,96601505,96670987,96878683,97099735,97137247,97531986,97698105,97745628,97832667,97856070,98264263,98451056,98708784,99082603,99228847,99653227,...,2225956453150280014066154382184957819649090149803804300574484865644965099915272184425766369030006688659086420070823594952329348297589676909290238482685750295653933903338178921206615935508339612453721673978005572595114315990747607457274587124125357755471286910053111369110853031270805470248835737067763669106745732819220430849476064317766352890566327001259884730657535132249020714332791839810978901597197575230560279605360669407147233349486462925299932510164016764648632313893868062915746369019937408137485800955994010048291206258373590689038888896207164327560788887470680870178114768460412231960082552165378692260824675326346947099333236222879279724260836724680072058564121710962391540278601055506715814355874528971533897180245352478529299440546458464325158600606337320069451803643673434908478320727469309395972786364559892960154625293134638232629855595547593404305822286209948923588882334163321414862008736937373392822210900051615550159420480287980679546943955722180183305216031428537104973807072357988090006925411538744335949258643723182784667276329626277815322528863827791927976942968432524169179896318725564344422425993668978332549012924870157566442059384213656820585054164678050891909990932104908516453465111207213794299341448898168092015227209966803665210939910429796649813865402932462064948209631562271051492576534628182631537405057246533475307635949312659600230845441506530559022447879275364521177276047443362072459512157882972047856310261804319023534852424876110736680167462276264218723916396208800096984738987808994566322193249352216095680192609317123376430958771623246555208954806593421644430543980677814459766683268033648136955726460924850451862368780851526240345164913454523415393906936069700797369087219955645609464620354892661833293040574046920813886037857536789465871527293774435037769291769457540482892881994795257244957665866290133489333025053324579904600323868278103922550511220196043336134218474601209832356034741257136814847802120484407153598516013238233846055882369135802238732008104250713275104264034809154181180015745890645177186178507118602192321162817647207117201295186072794730900973760134141161208109191192847719002543622046964341584737275408528121351063744022522677247120632121016034058494572326170001343959831724181845058397145635192008684598122144390149182638692572538175360511193389337405055277856991250462117896336724800956426067633916905940043958252132337322229364736191276464519870222899385894061043025513597739513911886609468485864124234662819989285832906467532193060404328111112030309196049750740948525545361895006838433079077559282089102716044619862006321189687698174187909312653954555825730867617018570684078308783808546732432694751852653584499544913292934477651533423714097875892652394109919129555260281722390616634233213715851318553234394002592130608907063214858276367022151234297610819135627170263411417238561093972315077035350899781809429858854838745959049288928821511176046797908304569774983782308853938191834858361290782886844229590426587210923072502932257108638350632094882231489502508272408850524344027485362175672263235510085286}
19338  22464899850304780896862516113413808365407891812713988986203188686421320: {96665,115998,367061,559961,656846,714137,1367957,1521461,1713161,1813166,1942937,2009176,2057717,2260323,2439797,2516117,3011417,3187635,3400144,3467417,3552856,3770777,3808661,3825162,3996963,4702612,4733155,4786648,4790837,4903817,5129561,5163556,5384979,5679786,5842517,6403337,6630398,6635416,6761650,6813461,6858206,7185461,7463956,7464843,7540766,7704291,7923172,7927061,7964057,8113980,8296661,8395935,8654912,8955664,9033461,9096856,9171775,9400661,9659500,9736776,9757156,9789663,9806606,10032398,10075122,10169177,10233963,10953873,11006130,11247256,11369717,11488855,11586532,11587061,11591400,11739872,11862735,12093077,12309461,12364160,12633497,12653163,12653584,12781336,13040325,13064537,13207356,13786626,13805935,13909680,13958837,14235282,14379003,14649459,14740766,14776852,14777177,14836992,15202457,15538648,15648390,15838217,15852446,16190297,16260617,16354723,16366037,16412650,16567122,16691616,16733967,16786997,17241737,17311577,17373976,17480979,17623646,17764757,17834357,18285977,18493961,18778068,18874517,19185161,19219637,19529561,19545723,19695180,19838837,20215961,20510835,21008192,21138398,21565732,21752227,21878224,22011326,22053257,22229198,22593161,22866136,23063897,23097461,23099246,23170648,23265161,23298677,23363890,23399177,23634216,23836735,24466697,24566357,24599666,24613002,24681027,24798617,24979255,25096661,25261961,25558997,25591961,25724403,25888277,26066979,26544437,26588493,26740661,26771246,26936597,27262517,27555161,27629198,28036668,28237363,28396937,28525961,28528431,28604082,29247448,29297417,29382175,29489561,29550616,29551166,29858647,29975106,30611643,30636377,30921461,31074610,31363637,31849492,31934091,32276248,32305877,32524697,32618357,32680757,32903379,32961161,33240917,33244443,33891161,33922037,34353461,34476437,34629977,34844597,34936457,35142380,35258610,35272661,35684650,35751415,35880559,35911817,36081998,36184661,36310779,36637961,36668117,37289532,37389461,37609184,38016775,38016857,38284661,38314648,38366126,38867335,39143177,39173547,39319961,39349397,39786355,39936437,40024217,40121176,40221998,40339090,40668052,40810997,40898057,41105956,41187737,41505461,41620757,41630204,42170856,42310332,42655210,42821580,42823637,42826648,42869535,42901698,43085726,43103979,43221461,43289198,43291156,43391477,43645961,43992291,44101646,44181077,44392300,44601497,44741237,44769161,45020117,45136323,45162355,45187061,45353717,45517886,45620130,45676352,45727504,45989897,46042843,46122686,46182677,46525166,46567061,46635175,46640802,47004437,47086217,47140697,47238123,47442213,47494037,47743626,47900057,48003315,48034997,48073252,48179979,48406908,48438617,48599561,48661472,49000661,49267061,49506137,49712415,50193161,50203400,50235412,50314648,50455961,50530018,50613257,50903671,51073450,51112286,51186252,51203536,51309998,51385896,51443442,52298837,52371775,52555157,53026576,53270760,53319317,53475326,53521877,53596696,54194826,54490456,54744156,54801161,54801903,54833235,54900617,54950297,55233998,55564059,55789961,55823332,55937177,55962210,56010677,56303957,56478825,56573656,56603979,56741717,56822144,56837650,56981006,57369461,57513557,57585497,57603978,57753077,57809133,57824777,57950331,57967961,58087061,58488784,58679561,58797461,58879015,58908446,59005051,59009177,59471720,59654898,59693024,59923255,59929605,59942297,60088612,60244080,60249086,60296283,60334997,60720946,60748277,61227161,61288140,61301763,61431317,61567061,61905161,61927637,62241461,62598197,62846130,62908661,63057172,63327497,63396376,63590537,63645363,63692248,63765257,63917717,63924912,64243097,64260352,64517650,64604366,64747156,65168932,65374016,65466136,65632277,65775490,65799882,65821961,66157577,66220277,66262037,66297747,66374815,66843317,66853156,66905685,66946457,67035872,67154652,67459157,67703477,67764377,67774526,67774590,68007257,68188661,68205180,68951956,69435998,69655637,69675161,69748987,69792137,69890776,70430163,70442815,70526297,70641161,70654818,70927061,71040917,71043556,71097737,71230037,71320923,71366064,71399561,71637819,71653779,71792597,71832435,71876924,71907906,71915526,71975155,72185740,72292896,72494837,72719530,72752192,73267406,73329461,73419161,73511931,73526415,73545768,73649403,73793717,73989998,74235017,74479961,74790292,74976343,75068335,75324917,75410057,75415356,75528917,75579737,75619732,75786398,75933461,75987415,76167317,76361935,76366517,76500926,76581017,76596619,76621264,76679198,76777817,77202723,77264777,77284735,77313077,77345237,77393417,77409461,77421180,77489561,77649161,77823797,78060377,78428176,78528137,78627123,78628627,78630686,78750051,78820661,78912437,78930588,78988697,79049561,79140617,79261577,79486997,79576661,79649625,79649778,80039006,80079317,80108597,80239961,80286822,80370677,80601461,80673161,80901257,80994511,81089198,81113237,81263726,81329508,81393556,81531797,81573257,81655961,81674463,81803812,81846216,82006615,82146137,82333961,82387337,82533461,82582592,82654766,82665461,82738989,82783577,82940057,82978997,83121161,83629961,83667615,83742677,83850772,83953817,84064661,84292930,84531378,84549461,84621077,84680537,84787061,84892937,84959600,85033097,85206677,85412597,85491977,85580126,85604650,85916057,86027155,86080277,86144674,86145461,86156297,86198922,86317877,86370186,86622888,86624211,86632135,86667017,86729561,87027797,87110932,87263436,87279497,87487061,87535961,87574937,87863177,87923092,87957998,88023317,88116437,88199561,88231698,88390997,88570037,88780661,88800398,88815317,88834135,88858457,88944137,88995161,89037461,89045897,89237717,89245456,89295257,89368661,89409161,89471726,89537417,89543956,89679257,89772377,89841461,89955161,90058648,90082002,90147977,90242357,90363737,90406815,90454997,90459523,90641006,90733961,90760457,90832661,90897461,90967817,90986837,91184898,91215497,91233557,91269461,91332332,91387061,91392857,91529561,91590677,91634322,91645397,91797976,91851161,91951961,91996277,92076993,92125337,92212661,92299166,92344661,92365961,92403797,92407961,92445077,92513417,92548661,92564117,92609717,92620937,92628377,92666776,92697461,92741682,92746517,92797337,92800661,92836697,92905416,92999561,93043337,93051317,93105161,93127157,93155477,93174052,93195797,93227417,93231497,93257237,93268661,93294197,93304661,93335897,93400757,93415577,93432917,93435737,93448757,93453461,93467657,93474677,93475637,93487061,93489161,93489497,93779198,94032967,94402648,95180692,95275315,95409998,95572286,95579550,95847448,96433936,96599307,97450749,97579096,98407938,98732248,99344805,99641410,...,3338934679725420021099231573277436729473635224705706450861727298467447649872908276638649553545010032988629630106235392428494022446384515363935357724028625443480900855007268381809923903262509418680582510967008358892671473986121411185911880686188036633206930365079667053666279546906208205373253605601645503660118599228830646274214096476649529335849490501889827095986302698373531071499187759716468352395796362845840419408041004110720850024229694387949898765246025146972948470840802094373619553529906112206228701433991015072436809387560386033558333344310746491341183331206021305267172152690618347940123828248068038391237012989520420648999854334318919586391255087020108087846182566443587310417901583260073721533811793457300845770368028717793949160819687696487737900909505980104177705465510152362717481091203964093959179546839839440231937939701957348944783393321390106458733429314923385383323501244982122293013105406060089233316350077423325239130720431971019320415933583270274957824047142805657460710608536982135010388117308116503923887965584774177000914494439416722983793295741687891965414452648786253769844478088346516633638990503467498823519387305236349663089076320485230877581247017076337864986398157362774680197666810820691449012173347252138022840814950205497816409865644694974720798104398693097422314447343406577238864801942273947306107585869800212961453923968989400346268162259795838533671818913046781765914071165043108689268236824458071784465392706478535302278637314166105020251193414396328085874594313200145477108481713491849483289874028324143520288913975685064646438157434869832813432209890132466645815971016721689650024902050472205433589691387275677793553171277289360517747370181785123090860404104551196053630829933468414196930532338992749939560861070381220829056786305184198807290940661652556653937654186310724339322992192885867436498799435200233999537579986869856900485802417155883825766830294065004201327711901814748534052111885705222271703180726610730397774019857350769083823553703703358098012156376069912656396052213731271770023618835967765779267760677903288481744226470810675801942779109192096351460640201211741812163786789271578503815433070446512377105913112792182026595616033784015870680948181524051087741858489255002015939747586272767587595718452788013026897183216585223773958038858807263040766790084006107582916785486875693176844505087201434639101450875358910065937378198505983344047104286914696779805334349078841091564538270396609270867829914202728796186351994229983928749359701298289590606492166668045463794074626111422788318042842510257649618616338923133654074066929793009481784531547261281863968980931833738596301425527856026117463175712820098649042127778980376749317369939401716477300135571146813838978591164878694332890422583585924951349820573776977829851591003888195913360594822287414550533226851446416228703440755395117125857841640958472615553026349672714144788282258118938573933393232266764070196862456854662475673463280907287752287541936174330266344385639880816384608754398385662957525948142323347234253762408613275786516041228043263508394853265127929}
19339  22553549883347056976628451812390448567916702785656303220174516325273255: {154664,173997,985269,1758029,2511470,2719749,2975126,3013764,3108749,4035581,4188317,4250180,4267289,4441070,5100216,5329284,5737743,5805989,5878265,5983310,6454445,6967661,7053918,7179972,7221566,7573048,7745334,7836206,7959749,8294270,8519679,9278009,9329945,9841349,9903965,9945597,9953124,10142475,10272388,10287309,10818640,11071886,11183669,11194580,11195934,11311149,11361221,11371070,11541998,11884758,12074375,12170970,12196445,12468446,12928157,12982368,13052884,13279097,13433496,13596317,13645284,14059070,14483165,14489250,14605164,14635734,14674840,14709909,14777789,15048597,15112683,15202229,15455200,15701246,15816980,15976670,16509195,16727381,16774589,16870884,17210789,17379798,17387100,17609808,18382168,18471065,18546240,18980376,19060997,19143446,19172004,19401869,19423310,19532612,19782656,19811034,20007869,20274317,20330606,20519477,20679929,20679939,20864520,21256478,21352923,21717470,22089496,22111149,22165278,22255488,22257209,22311956,22321181,22472318,23043581,23307972,23472585,23778669,23888009,24025949,24488357,24618975,24850683,25008566,25037424,25591517,25856789,25966901,26060964,26260240,26435469,26733629,26957165,27347780,28167102,28223897,28241717,28387766,28582670,28963310,29542770,29662709,30336749,30641069,30798254,31512288,31707597,32348598,32519621,32817336,32908036,33016989,33343797,33525317,33652469,34051481,34299204,34648869,34719134,34755972,34953629,35045835,35106029,35206421,35451324,35601689,36348878,36559310,36881261,36899499,36919503,36938270,37382224,37473317,37666046,37747289,38037908,38138776,38902229,39060029,39785981,39811865,39943166,39966808,40011566,40156869,40345310,40606397,40724729,40815524,41237429,41443797,41655254,42055002,42340637,42578788,42877589,42906123,43178678,43871172,43927975,44025317,44058221,44325924,44326749,44803094,44962659,45241526,45329429,45515597,45816926,46398254,46467086,46611915,46897109,47011480,47679149,47763518,47774238,47893310,48111737,48151949,48414372,48804269,49501949,49719376,49933349,50151470,50519837,50599637,50657021,50835065,51177686,51382445,52037755,52231396,52713570,52827557,52887915,53025221,53526975,53533310,54046169,54113945,54122997,54286814,55135277,55471829,55490375,55730717,55934298,56120726,56227808,56413776,56441918,57095440,57159380,57163229,57202264,57282869,57371309,57471972,57549189,57767477,58048397,58193006,58431806,58656388,58896857,59021549,59303309,59329229,60091565,60137117,60181764,60332997,60508635,60826840,61002078,61154429,61658934,62187736,62250341,62445306,62754250,62794265,62893310,62984164,63256284,63268409,63465498,63658168,63709529,63982815,64004420,64232370,64239972,64352547,64542544,64628589,64933797,64936734,65098541,65819021,65870078,65940389,65998046,66152469,66283220,66588450,66995870,67043606,68113070,68246669,68248336,68276829,68430195,68514528,68571197,68591256,68624654,68718518,69169181,69184029,69779165,69787749,69896894,69961203,70650989,70717070,71027680,71195966,71337869,71615439,72109878,72259768,72296501,72610362,72860381,72992208,73069204,73110980,73423958,73505189,73793294,74085412,74185646,74335097,74339650,74616280,75110765,75305100,75353118,75471972,75515597,75795027,75948989,76610175,76668429,76779378,76805304,76964997,77078844,77165163,77267108,77363897,78089774,78111926,78174857,78336089,78515357,78801317,78821465,79217966,79245470,79539864,79615310,79906140,80212989,80323229,80325440,80395044,80419709,80933945,81083429,81292239,81461165,81717520,81735684,81832670,82116234,82602317,82724549,82850997,83179694,83185517,83566445,83734998,83794840,83866517,83943315,84379694,84498149,84860484,85116581,85233216,85256475,85381709,85471509,85614269,86189945,86390717,86405967,86646821,87067097,87362741,87363470,87733176,87767957,88362669,88396996,88804445,89207580,89263598,89354414,89482347,89539536,89673917,89846155,90132918,90232175,90366120,90373629,90453389,90649406,90940061,90940240,91021718,91081419,91932210,92721818,93068606,93210197,93351869,93487865,93906884,94206424,94269195,94524665,94536854,94585758,95094564,95154752,95517092,95538372,95776580,95838734,95877208,95887368,96181589,96390528,96776475,96906549,97120734,97369661,97753398,98015908,98035220,98061024,98199204,98274509,98555309,98663235,98699823,99092957,99208478,99856286,...,4451912906300560028132308764369915639298180299607608601148969731289930199830544368851532738060013377318172840141647189904658696595179353818580476965371500591307867806676357842413231871016679224907443347956011145190228631981495214914549174248250715510942573820106222738221706062541610940497671474135527338213491465638440861698952128635532705781132654002519769461315070264498041428665583679621957803194395150461120559210721338814294466698972925850599865020328033529297264627787736125831492738039874816274971601911988020096582412516747181378077777792414328655121577774941361740356229536920824463920165104330757384521649350652693894198666472445758559448521673449360144117128243421924783080557202111013431628711749057943067794360490704957058598881092916928650317201212674640138903607287346869816956641454938618791945572729119785920309250586269276465259711191095186808611644572419897847177764668326642829724017473874746785644421800103231100318840960575961359093887911444360366610432062857074209947614144715976180013850823077488671898517287446365569334552659252555630645057727655583855953885936865048338359792637451128688844851987337956665098025849740315132884118768427313641170108329356101783819981864209817032906930222414427588598682897796336184030454419933607330421879820859593299627730805864924129896419263124542102985153069256365263074810114493066950615271898625319200461690883013061118044895758550729042354552094886724144919024315765944095712620523608638047069704849752221473360334924552528437447832792417600193969477975617989132644386498704432191360385218634246752861917543246493110417909613186843288861087961355628919533366536067296273911452921849700903724737561703052480690329826909046830787813872139401594738174439911291218929240709785323666586081148093841627772075715073578931743054587548870075538583538915080965785763989590514489915331732580266978666050106649159809200647736556207845101022440392086672268436949202419664712069482514273629695604240968814307197032026476467692111764738271604477464016208501426550208528069618308362360031491781290354372357014237204384642325635294414234402590372145589461801947520268282322416218382385695438005087244093928683169474550817056242702127488045045354494241264242032068116989144652340002687919663448363690116794291270384017369196244288780298365277385145076350721022386778674810110555713982500924235792673449601912852135267833811880087916504264674644458729472382552929039740445798771788122086051027195479027823773218936971728248469325639978571665812935064386120808656222224060618392099501481897051090723790013676866158155118564178205432089239724012642379375396348375818625307909111651461735234037141368156617567617093464865389503705307168999089826585868955303066847428195751785304788219838259110520563444781233268466427431702637106468788005184261217814126429716552734044302468595221638271254340526822834477122187944630154070701799563618859717709677491918098577857643022352093595816609139549967564617707876383669716722581565773688459180853174421846145005864514217276701264189764462979005016544817701048688054970724351344526471020170572}
19340  22642547244887312343397070018730194075699643306831387450798273692413504: {135331,193330,231996,598579,734122,1119922,1291291,1313692,1406491,1428274,1981411,2096179,2440051,2735914,3011731,3042922,3426322,3626332,3767205,3809059,3885874,4018352,4115434,4462689,4520646,4879594,5032234,5167699,5312725,6022834,6291979,6375270,6626417,6661605,6800288,6934834,6963091,7105712,7541554,7617322,7650324,7964899,7993926,8974965,9405224,9466310,9573296,9581674,9807634,10259122,10279771,10327112,10580877,10769958,10832349,11359572,11618001,11685034,11754309,12346819,12441405,12806674,12840485,13260796,13270832,13523300,13626922,13716412,13993225,14067331,14370922,14601211,14927912,14929686,15081532,15239491,15408582,15846344,15854122,15875179,15928114,16084397,16227960,16297531,16316105,16593322,16607829,16718731,16791870,16793901,17056605,17309824,17312997,17827137,17911328,18066922,18193712,18256455,18343550,18702669,18801322,18911131,19014739,19221739,19319000,19328309,19473552,19514312,19579326,19613212,19771225,19841011,20064796,20150244,20338354,20355091,20457691,20467926,20560219,21088605,21275899,21733875,21907746,21953601,21988051,22012260,22494512,22739434,22977710,23100019,23173064,23174122,23182800,23301259,23401771,23479744,23551869,23725470,23903251,23965005,24186154,24415765,24618922,24728320,24801379,25266994,25306326,25307168,25562672,25594819,26069697,26080650,26088379,26129074,26414712,26580139,27558259,27573252,27611870,27819360,27889945,27917674,28044619,28470564,28715169,28758006,28819051,29134965,29298918,29300731,29481532,29553704,29554354,29673984,29716551,30404914,30495909,30639859,30924979,31077296,31296780,31398739,31587739,31676434,31704892,31884717,32058979,32380594,32521234,32576205,32709446,32715691,32732074,32825300,33134244,33247917,33371429,33383232,33467934,33573994,33708477,33925939,34184725,34483474,34623154,34664659,34747952,34961958,34970957,35247292,35529514,35668714,35946331,36571954,36672379,36762811,36987922,37512849,37556136,37749034,37752811,38370322,38439274,39000211,39059122,39088771,39091446,39354019,39390360,39677674,39702157,39882571,40321051,40431922,41021670,41135045,41192611,42016384,42250653,42276796,42404297,42581649,42874005,43131464,43424971,43444965,43504454,43756448,44022652,44106514,44186371,44314155,44458396,44690731,44774539,45025531,45186322,45732272,45857491,46127794,46194922,46197381,46198492,46341296,46530322,46597354,46727780,46798354,47268432,47499811,47547385,47673470,48522897,48632299,48933394,49033339,49132714,49199332,49226004,49362054,49597234,49909291,49958510,50051981,50193322,50462179,50523922,51019405,51117994,51183922,51448806,51776554,52022419,52078701,52133958,52331011,52561699,53021131,53088874,53176986,53223485,53481322,53542492,53873194,54414269,54523317,54525034,54608731,54838965,54982051,55110322,55258396,55407405,55649491,55700897,56073336,56474726,56499069,56748931,56793874,56821651,57051922,57056862,57208164,57544891,57760459,57832171,58260931,58332139,58494896,58594834,58764350,58979122,59101232,59102332,59601571,59717294,59914749,59950212,60017349,60088939,60517965,60984691,61223286,61272754,61597699,61665451,61842922,61935739,62149220,62472859,62482881,62727274,63071611,63082503,63227297,63598939,63698984,63795499,63868182,64552496,64611754,64768017,64961251,65049394,65236714,65280931,65289245,65361514,65806758,65922322,66481834,66488886,66914251,66976099,67204641,67407019,67685101,67782322,67834411,67844074,67862289,68378731,68706922,68725389,68952874,69259954,69597381,69626131,69684739,69689194,69700629,69872914,70284760,70382419,70517220,70545322,70784611,70841779,71069731,71239939,71369300,71449225,71502830,71634571,71645277,71661357,71690659,71761118,71823634,71839965,72163996,72247579,72369322,72621558,72797299,73231891,73275922,73320485,73336234,73501171,73821931,74579064,74778922,75218368,75227205,75335731,75437899,75590611,76033550,76033714,76569322,76629296,76732252,76766529,76788979,77324371,77372611,77420779,77734670,78087571,78134659,78286354,78347094,78639922,78698794,78730205,78740251,79070355,79468891,79572710,79872874,80005525,80048434,80242352,80299965,80353771,80443996,80570491,80678180,80699659,80913499,81209851,81336104,81430221,81621994,81791971,81796114,81996451,82211912,82375474,82400011,82430621,82559419,82599091,82638691,82854025,82952899,82961989,83010922,83146939,83241514,83260408,83892557,83901447,83942251,84181089,84200299,84309811,84341712,84620664,84662877,84705811,85058251,85231771,85310420,85403491,85437619,85643160,85647274,85653296,85739070,85741531,85803396,85874731,86105059,86170219,86171452,86202691,86207958,86363971,86442922,86578396,86582312,86586739,86782954,87052219,87289509,87291922,87293851,87618571,87647709,87877771,87984582,88047331,88203292,88214299,88362154,88432891,88699651,88784600,88830331,89061019,89202994,89310499,89383939,89482474,89538322,89718091,89834011,89970739,90040234,90272646,90279691,90324710,90374122,90523277,90707434,90756619,90894211,91009339,91035772,91047139,91240260,91249891,91285819,91321459,91336505,91352704,91374379,91388725,91409299,91455008,91503117,91546099,91612771,91774411,91973779,91979794,92085686,92245372,92365354,92425219,92488401,92522851,92546539,92593051,92606765,92818339,92857651,92895811,92924741,92977459,93020299,93050332,93069331,93134122,93145291,93269779,93270350,93281604,93287059,93324859,93431059,93452731,93455539,93483619,93504139,93506299,93508171,93508819,93667959,94008874,94131375,94172434,94281394,94339965,94476246,94766857,94884426,94988074,95198247,95487252,95800114,96006630,96069994,96146504,96348555,96359958,96583885,96813816,96877234,97199122,97322944,97405101,98001322,98534122,98619941,98805117,98997069,99012274,99424830,99882675,...,6677869359450840042198463146554873458947270449411412901723454596934895299745816553277299107090020065977259260212470784856988044892769030727870715448057250886961801710014536763619847806525018837361165021934016717785342947972242822371823761372376073266413860730159334107332559093812416410746507211203291007320237198457661292548428192953299058671698981003779654191972605396747062142998375519432936704791592725691680838816082008221441700048459388775899797530492050293945896941681604188747239107059812224412457402867982030144873618775120772067116666688621492982682366662412042610534344305381236695880247656496136076782474025979040841297999708668637839172782510174040216175692365132887174620835803166520147443067623586914601691540736057435587898321639375392975475801819011960208355410931020304725434962182407928187918359093679678880463875879403914697889566786642780212917466858629846770766647002489964244586026210812120178466632700154846650478261440863942038640831867166540549915648094285611314921421217073964270020776234616233007847775931169548354001828988878833445967586591483375783930828905297572507539688956176693033267277981006934997647038774610472699326178152640970461755162494034152675729972796314725549360395333621641382898024346694504276045681629900410995632819731289389949441596208797386194844628894686813154477729603884547894612215171739600425922907847937978800692536324519591677067343637826093563531828142330086217378536473648916143568930785412957070604557274628332210040502386828792656171749188626400290954216963426983698966579748056648287040577827951370129292876314869739665626864419780264933291631942033443379300049804100944410867179382774551355587106342554578721035494740363570246181720808209102392107261659866936828393861064677985499879121722140762441658113572610368397614581881323305113307875308372621448678645984385771734872997598870400467999075159973739713800971604834311767651533660588130008402655423803629497068104223771410444543406361453221460795548039714701538167647107407406716196024312752139825312792104427462543540047237671935531558535521355806576963488452941621351603885558218384192702921280402423483624327573578543157007630866140893024754211826225584364053191232067568031741361896363048102175483716978510004031879495172545535175191436905576026053794366433170447547916077717614526081533580168012215165833570973751386353689010174402869278202901750717820131874756397011966688094208573829393559610668698157682183129076540793218541735659828405457592372703988459967857498719402596579181212984333336090927588149252222845576636085685020515299237232677846267308148133859586018963569063094522563727937961863667477192602851055712052234926351425640197298084255557960753498634739878803432954600271142293627677957182329757388665780845167171849902699641147553955659703182007776391826721189644574829101066453702892832457406881510790234251715683281916945231106052699345428289576564516237877147866786464533528140393724913709324951346926561814575504575083872348660532688771279761632769217508796771325915051896284646694468507524817226551573032082456086527016789706530255858}
19341  22731893286020744172791691395393712268524813564724740784768389949245328: {289995,309328,347994,1101183,1642115,1679883,1970538,2142411,2337599,3516058,4103871,4532915,4564383,4769323,5022940,5139483,5439498,5828811,5950252,6027528,6157019,6173151,6217498,6780969,7319391,7546691,7548351,8071162,8229571,8376634,8500360,8534578,8699339,8882140,9034251,9036223,9562905,10200432,10402251,10658568,11312331,11425983,11475486,11611978,11756530,11966620,11990889,12865763,12908890,13061923,13865551,13935322,14107836,14199465,14359944,14372511,14443132,14711451,15041279,15146096,15278731,15388683,15490668,15672412,15919498,16154937,16575995,16588540,16904125,17039358,17075023,17145515,17527551,18556018,18659890,18851915,19210011,19682698,19768723,19807930,19891194,19906248,20276431,20284950,20440383,20544776,20574618,21556383,21637280,22106131,22143772,22367338,22389160,22391868,22394529,22622298,22722442,22742140,23083996,23112873,23769516,23781183,23892171,24148750,24250291,24341940,24392890,24516515,24889983,24936892,25080995,25187805,25682911,25856314,25859491,25964736,26105768,26134463,26376523,26558194,26698363,26866992,27100383,27192634,27233323,27290568,27515325,28118140,28201983,28966330,28978500,29210328,29271468,29349680,29368989,29419818,29555578,29601083,30097194,30225366,30404458,30507531,30701889,30910400,31402492,31437659,31633960,31953340,32374379,32861619,33018390,33454762,33549178,33741768,34109151,34421578,34466565,34759596,34761183,34774200,35202431,35219616,35588205,36279231,36399859,36455771,36764336,36851915,36904331,36928383,36942130,37092480,37611583,37740031,37900491,37959489,37960752,38121994,38286892,38344008,38803738,38846620,39065224,39120975,39193611,39565312,39622068,39631115,39790123,40015738,40211039,40548634,40661212,41031625,41038954,41359858,41359878,41417805,41729040,41876511,42512956,42705846,43137009,43434940,43533331,43948377,44059115,44178992,44222298,44330556,44331531,44510976,44514418,44623912,44642362,44944636,45607371,46087162,46615944,46945170,47096719,47278271,47514651,47557338,47688523,47776018,48051898,48570891,48781851,48976714,49064169,49098111,49237950,49701366,50017132,50074848,50201901,50360991,50458651,50662303,51183034,51713578,51725211,51933802,51934731,51942931,52121928,52442937,52520480,52677119,52845995,52870938,53294271,53467258,53503071,53914330,53919371,54386723,54695560,54857931,55028315,55404511,55481883,55572995,55736611,56269019,56334204,56447794,56483434,56623551,56775532,57165340,57555483,57658911,57748115,57773491,57926620,58409725,58588683,58637169,59085540,59325418,59516511,59799571,60439331,60647883,60673498,61282138,61327951,61356251,61499165,61532505,61596508,63024576,63415194,64697196,65039242,65256681,65286943,65634672,65816072,65825899,66033978,66159771,66298331,66687594,66928115,67050634,67304938,67779483,68102962,68598408,68602651,68933923,69072995,69191691,69292383,69297738,69438268,69511944,69795483,69896031,69907258,70091670,70100939,70197531,70212058,70412842,70902648,71169091,71203378,71510205,71513899,71935423,72697756,72852857,72868619,73118620,73400091,73699071,73762522,73798998,73839006,73876540,73877915,74043081,74395851,74764448,74937765,74942111,74946634,75289983,75332092,75494578,75523471,75759523,75785883,76075816,76277552,76676991,76775883,77173209,77664831,77686525,77804458,78120058,78200937,78523531,78795263,79571962,79623730,79633311,79765479,79823711,79886332,79933616,80023132,80221983,80313738,80474879,80690620,80809791,81212794,81384491,81449458,81631048,81787551,82474858,82665483,82803323,82887594,83310508,84110004,84128191,84681274,84712089,85157576,85190811,85528771,85577883,85585293,85755178,85812246,86107723,86220223,86357356,86637251,87160799,87371899,87742344,87855950,87892251,87911971,88050634,88116442,88146525,88468683,88651848,88653498,89211625,89575941,89600159,89606188,89925318,90204995,90483052,90658858,91031194,91633852,91834929,91909131,92764383,92796508,92934172,93223830,93794218,94022960,94090911,94793411,95358298,95527036,95548476,95684699,95786620,95802273,95915315,96020363,96223474,96303898,96828744,96917631,97574091,97608538,97690831,97855071,98042271,98093599,98710137,98883483,99003898,99438752,99722751,99733329,99866698,...,10016804039176260063297694719832310188420905674117119352585181895402342949618724829915948660635030098965888890318706177285482067339153546091806073172085876330442702565021805145429771709787528256041747532901025076678014421958364233557735642058564109899620791095239001160998838640718624616119760816804936510980355797686491938822642289429948588007548471505669481287958908095120593214497563279149405057187389088537521258224123012332162550072689083163849696295738075440918845412522406283120858660589718336618686104301973045217310428162681158100675000032932239474023549993618063915801516458071855043820371484744204115173711038968561261946999563002956758759173765261060324263538547699330761931253704749780221164601435380371902537311104086153381847482459063089463213702728517940312533116396530457088152443273611892281877538640519518320695813819105872046834350179964170319376200287944770156149970503734946366879039316218180267699949050232269975717392161295913057961247800749810824873472141428416972382131825610946405031164351924349511771663896754322531002743483318250168951379887225063675896243357946358761309533434265039549900916971510402496470558161915709048989267228961455692632743741051229013594959194472088324040593000432462074347036520041756414068522444850616493449229596934084924162394313196079292266943342030219731716594405826821841918322757609400638884361771906968201038804486779387515601015456739140345297742213495129326067804710473374215353396178119435605906835911942498315060753580243188984257623782939600436431325445140475548449869622084972430560866741927055193939314472304609498440296629670397399937447913050165068950074706151416616300769074161827033380659513831868081553242110545355369272581212313653588160892489800405242590791597016978249818682583211143662487170358915552596421872821984957669961812962558932173017968976578657602309496398305600701998612739960609570701457407251467651477300490882195012603983135705444245602156335657115666815109542179832191193322059572052307251470661111110074294036469128209737969188156641193815310070856507903297337803282033709865445232679412432027405828337327576289054381920603635225436491360367814735511446299211339537131317739338376546079786848101352047612042844544572153263225575467765006047819242758818302762787155358364039080691549649755671321874116576421789122300370252018322748750356460627079530533515261604303917304352626076730197812134595517950032141312860744090339416003047236523274693614811189827812603489742608186388559055982689951786248079103894868771819476500004136391382223878334268364954128527530772948855849016769400962222200789379028445353594641783845591906942795501215788904276583568078352389527138460295947126383336941130247952109818205149431900406713440441516935773494636082998671267750757774854049461721330933489554773011664587740081784466862243651599680554339248686110322266185351377573524922875417846659079049018142434364846774356815721800179696800292210590587370563987427020389842721863256862625808522990799033156919642449153826263195156988872577844426970041702761287225839827359548123684129790525184559795383787}
19342  22821589363060651392870830257238386641325990267736280794536163737331986: {270662,386660,444337,463992,521991,791341,1022317,1197158,1468244,1598497,2239844,2516641,2582582,2627384,2812982,2856548,2955807,3430177,3962822,4192358,4880102,5017777,5130637,5274087,5471828,5918641,6023462,6085844,6278675,6852644,7252664,7261297,7437815,7534410,7618118,7771748,8036704,8150641,8159247,8230868,8372257,8925378,9041292,9326247,9476017,9759188,10064468,10335398,10625450,10681837,11102675,11118157,11227057,11987341,12045668,12106743,12564951,12583958,12750540,12801867,13252834,13323210,13600576,13869668,13926182,14211424,14958275,15083108,15205741,15234644,15300648,15524017,15929798,15987852,16264141,17105677,17213229,17315341,17417967,17634795,17838241,17949930,17976679,18053915,18567277,18810448,18878641,18932620,19146592,19163348,19363335,19590515,19615268,19911841,20220397,20518244,20559542,20654224,20735675,20902983,20937841,21161754,21539916,21651757,21664698,22159537,22719144,22842547,23169697,23236002,23370068,23471341,23508618,23879247,24472141,24693638,24882810,25559037,25613348,25663597,25680970,25700279,25762417,25959841,26521592,26541664,27046600,27253844,27432824,27626317,27679715,27723697,27834027,27986450,27989835,28134662,28427675,28596877,28741844,28854995,29202422,29524047,29711895,29836791,29855824,29859372,30163064,30427425,30478982,30516397,30817164,30861927,31171115,31692688,31708244,31750358,31856228,31937137,32168794,32455920,32595062,32632210,32688241,33186644,33215658,33437462,33551007,33583740,33587802,33898957,33933447,34083663,34113210,34182071,34619648,34625994,35147675,35654274,35822656,36133844,36223125,36374641,36387424,36512910,36589335,36687100,37007917,37405338,37602644,37822262,38029478,38353057,38443478,38638000,38656618,38784471,38947104,39028624,39045923,39158652,39226424,39253115,39329197,39542450,39682022,39837291,39941675,40129592,40300488,40646257,40676708,40710182,40788951,40820641,40915382,40935852,41120438,41255341,41515297,42177210,42548641,42551798,43231777,43449495,43467750,43815492,43907202,43976102,44024520,44129727,44333367,44372999,44835757,44989024,45086641,45145791,45338049,45478868,45606687,45955420,46166317,46200038,46346128,46348244,46365600,46602518,46803542,46920731,46959488,47103738,47152141,47450940,47803597,47806502,47858615,47930010,48372308,48558275,48831530,49237844,49332337,49456640,49527585,49571341,49602758,50182143,50205517,50323767,50533988,50599537,50612652,50614336,50826515,51125344,51189638,51632367,51693217,52139394,52161300,52176758,52258148,52311841,52829424,53141195,53160278,53838241,54293675,54964141,55116518,55146504,55223740,55413195,55638720,55779890,55835348,55853197,55926817,56089238,56180795,56440141,56586157,56941128,57182991,57384097,57430338,57516012,57528241,57589063,57638102,57887341,58205607,58269930,58597836,58600141,58601462,58963064,59107408,59108708,59347968,59433102,60004141,60023607,60557677,60809828,60822951,60991818,61279718,61515277,61558431,61849958,62039787,62039817,62154592,62190637,62257777,62521415,62593560,62797478,63175478,63352868,63409784,63716641,63769434,64043341,64058769,64117958,64238497,64562317,64761188,65042468,65152410,65418892,65431382,65459437,65464148,65649841,65650600,66268488,66279841,66333447,66404977,66495834,66566339,66742858,66766464,66771627,66935868,66963543,67147988,67416954,67640497,67851878,68247457,68369450,68548237,68847217,68966948,69025741,69130743,69246308,69321841,69329318,69495904,69733357,69791857,69923916,69941914,70417755,70494584,70946737,70969415,71059028,71060641,71336007,71337428,71427167,71456675,71457037,71664027,71892662,71905741,72072817,72077847,72353039,72408275,72625057,73143908,73344758,73439917,73465071,73525622,73856925,73975844,74080141,74501197,74512879,74552049,74709997,75025698,75112272,75498068,75505622,75635341,75988897,76139341,76740644,76774551,76878548,76881841,76995635,77367841,77570367,77703757,77900703,78000422,78118244,78177542,78182892,78708038,78780720,78874657,79148977,79306407,79355348,79404314,79765142,79991483,80132641,80200887,80264077,80642102,80783341,80863844,80868877,80871495,81625741,82043340,82157857,82270090,82385222,82558897,82756717,83146957,83605741,83793841,84032768,84091057,84419917,84501306,84553592,84635917,84671691,84707341,84725151,84808594,85163298,85302817,85643377,85677037,85748010,86262928,86463277,86495137,86797835,86809777,86849942,86889930,86933617,87008908,87387757,87512896,87564877,88045304,88052641,88213028,88372742,88519597,88628310,88916792,88940077,88988127,88991341,89067697,89381462,89415457,89549078,90001357,90051062,90113137,90223117,90372644,90458737,90562957,90872195,90961837,91000141,91010247,91278241,91398275,91404943,91464544,91573837,91714982,91817377,91833037,91923207,92255588,92255857,92345675,92389844,92394762,92396984,92400397,92663341,92682592,92685517,92722223,92739697,93009841,93060644,93076657,93092641,93116077,93131341,93194708,93268141,93280237,93309217,93314797,93341617,93376141,93455560,93461677,93464737,93495841,93510817,93513841,93525937,93596708,94165115,94536864,94999622,95094770,95122791,95346940,97045794,97264598,97558863,97866788,98045987,98066678,98265428,98398664,98452008,98724108,99050967,99194468,99818582,99857915,99917020,...,13355738718901680084396926293109746917894540898822825803446909193869790599491633106554598214180040131954518520424941569713976089785538061455741430896114501773923603420029073527239695613050037674722330043868033435570685895944485644743647522744752146532827721460318668214665118187624832821493014422406582014640474396915322585096856385906598117343397962007559308383945210793494124285996751038865873409583185451383361677632164016442883400096918777551799595060984100587891793883363208377494478214119624448824914805735964060289747237550241544134233333377242985965364733324824085221068688610762473391760495312992272153564948051958081682595999417337275678345565020348080432351384730265774349241671606333040294886135247173829203383081472114871175796643278750785950951603638023920416710821862040609450869924364815856375836718187359357760927751758807829395779133573285560425834933717259693541533294004979928489172052421624240356933265400309693300956522881727884077281663734333081099831296188571222629842842434147928540041552469232466015695551862339096708003657977757666891935173182966751567861657810595145015079377912353386066534555962013869995294077549220945398652356305281940923510324988068305351459945592629451098720790667243282765796048693389008552091363259800821991265639462578779898883192417594772389689257789373626308955459207769095789224430343479200851845815695875957601385072649039183354134687275652187127063656284660172434757072947297832287137861570825914141209114549256664420081004773657585312343498377252800581908433926853967397933159496113296574081155655902740258585752629739479331253728839560529866583263884066886758600099608201888821734358765549102711174212685109157442070989480727140492363441616418204784214523319733873656787722129355970999758243444281524883316227145220736795229163762646610226615750616745242897357291968771543469745995197740800935998150319947479427601943209668623535303067321176260016805310847607258994136208447542820889086812722906442921591096079429403076335294214814813432392048625504279650625584208854925087080094475343871063117071042711613153926976905883242703207771116436768385405842560804846967248655147157086314015261732281786049508423652451168728106382464135136063482723792726096204350967433957020008063758990345091070350382873811152052107588732866340895095832155435229052163067160336024430331667141947502772707378020348805738556405803501435640263749512794023933376188417147658787119221337396315364366258153081586437083471319656810915184745407976919935714997438805193158362425968666672181855176298504445691153272171370041030598474465355692534616296267719172037927138126189045127455875923727334954385205702111424104469852702851280394596168511115921506997269479757606865909200542284587255355914364659514777331561690334343699805399282295107911319406364015552783653442379289149658202132907405785664914813763021580468503431366563833890462212105398690856579153129032475754295733572929067056280787449827418649902693853123629151009150167744697321065377542559523265538435017593542651830103792569293388937015049634453103146064164912173054033579413060511716}
19343  22911636837558443315226351978784564346573771669244418932792171737953780: {405993,483325,579990,618656,695988,1795737,1835305,2202366,2298961,2762617,2799805,3284230,3359766,3570685,3873873,3941076,4219473,4284822,4675198,4885177,5580301,5944233,6288537,6346081,6581641,6839785,7032116,7276477,7320153,7607305,8207742,8434537,8565805,9035193,9065830,9123697,9128766,9538646,9714685,10045880,10278966,10281037,10288585,10878996,11301615,11427177,11657622,11900504,12055056,12132781,12198985,12314038,12346302,12434996,12508177,12580585,13388067,13561938,13753057,14638782,15057085,15093382,15096702,15464977,15503097,15938175,16142324,16459142,16753268,17000720,17069156,17337085,17364973,17398678,17574337,17764280,17776057,18068502,18072446,18853885,18875937,19043305,19125810,19324801,19879251,19984815,20400864,20804502,20834113,20889273,21317136,21365641,21936001,22624662,22851966,22915597,22950972,23206393,23223956,23486473,23513060,23665775,23889217,23894697,23933240,23954185,23981778,24003721,24519085,25647805,25731526,25817780,26123846,26260921,26392681,26924895,27020377,27731102,27870644,28215672,28398930,28719888,28745022,28886264,29105581,29212585,29422902,30082558,30292192,30557462,30777366,30839313,30981336,31344824,31433617,31440937,31642537,31742631,31838996,31859641,32016685,32309874,32497047,33151990,33177080,33491401,33808250,33953617,34067305,34078716,34150046,34291030,34323121,34854003,34959361,35055102,35113393,35262927,35927305,36723433,36908173,37040457,37112036,37153597,37319780,37324215,37703830,38420022,38521455,39365396,39365857,39537446,39615860,39635305,39782388,39812496,39820285,40215241,40552862,40569900,40632097,40880766,41089552,41149236,41246017,41483305,41602873,41828077,41979675,42201993,42521041,43084093,43112766,43274560,43803633,44212262,44287544,44379841,44645737,44734676,44778320,44783736,44789058,45167305,45244596,45444884,45484280,45718473,45858875,46167992,46225746,46289017,47003305,47283193,47522137,47539032,47562366,47625537,47784342,48161977,48253191,48297500,48500582,48683880,48785780,48892593,48948315,49033030,49779966,49823487,49873784,49918993,50156193,50161990,50375610,50381703,50845885,51169815,51365822,51592681,51712628,51718982,51929472,51938991,52211536,52268926,52682641,52753046,53100673,53116388,53344201,53396726,53481411,53733984,54036733,54200766,54385268,54466646,54581136,54769365,55030650,55166617,55483561,55981441,56108007,56236280,56274877,56403966,56733393,56848585,57044217,57383257,57444275,57665217,57932660,57935305,57957000,57984927,58420656,58542936,58699360,58737978,58839636,58886641,59111156,59202166,59313675,59523033,59599321,60135337,60149641,60194388,60445633,60450732,60465385,60785161,60808916,61015062,61065273,61321657,61373073,61403778,61547305,61680657,61682761,61820800,62254777,62804984,62875318,63167485,63265815,63267920,63722893,63827697,63906680,64748758,65201625,65322685,65402257,65723238,65860803,65964153,66036780,66909524,67098356,67483536,68218302,68843156,68933130,69029675,69182641,69197593,69300057,69519192,69522366,69548400,69794185,69903777,70108237,70205313,70404862,70439232,70655607,71176410,71709753,71819593,71895015,72321097,72511933,72558462,72799718,72876217,72911542,73247295,73520497,73528672,73695457,73703830,73808662,73856766,73884260,73885885,73984393,74184960,74404137,74924377,74949913,75223166,75480062,75800982,75918978,75921504,76012285,76243988,76573784,76688016,76784457,77039641,77550481,77607476,77693240,77788777,77802193,77894041,78130448,78209091,78241950,78265137,78352573,78387222,78803497,79130624,79191085,79244136,79262230,79580246,79675657,79740417,80031476,80342881,80422078,80436457,80483257,80847361,80951485,81097268,81303085,81322424,81773615,81830185,82063250,82077908,82674777,82719716,82719756,82741777,82835610,83202841,83312461,83458080,83669835,83753022,83914777,83934985,84133857,84491593,85025912,85411692,86098831,86145507,86208685,86274018,86457153,86557885,86869880,87066662,87170017,87221821,87404895,87516817,87576841,87896754,87902193,88118230,88357984,88444596,88513897,88661112,88663062,88823785,89021952,89028836,89149653,89171785,89247824,89284724,89889272,90015937,90959137,91214742,91429885,91487727,91919577,92174324,92469805,92774937,93231888,93699361,93890340,94193438,94196217,94337113,94372585,94556542,94763217,95029302,95114676,95377046,95552036,95654151,95925805,96030397,96098185,96099817,96103796,96176937,96702193,97141782,97563702,97647805,97728615,97953428,98128338,98147073,98196222,98475900,99194185,99402732,99743751,...,20033608078352520126595389439664620376841811348234238705170363790804685899237449659831897321270060197931777780637412354570964134678307092183612146344171752660885405130043610290859543419575056512083495065802050153356028843916728467115471284117128219799241582190478002321997677281437249232239521633609873021960711595372983877645284578859897176015096943011338962575917816190241186428995126558298810114374778177075042516448246024664325100145378166327699392591476150881837690825044812566241717321179436673237372208603946090434620856325362316201350000065864478948047099987236127831603032916143710087640742969488408230347422077937122523893999126005913517518347530522120648527077095398661523862507409499560442329202870760743805074622208172306763694964918126178926427405457035880625066232793060914176304886547223784563755077281039036641391627638211744093668700359928340638752400575889540312299941007469892733758078632436360535399898100464539951434784322591826115922495601499621649746944282856833944764263651221892810062328703848699023543327793508645062005486966636500337902759774450127351792486715892717522619066868530079099801833943020804992941116323831418097978534457922911385265487482102458027189918388944176648081186000864924148694073040083512828137044889701232986898459193868169848324788626392158584533886684060439463433188811653643683836645515218801277768723543813936402077608973558775031202030913478280690595484426990258652135609420946748430706792356238871211813671823884996630121507160486377968515247565879200872862650890280951096899739244169944861121733483854110387878628944609218996880593259340794799874895826100330137900149412302833232601538148323654066761319027663736163106484221090710738545162424627307176321784979600810485181583194033956499637365166422287324974340717831105192843745643969915339923625925117864346035937953157315204618992796611201403997225479921219141402914814502935302954600981764390025207966271410888491204312671314231333630219084359664382386644119144104614502941322222220148588072938256419475938376313282387630620141713015806594675606564067419730890465358824864054811656674655152578108763841207270450872982720735629471022892598422679074262635478676753092159573696202704095224085689089144306526451150935530012095638485517636605525574310716728078161383099299511342643748233152843578244600740504036645497500712921254159061067030523208607834608705252153460395624269191035900064282625721488180678832006094473046549387229622379655625206979485216372777118111965379903572496158207789737543638953000008272782764447756668536729908257055061545897711698033538801924444401578758056890707189283567691183813885591002431577808553167136156704779054276920591894252766673882260495904219636410298863800813426880883033871546989272165997342535501515549708098923442661866979109546023329175480163568933724487303199361108678497372220644532370702755147049845750835693318158098036284868729693548713631443600359393600584421181174741127974854040779685443726513725251617045981598066313839284898307652526390313977745155688853940083405522574451679654719096247368259581050369119590767574}
19344  23002037076323724438503442560207287369948859449359310352949756142985770: {212663,541324,773320,829943,869985,888674,927984,1043982,1368383,1582682,2044634,2058359,2173103,2394316,2516903,2631359,2936488,3126503,3196994,3303549,3468503,4263983,4479688,4905359,4926345,5018303,5033282,5039649,5165164,5168783,5254768,5581943,5625964,5713096,5844359,5911614,5956703,6293303,6427233,6860354,7012797,7521959,7925644,8151503,8188463,8384716,8790145,9760204,10035554,10172423,10261274,10281959,10412941,10464359,10548174,10719383,10943656,11010359,11264543,11482103,11807903,11837282,12024743,12046924,12171688,12205223,12311613,12557350,12565583,12745463,13534559,13598745,13693149,13705288,13963343,14070359,14141663,14307969,14505328,14522594,14875630,15068820,15207383,15236236,15242783,15313559,15418449,15543496,15543745,15949103,16073408,16301063,16301282,16318494,16371359,16461736,16744514,16792463,17421959,17486433,17850756,17944559,18082584,18187823,18471057,18519453,18652494,18880703,18915263,18952034,19518376,19845359,19914023,19948343,20128936,20177905,20342907,20670796,20941585,20974223,21144503,21250900,21336445,21363674,21789743,21958173,21992903,22060559,22161983,22205350,22236314,22454114,22640073,22645053,23172263,23406959,23473943,23507423,23974682,24091336,24213486,24574559,24674183,24688713,25129902,25167916,25275481,25501080,25501583,25603734,25666463,25995623,26098017,26455103,26505668,26646420,26651543,27102753,27108669,27201152,27426721,27629423,27739336,27852364,28115663,28341959,28422848,28503359,28688715,28986359,29029945,29391325,29403503,29916550,30166216,30329183,30373057,30411482,30469288,30601296,30741959,31048034,31206753,31859596,31975704,32272225,32316959,32528282,32535863,32629559,32723183,32785559,33159143,33345503,33933743,33936993,34211354,34277949,34426458,34580543,34630682,34734023,34835934,34838305,34856663,34948559,35101559,35269590,35498423,35676482,35899860,35953358,35972667,36015359,36107830,36409103,36771359,36831623,37012223,37132463,37134554,37620896,37757282,37821359,37865240,38030183,38268359,38293184,38326696,38476343,38597289,38713559,38726670,38751601,39156959,39181030,39185769,39230536,39363263,39686663,39798745,39823682,39950543,40038359,40388903,40396993,40440794,40912559,40999583,41036488,41119084,41260223,41308448,41471350,41596653,41721983,41805966,41875682,42323508,42410783,42598395,42924359,43079832,43117533,43303514,43329396,43639561,44134353,44319074,44533583,44701463,44757359,44841143,45092063,45119903,45123837,45438288,45508823,45685094,45836193,46006559,46166049,46199423,46281959,46339394,46390045,46472004,46649725,46740136,46942682,47017236,47021543,47103359,47646959,47758494,47917559,48052559,48464811,48536903,48944282,49178663,49206745,49387276,49519825,49727985,49765620,50631983,50712375,51118074,51225069,51226696,51327194,51361940,51400558,51436545,51524834,51699623,51880559,51919682,52344023,52395359,52440817,52574783,52582653,53043184,53083328,53491343,53844983,53870183,54093200,54297359,54507688,54865648,54921359,54954361,54995903,55045559,55252634,55359430,55447394,55451773,55668054,55786559,55918345,55958423,55972900,55979670,56031959,56154359,56269324,56325383,56471663,56555745,56763359,56806105,56836103,56855350,56884559,57193754,57483688,57559583,57607559,57630033,57709990,57846959,57894743,58404844,58607663,58984943,59048094,59102423,59306169,59423790,59453663,59616959,59663543,59673582,59711648,59718744,59965559,60326128,60371875,60427559,60588503,60726143,60829293,60854850,60957964,60982225,61000559,61032794,61321149,61523303,61634328,61723854,62019359,62198783,62342230,62622863,62800559,63132359,63385376,63416488,63500716,63712456,63874274,64073543,64182023,64268663,64337588,64376783,64506263,64640785,64669149,64911840,64978559,65190124,65264420,65376482,65721959,65974583,66246959,66318393,66351359,66373288,66395485,66431316,66725543,66874924,66932303,66973559,67002061,67035383,67102014,67167480,67175604,67183587,67281959,67425263,67731023,67791959,67797914,67852823,67866894,67981585,68034983,68167326,68226420,68364142,68737223,69054983,69239296,69251988,69331343,69338619,69645263,69684359,69742943,69820943,70295350,71089463,71127359,71157121,71184143,71308548,71316359,71343549,71645312,71676513,71748023,71915783,71934383,72193943,72267688,72415825,72446250,72653543,72749282,72750873,72774848,73025820,73071959,73178670,73252559,73288583,73374200,73549545,73878359,73888945,74015834,74090663,74196383,74397673,74669949,74720663,74810676,74841959,75134903,75205288,75242985,75408503,75561503,75563415,75612359,75644524,75646223,75663143,75899183,76011145,76058956,76167023,76663703,76706114,76811303,76886956,77048733,77153183,77276000,77313236,77346959,77379143,77395223,77427359,77568942,77578473,77858063,77894208,77905559,78057248,78091846,78317304,78403389,78452848,78485423,78506230,78609359,78653113,78658394,78717383,78993359,79069559,79084900,79129569,79175903,79342223,79364044,79492583,79522559,79674582,79883350,80095089,80115359,80259184,80406959,80450423,80600976,81292514,81301149,81304583,81353416,81420364,81471959,81577902,81610559,81641282,81699969,81830764,81871704,82183943,82240876,82251263,82425359,82465343,82510682,82545975,82584863,82978583,83017559,83030594,83172743,83428823,83618783,83636905,83819423,83872945,83881703,83993303,84354420,84553583,84605949,84661223,84732623,84909863,85073663,85097282,85103596,85247423,85316423,85453559,85487663,85508137,85533023,85623359,85701983,85902359,85924463,86053945,86230559,86252183,86391959,86413343,86463554,86635943,86898990,86935500,86947823,87372359,87529981,87618359,87630984,87647543,87666959,87814404,87952204,87954359,88049040,88076663,88106967,88259454,88435463,88462559,88641359,88666734,88729559,88745998,88747103,88803249,88903559,88929383,88989359,89091263,89430743,89607359,89671514,89748983,89764559,89880359,89978048,90016943,90106559,90173282,90195023,90238823,90291582,90311183,90325559,90411143,90432359,90523463,90585743,90676098,90728543,90957736,91035359,91054343,91079543,91213374,91221959,91282559,91294583,91471103,91522593,91590383,91629359,91656959,91711559,91896359,91910840,92081063,92105667,92204303,92317703,92332634,92339783,92355325,92400076,92557559,92565503,92589143,92627903,92662103,92673359,92691959,92692256,92696488,92731200,92840303,92899559,92931359,93097343,93105359,93110663,93113303,93149423,93151943,93205036,93210023,93257063,93276143,93306503,93327623,93361823,93391559,93396263,93435359,93456983,93460559,93475223,93480503,93484583,93492359,93503063,93507983,93521663,93528263,93542543,93545183,93607084,93841462,93918976,94207476,94304282,94312977,94535389,94901880,95304985,95607194,95613004,95717230,95860020,96744616,97009345,97116550,97123137,97663060,98475688,98584857,98664674,98913280,99055170,99142682,99205516,99357181,...,30050412117528780189893084159496930565262717022351358057755545686207028848856174489747845981905090296897666670956118531856446202017460638275418219516257628991328107695065415436289315129362584768125242598703075230034043265875092700673206926175692329698862373285717003482996515922155873848359282450414809532941067393059475816467926868289845764022645414517008443863876724285361779643492689837448215171562167265612563774672369036996487650218067249491549088887214226322756536237567218849362575981769155009856058312905919135651931284488043474302025000098796718422070649980854191747404549374215565131461114454232612345521133116905683785840998689008870276277521295783180972790615643097992285793761114249340663493804306141115707611933312258460145542447377189268389641108185553820937599349189591371264457329820835676845632615921558554962087441457317616140503050539892510958128600863834310468449911511204839100637117948654540803099847150696809927152176483887739173883743402249432474620416424285250917146395476832839215093493055773048535314991690262967593008230449954750506854139661675191027688730073839076283928600302795118649702750914531207489411674485747127146967801686884367077898231223153687040784877583416264972121779001297386223041109560125269242205567334551849480347688790802254772487182939588237876800830026090659195149783217480465525754968272828201916653085315720904603116413460338162546803046370217421035893226640485387978203414131420122646060188534358306817720507735827494945182260740729566952772871348818801309293976335421426645349608866254917291682600225781165581817943416913828495320889889011192199812343739150495206850224118454249848902307222485481100141978541495604244659726331636066107817743636940960764482677469401215727772374791050934749456047749633430987461511076746657789265618465954873009885438887676796519053906929735972806928489194916802105995838219881828712104372221754402954431901472646585037811949407116332736806469006971347000445328626539496573579966178716156921754411983333330222882109407384629213907564469923581445930212569523709892013409846101129596335698038237296082217485011982728867163145761810905676309474081103444206534338897634018611393953218015129638239360544304056142836128533633716459789676726403295018143457728276454908288361466075092117242074648949267013965622349729265367366901110756054968246251069381881238591600545784812911751913057878230190593436403786553850096423938582232271018248009141709569824080844433569483437810469227824559165677167948069855358744237311684606315458429500012409174146671635002805094862385582592318846567547050308202886666602368137085336060783925351536775720828386503647366712829750704235057168581415380887841379150010823390743856329454615448295701220140321324550807320483908248996013803252273324562148385163992800468664319034993763220245353400586730954799041663017746058330966798556054132720574768626253539977237147054427303094540323070447165400539090400876631771762111691962281061169528165589770587877425568972397099470758927347461478789585470966617733533280910125108283861677519482078644371052389371575553679386151361}
19345  23092791451444455712248678739638395757949194458819194877776115656457687: {676655,811986,966650,1159980,1237312,1333011,1391976,1565973,2374023,2569427,2992895,3066951,3264911,3591474,3670610,3919727,4404732,4597922,4795491,4998959,5525234,5599610,5773391,6236807,6456455,6568460,6719532,7032455,7141370,7549923,7747746,7778303,7882152,8438946,8569644,8867421,9350396,9575699,9770354,9907055,10290531,10480895,10650227,10782551,11160602,11888466,11992127,12200255,12577074,12692162,12932183,13163282,13560167,13600559,13679570,14064232,14199779,14404019,14552954,14640306,14782391,15053331,15058655,15214610,15391911,15822261,16415484,16869074,17078579,17131610,17612819,17755923,18070386,18131660,18247394,18257532,18276791,18836025,19045295,19077292,19407911,19429370,19979879,20091760,20525879,20557932,20562074,20577170,20769671,21079919,21598307,21757992,21783891,21788723,22313445,22603230,22854354,23315244,23801008,24033431,24110112,24265562,24271919,24397970,24451923,24477741,24495983,24516707,24628076,24692604,24869992,25016354,25116771,25161170,25250303,25838495,25851407,26395439,26563625,26660627,26776134,26832179,27123876,27506114,27978741,28072019,28232711,28428051,29228039,29277564,30114170,30186764,30193404,30929954,31006194,31459895,31711919,31862963,31876350,32045511,32284648,32319071,32529767,32918284,33132085,33308025,33354471,33506536,33535859,33681171,34001440,34138312,34326719,34674170,34729946,34797356,34815455,35148674,35528560,35552114,35609891,35612807,35906927,35962023,36137004,36144892,36320229,37157471,37400807,37652303,37694853,37707770,37751874,38086610,38251620,38405601,38649602,39072227,39758502,39824495,39969630,40636343,40801728,40897619,41250311,41609004,41668226,41778546,42020567,42634272,42731282,43868471,43872002,44071967,44823359,44874825,45249324,45529811,45617223,45703932,45831194,45901944,46412786,46447912,46572051,46972946,47026120,47331550,47527103,47694227,47778434,47789394,47866480,47908370,47963556,48007442,48019751,48166991,48792423,49038170,49481363,50298227,50535599,51295610,51317031,51398855,51463052,51635560,51639687,51946023,52247692,52253901,52448903,52521842,52785362,52844039,52904385,53514723,53849790,53930037,54040754,54063047,54161745,55152479,55462204,55489427,55701831,55741288,55748399,56431344,56635923,56797860,57389231,57439776,57490044,57558383,57772528,58076627,58090005,58211162,58425170,58712243,58771545,58845804,59305763,59347811,59735523,60155903,60165116,60558419,60584384,60661191,60713327,61114924,61328051,61340723,61554732,61678626,61734095,61962672,62173823,62207025,62261303,62689648,62708949,62813523,62867234,62881874,63234227,63285074,63288167,63485262,63677992,63709619,63719282,64033370,64202425,64619748,64955271,64994094,65196911,65804627,66303980,66354160,66478611,66982802,67616500,67907234,68134610,68157432,68300092,68527641,68582060,68592611,68646242,68948279,69509091,69593303,69708006,69918722,69966125,70110204,70226786,70336655,70414023,70525854,71184239,71360147,71637741,71776559,71854610,73006055,73416423,73446866,73528151,73816346,74080914,74224072,74307194,74358311,74639560,74648430,75407660,75972707,76197455,76386239,76677111,76840044,76990791,77042910,77100837,77287251,77879523,77902163,78199439,78730792,78731714,79074892,79231720,79270610,79375895,79564776,79588019,79624992,79640570,79683983,80421985,80430482,80444831,81105724,81109427,81139800,81264194,81487655,81580525,81761303,81761532,82179104,82298472,82492034,82750391,82878951,82966610,83039145,83171091,83205746,83211503,83502081,83593655,83656154,83959350,83969505,84403986,84651539,85042082,85283025,85546583,85790631,86166227,86168186,86225532,86238179,86549120,86564985,86674067,87094631,87586103,87607266,88424524,88434479,88546991,88572141,88575088,88759682,89135685,89291474,89469352,89510373,89523827,89556640,89567472,89578116,89702003,89711159,90131519,90334610,90489192,90889768,90968560,91282275,91367699,91436946,91451759,91549191,91717750,91932191,92335984,92451492,92578034,92585781,93113927,93237119,93513345,94006610,94555655,94566386,95044274,95073695,95078064,95124732,95251074,95568684,95811411,96108695,96323954,96506382,96595000,96641545,97001164,97367760,97571560,97711859,97785186,97896630,98064723,98066060,98856125,99205055,99559932,99646974,99747568,99837986,...,40067216156705040253190778879329240753683622696468477410340727581609371798474899319663794642540120395863555561274824709141928269356614184367224292688343505321770810260087220581719086839150113024166990131604100306712057687833456934230942568234256439598483164380956004643995354562874498464479043267219746043921423190745967755290569157719794352030193886022677925151835632380482372857990253116597620228749556354150085032896492049328650200290756332655398785182952301763675381650089625132483434642358873346474744417207892180869241712650724632402700000131728957896094199974472255663206065832287420175281485938976816460694844155874245047787998252011827035036695061044241297054154190797323047725014818999120884658405741521487610149244416344613527389929836252357852854810914071761250132465586121828352609773094447569127510154562078073282783255276423488187337400719856681277504801151779080624599882014939785467516157264872721070799796200929079902869568645183652231844991202999243299493888565713667889528527302443785620124657407697398047086655587017290124010973933273000675805519548900254703584973431785435045238133737060158199603667886041609985882232647662836195957068915845822770530974964204916054379836777888353296162372001729848297388146080167025656274089779402465973796918387736339696649577252784317169067773368120878926866377623307287367673291030437602555537447087627872804155217947117550062404061826956561381190968853980517304271218841893496861413584712477742423627343647769993260243014320972755937030495131758401745725301780561902193799478488339889722243466967708220775757257889218437993761186518681589599749791652200660275800298824605666465203076296647308133522638055327472326212968442181421477090324849254614352643569959201620970363166388067912999274730332844574649948681435662210385687491287939830679847251850235728692071875906314630409237985593222402807994450959842438282805829629005870605909201963528780050415932542821776982408625342628462667260438168719328764773288238288209229005882644444440297176145876512838951876752626564775261240283426031613189351213128134839461780930717649728109623313349310305156217527682414540901745965441471258942045785196845358148525270957353506184319147392405408190448171378178288613052902301871060024191276971035273211051148621433456156322766198599022685287496466305687156489201481008073290995001425842508318122134061046417215669217410504306920791248538382071800128565251442976361357664012188946093098774459244759311250413958970432745554236223930759807144992316415579475087277906000016545565528895513337073459816514110123091795423396067077603848888803157516113781414378567135382367627771182004863155617106334272313409558108553841183788505533347764520991808439272820597727601626853761766067743093978544331994685071003031099416197846885323733958219092046658350960327137867448974606398722217356994744441289064741405510294099691501671386636316196072569737459387097427262887200718787201168842362349482255949708081559370887453027450503234091963196132627678569796615305052780627955490311377707880166811045148903359309438192494736519162100738239181535148}
19346  23183901340307192550072863521695491044885395208102246056921084201475008: {251329,425326,714433,1082648,1217979,1406929,1449975,1522093,1546640,1659886,1739970,1777348,1855968,1867153,2087964,2096833,2440813,2669773,2736766,3126829,3165364,4089268,4116718,4346206,4788632,5033806,5262718,5282113,5387211,5505915,5872976,6253006,6393988,6406033,6607098,6896883,6937006,6965293,7076929,8189329,8210575,8287851,8399415,8527966,8959376,9184333,9810718,9852690,10036606,10066564,10079298,10330328,10337566,10509536,10712055,11163886,11251928,11426192,11621619,11687995,11688718,11823228,11913406,12306203,12586606,12658419,12854466,13213633,13720708,14025594,14655531,15043918,15244429,15350593,15774529,15851288,16303006,16376926,16724173,16740903,16769432,16934413,17580290,17772493,17832699,18865611,18917329,19020973,19038243,19520408,19744923,19950529,20071108,20344846,20361793,20464429,20519355,20522548,20563918,20566993,20825882,20928718,21096348,21438766,21761243,21829431,21887312,21960459,21995329,22020718,22529086,22603153,22664575,22821915,22964206,23409553,23510029,23615806,23674564,23846615,24049486,24093848,24343376,24410446,24623226,25114700,25131166,25303611,25490926,25504429,25697415,26490829,27069118,27105579,27197490,27371091,27386298,27410576,27926686,28140718,28249067,28283326,28345153,28538833,28615938,29010656,29045188,29144055,29318219,29406829,29751260,29871023,30137640,30364429,30414766,30472472,30485566,30627118,30745453,30785095,30836898,30843111,30865755,31086992,31087490,31220113,31898206,32146816,32602126,32602564,32636988,32742718,32820493,32923472,33489028,33584926,33904845,34281531,34492333,34843918,34972866,35136193,35502529,35701512,35889118,35895431,36049873,36165168,36375646,36398343,36596955,36775633,36866029,36942114,37038906,37304988,37406893,37524531,37733455,37741755,37761406,37830526,37904068,38302573,38747713,39036752,39102529,39690718,39828046,39896686,40164201,40257872,40355810,40422829,40641923,40685814,41147855,41259171,41341592,41640493,41883170,41948446,42158029,42289006,42501800,42672890,42727348,43496695,43579486,43779793,43916346,43985806,44121118,44202253,44323966,44410700,44472628,44790673,44908228,45125329,45171255,45181115,45280146,45290106,46344526,46394931,46509291,46813918,46947886,47014846,47814525,47949364,48182672,48426972,48773627,49149118,49348366,49377426,50086093,50259804,50335832,50550962,51002160,51003166,51186829,51207468,51332926,51991246,52011255,52094919,52196034,52427533,52723011,52910206,53011336,53117329,53292840,53303086,53328171,53714683,53876929,54205506,54217338,54402304,54629329,54853442,54928273,55077313,55258846,55478672,55704728,55718243,55818193,56185933,56231326,56561655,56627811,56683918,56770573,56843329,56845696,57006718,57129915,57377430,57854353,57972718,57974403,58059890,58212013,58354573,58782650,58807006,59637753,59694529,59833100,59954445,60320173,60332432,60458413,60658366,60746114,60822964,60938576,61202592,61357879,61483918,61689613,61975511,62027473,62096068,62413506,62502339,62667819,62830993,63096529,63162733,63719192,63951408,64096923,64328815,64406929,64544450,64633918,64946063,65056564,65071726,65259118,65309615,65370829,65446366,65571118,65808003,66004429,66318286,66691006,67003213,67311553,67495693,67867486,67873986,68422708,68466829,68555898,68746791,68852916,68889443,69161086,69261364,69327755,69468046,69619179,69654829,69671868,69676610,69713326,69713473,69897118,69947329,70203118,70459419,70539180,70871233,70996846,70997325,71326273,71352964,71667651,71684091,71720653,71799720,71862555,71906716,71944429,71945334,72011163,72030718,72215660,72818206,73532353,73542718,73557255,73663246,74024446,74264926,74269108,74852653,75206395,75241792,75419329,75514564,75642718,75674029,75730480,76060366,76393655,76536718,76586368,76625473,76653392,76943415,76952686,77164429,77194578,77406529,77427118,77453340,77454733,77503202,78169153,78285683,78313918,78362060,78371538,78403693,78461072,78726526,78782763,79096513,79178043,79373326,79528547,79597490,79647364,79901086,80076718,80127373,80346433,80650093,80774685,80777806,80793986,80881588,81061131,81246829,81498253,81825118,81829453,81999166,82072976,82238168,82438033,82478029,82520446,82616896,82637293,82676929,82716493,82879975,82942700,83030413,83193306,83443966,83611932,83751364,83795053,84166573,84520625,84647016,84781633,84821566,84923329,85098829,85196790,85272529,85375115,85478593,85727575,85848718,86159664,86235066,86244493,86607028,86658792,86723473,86786113,87279122,87316743,87632833,87637755,87921553,87978433,88268706,88368529,88638148,88665133,88875373,89067166,89282029,89402926,89514718,89550913,89682286,89880529,89903533,90184126,90239806,90247674,90348493,90497099,90642829,90744529,90824593,90876576,90961933,91017646,91057873,91370188,91493329,91578829,91645933,91672386,91824529,91918273,92013118,92054029,92332098,92398846,92464429,92517939,92563918,92598673,92633773,92656813,92678788,92767693,92780090,92944008,92949133,92953679,92958529,93131329,93170029,93242029,93299450,93330733,93410113,93454033,93480272,93490753,93512173,93522829,93563329,93566353,93885364,94034472,94043086,94206718,94259575,94300851,94322811,94927611,95174219,95227893,95293918,95516988,95578923,95835118,96050055,96105118,96929622,97073806,97491141,97888564,98357326,98413490,98774552,98843615,99039650,99455970,99531240,...,60100824235057560379786168318993861130525434044702716115511091372414057697712348979495691963810180593795333341912237063712892404034921276550836439032515257982656215390130830872578630258725169536250485197406150460068086531750185401346413852351384659397724746571434006965993031844311747696718564900829619065882134786118951632935853736579691528045290829034016887727753448570723559286985379674896430343124334531225127549344738073992975300436134498983098177774428452645513072475134437698725151963538310019712116625811838271303862568976086948604050000197593436844141299961708383494809098748431130262922228908465224691042266233811367571681997378017740552555042591566361945581231286195984571587522228498681326987608612282231415223866624516920291084894754378536779282216371107641875198698379182742528914659641671353691265231843117109924174882914635232281006101079785021916257201727668620936899823022409678201274235897309081606199694301393619854304352967775478347767486804498864949240832848570501834292790953665678430186986111546097070629983380525935186016460899909501013708279323350382055377460147678152567857200605590237299405501829062414978823348971494254293935603373768734155796462446307374081569755166832529944243558002594772446082219120250538484411134669103698960695377581604509544974365879176475753601660052181318390299566434960931051509936545656403833306170631441809206232826920676325093606092740434842071786453280970775956406828262840245292120377068716613635441015471654989890364521481459133905545742697637602618587952670842853290699217732509834583365200451562331163635886833827656990641779778022384399624687478300990413700448236908499697804614444970962200283957082991208489319452663272132215635487273881921528965354938802431455544749582101869498912095499266861974923022153493315578531236931909746019770877775353593038107813859471945613856978389833604211991676439763657424208744443508805908863802945293170075623898814232665473612938013942694000890657253078993147159932357432313843508823966666660445764218814769258427815128939847162891860425139047419784026819692202259192671396076474592164434970023965457734326291523621811352618948162206888413068677795268037222787906436030259276478721088608112285672257067267432919579353452806590036286915456552909816576722932150184234484149297898534027931244699458530734733802221512109936492502138763762477183201091569625823503826115756460381186872807573107700192847877164464542036496018283419139648161688867138966875620938455649118331354335896139710717488474623369212630916859000024818348293343270005610189724771165184637693135094100616405773333204736274170672121567850703073551441656773007294733425659501408470114337162830761775682758300021646781487712658909230896591402440280642649101614640967816497992027606504546649124296770327985600937328638069987526440490706801173461909598083326035492116661933597112108265441149537252507079954474294108854606189080646140894330801078180801753263543524223383924562122339056331179541175754851137944794198941517854694922957579170941933235467066561820250216567723355038964157288742104778743151107358772302722}
19347  23275368125617399882199693487997075249745042573455589602436245451651564: {637989,947317,1353310,1623972,1933300,2221685,2319960,2474624,2489829,2609955,2666022,2783952,3131946,3612653,3956705,4105149,4190053,4748046,5111585,5138854,5985790,6133902,6175077,6519309,6529822,6970549,7182948,7341220,7550709,7839454,7894077,7992485,8809464,9039037,9195844,9379509,9515393,9590982,9845437,9910647,9972413,9997918,10210229,10405509,11050468,11199220,11546782,12473614,12583205,12791949,12912910,13136920,13439064,13444433,13869877,14064910,14282740,14673253,14716077,14779035,15054909,15099846,15118947,15283489,15495492,15506349,15556606,15764304,16222049,16745829,16781557,16877892,17080357,17139288,17150885,17533077,17734842,17870109,18700792,18879909,19151398,19281699,19540708,19814110,20581062,20961790,21038391,21082117,21300454,21565102,22321204,22330453,22565877,23245613,23776932,23984254,24257857,24400510,24454509,24565389,25088885,25154148,25384324,25653185,25690909,25750309,25864366,26326564,26370435,26384737,26663413,27120334,27201118,27359140,28128464,28399558,28808038,28892749,29105908,29280612,29564782,29593205,30106662,30117310,30429220,30517269,30653797,30783822,30845877,31238823,31393077,31393375,31644522,31710757,32158149,32830968,32952149,33031077,33738148,33793629,34157158,34263220,34446309,35225638,35423709,35442733,35511846,36074229,36140772,36173893,36263320,36306485,36467189,36494788,36515064,36553582,36615669,36934839,37112093,37189075,37656229,37672050,37696749,37720133,38090590,38154584,38236389,38815822,38858740,39802549,39959758,39980173,40183520,40603677,40753205,40796235,41051758,41079447,41115864,41124148,41154340,41474213,41539342,41861285,41890029,42159838,42211077,42424989,42923907,43196614,43444993,43515984,43567782,43577446,44043853,44626890,45206460,45622149,45708708,45728349,45940677,46255347,46384919,46630488,46631235,47111413,47380085,47602016,47847309,48024769,48066862,48220224,48531124,48543838,48585473,48741637,48795940,48903189,48903846,48955482,48991966,49033414,49114077,49256152,49385208,49739984,49929389,50032708,50233542,50322340,50377389,50500606,51676990,51702814,51959137,52265877,52459299,52790878,53127250,53321254,53409185,53552268,53664358,53833677,53936333,54247752,54403757,54563469,55012228,55178189,55413171,55421797,55513375,55558359,55590785,55754293,55957482,56135285,56144038,56212213,56340737,56465422,56642109,56745789,56856102,57791533,58456078,58555128,59536077,59611733,59742069,59845029,59936705,60228340,60366109,60373528,60386808,60533715,61028721,61347109,61859908,62012388,62144333,62824755,62919790,62922669,63423838,63433509,63725926,63752700,64009335,64091022,64569296,64638142,64900453,65059534,65369229,65836568,65874519,65978709,66181677,66264170,66485949,66616050,66708942,67013072,67071718,67362342,67920219,67935159,68002880,68276624,68653438,68955457,69348340,69459892,69516789,69594712,69630910,70088629,70220877,70297348,70421829,70522269,71057120,71104228,71219782,71225614,71813854,71924046,71958397,72274008,72289784,72640458,73197877,73582037,73723677,74022549,74066139,74314942,74791375,74801614,75304606,75389706,75415540,75503748,75826443,76028705,76173220,76206113,76503240,76504749,76811202,76999389,77299204,77620085,77986869,78144454,78294051,78548053,79365309,79517004,79648990,79939260,79954629,80112397,80359613,81074213,81272686,81308259,81320705,81326007,81410093,81603456,81795238,82280163,82500622,82888269,83218008,83329937,83336452,83557092,84041134,84346989,84509189,85025877,85268544,85462564,85510077,85528385,85555489,86066145,86247157,86427733,86576705,86959077,87089835,87188453,87399373,87736942,87744004,88143934,88173975,88210509,89191205,89646718,89749650,89883395,90140917,90269575,90498648,90987549,91059622,91119171,91234446,91407864,91662388,91803888,92225877,92558533,92825572,92836385,92895824,93144102,93620259,93941437,93945892,94052240,94393205,94663100,94823297,95054206,95388454,95556868,95578788,95732960,95816740,95927112,96014884,96039502,96333982,96816675,96930053,96950877,97584846,97607589,97888677,97952575,98076340,98169549,98356677,98471317,98962726,99350549,99477429,99559205,...,90151236352586340569679252478490791695788151067054074173266637058621086546568523469243537945715270890693000012868355595569338606052381914826254658548772886973984323085196246308867945388087754304375727796109225690102129797625278102019620778527076989096587119857151010448989547766467621545077847351244428598823202179178427449403780604869537292067936243551025331591630172856085338930478069512344645514686501796837691324017107110989462950654201748474647266661642678968269608712701656548087727945307465029568174938717757406955793853464130422906075000296390155266211949942562575242213648122646695394383343362697837036563399350717051357522996067026610828832563887349542918371846929293976857381283342748021990481412918423347122835799936775380436627342131567805168923324556661462812798047568774113793371989462507030536897847764675664886262324371952848421509151619677532874385802591502931405349734533614517301911353845963622409299541452090429781456529451663217521651230206748297423861249272855752751439186430498517645280479167319145605944975070788902779024691349864251520562418985025573083066190221517228851785800908385355949108252743593622468235023457241381440903405060653101233694693669461061122354632750248794916365337003892158669123328680375807726616702003655548441043066372406764317461548818764713630402490078271977585449349652441396577264904818484605749959255947162713809349240381014487640409139110652263107679679921456163934610242394260367938180565603074920453161523207482484835546782222188700858318614046456403927881929006264279936048826598764751875047800677343496745453830250741485485962669667033576599437031217451485620550672355362749546706921667456443300425935624486812733979178994908198323453230910822882293448032408203647183317124373152804248368143248900292962384533230239973367796855397864619029656316663030389557161720789207918420785467584750406317987514659645486136313116665263208863295704417939755113435848221348998210419407020914041001335985879618489720739898536148470765263235949999990668646328222153887641722693409770744337790637708571129676040229538303388789007094114711888246652455035948186601489437285432717028928422243310332619603016692902055834181859654045388914718081632912168428508385600901149379369030179209885054430373184829364724865084398225276351726223946847801041896867049187796102100703332268164904738753208145643715774801637354438735255739173634690571780309211359661550289271815746696813054744027425128709472242533300708450313431407683473677497031503844209566076232711935053818946375288500037227522440014905008415284587156747776956539702641150924608659999807104411256008182351776054610327162485159510942100138489252112705171505744246142663524137450032470172231568988363846344887103660420963973652421961451724746988041409756819973686445155491978401405992957104981289660736060201760192864397124989053238174992900395668162398161724305878760619931711441163281909283620969211341496201617271202629895315286335075886843183508584496769311763632276706917191298412276782042384436368756412899853200599842730375324851585032558446235933113157168114726661038158454083}
19348  23367193195419844538559765652916350094853802907240240433903058046207184: {502658,560251,850652,907147,1138051,1428866,1714051,2029965,2165296,2416625,2435958,2631907,2813858,2899950,3044186,3093280,3203227,3319772,3479940,3554696,3658987,3711936,3734306,3999033,4175928,4193666,4340467,4697919,4881626,5132251,5339546,5473532,5920507,6032827,6253658,6330728,6593347,7122069,7375051,7597747,7708281,8153227,8178536,8233436,8485651,8692412,8978685,9038251,9176525,9200853,9577264,9589051,9794733,10067612,10525436,10564226,10774422,11011830,11230651,11494805,11557027,11745952,11759181,12099547,12506012,12640267,12787976,12812066,13214196,13793766,13813085,13874012,13930586,13999025,14144707,14153858,14386473,14996877,14998051,15316867,16363193,16374907,16378658,16421150,16575702,16798830,17055932,17320173,17425747,17853425,17918752,17948467,18368666,18677251,18710421,19369365,19402507,19621436,19705380,19918387,20021347,20073212,20133128,20158596,20660656,20675132,21019072,21097365,21424110,22065427,22268251,22327772,22503856,22649769,22774051,22852384,23243238,23278051,23334909,23375990,23377436,23479147,23579587,23646456,23826812,24425885,24480307,24580027,24612406,25173212,25276051,25316838,25573267,25708932,25771051,26427266,26602263,26951707,27441416,27733051,27901505,28051188,28412947,28703251,28727097,29311062,29474227,29721165,30087836,30336067,30488858,30701186,30871593,31442685,31549058,31702576,31730405,31950681,32347653,32606012,32699467,32753852,32793067,32908205,33385261,33448346,33481806,33538864,33632227,33868826,34198925,34649947,35109667,35160580,35544986,35665398,35976381,36382385,36600765,36840187,37731222,37834658,38036525,38041946,38076486,38796549,39040816,39489846,39718613,39901058,40142216,40680501,40689692,40723586,40801677,40835107,40922227,40928858,41038710,41045096,41127836,41133986,41356747,41530051,41651764,41789467,41857436,42172685,42192696,42421873,42599337,42829025,42877532,43099133,43212057,43522486,43658862,43774624,43920918,43990658,44041436,44347173,44347987,44768107,44935651,45058172,45159993,45175965,45206306,45329150,45353251,45519787,45618485,45643830,45928412,46175733,46348147,46595251,46819106,47020058,47169307,47231612,47349128,47466783,47658547,47693230,48064267,48098972,48187696,48573425,48686752,48820892,49030651,49246452,50229400,50262332,50607222,50618251,50981852,51008858,51235737,51394830,51405185,51442925,51790051,51945067,52331347,52408387,52826837,52838457,52981658,53267769,53555347,54085051,54138236,54211158,54394980,54742182,54772596,54821152,54830373,54984907,55059427,55853372,55948051,56168587,56281436,56461627,56498134,56508075,56566652,56690306,56899027,57077666,57135885,57231876,57606997,57622267,57909547,58021312,58090376,58124251,58223733,58288110,58636438,58693627,58813658,58835251,59047147,59328667,59502520,59678947,59742046,59939637,60027427,60275280,60663905,60728858,60787747,60829532,60895373,60944944,60971132,60994925,61254236,61267051,61490906,61570190,61577637,61607251,61673796,61686222,61731510,61945651,62173984,62174980,62282251,62309013,62440226,62540885,62902925,63239757,63253561,63480989,63741907,63796412,63807427,64068787,64293632,64393867,64794921,65204252,65205128,65273976,65351673,65366169,65485436,65640986,65676187,65739547,65846944,65866051,66306547,66369187,66619027,66940335,66978056,66991627,67169852,67809690,68335651,68563062,68576453,68636251,68755987,68765285,68984666,69054067,69687836,69703507,69820651,69945732,70272386,71005058,71147107,71403024,71778236,71790862,71935867,72099746,72100293,72330336,72513857,72655651,72751292,72796686,72815757,73193910,73309267,73355769,73433223,73471051,73487949,73550121,73551266,73732058,73884228,74077812,74111707,74428147,74609976,74813786,74897947,75049062,75156427,75285425,75350313,75464227,75466910,75483510,75522812,75661052,75667987,75750909,75808136,75921067,76222387,76322251,76605146,76915387,77305051,77324885,77401747,77449987,77495426,77515485,77546251,77554221,78073504,78205058,78955651,79047307,79184251,79186317,79320547,79381436,79546267,79656092,79690875,79793372,79948027,79981881,80168707,80328402,80496537,80515744,80711620,80734051,80845658,81033427,81283846,81371628,81496747,81663067,82195651,82276507,82295710,82518342,82683184,82795051,83185651,83280986,83766340,83896892,83936223,84216057,84316058,84496051,84578012,84676051,84698133,84747547,84960307,85003600,85205251,85284153,85345780,85454696,85650787,85718251,85952107,86149747,86280067,86356853,86441347,86537251,86685425,86824865,86852251,86993390,87007051,87068467,87158972,87220747,87401107,87559586,87608251,87684117,87695947,87832692,87871685,87971612,87983587,88242236,88404506,88644547,88647932,88777027,88821400,88880285,88933627,88945256,89036587,89062147,89113051,89485651,89581346,89653987,89795467,89816456,90060341,90182251,90250658,90342510,90357067,90362230,90442747,90560292,90569107,90580212,90610651,91010251,91067707,91327267,91433461,91504027,91673587,91883251,92210347,92452051,92600227,92689052,92715787,92726947,92789862,92855251,92905651,92925307,93018582,93146707,93208051,93297907,93370051,93412387,93431827,93454507,93475387,93521251,93540907,93552787,93554947,93584251,93627836,93895772,94029692,94269425,94379685,95135757,95216525,95588889,95629050,95898728,96136533,96365344,96624005,96853944,96957213,97058857,97547254,97589301,98298236,98696732,98754852,99396255,99924075,...,120201648470115120759572336637987722261050868089405432231022182744828115395424697958991383927620361187590666683824474127425784808069842553101672878065030515965312430780261661745157260517450339072500970394812300920136173063500370802692827704702769318795449493142868013931986063688623495393437129801659238131764269572237903265871707473159383056090581658068033775455506897141447118573970759349792860686248669062450255098689476147985950600872268997966196355548856905291026144950268875397450303927076620039424233251623676542607725137952173897208100000395186873688282599923416766989618197496862260525844457816930449382084532467622735143363994756035481105110085183132723891162462572391969143175044456997362653975217224564462830447733249033840582169789508757073558564432742215283750397396758365485057829319283342707382530463686234219848349765829270464562012202159570043832514403455337241873799646044819356402548471794618163212399388602787239708608705935550956695534973608997729898481665697141003668585581907331356860373972223092194141259966761051870372032921799819002027416558646700764110754920295356305135714401211180474598811003658124829957646697942988508587871206747537468311592924892614748163139510333665059888487116005189544892164438240501076968822269338207397921390755163209019089948731758352951507203320104362636780599132869921862103019873091312807666612341262883618412465653841352650187212185480869684143572906561941551912813656525680490584240754137433227270882030943309979780729042962918267811091485395275205237175905341685706581398435465019669166730400903124662327271773667655313981283559556044768799249374956601980827400896473816999395609228889941924400567914165982416978638905326544264431270974547763843057930709877604862911089499164203738997824190998533723949846044306986631157062473863819492039541755550707186076215627718943891227713956779667208423983352879527314848417488887017611817727605890586340151247797628465330947225876027885388001781314506157986294319864714864627687017647933333320891528437629538516855630257879694325783720850278094839568053639384404518385342792152949184328869940047930915468652583047243622705237896324413776826137355590536074445575812872060518552957442177216224571344514134534865839158706905613180072573830913105819633153445864300368468968298595797068055862489398917061469467604443024219872985004277527524954366402183139251647007652231512920762373745615146215400385695754328929084072992036566838279296323377734277933751241876911298236662708671792279421434976949246738425261833718000049636696586686540011220379449542330369275386270188201232811546666409472548341344243135701406147102883313546014589466851319002816940228674325661523551365516600043293562975425317818461793182804880561285298203229281935632995984055213009093298248593540655971201874657276139975052880981413602346923819196166652070984233323867194224216530882299074505014159908948588217709212378161292281788661602156361603506527087048446767849124244678112662359082351509702275889588397883035709389845915158341883866470934133123640500433135446710077928314577484209557486302214717544605444}
19349  23459377943119065254681927869278705436451370260413107385572286989333605: {753987,1063315,1275978,1894634,2143299,2706620,3110359,3247944,3653937,3866600,4037671,4149715,4220787,4269499,4349925,4443370,4566279,4639920,4949248,4979658,5219910,5332044,5539387,5567904,5601459,6159571,6263892,6290499,6841915,7156219,7225306,7322439,7549819,7855507,7913410,8009319,8210298,8380106,9380487,9496092,10171627,10223170,10277708,10291795,10634851,10865515,11189479,11785579,11971580,12267804,12350154,12584515,13038618,13059644,13156795,13941098,14100259,14365896,14682440,15026131,15047527,15101418,15632515,15678908,15788154,15846339,15984970,16161633,16414939,16517745,16736071,17340811,17342515,17616487,17618928,18078074,18391688,18759018,18844771,19030786,19181964,19218099,19330819,19690874,19821294,19944826,19995836,20420458,20690649,20811018,20895879,21230787,21319915,21372307,22100936,22398440,22634887,23093564,23493787,23900419,24011239,24526795,24567987,24631725,24863553,24947228,25091515,25166410,25198245,25583898,25825820,25843915,25980391,26145319,26269099,26273840,26837767,26878128,26888866,27160339,27552999,27677287,27739754,27909715,28129820,28565480,29221795,29346506,29432154,29558070,29613379,29678119,29783515,30109818,30199692,30237894,30566978,30990984,31012698,31113212,31466515,31528608,32136165,32387827,32444098,33019627,33125587,33491658,33563114,33755784,34069171,34160714,34278576,34301770,34864857,35063985,35066154,35124439,35224711,35469684,35740218,35914459,36918609,36919699,37401584,37609795,37759818,37766899,37975257,38141587,38302796,38563398,38922439,39081416,39378139,39628220,39633691,39640899,40757515,40942315,41162124,41430487,41478547,41895271,41923580,42076782,42164234,42600908,43097587,43130204,43950725,43966593,44578339,44642408,44660906,45131754,45733287,46051779,46303459,46491226,46563331,47297959,47323587,47553864,47949259,47968508,48515714,48590539,48801020,48909018,49014979,49130778,49237627,49635211,49934587,50172519,50177770,50222709,50308296,50768648,50803239,50829079,50862115,51306370,51381818,51409795,51500618,51728732,52064705,52321795,52653128,52699207,52740870,52769474,53317479,53326826,53498097,53596915,53941987,54240668,54301411,54402236,54718280,55051795,55998907,56256928,56292451,56322715,56425171,56596833,56751987,56799116,57054487,57062919,57114729,57410515,57616076,57785498,58211816,58561224,58605799,59039515,59129564,59186410,59234769,59617939,59851587,60123715,60154099,60213324,60234620,60725971,60804199,60858440,61026115,61034538,61085379,61307594,61393287,61558065,61567644,61691754,61700979,62150827,62477646,62786154,62786750,62795059,62827915,62941339,62969059,63289044,63421514,63722887,63727315,63742939,64173847,64267687,64316298,65210587,65283729,65488293,65661936,65881377,65904298,65985987,66062154,66332119,66943111,67476296,67587258,67672795,67809459,67993725,68314316,68465745,68526440,68587027,68892618,69455431,69816715,70130131,70228659,70351795,70436707,70451276,70530087,70708315,70847418,70885466,71023692,71539845,71791507,71842087,72148458,72281544,72347786,72526640,72612970,72934378,72989576,73030128,73107164,73231338,73869678,74224186,74378150,74772859,74948071,74973319,75312458,75344100,75393498,75440266,75910833,76036915,76181180,76213915,76214059,76309168,76402147,76472778,76513287,76567795,77092245,77318611,77631644,77717480,77718725,77827099,78589399,79040071,79472487,79536187,79605098,79745515,79919516,79960346,80367040,80367979,80508391,81207354,81316737,81418627,81461707,81505315,81506410,81592470,81856795,82103516,82113273,82158894,82231728,82248296,82308680,82948426,83078684,83722570,83780058,83911387,83962315,84319676,84422154,84517987,84747201,84849978,85035459,85257499,85616499,85847814,86393228,86889986,87031968,87109795,87135564,87154892,87197671,87249139,87432165,87604627,87954657,88087706,88220487,89253780,89542471,89613069,89722795,90412920,90555139,90599419,90939115,90987751,91006627,91093287,91244298,91263271,91386727,91417416,91456698,91881354,92236359,92355285,92510694,92529333,92597265,92769838,92970307,93133459,93260976,93262470,93660339,94056679,94222826,94403515,94576315,94760170,95204032,95694618,95814979,96049538,96133724,96440448,96822487,97062248,97087676,97170946,97483274,97591880,97806378,97807692,97910964,97983932,98066828,98228154,98461479,98512304,98770416,99226795,99360931,99368071,99479968,99570115,99741715,99858778,99875467,...,180302472705172681139358504956981583391576302134108148346533274117242173093137046938487075891430541781386000025736711191138677212104763829652509317097545773947968646170392492617735890776175508608751455592218451380204259595250556204039241557054153978193174239714302020897979095532935243090155694702488857197646404358356854898807561209739074584135872487102050663183260345712170677860956139024689291029373003593675382648034214221978925901308403496949294533323285357936539217425403313096175455890614930059136349877435514813911587706928260845812150000592780310532423899885125150484427296245293390788766686725395674073126798701434102715045992134053221657665127774699085836743693858587953714762566685496043980962825836846694245671599873550760873254684263135610337846649113322925625596095137548227586743978925014061073795695529351329772524648743905696843018303239355065748771605183005862810699469067229034603822707691927244818599082904180859562913058903326435043302460413496594847722498545711505502878372860997035290560958334638291211889950141577805558049382699728503041124837970051146166132380443034457703571601816770711898216505487187244936470046914482762881806810121306202467389387338922122244709265500497589832730674007784317338246657360751615453233404007311096882086132744813528634923097637529427260804980156543955170898699304882793154529809636969211499918511894325427618698480762028975280818278221304526215359359842912327869220484788520735876361131206149840906323046414964969671093564444377401716637228092912807855763858012528559872097653197529503750095601354686993490907660501482970971925339334067153198874062434902971241101344710725499093413843334912886600851871248973625467958357989816396646906461821645764586896064816407294366634248746305608496736286497800585924769066460479946735593710795729238059312633326060779114323441578415836841570935169500812635975029319290972272626233330526417726591408835879510226871696442697996420838814041828082002671971759236979441479797072296941530526471899999981337292656444307775283445386819541488675581275417142259352080459076606777578014188229423776493304910071896373202978874570865434057856844486620665239206033385804111668363719308090777829436163265824336857016771201802298758738060358419770108860746369658729449730168796450552703452447893695602083793734098375592204201406664536329809477506416291287431549603274708877470511478347269381143560618422719323100578543631493393626109488054850257418944485066601416900626862815366947354994063007688419132152465423870107637892750577000074455044880029810016830569174313495553913079405282301849217319999614208822512016364703552109220654324970319021884200276978504225410343011488492285327048274900064940344463137976727692689774207320841927947304843922903449493976082819513639947372890310983956802811985914209962579321472120403520385728794249978106476349985800791336324796323448611757521239863422882326563818567241938422682992403234542405259790630572670151773686367017168993538623527264553413834382596824553564084768872737512825799706401199685460750649703170065116892471866226314336229453322076316908166}
19350  23551923767499920593730542871298108662139169250832118976659042679518089: {328661,598889,791669,1005316,1120502,1176629,1599161,1701304,1814294,1913967,1944149,2173781,2276102,2517689,2632181,2670329,2841951,2857732,3203561,3383275,3428102,3697301,4038329,4059930,4330592,4378709,4833250,4871916,5019881,5132789,5170409,5263814,5283221,5358389,5627716,5799900,5958581,6088372,6186560,6406454,6407381,6631349,6639544,6665055,6959880,7109392,7317974,7423872,7468612,7469487,7829865,7998066,8154089,8191061,8301929,8351856,8387332,8680934,9259769,9395838,9763252,10264502,10285241,10467701,10577081,10679092,10832021,10837959,10947064,11122901,11268149,11377001,11594489,11811689,11841014,11870115,12065654,12315447,12317369,12507316,12570159,12661456,12847135,13186694,13646261,14074901,14244138,14750102,14786741,14964475,14999669,15035129,15195494,15318521,15334755,15353909,15416562,15848501,16092727,16306454,16324555,16357072,16466872,16727801,16797929,16971302,17252981,17384824,17532341,17846009,17957370,18054761,18076502,18297941,18353050,18401706,18506069,18525231,18713909,19025129,19154528,19178102,19197749,19338319,19404629,19439081,19557927,19589466,19598635,19954901,20023541,20135224,20366261,20911647,20947049,21050872,21128452,21457589,21548844,21796949,22023660,22067861,22169321,22270709,22304489,22461302,22652127,22989610,23114054,23280629,23314169,23481749,23491904,23515241,23518362,23582201,23682231,23977455,24199094,24483029,24682421,24994795,25012024,25280534,25575952,25576121,25609109,25624132,25773929,25905641,26102969,26428392,26562281,26758649,26954729,27117111,27150521,27476201,27587532,27626170,27736169,27748024,27861172,27865961,27998050,28138527,28289414,28307716,28416149,28546179,28609781,28738709,28772946,28866955,28996181,29477561,29509589,29536311,29731941,29893301,29917239,29993754,29996102,30371321,30630687,30633734,30657269,30847541,31184035,31216527,31227221,31763129,32077289,32282275,32547029,32640761,32726386,32734421,32749814,32757316,32828009,32842300,33151404,33170549,33263801,33597660,33636089,33667061,33914549,34111864,34196239,34284821,34640346,34684649,34851494,34960661,35144309,35162275,35706850,35837504,35896934,36391529,36737332,36844469,36874601,37145429,37354502,37420842,37749615,37924181,38371001,38375847,38489849,38738730,38805014,38816021,38891515,39062107,39170741,39242872,39347669,39410760,39788729,39836774,40042694,40052501,40146424,40257209,40266256,40317192,40333299,41014121,41321312,41350264,41361641,41609631,41650361,42038144,42194730,42425909,42683129,42848220,43422569,43677269,43846709,44019759,44130854,44148231,44212841,44337105,44353301,44381369,44391391,44422567,44536502,44633621,44655544,44801429,44857301,44941049,45007712,45164727,45219689,45299538,45356841,45386489,45548102,45704768,45850467,46023221,46071487,46188629,46298741,46381241,46486476,46519047,46556102,46669818,46751980,46754872,46940179,46958294,47120501,47159174,47292912,47653624,47664341,47745641,47878495,47935061,48231929,48635189,48666147,48851770,48960614,49063349,49160054,49196729,49224812,49535275,49701749,50151161,50237487,50344671,50346424,50552102,50624489,50633676,50650709,50935339,51146534,51199481,51241071,51251561,51417864,51452655,51542102,51796469,52363541,52404475,52440569,52599231,52854532,53204526,53251135,53511401,53610327,53713769,53903414,53912755,54116969,54392981,54842549,54882832,54991829,55016681,55091189,55363769,55466102,55803010,55807721,55881461,55979669,56053241,56102376,56200169,56493161,56639727,56825894,56857781,56906261,56978921,57406502,57454194,57557609,57845097,57916949,58012469,58622124,58701161,58724789,58948454,59041759,59359721,59442330,59709941,59960635,59988821,60127829,60175672,60335801,60381929,60520121,60672134,60977716,61001275,61024361,61275029,61402372,61411349,61615289,61637909,61743186,61976249,62223221,62290409,62424569,62885370,62891861,63098116,63115173,63157301,63246351,63377621,63405152,63460810,63640949,63750329,63837689,63865879,63901362,63946709,64099001,64272569,64424021,64596629,64660915,64682741,64695306,65111381,65212024,65398934,65507704,65586134,65816410,66001109,66440681,66627989,66648761,66770522,66896692,66897401,66963612,66991359,67021289,67062521,67077728,67264454,67513961,67677161,67697631,67737652,67758569,67800835,67819541,67880441,68002795,68224181,68365049,68397850,69063509,69083321,69142709,69299894,69438569,69713081,69732629,69736839,69771701,69830249,69849749,69966581,70005461,70141289,70219334,70321160,70431029,70527209,70699829,70833641,70986089,70998895,71089972,71100089,71213801,71330796,71778041,71834069,71952762,71964521,71967259,72020095,72665849,72684149,72739001,72764770,72773571,73157141,73201530,73363527,73553141,73680374,73696167,73911955,74280809,74908649,75022987,75218681,75266655,75293275,75462444,75475061,75492089,75644981,75669316,75695801,75746549,75932009,75982421,76073050,76083892,76152972,76333289,76349909,76644271,76746389,76926569,76959555,77072727,77250927,77316329,77332469,77429141,77461301,77477369,77557589,77593098,77812949,77939861,78081632,78097781,78457961,78690581,78798521,78979692,78982649,79111305,79154211,79211189,79437226,79647929,79752341,79802116,79990239,80180729,80284432,80370581,80486741,80760569,80832149,80974709,81044899,81045689,81059861,81271481,81341621,81361002,81379384,81447172,81523049,81550841,81603354,81670214,81730709,81844454,81854441,81857716,81922901,82077420,82090192,82127081,82221749,82255672,82267972,82329461,82503401,82662761,82713494,82860341,83056121,83060102,83211449,83303528,83578934,83657909,83708309,83714872,83846249,83958389,84193001,84345370,84376181,84385392,84473141,84521429,84629609,84701369,84772841,84808469,84843746,84929467,84973781,85114229,85198674,85230389,85357241,85392895,85471721,85528661,85658050,85698281,85743209,85755064,85899449,85999061,86174549,86198266,86228969,86294009,86326421,86424114,86593721,86678247,86814389,87021269,87044972,87317724,87415481,87445301,87514601,87549248,87557239,87661781,87691001,87739541,87841836,87981316,87998201,88007669,88064095,88082872,88287989,88479929,88507061,88694346,88695974,88779615,88818281,88948661,88974521,89000309,89034581,89085749,89136629,89187221,89329001,89500949,89536214,89581589,89597621,89771861,89871302,89911541,89926901,90116344,90175721,90285941,90319986,90336761,90351930,90380009,90394361,90412612,90479801,90550121,90633449,90658300,90706502,90929129,91039574,91090229,91102901,91159529,91236970,91287660,91367609,91383955,91403369,91485689,91520489,91526261,91537781,91551807,91611881,91690169,91695701,91856824,91884281,91920821,91961391,92097641,92131829,92146361,92255381,92351466,92443541,92507321,92536469,92537631,92581481,92641301,92653049,92691689,92696294,92725781,92755541,92770229,92809961,92872889,92876309,92903381,92923349,92946281,92984681,92994101,93040121,93081449,93159401,93167381,93188309,93190502,93213749,93264569,93278441,93305321,93337301,93353621,93361589,93367481,93379049,93388469,93415529,93430901,93450389,93451961,93473129,93494069,93495401,93516821,93540089,93541109,93560681,93562361,93567209,93571769,93578729,93581909,93585461,93587129,93589241,93600149,93603509,93603689,93605429,93638212,93716469,94040116,94179231,94180125,94338614,94463224,94698256,94933566,95132271,95226475,95317094,95386460,96128534,96197944,96271399,96375392,96474447,97039555,97146850,97373504,97641784,98061302,98492904,98856447,99093231,99899395,...,270453709057759021709037757435472375087364453201162222519799911175863259639705570407730613837145812672079000038605066786708015818157145744478763975646318660921952969255588738926603836164263262913127183388327677070306389392875834306058862335581230967289761359571453031346968643299402864635233542053733285796469606537535282348211341814608611876203808730653075994774890518568256016791434208537033936544059505390513073972051321332968388851962605245423941799984928036904808826138104969644263183835922395088704524816153272220867381560392391268718225000889170465798635849827687725726640944367940086183150030088093511109690198052151154072568988201079832486497691662048628755115540787881930572143850028244065971444238755270041368507399810326141309882026394703415506769973669984388438394142706322341380115968387521091610693543294026994658786973115858545264527454859032598623157407774508794216049203600843551905734061537890867227898624356271289344369588354989652564953690620244892271583747818567258254317559291495552935841437501957436817834925212366708337074074049592754561687256955076719249198570664551686555357402725156067847324758230780867404705070371724144322710215181959303701084081008383183367063898250746384749096011011676476007369986041127423179850106010966645323129199117220292952384646456294140891207470234815932756348048957324189731794714455453817249877767841488141428047721143043462921227417331956789323039039764368491803830727182781103814541696809224761359484569622447454506640346666566102574955842139369211783645787018792839808146479796294255625143402032030490236361490752224456457888009001100729798311093652354456861652017066088248640120765002369329901277806873460438201937536984724594970359692732468646880344097224610941549951373119458412745104429746700878887153599690719920103390566193593857088968949989091168671485162367623755262356402754251218953962543978936458408939349995789626589887113253819265340307544664046994631258221062742123004007957638855469162219695608445412295789707849999972005938984666461662925168080229312233013371913125713389028120688614910166367021282344135664739957365107844559804468311856298151086785266729930997858809050078706167502545578962136166744154244898736505285525156802703448138107090537629655163291119554488094174595253194675829055178671840543403125690601147563388306302109996804494714216259624436931147324404912063316205767217520904071715340927634078984650867815447240090439164232082275386128416727599902125350940294223050421032491094511532628698228698135805161456839125865500111682567320044715025245853761470243330869619107923452773825979999421313233768024547055328163830981487455478532826300415467756338115514517232738427990572412350097410516694706965091539034661310981262891920957265884355174240964124229270459921059335466475935204217978871314943868982208180605280578593191374967159714524978701187004487194485172917636281859795134323489845727850862907634024488604851813607889685945859005227660529550525753490307935290896830120751573895236830346127153309106269238699559601799528191125974554755097675338707799339471504344179983114475362249}
19351  23644832072748215079137887018022955084976691845397554828527477336181691: {1256645,1488641,1507974,1680753,2126630,2551956,2721441,3414153,3572165,3789268,4286598,4771793,5142153,5413240,5809601,6089895,6220718,6495888,6584369,7034645,7249875,7279493,7307874,7610465,7733200,7895721,8075342,8299430,8438033,8441574,8538998,8699850,8886740,9132558,9279840,9283781,9335765,9578681,9609681,9898496,9959316,10439820,10484165,10664088,10976961,11078774,11135808,11202918,11368289,11997099,12204065,12319142,12527784,12580998,13021401,13348865,13683830,14093757,14204201,14312438,14408513,14450612,14644878,15099638,15211721,15396753,15471401,15634145,15711014,15759113,15826820,16018638,16420596,16760212,17618321,17761521,17783441,18098481,18419513,18536729,18760974,18992184,19778993,19780041,19986101,20343254,20446340,20555416,20583590,21269702,21366207,21605033,21731030,21795521,21885521,21945113,22125153,22271093,22378958,22793241,23057969,23124843,23571158,23943160,24279521,24459681,24535608,24700308,25169030,25258181,25456953,26077236,26119288,26313590,26410565,26712233,26750321,26840561,26936055,27031601,27114753,27529575,27602559,27882196,28080761,28200518,28731792,28767153,29237141,29364880,29384199,29847881,30052262,30095054,30202836,30355673,31265030,31357816,31576308,31655681,31692678,31717361,31721813,31969940,32030165,32323266,32709521,32829878,33035490,33129041,33472142,33505313,33673481,33691953,33967721,34337513,34484415,34671081,34681622,34685030,34826465,34975433,35128121,35232974,35237856,35277543,35384645,36156148,36181481,36298641,36418769,36783376,36904289,37518036,37689542,37920801,38061572,38363928,38436198,38661638,39073601,39148421,39381748,39642588,39889652,39991672,40750133,40840916,40910513,40946645,41052875,41263193,41381298,41439255,41467913,41622036,41696921,41791758,41899649,41997075,42367049,42434121,42461574,42639830,42744614,42904361,43159419,44053121,44201872,44796880,44990631,44994153,45076421,45269774,45921665,45950601,46187128,46987574,47800838,48022478,48141749,48182033,48834713,49020101,49053590,49089579,49124721,49135974,49242761,49263450,49496801,49512593,49727106,49894456,50183030,50332820,50396490,51167796,51651640,51687830,51960519,51960782,52277241,52290638,52538198,52547680,52653713,53058329,53560275,53675534,53756256,53777732,53845401,54307073,54320678,55030289,55105998,55354574,55479508,55819430,56031753,56131263,56259640,56844689,57060521,57130960,57319241,57407153,57576341,58108095,58207521,58439975,58443590,58693012,58730561,58864308,59058401,59116140,59226758,59356238,59567030,59755161,60064041,60174689,60219636,60399384,60475788,60577313,60732293,61133956,61531015,61981968,62025396,62193221,62226424,62280881,62289209,62801621,62933030,63057216,63292095,63729521,63749621,64272330,64775654,64888196,64913969,65981561,66039254,66068165,66196281,66251174,66684293,66804753,66983316,67126228,67282121,67511568,67949307,68138342,68289281,68321428,68322153,68557152,68603540,69211769,69212369,69462689,69729714,69834153,70004727,70127970,70132308,70182713,70248878,70437441,70449422,70738761,70939368,71206961,71480436,71798981,71828918,71973713,72890587,73213121,73250513,73277655,73440921,73551113,73740081,73837218,73839398,74803168,75035681,75219590,75519636,75533798,75828153,75950514,75952721,76040513,76222145,76283174,76410101,76594001,76605592,76656089,76719801,76752965,77072513,77126796,77313153,77326673,77844878,78162832,78756278,78851801,78872645,79256440,79267382,79281798,79806789,80129081,80374721,80469953,80855121,81111161,81470201,81515030,81884630,82324248,82650929,82655321,82776233,82860974,82957094,83199153,83237489,83243381,83416001,83620865,83704515,83790542,83847160,84153564,84173201,84328468,84672065,85201816,85238841,85436561,86109753,86181291,86195174,86260408,87564713,87613889,87901450,87933186,87959081,88422681,88574993,88862465,89156678,89163495,89218241,89284816,89321812,89551793,90263508,90997289,91008201,91396241,91466574,91654361,92103558,92577809,92606918,92614779,92980001,92982452,93126662,93266321,93410993,93961001,94328055,94586645,94595918,94647174,94741913,95104865,95107728,95191215,95287793,95852043,95898518,95937016,96800321,97031428,97042959,97181078,97245041,97602040,97743401,97818036,98029958,98098401,98261556,98379201,98475254,98492513,98724615,98991641,99270422,99549881,99752645,99869174,99885881,...,360604945410345362278717009913963166783152604268216296693066548234484346186274093876974151782861083562772000051473422382277354424209527659305018634195091547895937292340784985235471781552351017217502911184436902760408519190501112408078483114108307956386348479428604041795958191065870486180311389404977714395292808716713709797615122419478149168271744974204101326366520691424341355721912278049378582058746007187350765296068428443957851802616806993898589066646570715873078434850806626192350911781229860118272699754871029627823175413856521691624300001185560621064847799770250300968854592490586781577533373450791348146253597402868205430091984268106443315330255549398171673487387717175907429525133370992087961925651673693388491343199747101521746509368526271220675693298226645851251192190275096455173487957850028122147591391058702659545049297487811393686036606478710131497543210366011725621398938134458069207645415383854489637198165808361719125826117806652870086604920826993189695444997091423011005756745721994070581121916669276582423779900283155611116098765399457006082249675940102292332264760886068915407143203633541423796433010974374489872940093828965525763613620242612404934778774677844244489418531000995179665461348015568634676493314721503230906466808014622193764172265489627057269846195275058854521609960313087910341797398609765586309059619273938422999837023788650855237396961524057950561636556442609052430718719685824655738440969577041471752722262412299681812646092829929939342187128888754803433274456185825615711527716025057119744195306395059007500191202709373986981815321002965941943850678668134306397748124869805942482202689421450998186827686669825773201703742497947250935916715979632793293812923643291529173792129632814588733268497492611216993472572995601171849538132920959893471187421591458476118625266652121558228646883156831673683141870339001625271950058638581944545252466661052835453182817671759020453743392885395992841677628083656164005343943518473958882959594144593883061052943799999962674585312888615550566890773639082977351162550834284518704160918153213555156028376458847552986609820143792746405957749141730868115713688973241330478412066771608223336727438616181555658872326531648673714033542403604597517476120716839540217721492739317458899460337592901105406904895787391204167587468196751184408402813329072659618955012832582574863099206549417754941022956694538762287121236845438646201157087262986787252218976109700514837888970133202833801253725630733894709988126015376838264304930847740215275785501154000148910089760059620033661138348626991107826158810564603698434639999228417645024032729407104218441308649940638043768400553957008450820686022976984570654096549800129880688926275953455385379548414641683855894609687845806898987952165639027279894745780621967913605623971828419925158642944240807040771457588499956212952699971601582672649592646897223515042479726845764653127637134483876845365984806469084810519581261145340303547372734034337987077247054529106827668765193649107128169537745475025651599412802399370921501299406340130233784943732452628672458906644152633816332}
19352  23738104268471403833385655777440001284048056737926171990443952513875274: {367327,657322,830287,1197778,1522567,1583338,1982647,2010632,2241004,2261961,2353258,2670607,3189945,3198322,3402608,3628588,3827934,3888298,4038751,4347562,4552204,4736585,5035378,5170951,5264362,5340658,5396527,5683902,5715464,6407122,6429897,6766550,6856204,7079167,7190767,7394602,8076658,8119860,8191927,8302807,8661184,8757418,9331077,9666500,9743832,10039762,10265578,10340818,10527628,10566442,10716778,10961811,11108425,11255432,11599800,11917162,12113013,12176744,12354751,12373120,12449145,12570967,12662361,12808497,12812908,12814762,12894751,13049775,13262698,13279088,13330110,13698837,13919760,14218784,14290327,14635948,14847744,14937224,14938974,15036751,15355567,15659730,15885487,15996132,16308178,16382122,16603858,16618161,16703712,16774664,16804377,16939927,17361868,17985989,18063265,18478713,18519538,18791676,18871497,19027207,19234351,19441207,19526504,19783525,20471167,20525745,20529004,20570482,20573767,20935402,20950265,20983447,21154162,21289951,21358184,21468657,21664042,21675918,21894128,21967317,22245802,22306951,22536298,22649457,22754002,22854377,23188978,23316751,23517847,23566521,23623378,23682028,23740230,24027957,24131308,24630894,24634738,24817951,25014632,25140318,25322912,25512967,25557925,25611967,25694270,25713589,26302951,26373388,26598007,27292522,27438089,28141461,28149802,28488276,29500204,29512927,29573482,29896687,29928950,29999338,30070258,30390988,30514881,30637042,30669510,30707818,30833124,30851047,30875385,31325527,31609351,31697002,31904553,32185454,32550751,32596545,32612908,32649110,32714144,32933744,33455602,33568437,33595858,33670927,33942604,33949351,34505962,34596487,34769648,34852745,34872751,34992713,35064682,35356737,35514847,35692018,35914740,36109522,36153004,36426007,36595882,36706100,36803412,36878887,37012138,37050462,37149751,37427818,37753545,38050258,38309056,38356204,38395498,38676638,38809258,38878162,39115854,39178932,39197270,39381751,39470385,39822751,39909802,39962425,40047082,40261951,40270448,40413737,40524607,40732522,41741767,41823294,41894098,42101744,42256904,42300777,42430951,42915178,43097688,43456087,43593898,43657649,44047320,44135722,44338642,44386687,44541418,44608978,44922604,45078393,45142581,45195185,45225127,45304254,45641647,45979220,46221751,46228108,46561258,46628338,46798327,46897545,46963498,46983808,47030482,47036724,47164402,47364462,47539017,47576965,47954910,48398188,48484899,48667951,48966058,49227185,49244817,49309327,49364842,49553235,49862065,49989590,50024048,50104567,50208213,50561068,50656951,51051145,51151904,51152242,51205807,51218218,51248264,51283927,51547858,51811282,52022433,52027545,52205938,52462553,52849461,52856784,53124562,53213527,53517298,53745751,53909458,54234222,54301042,54448121,54649927,54952402,55023607,55175064,55252340,55472338,55474757,55496048,55722344,55731922,55839367,55996100,56277054,56534313,56578828,56615432,56832298,56865007,57092358,57219562,57477418,57545892,57588967,57654297,57733910,57804751,57992362,57992457,58019887,58305727,58732327,58955122,59015287,59019178,59072622,59463882,59786602,59834478,59987508,59992204,60742642,61261374,61267468,61314538,61442047,61645951,61695082,62071947,62368070,62433054,62454442,62455087,62655751,62687637,62916025,63121447,63187687,63526258,63692361,63959745,63976951,64116921,64154578,64302751,64564550,65094058,65141407,65281522,65452772,65468842,65499628,65514632,65656018,65684600,66030967,66302808,66341098,66527602,66657727,67029893,67195320,67222165,67272178,67334122,67727209,67829098,67904661,68071951,68223728,68253607,68392478,68569642,69092767,69280692,69349385,69369298,69448087,69702988,69742207,69859351,69921322,70288618,70324550,70481361,70843447,71128927,71299351,71413700,71675008,71701257,71793868,71862751,72033717,72308287,72694351,72783058,73366265,73401967,73474664,73580385,73670887,73688938,73703961,73749202,73895175,74290858,74308951,74551589,74590659,74676367,74709004,74841684,75274545,75477857,75499230,75502927,75594735,75604951,75757447,75848362,76010167,76360951,76417445,76708207,76742002,76751694,76979698,77198167,77343751,77477460,77488687,77531745,77610028,77632042,77680927,77783030,77941173,78124214,78341482,78435957,78485744,78695338,78807297,78821520,78902407,79577458,79673548,79764247,80085388,80105002,80292848,80426287,80513301,80514418,80532512,80634384,80666598,81072127,81110245,81481017,82028242,82516087,82642624,82658997,82700528,82715167,82723282,82754767,83013601,83031861,83219262,83300722,83721367,83729145,83871847,83907785,83944889,83983951,84076288,84389460,84851818,84963727,85139407,85366258,85401785,85587751,85696440,85754425,86253751,86845138,87354538,87665385,87693418,87705487,88022287,88039518,88261708,88296462,88412887,88425682,88494751,88674210,88706602,88762738,88782782,88840137,88842007,88845134,89034357,89073004,89202367,89267242,89311088,89350545,89401951,89602858,89714602,89882098,89950087,90015424,90329454,90439378,90525281,90579593,90599076,90713682,90772978,90990847,91096204,91144351,91383967,91409536,91419751,91507951,91542727,91645327,91700934,91712287,92046442,92104687,92142974,92148751,92290951,92377258,92386207,92425951,92465047,92516167,92528767,92553751,92597482,92650807,92697607,92762482,92893951,92924407,92972952,93011887,93038094,93057967,93112204,93231847,93303487,93339636,93435751,93470527,93503960,93509744,93514087,93550447,93559951,93621007,93621727,93622951,93880358,93916588,94241002,94318348,94399545,94585824,94825813,94921169,95203913,95307248,95328682,95491282,95692729,95756990,95870122,96408495,96463858,97163481,97270378,97332294,97703540,97921228,98126698,98320108,98393458,98449624,99058881,99070550,99376761,99398453,99403498,...,540907418115518043418075514870944750174728906402324445039599822351726519279411140815461227674291625344158000077210133573416031636314291488957527951292637321843905938511177477853207672328526525826254366776655354140612778785751668612117724671162461934579522719142906062693937286598805729270467084107466571592939213075070564696422683629217223752407617461306151989549781037136512033582868417074067873088119010781026147944102642665936777703925210490847883599969856073809617652276209939288526367671844790177409049632306544441734763120784782537436450001778340931597271699655375451453281888735880172366300060176187022219380396104302308145137976402159664972995383324097257510231081575763861144287700056488131942888477510540082737014799620652282619764052789406831013539947339968776876788285412644682760231936775042183221387086588053989317573946231717090529054909718065197246314815549017588432098407201687103811468123075781734455797248712542578688739176709979305129907381240489784543167495637134516508635118582991105871682875003914873635669850424733416674148148099185509123374513910153438498397141329103373110714805450312135694649516461561734809410140743448288645420430363918607402168162016766366734127796501492769498192022023352952014739972082254846359700212021933290646258398234440585904769292912588281782414940469631865512696097914648379463589428910907634499755535682976282856095442286086925842454834663913578646078079528736983607661454365562207629083393618449522718969139244894909013280693333132205149911684278738423567291574037585679616292959592588511250286804064060980472722981504448912915776018002201459596622187304708913723304034132176497280241530004738659802555613746920876403875073969449189940719385464937293760688194449221883099902746238916825490208859493401757774307199381439840206781132387187714177937899978182337342970324735247510524712805508502437907925087957872916817878699991579253179774226507638530680615089328093989262516442125484246008015915277710938324439391216890824591579415699999944011877969332923325850336160458624466026743826251426778056241377229820332734042564688271329479914730215689119608936623712596302173570533459861995717618100157412335005091157924272333488308489797473010571050313605406896276214181075259310326582239108976188349190506389351658110357343681086806251381202295126776612604219993608989428432519248873862294648809824126632411534435041808143430681855268157969301735630894480180878328464164550772256833455199804250701880588446100842064982189023065257396457396271610322913678251731000223365134640089430050491707522940486661739238215846905547651959998842626467536049094110656327661962974910957065652600830935512676231029034465476855981144824700194821033389413930183078069322621962525783841914531768710348481928248458540919842118670932951870408435957742629887737964416361210561157186382749934319429049957402374008974388970345835272563719590268646979691455701725815268048977209703627215779371891718010455321059101051506980615870581793660241503147790473660692254306618212538477399119203599056382251949109510195350677415598678943008688359966228950724498}
19353  23831741769719376019598414132154832030413288278861188370426107877568937: {985983,1759303,1796667,2375007,2513290,2801255,2977282,3015948,3361506,3529887,4253260,4535735,4797483,4887707,5001031,5103912,5442882,5583191,5690255,5741901,5832447,6521343,6828306,7144330,7553067,7578536,7781527,7896543,8010987,8525853,8570255,8573196,8704751,9543586,9610683,9848503,10149825,10284306,10654651,10826480,11091903,11245487,11619202,12083125,12114987,12179790,12441436,12873767,12991776,13070071,13136127,13159535,13168738,14069290,14499750,14558986,14615748,14677831,15059643,15220930,15398367,15411911,15466400,15511227,15791442,15849663,16016135,16075167,16150684,16598860,16786783,16876066,16883148,17077996,17085691,17399700,17583467,17773480,17875743,18189527,18265116,18284383,18294935,18559680,18567562,18671530,18688411,19157362,19219362,19222143,19796992,19894047,19918632,19995165,20879640,20968330,21328176,21702335,21887803,21953922,22157548,22271616,22337407,22405836,22408461,22736578,23489595,23994198,24408130,24462267,24526891,24573183,24638284,24905787,25055568,25161996,25661255,25758343,26042802,26697730,27250327,27367660,27683051,27779307,28187514,28408402,28624876,28817026,28901224,29289756,29602535,30164135,30199276,30423442,30663343,30793506,30855723,30942802,31268290,31403103,31422028,31449947,31518226,31653640,31720663,31731243,32037276,32496063,32513877,32841192,32966735,33368703,33520424,33804447,34131003,34783467,35236642,35435067,35453791,35523042,35566882,35610345,35624683,36196962,36839026,36875255,36946341,36952107,36974791,37073458,37521948,37635067,37710477,37731947,37984368,37988735,38541405,39152503,39557986,39560082,39972202,40686508,40766135,40892680,40938783,41110832,41167180,41849807,42224703,42428255,42539404,42543131,42732414,43210066,43462060,43560487,43591042,43771042,43890226,44250306,44360223,44542186,44757916,44842231,44893425,44999007,45105387,45191255,45586482,45882625,45955563,46004265,46061727,46115938,46249686,46346491,47142316,47545503,47718271,47886320,47945255,48278181,48559042,48757051,48919362,48973665,49071216,49400616,49517767,49538503,50183403,50338060,50393787,50490127,50516362,50913906,51758943,52154472,52238576,52597023,52627180,52821130,53424466,53500642,53538027,53681122,53872110,54063202,54164283,54229506,54893823,55036027,55059150,55195547,55205118,55518207,55575693,55764392,56141727,56153255,56161522,56229751,56358383,56401036,56437007,57075387,57325303,57463584,57474025,57534306,57593247,57785135,58014957,58213887,58294751,58317243,58474282,58673781,58729760,58768398,58795905,59695762,59864703,60070623,60104524,60190108,60384943,60405672,60497735,60711346,61098783,61366267,62530060,62715632,62734941,62841147,62954447,63152616,63201335,63311362,63385356,63434722,63443626,63939880,64060330,64096511,64290331,64372767,64646532,64920727,65105051,65327707,65390847,65419042,65659756,65733287,66070980,66203583,66258082,66507963,66812127,66913467,66944284,67010626,67180087,67346962,67383906,67935442,67956381,68675026,68968830,68976991,69065425,69342162,69363244,69370060,69652930,69841887,69942507,69950866,69995125,70190047,70256242,70445247,70465948,70475712,70545723,70555086,70723535,70746603,70769290,71046693,71558551,71932365,72312296,72362962,72597282,72837538,73220743,73449087,73566752,73605083,73808578,74047263,74984385,74990255,75036072,75379084,75841602,76123144,76225703,76584335,76727856,76728363,76827327,76872396,77321787,77323276,77461831,77716923,78147202,78296842,78308907,78763496,79285176,79552751,79686843,79779304,79874267,79983344,80137423,80275947,80864187,81351333,81451563,81500266,81681832,81795727,81815965,81821026,81874535,81893290,82105750,82428603,82526386,82659547,82762596,82878510,82935826,83208507,83244072,83356151,83393842,83583516,83597883,83799298,83994150,84077627,84415581,84734098,84868242,84923148,85067803,85248447,85275383,85279660,85489228,85582207,85638537,85808722,85829343,86143421,86216127,86274091,86318838,86600865,86988543,87128735,88106242,88403744,88432683,88528767,88608933,89195823,89267125,89593760,89657051,89679903,89742335,89751717,89981262,89988306,90152842,90520183,90539548,90618287,91113963,91843330,91892061,91901202,91971807,92094827,92374256,92495431,92542623,92587447,92777351,93386255,93552105,93649581,93681663,93970783,93975148,94076267,95289387,95601676,96044956,96231867,96283498,96364066,96842651,96846825,97012535,97641087,97669426,97922283,98040202,98107180,98179158,98203263,98249442,98271948,98484027,98485522,98526900,98993602,99025186,99454212,99511647,99591935,99788912,99791403,...,811361127173277065127113272306417125262093359603486667559399733527589778919116711223191841511437438016237000115815200360124047454471437233436291926938955982765858907766766216779811508492789788739381550164983031210919168178627502918176587006743692901869284078714359094040905929898208593905700626161199857389408819612605847044634025443825835628611426191959227984324671555704768050374302625611101809632178516171539221916153963998905166555887815736271825399954784110714426478414314908932789551507767185266113574448459816662602144681177173806154675002667511397395907549483063177179922833103820258549450090264280533329070594156453462217706964603239497459493074986145886265346622363645791716431550084732197914332716265810124105522199430978423929646079184110246520309921009953165315182428118967024140347905162563274832080629882080983976360919347575635793582364577097795869472223323526382648147610802530655717202184613672601683695873068813868033108765064968957694861071860734676814751243455701774762952677874486658807524312505872310453504775637100125011222222148778263685061770865230157747595711993655059666072208175468203541974274692342602214115211115172432968130645545877911103252243025149550101191694752239154247288033035029428022109958123382269539550318032899935969387597351660878857153939368882422673622410704447798269044146871972569195384143366361451749633303524464424284143163429130388763682251995870367969117119293105475411492181548343311443625090427674284078453708867342363519921039999698307724867526418107635350937361056378519424439439388882766875430206096091470709084472256673369373664027003302189394933280957063370584956051198264745920362295007107989703833420620381314605812610954173784911079078197405940641032291673832824649854119358375238235313289240102636661460799072159760310171698580781571266906849967273506014455487102871265787069208262753656861887631936809375226818049987368879769661339761457796020922633992140983893774663188226369012023872916566407486659086825336236887369123549999916017816953999384988775504240687936699040115739377140167084362065844730499101063847032406994219872095323533679413404935568894453260355800189792993576427150236118502507636736886408500232462734696209515856575470408110344414321271612888965489873358663464282523785759584027487165536015521630209377071803442690164918906329990413484142648778873310793441973214736189948617301652562712215146022782902236953952603446341720271317492696246826158385250182799706376052820882669151263097473283534597886094686094407415484370517377596500335047701960134145075737561284410729992608857323770358321477939998263939701304073641165984491492944462366435598478901246403269014346543551698215283971717237050292231550084120895274617103983932943788675762871797653065522722892372687811379763178006399427805612653936613944831606946624541815841735779574124901479143574936103561013461583455518752908845579385402970469537183552588722902073465814555440823669057837577015682981588651577260470923805872690490362254721685710491038381459927318807716098678805398584573377923664265293026016123398018414513032539949343426086747}
19354  23925745997005317383724826610891678153568537690706410303001846413772265: {734654,1022953,1314644,1660574,2395556,3045134,3166676,3318313,3660133,3769935,3773929,3965294,4021264,4455193,4465923,4482008,4523922,4706516,5042259,5316575,5341214,5359513,6034729,6379890,6396644,6631219,6707353,6805216,7257176,7655868,7776596,8077502,8164323,8377573,8695124,9104408,9473170,10070756,10242459,10341902,10469929,10528724,10681316,10716495,10793054,11367804,11430928,11995033,12211753,12752293,12814244,12859794,13533100,13712408,14149273,14158334,14315379,14381534,14789204,15426459,15551795,16153316,16239720,16383854,16605614,16801573,17322368,17326633,17428803,17514836,17536153,18058693,18269685,18579433,18662154,19333000,19487664,19753107,20027929,20079524,20130853,20188355,20531156,20681636,20748575,21055256,21103935,21132884,21156133,21347495,21433556,21749625,21838479,21923622,22174213,22216850,22510864,22831395,23084329,23199600,23587429,23687163,23834324,24226026,24353488,24588229,24687913,24709502,24746240,24898290,25141934,25288571,25314099,25324722,25616994,25625816,25629524,25680793,25789502,25977253,26099550,26525396,26558176,26660220,27397674,27696935,27839520,27851343,27937093,28007295,28437568,28519429,28580654,28736043,28829043,29271896,29330371,29695488,29874448,29877948,29963929,30073502,30388787,30711134,30797855,31319460,31452495,31770974,31992264,32616356,32710693,32764244,32804329,32930883,33207716,33236322,33407424,33549328,33608754,33879854,34104867,34209575,34723736,34754053,35121829,35671333,35781095,35971978,35991297,36126530,36612195,36957426,37039076,37583352,37742994,37749095,38054414,38290729,38468702,38882414,39053008,39064203,39277535,39567050,39709993,40046595,40849573,40936729,40942334,41023813,41051490,41058008,41140964,41147534,41870804,41900530,41966894,42281271,42308324,42579013,42579902,42612603,42716368,42750373,42937314,43225539,43328084,43351836,43432933,43788256,43934634,44448133,44491604,44613902,44868073,45072596,45298914,45508004,45635163,45708754,46190259,46364953,46377956,46414203,46633502,46902435,47035694,47133042,47186473,47246756,47277339,47364056,47480460,47757253,48055914,48081829,48262616,48793843,49261788,49269476,49635902,50029264,50280636,50645824,50858135,50872729,51025934,51115850,51223934,51264229,51388540,51427178,51458975,52350853,52427929,52605902,52746776,52854963,53174255,53196014,53284563,53350323,53575429,53736947,54295443,54327575,54585044,54876178,55080229,55258539,55610187,55947395,56189929,56282922,56299604,56483113,56629273,56920729,56976552,56993413,57572293,58927895,59000408,59025854,59140453,59146964,59336979,59340123,59793374,59857900,59958303,59998676,60050713,60140516,60397573,60781976,61029762,61274084,61339020,61383311,61415636,61666248,61702094,61750770,62001199,62440933,62651054,62841829,62922575,63218702,63273259,63394004,63809106,63832729,64098621,64224553,64370908,64419493,64815099,65101502,65128729,65193090,65225816,65298220,65386563,65428288,65656563,65765929,65783975,65835339,65867488,66375459,66395929,66458533,66607751,66813279,66911204,67080613,67136874,67191716,67341854,67695493,67885208,67898702,68242729,68379723,68918059,69011924,69082393,69173907,69192974,69201193,69374529,69539296,69705490,69745502,69790873,69806891,69985426,70024729,70129364,70501295,70713474,71029694,71119813,71233573,71384036,71460229,71471603,71829480,72219044,72244453,72306008,72398051,72838563,72852014,73123429,73191764,73379043,73412200,73606824,73757774,74024276,74100924,74249113,74299502,74459929,74512453,74855636,75130655,75237635,75240229,75507090,75700633,75774543,75953893,76004329,76100516,76370859,76618112,76712408,76790996,76801513,76948933,77353276,77483929,77618516,77756324,78152233,78162575,78231708,78357864,78394540,78620953,78763502,78940770,79128229,79231695,79355929,79401253,79645502,79819604,79924850,80028229,80041247,80094164,80136699,80250963,80521683,80523902,80540896,80808165,80827474,80942233,81049214,81094803,81344259,81465044,81575653,82074695,82314373,82354729,82588725,82595353,82807677,83483534,83646588,83680355,83788196,83947333,84203488,84242283,84513808,84601554,84787753,84861902,85521829,85691929,85725733,85830356,86026729,86195376,86301459,86354329,86704055,86712575,86912174,87018853,87141829,87187796,87263653,87315298,87474073,87563173,87711423,87739429,87768553,87913093,88082435,88094640,88152597,88271444,88677284,88689253,88715929,88773374,88848229,89004613,89081833,89082836,89107429,89217956,89234329,89543643,89628313,89845208,89957929,90156786,90285162,90390370,90425893,90450254,90511429,90608508,91067019,91097113,91135273,91191973,91283294,91570729,91739929,91958440,92261353,92425513,92443502,92456216,92616133,92768233,92779429,92779907,92790553,92988229,93122516,93134533,93200773,93239833,93256676,93378073,93390313,93419653,93436393,93496873,93574633,93583813,93596654,93600229,93611929,93619993,93628453,93636229,93644329,93795090,93926996,93967616,94060964,94073448,94111031,94223855,94328804,94728924,94967043,95078034,95152083,95153930,95165439,95909820,96090495,96654095,96796376,96969798,97089139,97335902,97932116,98106983,98128563,98454370,98489634,98618654,98729684,99106470,99387123,99724130,99979180,...,1081814836231036086836151029741889500349457812804648890079199644703453038558822281630922455348583250688316000154420267146832063272628582977915055902585274643687811877022354955706415344657053051652508733553310708281225557571503337224235449342324923869159045438285812125387874573197611458540934168214933143185878426150141129392845367258434447504815234922612303979099562074273024067165736834148135746176238021562052295888205285331873555407850420981695767199939712147619235304552419878577052735343689580354818099264613088883469526241569565074872900003556681863194543399310750902906563777471760344732600120352374044438760792208604616290275952804319329945990766648194515020462163151527722288575400112976263885776955021080165474029599241304565239528105578813662027079894679937553753576570825289365520463873550084366442774173176107978635147892463434181058109819436130394492629631098035176864196814403374207622936246151563468911594497425085157377478353419958610259814762480979569086334991274269033017270237165982211743365750007829747271339700849466833348296296198371018246749027820306876996794282658206746221429610900624271389299032923123469618820281486896577290840860727837214804336324033532733468255593002985538996384044046705904029479944164509692719400424043866581292516796468881171809538585825176563564829880939263731025392195829296758927178857821815268999511071365952565712190884572173851684909669327827157292156159057473967215322908731124415258166787236899045437938278489789818026561386666264410299823368557476847134583148075171359232585919185177022500573608128121960945445963008897825831552036004402919193244374609417827446608068264352994560483060009477319605111227493841752807750147938898379881438770929874587521376388898443766199805492477833650980417718986803515548614398762879680413562264774375428355875799956364674685940649470495021049425611017004875815850175915745833635757399983158506359548453015277061361230178656187978525032884250968492016031830555421876648878782433781649183158831399999888023755938665846651700672320917248932053487652502853556112482754459640665468085129376542658959829460431378239217873247425192604347141066919723991435236200314824670010182315848544666976616979594946021142100627210813792552428362150518620653164478217952376698381012778703316220714687362173612502762404590253553225208439987217978856865038497747724589297619648253264823068870083616286861363710536315938603471261788960361756656928329101544513666910399608501403761176892201684129964378046130514792914792543220645827356503462000446730269280178860100983415045880973323478476431693811095303919997685252935072098188221312655323925949821914131305201661871025352462058068930953711962289649400389642066778827860366156138645243925051567683829063537420696963856496917081839684237341865903740816871915485259775475928832722421122314372765499868638858099914804748017948777940691670545127439180537293959382911403451630536097954419407254431558743783436020910642118202103013961231741163587320483006295580947321384508613236425076954798238407198112764503898219020390701354831197357886017376719932457901448996}
19355  24020118376326652196199643830473741813973177530535105564086848224920871: {1101981,1643305,1971966,2339293,2490861,2994445,3518606,3593334,3921757,3958345,4567701,4750014,5026580,5602510,5776381,5883145,5947941,5954564,6031896,6240037,6350029,6723012,6785883,7059774,7966357,7995805,8011821,8506520,9071470,9129373,9519337,9569835,9594966,9720745,9775414,10002062,10207824,10214461,10287433,10868905,10885764,11166382,11380510,11483802,11664894,11998357,12116253,12140329,12588445,13042686,13160905,13290121,13351645,13656612,13761613,14209755,14288660,15052213,15106134,15157072,15512853,15563054,15793086,16017805,16021974,16189581,16916375,17051706,17140510,17146392,17225077,17409502,18423349,18486505,19076821,19087172,19221366,19289691,19697006,20191645,20299650,20568612,20697097,20780461,21237501,21309302,21572301,21652960,21893545,22183806,22422589,22490974,22641949,23238404,23255269,23904133,24166250,24229974,24359580,24575781,24882872,24908421,25099405,25612909,25663945,25747534,25852045,25864837,25983552,26140142,26153461,26272254,26319070,26337476,26416105,26791945,27685933,27993231,28138580,28944949,28999500,29117972,29123737,29231496,29355662,29622601,29792905,30119286,30383269,30441860,30796734,30823822,30932800,31022454,31582884,31699326,32032270,32036905,32150334,32301368,32335861,32397913,32716333,32885433,32965837,33029929,33156745,33197720,33325275,33573566,33752132,33766296,34155992,34171382,34391533,34799400,34981189,35166934,35546960,35751486,35925757,36339039,36379054,36530232,36568766,36589870,36746341,37064253,37119360,37127509,37135124,37343060,37347435,37376822,37420237,37712901,37987083,38153533,38314724,38425491,38438724,38444286,38684253,39149325,39593984,39788094,39837264,39990330,40770445,40955305,41096511,41443549,41476549,41509645,41759280,41936660,42042397,42229789,42656352,42773989,42870981,43404670,43775606,43891261,43907844,44315096,44543232,44592301,44673613,44674814,44811672,44816922,45110253,45473156,46066701,46153429,46298845,46903813,46979190,47656461,47988396,48816260,48924534,49053782,49146366,49276568,49650697,49811574,49854483,49950181,50111136,50323992,50413131,50819781,51194089,51322510,51426205,51516686,51625357,52085604,52338505,52885405,53184229,53377477,53395460,53957967,53958949,54070441,54160105,54189795,54500654,54735320,55201333,55366102,55436139,55558614,55614505,56340745,56375028,56614491,56816804,56856613,56885005,57072589,57081621,57249752,57634052,57703053,57802448,57972445,58323621,58579512,58946089,59058445,59205070,59350575,59399557,59636557,60328270,60398552,60846884,61326686,61401373,61413501,61577235,61586845,61587012,61711446,61721301,61885604,62536580,62806206,62844056,62850795,62899894,62950341,62961001,62988781,63036452,63267757,63307280,63441326,63462486,63869853,64074552,64103209,64193869,64235675,64287949,64405971,64747237,64992126,65027754,65152957,65231101,65443093,65523733,65682384,65740141,65901951,65933470,66615613,66698281,66737406,66920853,66963997,67040848,67123357,67296133,67608894,67948371,68231305,68262006,68563131,69226333,69566934,69950253,70374505,70473284,70553541,70699563,70870134,70907582,71046084,71133764,71220690,71249366,71637277,72083871,72366253,72393924,73678052,73750510,73892682,73904214,73933705,73949582,74146916,74453853,74822375,74998345,75043896,75175645,75270134,75420954,75463894,75968736,75977470,76056349,76538901,76592605,76673775,76769545,76835901,76942333,77082810,77140767,78305006,78614557,78908853,79115972,79120164,79242505,79561033,79794021,79944404,80393077,80463635,80899189,81128053,81373016,81444229,81532270,81622775,81785360,81877566,82221664,82314267,82334360,82741549,83364889,83433373,83639005,83699614,83989645,84086413,84261109,84424383,84449406,84544381,84696829,84856510,84958021,85078808,85086262,85464828,86264905,86420132,86924120,87120974,87182084,87202537,87542084,87582949,87661705,87780452,88481869,88500612,88538781,88720446,89084372,89230045,89515832,89666533,89684462,89690061,89786850,89998014,90073093,90210774,90273805,90382510,90583501,90627721,91172964,91175629,91489705,91544643,91765250,91911126,92008530,92123454,92231876,92499372,92530345,92553141,92626155,92692982,92794213,93162757,93569545,93976581,94086061,94284632,94396861,94828053,95091006,95125645,95307781,95436542,95713659,95772640,95890510,95988745,96556362,96691595,96852733,97023145,97118084,97195405,97228489,97265293,97514102,97652253,97789635,97838724,97947330,97993175,98142432,98801232,99012949,99035534,99077006,99175789,99322789,99570613,99774505,...,1622722254346554130254226544612834250524186719206973335118799467055179557838233422446383683022874876032474000231630400720248094908942874466872583853877911965531717815533532433559623016985579577478763100329966062421838336357255005836353174013487385803738568157428718188081811859796417187811401252322399714778817639225211694089268050887651671257222852383918455968649343111409536100748605251222203619264357032343078443832307927997810333111775631472543650799909568221428852956828629817865579103015534370532227148896919633325204289362354347612309350005335022794791815098966126354359845666207640517098900180528561066658141188312906924435413929206478994918986149972291772530693244727291583432863100169464395828665432531620248211044398861956847859292158368220493040619842019906330630364856237934048280695810325126549664161259764161967952721838695151271587164729154195591738944446647052765296295221605061311434404369227345203367391746137627736066217530129937915389722143721469353629502486911403549525905355748973317615048625011744620907009551274200250022444444297556527370123541730460315495191423987310119332144416350936407083948549384685204428230422230344865936261291091755822206504486050299100202383389504478308494576066070058856044219916246764539079100636065799871938775194703321757714307878737764845347244821408895596538088293743945138390768286732722903499266607048928848568286326858260777527364503991740735938234238586210950822984363096686622887250180855348568156907417734684727039842079999396615449735052836215270701874722112757038848878878777765533750860412192182941418168944513346738747328054006604378789866561914126741169912102396529491840724590014215979407666841240762629211625221908347569822158156394811881282064583347665649299708238716750476470626578480205273322921598144319520620343397161563142533813699934547012028910974205742531574138416525507313723775263873618750453636099974737759539322679522915592041845267984281967787549326376452738024047745833132814973318173650672473774738247099999832035633907998769977551008481375873398080231478754280334168724131689460998202127694064813988439744190647067358826809871137788906520711600379585987152854300472237005015273473772817000464925469392419031713150940816220688828642543225777930979746717326928565047571519168054974331072031043260418754143606885380329837812659980826968285297557746621586883946429472379897234603305125424430292045565804473907905206892683440542634985392493652316770500365599412752105641765338302526194946567069195772189372188814830968741034755193000670095403920268290151475122568821459985217714647540716642955879996527879402608147282331968982985888924732871196957802492806538028693087103396430567943434474100584463100168241790549234207967865887577351525743595306131045445784745375622759526356012798855611225307873227889663213893249083631683471559148249802958287149872207122026923166911037505817691158770805940939074367105177445804146931629110881647338115675154031365963177303154520941847611745380980724509443371420982076762919854637615432197357610797169146755847328530586052032246796036829026065079898686852173494}
19356  24114860339186064893100725601077274061402546898262881443674521437108493: {444659,714803,907523,1292363,1469308,1599659,1714763,1868123,2045906,2059643,2629288,2633003,2861843,2957949,3318659,3321148,3698459,3812243,4791112,5134403,5277909,5284883,5390001,5397659,6090268,6283225,6333352,6596123,6636626,7125021,7266659,7320266,7443205,7526723,7539870,7547858,7749323,7930588,8042528,8304563,8378459,8403765,8636843,8910386,8931846,8964016,9047844,9189203,9413032,10084518,10580459,10589661,10633150,10682428,10689803,10719026,11235443,11380643,11489459,12032459,12069458,12645683,12759780,12793288,13262438,13400003,13414706,13607205,13610432,13757963,14293403,14364659,14392449,14514352,14663121,15003093,15311736,15535763,15553192,15783059,15959459,16155004,16328646,16749573,16755146,17070765,17118683,17225703,17390248,17497341,17860825,17956283,18208816,18946340,19204043,19548803,19564029,19858403,20133059,20141512,20475659,20484918,20683804,20939858,21057448,21362632,21432990,21566603,21586108,21772513,22007459,22176659,22278083,22413203,22659201,22735608,22784123,22861856,23120483,23344581,23422523,23590043,23689629,23858965,23990066,24032961,24423506,24590963,25121843,25504586,25577559,25584683,25628488,25683659,25710765,25719588,25914323,26013059,26114253,26669459,27066200,27424816,27583043,27875363,28263697,28298546,28316668,28522643,28554923,28630758,28716203,28763068,28832049,28845083,29048005,29545509,29578408,29886493,29967323,29999243,30449475,30540659,30762923,30852918,30953123,31103590,31237883,31332659,31395803,31963953,32306632,32339123,32479440,32651963,32745659,32767708,32839283,32921845,32995163,33211228,33275243,33275709,33368459,33603146,33736461,34296659,34389083,34644736,34653266,34665923,34857606,35029672,35072306,35156483,35173225,35309363,35675459,35914021,36117386,36222443,36249375,36344961,36397465,36539370,37038059,37158866,37324308,38052325,38324963,38621301,38666000,38775709,38975328,39210213,39361523,39408381,39478605,39506214,40055858,40159048,40261706,40359083,40376710,40592459,41062312,41363272,41497150,41665163,41751659,41809283,42110512,42190165,42207870,42265768,42312266,42694990,42867112,43116997,43466459,43499250,43676958,43692923,43847244,44033493,44348426,44369243,44433700,44453459,44733659,44957243,45021728,45068843,45178929,45652643,45662790,45708059,46168658,46195101,46205363,46235733,46398059,46399200,46418905,46533681,46678825,46864403,47174858,47374326,47437283,47548989,47668648,47763059,47844323,47893405,48048405,48225501,48249563,48452052,48706976,49176458,49374659,49375826,49419004,49492480,49560803,49796580,50093533,50169659,50248763,50283868,50360349,50577142,50628198,50649444,51218459,51233988,51251632,51257073,51259048,51270563,51296603,51361586,51579004,51919163,51954506,52074083,52199100,52383059,52420825,52460123,52750401,52848733,52972043,53050792,53116352,53277659,53320440,53627229,54568581,54663659,54795348,54853149,54863243,54884805,54988549,55087163,55112003,55393870,55679040,55702686,55874186,55902659,55976363,56014590,56065233,56074523,56221523,56514659,56806643,56841445,56875136,56927963,57000659,57038858,57161308,57472086,57603659,57651683,57658086,57666429,58034723,58249283,58543792,58660742,59077523,59390976,59682141,59748896,59755896,59849459,59927858,59985495,60147004,60151163,60474563,60612683,60773459,60777574,61020325,61422268,61503443,61595710,61729883,61978043,62068043,62314883,62471459,62638920,62872283,62904990,62983163,63182243,63507301,63541948,63841163,63863003,63984528,64449659,64557659,65107005,65158763,65232712,65421386,65520659,65528488,65608658,65663409,65861766,65901323,66415432,66472644,66744325,66814848,66986459,67012221,67098656,67217508,67225383,67759708,67847123,67908059,68209734,68272163,68312459,68419150,68453243,68604877,68613659,68913059,69111659,69171083,69447472,69508106,69800459,69859043,69995459,70243658,70468785,70614083,70920323,71015603,71021005,71148659,71186603,71201389,71342666,71470163,71489003,71562190,71658203,71864123,71943956,71982594,72042565,72253060,72543913,72769643,72824459,73224390,73386801,73422683,73580673,73584323,73719549,73914852,74078152,74259659,74443957,74697659,74717361,74906123,75166704,75302459,75485988,75498190,75728459,75779243,76015283,76032083,76058605,76065659,76108828,76432883,76581458,76681043,76937404,76983765,77275029,77357005,77414723,77511323,77591603,77764828,78106016,78128406,78132203,78170725,78179459,78326353,78461483,78555070,78795565,78956459,79063643,79134100,79155203,79231283,79419986,79683563,80093190,80348483,80450459,80479523,80782763,81378659,81546323,81699146,81750981,81768083,81873458,81884668,81891923,81960443,82001459,82047626,82102980,82116016,82281928,82295068,82407659,82499053,82608059,82740659,82846163,82898723,83049153,83237243,83337921,83741608,83801060,83860523,83933788,84183443,84513059,84549323,84562542,84616648,84813059,84848723,84908003,85014203,85158026,85159804,85225206,85259483,85398059,85432736,85500746,85546883,85561333,85773203,85851659,85874628,85940843,86205323,86368283,86400659,86451078,86561459,86635883,86656168,86703672,86865866,86908883,87033059,87166283,87318323,87488459,87557843,87576512,87587459,87705203,87734459,87753923,87869268,87927659,88042043,88091605,88239443,88332203,88551563,88623659,88739723,88807605,88871963,88896266,88917205,88983208,88993763,89019659,89045483,89131043,89227804,89232659,89249483,89506163,89736146,89747243,89841659,89981123,90145192,90244883,90333059,90383963,90405659,90492405,90569603,90597828,90618659,90722459,90977363,91016008,91074803,91226963,91270326,91416683,91417508,91587203,91604459,91661459,91678403,91689659,91728803,91756523,91843883,91908059,91934459,91950203,91971083,91990029,92078603,92097565,92148323,92197163,92380518,92550659,92559083,92567169,92600723,92645603,92683645,92685563,92693459,92705243,92729906,92755912,92828406,93047459,93093659,93102683,93202643,93221459,93260459,93267004,93290363,93333059,93339923,93366659,93422603,93486443,93502883,93534803,93555443,93603659,93621659,93630923,93644363,93655403,93659459,93660659,93663683,93804870,94071388,94209309,94266084,94349841,94372946,94493512,94554678,94594201,94728112,94960920,95161989,95193729,95514506,96111828,96163658,96525232,97488189,97541631,97587686,98523576,98538952,98701813,98894965,98900205,99271804,99930505,...,2434083381519831195381339816919251375786280078810460002678199200582769336757350133669575524534312314048711000347445601080372142363414311700308875780816867948297576723300298650339434525478369366218144650494949093632757504535882508754529761020231078705607852236143077282122717789694625781717101878483599572168226458837817541133902076331477506885834278575877683952974014667114304151122907876833305428896535548514617665748461891996715499667663447208815476199864352332143279435242944726798368654523301555798340723345379449987806434043531521418464025008002534192187722648449189531539768499311460775648350270792841599987211782469360386653120893809718492378479224958437658796039867090937375149294650254196593742998148797430372316566598292935271788938237552330739560929763029859495945547284356901072421043715487689824496241889646242951929082758042726907380747093731293387608416669970579147944442832407591967151606553841017805051087619206441604099326295194906873084583215582204030444253730367105324288858033623459976422572937517616931360514326911300375033666666446334791055185312595690473242787135980965178998216624526404610625922824077027806642345633345517298904391936637633733309756729075448650303575084256717462741864099105088284066329874370146808618650954098699807908162792054982636571461818106647268020867232113343394807132440615917707586152430099084355248899910573393272852429490287391166291046755987611103907351357879316426234476544645029934330875271283022852235361126602027090559763119999094923174602579254322906052812083169135558273318318166648300626290618288274412127253416770020108120992081009906568184799842871190111754868153594794237761086885021323969111500261861143943817437832862521354733237234592217821923096875021498473949562358075125714705939867720307909984382397216479280930515095742344713800720549901820518043366461308613797361207624788260970585662895810428125680454149962106639308984019284373388062767901976422951681323989564679107036071618749699222459977260476008710662107370649999748053450861998154966326512722063810097120347218131420501253086197534191497303191541097220982659616285970601038240214806706683359781067400569378980729281450708355507522910210659225500697388204088628547569726411224331033242963814838666896469620075990392847571357278752082461496608046564890628131215410328070494756718989971240452427946336619932380325919644208569845851904957688136645438068348706710861857810339025160813952478088740478475155750548399119128158462648007453789292419850603793658284058283222246453111552132789501005143105880402435227212683853232189977826571971311074964433819994791819103912220923497953474478833387099306795436703739209807043039630655094645851915151711150876694650252362685823851311951798831366027288615392959196568168677118063434139289534019198283416837961809841834494820839873625447525207338722374704437430724808310683040384750366556258726536738156208911408611550657766168706220397443666322471007173512731047048944765954731781412771417618071471086764165057131473115144379781956423148296036416195753720133770992795879078048370194055243539097619848030278260241}
19357  24209973322612601717940860190303023259689904524341079915179079137497561: {1836635,2203962,2300627,2764619,3068859,3286610,3943932,4151435,4192223,4678586,4981722,5541683,5988890,6974159,7037212,7186668,7612835,7843514,7858763,7916690,8236403,9135402,9500028,9913235,9954939,10053160,10175843,10639259,10789259,10980399,11194127,11205020,11309805,11321787,11552762,11766290,11895882,11909128,12063792,12480074,12700058,13353035,13365579,13397769,13446024,13568603,13571766,13609043,14119548,15126777,15216467,15476219,15932714,15949725,15991610,16023642,16078539,16743023,17013040,17623823,17788979,18104187,18142940,18258746,18425267,18692303,19038674,19139670,19189932,19441490,19550828,19893657,20004124,20122059,20193755,20415648,20428922,20538683,20574866,21737810,21771528,21951947,22124483,22332764,22424927,22761020,22967604,23065163,23329788,23682925,23910347,23996714,24232506,24280658,24492969,25132719,25176890,25854755,25881107,25991183,26085372,26321810,26580242,26703290,26758667,26848943,26982635,27040019,27313224,27523226,28250339,28268303,28419510,28577320,28907759,29367503,29690447,30104426,30212268,30314144,30650963,30727377,31025706,31126108,31409787,31586172,31665539,32035610,32043948,32149485,32379162,32550059,32719739,33515747,33683987,33832750,33978299,34083323,34103412,34207667,34281020,34292784,34395119,34450154,34819004,35139167,35239343,35395835,35635043,35929523,35953835,35985099,36192863,36635259,36846698,36915803,36973010,36982547,37508723,37782587,38153642,38174344,38256879,38442732,38579382,38938607,39096623,39394012,40000943,40383290,40599300,40644539,40959635,41137224,41394194,41480867,41514035,41560922,41710067,42447819,42475002,42618604,42917747,42946137,43144602,43305920,43467563,43787090,44099459,44367612,44845178,44851667,44981948,45090539,45283898,45558239,46279377,46356143,46419443,46476808,46510538,46655385,47806223,47808266,48332500,48459948,48719160,49151562,49765744,49816842,50198810,50404719,50567123,51199427,51225818,51327890,51495068,51704090,51729674,51967104,51979899,52280284,52286409,52306922,52544508,52608459,52638140,52674952,52832210,52877003,53074883,53583890,54096803,54176079,54809055,55186883,55371866,55431779,55542125,55738299,55986462,56103647,56277160,57078623,57216923,57337427,57889898,57999000,58103243,58113503,58235944,58247474,58462992,58711324,59076827,59245202,59259321,59585810,60083787,60238572,60392559,60565065,60751259,60766538,60883720,61593468,61647644,61773755,61865600,62044908,62245725,62308643,62854835,63165768,63311805,63327683,63398652,63468399,63749423,63769667,64042485,64064540,64073810,64300668,64473755,64602736,64671722,64754003,64795826,64818383,65237939,65248875,65432666,65515437,65770866,65880923,65931674,66002147,66059858,66313490,66395440,66522639,66622559,66650550,67147132,67194179,67303139,67504264,67532592,68310587,68311984,68342764,68494185,68635439,68783066,69233963,69252987,69598800,69962378,70333868,70466363,70762287,71061489,71093920,71404703,71451635,71502972,71644763,71821403,71851514,71996687,72364559,72565259,72678078,72758108,73060464,73137532,73179740,73273907,73492682,73764687,74039567,74063739,74128506,74238720,74255018,74270248,74404739,74686120,74694870,74753644,74840474,75183755,75425802,75824147,75865713,75942297,75974166,75976667,76020143,76064267,76307066,76433963,76618223,76629448,76777835,76850982,76877448,76888572,77042379,77368506,77437139,77477963,77846219,77860307,77931759,78298650,78877043,79187968,79427435,79576188,79639007,79674528,79980660,80304467,81136499,81161423,81540890,81812939,81910610,82193022,82681823,82887098,82953098,83019290,83090805,83442059,83518560,83554029,83811279,83873320,84021885,84084794,84459578,84699635,84966899,85085519,85312704,85547978,85558287,85741962,85836083,86208129,86221583,86487129,86809340,87551212,87592067,87782522,87815688,87850883,87991113,88371407,88630192,89086464,89184602,89347226,89349628,89579759,89623344,89633844,89891787,89929945,90082619,90220506,90316325,90946312,91025903,91166361,91424783,92133402,92306858,92393565,92597690,92981087,93172523,93807626,93958380,94357485,95136035,95312922,95523827,95976792,96171755,96830639,97206035,97238627,97275419,97461659,97632520,97785467,97849068,98107564,98132079,98292732,98412987,98524307,98553136,98647883,98743187,98792649,98917625,99301394,99580979,99623148,99708966,99900362,...,3245444508693108260508453089225668501048373438413946670237598934110359115676466844892767366045749752064948000463260801440496189817885748933745167707755823931063435631067064867119246033971159154957526200659932124843676672714510011672706348026974771607477136314857436376163623719592834375622802504644799429557635278450423388178536101775303342514445704767836911937298686222819072201497210502444407238528714064686156887664615855995620666223551262945087301599819136442857705913657259635731158206031068741064454297793839266650408578724708695224618700010670045589583630197932252708719691332415281034197800361057122133316282376625813848870827858412957989837972299944583545061386489454583166865726200338928791657330865063240496422088797723913695718584316736440986081239684039812661260729712475868096561391620650253099328322519528323935905443677390302543174329458308391183477888893294105530592590443210122622868808738454690406734783492275255472132435060259875830779444287442938707259004973822807099051810711497946635230097250023489241814019102548400500044888888595113054740247083460920630990382847974620238664288832701872814167897098769370408856460844460689731872522582183511644413008972100598200404766779008956616989152132140117712088439832493529078158201272131599743877550389406643515428615757475529690694489642817791193076176587487890276781536573465445806998533214097857697136572653716521555054729007983481471876468477172421901645968726193373245774500361710697136313814835469369454079684159998793230899470105672430541403749444225514077697757757555531067501720824384365882836337889026693477494656108013208757579733123828253482339824204793058983681449180028431958815333682481525258423250443816695139644316312789623762564129166695331298599416477433500952941253156960410546645843196288639041240686794323126285067627399869094024057821948411485063148276833051014627447550527747237500907272199949475519078645359045831184083690535968563935575098652752905476048095491666265629946636347301344947549476494199999664071267815997539955102016962751746796160462957508560668337448263378921996404255388129627976879488381294134717653619742275577813041423200759171974305708600944474010030546947545634000929850938784838063426301881632441377657285086451555861959493434653857130095143038336109948662144062086520837508287213770760659675625319961653936570595115493243173767892858944759794469206610250848860584091131608947815810413785366881085269970784987304633541000731198825504211283530676605052389893134138391544378744377629661937482069510386001340190807840536580302950245137642919970435429295081433285911759993055758805216294564663937965971777849465742393915604985613076057386174206792861135886868948201168926200336483581098468415935731775154703051487190612262090891569490751245519052712025597711222450615746455779326427786498167263366943118296499605916574299744414244053846333822075011635382317541611881878148734210354891608293863258221763294676231350308062731926354606309041883695223490761961449018886742841964153525839709275230864394715221594338293511694657061172104064493592073658052130159797373704346988}
19358  24305458769182852666363810702371783278547079033712280095379872153744881: {889318,1429606,1815046,2098141,2442337,2584726,2671441,2900257,2938616,3199318,3305943,3429526,3736246,4091812,4119286,4929915,5172577,5258576,5266006,5285437,5723686,5848657,5915898,6634141,6637318,6642296,7017879,7193041,7396918,7472583,7624486,8305441,8796515,8983335,9410641,9582224,10268806,10420487,10555818,10569766,10727377,10780002,10795318,11272957,11765271,11875035,12180536,12566450,12666704,13192246,13273252,13703103,14006275,14250042,14533318,14640532,14886410,15053446,15079740,15095716,15498646,15861176,16085056,16207837,16609126,16735057,16756918,16807530,16945441,17273686,17329143,17649435,17820772,17843823,17863692,17928032,18095688,18201697,18378406,18720111,18826064,19050087,19240657,19550941,20169036,20357649,20580541,21160918,21179322,21266300,21364856,21379606,21438052,22314337,22415677,22470886,22678675,22761286,22978918,23425117,23899071,23987415,24035463,24064918,24138916,24438535,24826237,25005155,25124641,25291366,25519560,25586576,25620541,25917217,26524876,26800006,26829412,27214410,27220864,27293137,27388119,27515926,27878497,27915955,28364317,28451275,28558011,28558141,28586806,28709505,28729318,28751677,28784898,29028704,29162235,29326242,30002641,30006186,30623472,30643383,30862299,30956641,31071526,31106384,31241437,31430941,31566118,31918918,32310008,32561917,32606715,32655697,32657292,33402551,33499146,33510292,34141530,34237366,34451406,34700641,34780496,34976797,34994682,35721650,35912566,35995071,36348759,36417632,36420987,37765335,37892680,38061277,38408086,38507857,38907635,38952637,39097606,39128058,39395617,39482715,39716806,39739183,39870363,39924817,40054935,40266118,40276177,40283024,40363837,40667207,40951318,40969836,41236477,41284839,41367608,41879716,42114896,42443843,42629265,42725264,42851275,42865980,43133206,43172216,43523755,43545026,43811197,44014918,44353318,44402641,44556166,44826406,45074257,45156639,45318402,45471216,45568246,45723712,46090583,46238497,46240966,46321117,46538559,46689162,46845046,47180086,47379258,47717930,47980132,48053415,48065922,48568743,48847012,49181926,49242515,49327441,50243686,50518141,50749125,50956451,51009172,51155118,51169366,51256976,51302941,51367318,51421530,51439176,51675231,51828646,51925597,52026118,52228506,52620577,53004157,53273255,53338918,54132400,54849632,54969757,55118941,55166086,55270047,55459515,55490641,55750726,56007997,56227435,56375377,56527394,56597092,56633336,57045286,57104737,57109846,57230463,57261516,57432406,57526136,57664098,57690166,57826897,57869073,57898717,58042141,58096010,58399441,59066231,59091018,59156816,59670817,59772986,59934646,59998486,60367057,60415625,60505441,60574935,60643537,60898950,61056097,61081318,61525846,61705836,61737937,61906246,62008657,62091291,62207180,62341383,62475766,62546641,62665318,62791606,63212641,63712503,63871441,63927906,64368835,64613264,64678246,64716903,64717117,64958880,64986467,65039137,65303926,65350355,65491318,65535416,65678566,65680635,65797675,65843690,65990326,66422456,66550486,66551418,66736918,66933457,67050767,67206292,67267767,67472922,67489117,67795297,67925847,68099677,68593318,68778166,69180541,69289472,69306532,69331846,69715212,69765807,69888157,70059344,70144612,70312966,70346450,70618726,70930141,71329057,71350918,71385757,71498941,71712399,71828042,71892817,72234772,72444886,72498750,72504637,72689922,72779857,72794930,73078740,73389155,73702141,73727343,74076118,74317732,74648616,74725263,74916817,75054083,75298215,75688477,76043041,76104650,76443937,76649926,76676039,76790941,76838727,76991835,77059555,77242602,77332000,77426017,77551418,77556135,77594511,77762941,77950656,78420426,78460383,78566497,78723046,78798877,78816762,78957210,79012428,79248315,79258237,79578023,80080675,80111716,80318096,80375835,80523412,80636497,80718166,80753420,80809297,81078491,81184918,81572641,81656017,82124624,82726544,82793041,82994300,83057799,83263057,83330326,83378941,83503318,83618566,83760541,83933915,83979693,84060637,84221024,84319441,84380330,84415740,84429277,84531536,84574717,84624532,85284637,85389980,85428455,85628797,85734224,85798177,85999057,86230141,86233994,86328097,86808157,86834847,86870941,86932918,86998500,87353916,87371211,87385846,87694488,87917335,88066141,88066986,88122877,88263457,88566397,88696852,88738486,88867400,88867803,88906918,89094877,89378715,89467318,89521441,89642941,89691037,89914486,89927197,90043456,90137686,90357858,90399697,90947635,91058641,91149807,91192957,91305286,91325580,91378717,91416118,91421915,91474675,91522141,91745377,91811617,92095441,92214097,92337316,92342077,92355937,92390202,92410726,92471466,92580541,92618017,92738257,92761441,92784337,92796118,92798400,92837810,92840317,93067362,93120541,93223357,93337297,93357650,93435037,93442055,93452641,93553441,93574141,93600097,93665617,93679441,93682717,93683041,93728806,94349716,94748652,94874566,95097978,95337296,95526118,95688646,95786810,96096810,96110715,96451002,96499126,96904104,97007583,97193739,97413952,98148999,98352916,98656299,98749318,98751652,98838008,98897511,98984960,99089787,99121606,99429407,99470235,99593160,99975825,...,4868166763039662390762679633838502751572560157620920005356398401165538673514700267339151049068624628097422000694891202160744284726828623400617751561633735896595153446600597300678869050956738732436289300989898187265515009071765017509059522040462157411215704472286154564245435579389251563434203756967199144336452917675635082267804152662955013771668557151755367905948029334228608302245815753666610857793071097029235331496923783993430999335326894417630952399728704664286558870485889453596737309046603111596681446690758899975612868087063042836928050016005068384375445296898379063079536998622921551296700541585683199974423564938720773306241787619436984756958449916875317592079734181874750298589300508393187485996297594860744633133196585870543577876475104661479121859526059718991891094568713802144842087430975379648992483779292485903858165516085453814761494187462586775216833339941158295888885664815183934303213107682035610102175238412883208198652590389813746169166431164408060888507460734210648577716067246919952845145875035233862721028653822600750067333332892669582110370625191380946485574271961930357996433249052809221251845648154055613284691266691034597808783873275267466619513458150897300607150168513434925483728198210176568132659748740293617237301908197399615816325584109965273142923636213294536041734464226686789614264881231835415172304860198168710497799821146786545704858980574782332582093511975222207814702715758632852468953089290059868661750542566045704470722253204054181119526239998189846349205158508645812105624166338271116546636636333296601252581236576548824254506833540040216241984162019813136369599685742380223509736307189588475522173770042647938223000523722287887634875665725042709466474469184435643846193750042996947899124716150251429411879735440615819968764794432958561861030191484689427601441099803641036086732922617227594722415249576521941171325791620856251360908299924213278617968038568746776125535803952845903362647979129358214072143237499398444919954520952017421324214741299999496106901723996309932653025444127620194240694436262841002506172395068382994606383082194441965319232571941202076480429613413366719562134801138757961458562901416711015045820421318451001394776408177257095139452822448662066485927629677333792939240151980785695142714557504164922993216093129781256262430820656140989513437979942480904855892673239864760651839288417139691703809915376273290876136697413421723715620678050321627904956177480956950311501096798238256316925296014907578584839701207587316568116566444492906223104265579002010286211760804870454425367706464379955653143942622149928867639989583638207824441846995906948957666774198613590873407478419614086079261310189291703830303422301753389300504725371647702623903597662732054577230785918393136337354236126868278579068038396566833675923619683668989641679747250895050414677444749408874861449616621366080769500733112517453073476312417822817223101315532337412440794887332644942014347025462094097889531909463562825542835236142942173528330114262946230288759563912846296592072832391507440267541985591758156096740388110487078195239696060556520482}
19359  24401318127042214037147898207616882655229100639024518415357118344620678: {1333977,2144409,2571289,2722569,3267277,3673270,3877089,4407924,4601254,4798977,5114765,5144289,5529238,5604369,5812009,6137718,6162761,6178929,6573220,7553729,7887864,7899009,8302870,8384446,8585529,8873847,9287629,9357172,9955977,9963444,9978617,10657969,11083366,11095377,11373001,11436729,11977780,12518561,13452797,13878529,13948318,14074424,14373336,15225670,15403209,15687028,15717526,15833380,15833727,15854649,16170003,16192977,16232141,16472806,16591565,17379389,18270804,18290077,18300665,18694249,18849675,18854561,18869645,19000056,19787209,19788369,19826470,19909878,20106320,20351686,20851409,21278518,21375063,21578518,21799977,21960798,22275965,22329615,22388254,22410040,22580169,22619610,22643574,22934621,23105524,23247969,23532580,23791764,23818256,24127584,24272989,24534529,24913689,24960148,25135377,25211295,25400116,25910529,26582875,26706070,26723329,26731158,26795538,26797565,26892048,27137206,27143532,27174449,27218086,27258829,27567609,28239096,28271257,28950977,30173645,30253554,30432934,30952438,31730569,31741377,31768983,31865428,31899450,31983220,32047284,32069409,32157078,33156095,33486046,33536765,33706329,34026080,34141929,34468377,34707049,35235497,35247646,35577958,35635777,36097377,36196657,36208374,36285880,36433897,36517492,36850534,37384606,37646809,37775689,37937049,38077348,38279340,38379864,38882980,39101656,39654281,39787314,39827401,40008248,40200009,40244118,40248857,40387510,40648777,40821615,40831296,40857844,41077366,41149732,41273889,41887865,42782897,42880209,43093977,43177347,43475620,43543056,43903894,43989363,44248966,44665528,44849854,45009279,45522040,45935208,46130326,46360969,46587521,46607289,46659576,47140801,47349177,47365850,47745137,47820694,47878377,47974169,47993428,48465012,48561316,48985938,49554169,50248719,50265438,50335369,50353780,51212295,51356049,51677109,51709510,51762214,51982366,51991549,52170744,52349645,52492023,52643620,53160484,53406580,53517334,53582475,53697886,53868849,53965270,54080038,54626448,55046452,55456369,56454761,56500678,56536606,56839020,57154640,57222889,57343489,57612129,57815518,57827617,58119649,58313009,58646409,58692087,58735006,59380894,59575209,59975165,60208852,60399177,60424536,60628288,61058765,61301926,61426977,61454754,62051412,62252216,62819574,63172344,63331078,63761465,64071220,64087896,64298970,64699809,64758324,64941001,65100118,65125577,65317539,65348089,65439478,66022377,66361097,66529977,66834249,67031494,67239609,67367974,67665500,67956598,67977603,68166646,68206824,68352369,68415334,68562040,68585568,68667469,68790238,68900308,69361449,69638008,70033743,70267569,70278334,70478686,70746365,70770129,70791670,71068887,71270086,71576895,71580877,71859046,71907670,71970198,72098883,72372121,72385726,72526817,73243609,73270518,73693396,73772889,73831606,73946020,73965094,75017446,75365529,75565174,76249577,76307284,76348688,76513758,76732677,76754049,76885464,77050977,77132295,77158764,77486029,77742969,77758975,77877214,78039177,78193246,78342759,78597097,78788024,78869369,80001886,80008377,80162449,80766580,81125561,81198600,81289078,81919270,82274448,82749129,82788388,82881101,82961734,83028070,83121844,83278429,83420134,83575217,83626089,84007865,84278657,84791091,84895638,84950004,85094377,85237208,85302209,85567929,85664769,85835494,85892274,86148609,86289204,86483257,86496147,86535249,86611840,86633165,86718809,86935126,87144015,87220829,87574180,87680765,87996769,88198918,88636527,88735224,89659479,89685497,89690356,89703334,89901969,89963896,89997729,90023209,90181078,90263257,90293465,90548809,90567796,91116478,91194617,91348425,91621977,92000077,92288769,92558754,92616361,92712286,92806409,92838886,92859369,92897165,92953616,93021076,93310770,93342161,93713649,93997977,94000129,94187409,95612446,95616532,95891859,96110669,96665000,96919896,97017369,97438320,97955889,98186281,98236977,98303124,98517849,98658169,98765535,98985489,99420761,99531488,99633684,99825729,99827127,...,7302250144559493586144019450757754127358840236431380008034597601748308010272050401008726573602936942146133001042336803241116427090242935100926627342450603844892730169900895951018303576435108098654433951484847280898272513607647526263589283060693236116823556708429231846368153369083877345151305635450798716504679376513452623401706228994432520657502835727633051858922044001342912453368723630499916286689606645543852997245385675990146499002990341626446428599593056996429838305728834180395105963569904667395022170036138349963419302130594564255392075024007602576563167945347568594619305497934382326945050812378524799961635347408081159959362681429155477135437674875312976388119601272812125447883950762589781228994446392291116949699794878805815366814712656992218682789289089578487836641853070703217263131146463069473488725668938728855787248274128180722142241281193880162825250009911737443833328497222775901454819661523053415153262857619324812297978885584720619253749646746612091332761191101315972866574100870379929267718812552850794081542980733901125100999999339004373165555937787071419728361407942895536994649873579213831877768472231083419927036900036551896713175809912901199929270187226345950910725252770152388225592297315264852198989623110440425855952862296099423724488376164947909714385454319941804062601696340030184421397321847753122758457290297253065746699731720179818557288470862173498873140267962833311722054073637949278703429633935089802992625813849068556706083379806081271679289359997284769523807737762968718158436249507406674819954954499944901878871854864823236381760250310060324362976243029719704554399528613570335264604460784382713283260655063971907334500785583431831452313498587564064199711703776653465769290625064495421848687074225377144117819603160923729953147191649437842791545287227034141402161649705461554130099383925841392083622874364782911756988687431284377041362449886319917926952057853120164188303705929268855043971968694037321108214856249097667379931781428026131986322111949999244160352585994464898979538166191430291361041654394261503759258592602574491909574623291662947978848857911803114720644420120050079343202201708136942187844352125066522568730631977676502092164612265885642709179233672993099728891444516000689408860227971178542714071836256247384489824139694671884393646230984211484270156969913721357283839009859797140977758932625709537555714873064409936314205046120132585573431017075482441857434266221435425467251645197357384475387944022361367877259551811380974852174849666739359334656398368503015429317641207305681638051559696569933479715913933224893301459984375457311736662770493860423436500161297920386310111217629421129118891965283937555745455133452630083950757088057471553935855396494098081865846178877589704506031354190302417868602057594850250513885429525503484462519620876342575622016167124113312292174424932049121154251099668776179610214468626734225834651973298506118661192330998967413021520538193141146834297864195344238314252854214413260292495171394419345433139345869269444888109248587261160401312978387637234145110582165730617292859544090834780723}
19360  24497552849926231894058532811408293356044100279942163759068243643765260: {792079,1138759,1369519,1778636,1945159,2859212,2862439,3433399,3630092,3775111,4196282,4569919,4884674,5169452,5342882,5361199,5509905,5800514,5877232,6398636,6597511,6611886,6821359,6859052,6901881,7472492,7602559,8183624,8216525,8238572,8293857,8380231,8491039,8712439,9206577,9264679,9815119,9859830,10345154,10473271,10517152,10532012,10570874,10582711,11019751,11447372,11564431,11696465,11697314,11831796,11998879,12107311,12315121,12323959,12454305,12576669,13268282,13274636,13284592,13832431,14035758,14367751,14386082,14793836,14945166,14972225,15220519,15248972,15539119,15857071,16610882,16625049,17437111,17593030,17966670,18689479,18821282,18897199,19164448,19208239,19608785,19791725,19931479,20137471,20240359,20537612,20840974,20922477,21111636,21139532,21454754,21560004,21590636,22080031,22282999,22545914,22838505,23192791,23494759,23530542,23576289,23750070,23796079,24361072,24696151,24709209,25132900,25333408,25788319,25985959,26384492,26546504,27165751,27406206,27654271,27946519,28012550,28500084,28625911,28881905,29066636,29281064,29415725,29739705,29772820,29864817,30106892,30159480,30191432,30527529,30547591,30997292,31200185,31402951,31722352,31750145,31917777,32170112,32367777,32415674,32721919,32815591,32941197,33002719,33218252,33470114,33513836,33582381,33615060,33890882,33929415,33965361,34213949,34304551,34547372,34658286,35007217,35133991,35298870,35317519,35641544,35687646,35727384,35775079,35856064,36191376,36403394,36684799,36756812,37046671,37440222,37652128,38100174,38304151,38393431,38481314,38749831,39082337,39101882,39723991,39812119,39831785,39979025,40059105,40096737,40193307,40338072,40426999,40705809,40715298,40827129,40951231,41038351,41161082,41559559,41819191,42321836,42358644,42532600,42594199,42729712,42759212,42851239,42876104,44379871,44414381,44628674,44800351,44831354,44941772,44968039,45135439,45357350,45380331,45385999,45522572,45552679,45646865,45649401,45719071,45957836,46428657,46850234,46964489,47448799,47596685,47798142,47849175,47855959,47974830,48070926,48099391,48129836,48235617,48261319,48277832,48603725,48877070,49066639,49226839,49626079,49652474,50010310,50229069,50249282,50582732,50891551,51039120,51072305,51173152,51241082,51283231,51437165,51834434,51983719,52447471,52871469,52985239,53049752,53366937,53600012,53658824,53747359,54125719,54312561,54344525,54428820,54441728,54470689,54586274,54776238,55031852,55275801,55756994,55831910,56076909,56211271,56650831,56728634,56902550,57015151,57116022,57116282,57173612,57419010,57458636,57503354,57569796,57666391,58057408,58168879,58324470,58652484,58880599,59514991,59680971,59864911,59991785,60005282,60012372,60366177,60490231,60581265,60701645,60835111,60933257,61246944,61286766,61451359,61616049,61724598,61913282,62143052,62212768,62263951,62465479,62482874,62861882,62866591,62933191,62942225,63132236,63792439,63837836,63988999,64250071,64315159,64574791,64620016,65123834,65213430,65311394,65314584,65728879,65804525,65855841,65918959,66045319,66373449,66450605,66485311,66672799,66758225,66797431,66805102,66998292,67020584,67045831,67274781,67354711,67755281,68270551,68283060,68331031,68474732,68808065,68812279,68902812,68931871,68939521,69110719,69195489,69229591,69401282,69560992,69878239,69953594,69989364,70053631,70575919,71048775,71206351,71443300,71546551,71731041,71825132,71990142,72163519,72697518,72835264,72841974,73208671,73478907,74280751,74333599,74544271,74582557,74596759,74962159,75261065,75324031,75398157,75530670,75785360,76037191,76087591,76122554,76238359,76388479,76488199,76816172,77015714,77372719,77469559,77564265,77614279,77643321,77815270,77905274,77949439,77973549,78186679,78195212,78256116,78515791,78702271,78718409,78791234,78965430,79117639,79391311,79433612,79436671,79478366,79707319,79740726,79849634,80089025,80109870,80276001,80372599,80503711,80532236,80546829,80552354,80566048,80727674,80893159,80947905,81106999,81120057,81192031,81334414,81403351,81571111,81902636,81939672,81985471,82352239,82392631,82432951,82472954,82569678,82633471,82673359,82735216,83048009,83263039,83759432,83911759,84024079,84229792,84581875,84751017,84756319,84804909,84827959,84887686,84934879,85258530,85356079,85450528,85596991,85702550,85731960,85733071,85766911,85800679,86125385,86233111,86266412,86298559,86344432,86410577,86428591,86589511,86723277,86937199,87047510,87090052,87092359,87153919,87606439,87622394,87782911,87812071,88029836,88102509,88268839,88653391,88706636,88733959,88760671,88805282,89071341,89075599,89112332,89152711,89203759,89279791,89304991,89553031,89652812,89793871,89888191,90116369,90148514,90313278,90320479,90451591,90617137,90636804,90664351,90706039,90910159,90942432,91009519,91136492,91145599,91164751,91259431,91352311,91447424,91490497,91637431,91722751,91773079,91952889,92030551,92116745,92122351,92181166,92182131,92312359,92340511,92432525,92476994,92481932,92593591,92642234,92680279,92728231,92831911,92843071,92981599,93031639,93077118,93144391,93196879,93278599,93316759,93378324,93407551,93480559,93491719,93497191,93523471,93543199,93552631,93574951,93634279,93640399,93643351,93659551,93677119,93690092,94229361,94360172,94758516,94865117,94996617,95384105,95435860,95960264,96106830,96131844,96448455,97137486,97650177,97694024,98159217,98363852,98485030,98654882,...,9736333526079324781525359267677005503145120315241840010712796802331077347029400534678302098137249256194844001389782404321488569453657246801235503123267471793190306893201194601357738101913477464872578601979796374531030018143530035018119044080924314822431408944572309128490871158778503126868407513934398288672905835351270164535608305325910027543337114303510735811896058668457216604491631507333221715586142194058470662993847567986861998670653788835261904799457409328573117740971778907193474618093206223193362893381517799951225736174126085673856100032010136768750890593796758126159073997245843102593401083171366399948847129877441546612483575238873969513916899833750635184159468363749500597178601016786374971992595189721489266266393171741087155752950209322958243719052119437983782189137427604289684174861950759297984967558584971807716331032170907629522988374925173550433666679882316591777771329630367868606426215364071220204350476825766416397305180779627492338332862328816121777014921468421297155432134493839905690291750070467725442057307645201500134666665785339164220741250382761892971148543923860715992866498105618442503691296308111226569382533382069195617567746550534933239026916301794601214300337026869850967456396420353136265319497480587234474603816394799231632651168219930546285847272426589072083468928453373579228529762463670830344609720396337420995599642293573091409717961149564665164187023950444415629405431517265704937906178580119737323501085132091408941444506408108362239052479996379692698410317017291624211248332676542233093273272666593202505162473153097648509013667080080432483968324039626272739199371484760447019472614379176951044347540085295876446001047444575775269751331450085418932948938368871287692387500085993895798249432300502858823759470881231639937529588865917123722060382969378855202882199607282072173465845234455189444830499153043882342651583241712502721816599848426557235936077137493552251071607905691806725295958258716428144286474998796889839909041904034842648429482599998992213803447992619865306050888255240388481388872525682005012344790136765989212766164388883930638465143882404152960859226826733439124269602277515922917125802833422030091640842636902002789552816354514190278905644897324132971855259354667585878480303961571390285429115008329845986432186259562512524861641312281979026875959884961809711785346479729521303678576834279383407619830752546581752273394826843447431241356100643255809912354961913900623002193596476512633850592029815157169679402415174633136233132888985812446208531158004020572423521609740908850735412928759911306287885244299857735279979167276415648883693991813897915333548397227181746814956839228172158522620378583407660606844603506778601009450743295405247807195325464109154461571836786272674708472253736557158136076793133667351847239367337979283359494501790100829354889498817749722899233242732161539001466225034906146952624835645634446202631064674824881589774665289884028694050924188195779063818927125651085670472285884347056660228525892460577519127825692593184145664783014880535083971183516312193480776220974156390479392121113040964}
19361  24594164397182026744233443894803172741915186526664337845950283411851501: {2223295,2667954,3574015,3615271,4288818,4537615,5142578,5445138,6294423,6461815,6534554,6587779,7160671,7283263,7327011,7346540,7754178,7998295,8014323,8442403,8573815,8700771,8708359,8815848,9202508,9340615,9597954,9917829,10229530,10288578,10298215,11058476,11208738,11624018,11792911,12275436,12325522,12357858,12879103,12942919,13146440,13165015,14109031,14309215,14789745,14794663,15035479,15107458,15517731,15775728,15798018,15856311,16425151,16593295,16605740,16768892,17171058,17351599,17545971,17590771,17747694,18492295,18575258,18714344,19061215,19424023,19902423,19911954,19926888,19957234,21053637,21315938,21385639,21579123,22166732,22190754,22282663,22417749,22746002,22873458,23228191,23262511,23911591,23955560,24053383,24516319,24916323,25037122,25620931,25672015,26389545,26417503,26424415,26905594,26950005,26988295,27694579,27757058,27896636,28148848,28231923,28746672,28953991,29373619,30371443,30451340,30806418,31186351,31261461,31374056,31416125,31435052,31463011,31666760,31667454,31709298,32182131,32340006,32385954,32464282,32945612,32976103,32980615,33183130,33818871,34214791,34758778,34992103,34993603,35239171,35295813,35625105,36333295,36541608,36580154,36601330,36942751,37139071,37216025,37388498,37516591,37633615,37699350,37709122,37739290,38000112,38746615,39402703,39574418,39576738,39652940,39819756,40212640,40670311,40703372,40771303,41109309,41522815,41641951,41702818,41867191,41892295,42018825,42243103,42389059,42557036,42560803,42750126,42787351,43157036,43184215,43599954,43921596,44421619,44551930,44659230,44687551,44733103,44776508,44820080,45160338,45239220,45287148,45869242,45946015,46211048,46332343,46418533,46495938,46951471,47065160,47327491,47566831,47583528,47636512,47816179,48165799,48166759,48255168,48545978,48623511,48860083,49069058,49827378,49920296,50205171,50270754,50422590,50800232,50836323,51821058,51987429,52902295,52948305,53150551,53165750,53412140,53446658,53449015,53462316,53531469,53591076,53595130,53784096,54274412,54287064,54348898,54436172,54517658,54605091,55135218,55218691,56033839,56115331,56160333,56177215,56327599,56426071,56460679,56478192,56542514,56874499,56903215,57150261,57447295,57721971,57870691,57901954,58115431,58643011,58652823,58942279,58964551,60162295,60191623,60347290,60507108,60865868,61072947,61741623,61904876,62980663,63228415,63461138,63482754,63537966,63730856,63798900,63966440,64094568,64138818,64314156,65173363,65463511,65544391,66312190,66719263,66943011,66972092,67000015,67073530,67247031,67412658,68036025,68052160,68283858,68789815,68936754,69262591,69414098,70173919,70275351,70470994,70481191,70495292,71155916,71271554,71467015,71697213,71823295,71962245,72106389,72194754,72388831,72393314,72416748,72487711,72571760,72867794,72944839,73034984,73289503,73315605,73701068,74478711,74769212,75015465,75020131,75293618,75373923,75551378,75874098,76154696,76558680,76759728,76861623,76966591,77678815,77751651,77765960,78203312,78426751,78915295,79308562,79574628,79585879,79654802,79750591,79797295,80016496,80321191,80400018,80488236,80497714,80558659,80775020,81297554,81643230,81662592,81715688,81879411,82154732,82164357,82299464,82547778,82889743,83391103,83635491,83747865,83775730,83965231,83993599,84287431,85092951,85311151,85353825,85482271,85565794,85593415,85674033,85674423,85713511,85760418,85853959,86128515,86187954,86255031,86354694,86727871,86951240,87086112,87486705,87599203,87807788,87869311,87978726,88389811,88497932,88597039,88986031,89266051,89304125,89331056,89694979,89699708,89781415,90007923,90018558,90101671,90656023,91044080,91204111,91321219,91870416,91930149,92260652,92586897,92721938,92869923,93000451,93175042,93214578,93319152,93724311,94115443,94281602,94292823,94698354,94731700,94893031,95337763,95490274,95641388,95756754,95875663,95948338,95986856,96020215,96592003,96882979,96930024,97122632,97482103,97685751,97744015,97820145,97967091,97971876,98763751,98770711,99044911,99108338,99206851,99292015,99354103,...,14604500289118987172288038901515508254717680472862760016069195203496616020544100802017453147205873884292266002084673606482232854180485870201853254684901207689785460339801791902036607152870216197308867902969694561796545027215295052527178566121386472233647113416858463692736306738167754690302611270901597433009358753026905246803412457988865041315005671455266103717844088002685824906737447260999832573379213291087705994490771351980292998005980683252892857199186113992859676611457668360790211927139809334790044340072276699926838604261189128510784150048015205153126335890695137189238610995868764653890101624757049599923270694816162319918725362858310954270875349750625952776239202545624250895767901525179562457988892784582233899399589757611630733629425313984437365578578179156975673283706141406434526262292926138946977451337877457711574496548256361444284482562387760325650500019823474887666656994445551802909639323046106830306525715238649624595957771169441238507499293493224182665522382202631945733148201740759858535437625105701588163085961467802250201999998678008746331111875574142839456722815885791073989299747158427663755536944462166839854073800073103793426351619825802399858540374452691901821450505540304776451184594630529704397979246220880851711905724592198847448976752329895819428770908639883608125203392680060368842794643695506245516914580594506131493399463440359637114576941724346997746280535925666623444108147275898557406859267870179605985251627698137113412166759612162543358578719994569539047615475525937436316872499014813349639909908999889803757743709729646472763520500620120648725952486059439409108799057227140670529208921568765426566521310127943814669001571166863662904626997175128128399423407553306931538581250128990843697374148450754288235639206321847459906294383298875685583090574454068282804323299410923108260198767851682784167245748729565823513977374862568754082724899772639835853904115706240328376607411858537710087943937388074642216429712498195334759863562856052263972644223899998488320705171988929797959076332382860582722083308788523007518517185205148983819149246583325895957697715823606229441288840240100158686404403416273884375688704250133045137461263955353004184329224531771285418358467345986199457782889032001378817720455942357085428143672512494768979648279389343768787292461968422968540313939827442714567678019719594281955517865251419075111429746128819872628410092240265171146862034150964883714868532442870850934503290394714768950775888044722735754519103622761949704349699333478718669312796737006030858635282414611363276103119393139866959431827866449786602919968750914623473325540987720846873000322595840772620222435258842258237783930567875111490910266905260167901514176114943107871710792988196163731692357755179409012062708380604835737204115189700501027770859051006968925039241752685151244032334248226624584348849864098242308502199337552359220428937253468451669303946597012237322384661997934826043041076386282293668595728390688476628505708428826520584990342788838690866278691738538889776218497174522320802625956775274468290221164331461234585719088181669561446}
19362  24691154233789799739930954962996648495403204879787768222450534748180451: {560657,830717,1023377,1177361,1408097,1584158,1715297,1983677,2175137,2277518,2519261,2739038,2862737,2900861,3433757,3471761,3557272,3813437,3890318,4001931,4267997,4608161,5361761,5399357,5587217,5718424,5724878,5924861,6299261,6433227,6635537,6710177,6866798,7260184,7268957,7380497,7550222,7713867,8167707,8381117,8392564,8491937,8750237,9139838,9183175,9486077,9769348,9801831,9852797,10338904,10685764,10693217,10722398,11019810,11493137,11503135,11601028,11601917,11631267,11754464,11819261,12036317,12361361,12757757,12797272,12901661,13081361,13195022,13223772,13642718,13718104,13803762,13823095,14298017,14396931,14944984,15009377,15205118,15222161,15257597,15344295,15432867,15540797,15894077,16281761,16367248,16375051,16433050,16477144,16587714,16760462,16808861,16813107,16949117,16982078,17124257,17424878,17436027,18066557,18205661,18413154,18488283,18518177,18529358,18536787,18726161,18933857,19210337,19244861,19417361,19630238,19719660,19968017,20242577,20585057,20690308,20757175,20946542,20960861,20961115,21034304,21064024,21141748,21165422,21165437,21301661,21471761,21675617,22014737,22039502,22285457,22319261,22661187,22894744,23128862,23392930,23394628,23497361,23530877,23663592,23697027,23798717,23832161,23997758,24214622,24630242,24647918,24698897,24831761,24908610,25153338,25527197,25692257,25756587,25791197,25988861,26021777,26120477,26317661,26481761,26536564,26549272,26569184,26621541,26776637,26972861,27168797,27452299,27664862,27708415,27862887,27949661,28071516,28079357,28435361,28629137,28735502,28772164,29587672,29867931,29890332,29913617,29935851,29944450,30441038,30497944,30868577,31078238,31343357,31438097,31714142,31784861,31973597,31973907,32725661,32756897,32850557,33221764,33250098,33286131,33379937,33659261,34119003,34308497,34310187,34400957,34770077,34870795,34874222,34892861,35168657,35186060,35687837,35779217,35933340,36719261,37050977,37378958,37441757,37555683,37642564,37794398,37801277,38064175,38328896,38338397,38416478,38784017,39217570,39293815,39375377,39583450,39728657,39846161,39862958,39992861,40274942,40358391,40431761,40434667,40460957,40480718,40694237,41075224,41182015,41304161,41564477,41635587,41681948,41766497,41844954,42223272,42279064,42599261,42713597,42884861,42909508,43120008,43181272,43680259,43878161,44047457,44160062,44413277,44450203,44469437,44565998,44581661,44833697,45091828,45140861,45168737,45391457,45419261,45677010,46209627,46222097,46385582,46387361,46826657,46963517,46989518,47061084,47152578,47500140,47501181,47563947,47592158,47861777,48510009,48578931,48696423,48722144,49072637,49099361,49392302,49392797,49418418,49566175,49774695,49897361,50265800,50267297,50530577,50666816,50879215,51315617,51576638,51971918,51990161,52138167,52376861,52479677,52489723,52633661,52768984,52991837,53017361,53093008,53196295,53373857,53779361,53905661,53946295,54132497,54157661,54331502,54812412,54870231,54883937,54901995,55033361,55308542,55503487,55764499,55893038,55970635,55997597,56025100,56082747,56242877,56389661,56549025,56563683,56608935,56901137,57000168,57022397,57119261,57251822,57763810,57841661,57961361,58133272,58176317,58343057,58562128,58675361,58831450,58888157,59053217,59170877,59361627,59365107,59382161,59479410,59545640,59729634,59732861,60174497,60213784,60318960,60382864,60428861,60521117,60567197,61055058,61095182,61322897,61459361,61482077,61595537,61994584,62002337,62272097,62400370,62473661,62496017,62554227,62563037,62805902,62897057,63444704,63500290,63691361,63835554,63905611,64019261,64125189,64128161,64340224,64345361,64453661,64648097,64735554,64831348,65291537,65399931,65443838,65631182,65882394,66005438,66075197,66436504,66635359,66702557,66765175,66806417,66827895,66940228,66988845,67027672,67075517,67164762,67230120,67384337,67732157,67740507,67781764,67813661,67843015,67858830,67930722,67935677,68045215,68118161,68299997,68400737,68427898,68541437,68609102,68701757,68803863,69094744,69139997,69199457,69239057,69316572,69743907,69887837,69907361,70014434,70024337,70267982,70597740,70635038,71159261,71273117,71283088,71348861,71375292,71454768,71501227,71550158,71556497,71712128,71744417,72006161,72012031,72173597,72358877,72382752,72428059,72561761,72806788,72818967,72855137,72909917,73369598,73513624,73543697,73603587,73722977,74093342,74344157,74361761,74741067,74816657,74880444,74972861,75304256,75386237,75406131,75633885,75659261,75744161,75811937,76064957,76082335,76098557,76200348,76266077,76416161,76499261,76608302,76763837,76786862,76846097,76911761,76962628,77381095,77383997,77400161,77480861,77496977,77499662,77625617,77731587,77737757,77817617,78164674,78203764,78213917,78261137,78960797,79037537,79447982,79624238,79663570,79748625,79958050,80031761,80074423,80118210,80169987,80193474,80386614,80392695,80559377,80676144,80853998,80991137,81048161,81133457,81204317,81411618,81430596,81523347,81597437,81625277,81654258,81680861,81776487,81902462,82039037,82076702,82080017,82283837,82322164,82485857,82646177,82686077,82699361,82702827,82818557,82884497,83094161,83119118,83288861,83404817,83430497,83638382,83715115,83736161,83937377,83988499,83999837,84049661,84111761,84223037,84345917,84589277,84643672,84673697,84717288,84781661,84813771,84853277,84888977,84982303,85065200,85188398,85195361,85300157,85381217,85459424,85518424,85553597,85702478,85752208,85825661,85892957,86048861,86257937,86323361,86377661,86442557,86635517,86741597,86852931,87106577,87168161,87320861,87361277,87630737,87660317,87777917,87826577,88119115,88152161,88292861,88486817,88759742,88784477,88828762,88944895,88960637,89064797,89090657,89142161,89176337,89227361,89257348,89278097,89320157,89568317,89600702,89662708,89689697,89721761,89883544,89936078,89958161,90270878,90452897,90474557,90520935,90617117,90714700,90728861,90760662,90770237,90771998,90872417,90926177,90932861,91045144,91105358,91187297,91225361,91256861,91293730,91294397,91298802,91438142,91501661,91619261,91653917,91728017,91789661,91795217,91915672,92000417,92052497,92126335,92139197,92329361,92471837,92494097,92511761,92572577,92602397,92615057,92757437,92818363,92819261,92857314,92875361,92950877,92999261,93029537,93030847,93049361,93052637,93156257,93162257,93206237,93217661,93296657,93312161,93322337,93334877,93373661,93387677,93394577,93440861,93461515,93471761,93489437,93493277,93510161,93563357,93571217,93593597,93649937,93654161,93659261,93660257,93663197,93673361,93680957,93685661,93692861,93699857,93700468,93704861,93717137,93717917,93718397,93719057,93720317,93928978,94897598,95191707,95193370,95224131,95306949,95596284,95698350,95711918,95949660,96141852,96198782,96208227,96259672,96331291,96471234,96522638,96555664,97207450,97754140,98133278,98147647,98453678,99252158,99304948,99468285,...,21906750433678480758432058352273262382076520709294140024103792805244924030816151203026179720808810826438399003127010409723349281270728805302779882027351811534678190509702687853054910729305324295963301854454541842694817540822942578790767849182079708350470670125287695539104460107251632035453916906352396149514038129540357870205118686983297561972508507182899155576766132004028737360106170891499748860068819936631558991736157027970439497008971024879339285798779170989289514917186502541185317890709714002185066510108415049890257906391783692766176225072022807729689503836042705783857916493803146980835152437135574399884906042224243479878088044287466431406313024625938929164358803818436376343651852287769343686983339176873350849099384636417446100444137970976656048367867268735463509925559212109651789393439389208420466177006816186567361744822384542166426723843581640488475750029735212331499985491668327704364458984569160245459788572857974436893936656754161857761248940239836273998283573303947918599722302611139787803156437658552382244628942201703375302999998017013119496667813361214259185084223828686610983949620737641495633305416693250259781110700109655690139527429738703599787810561679037852732175758310457164676776891945794556596968869331321277567858586888298271173465128494843729143156362959825412187805089020090553264191965543259368275371870891759197240099195160539455671865412586520496619420803888499935166162220913847836110288901805269408977877441547205670118250139418243815037868079991854308571423213288906154475308748522220024459864863499834705636615564594469709145280750930180973088928729089159113663198585840711005793813382353148139849781965191915722003502356750295494356940495762692192599135111329960397307871875193486265546061222676131432353458809482771189859441574948313528374635861681102424206484949116384662390298151777524176250868623094348735270966062293853131124087349658959753780856173559360492564911117787806565131915906082111963324644568747293002139795344284078395958966335849997732481057757983394696938614498574290874083124963182784511277775777807723475728723869874988843936546573735409344161933260360150238029606605124410826563533056375199567706191895933029506276493836797656928127537701018979299186674333548002068226580683913535628142215508768742153469472419084015653180938692952634452810470909741164071851517029579391422933276797877128612667144619193229808942615138360397756720293051226447325572302798664306276401754935592072153426163832067084103631778655434142924556524549000218078003969195105509046287952923621917044914154679089709800439147741799674679904379953126371935209988311481581270309500483893761158930333652888263387356675895851812667236365400357890251852271264172414661807566189482294245597538536632769113518094062570907253605806172784550751541656288576510453387558862629027726866048501372339936876523274796147363462753299006328538830643405880202677503955919895518355983576992996902239064561614579423440502893592586032714942758562643239780877485514183258036299418037607808334664327745761783481203938935162911702435331746497191851878578632272504342169}
19363  24788523830384420711622512630991963502100650489919705533338855670311153: {2376237,3112613,3416277,4040597,4108557,4272593,4446590,5003621,5335908,5835477,6352661,7148030,7230542,7785557,8577636,8587317,9046541,9075230,9133157,10285156,10291697,10300197,10490705,10890276,11197613,11325333,12003341,12145361,12211685,12588846,12923630,13069108,13076861,13175558,13357205,13709757,13767317,14321342,14417501,14501285,14566526,14654022,14693080,15296177,15508356,15768917,15996590,16028646,16083597,16529715,16748237,16884806,17147630,17401542,17416718,17631696,18405016,18431021,18548261,18681230,19195908,19792533,19835658,20032901,20459060,20464077,20577156,20596430,20705643,20789093,21809117,22116952,22417476,22807677,23230613,23248036,23585822,23917793,24550872,24649575,24651044,24715716,24881571,25140693,25273937,25473117,25712237,25758206,25862885,25875581,25885838,25889213,25999277,26137317,26292880,26330030,26406641,26427185,26685701,27619731,27794037,28218062,28259153,28618430,29243285,29376677,29445357,29579490,29589326,29699693,30070958,30214916,31035462,31419813,31551456,31596036,31712622,31741601,31748133,32349293,32729957,32850302,33059253,33170705,33186590,33211480,33537784,34093937,34218353,34342116,34693293,34703198,34714277,35089395,35091942,35181542,35250317,35495388,35646161,35940821,35965205,35996637,36321933,36945363,36971877,36984590,36994181,37150516,37362915,37428688,37435781,37730007,37783613,37794353,38122430,38848046,38950733,39108821,39804846,39823908,39853776,39914468,41288957,41493821,41497293,41527205,41646293,42059861,42107274,42631876,42771278,43103253,43158246,43583117,43909493,43982575,44333464,44381508,44426261,44565326,44835498,44916675,45386141,45492004,45572453,45661557,45746916,46172861,46456382,46525022,46617357,47053205,47571213,47743061,47821157,47823182,47911120,48064913,48106766,48212117,49032638,49527677,49832646,49875147,49995821,50074244,50516357,50866613,51241862,51344030,52102435,52311333,52498277,52687061,52779090,52835006,52848830,53156093,53636885,53811188,53900010,53976590,54113681,54245261,55389158,55514116,55793272,56068437,56121173,56297696,56364785,56463846,56691597,56880461,56923217,57442997,57493344,57612257,57624717,57907982,58131941,58649213,58747238,58767197,58826355,59361797,59375175,59403557,59794437,60212261,60412413,60457901,60615101,60721077,60742886,60902680,61612836,62232017,62372702,62522922,62748112,62767431,62832250,62870104,62926022,63333520,63334908,63347441,63418596,64324421,64364262,64680012,64771908,64928564,65258453,65891224,65901557,65952206,65961230,66240093,66366260,66726257,66848997,67215317,67324157,67637742,68429582,68515515,68656853,68681873,69269813,69517556,69578373,69659057,69984206,69987206,70031375,70478342,70484277,70591626,70728867,70739381,71250210,71388237,71426981,72666590,73083216,73160308,73202660,73597037,73885502,74063213,74088453,74127627,74278142,74427953,74432050,74776996,74828621,75033182,75267230,75398700,75418244,75478580,76000224,76043861,76088021,77364957,77461553,77493230,77870837,77957877,78648101,78805406,79098437,79148836,79153476,79305880,79639512,79664501,80329553,80425280,80426213,80520197,81015677,81039185,81161837,81340622,81406744,81497253,81542606,82218618,82827917,82962813,83045630,83283902,83289461,83295953,83405636,83468117,83675285,83734382,83784590,83839557,84002357,84037650,84227213,84486206,84727205,84778118,85114072,85121606,85500252,85574702,85862897,85877733,86207537,86314072,86368430,86645715,87199908,87608357,87619421,87843192,88247175,88399013,88519781,88606277,88843238,89103860,89219115,89318460,89375102,89466206,89553016,89594451,89640160,89786261,89795921,90041957,90111197,90320676,90478440,90574296,91008485,91330877,91582587,91642773,91738484,91892030,92422096,92664686,92837066,92991876,93010133,93201821,93326813,93600555,93800021,93902942,94130320,94208853,94654982,95133662,95167056,95250435,95273024,95347757,95632358,95753331,96203285,96305741,96331598,96333518,96510336,97091956,97103331,97247022,97305797,97720166,97754705,98138116,98165757,98206877,98397461,98446773,98774033,98823591,99008157,99612077,99654756,99840592,...,29209000578237974344576077803031016509435360945725520032138390406993232041088201604034906294411747768584532004169347212964465708360971740403706509369802415379570920679603583804073214305740432394617735805939389123593090054430590105054357132242772944467294226833716927385472613476335509380605222541803194866018717506053810493606824915977730082630011342910532207435688176005371649813474894521999665146758426582175411988981542703960585996011961366505785714398372227985719353222915336721580423854279618669580088680144553399853677208522378257021568300096030410306252671781390274378477221991737529307780203249514099199846541389632324639837450725716621908541750699501251905552478405091248501791535803050359124915977785569164467798799179515223261467258850627968874731157156358313951346567412282812869052524585852277893954902675754915423148993096512722888568965124775520651301000039646949775333313988891103605819278646092213660613051430477299249191915542338882477014998586986448365331044764405263891466296403481519717070875250211403176326171922935604500403999997356017492662223751148285678913445631771582147978599494316855327511073888924333679708147600146207586852703239651604799717080748905383803642901011080609552902369189261059408795958492441761703423811449184397694897953504659791638857541817279767216250406785360120737685589287391012491033829161189012262986798926880719274229153883448693995492561071851333246888216294551797114813718535740359211970503255396274226824333519224325086717157439989139078095230951051874872633744998029626699279819817999779607515487419459292945527041001240241297451904972118878818217598114454281341058417843137530853133042620255887629338003142333727325809253994350256256798846815106613863077162500257981687394748296901508576471278412643694919812588766597751371166181148908136565608646598821846216520397535703365568334491497459131647027954749725137508165449799545279671707808231412480656753214823717075420175887874776149284432859424996390669519727125712104527945288447799996976641410343977859595918152664765721165444166617577046015037034370410297967638298493166651791915395431647212458882577680480200317372808806832547768751377408500266090274922527910706008368658449063542570836716934691972398915565778064002757635440911884714170856287345024989537959296558778687537574584923936845937080627879654885429135356039439188563911035730502838150222859492257639745256820184480530342293724068301929767429737064885741701869006580789429537901551776089445471509038207245523899408699398666957437338625593474012061717270564829222726552206238786279733918863655732899573205839937501829246946651081975441693746000645191681545240444870517684516475567861135750222981820533810520335803028352229886215743421585976392327463384715510358818024125416761209671474408230379401002055541718102013937850078483505370302488064668496453249168697699728196484617004398675104718440857874506936903338607893194024474644769323995869652086082152772564587337191456781376953257011416857653041169980685577677381732557383477077779552436994349044641605251913550548936580442328662922469171438176363339122892}
19364  24886274663277098341565829045504703067629864456223808842201491910611878: {599323,1121314,1661434,1868899,2046754,2354722,2443099,2816194,2901163,3015499,3168316,3430594,3472123,3967354,4268443,4350274,4555036,5038522,5287099,5399923,5478076,5725474,5801722,5962963,6669885,6867514,6943522,7114544,7626874,7780636,8003862,8535994,9216322,10722045,10723522,10730803,10798714,10840099,10845813,11174434,11385499,11436848,11449756,11849722,12579043,12598522,12856445,12866454,13271074,13420354,13549099,13612845,13733596,14520368,14537914,14760994,15046483,15100444,15259243,15427734,16104389,16318723,16335414,16336385,16740499,16762234,16785128,16983874,17266099,17500474,17789899,18279676,18311899,18366350,18883269,18972154,19246963,19352333,19385445,19453963,19538696,19603662,19705594,19763337,20677808,20997283,21371528,21386434,21444796,21482013,21849789,21981033,22039620,22321723,22423099,22986274,23006270,23202056,23203834,23262534,23508928,23533483,23638522,23834803,23994885,24042969,24072634,24722722,25327209,25515514,25573825,25594544,25721445,25803322,26024683,26102313,26125077,26162722,26390044,26447544,26517523,27285436,27436208,27607524,27646190,28021845,28596034,28793862,28858099,29060045,29340499,29345561,29753487,29889968,30018754,30410236,30444322,30515194,30681643,30688590,30813805,30865734,30894645,31081594,31346923,31788154,32563522,32666899,32734496,32750102,32760643,32866100,32954288,33175428,33520924,33617722,33626214,33694123,33898234,33964156,34248514,34528099,34849756,34872054,35378733,36133114,36411322,36826308,36976566,37036354,37058716,37073574,37175683,37452322,37768645,37867714,38420674,38489722,38637309,38791781,38828757,38834722,39055099,39260476,39409483,39439320,39495045,39936034,40290403,40378099,40465723,40485154,41170114,41251099,41380616,41514350,41893084,41921722,41922230,42068608,42128048,42283496,42327093,42330844,42330874,42461203,42603322,42927645,42943522,43351234,43826899,44029474,44079004,44369235,44383989,44570914,44587003,44638522,45090499,45106437,45174163,45322374,45424723,45789488,46255243,46257724,46337899,46420483,46438145,46553193,46785860,46789256,46994722,47061754,47327184,47394054,47568933,47569099,47597434,47664322,47975899,47995516,48429244,48461683,48819113,49105363,49260484,49275453,49295836,49397794,49663522,49779885,49817220,49893085,50306676,51054394,51384514,51478123,51513174,51582394,51977722,52043554,52054797,52240954,52409083,52635322,52637913,52772313,52963522,53023963,53073128,53098544,53100499,53138368,53243082,53289845,53405923,53553274,53764777,53937643,53945722,54164443,54337594,54904598,54990499,55011341,55065163,55329724,55416830,55476885,55725774,55899322,56029243,56102899,56143032,56158714,56865005,56870722,57126523,57183645,57199099,57258274,57471004,57544328,57654821,57920899,58272069,59175344,59413243,59707269,59735862,59763883,59780664,59827234,59871702,59888900,60882076,60995888,61415101,61490083,61737154,62032963,62033309,62100499,62156476,62504203,62592805,62686714,62876194,63160911,63428284,63436099,63569722,63947194,63947814,64156917,64158403,64483843,64737369,65451322,65513794,65701114,66273043,66443528,66500196,66572262,66759874,66847989,67022563,67253247,67263985,67318522,67577899,67883899,68238006,68430163,68616994,68620374,68801914,69392645,69540154,69684573,69741590,69748444,69785722,69787533,69916963,70033963,70208923,70337314,70372120,70499083,70902283,71188123,71230901,71375674,71415499,71558434,71734773,71866680,72034843,72160149,72865363,73355899,73438522,73548957,74101954,74372323,74474813,74748969,74757916,74883514,75111366,75285128,75524813,75588796,75602554,75670123,75772003,76128350,76657792,76676794,76725499,76832956,76862793,77016045,77411443,77508283,77568034,77749123,78178099,78358889,78435140,78587630,78750754,78880099,79064563,79166900,79168635,79252509,79273245,79457314,79611043,79692322,79725916,79835683,79985722,80455099,80549884,80672899,80716243,80716782,80850015,80863522,80869334,80921914,80961436,80964885,81160705,81388474,81734899,82106203,82150448,82309963,82364030,82608322,82712083,82949899,82957825,83083737,83128954,83271174,83363896,83532994,83689908,84285499,84446544,84558128,84614683,84695769,85198522,85220563,85325323,85427194,85567243,85596797,85769722,85819016,86040499,86240016,86362544,86499643,86861973,86896945,87360518,87615499,87756322,88094914,88120857,88166803,88320124,88501603,88583683,88826554,88879099,88900406,88938874,89131996,89140099,89163322,89493403,89667394,89761099,90183656,90281722,90337474,90446899,90468643,90661099,90782914,90838522,90948883,91087483,91114329,91354020,91445899,91450385,91503325,91518043,91641523,91811803,91877899,92038099,92250283,92407099,92419254,92444194,92657443,92731099,92771164,92774722,92790499,92802163,92848099,93070363,93109099,93285499,93332803,93391843,93471245,93496099,93559053,93653314,93656443,93659899,93679123,93693163,93722899,93738523,93739603,93784383,93927034,93979036,94122168,94248375,94272805,94305156,94348225,94389033,94633409,94980221,95000280,95002362,95127894,95184316,95263301,95723554,95752261,96546393,97020018,97157862,97392846,97444288,98145274,98198722,98784604,98785594,98836836,98928309,98936045,98941845,99132350,99549390,99794722,...,43813500867356961516864116704546524764153041418588280048207585610489848061632302406052359441617621652876798006254020819446698562541457610605559764054703623069356381019405375706109821458610648591926603708909083685389635081645885157581535698364159416700941340250575391078208920214503264070907833812704792299028076259080715740410237373966595123945017014365798311153532264008057474720212341782999497720137639873263117983472314055940878994017942049758678571597558341978579029834373005082370635781419428004370133020216830099780515812783567385532352450144045615459379007672085411567715832987606293961670304874271148799769812084448486959756176088574932862812626049251877858328717607636872752687303704575538687373966678353746701698198769272834892200888275941953312096735734537470927019851118424219303578786878778416840932354013632373134723489644769084332853447687163280976951500059470424662999970983336655408728917969138320490919577145715948873787873313508323715522497880479672547996567146607895837199444605222279575606312875317104764489257884403406750605999996034026238993335626722428518370168447657373221967899241475282991266610833386500519562221400219311380279054859477407199575621123358075705464351516620914329353553783891589113193937738662642555135717173776596542346930256989687458286312725919650824375610178040181106528383931086518736550743741783518394480198390321078911343730825173040993238841607776999870332324441827695672220577803610538817955754883094411340236500278836487630075736159983708617142846426577812308950617497044440048919729726999669411273231129188939418290561501860361946177857458178318227326397171681422011587626764706296279699563930383831444007004713500590988713880991525384385198270222659920794615743750386972531092122445352262864706917618965542379718883149896627056749271723362204848412969898232769324780596303555048352501737246188697470541932124587706262248174699317919507561712347118720985129822235575613130263831812164223926649289137494586004279590688568156791917932671699995464962115515966789393877228997148581748166249926365569022555551555615446951457447739749977687873093147470818688323866520720300476059213210248821653127066112750399135412383791866059012552987673595313856255075402037958598373348667096004136453161367827071256284431017537484306938944838168031306361877385905268905620941819482328143703034059158782845866553595754257225334289238386459617885230276720795513440586102452894651144605597328612552803509871184144306852327664134168207263557310868285849113049098000436156007938390211018092575905847243834089828309358179419600878295483599349359808759906252743870419976622963162540619000967787522317860667305776526774713351791703625334472730800715780503704542528344829323615132378964588491195077073265538227036188125141814507211612345569101503083312577153020906775117725258055453732097002744679873753046549592294726925506598012657077661286811760405355007911839791036711967153985993804478129123229158846881005787185172065429885517125286479561754971028366516072598836075215616669328655491523566962407877870325823404870663492994383703757157264545008684338}
19365  24984408214477132788154448332592664076296999294376867639132180987131632: {1681971,2492151,3070131,3532083,3960395,4224291,4752474,4775251,5145891,5693795,5951031,6225226,6525411,6832554,6847595,7557783,8081194,8217114,8545186,8588211,8702583,8893180,9524267,9725795,10007242,10219751,10301271,10415283,10671816,10793731,11252483,11440311,11670954,12005793,12705322,12803991,13574227,13824483,14296060,14312195,14461084,14686987,15421499,15571114,16085283,16198071,16761651,17096359,17155272,17166995,17174634,17774583,18093082,18150460,18200843,18266314,18700087,18875555,18897783,19299681,19346867,19793371,19906611,20130531,20301799,20570312,20583394,20600394,20981410,21780552,21806871,22141491,22395226,22650666,22849595,23141601,23513291,24006682,24290722,24423370,24503121,25143351,25177692,25475811,25774411,25847260,26138216,26153722,26250711,26290907,26351116,26714410,26731651,26805995,27419514,27534634,27549525,28458231,28642684,28835002,28919767,29002570,29133052,29138867,29308044,29386160,29405493,29558391,30592354,31016712,31537834,31993180,32057292,32079651,32167194,32987555,33059430,33496474,33769612,34106795,34295260,34479411,34509405,34717891,34803084,34805751,34833436,34893801,35263392,35457783,35475907,36108951,36208039,36445243,36501443,36765431,36810032,36862042,36998059,37084083,37096522,37362460,38012795,38273271,38391816,38704983,39244083,39585066,39671316,39839827,40017559,40065802,40261463,40918120,40928154,40940599,41082625,41154312,41192860,41411286,41469285,41513219,41578186,41901155,42455195,42894051,43190793,43485619,43562195,43618234,44233904,44742419,44834952,45028131,45615354,45666483,45772791,46032885,46298601,46323395,46375447,46438987,46461226,46496072,46622391,47171644,47682231,47835586,48845283,49007123,49075595,49101744,49125153,49299150,49302088,49431432,49763142,50281386,50351287,50426583,50439321,50547874,50725687,50847351,50946234,51372771,51424474,51516412,51725770,51751162,51771676,51778426,51998554,52274634,52308081,52366355,52503763,52585760,52660060,52813282,52854370,52913555,53371402,53405207,54098531,54199671,54454859,54616983,55098755,55239462,55464849,55554531,55588074,55610361,56178483,56264827,56436124,56518306,56801571,57236860,57631011,57734583,57822155,57845659,57882743,58138087,58252083,58482325,58486570,58753354,58890714,58954643,59158980,59178652,59399386,59409751,59904051,59994395,60141916,60422611,60429832,60536555,60727731,61404583,61575605,61619795,61755171,62070924,62202779,62271525,62839626,62882583,62883345,63102912,63192072,63425244,63483202,63496266,63496311,63904983,64415283,64698586,65026851,65459914,65700604,65874487,66044211,66118506,66341410,66373180,66382019,66422960,66856371,66957783,67075568,67222363,67983561,68187874,68436706,68684232,69020059,69162155,69386586,69406396,69428554,70154851,70178790,70183884,70363084,70492083,70500634,70592631,70990776,71091081,71292322,71396151,71496483,71838755,71881642,71930410,71993274,72643866,72943409,73780883,73787939,73890726,73943754,73969180,73988362,74096691,74301032,74495283,74725830,74857376,74861125,74871562,75091639,75460014,75567226,75588706,75617959,76102595,76244860,76581591,77076771,77269761,77373591,77510227,77695595,77696092,77901466,77966583,78065331,78217642,78361431,78621619,78894071,78910699,78952983,79285355,79445283,79609692,79647816,79707552,79828936,79864623,80329911,80918583,81506391,82356897,82577914,82987642,82994586,83054410,83125245,83292586,83588661,83848983,84119722,84214548,84238071,85120951,85263752,85306083,85542556,85635643,85887411,86206506,86316492,86327959,87166234,87185555,87248267,87818986,87965150,88666928,88763016,88852522,89004563,89130652,89603793,89670996,89740851,89795623,89807553,89833350,90051331,90772282,90984008,91144906,91323114,91493832,92029171,92153303,92345722,92605731,92912764,93050044,93234714,93447395,93479971,94030071,94106410,94314291,94485995,95142426,95354583,95486122,95642314,95646364,95822240,95920791,95921721,96041195,96129826,96140771,96213532,96424234,96612119,98043925,98065276,98176983,98270691,98551671,98958625,99055354,99443987,99657395,99665292,99750294,99858393,99991642,...,65720251301035442275296175056819787146229562127882420072311378415734772092448453609078539162426432479315197009381031229170047843812186415908339646082055434604034571529108063559164732187915972887889905563363625528084452622468827736372303547546239125051412010375863086617313380321754896106361750719057188448542114388621073610615356060949892685917525521548697466730298396012086212080318512674499246580206459809894676975208471083911318491026913074638017857396337512967868544751559507623555953672129142006555199530325245149670773719175351078298528675216068423189068511508128117351573749481409440942505457311406723199654718126672730439634264132862399294218939073877816787493076411455309129030955556863308031060950017530620052547298153909252338301332413912929968145103601806206390529776677636328955368180318167625261398531020448559702085234467153626499280171530744921465427250089205636994499956475004983113093376953707480736379365718573923310681809970262485573283746820719508821994850719911843755799166907833419363409469312975657146733886826605110125908999994051039358490003440083642777555252671486059832951848862212924486899916250079750779343332100328967070418582289216110799363431685037113558196527274931371494030330675837383669790906607993963832703575760664894813520395385484531187429469088879476236563415267060271659792575896629778104826115612675277591720297585481618367015596237759561489858262411665499805498486662741543508330866705415808226933632324641617010354750418254731445113604239975562925714269639866718463425926245566660073379594590499504116909846693783409127435842252790542919266786187267477340989595757522133017381440147059444419549345895575747166010507070250886483070821487288076577797405333989881191923615625580458796638183668028394297060376428448313569578324724844940585123907585043307272619454847349153987170894455332572528752605869283046205812898186881559393372262048976879261342568520678081477694733353363419695395747718246335889973933706241879006419386032852235187876899007549993197443173273950184090815843495722872622249374889548353533833327333423170427186171609624966531809639721206228032485799781080450714088819815373232479690599169125598703118575687799088518829481510392970784382613103056937897560023000644006204679742051740606884426646526306226460408417257252046959542816078857903358431412729223492215554551088738174268799830393631385838001433857579689426827845415081193270160879153679341976716908395992918829205264806776216460278491496201252310895335966302428773669573647000654234011907585316527138863858770865751134742464037269129401317443225399024039713139859379115805629964934444743810928501451681283476791000958664790162070027687555438001709096201073670755556813792517243985422698568446882736792615609898307340554282187712721760817418518353652254624968865729531360162676587887083180598145504117019810629569824388442090388259897018985616491930217640608032511867759686555067950730978990706717193684843738270321508680777758098144828275687929719342632456542549774108898254112823425003992983237285350443611816805488735107305995239491575555635735896817513026507}
19366  25082925971713751072503316374650045776293244512075660485755530422807666: {907993,1198646,2060713,2242628,3322868,3737798,4093508,4344553,4709444,4886198,5588389,5632388,5802326,6030998,6336632,6711589,6861188,6944246,7128711,7934708,7938793,8493733,8536886,8700548,8825833,9110072,9337839,10077044,10248831,10574198,10586089,10695493,10799846,10956152,11116475,11132389,11450948,11568133,11603444,11925926,12111193,12121791,12219589,12325671,12817779,13339770,13735028,13887044,14229088,14372389,15010863,15253748,15331753,15561272,15968089,16007724,17071988,17506431,17547589,17870075,17999023,18076355,18432644,18591589,19057983,20041093,20247013,21444090,21447044,21461606,21597428,21680198,21691626,22087333,22188889,22348868,22688075,22770998,22870939,22873696,22899512,23099653,23301253,23356671,23603113,23699444,23803993,25158086,25197044,25301413,25598953,25712890,25732223,25732908,25761951,26542148,26840708,27098198,27139623,27225690,27399471,27467192,27761113,28150489,28732393,29022373,29040736,29075828,29521988,29984293,30092966,30175813,30200888,30518486,30855468,30875091,30900591,31413673,31472115,32208778,32309075,32357593,32637446,32670828,32672770,32826853,32938895,33014053,33480998,33524468,33570256,33592839,33945733,33967748,33975999,34316389,34408873,34532198,35000948,35329753,35579798,35803355,36010023,36416315,36436083,36559352,36623798,36635055,36732700,37766538,37869913,37944308,38406889,38493926,38704666,38763433,38770890,38852389,38907926,39077392,39207324,39230583,39411188,39526674,39737989,39826153,39991475,40071615,40684063,41052889,41129271,41301951,41355616,41834053,41994566,42212015,42743056,42772868,42780889,42869075,42889592,42964026,43139327,43252503,43293673,43503855,43541795,43699578,43962066,44079240,44480089,44643446,44846198,44900389,45888531,45972548,46012540,46404112,46407668,46525068,46645993,46703075,46892773,47017856,47066966,47277044,47306751,47466073,47669606,47989770,48085938,48145268,48250791,48278953,49445444,49589145,50244711,50654418,50910373,51031028,51147650,51189088,51442890,51491075,51606644,52049366,52204626,52250154,52325444,52780088,52876103,52895088,53005033,53035046,53767513,54372313,54570872,54872416,55215048,55292380,55293063,55644783,56043690,56232613,56672389,56964133,57192068,57587724,57716198,58120090,58191193,58680998,58691122,58964555,59115493,59377599,59506974,59779936,60037508,60098703,60582889,60820472,60888644,61030388,61338853,61363286,61377180,61392231,61543513,61627610,61731468,61789290,62116929,62163188,62355673,62367279,62693846,62957989,63024553,63540191,63576308,63883333,64014373,64340713,64395515,64600489,64665253,64714595,65013403,65127044,65308933,65333798,65427351,65468992,65500204,65521286,65732200,65818693,65825075,65908576,65945413,66350856,67041848,67134889,67235444,67252428,67388246,67750489,67796468,67928312,68358889,68419333,68423031,68497028,68640407,69056198,69257989,69691839,69699512,69744108,69850319,70082533,70545155,70662853,70757466,71064793,71292889,71546075,71753379,72193753,72266228,72581483,72822644,73564453,73652616,73948725,73953132,73973315,74072708,74117432,74147148,74351366,74365273,74605783,74628613,74644713,74837989,74904644,75177395,75407833,75422079,75537290,75735428,75821811,76120489,76321513,76419351,76841348,76979444,77136711,77274618,77551813,77583562,77588655,77626743,77648293,77657514,77667639,77669444,77997831,78031333,78110198,78411951,78520952,78783589,78818966,78878640,78990090,79014889,79198633,79219923,79281555,79290073,79426693,79472089,79611007,79872068,80057103,80408773,80580806,80583589,80756198,80931446,80970308,81650089,82023013,82064089,82125755,82340228,82430533,82470889,82502198,82511173,82711513,82761232,82859193,82966475,83028700,83301733,83382111,83456389,83786168,83843444,83844460,84137216,84256096,84566992,84579589,84654186,84661688,84661748,84777459,84922406,84975193,85206644,85603753,85808089,85841893,85855290,85887044,86663593,86702468,86757995,86790889,87104089,87227353,87629927,87653798,87729855,87826393,87855589,87953855,88058948,88130031,88158008,88336071,88697989,88738470,88767978,88805413,88990633,89099079,89141828,89174006,89249113,89277044,89325253,89350489,89375653,89623333,90180998,90212874,90278533,90348326,90498853,90520489,90644748,90648793,90849446,91213273,91232389,91326889,91578976,91772389,91839493,92018089,92080873,92187973,92391589,92461475,92510486,92515448,92645353,92675798,92792233,92840966,92876290,92895589,92993113,93044773,93094633,93106386,93197989,93332773,93500389,93530089,93552553,93571720,93578512,93699973,93718873,93737989,93756889,93760453,93989444,94123508,94169579,94259439,94654368,94788108,95137866,95138198,95194868,95224803,95244399,95306075,95328644,95951798,95991032,96858488,96923366,97047879,97120115,97149703,97638226,98189871,98210726,98520968,98550906,98591672,98795588,99177759,99327044,99512115,99559770,99634440,99786170,...,87627001734713923033728233409093049528306082837176560096415171220979696123264604812104718883235243305753596012508041638893397125082915221211119528109407246138712762038810751412219642917221297183853207417818167370779270163291770315163071396728318833401882680501150782156417840429006528141815667625409584598056152518161431480820474747933190247890034028731596622307064528016114949440424683565998995440275279746526235966944628111881757988035884099517357143195116683957158059668746010164741271562838856008740266040433660199561031625567134771064704900288091230918758015344170823135431665975212587923340609748542297599539624168896973919512352177149865725625252098503755716657435215273745505374607409151077374747933356707493403396397538545669784401776551883906624193471469074941854039702236848438607157573757556833681864708027264746269446979289538168665706895374326561953903000118940849325999941966673310817457835938276640981839154291431897747575746627016647431044995760959345095993134293215791674398889210444559151212625750634209528978515768806813501211999992068052477986671253444857036740336895314746443935798482950565982533221666773001039124442800438622760558109718954814399151242246716151410928703033241828658707107567783178226387875477325285110271434347553193084693860513979374916572625451839301648751220356080362213056767862173037473101487483567036788960396780642157822687461650346081986477683215553999740664648883655391344441155607221077635911509766188822680473000557672975260151472319967417234285692853155624617901234994088880097839459453999338822546462258377878836581123003720723892355714916356636454652794343362844023175253529412592559399127860767662888014009427001181977427761983050768770396540445319841589231487500773945062184244890704525729413835237931084759437766299793254113498543446724409696825939796465538649561192607110096705003474492377394941083864249175412524496349398635839015123424694237441970259644471151226260527663624328447853298578274989172008559181377136313583835865343399990929924231031933578787754457994297163496332499852731138045111103111230893902914895479499955375746186294941637376647733041440600952118426420497643306254132225500798270824767583732118025105975347190627712510150804075917196746697334192008272906322735654142512568862035074968613877889676336062612723754771810537811241883638964656287406068118317565691733107191508514450668578476772919235770460553441591026881172204905789302289211194657225105607019742368288613704655328268336414527114621736571698226098196000872312015876780422036185151811694487668179656618716358839201756590967198698719617519812505487740839953245926325081238001935575044635721334611553053549426703583407250668945461601431561007409085056689658647230264757929176982390154146531076454072376250283629014423224691138203006166625154306041813550235450516110907464194005489359747506093099184589453851013196025314155322573623520810710015823679582073423934307971987608956258246458317693762011574370344130859771034250572959123509942056733032145197672150431233338657310983047133924815755740651646809741326985988767407514314529090017368676}
19367  25181829428458025539898035319381147890542861341136167205894096556607548: {1797969,2803285,3363942,4153585,4891249,4984302,5116885,5544553,5587237,5606697,5886805,6140262,7040485,7064166,7329297,7862833,7920790,7971313,8448582,8576485,8703489,9046497,9504948,9550502,9586633,9918385,9982753,10181113,10291782,10416369,10644769,10875685,11387590,11902062,12450452,12596305,12805329,13050822,13298389,13458373,13616113,13665108,13695190,14215993,14313685,14504305,15115566,15861297,16162388,16199769,16238869,16434228,17090372,17168785,17176422,17235793,17358805,17405166,17596249,17786360,17888889,18862393,19048534,19067185,19088689,19451590,20002693,20009655,20014484,20037073,20439502,20549353,20602542,20709973,20830566,21339985,21343632,21587462,21622969,22504966,22656073,22880622,23040805,23341908,24011586,24033793,25410644,25607982,26425777,26808805,26996785,27148454,27185737,27648966,27936085,28104073,28592120,28624390,28922168,28963033,29261413,29373974,29624305,30842998,31142228,31472809,31480273,31496305,31989433,32166135,32170566,32192409,32396142,32520297,32537439,32566969,33050533,33177685,33523302,33550885,34156497,34192718,34310544,34333990,34349268,35549166,36186164,36300920,36344785,36401686,36505249,36532628,36902485,36954277,37400174,37528393,37737129,37751110,37795566,38569335,38599362,38693734,39586742,39670753,39813222,40261062,40603598,40647297,40683049,40838535,41140624,41166788,41200788,41880229,41905585,41934673,41962820,42459685,42574057,42800713,43138069,43561104,43613742,43751185,44122369,44282982,44747077,44790452,45139449,45301332,45395593,45699190,45777729,45915875,46182577,46283202,46606873,47026582,47342257,47430385,47581729,47749513,47994097,48013364,48313167,48581444,48846740,48956169,49006242,49009155,49061077,49263985,49681669,49981369,50006233,50221497,50286702,50355384,50593393,50951622,51548822,51694520,51798297,52276432,52307444,52501422,52581814,52702232,52904473,53217913,53369697,53428820,53463302,53466085,53611990,54460537,54839028,54935697,55069268,55099050,55215553,56345173,56478433,56649807,56916462,57285368,57465685,57515675,57670004,57740889,57839534,57888769,57917509,58005140,58009585,58056999,58133713,58156335,58266104,58277734,58361889,58616088,58661617,58772320,58810986,59096305,59116782,59290011,59374249,59437273,59673793,60181585,60521257,60861313,60987073,61184708,61806805,62033424,62854117,62991849,63075668,63788785,63986360,64114584,64159302,64233913,64334388,64446039,64508305,64852753,65406805,65549367,65943099,65975110,66118860,66965169,66992948,67005769,67269297,67539224,68213590,68590520,68651593,68705833,68958822,69018810,69115475,69435782,69520753,69606168,69611502,69666872,69673669,69787602,70195813,70526784,70600449,70754113,70915566,70951814,71490085,71504409,71909569,71984655,72128907,72217902,72416078,72557353,72890486,72967393,73002886,73312897,73530862,73620064,73724084,73996118,74078977,74168166,74193044,74438053,74724920,75043537,75046885,75981627,76025590,76110805,76287985,76546542,76721475,76783632,77138257,77164335,77409966,77703985,78074049,78306939,78375231,78451477,78488166,79170132,79342632,79470385,79552569,79679654,79775569,79933249,80035118,80131604,80443273,80522926,80583793,80951017,81408805,81836240,81856308,81875255,81881198,82165250,82308624,82385720,82468873,82793953,82822572,82938570,83026438,83156372,83802310,83992153,84044305,84065535,84313753,84597169,84745585,84751177,84910390,85242553,85337977,85621285,85788102,86205847,86267713,86381586,86574297,86971238,87124390,87180135,87195589,87236468,87257413,87331093,87896953,88021497,88036683,88467808,89013829,89260461,89484838,89669904,89814757,90056262,90332785,91028305,91092613,91230708,91232593,91332966,91350193,91545582,92044929,92065770,92163049,92441415,92590885,92597202,92646790,92683935,92750894,92877974,92922452,92992144,93244782,93346249,93630805,94040769,94343288,94669285,95005273,95364462,95671172,96051685,96224305,96622177,96827017,97086805,97512769,97690566,98000697,98014246,98071609,98151190,98203488,98250306,98281929,98417953,98598300,98604176,98862864,99526284,99840085,...,131440502602070884550592350113639574292459124255764840144622756831469544184896907218157078324852864958630394018762062458340095687624372831816679292164110869208069143058216127118329464375831945775779811126727251056168905244937655472744607095092478250102824020751726173234626760643509792212723501438114376897084228777242147221230712121899785371835051043097394933460596792024172424160637025348998493160412919619789353950416942167822636982053826149276035714792675025935737089503119015247111907344258284013110399060650490299341547438350702156597057350432136846378137023016256234703147498962818881885010914622813446399309436253345460879268528265724798588437878147755633574986152822910618258061911113726616062121900035061240105094596307818504676602664827825859936290207203612412781059553355272657910736360636335250522797062040897119404170468934307252998560343061489842930854500178411273988999912950009966226186753907414961472758731437147846621363619940524971146567493641439017643989701439823687511598333815666838726818938625951314293467773653210220251817999988102078716980006880167285555110505342972119665903697724425848973799832500159501558686664200657934140837164578432221598726863370074227116393054549862742988060661351674767339581813215987927665407151521329789627040790770969062374858938177758952473126830534120543319585151793259556209652231225350555183440595170963236734031192475519122979716524823330999610996973325483087016661733410831616453867264649283234020709500836509462890227208479951125851428539279733436926851852491133320146759189180999008233819693387566818254871684505581085838533572374534954681979191515044266034762880294118888839098691791151494332021014140501772966141642974576153155594810667979762383847231251160917593276367336056788594120752856896627139156649449689881170247815170086614545238909694698307974341788910665145057505211738566092411625796373763118786744524097953758522685137041356162955389466706726839390791495436492671779947867412483758012838772065704470375753798015099986394886346547900368181631686991445745244498749779096707067666654666846340854372343219249933063619279442412456064971599562160901428177639630746464959381198338251197406237151375598177037658963020785941568765226206113875795120046001288012409359484103481213768853293052612452920816834514504093919085632157715806716862825458446984431109102177476348537599660787262771676002867715159378853655690830162386540321758307358683953433816791985837658410529613552432920556982992402504621790671932604857547339147294001308468023815170633054277727717541731502269484928074538258802634886450798048079426279718758231611259929868889487621857002903362566953582001917329580324140055375110876003418192402147341511113627585034487970845397136893765473585231219796614681108564375425443521634837036707304509249937731459062720325353175774166361196291008234039621259139648776884180776519794037971232983860435281216065023735519373110135901461957981413434387369687476540643017361555516196289656551375859438685264913085099548217796508225646850007985966474570700887223633610977470214611990478983151111271471793635026053014}
19368  25281120083944875709907935726916510330526528633259281294160200016873420: {1139231,1293167,1523831,1815986,1945967,2099231,2397292,2520047,2634647,2863631,3016127,4042127,4121426,4345007,4382831,4485256,5045913,5363447,6039167,6301247,6413447,6645736,6824231,6973367,7382831,7475596,7476453,7754231,7976687,8187016,8494631,8642327,8689106,9210393,9415631,9418888,9599231,9772396,10596249,10733087,11176778,11264776,11604652,11605631,11881185,12061996,12653807,12672873,12673264,13423178,13722376,13888492,13981367,14257422,14325753,15333407,15368831,15437673,15563065,15869416,15877586,16392647,16744127,16814327,16987466,17073772,17081385,17129831,17339807,17401096,17651666,17793767,17853093,17863487,18220144,18315887,18675678,19043831,19423727,19576233,20154088,20202985,20386367,20497662,20542785,20967767,21148396,21172178,21362965,21390986,21580847,21599692,21912304,22232950,22264778,22428047,22630631,22673349,22901896,23135831,23136266,23206888,23337407,23605727,23806631,23840087,23851852,23940407,24222386,24243582,24439178,24651342,24840047,25018105,25304231,25306897,25634831,25635558,25764633,25799831,25931687,26107749,26129231,26589047,26679540,27308447,27470056,27774088,28088831,28458176,28541927,28572801,28735631,28744778,28767887,29177385,30019631,30021726,30179231,30410809,30507496,30659253,30663506,30688607,30903813,30974231,31122544,31245849,31417247,31448831,31763305,31936178,32015448,32381193,32736887,32830607,32861831,33204767,33757449,33949631,33980567,34143976,34320933,34412831,34996967,35012862,35095178,35150207,35740150,35791631,35998046,36017379,36152710,36429527,36701831,36822647,36865288,37183178,37184327,37454831,38115966,38411973,38530367,38797631,38927785,39830831,39860207,39948287,40082186,40094927,40446047,40494026,40562831,40722681,41260847,41318807,41405687,41473449,41694767,42728831,42888180,42894088,42923212,42936585,42985727,43194856,43360396,43383252,43724231,43893887,44060961,44174666,44377778,44681807,44697736,45101327,45157127,45232705,45268631,45376150,45541996,45665785,45685631,45741878,45747392,45799024,46114453,46199306,46264497,46404167,46602506,46713342,47206226,47398888,47580647,47607986,47987567,48255849,48527327,48594213,49090631,49357631,49756631,49995167,50124697,50284953,50316172,50394088,50602826,50680631,50916647,50982841,51197906,51289077,51425780,51458485,51464446,51465816,51490847,51500985,51523902,52112831,52453525,52473527,52653287,53011631,53037167,53084296,53113727,53323749,53681416,53799527,54196396,54279246,54451380,54602529,54798942,54904631,54934384,55054127,55128767,55426607,55522226,55988065,56100261,56264231,56300978,56411087,56533247,56626665,56693349,56849927,57141047,57213647,57464786,57899043,57935687,57983567,58040601,58044746,58081472,58151656,58198631,58294007,58436831,58697927,58768967,59043976,59096821,59380113,59719833,59968586,60016705,60185932,60351626,60391593,60401776,60406127,60521567,60659831,60726805,60905397,60958513,61036972,61058425,61095767,61551527,61687631,61710936,61750182,61801182,62026631,62363831,62498207,62587631,62827346,62899607,62944230,63913631,64022831,64044647,64370927,64417556,64618150,64715186,65189447,65274892,65341656,65345540,65384305,65420613,65653706,65877790,66028106,66080687,66424473,66708647,66786025,66961996,67048936,67081967,67140512,67185678,67391087,67891466,67902287,67935496,67951998,68145887,68307647,68448767,68548785,68632778,68817746,68836585,69064396,69227831,69424803,70001896,70092167,70228247,70539873,70659506,70787831,71074631,71159596,71188847,71245847,71435327,71529767,71606710,71830631,72020046,72036287,72087505,72506425,72647447,72832630,72872166,72940631,73118704,73195487,73247596,73270110,73412687,73465400,73509363,73754231,74216927,74393447,74534087,75092953,75430053,75533076,75739826,75742847,75888616,76427433,76480885,76499207,76715749,76813778,76846631,76987852,77323233,77409332,77417831,77482487,77526866,77541780,77563127,77579231,77704778,77815852,77819831,78154784,78232607,78295631,78414648,78461166,78624407,78702167,78752133,78822376,78844585,78872721,79053348,79225631,79317047,79475978,79652306,79664807,79982950,80112047,80143230,80194953,80417985,80420831,80479247,80941967,81120481,81297767,81368126,81620687,81759767,81787487,81966887,82105778,82117631,82258542,82550377,82603902,82648575,82711232,82724231,82737527,82777367,82922831,83171807,83314631,83327567,83443631,83668106,83741185,83939087,83989132,84076631,84126407,84424030,84749831,84929231,85340831,85374693,85410407,85486112,85545736,85561778,85617407,85628831,85697207,85738150,85779184,85787927,85866887,85928052,86090327,86123567,86278654,86288687,86354231,86397767,86446393,86452007,86505006,86527607,86587346,86759301,86783831,86993831,87007710,87083590,87241607,87251831,87399156,87416601,87644327,87664127,87703631,87924132,88082087,88158480,88216479,88243247,88675173,88829231,88926647,88960178,89135831,89170247,89187407,89213087,89272727,89286892,89390831,89399207,89638631,89692396,89719631,89791847,89800778,89807807,90153721,90188831,90294167,90383207,90514607,90521831,90600433,90600767,91000967,91073831,91171631,91210247,91235831,91305527,91324367,91490687,91550807,91604231,91633631,91686047,91777062,91856087,91894727,91945096,92025080,92102831,92155105,92179631,92204831,92209847,92380367,92427287,92464247,92598287,92666831,92741305,92765807,92773847,92808224,92815336,92883047,92890607,92927927,92960831,93050136,93062447,93065831,93112367,93227807,93268631,93291986,93310631,93326927,93399167,93406150,93449231,93502127,93532847,93544631,93554231,93571007,93597527,93614207,93709631,93718847,93719831,93730127,93732767,93744887,93749927,93758831,93762167,93770447,93772967,93775631,93776831,93778631,93779831,93785546,94035712,94133932,94554088,94613502,94932146,95339212,95979540,96171876,96238953,96290536,96501582,96557906,98763217,98890888,98962665,99178290,...,197160753903106326825888525170459361438688686383647260216934135247204316277345360827235617487279297437945591028143093687510143531436559247725018938246166303812103714587324190677494196563747918663669716690090876584253357867406483209116910642638717375154236031127589259851940140965264688319085252157171565345626343165863220831846068182849678057752576564646092400190895188036258636240955538023497739740619379429684030925625413251733955473080739223914053572189012538903605634254678522870667861016387426019665598590975735449012321157526053234895586025648205269567205534524384352054721248444228322827516371934220169598964154380018191318902792398587197882656817221633450362479229234365927387092866670589924093182850052591860157641894461727757014903997241738789904435310805418619171589330032908986866104540954502875784195593061345679106255703401460879497840514592234764396281750267616910983499869425014949339280130861122442209138097155721769932045429910787456719851240462158526465984552159735531267397500723500258090228407938926971440201660479815330377726999982153118075470010320250928332665758014458179498855546586638773460699748750239252338029996300986901211255746867648332398090295055111340674589581824794114482090992027512151009372719823981891498110727281994684440561186156453593562288407266638428709690245801180814979377727689889334314478346838025832775160892756444855101046788713278684469574787234996499416495459988224630524992600116247424680800896973924851031064251254764194335340812719926688777142808919600155390277778736699980220138783771498512350729540081350227382307526758371628757800358561802432022968787272566399052144320441178333258648037686727241498031521210752659449212464461864229733392216001969643575770846876741376389914551004085182891181129285344940708734974174534821755371722755129921817858364542047461961512683365997717586257817607849138617438694560644678180116786146930637784027705562034244433084200060090259086187243154739007669921801118725637019258158098556705563630697022649979592329519821850552272447530487168617866748124668645060601499982000269511281558514828874899595428919163618684097457399343241352142266459446119697439071797507376796109355727063397265556488444531178912353147839309170813692680069001932018614039226155221820653279939578918679381225251771756140878628448236573710075294238187670476646663653266214522806399491180894157514004301572739068280483536245243579810482637461038025930150725187978756487615794420328649380835474488603756932686007898907286321008720941001962702035722755949581416591576312597253404227392111807388203952329676197072119139419578137347416889894803334231432785504355043850430373002875994370486210083062666314005127288603221012266670441377551731956268095705340648210377846829694922021662846563138165282452255555060956763874906597188594080488029763661249541794436512351059431888709473165326271164779691056956849475790652921824097535603279059665203852192936972120151581054531214810964526042333274294434484827063789158027897369627649322326694762338470275011978949711856051330835450416466205321917985718474726666907207690452539079521}
19369  25380799443195153830139916247891501099658424941712150974799193104283338: {2723979,2996615,3595938,3924599,5606570,5780567,5815019,6182139,6244559,6727884,7163639,8241527,8307170,9292439,9344495,9782498,9856679,9968604,10233770,11089106,11174474,11213394,11378891,11773610,11797799,12007079,12215495,12280524,13033659,13885739,14080970,14114879,14128332,14505815,14658594,15041711,15077495,15225959,15725666,15841580,15942626,16431959,16765167,16800719,16897164,17152970,17358791,17360615,17406978,17634827,18092994,19009896,19101004,19173266,19836770,19965506,20039159,20134767,20306027,20362226,20583564,20795567,20832738,21289538,21342215,21386133,21751370,22138247,22291919,22355951,22775180,23079551,23804124,23816379,24036299,24285599,24302327,24900904,25192610,25481199,25610658,25883639,26101644,26435495,26477499,26596778,26694059,26775359,26865707,26916746,26999615,27232226,27330216,27390380,28013517,28431986,28627370,29008610,29385851,29814815,29875979,30231132,30384059,30688799,30746493,31722594,31758267,31902827,32086479,32257127,32324776,32359367,32399538,32477738,32868456,33349425,33397167,33704999,34180744,34229039,34337570,34352844,34471586,34704399,34717610,34810332,35008139,35192498,35572720,35777778,36333579,36365373,36658767,36938831,36977013,37203959,37447439,37532327,37724786,37795499,38097068,38134370,38177378,38453337,38903180,39110519,40005386,40019310,40028968,40074146,40788239,40879004,41098706,41205084,41301839,41419946,41474027,41661132,42072959,42406667,42679970,42687264,42944519,43117167,43142567,43174924,43245938,43923167,44094827,45009932,45032589,45312146,45400319,45761244,45995259,46081610,46448759,46683816,46971239,47165291,47836091,47904267,48023172,48067586,48079967,48186767,48227159,48880379,49559159,50011439,50736251,50821288,50882699,51215964,51663479,52018559,52519293,52642767,52851554,53107991,53610225,53617610,53654015,53993570,53997069,54200495,54229065,54296908,54371474,55297932,55485179,55774767,55872170,56138699,56208146,56898347,56927495,57173949,57184240,57248780,57460919,57844336,57926066,58139807,58522826,58667819,58747948,59113679,59248610,59443559,60123279,60231047,60741039,60789191,60867659,61251659,61404779,61685996,62284456,62347511,62895215,62945618,62960546,62992610,63789227,63978866,64282225,64332270,64335227,64341132,64384818,64792284,65040594,65074878,65133938,66043319,66101066,66261999,66355370,66402539,66566667,66747239,67046604,67101770,67745495,68064225,68312994,68353199,68385436,68612817,68621088,68658767,68667980,68698536,68703479,68969579,69277151,69298959,69903759,70070013,70169567,70248719,70761479,70809339,71098332,71411979,71866247,71917067,72372328,72601840,72689570,72803372,72975551,73010498,73065256,73619999,73804970,73908554,74800348,74852519,75056786,75232415,75474258,75502220,75591132,75633707,75904239,76296215,76481687,76728251,76796859,77138670,77196669,77198724,77285853,77387468,77999627,79123451,79173484,79341506,79626444,80354639,80451959,80521945,80522124,80545319,81207196,81213419,81294594,81366098,81418869,81593615,81677070,81681925,82198413,82281248,82333576,82401576,82734827,82853759,83195471,83283339,83315447,83702495,83760458,83811170,83869346,83925640,84254219,84451467,84919370,85148114,85601426,85749599,85889711,86197179,86276138,86330495,86529527,87067119,87122208,87227484,87340199,87502370,87906167,88244738,88426619,88565964,88949495,89304299,89494154,89580904,89635691,89952879,90278898,90311627,90527439,90602664,90791186,91359851,91398380,91481867,91555458,91559495,91569527,91740959,91831750,92365154,92566404,92625273,92701773,93039179,93213746,93353927,93355967,94053164,94241019,94416345,94466567,94684514,94860770,95163458,95377739,95499026,95988194,96026728,96234815,96626334,96761665,96927225,97072779,97162888,97269815,97522991,97693480,97847399,97912338,98012484,98018310,98122154,98237771,98428199,98480559,98527970,98804879,98816685,99042159,99363338,99962738,...,262881005204141769101184700227279148584918248511529680289245513662939088369793814436314156649705729917260788037524124916680191375248745663633358584328221738416138286116432254236658928751663891551559622253454502112337810489875310945489214190184956500205648041503452346469253521287019584425447002876228753794168457554484294442461424243799570743670102086194789866921193584048344848321274050697996986320825839239578707900833884335645273964107652298552071429585350051871474179006238030494223814688516568026220798121300980598683094876701404313194114700864273692756274046032512469406294997925637763770021829245626892798618872506690921758537056531449597176875756295511267149972305645821236516123822227453232124243800070122480210189192615637009353205329655651719872580414407224825562119106710545315821472721272670501045594124081794238808340937868614505997120686122979685861709000356822547977999825900019932452373507814829922945517462874295693242727239881049942293134987282878035287979402879647375023196667631333677453637877251902628586935547306420440503635999976204157433960013760334571110221010685944239331807395448851697947599665000319003117373328401315868281674329156864443197453726740148454232786109099725485976121322703349534679163626431975855330814303042659579254081581541938124749717876355517904946253661068241086639170303586519112419304462450701110366881190341926473468062384951038245959433049646661999221993946650966174033323466821663232907734529298566468041419001673018925780454416959902251702857078559466873853703704982266640293518378361998016467639386775133636509743369011162171677067144749069909363958383030088532069525760588237777678197383582302988664042028281003545932283285949152306311189621335959524767694462502321835186552734672113577188241505713793254278313298899379762340495630340173229090477819389396615948683577821330290115010423477132184823251592747526237573489048195907517045370274082712325910778933413453678781582990872985343559895734824967516025677544131408940751507596030199972789772693095800736363263373982891490488997499558193414135333309333692681708744686438499866127238558884824912129943199124321802856355279261492929918762396676502394812474302751196354075317926041571883137530452412227751590240092002576024818718968206962427537706586105224905841633669029008187838171264315431613433725650916893968862218204354952697075199321574525543352005735430318757707311381660324773080643516614717367906867633583971675316821059227104865841113965984805009243581343865209715094678294588002616936047630341266108555455435083463004538969856149076517605269772901596096158852559437516463222519859737778975243714005806725133907164003834659160648280110750221752006836384804294683022227255170068975941690794273787530947170462439593229362217128750850887043269674073414609018499875462918125440650706351548332722392582016468079242518279297553768361553039588075942465967720870562432130047471038746220271802923915962826868774739374953081286034723111032392579313102751718877370529826170199096435593016451293700015971932949141401774447267221954940429223980957966302222542943587270052106028}
19370  25480869017037814449791199332622303980866283815991968782012978224339253: {715321,1177849,1869481,1984501,2278462,2586334,2673109,2902069,3016441,3047662,3130741,3631972,3891934,4198462,4383289,4794584,5040094,5269294,5393907,5401621,5727262,6032254,7532281,8084254,8242852,8409855,8643241,8690014,8765662,8970512,10091826,10726894,10843561,11498041,12078334,12460755,12602494,12826894,12907189,13230649,13291472,13648462,13660921,13946734,14624821,14673747,14765662,14951192,14952906,15350655,15370489,15508462,15795001,15953374,16218361,16374032,16633659,16761711,16820091,16956469,16989262,17271721,17284654,17378212,17660415,18213589,18420786,18831262,18837776,19198462,19460341,19544792,19563769,19801975,20388601,21004201,21121455,21192498,21311029,21466174,21788291,21820969,21987891,22353556,22430521,22529552,22633129,23209304,23211262,23588499,23762370,23842729,23876255,23913939,23943061,24123992,24842809,25141429,25307614,25345746,25346528,25729455,25934581,26110467,26132149,26624809,26846356,27139491,27311509,27444752,27507061,27776984,27962734,28091989,28284179,28468975,28514844,28577449,28651506,28759899,28771129,29350441,29446741,29755155,29908151,29948259,30543339,30666814,30737662,30787381,30875346,31126130,31249107,31452409,31641769,31738832,31755172,31934307,32113909,32584249,32627055,32771881,32785294,32865589,33488254,33628654,33974932,33984469,34147544,34162770,34237975,34259662,34540021,34632361,34679614,34802192,34908949,35025347,35184889,35303332,35551801,35587534,35706186,35726974,35940047,36440288,36464041,36631774,36736309,37188649,37351356,37459189,37788915,37818901,38087662,38415987,38847454,39152466,39157561,39864889,39895167,40308176,40375119,40392361,40405970,40480021,40567609,40772734,40848339,40995324,41085570,41699701,41935534,42296792,42344356,42647979,42725930,42733909,42781972,42941055,43161694,43199384,43512915,43824608,44465900,44468627,44529556,44603029,44687161,44856094,45190441,45261262,45274069,45346698,45803792,45940501,46271662,46272532,46354681,46413776,46437301,46674814,47095669,47211454,47583891,47613262,47621335,47680174,47703704,47880814,47993401,48444772,48479401,48487164,48599307,48628975,48716607,48878356,49123369,49302684,49603321,49680094,50036210,50608462,50613794,50713129,51098755,51269662,51271116,51497209,51506355,51529266,51575221,51599662,51707379,51863374,52076415,52119289,52215498,52258462,52505749,52788747,53043769,53120341,53178094,53196841,53359080,53666667,53968655,54498899,54616894,54711721,54940112,55011241,55085941,55160569,55548176,55680949,56124181,56177662,56262415,56564821,56587179,56916352,57083854,57145602,57148309,57201555,57220921,57266067,57293461,57471262,57489556,57535774,57871189,58086649,58301461,58354770,58800169,60008079,60028965,60039262,60043452,60066361,60111219,60358462,60552469,60690709,60821618,60828661,61014992,61318506,61327012,61377214,61648059,61718329,61807626,61948462,62057269,62124841,62129919,62245088,62491698,62528761,62595829,62729749,62834494,62897662,62930089,63196201,63325787,63461161,63526610,63872356,63932099,64019955,64030896,64053109,64762386,64768681,64868907,65219509,65411641,65473774,65661214,65723662,66110581,66299689,66362581,66409534,66738421,67111669,67420729,67514898,67790371,67850389,67871135,67899262,67961134,67968219,67972501,68287952,68337109,68518441,68641866,68825662,69122415,69993934,70025724,70062841,70190356,70300414,70989049,71217721,71388469,71480300,71558569,71560975,71583262,71996092,72034758,72041879,72064981,72101379,72305420,72565561,72859054,72950869,73403662,73434935,73645294,73657081,73730576,73925461,74366356,74368654,74909662,75497941,75753721,75855529,76231932,76808341,76823946,76956409,77060734,77107495,77445289,77493781,77590549,77595262,77783221,77831209,77855570,77926969,78212521,78259861,78383291,78542389,79145641,79277331,79661662,79720414,79871401,79896574,80164372,80189854,80426415,80535061,80752681,80795989,80892094,80988052,80990355,81097129,81125662,81310069,81445362,81557211,81647029,81730549,82143829,82184761,82521694,82590121,82637614,82750249,82790101,82811374,82946898,82988281,83091019,83340469,83389534,83533609,83808255,83838889,83952181,84023387,84102229,84312219,84325141,84727081,85017527,85084921,85366009,85435561,85457662,85481795,85608181,85642489,85776360,85788176,85834975,85846424,85873170,85948021,85971454,86313529,86379049,86389712,86541589,86573881,86720792,86734261,86766504,86889099,86955769,87266089,87418549,87448462,87658741,87688441,87784239,87787774,88096681,88121922,88210729,88267321,88349332,88628149,88655401,88755556,88872915,89055541,89185321,89236729,89363614,89395472,89414389,89613109,89734969,89783209,90066601,90202654,90314254,90465410,90494101,90515881,90537262,90537589,90664067,90708661,90729721,90752300,91004215,91017001,91083992,91135801,91155349,91331570,91371262,91483756,91494784,91538027,91598048,91620649,91655929,91844821,91911349,92088361,92226709,92228906,92301049,92315701,92398612,92485909,92528994,92580409,92619829,92709289,92721781,92808334,92842741,92854441,92866069,92889109,93021301,93083509,93171961,93205012,93245689,93289429,93331369,93347641,93394729,93417301,93426684,93460501,93487861,93500435,93632761,93716281,93719701,93729529,93738709,93749941,93768949,93792169,93796309,93797929,94377775,94412452,94418427,94440819,94488915,94797776,94914247,95161294,95215972,95968299,95975134,96371219,96498405,96511698,96577227,96734335,97054654,97188426,97560891,97612317,97700907,98181262,98715262,98966855,99151599,99513262,99533055,99990334,...,394321507806212653651777050340918722877377372767294520433868270494408632554690721654471234974558594875891182056286187375020287062873118495450037876492332607624207429174648381354988393127495837327339433380181753168506715734812966418233821285277434750308472062255178519703880281930529376638170504314343130691252686331726441663692136365699356115505153129292184800381790376072517272481911076046995479481238758859368061851250826503467910946161478447828107144378025077807211268509357045741335722032774852039331197181951470898024642315052106469791172051296410539134411069048768704109442496888456645655032743868440339197928308760036382637805584797174395765313634443266900724958458468731854774185733341179848186365700105183720315283788923455514029807994483477579808870621610837238343178660065817973732209081909005751568391186122691358212511406802921758995681029184469528792563500535233821966999738850029898678560261722244884418276194311443539864090859821574913439702480924317052931969104319471062534795001447000516180456815877853942880403320959630660755453999964306236150940020640501856665331516028916358997711093173277546921399497500478504676059992601973802422511493735296664796180590110222681349179163649588228964181984055024302018745439647963782996221454563989368881122372312907187124576814533276857419380491602361629958755455379778668628956693676051665550321785512889710202093577426557368939149574469992998832990919976449261049985200232494849361601793947849702062128502509528388670681625439853377554285617839200310780555557473399960440277567542997024701459080162700454764615053516743257515600717123604864045937574545132798104288640882356666517296075373454482996063042421505318898424928923728459466784432003939287151541693753482752779829102008170365782362258570689881417469948349069643510743445510259843635716729084094923923025366731995435172515635215698277234877389121289356360233572293861275568055411124068488866168400120180518172374486309478015339843602237451274038516316197113411127261394045299959184659039643701104544895060974337235733496249337290121202999964000539022563117029657749799190857838327237368194914798686482704284532918892239394878143595014753592218711454126794531112976889062357824706295678618341627385360138003864037228078452310443641306559879157837358762450503543512281757256896473147420150588476375340953293327306532429045612798982361788315028008603145478136560967072490487159620965274922076051860301450375957512975231588840657298761670948977207513865372015797814572642017441882003925404071445511899162833183152625194506808454784223614776407904659352394144238278839156274694833779789606668462865571008710087700860746005751988740972420166125332628010254577206442024533340882755103463912536191410681296420755693659389844043325693126276330564904511110121913527749813194377188160976059527322499083588873024702118863777418946330652542329559382113913698951581305843648195071206558119330407704385873944240303162109062429621929052084666548588868969654127578316055794739255298644653389524676940550023957899423712102661670900832932410643835971436949453333814415380905078159042}
19371  25581330322132168330344747896261110386092230363410577196397546660155373: {3417693,3879501,4195261,4539965,4571493,5447958,5837901,5993230,6297693,6979213,7191876,7560141,7849198,7903941,8590893,8712869,9048381,10303565,11213140,11561134,11630038,12126381,12364278,12489118,12526349,12885773,13035021,13082293,13148493,13455768,14327278,15064709,15137739,15775453,16090341,16483054,16614340,17101693,17390201,18117501,18555949,18584878,18688990,18903741,19240341,19564996,19713358,19937208,20308141,20467540,20472693,20864381,20920101,21108493,21396749,21722765,22148493,22178212,22348948,22426788,22429359,22757782,22948889,23262693,23547220,23595598,23930061,24014158,24304861,24430990,24561048,25483893,25926981,26067318,26175173,27275833,27631179,27771478,27941945,28161940,28229758,28246893,28256664,28797693,28928773,29011630,29317188,29647193,29879101,30083422,30154990,30451918,31451332,31486829,31683160,31750381,31788747,31885252,32199261,32424809,32863918,33530334,33557945,33601438,33794328,34305940,34717582,34721230,34728733,34813956,34816893,35269654,35643555,36185988,37009693,37670293,37703341,37767389,37799461,37961421,38018619,38019792,38202008,38346532,39423173,39673540,39693965,39931012,40030021,40078318,40269534,40612054,40724452,41167128,41526221,41591134,41665476,41740741,41944101,42468665,42579076,42684430,42772266,42977259,43499161,43502740,43601221,44129165,44276494,44583838,44711902,45550360,46000221,46106493,46159102,46313019,46356413,46689195,47608248,47632758,47762893,48072598,48571198,48604654,49177941,49801808,50232381,50269109,50385220,50442981,50537341,50741533,50962398,51221316,51244155,51389493,51767278,52019421,52203288,52870990,52930445,52954998,53193556,53381301,53388118,53477465,53550718,53559279,53590461,53731414,53833492,53999230,54464452,54660432,54780760,54947661,55582375,55661945,56027034,56062949,56411321,56863972,57131493,57254740,57840665,58017220,58271181,58728699,58771702,58973189,59629630,59751958,60222893,60462264,60533861,60555965,60608955,60768118,61097945,61159101,61377598,61423741,61492986,61628355,62222261,62903301,63445188,63516534,63805654,64088895,64156793,64172958,64514254,64649552,64718734,64742541,64799076,64955476,64981549,65388853,65736912,66698850,66794334,67243501,67284141,67409998,67891893,68020047,68361488,68458078,68675140,68705688,68710681,68943172,69041593,69407493,69408798,69435220,69620664,70012221,70016278,70384996,70817181,71145440,71419893,71520261,71555556,71625529,71821221,71861945,72572621,72667158,72730746,72982589,73289341,73317534,73674221,73877662,73954026,74407918,74520141,74894878,75034949,75054315,75064654,75115621,75449572,75590998,75641581,75738281,75880693,75912693,75920691,76032541,76194136,76268740,76354756,76658765,76736269,76904493,76906674,77293899,77399493,77795061,77806360,78221038,78323247,78387693,79698493,79767141,79840445,80010772,80038620,80057936,80148292,80212501,81576478,81758008,81925341,82197412,82410168,82603678,82839892,82948054,83322264,83628149,84145918,84156701,84266493,84813334,85359940,85374528,85625781,85662361,85718403,85889038,86206893,86234334,86243833,86285134,86303661,86349848,86354893,86491876,87532155,87737945,87846334,88053301,88189654,89350375,89995115,90019864,90058893,90065178,90079453,90253693,90381775,90537693,90624292,90800638,91111721,91232427,91522488,91977759,91990518,92065821,92163220,92182541,92674189,92711439,92897518,92922693,92957945,93363661,93367632,93401429,93509533,93737547,93942478,94058821,94251741,94330582,94346493,94843693,95289915,95672182,95808534,95836829,96046344,96135172,96159934,96373534,96454318,97143579,97760758,98210661,98248069,98491821,98585493,99118318,99475133,99614301,99830741,...,591482261709318980477665575511378084316066059150941780650802405741612948832036082481706852461837892313836773084429281062530430594309677743175056814738498911436311143761972572032482589691243755991009150070272629752760073602219449627350731927916152125462708093382767779555820422895794064957255756471514696036879029497589662495538204548549034173257729693938277200572685564108775908722866614070493219221858138289052092776876239755201866419242217671742160716567037616710816902764035568612003583049162278058996795772927206347036963472578159704686758076944615808701616603573153056164163745332684968482549115802660508796892463140054573956708377195761593647970451664900351087437687703097782161278600011769772279548550157775580472925683385183271044711991725216369713305932416255857514767990098726960598313622863508627352586779184037037318767110204382638493521543776704293188845250802850732950499608275044848017840392583367326627414291467165309796136289732362370159553721386475579397953656479206593802192502170500774270685223816780914320604981439445991133180999946459354226410030960752784997997274043374538496566639759916320382099246250717757014089988902960703633767240602944997194270885165334022023768745474382343446272976082536453028118159471945674494332181845984053321683558469360780686865221799915286129070737403542444938133183069668002943435040514077498325482678269334565303140366139836053408724361704989498249486379964673891574977800348742274042402690921774553093192753764292583006022438159780066331428426758800466170833336210099940660416351314495537052188620244050682146922580275114886273401075685407296068906361817699197156432961323534999775944113060181724494094563632257978347637393385592689200176648005908930727312540630224129169743653012255548673543387856034822126204922523604465266115168265389765453575093626142385884538050097993152758773452823547415852316083681934034540350358440791913352083116686102733299252600180270777258561729464217023009765403356176911057774474295670116690892091067949938776988559465551656817342591461505853600244374005935181804499946000808533844675544486624698786286757490856052292372198029724056426799378338359092317215392522130388328067181190191796669465333593536737059443517927512441078040207005796055842117678465665461959839818736756038143675755315268422635885344709721130225882714563011429939990959798643568419198473542682472542012904718217204841450608735730739431447912383114077790452175563936269462847383260985948142506423465811270798058023696721858963026162823005888106107168267848744249774728937791760212682176335422164611856989028591216357418258734412042250669684410002694298356513065131551291119008627983111458630249187998942015381865809663036800011324132655195868804287116021944631133540489084766064988539689414495847356766665182870291624719791565782241464089290983748625383309537053178295666128419495978813494339073170870548427371958765472292606809837178995611556578810916360454743163593644432893578126999822883303454481191367474083692108882947966980084287015410825035936849135568153992506351249398615965753957155424180000721623071357617238563}
19372  25682184880990221011941098363206397624356999425377072352962405669335737: {1023907,1370371,1430642,1600987,2176267,2355698,3663571,3738962,3969002,4459387,4556924,4799371,5172668,5346218,5590147,5804138,6032882,6095324,6261482,6825667,7263944,7783868,8171937,8396924,8717971,8766578,8989845,9491107,9589168,10080188,10538588,10698907,10787814,10803242,11245027,11454524,11773797,12006571,12064508,12223507,12331867,13088371,14016425,15064562,16168508,16485704,16817971,16819710,17133547,17286482,17341701,17380028,17445057,17531324,17867371,17941024,18546417,18701707,18733677,18909571,19427971,20150707,20183652,20767925,21453788,21483571,21490917,21687122,22196227,22297747,22996082,23208187,24156668,24456245,24724581,24921510,25204988,25584425,25653788,25706587,25814378,26003371,26461298,26496571,26582944,27296924,27321842,27722765,27877317,27893468,27936185,28033485,28159987,29249642,29347494,29434025,29531324,29570037,29902384,29905812,30701310,30740978,31016924,31590002,31906748,32436722,32748064,33025387,33212371,33267318,33426757,33523422,33640182,33912938,33978524,34136673,34420747,34543442,34569308,34756424,35202425,35320830,35341987,35393397,35982571,36021237,36427178,36646485,36841572,36891571,37662524,37675552,37972867,38396924,38866027,38920682,39089584,39100977,39127538,39314165,39603950,39767981,39840187,39856565,40016371,40630747,40777202,41328571,41657217,42008402,42242910,42344637,42384996,42474601,42622058,42796147,42881827,42882425,42932348,43517445,43576582,43641938,43734667,43975782,44707112,44861042,45000427,45059104,45125133,45167971,45232485,45266258,45585571,45677877,45752107,46418608,46422524,46662907,46991947,47176998,47483347,47524740,47685458,47752510,47827878,47886122,47933165,48247984,48296587,49262971,49295877,49423027,49591925,49685618,49913765,50282858,50295501,50402157,50615228,50691492,50693056,50693107,50905565,51458910,51869162,52076373,52081845,52220934,52264298,52904481,53024827,53223845,53249618,53692712,53939371,54278982,54378425,54468067,54623018,54889504,54918427,55014122,55440571,55553968,55925468,56183978,56547571,56568358,56937950,57029688,57058627,57154898,57303012,57519798,57542258,57998371,58700882,58893482,59208907,59420371,59510310,59816302,59896518,60117477,60404301,60467971,60675547,60918081,61086678,61333628,61362787,61475324,61574762,61635667,61750692,62252260,62312827,62386701,62498214,62904818,62981525,63049387,63283538,63477664,63510344,63842971,63868614,64026645,64158399,64170571,64227818,64496371,64690987,65168498,65254110,65543762,65570588,65731178,66098371,66414741,66491945,66669869,66726571,66851347,66875757,66976508,67067853,67257308,67291865,67949864,67968938,68080565,68295088,68325540,68447227,68475950,68519324,68688427,68988307,69080042,69238653,69264722,69286387,69359228,69464371,69604384,69817898,70050694,70369778,70606664,71079965,71103602,71175068,71412372,71449137,71453948,71538257,71568425,71880094,71888107,72108897,72335371,72465569,72521525,72856797,72880576,72906981,72928082,73263548,73472618,74377298,74702712,74918378,75556117,75577830,75637802,75798571,76052371,76175324,76443597,76554571,76831974,76901827,77049571,77537371,77650917,77694908,77874547,78304932,78315122,78767381,79096027,79306485,79432497,79507507,79729778,79790334,80082177,80115893,80326077,80597121,80616352,80750238,80784722,80811940,80960042,80998845,81052267,81135218,81180571,81194345,81265747,81545468,81696678,81812371,81990648,82101667,82142707,82171140,82508827,82549147,82948387,83340427,83399402,83495227,83871068,83990371,84040551,84065467,84177571,84593584,84655867,84688712,84908371,85015507,85262971,85295958,85451860,85467818,85506907,85563944,85678987,85843925,85882110,85883107,86051227,86178965,86323388,86382067,86398768,86447371,86794025,86833147,87025830,87146707,87177667,87239371,87649216,87692971,87781747,87899107,87981245,88157553,88272571,88742587,88931800,88937254,89059112,89206058,89217571,89294467,89374322,89395987,89421187,89444445,89627937,89712188,89766427,89838571,90235147,90347827,90380882,90458707,90522524,90548138,90567787,90632371,90693396,90801427,91152177,91280947,91337971,91607584,91881002,92066397,92084107,92223427,92239479,92442667,92543324,92545064,92579827,92709362,92772067,92808571,92827552,92866433,92874602,92925571,93003187,93349628,93386947,93402571,93425467,93542971,93585307,93591067,93602371,93618787,93654571,93664147,93677971,93753571,93791371,93795187,93796987,93814627,93815347,94191338,94311965,94422908,95019589,95167782,95226524,95242670,95274801,95335925,95360348,95407408,95443445,95708481,95761628,95791949,95986802,96259437,96771381,96889544,96958802,96974328,97078101,97198614,97257950,97433214,97756712,98198477,98246738,98605368,99206642,99360188,...,788643015612425307303554100681837445754754745534589040867736540988817265109381443308942469949117189751782364112572374750040574125746236990900075752984665215248414858349296762709976786254991674654678866760363506337013431469625932836467642570554869500616944124510357039407760563861058753276341008628686261382505372663452883327384272731398712231010306258584369600763580752145034544963822152093990958962477517718736123702501653006935821892322956895656214288756050155614422537018714091482671444065549704078662394363902941796049284630104212939582344102592821078268822138097537408218884993776913291310065487736880678395856617520072765275611169594348791530627268886533801449916916937463709548371466682359696372731400210367440630567577846911028059615988966955159617741243221674476686357320131635947464418163818011503136782372245382716425022813605843517991362058368939057585127001070467643933999477700059797357120523444489768836552388622887079728181719643149826879404961848634105863938208638942125069590002894001032360913631755707885760806641919261321510907999928612472301880041281003713330663032057832717995422186346555093842798995000957009352119985203947604845022987470593329592361180220445362698358327299176457928363968110048604037490879295927565992442909127978737762244744625814374249153629066553714838760983204723259917510910759557337257913387352103331100643571025779420404187154853114737878299148939985997665981839952898522099970400464989698723203587895699404124257005019056777341363250879706755108571235678400621561111114946799920880555135085994049402918160325400909529230107033486515031201434247209728091875149090265596208577281764713333034592150746908965992126084843010637796849857847456918933568864007878574303083387506965505559658204016340731564724517141379762834939896698139287021486891020519687271433458168189847846050733463990870345031270431396554469754778242578712720467144587722551136110822248136977732336800240361036344748972618956030679687204474902548077032632394226822254522788090599918369318079287402209089790121948674471466992498674580242405999928001078045126234059315499598381715676654474736389829597372965408569065837784478789756287190029507184437422908253589062225953778124715649412591357236683254770720276007728074456156904620887282613119758315674717524901007087024563514513792946294840301176952750681906586654613064858091225597964723576630056017206290956273121934144980974319241930549844152103720602900751915025950463177681314597523341897954415027730744031595629145284034883764007850808142891023798325666366305250389013616909568447229552815809318704788288476557678312549389667559579213336925731142017420175401721492011503977481944840332250665256020509154412884049066681765510206927825072382821362592841511387318779688086651386252552661129809022220243827055499626388754376321952119054644998167177746049404237727554837892661305084659118764227827397903162611687296390142413116238660815408771747888480606324218124859243858104169333097177737939308255156632111589478510597289306779049353881100047915798847424205323341801665864821287671942873898906667628830761810156318084}
19373  25783434221999096355154806401958655143911784675121267116572412775308538: {19373,2145963,3533547,5608443,5696155,5953503,6167227,6355951,6465835,6835386,7559203,7619155,7759002,8019327,8390522,8706207,9049323,9079930,9137887,9142986,9392223,9729835,10297027,10496155,10895916,11257147,11675802,11986460,12151651,12595386,12600235,12950971,13149867,13173235,13774447,13958426,14318155,14383752,14424991,14803867,15080635,15120282,15427891,15489067,15698396,15807882,16181721,16204863,17181786,17425738,17803747,18096762,18208387,18868267,19436107,20210635,20607130,21725035,21820447,21914155,21970171,22426280,22596843,23122268,23260076,23926507,24068347,24252762,24531571,24728556,24978236,25052698,25229565,25287067,25771546,25929723,26070042,26164586,26296986,26817235,26911536,27062467,27194203,27711871,28654556,29150971,30129418,30195835,30275478,30411871,31490107,31506235,31550906,31691827,31758091,31909471,32067235,32180682,32530683,32966108,33228680,33543571,34006507,34121155,34203386,34494123,34780402,34866835,35013931,36235002,36780703,36914155,37111898,37169756,37211707,37377980,37382265,37771327,37807482,38189371,38480682,38721567,38771155,39118723,39129992,39426716,39683107,39691947,39874416,39883435,40616282,40935080,40945386,40982763,41728762,41840202,41947807,42216986,42473155,42793498,43211635,43445530,43874463,44021241,44296986,44356424,44634187,44697896,44715427,44761051,44853576,44858718,45515564,45897778,46051965,46111467,46525386,46621387,46947967,46981123,47078155,47094440,47191196,47385003,47860122,47996155,48009043,48028316,48609722,48651331,48655083,48861980,49076443,49122096,49553407,49900977,49996963,50285133,50460273,50689771,50869407,50967786,51815163,51853962,52134636,52350346,52981245,53427391,53665435,54121003,54551666,54640767,55262358,55542956,55571551,55883890,56323880,56417203,56459516,56493786,56513328,57595386,57642187,57857546,57906847,58023260,58028155,58381023,58634376,58691307,58797727,58979371,59294386,59392927,59405925,59408947,59456131,59692411,59758202,60166844,60309980,60540163,60646591,60903836,61165803,61417567,61459387,61780831,62264347,62873803,62902664,62973658,63012603,63019987,63047947,63269035,63364365,63366320,63500762,63577494,63770504,63933087,64398522,64808131,64849618,65173471,65364873,65462907,65504347,65727836,65963673,67060668,67115890,67202876,67291563,67588656,67899387,68611880,69291871,69435164,69442460,69457466,69542527,69627912,69633786,69695587,69906835,70539308,70765497,71287110,71528187,71628765,71704651,71741817,71829183,72371976,72433987,72990187,72990907,73681903,73811947,74019386,74102623,74528427,74868451,75340586,75406682,75424287,75534778,75598922,75922842,76037238,76039584,76309411,76404016,76667035,76693064,76844155,77188365,77803743,77815325,77926723,78015871,78331401,78396447,78846346,79347080,79387930,79635571,79862024,79874427,79958527,80060042,80156636,80468371,80539068,80976931,81185467,81224108,81418473,81448904,81934527,81963235,82334256,82521183,83052442,83182268,83330952,83481482,83720635,83888202,84071635,84275967,84623563,84648667,84778351,84852537,84937330,85037923,85158152,85368860,85406925,85537123,85544532,85649155,85732347,85767643,85954518,86279697,86313387,86699035,86998322,87005480,87202442,87284851,88051323,88258330,88340223,88552988,88677667,88968835,89041627,89167676,89265465,89317435,89423804,89724453,89843011,89844777,90668587,90712627,91100720,91579435,91630017,91760203,92000442,92192287,92212986,92318204,92362143,92626038,92712826,92881567,93378390,93411307,93747321,94174207,94357227,94925307,95216496,95219155,95265516,95525786,95802921,96145196,96252607,96341727,96652351,96943471,97118635,97142396,97209308,97752747,97881165,98315643,98355882,98596767,98833267,99603616,...,1182964523418637960955331151022756168632132118301883561301604811483225897664072164963413704923675784627673546168858562125060861188619355486350113629476997822872622287523945144064965179382487511982018300140545259505520147204438899254701463855832304250925416186765535559111640845791588129914511512943029392073758058995179324991076409097098068346515459387876554401145371128217551817445733228140986438443716276578104185553752479510403732838484435343484321433134075233421633805528071137224007166098324556117993591545854412694073926945156319409373516153889231617403233207146306112328327490665369936965098231605321017593784926280109147913416754391523187295940903329800702174875375406195564322557200023539544559097100315551160945851366770366542089423983450432739426611864832511715029535980197453921196627245727017254705173558368074074637534220408765276987043087553408586377690501605701465900999216550089696035680785166734653254828582934330619592272579464724740319107442772951158795907312958413187604385004341001548541370447633561828641209962878891982266361999892918708452820061921505569995994548086749076993133279519832640764198492501435514028179977805921407267534481205889994388541770330668044047537490948764686892545952165072906056236318943891348988664363691968106643367116938721561373730443599830572258141474807084889876266366139336005886870081028154996650965356538669130606280732279672106817448723409978996498972759929347783149955600697484548084805381843549106186385507528585166012044876319560132662856853517600932341666672420199881320832702628991074104377240488101364293845160550229772546802151370814592137812723635398394312865922647069999551888226120363448988189127264515956695274786771185378400353296011817861454625081260448258339487306024511097347086775712069644252409845047208930532230336530779530907150187252284771769076100195986305517546905647094831704632167363868069080700716881583826704166233372205466598505200360541554517123458928434046019530806712353822115548948591340233381784182135899877553977118931103313634685182923011707200488748011870363608999892001617067689351088973249397572573514981712104584744396059448112853598756676718184634430785044260776656134362380383593338930667187073474118887035855024882156080414011592111684235356931330923919679637473512076287351510630536845271770689419442260451765429126022859879981919597287136838396947085364945084025809436434409682901217471461478862895824766228155580904351127872538925694766521971896285012846931622541596116047393443717926052325646011776212214336535697488499549457875583520425364352670844329223713978057182432714836517468824084501339368820005388596713026130263102582238017255966222917260498375997884030763731619326073600022648265310391737608574232043889262267080978169532129977079378828991694713533330365740583249439583131564482928178581967497250766619074106356591332256838991957626988678146341741096854743917530944585213619674357991223113157621832720909486327187288865787156253999645766606908962382734948167384217765895933960168574030821650071873698271136307985012702498797231931507914310848360001443246142715234477126}
19374  25885079879443545379102589314795196534488713429391042157440094868275825: {792653,1408973,1946573,2047814,2061569,2635469,2740742,2861284,3131393,3201974,3207569,3663953,3701933,4043393,4352534,4459853,4711396,5590733,6415469,7087373,7327142,7477924,7608173,7938004,8645069,8718893,8755793,8918774,9113848,9598742,10253079,10345336,10692436,10736513,10845869,11027969,11180294,11282573,11573069,11608276,11638503,11826833,12044033,12065764,12190648,12369293,12522964,12585773,12585783,12765953,13619895,13651334,13714479,14093069,14527888,14627969,14983075,15232013,15567736,15798413,15869069,16292333,16343874,16793848,17345453,17435942,17450369,17513703,17533156,17973869,17979690,18738413,18893079,18946253,18982214,19178336,19430093,19464593,19622995,19877969,20160376,20393069,20495873,20937639,20974673,21077176,21179393,21397814,21575628,21606484,21689933,22334033,22490054,22680423,22909048,23109869,23445869,23547594,23711823,23948369,24013142,24129016,24447014,24515693,24663734,25772679,26006273,26039213,26138607,26176742,26335313,26532353,26696333,26990993,27145143,27187073,27903569,28032850,28163153,28648493,28874369,28902835,29035469,29075095,29517569,29933933,30129124,30794369,30910695,31222795,31269869,31648973,31995473,32337016,32841869,32971408,33309569,33635942,33639420,33682433,34238743,34267094,34332173,34547969,34572964,34683402,34701869,34760056,34890114,35062648,35560013,35734742,35818195,35882048,35986733,36017153,36379143,36926033,37092834,37403414,37467354,37579047,37819142,37887569,38335469,38543873,38657319,38781569,38811871,38855942,38989133,39105063,39110659,39225869,39246879,39445479,39756653,39874253,39962369,40301414,40367304,40460333,40635533,40897793,41207635,41275469,41420369,41535850,41796173,42228113,42629633,42801233,42907576,42915473,42967142,42981834,43374244,44079053,44392454,44446567,44595494,44613713,44781953,45194127,45201293,45413217,45591053,45951569,45992164,46416374,46420973,46462195,46722475,46998523,47326359,47597969,47733869,48140369,48271023,48313336,48491213,48545069,48625793,48912490,49268993,49283395,49449162,49668653,49843020,50409976,50725613,51168850,51305079,51307576,51413174,51509933,51587969,51628756,51639953,52006742,52170603,52672913,52922596,52993142,53056973,53133569,53165888,53210093,53971373,54352503,54593848,54643684,55039831,55074893,55149569,55445530,55667847,55754634,55786936,55799191,55872370,56066970,56261069,56319974,56432513,56579153,56711223,56871569,56894455,56944493,57235469,57308033,57721023,57885953,58316369,58387853,58499284,58694988,58791569,58868050,58988995,59062648,59098733,59140074,59451473,59568653,59732369,59804768,59811624,59918993,60035395,60081869,60128333,60429569,60614273,60706433,60890369,60924423,61077475,61402620,61418079,61481956,61507373,61643693,62033848,62593143,62746193,62760303,62991053,63180004,63257069,63325479,63741773,63813496,64190247,64200833,64309613,64526573,64634753,64785869,64873444,65168295,65429069,65496128,65790353,66050774,66128273,66422273,66424742,66445479,66534636,66756353,66853514,67005569,67046844,67106431,67171073,67280364,67288077,67418369,67562093,67825876,67868753,67957048,67990913,68173613,68273346,68335469,68396033,68476673,68537069,68841494,68846667,68877953,69086884,69138616,69176813,69428695,69512848,69788079,69788753,69879271,70082093,70121069,70257233,70404850,70574395,70641660,70644113,70683974,70786794,71267791,71275469,71332433,71408273,71559569,71616173,71747969,71790183,71965142,72042474,72345473,72529075,72622733,72854356,72914583,73280813,73292970,73407569,73677869,73683144,73783142,73982033,74513383,74618513,74793473,75208555,75325048,75351104,75387475,75519569,75809453,75826433,75945734,76063313,76129795,76315373,76451679,76793848,77321873,77548673,77564813,77732054,77780943,77805953,77841364,77885933,78179168,78201954,78255076,78267053,78525519,78596753,78628330,78783569,78892013,79123073,79199693,79207900,79473869,79535962,79670273,79680374,79713130,79895213,80032742,80295569,80515469,80559233,80588369,81207053,81261494,81554404,81657869,81699713,81755393,81827499,82004369,82159795,82168913,82440593,82615469,82657142,82815569,82855373,82893537,83171213,83314434,83366273,83559533,83814413,83825835,84003473,84003595,84016013,84016804,84485820,84632813,84681293,84689274,84740679,84769992,84933713,84949202,85111853,85135469,85244116,85276493,85288193,85451153,85592294,85641127,85658369,85692653,85763654,85764850,85829069,85862993,85864696,85908113,85975553,86165069,86393079,86406893,86526353,86601869,86623373,86762369,86786319,86793955,86803075,87034890,87153164,87253613,87283876,87469334,87537869,87707393,87717293,87951564,88174135,88287233,88296653,88575533,88757453,88838273,88941579,88953869,88997969,89085569,89232653,89258369,89318093,89368973,89414224,89444753,89637303,89660033,89722084,89781773,89957069,90000854,90051053,90097613,90113069,90118208,90250266,90335942,90363473,90464970,90532516,90561869,90583553,90669569,90740369,90775469,90824273,90865793,91168013,91171142,91277969,91322573,91355754,91373069,91391873,91504214,91509293,91752833,91877969,91889153,91961069,92147969,92459693,92478413,92492369,92515469,92529233,92743853,92789393,92837216,92845048,92877569,92954369,92980493,93063569,93088723,93155693,93197969,93281453,93325814,93420653,93423233,93496913,93524369,93550673,93581933,93639053,93673133,93674753,93715469,93773453,93789569,93792173,93799553,93827969,93834833,93837869,93983894,94208611,94353996,94460487,94682419,94966694,95049480,95251143,95312791,95366241,95370916,95505020,95655756,95772244,95866330,96495968,96593174,96597783,97274427,98525942,98591754,98846054,99183850,99371236,99511951,99827530,...,1774446785127956941432996726534134252948198177452825341952407217224838846496108247445120557385513676941510319253287843187591291782929033229525170444215496734308933431285917716097447769073731267973027450210817889258280220806658348882052195783748456376388124280148303338667461268687382194871767269414544088110637088492768987486614613645647102519773189081814831601718056692326327726168599842211479657665574414867156278330628719265605599257726653015226482149701112850132450708292106705836010749147486834176990387318781619041110890417734479114060274230833847426104849810719459168492491235998054905447647347407981526390677389420163721870125131587284780943911354994701053262313063109293346483835800035309316838645650473326741418777050155549813134135975175649109139917797248767572544303970296180881794940868590525882057760337552111111956301330613147915480564631330112879566535752408552198851498824825134544053521177750101979882242874401495929388408869197087110478661164159426738193860969437619781406577506511502322812055671450342742961814944318337973399542999839378062679230092882258354993991822130123615489699919279748961146297738752153271042269966708882110901301721808834991582812655496002066071306236423147030338818928247609359084354478415837023482996545537952159965050675408082342060595665399745858387212212210627334814399549209004008830305121542232494976448034808003695909421098419508160226173085114968494748459139894021674724933401046226822127208072765323659279578261292877749018067314479340198994285280276401398512500008630299821981249053943486611156565860732152046440767740825344658820203227056221888206719085453097591469298883970604999327832339180545173482283690896773935042912180156778067600529944017726792181937621890672387509230959036766646020630163568104466378614767570813395798345504796169296360725280878427157653614150293979458276320358470642247556948251045802103621051075322375740056249350058308199897757800540812331775685188392651069029296210068530733173323422887010350072676273203849816330965678396654970452027774384517560800733122017805545413499838002425601534026633459874096358860272472568156877116594089172169280398135015077276951646177566391164984201543570575390008396000780610211178330553782537323234120621017388167526353035396996385879519456210268114431027265945805267907656034129163390677648143689034289819972879395930705257595420628047417626038714154651614524351826207192218294343737149342233371356526691808808388542149782957844427519270397433812394174071090165576889078488469017664318321504803546232749324186813375280638046529006266493835570967085773649072254776203236126752009053230008082895069539195394653873357025883949334375890747563996826046145597428989110400033972397965587606412861348065833893400621467254298194965619068243487542070299995548610874874159374697346724392267872951245876149928611159534886998385258487936440483017219512611645282115876296416877820429511536986834669736432749081364229490780933298680734380999468649910363443574102422251076326648843900940252861046232475107810547406704461977519053748195847897261871466272540002164869214072851715689}
19375  25987123393528540718013599900931529360483583763910694000567931966854692: {38746,3071721,3576605,4111113,4291926,4802961,5889245,6528801,6592553,7067094,7288541,7974617,8448521,9052169,9347405,9922505,10666817,10799321,10990713,11216886,11392310,11907006,12334454,12711902,12931670,13303901,13365545,13378161,13581257,13621769,13670772,14398113,14510345,14694617,15082205,15118406,15238310,15305693,15518004,15653705,16038654,16770441,16781044,17242937,17412414,17640329,18098646,18159860,18275774,18285972,18305261,18442529,18784446,19096601,19459670,20045417,20477001,20557889,20594054,20718557,20992310,21112889,21791832,21916445,22298861,22514294,23351604,23972920,24303302,24515811,24554897,25190772,25200470,25728233,25787801,25901942,26153913,26299734,26346470,26423069,26874089,26969535,27008105,27548894,27916852,28276781,28294889,28473321,28636310,28767504,28849982,29607734,30161270,30240564,30393521,30415049,30679817,30855782,30978134,31396792,31615764,31912793,32096721,32363442,32409726,32580497,32750393,33170489,33735081,34363572,34851476,35019041,35321391,35494337,35607494,35665361,35668397,36019713,36193524,36416774,36670521,36995601,37215581,37544129,37661405,37711193,37736534,38193353,38872214,39133217,39265113,40421270,40800941,41214260,41519729,42049275,42274169,42419873,43216205,43450070,43640894,43828310,43940342,44108729,44140697,44638841,44852560,44894129,45132893,45193686,45414497,45600881,46244536,46520152,46952873,47769617,47853014,48136694,48201773,48505524,48813569,48895601,49063142,49304369,49457112,49574681,49956472,50027057,50105396,50453913,50459130,50574134,50614409,51400641,51543092,51679817,51859446,52025103,52140084,52329172,52335171,52593972,52926449,53602113,53634470,53823072,54124934,54147437,54217805,54279617,54375017,54388406,55238489,55423742,55483961,55639251,55836809,56105121,56201031,56294057,56728713,57309112,57490205,58158089,58283913,58301942,59399153,59462417,59906093,60258836,60391670,60452121,60454001,60496289,60550956,60808157,60823742,61423961,62303775,62980214,63012470,63054521,63101812,63383654,63386957,63516182,63809129,63818942,64134470,64361364,64450713,64472751,64535945,65061366,65592593,65909417,65932216,66153245,66457360,66588681,66893241,67087142,67194617,67366193,68013014,68242310,68304605,68406772,68699681,68988246,69560804,69624561,69702893,69733670,70027862,70191641,70270721,70783577,71471537,71888669,72432617,72470004,72633821,73124105,73368735,73561406,73828310,74173743,74223796,74339512,74423414,74474381,74755960,74764530,75131609,75542654,75614964,76091297,76135529,76378742,76505549,76753275,76852445,76961364,77023193,77119761,77423417,77443134,77542310,78010113,78023993,78237446,78259984,78853432,78975005,79366214,79383894,79489713,79748832,79766870,81091805,81212513,81232564,81239417,81572129,81870160,81890393,81890772,81965526,83168295,83457524,83520233,83631951,83680404,83808555,83895614,84100455,84433972,84479961,84782345,84946310,85586996,86261981,86358605,86423270,86891060,87232301,87674129,87748926,87933809,88042482,88302075,88576649,88593972,88710111,88712848,89268374,89395792,89430854,89522102,89663657,89707152,89717436,89852429,90272489,90678041,91031128,91067945,91510409,91795556,92103930,92222934,92891273,93050772,93096329,93242774,93385121,93895934,93962246,94156310,94188880,94382392,94496441,94770006,95720244,95946461,95992310,96018086,96056632,96921593,97219444,97301705,97302662,97310166,97366553,97553657,97723960,97818845,97869569,98152886,98244192,98458937,99009875,99076161,99106814,99427169,99637113,99674273,99801954,99993926,...,2365929046837275921910662302045512337264264236603767122603209622966451795328144329926827409847351569255347092337717124250121722377238710972700227258953995645745244575047890288129930358764975023964036600281090519011040294408877798509402927711664608501850832373531071118223281691583176259829023025886058784147516117990358649982152818194196136693030918775753108802290742256435103634891466456281972876887432553156208371107504959020807465676968870686968642866268150466843267611056142274448014332196649112235987183091708825388147853890312638818747032307778463234806466414292612224656654981330739873930196463210642035187569852560218295826833508783046374591881806659601404349750750812391128645114400047079089118194200631102321891702733540733084178847966900865478853223729665023430059071960394907842393254491454034509410347116736148149275068440817530553974086175106817172755381003211402931801998433100179392071361570333469306509657165868661239184545158929449480638214885545902317591814625916826375208770008682003097082740895267123657282419925757783964532723999785837416905640123843011139991989096173498153986266559039665281528396985002871028056359955611842814535068962411779988777083540661336088095074981897529373785091904330145812112472637887782697977328727383936213286734233877443122747460887199661144516282949614169779752532732278672011773740162056309993301930713077338261212561464559344213634897446819957992997945519858695566299911201394969096169610763687098212372771015057170332024089752639120265325713707035201864683333344840399762641665405257982148208754480976202728587690321100459545093604302741629184275625447270796788625731845294139999103776452240726897976378254529031913390549573542370756800706592023635722909250162520896516678974612049022194694173551424139288504819690094417861064460673061559061814300374504569543538152200391972611035093811294189663409264334727736138161401433763167653408332466744410933197010400721083109034246917856868092039061613424707644231097897182680466763568364271799755107954237862206627269370365846023414400977496023740727217999784003234135378702177946498795145147029963424209169488792118896225707197513353436369268861570088521553312268724760767186677861334374146948237774071710049764312160828023184223368470713862661847839359274947024152574703021261073690543541378838884520903530858252045719759963839194574273676793894170729890168051618872868819365802434942922957725791649532456311161808702255745077851389533043943792570025693863245083192232094786887435852104651292023552424428673071394976999098915751167040850728705341688658447427956114364865429673034937648169002678737640010777193426052260526205164476034511932445834520996751995768061527463238652147200045296530620783475217148464087778524534161956339064259954158757657983389427066660731481166498879166263128965856357163934994501533238148212713182664513677983915253977356292683482193709487835061889170427239348715982446226315243665441818972654374577731574312507999291533213817924765469896334768435531791867920337148061643300143747396542272615970025404997594463863015828621696720002886492285430468954252}
19376  26089566310401957019600097163395209455156697665775524114906795148944277: {58119,831319,1293703,1585306,1985119,2100103,2444623,2673943,2817946,3017383,3131719,3702319,3893146,4095628,4123138,5270938,5481484,5722568,5854183,6262786,6403948,6415138,6437889,6976303,7327906,7403866,7534663,8086786,8645983,8705068,8756719,8919706,9422792,10600641,11181466,11610583,12830938,13772743,14174746,14654284,14955848,15216346,15269119,15800119,15876008,15906103,16329319,16825329,16961983,17088465,17277343,17290138,17437786,17511586,17837548,17860509,18227696,18323863,18501681,18532303,19067853,19197484,19397505,19466719,19570183,19880143,20498119,20506158,20690672,20976305,21011119,21384872,21473026,21691738,22055938,22360588,22565146,22640623,22677609,22699825,22857465,23146063,23146138,23216552,23277006,23653666,23951023,24057981,24088066,24131528,24381296,24738586,25045928,25149823,25171546,25171566,25531906,25943263,26042119,26118621,27147969,27239790,27302668,27413661,27428958,27472193,27614023,28176669,28186138,28877623,29055776,29189505,29255938,29456719,29552983,29937319,29966150,30464026,30891081,30893119,31135472,31273423,31488465,31596826,31738138,32584666,32687748,32689303,32876863,33587696,33717319,33771441,34551943,34644319,34690906,34736623,34871884,34896065,34900738,35013103,35027406,35066312,35947738,35959380,36021319,36454953,36839743,37476826,37786158,37800705,37892506,37964428,38356672,38369743,38815783,38852913,38860186,38929186,39245990,39449601,39519705,39755938,39967063,40320752,40463969,40494319,40581943,40705133,40786138,40991746,41323341,41801119,41875278,41949346,42154352,42358786,42795628,42954465,43151256,43212968,43274973,43379866,43564345,43711913,43858303,44281663,44411601,44668066,44703223,44787319,44980108,45241905,45290383,45360846,45818096,46219738,46283673,46454119,46467201,46891738,47095188,47194783,47423646,47896738,48026284,48258032,48545163,48614589,48894028,49031386,49327468,49621543,50145473,50574103,51517825,51545358,51594343,52012546,52078426,52277214,52353484,52527761,52670626,53064706,53140183,53216719,53293183,53392666,53411241,53598319,53981986,54290286,54374146,54625161,55031983,55106719,55181383,55543709,55553623,55776103,55807138,56065700,56292703,56326306,56604801,57242743,57296986,57315319,57690689,57748738,57805670,57965263,58070938,58108903,58150190,58308321,58323823,58395319,58822783,59035138,59106319,59867866,60258248,60631905,61538119,61588738,61810423,61821390,62149183,62445590,62539738,62620423,62631745,63287503,63297946,63486223,63990946,64428865,64674032,65047073,65175105,65411465,65461341,65501719,65683738,65742465,65910513,65942816,66389263,66619138,67014583,67271884,67278840,67364866,67448023,67790529,67939063,68364943,68477486,68534188,68606719,68664346,68996753,69095938,69145928,69206119,69366804,69403738,69520112,69780228,69798319,70091719,70125296,71120026,71469484,71474983,71588383,71636390,71757943,71764096,71779521,71973466,72034306,72205041,72758286,73526263,73594713,73852066,73956823,74010319,74185668,74806828,74934708,75013063,75158094,75323545,75581719,75638284,75688695,75775138,75837319,75861201,76343119,76670938,76891183,77087746,77314638,77527663,77563138,77576119,77623742,77711884,77789169,77817319,77865343,77978266,78210126,78221318,78294319,78341623,78451738,78493758,78577063,78877265,78890958,79042543,79513306,79652237,79748506,79924738,80451705,80527543,80602828,80734608,80745703,80832463,80920666,81187401,81271066,81582609,81684223,81795586,81809503,81892663,82222423,82415270,82550938,82584593,82668319,82828303,82840738,82868119,83026663,83071700,83135613,83495383,83592346,83991463,84029119,84049553,84179023,84438583,84456226,84548743,84767119,84803263,85259266,85301719,85476319,85508465,85602466,85649119,85683463,85815152,85830946,85934284,85963668,86453503,86615863,86748488,86951005,87452913,87731719,87761383,88158106,88311319,88479583,88699903,88784908,88893134,89021743,89190988,89227426,89230543,89282023,89563906,89853343,89901223,90136303,90251143,90388254,90402586,90563119,90584863,90587505,90777319,90826434,90984319,91182106,91203703,91235613,91300543,91580263,91826719,91903138,91911319,91977703,91984328,92010463,92169943,92246983,92366503,92537143,92723119,92773663,92779745,92832748,92841946,92859343,92906719,92918383,92924390,92952943,93031063,93176719,93272119,93393583,93441319,93444950,93515119,93522103,93549319,93618223,93688423,93693319,93734143,93776119,93837463,93855319,93857263,93997046,94470321,94518705,94652718,95075481,95195938,95274273,95467738,95728413,96201705,96280738,96542046,96626672,96982426,97090138,97200173,97251586,97592049,97824980,98537986,98566790,98804153,98898324,99337306,99686040,...,3548893570255913882865993453068268505896396354905650683904814434449677692992216494890241114771027353883020638506575686375182583565858066459050340888430993468617866862571835432194895538147462535946054900421635778516560441613316697764104391567496912752776248560296606677334922537374764389743534538829088176221274176985537974973229227291294205039546378163629663203436113384652655452337199684422959315331148829734312556661257438531211198515453306030452964299402225700264901416584213411672021498294973668353980774637563238082221780835468958228120548461667694852209699621438918336984982471996109810895294694815963052781354778840327443740250263174569561887822709989402106524626126218586692967671600070618633677291300946653482837554100311099626268271950351298218279835594497535145088607940592361763589881737181051764115520675104222223912602661226295830961129262660225759133071504817104397702997649650269088107042355500203959764485748802991858776817738394174220957322328318853476387721938875239562813155013023004645624111342900685485923629888636675946799085999678756125358460185764516709987983644260247230979399838559497922292595477504306542084539933417764221802603443617669983165625310992004132142612472846294060677637856495218718168708956831674046965993091075904319930101350816164684121191330799491716774424424421254669628799098418008017660610243084464989952896069616007391818842196839016320452346170229936989496918279788043349449866802092453644254416145530647318559156522585755498036134628958680397988570560552802797025000017260599643962498107886973222313131721464304092881535481650689317640406454112443776413438170906195182938597767941209998655664678361090346964567381793547870085824360313556135201059888035453584363875243781344775018461918073533292041260327136208932757229535141626791596691009592338592721450561756854315307228300587958916552640716941284495113896502091604207242102150644751480112498700116616399795515601081624663551370376785302138058592420137061466346646845774020700145352546407699632661931356793309940904055548769035121601466244035611090826999676004851203068053266919748192717720544945136313754233188178344338560796270030154553903292355132782329968403087141150780016792001561220422356661107565074646468241242034776335052706070793992771759038912420536228862054531891610535815312068258326781355296287378068579639945758791861410515190841256094835252077428309303229048703652414384436588687474298684466742713053383617616777084299565915688855038540794867624788348142180331153778156976938035328636643009607092465498648373626750561276093058012532987671141934171547298144509552406472253504018106460016165790139078390789307746714051767898668751781495127993652092291194857978220800067944795931175212825722696131667786801242934508596389931238136486975084140599991097221749748318749394693448784535745902491752299857222319069773996770516975872880966034439025223290564231752592833755640859023073973669339472865498162728458981561866597361468761998937299820726887148204844502152653297687801880505722092464950215621094813408923955038107496391695794523742932545080004329738428145703431378}
19377  26192410182177337609779106035347271839684010626777795930637157182348550: {77492,2377959,4226919,5007247,5119535,5839719,6143442,6184707,6851855,7153210,7791199,7906407,8004935,8222226,8244943,8583852,9394179,9605922,9622707,9987923,10881335,10991859,11105799,11778490,12130179,13057602,13086367,13185106,13379559,13465343,13891507,14134188,14577082,15949234,16247279,16772199,16897042,18104338,18317855,18694810,18711763,19246407,19358903,19845010,20314483,21115087,21262119,21333634,21598642,21915187,21981426,22147423,22296935,22433772,22667843,22784620,22824519,23281823,23527919,23814012,23996855,24295687,24668908,25423804,25863340,25935207,26156679,26267379,26307263,26607802,26731090,26756322,27162514,27243538,27341544,27950735,28796226,29020690,29389234,30164410,30236812,30476620,30611386,30683023,30759237,31036008,31307410,31760287,32077308,32209539,32537607,33003479,33067703,33083907,33540882,33562088,33847719,34128335,34485874,34719207,34824828,34915509,35280658,35480499,36132099,36197292,36319720,36551548,36571944,36610522,36885058,37107879,37169903,37568892,37715119,37757319,37757349,37811347,38193202,38297859,38919340,39201487,39864679,40090834,40859685,40954002,41115778,41143437,41188108,41437114,41984620,42225778,42279207,43583664,43589855,43614799,43832890,43883907,44597722,44949225,45028588,45137599,45696039,46404403,46703208,47184883,47395239,47455535,47607207,47777767,47790083,47945840,48606604,48661463,48876999,49031622,49109794,49707479,50381544,50400940,50553079,50757379,51456466,51575602,51803884,52036359,52040167,52307826,52351107,52541109,52599468,52692940,52725967,52846138,53494535,53748178,53921607,53939070,54016210,55097788,55104883,55489759,55508227,55833704,56215239,56225135,56553562,56589778,56679237,56838759,56946642,57272620,57535008,57699964,57881743,58290279,58367783,58393779,58868985,59215468,59633907,60032855,60322540,60481128,60502687,60787042,60830098,61117535,61179207,61359634,61472279,61487619,61659335,61711564,61956268,62793584,62812917,62924019,63231528,63538179,63825586,64176887,64193442,64267283,64726884,64819452,65001823,65069799,65160994,65441855,65500786,66340978,67002099,67040579,67470162,68041269,68727144,68732287,69329607,69702952,70038082,70082125,70198999,70337607,70642782,70988674,71135469,71214988,71330722,71336794,71845107,72039426,72387048,72833548,73312207,73341042,73547079,73827479,73991202,74431162,75088258,75322810,75422386,75473068,75665203,75904927,76321199,76325303,76386706,77318037,77518519,77558623,77688623,77744428,78018819,78117639,78266434,78415821,78530226,78670663,79005939,79597059,80088999,80237527,80486287,80842540,80972979,81435429,81561219,81601882,82428520,82762963,83039458,83710707,84089855,84098550,84183059,84489459,84548338,84839746,85174099,85667735,85945479,86432410,86623107,86708505,86800367,86900140,87106407,87225285,87281788,87326723,87656620,87880684,88217458,88281394,88552707,89277682,89336855,89705120,89788258,89801799,90265786,90281887,90350323,90387372,90828994,91140383,91201762,92383107,92489072,92614543,92703103,92732085,92893583,93040304,93431063,93508535,93668385,93809607,93905746,94088167,94547855,94946919,95539234,95626447,95706028,95986419,96273388,96403546,96931699,97011048,97084163,97139855,97627138,97791202,98126284,98278963,98525607,98608738,98914224,99149362,99912944,99928707,...,5323340355383870824298990179602402758844594532358476025857221651674516539488324742335361672156541030824530957759863529562773875348787099688575511332646490202926800293857753148292343307221193803919082350632453667774840662419975046646156587351245369129164372840444910016002383806062146584615301808243632264331911265478306962459843840936941307559319567245444494805154170076978983178505799526634438972996723244601468834991886157796816797773179959045679446449103338550397352124876320117508032247442460502530971161956344857123332671253203437342180822692501542278314549432158377505477473707994164716342942042223944579172032168260491165610375394761854342831734064984103159786939189327880039451507400105927950515936951419980224256331150466649439402407925526947327419753391746302717632911910888542645384822605771577646173281012656333335868903991839443746441693893990338638699607257225656596554496474475403632160563533250305939646728623204487788165226607591261331435983492478280214581582908312859344219732519534506968436167014351028228885444832955013920198628999518134188037690278646775064981975466390370846469099757839246883438893216256459813126809900126646332703905165426504974748437966488006198213918709269441091016456784742828077253063435247511070448989636613856479895152026224247026181786996199237575161636636631882004443198647627012026490915364626697484929344104424011087728263295258524480678519255344905484245377419682065024174800203138680466381624218295970977838734783878633247054201943438020596982855840829204195537500025890899465943747161830459833469697582196456139322303222476033976460609681168665664620157256359292774407896651911814997983497017541635520446851072690321805128736540470334202801589832053180376545812865672017162527692877110299938061890490704313399135844302712440187395036514388507889082175842635281472960842450881938374828961075411926742670844753137406310863153225967127220168748050174924599693273401622436995327055565177953207087888630205592199519970268661031050218028819611549448992897035189964911356083323153552682402199366053416636240499514007276804602079900379622289076580817417704470631349782267516507841194405045231830854938532699173494952604630711726170025188002341830633534991661347611969702361863052164502579059106190989157638558368630804343293081797837415803722968102387490172032944431067102869459918638187792115772786261884142252878116142463954843573055478621576654883031211448026700114069580075426425165626449348873533282557811192301437182522213270496730667235465407052992954964514410638698247972560440125841914139587018799481506712901257320947216764328609708380256027159690024248685208617586183961620071077651848003127672242691990478138436792286967331200101917193896762819238584044197501680201864401762894584896857204730462626210899986645832624622478124092040173176803618853737628449785833478604660995155775463809321449051658537834935846347628889250633461288534610960504009209298247244092688472342799896042203142998405949731090330722307266753228979946531702820758583138697425323431642220113385932557161244587543691785614398817620006494607642218555147067}
19378  26295656566956747749512497978484848241787693580474756179243519994813716: {96865,116238,1139821,1662638,1716721,2587406,3170612,3208237,3778657,3970238,4200206,4574221,4889246,4914097,5347886,5635892,6034766,6263438,6603757,7404638,7786292,7943821,8166157,8191256,8246276,8720737,8831437,9052621,9215163,9604321,10541876,10729815,10962968,11445136,11708366,12118957,12333339,12335821,12525572,12660577,12807896,12830276,12875778,13952606,14167537,14408883,14655812,14807732,15069326,15554221,15872497,16173572,17291966,17410136,17513438,17667735,17839412,17977777,18845584,19227121,19586403,19777659,19951117,20260321,21201282,21592717,21865623,22305121,22362932,22811821,23221166,23316721,23518177,23819821,23923851,25345563,25661876,25814221,26603917,27156507,27545486,27974797,28042215,28349492,28480775,29308568,29366827,29767515,29911696,30004657,30196321,30387697,30432692,30538238,30836135,31600238,31752016,31779755,31812206,32000451,32329175,32397963,32658638,32972139,33036721,33223777,33317197,33650658,33923966,34176930,34554686,34580276,34875572,35023172,35170477,35675096,35721018,36086317,36455392,36647726,37003362,37064606,37796015,38095775,38135706,38394968,38795010,38933438,39140366,39760286,39911703,40030477,40096635,40118497,40134483,40732621,40743771,40865307,40996238,41012316,41343217,41381344,41430157,41863777,41952610,42022238,42769744,42897121,42946052,43194339,43383476,43495117,43531035,44083851,44111876,44721176,44848717,45130292,45246615,45281246,45355218,45399650,45435121,45689435,45714930,45917079,46292126,46292276,46433104,46554012,46961115,47307332,47745457,47902046,48115962,48152077,48176132,48263056,48556897,48649175,48762592,48854491,49477172,50091856,50299646,50311323,50343092,50343132,51063812,51485135,51652717,51728811,51886526,52084238,52237242,52428877,52480775,52920987,53803739,53959597,54295938,54413197,54479580,54605336,54827322,54857916,54915783,54944386,55228046,55327587,55461517,56285735,56353338,56372276,56569057,57007537,57289803,57755246,58111552,58379010,58511876,58913438,59105966,59161057,59794477,59874638,59932300,60136251,60143857,60491437,60560737,60758255,60928052,60990083,61431003,61459607,61523377,61673667,61727821,61782162,61786238,62067121,62078263,62155671,62270944,62404621,62539117,62546846,62976930,63001175,63193652,63338667,63476276,63933937,64065121,64196017,64521997,64754855,65169332,65375496,65378606,65749335,65753726,65866175,65998321,66124897,66753457,66896583,67175392,67434638,67436557,67542882,68354017,68776621,68872235,69103886,69195697,69288638,69381812,69473246,69492877,69743768,69792130,69801476,69847117,70026206,70054812,70132624,70140337,70836721,71238157,71579437,71590775,71895476,71918760,71974321,72042638,72124955,72365677,72909906,73464397,73547433,73664691,73679486,74019335,74587057,74953652,75317857,75403175,75572316,75601410,75785012,75928856,76085197,76135777,76337377,76487821,76713344,76739486,77139455,77184699,77363403,77445335,77619697,77631566,77705826,77716321,77720372,77858372,78461739,78491980,78760177,78899202,79039410,79269207,79360621,79511876,79724077,79934126,80127457,80349037,80612557,80622267,80641504,80908605,80927938,80988638,81024315,81163886,81410266,81572276,81983492,82098097,82180321,82587121,82646682,83602238,83750556,83898692,84142321,84308704,84717572,84830343,84876721,84884667,85055821,85162417,85419963,85591256,85908930,86092621,86302512,86425936,86491163,86521777,86549946,86651377,86759732,87128690,87220321,87312877,87423826,87435277,87684443,87716606,87825121,88202797,88563326,88823202,88868077,89001457,89018735,89288557,89336132,89406446,89416177,89466721,89574638,89960216,90144097,90200411,90417121,90483810,90580766,90701197,90721692,91041935,91054321,91180563,91245147,91405537,91576051,91636192,91715821,91922317,92039451,92289121,92439476,92567346,92684257,92836321,92908238,92934402,92989357,93119821,93171121,93332077,93456817,93646321,93663277,93674221,93733837,93755617,93775597,93783476,93813217,93837517,93848497,93854221,93866317,93873121,93876721,94190376,94341335,94389566,94847292,95738379,95793476,96052568,96290163,96516064,97090326,97180535,97229178,97741491,97788056,98062772,98251179,98654936,99243086,99511467,...,7097787140511827765731986906136537011792792709811301367809628868899355385984432989780482229542054707766041277013151372750365167131716132918100681776861986937235733725143670864389791076294925071892109800843271557033120883226633395528208783134993825505552497120593213354669845074749528779487069077658176352442548353971075949946458454582588410079092756327259326406872226769305310904674399368845918630662297659468625113322514877062422397030906612060905928598804451400529802833168426823344042996589947336707961549275126476164443561670937916456241096923335389704419399242877836673969964943992219621790589389631926105562709557680654887480500526349139123775645419978804213049252252437173385935343200141237267354582601893306965675108200622199252536543900702596436559671188995070290177215881184723527179763474362103528231041350208444447825205322452591661922258525320451518266143009634208795405995299300538176214084711000407919528971497605983717553635476788348441914644656637706952775443877750479125626310026046009291248222685801370971847259777273351893598171999357512250716920371529033419975967288520494461958799677118995844585190955008613084169079866835528443605206887235339966331250621984008264285224945692588121355275712990437436337417913663348093931986182151808639860202701632329368242382661598983433548848848842509339257598196836016035321220486168929979905792139232014783637684393678032640904692340459873978993836559576086698899733604184907288508832291061294637118313045171510996072269257917360795977141121105605594050000034521199287924996215773946444626263442928608185763070963301378635280812908224887552826876341812390365877195535882419997311329356722180693929134763587095740171648720627112270402119776070907168727750487562689550036923836147066584082520654272417865514459070283253583193382019184677185442901123513708630614456601175917833105281433882568990227793004183208414484204301289502960224997400233232799591031202163249327102740753570604276117184840274122932693293691548041400290705092815399265323862713586619881808111097538070243202932488071222181653999352009702406136106533839496385435441089890272627508466376356688677121592540060309107806584710265564659936806174282301560033584003122440844713322215130149292936482484069552670105412141587985543518077824841072457724109063783221071630624136516653562710592574756137159279891517583722821030381682512189670504154856618606458097407304828768873177374948597368933485426106767235233554168599131831377710077081589735249576696284360662307556313953876070657273286019214184930997296747253501122552186116025065975342283868343094596289019104812944507008036212920032331580278156781578615493428103535797337503562990255987304184582389715956441600135889591862350425651445392263335573602485869017192779862476272973950168281199982194443499496637498789386897569071491804983504599714444638139547993541033951745761932068878050446581128463505185667511281718046147947338678945730996325456917963123733194722937523997874599641453774296409689004305306595375603761011444184929900431242189626817847910076214992783391589047485865090160008659476856291406862756}
19379  26399307028853714810754293532858962898426595226382461160491094287604313: {19379,154984,174357,2493957,3881109,3963265,4755918,5955357,6300309,7044865,7167349,7333869,8021829,8453838,9052149,9395157,9531169,9592597,9732865,10014494,10227157,10239070,10307845,11106957,11206909,11679438,11803909,12286884,12369414,12531541,13177345,13703710,14122189,14224837,14306420,15049501,15233869,15582398,15656965,15812814,16009870,16037845,16440469,16444452,16489886,16762141,17167704,17367781,17397409,17562549,18319765,18509665,18788358,19211844,19245414,19313667,19975846,20015137,20216965,20873029,20928909,21405637,21636421,21762670,21983718,22211598,22299265,22603989,22958401,23091541,23556980,23937649,24260358,25644997,25937949,26020861,26115204,26172734,26270157,26370212,26759118,26789269,26930686,27720517,27783014,27953665,28121557,28268376,28981117,29154164,29160049,29279617,29724349,31215709,31499941,31801923,31898468,32077345,32494558,33177397,33544398,33595597,33722509,33794084,34122241,34831749,35279581,35436865,36208676,36635710,36792157,36958021,36977329,37389620,37423526,37825729,38040865,38492814,38717806,38983069,39131029,39439549,39690020,40628966,41318229,42230174,42524238,42667268,42827437,42966829,43197284,43225345,43594465,43778965,43830374,43962852,44294846,44463397,44593870,44867544,45335686,45569240,45649038,45807357,46375669,46563646,47055838,47371789,47400357,47628024,47718309,47779669,47795077,47993710,48211141,48591374,48666529,48987957,49314637,49337816,50475987,50847608,50885949,51265395,51726680,51832029,51870414,52313358,52534758,52614526,53135581,53215604,53444029,53462180,53512644,53581527,53682565,54137857,54229345,54325028,54386341,54487076,54683088,54971589,55139845,55505043,55596909,55901470,56086237,56380321,56412865,56479189,57203559,57592452,57865345,58041380,58192515,58373869,58400157,58710549,58778468,58997917,59019937,59134165,59144389,59640429,60220165,60247909,60328820,60473624,60559069,60953240,61025797,61222772,61366046,61494357,61518474,61846465,62072016,62379901,62614820,62928865,62928915,63033357,63039649,63520574,63829765,64154616,64419078,64828429,65075214,65234581,65822389,66006958,66077629,66135406,66167814,66430837,66437749,67081764,67124176,67695438,67921869,68032827,68099475,68256670,68388709,68572395,68971748,69313141,69313717,69438189,69438414,69649656,69831018,70239601,70465345,70547917,70561316,70960998,71727109,71853069,72173943,72264198,72394584,72555949,72639440,72649057,73012981,73103096,73139845,73143888,73221044,73770116,74215758,74339806,74892349,74915375,75066541,75090349,75137784,75430238,75449469,75514638,75514698,75622694,76160065,76329157,76333249,76386404,76595718,76707037,77439541,77829789,77838680,78126357,78338737,78355863,78402974,78715189,78992065,79345345,79660417,79729358,80181668,80634061,81211141,81443907,81461665,81589117,81719370,81908004,82231556,82240983,82286874,82376216,82416579,82842069,82874228,83969240,84045997,84366397,84451556,84530007,84558414,85064557,85296541,85564549,86323069,86632869,86727265,86828461,87167328,87179710,87229598,87250657,87251845,87568515,87665780,87681589,87743557,87767814,88370157,88658949,89195444,89811957,89869345,89898450,90057176,90275198,90740929,91149937,91289557,91392078,91618597,91789069,92673243,92679357,92808806,92903269,93115717,93406416,93440941,93692065,93820269,94203589,94369766,94465395,94731265,94790478,94911070,94982689,95065597,95214414,95555534,95580166,95891680,96973717,97150465,97213208,97322926,97322965,97753998,98063244,98067909,98114975,98219588,98630589,99300037,99389845,99414958,...,10646680710767741648597980359204805517689189064716952051714443303349033078976649484670723344313082061649061915519727059125547750697574199377151022665292980405853600587715506296584686614442387607838164701264907335549681324839950093292313174702490738258328745680889820032004767612124293169230603616487264528663822530956613924919687681873882615118639134490888989610308340153957966357011599053268877945993446489202937669983772315593633595546359918091358892898206677100794704249752640235016064494884921005061942323912689714246665342506406874684361645385003084556629098864316755010954947415988329432685884084447889158344064336520982331220750789523708685663468129968206319573878378655760078903014800211855901031873902839960448512662300933298878804815851053894654839506783492605435265823821777085290769645211543155292346562025312666671737807983678887492883387787980677277399214514451313193108992948950807264321127066500611879293457246408975576330453215182522662871966984956560429163165816625718688439465039069013936872334028702056457770889665910027840397257999036268376075380557293550129963950932780741692938199515678493766877786432512919626253619800253292665407810330853009949496875932976012396427837418538882182032913569485656154506126870495022140897979273227712959790304052448494052363573992398475150323273273263764008886397295254024052981830729253394969858688208848022175456526590517048961357038510689810968490754839364130048349600406277360932763248436591941955677469567757266494108403886876041193965711681658408391075000051781798931887494323660919666939395164392912278644606444952067952921219362337331329240314512718585548815793303823629995966994035083271040893702145380643610257473080940668405603179664106360753091625731344034325055385754220599876123780981408626798271688605424880374790073028777015778164351685270562945921684901763876749657922150823853485341689506274812621726306451934254440337496100349849199386546803244873990654111130355906414175777260411184399039940537322062100436057639223098897985794070379929822712166646307105364804398732106833272480999028014553609204159800759244578153161634835408941262699564535033015682388810090463661709877065398346989905209261423452340050376004683661267069983322695223939404723726104329005158118212381978315277116737261608686586163595674831607445936204774980344065888862134205738919837276375584231545572523768284505756232284927909687146110957243153309766062422896053400228139160150852850331252898697747066565115622384602874365044426540993461334470930814105985909929028821277396495945120880251683828279174037598963013425802514641894433528657219416760512054319380048497370417235172367923240142155303696006255344485383980956276873584573934662400203834387793525638477168088395003360403728803525789169793714409460925252421799973291665249244956248184080346353607237707475256899571666957209321990311550927618642898103317075669871692695257778501266922577069221921008018418596494488185376944685599792084406285996811899462180661444614533506457959893063405641517166277394850646863284440226771865114322489175087383571228797635240012989215284437110294134}
19380  26503363138016255699719903413552246050672918576543269394982476163220930: {135611,193730,232476,908651,1178459,1370939,1524779,2062211,2177171,2279642,2521619,2865419,3208571,3322811,3325276,3433442,3779051,3817019,4272011,4574699,4612499,5174812,5592491,5855411,5930459,6341224,6416474,6641819,6977771,7133877,7201379,7557314,7610579,7940476,7981739,8204051,8400412,8721659,8758571,8832371,9148442,9778492,9825539,9828194,10191899,10695772,10849331,11031491,11140691,11271784,11395211,11830619,12069532,12373259,12526876,12680757,13093979,13207514,13237739,13417259,13847291,14632691,14809276,14810651,15021741,15343331,15358605,15555899,15572584,15874211,15887642,15909539,15980171,16227131,16332314,16382512,16403291,16492552,16965659,17140979,17281091,17351099,17441474,17456051,17519157,17560931,17662874,17805371,17883025,18084251,18105242,18430326,18536339,18554121,18605771,19056299,19208642,19263779,19574459,19953299,19987691,20502611,20555565,20605379,20981579,21083752,21186371,21459630,21493019,21925936,22341419,22442891,22645619,22814339,22890272,23218451,23352899,23373597,23416732,23554331,23719221,23822459,23855939,24014805,24237914,24623771,24666678,24671642,24734829,25051144,25155419,25321139,25321154,25552811,25615792,25660552,25751556,26014979,26146739,26344139,26639699,26803619,27522491,27685331,27905212,28182537,28335074,28399451,28755059,28817766,28868121,29311624,29446225,29527571,29615464,29963769,30008051,30040019,30138652,30391139,30423011,30900131,31108442,31375451,31659779,31744994,31817459,32347144,32602859,32644005,32759339,32962765,32975577,33040499,33317397,33414371,33694019,33973019,34436579,34559891,34583932,34652291,34713851,34806131,34820272,35026876,35205179,35335470,35358299,35572331,35678824,35724971,35955554,35999219,36090491,36120899,36390537,36442705,36908699,37691168,37990571,38110139,38438291,38454242,38884211,39002819,39091691,39172806,39259101,39555318,39770651,39858899,39873085,39902234,39976451,40035179,40138677,40396029,40520642,40649891,40737419,40999571,41290091,41608739,41674521,41868731,42242605,42402564,42902219,42930779,43016411,43170589,43185434,43528691,43731246,43868771,43925339,44094851,44491657,44610242,44713931,44725864,44854091,44882099,45133811,45260845,45301259,45440579,45468419,45623642,45718619,46106531,46442332,46633442,46685459,46737025,46877651,47036354,47124179,47260859,47615291,47639642,47832731,47847702,48157931,48508931,48643571,48724259,48741837,49126619,49287059,49393859,49612525,49686899,49952459,50190779,50316597,50691126,51294371,51323752,51607091,51628442,51659099,52461131,52914421,53153411,53207834,53229971,53306459,53334085,53357411,53662451,53991611,53996605,54193499,54313014,54420011,54953565,55045811,55090972,55095659,55170371,55468499,55567619,55949594,56084430,56135289,56282411,56453939,56600651,56698984,56722691,56893211,56961550,56966171,57184619,57329891,57739221,57980051,58027979,58076709,58123739,58243259,58410251,58481699,58617136,58733654,58743059,58956179,59168651,59450939,59535030,59823392,59825531,60009314,60392642,60453011,60591659,60706979,60775394,60865384,60943449,61076476,61143371,61394699,61554131,61599611,61672270,61735859,61758539,62075219,62097779,62345411,62547299,62569691,62770859,63082499,63200476,63237731,63345261,63504032,63559510,63586237,63624412,63786357,63964259,63965209,64000902,64095419,64204499,64226291,64400339,64552211,64658350,64725299,64795926,64811651,65134331,65317276,65369819,65519171,65745561,65880251,65944278,66073442,66154811,66344099,66442269,66447554,66448979,66511811,66519505,66634394,66783251,66827725,66887291,66890805,67094771,67301316,67466219,67650971,67814651,67847932,67906285,67957451,68003529,68108845,68201339,68353860,68383499,68423891,68473557,68484419,68565011,68625371,68690149,69109372,69160552,69225011,69502379,69581339,69751144,69845469,69856691,69876299,70046344,70149971,70286219,70340954,70576859,70583757,70731131,71133659,71248019,71267051,71350192,71362091,71442036,71494811,71608259,71646011,71834291,71990565,72003059,72079189,72172634,72264299,72449939,72551725,72616331,72634081,72708491,72818819,72887061,72910784,73295452,73473085,73977731,74006724,74013419,74066891,74129212,74386211,74597651,74702939,74825411,75034451,75069179,75328619,75411025,75592030,75603371,75637571,75910019,76146731,76163579,76191550,76271412,76348379,76365131,76398611,76515539,76528465,76789936,76946411,77012219,77094299,77355611,77582579,77590020,77631011,77647139,77727659,77805621,77840051,77866876,77888099,77920091,77983979,78063659,78268525,78280732,78470037,78631451,78800029,78802137,78864971,78921789,78973331,79096691,79204211,79280771,79387619,79520572,79554731,79705811,79823406,79826099,80060954,80139419,80193270,80236994,80268966,80595491,80668331,80769971,80928899,81101171,81158339,81229619,81371579,81456371,81465242,81487542,81695051,81730614,81736931,81834371,81862139,81917579,81992476,82024632,82206539,82247531,82315691,82518971,82653491,82686434,82693691,82762688,82860314,82893611,82933379,83052251,83209739,83248931,83521259,83547011,83598419,83662499,83727554,83852205,83905220,84042779,84044476,84167939,84230219,84341819,84575291,84709139,84902099,85009739,85061557,85152251,85317059,85422179,85491899,85539488,85561331,85699331,85733651,85779299,85794242,85892104,85904171,85938059,86016851,86151011,86214685,86372051,86388678,86437739,86481371,86503139,86665379,86766952,86963411,86990234,87062070,87078779,87203531,87327131,87337379,87580931,87790259,87878891,88102451,88167702,88201645,88217411,88223752,88226939,88331219,88509059,88619891,88702259,88909811,88998731,89174171,89277899,89303651,89312219,89354939,89414411,89442352,89490299,89540531,89697434,89730419,89860019,89900099,89932019,89947931,90027011,90167339,90260584,90297491,90432779,90493230,90521531,90562492,90609131,90630851,90656797,90710436,90799300,90809051,90823091,90870242,91077059,91235939,91268459,91307219,91345691,91371179,91378870,91429860,91440611,91526305,91576571,91702739,91732259,91738139,91767419,91834158,91859771,91927691,91944491,91955651,91994459,92049069,92108531,92172131,92198291,92212645,92277711,92290811,92311019,92341091,92510771,92529539,92543531,92580491,92584252,92584552,92666219,92705819,92727539,92766131,92795699,92808251,92853659,92866208,92894099,92902091,92941571,92995499,93018131,93066179,93073451,93108024,93140939,93188819,93218771,93260891,93307811,93349979,93435059,93477491,93485219,93497939,93507971,93537299,93558539,93579131,93585851,93590291,93612011,93643091,93655019,93658931,93676139,93692699,93694499,93725531,93728819,93752459,93758459,93774299,93775691,93794339,93819371,93829019,93833099,93849011,93851579,93858851,93867539,93875651,93876779,93890171,93892619,93895259,93922230,94614664,95280861,95483005,95490914,95804092,96231924,96304154,96352264,96421129,96526112,96628617,97113794,97298350,97525184,97612821,97708982,98954344,99010437,99203109,99251721,...,15970021066151612472896970538807208276533783597075428077571664955023549618464974227006085016469623092473592873279590588688321626046361299065726533997939470608780400881573259444877029921663581411757247051897361003324521987259925139938469762053736107387493118521334730048007151418186439753845905424730896792995733796434920887379531522810823922677958701736333484415462510230936949535517398579903316918990169733804406504975658473390450393319539877137038339347310015651192056374628960352524096742327381507592913485869034571369998013759610312026542468077504626834943648296475132516432421123982494149028826126671833737516096504781473496831126184285563028495202194952309479360817567983640118354522200317783851547810854259940672768993451399948318207223776580841982259260175238908152898735732665627936154467817314732938519843037969000007606711975518331239325081681971015916098821771676969789663489423426210896481690599750917818940185869613463364495679822773783994307950477434840643744748724938578032659197558603520905308501043053084686656334498865041760595886998554402564113070835940325194945926399171112539407299273517740650316679648769379439380429700379938998111715496279514924245313899464018594641756127808323273049370354228484231759190305742533211346968909841569439685456078672741078545360988597712725484909909895646013329595942881036079472746093880092454788032313272033263184789885775573442035557766034716452736132259046195072524400609416041399144872654887912933516204351635899741162605830314061790948567522487612586612500077672698397831241485491379500409092746589368417966909667428101929381829043505996993860471769077878323223689955735444993950491052624906561340553218070965415386209621411002608404769496159541129637438597016051487583078631330899814185671472112940197407532908137320562185109543165523667246527527905844418882527352645815124486883226235780228012534259412218932589459677901381660506244150524773799079820204867310985981166695533859621263665890616776598559910805983093150654086458834648346978691105569894734068249969460658047206598098160249908721498542021830413806239701138866867229742452253113411894049346802549523523583215135695492564815598097520484857813892135178510075564007025491900604974984042835909107085589156493507737177318572967472915675105892413029879245393512247411168904307162470516098833293201308608379755914563376347318358785652426758634348427391864530719166435864729964649093634344080100342208740226279275496879348046620599847673433576904311547566639811490192001706396221158978864893543231916094743917681320377525742418761056398444520138703771962841650292985829125140768081479070072746055625852758551884860213232955544009383016728075971434415310376860901993600305751581690288457715752132592505040605593205288683754690571614191387878632699959937497873867434372276120519530410856561212885349357500435813982985467326391427964347154975613504807539042886667751900383865603832881512027627894741732278065417028399688126609428995217849193270992166921800259686939839595108462275749416092275970294926660340157797671483733762631075356843196452860019483822926655665441201}
19381  26607826470649991856922503356209834391144406339940337698203645065709564: {19381,38758,290595,309968,348714,3419463,4156595,4987914,5150163,5548571,6468515,7762218,7868531,7926530,9511836,9624711,9862811,9925595,10188491,10500515,10652483,11335971,11910714,12223115,12600618,12956339,13369715,13626011,13722663,14089730,14334698,14430983,14667738,14742291,14810003,15086915,15658595,15783623,16043658,16811171,16907676,18104298,18448283,18511595,18565559,18790314,19062338,19185194,19444163,19465730,19809803,19811271,20028988,20454314,20478140,20564291,20615690,21829511,21919751,22213914,22369859,22413818,22452983,23358876,23607818,23831463,24078323,24498471,24541739,24573768,24738828,25063082,25297571,25647671,25913531,26162211,26354690,26494311,26753843,27157863,27290003,27407420,27645489,28244378,28303751,28449674,28612840,28812963,29270915,29404199,30099002,30467738,30707891,31164796,31218971,31313930,31625628,31771283,31922759,32019740,32075690,32189445,32590643,32760611,32880938,32888904,32979772,33180851,33524282,34250411,34335408,34438151,34735562,34794818,34881515,35125098,36356871,36475499,36639530,37000017,37007463,37019330,37227203,37576716,37673315,37689863,37981731,38423688,38490828,38627334,39135131,39209651,39951692,40030274,40433930,41327603,41532683,41746058,41857818,42502611,42811274,43226649,43229915,43272842,43525340,43783595,43967436,44154443,44423196,44598530,44908283,45207978,45916802,46183082,46662663,47113960,47617491,47865959,47875298,48216179,48257243,48520716,49319771,49573991,49611611,50630171,51263483,51289994,51875898,52041722,52230408,52345468,52540314,52547651,52740424,52942931,53003205,53257211,53518236,53578538,53861372,53933331,54392003,55116359,55255691,55441034,55566028,55907330,56173751,56243114,56485091,56536752,56976803,57496763,57666131,57681363,57962234,58052915,58308328,58320098,58559234,58759209,58822151,59026091,59332977,59417831,59448698,59853351,60268619,60515483,60671783,60780963,61032251,61290551,61443143,62290211,62431418,62999882,63603846,63796936,64154690,64778151,64989116,65241383,65422823,65596869,65963459,66354794,66705911,66915363,67088796,67191194,67387211,67445018,67588168,68244482,68435463,68863715,69663498,69724811,69950163,70554531,70559162,70873730,71459463,71662739,71771553,72417352,72455303,72563531,73271420,73584314,73665923,73916042,73954658,74779240,74847052,75155591,75651458,75921083,76036689,76081730,76159283,76345595,76985628,77195783,77435612,77442663,77447603,77966138,78048359,78262058,78509171,78879098,78978011,79000595,79380040,79530515,79811751,80404811,80595563,81011483,81091943,81237851,81257932,81469521,81597611,81646595,81916211,82636458,82780199,82787831,82855091,82905443,83367419,83374811,83546291,83924391,84126645,84308231,84460348,84809915,85048476,85334536,85442325,85654874,85933658,85943339,86386715,86394568,86450690,86585051,87188930,87555059,87557930,87660748,87701483,87925704,88100411,88100481,88481831,88589692,88715003,88926794,89187740,89302545,89361671,89735088,89880683,90013971,90588963,90653771,90671372,91138480,91163091,91298076,91614714,91619315,91798691,92508405,92661515,92751338,93097271,93125411,93127292,94111676,94743578,94800714,95075651,95256048,95339265,95436618,95559338,95590154,95976803,95987420,96001353,96422282,96987525,97182748,97193889,97333058,97333595,97360283,97396931,97850915,97975914,98629274,98651483,98675632,98866571,98916417,99110163,99310391,99400715,99671331,99705371,99951591,...,21293361421535483297195960718409611035378378129433904103428886606698066157953298969341446688626164123298123831039454118251095501395148398754302045330585960811707201175431012593169373228884775215676329402529814671099362649679900186584626349404981476516657491361779640064009535224248586338461207232974529057327645061913227849839375363747765230237278268981777979220616680307915932714023198106537755891986892978405875339967544631187267191092719836182717785796413354201589408499505280470032128989769842010123884647825379428493330685012813749368723290770006169113258197728633510021909894831976658865371768168895778316688128673041964662441501579047417371326936259936412639147756757311520157806029600423711802063747805679920897025324601866597757609631702107789309679013566985210870531647643554170581539290423086310584693124050625333343475615967357774985766775575961354554798429028902626386217985897901614528642254133001223758586914492817951152660906430365045325743933969913120858326331633251437376878930078138027873744668057404112915541779331820055680794515998072536752150761114587100259927901865561483385876399031356987533755572865025839252507239600506585330815620661706019898993751865952024792855674837077764364065827138971312309012253740990044281795958546455425919580608104896988104727147984796950300646546546527528017772794590508048105963661458506789939717376417696044350913053181034097922714077021379621936981509678728260096699200812554721865526496873183883911354939135514532988216807773752082387931423363316816782150000103563597863774988647321839333878790328785824557289212889904135905842438724674662658480629025437171097631586607647259991933988070166542081787404290761287220514946161881336811206359328212721506183251462688068650110771508441199752247561962817253596543377210849760749580146057554031556328703370541125891843369803527753499315844301647706970683379012549625243452612903868508880674992200699698398773093606489747981308222260711812828351554520822368798079881074644124200872115278446197795971588140759859645424333292614210729608797464213666544961998056029107218408319601518489156306323269670817882525399129070066031364777620180927323419754130796693979810418522846904680100752009367322534139966645390447878809447452208658010316236424763956630554233474523217373172327191349663214891872409549960688131777724268411477839674552751168463091145047536569011512464569855819374292221914486306619532124845792106800456278320301705700662505797395494133130231244769205748730088853081986922668941861628211971819858057642554792991890241760503367656558348075197926026851605029283788867057314438833521024108638760096994740834470344735846480284310607392012510688970767961912553747169147869324800407668775587051276954336176790006720807457607051578339587428818921850504843599946583330498489912496368160692707214475414950513799143333914418643980623101855237285796206634151339743385390515557002533845154138443842016036837192988976370753889371199584168812571993623798924361322889229067012915919786126811283034332554789701293726568880453543730228644978350174767142457595270480025978430568874220588268}
19382  26712698609041352164656796473073099542385386526811963983619487525212342: {58137,271222,387460,464952,523071,1409557,1817302,2100757,2356918,2741878,2903881,3049558,3132697,3817417,4124422,4354342,4559284,4612981,5043238,5730838,5968597,6305881,6417142,6645622,6650552,6866884,7090357,7481871,7558102,7634038,7759957,8544022,8759497,9149398,9224998,9863257,10349624,11184982,11643327,11710822,11860918,11889795,12682448,12832948,12915481,13283638,13955542,14267754,14402758,15114628,15221158,15380437,15880952,15911257,15963478,16408102,16800824,17443318,17517142,17664742,17866071,18296884,18900927,19556984,19576597,19651078,19656388,19989877,20383798,20607637,21018037,21134595,21325081,21391544,21502047,21698662,21835381,22001607,22038997,22062982,22281382,22543568,22648117,22790422,23661238,23858581,24065487,24139064,24746518,25036235,25053752,25361514,25555657,25597675,26050837,26149657,26187958,26347081,26415028,26475478,26834518,27156447,27329881,27525577,27694582,28185471,28593507,28777791,28790581,29198595,29265382,29562997,29618552,29621302,30043417,30043482,30426457,30681471,30686662,30717210,30923535,30998857,31111798,31145168,31379017,31663381,31748422,31775284,31819078,31960342,32135881,32454262,32664628,32765024,32794357,32806582,32985104,33320871,33620727,33728917,33931318,34007881,34259275,34281958,34562182,34656277,34702198,34748617,34882948,34912102,35038314,35121862,35325748,35411727,35610742,35766050,36033817,36125077,36168502,36210484,36860652,36943177,37072678,37108242,37211542,37485337,37594623,38112598,38417284,38527558,38955995,39148918,39532035,39892981,39906598,39975382,40024675,40333081,40596277,41005222,41111130,41210758,41224715,41963158,42167504,42248137,42366567,42372742,42674511,42764377,42919260,42935881,42986038,43851872,44682838,44803417,44885782,44887477,45148503,45291238,45473881,45628678,45701607,45724117,45780544,46147871,46436902,46705798,46747194,46833464,46970895,47108662,47438442,47644918,47711878,48029610,48113535,48475828,48757081,49159381,49247542,49321407,49333356,49343284,49399897,49469658,49799317,49939615,50102288,50286423,50310838,50592757,50642278,50642308,51019787,51105622,51231584,51321104,51503112,52029958,52103343,52192227,52293478,52687647,52688278,52699081,53236597,53279398,53313097,53607238,54225481,54406675,54959295,55044982,55127497,55202197,55370662,55528995,55810424,55822319,56314057,56365074,56670148,56798902,57337177,57510118,57635532,57736242,57941001,58417717,58489177,58623248,58892450,59055142,59139647,59230928,59482057,59927538,60016102,60045411,60080038,60252277,60277304,60650895,60737881,60782278,60846022,60875977,61766581,61800262,62105881,62216884,62577877,62619087,62750902,62779081,62786727,63319558,63365183,63489988,63634918,64216911,64234777,64430581,64694288,64909263,65205718,65288010,65431835,65518678,65925530,65951154,66080998,66634794,66828742,66897795,67103797,67326715,67388038,67598581,67811967,67946038,68027737,68513881,68873158,68875203,69119782,69167864,69274623,69294037,69304582,69427702,69457535,69612262,69640544,69885877,70053752,70295881,70410358,70670940,70716598,70990537,71144662,71276917,71357648,71447881,71449942,71812947,71844277,71911108,71998438,72180982,72241798,72460057,72781074,72847381,72885410,73817398,73827157,74041717,74667719,75147371,75382336,75595247,75665497,75920917,75981142,76174537,76220278,76376137,76771343,76876582,76908484,76934991,77366857,77610037,77658457,77768422,77813847,77899477,77995381,78005638,78062583,78183382,78345612,78376117,78518202,78705481,78810471,79110636,79307797,79541302,79717798,79746170,79804468,79952902,80070358,80277354,80367807,80607577,80792058,80825557,80955481,81041284,81179267,81236395,81256117,81299782,81468697,81474838,81721417,81805081,81999142,82580182,82906357,82946137,83161551,83217478,83349042,83737462,83860995,83917237,84068437,84364671,84478297,84485210,84734581,84805128,84843337,85342297,85447381,85517077,85724437,85792981,85804438,85861558,85963081,86032822,86341178,86370868,86396917,86462581,86625481,86882377,86943351,87057382,87351637,87462492,87480147,87737542,87804697,87838851,87850678,88189702,88241557,88355317,88717081,88933657,88983314,89173047,89220484,89327317,89378581,89427862,89451728,89555737,89704777,89708182,89764198,89875381,90267622,90297877,90521690,90602518,90632137,90881158,90936838,91232437,91247284,91437238,91589275,91719157,91754581,91789717,91876297,91893397,92011081,92213062,92220277,92357977,92546581,92787637,92884664,92970697,92993881,93127307,93266884,93325657,93334837,93370918,93455797,93474050,93503317,93558815,93576757,93647127,93712981,93749017,93755302,93794377,93848917,93883081,93907381,93909397,93913177,93913717,93914581,94072708,94248358,94499823,94521718,95068799,95230582,95279284,95352383,95405769,95665462,95695404,95841559,96232035,96315862,96794515,97017862,97287142,97448518,97483674,98253238,98574118,98787718,99225050,99373798,99532191,99904918,...,31940042132303224945793941077614416553067567194150856155143329910047099236929948454012170032939246184947185746559181177376643252092722598131453067995878941217560801763146518889754059843327162823514494103794722006649043974519850279876939524107472214774986237042669460096014302836372879507691810849461793585991467592869841774759063045621647845355917403472666968830925020461873899071034797159806633837980339467608813009951316946780900786639079754274076678694620031302384112749257920705048193484654763015185826971738069142739996027519220624053084936155009253669887296592950265032864842247964988298057652253343667475032193009562946993662252368571126056990404389904618958721635135967280236709044400635567703095621708519881345537986902799896636414447553161683964518520350477816305797471465331255872308935634629465877039686075938000015213423951036662478650163363942031832197643543353939579326978846852421792963381199501835637880371739226926728991359645547567988615900954869681287489497449877156065318395117207041810617002086106169373312668997730083521191773997108805128226141671880650389891852798342225078814598547035481300633359297538758878760859400759877996223430992559029848490627798928037189283512255616646546098740708456968463518380611485066422693937819683138879370912157345482157090721977195425450969819819791292026659191885762072158945492187760184909576064626544066526369579771551146884071115532069432905472264518092390145048801218832082798289745309775825867032408703271799482325211660628123581897135044975225173225000155345396795662482970982759000818185493178736835933819334856203858763658087011993987720943538155756646447379911470889987900982105249813122681106436141930830772419242822005216809538992319082259274877194032102975166157262661799628371342944225880394815065816274641124370219086331047334493055055811688837765054705291630248973766452471560456025068518824437865178919355802763321012488301049547598159640409734621971962333391067719242527331781233553197119821611966186301308172917669296693957382211139789468136499938921316094413196196320499817442997084043660827612479402277733734459484904506226823788098693605099047047166430271390985129631196195040969715627784270357020151128014050983801209949968085671818214171178312987015474354637145934945831350211784826059758490787024494822337808614324941032197666586402617216759511829126752694636717571304853517268696854783729061438332871729459929298187268688160200684417480452558550993758696093241199695346867153808623095133279622980384003412792442317957729787086463832189487835362640755051484837522112796889040277407543925683300585971658250281536162958140145492111251705517103769720426465911088018766033456151942868830620753721803987200611503163380576915431504265185010081211186410577367509381143228382775757265399919874995747734868744552241039060821713122425770698715000871627965970934652782855928694309951227009615078085773335503800767731207665763024055255789483464556130834056799376253218857990435698386541984333843600519373879679190216924551498832184551940589853320680315595342967467525262150713686392905720038967645853311330882402}
19383  26817981141580864093850072318467301822105215213734983583007671581756869: {38762,77516,406833,484325,581190,619936,697428,2725953,3535377,4112817,4574337,5699105,5819233,6186633,6531513,6838926,7564857,8313190,8583605,8596257,9055921,9299173,9625713,9968433,9975828,10300326,11097142,11262977,11337153,11387137,11451057,12816033,12937030,13724097,13837497,13895833,14700721,15074081,15312037,15435881,15524436,15737062,15853060,16041185,16777473,17112361,17566233,17610857,17791377,18217817,18717601,18893285,19023672,19249422,19725622,19851190,19925457,20376982,20933313,21001030,21121681,21304966,21401631,21604137,21922033,22671942,22831737,22871105,23821428,23938937,23945217,24303253,24446230,24570485,24612153,25201236,25738897,25798513,25912678,25916233,26164977,26191457,26275713,26434021,26497113,26739430,27252022,27445326,28179460,28669396,28861966,29335476,29476617,29484582,29620006,29665637,30173830,30575697,31317190,31498937,31567246,32087316,32444981,32547993,33018785,33094473,33422073,33622342,33815352,34185633,34750417,35032121,35491857,35509081,36208596,36896566,37023190,37119777,37131118,37580628,37726897,38042271,38124676,38370388,38888326,38931460,39213733,39281937,39619606,39622542,39713217,39719105,40057976,40251777,40299281,40699633,40830785,40908628,40956280,40979281,41128582,41231380,41541873,41914997,42609401,43603685,43659022,43839502,43898073,44157185,44427828,44431953,44738657,44739718,44827636,44905966,45065223,45263105,46029993,46075815,46418881,46667697,46717752,47199577,47215636,47622633,47662926,47728617,47940513,48021605,48156646,48681393,48834121,48996942,49053257,49083478,49147536,49209873,49477656,50126164,50595142,50896977,51295342,51422937,51827062,51843273,52053297,52056373,52324422,52368153,52557471,52682793,52709380,52742641,52793081,52988622,53416113,53507686,53649075,54252753,54315726,54580006,54814840,55122097,55290978,55525513,55609017,55662363,55817313,56317441,56488756,56607502,56899348,56982757,57168897,57225680,57294481,57625926,57791337,58541830,58723377,58808398,59859897,59963073,60198004,60479113,60521881,60594785,60935476,61297033,61415782,61462057,61491617,61507833,61666695,61679105,61816137,62329592,62437942,62627860,62944737,63251256,63302885,63542566,63559113,63845518,64039480,64151380,64378890,64479057,65181286,65521222,65538377,65761876,65777808,65836097,65959544,65970337,66361702,67024257,67048564,67328673,67936857,68443017,68500822,68670816,68876302,69084661,69471124,69589636,69655353,69763030,70058697,70120791,70221073,70250196,70662993,70837685,71157663,71467377,71567817,72044415,72471617,72713742,72950998,73279060,73857401,73871313,74000034,74014926,74038660,74204487,74454406,75082337,75153432,75346630,75379726,75466257,75963417,75963462,76658433,76847376,76981656,77254668,77582821,77771105,78044937,78270262,78419302,78440217,78968177,79032417,79362485,79903384,79919097,80060548,80410857,80867860,81100417,81274081,82567473,82655206,82788817,83055993,83065366,83492116,83715636,84547611,85005222,85198353,85200673,85622548,85715797,86265177,86408761,86453298,86459830,86545684,86604363,86827553,87050680,87567190,87934872,88308886,88338675,88582713,88846392,89197060,89816566,89888885,89891307,90024153,90120057,90135697,90310081,90415956,91173417,91269033,91833604,92366164,92700393,93325326,94126353,94227920,94979337,95002613,95234982,95452377,95731918,95750596,95897681,96135605,96231077,96409201,96432358,96514486,97041432,97808577,97919653,97932015,98278017,98639542,98781601,98888295,98926731,99121497,99147982,99223222,99755585,99952191,...,47910063198454837418690911616421624829601350791226284232714994865070648855394922681018255049408869277420778619838771766064964878139083897197179601993818411826341202644719778334631089764990744235271741155692083009973565961779775419815409286161208322162479355564004190144021454254559319261537716274192690378987201389304762662138594568432471768033876105209000453246387530692810848606552195739709950756970509201413219514926975420171351179958619631411115018041930046953576169123886881057572290226982144522778740457607103714109994041278830936079627404232513880504830944889425397549297263371947482447086478380015501212548289514344420490493378552856689085485606584856928438082452703950920355063566600953351554643432562779822018306980354199844954621671329742525946777780525716724458696207197996883808463403451944198815559529113907000022820135926554993717975245045913047748296465315030909368990468270278632689445071799252753456820557608840390093487039468321351982923851432304521931234246174815734097977592675810562715925503129159254059969003496595125281787660995663207692339212507820975584837779197513337618221897820553221950950038946308138318141289101139816994335146488838544772735941698392055783925268383424969819148111062685452695277570917227599634040906729524708319056368236018223235636082965793138176454729729686938039988787828643108238418238281640277364364096939816099789554369657326720326106673298104149358208396777138585217573201828248124197434617964663738800548613054907699223487817490942185372845702567462837759837500233018095193493724456474138501227278239768105253900729002284305788145487130517990981581415307233634969671069867206334981851473157874719684021659654212896246158628864233007825214308488478623388912315791048154462749235893992699442557014416338820592222598724411961686555328629496571001739582583717533256647582057937445373460649678707340684037602778236656797768379033704144981518732451574321397239460614601932957943500086601578863790997671850329795679732417949279451962259376503945040936073316709684202204749908381974141619794294480749726164495626065491241418719103416600601689227356759340235682148040407648570570749645407086477694446794292561454573441676405535530226692021076475701814924952128507727321256767469480523211531955718902418747025317677239089637736180536742233506712921487411548296499879603925825139267743690129041955076356957280275903045282175593592157499307594189893947280903032240301026626220678837826490638044139861799543020300730712934642699919434470576005119188663476936594680629695748284231753043961132577227256283169195333560416111315888524950878957487375422304244437210218238166877558275655654580639698866632028149050184227914303245931130582705980800917254745070865373147256397777515121816779615866051264071714842574163635898099879812493621602303116828361558591232569683638656048072501307441948956401979174283893041464926840514422617128660003255701151596811498644536082883684225196834196251085199064379828286985653547579812976500765400779060819518785325386827248248276827910884779981020473393014451201287893226070529589358580058451468779966996323603}
19384  26923675662786533423444741164270582888750398486746375459368901385288763: {58143,96895,116274,213103,542444,774920,871785,929904,1046142,1601983,2819114,3323503,3634604,4201514,4348639,4713836,5028823,5483756,5807762,5931703,6099116,6265394,6605839,6717943,7277383,7634834,8248844,8708684,8834239,9118568,9225962,10086476,10258389,11033839,11461676,11937194,12014263,12231343,12469785,12611762,12772783,12834284,13291244,13301104,13733768,14180714,14813839,14963742,15116204,15268076,15450489,15519914,15983623,16301143,16645713,17088044,17354863,17518994,17879023,18088183,18298796,18449996,18609823,18921943,19405545,19726514,19816325,20060839,20699248,20986183,21701863,22369964,23286654,23421644,23605593,23626639,23721836,23779590,25364896,25624639,25665896,25830962,26514343,26567276,26711263,27911084,28470583,28535508,28805516,28874133,29051839,29588433,29776785,30229256,30442316,30565473,30760874,31445839,31501545,31761904,31822514,31824703,31926956,31957449,32816204,33235183,33328639,33422023,33601648,34007913,34721839,34886636,35034284,35050729,35224325,35329484,35732142,35733223,35836745,36593768,36669345,37098343,37801854,38804239,38869017,39113968,39153194,39302156,39312776,39979754,40044583,40109145,40132639,40767596,40878033,41167989,41215274,41357863,41444839,42036074,42269190,42650162,42783088,43004094,43292949,43397324,43670762,43935823,44003214,44077994,44125964,44226873,44430009,44562764,44948863,45087136,45200503,45260745,45296234,45580844,45785143,46117639,46943839,46975785,47322476,47350869,47655845,47717162,47762839,47844343,47962985,48130974,48278128,48574639,48655423,48664325,49459303,49493036,50072470,50107504,50255983,50433513,50723028,51111314,51135785,51195350,51359239,51539225,51671863,52101674,52299314,52375916,52525639,52694162,52830056,52950956,53370703,53669036,54312894,54509023,54538393,54659762,55051154,55109503,55344849,55389164,55534785,55696677,56034545,56370942,56590543,56737063,57029239,57102103,57187014,57555582,57581162,57714601,58042783,58332489,58397190,58530764,59019545,59125994,59237104,59242604,59254543,59429409,59433813,59606983,60086834,60086964,60514903,60584239,60653503,60852914,61362942,61373324,61434420,61547383,61615639,61692873,61847070,61997714,62223596,62290336,62657705,62758034,63298639,63326762,63496844,63550568,63638156,63893503,63920684,64271762,64352143,64677583,64908524,65329256,65488533,65530048,65588714,65613164,65759253,65886725,65970208,66641742,66905263,67109577,67154239,67241454,67358949,67457834,67839497,67862636,68015762,68381839,68442463,68518550,68563916,69124364,69312554,69404396,69497234,69521383,69765896,69824204,69915461,69934663,70076628,70243724,70610945,70651496,70823454,71124185,71221484,71324839,71494389,71532100,71665903,72067634,72234969,72250154,72337004,72420968,72673543,73495413,73625217,73721304,73886354,74034343,74145356,74216484,74423084,74618839,74671543,74933983,74970674,75090583,75189246,75247505,75401839,75659239,75892713,76118023,76168639,76169345,76219183,76225196,76370383,76420639,76834568,76943013,77055116,77740593,77911990,77942863,78284825,78297836,78486633,78841639,79064070,79258303,79482933,79532839,79759639,79785962,79813196,79950764,80049350,80189225,80207839,80261529,80648839,80666162,80692543,81192554,81339463,81473589,81719839,81870009,81887023,82010444,82135639,82176823,82202345,82222260,82421516,82449430,82936467,83151233,83572903,83688463,83810705,83926316,84144223,84335008,84496274,84733134,84745484,84911253,85202839,85349022,85528754,85838520,85871762,85897639,85972076,86200903,86399839,86438889,86531023,86596183,86838905,86987045,87231943,87324823,87659839,87703744,87812745,88131583,88212597,88912783,88939639,89046343,89072839,89204239,89365676,89461639,89486983,89587639,89606834,89771564,89774954,89978743,90073639,90297006,90582476,90727183,90729769,90854839,90947762,91257356,91403214,91435303,91448234,91473103,91561088,91598825,91604569,91621423,91972063,91988839,92123673,92295742,92384839,92516383,92548325,92600839,92873804,92936863,93053143,93108583,93385783,93411596,93494388,93511063,93626839,93652903,93656913,93665503,93666928,93695743,93713023,93765943,93775663,93798703,93835639,93881503,93896839,93909583,93914983,93941790,94217324,94257401,94876884,94983029,95289836,95313849,95423756,95768277,96059220,96227070,96568335,96951656,97240549,97514162,97771929,98281833,98318762,98495084,98642814,98666712,98686568,98799794,98939316,99542553,99598634,99879230,...,63880084264606449891587882155228833106135134388301712310286659820094198473859896908024340065878492369894371493118362354753286504185445196262906135991757882435121603526293037779508119686654325647028988207589444013298087949039700559753879048214944429549972474085338920192028605672745759015383621698923587171982935185739683549518126091243295690711834806945333937661850040923747798142069594319613267675960678935217626019902633893561801573278159508548153357389240062604768225498515841410096386969309526030371653943476138285479992055038441248106169872310018507339774593185900530065729684495929976596115304506687334950064386019125893987324504737142252113980808779809237917443270271934560473418088801271135406191243417039762691075973805599793272828895106323367929037040700955632611594942930662511744617871269258931754079372151876000030426847902073324957300326727884063664395287086707879158653957693704843585926762399003671275760743478453853457982719291095135977231801909739362574978994899754312130636790234414083621234004172212338746625337995460167042383547994217610256452283343761300779783705596684450157629197094070962601266718595077517757521718801519755992446861985118059696981255597856074378567024511233293092197481416913936927036761222970132845387875639366277758741824314690964314181443954390850901939639639582584053318383771524144317890984375520369819152129253088133052739159543102293768142231064138865810944529036184780290097602437664165596579490619551651734064817406543598964650423321256247163794270089950450346450000310690793591324965941965518001636370986357473671867638669712407717527316174023987975441887076311513292894759822941779975801964210499626245362212872283861661544838485644010433619077984638164518549754388064205950332314525323599256742685888451760789630131632549282248740438172662094668986110111623377675530109410583260497947532904943120912050137037648875730357838711605526642024976602099095196319280819469243943924666782135438485054663562467106394239643223932372602616345835338593387914764422279578936272999877842632188826392392640999634885994168087321655224958804555467468918969809012453647576197387210198094094332860542781970259262392390081939431255568540714040302256028101967602419899936171343636428342356625974030948709274291869891662700423569652119516981574048989644675617228649882064395333172805234433519023658253505389273435142609707034537393709567458122876665743458919858596374537376320401368834960905117101987517392186482399390693734307617246190266559245960768006825584884635915459574172927664378975670725281510102969675044225593778080554815087851366601171943316500563072325916280290984222503411034207539440852931822176037532066912303885737661241507443607974401223006326761153830863008530370020162422372821154735018762286456765551514530799839749991495469737489104482078121643426244851541397430001743255931941869305565711857388619902454019230156171546671007601535462415331526048110511578966929112261668113598752506437715980871396773083968667687201038747759358380433849102997664369103881179706641360631190685934935050524301427372785811440077935291706622661764804}
19385  27029783773327312866725422200691362347934364120694425423929517300788867: {77524,155032,174411,678055,813666,968650,1162380,1239872,1394856,1569213,4228671,4543255,5451906,5892295,6302271,6854695,7070754,7623895,7978747,8225634,8711643,8719183,9148674,9398091,10311055,10885855,11398210,11452251,11638466,12017047,12373266,12608095,12895111,13063026,13310791,13677852,13838943,14327095,15129714,15498703,16042855,16614055,16626380,17167210,17192514,17251867,17814823,17905791,18111842,18598346,18895255,18917643,19085095,19106491,19251426,19366927,19936866,19951656,20600652,20729287,20812831,21271071,21360055,21412303,21983839,22194284,22445613,22457659,22525954,22674306,22677259,22774274,22873495,22902114,23062495,23279871,23537671,25632066,25874060,25905127,26278491,26318167,26450599,27079303,27448194,27674994,27791666,27962455,28291471,28990159,29277055,29401442,29589771,29652295,30148162,30624074,30871762,31048872,31474124,31706120,31711543,32019547,32082370,32386231,33081439,33209095,33554946,33564439,34027663,34224722,34398679,34445323,34888855,34929981,35132466,35221714,35283259,35582754,35669385,35686927,36006895,36435634,37435202,37478527,37786570,38047344,38052895,38498844,38746443,39153547,39451244,39451831,39702380,39850914,39908695,40303483,40721263,40753964,41020255,41866626,42002060,42107887,42243362,42609932,42803262,42840799,43208274,43608295,43792855,43844066,43959631,44161855,44477323,44788999,45343884,45624571,45663474,45742210,46141311,46226299,46390111,47626423,47642856,47733771,47877874,47890434,48606506,48681727,48892460,49058383,49127695,49140970,49224306,49728127,50028151,50402472,50959495,51274159,51477794,51597026,51825356,51832466,52329954,52382914,52551426,52868042,52994226,53478860,53598213,54175567,54246655,54504044,54890652,55157455,55606747,55703455,56103703,56358920,56702781,56976055,57163099,57338792,57723932,57943003,57972031,58670952,58729791,58953234,58969164,59153095,59240012,59331274,59729647,59969631,60266671,60347660,61045159,61151394,61498063,61820059,61822911,61866295,62391823,62634380,62997874,63054111,63134492,63368347,63403785,63419887,63975243,64174632,64293979,64506141,64889962,65095986,65469895,65506143,65842951,66004821,66037570,66116991,66188695,66188946,66719803,66844146,67068427,67086295,67230247,67244684,67630704,67944351,68371266,68716159,68735371,69236455,69500834,70064242,70570159,70983714,71018162,71508667,71575743,72196461,72417192,72671911,73163455,73793132,73865119,74046380,74053255,74239554,74262236,74508127,74513071,75108705,75161256,75453794,76084542,76130827,76249352,76357087,76666971,76716655,76740776,76793025,77776652,77779495,77862920,77961103,78152511,78427466,78448971,78563874,78976411,79041243,79239212,79245084,79371055,79426434,79438210,79547695,79850503,79900855,80115952,80503554,80518567,80598562,81135655,81399266,81469341,81661570,81817256,81912560,81958562,81989643,82016455,82257164,82462760,82546507,82576731,82993447,83083746,83689903,83829994,84392719,84556413,84676351,84828295,84832699,85218802,85704895,85780521,86333373,86350747,86371743,86405455,86755495,87207370,87280255,87318044,87595785,87679004,87709051,87796146,87804655,88314370,88624039,88688991,88733671,88855656,88863906,89026855,89097223,89415125,89477314,89479436,89655272,89811932,90130251,90130446,90421255,90526210,91178599,91279371,91318039,92044413,92059986,92151630,92681695,92770605,92837762,92996571,93028855,93335394,93435504,94137051,94399154,94431272,94990143,95095759,95245266,95281495,95325852,95457234,95881026,95907823,96043210,96241111,96313292,96313723,96318895,96407643,96712699,97362786,97380559,97668242,97872295,97993884,98106514,98163931,98166956,98295072,98383071,98419746,98955312,99172759,99766495,99938455,99962613,...,95820126396909674837381823232843249659202701582452568465429989730141297710789845362036510098817738554841557239677543532129929756278167794394359203987636823652682405289439556669262179529981488470543482311384166019947131923559550839630818572322416644324958711128008380288042908509118638523075432548385380757974402778609525324277189136864943536067752210418000906492775061385621697213104391479419901513941018402826439029853950840342702359917239262822230036083860093907152338247773762115144580453964289045557480915214207428219988082557661872159254808465027761009661889778850795098594526743894964894172956760031002425096579028688840980986757105713378170971213169713856876164905407901840710127133201906703109286865125559644036613960708399689909243342659485051893555561051433448917392414395993767616926806903888397631119058227814000045640271853109987435950490091826095496592930630061818737980936540557265378890143598505506913641115217680780186974078936642703965847702864609043862468492349631468195955185351621125431851006258318508119938006993190250563575321991326415384678425015641951169675558395026675236443795641106443901900077892616276636282578202279633988670292977677089545471883396784111567850536766849939638296222125370905390555141834455199268081813459049416638112736472036446471272165931586276352909459459373876079977575657286216476836476563280554728728193879632199579108739314653440652213346596208298716416793554277170435146403656496248394869235929327477601097226109815398446975634981884370745691405134925675519675000466036190386987448912948277002454556479536210507801458004568611576290974261035981963162830614467269939342139734412669963702946315749439368043319308425792492317257728466015650428616976957246777824631582096308925498471787985398885114028832677641184445197448823923373110657258993142003479165167435066513295164115874890746921299357414681368075205556473313595536758067408289963037464903148642794478921229203865915887000173203157727581995343700659591359464835898558903924518753007890081872146633419368404409499816763948283239588588961499452328991252130982482837438206833201203378454713518680471364296080815297141141499290814172955388893588585122909146883352811071060453384042152951403629849904257015454642513534938961046423063911437804837494050635354478179275472361073484467013425842974823096592999759207851650278535487380258083910152713914560551806090564351187184314998615188379787894561806064480602053252441357675652981276088279723599086040601461425869285399838868941152010238377326953873189361259391496568463506087922265154454512566338390667120832222631777049901757914974750844608488874420436476333755116551311309161279397733264056298100368455828606491862261165411961601834509490141730746294512795555030243633559231732102528143429685148327271796199759624987243204606233656723117182465139367277312096145002614883897912803958348567786082929853681028845234257320006511402303193622997289072165767368450393668392502170398128759656573971307095159625953001530801558121639037570650773654496496553655821769559962040946786028902402575786452141059178717160116902937559933992647206}
19386  27136307080046659940257212617198347854574626358719355310415840623686107: {96905,116286,135653,193790,232548,251849,426206,1024649,1084888,1220499,1294373,1452975,1549840,1743570,1859808,1871033,2092284,2177849,2445893,2637113,2866313,3203966,3209573,3323849,3438053,4273349,4386953,5638228,5857253,5969849,6044873,6643913,6647006,7091849,7269208,8177859,8317733,8403028,8697278,8835173,9203813,9427672,10057646,10304933,10606131,10967512,11144249,11253413,11507849,11615524,11863406,12051749,12198232,12338451,12530788,12593849,13211678,13435886,13723011,14316473,14554766,15269668,15985349,16338149,16497688,17097315,17146553,17417368,17457699,17461733,17566649,17668478,18237136,18451924,18559899,18715973,18958649,19594539,20063033,20172952,20406473,20516778,20612153,20782975,21022649,21193349,21602213,22067678,22111673,22450313,22694571,22821893,22923352,23327033,23461433,23874388,23964293,24028526,24462686,24731849,24939570,25163813,25223524,25329593,25545566,25627493,25660553,25668568,25750815,25788771,25957733,26550149,26582488,26602208,27167763,27205349,27467536,27629513,27742855,27792293,27897519,28117253,28361428,28409033,28877139,29055113,29376953,29627678,29905299,29927484,30232408,30536152,30900978,31005893,31039828,31291193,31449413,31481033,31967246,32342575,32394533,32602286,32707973,32864393,33051833,33291426,33788931,34011459,34161411,34176088,34353171,34664249,34709726,34725833,34756613,34818149,35037988,35186693,35584649,35758046,35828873,36103013,36176366,36597592,36740153,36899992,37219646,37494053,37843886,37854149,38448099,38811090,38838473,39105413,39194249,39342655,39430793,39453028,39632650,39784649,39872933,40121678,40137353,40664249,40751813,41101349,41172291,41398496,41512491,41623493,41687499,41972366,42258149,42831749,43031753,43403726,44102163,44448953,44739928,44814149,44870213,44954249,45222243,45233849,45456953,45790649,45936111,45984773,46307643,46573308,46702373,46843288,46894649,47211186,47223353,47253278,47443672,47559180,47931593,48123555,48337733,48526649,48742073,49314055,49465349,49627975,49651913,50050373,50171443,50332419,50729792,50736773,50942455,50973113,51249278,51313349,51331792,51337083,51391673,51661924,51834149,52502575,52557893,52698699,52832571,53028686,53071013,53134552,53249849,53262415,53326373,53374131,53377349,53422526,53453753,54515849,54653451,54966713,55141349,55191173,55588613,55822168,55934693,56152803,56622149,56679855,56941166,56987849,57071016,57279113,57545093,57611032,57748266,58103678,58265573,58504133,58836773,58978853,59176866,59262149,59553570,59776371,60267833,60458512,60615173,60884632,60891749,60937733,61115575,61130946,61521748,61578149,61691849,61850693,62189753,62369849,62437253,62661413,62799939,62891678,62973893,63003090,63262649,63329093,63365043,63523808,63645028,63649406,63853912,63914898,64204893,64781695,64812411,65632408,65651849,65766099,66433733,66470366,66538553,66601349,66657278,66718183,66844046,66848575,67059653,67148179,67163273,67183973,67203296,68015826,68046149,68130055,68411333,68495211,68512313,68613315,68653349,68753849,69054149,69312953,69352649,69443678,69609893,69773272,69944249,70068568,70101458,70448650,70658968,71334713,71464284,71466446,71590099,71619173,71673490,71816811,71835651,71920613,72154915,72294533,72480293,72518083,72909759,73187536,73338690,73578053,73668233,73711455,73836459,73847993,74009093,74050015,74062649,74098313,74196686,74470853,74682149,75412613,75434575,75603708,75687173,76196453,76230149,76398149,76431653,76598693,76847753,77216691,77389349,77395539,77608478,77664953,77738034,77748699,77922233,77954249,78145673,78227936,78292975,78304313,78306388,78448363,78494931,78574371,78604312,78625552,78827139,78918115,79177913,79302063,79491339,79741349,79959508,80089166,80173951,80218290,80219813,80265278,80660933,80849849,80965433,81535192,81746213,81756066,81774149,82285193,82335978,82353413,82430548,82597349,82627363,82691513,82715726,82731749,82798649,82889678,82971653,83287493,83560073,84055855,84072148,84157349,84244793,84538380,84833849,84930233,85192649,85300324,85566176,85602149,85774649,85979273,86008188,86058149,86147813,86192453,86424713,86577593,86585898,86771849,86794648,86910533,86931749,87005753,87277193,87341524,87533093,87720787,87871646,87882953,87922313,87951749,88006428,88155988,88251928,88429851,88453746,88459913,88774073,88846649,88860018,88963493,88996911,89043593,89096633,89125528,89140613,89245349,89348933,89400293,89459849,89586149,89602853,89751749,89857673,89897726,89930213,90174272,90190649,90329033,90344249,90401006,90521490,90592468,90619973,90678149,90807173,90912713,90961349,91064249,91145273,91161688,91316873,91375013,91564133,91570286,91727091,91751993,91834313,91926473,91937849,91994249,92060873,92093753,92235278,92241415,92356553,92401733,92557975,92594693,92622533,92753033,92827795,92860133,92893349,92921993,92933731,92966213,93005573,93059333,93118853,93190373,93304613,93361349,93370553,93376649,93513353,93531749,93539513,93633893,93640649,93719993,93737093,93786149,93794249,93814373,93835913,93854393,93875849,93879173,93887678,93888713,93901349,93908453,93932933,93948773,93951570,93951749,93954233,94496811,94644952,94701738,95311690,95434324,95525678,95688686,95925970,96261948,96556256,97149278,97220815,97310846,97328650,97334943,97643979,98269639,98855323,98918606,98986072,99049015,99056355,99283419,99573859,...,143730189595364512256072734849264874488804052373678852698144984595211946566184768043054765148226607832262335859516315298194894634417251691591538805981455235479023607934159335003893269294972232705815223467076249029920697885339326259446227858483624966487438066692012570432064362763677957784613148822578071136961604167914287986415783705297415304101628315627001359739162592078432545819656587219129852270911527604239658544780926260514053539875858894233345054125790140860728507371660643172716870680946433568336221372821311142329982123836492808238882212697541641514492834668276192647891790115842447341259435140046503637644868543033261471480135658570067256456819754570785314247358111852761065190699802860054663930297688339466054920941062599534863865013989227577840333341577150173376088621593990651425390210355832596446678587341721000068460407779664981153925735137739143244889395945092728106971404810835898068335215397758260370461672826521170280461118404964055948771554296913565793702738524447202293932778027431688147776509387477762179907010489785375845362982986989623077017637523462926754513337592540012854665693461659665852850116838924414954423867303419450983005439466515634318207825095176167351775805150274909457444333188056358085832712751682798902122720188574124957169104708054669706908248897379414529364189189060814119966363485929324715254714844920832093092290819448299368663108971980160978320019894312448074625190331415755652719605484744372592303853893991216401645839164723097670463452472826556118537107702388513279512500699054285580481173369422415503681834719304315761702187006852917364436461391553972944744245921700904909013209601619004945554419473624159052064978962638688738475886592699023475642925465435870166736947373144463388247707681978098327671043249016461776667796173235885059665985888489713005218747751152599769942746173812336120381949036122022052112808334709970393305137101112434944556197354722964191718381843805798873830500259804736591372993015550989387039197253847838355886778129511835122808219950129052606614249725145922424859382883442249178493486878196473724256157310249801805067682070278020707046444121222945711712248936221259433083340382877684363720325029216606590680076063229427105444774856385523181963770302408441569634595867156707256241075953031717268913208541610226700520138764462234644889499638811777475417803231070387125865229070871840827709135846526780776472497922782569681841842709096720903079878662036513479471914132419585398629060902192138803928099758303411728015357565990430809784041889087244852695259131883397731681768849507586000681248333947665574852636872462126266912733311630654714500632674826966963741919096599896084447150552683742909737793391748117942402751764235212596119441769193332545365450338847598153792215144527722490907694299639437480864806909350485084675773697709050915968144217503922325846869205937522851679124394780521543267851385980009767103454790434495933608248651052675590502588753255597193139484860956960642739438929502296202337182458556355976160481744744830483732654339943061420179043353603863679678211588768075740175354406339900988970809}
19387  27243247195986184412359977956949650746584431481368834022557141340788059: {19387,155048,174429,290685,310064,348822,639309,949277,1356110,1627332,1937300,2324760,2479744,2615355,2789712,3138426,4805949,6360557,7047785,8249213,8457342,9086510,9144509,9596573,9970509,10304489,10503785,10673453,10903812,11784590,12160457,12604542,13045917,13709390,13784429,14141508,14230733,14435477,14519405,15086469,15240197,15247790,15663485,15957494,16451268,17423286,17438366,17651333,17795109,18297348,18316649,18796182,19087085,19817517,20023433,20057933,20153829,20622110,21645389,21771710,21832149,21836309,22158893,22459997,22796420,22904502,23064905,23101133,23259677,23276932,24034094,24570173,24746532,25216190,25305449,25790222,26126052,26453357,26502717,26621582,26719133,26800397,26890853,27355704,27677886,28133213,28654190,28952789,29291753,29413373,29842985,29904077,30259428,30775167,30997406,31529405,31781177,32022893,32085710,32287493,33101517,33191213,33228110,33252760,33736517,34261097,34334420,34385028,34448909,34503734,35451785,35629646,35687549,35811582,36042789,36223684,36694029,36973373,37196692,37409355,37790510,37835286,38170190,38212982,38318349,38502852,38733854,38799785,39147437,39873732,39885389,39903312,40063253,40708109,40725509,40987877,41201304,41458574,41513213,41625662,41698397,42542142,42720110,42824606,42984677,43535273,43797485,43967678,44388568,44441517,44891226,44915318,45051908,45348612,45354518,45442853,45548548,45746990,45804228,46124990,46351467,46492733,46559742,47075342,47631389,47880893,47950869,48125129,48844397,48903429,49316285,49335173,49589429,49937139,50058293,50409653,51264132,51279497,51748120,51810254,52064589,52556982,52564109,52636334,52901198,53157653,53222597,53274053,53637069,54158606,54264549,54408989,54896388,55349988,55583332,55829469,55872173,55924910,56191277,56582942,56765829,57306413,57428357,57684089,57911813,57978089,57980318,58216635,58554110,58802884,58840469,59168957,59179542,59304590,59448975,60182517,60296324,60690677,60846089,61051613,61248148,61309997,61743524,61826597,62097744,62309609,62405813,62948248,62958549,63412240,63423086,63848933,64039094,64164740,64396013,64577405,64772462,65105589,66105077,66162878,66418190,66726749,67109892,67128878,68055326,68417117,68449444,68778773,68797358,68890646,69341933,69356477,69777710,69859962,70264932,70443428,70566518,70816779,70827773,70879917,71165508,71338770,71343293,71373854,71933513,72013790,72679529,72871268,74515913,74870404,74957054,75573140,75945317,76094688,76105790,76553273,76739333,76800413,76873917,76902185,76997688,77220437,77471789,77492886,77984837,78307094,78711533,78902488,78903662,79404760,79543029,79556285,79701828,79766477,79817390,79858829,80133789,80429897,80606966,81442526,81507928,81623093,82040510,82555133,82814333,82881293,83273789,83401097,83733252,84004120,84107453,84215774,84486724,85219864,85411749,85606524,85681598,85970153,86416548,86612813,86622399,87155517,87216590,87585710,87688132,87919262,88323710,88509437,88717133,88765299,88954646,89330355,89577998,89719589,90687768,91249142,91326948,91484420,91567493,91657853,91696419,91827557,92135849,92282622,92452598,92664173,92780222,93126317,93154493,93443429,93920813,94337517,94504635,95105813,95252846,95285712,95467542,95474109,95755748,95780868,95872347,96323909,96931037,97213012,97363454,97390697,97784920,97882985,98116766,98174189,98255390,98281940,98448612,98520413,98802173,98897417,98906249,99456254,99705549,99949385,99985917,...,191640252793819349674763646465686499318405403164905136930859979460282595421579690724073020197635477109683114479355087064259859512556335588788718407975273647305364810578879113338524359059962976941086964622768332039894263847119101679261637144644833288649917422256016760576085817018237277046150865096770761515948805557219050648554378273729887072135504420836001812985550122771243394426208782958839803027882036805652878059707901680685404719834478525644460072167720187814304676495547524230289160907928578091114961830428414856439976165115323744318509616930055522019323779557701590197189053487789929788345913520062004850193158057377681961973514211426756341942426339427713752329810815803681420254266403813406218573730251119288073227921416799379818486685318970103787111122102866897834784828791987535233853613807776795262238116455628000091280543706219974871900980183652190993185861260123637475961873081114530757780287197011013827282230435361560373948157873285407931695405729218087724936984699262936391910370703242250863702012516637016239876013986380501127150643982652830769356850031283902339351116790053350472887591282212887803800155785232553272565156404559267977340585955354179090943766793568223135701073533699879276592444250741810781110283668910398536163626918098833276225472944072892942544331863172552705818918918747752159955151314572432953672953126561109457456387759264399158217478629306881304426693192416597432833587108554340870292807312992496789738471858654955202194452219630796893951269963768741491382810269851351039350000932072380773974897825896554004909112959072421015602916009137223152581948522071963926325661228934539878684279468825339927405892631498878736086638616851584984634515456932031300857233953914493555649263164192617850996943575970797770228057665355282368890394897647846746221314517986284006958330334870133026590328231749781493842598714829362736150411112946627191073516134816579926074929806297285588957842458407731831774000346406315455163990687401319182718929671797117807849037506015780163744293266838736808818999633527896566479177177922998904657982504261964965674876413666402406756909427037360942728592161630594282282998581628345910777787177170245818293766705622142120906768084305902807259699808514030909285027069877922092846127822875609674988101270708956358550944722146968934026851685949646193185999518415703300557070974760516167820305427829121103612181128702374368629997230376759575789123612128961204106504882715351305962552176559447198172081202922851738570799677737882304020476754653907746378722518782993136927012175844530308909025132676781334241664445263554099803515829949501689216977748840872952667510233102622618322558795466528112596200736911657212983724522330823923203669018980283461492589025591110060487267118463464205056286859370296654543592399519249974486409212467313446234364930278734554624192290005229767795825607916697135572165859707362057690468514640013022804606387245994578144331534736900787336785004340796257519313147942614190319251906003061603116243278075141301547308992993107311643539119924081893572057804805151572904282118357434320233805875119867985294412}
19388  27350605740409385669306400012824680308263216909892508440422404779097262: {135667,193810,232572,271306,387580,465096,503698,523233,852412,1525411,2034165,2049298,2169776,2421625,2440998,2588746,2675611,2904787,2905950,3019267,3099680,3476467,3487140,3719616,3742066,4184568,4355698,4707639,4891786,5274226,5732626,5857867,6407932,6419146,6420187,6647698,6876106,7204411,7762411,8546698,8773906,11276456,11290987,11714506,11835667,11939698,12089746,12686013,13243411,13287826,13294012,13566547,13629765,13996387,14183698,14538416,16355718,16635466,16762267,16806056,17288587,17394556,17670346,17676885,18231427,18407626,18544411,18752707,18855344,18906813,19893187,20115292,20564085,20609866,21212262,21332107,21935024,22288498,22506826,22871685,23015698,23231048,23363227,23726812,23936241,23966947,24103498,24396464,24676902,25061576,25166611,25187698,25663411,26134929,26157549,26158411,26423356,26871772,27446022,27632611,28194273,28412227,28495525,28632946,28897147,29096165,29109532,30539336,30933165,31484611,31970698,32657565,32676298,32899411,32995376,34194630,34293106,34356753,34575787,34760611,34834736,34915398,34923466,34945147,35133298,35221411,35336956,36051141,36137611,36474272,36774667,36903848,37119798,37431946,37498411,37824285,37917298,38127907,38575387,38685333,38839997,39021067,39189078,39464947,39907027,39932373,39995227,40126066,40345904,40435147,40812946,41033556,41224306,41516829,41565950,41744107,42045298,42386698,42918025,42981285,43036867,43204426,44135356,44223346,44313427,44482411,44900626,44903611,45279605,45389142,45490267,45643786,45846704,46495865,46496109,46654066,46922866,47748776,47928586,48057052,48128565,48774907,48925372,49418011,49463698,49817611,49842165,49879140,50327626,50447048,50659186,50769307,51091132,51254986,51321106,51337136,51501630,51577542,51755601,51915466,53100298,53103187,53164976,53204416,53333011,53444469,53485867,53717373,54335526,54410698,54935072,55079717,55223011,55259026,55485710,55584586,55595611,55744147,55795038,55966411,56234506,56314885,56482507,56685765,56722856,56752929,56818066,56935685,57255285,57319473,57754278,58100781,58110226,58153411,58368547,58511611,58753906,58868011,59255356,59786227,59810598,59854968,60136147,60464816,61072304,61801956,61858747,62011786,62079656,62187861,62197867,62438493,62582386,62669611,62803747,62898826,62962066,63004411,63800587,63813213,63934492,64080165,64236909,64685150,64789066,64846027,65168947,65204572,65415946,65490067,65728786,65951517,66103666,66379627,66582852,67193011,67336839,67372977,67577862,67625947,67687507,67933027,68022918,68031777,68238307,68322822,68352176,68541787,68602267,68620485,68706342,69039677,69187485,69328498,69419452,69451666,69479165,69513226,69619411,69636298,69839613,70075976,70324867,70373386,70613013,71077411,71169298,71319437,71477587,71516092,71534467,71648011,71657746,71817787,71930611,72206026,72352732,72933067,73195184,73479907,73480306,73503605,73799984,74439292,74499067,74567381,74988106,75370405,75687772,75708298,76560185,76858867,76896198,77056867,77179405,77622180,77676946,77692411,77715381,78029587,78210826,78388498,78685310,78740227,78835473,78861586,78906056,78954501,78973507,79204987,79265300,79351797,79569298,79745866,80205925,80243356,80274706,80379667,80905411,80992027,81207307,81237909,81328498,81503626,81842347,81884107,81967411,82202698,82344582,82796992,82984411,83024982,83246986,83261107,83374998,83573011,83650267,83887365,83944732,84070027,84444067,84516298,84874413,84955627,85561805,85663498,85703189,85834027,86004307,86063506,86537107,86699827,86807452,86970477,87638347,87831165,88054285,88204326,88483987,88769313,88788907,88897906,88956885,89372611,89423947,89479856,89628298,89740426,89873011,89908498,89945587,89993611,90444486,90467698,90694373,90913906,90935587,91089085,91300411,91397611,91435987,91581298,91714627,91872222,91943011,91969546,92077507,92110411,92378467,92597707,92611747,92615286,92774611,92939347,93046267,93057787,93103147,93146616,93211507,93322387,93388411,93404746,93580507,93588005,93686576,93789298,93799747,93833011,93854611,93899107,93908611,93964987,93968011,93971611,94422372,94446706,94466425,94506556,94751033,94887344,95118360,95134629,95382077,95863186,96058641,96247110,96675466,97053298,97158693,97484146,98628110,98930698,99244317,99255950,99303826,99627285,...,287460379190729024512145469698529748977608104747357705396289969190423893132369536086109530296453215664524671719032630596389789268834503383183077611962910470958047215868318670007786538589944465411630446934152498059841395770678652518892455716967249932974876133384025140864128725527355915569226297645156142273923208335828575972831567410594830608203256631254002719478325184156865091639313174438259704541823055208479317089561852521028107079751717788466690108251580281721457014743321286345433741361892867136672442745642622284659964247672985616477764425395083283028985669336552385295783580231684894682518870280093007275289737086066522942960271317140134512913639509141570628494716223705522130381399605720109327860595376678932109841882125199069727730027978455155680666683154300346752177243187981302850780420711665192893357174683442000136920815559329962307851470275478286489778791890185456213942809621671796136670430795516520740923345653042340560922236809928111897543108593827131587405477048894404587865556054863376295553018774955524359814020979570751690725965973979246154035275046925853509026675185080025709331386923319331705700233677848829908847734606838901966010878933031268636415650190352334703551610300549818914888666376112716171665425503365597804245440377148249914338209416109339413816497794758829058728378378121628239932726971858649430509429689841664186184581638896598737326217943960321956640039788624896149250380662831511305439210969488745184607707787982432803291678329446195340926904945653112237074215404777026559025001398108571160962346738844831007363669438608631523404374013705834728872922783107945889488491843401809818026419203238009891108838947248318104129957925277377476951773185398046951285850930871740333473894746288926776495415363956196655342086498032923553335592346471770119331971776979426010437495502305199539885492347624672240763898072244044104225616669419940786610274202224869889112394709445928383436763687611597747661000519609473182745986031101978774078394507695676711773556259023670245616439900258105213228499450291844849718765766884498356986973756392947448512314620499603610135364140556041414092888242445891423424497872442518866166680765755368727440650058433213181360152126458854210889549712771046363927540604816883139269191734313414512482151906063434537826417083220453401040277528924469289778999277623554950835606462140774251730458141743681655418271693053561552944995845565139363683685418193441806159757324073026958943828264839170797258121804384277607856199516606823456030715131980861619568083778174489705390518263766795463363537699015172001362496667895331149705273744924252533825466623261309429001265349653933927483838193199792168894301105367485819475586783496235884805503528470425192238883538386665090730900677695196307584430289055444981815388599278874961729613818700970169351547395418101831936288435007844651693738411875045703358248789561043086535702771960019534206909580868991867216497302105351181005177506511194386278969721913921285478877859004592404674364917112711952320963489489660967465308679886122840358086707207727359356423177536151480350708812679801977941618}
19389  27458384338825480338699114144675900206242650587216756309230226480877434: {38774,290715,310096,348858,406959,484475,581370,620128,697644,755547,1065515,1278618,1898554,2712220,3073947,3254664,3661497,3874600,3883119,4358925,4649520,4959488,5230710,5579424,5613099,6276852,6533547,7337679,7911339,8009915,8598939,9611898,9628719,9866899,9971547,10314159,10807147,12538031,12721114,12820047,13160859,13591099,14095570,14705299,16498426,16617515,16818139,16914684,17406419,17571759,17909547,18134619,18173020,18289018,18883931,19193146,19931739,19941018,20327167,20608978,20883839,21007570,21275547,21346906,21743195,21807624,21928879,22379131,22970291,23296307,23569180,24320914,24533577,24953199,25144115,25209084,25806547,26091834,26505519,26721919,27216779,27301339,27418780,27568858,27611439,28283016,28461466,28870954,29038810,29658515,30172938,30480394,30495580,30720619,30914799,31326970,31780099,31818393,31914988,32290867,32902536,33024011,33029195,33432747,33589715,33760239,34523547,34761259,34846572,34876732,35290607,35302666,35520139,35590218,36155247,36386915,36594696,36633298,36996539,37015353,37193027,37592364,37705519,37781547,38174170,39225979,39635034,39716051,40046866,40115866,40307658,40712347,41169033,41244220,41565227,41780179,42949419,43290778,43543420,43664298,43672618,44141167,44171195,44317786,44919994,45592840,45809004,46129810,46202266,46519354,46553864,46660091,47396399,47956047,48048899,48068188,48130147,49014447,49140346,49493064,49632499,50316431,50432380,50610898,50789071,51291945,51439659,51580444,52252104,52373097,52385199,52699947,52906714,53005434,53243164,53438266,53600794,53781706,54055067,54319699,54711408,55139311,55169195,55355772,55679697,56147919,56266426,56334979,56409611,56875947,57308380,57312379,57905578,58583506,58783617,58826746,59484079,59685970,59808154,60071315,60189099,60497947,60518856,61156715,61219419,61316479,61550334,61836459,61994812,62280707,62348925,63058810,63067947,63562354,63580047,63863915,64045786,64171420,64574986,64806639,65042371,65449999,66203034,66335019,66382426,66456220,66505520,67350939,67473034,68083713,68465679,68522194,68668840,68770056,68897818,69007468,69042799,69981099,70276091,70384299,70903570,71259292,71375098,71623164,71692507,71892879,72085578,72447368,72641327,73357939,73388058,73946746,74069195,74195547,74393384,74818710,75129359,75491439,75581020,75670572,75712447,75809579,75988779,76104379,76340380,76425964,76636698,76882479,76981659,77005704,77252445,77366313,77467708,77599570,77873199,78294874,79650447,79747464,79770778,79806624,79918115,80126506,80287579,80675951,81416218,81451018,81503289,81505715,81589307,81616047,81975754,82402608,82814671,82888539,82917148,83010731,83026426,83228565,83251324,83282491,83376879,83396794,83692557,84351759,85084284,85227099,85440220,85649212,85969354,86631417,86774315,87070546,87165339,87382031,87594970,87935356,88130859,88777136,88883034,89395115,89715897,89782452,89827727,89830636,89907967,90103816,90163819,90408367,90440915,90691939,90697224,90709036,90885706,91097096,91493980,91608456,92249980,92702934,92760931,92985466,93017679,93049115,93119484,93873579,94146859,94150684,94348239,94443099,94609715,95032499,95262778,95761786,95901738,95928107,96250258,97027725,97145807,97183599,97688794,97806858,97950619,98123919,98593179,98632570,98670346,98812459,99081625,99155499,99178858,99568571,99578831,99874278,99924719,...,431190568786093536768218204547794623466412157121036558094434953785635839698554304129164295444679823496787007578548945894584683903251755074774616417944365706437070823802478005011679807884916698117445670401228747089762093656017978778338683575450874899462314200076037711296193088291033873353839446467734213410884812503742863959247351115892245912304884946881004079217487776235297637458969761657389556812734582812718975634342778781542160619627576682700035162377370422582185522114981929518150612042839300705008664118463933426989946371509478424716646638092624924543478504004828577943675370347527342023778305420139510912934605629099784414440406975710201769370459263712355942742074335558283195572099408580163991790893065018398164762823187798604591595041967682733521000024731450520128265864781971954276170631067497789340035762025163000205381223338994943461777205413217429734668187835278184320914214432507694205005646193274781111385018479563510841383355214892167846314662890740697381108215573341606881798334082295064443329528162433286539721031469356127536088948960968869231052912570388780263540012777620038563997080384978997558550350516773244863271601910258352949016318399546902954623475285528502055327415450824728372332999564169074257498138255048396706368160565722374871507314124164009120724746692138243588092567567182442359899090457787974145764144534762496279276872458344898105989326915940482934960059682937344223875570994247266958158816454233117776911561681973649204937517494169293011390357418479668355611323107165539838537502097162856741443520108267246511045504157912947285106561020558752093309384174661918834232737765102714727039628804857014836663258420872477156194936887916066215427659778097070426928776396307610500210842119433390164743123045934294983013129747049385330003388519707655178997957665469139015656243253457799309828238521437008361145847108366066156338425004129911179915411303337304833668592064168892575155145531417396621491500779414209774118979046652968161117591761543515067660334388535505368424659850387157819842749175437767274578148650326747535480460634589421172768471930749405415203046210834062121139332363668837135136746808663778299250021148633053091160975087649819772040228189688281316334324569156569545891310907225324708903787601470121768723227859095151806739625624830680101560416293386703934668498916435332426253409693211161377595687212615522483127407539580342329417493768347709045525528127290162709239635986109540438415742397258756195887182706576416411784299274910235184046072697971292429352125667261734558085777395650193195045306548522758002043745001842996724557910617386378800738199934891964143501898024480900891225757289799688253341451658051228729213380175244353827208255292705637788358325307579997636096351016542794461376645433583167472723082898918312442594420728051455254027321093127152747904432652511766977540607617812568555037373184341564629803554157940029301310364371303487800824745953158026771507766259766791579418454582870881928218316788506888607011547375669067928481445234234491451197963019829184260537130060811591039034634766304227220526063219019702966912427}
19390  27566584623013320510754580609650356132177101059668216047200166443269692: {58161,213169,271334,329341,387620,465144,523287,542612,775160,872055,930192,1007396,1046466,1371649,1704824,1717789,1917927,1948189,2522929,2847831,3050822,3390275,3438769,4068330,4098596,4339552,4350001,4463581,4803889,4843250,4881996,5143549,5177492,5351222,5809574,5811900,5933569,6038534,6046141,6199360,6720061,6832129,6952934,6974280,7391389,7439232,7484132,7846065,8171329,8369136,8393521,8711396,9058369,9279409,9415278,9783572,9830749,10548452,11037361,11146621,11465252,11582941,11715734,12018109,12126721,12343729,12668701,12815864,12838292,12840374,13295396,13424449,13752212,14390941,14408822,14417847,14818621,15524822,16412161,17093396,17150269,17465521,17547812,17989501,18720049,19081671,19239709,19447069,20170561,21143355,22552912,22581974,22716275,22826929,23429012,23533789,23671334,23879396,24179492,24747639,25335229,25372026,25732381,26029489,26486822,26523229,26575652,26588024,26621761,26818609,27133094,27259530,27433527,27700861,27992774,28188481,28367396,28480189,28577281,28789719,29076832,29461475,29911527,30216829,30408349,30599581,30913467,31511355,31835569,32020359,32711436,32778049,33246589,33270932,33340081,33433501,33524534,33612112,34273475,34363741,34577174,34733821,34789112,34826161,35340692,35353770,35378689,35745601,35837149,36293809,36462854,36481371,36815252,37088822,37505414,37710688,37813626,37922881,38119475,38817841,38906941,39137751,39262621,39786374,39893735,40146781,40230584,40734631,40936369,41128170,41219732,41353287,41459521,41633329,42424524,42664214,42692199,43306431,43355569,43558215,43595915,43870048,44576996,44880961,45013652,45049009,45259407,45467869,45634909,45720591,45743370,46031396,46462096,46726454,46960861,46990455,47043121,47289469,47453624,47780221,47861761,47872482,47933894,47943229,48206996,48349489,48592381,48673201,48753949,48792928,49353804,49717309,50123152,50333222,50353789,50375396,50985661,51326822,51378241,51555275,51846961,52269858,52315098,52316822,52467889,52846712,52953999,53084209,53385327,53390641,53467069,53743544,54227389,54429275,54892044,54949947,55205041,55265222,56388546,56612029,56758621,56824454,56991050,57050941,57123841,57261255,57265892,57559729,57794294,58192330,58219064,58280449,58780669,59452551,59489149,59980801,60070299,60085235,60173799,60461487,60607741,60677041,60746269,60953521,61078672,61434589,61639681,61707901,61866330,62588209,62969222,62990401,63040475,63323581,63391447,63941396,63984541,64115869,64246909,64377661,64442929,64475555,64703281,64768189,64936167,65094211,65284861,65315130,65352596,65496447,65508927,65669341,65798822,65990752,66177949,66476679,66493489,66553955,66932221,67243441,67379991,67491121,68389260,68409661,68470321,68530909,68586212,68713506,68772541,68953009,69151574,69194715,69252349,69303399,69371581,69521222,69549889,69669472,69779031,69830796,69846932,69890294,70022209,70266596,70442822,70673912,70722049,71411521,71635475,71639041,71978161,72102282,72146749,72275222,72759361,72948544,73308721,73549334,73710519,73807696,74065729,74119261,74239596,74703361,74756029,74863892,74965981,74996822,75382429,75485821,75648570,75834596,75916347,76201501,76252081,76255814,76453681,76654129,77150209,77150774,77370666,77493515,77541889,77679994,77784349,77977021,78042134,78120769,78358909,78378156,78840839,78923101,78929894,79339441,79360071,79508151,79613761,79709959,79795201,79814054,79864746,79885489,79990454,80157399,80214275,80252132,80401191,80672559,80691808,80728861,80870294,81290929,81588541,81625892,81798961,82067112,82214401,82255549,82378561,82448612,82824061,83033658,83063389,83070275,83131900,83456509,83488214,83611741,83727409,84090596,84221149,84296029,84399639,84407809,84773396,85028989,85136449,85243261,85489969,85836050,85962570,85972801,86073734,86175409,86242369,86259335,86275741,86408852,86605501,86799901,86858367,86959921,87305629,87367549,87398401,87521089,87702961,87733021,87875259,87911869,88000321,88175281,88240119,88270712,88446692,88489309,88626854,88957489,88964822,88984381,89074115,89091229,89117761,89275441,89430529,89507101,89528955,89532481,89557789,89633281,89712231,89801252,89807222,89904541,89977009,90237181,90375421,90555709,90559210,90774589,90778284,90796081,90838849,90980534,91250689,91287572,91349149,91483969,91502941,91596721,91693408,91814449,91849729,91970941,92038621,92218801,92282161,92325501,92567389,92652061,92665921,92813629,92964829,92991730,92992218,93001009,93161281,93246529,93297469,93308132,93412381,93457201,93508609,93588529,93681661,93756829,93768349,93774001,93785089,93801181,93845569,93845732,93854641,93938269,93941041,93966781,93968689,93972289,93981361,93987841,94476275,94588215,95343531,95425475,95497552,95532455,95857172,96068679,96114104,96257130,96834635,96862479,97270831,97549814,97850744,98836022,98927396,99304551,99573639,99635222,99684330,99758280,...,574920758381458049024290939397059497955216209494715410792579938380847786264739072172219060592906431329049343438065261192779578537669006766366155223925820941916094431736637340015573077179888930823260893868304996119682791541357305037784911433934499865949752266768050281728257451054711831138452595290312284547846416671657151945663134821189661216406513262508005438956650368313730183278626348876519409083646110416958634179123705042056214159503435576933380216503160563442914029486642572690867482723785734273344885491285244569319928495345971232955528850790166566057971338673104770591567160463369789365037740560186014550579474172133045885920542634280269025827279018283141256989432447411044260762799211440218655721190753357864219683764250398139455460055956910311361333366308600693504354486375962605701560841423330385786714349366884000273841631118659924615702940550956572979557583780370912427885619243343592273340861591033041481846691306084681121844473619856223795086217187654263174810954097788809175731112109726752591106037549911048719628041959141503381451931947958492308070550093851707018053350370160051418662773846638663411400467355697659817695469213677803932021757866062537272831300380704669407103220601099637829777332752225432343330851006731195608490880754296499828676418832218678827632995589517658117456756756243256479865453943717298861018859379683328372369163277793197474652435887920643913280079577249792298500761325663022610878421938977490369215415575964865606583356658892390681853809891306224474148430809554053118050002796217142321924693477689662014727338877217263046808748027411669457745845566215891778976983686803619636052838406476019782217677894496636208259915850554754953903546370796093902571701861743480666947789492577853552990830727912393310684172996065847106671184692943540238663943553958852020874991004610399079770984695249344481527796144488088208451233338839881573220548404449739778224789418891856766873527375223195495322001039218946365491972062203957548156789015391353423547112518047340491232879800516210426456998900583689699437531533768996713973947512785894897024629240999207220270728281112082828185776484891782846848995744885037732333361531510737454881300116866426362720304252917708421779099425542092727855081209633766278538383468626829024964303812126869075652834166440906802080555057848938579557998555247109901671212924281548503460916283487363310836543386107123105889991691130278727367370836386883612319514648146053917887656529678341594516243608768555215712399033213646912061430263961723239136167556348979410781036527533590926727075398030344002724993335790662299410547489848505067650933246522618858002530699307867854967676386399584337788602210734971638951173566992471769611007056940850384477767076773330181461801355390392615168860578110889963630777198557749923459227637401940338703094790836203663872576870015689303387476823750091406716497579122086173071405543920039068413819161737983734432994604210702362010355013022388772557939443827842570957755718009184809348729834225423904641926978979321934930617359772245680716173414415454718712846355072302960701417625359603955883236}
19391  27675208231045402899498381738039281911879593558098115122468649041367455: {19391,77548,407001,484525,581430,620192,678265,697716,813918,968950,1162740,1240256,1259245,1395288,1491721,1511094,1569699,2131030,2557236,3797108,4576233,5123245,5424440,6102495,6147894,6471865,6509328,7264875,7322994,7749200,7766238,8026833,8714361,8717850,9057801,9299040,9355165,9918976,9995161,10429401,10461420,10889245,11158848,11213881,11226198,12229465,12553704,12963049,13067094,13185565,13475101,14122917,14331565,14675358,14817673,15080329,15822678,16019830,16047865,16259053,16619245,16772569,17190265,17197878,17573601,19223796,19257438,19260561,19454233,19733798,19943094,20628318,21366745,21613233,21614294,21934765,22317373,22684321,23264521,23287233,23948881,23952541,24090793,24554449,25076062,25442228,25640094,26037049,26202313,26321718,27182198,27737809,28191140,29286265,29410598,29677933,29742841,29849245,30224365,30418753,30440473,31519609,32458429,32996852,33091741,33219565,33235030,33636278,33829368,33872961,34143469,34812838,35046673,35048113,35143518,35201761,35294281,35301529,35459245,35507001,35819094,36269238,36346040,36550921,36578036,37767862,37849261,38058039,38386292,39007321,39730233,39863478,39882036,40654334,40699641,40834813,40889295,41217956,41349073,41521921,41569561,41588665,41707081,41767678,41987209,41989161,42015140,42455089,42551094,42693812,43486390,43615248,43857758,44175865,44757241,44758262,44802973,45940582,46019065,46240873,46592614,46992121,47025601,47138360,48241789,48282313,48641828,48936193,49067154,49122541,49743613,49906398,50286801,50288230,50321689,50418168,50737489,50941681,51524665,51613094,51865761,52183668,53011038,53030655,53233681,53443838,54433558,54528673,54602678,54694281,54837560,55137716,55222878,55633233,55721245,56258121,56267065,56566032,56720439,56922932,57526633,57539245,57741908,57961081,58077620,59317030,59464873,59679561,60258745,60299929,60345876,60596881,60960788,60991160,61441238,61517401,61692255,61829598,61839673,62287201,62653940,62932861,62969245,63078973,63560198,63636786,63829976,63883261,63996321,64314001,64409521,64581734,65235049,65565601,65805072,65863513,66048022,66058390,66865494,67089313,67179430,67520478,68615055,68737681,69047094,69370921,69522518,69607849,69693144,69753464,70089681,70581214,70605332,71040278,71180436,71582365,71808723,71900841,72310494,72501721,72773830,73058569,73060009,73189392,73266596,73704193,73993078,74030706,74386054,75184728,75411038,75499833,75563094,75817501,76348340,76755481,76990233,77236873,78404787,78451958,78472647,78475233,79215169,79270068,79432102,79710109,79926745,80093732,80231732,80615316,80637433,81424694,81690745,82338066,82488440,82897833,82948513,83019373,83130454,83410729,83560358,83716369,84099841,84124969,84582819,84728353,85236681,85486575,85619401,85732765,85848841,85898838,86581556,86691441,87086840,87288495,87308665,87328596,87345236,87799129,87833245,88282334,88342390,88635572,88735609,89125021,89409481,89839988,90244561,90797533,91185680,91188049,91618008,92259620,92404532,92799495,92968921,93038708,93107728,93320182,93579865,94262353,94453833,94792798,94793245,95042461,95912094,95938249,96097798,96136376,96260294,96344281,96742873,97034209,97156081,97972695,98028894,98280692,98698233,98986128,99264998,99578953,99935161,...,862381137572187073536436409095589246932824314242073116188869907571271679397108608258328590889359646993574015157097891789169367806503510149549232835888731412874141647604956010023359615769833396234891340802457494179524187312035957556677367150901749798924628400152075422592386176582067746707678892935468426821769625007485727918494702231784491824609769893762008158434975552470595274917939523314779113625469165625437951268685557563084321239255153365400070324754740845164371044229963859036301224085678601410017328236927866853979892743018956849433293276185249849086957008009657155887350740695054684047556610840279021825869211258199568828880813951420403538740918527424711885484148671116566391144198817160327983581786130036796329525646375597209183190083935365467042000049462901040256531729563943908552341262134995578680071524050326000410762446677989886923554410826434859469336375670556368641828428865015388410011292386549562222770036959127021682766710429784335692629325781481394762216431146683213763596668164590128886659056324866573079442062938712255072177897921937738462105825140777560527080025555240077127994160769957995117100701033546489726543203820516705898032636799093805909246950571057004110654830901649456744665999128338148514996276510096793412736321131444749743014628248328018241449493384276487176185135134364884719798180915575948291528289069524992558553744916689796211978653831880965869920119365874688447751141988494533916317632908466235553823123363947298409875034988338586022780714836959336711222646214331079677075004194325713482887040216534493022091008315825894570213122041117504186618768349323837668465475530205429454079257609714029673326516841744954312389873775832132430855319556194140853857552792615221000421684238866780329486246091868589966026259494098770660006777039415310357995915330938278031312486506915598619656477042874016722291694216732132312676850008259822359830822606674609667337184128337785150310291062834793242983001558828419548237958093305936322235183523087030135320668777071010736849319700774315639685498350875534549156297300653495070960921269178842345536943861498810830406092421668124242278664727337674270273493617327556598500042297266106182321950175299639544080456379376562632668649138313139091782621814450649417807575202940243537446455718190303613479251249661360203120832586773407869336997832870664852506819386422322755191374425231044966254815079160684658834987536695418091051056254580325418479271972219080876831484794517512391774365413152832823568598549820470368092145395942584858704251334523469116171554791300386390090613097045516004087490003685993449115821234772757601476399869783928287003796048961801782451514579599376506682903316102457458426760350488707654416510585411275576716650615159995272192702033085588922753290867166334945446165797836624885188841456102910508054642186254305495808865305023533955081215235625137110074746368683129259607108315880058602620728742606975601649491906316053543015532519533583158836909165741763856436633577013777214023094751338135856962890468468982902395926039658368521074260121623182078069269532608454441052126438039405933824854}
19392  27784256807311969287158436047679144824073585472452366474905086038472953: {96935,116322,213191,251927,368087,426338,542668,658682,775240,872145,930288,1046574,1085224,1140647,1220877,1410287,1453425,1550320,1602647,1744110,1860384,1986767,2014792,2092932,2266641,2743298,3196545,3324887,3409648,3435578,3439127,3477191,3835854,3896378,4047191,4388327,4746385,4804391,5045858,5181791,5695662,5934191,5971727,6101644,6780550,6877538,7205927,7280447,7949687,8136660,8197192,8209247,8679104,8700002,8927162,9059327,9221841,9607778,9686500,9763992,9868487,10287098,10354984,10702444,10984491,11257007,11619148,11620487,11623800,11649357,11867138,12055607,12077068,12092282,12381191,12398720,12597887,12922391,13076775,13102391,13440122,13664258,13905868,13948560,14782778,14878464,14968264,15033647,15565967,15692130,15813767,16342658,16738272,16787042,16836191,16839297,17362391,17422792,17572367,18116738,18235391,18558818,18617927,18756791,18830556,19068767,19276391,19483727,19567144,19600641,19661498,19966391,20172767,20516087,21096904,21200327,21507191,21711407,21847391,22013037,22074722,22220687,22293242,22660607,22829447,22930504,23165882,23431468,23569967,23734017,24029745,24036218,24253442,24687458,25337402,25631728,25676584,25680748,25735247,25796817,26065367,26361791,26526191,26559047,26590792,26657567,26848898,27018191,27504424,27703967,28483391,28612847,28781882,28817644,28835694,28886157,29483327,29600697,29637242,29914641,30220247,30443687,30603047,30942477,31049644,31396847,31802785,31839191,32028287,32421441,32813087,32824322,33250391,33996407,34186792,34300538,34367687,34768607,34830167,34931042,35095624,35238925,35979002,36298007,37115567,37236191,37440098,37614093,37867367,38163342,38460141,38479418,38852087,38894138,39208007,39482577,39886967,40063391,40341122,40356791,40503191,40766207,40773297,40941191,41246065,42273167,42286710,42531791,42932807,44115897,44126447,44549327,44914367,44970407,45054407,45105824,45163948,45333887,45432550,45501191,45640391,45653858,45722545,46305767,46719287,46858024,47067578,47342668,47758792,47982865,48355367,48358984,48786791,49323191,49483487,49495278,49852545,50454417,50670458,50744052,50755487,51332327,51410687,51464762,51522445,51853367,51931247,52058978,52219257,52474391,52500167,52518925,52715277,52973644,53046458,53116391,53151304,53176048,53243522,53346287,53367265,53397287,53473727,53499191,53637218,53728641,53854847,54259391,54266188,54403857,54519060,54787247,54867054,55236887,55401722,55510391,55758191,55851229,55985548,56029847,56376962,56643647,56651793,56734792,56960378,57154562,57228191,57373607,57567047,57579438,58153664,58168247,58922950,59520287,59637647,59795217,59823054,59848391,60198191,60433658,60638687,60777191,60802285,60816698,60981501,61034281,61199162,61579391,61784087,61826934,62394287,62461727,62618807,62651517,63020927,63022710,63065447,63354047,63671138,63826641,64014887,64040718,64146191,64277207,64386167,64473191,64581791,65229585,65314967,65422872,65556098,65786637,66060047,66207887,66397391,66493178,66541864,66628127,66680162,66867002,67049068,67137393,67148927,67224224,67252487,67520807,67644191,68256791,68439167,68546950,68560391,68727482,68842127,68910873,68922145,69154348,69281687,69467642,69578224,69638447,69652322,69888921,70031807,70051391,70344191,70681384,70707540,70757378,70905167,71039567,71153665,71307191,71421407,71491202,71667887,71674298,71705687,71988167,72175487,72177385,72436391,72587618,72597025,72880007,72925708,72962742,73536791,73600731,73630504,74094047,74177644,74766647,74859597,75010828,75393191,75421376,75432345,75496607,75627252,75845762,76161791,76200985,76229327,76238950,76565087,76930727,77419641,77569391,77635682,77795687,77813882,77908247,78052391,78132191,78275502,78317425,78386207,78525242,78669527,78841391,79135967,79366487,79442927,79516557,79572748,79776887,79787470,80165757,80211191,80293562,80433191,80461168,80740967,80929727,81088391,81317447,81388607,81445391,81469262,81530327,81600887,81650337,81872738,81904017,81936791,81992327,82256340,82281791,82439464,82472807,82675727,82706574,82769807,82834317,82876847,82919042,83076167,83266658,83482391,83598887,83624687,83676191,84119329,84121391,84196727,84234287,84246791,84752567,84849048,84910127,84970367,85054367,85233047,85328428,85384398,85503527,85515191,85573391,85642967,85758287,86521247,86553841,86586791,86612862,86652047,86695391,86711138,86749391,86813927,86846087,87111287,87116430,87191830,87288767,87422927,87535391,87740096,87926327,87995207,88189847,88256665,88371791,88504007,88513391,88791191,88891247,88972391,88975545,89008247,89141567,89153992,89316527,89445647,89454191,89581391,89631767,89761922,89822207,89919887,89992391,90027304,90040367,90098018,90260447,90265777,90518814,90571391,90689087,90790391,90935738,90960407,91112207,91166447,91266767,91269818,91404191,91441182,91442807,91486740,91583245,91711127,91830887,91836791,91866191,91872047,91901207,91987487,92062792,92161857,92304167,92381687,92442407,92584391,92673767,92744397,92924192,92945327,92957687,92982191,93100391,93123167,93138191,93171527,93175537,93214967,93315191,93318527,93367607,93424127,93430247,93452908,93475127,93529391,93593807,93606647,93646391,93660767,93695447,93747191,93765407,93805391,93840191,93850007,93873287,93921722,93935687,93957191,93958127,93970391,93980910,93981791,93985847,94003391,94007087,94009607,94010207,94086242,94578938,94907248,95340297,95435425,95455179,95560442,95723522,95744964,95867788,95886458,96413992,96698978,96872601,97184762,97346402,97507898,97585856,98707608,99072033,99087585,99434618,...,1293571706358280610304654613643383870399236471363109674283304861356907519095662912387492886334039470490361022735646837683754051709755265224323849253833097119311212471407434015035039423654750094352337011203686241269286280968053936335016050726352624698386942600228113133888579264873101620061518339403202640232654437511228591877742053347676737736914654840643012237652463328705892912376909284972168670438203748438156926903028336344626481858882730048100105487132111267746556566344945788554451836128517902115025992355391800280969839114528435274149939914277874773630435512014485733831026111042582026071334916260418532738803816887299353243321220927130605308111377791137067828226223006674849586716298225740491975372679195055194494288469563395813774785125903048200563000074194351560384797594345915862828511893202493368020107286075489000616143670016984830385331616239652289204004563505834552962742643297523082615016938579824343334155055438690532524150065644676503538943988672222092143324646720024820645395002246885193329988584487299859619163094408068382608266846882906607693158737711166340790620038332860115691991241154936992675651051550319734589814805730775058847048955198640708863870425856585506165982246352474185116998998692507222772494414765145190119104481697167124614521942372492027362174240076414730764277702701547327079697271373363922437292433604287488837830617375034694317967980747821448804880179048812032671626712982741800874476449362699353330734685045920947614812552482507879034171072255439005066833969321496619515612506291488570224330560324801739533136512473738841855319683061676256279928152523985756502698213295308144181118886414571044509989775262617431468584810663748198646282979334291211280786329188922831500632526358300170494229369137802884949039389241148155990010165559122965536993872996407417046968729760373397929484715564311025083437541325098198469015275012389733539746233910011914501005776192506677725465436594252189864474502338242629322356937139958904483352775284630545202981003165606516105273979551161473459528247526313301823734445950980242606441381903768263518305415792248216245609138632502186363417997091006511405410240425991334897750063445899159273482925262949459316120684569064843949002973707469708637673932721675974126711362804410365306169683577285455420218876874492040304681248880160111804005496749305997278760229079633484132787061637846567449382222618741026988252481305043127136576584381870488127718907958328621315247227191776268587661548119729249235352897824730705552138218093913877288056377001785203674257332186950579585135919645568274006131235005528990173673731852159136402214599804675892430505694073442702673677271869399064760024354974153686187640140525733061481624765878116913365074975922739992908289053049628383384129936300749502418169248696754937327783262184154365762081963279381458243713297957535300932621822853437705665112119553024693889410662473820087903931093113910463402474237859474080314523298779300374738255363748612645784654950365520665821034642127007203785444335702703474353593889059487552781611390182434773117103904298912681661578189657059108900737281}
19393  27893732002545198596329189226187998418385821431828953946247830426032412: {38782,155096,174483,639507,678335,814002,949571,969050,988023,1162860,1240384,1356530,1395432,1569861,1627836,1762943,1937900,2325480,2480512,2518490,2616165,2790576,2983442,3022188,3139398,4114947,4262060,5114472,5153367,5753781,5844567,7172543,7568787,7594216,7627055,8543493,9060611,9152466,10170825,10246490,10316307,10848880,11812463,12108125,12204990,12295788,12943730,13018656,13050003,13097231,13378055,13390743,14132423,14411667,14523935,14529750,14645988,15060407,15096335,15244943,15319967,15430647,15498400,15505127,15532476,16053666,16452383,17121251,17380367,17382335,17428722,17435700,17800707,17822207,18115602,18138423,18459791,18598080,18710330,19822127,19837952,19990322,20064191,20160183,20496387,20858802,20922840,21778490,21992951,22174167,22317696,22427762,22452396,22467011,23108327,23266943,23538195,24066371,24458930,24513987,25107408,25180563,25752227,25926098,26134188,26371130,26447711,26770487,26808743,26950202,27090527,27175107,27838227,28245834,28303223,28663130,29289335,29350716,29492247,29635346,29913443,30160658,30708671,31645356,31724687,31942691,32039660,32095730,32100935,32518106,32781047,33112083,33238490,33439863,33545138,33578351,33747023,34041767,34380530,34395756,34459667,34748823,35147202,35701751,36022055,36054327,36380163,36498191,36984887,37031187,37250447,38006103,38447592,38514876,38521122,38812055,38908466,39169811,39467596,39886188,40273347,41000771,41256636,41558591,41711423,41788943,41991587,42314111,42733490,42998063,43172823,43196543,43226466,43228588,43253541,43651007,43869530,44455863,44634746,45368642,45457031,45643523,46507391,46529042,46574466,47817431,47897762,47905082,48181586,49108898,49127663,49236483,49621247,49642943,50073911,50152124,50595047,50742791,50884456,51280188,51295511,51450807,52074098,52396563,52404626,52643436,53174207,53239223,53968503,54198071,54364396,55475618,55536143,56160147,56382280,56454935,57245013,57719127,58224131,58341207,58572530,58821196,59178335,59187383,59355866,59471087,59485682,59496467,59698490,59962487,60448730,60511683,60837506,60880946,60943811,61481507,61493987,61846211,62425247,62939423,63039218,63430065,63446231,64426691,64916858,65654567,65993704,66125663,66183482,66217055,66439130,66470060,66747587,67272556,67429247,67658736,67745922,67832735,68148825,68286938,68438423,68480787,68763923,69120551,69363527,69364691,69378143,69615107,69625676,69981935,70093346,70096226,70287036,70336727,70403522,70588562,70601367,70603058,70849871,70918490,71014002,71538371,71638188,72007043,72134531,72538476,72692080,72702383,73101842,73156072,74242917,74544023,75535724,75698522,76005687,76116078,76120343,76162451,76206791,76772584,76824467,77095967,77197143,77993927,78009743,78014642,78088467,78097091,78773891,79460466,79569687,79726956,79764072,79865283,80455827,80554943,81288527,81308668,81399282,81669626,81778590,82300581,82435912,82698146,83043842,83102583,83139122,83177330,83414162,83535356,83598407,83811335,83974418,83978322,84030280,84133727,84362243,84565443,84737207,84910178,85102188,85359527,85387624,85440567,85731843,85760327,86343647,86369157,86442935,86453651,86972780,87230496,87449471,87715516,87756191,88156943,88351730,88384425,88744847,89514482,89516524,89605946,89734581,89926691,90650487,90711023,91157135,91225047,91798743,91881164,92038130,92481746,92722055,92740401,93185228,93472583,93617927,93763535,93984242,94051202,94276720,94534065,95506707,96061077,96354467,96483578,96564626,97283656,97421111,97457687,97872386,98134308,98245082,98334147,98551151,98937527,99465935,99487226,99521111,99739767,99767567,99812796,...,1724762275144374147072872818191178493865648628484146232377739815142543358794217216516657181778719293987148030314195783578338735613007020299098465671777462825748283295209912020046719231539666792469782681604914988359048374624071915113354734301803499597849256800304150845184772353164135493415357785870936853643539250014971455836989404463568983649219539787524016316869951104941190549835879046629558227250938331250875902537371115126168642478510306730800140649509481690328742088459927718072602448171357202820034656473855733707959785486037913698866586552370499698173914016019314311774701481390109368095113221680558043651738422516399137657761627902840807077481837054849423770968297342233132782288397634320655967163572260073592659051292751194418366380167870730934084000098925802080513063459127887817104682524269991157360143048100652000821524893355979773847108821652869718938672751341112737283656857730030776820022584773099124445540073918254043365533420859568671385258651562962789524432862293366427527193336329180257773318112649733146158884125877424510144355795843875476924211650281555121054160051110480154255988321539915990234201402067092979453086407641033411796065273598187611818493901142114008221309661803298913489331998256676297029992553020193586825472642262889499486029256496656036482898986768552974352370270268729769439596361831151896583056578139049985117107489833379592423957307663761931739840238731749376895502283976989067832635265816932471107646246727894596819750069976677172045561429673918673422445292428662159354150008388651426965774080433068986044182016631651789140426244082235008373237536698647675336930951060410858908158515219428059346653033683489908624779747551664264861710639112388281707715105585230442000843368477733560658972492183737179932052518988197541320013554078830620715991830661876556062624973013831197239312954085748033444583388433464264625353700016519644719661645213349219334674368256675570300620582125669586485966003117656839096475916186611872644470367046174060270641337554142021473698639401548631279370996701751069098312594601306990141921842538357684691073887722997621660812184843336248484557329454675348540546987234655113197000084594532212364643900350599279088160912758753125265337298276626278183565243628901298835615150405880487074892911436380607226958502499322720406241665173546815738673995665741329705013638772844645510382748850462089932509630158321369317669975073390836182102112509160650836958543944438161753662969589035024783548730826305665647137197099640940736184290791885169717408502669046938232343109582600772780181226194091032008174980007371986898231642469545515202952799739567856574007592097923603564903029159198753013365806632204914916853520700977415308833021170822551153433301230319990544385404066171177845506581734332669890892331595673249770377682912205821016109284372508610991617730610047067910162430471250274220149492737366258519214216631760117205241457485213951203298983812632107086031065039067166317673818331483527712873267154027554428046189502676271713925780936937965804791852079316737042148520243246364156138539065216908882104252876078811867649708}
19394  28003635473843490935771197942407120905406884236357831210177690778951207: {58173,135709,193870,232644,251953,426382,503854,736174,852676,1085336,1179313,1221003,1317364,1453575,1550480,1744290,1860576,2034795,2093148,2170448,2281294,2422375,2441754,2446909,2820574,2906850,3020209,3100640,3134653,3205294,3477553,3488220,3720768,3777735,3973534,4029584,4047613,4185864,4475163,4533282,4709097,5327575,5486596,5859709,5972353,6393090,6644939,6649774,6819296,6871156,6878254,6954382,7671708,7792756,7987633,8094382,8776654,9492770,9608782,10091716,10363582,11294593,11391324,11403709,11868382,11943454,12203288,13561100,13678513,13728699,13755076,14108209,14411854,14560894,15070813,15369735,15815473,15899374,16239409,16273320,16394384,16418494,17294209,17358208,17400004,17818909,17854324,18118654,18307485,18341809,18443682,19215556,19373000,19415595,19527984,19736974,19899709,20002993,20574196,20709968,21339133,21404888,21794625,21968982,22053553,22514014,23238296,23240974,23247600,23298714,23471809,23734276,24080499,24111214,24154136,24184564,24762382,24797440,24875953,25195774,25572733,25844782,26143083,26153550,26204782,26364733,26562013,26880244,27173403,27328516,27348253,27544093,27811736,27897120,27934909,28065495,29390209,29565556,29756928,29936528,29985483,30067294,31131934,31288203,31384260,31627534,32667735,32685316,33476544,33574084,33641643,33672382,33678594,34031293,34680193,34724782,34845584,34957213,35049409,35144734,35601073,36233476,36470782,36688395,36878209,37117636,37235854,37513582,37661112,37871773,38137534,38552782,38889147,38967454,39123709,39134288,39201282,39322996,39556695,39921073,39932782,40009309,40049575,40345534,40425303,40537213,41032174,41758909,41845633,42193808,42368751,42400654,42966493,42994695,43014382,43422814,43694782,44026074,44149444,44329309,44441374,44453019,44523899,44586484,45240987,45321214,45658894,45861008,46331764,46338973,46862936,46917313,47139934,47468034,48059490,48063409,48072436,48143595,48506884,48777159,49334495,49374916,49857735,49995313,50317707,50674804,50788033,51263456,51338653,51353168,51361496,51470494,51570795,51593634,52130734,52506673,52720803,52723582,53052382,53118094,53181584,53199709,53315134,53505853,53697796,53886913,54035735,54036382,55008848,55094209,55407934,55839409,56503933,56943709,56966782,57225694,57563764,57635288,57671388,57744491,57772314,57781683,58362699,58390909,58462513,58966654,59174593,59201394,59274484,59829282,59879473,60440494,60887374,60923293,61198909,61206094,61610173,61814833,61884954,62099288,62690155,62793694,63295873,63561409,63605570,63678382,63825793,64011563,64056574,64100235,64612033,64839699,64842882,65580253,65626174,65648644,65804295,66469309,66500782,66952119,67095709,67176011,67714909,67955495,67992814,68021809,68052963,68373584,68601076,68630209,68690653,68735374,69537214,69660334,69793563,69861699,69862084,70060993,70191248,70353853,70477850,70644913,71336113,71564209,71846643,71847709,71857623,71904193,71958004,72131423,72272379,72596014,72908593,73018753,73526495,73663347,73781809,74231134,74472382,74714171,74880196,74899933,75228186,75734734,75833053,76326684,76592833,76920282,76941853,76958836,77704174,77788276,77919613,78063793,78111147,78416014,78606939,78965154,79054909,79286209,79469953,79773934,80014273,80126782,80682244,80713582,80854909,81006382,81532414,81546594,81879613,81882382,81921409,82129309,82492130,82498993,82902913,83087575,83213427,83299633,83338909,84090695,84147073,84259933,84546334,84573420,84668209,84887233,84995773,85063582,85123199,85528753,85598593,85865614,85875073,86113213,86247709,86546113,87032095,87858795,87980209,88231794,88252894,88271809,88386433,88528093,89033799,89098654,89228523,89235709,89469313,89520433,89547735,89828734,89940814,90108814,90111409,90211648,90327896,90667774,90673095,90682909,90865100,90898909,90983293,91002382,91189213,91256259,91280782,91307716,91321419,91445090,91853233,91888513,91975453,92110813,92611534,92662909,92745853,92878333,92916673,93051709,93098653,93110209,93336253,93385393,93438574,93460273,93664573,93706909,93716048,93733693,93860413,93955633,93977053,93997213,94024753,94030513,94031809,94135156,94419655,94558827,94685336,95517584,95965730,96491003,96710734,96717968,97375287,97573582,98646382,98966974,98990556,99275223,99615131,99658695,99705090,...,2587143412716561220609309227286767740798472942726219348566609722713815038191325824774985772668078940980722045471293675367508103419510530448647698507666194238622424942814868030070078847309500188704674022407372482538572561936107872670032101452705249396773885200456226267777158529746203240123036678806405280465308875022457183755484106695353475473829309681286024475304926657411785824753818569944337340876407496876313853806056672689252963717765460096200210974264222535493113132689891577108903672257035804230051984710783600561939678229056870548299879828555749547260871024028971467662052222085164052142669832520837065477607633774598706486642441854261210616222755582274135656452446013349699173432596451480983950745358390110388988576939126791627549570251806096401126000148388703120769595188691831725657023786404986736040214572150978001232287340033969660770663232479304578408009127011669105925485286595046165230033877159648686668310110877381065048300131289353007077887977344444184286649293440049641290790004493770386659977168974599719238326188816136765216533693765813215386317475422332681581240076665720231383982482309873985351302103100639469179629611461550117694097910397281417727740851713171012331964492704948370233997997385014445544988829530290380238208963394334249229043884744984054724348480152829461528555405403094654159394542746727844874584867208574977675661234750069388635935961495642897609760358097624065343253425965483601748952898725398706661469370091841895229625104965015758068342144510878010133667938642993239031225012582977140448661120649603479066273024947477683710639366123352512559856305047971513005396426590616288362237772829142089019979550525234862937169621327496397292565958668582422561572658377845663001265052716600340988458738275605769898078778482296311980020331118245931073987745992814834093937459520746795858969431128622050166875082650196396938030550024779467079492467820023829002011552385013355450930873188504379728949004676485258644713874279917808966705550569261090405962006331213032210547959102322946919056495052626603647468891901960485212882763807536527036610831584496432491218277265004372726835994182013022810820480851982669795500126891798318546965850525898918632241369138129687898005947414939417275347865443351948253422725608820730612339367154570910840437753748984080609362497760320223608010993498611994557520458159266968265574123275693134898764445237482053976504962610086254273153168763740976255437815916657242630494454383552537175323096239458498470705795649461411104276436187827754576112754003570407348514664373901159170271839291136548012262470011057980347347463704318272804429199609351784861011388146885405347354543738798129520048709948307372375280281051466122963249531756233826730149951845479985816578106099256766768259872601499004836338497393509874655566524368308731524163926558762916487426595915070601865243645706875411330224239106049387778821324947640175807862186227820926804948475718948160629046597558600749476510727497225291569309900731041331642069284254014407570888671405406948707187778118975105563222780364869546234207808597825363323156379314118217801474562}
19395  28113968884695843967006683361085604505011158393588558868403747645555601: {77564,290805,310192,348966,639573,755781,949669,1065845,1104261,1279014,1356670,1628004,1646705,1899142,1938100,1976046,2325720,2344133,2480768,2616435,2713060,2790864,3139722,3255672,3421941,3525886,3662631,3875800,4230861,4360275,4650960,4807941,4961024,5036980,5232330,5581152,5960301,5966884,6044376,6278796,6799923,6858245,8229894,8524120,8588945,9589635,9740945,9974661,10228944,10306734,10317381,10431573,10677877,11507562,11689134,12141573,12614645,13164981,14239155,14345086,14413173,15137574,15188432,15254110,15545373,15795061,16951375,17086986,17193845,17621813,17802573,17915181,18121222,18304932,18324241,18579013,18729277,19376957,20333509,20341650,20492980,20632614,21134869,21617781,21697760,21750005,21841341,22317905,23549861,23624926,23849061,24019445,24216250,24335269,24409980,24580357,24591576,24627741,25717745,25887460,26037312,26100006,26194462,26331797,26756110,26781486,27177981,27309841,27665523,28264846,28823334,29047870,29059500,29184257,29291976,29605461,29667845,30120814,30192670,30230705,30489886,30639934,30861294,30996800,31010254,31064952,31518533,32107332,32904766,32953473,33600305,33771021,34160645,34242502,34760734,34764670,34857444,34861461,34871400,34948071,35601414,35644414,35702341,36166821,36231204,36276846,36558533,36822701,36919582,36956945,37143573,37196160,37420660,37717261,37750453,37793661,38767173,39230325,39307173,39644254,39675904,39901957,39980644,40128382,40320366,40725061,40856645,40992774,41005069,41717604,41845680,41941073,41967605,42635909,43556980,43985902,44348334,44635392,44855524,44904792,44934022,44941309,45100941,45291845,46216654,46397045,46447837,46533886,46697901,47076390,47441301,47835029,48132742,48917860,49027974,49153745,49626421,50054141,50214816,50361126,50430877,50508573,50517891,50804917,51504454,51852196,52087173,52268376,52717101,52742260,52895422,53488397,53540974,53617486,53900404,54181054,54182801,54336877,54350214,54540029,54706173,55186805,55317053,55676454,55733105,55853781,56270373,56491668,56606446,57206301,57326260,57330277,57829173,57914705,57935869,58451181,58578670,58701432,58801923,58984494,59270692,59502661,59760677,59826886,59899173,59968753,60090545,60321316,60518301,60633605,61417342,61548261,61718645,63290712,63343505,63449374,63600981,63885382,64079320,64191460,64201870,64237169,64521573,65036212,65134221,65248733,65470381,65542173,65562094,66039111,66224166,66476980,66662061,66879726,67090276,67122245,67156702,67494046,67981821,68083534,68488341,68761060,68791512,68919334,69497646,70294404,70344061,70709901,71202051,71403502,71714833,71954705,72044110,72089235,72108654,72664229,72760326,72996382,73897373,73969774,74062374,74093105,74500894,75736069,76012206,76895184,77029752,77042244,77205741,77390451,77591761,77624110,77631217,77761757,77816932,78196101,78339622,78744229,78935192,79036909,79085373,79578573,79677141,79772376,79972701,80051213,80546694,80560397,81054573,81976453,82001542,82060805,82513272,82849669,83111901,83117182,83422846,83539649,83577886,83983174,84262133,84628222,84720341,85253821,85450173,85466980,85751345,85838541,85996126,86345646,86393086,86452932,86457176,86507082,86658471,87302014,87327605,87739060,88449981,88802091,88911726,89269492,89743923,89936053,89947505,90366469,90660741,90737284,90914062,91287046,91331061,91809141,92174641,92703877,92827431,93014782,93058084,93148932,93480469,93600245,94190541,94965829,95408355,95517573,95634862,95795524,95810164,96084861,96198545,96363172,97176629,97235345,97264323,97974709,98217796,98255326,98439261,98472966,98843317,99242494,99285886,99751173,...,3880715119074841830913963840930151611197709414089329022849914584070722557286988737162478659002118411471083068206940513051262155129265795672971547761499291357933637414222302045105118270964250283057011033611058723807858842904161809005048152179057874095160827800684339401665737794619304860184555018209607920697963312533685775633226160043030213210743964521929036712957389986117678737130727854916506011314611245314470780709085009033879445576648190144300316461396333803239669699034837365663355508385553706345077977066175400842909517343585305822449819742833624320891306536043457201493078333127746078214004748781255598216411450661898059729963662781391815924334133373411203484678669020024548760148894677221475926118037585165583482865408690187441324355377709144601689000222583054681154392783037747588485535679607480104060321858226467001848431010050954491155994848718956867612013690517503658888227929892569247845050815739473030002465166316071597572450196934029510616831966016666276429973940160074461936185006740655579989965753461899578857489283224205147824800540648719823079476213133499022371860114998580347075973723464810978026953154650959203769444417192325176541146865595922126591611277569756518497946739057422555350996996077521668317483244295435570357313445091501373843565827117476082086522720229244192292833108104641981239091814120091767311877300812862466513491852125104082953903942243464346414640537146436098014880138948225402623429348088098059992204055137762842844437657447523637102513216766317015200501907964489858546837518874465710672991680974405218599409537421216525565959049185028768839784457571957269508094639885924432543356659243713133529969325787852294405754431991244595938848938002873633842358987566768494501897579074900511482688107413408654847118167723444467970030496677368896610981618989222251140906189281120193788454146692933075250312623975294595407045825037169200619238701730035743503017328577520033176396309782756569593423507014727887967070811419876713450058325853891635608943009496819548315821938653484420378584742578939905471203337852940727819324145711304790554916247376744648736827415897506559090253991273019534216230721277974004693250190337697477820448775788848377948362053707194531847008921122409125913021798165027922380134088413231095918509050731856366260656630623476120914043746640480335412016490247917991836280687238900452398361184913539702348146667856223080964757443915129381409729753145611464383156723874985863945741681575328805762984644359187747706058693474192116656414654281741631864169131005355611022771996560851738755407758936704822018393705016586970521021195556477409206643799414027677291517082220328108021031815608197194280073064922461058562920421577199184444874297634350740095224927768219978724867159148885150152389808902248507254507746090264811983349786552463097286245889838144374731139893872605902797865468560313116995336358659074081668231987421460263711793279341731390207422713578422240943569896337901124214766091245837937353964851096561997463103926381021611356333007108110423060781667178462658344834170547304319351311712896738044984734568971177326702211843}
19396  28224733905006321940172614777711953841862503907435817094246505291748956: {96955,116346,271418,329443,387740,445579,465288,503906,523449,852764,1007708,1472348,1705352,1918521,2035005,2063923,2170672,2358626,2422625,2442006,2634728,2638483,2848713,2907150,2964069,3100960,3391325,3488580,3721152,4069590,4186296,4340896,4464979,4562588,4578523,4709583,4844750,4883508,4893818,4918723,5288829,5641148,5813700,6040418,6048043,6201280,6269306,6296225,6410588,6834283,6955106,6976440,7281979,7441536,7458605,7555470,7848495,7947068,8059168,8095226,8371728,8507203,8950326,9061243,9066564,9418194,10493323,10655150,10973192,11150179,11259403,11719418,11944706,12130603,12239179,12344841,12672763,12780979,12786180,13289878,13299548,13638592,13742312,13756508,13908764,15036883,15343416,15460101,15585512,15887923,15975266,16188764,17261343,17533701,17553308,17576179,18099979,18985540,19217564,20183432,20280283,20727164,21204979,21517629,22589186,22706361,22782648,22807418,22881165,23137963,23642323,23736764,23843563,23886908,24406576,25343683,25616225,25630479,25840123,26630683,26729179,27122200,27181833,27357026,27457398,27510152,27807883,28216418,28586923,28683979,28823708,29121788,29554243,30141626,30512475,30739470,30948921,31467283,31630946,31798748,32035579,32359325,32478818,32546640,32788768,32836988,32883163,33351523,33444979,34468243,34588418,34716416,34800008,34838179,35437389,35637818,35708648,35757979,35849563,36237308,36324375,36614970,36683618,36887364,37936123,38025979,38384683,38431112,38746000,38831190,38920579,39055968,39150009,39276403,39291693,39473948,39799418,40005986,40134165,40172229,41038243,41148392,41419936,41648083,42397269,42678266,42809776,43235001,43571805,43589250,43797283,43937964,44107106,44136979,44981179,45028028,45181221,45289005,45734829,45959901,46150963,46291941,46316923,46476592,46481948,46495200,46515381,46597428,46775825,46943618,47060179,47468552,47879179,47960683,48160998,48222428,48308272,48369128,48690979,48771763,49357149,49524764,49594880,49751906,49975805,50391548,51145466,51363753,51397243,51689564,51866179,51944083,52141101,52147005,52286166,52307100,52409564,52564723,52729466,53104003,53124026,53402121,53410579,53466621,53487043,53760488,54247723,54346806,54415269,54446225,54657032,54696506,55088186,55379373,55623472,55794240,55869818,56069405,56130990,56780179,57145579,57581683,58780418,58874443,59131112,59466381,59513856,59873056,59970966,60134588,60192573,60480549,60700579,60769843,61147325,61489161,61731979,61800163,62263868,62576406,62768520,63015163,63081979,63255068,64468483,64793923,64815245,65335470,65370632,65927825,65978853,66522501,66583123,66953088,67148168,67208443,67283286,67344764,67357188,67375505,67401033,67887979,68062586,68437483,68498179,68558803,68800579,68860843,69068293,69324981,69360386,69449564,69691168,69800829,69914426,70098818,70289468,70614585,70809163,71202146,71657825,71725579,72064483,72199113,72466952,72941564,73339603,73376790,73394179,73541961,73720123,73756418,74088365,74150683,74235272,74471708,74787883,75027164,75322224,75401645,75466483,75541689,75569803,75650029,75743546,76275068,76284979,76587163,77105564,77256681,77575723,77778294,77934908,78202843,78247418,78268576,78402564,78645992,78723979,79113390,79190179,79343133,79603603,79830763,79842146,79865564,79921123,80018618,80099150,80239325,80311461,80426229,80589643,80691068,80850606,81074426,81271581,81295265,81525321,82064348,82293163,82416283,82862179,82902283,83096225,83101723,83514681,83517818,83650579,83691266,83862845,84387616,84737502,84779179,84801308,84909669,85283683,85808563,85932986,85951325,85979923,85989390,86028764,86047963,86216803,86317243,86549083,86679979,86845628,86874163,87389564,87441163,87766217,87776179,87868005,88043803,88052148,88073179,88218979,88298888,88476741,88658618,88882748,88906038,89029123,89047798,89162683,89172968,89215603,89346643,89577979,89603323,89678923,89740329,90481974,90513043,90642428,90735163,90843523,90992203,91317788,91551643,91570579,91722016,91863763,91916683,92126013,92284963,92425579,92486203,92646979,92663528,92677946,92703283,92717179,92839003,92979979,93213979,93257323,93309883,93360643,93465979,93510979,93519763,93642883,93725872,93736483,93775579,93806179,93829363,93834626,93856723,93887179,93997843,94000579,94025923,94046443,94050763,94279868,94936068,95137693,95174061,95828073,95911013,96118980,96126818,96144872,96287190,96302805,97013768,97271165,97554318,98343141,98668990,98749832,99336249,99715470,99990626,...,5174286825433122441218618454573535481596945885452438697133219445427630076382651649549971545336157881961444090942587350735016206839021060897295397015332388477244849885629736060140157694619000377409348044814744965077145123872215745340064202905410498793547770400912452535554317059492406480246073357612810560930617750044914367510968213390706950947658619362572048950609853314823571649507637139888674681752814993752627707612113345378505927435530920192400421948528445070986226265379783154217807344514071608460103969421567201123879356458113741096599759657111499094521742048057942935324104444170328104285339665041674130955215267549197412973284883708522421232445511164548271312904892026699398346865192902961967901490716780220777977153878253583255099140503612192802252000296777406241539190377383663451314047572809973472080429144301956002464574680067939321541326464958609156816018254023338211850970573190092330460067754319297373336620221754762130096600262578706014155775954688888368573298586880099282581580008987540773319954337949199438476652377632273530433067387531626430772634950844665363162480153331440462767964964619747970702604206201278938359259222923100235388195820794562835455481703426342024663928985409896740467995994770028891089977659060580760476417926788668498458087769489968109448696960305658923057110810806189308318789085493455689749169734417149955351322469500138777271871922991285795219520716195248130686506851930967203497905797450797413322938740183683790459250209930031516136684289021756020267335877285986478062450025165954280897322241299206958132546049894955367421278732246705025119712610095943026010792853181232576724475545658284178039959101050469725874339242654992794585131917337164845123145316755691326002530105433200681976917476551211539796157556964592623960040662236491862147975491985629668187874919041493591717938862257244100333750165300392793876061100049558934158984935640047658004023104770026710901861746377008759457898009352970517289427748559835617933411101138522180811924012662426064421095918204645893838112990105253207294937783803920970425765527615073054073221663168992864982436554530008745453671988364026045621640961703965339591000253783596637093931701051797837264482738276259375796011894829878834550695730886703896506845451217641461224678734309141821680875507497968161218724995520640447216021986997223989115040916318533936531148246551386269797528890474964107953009925220172508546306337527481952510875631833314485260988908767105074350646192478916996941411591298922822208552872375655509152225508007140814697029328747802318340543678582273096024524940022115960694694927408636545608858399218703569722022776293770810694709087477596259040097419896614744750560562102932245926499063512467653460299903690959971633156212198513533536519745202998009672676994787019749311133048736617463048327853117525832974853191830141203730487291413750822660448478212098775557642649895280351615724372455641853609896951437896321258093195117201498953021454994450583138619801462082663284138568508028815141777342810813897414375556237950211126445560729739092468415617195650726646312758628236435602949124}
19397  28335932211118617748898707778176306178036990921163182198152661900523933: {155128,174519,407127,484675,581610,620384,697932,755859,1065955,1259635,1279146,1492183,1511562,1840435,1899338,2131690,2208522,2305387,2558028,2713340,2770339,3256008,3293410,3537939,3663009,3798284,3876200,3952092,4360725,4651440,4688266,4961536,5232870,5426120,5581728,5703235,6104385,6279444,6511344,6843882,7051435,7051772,7267125,7325262,7340727,7751600,8013235,8461722,8720550,9060627,9301920,9403959,9601543,9615882,9922048,9933835,10073960,10432659,10464660,11162304,11271139,11333205,11920602,11933768,12024523,12088752,12142839,12557592,13425489,13599846,13637323,13716490,14127291,14238103,15447067,15982725,16459788,16624435,17048240,17177890,17195635,17385955,17579127,17660503,17917059,18231019,19179270,19481890,19934817,19949322,20033803,20235955,20457888,20581363,20613468,20634762,20825779,20863146,21355754,21656599,21941635,23015124,23305963,23378268,23731925,23956339,23962899,24021955,24071383,24283146,25229290,25908955,25921243,26329962,26904823,28147783,28478310,28690172,28826346,29008243,29306923,29670955,29858635,30275148,30376864,30450007,30508220,31090746,31245067,31529443,31590122,32406379,32617699,33037699,33627223,33883779,33902750,34173972,34211127,34387690,35057587,35243626,35305303,35605146,35830362,36004843,36029635,36242444,36402235,36562339,36609864,36648482,37011907,37158026,37208443,37458554,37501843,37818583,38753914,39748435,40667018,40683300,40985960,41035539,41046235,41186097,41265228,41534983,42134083,42269738,42322987,42324627,42867523,43205539,43235562,43395520,43500010,43682682,43986979,44191099,44635810,44771179,45212439,45296635,46109205,47006839,47040427,47099722,47249852,47416087,47446419,47698122,47824903,48038890,48256483,48432500,48670538,48712123,48718227,48819960,49160714,49183152,49255482,49342435,50672203,51435490,51739723,51774920,51882627,52074624,52200012,52388924,52663594,52986883,53456727,53512220,53562972,54355962,54545707,54619682,54922455,55025427,55301563,55331046,56285035,56433043,56487787,56529692,56532307,57199303,57646668,58095740,58102435,58119000,58246785,58368514,58583952,58754647,59210922,59335690,59699127,60008979,60241628,60278035,60385340,60461410,60615787,60877699,60956503,60979772,61279868,61722588,61905955,61993600,62020508,62129904,62989435,63037066,63408583,63882103,64017399,64214664,64243867,64429783,64611955,64889323,64955863,65374699,65383875,65511955,65586019,65668339,65809532,65906946,66160659,66493603,67200610,67542042,68321290,68485004,68815243,69521468,69529340,69714888,69722922,69742800,69896142,70305283,70415427,71202828,71288828,71404682,71794483,71970883,72022039,72241497,72333642,72462408,72524299,72553692,72624187,73081363,73083043,73117066,73645402,73774087,73839164,73913890,74287146,74392320,74627859,74841320,75160567,75168235,75434522,75500906,75587322,76404763,76593043,76718199,77112139,77261527,77534346,77769883,77829835,78010339,78026347,78412483,78429249,78460650,78614346,79068835,79094199,79288508,79351808,79686039,79803914,79961288,80256764,80640732,80709463,81080587,81450122,81520209,81713290,81985548,82010138,82044759,82632279,83045299,83435208,83691360,83804727,83882146,83935210,84126763,84180955,84196485,84270919,84445363,84887047,85144459,85271818,85875907,86406103,86811955,86910199,87113960,87333259,87467683,87861835,87971804,88170627,88680907,88696668,89270784,89711048,89766199,89809584,89868044,89882618,89956449,90201882,90583690,91176955,91375003,91495063,91615063,92433308,92794090,92895674,92998039,93067772,93089635,93367843,93395802,93783955,93864609,93971143,94152780,94605979,94882602,95072347,95343835,95670058,96265484,96381955,97186903,97418635,97835720,98003205,98055948,98307490,99252842,99541987,99831955,...,7761430238149683661827927681860303222395418828178658045699829168141445114573977474324957318004236822942166136413881026102524310258531591345943095522998582715867274828444604090210236541928500566114022067222117447615717685808323618010096304358115748190321655601368678803331475589238609720369110036419215841395926625067371551266452320086060426421487929043858073425914779972235357474261455709833012022629222490628941561418170018067758891153296380288600632922792667606479339398069674731326711016771107412690155954132350801685819034687170611644899639485667248641782613072086914402986156666255492156428009497562511196432822901323796119459927325562783631848668266746822406969357338040049097520297789354442951852236075170331166965730817380374882648710755418289203378000445166109362308785566075495176971071359214960208120643716452934003696862020101908982311989697437913735224027381035007317776455859785138495690101631478946060004930332632143195144900393868059021233663932033332552859947880320148923872370013481311159979931506923799157714978566448410295649601081297439646158952426266998044743720229997160694151947446929621956053906309301918407538888834384650353082293731191844253183222555139513036995893478114845110701993992155043336634966488590871140714626890183002747687131654234952164173045440458488384585666216209283962478183628240183534623754601625724933026983704250208165907807884486928692829281074292872196029760277896450805246858696176196119984408110275525685688875314895047274205026433532634030401003815928979717093675037748931421345983361948810437198819074842433051131918098370057537679568915143914539016189279771848865086713318487426267059938651575704588811508863982489191877697876005747267684717975133536989003795158149801022965376214826817309694236335446888935940060993354737793221963237978444502281812378562240387576908293385866150500625247950589190814091650074338401238477403460071487006034657155040066352792619565513139186847014029455775934141622839753426900116651707783271217886018993639096631643877306968840757169485157879810942406675705881455638648291422609581109832494753489297473654831795013118180507982546039068432461442555948009386500380675394955640897551577696755896724107414389063694017842244818251826043596330055844760268176826462191837018101463712732521313261246952241828087493280960670824032980495835983672561374477800904796722369827079404696293335712446161929514887830258762819459506291222928766313447749971727891483363150657611525969288718375495412117386948384233312829308563483263728338262010711222045543993121703477510815517873409644036787410033173941042042391112954818413287598828055354583034164440656216042063631216394388560146129844922117125840843154398368889748595268701480190449855536439957449734318297770300304779617804497014509015492180529623966699573104926194572491779676288749462279787745211805595730937120626233990672717318148163336463974842920527423586558683462780414845427156844481887139792675802248429532182491675874707929702193123994926207852762043222712666014216220846121563334356925316689668341094608638702623425793476089969469137942354653404423686}
19398  28447565485840708355288403640688418305656801610593571858635420565886471: {135737,193910,213257,232692,329477,368201,542836,658886,775480,872415,891158,930576,1007812,1046898,1526201,1705528,1718501,1872197,1918719,2015416,2102501,2267343,2523977,2677001,2849007,2868101,2944696,3197535,3211577,3312783,3391675,3410704,3440201,3668537,3837042,4070010,4127846,4341344,4616837,4717252,4747855,4845250,4884012,4919237,4940115,5269456,5276966,5296517,5697426,5814300,5928138,5936057,6048677,6201920,6610697,6782650,6977160,6984377,7032399,7394501,7442304,7543397,7849305,7952201,8139180,8323001,8372592,8681792,8814715,8929958,9062201,9125176,9157046,9209657,9419166,9430601,9689500,9767016,9787636,9837446,10265823,10442047,10577658,10987893,11282296,11296997,11627400,12023237,12080836,12096086,12402560,12538612,12592450,12692583,12821176,13080825,13430201,13573817,13668566,13910212,13952880,14182757,14423823,14563958,14883072,14917210,15074057,15110940,15696990,15889637,15894136,15925001,16118336,16190452,16242917,16313477,16743456,17014406,17297957,17368037,17473097,17880903,17892617,17900652,18122486,18133128,18345797,18728201,18836388,18936377,19593701,19904057,19972937,20076197,20282501,20399769,20574735,20625701,20986646,21310300,21514277,21616457,21946384,22126277,22300358,22329701,22518806,22668101,23140517,23174201,23438836,23544197,23879717,23889412,24261206,24478358,24689682,25345526,25346501,25561958,25572360,25644617,25766835,25843001,26173001,26579756,26599096,26633657,26666501,27277184,27484624,27513016,27811001,27817528,28006217,28590137,28622501,28768905,29074757,29222835,29589701,29923983,30073766,30686832,30740837,30920202,30952143,31171024,31294719,31502501,31692197,31775846,31950532,32033631,32377528,32416697,32918201,33074501,33261797,33355337,33728777,34008101,34472201,34522686,34749797,34965257,35067402,35106616,35152358,35395001,35862715,36036677,36199958,36310601,36424719,36947237,37843935,37940537,37971080,38135275,38419001,38435128,39043877,39494943,40077497,40165637,40366864,40371017,40458917,40560566,40955657,41043077,41454328,41768777,41913317,42409958,42717465,43035258,43239519,44480837,45070601,45178372,45182537,45303055,45412722,45565296,45614836,45656837,45762330,45768101,46017977,46275926,46350137,46636119,46983557,47175497,47284646,47385183,47473528,47558201,47687126,47773816,48075077,48804617,48813152,49688357,49848101,50246201,50687366,50854125,51232450,51260958,51403577,51429701,51581535,51586277,51680246,51950501,52571237,52597001,52751417,52865439,53136197,53212937,53261366,53407719,53458358,53493701,53519177,53745543,54244400,54279737,54363666,54481337,54714052,54914796,54972723,55020304,55157957,55531337,55615766,55737039,55779257,55853477,56125001,56187831,56432836,56640677,56958137,57173846,57249977,57322757,57367958,57589001,57647416,57733817,58130871,58243576,58310201,58405817,58905701,59024201,59062315,59108486,59236997,59824697,60283252,60540625,60800777,60985097,61000527,61024950,61478940,61671737,61830917,61897842,62148101,62486201,62620937,62710601,62844857,62934566,63023417,63045701,63157001,63261892,63356837,63404607,63597496,63952457,64071158,64477001,64498757,64718650,64853343,64888997,64957636,65093280,65250015,65319557,65486155,65524023,65577536,65673976,65766326,66424037,66487097,66529097,66703046,66889958,66890275,66953715,67113737,67238201,67527497,67733177,68467001,68588297,68648837,68936486,69176836,69369701,69432832,69600016,69667001,69676358,69966127,70649583,70662115,70664357,70874778,71126501,71222201,71275636,71393957,71417296,71515958,71527097,71547183,71678777,71699126,71867657,72058335,72074501,72093257,72466697,72474616,72619675,72648750,72707717,73005807,73229940,73349897,73367236,73741071,73774728,73883223,75130697,75302035,75477257,75481675,75580601,75854777,75872246,76051958,76224715,76245317,76598201,76599835,76614917,76769366,76862224,76914437,77013701,77153235,77194937,77492000,77525635,77587001,77603237,77651897,77662380,77829701,77841158,77990501,78086597,78111936,78166457,78214277,78300018,78468101,78497167,78552806,78583386,78704201,78876197,78922937,78947896,78995391,79031717,79340357,79598836,80011972,80247077,80268330,80291657,80344458,80879177,81038501,81124997,81339977,81533943,81904457,81929523,81974117,82076486,82154297,82261915,82296784,82319417,82360517,82510601,82839872,82928357,82996569,83114501,83167397,83296166,83715077,83779337,84273701,84323717,84460601,84510137,84794538,84829001,85082597,85130501,85356532,85438757,85544201,85606255,85619552,85833701,85993637,86073017,86275337,86297657,86470002,86497097,86573957,86661317,86769797,86888201,86901835,86911675,87143610,87153701,87178500,87362501,87424517,87465701,87552771,87594566,87619001,87760457,87875928,88009157,88214212,88273958,88300997,88548101,88816383,88835657,88863077,89003535,89044037,89053001,89111035,89186501,89491001,89567717,89626937,89752517,89962358,89998277,90056056,90070601,90142277,90236837,90362442,90578010,90692115,90741343,90758201,90837797,90859337,90930617,91015097,91413701,91452677,91469658,91472057,91548857,91661897,91886117,91919802,91933157,92144057,92193701,92298955,92301926,92432201,92537957,92583882,92633846,92720357,92725001,92860601,92882501,92921417,92953184,92963896,92990400,93009701,93030762,93050501,93086537,93133577,93152837,93164297,93194856,93317177,93331001,93378377,93496037,93537701,93540617,93551650,93580601,93591737,93621701,93637637,93671177,93722501,93743417,93770297,93808457,93842117,93859001,93875237,93887236,93926201,93939557,93975737,93998777,94016777,94027337,94029797,94035257,94045001,94047497,94058057,94065701,94065977,94068101,94070117,94070201,94120358,94325707,94555599,94937104,95758358,95921366,96321996,96444856,96616544,96738256,97381958,97543526,98714298,98860419,99049528,99110635,99189760,99503812,99951610,...,11642145357224525492741891522790454833593128242267987068549743752212167671860966211487435977006355234413249204620821539153786465387797387018914643284497874073800912242666906135315354812892750849171033100833176171423576528712485427015144456537173622285482483402053018204997213383857914580553665054628823762093889937601057326899678480129090639632231893565787110138872169958353036211392183564749518033943833735943412342127255027101638336729944570432900949384189001409719009097104512096990066525156661119035233931198526202528728552030755917467349459228500872962673919608130371604479234999383238234642014246343766794649234351985694179189890988344175447773002400120233610454036007060073646280446684031664427778354112755496750448596226070562323973066133127433805067000667749164043463178349113242765456607038822440312180965574679401005545293030152863473467984546156870602836041071552510976664683789677707743535152447218419090007395498948214792717350590802088531850495898049998829289921820480223385808555020221966739969897260385698736572467849672615443474401621946159469238428639400497067115580344995741041227921170394432934080859463952877611308333251576975529623440596787766379774833832709269555493840217172267666052990988232565004952449732886306711071940335274504121530697481352428246259568160687732576878499324313925943717275442360275301935631902438587399540475556375312248861711826730393039243921611439308294044640416844676207870288044264294179976612165413288528533312972342570911307539650298951045601505723893469575640512556623397132018975042923215655798228612263649576697877147555086306519353372715871808524283919657773297630069977731139400589907977363556883217263295973733787816546814008620901527076962700305483505692737224701534448064322240225964541354503170333403910091490032106689832944856967666753422718567843360581365362440078799225750937871925883786221137475111507601857716105190107230509051985732560099529188929348269708780270521044183663901212434259630140350174977561674906826829028490458644947465815960453261135754227736819716413610013558822183457972437133914371664748742130233946210482247692519677270761973819058602648692163833922014079750571013092433461346327366545133845086161121583595541026763367227377739065394495083767140402265239693287755527152195569098781969891870428362742131239921441006236049470743753975508842061716701357195083554740619107044440003568669242894272331745388144229189259436834393149470171624957591837225044725986417288953933077563243118176080422576349969243962845224895592507393016066833068315989682555216266223276810114466055181115049760911563063586669432227619931398242083031874551246660984324063095446824591582840219194767383175688761264731597553334622892903052220285674783304659936174601477446655450457169426706745521763523238270794435950049359657389291858737669514433124193419681617817708393596405680939350986009075977222245004695962264380791135379838025194170622268140735266722830709689013703372644298273737513812061894553289685992389311779143064834068999021324331269182345001535387975034502511641912958053935138690214134954203706913531980106635529}
19399  28559635418469603937396455280701135176387826048579562250647928555253976: {290865,310256,349038,678545,814254,969350,988329,1163220,1240768,1259765,1336737,1395864,1492337,1511718,1570347,1763489,2131910,2519270,2558292,2576609,2984366,3023124,3274037,3680870,3798676,4263380,4417044,4610774,5116056,5426680,5540678,5755563,5896565,6105015,6191769,6512016,6586820,7075878,7267875,7326018,7596568,7752400,7904184,7915449,7984529,8546139,8721450,8892207,9302880,9376532,9872009,9923072,10173975,10465740,10852240,11163456,11218529,11406470,12111875,12208770,12234545,12558888,13022688,13320437,13394937,13687764,13735569,13907369,14102870,14103544,14128749,14534250,14650524,14681454,14756169,15101045,15503200,15673265,15866487,16026470,16779521,16826849,16923444,17264369,17387765,17441100,18121254,18144129,18603840,18807918,18888675,19120337,19203086,19231764,19844096,19867670,20147920,20238065,20502849,20744309,20865318,20929320,21845937,22324608,22375815,22390721,22542278,22666410,23274209,23545485,23841204,23867536,23962469,24049046,24073889,24177504,24285678,24323429,24340337,25115184,25521609,26047841,26637875,26850978,27183729,27199692,27274646,27432980,28254582,28312037,28330337,28476206,28970801,29298545,29431721,29755169,29861765,30718289,30736529,30894134,31479969,31796609,31952657,31965450,32919576,33211937,33224695,33248870,33450537,33630737,33778209,34096480,34157621,34282469,34355780,34391270,34771910,35158254,35316161,35321006,35712869,35834118,36272537,36391809,36462038,36717537,37034523,37262069,37864949,38018289,38241137,38342937,38358540,38963780,39023489,39182009,39869634,39898644,39938165,40067606,40088177,40471910,40915776,41162726,41226936,41269524,41366249,41539337,41651558,41724449,41726292,41802089,42711508,43210037,43313198,43562357,43883270,44694689,45110649,45657737,46030248,46380303,46611926,46756536,47238761,47463850,47663769,47910761,47912678,47925798,48043910,48142766,48302369,48566292,49365977,50441489,50458580,50963129,51784029,51817910,51842486,52099589,52601103,52659924,52728537,53255849,53809646,54214949,54299937,54442961,55553537,55571609,55647809,56226329,56295566,56472965,56956620,57018545,57030389,57380344,57464729,57550529,57652692,58016486,58613846,59341910,59717270,60324977,60550296,60753728,60840849,60900014,60962849,61016440,61500689,62181492,62490134,63058886,63133409,63180244,63415289,63465989,63614937,64436537,64552887,64812758,64896089,65076161,65235398,66075398,67254446,67767558,67805500,68119083,68347944,68392565,68422254,68643495,68775380,68785337,69079409,69399809,69413889,70115174,70487252,70541045,70610606,70622057,70926969,71210292,71530689,71560649,71660724,71801969,72009686,72029537,72059270,72484888,72523361,72804470,73124678,73219728,73296964,73396049,73734809,74023814,74316052,74416886,74567237,74917108,75003686,75354065,75637166,76031049,76144289,76186169,76848675,76891437,77507828,77520161,77520369,77608037,78121457,78420677,78583349,78799049,79077365,79248521,79496870,79892049,80187537,80329289,80480069,80670929,81168209,81197045,81334036,81343409,81366600,81545499,81674057,81971920,82071078,82092470,82372194,82530456,82982969,83069966,83423649,83445377,84160001,84268166,84389249,84539476,84645974,84649254,85153337,85386521,85735046,85760769,86023781,86051937,86370869,86411078,86471045,86471124,86668337,86791040,86919281,87000020,87365364,87476789,87637481,87973958,88185209,88382198,88564649,88662729,88772561,89094545,89271620,89542358,90424878,90456737,90593270,90791489,91537425,91709045,91716737,92194037,92218410,92809121,92846763,93184409,93212657,93499937,94013678,94080854,94195769,94199444,94401849,94499704,94832174,94892838,95396244,95649806,96077780,96106737,96512966,96865000,97077975,97341076,97424246,97436454,97639920,98321428,98366304,98510964,98649489,98684870,98959109,99498545,...,15522860476299367323655855363720606444790837656357316091399658336282890229147954948649914636008473645884332272827762052205048620517063182691886191045997165431734549656889208180420473083857001132228044134444234895231435371616647236020192608716231496380643311202737357606662951178477219440738220072838431682791853250134743102532904640172120852842975858087716146851829559944470714948522911419666024045258444981257883122836340036135517782306592760577201265845585335212958678796139349462653422033542214825380311908264701603371638069374341223289799278971334497283565226144173828805972313332510984312856018995125022392865645802647592238919854651125567263697336533493644813938714676080098195040595578708885903704472150340662333931461634760749765297421510836578406756000890332218724617571132150990353942142718429920416241287432905868007393724040203817964623979394875827470448054762070014635552911719570276991380203262957892120009860665264286390289800787736118042467327864066665105719895760640297847744740026962622319959863013847598315429957132896820591299202162594879292317904852533996089487440459994321388303894893859243912107812618603836815077777668769300706164587462383688506366445110279026073991786956229690221403987984310086673269932977181742281429253780366005495374263308469904328346090880916976769171332432418567924956367256480367069247509203251449866053967408500416331815615768973857385658562148585744392059520555792901610493717392352392239968816220551051371377750629790094548410052867065268060802007631857959434187350075497862842691966723897620874397638149684866102263836196740115075359137830287829078032378559543697730173426636974852534119877303151409177623017727964978383755395752011494535369435950267073978007590316299602045930752429653634619388472670893777871880121986709475586443926475956889004563624757124480775153816586771732301001250495901178381628183300148676802476954806920142974012069314310080132705585239131026278373694028058911551868283245679506853800233303415566542435772037987278193263287754613937681514338970315759621884813351411762911277296582845219162219664989506978594947309663590026236361015965092078136864922885111896018773000761350789911281795103155393511793448214828778127388035684489636503652087192660111689520536353652924383674036202927425465042626522493904483656174986561921341648065960991671967345122748955601809593444739654158809392586671424892323859029775660517525638919012582445857532626895499943455782966726301315223051938577436750990824234773896768466625658617126966527456676524021422444091087986243406955021631035746819288073574820066347882084084782225909636826575197656110709166068328881312432084127262432788777120292259689844234251681686308796737779497190537402960380899711072879914899468636595540600609559235608994029018030984361059247933399146209852389144983559352577498924559575490423611191461874241252467981345434636296326672927949685841054847173117366925560829690854313688963774279585351604496859064364983351749415859404386247989852415705524086445425332028432441692243126668713850633379336682189217277405246851586952179938938275884709306808847372}
19400  28672143704816191112917197904928717025242267443145466111813328594884964: {252031,271474,368239,387820,426514,465384,523557,658954,736402,1085672,1221381,1295311,1317772,1454025,1550960,1744830,1782316,1861152,2015624,2093796,2267577,2447671,2906599,3052402,3135631,3197865,3411056,3437002,3478639,3706951,3744394,3778905,3837438,4030832,4205002,4476549,4534686,4748345,5047954,5329225,5354002,5521305,5698014,5736202,5889392,5974231,6311839,6395070,6423154,6625566,6646997,6648799,6783350,6821408,6880402,6916161,7337074,7674084,7990159,8140020,8233525,8255692,8311017,8682688,9210631,9233674,9434504,9495710,9690500,9768024,9838474,9880230,10202719,10538912,10553932,10593034,10613817,10989027,11394852,11407351,11516431,11628600,11720665,11856276,11872114,12060751,12097354,12340601,12403840,13082175,13221394,13251919,13565300,13790479,13954320,13968754,14064798,14789002,14884608,15086794,15698610,15904402,15926719,16244671,16278360,16350511,16646002,16745184,16773151,16984039,17109705,17363584,17629430,17824711,17859916,18124402,18250352,18313155,18314092,18419314,18764959,18838332,18861202,18973111,19379000,19534032,19575272,19674892,19906231,20009551,20531646,20884094,21154305,21155316,21346159,21801375,21856999,21975786,22022181,22366039,22564592,22593994,23176759,23254800,23580391,24039705,24046474,24161672,24192172,24805120,25077224,25184900,25385166,25581271,25642352,25680559,26161650,26373559,26669479,26860402,27147634,27181881,27337132,27651199,27820424,27905760,28211877,28365514,28625719,28804629,28847646,29127916,29496631,29766144,29801505,29834420,29977951,30148114,30221880,30744319,31297977,31316071,31393980,31695799,31779274,31788272,31850002,32168839,32236672,32380904,32485834,32626954,32640079,33486912,33763711,33813417,33999615,34028812,34042999,34291225,34595914,34736074,34784599,34946194,34969279,35061511,35761806,35785234,35801304,36071311,36073569,36244972,36266256,36428517,36691594,36981751,37253479,37456402,37672776,37872754,39187402,39226351,39808114,39945874,40023391,40152394,40276467,40375759,40565002,40639279,40799538,40911969,41149470,41251402,41338831,41860471,41973292,42381873,42551959,42620600,42714309,42944725,43028554,43067551,43232914,43892768,44252554,44514319,44600716,44659402,44683159,45037612,45187951,45336202,45773599,46023511,46281034,46341201,46348402,46438591,46877672,46934311,47088394,47759434,47778824,47948175,48522412,48567991,48704725,48956716,49379364,49454239,49694431,49873305,50013679,50093311,50207801,50691052,50693002,51123916,51144720,51289234,51436039,51533670,51586905,51686002,52060711,52157865,52346002,52603519,52737381,52981509,53159512,53198192,53267314,53296231,53333002,53389385,53525839,53678551,53751177,54554368,54693057,54969248,55026032,55189831,55622002,55635056,55637599,55786279,56012434,56156719,56672311,57038431,57180274,57245002,57537810,57765271,58149514,58445670,58484911,58556479,59179402,59197351,59804451,59847966,60101409,60147532,60322279,60531151,60707865,61373664,61481674,61744089,61840404,61904286,61907071,62178799,62342048,62477337,62589438,62651551,62853079,63005002,63053959,63073225,63384394,63387319,63424277,63551692,63850999,63901064,64067262,64507279,64755056,64833394,64969797,65220871,65349679,65824905,65836402,66149002,66523594,66710674,67185031,67457554,67557199,68016202,68110591,68293759,68718631,68944402,69045372,69499594,69917889,69930514,70134804,70213232,70304716,70790002,71195775,71536999,71707639,71725430,71869017,71888697,71934151,71990599,72065865,72073354,72103279,72214149,72399916,72551119,72621202,72717871,72849438,72994351,73104439,73650559,73894474,74082271,75687870,75881074,75916831,75942160,76270550,76273159,76625959,76676071,76838002,76870256,77024839,77614519,77726865,77763729,78001879,78087754,78975305,78989886,79824271,80154994,80331274,80714469,80733728,80742034,80917834,80934871,81065119,81121132,81366511,81494599,81911314,81958711,82042159,82086154,82536799,82687241,82780231,82908656,82981111,83180191,83338159,83377471,83537554,83728039,83826634,84148591,84299359,84336871,84443349,84597439,84708031,84756875,84819916,84854479,84963559,85107991,85434930,85464031,85569439,85812871,85969225,86070516,86154511,86479038,86521999,86620711,86751319,86945071,87024729,87104551,87633319,87920769,88023631,88053151,88109065,88572199,88767751,88961674,89012865,89067919,89148271,89411431,89514679,89565871,89575905,89767759,89965039,90013639,90085999,90141202,90181471,90356744,90365074,90606110,90752071,90825444,90967711,91072831,91130592,91229672,91257511,91313674,91350021,91494679,91524660,91533199,91536202,91621205,91680617,91721479,92035954,92042239,92093431,92177311,92210359,92275591,92509951,92551852,92554879,92700274,92742079,92797231,92895065,92942959,92981191,93043471,93067879,93115831,93162631,93208279,93272238,93285391,93429031,93486271,93513919,93558559,93601399,93646385,93658351,93689311,93735201,93761671,93768511,93795151,93879319,93967114,93994519,94018711,94082431,94083439,94085239,94088479,94089559,94350994,94569292,94588329,94770366,94947056,95116402,95374252,95547632,96150154,96884785,97219137,97609234,97626304,97853097,98926961,99113097,99376714,99696202,...,23284290714449050985483783045580909667186256484535974137099487504424335343721932422974871954012710468826498409241643078307572930775594774037829286568995748147601824485333812270630709625785501698342066201666352342847153057424970854030288913074347244570964966804106036409994426767715829161107330109257647524187779875202114653799356960258181279264463787131574220277744339916706072422784367129499036067887667471886824684254510054203276673459889140865801898768378002819438018194209024193980133050313322238070467862397052405057457104061511834934698918457001745925347839216260743208958469998766476469284028492687533589298468703971388358379781976688350895546004800240467220908072014120147292560893368063328855556708225510993500897192452141124647946132266254867610134001335498328086926356698226485530913214077644880624361931149358802011090586060305726946935969092313741205672082143105021953329367579355415487070304894436838180014790997896429585434701181604177063700991796099997658579843640960446771617110040443933479939794520771397473144935699345230886948803243892318938476857278800994134231160689991482082455842340788865868161718927905755222616666503153951059246881193575532759549667665418539110987680434344535332105981976465130009904899465772613422143880670549008243061394962704856492519136321375465153756998648627851887434550884720550603871263804877174799080951112750624497723423653460786078487843222878616588089280833689352415740576088528588359953224330826577057066625944685141822615079300597902091203011447786939151281025113246794264037950085846431311596457224527299153395754295110172613038706745431743617048567839315546595260139955462278801179815954727113766434526591947467575633093628017241803054153925400610967011385474449403068896128644480451929082709006340666807820182980064213379665889713935333506845437135686721162730724880157598451501875743851767572442274950223015203715432210380214461018103971465120199058377858696539417560541042088367327802424868519260280700349955123349813653658056980917289894931631920906522271508455473639432827220027117644366915944874267828743329497484260467892420964495385039354541523947638117205297384327667844028159501142026184866922692654733090267690172322243167191082053526734454755478130788990167534280804530479386575511054304391138197563939783740856725484262479842882012472098941487507951017684123433402714390167109481238214088880007137338485788544663490776288458378518873668786298940343249915183674450089451972834577907866155126486236352160845152699938487925690449791185014786032133666136631979365110432532446553620228932110362230099521823126127173338864455239862796484166063749102493321968648126190893649183165680438389534766351377522529463195106669245785806104440571349566609319872349202954893310900914338853413491043527046476541588871900098719314778583717475339028866248386839363235635416787192811361878701972018151954444490009391924528761582270759676050388341244536281470533445661419378027406745288596547475027624123789106579371984778623558286129668137998042648662538364690003070775950069005023283825916107870277380428269908407413827063960213271058}
19401  28785092047230170594122947765386810153670992644017190196126948622801633: {407211,484775,581730,620512,639771,698076,949963,988431,1104603,1357090,1628508,1647215,1763671,1938700,1976658,2227895,2326440,2344859,2481536,2519530,2617245,2673474,2791728,2984674,3023436,3140694,3526978,3622751,4263820,4578603,5038540,5116584,5153218,5155503,5616591,5756157,5968732,6046248,6307503,6548074,6802029,7361740,7571931,7597352,8031003,8255191,8526760,8547021,8604303,8834088,9221548,9592605,9634731,9938349,10175025,10232112,10319615,10320603,10853360,11005611,11081356,11511126,11793130,12113125,12210030,12383538,13024032,13173640,13192415,13850511,14151756,14243565,14535750,14652036,14757711,14820345,15088139,15193136,15504800,15808368,15830898,15889551,15969058,16956625,17092278,17128363,17442900,17784414,17808171,18146031,18605760,18753064,18895679,19744018,19830343,19832091,19846144,20347950,20931480,20953131,21097197,21141463,21430079,21704480,21942571,22174951,22183503,22324895,22326912,22437058,22630191,22812940,22892615,23547915,23856603,24223750,24342871,24417540,24469090,24593615,24969003,25117776,26045376,26215883,26444145,26640874,26781583,26789874,27186603,27233711,27375528,27471138,27628971,27752219,27814738,28205740,28207088,28257498,28291803,28333291,29068500,29301048,29362908,29512338,29693303,30202090,30240215,30797469,31006400,31326141,31346530,31481125,31732974,32052940,32475239,32963679,33559042,33653698,33846888,33890991,34171415,34528738,34775530,34782943,34882200,36069711,36242508,36288258,36409895,36513319,37207680,37293025,37615836,37762231,37777350,37826459,38077749,38240674,38406172,38463528,39242475,39250471,39484583,39688192,39735340,39740759,39914383,40290603,40295840,40476130,40721451,41005698,41017963,41488618,41730636,41806471,41858640,42536015,42548271,43271469,43691874,44649216,44751630,44781442,45084556,45194071,45222171,45306215,45332820,46428623,46514573,46548418,46689119,47090970,47668911,47682408,47735072,47775003,47850011,47924938,48078791,48098092,48147778,48355008,48571356,48646858,48680674,48728751,48940431,49099391,50230368,51043218,51893871,52095682,52104111,52419291,52466615,52842779,53275750,53642709,53677851,53701956,54367458,54399384,54549292,54865960,55037391,55173739,55750895,55913431,56150279,56184603,56297015,56499551,56509164,56579039,56624074,56660674,56809131,56952412,57941602,57953911,58597090,58781103,58863442,59510338,59521243,59712171,59723530,59918811,60228591,60316703,60653015,60847503,61195895,61199307,61436578,61473058,61519531,61724205,61788268,61877103,62959938,63111743,63363815,63593218,63904895,63905314,63930900,64542831,64849371,65269259,65839152,66378831,66423874,66449390,66497740,66507551,66901074,66989103,67261474,67556418,68004303,68192960,68315242,68564938,68711560,68782540,69149263,69421551,69522603,69543820,70316508,70632322,70632591,70642012,71425738,71639151,71668236,72530923,72545074,72783618,72924076,73435074,73789451,73920671,73926863,74069046,74524138,75153419,75184415,75729898,76036578,76039503,76152271,76482274,76685874,76717080,76933851,77300505,77529003,77927560,78046978,78364018,78519003,78768751,79062151,79439615,79739268,79751519,79797288,79825963,79876330,79900971,79999503,80135212,80176354,80943820,81305279,81831552,82325452,82453872,82539048,82732498,82866379,83078674,83303116,83433003,83448898,83452584,83462431,83604178,84018651,85423016,85489991,85770411,85795951,85867503,86306715,86420074,86489563,86626396,86909111,87124714,87224271,87646639,87668505,87766540,87880895,88769103,89389378,89771949,89884619,89964139,90220063,90221298,90394663,90499895,90844703,91315474,92060496,92222511,92328731,92760606,92856429,93223852,93509671,93513072,93657343,93884157,94311323,94477522,94507503,94927700,95076591,95327538,95749591,95821522,95825356,95851596,96087820,96100893,96285532,96604738,97052971,97084619,97132584,97250091,98731954,98754603,98757463,99223503,99642059,99785391,...,34926436071673576478225674568371364500779384726803961205649231256636503015582898634462307931019065703239747613862464617461359396163392161056743929853493622221402736728000718405946064438678252547513099302499528514270729586137456281045433369611520866856447450206159054614991640151573743741660995163886471286281669812803171980699035440387271918896695680697361330416616509875059108634176550694248554101831501207830237026381765081304915010189833711298702848152567004229157027291313536290970199575469983357105701793595578607586185656092267752402048377685502618888021758824391114813437704998149714703926042739031300383947703055957082537569672965032526343319007200360700831362108021180220938841340052094993283335062338266490251345788678211686971919198399382301415201002003247492130389535047339728296369821116467320936542896724038203016635879090458590420403953638470611808508123214657532929994051369033123230605457341655257270022186496844644378152051772406265595551487694149996487869765461440670157425665060665900219909691781157096209717403549017846330423204865838478407715285918201491201346741034987223123683763511183298802242578391858632833924999754730926588870321790363299139324501498127808666481520651516802998158972964697695014857349198658920133215821005823512364592092444057284738778704482063197730635497972941777831151826327080825905806895707315762198621426669125936746585135480191179117731764834317924882133921250534028623610864132792882539929836496239865585599938917027712733922618950896853136804517171680408726921537669870191396056925128769646967394685836790948730093631442665258919558060118147615425572851758973319892890209933193418201769723932090670649651789887921201363449640442025862704581230888100916450517078211674104603344192966720677893624063509511000211730274470096320069498834570903000260268155703530081744096087320236397677252813615777651358663412425334522805573148315570321691527155957197680298587566788044809126340811563132550991703637302778890421050524932685024720480487085471375934842397447881359783407262683210459149240830040676466550373917311401743114994246226390701838631446743077559031812285921457175807946076491501766042239251713039277300384038982099635401535258483364750786623080290101682133217196183485251301421206795719079863266581456586707296345909675611285088226393719764323018708148412231261926526526185150104071585250664221857321133320010706007728682816995236164432687567778310503179448410514874872775511675134177959251866861799232689729354528241267729049907731888535674686777522179048200499204947969047665648798669830430343398165543345149282734689190760008296682859794194726249095623653739982952972189286340473774748520657584302149527066283794194792660003868678709156660857024349913979808523804432339966351371508280120236565290569714812383307850148078972167875576213008543299372580259044853453125180789217042818052958027227931666735014087886793142373406139514075582511866804422205800168492129067041110117932894821212541436185683659869057977167935337429194502206997063972993807547035004606163925103507534925738874161805416070642404862611120740595940319906587}
19402  28898482154625089630422268132489734958543186178442517300319545283197406: {213301,445717,504062,542948,561817,736478,775640,853028,872595,930768,1047114,1317908,1472804,1603477,1949401,2035635,2171344,2179657,2423375,2442762,2590622,2635544,2908050,2964987,3101920,3489660,3564632,3669301,3722304,3779295,4010211,4031248,4187592,4477011,4535154,4579957,4711041,4895342,5033557,5290467,5329775,5373001,5813198,6104804,6271262,6298175,6395730,6647683,6822112,6874004,6957278,7396057,7413902,7460915,7488788,7557810,7619401,7674876,7729827,8061664,8398837,8410004,8953098,9069372,9202175,9285301,9496690,9506197,9822111,10095908,10606357,10658450,10708004,11042610,11262997,11396028,11472404,11526935,11778784,11948462,12243097,12351637,12623678,12785077,12790140,12846308,13109401,13251132,13293994,13297598,13566700,13642816,13760804,13832322,13851695,14674148,15041737,15348168,15980318,15999157,16280040,16317001,16408931,16467050,16511384,16622034,17266689,17365376,17371801,17689695,18315045,18421262,18467348,18575307,18869008,18940501,18991420,19252297,19381000,19459801,19536048,19676948,19760460,19977301,20405438,21006901,21077824,21107864,21186068,21227634,21803625,21978054,22789704,22814702,22842037,23032862,23246677,23257200,23441330,23712552,23744228,23746347,23953587,24121502,24194708,24553801,24681202,24807680,25638417,26164350,26442788,26503838,26541001,26676621,26738137,26836597,27033301,27130600,27580958,27908640,27937508,28129596,28516175,28693657,28790677,29578004,29616027,29769216,30173588,30429001,30521925,30620377,31397220,31808804,31853438,32046517,32489342,32556720,32701022,33292004,33456457,33490368,33546302,33655587,33736501,33968078,34219410,34727168,35257175,35258860,35649422,35719832,35861977,36045001,36248804,36335625,36500704,36501301,36626310,36628184,36703635,36838628,37529918,37676664,37722404,37946222,38039257,38487637,38758000,39068064,39150544,39349784,39467737,39812462,39961311,40019102,40066175,40184811,40527001,41063292,41140117,41206707,41662837,41722107,41768188,42308610,42310632,42386247,42692318,42700501,43386517,43557301,43602750,43713998,43951572,44044362,44268507,44732078,45081397,45129184,45187988,45249301,45303135,45500617,45667801,45834697,46353518,46509600,47019795,47160782,47599461,47978137,48007715,48079410,48092948,48323344,48384344,48789577,49610240,49669175,49753801,50154448,50311477,50338563,50369800,50480547,50770332,51162542,51284704,51361118,51793107,51963337,52163295,52323300,52747118,53123797,53338958,53507017,53720804,54295268,54363762,54432387,54674264,55302398,55640848,55811520,56355695,56423754,56666025,56731028,56801737,57251438,57361011,57609258,57695292,57748501,58255832,58325077,58825801,58993262,59532288,59535001,59603010,59668840,59675977,59886901,59955902,60122615,60296228,60443760,60714195,60793417,61482457,61488638,61508547,61619401,61824277,62232927,62435017,62595954,62632142,62787960,63106777,63173557,63391598,63558548,63576544,63700004,64166617,64297801,64337678,64428697,64473344,64624501,64761808,64971668,65253908,65280158,65465497,65537811,66546901,66672757,66973824,67127445,67172163,67297717,67527422,67626834,67999230,68057624,68085998,68186615,68526037,68582450,68586697,68888917,69129397,69191828,69428377,69472148,69569198,69822627,69892388,69938558,70123022,70636455,71190515,71523612,71570468,71602608,71887407,72142622,72147138,72221667,72489944,72532512,72765001,72857034,72930997,72970287,73021011,73383188,73425097,73963502,74506958,74745139,74912804,75186901,75345552,75550537,75745508,76216501,76469401,76564827,76620277,77069017,77235335,77609557,77706901,78045337,78143523,78189301,78374804,78452702,78758677,79271497,79501717,79616228,79684597,79891748,79913625,79956757,80046782,80271001,80304788,80552934,80751518,81062857,81130004,81278558,81450037,81551187,81599076,81662617,81823938,82298940,82502804,82535797,82677662,82900297,82940437,83122175,83533897,83720942,83805301,83946584,84375001,84763746,84855637,84936111,84991011,85037257,85103918,85241200,85428618,85465801,85641301,85883977,85889450,85978175,86055157,86057108,86135102,86258197,86325301,86465828,86819401,86912403,86929775,87234517,87453001,87606901,87785536,87895635,88116697,88262677,88295163,88302515,88492501,88505108,88965577,89028638,89201432,89260597,89265507,89318804,89366318,89585295,89648857,90075224,90117397,90375902,90582517,90672404,90694297,90804277,90933877,91155095,91246537,91485001,91547198,91619317,91948501,91983637,92047022,92154867,92209587,92476117,92491417,92562068,92682402,92696804,92698057,92768437,92877182,93031957,93044377,93093337,93573577,93633301,93697237,93755344,93867337,93868622,93879001,93895957,93957301,93966517,93979801,94051801,94057417,94060117,94086901,94176788,94439907,95389827,95518868,95557648,95857971,95896350,97044824,97135982,97409450,97913432,98758728,98908478,99388862,99635811,99674085,99746610,...,46568581428898101970967566091161819334372512969071948274198975008848670687443864845949743908025420937652996818483286156615145861551189548075658573137991496295203648970667624541261419251571003396684132403332704685694306114849941708060577826148694489141929933608212072819988853535431658322214660218515295048375559750404229307598713920516362558528927574263148440555488679833412144845568734258998072135775334943773649368509020108406553346919778281731603797536756005638876036388418048387960266100626644476140935724794104810114914208123023669869397836914003491850695678432521486417916939997532952938568056985375067178596937407942776716759563953376701791092009600480934441816144028240294585121786736126657711113416451021987001794384904282249295892264532509735220268002670996656173852713396452971061826428155289761248723862298717604022181172120611453893871938184627482411344164286210043906658735158710830974140609788873676360029581995792859170869402363208354127401983592199995317159687281920893543234220080887866959879589041542794946289871398690461773897606487784637876953714557601988268462321379982964164911684681577731736323437855811510445233333006307902118493762387151065519099335330837078221975360868689070664211963952930260019809798931545226844287761341098016486122789925409712985038272642750930307513997297255703774869101769441101207742527609754349598161902225501248995446847306921572156975686445757233176178561667378704831481152177057176719906448661653154114133251889370283645230158601195804182406022895573878302562050226493588528075900171692862623192914449054598306791508590220345226077413490863487234097135678631093190520279910924557602359631909454227532869053183894935151266187256034483606108307850801221934022770948898806137792257288960903858165418012681333615640365960128426759331779427870667013690874271373442325461449760315196903003751487703535144884549900446030407430864420760428922036207942930240398116755717393078835121082084176734655604849737038520561400699910246699627307316113961834579789863263841813044543016910947278865654440054235288733831889748535657486658994968520935784841928990770078709083047895276234410594768655335688056319002284052369733845385309466180535380344644486334382164107053468909510956261577980335068561609060958773151022108608782276395127879567481713450968524959685764024944197882975015902035368246866805428780334218962476428177760014274676971577089326981552576916757037747337572597880686499830367348900178903945669155815732310252972472704321690305399876975851380899582370029572064267332273263958730220865064893107240457864220724460199043646252254346677728910479725592968332127498204986643937296252381787298366331360876779069532702755045058926390213338491571612208881142699133218639744698405909786621801828677706826982087054092953083177743800197438629557167434950678057732496773678726471270833574385622723757403944036303908888980018783849057523164541519352100776682489072562941066891322838756054813490577193094950055248247578213158743969557247116572259336275996085297325076729380006141551900138010046567651832215740554760856539816814827654127920426542116}
19403  29012315742503469596243086047927289617503699835444787242972657569023095: {19403,678685,756093,814422,969550,1066285,1104717,1163460,1241024,1279542,1396152,1570671,1647385,1841005,1899926,1976862,2209206,2306101,2345101,2714180,2771197,3119053,3257016,3294430,3527342,3664143,3877400,3885933,3953316,4048957,4281433,4362075,4455790,4652880,4689718,4963072,5039060,5234490,5346948,5583456,5969348,6046872,6281388,6802731,7053956,7245502,7343013,7631005,8527640,8592505,8719797,9157206,9360985,9406893,9593595,10077080,10233168,10306436,10311006,10435917,10512505,11120853,11233182,11336715,11512314,11937464,12092496,12547117,12615006,12619885,13096148,13385005,13429647,13604058,14245035,14340505,14447461,14723480,15143862,15194704,15513157,15987675,16057885,16062006,16510382,16563915,16958375,17053520,17094042,17201005,17208606,17419033,17629117,17668176,17831437,17922693,18342685,18443096,18469381,18935517,19185210,19269462,19876698,19940991,19946397,20350050,20464224,20639230,20641206,20748483,20898973,21706720,21854437,22004341,22011222,22162712,22331257,22986937,23022252,23084185,23586260,23739275,23970477,24226250,24420060,24596185,24700575,24767076,24933051,25326457,26048064,26347280,26384830,26482585,27104557,27631893,27701022,28303512,28487130,29071500,29304072,29515422,29640690,29680285,30176278,30243385,30386272,30437677,30608157,31009600,31254853,31531597,31616736,31661796,31741117,31779102,31807561,31841451,31938116,32049661,32798077,32967081,33053485,33595741,33913250,34059397,34184556,34222053,34256726,34431061,34549293,34885800,34921885,35069917,35161995,35568828,35616342,36182253,36292062,36573757,36972505,37021803,37023433,37211520,37506128,37716985,37791358,37830397,38249101,39246525,39488036,39660686,39664182,39692288,39755757,39761005,40695900,40860217,41371437,41580181,41615005,41862960,41906262,41958457,42194394,42282926,42336301,42481501,42653581,42860158,43408960,43885142,44073575,44349902,44367006,44519101,44649790,44653824,44703997,44830921,44874116,45260382,45311005,45625880,45785230,46048285,47095830,47153005,47430853,47713206,47780157,47839981,48271597,48271801,48447500,48685742,48727321,48734013,48835080,48938180,48966637,49051533,49187230,49630597,49938006,50074933,50235552,50319453,50952117,50973853,51329115,52090752,52210235,52431766,52848301,52888290,53281748,53474133,53563166,53579748,54373206,54467422,54562741,54751056,54939465,54942276,55257942,55504438,55629476,56294877,56411480,56414176,56450617,56484985,56505433,56514996,56550013,56583606,56666582,56919333,56999701,57731977,57997237,58026553,58137000,58446901,58602096,58725816,58889317,59024676,59386606,59550421,59718693,59785501,60028653,60116185,60404180,60480430,60741061,61594938,62012800,62361337,62450557,62652282,62693060,62962250,63146557,63428701,63462915,63465948,64038477,64105880,64950478,65276101,65404125,65570997,65688997,65904637,65927358,66066543,66866137,67098117,67118084,67151005,67307396,67464277,67693776,67781982,67869085,68342830,69057476,69530277,69551060,69565886,69764400,70327177,70741173,70913785,72119115,72139422,72485016,72576516,72646933,72819790,73026638,73453261,73797133,74415360,74578201,74586050,75183973,75231672,75370285,75524462,75554700,75652918,76155498,76246381,76424653,76428601,76481348,76743813,76812344,76927056,77041677,77136397,78051253,78484950,78500942,78599833,78815821,78969166,79120677,79265197,79376384,79448185,79470680,79481518,79625005,79828766,80008437,80084917,80581206,80591680,80593861,80734597,80952260,81214585,81330757,81442902,81545643,81567385,82011396,82035926,82624141,82953597,82977236,83461272,83612942,83641837,83717280,84635631,84755533,84914221,85072030,85096542,85674253,85877157,86413887,86489785,86542938,86840185,86918173,87360793,87365485,87383748,87446557,87791437,87801781,88489893,88709341,88817677,89180617,89298432,89404515,89463085,89466853,89503260,89562884,89933853,90169112,90301717,90388142,90444342,90612430,90665640,90810397,91728985,92232957,92857246,93019501,93029146,93096836,93378238,93641005,93893931,93948213,94181940,94681885,95087397,95337822,95364816,95470144,95547637,95550006,95700022,95849876,96088057,96157582,96196184,96295556,96506517,96710016,96803221,97142712,97293716,97361348,97457502,97508317,97880862,97920237,97968505,98198782,98256253,99520285,99573301,99652597,99819397,99864685,...,69852872143347152956451349136742729001558769453607922411298462513273006031165797268924615862038131406479495227724929234922718792326784322113487859706987244442805473456001436811892128877356505095026198604999057028541459172274912562090866739223041733712894900412318109229983280303147487483321990327772942572563339625606343961398070880774543837793391361394722660833233019750118217268353101388497108203663002415660474052763530162609830020379667422597405696305134008458314054582627072581940399150939966714211403587191157215172371312184535504804096755371005237776043517648782229626875409996299429407852085478062600767895406111914165075139345930065052686638014400721401662724216042360441877682680104189986566670124676532980502691577356423373943838396798764602830402004006494984260779070094679456592739642232934641873085793448076406033271758180917180840807907276941223617016246429315065859988102738066246461210914683310514540044372993689288756304103544812531191102975388299992975739530922881340314851330121331800439819383562314192419434807098035692660846409731676956815430571836402982402693482069974446247367527022366597604485156783717265667849999509461853177740643580726598278649002996255617332963041303033605996317945929395390029714698397317840266431642011647024729184184888114569477557408964126395461270995945883555662303652654161651811613791414631524397242853338251873493170270960382358235463529668635849764267842501068057247221728265585765079859672992479731171199877834055425467845237901793706273609034343360817453843075339740382792113850257539293934789371673581897460187262885330517839116120236295230851145703517946639785780419866386836403539447864181341299303579775842402726899280884051725409162461776201832901034156423348209206688385933441355787248127019022000423460548940192640138997669141806000520536311407060163488192174640472795354505627231555302717326824850669045611146296631140643383054311914395360597175133576089618252681623126265101983407274605557780842101049865370049440960974170942751869684794895762719566814525366420918298481660081352933100747834622803486229988492452781403677262893486155118063624571842914351615892152983003532084478503426078554600768077964199270803070516966729501573246160580203364266434392366970502602842413591438159726533162913173414592691819351222570176452787439528646037416296824462523853053052370300208143170501328443714642266640021412015457365633990472328865375135556621006358896821029749745551023350268355918503733723598465379458709056482535458099815463777071349373555044358096400998409895938095331297597339660860686796331086690298565469378381520016593365719588389452498191247307479965905944378572680947549497041315168604299054132567588389585320007737357418313321714048699827959617047608864679932702743016560240473130581139429624766615700296157944335751152426017086598745160518089706906250361578434085636105916054455863333470028175773586284746812279028151165023733608844411600336984258134082220235865789642425082872371367319738115954335870674858389004413994127945987615094070009212327850207015069851477748323610832141284809725222241481191880639813174}
19404  29126594532982029083285854850388226012457725504865742038518068085171694: {252083,329579,426602,445763,600563,891434,1008124,1085896,1123634,1221633,1372643,1454325,1472956,1551280,1706056,1745190,1861536,1919313,1988003,2094228,2524763,2635816,2639579,2849889,2945608,2965293,3206954,3212579,3313809,3326963,3392725,3669683,3707723,3783779,3898802,4071270,4277363,4342688,4359314,4618283,4846750,4885524,4941645,5034083,5181244,5271088,5291013,5411243,5816100,5929974,6050579,6203840,6298825,6313163,6683685,6725003,6979320,6986579,7034577,7098563,7129264,7338602,7444608,7461685,7558590,7851735,8020422,8062496,8177363,8375184,8658779,8817445,8954022,9070308,9159914,9212579,9286283,9422082,9790684,10067114,10445281,10580934,10659550,10746002,10868253,11300603,11409779,11591579,11626396,11845763,12135779,12209608,12389123,12542524,12596350,12605963,12791460,12883045,12930683,13295366,13644224,13685843,13735809,13748008,13865123,13914556,14651579,14792114,14827804,14921830,14977576,15078923,15115620,15238802,15256643,15349752,15459654,15466509,16000883,16123328,16137709,16318763,16354043,16370185,16424579,16797674,16820008,16847123,16849773,17268471,17478779,17583803,17898443,17906196,18003179,18138744,18247283,18404350,18570602,18922509,18977243,18993380,19012394,19289003,19392373,19496483,19644222,19979483,20013923,20082779,20186003,20191816,20406087,20426579,21009203,21043403,21212714,21316900,21350843,21416008,21521363,21623579,21725723,22065683,22085220,22235363,22525994,22715793,22792056,22944808,23053870,23148179,23249243,23557568,23652779,23896924,23988179,24093009,24486194,24556523,24703274,24765573,25247356,25570154,25580280,25586963,25641063,25653179,25692616,25752443,25812909,25983779,26218802,26502264,26543963,26576843,26587988,26595196,26741123,27133400,27232763,27285632,27521608,27664644,27703390,27722603,27950579,28437779,28696883,28777815,28826243,28904193,29348296,29406779,29482825,29567579,29815047,30048779,30083474,30432443,30464363,30525075,30696336,30846779,30958845,30961809,31323179,31960636,31998314,32050163,32176163,32560080,32634002,32817862,32934100,33016833,33022768,33244068,33366779,33460283,33771443,34391363,34533378,34607579,34730752,34743602,34854203,34977323,35069579,35223179,35379390,35621603,35774483,36079643,36140579,36339375,36505523,36535883,36630090,36842524,36934696,37150614,37738016,37881002,37982840,38043683,38163443,38402579,38504594,38762000,38849579,38919602,39057563,39072096,39146579,39294779,39353896,39501923,39520920,39577245,39922645,39954602,40091603,40179779,40385243,40473179,40561043,40707323,40810876,40970123,41057579,41144963,41406683,41551533,41783579,41870363,41928179,42013802,42155648,42215728,42303203,42372136,42455268,42562043,42730695,43590923,43607250,43931579,43956108,44273133,44461035,44496779,44581283,45254723,45264417,45282683,45533963,45579408,45629404,45684074,45840203,46065724,46449779,46493354,46505003,46514400,46882660,47000579,47082923,47192603,47274779,47425104,47488456,47492694,47668653,47907174,48092579,48228179,48243004,48389416,48579803,48633779,48822443,49107602,49360045,49362404,49519763,49615360,49759883,50869875,51029579,51276834,51385089,51605363,51683579,52073579,52125443,52328700,52885576,53007676,53082002,53156003,53232779,53309483,53353242,53424513,53476274,53539163,53673194,53691923,53742779,54047243,54066602,54261200,54438093,54577283,54828443,55161916,55253579,55552283,55817280,55874579,55875016,55998179,56092645,56259192,56662163,56687037,56979779,57032350,57052883,57101579,57271763,57344579,57387314,57417323,57581354,57755843,57779963,57828179,58499843,58833323,59156008,59232054,59259779,59330603,59491029,59496273,59538432,59542643,59566163,59918003,60034883,60198179,60347176,60546779,60559375,60593123,60824363,60858002,60962723,61043850,61172725,61240754,61650203,61764083,61855043,61923179,62443163,62645483,62794440,62859393,63048179,63115043,63291591,63424389,63603179,63617608,63706876,63977723,64043579,64093034,64196963,64290237,64328123,64654763,64763243,64914779,64978684,65113440,65238179,65402044,65730563,65827713,65922083,66239843,66513779,66524853,66550509,66584008,66602185,66618779,66869963,66912914,66974685,66980736,67092604,67140779,67203083,67210801,67244579,67311174,67473002,67698923,67890573,67924643,67936156,68006483,68312243,68438820,68474579,68616203,68676779,68677845,68737283,68837963,69018683,69318443,69454336,69536845,69616403,69932243,70226483,70514350,70517720,70643745,70693523,70790243,71298844,71439664,71480723,71569809,71613779,71708579,71723954,71765363,71954123,72048203,72090002,72497608,72671250,72738179,72775163,72959603,73001408,73002602,73028613,73252620,73256368,73407270,73435403,73677256,73780845,73833779,74103179,74138963,74406323,74724779,74907009,74953163,75040643,75059836,75162779,75353328,75444808,75505225,75561323,75681779,75892444,75938579,75972683,76078514,76227443,76328843,76480403,76497203,76648043,76698179,76731563,76975274,76997483,77080163,77490563,77516000,77637083,77685779,77734403,77976443,78056723,78136128,78200723,78248579,78301088,78366325,78647649,78699568,78832883,78897973,78935474,78957779,79004483,79113179,79298603,79332435,79421579,79528763,79624924,79878179,79922622,80038204,80073803,80132350,80327579,80344749,80369622,80475779,80696579,80915579,80959163,81054002,81089483,81247883,81559809,81604283,81701133,81983579,82011443,82126584,82260779,82280234,82398179,82413414,82562003,82629923,82886913,82966523,83006579,83205779,83256657,83325674,83363843,83444214,83536376,83559803,83753963,83897605,84134245,84171661,84200003,84275483,84388163,84617220,84621264,84772494,84875409,84881123,84999873,85062683,85122803,85313843,85384636,85401002,85491083,85654883,85666523,85724603,85863179,86034779,86068883,86316779,86321845,86372579,86538779,86648579,86670443,86735843,86773034,86779283,86898083,86938825,86973179,87114602,87132779,87205500,87374003,87427996,87498179,87621203,87753179,87833723,87903144,87903779,88082123,88088724,88101779,88344779,88392779,88507163,88516643,88537014,88797323,88907579,88980443,89061803,89079909,89178179,89195963,89310779,89354579,89441579,89458883,89464156,89596163,89613179,89638643,89672483,89723003,89798243,90011963,90068579,90132803,90162794,90212363,90228179,90258368,90375976,90498602,90575579,90606270,90710003,90720645,90798179,90885203,90906779,90999443,91001234,91013579,91208123,91269323,91335602,91409603,91520579,91539923,91616579,91669394,91710779,91754123,91845683,91964963,91970843,92000123,92086763,92126579,92137883,92193923,92210579,92373179,92392407,92513363,92553779,92603579,92686403,92707036,92715083,92734043,92771579,92785523,92854163,92964563,93019200,93086363,93110723,93150683,93197579,93205283,93216779,93228203,93320603,93327779,93380579,93549683,93564803,93594443,93654083,93725579,93755483,93770003,93805043,93809579,93825203,93831779,93836123,93857363,93903179,93916283,93961523,93975923,93978423,93995579,93999923,94035779,94039590,94055363,94058579,94071683,94076363,94086779,94096043,94100243,94104779,94115579,94118603,94120883,94122563,94127123,94321564,94443375,95198922,95461261,95601685,95956274,96015430,96158820,96185896,96646688,96768688,97425717,97579154,98891037,99220480,99338350,99507602,99666721,...,104779308215020729434677023705114093502338154180411883616947693769909509046748695903386923793057197109719242841587393852384078188490176483170231789560480866664208210184002155217838193316034757642539297907498585542812188758412368843136300108834562600569342350618477163844974920454721231224982985491659413858845009438409515942097106321161815756690087042092083991249849529625177325902529652082745662305494503623490711079145295243914745030569501133896108544457701012687471081873940608872910598726409950071317105380786735822758556968276803257206145133056507856664065276473173344440313114994449144111778128217093901151843109167871247612709018895097579029957021601082102494086324063540662816524020156284979850005187014799470754037366034635060915757595198146904245603006009742476391168605142019184889109463349401962809628690172114609049907637271375771261211860915411835425524369643972598789982154107099369691816372024965771810066559490533933134456155317218796786654463082449989463609296384322010472276995181997700659729075343471288629152210647053538991269614597515435223145857754604473604040223104961669371051290533549896406727735175575898501774999264192779766610965371089897417973504494383425999444561954550408994476918894093085044572047595976760399647463017470537093776277332171854216336113446189593191906493918825333493455478981242477717420687121947286595864280007377810239755406440573537353195294502953774646401763751602085870832592398378647619789509488719596756799816751083138201767856852690559410413551515041226180764613009610574188170775386308940902184057510372846190280894327995776758674180354442846276718555276919959678670629799580254605309171796272011948955369663763604090348921326077588113743692664302749351551234635022313810032578900162033680872190528533000635190823410288960208496503712709000780804467110590245232288261960709193031758440847332954075990237276003568416719444946710965074581467871593040895762700364134427379022434689397652975110911908336671263151574798055074161441461256414127804527192343644079350221788049631377447722490122029399651121751934205229344982738679172105515894340229232677095436857764371527423838229474505298126717755139117831901152116946298906204605775450094252359869240870305046399651588550455753904263620387157239589799744369760121889037729026833855264679181159292969056124445236693785779579578555450312214755751992665571963399960032118023186048450985708493298062703334931509538345231544624618326535025402533877755600585397698069188063584723803187149723195665607024060332566537144601497614843907142996946396009491291030194496630035447848204067572280024890048579382584178747286870961219948858916567859021421324245561972752906448581198851382584377980011606036127469982571073049741939425571413297019899054114524840360709695871709144437149923550444236916503626728639025629898117740777134560359375542367651128454158874081683795000205042263660379427120218418542226747535600413266617400505476387201123330353798684463637624308557050979607173931503806012287583506620991191918981422641105013818491775310522604777216622485416248211927214587833362221787820959719761}
19405  29241320254817002857537154234299476421158138161573326078808330850318524: {38806,639903,950159,1260155,1337151,1357370,1492799,1512186,1628844,1685451,1841195,1939100,2132570,2209434,2306339,2326920,2482048,2559084,2577407,2617785,2771483,2792304,3141342,3275051,3294770,3682010,3799852,3953724,4418412,4612202,4690202,4785131,4810431,5428360,5542394,5848203,6106905,6238106,6476555,6514032,6538971,6588860,7054684,7270125,7328286,7754800,7771866,7906632,8097914,8562866,8724150,8894961,8911580,9305760,9379436,9926144,10078120,10468980,10683407,10693896,11007903,11166912,11337885,11938696,12029507,12030633,12093744,12238355,12562776,12972443,13105379,13431033,13605462,13739871,14107912,14133123,14491004,14532995,14686026,14717507,14828411,15100671,15262010,15678155,15871401,15989325,16119003,17055280,17185010,17393195,17439594,17667839,18314412,18333731,18534755,18721970,18739007,18813786,18894525,19187190,19468331,19943049,20076707,20154160,20466336,20612872,20622012,20834411,20871834,21025010,22188171,22241706,22382745,22466364,22481039,22673430,22858203,23024628,23189481,23741725,23874928,24081407,24108251,24184992,24572243,24593087,25094234,25196511,25230012,25239770,25679759,25827971,25931987,26192296,26646125,26770010,26859294,26915999,27208116,27606525,27855903,28490070,28518591,28681010,28894922,29446960,29466333,29871155,30287724,30389408,31026314,31559195,31819071,31975350,32115770,32124012,32317859,32419811,33020764,33127830,33222299,33234985,33243995,33788991,33916750,34107040,34188084,34402010,34417212,34434659,34481183,34580805,34838066,35258234,35336352,35549627,35662874,35720831,35845386,36685370,36729291,36886192,36938762,37054911,37075619,37517387,37871034,38253083,38355231,38370420,38538924,39328203,39753396,39881982,39892794,39950795,40700100,40928448,41167625,41278460,41282412,41379131,41496966,41552399,41555085,41797946,42151547,42340739,43223531,43413440,43678163,43708874,44005211,44008682,44022444,44325424,44523743,44662514,44708651,45125211,45203483,45485387,45973874,46044504,46053155,46168370,46274879,46471967,47172520,47478550,47847179,47940954,47997471,48317411,48452500,48840120,48890639,48951003,49192370,49226793,49381379,49401150,49534152,49866102,50105147,50626523,50652914,51013595,51327539,51761507,51800067,52096128,52115403,52613483,52694560,52769660,52803779,52965170,53069085,54209114,54459947,54945135,55263786,55402044,55665407,55725921,56381747,56607024,56821503,56974260,57036755,57048251,57568451,57582155,57756891,58143000,58261007,58379403,58603325,58608144,59030844,59099939,59281380,59360570,59931903,60303755,60343763,60352556,60486770,60548171,60772544,60875354,60902987,60981887,61216314,61703005,62019200,62457083,62509706,63020703,63063194,63153131,63233472,63323592,63435407,63482234,63558204,63615122,63682902,63876232,63908639,64099322,64456799,64467599,65323007,65410875,65596154,65695883,65934162,66014207,66106970,66259595,66789263,67191482,67363283,67826500,68118794,68369112,68444106,68513452,68526111,68862122,68952395,69098586,69740031,69771600,69843770,70139834,70323990,70894067,71137656,71232684,71239041,71860761,72000779,72052031,72364506,72584124,73094329,73147514,73661403,73757771,73945010,74043606,74046866,74423040,75012256,75433970,75582716,75660794,76498202,76624859,76915251,77144483,77544347,77632451,77671547,78493050,78976072,79078979,79321372,79328364,79384576,79511514,79522010,79623003,79633595,80029863,80214411,80509791,80696051,81099903,81193631,81223355,81391800,81699539,81720434,81752555,82742874,83008811,83160362,83230010,83352107,83471363,83725920,83812524,83865755,83916914,84162659,84388788,84565852,84672602,84920195,84963002,85298111,85307162,85548525,85720316,86080971,86372031,86817920,87504107,87770284,87800591,87863963,88147150,88699804,88734012,88848081,89038202,89123555,89299580,89307648,89407994,89661842,89748232,89803487,90520764,90622010,90819851,91251760,91287003,91565775,91570460,91653119,91861131,92096570,93241739,93530891,93677051,93824795,94011407,94191660,94306010,94645811,94861706,94865555,95016719,95426412,95560314,95679962,96139551,96543194,96543602,96895000,97073183,97371484,97454642,97468026,97481939,97670160,97876360,97933274,98103066,98374460,98612627,99261194,99279299,99434639,99531155,99583739,99876012,...,139705744286694305912902698273485458003117538907215844822596925026546012062331594537849231724076262812958990455449858469845437584653568644226975719413974488885610946912002873623784257754713010190052397209998114057082918344549825124181733478446083467425789800824636218459966560606294974966643980655545885145126679251212687922796141761549087675586782722789445321666466039500236434536706202776994216407326004831320948105527060325219660040759334845194811392610268016916628109165254145163880798301879933428422807174382314430344742624369071009608193510742010475552087035297564459253750819992598858815704170956125201535790812223828330150278691860130105373276028801442803325448432084720883755365360208379973133340249353065961005383154712846747887676793597529205660804008012989968521558140189358913185479284465869283746171586896152812066543516361834361681615814553882447234032492858630131719976205476132492922421829366621029080088745987378577512608207089625062382205950776599985951479061845762680629702660242663600879638767124628384838869614196071385321692819463353913630861143672805964805386964139948892494735054044733195208970313567434531335699999018923706355481287161453196557298005992511234665926082606067211992635891858790780059429396794635680532863284023294049458368369776229138955114817928252790922541991891767111324607305308323303623227582829263048794485706676503746986340541920764716470927059337271699528535685002136114494443456531171530159719345984959462342399755668110850935690475803587412547218068686721634907686150679480765584227700515078587869578743347163794920374525770661035678232240472590461702291407035893279571560839732773672807078895728362682598607159551684805453798561768103450818324923552403665802068312846696418413376771866882711574496254038044000846921097880385280277995338283612001041072622814120326976384349280945590709011254463110605434653649701338091222292593262281286766108623828790721194350267152179236505363246252530203966814549211115561684202099730740098881921948341885503739369589791525439133629050732841836596963320162705866201495669245606972459976984905562807354525786972310236127249143685828703231784305966007064168957006852157109201536155928398541606141033933459003146492321160406728532868784733941005205684827182876319453066325826346829185383638702445140352905574879057292074832593648925047706106104740600416286341002656887429284533280042824030914731267980944657730750271113242012717793642059499491102046700536711837007467447196930758917418112965070916199630927554142698747110088716192801996819791876190662595194679321721373592662173380597130938756763040033186731439176778904996382494614959931811888757145361895098994082630337208598108265135176779170640015474714836626643428097399655919234095217729359865405486033120480946261162278859249533231400592315888671502304852034173197490321036179413812500723156868171272211832108911726666940056351547172569493624558056302330047467217688823200673968516268164440471731579284850165744742734639476231908671741349716778008827988255891975230188140018424655700414030139702955496647221664282569619450444482962383761279626348}
19406  29356494643429557042784320114969330687208514197958656224580592480025053: {58209,368353,504166,659158,853204,891526,1201126,1411309,1782868,1872973,2016248,2036055,2171792,2247268,2268279,2423875,2443266,2678113,2745286,2908650,2945912,3022093,3102560,3198855,3314151,3412112,3490380,3708109,3723072,3822193,3838626,3976006,4188456,4277809,4712013,4749815,4942155,5049526,5271632,5279158,5523015,5699778,5891216,5930586,6413908,6425158,6426253,6627618,6653926,6785450,6918303,7035303,7339366,7415446,7546573,7567558,7797604,8142540,8215309,8236075,8313591,8554726,8685376,8718628,8818355,9213553,9236566,9357159,9693500,9771048,9883290,10068166,10315873,10362488,10446359,10542176,10582026,10822486,10992429,11139475,11520109,11629153,11632200,11657799,11724295,11859948,12101158,12146871,12344423,12407680,12597650,12626326,12844299,13086225,13367370,13450006,13579633,13958640,13973158,14069154,14197126,14258528,14331853,14677204,14889216,14923370,15117180,15293809,15703470,15825709,16040844,16124992,16354726,16355809,16750368,17317558,17634890,17830513,17908044,18036263,18113755,18140616,18319828,18425158,18562573,18572566,18844164,19083313,19581368,20016109,20134228,20408193,20428813,20890562,21045709,21161868,21319100,21492004,21736506,22029039,22475053,22601206,22819558,22893015,22918259,23183158,23184433,23252792,23691526,24271558,24419216,24778246,25085048,25192700,25211926,25582920,25689133,25766090,25777515,25785463,25861366,25986673,26159391,26579809,26590732,27288448,27371686,27471618,27496016,27562609,27730246,27829112,27953713,28082955,28148833,28220679,28780785,29303158,29410093,29584228,29603053,29655608,29843660,29955152,29988109,30084193,30157846,30231240,30467809,30477604,30513286,30699504,30850273,30919308,30933018,31307751,31421809,31537515,32001766,32246656,32275418,32637526,32708086,32740370,32745313,32849158,33362559,33595348,33640016,33694246,33699546,34010145,34536942,34611553,34957558,35073613,35167606,35257933,35796886,35812392,36006358,36175213,36277488,36494566,36540109,36808700,37141204,37641351,37845018,37859655,37898209,37954486,37986760,38024788,38436913,38578006,38784746,38883853,38992966,39288444,39958966,40027846,40155015,40165558,40288941,40372006,40383632,40477933,40812174,40853158,41275955,42018406,42086806,42308209,42425428,42633800,42701686,42735105,42832016,43021515,43042726,43247158,43342383,43451446,44131366,44170440,44361073,44470726,44530273,44783533,45051988,45204193,45288109,45431586,45584112,45790093,45889616,46107740,46296358,46498486,46538209,46539471,46951309,47115136,47305558,47690353,47793848,47963025,47976358,48173655,48186018,48585709,48972388,49113046,49406548,49531146,49691745,49712653,50111713,50494712,50875125,51140308,51160560,51173926,51282126,51306358,51385232,51504886,51598075,51603015,51625818,51967558,52080013,52257099,52437604,52887351,53004528,53087926,53153686,53175976,53190392,53392753,53482246,53494311,53698609,53768079,54079309,54266800,54465526,54571264,54835309,55028055,55043216,55285453,55329288,55406780,55408143,55445206,55658593,55881613,55891703,55901158,56029933,56251873,56693809,56806551,56875558,57393766,57555630,57652486,57787309,57808386,58435633,58578913,58696592,58813558,58965650,59135158,59573809,59630094,59822973,59839191,59855473,60097558,60166948,60565625,60864886,60928726,61050150,61246513,61392672,61693558,61917690,61923618,62245449,62270893,62646358,62676109,62696919,62743393,63078733,63921272,63996628,64073953,64100326,64352326,65120160,65268004,65563311,65635724,65868200,65962075,66013023,66033666,66045536,66269809,66488136,66733558,66899809,66920566,66993771,67274353,67542886,68504113,68782726,68960811,69066756,69104063,69215158,69252555,69347809,69461504,69487204,69708406,69954646,70139158,70236109,70446358,70758780,71108209,71217825,71243206,71548966,71623693,71737453,71907553,71911431,72020593,72159286,72281158,72581473,72678750,73011046,73071766,73080109,73260180,73685048,73788555,73869392,73952173,74101725,74167309,74301228,74799153,74963809,75440695,75476032,75692593,75762004,75965680,75979371,76000609,76087366,76326886,76508209,76709233,76805158,77009188,77524000,77697073,77699158,77839204,77987809,78115126,78144192,78293158,78419053,78529703,78589558,78707792,78750433,79003846,79041840,79154490,79217713,79447755,79448653,79845290,79909204,80183206,80359558,80487793,80770486,80927713,80946358,81014833,81122086,81313671,81414646,81621752,81940246,82079533,82115158,82204273,82289926,82813366,82858609,82895679,83059309,83103066,83218573,83416033,83567158,83740726,83856358,84027604,84225709,84311296,84376333,84431456,84562993,84606406,84744272,84783125,84910536,85124086,85148209,85184173,85461390,85641815,85680109,85853809,85888333,86563693,86825773,86987233,87181846,87214500,87522733,87863158,87912216,88096609,88359373,88416973,88531309,88546266,88700653,88922070,88993558,89040855,89162566,89611309,90083953,90204013,90484813,90509446,90528834,90565366,90730155,90821233,91067926,91120609,91158816,91258808,91313031,91368148,91425709,91543213,91680406,91788913,91824471,91916173,91987309,92131448,92143153,92160109,92499553,92620513,92793313,92899558,92986708,93010006,93028800,93095533,93179953,93243059,93294433,93401713,93492109,93549133,93663793,93720493,93764559,93765320,93788209,93823309,94001158,94014253,94054573,94075309,94078513,94123873,94141153,94165846,94385206,94478395,94549558,94594791,94850208,94976912,94985388,95223351,95337306,95422683,95524353,95814348,96148983,96185158,96456358,96486008,96778832,97159606,97267558,97351583,97644886,98215204,98394231,98720090,98724808,98901243,99039526,99151715,99160455,99230720,99519766,...,209558616430041458869354047410228187004676308360823767233895387539819018093497391806773847586114394219438485683174787704768156376980352966340463579120961733328416420368004310435676386632069515285078595814997171085624377516824737686272600217669125201138684701236954327689949840909442462449965970983318827717690018876819031884194212642323631513380174084184167982499699059250354651805059304165491324610989007246981422158290590487829490061139002267792217088915402025374942163747881217745821197452819900142634210761573471645517113936553606514412290266113015713328130552946346688880626229988898288223556256434187802303686218335742495225418037790195158059914043202164204988172648127081325633048040312569959700010374029598941508074732069270121831515190396293808491206012019484952782337210284038369778218926698803925619257380344229218099815274542751542522423721830823670851048739287945197579964308214198739383632744049931543620133118981067866268912310634437593573308926164899978927218592768644020944553990363995401319458150686942577258304421294107077982539229195030870446291715509208947208080446209923338742102581067099792813455470351151797003549998528385559533221930742179794835947008988766851998889123909100817988953837788186170089144095191953520799294926034941074187552554664343708432672226892379186383812987837650666986910957962484955434841374243894573191728560014755620479510812881147074706390589005907549292803527503204171741665184796757295239579018977439193513599633502166276403535713705381118820827103030082452361529226019221148376341550772617881804368115020745692380561788655991553517348360708885692553437110553839919357341259599160509210618343592544023897910739327527208180697842652155176227487385328605498703102469270044627620065157800324067361744381057066001270381646820577920416993007425418001561608934221180490464576523921418386063516881694665908151980474552007136833438889893421930149162935743186081791525400728268854758044869378795305950221823816673342526303149596110148322882922512828255609054384687288158700443576099262754895444980244058799302243503868410458689965477358344211031788680458465354190873715528743054847676458949010596253435510278235663802304233892597812409211550900188504719738481740610092799303177100911507808527240774314479179599488739520243778075458053667710529358362318585938112248890473387571559159157110900624429511503985331143926799920064236046372096901971416986596125406669863019076690463089249236653070050805067755511201170795396138376127169447606374299446391331214048120665133074289202995229687814285993892792018982582060388993260070895696408135144560049780097158765168357494573741922439897717833135718042842648491123945505812897162397702765168755960023212072254939965142146099483878851142826594039798108229049680721419391743418288874299847100888473833007253457278051259796235481554269120718751084735302256908317748163367590000410084527320758854240436837084453495071200826533234801010952774402246660707597368927275248617114101959214347863007612024575167013241982383837962845282210027636983550621045209554433244970832496423854429175666724443575641919439522}
19407  29472119440931300893726919311725877779088408905295139650128873717507585: {77612,756249,988737,1066505,1279806,1337289,1764217,1801689,1900318,2228585,2520310,2577673,2674302,2714740,2809085,2985598,3024372,3257688,3275389,3370902,3623873,3664899,3682390,3878200,4117929,4265140,4362975,4418868,4612678,4653840,4901369,4964096,5118168,5154814,5235570,5542966,5584608,5598797,5757939,5964009,6282684,6550102,6589540,7364020,7574289,7599704,7907448,7918737,8017385,8549667,8836824,8895879,9067177,9224404,9380404,9570262,9620862,9637737,9747005,9941427,9980889,10178175,10856720,10898285,11009049,11084788,11123169,11351337,11696406,12116875,12213810,12476212,12832089,12953110,13028064,13077942,13177720,13854849,14109368,14540250,14656572,14824935,15102249,15331069,15509600,15543732,15813264,15873039,16195828,16233729,17125732,17133697,17448300,17789922,17823160,18151737,18346505,18611520,18758872,18896475,18939489,19852288,20051055,20156240,20175009,20346193,20937960,20959737,21103731,21295689,21366814,21387792,21949417,22015806,22333824,22385055,22675770,22703153,22899785,23318033,23555205,23877392,24059014,24061266,24187488,24350473,24476710,24532089,25125552,25167785,25770889,25944886,25948657,25976337,26210758,26452335,26466877,26648875,26862066,26865005,27210924,27479742,27637737,27858849,28215824,28266246,28982008,28982809,29023313,29065990,29202413,29372052,29435014,29656822,30201342,30524020,31335843,31356310,31490875,31742802,31809817,31978650,32238006,32604759,33054809,33119213,33238415,33901809,34110560,34229337,34370020,34774737,34786390,34879188,35335678,35537289,36407337,36628824,36667462,36845609,36980285,37069510,37167369,37227713,37304575,37443940,37478014,37627572,37789050,37817889,38097005,38374380,38649135,38792049,38936662,39262717,39886098,40104793,40153414,40308320,40750489,40932672,41057529,41207427,41225744,41244024,41595369,41668822,41743668,41819617,41994185,42050020,42889793,43580413,43954737,44182873,44376342,44483412,44765490,44932728,44962078,45208189,45236769,45346860,45716406,45769929,46010875,46049256,46378962,46399527,46426505,46528979,46541593,47483450,47530985,47749856,48002649,48162814,48216502,48369984,48413127,48956289,49062129,49110555,49114769,49144486,49186174,49273737,49784909,50188468,50363753,50393022,50460024,50479540,50541369,50549319,50836609,51359518,51655942,51805413,51863974,52384592,52436337,52618969,52751409,53031785,53292250,53521673,53540020,53695329,53718588,53831998,54009537,54105953,54216509,54416232,54741849,55190953,55213050,55711806,55931113,56314985,56767527,56931729,56980140,57037182,57362020,57366073,57634675,57789844,57867009,58177119,58459073,58489449,58893920,58932666,59742310,59938449,60041769,60248337,60558009,60575448,60778816,61215485,61218261,61279737,61538689,61758185,62052628,63027609,63118390,63130209,63638142,63925385,63950700,64052529,64231540,64248024,64367393,64474417,64564089,64635718,64839622,64870737,65103193,65177169,65547005,66041528,66052873,66197049,66255660,66444598,66469970,66487990,66528473,66706089,67145009,67577982,67833500,68147379,68214080,68376168,68804020,68834424,68869318,68962366,69161610,69170797,69258475,69444537,69676132,69747729,70516468,70672704,70958337,71099254,71325748,71419033,71441662,71690772,71964537,72279027,73370740,73426537,73458582,73669569,73772384,73877524,73950017,74109822,74151238,74296719,75034774,75177113,75208685,75742068,75783313,75880877,76176217,76440569,76506166,76710462,76740840,76760889,76923189,76959537,77077848,77257329,77438727,77640589,77951337,78656406,79506792,79631889,79730529,79763964,79785588,79851457,79901590,79995785,80101769,80223369,80362657,80615017,81400200,81585005,81666113,81698289,81856896,82044655,82335250,82556920,82564824,82758262,82892233,82993932,83104798,83110170,83167809,83595892,83851737,84303094,84425257,84489233,84681478,85313337,85822669,86090649,86333445,86384207,86447062,86478729,86516497,86712579,86826880,86859005,87356326,87417748,87440333,88010422,88017364,88044888,88220337,88448475,88650848,88702737,89047486,89325028,89417302,89445141,90146337,90250422,90406966,90970774,91297329,91393089,91422473,91575225,91947748,92089008,92106310,92336740,92540337,92549758,92763433,92847673,92876535,92885427,92943934,93038873,93538873,93579233,93969537,94234897,94345040,94702505,94957100,95694358,95881908,95994942,96150489,96261485,96528489,96533353,96634822,96905000,97083289,97299005,97680240,97781278,97902006,98384740,98453586,98762758,98802300,98905033,99050499,99068304,99673673,99732204,99886505,...,314337924645062188304031071115342280507014462541235650850843081309728527140246087710160771379171591329157728524762181557152234565470529449510695368681442599992624630552006465653514579948104272927617893722495756628436566275237106529408900326503687801708027051855431491534924761364163693674948956474978241576535028315228547826291318963485447270070261126276251973749548588875531977707588956248236986916483510870472133237435885731744235091708503401688325633373103038062413245621821826618731796179229850213951316142360207468275670904830409771618435399169523569992195829419520033320939344983347432335334384651281703455529327503613742838127056685292737089871064803246307482258972190621988449572060468854939550015561044398412262112098103905182747272785594440712736809018029227429173505815426057554667328390048205888428886070516343827149722911814127313783635582746235506276573108931917796369946462321298109075449116074897315430199678471601799403368465951656390359963389247349968390827889152966031416830985545993101979187226030413865887456631941160616973808843792546305669437573263813420812120669314885008113153871600649689220183205526727695505324997792578339299832896113269692253920513483150277998333685863651226983430756682279255133716142787930281198942389052411611281328831996515562649008340338568779575719481756476000480366436943727433152262061365841859787592840022133430719266219321720612059585883508861323939205291254806257612497777195135942859368528466158790270399450253249414605303570558071678231240654545123678542293839028831722564512326158926822706552172531118538570842682983987330276022541063328538830155665830759879036011889398740763815927515388816035846866108991290812271046763978232764341231077992908248054653703905066941430097736700486101042616571585599001905572470230866880625489511138127002342413401331770735696864785882127579095275322541998862227970711828010705250158334840132895223744403614779122687288101092403282137067304068192958925332735725010013789454724394165222484324383769242383413581577030932238050665364148894132343167470366088198953365255802615688034948216037516316547683020687698031286310573293114582271514688423515894380153265417353495703456350838896718613817326350282757079607722610915139198954765651367261712790861161471718769399233109280365667113187080501565794037543477878907168373335710081357338738735666350936644267255977996715890199880096354069558145352957125479894188110004794528615035694633873854979605076207601633266801756193094207564190754171409561449169586996821072180997699611433804492844531721428990839188028473873090583489890106343544612202716840074670145738147752536241860612883659846576749703577064263972736685918258719345743596554147753133940034818108382409947713219149225818276714239891059697162343574521082129087615127433311449770651332710749510880185917076889694353222331403681078126627102953385362476622245051385000615126790981138281360655255626680242606801239799852201516429161603369991061396053390912872925671152938821521794511418036862750519862973575756944267923315041455475325931567814331649867456248744635781643763500086665363462879159283}
19408  29588196396149895523141147570448223226833273099844855839317220472824266: {97015,116418,329647,561991,736706,1008332,1318316,1706408,1719391,1783052,1919709,2065207,2402252,2822618,2850477,2869591,3393425,3565736,3745946,3780465,3784567,4011453,4032496,4072110,4343584,4354087,4478397,4494536,4536558,4808407,4847750,4886532,5056353,5148391,5331425,5356226,5490572,5523585,5817300,5891824,6044186,6205120,6397710,6628302,6649741,6824224,6919017,6980760,7416218,7446144,7644386,7677252,7732221,7853355,7952012,8236925,8314449,8376912,8512591,8555618,8734567,9205025,9288247,9424026,9499630,9619591,9825153,9884310,10099052,10543264,10558316,10719391,11046030,11399556,11530505,11725505,11782432,11861172,12345697,12355591,12680887,12827816,12850316,12852506,13255236,13307852,13570900,13836606,13855985,14070606,14355393,14431293,14678732,14830892,15093146,15135116,15259927,15595208,15595265,16285080,16414013,16428127,16430618,16472150,16627182,17109452,17370752,17437256,17482567,17544609,17636710,18320715,18427106,18473132,18714318,19387000,19429665,19542096,19616913,19766580,20087167,20136332,20244785,20631746,20724976,20892718,21013807,21084352,21164052,21407165,21644972,21810375,21984858,22138447,22278950,22849591,23040218,23153287,23258306,23264400,23315598,23355391,23448590,23719896,23859391,24202316,24293742,24561967,24662047,24688846,24815360,25195300,25252652,25359257,25658887,25688598,26055607,26172450,26648527,26684883,26734740,26845591,26900012,27159266,27917280,27946316,28021927,28138308,28394252,28509007,28517056,28663706,28800391,29354408,29778432,29846740,30234360,30473729,30587618,31406940,31651418,31868167,32050221,32081688,32249984,32709452,32711618,33023709,33093391,33500736,33748087,34013655,34635116,35269780,35661026,35816088,36057487,36072526,36088521,36091899,36148927,36227510,36281232,36639656,36715065,36850316,37125146,37145132,37688328,38155025,38166626,38917329,39162736,39316137,39481591,40032218,40268456,40293099,40541287,40816386,40857626,41219613,41781124,41938087,42091418,42323736,42399369,42638200,42962525,42984008,43401991,43473012,43598985,43998727,44058078,44152521,44485233,44950106,45202412,45302013,45639116,45786030,45836518,46184287,46350391,46366316,46368866,46505584,46516207,46804925,47034465,47340967,47383052,47586991,47614203,47967975,48239887,48357009,48543116,48645607,48838432,49556492,50170096,50385400,50409391,50423852,51165840,51378266,51532180,51555030,51570926,51722732,51748447,51973346,52138327,52179585,52318782,52562525,53003517,53159618,53181464,53756167,54515407,54576896,54743372,54943236,54992032,55001193,55042591,55125218,55460492,55604265,55658224,55907426,56012287,56165910,56217021,56297666,56441358,56683575,57116047,57561570,57625591,57770527,57786337,57842887,58404993,58606316,58820186,58848367,58919647,59061991,59168456,59206106,59311216,59687320,59829147,59910304,59976218,60168386,60230121,60260287,60315692,60462480,60608767,60935618,60955208,61024567,61026572,61399008,61700546,61711807,61838616,61866036,62188591,62503233,62526991,62615502,62735585,62843618,63075030,63099425,63198391,64003532,64493312,64519591,64550836,64650127,65275052,65416172,65480740,65490626,65698316,65939647,66564513,66573607,66636607,66725118,66925025,67148235,67190696,67262647,67280032,67388492,67399092,67443117,68020290,68493127,68574609,68614591,69037447,69073884,69223106,69568443,69635407,69915116,69990727,70147226,70284847,70335212,70515866,70809727,70983391,71225175,71271391,71593772,71624784,71702525,72012716,72237127,72237305,72244221,72324753,72350426,72405391,72554976,72795487,72850927,72989132,73080218,73617400,73716729,73779261,74159887,74282408,75219007,75282702,75589533,75634591,75690036,75719310,75796418,75908972,75973520,75994447,76049576,76300087,76502407,76552807,76753687,76873826,77039277,77156012,77483913,77565785,77569492,77740807,77767706,77789407,77795961,77985932,78223567,78271447,78576888,79917932,79938375,79992391,80055692,80289425,80310030,80331116,80351527,80529367,80577882,80744012,80747997,80767264,80955866,81624348,81706316,82036327,82285807,82491727,82551910,82573591,82819575,82978591,83567709,83572591,83844247,84036812,84173612,84526591,84616418,84791875,84850856,85257391,85267600,85364527,85403372,85470210,85506367,85555773,85664032,86005025,86043030,86085452,86130391,86366767,86400247,86494316,86684766,86698327,86902892,87095165,87276991,87526687,87952567,88130767,88145585,88262732,88340880,88398999,88422007,88722146,88941452,89060546,89157185,89225887,89305591,89489047,89567066,89613465,89643487,89770207,90103976,90115447,90259087,90408386,90576218,90651991,90863172,90981391,91045327,91168224,91294591,91395391,91552927,91580186,91713425,91743367,91779232,91997887,92015527,92171047,92215480,92346905,92541991,92592716,92968591,92996972,93007687,93076418,93078942,93096391,93157591,93240247,93363007,93384391,93436591,93600607,93846127,93872767,93902618,93940087,93951391,93967807,94035847,94056727,94111447,94116991,94134127,94144207,94167391,94230272,94611116,94677585,95380706,95457213,95587696,95926050,95952716,96347310,96372036,96953577,97171418,97259433,97944776,98226092,98813096,99062292,99383490,99425306,99666897,99704955,99731985,...,419117232860082917738708094820456374009352616721647534467790775079638036186994783613547695172228788438876971366349575409536312753960705932680927158241923466656832840736008620871352773264139030570157191629994342171248755033649475372545200435338250402277369402473908655379899681818884924899931941966637655435380037753638063768388425284647263026760348168368335964999398118500709303610118608330982649221978014493962844316581180975658980122278004535584434177830804050749884327495762435491642394905639800285268421523146943291034227873107213028824580532226031426656261105892693377761252459977796576447112512868375604607372436671484990450836075580390316119828086404328409976345296254162651266096080625139919400020748059197883016149464138540243663030380792587616982412024038969905564674420568076739556437853397607851238514760688458436199630549085503085044847443661647341702097478575890395159928616428397478767265488099863087240266237962135732537824621268875187146617852329799957854437185537288041889107980727990802638916301373885154516608842588214155965078458390061740892583431018417894416160892419846677484205162134199585626910940702303594007099997056771119066443861484359589671894017977533703997778247818201635977907675576372340178288190383907041598589852069882148375105109328687416865344453784758372767625975675301333973821915924969910869682748487789146383457120029511240959021625762294149412781178011815098585607055006408343483330369593514590479158037954878387027199267004332552807071427410762237641654206060164904723058452038442296752683101545235763608736230041491384761123577311983107034696721417771385106874221107679838714682519198321018421236687185088047795821478655054416361395685304310352454974770657210997406204938540089255240130315600648134723488762114132002540763293641155840833986014850836003123217868442360980929153047842836772127033763389331816303960949104014273666877779786843860298325871486372163583050801456537709516089738757590611900443647633346685052606299192220296645765845025656511218108769374576317400887152198525509790889960488117598604487007736820917379930954716688422063577360916930708381747431057486109695352917898021192506871020556471327604608467785195624818423101800377009439476963481220185598606354201823015617054481548628958359198977479040487556150916107335421058716724637171876224497780946775143118318314221801248859023007970662287853599840128472092744193803942833973192250813339726038153380926178498473306140101610135511022402341590792276752254338895212748598892782662428096241330266148578405990459375628571987785584037965164120777986520141791392816270289120099560194317530336714989147483844879795435666271436085685296982247891011625794324795405530337511920046424144509879930284292198967757702285653188079596216458099361442838783486836577748599694201776947666014506914556102519592470963108538241437502169470604513816635496326735180000820169054641517708480873674168906990142401653066469602021905548804493321415194737854550497234228203918428695726015224049150334026483964767675925690564420055273967101242090419108866489941664992847708858351333448887151283838879044}
19409  29704727264654759948918552342915288151012815550821563009078335637768142: {155224,174627,1105059,1260415,1493107,1512498,1647895,1977474,2133010,2228815,2345827,2559612,2674578,3002815,3120019,3528434,3603378,3624247,3800636,3932719,4050211,4233927,4282759,4457170,5040620,5155346,5348604,5429480,5618170,5618919,5792527,5971196,6048744,6108165,6257479,6515376,6550778,6741804,6804837,6863215,7247746,7271625,7329798,7364780,7756400,8034339,8235858,8530280,8725950,8837736,9066279,9225356,9307680,9596565,9802738,9928192,9940015,9942453,10236336,10309628,10471140,11085932,11124327,11169216,11197594,11224339,11466579,11515878,11928018,12565368,12623815,12833427,13100204,13179080,13197895,13645807,14136039,14249445,14728040,14826465,15148578,15199408,15257599,15814896,15837474,16034770,16062895,16569045,16634815,16788211,16963625,17099334,17673648,17791758,18134354,18348415,18448808,18538615,18760808,18903511,18918895,19140524,19241724,19275474,19278759,19390999,19494010,19882854,19961778,20356350,20594167,20754909,21105909,21386815,21713440,21796570,22018098,22169576,22246338,22639719,22702674,23091415,23127511,23392812,23566927,23974879,24233750,24427620,24645927,24708225,24940773,24952424,25170415,25664178,25685107,25906220,26056128,26061331,26155884,26350879,26355440,26455065,26830999,27056215,27244999,27640659,27709698,27763747,28071477,28218736,29080500,29313144,29447011,29649870,29770579,30204498,30252895,30662138,30947619,31019200,31087464,31339077,31494125,31549111,31565815,31626528,31746078,32059699,32391656,32467458,32637991,32977287,33418425,33625015,33775039,34175311,34251464,34267394,34300279,34560327,34887459,34896600,34932895,34973397,35172885,35234899,35327347,35334451,35492815,35579844,35646320,36303474,36440613,36693010,37015591,37033269,37223040,37308425,37517744,37611007,37792950,37842211,37878978,37884559,38532897,39043699,39258675,39704576,39757231,40102110,40312480,40350018,40353907,40692386,40738899,40886815,41875920,41919474,42207462,42591378,42733628,42775584,42995559,43033759,43293895,43898834,44031612,44087225,44218591,44667648,44770110,45351540,45406306,45799570,45881427,46062895,46431415,46533781,46636066,46708471,47110410,47477127,47754784,47935651,48098719,48118028,48122532,48374976,48700946,48953420,49064178,49067427,50090527,50251104,50335570,50703727,50785207,51541778,51772399,51889772,51897314,51952674,52226405,52421516,52904670,52933754,53019847,53218351,53297750,53335807,53491539,53724132,53730010,54108789,54111607,54341265,54421848,54959484,55275474,55335967,55687719,55717698,56255539,56431648,56503015,56523079,56532492,57048895,57249939,57957895,57964016,57965618,58044727,58046626,58131980,58261687,58404826,58465159,58744104,58791859,58870028,59112247,59228815,59236519,59313644,59520799,59804119,60048327,60402684,60653599,60678895,61048040,61224579,61286439,61945615,62477071,62671686,62712620,62981750,63029815,63137127,63137959,63485604,63619634,63943399,63957300,64415225,64476012,64653415,64997107,65209518,65296627,65336611,65925199,66087117,66109618,66180559,66238426,66476830,66535447,66543379,67425159,67803618,68221120,68429215,68458674,68495239,68679045,68740040,68754777,68802247,69325615,69421111,69549474,69553299,69572780,69758376,70671356,71074578,72717667,72814674,73126951,73257648,73257895,73334924,73691218,73820179,73960570,74139020,74244499,74334738,74455426,74601559,74609150,74887880,74956028,75255144,75394615,75578100,75635778,76194010,76283215,76448527,76748760,76828147,77067399,77298270,77332545,77356389,77584098,77873324,77960019,78478173,78525434,78624559,78840979,79075219,79739427,79772196,79784647,80004415,80209586,80306828,80521879,80616640,80618959,80688545,81339511,81500978,81593815,81674647,81770215,81850925,81865344,82115058,82122895,82414854,82451488,82488048,82650019,82687827,82977367,83097151,83190738,83337644,83487336,83639234,83861139,83988370,84100040,84235615,84248865,84446499,84662037,84781927,84808039,85701679,85779586,86068471,86342355,86461459,87160826,87393895,87474211,87909474,87919015,88090447,88230279,88365746,88610659,88752684,88809159,88845679,88966824,89492215,89495539,89530980,89865456,89924156,89964327,90015895,90252579,90416378,90473538,90693720,90882439,91236415,91273891,91403427,91432812,91539858,91553011,91765807,92021750,92098512,92550819,92757924,92799054,92853010,93048559,93057958,93083186,93232819,93923253,94265427,94350499,94612545,94665727,94886215,94966900,95061970,95499712,96005298,96325628,96361519,96433004,96445015,96739968,96826254,96961865,97124947,97482415,97727431,97912578,98124258,98221110,98229538,98235939,98287027,98288972,98372348,98547474,99010519,99455347,99569818,99684211,99897415,...,628675849290124376608062142230684561014028925082471301701686162619457054280492175420321542758343182658315457049524363114304469130941058899021390737362885199985249261104012931307029159896208545855235787444991513256873132550474213058817800653007375603416054103710862983069849522728327387349897912949956483153070056630457095652582637926970894540140522252552503947499097177751063955415177912496473973832967021740944266474871771463488470183417006803376651266746206076124826491243643653237463592358459700427902632284720414936551341809660819543236870798339047139984391658839040066641878689966694864670668769302563406911058655007227485676254113370585474179742129606492614964517944381243976899144120937709879100031122088796824524224196207810365494545571188881425473618036058454858347011630852115109334656780096411776857772141032687654299445823628254627567271165492471012553146217863835592739892924642596218150898232149794630860399356943203598806736931903312780719926778494699936781655778305932062833661971091986203958374452060827731774913263882321233947617687585092611338875146527626841624241338629770016226307743201299378440366411053455391010649995585156678599665792226539384507841026966300555996667371727302453966861513364558510267432285575860562397884778104823222562657663993031125298016680677137559151438963512952000960732873887454866304524122731683719575185680044266861438532438643441224119171767017722647878410582509612515224995554390271885718737056932317580540798900506498829210607141116143356462481309090247357084587678057663445129024652317853645413104345062237077141685365967974660552045082126657077660311331661519758072023778797481527631855030777632071693732217982581624542093527956465528682462155985816496109307407810133882860195473400972202085233143171198003811144940461733761250979022276254004684826802663541471393729571764255158190550645083997724455941423656021410500316669680265790447488807229558245374576202184806564274134608136385917850665471450020027578909448788330444968648767538484766827163154061864476101330728297788264686334940732176397906730511605231376069896432075032633095366041375396062572621146586229164543029376847031788760306530834706991406912701677793437227634652700565514159215445221830278397909531302734523425581722322943437538798466218560731334226374161003131588075086955757814336746671420162714677477471332701873288534511955993431780399760192708139116290705914250959788376220009589057230071389267747709959210152415203266533603512386188415128381508342819122898339173993642144361995399222867608985689063442857981678376056947746181166979780212687089224405433680149340291476295505072483721225767319693153499407154128527945473371836517438691487193108295506267880069636216764819895426438298451636553428479782119394324687149042164258175230254866622899541302665421499021760371834153779388706444662807362156253254205906770724953244490102770001230253581962276562721310511253360485213602479599704403032858323206739982122792106781825745851342305877643043589022836073725501039725947151513888535846630082910950651863135628663299734912497489271563287527000173330726925758318566}
19410  29821713808782874828170882705509840289776443002220001722570189119480807: {135821,194030,232836,368429,445901,562049,600749,659294,716801,1123982,1473412,1950209,2016664,2103809,2268747,2636632,2640401,2908109,2966211,3199515,3328001,3412816,3438782,3442349,3566104,3670829,3784961,3822989,3839418,4011867,4130414,4354541,4392449,4750795,4804504,5148929,5186669,5292651,5405067,5645236,5700954,5739182,6300775,6315149,6427601,6685755,6786850,6839309,7100801,7131472,7212749,7463995,7491892,7548161,7560930,7569134,7622609,7733019,7771409,8022906,8064992,8144220,8179949,8427255,8687168,8708174,8772461,8956794,8989072,9073116,9205975,9289229,9436589,9616814,9695500,9773064,9826167,10112706,10208129,10296782,10662850,10712452,10757069,10871619,10981144,10994697,11047170,11413421,11522561,11531695,11595281,11634600,11783648,12088372,12248321,12353787,12393089,12410240,12795420,12887035,12934829,13088925,13256604,13259009,13299482,13438829,13648448,13797869,13838034,13857415,13961520,14406401,14704107,14832436,14892288,15288772,15297101,15354504,15368141,15464442,15706710,15899921,15904024,16142707,16375255,16415707,16429901,16473850,16628898,16753824,16782221,16796391,17025182,17111236,17168849,17273817,17469134,17589521,17834381,17892027,17904269,18009041,18113741,18357761,18410050,18566609,18576494,18636161,18848052,18948749,18999260,19087469,19239182,19398379,19606529,19650306,19768620,20089361,20192621,20198104,20295809,20536301,21050321,21086528,21116632,21438782,21528449,21630701,21732881,21833371,22092060,22344449,22722867,22799112,23061010,23155841,23189549,23256941,23357969,23391629,23451010,23564864,23722344,23756211,23895569,23925655,24052155,24564689,24664781,24691394,24711182,25361774,25595501,25649001,25655632,25694849,25700632,25705012,25761041,25860269,26058509,26091521,26388269,26510472,26552849,26615704,26651501,26684369,26687637,26848589,27141800,27201531,27673212,27711970,27829709,28025069,28141212,28220141,28342699,28710786,28803629,28835969,28862586,28913211,28932941,29241015,29357464,29513261,29661784,29824281,29942667,29970031,30058961,30186292,30270232,30519854,30534525,30761729,30952721,31190416,31190530,31428941,31492301,31713809,31871789,32187149,32382775,32570160,32694855,32815469,32828026,32856254,32861236,32944300,33027147,33254364,33284609,33369507,33471761,33783041,34054011,34218904,34495949,34712081,34741504,34874512,34965134,35081681,35089218,35235341,35273420,35878529,36014407,36092141,36183569,36350625,36518189,36641430,36854212,36946264,37154321,37428636,37546349,37907021,37967021,38176769,38496267,38505581,38624909,38774000,38859330,38952401,39084192,39160301,39233826,39249281,39515789,39533160,39840641,40174334,40193921,40272664,40487441,40489570,40546049,40575341,40663169,40809389,41072081,41159501,41263492,41449952,41508461,41564547,41785436,41798381,41885201,42027614,42168704,42328104,42577169,42720749,42814330,42835469,43289944,43407149,43620750,43969716,44276894,44371661,44474805,44557900,44597261,45215021,45270989,45306747,45382829,45699182,45801089,45856721,45993207,46080436,46189841,46306574,46383629,46516612,46528800,46549421,46631196,46710782,46897180,47017601,47099981,47291921,47439792,47619117,47718782,48110081,48404632,48587484,48651521,48701187,48732461,49123934,49216589,49324094,49377692,49630720,49778129,49884689,50044289,50390600,50505304,50679809,50718514,51048401,51317774,51377196,51401091,51624449,51702701,52092881,52111214,52144769,52344900,52790669,53150189,53252621,53297054,53329361,53369766,53406029,53417035,53457101,53469480,53691182,53711981,53762861,53800024,54318532,54455211,55039515,55573229,55834560,55892632,56043854,56044049,56093441,56276616,56689425,56788504,56818467,56830481,57001421,57018014,57034112,57074561,57196301,57327412,57366401,57439181,57600782,57777869,57802001,57850241,58450541,58593869,58708816,58855889,58927181,58950929,59353421,59556864,59693480,59917709,60147535,60153165,60468720,60525027,60686081,60947458,60986381,61038579,61175236,61191775,61262381,61856429,61947341,62196689,62219309,62535149,62670029,62813880,62879211,62894189,63139841,63206669,63302836,63311193,63628241,63736334,63887067,64002989,64068881,64100442,64163376,64499968,64549889,64658669,64680401,64853969,64862215,65264141,65371601,65418904,65423236,65500289,65526895,65585921,65848251,66012161,66047418,66186782,66477329,66708461,66896849,67001472,67155165,67230161,67292429,67333901,67496174,67787981,67952141,68027310,68095361,68109459,68522669,68563181,68644109,68699355,68704721,68765261,68866001,68926349,69270232,69954099,69960941,70019969,70294481,70539560,70665615,70722689,70877441,71322052,71395949,71632176,71795201,71927501,72040589,72078221,72114974,72134609,72145052,72177042,72183798,72247169,72265901,72297854,72455020,72562464,72664975,72861101,73045421,73051419,73279312,73430130,73587535,73593581,73596267,73700632,73792769,74142055,74188241,74224001,74250292,74290264,74437889,74809421,74985101,75376656,75490049,75503355,75645389,75765761,76022381,76310050,76311041,76327949,76333252,76530221,76563821,76731341,76764749,77080529,77179649,77312667,77719661,77752109,77768321,77816909,77834658,77845971,77929011,78058769,78155009,78282881,78325472,78390775,78473729,78632274,78804941,78867629,78963182,79039361,79271981,79357005,79379921,79400631,79686161,79883501,79946625,80064436,80109521,80536912,80541389,80586198,80595015,80674049,80776781,80995601,81039149,81082574,81198209,81284561,81499181,81556109,81632772,81715252,82229261,82339661,82439226,82599809,82667789,82708481,82913211,83004689,83044781,83084801,83441741,83562248,83576547,83598509,83715329,83857229,83876174,84049169,84182836,84352529,84427649,84647472,84663629,84798738,84872321,85090769,85276400,85531661,85695629,85904141,85925050,85938641,85968016,85984529,86075921,86110061,86144129,86155469,86223341,86313389,86358221,86646509,86745041,86803982,86853761,86875409,86946024,86948427,86965975,86972429,87069939,87197970,87447809,87509969,87551249,87607239,87704909,87829819,87947021,87976961,87997454,88116156,88145261,88174721,88305042,88339195,88388561,88446209,88730129,88970466,89106509,89133521,89223041,89267501,89355821,89425901,89530061,89658641,89684141,89709569,89768621,89843969,89900212,90130829,90376721,90404824,90515969,90531281,90604026,90622481,90645101,90867341,90954221,90997229,91025741,91152461,91278232,91317389,91337681,91477709,91549649,91572060,91575569,91588481,91646189,91668655,91673036,91684301,91821581,91833869,92020241,92032001,92187629,92193281,92204561,92260481,92359121,92368574,92386061,92543501,92563949,92639489,92673775,92700782,92732632,92737409,92737732,92785169,92799341,92836781,92882861,92905601,93011168,93029249,93032414,93130241,93138449,93174989,93214829,93269261,93280721,93329549,93336941,93373421,93405569,93575501,93591041,93609850,93618509,93695035,93705389,93746129,93779981,93831809,93864401,93880109,93886721,93918701,93930989,93971729,94003841,94007529,94031789,94038029,94054529,94055981,94060289,94068930,94075469,94095821,94115201,94127489,94135949,94159469,94163309,94179629,94180301,94181249,94183181,94185089,94186241,94186769,94472625,94681934,94766104,95173982,95228406,95429451,95935950,96479774,96714018,97086232,97291214,97341655,97676864,97814277,99112984,99164427,99357639,99715245,...,943013773935186564912093213346026841521043387623706952552529243929185581420738263130482314137514773987473185574286544671456703696411588348532086106044327799977873891656019396960543739844312818782853681167487269885309698825711319588226700979511063405124081155566294474604774284092491081024846869424934724729605084945685643478873956890456341810210783378828755921248645766626595933122766868744710960749450532611416399712307657195232705275125510205064976900119309114187239736865465479856195388537689550641853948427080622404827012714491229314855306197508570709976587488258560099962818034950042297006003153953845110366587982510841228514381170055878211269613194409738922446776916571865965348716181406564818650046683133195236786336294311715548241818356783322138210427054087682287520517446278172664001985170144617665286658211549031481449168735442381941350906748238706518829719326795753389109839386963894327226347348224691946290599035414805398210105397854969171079890167742049905172483667458898094250492956637979305937561678091241597662369895823481850921426531377638917008312719791440262436362007944655024339461614801949067660549616580183086515974993377735017899498688339809076761761540449450833995001057590953680950292270046837765401148428363790843596827167157234833843986495989546687947025021015706338727158445269428001441099310831182299456786184097525579362778520066400292157798657965161836178757650526583971817615873764418772837493331585407828578105585398476370811198350759748243815910711674215034693721963635371035626881517086495167693536978476780468119656517593355615712528048951961990828067623189985616490466997492279637108035668196222291447782546166448107540598326973872436813140291934698293023693233978724744163961111715200824290293210101458303127849714756797005716717410692600641876468533414381007027240203995312207090594357646382737285825967625996586683912135484032115750475004520398685671233210844337368061864303277209846411201912204578876775998207175030041368364173182495667452973151307727150240744731092796714151996092446682397029502411098264596860095767407847064104844648112548949643049062063094093858931719879343746814544065270547683140459796252060487110369052516690155841451979050848271238823167832745417596864296954101785138372583484415156308197699327841097001339561241504697382112630433636721505120007130244072016216206999052809932801767933990147670599640289062208674436058871376439682564330014383585845107083901621564938815228622804899800405268579282622692572262514228684347508760990463216542993098834301413478533595164286972517564085421619271750469670319030633836608150520224010437214443257608725581838650979539730249110731192791918210057754776158037230789662443259401820104454325147229843139657447677454830142719673179091487030723563246387262845382299934349311953998132248532640557751230669083059666994211043234379881308860156087429866735154155001845380372943414844081965766880040727820403719399556604549287484810109973184188160172738618777013458816464565383534254110588251559588920727270832803769945124366425977794703442994949602368746233907344931290500259996090388637477849}
19411  29939157797664684246968366585373109074116932316563893911031581852621641: {291045,310448,349254,988941,1685973,1764581,1841765,2210118,2307053,2520830,2772341,2986214,3024996,3120341,3295790,3954948,4050629,4203941,4266020,4283201,4457630,4691654,4786613,5119224,5158173,5349156,5759127,6005630,6195621,6240038,6993653,7056545,7056868,7206756,7248494,7601272,7865438,8100422,8467854,8551431,8565518,8608773,8914340,9364865,9608501,10081240,10180275,10310692,10697208,10858960,11236340,11237838,11341395,11353701,11585054,11942392,12034359,12097488,12119375,12216330,12514958,13030752,13062261,13101556,13390565,13435191,13483608,13609674,13726430,13916021,14248421,14425221,14495492,14543250,14659596,14729560,15110465,15169059,15445173,15512800,15994275,16068678,16471716,16570755,17060560,17451900,17673341,17675472,18132558,18450712,18477053,18540545,18615360,19110965,19193130,19605476,19840613,19856384,19880030,19884906,19949223,20048321,20472672,20619256,20757051,20942280,21389045,21672293,22171864,22248654,22338432,22340513,22395188,22448678,22488053,22933158,23031756,23196663,23288741,23560065,23749075,23856036,24338561,24710775,24943347,25130736,25247630,25537773,25666854,25687781,25954061,26200408,26203701,26358160,26395790,26486453,26795453,26924381,27291614,27332513,27615075,27864741,28168181,28272078,28498890,28858773,29328161,29456080,29475459,29652930,29941541,30297156,30398816,30450293,30515198,31629792,31674948,31972589,32069540,32125790,32131265,32158173,32327981,32811701,33138090,33269630,33576422,33927250,34198668,34491941,34591515,34801013,35084453,35176515,35238581,35347296,35583516,36268708,36532229,36696830,36897616,37037091,37066773,37077230,37285313,37521616,37732865,37748573,37807022,37837790,37878701,38042661,38265029,38281048,38483448,38550948,38557518,38781998,38988020,39765708,39923556,40712700,40776461,40877153,41076545,41180375,41188334,41509818,41567955,41597453,41750501,42211818,42354053,42499109,42773630,43066179,43293879,43426880,43593140,44036196,44091775,44192141,44339152,44492676,44722613,45279438,45405348,45779781,46067765,46182830,46255022,46785624,46785795,47075021,47133854,47268149,47690981,47949758,48291809,48467500,48855240,48906053,48986933,49242039,49284381,49291854,49416450,49689941,49881546,49904848,50340830,51328356,51343553,51370214,51579365,51812440,52112256,52122662,52132001,52231795,52311768,52447701,52633827,52701758,52710880,52910130,53289101,53661998,54112430,54489998,54962145,55281318,55419396,55527494,55606181,55697375,56142954,56437472,57241541,57600545,58145765,58161000,58288995,58621475,58626288,58850739,58894022,59118401,59299740,59541158,60018881,60261501,60408996,60505790,60611453,60734355,60921953,61324276,61539053,61722115,61895238,62038400,62174928,62678154,62988250,63041421,63098222,63131630,63172853,63253056,63492156,63928541,63950081,64119398,64221495,64488053,64783312,64934916,65003981,65275982,65343413,65431125,65524733,65716541,65954574,66066629,66415341,66810101,66836850,67250030,67492301,67550078,67898165,68350622,68502928,68534788,68548773,68600558,68809421,68854721,69120654,69430229,69443141,69459861,69774918,69793200,69865790,69946794,70066173,70345770,70469798,70654694,70668902,70985630,71159688,71292640,71578173,71659265,71774369,72023201,72606948,72881226,73116967,73136789,73386020,73685901,73986141,74031182,74066538,74446080,74616850,75035488,75222014,75585900,75684422,75757956,75769118,76077771,76278053,76469045,76648721,76896629,76976661,77065794,77168741,78087398,78166821,78170189,78517350,78632801,79104221,79128545,79409152,79514462,79868453,79945581,79958741,80054649,80204220,80536773,80624960,80700036,80707814,81141053,81364541,81384772,81477798,81773630,81779045,82920341,83378213,83676581,83751840,83838948,84065781,84212549,84414924,84950453,85182756,85467256,85527021,85551168,85939061,85991118,86067518,86401173,86587790,86723861,87797668,87838253,87891749,88063224,88174450,88241741,88437182,88827989,89152565,89335296,89540220,89831453,90181315,90266933,90514781,90568775,90703080,90796901,90812612,90848213,91283429,91421187,91599140,91681661,91762854,92125790,92812865,92862830,93067562,93272132,93416942,94220820,94954254,95416565,95509568,95604501,95800901,95871302,96128513,96150663,96197438,96236056,96245064,96749952,97055861,97401892,97512353,97548821,97906840,98064161,98128356,98134854,98454029,99071127,99280173,99465701,99615053,99860861,...,1257351698580248753216124284461369122028057850164942603403372325238914108560984350840643085516686365316630914099048726228608938261882117798042781474725770399970498522208025862614058319792417091710471574889983026513746265100948426117635601306014751206832108207421725966139699045456654774699795825899912966306140113260914191305165275853941789080281044505105007894998194355502127910830355824992947947665934043481888532949743542926976940366834013606753302533492412152249652982487287306474927184716919400855805264569440829873102683619321639086473741596678094279968783317678080133283757379933389729341337538605126813822117310014454971352508226741170948359484259212985229929035888762487953798288241875419758200062244177593649048448392415620730989091142377762850947236072116909716694023261704230218669313560192823553715544282065375308598891647256509255134542330984942025106292435727671185479785849285192436301796464299589261720798713886407197613473863806625561439853556989399873563311556611864125667323942183972407916748904121655463549826527764642467895235375170185222677750293055253683248482677259540032452615486402598756880732822106910782021299991170313357199331584453078769015682053932601111993334743454604907933723026729117020534864571151721124795769556209646445125315327986062250596033361354275118302877927025904001921465747774909732609048245463367439150371360088533722877064877286882448238343534035445295756821165019225030449991108780543771437474113864635161081597801012997658421214282232286712924962618180494714169175356115326890258049304635707290826208690124474154283370731935949321104090164253314155320622663323039516144047557594963055263710061555264143387464435965163249084187055912931057364924311971632992218614815620267765720390946801944404170466286342396007622289880923467522501958044552508009369653605327082942787459143528510316381101290167995448911882847312042821000633339360531580894977614459116490749152404369613128548269216272771835701330942900040055157818897576660889937297535076969533654326308123728952202661456595576529372669881464352795813461023210462752139792864150065266190732082750792125145242293172458329086058753694063577520613061669413982813825403355586874455269305401131028318430890443660556795819062605469046851163444645886875077596932437121462668452748322006263176150173911515628673493342840325429354954942665403746577069023911986863560799520385416278232581411828501919576752440019178114460142778535495419918420304830406533067207024772376830256763016685638245796678347987284288723990798445735217971378126885715963356752113895492362333959560425374178448810867360298680582952591010144967442451534639386306998814308257055890946743673034877382974386216591012535760139272433529639790852876596903273106856959564238788649374298084328516350460509733245799082605330842998043520743668307558777412889325614724312506508411813541449906488980205540002460507163924553125442621022506720970427204959199408806065716646413479964245584213563651491702684611755286087178045672147451002079451894303027777071693260165821901303726271257326599469824994978543126575054000346661453851516637132}
19412  30057061007250095935659328888211364381475356631779056610335657894142991: {271642,388060,465672,523881,600811,736858,891802,1124098,1201498,1318588,1433602,1527307,1988827,2247964,2678947,2946824,3137587,3315177,3480811,3709267,3781245,3823387,3900418,4033328,4207618,4392907,4479321,4537494,4943685,5187211,5273264,5280802,5332525,5816218,5932422,6315811,6399030,6651113,6656002,6686445,6825632,6877564,6884698,7037481,7132208,7341658,7569922,7645978,7678836,8023734,8217907,8260828,8329147,8709082,8784898,8821085,9008445,9360057,9437587,9501590,9609008,10297858,10373338,10449593,10585302,10810134,10872741,11142925,11290472,11401908,11478364,11632867,11798157,12150633,12601550,12630298,12701781,12848277,12855202,12888365,13371510,13573700,13678618,13691707,14014411,14045425,14201602,14262944,14425498,14927990,14983784,15096322,15121860,15138268,15245218,15405307,15466038,15542818,15937027,16045812,16129984,16144373,16288440,16359898,16376945,16854510,16856757,16995067,17374336,17377581,17416348,17544922,17913588,17978144,18041849,18119365,18146232,18324495,18411950,18578458,18772437,18873178,18985507,19233628,19391000,19400381,19546128,19652334,20225412,20414511,20416258,20538547,20589645,20593564,21325700,21424904,21514138,21743238,21814875,21871411,21962288,21989394,22075387,22094340,22380811,22826842,22925357,23045122,23063390,23190562,23192107,23269200,23394211,23567296,24103017,24176744,24496642,24506845,24707574,24786178,24820480,25200187,25590840,25598347,25774070,25793449,25869658,26094427,26177850,26513208,26518018,26588707,26598964,26687347,26877658,27198837,27296896,27375811,27595738,27669787,27676068,27714830,27923040,27993985,28789695,28812802,28839211,29408214,29516587,29664872,29784576,29820045,29827359,30094387,30577544,30594202,30709008,30736282,30928884,30956227,31413420,31527547,31799842,31808048,32190811,32285414,32662411,32750510,32831414,32850547,32859802,32947700,33257796,33372981,33495917,33507648,33564442,33592782,33673017,34050364,34222472,34337698,34399737,34547634,34716067,34938268,34993411,35179042,35270107,35638027,35668762,35784054,35808538,36018082,36227482,36552787,36715522,36820100,37133218,37152988,37272322,37696104,37871445,37897498,37911427,37998520,38174938,38181211,38478364,38500281,38796758,39213058,39300612,39537240,39593685,39850261,40086925,40178722,40385242,40396208,40404211,40580107,40591618,40937421,41072602,42100642,42173056,42233264,42408117,42562481,42748335,42877564,43056898,43261402,43465762,43666742,44184120,44479395,44688898,44715211,44883907,45304387,45335885,45388267,45445734,45598224,45772797,46122020,46311682,46379098,46513882,46715938,46783258,46902020,47129728,47215411,47444688,47512422,47791138,47851310,48104310,48188685,48735025,49129378,49249411,49329562,49382788,49422364,49707135,49890787,49904445,50289307,50364633,50723548,50890875,51191002,51298002,51311264,51389698,51395587,51401264,51410024,51522082,51630811,51720538,52117018,52183042,52254907,52776538,52797211,53020944,53105698,53182411,53231408,53303002,53368738,53375274,53697178,53718667,54283600,54403062,54491425,55045245,55346424,55423940,55615845,55659418,55679587,55828411,56050138,56282424,56440282,56685398,56710533,56756685,57421572,57607258,57671938,57725172,57809347,57826422,57836277,57865882,58172997,58482030,58529707,58714928,58958467,59026522,59242867,59323568,59648562,59885334,59940062,59948827,60117922,60372584,60540464,60584375,60717067,61039708,61069050,61523458,61782501,61887211,61905442,62227411,62264727,62380832,62381060,62700667,62767987,62857882,62984602,63317727,63370627,63427618,63743578,64099267,64160445,64374298,64688947,64765550,65140320,65389710,65401747,65630938,65656052,65712508,65722472,65888600,66054294,66508728,66569218,66739014,66926707,66943522,67566082,67735411,67919157,68043211,68108022,68437808,68991898,69274245,69382533,69424162,69435907,69483008,69733627,69749024,69930268,69970507,70163362,70178436,70470682,70546840,70700781,70732411,71195227,71424907,71596411,71757058,71924637,71994067,72028814,72163411,72184282,72275947,72367138,72701250,73036378,73165867,73282860,73708424,73892528,73937781,74124675,74308642,74783849,74822319,74857272,75092698,75511245,75776587,75814042,75934042,76084387,76338907,76353538,76655345,76992534,77011162,77055321,77190811,77249818,77535547,77548000,77718660,77779627,77904802,78021907,78070147,78166411,78168384,78183993,78320602,78467652,78498562,78501067,78785107,79031578,79052637,79066320,79113211,79365195,79681282,80348668,80387842,80492997,80545328,80974882,80979140,81007747,81092098,81150682,81168645,81326338,81354211,81618778,81653587,81734997,82116907,82144162,82319002,82526984,82899904,82921977,83016922,83129094,83137507,83291241,83570872,83596762,83770402,84055228,84206549,84214431,84337408,84378211,84656208,85007347,85116211,85154338,85224427,85441498,85628660,85668485,85670938,85720867,85894747,85929307,86169211,86579888,86671411,86814298,86835211,87093547,87241500,87252667,87719227,87939432,88341033,88553788,88743322,88744867,88949610,89115800,89157427,89194522,89291347,89311737,89553787,89656747,89733211,90057067,90105811,90274147,90430042,90541978,90613494,90758685,90765658,90807101,91398364,91493827,91602178,91630411,91713442,91732525,91737653,91819411,91986414,92124187,92160872,92209867,92310307,92375827,92379682,92550067,92613148,92767258,92802211,92842857,92940811,93033224,93033547,93057600,93072211,93098842,93172147,93262392,93313411,93421564,93726187,93766867,93794360,93828211,93850027,94017231,94035202,94056667,94074667,94114627,94135147,94147387,94168411,94195411,94199962,94200811,94202467,94205707,94482375,94583842,94647333,94697445,94879584,95238234,95437564,96179097,96220162,96809264,97174968,97303042,97402374,97464922,97913973,98247868,98433178,98648188,98755384,98931861,99261440,99556258,99769378,...,1886027547870373129824186426692053683042086775247413905105058487858371162841476526260964628275029547974946371148573089342913407392823176697064172212088655599955747783312038793921087479688625637565707362334974539770619397651422639176453401959022126810248162311132588949209548568184982162049693738849869449459210169891371286957747913780912683620421566757657511842497291533253191866245533737489421921498901065222832799424615314390465410550251020410129953800238618228374479473730930959712390777075379101283707896854161244809654025428982458629710612395017141419953174976517120199925636069900084594012006307907690220733175965021682457028762340111756422539226388819477844893553833143731930697432362813129637300093366266390473572672588623431096483636713566644276420854108175364575041034892556345328003970340289235330573316423098062962898337470884763882701813496477413037659438653591506778219678773927788654452694696449383892581198070829610796420210795709938342159780335484099810344967334917796188500985913275958611875123356182483195324739791646963701842853062755277834016625439582880524872724015889310048678923229603898135321099233160366173031949986755470035798997376679618153523523080898901667990002115181907361900584540093675530802296856727581687193654334314469667687972991979093375894050042031412677454316890538856002882198621662364598913572368195051158725557040132800584315597315930323672357515301053167943635231747528837545674986663170815657156211170796952741622396701519496487631821423348430069387443927270742071253763034172990335387073956953560936239313035186711231425056097903923981656135246379971232980933994984559274216071336392444582895565092332896215081196653947744873626280583869396586047386467957449488327922223430401648580586420202916606255699429513594011433434821385201283752937066828762014054480407990624414181188715292765474571651935251993173367824270968064231500950009040797371342466421688674736123728606554419692822403824409157753551996414350060082736728346364991334905946302615454300481489462185593428303992184893364794059004822196529193720191534815694128209689296225097899286098124126188187717863439758687493629088130541095366280919592504120974220738105033380311682903958101696542477646335665490835193728593908203570276745166968830312616395398655682194002679122483009394764225260867273443010240014260488144032432413998105619865603535867980295341199280578124417348872117742752879365128660028767171690214167803243129877630457245609799600810537158565245385144525028457368695017521980926433085986197668602826957067190328573945035128170843238543500939340638061267673216301040448020874428886515217451163677301959079460498221462385583836420115509552316074461579324886518803640208908650294459686279314895354909660285439346358182974061447126492774525690764599868698623907996264497065281115502461338166119333988422086468759762617720312174859733470308310003690760745886829688163931533760081455640807438799113209098574969620219946368376320345477237554026917632929130767068508221176503119177841454541665607539890248732851955589406885989899204737492467814689862581000519992180777274955698}
19413  30175425220334580281104812077708034332805148869783884084124774296123066: {407463,485075,582090,620896,698508,1105287,1337703,1648235,1686147,1802247,1977882,2150403,2346311,2578471,2809955,3276403,3371946,3529162,3683530,4420236,4614106,4787107,4902887,5041660,5544682,5600531,5850627,5972428,6049992,6179987,6240682,6311427,6591580,6806241,7574843,7909896,7921203,8101258,8407882,8532040,8566402,8596955,8724327,8898633,8915260,9383308,9573226,9598545,9879163,9984003,10238448,10316346,10326035,10327047,10698312,11012487,11354883,11468967,11518254,12011260,12035601,12391242,12480076,13063623,13110811,13177347,13987306,14113090,14113736,14252385,14347955,14413512,14496988,15202544,15446787,15560007,15730876,15877953,16200844,16215201,16839043,16935708,16967125,17102862,17131036,17217546,17638247,17828680,18729730,18746791,18902325,18922835,18945447,19217002,19282803,20057265,20162480,20360550,20517927,20621384,21154651,21302403,21394416,21443411,21638247,21717920,21770435,22391985,22406947,22472680,22475676,22644483,22682790,22707402,22867827,23170108,23199057,23314227,23884784,23976227,24042035,24068718,24194976,24238750,24432660,24539847,25029916,25281765,25741955,25956763,26061504,26124522,26203112,26317383,26657125,26755351,26781130,26870382,26967216,27219348,27452860,27617925,27832042,27867687,28309767,28496842,28850442,28990984,29086500,29319192,29459120,29478501,29944663,30220930,30338118,30624387,30758803,30890346,31025600,31547927,31819723,31988550,32137356,32271207,32614857,32943432,32984091,33141510,33248705,34121120,34240263,34567683,34595085,34785843,34903800,35086691,35346682,35350944,36265116,36744963,36901424,36954106,37061361,37081090,37179267,37230720,37785787,38221930,38386260,38661105,38804487,39210952,39266775,39509147,39681226,39712768,39760060,39769812,39777027,39898446,40096642,40316487,40362311,40763203,40945344,41184625,41238512,41393607,41514102,41572245,41884560,41980187,42562955,42675671,42778090,43219203,43344586,43672835,43696267,44112321,44343728,44497308,44676864,44681026,44790376,44808347,44854211,44897356,44976106,44983771,45222307,45866316,45891303,46025125,46063512,46104423,46393326,46441235,46457507,46491271,46577482,47120130,47498150,47699763,47712072,47867011,48097955,48190363,48428121,48677122,49125765,49247121,49289703,49421550,49886694,50261472,50346663,50379527,50389173,50495260,50647507,51075546,51333708,51375562,51506547,51821451,51908122,52400816,52407402,52716320,52768563,52791580,52826011,52972906,53503143,53590906,53596955,53676081,53712807,53848762,54027123,54341223,54583228,54665026,55073283,55230150,55369127,55699827,55729482,55908483,56185211,56336362,56544156,56846247,56997780,57262407,57383971,57507163,57652525,57717546,58027367,58195137,58627525,58656322,58819587,58912160,58950918,59103011,59305860,59558407,59883082,60268083,60354227,60577863,60594312,60797632,60887427,60900586,61030396,61608903,61728485,61777955,63150963,63259584,63349896,63404435,63945178,64139080,64251580,64262530,64316346,64494871,64585347,64655962,64892103,65123467,65198643,65500113,65623402,65640467,66073507,66276180,66539260,67033347,67152844,67854500,68168601,68397336,68983882,69183030,69279925,69467523,69568647,69602026,69770823,70073907,70168906,70174887,70353030,70477162,70694592,71167032,71268633,71686707,71776965,72156465,72211111,72537416,72584507,73064458,73124513,73393660,73449403,73694067,73795232,73994343,74074182,74133546,74154460,74570626,75043232,75465730,75497146,75614044,75675580,75757402,75904643,76085322,76299635,76530058,76562096,76786503,76904647,76947003,76966896,77084547,77101896,77115036,77283123,77563996,77580807,77665003,77703811,77834891,77976040,77976325,78175527,78274563,79091687,79164807,79531416,79658547,79847112,79954503,80053107,80062911,80387683,80545767,80640763,81356627,81404071,81425400,81552922,81604593,81754306,82053907,82070065,82140635,82153090,82360750,82376668,83019636,83135910,83194906,83489127,83501002,83618291,83813411,84075207,84423636,84660423,84708106,84998218,85028097,85333543,85547260,86132358,86410887,86410961,86434387,86507907,86587758,86739633,86798823,86853760,87186280,87412835,87723045,88072392,88183550,88384282,88539783,88678304,88985352,89226947,89445226,89472843,89828001,89910093,90020311,90176883,90451051,90558876,90810696,91559562,91603575,92135530,92285187,92365660,92387207,92510044,92858163,92876587,93571248,93571590,94150042,94264243,94267708,94286823,94476903,94536298,95057431,95141427,95381962,95615367,95899516,96381587,96561447,96583618,96853511,96935000,97113607,97148325,97710480,97812106,97973866,98084565,98446407,98484078,98568762,98583708,98832900,98935891,99081441,99379882,99763092,99809696,99853827,...,2829041321805559694736279640038080524563130162871120857657587731787556744262214789391446942412544321962419556722859634014370111089234765045596258318132983399933621674968058190881631219532938456348561043502461809655929096477133958764680102938533190215372243466698883423814322852277473243074540608274804174188815254837056930436621870671369025430632350136486267763745937299879787799368300606234132882248351597834249199136922971585698115825376530615194930700357927342561719210596396439568586165613068651925561845281241867214481038143473687944565918592525712129929762464775680299888454104850126891018009461861535331099763947532523685543143510167634633808839583229216767340330749715597896046148544219694455950140049399585710359008882935146644725455070349966414631281162263046862561552338834517992005955510433852995859974634647094444347506206327145824052720244716119556489157980387260167329518160891682981679042044674075838871797106244416194630316193564907513239670503226149715517451002376694282751478869913937917812685034273724792987109687470445552764279594132916751024938159374320787309086023833965073018384844405847202981648849740549259547924980133205053698496065019427230285284621348352501985003172772861042850876810140513296203445285091372530790481501471704501531959487968640063841075063047119016181475335808284004323297932493546898370358552292576738088335560199200876473395973895485508536272951579751915452847621293256318512479994756223485734316756195429112433595052279244731447732135022645104081165890906113106880644551259485503080610935430341404358969552780066847137584146855885972484202869569956849471400992476838911324107004588666874343347638499344322621794980921617310439420875804094879071079701936174232491883335145602472870879630304374909383549144270391017150152232077801925629405600243143021081720611985936621271783072939148211857477902877989760051736406452096347251425013561196057013699632533012104185592909831629539233605736613736630327994621525090124105092519547487002358919453923181450722234193278390142455988277340047191088507233294793790580287302223541192314533944337646848929147186189282281576795159638031240443632195811643049421379388756181461331107157550070467524355937152544813716469503498236252790592890862305355415117750453245468924593097983523291004018683724514092146337891300910164515360021390732216048648620997158429798405303801970443011798920867186626023308176614129319047692990043150757535321251704864694816445685868414699401215805737847868077716787542686053042526282971389649628979296502904240435600785492860917552692256264857815251409010957091901509824451560672031311643329772826176745515952938619190747332193578375754630173264328474111692368987329778205460313362975441689529418972343032364490428159019537274461092170689739161788536146899803047935861994396745597921673253692007249179000982633129703139643926580468262289600205462465005536141118830244532245897300640122183461211158198669813647862454430329919552564480518215856331040376449393696150602762331764754678766762181812498411309835373099277933384110328984848807106238701722034793871500779988271165912433547}
19414  30294252226585368508552762200236631739612300940798870400954384372478783: {213433,445993,543284,776120,794293,873135,931344,1047762,1201622,1473716,1783604,2181013,2248196,2402996,2637176,2867204,2966823,3054614,3977654,4469173,4495928,4809913,4923349,5057919,5293743,5357894,5525295,5602453,5893648,6275174,6302075,6630354,6921159,6961622,7288873,7418534,7465535,7562490,7624213,7646774,7800836,8066656,8239475,8317023,8415236,8785814,8848249,8958642,9074988,9361023,9512233,9887370,10374422,10546528,10561604,10665050,11144075,11597749,11632436,11729135,11864844,12033493,12151887,12349519,12611823,12631622,12793273,12798060,12849603,13117813,13302226,13312004,13372890,13651264,13755128,13769396,13872553,14074962,14264416,14359839,14683316,14837749,15014075,15139844,15264853,15291956,15357672,15371449,15474519,15600095,16047468,16435814,16521656,16658294,16856233,17277381,17418164,17569796,17593333,17642170,17908153,18016890,18043711,18121235,18586863,18640213,18720114,18875174,19003180,19218016,19472533,19663595,20197033,20251055,20595716,20746676,20899186,20980959,21169635,21170604,21225913,21413795,21533173,21620268,21745482,22247593,22285850,22580944,22803816,22927723,22956728,23262073,23265734,23596314,24301266,24670249,24770293,25203100,25260596,25367111,25403562,25654293,25667449,25696554,25710404,25766773,25776730,25796111,25826319,26743020,26756053,27051433,27147400,27247993,27357236,27383414,28028822,28090850,28094595,28403204,28525888,28615849,28825503,28850996,28962635,29584249,29855980,29967568,30192644,30243720,30276536,30483167,30490436,30540825,30641173,30810614,30932076,31085636,31287395,31499449,31874054,32091624,32259968,32288746,32576880,32719796,32753890,33709020,33713514,33759673,33990134,34024185,34061103,34309583,34316075,34748672,34755162,34781749,34832696,35089844,35243449,35795113,35827176,35956288,36069973,36083698,36103077,36161449,36238730,36292464,36358125,36648990,36823900,37156916,37544874,37746356,37971014,37975849,38467256,38782000,38800762,39092256,39186783,39191579,39304668,39317749,40171695,40305573,40450824,40555573,40731253,40829022,40832516,41077094,41179290,41187128,41748063,41952949,42651400,42730873,42745263,42849808,42902953,43028276,43275663,43486476,43588393,43629750,43742822,43924576,43978788,44150774,44188680,44538527,44761622,45281833,45331395,45507177,45653684,45700693,45850714,45867733,46090244,46126780,46335519,46381124,46384214,46538400,46788422,47095763,47134592,47358133,47982825,48206034,48257449,48353488,48744313,48993284,49013690,49415148,49572356,49640960,49700075,49712265,50400374,51181680,51196694,51548140,51586898,51739316,51767593,52157653,52188854,52355700,53020023,53026416,53036036,53177414,53197928,53374694,53470393,53755316,53776249,54397674,54535849,54593792,54611413,54751622,55191476,55339574,55352136,55429660,55431159,55587193,55621635,55846080,55987970,56033449,56107573,56121695,57137749,57210793,57332895,57579390,57625604,57678422,57864949,58816428,58942249,59033174,59329744,59521839,59569152,59640090,59654718,59721973,59847669,60073513,60144963,60188774,60701749,61048249,61155088,61188404,61418016,61472564,61667413,61804213,61857768,61912454,62271153,62826840,63055094,63089449,63119075,63470239,63599684,63616096,64167135,64348693,64381622,64479733,64570828,64806073,65016879,65324822,65388949,65501020,65662828,65701094,65719604,65895400,65989475,66029749,66515592,66663349,66726313,66745962,66991834,67015296,67021539,67128884,67185564,67289749,67346034,67351993,67464159,67600249,67970473,68100728,68229035,68444944,68581753,68675396,68799474,68884693,69065593,69095268,69432134,69589989,69866223,69876536,69986822,70019449,70078453,70358084,70540214,70680195,70838953,70896949,71247225,71276054,71337524,71568108,71617076,71758249,72036164,72098233,72454964,72881449,73015683,73105574,73431044,73640200,73650553,74132325,74244949,74266436,74305976,74458933,74544644,74830041,75093973,75392208,75511573,75742890,75794996,75821749,75822854,75997040,76287995,76349876,76362422,76383673,76535413,76585849,76613319,76786873,76956728,77000562,77063343,77135893,77593516,77774713,77823349,77862183,78113653,78305749,78426116,78601224,78611103,78969013,79074480,79187370,79434133,79459359,79700522,79937449,80173850,80314475,80357444,80386359,80770484,80773143,80792416,80808422,80830249,81160214,81183236,81222613,81736693,81874842,81905749,81997539,82145204,82364713,82529449,82693033,82845225,83174075,83594223,83767093,83883193,83941055,84075253,84201284,84346112,84466528,84504543,84816234,84818125,85124962,85189813,85496670,85546933,85755128,85792633,86113796,86408233,86441749,86522804,86576319,86772949,86903413,86931524,86968213,87333484,87692713,87875449,87984483,87995833,88203733,88368240,88426377,88465849,88958790,89054773,89270773,89297449,89377796,89429749,89430422,89560249,89714473,89767814,89815849,89824623,90423349,90562453,90608774,90653749,90671770,90776534,90891468,91196448,91350879,91545594,91620853,91742075,91866553,92064949,92082553,92237749,92244040,92483449,92623364,92693075,92758196,93027764,93173173,93304249,93372073,93415849,93431876,93566516,93654313,93804040,93927733,93971833,93989653,94044373,94069033,94078393,94116949,94171093,94179193,94218793,94259456,94430822,94517555,94594475,94889376,95024844,95582276,95702620,95917767,96208620,96377370,96393795,96474519,96954995,96983943,97470050,98258756,98435103,98498822,98659124,98765576,98844728,99414270,99781574,99808890,...,3772055095740746259648372853384107366084173550494827810210116975716742325682953052521929256550059095949892742297146178685826814785646353394128344424177311199911495566624077587842174959377251275131414724669949079541238795302845278352906803918044253620496324622265177898419097136369964324099387477699738898918420339782742573915495827561825367240843133515315023684994583066506383732491067474978843842997802130445665598849230628780930821100502040820259907600477236456748958947461861919424781554150758202567415793708322489619308050857964917259421224790034282839906349953034240399851272139800169188024012615815380441466351930043364914057524680223512845078452777638955689787107666287463861394864725626259274600186732532780947145345177246862192967273427133288552841708216350729150082069785112690656007940680578470661146632846196125925796674941769527765403626992954826075318877307183013556439357547855577308905389392898767785162396141659221592840421591419876684319560670968199620689934669835592377001971826551917223750246712364966390649479583293927403685706125510555668033250879165761049745448031778620097357846459207796270642198466320732346063899973510940071597994753359236307047046161797803335980004230363814723801169080187351061604593713455163374387308668628939335375945983958186751788100084062825354908633781077712005764397243324729197827144736390102317451114080265601168631194631860647344715030602106335887270463495057675091349973326341631314312422341593905483244793403038992975263642846696860138774887854541484142507526068345980670774147913907121872478626070373422462850112195807847963312270492759942465961867989969118548432142672784889165791130184665792430162393307895489747252561167738793172094772935914898976655844446860803297161172840405833212511398859027188022866869642770402567505874133657524028108960815981248828362377430585530949143303870503986346735648541936128463001900018081594742684932843377349472247457213108839385644807648818315507103992828700120165473456692729982669811892605230908600962978924371186856607984369786729588118009644393058387440383069631388256419378592450195798572196248252376375435726879517374987258176261082190732561839185008241948441476210066760623365807916203393084955292671330981670387457187816407140553490333937660625232790797311364388005358244966018789528450521734546886020480028520976288064864827996211239731207071735960590682398561156248834697744235485505758730257320057534343380428335606486259755260914491219599201621074317130490770289050056914737390035043961852866171972395337205653914134380657147890070256341686477087001878681276122535346432602080896041748857773030434902327354603918158920996442924771167672840231019104632148923158649773037607280417817300588919372558629790709819320570878692716365948122894252985549051381529199737397247815992528994130562231004922676332238667976844172937519525235440624349719466940616620007381521491773659376327863067520162911281614877598226418197149939240439892736752640690954475108053835265858261534137016442353006238355682909083331215079780497465703911178813771979798409474984935629379725162001039984361554549911396}
19415  30413543822567750407272417308141792329097097045133046348506323759412962: {679105,814926,970150,1164180,1241792,1397016,1571643,1802433,1842145,2210574,2229505,2307529,2675406,2772913,2810245,3003745,3296470,3372294,3584005,3604494,3625369,3933937,3955764,4300806,4581921,4692622,4903393,5156942,5601109,5619910,5794321,5966481,6259417,6552806,6606193,6743892,7058324,7303621,7367060,8036841,8466001,8840472,9228212,9412761,9574214,9751045,9805774,9945531,10083320,10442433,10519045,11089364,11127801,11201062,11343735,11470161,11701254,11944856,12035737,12099984,12359974,12481364,12622854,13178721,13183160,13202005,13437963,13612482,14456449,14540545,14831055,15099073,15149686,15561633,15819792,15842406,15997575,16202516,16640005,16815764,17064080,17132804,17193910,17211745,17448654,17797266,17830520,18354145,18766616,18924805,18947433,19114945,19146452,19197090,19758326,19953339,19968006,20059335,20087137,20476896,20632692,20652070,20654094,20845201,21112443,21396624,21772705,21868033,21962245,22024974,22709766,22937934,23036508,23753975,24022520,24071202,24653721,24782484,24960152,24987441,25342213,25744645,25933345,25945417,26127246,26221622,26234881,26354694,26463255,26491969,27025335,27772393,27974612,28080171,28226180,28227472,28312761,28335541,28504770,28695910,28827024,28993976,29035369,29214517,29714821,30405088,30478609,30893574,31120014,31348779,31461752,31503875,31575745,31755906,31827349,32138005,32401688,32430402,32436601,32498773,32618223,33428775,33658849,33678086,33871416,33934250,34196545,34205724,34262072,34435092,34898601,35276494,35338369,35394471,35504005,35657360,35742517,36038737,36063745,36451899,36596593,36860881,37319975,37459460,37493582,37536817,37740805,37804650,37845670,37890894,38105343,38113045,38434004,38544831,38565606,38665095,38857045,39214537,40114530,40324960,40366513,40721100,40784953,40899745,41035854,41075121,41242768,41621569,42043233,42136275,42173377,42309302,42604806,42788832,42886822,42907609,43276494,43435840,43540870,43862305,44028001,44783970,44813894,44945360,44951352,45288966,45365580,45414804,45509017,45695641,45735654,46029875,46215921,46340216,46398114,46446145,46548187,46628454,47050993,47182945,47700913,47769568,47811081,47952454,48084070,48137436,48389952,48433119,48477500,48757717,48865320,49079694,49130835,49661473,50059832,50131177,50563530,50570271,50801113,50985201,51040645,51483910,51913526,52123008,52132743,52249044,52406224,52634766,53314250,53510702,53543857,53562260,53740764,53785345,53934432,54125547,54238981,54259957,54358095,54438696,54596809,54905720,54973485,55235850,55374913,55664084,55735374,56317311,56619534,56956521,56993684,57067105,57612805,57658475,57700884,57767893,57976405,57981968,58173000,58201143,58483417,58638384,58918240,58925953,58957002,59523673,59539441,59588137,59889326,60441860,60676236,60778849,61141969,61241605,61243533,61248774,61517606,61615641,61768935,61780692,61965445,62051200,62365129,62400133,63095854,63157621,63518677,63639446,63977100,64274712,64435175,64542414,64674145,65017729,65229714,65436241,65444625,65614233,65886864,65968182,66226161,66283020,66295045,66497410,66556369,67142433,67194145,67337137,68242240,68480526,68776071,68842441,68989345,69135366,69190170,69287075,69444793,69571686,69576321,69807600,69849013,70173382,70182633,70693364,70701888,70930897,71620057,72032005,72309051,72530232,73489926,73520535,73802848,73908212,73975033,74122722,74162180,74358534,74461440,74629141,75035737,75571574,75600561,76249417,76443860,76472401,76476277,76485505,76772520,76795041,76840705,76852369,77322210,77380347,77608974,78084193,78283281,78421904,78486229,78533550,79018294,79099921,79362452,79425536,79499605,79520120,79539624,79554054,79766121,79796892,79809493,79975393,80062041,80193284,80632974,80713535,80724622,81526406,81596511,81876275,81890688,82078535,82127433,82149505,82369250,82477024,82787214,83009361,83028204,83123077,83144490,83627029,83769120,83911105,83960374,83981955,84524329,84834601,85125910,85351342,85556180,85844245,86369085,86419879,86438406,86489137,86517633,86689172,86991937,87345670,87392534,87947605,88224642,88549761,88687456,88766209,88994616,89171905,89353728,89362052,89460135,89482077,89521345,89580752,89616694,89708422,89794712,89950993,89952212,89967542,90040789,90045205,90283161,90444614,90568705,90910741,91460449,91732632,91782606,91788805,92050250,92127024,92208846,92786652,92833045,92868681,92882470,92915014,92982542,93077617,93085393,93154964,93180805,93455737,93579481,94240260,94379881,94582641,94743745,94996300,95246569,95399526,95424144,95437345,95734022,96148741,96195910,96380726,96391621,96572433,96856242,96991895,97155193,97354244,97987233,98032645,98251530,98494242,98551641,98579406,98663857,98843100,99052213,99703537,99773388,...,5658082643611119389472559280076161049126260325742241715315175463575113488524429578782893884825088643924839113445719268028740222178469530091192516636265966799867243349936116381763262439065876912697122087004923619311858192954267917529360205877066380430744486933397766847628645704554946486149081216549608348377630509674113860873243741342738050861264700272972535527491874599759575598736601212468265764496703195668498398273845943171396231650753061230389861400715854685123438421192792879137172331226137303851123690562483734428962076286947375889131837185051424259859524929551360599776908209700253782036018923723070662199527895065047371086287020335269267617679166458433534680661499431195792092297088439388911900280098799171420718017765870293289450910140699932829262562324526093725123104677669035984011911020867705991719949269294188888695012412654291648105440489432239112978315960774520334659036321783365963358084089348151677743594212488832389260632387129815026479341006452299431034902004753388565502957739827875835625370068547449585974219374940891105528559188265833502049876318748641574618172047667930146036769688811694405963297699481098519095849960266410107396992130038854460570569242696705003970006345545722085701753620281026592406890570182745061580963002943409003063918975937280127682150126094238032362950671616568008646595864987093796740717104585153476176671120398401752946791947790971017072545903159503830905695242586512637024959989512446971468633512390858224867190104558489462895464270045290208162331781812226213761289102518971006161221870860682808717939105560133694275168293711771944968405739139913698942801984953677822648214009177333748686695276998688645243589961843234620878841751608189758142159403872348464983766670291204945741759260608749818767098288540782034300304464155603851258811200486286042163441223971873242543566145878296423714955805755979520103472812904192694502850027122392114027399265066024208371185819663259078467211473227473260655989243050180248210185039094974004717838907846362901444468386556780284911976554680094382177014466589587581160574604447082384629067888675293697858294372378564563153590319276062480887264391623286098842758777512362922662214315100140935048711874305089627432939006996472505581185781724610710830235500906490937849186195967046582008037367449028184292675782601820329030720042781464432097297241994316859596810607603940886023597841734373252046616353228258638095385980086301515070642503409729389632891371736829398802431611475695736155433575085372106085052565942779299257958593005808480871201570985721835105384512529715630502818021914183803019648903121344062623286659545652353491031905877238381494664387156751509260346528656948223384737974659556410920626725950883379058837944686064728980856318039074548922184341379478323577072293799606095871723988793491195843346507384014498358001965266259406279287853160936524579200410924930011072282237660489064491794601280244366922422316397339627295724908860659839105128961036431712662080752898787392301205524663529509357533524363624996822619670746198555866768220657969697614212477403444069587743001559976542331824867094}
19416  30533301811771471975470800807849384814928782100308857890519784862843498: {252239,426866,562223,717023,833039,891986,1086568,1222389,1455225,1552240,1588586,1604639,1746270,1862688,1873943,2066063,2095524,2403244,2449703,2870783,2947432,3023663,3214583,3315861,3443423,3567208,3786143,4013109,4362026,4469639,4496392,4805992,4944705,5058441,5274352,5301503,5406741,5734408,5933646,6109228,6429623,6451209,6616943,7038933,7215023,7735413,7955308,8405039,8429865,8664263,8822905,8938346,8991856,9208825,9439583,9513239,9619826,9829209,9846698,10115838,10321343,10451749,10504463,10587486,10715788,10870103,11050590,11204906,11526239,11535265,11635343,11787296,12071039,12360863,12550348,12604150,12614039,13260708,13842318,13861705,13923244,14361321,14577746,14708661,14837068,14931070,15124980,15248426,15293548,15302039,15408623,15601672,15601705,16011239,16133312,16258703,16420789,16478950,16634046,16801593,16830472,17551881,17571628,17696498,17917284,18014903,18119639,18149976,18539961,18722046,18746543,18934281,19024466,19266983,19509239,19774740,19923623,20199239,20253145,20302463,20418723,20646023,20748844,21019705,21093056,21123208,21228239,21330100,21416005,21637823,21740039,21840133,22148183,22288150,22724529,23195498,23264639,23264872,23365703,23458270,23500343,23729688,23763609,23869943,23933065,24004103,24066986,24303774,24672983,24699038,24773039,25223646,25263244,25369729,25586546,25596120,25670303,25699206,25703423,25790865,25868903,26172981,26199263,26235626,26604452,26624008,26660423,26695899,26745780,26759039,27302528,27510256,27529033,27538792,27741239,27745106,28149924,28164623,28351477,28528832,28651463,28719678,28795635,28942703,29366632,29587583,29619743,29637489,29675498,29952009,29979313,30028150,30261263,30279688,30486313,30529706,30583912,30644639,30715344,30742898,30867743,30949038,30978105,30981141,31058663,31200190,31534703,32094936,32449943,32871628,32920703,33037461,33043312,33316588,33389663,33712466,33794639,34043183,34064649,34406901,34415039,34554762,34785743,34816583,34836328,34968265,35139592,35186666,35247503,35278223,35282725,35284340,35431703,35816306,36025561,36033780,36087422,36104639,36106803,36196103,36242470,36348383,37173726,37280426,37440228,37750348,37980263,38006360,38070239,38436032,38945066,39190869,39263039,39327190,39332433,39500063,39532041,39943103,40394066,40502110,40547689,40589639,40677503,41174039,41191432,41377823,41493352,41798372,41900039,41961918,42339270,42341208,42451826,42757155,42827590,43043865,43066346,43240536,43490964,43622039,43802353,44495186,44528663,44571700,44950823,45161888,45315239,45607632,45855446,45913456,46067783,46340361,46483343,46524146,46531468,46680021,46824325,47117039,47192628,47633859,47719223,47855543,48042505,48425903,48602532,48645603,48750239,48831143,49234583,49340498,49540586,50142383,50354639,50406200,50517129,50521192,50734222,50807124,50901375,51308586,51334898,51393108,51408239,51420808,51460583,51533546,51553460,51592222,51652638,51721823,52267823,52636441,52914741,53349239,53425943,53486040,53512106,53553623,53732039,53782943,53935463,54102866,54294800,54495986,54714472,54766828,55170263,55658629,56040503,56057644,56065223,56181700,56188703,56189190,56240373,56410463,56706975,56768505,56806408,56836341,56852039,57023063,57051776,57096239,57231698,57461039,57651006,57701992,57848409,57872303,57925270,58544639,58949783,58973543,59168498,59305343,59711960,59729639,59893943,59935136,60171795,60384503,60385288,60487440,60553072,60596875,60732743,60779039,60966334,60980872,61010039,61081650,61282346,61538303,61553781,61621228,61698239,61864152,62171272,62311463,62574790,62998898,63097703,63120023,63231503,63387239,63431663,63463953,63748108,63907209,64094183,64183248,64225823,64330233,64379039,64519936,64577492,64914741,65153760,65311305,65419103,65439592,65507780,65676239,66567143,66952825,67049039,67175955,67220841,67319543,67418040,67427028,67519346,67609343,67629983,67933449,67980268,68048370,68122206,68184239,68530223,68603481,68619166,68632150,68651783,68732663,68793239,68954423,69195239,69494639,69497344,69510324,69563498,69580105,69597171,69665392,69752663,69942681,69989639,70029023,70048703,70179688,70486898,71242105,71482823,71590226,71654352,71768183,71787143,71912576,71928681,72014039,72126105,72139946,72164663,72167396,72206154,72322898,72477460,72584928,72716250,73131239,73297980,73619541,73624583,73647800,74004263,74313832,74576039,74894063,75089748,75104639,75492712,75552325,75574223,75746663,75832583,75845295,75849743,75942028,75951698,76106183,76394639,76563239,76934512,77014463,77225865,77564000,77601524,77802239,77834663,77850863,77870289,78125039,78184512,78373566,78383158,78476423,78570373,78609336,78635498,78839639,78952149,79276103,79353383,79584023,79767239,79971375,80039903,80145239,80266053,80343390,80611146,80901648,81075623,81111146,81148103,81462506,81658044,81665032,81918143,81932183,82141823,82154188,82335863,82358580,82374256,82418543,82746383,82787039,82853775,82989239,83082983,83123039,83163023,83496126,83603061,83624183,83905898,84354239,84629063,84912239,84929301,84948863,85034039,85215239,85302800,85311143,85461746,85490526,85572239,85666223,85699616,85805906,85806239,85945103,85979639,86056552,86151239,86185343,86354783,86551326,86688263,86819639,86972952,87121703,87143039,87176786,87259500,87280943,87485644,87583703,87839303,87849152,87957576,88020239,88050143,88218239,88301548,88366705,88377360,88432343,88435503,88480463,88490063,89077054,89178263,89267903,89321303,89400863,89497223,89523244,89583983,89704103,89729639,89755103,89814239,89833989,89964503,90104039,90209183,90281183,90320903,90446663,90563666,90662790,90692039,90714623,90855983,91014354,91044743,91073303,91094639,91151183,91304039,91307368,91385783,91401386,91617623,91701428,91713983,91735466,91873161,92028143,92099039,92180488,92253560,92254343,92276409,92343623,92385265,92452343,92505503,92594039,92609423,92645039,92671038,92702725,92705183,92762248,92768428,92817239,92850503,92934239,93076703,93076800,93153239,93182303,93215039,93243263,93333239,93426239,93454943,93507383,93571223,93576844,93638423,93690239,93824063,93879239,93907703,93941663,93959039,94025303,94041863,94059503,94064639,94097039,94107623,94116383,94135703,94187183,94191526,94214639,94230623,94236239,94239023,94241783,94244303,94245143,94269184,94643781,94716266,95459169,95520649,95554825,95965650,96412068,96514898,96706976,96813621,97488626,97844571,97986568,98027380,98830296,98952273,99144712,99203065,99281920,99400150,99424530,99746115,...,8487123965416679084208838920114241573689390488613362572972763195362670232786644368174340827237632965887258670168578902043110333267704295136788774954398950199800865024904174572644893658598815369045683130507385428967787289431401876294040308815599570646116730400096650271442968556832419729223621824824412522566445764511170791309865612014107076291897050409458803291237811899639363398104901818702398646745054793502747597410768914757094347476129591845584792101073782027685157631789189318705758496839205955776685535843725601643443114430421063833697755777577136389789287394327040899665362314550380673054028385584605993299291842597571056629430530502903901426518749687650302020992249146793688138445632659083367850420148198757131077026648805439934176365211049899243893843486789140587684657016503553976017866531301558987579923903941283333042518618981437472158160734148358669467473941161780501988554482675048945037126134022227516615391318733248583890948580694722539719011509678449146552353007130082848254436609741813753438055102821174378961329062411336658292838782398750253074814478122962361927258071501895219055154533217541608944946549221647778643774940399615161095488195058281690855853864045057505955009518318583128552630430421539888610335855274117592371444504415113504595878463905920191523225189141357048544426007424852012969893797480640695111075656877730214265006680597602629420187921686456525608818854739255746358542863879768955537439984268670457202950268586287337300785156837734194343196405067935312243497672718339320641933653778456509241832806291024213076908658340200541412752440567657917452608608709870548414202977430516733972321013766000623030042915498032967865384942764851931318262627412284637213239105808522697475650005436807418612638890913124728150647432811173051450456696233405776888216800729429063245161835957809863815349218817444635572433708633969280155209219356289041754275040683588171041098897599036312556778729494888617700817209841209890983983864575270372315277558642461007076758361769544352166702579835170427367964832020141573265521699884381371740861906670623576943601833012940546787441558567846844730385478914093721330896587434929148264138166268544383993321472650211402573067811457634441149408510494708758371778672586916066245353251359736406773779293950569873012056051173542276439013673902730493546080064172196648145945862991475289395215911405911329035396762601559878069924529842387957143078970129452272605963755114594084449337057605244098203647417213543604233150362628058159127578848914168948886937889508712721306802356478582752658076768794573445754227032871275704529473354682016093934929989318478530236547858815857572241996580735127263890519792985422335077106961989334616380940088926325068588256917029097093471284477058611823383276512069217485365608440699409143807585983190236793765019761076021747537002947899389109418931779741404786868800616387395016608423356490733596737691901920366550383633474596009440943587363290989758657693441554647568993121129348181088451808286995294264036300286545437495233929506119297833800152330986954546421318716105166104381614502339964813497737300641}
19417  30653528004637233361419698613077507598849487912377918205682516257552819: {19417,640299,950747,1337979,1358210,1629852,1940300,2328360,2382879,2483584,2579003,2619405,2794032,3004055,3121307,3143286,3277079,3604866,3684290,3934343,4051883,4205243,4284527,4421148,4459010,4615058,5017607,5350812,5545826,5620490,5794919,6007490,6260063,6543039,6592940,6744588,6995819,7168010,7208988,7250738,7636535,7807319,7867874,7911528,8601612,8900469,9163842,9385244,9806786,9944135,10313884,11202218,11239820,11588642,11932962,12518834,13105612,13212386,13394735,13407519,13487784,13651463,14116648,14429739,14607242,14726663,14734120,14770047,15173757,15524399,15687935,15881229,16073682,16575885,16807359,16932002,17404055,17680944,17844359,18456424,18482807,18546335,18825522,18906225,19116935,19148428,19502090,19611548,19891062,20166640,20356763,20602703,20763477,20884866,21038090,21866619,21964535,22020287,22178728,22255602,22396605,22402124,22687470,22872639,22940322,23296007,23402508,23889712,24071474,24096443,24199968,24718425,24719948,24951069,24962728,25245708,25695803,25844039,25936055,26357442,26366320,26404010,26494727,26544747,26662625,26760923,26875926,27124199,27224964,28083069,28536699,28912898,28997819,29081090,29459243,29662110,30198146,30299372,30481787,30747143,31123266,31579055,31639584,31684812,31764119,31995150,32405032,32651519,32821919,33243023,33255565,33280010,33432225,33620087,33631528,34084079,34128160,34265608,34314527,34387820,34423490,34793247,34897308,35187405,35571743,35594532,35661040,36042503,36100479,36306683,36455661,36708290,37048557,37533232,37835469,37849610,37894866,38229890,38292904,38379819,38394180,38548809,39353439,39516652,39906678,39936012,39947519,40118670,40125563,40174274,40789199,40953792,41089535,41265384,41304140,41308188,41610407,41617659,41645735,41690402,41763527,42044123,42224886,42793248,43079517,43250519,43545410,43602983,43736066,43924490,44049948,44105425,44206043,44236919,44513247,44993207,45042225,45419532,45794559,45875868,46073016,46114347,46423557,46800285,47055899,47187935,47507950,47705879,47875163,47955563,48045040,48142404,48200399,49189127,49307442,49412183,49564968,49705607,49920304,49974882,50489243,50568699,50684426,50724743,50863019,51489290,51832143,51866690,51890834,52247965,52254492,52443244,52469762,52709388,52779999,52837127,52926510,52983938,53041823,53305727,53358263,53724459,54050670,54131133,54363705,54399863,54493919,55358903,55544786,55605719,55714625,55760589,55920639,55949224,56160342,56278907,56416823,56452360,56454944,56625522,56671082,57009540,57259643,57391820,57654048,57987952,58002023,58070738,58164335,58417599,58429034,58990785,59136863,59429642,60037679,60585839,60591099,60753165,60810176,60957218,61019963,61407227,61787148,62240028,62697558,62923504,62942877,63007750,63018167,63151490,63508905,63511812,63654698,63677739,64241385,64276010,64441825,64599519,64803376,64860804,64873202,64997546,65024603,65236446,65363819,65443079,66056123,66742779,66857550,67317698,67356172,67513319,67742832,67868500,68393090,68411448,68458535,68524144,68783169,68870184,69464807,69702203,69786219,69797202,70072055,70227125,70346159,70552988,70676738,70688783,70788942,71008010,71314720,71456903,71485034,72077474,72097019,72127490,72903798,73193186,73721762,74010747,74310879,74639950,74918920,74987164,75073634,75299483,75481610,75609300,75691340,75781788,75822683,76101333,76210686,76226090,76301807,76868008,76962879,77002347,77026535,77089662,77131212,77300319,77330190,77388333,77478957,77592719,77714090,78429074,78657527,78834143,79685135,79893947,79983719,80229060,80268159,80555327,80649920,80657927,80721865,80733026,81154299,81166967,81389879,81442200,81569906,81743979,81750503,81799490,81884725,82071119,82071708,82150242,82485536,83012303,83243138,83702639,84086466,84238823,84272550,84283785,84346754,84618604,84975335,85209612,85577664,85738247,85773644,85815218,85847547,86104223,86476509,86552988,86751623,86871680,86887905,87081740,87425039,87558743,87719903,87724610,87865607,88056002,88647467,88752747,88855703,89567940,89627788,89890720,89902704,90209245,90368399,90543803,90577932,90596825,90731160,90825527,90829608,91018034,91391282,91449501,91471308,91622475,91923519,92059750,92281319,92431842,92680432,92796228,92813063,92892290,93095099,93096374,93256908,93271547,93299903,93465503,93862185,94071803,94101986,94365890,94498347,94927535,95401826,95539136,95622162,95904908,96168140,96274872,96585083,96779904,96866238,96955000,97001905,97515434,97579199,97730640,98159388,98261670,99051647,99322946,99496763,99891959,...,11316165287222238778945118560152322098252520651484483430630350927150226977048859157565787769650177287849678226891438536057480444356939060182385033272531933599734486699872232763526524878131753825394244174009847238623716385908535835058720411754132760861488973866795533695257291409109892972298162433099216696755261019348227721746487482685476101722529400545945071054983749199519151197473202424936531528993406391336996796547691886342792463301506122460779722801431709370246876842385585758274344662452274607702247381124967468857924152573894751778263674370102848519719049859102721199553816419400507564072037847446141324399055790130094742172574040670538535235358332916867069361322998862391584184594176878777823800560197598342841436035531740586578901820281399865658525124649052187450246209355338071968023822041735411983439898538588377777390024825308583296210880978864478225956631921549040669318072643566731926716168178696303355487188424977664778521264774259630052958682012904598862069804009506777131005915479655751671250740137094899171948438749881782211057118376531667004099752637497283149236344095335860292073539377623388811926595398962197038191699920532820214793984260077708921141138485393410007940012691091444171403507240562053184813781140365490123161926005886818006127837951874560255364300252188476064725901343233136017293191729974187593481434209170306952353342240796803505893583895581942034145091806319007661811390485173025274049919979024893942937267024781716449734380209116978925790928540090580416324663563624452427522578205037942012322443741721365617435878211120267388550336587423543889936811478279827397885603969907355645296428018354667497373390553997377290487179923686469241757683503216379516284318807744696929967533340582409891483518521217499637534196577081564068600608928311207702517622400972572084326882447943746485087132291756592847429911611511959040206945625808385389005700054244784228054798530132048416742371639326518156934422946454946521311978486100360496420370078189948009435677815692725802888936773113560569823953109360188764354028933179175162321149208894164769258135777350587395716588744757129126307180638552124961774528783246572197685517555024725845324428630200281870097423748610179254865878013992945011162371563449221421660471001812981875698372391934093164016074734898056368585351565203640658061440085562928864194594483988633719193621215207881772047195683468746504093232706456517276190771960172603030141285006819458779265782743473658797604863222951391472310867150170744212170105131885558598515917186011616961742403141971443670210769025059431261005636043828367606039297806242688125246573319091304706982063811754476762989328774313503018520693057313896446769475949319112821841253451901766758117675889372129457961712636078149097844368682758956647154144587599212191743447977586982391686693014768028996716003930532518812558575706321873049158400821849860022144564475320978128983589202560488733844844632794679254591449817721319678210257922072863425324161505797574784602411049327059018715067048727249993645239341492397111733536441315939395228424954806888139175486003119953084663649734188}
19418  30774224218583287479133205356302868022863699888856413367105334347422619: {504478,600997,717097,853732,1124446,1434046,1666078,1783972,2037315,2104681,2173136,2425375,2444778,2909317,2910450,3104480,3177172,3209278,3481897,3492540,3725376,3747886,3824581,4052677,4132126,4191048,4714929,4806488,4899406,5302057,5407299,5526435,5741566,5894864,6047326,6317797,6429166,6430297,6631722,6655081,6688515,6886846,6922587,6991717,7134416,7572286,7774681,8026218,8241175,8318739,8331781,8430735,8724052,8939278,8992784,9011235,9440581,9611984,9889410,10116882,10548704,10603006,10752015,10813482,10876107,11468816,11731555,11801811,11854597,11867292,12218456,12352067,12398377,12859246,12892355,12902418,13233886,13588357,13745763,13803781,14049775,14077866,14126377,14430046,14710179,15470826,15910616,16149371,16260457,16382015,16803327,16810078,16859730,17316697,17328526,17382963,17645810,17842117,17876692,17899443,17983712,18261157,18417650,18778251,18783337,18879166,19026478,19095781,19239652,19303717,19406387,19658418,19693396,19818579,20231676,20442217,20642686,20648281,20903498,21008926,21174972,21431576,21740206,21842387,21878617,21910863,22101180,22409812,22489897,22693081,23052478,23070530,23270686,23401957,23502937,23574592,23906137,23935535,24110523,24142078,24514435,24721726,25100696,25208300,25228078,25398003,25706281,26004037,26202181,26521416,26696281,27684636,27723410,27846488,27972517,28002655,28167781,28238283,28354403,28722642,28945957,29155492,29253135,29417322,29427587,29429977,29623081,29674136,29836593,29862140,29982407,30249960,30496852,30587096,30604078,30817246,30899935,31062181,31203344,31203410,31327299,31557135,32022478,32266624,32517406,32767717,32841578,32955781,32957900,33268092,33383403,33506291,33603186,33660944,34031205,34078117,34410483,34635397,34820581,35097817,35103762,35143256,35282281,35392996,35834568,36029279,36029806,36107211,36239278,36299952,37079922,37292377,37444092,37493086,37563781,37868562,37874215,38048932,38533966,38642917,39018478,39089497,39534277,39536163,39549480,39606015,39847246,39862603,39977257,40313889,40398478,40418437,40506290,40506457,40604926,40682281,40837446,41292046,41382697,41497688,42039410,42186112,42246416,42456478,42575663,42660200,42832010,42855781,42984775,43275646,43369347,43480078,43621635,43680266,44296366,44493165,44562181,44576300,44731237,44815657,44984281,45297219,45404581,45449058,46073317,46390996,46529278,46529744,46684899,46731406,46916540,47000686,47232517,47314777,47459376,47527218,47739886,47866130,47992725,48008206,48133972,48607548,48864037,48955571,49267417,49345966,49395815,49398076,49546078,49749097,49909081,49920015,50307781,50447292,50526488,50739458,51173092,51192240,51340606,51398412,51406846,51493081,51581730,51630175,51635235,51728197,51737806,52274281,52345962,52398526,52471252,53208904,53248016,53279077,53320846,53391798,53491560,53518078,53585797,53915059,53967577,54605056,55020512,55058066,55062435,55077584,55482478,55490212,55700581,55849477,55923817,56072281,56220457,56299848,56329246,56442181,56702954,56774415,56842299,57057664,57302926,57322597,57344835,57439356,57591270,57885406,58048357,58623781,58733264,58981081,59175166,59239486,59274978,59350996,59860017,59904018,59958626,60056300,60178005,60252457,60261411,60522526,60559376,60601477,60972626,61059412,61167824,61289278,61294117,61430688,61485796,61586767,61735486,61898076,61956210,61962282,61979557,62117326,62206703,62319577,62400380,62535603,62792581,62927077,63069406,63128281,63337329,63462181,63661657,63926617,64124581,64189872,64256197,64899886,64974937,65298757,65318115,65554055,65604099,65620777,65743256,65841406,65886735,66074922,66086624,66633176,66779326,67259507,67424932,67589278,67639081,67824517,68070757,68086366,68129298,68132137,68376937,68559781,68681317,68813802,68830078,69109524,69571486,69633166,69672656,69936530,70058281,70279184,70373332,70495006,70556446,70565450,70568680,70761577,70863406,71261925,71632612,71683177,71739775,71797081,71967397,72051122,72067560,72080581,72174844,72193477,72209278,72213606,72392206,72484940,72696766,72809257,73634917,73906537,73961163,74347452,74560852,74880456,74962323,75237637,75500696,75757477,75860581,75960526,76012720,76026639,76140478,76872064,77233935,77800035,77836251,77862181,77890132,78104281,78381738,78487897,78526078,78583081,78654380,78664866,78704643,78913957,79000126,79064082,79148137,79194757,79380517,79389765,79475907,79611097,79886206,80559877,80781097,80788132,81004220,81076005,81087781,81095378,81174757,81179278,81355006,81390937,81605317,81944581,82279237,82348078,82382864,82444837,82755646,82986704,83317179,83596744,83650117,83800078,83923836,84152281,84195215,84240513,84455257,84678540,84682416,84716581,84827497,84835625,84903652,84938283,84974377,85006623,85083781,85514310,85655180,85691497,85970281,86039257,86087730,86132692,86210437,86413477,86481072,86713177,86746117,86909737,86981928,87071557,87106107,87135781,87244078,87604706,87608281,87643551,87853657,88004677,88191235,88504681,88562137,88789081,88983877,88990372,89057326,89143400,89144463,89202181,89282857,89778757,89901646,89979781,90176197,90224581,90296617,90323776,90391657,90630478,90871717,91089157,91174117,91215264,91435827,91640281,91679017,91710892,91826912,91868377,91886917,91923781,92050537,92135566,92191081,92242597,92631397,92680722,92707177,92867557,92966686,92992297,93048292,93062936,93098281,93136837,93224281,93260677,93308197,93360042,93365977,93399781,93476137,93588997,93648650,93674857,93733955,93829081,93953317,94045657,94046337,94078057,94112581,94135081,94225477,94234078,94238437,94253017,94258597,94261081,94263781,94264537,94385256,94511625,94614175,94727235,95267718,95438446,95482047,95711086,96085010,96414015,96851806,97205064,97291206,97309803,97412147,97496319,97500478,97662286,97854669,98469166,98680996,99081172,99738947,...,16974247930833358168417677840228483147378780977226725145945526390725340465573288736348681654475265931774517340337157804086220666535408590273577549908797900399601730049808349145289787317197630738091366261014770857935574578862803752588080617631199141292233460800193300542885937113664839458447243649648825045132891529022341582619731224028214152583794100818917606582475623799278726796209803637404797293490109587005495194821537829514188694952259183691169584202147564055370315263578378637411516993678411911553371071687451203286886228860842127667395511555154272779578574788654081799330724629100761346108056771169211986598583685195142113258861061005807802853037499375300604041984498293587376276891265318166735700840296397514262154053297610879868352730422099798487787686973578281175369314033007107952035733062603117975159847807882566666085037237962874944316321468296717338934947882323561003977108965350097890074252268044455033230782637466497167781897161389445079438023019356898293104706014260165696508873219483627506876110205642348757922658124822673316585677564797500506149628956245924723854516143003790438110309066435083217889893098443295557287549880799230322190976390116563381711707728090115011910019036637166257105260860843079777220671710548235184742889008830227009191756927811840383046450378282714097088852014849704025939787594961281390222151313755460428530013361195205258840375843372913051217637709478511492717085727759537911074879968537340914405900537172574674601570313675468388686392810135870624486995345436678641283867307556913018483665612582048426153817316680401082825504881135315834905217217419741096828405954861033467944642027532001246060085830996065935730769885529703862636525254824569274426478211617045394951300010873614837225277781826249456301294865622346102900913392466811553776433601458858126490323671915619727630698437634889271144867417267938560310418438712578083508550081367176342082197795198072625113557458989777235401634419682419781967967729150540744630555117284922014153516723539088704333405159670340854735929664040283146531043399768762743481723813341247153887203666025881093574883117135693689460770957828187442661793174869858296528276332537088767986642945300422805146135622915268882298817020989417516743557345173832132490706502719472813547558587901139746024112102347084552878027347805460987092160128344393296291891725982950578790431822811822658070793525203119756139849059684775914286157940258904545211927510229188168898674115210488196407294834427087208466300725256116318255157697828337897773875779017425442613604712957165505316153537589146891508454065742551409058946709364032187869859978636957060473095717631715144483993161470254527781039585970844670154213923978669232761880177852650137176513834058194186942568954117223646766553024138434970731216881398818287615171966380473587530039522152043495074005895798778218837863559482809573737601232774790033216846712981467193475383803840733100767266949192018881887174726581979517315386883109295137986242258696362176903616573990588528072600573090874990467859012238595667600304661973909092842637432210332208763229004679929626995474601282}
19419  30895392278032139678352880611760915101707443341864640933174300584205212: {38834,756717,1067165,1280598,1686669,1901494,2151069,2229965,2499117,2675958,2716420,3259704,3626117,3667167,3880600,3971465,4205677,4365675,4656720,4765758,4788589,4813917,4967168,5158006,5238810,5588064,5621829,6008110,6181901,6198189,6242614,6286572,6554158,6996541,7209732,7349109,7368580,7577189,7868686,8103766,8410486,8569054,8612349,8842296,8918020,9070989,9230116,9550889,9643749,9947583,10035214,10248317,10330269,10691149,10701624,10905065,11091652,11240980,11358429,11589838,12014980,12039327,12520126,13086078,13185880,13408917,13489176,13921789,13991638,14336020,14417976,14501476,14834115,15175323,15273070,15614638,15735748,15823056,15904509,16220223,17203224,17800938,18327684,18347017,18752629,18770488,18913301,19288869,19353627,19613572,19850829,19888270,20627768,21116799,21645069,21963109,22345865,22404436,22479640,22717277,23177284,23206239,23865924,24049565,24348649,24365677,24610909,24616745,25037668,25215117,25289595,25964869,25992789,26211224,26424772,26468715,26763709,26789470,26815038,26975568,27259109,27302926,27626475,28012265,28233296,28318749,28539717,28859478,29214484,29453326,29468240,29487627,29540094,30347514,30750349,30964029,31048798,31355247,31375870,31510375,31513389,31565501,31762458,32147364,32610309,33139817,33151770,33614718,33864004,34578717,34605795,34808110,34815469,34906029,35361888,35688718,35746717,36213117,36310477,36444365,36912848,36965614,37054169,37082589,37092670,37327675,37651044,37812450,37842117,38121065,38233870,38296856,39004180,39223096,39287209,39777821,39782124,40333280,40713526,41197375,41205406,41526954,41585115,41630237,41769732,42076180,43083963,43733238,43929070,44040574,44125983,44210677,44241245,44357456,44511204,44793210,44804248,45374940,45745278,45880644,45906117,46225869,46505749,46557791,46592014,46732661,46805016,46805115,47287741,47470229,47561165,47779424,47894957,48033717,48123629,48142948,48192886,48205417,48399936,48776109,49262367,49436850,49439896,49688509,49815881,49902138,49925456,50404779,50491416,51391606,51688078,51872110,52153609,52655643,52714884,52732640,52808020,52892477,52989454,53089494,53325250,53521846,53751852,54044709,54248398,54358917,54449928,55225381,55611517,55619883,55629229,55720375,56166138,56239629,56497481,56632301,56802843,57073398,57525349,57800949,57825796,57988745,57995638,58162180,58304029,58527717,58645675,58918486,59324220,59576989,59770869,60167465,60396292,60597717,60598744,60685109,60759435,60907389,60963574,61256169,61494286,61747595,61938069,62246532,62378117,63059115,63158110,63279168,63369624,63528238,63684717,63966365,63990300,64248015,64407437,64810064,64913469,65220117,65303038,65520399,65589065,65643838,66063109,66094141,66444549,66486046,66511130,66560020,66864450,67186781,67240174,67263056,68168158,68173587,68256320,68531216,68629054,68775640,68846980,69362765,69586494,69793917,69794616,70097109,70374810,70385561,70432069,70501029,71143486,71189064,71290827,71322080,71609829,71799195,72012309,72085006,72200958,72613366,72911322,73147151,73164941,73416580,74018949,74097114,74188745,74319117,75066464,75070375,75246389,75670938,75699220,75789732,76109187,76324265,76459780,76585808,76759638,76788360,76857245,77010909,77097618,77110269,77372595,77606709,77728009,77859269,78000475,78518943,78597789,78706878,79033304,79813356,79872024,79895038,79981269,80087697,80237340,80251126,80277117,80348548,80801621,81430069,81578398,81907584,82179070,82530768,82587099,82608280,82616376,82943941,83220814,83223717,83235318,83291470,83380804,83527054,83541289,84088246,84281165,84449772,84493869,85054431,85360117,85570469,85586496,85954389,86159034,86386905,86501038,86828109,87090820,87205966,87472132,87848980,87966665,88099896,88210850,88412086,88473838,88762749,88859229,88912467,89026494,89540765,89856027,89937939,89986414,90048397,90084450,90218555,90304429,90606175,90783789,90839064,91341017,91458939,91589118,91751736,91933917,92146032,92228694,92603229,92847114,92934315,92943423,93175989,93201065,93597277,93600570,93638501,94111798,94375870,94604109,95015900,95411758,95750326,95841949,95911126,96080237,96090080,96284808,96400798,97349829,97362665,98100877,98105449,98317975,98378254,98614884,98762109,98824366,99112383,99129936,99411214,99724301,99840608,99949764,...,25461371896250037252626516760342724721068171465840087718918289586088010698359933104523022481712898897661776010505736706129330999803112885410366324863196850599402595074712523717934680975796446107137049391522156286903361868294205628882120926446798711938350191200289950814328905670497259187670865474473237567699337293533512373929596836042321228875691151228376409873713435698918090194314705456107195940235164380508242792232306744271283042428388775536754376303221346083055472895367567956117275490517617867330056607531176804930329343291263191501093267332731409169367862182981122698996086943651142019162085156753817979897875527792713169888291591508711704279556249062950906062976747440381064415336897977250103551260444596271393231079946416319802529095633149697731681530460367421763053971049510661928053599593904676962739771711823849999127555856944312416474482202445076008402421823485341505965663448025146835111378402066682549846173956199745751672845742084167619157034529035347439657059021390248544763309829225441260314165308463523136883987187234009974878516347196250759224443434368887085781774214505685657165463599652624826834839647664943335931324821198845483286464585174845072567561592135172517865028554955749385657891291264619665831007565822352777114333513245340513787635391717760574569675567424071145633278022274556038909681392441922085333226970633190642795020041792807888260563765059369576826456564217767239075628591639306866612319952806011371608850805758862011902355470513202583029589215203805936730493018155017961925800961335369527725498418873072639230725975020601624238257321702973752357825826129611645242608932291550201916963041298001869090128746494098903596154828294555793954787882236853911639717317425568092426950016310422255837916672739374184451942298433519154351370088700217330664650402188287189735485507873429591446047656452333906717301125901907840465627658068867125262825122050764513123296692797108937670336188484665853102451629523629672951951593725811116945832675927383021230275085308633056500107739505511282103894496060424719796565099653144115222585720011870730830805499038821640362324675703540534191156436742281163992689762304787444792414498805633151979964417950634207719203434372903323448225531484126275115336017760748198736059754079209220321337881851709619036168153520626829317041021708191480638240192516589944437837588974425868185647734217733987106190287804679634209773589527163871429236910388356817817891265343782253348011172815732294610942251640630812699451087884174477382736546742506846660813668526138163920407069435748257974230306383720337262681098613827113588420064046048281804789967955435590709643576447572716725989742205381791671559378956267005231320885968003849142820266778975205764770751087291280413853431175835470149829536207652456096825322098227431422757949570710381295059283228065242611008843698167328256795339224214360606401849162185049825270069472200790213075705761099651150900423788028322830762089872969275973080324663942706979363388044543265355424860985882792108900859636312485701788518357893501400456992960863639263956148315498313144843507019894440493211901923}
19420  31017034014437348850019780489763880158854570832888499257710449058998150: {58251,329851,562339,794539,910531,1008956,1201994,1434194,1707464,1920897,1951219,2248892,2526859,2852241,2868092,3332156,3395525,3567944,4013937,4074630,4209362,4346272,4584259,4850750,4889556,4924891,5038291,5378059,5818634,5820900,6208960,6354344,6418556,6618331,6963794,6985080,7148637,7291171,7403059,7450752,7495772,7649162,7737009,7858215,7961419,8105354,8264252,8382096,8740099,9012165,9210725,9363921,9429858,9515251,9612976,9625699,9798812,9831237,9846379,10604114,10814598,11052870,11147525,11483132,11537645,11601451,11789728,11803029,12094652,12146131,12155649,12615729,12635594,12689011,12853581,12858332,12860594,13122019,13263444,13310162,13377030,13446019,13773692,13845174,13864565,13983434,14051225,14268832,15018725,15052821,15144572,15376411,15549362,16052436,16332859,16424177,16482350,16637478,16663562,16861470,17384757,17448104,17878556,17920025,17985568,18018811,18022470,18049297,18126845,18750619,18780189,18881162,19223968,19271179,19629117,19669685,19778820,19996939,20233764,20306899,20987457,21027619,21097408,21206012,21232891,21504030,21626964,21642571,21752214,22356739,22909605,22934821,22937632,23168611,23370859,23421957,23463110,23572819,23603622,23709194,23734584,24436912,24516965,24578299,24704134,24778531,24796754,25718492,25775371,25784710,25804097,25804836,25874659,26467772,26567659,26701407,26863579,27060499,27176714,27491526,27607562,28005545,28099550,28155732,28235971,28252754,28722691,28860092,28971605,29110771,29420358,29832405,30941652,31297085,31821232,31889899,32079331,32298742,32457331,32520914,32764030,33030965,33303619,33509749,33606654,33620156,33719460,33771259,34050979,34320209,34633394,34657052,34765926,34886251,35255611,35291620,35684234,35753384,35798886,35899219,35967424,36173971,36356779,36518105,36522314,36812539,36835300,37556502,37566674,37758332,38052956,38079091,38191562,38438371,38479304,38607434,38812774,39203717,39316836,39331531,39386792,39637158,39866717,40184205,40222557,40463352,40745611,40833379,40884434,40954389,41285372,41296562,41445739,41806996,41967811,42017852,42330005,42349944,42580057,42746059,42863152,43004179,43259909,43289217,43480412,43603939,43684774,43757234,43821726,43859899,44179989,44200171,44202360,44310141,44539291,44552321,44819624,44979794,45386162,45521271,45549739,46104956,46141060,46383859,46541372,46549819,46573197,46803914,47005874,47063805,47110349,47149184,47643687,47812274,47871070,48221046,48275011,48284156,48437659,48755225,48843019,49028870,49246579,49443452,49727655,50201392,50416600,50422077,50456156,50796006,50842819,51412562,51473251,51786739,51943051,52008074,52212165,52404362,52595225,53023901,53042832,53392562,53490331,53533077,53566939,53796331,53948899,54631891,55083979,55234099,55369272,55446820,55448421,55639005,55692976,55945034,56005310,56128771,56202859,56335562,56476566,56708806,56718675,57159451,57232531,57350805,57445284,57669499,57814579,57891914,58310984,58506270,58834644,58855174,58859954,59107339,59246162,59348272,59673186,59724280,59956219,59964814,60178685,60499920,60794731,60993704,61070289,61071931,61174192,61208156,61634492,61759891,61799870,61808109,61896619,62124362,62290431,62406688,62406820,62654598,62710939,63114270,63181171,63448291,63717797,64044956,64533248,64570699,64701379,64831771,64896859,65034812,65414971,65535434,65599857,65683156,65893605,65911562,65915800,66010025,66060861,66536184,66627019,66753091,66766806,66941659,67012582,67189815,67206372,67321888,67379131,68062410,68156234,68548771,68617917,68670379,68820966,68832269,68912731,68973139,69154141,69214051,69270794,69393979,69641162,69692419,69888021,70048171,70107211,70166179,70195634,70207524,70286512,70564562,70785992,70868179,70926211,71445259,71669136,71844931,72058558,72059612,72184699,72214422,72282245,72289329,72478556,72577819,72599904,72702725,72784361,73022779,73681579,74155275,74159844,74490499,74584754,74853207,74888184,74986172,75125971,75127562,75495365,75595771,75737124,75748430,76097864,76618891,76719619,77067932,77087409,77285834,77317939,77532117,77711059,77808165,77857291,77954419,78036956,78178994,78292099,78531139,79003819,79050691,79068554,79072326,79098960,79212030,79330411,79484181,79515451,79634241,79694492,79725206,79745131,79954514,79987875,80282769,80627778,80796956,80836874,80910451,81012580,81012914,81172459,81209852,81364562,81372597,81674892,81985051,82360891,82443619,82584092,82649179,82730899,82765394,82771651,82995376,83200025,84078820,84114379,84249207,84372224,84492832,84605779,84912956,85151326,85320400,85587499,85610097,85664020,85693339,85711562,85969550,86058725,86483251,86551292,86649931,86738694,86847571,86960156,86993457,87042619,87171211,87243270,87360532,87735619,87948811,88377729,88509691,88592732,88709779,88986330,89099371,89124362,89152600,89181019,89315659,89342371,89462474,89474851,89501131,89631314,89785459,89861491,89968562,90011611,90256051,90594438,90723331,90790939,90809162,90898116,91011619,91140571,91182979,91390699,91445361,91591219,91770725,91775677,91841131,92132011,92146634,92241429,92469691,92688931,92781992,92908171,92991331,93058556,93059488,93225259,93368251,93369798,93462812,93468691,93490219,93511459,93563299,93680371,93726091,93820339,93833080,93982699,93995731,94001372,94033099,94050811,94062259,94078891,94100059,94147939,94195891,94230739,94236139,94238731,94252771,94268971,94277539,94283011,94465034,94624025,94629554,94737165,94918752,95054436,95292357,95479772,95574725,95732260,95985450,96016412,96267944,97215096,97728074,97911142,97954557,98465757,98534834,98691932,98791630,98796152,99092156,99498194,99729069,99766695,99818162,99840030,...,33948495861666716336835355680456966294757561954453450291891052781450680931146577472697363308950531863549034680674315608172441333070817180547155099817595800799203460099616698290579574634395261476182732522029541715871149157725607505176161235262398282584466921600386601085771874227329678916894487299297650090265783058044683165239462448056428305167588201637835213164951247598557453592419607274809594586980219174010990389643075659028377389904518367382339168404295128110740630527156757274823033987356823823106742143374902406573772457721684255334791023110308545559157149577308163598661449258201522692216113542338423973197167370390284226517722122011615605706074998750601208083968996587174752553782530636333471401680592795028524308106595221759736705460844199596975575373947156562350738628066014215904071466125206235950319695615765133332170074475925749888632642936593434677869895764647122007954217930700195780148504536088910066461565274932994335563794322778890158876046038713796586209412028520331393017746438967255013752220411284697515845316249645346633171355129595001012299257912491849447709032286007580876220618132870166435779786196886591114575099761598460644381952780233126763423415456180230023820038073274332514210521721686159554441343421096470369485778017660454018383513855623680766092900756565428194177704029699408051879575189922562780444302627510920857060026722390410517680751686745826102435275418957022985434171455519075822149759937074681828811801074345149349203140627350936777372785620271741248973990690873357282567734615113826036967331225164096852307634633360802165651009762270631669810434434839482193656811909722066935889284055064002492120171661992131871461539771059407725273050509649138548852956423234090789902600021747229674450555563652498912602589731244692205801826784933623107552867202917716252980647343831239455261396875269778542289734834535877120620836877425156167017100162734352684164395590396145250227114917979554470803268839364839563935935458301081489261110234569844028307033447078177408666810319340681709471859328080566293062086799537525486963447626682494307774407332051762187149766234271387378921541915656374885323586349739716593056552665074177535973285890600845610292271245830537764597634041978835033487114690347664264981413005438945627095117175802279492048224204694169105756054695610921974184320256688786592583783451965901157580863645623645316141587050406239512279698119369551828572315880517809090423855020458376337797348230420976392814589668854174416932601450512232636510315395656675795547751558034850885227209425914331010632307075178293783016908131485102818117893418728064375739719957273914120946191435263430288967986322940509055562079171941689340308427847957338465523760355705300274353027668116388373885137908234447293533106048276869941462433762797636575230343932760947175060079044304086990148011791597556437675727118965619147475202465549580066433693425962934386950767607681466201534533898384037763774349453163959034630773766218590275972484517392724353807233147981177056145201146181749980935718024477191335200609323947818185685274864420664417526458009359859253990949202564}
19421  31139151266310430349840142525178168956315748622887753195703455264012027: {19421,77668,1261195,1494031,1513434,1802991,2134330,2151291,2561196,2811115,3121951,3373338,3585115,3802988,4052719,4165195,4285411,4302138,4459930,4904911,4998234,5351916,5432840,5560051,5602843,6111945,6182539,6314043,6519408,6608239,7252234,7276125,7305883,7334334,7577971,7761200,7884811,7942930,8023195,8411354,8468623,8727951,8731350,9313440,9369715,9531516,9577178,9627834,9934336,10209571,10316012,10330315,10445691,10477620,10674523,11176128,11243658,11473743,12016220,12158031,12248515,12363802,12396378,12485228,12573144,13108316,13993082,14144787,14353915,14419464,14698218,14737160,15118315,15154378,15267091,15737372,15906171,16072915,16207532,16221897,16579305,16820972,17138108,17217115,17224698,17684592,17836040,18141978,18460232,18930715,18953391,19101778,19287498,19290891,19895166,19965243,20065545,20070428,20496634,20660538,20767761,20975151,21382298,21403248,21452299,21810130,22183304,22348195,22352083,22481960,22716858,23141899,23179676,23324043,23334931,24029960,24078654,24723525,24956217,24995343,25040252,25292205,26172156,26371760,26507515,26817834,26847691,26978352,27033705,27843578,27983276,28321743,28672040,28835952,29002952,29044411,29668230,30350646,30466063,30546140,31229276,31284211,31471496,31646112,31809018,31989199,32148115,32256045,32440446,32628321,33078763,33084715,33669391,33796051,34406448,34463443,35102623,35194665,35405433,35563791,35601876,36075115,36608011,36655368,36694034,37038619,37056201,37195131,37254691,37304683,37505258,37540976,37826602,37865839,38577738,38677065,38707254,39217171,39227144,39525523,39701658,39776540,40379119,40765071,40898323,41237289,41255536,41411343,41413483,41634571,42025195,42052879,42149325,42233598,42379131,42521119,42920971,43060531,43290138,43321315,43926218,44114525,44130537,44691730,44808872,44872843,44959280,45434554,46044125,46354568,46412478,46476763,47197915,47566195,47731848,47899951,48099130,48316819,48316939,48357523,48448113,48697298,48731354,48781371,49012303,49146045,49199371,49221818,49233490,50075336,50409981,50430234,50579190,51022111,51606715,51929738,51950091,51985578,52148889,52258745,52422448,52522315,52849544,52937430,53251459,53369491,53526351,53527418,53578940,53630076,53698329,53951136,54350515,54518218,54605852,54613843,54783471,55252950,56024530,56208499,56334753,56350011,56466592,56558371,56603131,56637498,56638219,57053359,57079434,57287343,57616243,57631195,57676325,57718956,57911151,58051471,58176715,58219161,58428968,58906652,58936480,58975254,59080188,59273371,59455737,60355195,60379243,60393859,60695028,61326651,61500698,61571023,61804315,61928058,61937743,61944843,62097596,62384611,62509291,62515939,62710494,62751740,63020750,63026778,63031291,63070195,63131002,63524916,64294728,64324243,65220618,65527161,65635851,65732589,65966323,66221731,66279634,66303540,66585631,66929083,67229436,67469691,67728008,68079243,68537851,69157434,69211590,69308525,69464299,69466639,69616220,69630938,69716719,69812058,70205871,70508811,70703611,70723776,71377436,71493434,71718411,71806605,72331569,72426234,72620954,72715171,72888730,73543305,73819003,73825696,73866271,73931228,74108338,74165178,74185340,74655350,75232399,75302088,75624900,75684234,76194009,76242130,76467740,76510195,76593712,77043115,77118843,78008360,78008525,78012111,78108811,78210799,78446192,78510811,78574418,78606543,79124623,79340239,79555642,79564248,80056195,80088843,80666560,80763043,81184243,81293515,81427052,82103945,82394750,82410812,83029771,83053908,83077723,83170230,83260474,83539464,83540659,83848699,83917551,84007965,84152360,84234451,84376351,84503343,84550651,84714849,85063209,85485499,85579411,86167926,86446633,86837871,87019183,87466476,87759405,87858140,88081148,88251966,88282761,88289931,88421354,88482490,88714912,88869243,89022408,89264011,89509779,89552911,89586420,89608496,89947221,89979439,90074515,90598195,90749880,91488931,91490556,91761288,91812234,91824691,91991131,92451738,92699805,93011498,93115582,93184028,93186543,93465322,93610032,93610230,93732715,93981897,94575482,94671405,94940458,95122330,95558848,95637583,95789914,96067434,96247258,96285896,96334915,96385772,96410834,96421723,96497071,96799872,96893743,97107871,97546195,97552218,98303151,98524734,98867343,98873700,98879792,99377018,99618115,99631762,99734683,99804276,99850912,...,50922743792500074505253033520685449442136342931680175437836579172176021396719866209046044963425797795323552021011473412258661999606225770820732649726393701198805190149425047435869361951592892214274098783044312573806723736588411257764241852893597423876700382400579901628657811340994518375341730948946475135398674587067024747859193672084642457751382302456752819747426871397836180388629410912214391880470328761016485584464613488542566084856777551073508752606442692166110945790735135912234550981035235734660113215062353609860658686582526383002186534665462818338735724365962245397992173887302284038324170313507635959795751055585426339776583183017423408559112498125901812125953494880762128830673795954500207102520889192542786462159892832639605058191266299395463363060920734843526107942099021323856107199187809353925479543423647699998255111713888624832948964404890152016804843646970683011931326896050293670222756804133365099692347912399491503345691484168335238314069058070694879314118042780497089526619658450882520628330616927046273767974374468019949757032694392501518448886868737774171563548429011371314330927199305249653669679295329886671862649642397690966572929170349690145135123184270345035730057109911498771315782582529239331662015131644705554228667026490681027575270783435521149139351134848142291266556044549112077819362784883844170666453941266381285590040083585615776521127530118739153652913128435534478151257183278613733224639905612022743217701611517724023804710941026405166059178430407611873460986036310035923851601922670739055450996837746145278461451950041203248476514643405947504715651652259223290485217864583100403833926082596003738180257492988197807192309656589111587909575764473707823279434634851136184853900032620844511675833345478748368903884596867038308702740177400434661329300804376574379470971015746859182892095312904667813434602251803815680931255316137734250525650244101529026246593385594217875340672376969331706204903259047259345903903187451622233891665351854766042460550170617266113000215479011022564207788992120849439593130199306288230445171440023741461661610998077643280724649351407081068382312873484562327985379524609574889584828997611266303959928835901268415438406868745806646896451062968252550230672035521496397472119508158418440642675763703419238072336307041253658634082043416382961276480385033179888875675177948851736371295468435467974212380575609359268419547179054327742858473820776713635635782530687564506696022345631464589221884503281261625398902175768348954765473093485013693321627337052276327840814138871496515948460612767440674525362197227654227176840128092096563609579935910871181419287152895145433451979484410763583343118757912534010462641771936007698285640533557950411529541502174582560827706862351670940299659072415304912193650644196454862845515899141420762590118566456130485222017687396334656513590678448428721212803698324370099650540138944401580426151411522199302301800847576056645661524179745938551946160649327885413958726776089086530710849721971765584217801719272624971403577036715787002800913985921727278527912296630996626289687014039788880986423803846}
19422  31261745879247861123984322023968289379403979675728461960531303653387950: {97085,116502,368657,601121,659702,794621,833297,1124678,1589078,1720637,1821062,1989857,2017912,2181917,2270151,2403988,2868388,2871677,3139217,3201495,3330077,3414928,3673121,3841794,3902438,4053521,4497784,4584737,4622621,4753735,5053718,5060007,5378621,5416337,5704482,5736184,6453207,6656477,6664312,6689895,6731357,6791050,7135888,7497351,7776317,7999421,8027874,8149260,8407697,8418724,8518877,8692544,8778017,9168518,9516257,9626717,9701500,9779112,9849782,9884177,10076582,10617617,10756118,10878351,11001501,11637268,11639057,11641800,11914395,12417920,12617031,12618077,12708688,12837112,12895015,12943121,13097025,13236662,13267517,13878497,13927588,13970160,14021921,14201021,14297274,14365767,14441751,14582342,14806118,14901504,14991544,15020275,15298324,15413597,15474018,15591137,15606535,15716430,15922838,16152703,16210708,16334621,16369937,16385395,16528504,16764192,16865487,17004257,17179997,17390621,17480198,17915921,18024330,18125537,18421450,18545703,18578717,18594567,18727842,18787421,18859716,19030502,19225952,19251398,19307921,19410391,19597624,19619357,19662474,19671715,19692758,20033597,20259415,20309117,20989623,21026215,21064157,21208228,21371921,21422635,21629196,21747197,22047327,22105740,22257377,22295050,22393121,22731567,22966264,23075290,23202902,23204897,23373437,23407121,23575421,23579456,23606058,23609057,24189304,24292262,24311298,24581021,24781277,24914621,25088035,25231458,25271188,25377583,25378022,25380317,25707162,25716664,25721188,25778237,25837047,26075921,26244038,26526888,26603537,26620324,26754060,26767997,26866577,26892038,27063521,27212967,27391121,27537559,27547384,27690348,27729130,27848417,27966868,28043921,28102450,28239137,28537664,28652667,28931247,28974595,29842749,30015197,30037450,30105642,30271517,30289144,30495751,30744951,30752822,30782621,30973757,30990807,31098724,31300315,32073447,32082977,32104872,32665718,32715195,32837921,32848354,32964700,33274956,33327124,33494717,33722940,33775121,33806237,34075287,34085921,34323751,34426877,34519697,34769514,34890257,34896208,34979095,35290397,35443937,35757112,35811617,35840050,35971136,36037622,36044940,36086621,36098594,36117981,36208637,36253690,36816797,36847121,37501238,37560378,37762324,38083517,38182675,38447936,38472737,38542358,39036595,39207763,39258234,39339370,39557640,39993878,40226751,40467528,40560247,40574621,40613798,40691837,40750397,41013521,41450621,41712017,41765367,41974914,42055238,42194816,42412024,42465782,42607421,42865937,42923297,43008060,43037921,43253928,43285142,43438097,43504428,43609121,43637597,43815919,44502345,44556919,44572817,44629217,44713478,45051197,45415457,45525969,45555197,45583121,45819210,45834077,45869642,45875264,46243351,46337222,46389437,46417121,46583057,46741718,46803857,46843914,46926220,47115211,47145638,47207244,47381021,47418388,47469168,47713527,47954657,48660669,48848957,48873824,48875921,49033930,49156598,49279421,49408268,49413521,49557062,49593508,49720675,49814621,50081021,50373137,50452637,50875421,51125347,51436984,51505757,51550742,51569420,51608194,51609672,51749318,51793121,52287197,52652743,52935544,53135318,53402814,53445857,53599121,53727158,53955617,53981021,54120998,54335837,54353428,54983052,55041051,55090877,55215124,55266017,55675867,55714577,56011090,56135837,56199100,56234621,56257887,56311464,56471942,56505508,56739903,57117917,57337121,57445382,57720184,57846077,57866607,57943210,58060881,58063121,58221542,58638737,58840716,58901021,59114897,59262007,59280797,59399057,59552487,59611421,59664810,59987357,60104417,60314621,60663521,60871997,61883304,61927421,62245277,62516477,62594170,62719121,62741597,63189437,63350397,63412157,63478817,63642464,63779798,64158662,64251197,64597484,64601021,64731677,64840337,64914662,64935207,65041828,65445137,65528060,65552477,65889327,66001121,66061930,66192317,66607238,66971537,66973675,67019498,67037595,67075997,67213308,67240312,67438920,67542518,68089121,68101958,68151831,68257315,68578337,68618897,68640418,68699921,68821217,69103121,69266788,69314104,69423377,69531852,69618717,69772502,70018337,70077437,70116797,70195421,70489121,70511222,70583240,70781021,70877921,71051837,71186657,71340257,71368468,71474237,71506768,71569697,71597772,71798438,71854877,71934848,72100577,72138257,72148695,72213521,72307421,72347942,72713558,72866621,73032977,73036210,73044628,73045947,73051421,73097031,73217057,73625078,73633315,73670600,73691921,73764497,73832727,73850235,74607677,74660897,75113004,75133348,75293921,75302851,75516664,75645351,75658397,75830717,75868785,76105912,76158182,76383124,76579421,76730657,76747421,76876742,76930183,76958608,77097617,77214868,77246621,77329121,77591777,77621995,77625548,77738621,77884817,77894607,77978367,78159197,78223421,78303521,78407434,78439675,78542621,78558497,78633672,78663062,78773584,79274316,79406145,79542557,79733434,79954577,80180957,80291127,80368410,80390621,80445114,80613521,80926704,81199121,81347227,81357917,81487121,81491222,81666758,81715217,81768868,81777327,81786077,81908778,81997457,82414817,82469921,82570744,82593124,82675421,82824977,82865597,82879425,82891478,83067617,83161277,83201297,83267837,83479421,83613992,83662877,83792957,83870621,83935622,84035704,84036795,84178397,84250159,84431357,84506621,84618977,84660010,84699888,84956247,84988817,85110497,85160114,85243421,85291517,85351457,85435037,85492118,85612817,85619151,85718621,85726304,85847057,86008358,86020637,86226557,86305937,86463521,86519818,86578434,86674877,86795921,86959421,86960824,87020275,87024317,87185297,87207878,87369548,87376097,87514468,87595421,87643452,87719798,87790817,88053521,88093457,88359978,88400342,88404720,88462881,88533917,88591421,88620282,88724477,88733921,89013521,89078582,89104642,89195921,89221795,89330621,89366237,89410577,89639248,89672417,89775137,89800637,89809121,89935421,89959588,90010337,90026897,90223121,90271457,90351377,90422621,90609437,90761597,90772324,90925277,91042542,91092257,91099478,91142237,91205921,91413521,91507937,91554557,91607357,91685597,91711421,91743521,91781777,91901021,91931921,91956497,92047517,92206817,92209912,92235677,92251047,92282120,92287121,92393597,92414035,92459357,92486417,92634257,92659997,92695697,92731675,92767718,92868317,92892087,92929937,92985617,93082744,93099638,93119777,93146394,93158621,93217757,93259037,93267197,93279377,93307517,93343121,93442337,93511421,93584417,93607828,93634397,93682577,93744017,93752957,93919121,93941117,93969437,93989921,94011748,94041377,94065741,94082621,94118621,94120337,94127610,94143521,94149857,94152977,94168097,94214717,94220698,94246877,94255121,94267421,94273937,94277921,94295057,94297121,94298368,94302497,94303037,94531125,94540167,94696503,95287374,95584675,95624548,95742140,96442092,96550022,96568312,96875318,97510450,97686038,97830927,98057740,98493158,98886904,99419451,99455310,...,76384115688750111757879550281028174163204514397520263156754868758264032095079799313569067445138696692985328031517210118387992999409338656231098974589590551798207785224137571153804042927389338321411148174566468860710085604882616886646362779340396135815050573600869852442986717011491777563012596423419712703098011880600537121788790508126963686627073453685129229621140307096754270582944116368321587820705493141524728376696920232813849127285166326610263128909664038249166418686102703868351826471552853601990169822593530414790988029873789574503279801998194227508103586548943368096988260830953426057486255470261453939693626583378139509664874774526135112838668747188852718188930242321143193246010693931750310653781333788814179693239839248959407587286899449093195044591381102265289161913148531985784160798781714030888219315135471549997382667570832937249423446607335228025207265470456024517896990344075440505334135206200047649538521868599237255018537226252502857471103587106042318971177064170745634289929487676323780942495925390569410651961561702029924635549041588752277673330303106661257345322643517056971496390798957874480504518942994830007793974463596536449859393755524535217702684776405517553595085664867248156973673873793858997493022697467058331343000539736021541362906175153281723709026702272213436899834066823668116729044177325766255999680911899571928385060125378423664781691295178108730479369692653301717226885774917920599836959858418034114826552417276586035707066411539607749088767645611417810191479054465053885777402884006108583176495256619217917692177925061804872714771965108921257073477478388834935727826796874650605750889123894005607270386239482296710788464484883667381864363646710561734919151952276704277280850048931266767513750018218122553355826895300557463054110266100651991993951206564861569206456523620288774338142969357001720151903377705723521396882974206601375788475366152293539369890078391326813011008565453997559307354888570889018855854781177433350837498027782149063690825255925899169500323218516533846311683488181274159389695298959432345667757160035612192492416497116464921086974027110621602573469310226843491978069286914362334377243496416899455939893253851902623157610303118709970344676594452378825346008053282244596208179262237627660964013645555128857108504460561880487951123065124574441914720577549769833313512766923277604556943202653201961318570863414038902629320768581491614287710731165070453453673796031346760044033518447196883832826754921892438098353263652523432148209640227520539982441005578414491761221208307244773922690919151161011788043295841481340765260192138144845414369903866306772128930729342718150177969226616145375014678136868801015693962657904011547428460800336925617294312253261873841241560293527506410449488608622957368290475966294682294268273848712131143885177849684195727833026531094501984770386017672643081819205547486555149475810208416602370639227117283298953452701271364084968492286269618907827919240973991828120938090164133629796066274582957648376326702578908937457105365555073680504201370978882590917791868444946494939434530521059683321479635705769}
19423  31384819705958187422396725543792384207344255089012297948821671321845327: {19423,38842,155336,174753,989553,1687017,1765673,2383617,2522390,2731593,2988062,3004985,3026868,3585485,3605982,3935561,4268660,4302582,4789577,5019161,5122392,5622230,5762691,5796713,5831273,5853657,6243902,6262001,6608921,6746676,7170230,7306637,7580577,7605976,7809737,8105438,8330390,8469497,8556723,8570822,8604276,8919860,9318413,9809822,9996468,10186575,10523405,10703832,10865680,11120102,11205686,11232473,11410697,12041811,12126875,12223890,12365078,12628086,13038816,13117601,13216478,13752777,14462441,14504468,14546585,14552250,14611766,14668668,14774673,15114873,15155942,15522400,15769622,15885860,16046390,16134177,16800377,16822708,16937246,17147921,17409485,17455902,17462700,18626880,18739430,19063032,19122905,19154356,19255668,19854993,19868672,20095481,20263385,20419142,20632024,20660630,20891382,20955240,21165641,21349046,21445911,21873513,21877097,22209177,22352256,22487316,22502081,22947486,23211027,23574645,23884257,23992253,24032440,24103961,24316062,24497030,24727604,24792756,24970456,25146288,25352717,26080217,26216632,26220297,26503001,26510285,27036495,27349517,27632175,27986164,28091763,28289574,28545753,28707830,28838928,28877097,29396436,29468417,29474320,29493711,29539137,29792153,30236630,30308756,30534182,31287473,31474744,31588985,31812342,31840541,32145830,32151485,32415064,32443794,33158610,33275405,33442575,33641944,34200077,34276216,34325213,34434230,34449396,34513457,34612935,34804353,34958585,35360057,35369184,35409087,35672080,36283956,36438393,36466947,36920464,37110521,37772057,37805417,37847187,37861430,37906782,37912013,38067033,38203556,38288921,38560743,38574996,38581782,38873405,39071993,39366057,39790332,39930486,40131090,40140856,40338057,40801937,40993268,41205875,41321076,41535522,41593695,41658905,41950302,42057257,42153675,42764596,42806496,42904598,43264013,43620260,43718897,44366608,44696390,44704166,44750537,44963920,45007361,45056175,45158463,45433716,45527921,46129233,46283798,46318601,46359352,46648086,46669862,47202905,47720777,47891801,47970497,48059920,48157308,48321977,48998577,49204493,49272531,49447050,49682057,49698857,49912434,49990686,50080504,50152001,50505161,50584410,50673737,51375581,52154271,52344312,52743520,53015030,53635668,53695382,53760075,53956704,54056433,54067410,54147891,54380535,55687156,55966552,56251857,56296433,56340567,56609033,56643486,57059321,57101837,57344080,57671904,57791837,57813537,58005904,58088822,58657775,58835273,58887351,58950377,59009055,59272985,59336460,59990817,60649841,60701292,60804041,60920697,60932126,61039001,61092280,61589777,61760335,61991885,62425997,62458552,62568422,62942992,62962371,63037853,63082857,63212297,63292224,63618036,63698673,63978398,64296230,64461775,64512090,64880892,64927713,64977281,65256642,65565497,66077081,66157526,66169430,66592673,66851777,66936077,67070217,67338782,67426697,67592102,67941785,68728815,68804463,68812896,68926886,69018905,69228221,69473921,69505833,69723977,70112577,70205246,70248875,70265871,70389330,70446737,70631885,70718457,70810866,70960361,71127582,71203752,71819021,71891801,72119513,72150230,72249401,72722753,73162243,73216022,73310736,73388068,73531241,73550895,73734897,74077238,74112402,74335593,74390262,74509382,74609366,75010516,75081952,75653204,75731678,76090721,77155476,77326113,77354130,77412291,77414508,77623977,78434342,78454288,79051046,79403316,79553080,79702977,80008697,80104221,80580413,80590737,80683673,80746855,80758238,81181497,81269897,81302285,81447401,81530142,81796646,81910075,82096937,82474578,82511072,82822686,82826966,83269142,83558813,84016635,84050390,84105758,84298650,84467196,84497273,84707913,84758262,85042238,85259873,85841942,85893917,86121062,86131037,86168073,86526041,86580276,86583485,86588321,86642630,86914815,87332313,87586061,87747377,87852436,88229050,88261074,88298273,88675073,88911017,89210585,89383460,89497215,89617744,89745686,89918560,90396977,90498041,90869108,90904937,91305785,91620617,92088250,92310413,92709136,92824956,92953526,93300593,93618353,93765737,93891255,93916685,94395830,95132390,95463696,95478905,95647577,95669697,95799902,96198260,96237993,96518585,96633638,96633878,96715046,96896226,97031935,97371993,97394596,97462708,97562742,97573181,98024606,98126093,98292090,98398742,98443636,98466980,98704841,99082493,99092895,99093917,99910857,...,101845487585000149010506067041370898884272685863360350875673158344352042793439732418092089926851595590647104042022946824517323999212451541641465299452787402397610380298850094871738723903185784428548197566088625147613447473176822515528483705787194847753400764801159803257315622681989036750683461897892950270797349174134049495718387344169284915502764604913505639494853742795672360777258821824428783760940657522032971168929226977085132169713555102147017505212885384332221891581470271824469101962070471469320226430124707219721317373165052766004373069330925636677471448731924490795984347774604568076648340627015271919591502111170852679553166366034846817118224996251803624251906989761524257661347591909000414205041778385085572924319785665279210116382532598790926726121841469687052215884198042647712214398375618707850959086847295399996510223427777249665897928809780304033609687293941366023862653792100587340445513608266730199384695824798983006691382968336670476628138116141389758628236085560994179053239316901765041256661233854092547535948748936039899514065388785003036897773737475548343127096858022742628661854398610499307339358590659773343725299284795381933145858340699380290270246368540690071460114219822997542631565165058478663324030263289411108457334052981362055150541566871042298278702269696284582533112089098224155638725569767688341332907882532762571180080167171231553042255060237478307305826256871068956302514366557227466449279811224045486435403223035448047609421882052810332118356860815223746921972072620071847703203845341478110901993675492290556922903900082406496953029286811895009431303304518446580970435729166200807667852165192007476360514985976395614384619313178223175819151528947415646558869269702272369707800065241689023351666690957496737807769193734076617405480354800869322658601608753148758941942031493718365784190625809335626869204503607631361862510632275468501051300488203058052493186771188435750681344753938663412409806518094518691807806374903244467783330703709532084921100341234532226000430958022045128415577984241698879186260398612576460890342880047482923323221996155286561449298702814162136764625746969124655970759049219149779169657995222532607919857671802536830876813737491613293792902125936505100461344071042992794944239016316836881285351527406838476144672614082507317268164086832765922552960770066359777751350355897703472742590936870935948424761151218718536839094358108655485716947641553427271271565061375129013392044691262929178443769006562523250797804351536697909530946186970027386643254674104552655681628277742993031896921225534881349050724394455308454353680256184193127219159871821742362838574305790290866903958968821527166686237515825068020925283543872015396571281067115900823059083004349165121655413724703341880599318144830609824387301288392909725691031798282841525180237132912260970444035374792669313027181356896857442425607396648740199301080277888803160852302823044398604603601695152113291323048359491877103892321298655770827917453552178173061421699443943531168435603438545249942807154073431574005601827971843454557055824593261993252579374028079577761972847607692}
19424  31508374606289235486637981632535247465798763292971047432176229081410428: {58263,135919,194170,233004,717319,737314,833383,1202242,1319404,1589242,1666594,2249356,2910223,3024919,3178156,3441274,3642124,3711583,3783585,3979714,4035824,4053943,4363834,4482093,4540302,4623103,4807976,5335825,5408973,5416903,5736776,5743354,6278434,6402990,6432319,6453873,6655229,6660154,6829856,7106023,7346242,7683588,7804876,8107042,8433345,8995568,9169474,9245242,9365853,9507470,10107436,10120014,10755345,10757242,10832674,11149825,11408964,11472368,11858383,12158157,12495585,12856233,12906414,13312954,13328624,13379790,13462714,13582100,13700503,14271776,14667319,14714733,14994702,15552634,15998842,16055748,16298520,16371703,16680153,16794919,16808529,16815394,16837448,17037754,17385088,17556034,17847919,18053021,18130585,18267103,18335835,18337036,18371719,18547617,18942129,19032514,19253434,19403000,19558224,19699564,19768354,19824717,19857325,20153164,20448919,20552023,21028385,21235234,21374263,21512236,21756702,21828375,21849149,21885823,21917649,22003002,22089943,22733913,22939553,23274536,23278114,23283600,23409703,23510719,23611663,23654433,23828790,23942945,24014719,24069585,24835840,24917383,25234062,25236154,25405869,25417376,25674224,25790030,25809421,25886242,26012719,26111863,26183853,26194050,26473324,26535034,27540401,27590383,27756994,27855176,27940320,28043842,28109145,28363181,28402042,28469719,28594548,28731534,28883502,29164684,29436701,29536543,29612236,29803008,29983088,29991689,30040550,30596648,30628713,30786103,30827194,30909505,30948036,30990945,31182274,31213070,31337073,31432860,31739023,31845676,32023569,32305406,32421416,32669242,32739874,32770790,32873023,33057008,33528384,33730974,33810103,34008514,34359994,34421229,34739983,34781242,34960396,34982705,35123249,35831842,36040433,36048660,36121303,36251074,36474093,36745545,36842900,36851383,37091406,37157434,37189134,37455684,37574842,37719432,37885945,38061004,38207863,38451904,38502796,38615842,38820782,39192319,39195248,39238714,39324948,39343430,39385516,40067194,40079719,40432663,40518830,40520719,40564433,40608703,40618234,41397319,41979246,42052430,42128314,42353263,42416456,42434361,42612463,42743842,42845270,43061745,43258392,43494394,43642783,43820441,44094654,44211480,44514754,44590100,44786242,44831719,44916103,45354945,45463134,45588583,45801273,45932528,46089919,46150580,46405804,46409794,46422703,46746874,46814242,47150842,47158912,47212116,47218114,47249623,47331919,47718513,47754445,48218745,48378608,48584524,48622596,48665691,48881863,48970733,49162042,49562554,49737915,49829242,50087143,50176070,50462916,50542376,50755166,50756044,50760634,51241585,51414324,51433328,51442376,51556474,51651345,51674094,52151842,52488076,52658177,53053776,53207074,53240648,53375743,53455745,53508120,53535994,53733154,53784076,53931757,53987743,54127042,54367903,54425934,54525325,54651233,54782242,54897103,55075118,55094768,55380696,55458260,55681613,55696834,55870543,55933736,55944919,56087842,56204900,56315719,56478274,56792145,56860173,57051919,57075328,57305334,57417319,57862494,57872673,57949190,58070503,58142719,59642623,59685498,59895729,60030394,60074900,60196635,60211284,60543034,60578288,60902983,60991502,61489902,61505644,61565242,61605841,61947514,61981614,62197448,62225969,62276023,62303283,62600630,62749783,62925453,62951743,63420463,64146894,64165954,64209744,64281583,64356897,65331436,65430390,65675842,65696708,65711143,65929400,66539503,66549912,66654248,66989434,67044585,67056249,67445880,67550242,67612474,67979857,68150574,68159719,68171842,68221063,68647502,68769919,68853754,69039394,69425697,69539028,69608945,69780514,69792416,69958190,69972129,70004793,70498783,70580794,70790743,70887874,71514224,71623234,71680100,71942272,71997319,72053983,72075244,72089880,72173242,72197188,72235962,72336223,72417274,72507380,72839719,73061623,73633594,73694242,74170575,74207719,74689183,74868651,74986029,75002476,75120756,75524648,75841543,75876615,76167034,76365350,76607263,76758463,76895872,76945474,77084716,78073190,78234823,78415526,78516468,78522319,78569983,78678740,78948703,79115280,79229719,79461919,79522545,79987756,80453502,80543073,80595919,80861383,80935056,81101115,81120494,81149242,81227596,81383674,81500794,81513703,82027042,82316719,82523719,82901242,83093743,83323273,83424034,83492263,83530734,83688823,83949828,84110476,84389632,84457063,84824048,84931564,84965229,85014343,85214842,85268863,85731874,85846594,85976623,86016120,86075842,86080303,86251663,86319703,86454919,86507856,86570284,86787919,86876194,86919103,87008856,87133233,87218242,87275194,87631838,88077943,88748623,89004690,89055919,89113838,89145634,89258434,89426956,89592319,89696143,89824303,89875063,90102394,90197983,90366823,90830914,90917489,90941023,91051938,91110394,91136719,91158103,91166242,91398189,91638420,91668154,91735085,91739284,91750528,91935919,92223343,92309383,92360143,92476063,92486702,92540719,92674444,92681983,92772919,92778874,92834242,92904463,93002743,93166114,93324943,93372319,93418543,93483436,93607714,93652183,93687828,93700423,93763145,93773863,93852440,93852633,93906919,93937303,93952063,94008223,94014919,94040983,94138903,94230422,94291276,94313143,94318183,94414488,94566505,94762042,94836776,94938336,95179549,95427054,95560241,95909314,95967597,96444345,96768135,97321338,97697914,97747648,97751842,97884963,98067860,98313196,98558842,98816536,98827042,99114124,99187016,99236289,99254145,99441350,99629242,...,152768231377500223515759100562056348326409028795040526313509737516528064190159598627138134890277393385970656063034420236775985998818677312462197949179181103596415570448275142307608085854778676642822296349132937721420171209765233773292725558680792271630101147201739704885973434022983555126025192846839425406196023761201074243577581016253927373254146907370258459242280614193508541165888232736643175641410986283049456753393840465627698254570332653220526257819328076498332837372205407736703652943105707203980339645187060829581976059747579149006559603996388455016207173097886736193976521661906852114972510940522907879387253166756279019329749549052270225677337494377705436377860484642286386492021387863500621307562667577628359386479678497918815174573798898186390089182762204530578323826297063971568321597563428061776438630270943099994765335141665874498846893214670456050414530940912049035793980688150881010668270412400095299077043737198474510037074452505005714942207174212084637942354128341491268579858975352647561884991850781138821303923123404059849271098083177504555346660606213322514690645287034113942992781597915748961009037885989660015587948927193072899718787511049070435405369552811035107190171329734496313947347747587717994986045394934116662686001079472043082725812350306563447418053404544426873799668133647336233458088354651532511999361823799143856770120250756847329563382590356217460958739385306603434453771549835841199673919716836068229653104834553172071414132823079215498177535291222835620382958108930107771554805768012217166352990513238435835384355850123609745429543930217842514146954956777669871455653593749301211501778247788011214540772478964593421576928969767334763728727293421123469838303904553408554561700097862533535027500036436245106711653790601114926108220532201303983987902413129723138412913047240577548676285938714003440303806755411447042793765948413202751576950732304587078739780156782653626022017130907995118614709777141778037711709562354866701674996055564298127381650511851798339000646437033067692623366976362548318779390597918864691335514320071224384984832994232929842173948054221243205146938620453686983956138573828724668754486992833798911879786507703805246315220606237419940689353188904757650692016106564489192416358524475255321928027291110257714217008921123760975902246130249148883829441155099539666627025533846555209113886405306403922637141726828077805258641537162983228575421462330140906907347592062693520088067036894393767665653509843784876196706527305046864296419280455041079964882011156828983522442416614489547845381838302322023576086591682962681530520384276289690828739807732613544257861458685436300355938453232290750029356273737602031387925315808023094856921600673851234588624506523747682483120587055012820898977217245914736580951932589364588536547697424262287770355699368391455666053062189003969540772035345286163638411094973110298951620416833204741278454234566597906905402542728169936984572539237815655838481947983656241876180328267259592132549165915296752653405157817874914210731110147361008402741957765181835583736889892989878869061042119366642959271411538}
19425  31632412447255425600629450069267575828905918695078288375167507488684341: {38846,77684,291255,310672,349506,1105971,1649255,1803363,1979106,2347763,2383863,2499891,2811695,3374034,3531346,3972695,4206979,4552655,4767234,4905923,5019679,5044780,5161911,5463186,5603999,5969571,5976124,6009970,6053736,6545751,6810453,6998707,7170970,7211964,7810543,7871122,8537320,8605164,8615031,8737223,9417651,9553847,9579154,9604485,9756095,9990231,10038322,10244784,10251491,11019363,11244460,11525382,11593426,11662546,11707314,12160563,12487804,12524002,12634295,12921791,13217842,13493352,13754211,13867863,14261205,14340460,14613274,14732767,15161154,15180021,15211952,15619474,16135863,16210876,16249011,16660780,16938994,16977625,17113446,17141644,17208552,17839720,18636826,19359621,19619644,19854991,19969431,19992936,20069685,20194071,20365219,20373150,21046810,21407664,21731360,22240204,22411372,22464946,22492053,22821394,22921295,23328951,23991143,23998263,24083622,24253750,24373279,24447780,24624455,24730156,25191455,25223091,25256172,25556631,25854751,26077632,26235202,26334051,26432956,26772067,26814871,26890295,27505554,28368739,28548771,28880151,28924882,29008936,29093170,29104500,29223532,29229647,29337336,29549346,29652531,30229746,30311884,31044800,31539244,31771720,31852851,32092780,32268354,32635053,33004503,33091655,33600754,33645416,33874492,34295842,34818970,34826311,34911804,34917171,34925400,35108519,35586487,35743185,36455855,36558703,36879971,37015295,37114399,37253760,37478860,37851093,37854231,38126064,38245810,38308712,38511336,38685045,38829363,39291075,39709986,39737344,39802551,39807095,40190962,40526770,40788631,40838284,41264048,41321260,41635491,41782764,41910480,42065763,42331282,42603063,42698092,42891822,43097301,43325253,43700495,43747026,43754194,44224579,44418354,44704512,44836223,44974632,45004162,45012079,45060825,45250543,45894972,46053625,46240791,46422054,46585567,46773411,46819605,47149290,47576255,47768514,47984506,48064880,48128495,48207922,48220471,48458109,48632124,48783047,48942019,48994060,49003863,49109811,49156185,49160903,49231895,49455208,49585512,49704031,49940912,50132111,50292576,50596461,50705434,50884147,51012771,51539991,52160434,52171863,52433264,52440594,52909043,53006002,53020570,53571587,53747763,54072990,54156839,54267071,54376611,54422767,54699034,55264350,55637109,55736151,55737625,55783701,55972328,56183526,56362263,56440207,56579148,57091506,57107791,57415660,57419767,57677856,57688225,57754194,57923763,58007255,58231173,58322467,58792872,58858071,58936834,58948640,58987422,59015145,59078274,59584306,59853767,60100791,60473260,60610951,60617512,60730655,60778245,60927351,61068364,61626983,62574946,62949488,62968869,63078645,63177970,63192471,63445055,63624684,63681082,64115763,64267905,64291660,64302970,64337639,64830128,64887588,65241591,65610095,65681303,66084067,66141981,66317220,66550810,66772131,66885150,67179363,67230095,67283888,67433743,68194701,68400154,68552432,68650426,68868460,68898792,69026914,69225870,69322825,69608706,69614691,69917170,70120311,70221363,70256125,70454071,70720114,70726263,70738368,70818174,70827171,71344160,72567912,72621667,72629663,72876786,72933894,73743063,73840928,74019479,74221042,74343831,74743863,75093625,75264105,75544114,75610834,75694374,75722860,75813564,75824026,75854179,76132749,76134066,76140951,76407112,76516007,76577842,76882055,77121486,77149992,77163564,77334711,77511141,77746810,78143986,78227763,78732114,79580664,79810611,79860972,80177603,80262180,80281712,80303991,80599731,80676114,80685887,81190563,81278371,81603874,81638901,81664295,81742919,81986536,82105543,82120885,82173363,82411750,82612677,82642152,82982179,83071044,83187390,83317810,83545251,83866343,83900604,84114514,84131763,84307350,84393923,84717411,84852311,85529192,85612992,85809196,85958001,86464469,86528026,86788639,86793741,86923785,87240520,87437794,87522647,88733216,89392780,89408332,89501074,89528247,89600125,89927840,90014722,90045591,90094055,90112350,90246485,90316926,90332551,90634225,90814551,90867432,91055842,91487253,92234853,92258466,92347863,92567596,92637202,92718704,92921271,92972421,93296172,93339724,93626479,93753095,93900945,94405810,95118499,95441554,95783602,95940994,96119840,96220341,96248931,96314616,96355895,96626467,96643954,97174243,97330739,97997154,98145585,98348425,98408986,98513763,98545062,98884639,98894100,98997607,99364114,99397714,99824868,99981372,99984695,...,229152347066250335273638650843084522489613543192560789470264606274792096285239397940707202335416090078955984094551630355163978998228015968693296923768771655394623355672412713461412128782168014964233444523699406582130256814647850659939088338021188407445151720802609557328960151034475332689037789270259138109294035641801611365366371524380891059881220361055387688863420921290262811748832349104964763462116479424574185130090760698441547381855498979830789386728992114747499256058308111605055479414658560805970509467780591244372964089621368723509839405994582682524310759646830104290964782492860278172458766410784361819080879750134418528994624323578405338516006241566558154566790726963429579738032081795250931961344001366442539079719517746878222761860698347279585133774143306795867485739445595957352482396345142092664657945406414649992148002712498811748270339822005684075621796411368073553690971032226321516002405618600142948615565605797711765055611678757508572413310761318126956913531192512236902869788463028971342827487776171708231955884685106089773906647124766256833019990909319983772035967930551170914489172396873623441513556828984490023381923390789609349578181266573605653108054329216552660785256994601744470921021621381576992479068092401174994029001619208064624088718525459845171127080106816640310699502200471004350187132531977298767999042735698715785155180376135270994345073885534326191438109077959905151680657324753761799510879575254102344479657251829758107121199234618823247266302936834253430574437163395161657332208652018325749529485769857653753076533775185414618144315895326763771220432435166504807183480390623951817252667371682016821811158718446890132365393454651002145593090940131685204757455856830112831842550146793800302541250054654367660067480685901672389162330798301955975981853619694584707619369570860866323014428908071005160455710133117170564190648922619804127365426098456880618109670235173980439033025696361992677922064665712667056567564343532300052512494083346447191072475767777697508500969655549601538935050464543822478169085896878297037003271480106836577477249491349394763260922081331864807720407930680530475934207860743087003131730489250698367819679761555707869472830909356129911034029783357136476038024159846733788624537786712882982892040936665386571325513381685641463853369195373723325744161732649309499940538300769832813670829607959605883955712590242116707887962305744474842863132193495211360361021388094040280132100555341590651498480264765677314295059790957570296444628920682561619947323016735243475283663624921734321768072757453483035364129887524444022295780576414434536243109711598920316386792188028154450533907679848436125044034410606403047081887973712034642285382401010776851882936759785621523724680880582519231348465825868872104871427898884046882804821546136393431655533549052587183499079593283505954311158053017929245457616642459665448427430625249807111917681351849896860358103814092254905476858808856723483757722921975484362814270492400889388198823748872945128980107736726812371316096665221041512604112936647772753375605334839484818303591563179049964438907117307}
19426  31756935103065189894124418454634867101468006864481680250601660553965051: {58269,97105,116526,271838,388340,446269,466008,524259,910813,1026769,1434638,1474628,1666766,2067133,2404484,2638808,2642593,2968659,3178484,3216253,3333188,4498712,5039869,5061051,5153233,5297019,5820446,6049838,6305975,6356312,6620413,6732769,6882548,7150851,7284248,7405393,7423166,7470155,7567170,7959428,8071648,8107886,8194779,8727668,8853853,8964186,9014955,9075613,9080604,9246206,9615952,9628753,10510033,10671650,10756455,10817946,10833806,11058493,11473552,11486708,11806683,12258769,12556868,12693073,12801469,12805980,12864638,12907746,13310458,13320308,13659712,14055575,14212046,14368731,14692484,15057483,15061153,15367176,15594493,15609752,15609755,16214084,16444093,16866690,17288073,17390139,17493819,17560971,17925575,17991136,18129469,18338948,18490484,18652369,18731706,18786003,19014940,19826763,20106913,20214872,20240028,20263595,20825975,21427055,21510690,21514484,21665348,21751969,21919911,22299650,22741731,22817928,22944736,23176273,23277469,23429211,23681533,23716766,24316314,24524555,24686653,24991170,25382819,25408491,25670169,25712466,25812828,25883293,26625908,26657248,26675293,26759580,26925428,27164200,27266269,27401006,27800255,27955239,28014215,28543552,28829533,29120593,29334638,29429466,29439739,29989404,30086113,30502043,30559725,30912695,31105268,31570215,31997684,32111496,32468413,32597040,32743406,33041195,33360306,33408733,33520123,33589838,33617058,33630788,33674896,33697419,34062673,34075508,34232091,34770176,35112068,35452093,35695838,36106042,36125433,36261170,36369373,36380625,36529415,36534206,36671670,36674072,36743438,37095234,37884258,37889855,38065028,38451793,38506868,38541469,38806000,38899453,39116448,39352803,39399128,39424055,39523153,39536708,39649434,39714650,39877969,39879059,40115975,40306328,40759969,40847773,40897838,41104046,41258331,41547613,42056770,42343115,42470468,42593239,42748526,42933469,43024472,43273307,43387323,43513404,43639755,43656750,43698298,43771646,43835298,44006004,44179886,44324019,44639869,45344619,45467826,45879106,45900769,46234273,46549072,46556228,46567200,46815133,46819406,46848575,47021438,47223326,47308866,47638813,47657580,47884513,47885890,48029438,48139170,48402531,48455293,48975787,49264573,49671680,49834766,50401131,50468124,50472308,50811738,50834752,51047855,51348448,51443763,51580060,51618842,51651575,51772484,51962269,52025438,52040353,52223726,52228455,52367706,52388100,52946648,53040323,53070068,53202973,53372615,53510269,53586913,53937323,53969053,55080802,55180766,55329853,55513988,55710352,55880640,56087684,56218290,56224093,56726362,56804084,56939438,57181153,57189096,57254269,57368715,57463068,57691453,57767004,57909073,58329368,58873402,59073086,59130013,59224472,59343313,59564979,59606016,59966176,59983378,60081100,60286443,60790155,60887713,61193296,61242575,61257426,61572206,61612199,61654388,61819010,61852369,61896072,61981890,62232391,62261473,62364548,62426140,62674146,62865720,63138973,63272893,63473233,63478046,63496923,63691352,63737531,64047138,64337733,64530769,64610812,64842832,64922593,65338484,65479748,65541580,65569873,65620539,65631291,65746046,65826769,66114016,66209953,66627531,66716833,66856223,67056768,67461948,67506243,67620206,67654813,68017028,68025469,68637469,68719988,68842458,68853587,68940769,69001213,69242269,69479966,69562484,69633081,69920792,69965410,70076893,70135969,70194973,70246498,70723935,70955473,71071393,71532193,71652771,71663684,71738219,71769575,71976759,72080866,72097320,72158269,72242606,72311883,72496093,72502148,72668123,72806903,72948186,73053373,73491090,73685800,73702766,74182812,74314868,74378268,74628769,74838043,74911368,75149684,75438864,75591575,75679969,75771890,75886753,76058151,76122008,76335455,76415726,76752733,76903808,77005592,77231684,77641564,77988433,78240651,78374353,78384638,78390496,78477428,78649896,78660891,78686860,78771032,79085533,79132369,79411873,79509003,79530855,79826269,80008573,80099293,80134388,80159438,80339831,80364575,80770513,80865326,81037660,81041438,81109485,81128866,81208993,81217406,81236468,81382369,81980113,82048551,82439869,82686973,82794638,82809553,82850269,82896525,83293393,83844769,83958492,84104860,84256628,84275289,84706526,84832912,84868722,85224926,85485793,85487684,85637259,85690540,85734013,86085575,86123490,86185633,86423773,86516784,86631291,86691613,86988788,87052369,87285566,87404413,87530269,87640882,87961693,88172113,88189308,88405251,88422960,88437469,88481133,88553533,88617411,89029508,89180200,89252833,89376459,89387293,89440573,89519953,89546269,89572484,89572513,89663438,89702653,89832206,90057469,90082273,90398173,90655969,90709890,90792913,90926268,90971473,91080733,91177166,91188193,91602546,91865056,91890013,92179838,92301160,92536033,92678269,92739613,92811608,92819588,92845406,92959393,92973469,93042769,93126011,93162973,93301969,93493748,93543133,93574993,93626653,93628484,93779869,93788833,93832573,93862419,94010593,94050769,94082269,94134433,94165969,94190269,94255933,94295713,94301684,94312093,94317824,94326493,94334269,94341073,94424232,94436228,94499246,94653575,94663838,94766955,95437026,95508890,95521623,96437490,96454455,96757216,97169048,97245192,97331382,97452523,97763726,97941466,98324084,98472959,99125108,99475830,99658484,99826215,...,305536462755000447031518201124112696652818057590081052627019475033056128380319197254276269780554786771941312126068840473551971997637354624924395898358362207192831140896550284615216171709557353285644592698265875442840342419530467546585451117361584543260202294403479409771946868045967110252050385693678850812392047522402148487155162032507854746508293814740516918484561228387017082331776465473286351282821972566098913506787680931255396509140665306441052515638656152996665674744410815473407305886211414407960679290374121659163952119495158298013119207992776910032414346195773472387953043323813704229945021881045815758774506333512558038659499098104540451354674988755410872755720969284572772984042775727001242615125335155256718772959356995837630349147597796372780178365524409061156647652594127943136643195126856123552877260541886199989530670283331748997693786429340912100829061881824098071587961376301762021336540824800190598154087474396949020074148905010011429884414348424169275884708256682982537159717950705295123769983701562277642607846246808119698542196166355009110693321212426645029381290574068227885985563195831497922018075771979320031175897854386145799437575022098140870810739105622070214380342659468992627894695495175435989972090789868233325372002158944086165451624700613126894836106809088853747599336267294672466916176709303065023998723647598287713540240501513694659126765180712434921917478770613206868907543099671682399347839433672136459306209669106344142828265646158430996355070582445671240765916217860215543109611536024434332705981026476871670768711700247219490859087860435685028293909913555339742911307187498602423003556495576022429081544957929186843153857939534669527457454586842246939676607809106817109123400195725067070055000072872490213423307581202229852216441064402607967975804826259446276825826094481155097352571877428006880607613510822894085587531896826405503153901464609174157479560313565307252044034261815990237229419554283556075423419124709733403349992111128596254763301023703596678001292874066135385246733952725096637558781195837729382671028640142448769969665988465859684347896108442486410293877240907373967912277147657449337508973985667597823759573015407610492630441212474839881378706377809515301384032213128978384832717048950510643856054582220515428434017842247521951804492260498297767658882310199079333254051067693110418227772810612807845274283453656155610517283074325966457150842924660281813814695184125387040176134073788787535331307019687569752393413054610093728592838560910082159929764022313657967044884833228979095690763676604644047152173183365925363061040768552579381657479615465227088515722917370872600711876906464581500058712547475204062775850631616046189713843201347702469177249013047495364966241174110025641797954434491829473161903865178729177073095394848524575540711398736782911332106124378007939081544070690572327276822189946220597903240833666409482556908469133195813810805085456339873969145078475631311676963895967312483752360656534519184265098331830593505306810315635749828421462220294722016805483915530363671167473779785979757738122084238733285918542823076}
19427  31881944455148494290189988963909300919136682855856785771174747018677809: {19427,77692,155368,174789,407757,485425,582510,621344,699012,1843285,2151957,2211942,2308957,2500149,2774629,3005605,3298510,3606726,3936373,3958212,3973105,4166485,4695526,4767726,4999782,5561773,5623390,5797909,6184453,6263293,6373717,6748068,7062692,7580317,7887253,7945390,8413958,8603185,8730669,9074757,9105310,9163429,9534468,9554833,9811846,9949285,10039358,10089560,10212733,10252549,10323822,10325809,10677829,10909585,10926372,11134749,11207998,11350755,11939142,11952248,12019940,12107472,12161829,12185617,13091502,13446279,13620906,13658533,13812949,13869309,13997414,14341940,14358385,14423928,15621086,15696085,15742244,16007475,16226919,16250709,16650385,17074640,17210328,17230062,17474446,17651029,17688013,18365605,18835302,19107694,19158308,19208970,19296957,19361619,19512190,19965687,19980462,20076644,20267605,20489568,20502982,20613373,21318069,22038726,22488920,22726693,22923685,23050764,23113105,23186852,23325092,23414628,23768675,24321126,24975608,25048004,25268590,25300035,25843582,26435684,26893105,26946733,26986704,27081685,27508422,27735726,28097559,28353169,28522410,28680920,29226548,29465534,30322308,30360042,30423904,31238948,31570789,31578613,32089813,32266035,32271726,32421752,32498022,32668429,33153553,33260293,33282385,33321560,33449475,33656785,33877988,33955250,34226892,34283288,34417104,34474237,35268037,35360413,35575149,35679440,35764753,36474471,37273652,37486755,37646413,37877653,38568699,38719242,38881585,39238933,39239288,39709982,39938862,39985872,39997105,40139370,40388142,40730438,40746300,41101509,41647573,42010609,42038485,42093620,42594385,42706597,42815328,43462720,43890085,44001957,44144199,44259829,44480408,44822744,44886817,44929892,44984106,45642788,45724069,45842590,46328317,46657902,47581285,47982286,47996526,48133585,48167244,48507500,48746558,48895560,49115109,49166029,49248910,49420885,49437853,49460312,49836529,50040459,50382910,50384757,50425587,50446182,50512344,50751013,51038197,51113262,51709502,51821413,52155264,52470404,52668102,52865912,53069293,53088085,53543757,53544134,53629742,53780590,54159063,54293713,54391755,54522229,54801309,55007505,55011108,55115157,55387573,55642851,55729933,56576017,56737478,56826387,57097542,57760302,57849764,58017872,58069549,58099249,58186340,58195285,58209000,58316533,58447064,58459294,58519933,58674672,59098692,59305062,59474151,59571975,60459492,60623768,60710317,60972529,61180693,61346757,61656069,62089600,62404093,62528869,63078488,63085155,63090385,63543440,63558193,63705702,63981613,64003537,64122789,64185560,64344337,64434133,64475075,64536708,64715605,64990813,65270106,65485125,65547447,65657469,65752947,66009006,66183310,66269829,66337585,66606757,67201508,67214629,67290832,67379893,67748984,68201739,68591684,68818659,68885269,68924653,69392485,69637940,69652622,69823608,69834342,69850800,70109605,70217038,70229109,70532157,70725853,70834989,70963299,71005105,71172974,71486370,71664613,71828835,71906773,72044157,72082993,72208755,72786373,72831889,72911710,73117406,73195333,73759942,73889317,74027197,74030590,74228798,74507520,74671633,74675569,74752149,74957720,75101375,75702186,75708462,76217607,76252128,76296853,76491620,76520149,76617424,76712353,77022672,77067985,77370090,77428263,77633029,77658726,77955685,78032675,78038157,78335589,78551559,78582150,79365253,79419972,79474688,79605102,79614190,80381924,80763515,81053540,81210157,81577262,81673105,81676568,81792973,81849685,81926975,82528096,82621203,82642520,82727653,82771149,83174929,83270982,83565528,83820960,84131526,84327435,84402709,84662564,85021285,85022917,85089543,85206126,85277629,85396184,85409157,85783644,85899985,86194602,86650506,86953105,87026917,87400990,87494052,87508388,87531793,88173373,88310103,88449158,88609629,88823077,88836708,89291809,89409024,89579605,89672446,89906029,89949264,89975067,90008324,90024158,90121650,90501086,90627685,91359733,91757773,91789944,91854133,91886139,92107250,92358309,92455429,92481582,92728515,92844108,92893585,92972835,93135733,93171134,93348373,93546822,93639210,93937105,94011219,94122133,94298580,94755349,95152510,95217069,95306893,95537028,95969012,96070707,96129760,96256990,96415844,96440942,96539605,96916218,96923917,97051955,97264248,97566094,97819429,97884038,97988120,98007726,98096785,98219622,98312370,98321806,98358575,98379349,98463790,98619069,98910416,99114769,99171024,99408062,99765829,99881824,...,458304694132500670547277301686169044979227086385121578940529212549584192570478795881414404670832180157911968189103260710327957996456031937386593847537543310789246711344825426922824257564336029928466889047398813164260513629295701319878176676042376814890303441605219114657920302068950665378075578540518276218588071283603222730732743048761782119762440722110775377726841842580525623497664698209929526924232958849148370260181521396883094763710997959661578773457984229494998512116616223210110958829317121611941018935561182488745928179242737447019678811989165365048621519293660208581929564985720556344917532821568723638161759500268837057989248647156810677032012483133116309133581453926859159476064163590501863922688002732885078159439035493756445523721396694559170267548286613591734971478891191914704964792690284185329315890812829299984296005424997623496540679644011368151243592822736147107381942064452643032004811237200285897231131211595423530111223357515017144826621522636253913827062385024473805739576926057942685654975552343416463911769370212179547813294249532513666039981818639967544071935861102341828978344793747246883027113657968980046763846781579218699156362533147211306216108658433105321570513989203488941842043242763153984958136184802349988058003238416129248177437050919690342254160213633280621399004400942008700374265063954597535998085471397431570310360752270541988690147771068652382876218155919810303361314649507523599021759150508204688959314503659516214242398469237646494532605873668506861148874326790323314664417304036651499058971539715307506153067550370829236288631790653527542440864870333009614366960781247903634505334743364033643622317436893780264730786909302004291186181880263370409514911713660225663685100293587600605082500109308735320134961371803344778324661596603911951963707239389169415238739141721732646028857816142010320911420266234341128381297845239608254730852196913761236219340470347960878066051392723985355844129331425334113135128687064600105024988166692894382144951535555395017001939311099203077870100929087644956338171793756594074006542960213673154954498982698789526521844162663729615440815861361060951868415721486174006263460978501396735639359523111415738945661818712259822068059566714272952076048319693467577249075573425765965784081873330773142651026763371282927706738390747446651488323465298618999881076601539665627341659215919211767911425180484233415775924611488949685726264386990422720722042776188080560264201110683181302996960529531354628590119581915140592889257841365123239894646033470486950567327249843468643536145514906966070728259775048888044591561152828869072486219423197840632773584376056308901067815359696872250088068821212806094163775947424069284570764802021553703765873519571243047449361761165038462696931651737744209742855797768093765609643092272786863311067098105174366998159186567011908622316106035858490915233284919330896854861250499614223835362703699793720716207628184509810953717617713446967515445843950968725628540984801778776397647497745890257960215473453624742632193330442083025208225873295545506751210669678969636607183126358099928877814234614}
19428  32007442392184464989448738360544467699236605920871873276221741307651247: {97115,116538,135947,194210,213587,233052,543676,717467,776680,794867,873765,892538,910907,932016,1048518,1821626,2053538,2105771,2451227,2681171,2869276,2949256,3317913,3333532,3445571,3674267,3788507,4134266,4808968,4947765,5191547,5277616,5285186,5410089,5870147,5937318,6356968,6432506,6621107,6658571,6666376,6845771,7043289,7151589,7499673,7555307,7964771,8435085,8521571,8828365,8997424,9629771,10079738,10122102,10306466,10458217,10594038,10730771,11640892,11860907,11918085,12042467,12099676,12611950,12620937,12712624,13240826,13271771,13465538,13595627,13657965,13765096,14133947,14301702,14568496,14717769,14810786,14846332,14940310,15024925,15059037,15098387,15134340,15485733,15918856,16143296,16215772,16389558,16445867,16798547,16811997,16868987,17455336,17501507,17707706,17851787,17908713,17921747,17927425,17928372,18026627,18029910,18151226,18161208,18492412,18967307,19231904,19257506,19279571,19487387,19637253,19677805,19936667,20431359,20453387,20996121,21020066,21343300,21378947,21512910,21635892,21667612,21853657,22116986,22162787,22366571,22502267,22874771,22947104,22973416,23212571,23431629,23515907,23583227,23613366,23684147,23947885,24517538,24689387,24922907,25095805,25113736,25386146,25602938,25611960,25729276,25815492,25845093,25886171,26018507,26084627,26211669,26414747,26620916,26640616,26711171,26875571,27319424,28111150,28252953,28369033,28424092,28541027,28661541,28737462,28813455,28865147,28983565,29123867,29156365,29268285,29384968,29607587,29970693,29997877,30114966,30121571,30122306,30473747,30734352,30754473,30888707,31079771,31188986,31219504,31219510,31310005,31746227,32220107,32428168,32472107,32888186,32943227,33044605,33058089,33131171,33733380,33786707,34097627,34334377,34531571,34576146,34780278,34809707,34987638,35025587,35121942,35271827,35456171,35851150,35915771,35982272,36047869,36190667,36258938,36481689,36533185,36556187,36677896,36829571,36950867,36980968,37304738,37463412,37572006,37902885,38029880,38216747,38456267,38486171,38765373,38920357,38933771,39048685,39219901,39557387,39653526,40148027,40213826,40429744,40480056,40527190,40588907,40852571,41115587,41262633,41465267,41552507,41603589,41651950,42347485,42783615,42854110,42881171,43021380,43024571,43028968,43139147,43277773,43330696,43503938,43839822,43994387,44198301,44570713,44599300,44983067,45151571,45483462,45540063,45571571,45635856,45889472,46100987,46239827,46257673,46352546,46516907,46554938,46592065,46858422,47129797,47363066,47398187,47433532,48053771,48407589,48632628,48747033,49049110,49297427,49373306,49431587,49982340,50179187,50338571,50471171,50735771,50765638,50816982,50932875,51141181,51340338,51424932,51625656,51766586,52617025,53045797,53235227,53251816,53314496,53350586,53519160,53619107,53850856,53975771,54001187,54128147,54328400,54532538,54802012,55193677,55211747,55361771,55600510,55636067,55910478,56028430,56082827,56162365,56231171,56255867,56329907,57053485,57087104,57358907,57431867,57659066,58078863,58085267,58157507,58205627,58241186,58669276,58858932,58879478,58923587,58994987,59137571,59280361,59564973,59634347,59908293,59940107,59978808,60172226,60209055,60291227,60582213,60634375,60756587,60918707,61004086,61095657,61119450,61333787,61586171,61723427,61825390,62019827,62210536,62292227,62608571,62833571,63140430,63169571,63281171,63481547,63503771,63744109,63968627,63995368,64078787,64222992,64276571,64408067,64931171,64936826,65017907,65194080,65342027,65449667,65486812,65588005,66082390,66091307,66720612,66817466,66977507,67040246,67179676,67234116,67261576,67349792,67394838,67476159,67684571,67808387,68125346,68151016,68178107,68464182,68707571,68763885,68788547,68860693,69131267,69511571,69540352,69809771,69986853,70106171,70204571,70224136,70224227,70904186,70907147,70965227,71273771,71391676,71466997,71827787,71973429,71994789,72212084,72224771,72250866,72312205,72337547,72506171,72522340,72692771,72732925,72738746,72761250,72814417,72897107,72952667,73058830,73068412,73082027,73119837,73137347,73343340,73348144,73486876,73504307,73795571,73873365,74190468,74264507,74692571,74721661,75291107,75326173,75574365,75669273,75742571,75768516,75779710,75897587,75914771,76017707,76130056,76662947,76669893,76780547,76830827,76903586,76954009,77013736,77082938,77180771,77564253,77612000,77756171,77798906,77821307,77999771,78232896,78385787,78545267,78577067,78640571,78705606,78798256,78848110,78877571,79002153,79046306,79050227,79073416,79298868,79429300,79439027,79516187,79755938,79758118,80231950,80316201,80444613,80471267,80612656,80619947,80649587,80670885,80782571,80914907,81221171,81235667,81308027,81372421,81519938,81523907,81695546,81795676,82006571,82090787,82208092,82410947,82493771,82516662,82548827,82713227,82903571,83095226,83239571,83517947,83557427,83701571,83831771,84001885,84113540,84166547,84217571,84658571,84686230,84708347,84782771,84893867,84940936,85106217,85186478,85211171,85497052,85646313,85739605,85759307,85817867,85866938,85880509,86027027,86048944,86504987,86538587,86546614,86640453,86716571,86774646,86837747,86870627,86947067,87026808,87047425,87098771,87141827,87279510,87313500,87396596,87543292,87669227,87670596,87688941,87792827,87833771,87925427,87976067,88012008,88359772,88577771,88635347,88648038,88683107,88957593,89085587,89267747,89276771,89279738,89402267,89411171,89639867,89726387,89846171,89922347,89981147,90056171,90097571,90413627,90689238,90853667,90935652,90987227,90994571,91074827,91204067,91481987,91622771,91758212,91792187,91801538,91811387,91968587,91980947,92162507,92273771,92353907,92393387,92468546,92552771,92976467,92981171,93078107,93098144,93112456,93114107,93134400,93184571,93223307,93311171,93331571,93371771,93407267,93415067,93453587,93564347,93582107,93596171,93630266,93634187,93638812,93697150,93745571,93764267,93779627,93806771,93809747,93850571,93853427,93892571,93932771,93973667,94017227,94042876,94051547,94055987,94077707,94170827,94219667,94228571,94257467,94274771,94275947,94297787,94306571,94314707,94324547,94358987,94360571,94361171,94446652,94617732,94947073,95277626,95315160,95558553,95614525,95769026,95771780,96058876,96278340,96805062,96910586,97905159,97951574,98529146,99013509,99274965,99343360,99669532,...,687457041198751005820915952529253567468840629577682368410793818824376288855718193822121607006248270236867952283654891065491936994684047906079890771306314966183870067017238140384236386346504044892700333571098219746390770443943551979817265014063565222335455162407828671986880453103425998067113367810777414327882106925404834096099114573142673179643661083166163066590262763870788435246497047314894290386349438273722555390272282095324642145566496939492368160186976344242497768174924334815166438243975682417911528403341773733118892268864106170529518217983748047572932278940490312872894347478580834517376299232353085457242639250403255586983872970735216015548018724699674463700372180890288739214096245385752795884032004099327617239158553240634668285582095041838755401322429920387602457218336787872057447189035426277993973836219243949976444008137496435244811019466017052226865389234104220661072913096678964548007216855800428845846696817393135295166835036272525717239932283954380870740593577536710708609365389086914028482463328515124695867654055318269321719941374298770499059972727959951316107903791653512743467517190620870324540670486953470070145770172368828048734543799720816959324162987649657982355770983805233412763064864144730977437204277203524982087004857624193872266155576379535513381240320449920932098506601413013050561397595931896303997128207096147355465541128405812983035221656602978574314327233879715455041971974261285398532638725762307033438971755489274321363597703856469741798908810502760291723311490185484971996625956054977248588457309572961259229601325556243854432947685980291313661297305499514421550441171871855451758002115046050465433476155340670397096180363953006436779272820395055614272367570490338495527650440381400907623750163963102980202442057705017167486992394905867927945560859083754122858108712582598969043286724213015481367130399351511692571946767859412382096278295370641854329010705521941317099077089085978033766193997138001169702693030596900157537482250039341573217427303333092525502908966648804616805151393631467434507257690634891111009814440320509732431748474048184289782766243995594423161223792041591427802623582229261009395191467752095103459039284667123608418492728068389733102089350071409428114072479540201365873613360138648948676122809996159713976540145056924391560107586121169977232485197947928499821614902309498441012488823878817651867137770726350123663886917233424528589396580485634081083064164282120840396301666024771954495440794297031942885179372872710889333886762047684859841969050205730425850990874765202965304218272360449106092389662573332066887341729243303608729329134796760949160376564084463351601723039545308375132103231819209141245663921136103926856147203032330555648810279356864571174042641747557694045397477606616314614283696652140648414464638409180294966600647157761550497238779850517862933474159053787736372849927378996345282291875749421335753044055549690581074311442276764716430576426570170451273168765926453088442811477202668164596471246618835386940323210180437113948289995663124537812338809943318260126816004518454454910774689537149893316721351921}
19429  32133430810129119885299760998840239053899360754701245285612286703717591: {19429,38854,155384,174807,291315,310736,349578,679595,815514,970850,1165020,1242688,1338807,1398024,1572777,2580599,2732439,3080307,3279107,3586595,3686570,4166915,4207847,4303914,4423884,4617914,5000298,5549258,5562347,5833079,6011210,6201399,6597020,6610967,7000151,7213452,7308899,7872746,7888067,7916424,7927779,7946210,8332970,8472119,8905977,9321299,9391052,9535452,9648759,9999564,10213787,10678931,10829507,11123546,11246780,11414231,11595818,12044459,12368906,12526586,12747434,13496136,13619219,13928999,14125384,14551115,15119607,15124595,15160634,15183153,15273419,15459699,15774506,15890780,15891057,16827916,17206370,17461338,18149514,18210620,18326858,18557915,18917925,19068936,19109666,19623692,19861239,19898570,20078716,20101739,20179120,20198307,20269715,20425466,20505098,20647644,20651618,20860307,21355658,21452553,21819170,21852744,21974519,22216179,22269498,22410465,22415996,22701510,23115515,23151491,23310539,23878284,23904496,24039880,24214944,24323658,24361259,24371234,24584337,25711847,25964219,26183004,26561559,26679125,26858819,26892558,27044865,27084515,27226839,27241812,27317066,27625898,27738618,27994828,28374647,28683880,28716770,28847856,28886259,31242172,31392170,31484488,31530099,31846139,32002487,32014950,32093159,32161595,32269365,32358347,32453838,32460107,32501418,33175479,33276145,33300770,33810059,34149280,34420656,34460124,34948892,35302058,35376026,35420049,35530115,36731210,36776307,37053971,37320179,37564019,37650347,37670604,37914359,38079219,38215388,38300867,38316616,38404407,38417940,38593914,38723238,39024380,39307619,39931374,39960924,39972371,40153288,40535210,40979136,41005964,41226746,41789579,42070391,42166725,42203939,42636138,43078379,43106193,44059907,44077452,44579447,44764499,44977840,45172449,45183459,45453386,45542099,45847370,46101528,46226210,46373704,46595339,46650184,46783479,46829256,46829265,47119499,47312231,47537350,48642252,49219859,49332279,49951216,50096008,50167619,50537180,50600070,51687164,51864219,52170417,52180619,52481457,52682913,52871368,53273531,53338979,53776725,53786210,53893466,53973408,54163370,54388407,54434219,55016844,55254071,55471452,55658039,55749125,55957107,55995947,56195118,56358009,56706338,57044820,57361840,58038107,58105307,58322627,58453096,58853879,58931068,59173787,59291915,59297939,59480289,59632139,60320739,60644616,60720084,60790785,60847808,61446119,61596599,62477896,62477925,62541851,63057539,63141578,63157226,63232019,64179626,64281165,64532070,64543452,64843504,64996044,64997579,65177531,65255907,65336858,65404631,65759733,66249179,66307106,66520586,66564770,66613799,66643120,66898950,67313570,67387019,67755976,67910500,68225193,68453784,68502515,68566259,68566576,68834208,68919539,68948474,69189239,69493091,69495767,69508139,69528819,69745751,69832407,70287633,70536074,70720826,70733267,70982459,71044599,71150298,71358880,71529506,71914259,72636791,72948942,73205891,73336595,73510379,73573665,74059959,74323319,74547304,74679419,74973510,75292826,75755306,76148457,76225473,76908887,77010507,77137398,77438484,77649879,77763170,78243287,78477866,78478576,78883187,79419964,79877724,79971744,79994210,80025879,80278740,80454419,80776284,81460876,81473399,81492600,81798807,81858515,82203018,82736279,82987031,83295146,83400765,83456531,83585099,83865717,83974595,84021218,84042645,84076970,84187240,84291371,85188770,85286507,85413194,85521491,85630656,86020259,86488599,86925440,87361779,87780170,87910439,88003914,88182587,88288398,88319217,88326539,88519658,88911131,88960816,89239595,89645488,89773634,89859784,89968212,90258339,90265105,90601847,90652925,90933299,91285576,91335515,91448138,91506129,91649591,91679175,91685180,91858595,92656634,92738085,92872619,92953691,93315804,93647507,93795299,94342499,94710645,95162570,95964572,95993052,96267170,96334488,97015000,97149479,97405239,97493116,97791120,97829651,98153447,98230218,98332058,98389607,98497820,98546711,98735579,98841770,98875706,98920624,99123585,99286625,99407147,99558887,99673058,...,916609388265001341094554603372338089958454172770243157881058425099168385140957591762828809341664360315823936378206521420655915992912063874773187695075086621578493422689650853845648515128672059856933778094797626328521027258591402639756353352084753629780606883210438229315840604137901330756151157081036552437176142567206445461465486097523564239524881444221550755453683685161051246995329396419859053848465917698296740520363042793766189527421995919323157546915968458989997024233232446420221917658634243223882037871122364977491856358485474894039357623978330730097243038587320417163859129971441112689835065643137447276323519000537674115978497294313621354064024966266232618267162907853718318952128327181003727845376005465770156318878070987512891047442793389118340535096573227183469942957782383829409929585380568370658631781625658599968592010849995246993081359288022736302487185645472294214763884128905286064009622474400571794462262423190847060222446715030034289653243045272507827654124770048947611479153852115885371309951104686832927823538740424359095626588499065027332079963637279935088143871722204683657956689587494493766054227315937960093527693563158437398312725066294422612432217316866210643141027978406977883684086485526307969916272369604699976116006476832258496354874101839380684508320427266561242798008801884017400748530127909195071996170942794863140620721504541083977380295542137304765752436311839620606722629299015047198043518301016409377918629007319032428484796938475292989065211747337013722297748653580646629328834608073302998117943079430615012306135100741658472577263581307055084881729740666019228733921562495807269010669486728067287244634873787560529461573818604008582372363760526740819029823427320451327370200587175201210165000218617470640269922743606689556649323193207823903927414478778338830477478283443465292057715632284020641822840532468682256762595690479216509461704393827522472438680940695921756132102785447970711688258662850668226270257374129200210049976333385788764289903071110790034003878622198406155740201858175289912676343587513188148013085920427346309908997965397579053043688325327459230881631722722121903736831442972348012526921957002793471278719046222831477891323637424519644136119133428545904152096639386935154498151146851531931568163746661546285302053526742565855413476781494893302976646930597237999762153203079331254683318431838423535822850360968466831551849222977899371452528773980845441444085552376161120528402221366362605993921059062709257180239163830281185778515682730246479789292066940973901134654499686937287072291029813932141456519550097776089183122305657738144972438846395681265547168752112617802135630719393744500176137642425612188327551894848138569141529604043107407531747039142486094898723522330076925393863303475488419485711595536187531219286184545573726622134196210348733996318373134023817244632212071716981830466569838661793709722500999228447670725407399587441432415256369019621907435235426893935030891687901937451257081969603557552795294995491780515920430946907249485264386660884166050416451746591091013502421339357939273214366252716199857755628469228}
19430  32259911612243205305814697622426658513566292450271620754660179250608969: {58281,135961,194230,233076,252421,271894,388420,427174,466104,524367,833641,1087352,1223271,1434934,1456275,1553360,1589734,1747530,1785076,1821814,1864032,1875301,2097036,3025861,3140521,3484069,3643252,3712741,3826969,4055209,4107076,4211542,4283161,4902454,5362342,5529855,5738552,5898512,6455871,6635826,6659269,6667064,6891142,6926871,7220329,7348534,7500447,7577014,8002789,8246275,8268532,8323887,8670661,9016815,9617936,9895530,10383094,10555232,10570372,10768489,10820178,11738815,11740294,11809119,11874636,11919315,12080041,12359711,12499455,12623461,12713936,12865012,13242214,13317142,13332752,13691542,13812649,14027929,14058475,14086578,14303178,14350309,14999346,15110614,15929542,16270981,16685319,16800361,16870170,17043142,17327941,17393727,17656730,17994848,18273049,18377701,18553359,18789879,19004101,19121151,19259542,19316329,19524121,19863475,20159476,20244204,20455621,20558761,20612932,20661829,20916434,21034895,21188076,21461542,21893029,22097221,22402969,22708069,22740951,22763275,23281784,23518501,23619481,23661759,23721814,23836170,24084934,24199352,24529615,24925669,25098395,25223900,25241874,25425248,25809555,26120581,26192007,26219689,26417689,26481652,26543542,26931076,27191254,27224271,27315930,27490287,27530192,27548927,27697669,27991321,28019995,28186729,28267894,28603404,28664499,29136992,29435538,29621572,29643109,29692664,29847855,29880620,30028741,30049850,30118074,30196774,30268680,30509161,30638199,30757647,30892201,30971466,30977427,31837712,32033487,32223769,32286592,32431544,32695909,32728755,32779116,32891734,32978329,33404247,33527039,33597094,33623994,33737974,33821701,34052265,34659241,34844569,34910672,34993535,35003014,35029609,35134127,35306629,35415412,35674981,35703574,35817426,35843494,35854850,35856744,36053254,36059820,36225349,36302452,36322416,36485487,36556851,36590821,36864169,36955141,36984824,37934614,38221189,38463808,38490649,38515012,38559142,38974774,39052715,39274506,39295141,39355610,39873334,39887287,40338837,40534981,40576991,40623001,40710949,40818911,40862718,40906774,40975599,41411941,41438847,41607927,41847721,41992242,42040132,42368281,42602027,42686600,42757894,43025820,43058329,43075155,43271784,43335224,43686115,43707314,43834007,44233972,44325574,44733142,44763289,44932201,45004534,45016549,45604969,45749542,45894208,45946832,46262447,46425142,46522501,46863258,47031814,47088255,47166454,47226732,47349061,47368294,47769235,47895770,48022425,48656581,48680757,48752127,48780475,49035076,49378774,49544809,49845814,49945669,49951155,50105509,50185321,50191610,50227472,50772292,51146459,51205876,51223920,51257455,51452521,51458552,51630984,51688069,51690186,51772342,52037014,52169254,52423338,52674479,52829494,52953087,53064039,53241832,53281232,53422342,53472409,53751142,53778841,54007909,54160261,54638848,54668159,55096815,55218661,55698851,55891609,55966021,56114629,56222300,56262949,56505906,56632489,56738066,56848184,57073561,57082054,57146821,57323082,57474924,57512041,57626910,57730294,57890871,57967130,58084857,58092649,58164901,58247734,58312730,58536570,58769936,59026309,59215174,59286479,59665561,59897061,59941386,59947801,59995754,60229932,60243142,60244612,60438949,60787609,60802815,60947494,61468704,61508946,61754281,61777414,61840119,62159542,62368261,62377972,62439008,62439020,62620010,62841769,62976409,63171475,63445381,63492454,63512089,63954207,64306969,64438441,64440214,64608955,64856336,64944214,65228891,65479849,65673061,65776372,65886454,66089210,66116178,66262342,66629401,67007401,67257961,67466760,67573414,67817509,68000911,68180079,68195254,68248681,68668754,68737129,68771055,68858521,69063142,69152292,69339315,69560556,69619414,69975276,70051174,70233829,70243884,70543654,70912342,71306025,71685529,71702300,71831542,71856709,71964544,72083941,72095738,72140569,72253609,72366361,72381334,72517876,72963378,73066370,73112374,73147561,73355792,73659142,73663835,73805929,73901734,73961936,74077189,74292901,74609476,74720869,74926824,75091561,75144012,75301801,75333947,75805770,75900105,75925609,76028569,76059760,76433494,76841881,76912534,76961951,76972342,77092261,77530746,77636761,77783749,77840714,77867542,78097370,78269029,78439802,78556741,78604441,78627311,78652069,79114774,79307052,79357849,79874879,80228581,80296054,80427652,80679315,80840199,80859488,80960112,81054380,81177814,81245055,81247849,81380819,81464389,81550501,81705142,81764521,82103209,82231174,82354201,82520089,82525266,82930534,82970341,83105014,83172121,83207178,83303900,83349079,83372101,83530789,83570281,83727529,84292677,84534181,84694970,84721561,84888125,85059507,85127461,85236649,85345189,85488901,85567230,85708220,85762342,85843141,86042760,86049142,86052229,86057936,86121349,86278294,86361001,86555546,86661392,86993701,87007876,87220249,87316261,87679644,87693829,87939781,87988774,88151209,88396602,88649989,88707301,88989541,89141426,89198600,89291689,89372581,89426149,89505961,89869849,89920681,89966134,90268441,90303142,90316969,90484549,90531781,90945647,90966924,91010329,91080126,91143142,91184281,91205701,91271712,91311721,91415941,91776229,91778944,91823207,92021929,92058649,92184901,92201974,92290309,92410009,92426821,92479654,92515346,92705092,92763241,92955589,92969881,92998249,93033814,93054121,93109876,93135769,93184130,93227749,93303781,93365161,93389209,93505129,93549481,93655321,93716844,93763429,93827689,93871429,94013989,94035481,94069861,94102441,94224409,94238341,94259594,94276249,94294789,94317721,94353001,94368229,94370821,94372009,94376041,94376869,94378309,94380901,94712367,94726132,94735839,94796374,94867064,95209027,96107542,96269439,96798105,96815178,97265256,97494066,98005287,98098220,98594854,98746612,98863174,99274955,99460659,99780879,99847155,99964680,...,1374914082397502011641831905058507134937681259155364736821587637648752577711436387644243214012496540473735904567309782130983873989368095812159781542612629932367740134034476280768472772693008089785400667142196439492781540887887103959634530028127130444670910324815657343973760906206851996134226735621554828655764213850809668192198229146285346359287322166332326133180525527741576870492994094629788580772698876547445110780544564190649284291132993878984736320373952688484995536349848669630332876487951364835823056806683547466237784537728212341059036435967496095145864557880980625745788694957161669034752598464706170914485278500806511173967745941470432031096037449399348927400744361780577478428192490771505591768064008198655234478317106481269336571164190083677510802644859840775204914436673575744114894378070852555987947672438487899952888016274992870489622038932034104453730778468208441322145826193357929096014433711600857691693393634786270590333670072545051434479864567908761741481187155073421417218730778173828056964926657030249391735308110636538643439882748597540998119945455919902632215807583307025486935034381241740649081340973906940140291540344737656097469087599441633918648325975299315964711541967610466825526129728289461954874408554407049964174009715248387744532311152759071026762480640899841864197013202826026101122795191863792607994256414192294710931082256811625966070443313205957148628654467759430910083943948522570797065277451524614066877943510978548642727195407712939483597817621005520583446622980370969943993251912109954497176914619145922518459202651112487708865895371960582627322594610999028843100882343743710903516004230092100930866952310681340794192360727906012873558545640790111228544735140980676991055300880762801815247500327926205960404884115410034334973984789811735855891121718167508245716217425165197938086573448426030962734260798703023385143893535718824764192556590741283708658021411043882634198154178171956067532387994276002339405386061193800315074964500078683146434854606666185051005817933297609233610302787262934869014515381269782222019628880641019464863496948096368579565532487991188846322447584083182855605247164458522018790382935504190206918078569334247216836985456136779466204178700142818856228144959080402731747226720277297897352245619992319427953080290113848783120215172242339954464970395895856999643229804618996882024977647757635303734275541452700247327773834466849057178793160971268162166128328564241680792603332049543908990881588594063885770358745745421778667773524095369719683938100411460851701981749530405930608436544720898212184779325146664133774683458486607217458658269593521898320753128168926703203446079090616750264206463638418282491327842272207853712294406064661111297620558713729142348085283495115388090794955213232629228567393304281296828929276818360589933201294315523100994477559701035725866948318107575472745699854757992690564583751498842671506088111099381162148622884553529432861152853140340902546337531852906176885622954405336329192942493237670773880646420360874227896579991326249075624677619886636520253632009036908909821549379074299786633442703842}
19431  32386886709120138479485832465540702669590802542975524769816511990205017: {38858,77708,291345,310768,349614,407841,485525,582630,621472,640761,699156,951433,1359190,1631028,1941700,2152401,2231345,2330040,2384601,2485376,2621295,2677614,2732721,2796048,3145554,3628361,4554065,5021233,5133845,5161198,5464878,5833681,6160614,6185729,6317313,6558214,7173190,7353681,7373140,7581881,7812961,8043513,8333830,8415694,8607828,8739929,8847768,9235828,9322261,9953739,10000596,10015841,10335665,10336713,11022801,11098516,11124694,11365521,11415409,11666158,12022420,12402798,12925793,13194040,13212965,13221934,13502981,14000302,14426904,14617798,14843295,15574641,15745492,15776134,15832848,15855558,15892420,16081265,16230267,16292693,16665940,16944238,17610441,17811954,18642598,18782104,19070904,19297518,19863321,19975713,19999128,20371561,20427574,20537313,21129867,21174433,21357862,21454767,21463409,21659014,22247092,22493560,22499019,22665921,22828462,23191636,23894313,24088918,24737812,25053172,25199345,25305255,25494868,25564713,25766165,25981081,26485095,26992272,27238438,27360853,27795449,27857998,28250768,28377601,28889313,29018833,29102230,30239214,30249190,30321268,30366306,30546838,30919398,31374651,31529875,31549012,31781560,31782114,32192313,32361721,33102065,33655832,33663845,34412740,34922676,35582721,35754255,36127401,36299028,36421240,36653716,37026965,37077221,37115830,37350775,37787713,37821121,37835850,37862811,37918321,38137872,38219332,39247384,39545993,39722478,39797140,39815313,40154641,40157432,40203478,40358240,40396614,40539430,40786881,40850932,40973895,41010196,41295288,41303236,41720614,42401841,42711316,42905106,43634581,43638340,43705488,43949038,44153307,44269265,44432358,44538996,44820930,44831992,45026233,45074775,45177111,45264661,45295161,45378065,45403020,46231030,46302982,46457199,46500833,46586603,46621078,47499761,47756568,47808992,48079760,48143765,48429888,48647316,48722518,48742468,49168674,49337601,49719553,49742161,50395641,50426849,50435991,50606961,50899993,51423694,51928438,52366008,52504521,52550165,52684801,53123118,53358250,53555361,53717638,53726139,53765241,53782275,53785116,54079881,54089730,54169030,54173801,54453678,54483624,54634132,55251796,55292465,55421201,55477236,55989656,56237609,56532629,56749294,56901921,57367760,57433540,57695712,57772518,57838713,58462161,58911759,59033415,59158649,59614153,59810001,60410513,61293845,61294077,61360161,62484344,62784340,62968976,62988363,63060198,63210053,63465365,63692278,64004974,64007345,64029900,64136841,64186318,64323190,64538730,64716694,64907676,64920214,65002836,65560971,65592673,66000593,66135409,66350958,66488361,66552290,66601540,67099713,67506801,67620118,68298560,68624313,68841312,68920248,68926741,69637713,69897784,70277875,70294887,70429349,70476073,70547721,70604116,70749681,70752052,70840098,71052441,71060230,71843655,71848789,72644353,72801641,73462420,73552614,74068161,74107942,74640358,74768721,75128038,75287415,75293201,75300694,75305765,75341208,75828718,75877801,75975941,76158438,76430776,76601734,76633232,76808814,76835880,77187828,77446476,77535279,77658513,77972465,78048760,78048775,78055521,78253881,78615238,78635007,79244241,79862748,79875749,79921848,79944742,80133513,80202881,80306576,80626713,80851889,81070420,81433649,81768521,81958272,82011928,82131361,82220465,82453492,83008681,83465233,83579158,83593861,83696933,84140782,84333450,84407878,84758859,85107099,85272276,85623081,85984623,86156758,86212386,86440365,86516053,86595441,86950695,87045041,87371601,87469095,87575609,87804855,88119814,88154904,88822761,89158894,89528998,89627875,89912079,89955680,89993631,90104569,90344898,90364713,90366918,90535633,90647345,90892321,90906772,90986213,91084198,91421241,91694740,92203056,92263419,92452420,92666121,92747408,93190678,93239313,93261845,93300368,93566958,93658512,93658530,93930015,94238998,94458233,94624462,95074700,95238681,95241701,95903521,96141089,96660321,97204561,97235849,97284504,97416321,98439718,98557009,98664558,98829681,99133815,99174267,99393513,99902432,...,2062371123596253017462747857587760702406521888733047105232381456473128866567154581466364821018744810710603856850964673196475810984052143718239672313918944898551610201051714421152709159039512134678101000713294659239172311331830655939451795042190695667006365487223486015960641359310277994201340103432332242983646320776214502288297343719428019538930983249498489199770788291612365305739491141944682871159048314821167666170816846285973926436699490818477104480560929032727493304524773004445499314731927047253734585210025321199356676806592318511588554653951244142718796836821470938618683042435742503552128897697059256371727917751209766760951618912205648046644056174099023391101116542670866217642288736157258387652096012297982851717475659721904004856746285125516266203967289761162807371655010363616172341567106278833981921508657731849929332024412489305734433058398051156680596167702312661983218739290036893644021650567401286537540090452179405885500505108817577151719796851863142612221780732610132125828096167260742085447389985545374087602962165954807965159824122896311497179918183879853948323711374960538230402551571862610973622011460860410210437310517106484146203631399162450877972488962948973947067312951415700238289194592434192932311612831610574946261014572872581616798466729138606540143720961349762796295519804239039151684192787795688911991384621288442066396623385217438949105664969808935722942981701639146365125915922783856195597916177286921100316915266467822964090793111569409225396726431508280875169934470556454915989877868164931745765371928718883777688803976668731563298843057940873940983891916498543264651323515615566355274006345138151396300428466022011191288541091859019310337818461185166842817102711471015486582951321144202722871250491889308940607326173115051502460977184717603783836682577251262368574326137747796907129860172639046444101391198054535077715840303578237146288834886111925562987032116565823951297231267257934101298581991414003509108079091790700472612446750118024719652281909999277576508726899946413850415454180894402303521773071904673333029443320961529197295245422144552869348298731986783269483671376124774283407870746687783028185574403256285310377117854001370825255478184205169199306268050214228284342217438620604097620840080415946846028368429988479141929620435170773174680322758363509931697455593843785499464844706928495323037466471636452955601413312179050370991660751700273585768189741456902243249192492846362521188904998074315863486322382891095828655538118618132668001660286143054579525907150617191277552972624295608895912654817081347318277168987719996200662025187729910826187987404390282847481129692253390054805169118635925125396309695457627423736991763408311780568441609096991666946430838070593713522127925242673082136192432819848943842851089956421945243393915227540884899801941473284651491716339551553588800422477161363209118549782136989035846875627248264007259132166649071743222934326830294149291729279710511353819506297779359265328434431608004493789413739856506160820969630541311341844869986989373613437016429829954780380448013555363364732324068611449679950164055763}
19432  32514358018714056123490327735251267547685438970469326045029239500356900: {58287,97135,116562,213631,271922,388460,466152,504842,524421,543788,562687,776840,795031,854348,873945,932208,1027087,1048734,1143007,1667282,2038785,2174704,2183047,2427125,2446542,2528431,2869868,2912550,3106720,3179468,3331807,3495060,3570152,3643628,3728064,3750602,4016421,4194072,4718331,4814431,5154847,5607727,5946631,6051722,6281042,6734887,6847207,6968138,7286504,7425482,7631431,7653938,7741797,7966447,8110418,8189431,8197317,8214152,8423084,8566322,9216425,9240921,9804908,9837321,9852631,10623247,10724684,10759785,11059710,11171527,11477104,11544785,11797024,12371407,12500745,12623541,12805567,12911742,13130431,13271652,13318538,13334128,13454647,13782284,13853742,13873145,14208631,14440658,14697068,15000894,15028025,15154028,15599527,16005578,16434341,16492550,16537064,16647774,16687041,16872631,17189287,17341322,17499237,17925631,18033630,18604197,18762847,18971431,19235872,19491631,19681865,19791060,19832901,19865525,20010031,20216887,20766188,20832425,21000453,21110464,21140744,21246847,21536978,21554431,21640356,21926697,23285167,23386327,23477630,23480588,23588431,23618238,23664201,23749272,23783337,23838630,24160082,24719422,24795007,24998910,25246922,25416357,25427872,25730024,26090431,26484428,26634284,26665504,26717931,26782927,27078631,27275407,27383084,27625298,27808865,27963897,28055858,28116950,28173156,28606356,28700618,28946277,28989545,29448853,29998692,30221228,30641361,30922265,31316465,31859084,31868585,32036793,32101207,32488521,32541962,33370638,33513847,33600722,33740340,34074367,34086284,34242693,34341461,34655882,34787454,35137753,35313460,35464327,35989696,36107431,36133377,36381967,36546098,36564631,36755402,37020031,37106718,37579758,37901585,38008202,38242302,38519084,38554927,38632658,39002407,39048242,39227993,39436265,39537007,39726950,39891967,39980527,40318952,40488408,40857657,40862167,40911242,41037631,41117522,41225864,41323658,41786997,41832868,42069790,42376152,42776431,42923084,42948727,43015925,43034767,43653345,43786058,43891207,44061631,44194442,44579909,44805938,45358821,45373785,45416138,45481902,45526550,45549459,45582487,45750031,45817145,45820257,46379097,46563568,46583431,47037002,47139521,47238962,47323518,47443628,47656087,47672340,47673171,47774165,47983687,48169868,48398704,48472927,48990949,49059230,49282567,49443631,49746425,49851338,50196790,50403967,50447800,50483748,50850496,51063665,51262745,51619110,51629045,51981487,52059607,52241162,52384014,52439378,52835378,52963304,53087084,53389145,53606887,53862152,53954021,53989207,54141631,54382508,54448542,54547925,54631860,54673801,54980574,55060384,55097854,55275631,55395338,55673745,55982642,56039990,56373458,56535788,56753775,57206808,57276007,57328998,57713407,57858631,58220431,58273984,58871076,58938631,59243144,59286218,59385328,59437087,59583717,59695710,59761240,60002431,60057482,60099700,60143047,60236148,60305217,60353431,60393548,60537360,60594921,60809145,60928085,61018322,61160561,61276398,61515294,61602127,61631273,61784402,61942932,61944847,61954854,62251657,62285767,62557207,62580921,63230767,63675424,64066974,64357659,64447538,64573184,64621807,64752631,64863088,64883167,65391818,65457510,65558232,65595967,65783468,65923557,65956658,66648537,66806647,66808494,66876929,66995431,67054078,67120927,67194188,67231395,67247988,67475948,67643402,68007929,68104530,68292665,68726167,68968807,69029287,69064745,69150031,69318482,69346545,69454473,69570367,69689138,69821344,69931617,69987070,70006028,70059218,70164727,70223767,70268254,70613258,70830824,70926631,71100727,71349962,71407148,71619127,71634852,71686988,71709700,71713488,71760437,71791925,72106508,72119640,72244807,72357631,72450698,72604904,72644832,72690629,72970974,73083777,73113702,73181642,73728338,73753011,73906927,73910282,73969648,74660407,74713687,75347431,75608431,75764167,75869228,76442378,76634431,76785847,76886431,76927616,76981298,77030024,77118284,77135541,77236207,77385031,77876431,77892657,77949548,78022447,78105430,78360631,78480425,78549012,78590282,78600031,78711220,78932167,79167247,79678087,79684677,79746668,79774574,80037375,80364713,80450431,80576457,80673631,80677674,81069962,81134595,81153982,81246002,81253545,81332431,81421898,81637822,81680517,81725436,81813548,81847807,81951198,82059487,82518847,82806631,82823882,82877694,82888207,82928887,83215854,83251925,83331727,83357681,83695442,83727367,83883607,83984484,84000031,84080264,84192631,84736562,85123941,85204054,85237927,85373200,85418647,85515788,85668631,85774687,85845031,86051640,86116658,86150310,86261047,86543568,86658777,86670448,86732921,86799607,87126847,87372230,87414628,87572887,87604207,87668014,87821431,88035127,88215487,88255145,88440065,88467944,88481167,88651148,88712431,89270431,89466284,89485567,89526578,89591407,89617687,89864402,90009068,90033098,90103327,90128167,90452537,90929887,90955033,91040767,91209938,91278367,91486807,91499084,91588327,91727431,91788416,91824631,91828025,91893664,92013631,92159647,92318407,92524894,92570047,92744287,92850284,93024727,93045002,93094207,93154853,93354127,93366367,93450031,93596047,93617431,93726516,93787567,93842647,93886567,93945031,94063628,94092631,94105807,94143607,94155631,94173127,94176510,94211431,94221727,94260031,94281631,94332908,94350031,94393087,94399927,94453464,94590297,94698122,94736588,95218853,95538417,95538470,95791540,96007461,96044850,96279477,96484785,96808095,97075041,97313162,97361514,97380321,97504254,97560950,98070152,98503457,98757548,99089618,99526437,99691628,99828435,99891338,99902310,...,2749828164795004023283663810117014269875362518310729473643175275297505155422872775288486428024993080947471809134619564261967747978736191624319563085225259864735480268068952561536945545386016179570801334284392878985563081775774207919269060056254260889341820649631314687947521812413703992268453471243109657311528427701619336384396458292570692718574644332664652266361051055483153740985988189259577161545397753094890221561089128381298568582265987757969472640747905376969991072699697339260665752975902729671646113613367094932475569075456424682118072871934992190291729115761961251491577389914323338069505196929412341828970557001613022347935491882940864062192074898798697854801488723561154956856384981543011183536128016397310468956634212962538673142328380167355021605289719681550409828873347151488229788756141705111975895344876975799905776032549985740979244077864068208907461556936416882644291652386715858192028867423201715383386787269572541180667340145090102868959729135817523482962374310146842834437461556347656113929853314060498783470616221273077286879765497195081996239890911839805264431615166614050973870068762483481298162681947813880280583080689475312194938175198883267837296651950598631929423083935220933651052259456578923909748817108814099928348019430496775489064622305518142053524961281799683728394026405652052202245590383727585215988512828384589421862164513623251932140886626411914297257308935518861820167887897045141594130554903049228133755887021957097285454390815425878967195635242011041166893245960741939887986503824219908994353829238291845036918405302224975417731790743921165254645189221998057686201764687487421807032008460184201861733904621362681588384721455812025747117091281580222457089470281961353982110601761525603630495000655852411920809768230820068669947969579623471711782243436335016491432434850330395876173146896852061925468521597406046770287787071437649528385113181482567417316042822087765268396308356343912135064775988552004678810772122387600630149929000157366292869709213332370102011635866595218467220605574525869738029030762539564444039257761282038929726993896192737159131064975982377692644895168166365711210494328917044037580765871008380413836157138668494433673970912273558932408357400285637712456289918160805463494453440554595794704491239984638855906160580227697566240430344484679908929940791791713999286459609237993764049955295515270607468551082905400494655547668933698114357586321942536324332256657128483361585206664099087817981763177188127771540717491490843557335547048190739439367876200822921703403963499060811861216873089441796424369558650293328267549366916973214434917316539187043796641506256337853406406892158181233500528412927276836564982655684544415707424588812129322222595241117427458284696170566990230776181589910426465258457134786608562593657858553636721179866402588631046201988955119402071451733896636215150945491399709515985381129167502997685343012176222198762324297245769107058865722305706280681805092675063705812353771245908810672658385884986475341547761292840721748455793159982652498151249355239773273040507264018073817819643098758148599573266885407684}
19433  32642327466367969554627178317831765093778626790549906957261617475652554: {19433,77716,155416,174843,407883,485575,582690,621536,679735,699228,757263,815682,971050,1067935,1165260,1242944,1281522,1398312,1573101,1902866,2500923,2718380,3123883,3262056,3587335,3669813,3883400,3974335,4055227,4288063,4304802,4368825,4462690,4554535,4660080,4769202,4970752,5242590,5355228,5465442,5592096,5625903,6291108,6375691,6612331,7187383,7256722,7310407,8473867,8740831,9077583,9108130,9166267,9421563,9557791,10042466,10255723,10267690,10322396,10329007,10452207,10528855,10929756,11138223,11480907,11667362,11836903,12165627,12189391,12256135,12321228,12371458,12634626,12849483,12927127,13116428,13405855,13817227,14161663,14346380,14469931,14707362,14746280,15091567,15163762,15625922,16087026,16486423,16589565,16667660,16831388,17215656,17227855,17416327,17479858,17695536,18371335,18471656,18498151,18644522,18927007,18942535,19367613,19907478,19977807,20001192,20031682,20671330,20673426,20780613,21660987,21888427,22045602,22197032,22249388,22501341,22513771,22731042,22830818,23332316,24001087,24008367,24044840,24738825,24805596,24971661,25365847,25851586,25957735,26011983,26388080,26425930,26443868,27005962,27050445,27278863,28000604,28853808,29235596,29350735,29686590,31149282,31490984,31552268,31588447,31665696,31711116,31784840,31857031,32162530,32305467,32460534,32585386,32849167,33105535,33292855,33331880,33888476,34228855,34531387,35123071,35216445,35220882,35279083,35427357,35623908,35757945,36072631,36240123,36630847,37079133,37285196,37498365,37564208,37776535,37870383,38141808,38595036,39726642,39806647,39823855,39951426,39998256,40404331,40743122,40855148,41074626,41437947,41439247,41644951,42083787,42175425,42259734,42348866,42607855,42715724,42909534,42926818,43050927,43318028,44141825,44494184,44588731,44854807,44987120,44998038,45331842,45656924,46342891,46383272,46766527,47129383,47788626,48148855,48158503,48177836,48387607,48803311,48812943,49475624,49707787,50055957,50106344,50398690,50401083,50432107,50610510,50848831,50989736,51129426,51402271,51532330,51837751,51962162,51983823,52181181,52291085,52970190,53653855,53984544,54476876,54647911,54721706,54819147,55133103,55590898,55660077,55715996,56369637,56501536,56755202,57012303,57363453,57652087,57778626,57821767,57948987,58037666,58204460,58538191,58572363,58980907,59164831,59304535,59579707,59590425,59595367,60212335,60431431,60478428,60498380,60642536,60729223,60732612,60835531,61093676,61366863,61676283,61838796,61976971,61985487,62458327,62749302,63059750,63098024,63104685,63529291,63563120,63564228,64023583,64364431,64384626,64723442,65497783,65679087,65708527,66204130,66291663,66358855,66886507,67208907,67311664,67327690,67401271,67569367,67978135,68124207,68222853,68289825,68825480,69845352,69914767,70555503,70669735,70858443,70985277,71165442,71508510,72254802,72598056,72659767,72842480,73218127,73221247,73307432,73570231,73588845,73864927,74044927,74053930,74154442,74231660,74701550,74777007,75124625,75295185,75491935,75575426,75642242,75671700,75725622,75836642,75983863,76275744,76365151,76438664,76544023,76547791,77409451,77428665,78361743,78494768,78576021,78659067,79091986,79174027,79253067,79444956,79594280,79630626,80309282,80314864,80406956,80716480,80793228,80813287,81078860,81457447,81573762,81672813,81701864,81947790,82020392,82229335,82470861,82590576,82606472,82646781,83093007,83129407,83441228,83592631,83772127,83973963,83992735,84059985,84344935,84429067,84560187,84803682,84914287,85422632,85539487,85810212,85811383,85993497,86038303,87054103,87269162,87276680,87410976,87507535,87898076,87928747,87938551,87993631,88306614,88538530,88851511,88864716,88929327,89077992,89258935,89543565,89608735,89610283,89637125,89641860,89663984,90052466,90086223,90125551,90133135,90149550,90354222,90529322,90590322,90756130,90806040,91388347,91527483,91914597,92272941,92462060,92484667,92605964,92676603,92914398,92932281,93001666,93164791,93173206,93242156,93543631,93707647,94785223,94836535,94999522,95513136,95617984,96100461,96159520,96239767,96287530,96397855,96481927,96558187,96671307,96859776,97294632,97436935,97445036,97484936,97623871,97660207,98087727,98186265,98337348,98389025,98675202,98934987,99439106,99484322,99683335,99974887,...,4124742247192506034925495715175521404813043777466094210464762912946257733134309162932729642037489621421207713701929346392951621968104287436479344627837889797103220402103428842305418318079024269356202001426589318478344622663661311878903590084381391334012730974446972031921282718620555988402680206864664485967292641552429004576594687438856039077861966498996978399541576583224730611478982283889365742318096629642335332341633692571947852873398981636954208961121858065454986609049546008890998629463854094507469170420050642398713353613184637023177109307902488285437593673642941877237366084871485007104257795394118512743455835502419533521903237824411296093288112348198046782202233085341732435284577472314516775304192024595965703434951319443808009713492570251032532407934579522325614743310020727232344683134212557667963843017315463699858664048824978611468866116796102313361192335404625323966437478580073787288043301134802573075080180904358811771001010217635154303439593703726285224443561465220264251656192334521484170894779971090748175205924331909615930319648245792622994359836367759707896647422749921076460805103143725221947244022921720820420874621034212968292407262798324901755944977925897947894134625902831400476578389184868385864623225663221149892522029145745163233596933458277213080287441922699525592591039608478078303368385575591377823982769242576884132793246770434877898211329939617871445885963403278292730251831845567712391195832354573842200633830532935645928181586223138818450793452863016561750339868941112909831979755736329863491530743857437767555377607953337463126597686115881747881967783832997086529302647031231132710548012690276302792600856932044022382577082183718038620675636922370333685634205422942030973165902642288405445742500983778617881214652346230103004921954369435207567673365154502524737148652275495593814259720345278092888202782396109070155431680607156474292577669772223851125974064233131647902594462534515868202597163982828007018216158183581400945224893500236049439304563819998555153017453799892827700830908361788804607043546143809346666058886641923058394590490844289105738696597463973566538967342752249548566815741493375566056371148806512570620754235708002741650510956368410338398612536100428456568684434877241208195241680160831893692056736859976958283859240870341546349360645516727019863394911187687570998929689413856990646074932943272905911202826624358100741983321503400547171536379482913804486498384985692725042377809996148631726972644765782191657311076237236265336003320572286109159051814301234382555105945248591217791825309634162694636554337975439992401324050375459821652375974808780565694962259384506780109610338237271850250792619390915254847473983526816623561136883218193983333892861676141187427044255850485346164272384865639697887685702179912843890486787830455081769799603882946569302983432679103107177600844954322726418237099564273978071693751254496528014518264333298143486445868653660588298583458559421022707639012595558718530656868863216008987578827479713012321641939261082622683689739973978747226874032859659909560760896027110726729464648137222899359900328111526}
19434  32770796984842026724581530908795000844919727459157685182926351904607563: {97145,116574,135989,194270,213653,233124,252473,330089,427262,543844,601493,776920,833813,874035,911189,932304,1009684,1027193,1048842,1087576,1125374,1181753,1223523,1456575,1553680,1590062,1708696,1747890,1864416,1922283,1952633,2054174,2097468,2286014,2854299,3217589,3334564,3397975,3789689,4077570,4284053,4349408,4359989,4366094,4814933,4854250,4893084,5056862,5193173,5306489,5608313,5739736,5825100,5984873,6213440,6358936,6457203,6623189,6663614,6694035,6735593,6990120,7140304,7153803,7287256,7296533,7456128,7501204,7557689,7863885,8004473,8032842,8198163,8227433,8388144,8746553,9227189,9436662,9628862,9853673,9890453,10309694,10885083,11215454,11864693,11893262,12046313,12103444,12155189,12408953,12562084,12698489,12902995,12951413,13469774,13662195,13694414,13707833,13887413,13936276,14424953,14573008,14850964,14853689,15063699,15262862,15307876,15401535,15483594,15932894,16162699,16220836,16345193,16378862,16394634,16395535,16428304,16846168,16874453,17132644,17401913,17501043,17612393,17932975,18032489,18137333,18277013,18432850,18481842,18557187,18799673,18951939,19008233,19422403,19528373,19609816,19674642,19705262,20046713,20563253,20834575,21039235,21246494,21449368,21519570,21556793,21897833,22061043,22119420,22170089,22272053,22343054,22745643,22954208,23089570,23422613,23438883,23591033,23594048,23624693,23691989,24130539,24742814,24797753,25001490,25247082,25611134,25823484,26027189,26126393,26219787,26260862,26543304,26637076,26668256,26909294,27081653,27278453,27409493,27554611,27564568,27605813,27707484,27746290,27769193,27811735,27966783,28062773,28258133,28417262,28485689,28647989,28881316,28971989,29165395,29394136,29861217,30001788,30047523,30056050,30099689,30308056,30484073,30994793,31006995,31010139,31199054,31376489,31915253,32011156,32703353,32868682,32985100,33054835,33068403,33074128,33295548,33374082,33745262,34096563,34109333,34246227,34378574,34682644,34914293,34998474,35000755,35130089,35851262,36067260,36142133,36544495,36599273,37024313,37054613,37208394,37525694,37942862,37959893,38471744,38559413,38678933,38777379,38917589,38932411,38983262,39363689,39363730,39440335,39571253,39582120,39638895,39665802,39731050,40014713,40020062,40250489,40433774,40508943,40585363,40603193,40779113,41217653,41479913,41532376,41567189,41664850,42000906,42220928,42281488,42360595,42378293,42493694,42781493,43068533,43073956,43108862,43280712,43291171,43640213,43843051,43853394,44435189,44529885,44616019,44773973,44999189,45083513,45615893,45755513,46256489,46570334,46589033,46606495,46616693,46723923,46772654,46955260,46961176,47176862,47236476,47328402,47415353,47498544,47566674,47677260,47771189,48243795,48320164,48668393,48690801,48722489,48878079,49315433,49438844,49590014,49610453,49997820,50493844,50832714,50855744,51068935,51460048,51517589,51700793,51987893,52170089,52180862,52610933,52685347,52831323,52968856,53062219,53268568,53331008,53331989,53394655,53435862,53536853,53565854,53639093,53792213,53843189,54021353,54147535,54148373,54157262,54173753,54550814,54766168,54931433,55210771,55250596,55282553,55307573,55617730,55710343,55905653,55927794,56103989,56111716,56178233,56233900,56346312,56351189,56474489,57071155,57210089,57212712,57380693,57401236,57453689,57526613,57890153,57892554,57979090,58179689,58227833,58897706,59017589,59326313,59589963,59798633,59927139,59997384,60010133,60033593,60222295,60442456,60663989,60849653,61114683,61282722,61357589,61611939,61815989,61844530,61975673,62316533,62384489,62565353,62632930,63171989,63389601,63506489,63523299,63718168,63737170,63763843,63993833,64073586,64144003,64170089,64202414,64364301,64390227,64433513,64652153,64782953,64977042,65043689,65083924,65367989,65690489,65861753,66372473,66689333,66741276,66883831,67025333,67027694,67201444,67480680,67497057,67691189,67897589,67997763,68062133,68096095,68144213,68148734,68172568,68267093,68450873,68485386,68613689,68682922,68755733,68877173,68882011,69279893,69311764,69460073,69574908,69644995,69758933,70253033,70275506,70370873,70626920,70928654,70936373,70994489,71489131,71514293,71682939,71767843,71914553,71979392,72047189,72198293,72214862,72266754,72273653,72280663,72386453,72698131,72755575,72763934,72836959,72983189,73092196,73129262,73167989,73223273,73510804,73589993,74040062,74213436,74259989,74349689,74564153,74741993,74744803,75159516,75323189,75358133,75598035,75622975,75803170,75915765,76016404,76101689,76367095,76391573,76484604,76645433,76662293,76694139,76813673,76863989,76897493,77038168,77109854,77114489,77265316,77298495,77903993,77943243,78004814,78096484,78146933,78372053,78455986,78579689,78611513,78627413,78872530,79074014,79085033,79131989,79241273,79412213,79453900,79455285,79520489,79597589,79705193,79783934,79827689,79961054,80373007,80637904,80877689,80976816,80995193,81097589,81488873,81646613,81715314,81724334,81822484,82075262,82082559,82170089,82235044,82379189,82448489,82451728,82489973,82545173,82647316,82655189,83386347,83397689,83573994,83595989,83665736,83753333,83948393,84139580,84585593,84752304,85031993,85132803,85263413,85299319,85539689,85552862,85693973,85799993,85846168,85870313,85897454,85907107,86031850,86044853,86069534,86102633,86240489,86523989,86580089,86667939,86747189,86824553,86912489,86945333,87021689,87043433,87056499,87108473,87269813,87306690,87344489,87572116,87782414,88049513,88119989,88123262,88269689,88388884,88679273,88736633,89019113,89159818,89420393,89535989,89611876,89667689,89711189,89951093,89967989,90026873,90315413,90363893,90420089,90562793,90578489,90717642,90747570,90810089,90832276,90900713,90963804,91053100,91056533,91098918,91143989,91164974,91251689,91301333,91343573,91500062,91509653,91634290,91640514,91743593,91860089,91879253,91955189,91998953,92091413,92182073,92229689,92305973,92334953,92460089,92586773,92624489,92651189,92758194,92766293,92789575,92807189,92842553,93041813,93111353,93127136,93129593,93164467,93165689,93166862,93309173,93346793,93479189,93547733,93584693,93591989,93617273,93645689,93697589,93805433,93863573,93907433,93915989,93965813,94028213,94043093,94074004,94079033,94110953,94123953,94132793,94139189,94193513,94208489,94231733,94240313,94264853,94278713,94279042,94280213,94317689,94354553,94357589,94377653,94386233,94391189,94392533,94406633,94411253,94412693,94414613,94477924,94589625,94647036,94887256,94976479,95312174,95344680,95346342,95548330,95609731,95967374,96339736,96576939,96690643,96797408,96945854,97085163,97981898,98118460,98513623,98565134,98887262,99306195,99492850,99702676,...,6187113370788759052388243572763282107219565666199141315697144369419386599701463744399094463056234432131811570552894019589427432952156431154719016941756834695654830603155143263458127477118536404034303002139883977717516933995491967818355385126572087001019096461670458047881924077930833982604020310296996728950938962328643506864892031158284058616792949748495467599312364874837095917218473425834048613477144944463502998512450538857921779310098472455431313441682787098182479913574319013336497944195781141761203755630075963598070030419776955534765663961853732428156390510464412815856049127307227510656386693091177769115183753253629300282854856736616944139932168522297070173303349628012598652926866208471775162956288036893948555152426979165712014570238855376548798611901869283488422114965031090848517024701318836501945764525973195549787996073237467917203299175194153470041788503106937985949656217870110680932064951702203859612620271356538217656501515326452731455159390555589427836665342197830396377484288501782226256342169956636122262808886497864423895479472368688934491539754551639561844971134124881614691207654715587832920866034382581230631311931551319452438610894197487352633917466888846921841201938854247100714867583777302578796934838494831724838783043718617744850395400187415819620431162884049288388886559412717117455052578363387066735974153863865326199189870155652316847316994909426807168828945104917439095377747768351568586793748531860763300950745799403468892272379334708227676190179294524842625509803411669364747969633604494795237296115786156651333066411930006194689896529173822621822951675749495629793953970546846699065822019035414454188901285398066033573865623275577057931013455383555500528451308134413046459748853963432608168613751475667926821821978519345154507382931554152811351510047731753787105722978413243390721389580517917139332304173594163605233147520910734711438866504658335776688961096349697471853891693801773802303895745974242010527324237275372101417837340250354074158956845729997832729526180699839241551246362542683206910565319215714019999088329962884587591885736266433658608044896195960349808451014128374322850223612240063349084556723209768855931131353562004112475766434552615507597918804150642684853026652315861812292862520241247840538085105289965437425788861305512319524040968275090529795092366781531356498394534120785485969112399414909358866804239936537151112974982255100820757304569224370706729747577478539087563566714994222947590458967148673287485966614355854398004004980858429163738577721451851573832658917872886826687737964451244041954831506963159988601986075563189732478563962213170848542443389076760170164415507355907775376188929086372882271210975290224935341705324827290975000839292514211781140566383775728019246408577298459546831528553269869265835730181745682622654699405824419853954475149018654660766401267431484089627355649346410967107540626881744792021777396499947215229668802980490882447875187839131534061458518893338077795985303294824013481368241219569518482462908891623934025534609960968120840311049289489864341141344040666090094196972205834349039850492167289}
19435  32899768514341881582674641185833885229216906108982860037158941564871202: {38866,155432,174861,291405,310832,349686,640893,679805,815766,951629,971150,1165380,1243072,1262105,1359470,1398456,1495109,1514526,1573263,1631364,1688061,1942100,2135870,2330520,2385093,2485888,2563044,2621835,2796624,3081261,3146202,3429021,3805732,4168205,4792541,5001846,5022269,5436760,5564069,6116355,6247766,6376349,6524112,6549141,7174670,7281375,7339626,7585293,7766800,7814573,7890509,7948670,8110454,8576126,8609604,8737650,8925380,9109070,9167213,9320160,9376505,9538404,9941504,9995421,10216949,10330073,10485180,10682237,10710456,10832861,10930884,11184192,11251806,12049263,12190649,12582216,12751382,13224662,13623437,13818653,14154993,14374766,14443293,14513444,14620814,14740397,15129305,15464541,15702605,15827741,16823181,16947734,17158589,17420345,17481662,17839893,18155166,18216260,18332534,18563705,18617453,18768197,18843126,19115582,19134845,20084932,20204661,20276045,20511446,20535380,20541621,20644792,20658014,20904414,21057710,21415805,21859512,22276446,22368281,22894293,22961814,23225391,23334724,23673806,23899341,24118997,24331254,24378782,24512270,24568293,24591951,24642456,24742916,25269252,25698966,25719869,25854254,25868141,26232856,26519549,26811710,27634454,27649275,27722763,28323326,28364921,28692760,28939862,29414724,29492560,29511963,29557893,30183134,30327524,30488141,31251844,31869741,32012453,32174052,32279355,32972846,33179130,33274109,33296345,33335320,33514581,33662776,34431312,34455710,34634355,34832654,34959716,35128061,35391072,35604917,35779577,36101645,36340829,36742670,36943312,36996302,37114221,37289044,37331801,37502235,37854014,37870623,37885070,38416701,38735226,39255197,39391293,39814956,39955614,40002384,40013945,40063364,40363941,40809821,40827413,40927961,41091029,41231375,41342660,41346852,41561226,41619435,42551933,42625893,43291001,43321974,43353305,43776854,44091204,44394064,44498776,44593373,45002682,45027542,45084075,45462084,45661636,45743021,46347749,46544357,46609997,46664632,46798581,47750573,47920397,48002174,48016734,48089680,48351833,49047821,49303023,49458389,49477650,49611192,49943322,50061123,50617893,50731694,50854133,51567861,51703172,51915470,52023966,52497711,52695773,52776160,52851860,52887149,52887736,53776893,53842445,54011924,54100890,54316217,54544877,54557726,55753397,55812591,56001208,56288541,56469437,56914293,57449597,57707616,58471192,58474893,58694075,58701470,59045595,59192249,59373180,59498703,59585933,59596575,59601581,59650997,60030093,60094073,60400205,60642341,60650661,61077077,61615781,61628093,61798555,62298564,62497275,62981968,63001359,63104536,63117305,63176894,63331392,63422232,63569680,63584537,63714062,63740541,64325060,64610934,64663293,64921068,65017877,65170772,65425037,65698334,65780091,66211070,66585710,66663760,67408397,67776952,68457710,68895509,68913821,69062774,69063245,69271289,69855501,69922073,70139645,70158981,70246142,70292375,70412381,70432890,70441764,70558166,70755509,70765293,70854714,70992603,71247816,71350011,71515890,71694317,71751545,71936717,72145262,72164501,72480246,73207519,73261694,74158266,74385021,74570392,74706521,74996730,75115397,75128416,75553070,75740766,76249071,76283616,76328477,77190072,77665277,77792537,78166253,78267653,78271293,79453284,79613294,79647710,79902852,79996512,80058653,80153793,80348781,80808662,81235893,81354905,81486244,81710296,81826221,81826949,82149252,82875894,82878494,83026349,83289902,83426595,83891691,84001805,84167574,84297269,84350850,84519468,84697732,84923141,85215710,85313141,85430981,85431448,85819068,85853636,85947353,86101854,86534201,86636056,86639705,86642189,86838831,86968635,87507641,87640697,87937901,88283650,88346559,88988368,89177462,89709614,89974240,89996076,90134969,90663684,91313848,91365245,91888505,91924083,92685782,92766544,92766795,92902397,93387149,93533054,93949395,94258766,95020505,95169389,95577252,95605755,96110379,96297710,96303621,96317006,96355672,96581645,96775214,97465563,97606622,97620605,97625886,98937629,98951248,99049037,99317375,99415574,99589949,...,8249484494385012069850991430351042809626087554932188420929525825892515466268618325865459284074979242842415427403858692785903243936208574872958689255675779594206440804206857684610836636158048538712404002853178636956689245327322623757807180168762782668025461948893944063842565437241111976805360413729328971934585283104858009153189374877712078155723932997993956799083153166449461222957964567778731484636193259284670664683267385143895705746797963273908417922243716130909973218099092017781997258927708189014938340840101284797426707226369274046354218615804976570875187347285883754474732169742970014208515590788237025486911671004839067043806475648822592186576224696396093564404466170683464870569154944629033550608384049191931406869902638887616019426985140502065064815869159044651229486620041454464689366268425115335927686034630927399717328097649957222937732233592204626722384670809250647932874957160147574576086602269605146150160361808717623542002020435270308606879187407452570448887122930440528503312384669042968341789559942181496350411848663819231860639296491585245988719672735519415793294845499842152921610206287450443894488045843441640841749242068425936584814525596649803511889955851795895788269251805662800953156778369736771729246451326442299785044058291490326467193866916554426160574883845399051185182079216956156606736771151182755647965538485153768265586493540869755796422659879235742891771926806556585460503663691135424782391664709147684401267661065871291856363172446277636901586905726033123500679737882225819663959511472659726983061487714875535110755215906674926253195372231763495763935567665994173058605294062462265421096025380552605585201713864088044765154164367436077241351273844740667371268410845884061946331805284576810891485001967557235762429304692460206009843908738870415135346730309005049474297304550991187628519440690556185776405564792218140310863361214312948585155339544447702251948128466263295805188925069031736405194327965656014036432316367162801890449787000472098878609127639997110306034907599785655401661816723577609214087092287618693332117773283846116789180981688578211477393194927947133077934685504499097133631482986751132112742297613025141241508471416005483301021912736820676797225072200856913137368869754482416390483360321663787384113473719953916567718481740683092698721291033454039726789822375375141997859378827713981292149865886545811822405653248716201483966643006801094343072758965827608972996769971385450084755619992297263453945289531564383314622152474472530672006641144572218318103628602468765110211890497182435583650619268325389273108675950879984802648100750919643304751949617561131389924518769013560219220676474543700501585238781830509694947967053633247122273766436387966667785723352282374854088511700970692328544769731279395775371404359825687780973575660910163539599207765893138605966865358206214355201689908645452836474199128547956143387502508993056029036528666596286972891737307321176597166917118842045415278025191117437061313737726432017975157654959426024643283878522165245367379479947957494453748065719319819121521792054221453458929296274445798719800656223052}
19436  33029244002547171170766960674201802574662605428098011070971032353325962: {58299,136003,194290,233148,252499,271978,368923,388540,427306,466248,504946,524529,660178,854524,1087688,1202986,1223649,1456725,1553840,1667626,1748070,1822378,1864608,1991299,2019368,2039205,2054386,2097684,2175152,2250748,2271789,2363506,2427625,2447046,2452243,2913150,3107360,3141499,3180124,3203805,3417392,3495780,3728832,3828163,3844566,3905266,4108348,4194936,4284499,4398403,4572028,4719303,4757165,5708598,6435178,6661363,6669128,6795950,6998323,7502769,7579378,8155140,8568106,8673403,8698816,8719978,8732188,8784499,9371649,9629866,9708500,9786168,9891499,10113724,10386346,10612978,10762005,10881643,11009439,11156725,11216626,11479472,11650200,11923005,11969746,12083899,12165681,12426880,12717872,12864189,12914406,13106475,13246378,13327228,13388070,13471186,13663605,13980240,14140003,14280608,14307606,14574512,14593066,14912256,15002408,15115378,15727770,15851299,16008946,16065684,16382299,16396326,16454866,16776288,16877709,17017123,17493106,18064193,18141805,18383683,18454378,18592843,18873324,19114483,19127073,19257724,19634323,19707346,19780906,19836993,20565499,20619388,20668603,21562149,21770166,21931221,22104499,22430908,22512163,22770325,22953749,23627299,23729386,23786524,24092626,24206888,24310378,24817906,25106165,25124168,25396978,25421601,25632499,25669225,25805990,25825393,25902826,26030083,26222493,26228443,26939548,27232749,27324390,27388828,27415666,27498801,27774826,27872552,28264689,28488883,28673373,28683643,28849906,29146016,29168405,29454929,29701928,29707378,30127398,30135163,30519499,30525724,30615752,30767169,30803070,30928645,30967188,30987021,30998299,31356621,31380043,31586565,31865788,32325398,32441672,32690386,32757724,32789268,32791070,32801323,32856608,33414669,33692336,33748906,34265288,34442721,34671163,34763899,34803826,35002086,35134123,35224786,35510709,35687299,35865950,36064978,36274666,36496881,36554026,36568173,36768405,36865700,36963684,36967963,37058899,37114374,37599346,37603003,37903878,37909405,38016466,38548449,38781381,38844806,38936429,38951923,39056746,39064805,39219632,39349284,39410524,40093426,40217565,40637299,40725283,40831553,41126506,41451681,41669150,41949499,42078470,42484989,42492988,42898736,43039140,43113586,43159603,43409793,43673899,43699645,43795666,44122086,44238840,44340178,44544106,44686108,44863843,45032683,45274701,45285403,45491286,45908416,46179140,46276769,46611305,46622299,46845226,46877766,47036299,47182066,47188096,47249386,47383978,48185923,48261078,49001057,49459269,49485628,49562923,49595506,49768695,50002980,50079205,50203723,50494164,51162293,51222268,51471499,51550123,51646968,51678325,51683565,51785563,52054378,52248981,52252786,52439574,52521724,52643299,53086608,53274152,53336512,53818588,53965153,54163306,54180499,54556906,54818986,55109222,55114005,55129136,55211626,55216469,55314499,55414968,55492580,55494453,55538386,55623470,55763563,55933566,55987123,56125546,56135803,56358283,56506243,56516266,56781021,56827605,56834524,56971378,57077045,57168499,57295978,57762632,57943978,58102839,58187083,58330790,58331443,58788272,59048923,59304833,59333899,59722434,59933421,60003576,60041299,60095046,60112100,60199378,60322243,60616112,60968146,61088899,61643989,61989586,62013990,62020278,62264501,62341839,62398108,62752978,63202603,63537043,63736843,63830506,64022312,64200523,64463899,64628965,64982961,65052283,65249093,65406706,65665281,65737364,65763499,65970200,66064825,66109670,66136806,66148256,66402499,66591096,66748164,67285003,67347499,67490524,67504023,67514905,67541313,67720963,67906723,68193126,68218666,68492454,68643283,68757148,68825803,69365288,69489499,69828586,69996948,70001510,70085299,70260178,71255299,71496509,71543299,71702524,71772403,72003261,72025101,72057163,72134520,72170563,72284266,73088990,73198546,73233499,74048626,74109226,74216475,74416788,74752517,74914983,75051388,75357269,75806549,75854803,75885724,75919786,76097541,76112563,76673299,76943488,76985777,77118826,77125603,77175499,77357866,77554758,77835178,77864822,77866483,77873205,77966524,78035949,78638899,78686563,78727378,78727460,78880670,79142506,79164240,79277790,79331604,79392883,79462100,79624723,79899617,80029426,80037499,80040124,80406325,80500978,80867548,80889763,81017886,81151335,81170726,81206386,81406013,81463465,81558226,81836589,82182523,82435306,82599043,82959826,83008363,83048899,83064752,83134378,83250499,83329700,83608843,83883523,84001812,84269803,84311213,84384283,84441856,84562976,84721190,84756586,84761203,84946963,84987388,85167499,85204003,85529299,85562986,85915973,86058499,86137066,86147912,86217724,86402299,86561424,86582342,86772163,87198043,87280426,87358603,87686102,87706788,87891043,88052205,88870378,89033899,89059770,89232038,89417443,89547946,89734963,89838499,89966299,89998378,90167026,90435523,90601843,91231786,91253299,91463899,91511026,91667299,92071003,92322499,92391763,92476723,92512978,92576299,92641243,92673283,92813899,93021043,93140668,93178066,93187363,93212990,93233386,93292483,93417403,93429499,93447846,93545308,93557803,93666883,93807499,93910520,93922352,93934003,94015723,94061299,94097299,94245043,94294363,94298899,94336483,94353724,94374499,94429723,94434763,94439083,94472952,94656804,94765341,94830706,94986281,94997088,95133348,95334533,95354520,95542378,95571093,96109453,96487590,96640328,96916401,97336786,97381602,97444978,97502993,97756158,98547501,98630866,98877688,99180028,99220906,99316605,99878565,99995640,...,12374226741577518104776487145526564214439131332398282631394288738838773199402927488798188926112468864263623141105788039178854865904312862309438033883513669391309661206310286526916254954237072808068606004279767955435033867990983935636710770253144174002038192923340916095763848155861667965208040620593993457901877924657287013729784062316568117233585899496990935198624729749674191834436946851668097226954289888927005997024901077715843558620196944910862626883365574196364959827148638026672995888391562283522407511260151927196140060839553911069531327923707464856312781020928825631712098254614455021312773386182355538230367506507258600565709713473233888279864337044594140346606699256025197305853732416943550325912576073787897110304853958331424029140477710753097597223803738566976844229930062181697034049402637673003891529051946391099575992146474935834406598350388306940083577006213875971899312435740221361864129903404407719225240542713076435313003030652905462910318781111178855673330684395660792754968577003564452512684339913272244525617772995728847790958944737377868983079509103279123689942268249763229382415309431175665841732068765162461262623863102638904877221788394974705267834933777693843682403877708494201429735167554605157593869676989663449677566087437235489700790800374831639240862325768098576777773118825434234910105156726774133471948307727730652398379740311304633694633989818853614337657890209834878190755495536703137173587497063721526601901491598806937784544758669416455352380358589049685251019606823338729495939267208989590474592231572313302666132823860012389379793058347645243645903351498991259587907941093693398131644038070828908377802570796132067147731246551154115862026910767111001056902616268826092919497707926865216337227502951335853643643957038690309014765863108305622703020095463507574211445956826486781442779161035834278664608347188327210466295041821469422877733009316671553377922192699394943707783387603547604607791491948484021054648474550744202835674680500708148317913691459995665459052361399678483102492725085366413821130638431428039998176659925769175183771472532867317216089792391920699616902028256748645700447224480126698169113446419537711862262707124008224951532869105231015195837608301285369706053304631723624585725040482495681076170210579930874851577722611024639048081936550181059590184733563062712996789068241570971938224798829818717733608479873074302225949964510201641514609138448741413459495154957078175127133429988445895180917934297346574971933228711708796008009961716858327477155442903703147665317835745773653375475928902488083909663013926319977203972151126379464957127924426341697084886778153520340328831014711815550752377858172745764542421950580449870683410649654581950001678585028423562281132767551456038492817154596919093663057106539738531671460363491365245309398811648839707908950298037309321532802534862968179254711298692821934215081253763489584043554792999894430459337605960981764895750375678263068122917037786676155591970606589648026962736482439139036964925817783247868051069219921936241680622098578979728682282688081332180188393944411668698079700984334578}
19437  33159225404640100856496672217344204390868911145696126108579780339005445: {77732,291435,310864,349722,407967,485675,582810,621664,640959,699372,757419,951727,990267,1068155,1281786,1359610,1631532,1766947,1804479,1903258,1942300,2330760,2486144,2501439,2524210,2622105,2718940,2733567,2796912,2813435,2990218,3029052,3081579,3146526,3262728,3376122,3545259,3670569,3884200,3975155,4271740,4369725,4661040,4770186,4908959,4971776,5126088,5135435,5243670,5593248,5607467,5715035,5766849,5835487,5857899,6162522,6292404,6858042,7611464,8336410,8562897,9325147,9559763,9585082,9652767,10003692,10018943,10044538,10193925,10257839,10833979,10873520,10915235,11128138,11294459,11369067,11418943,12135625,12232710,12495532,12642155,12752698,12852159,13048224,13079967,13098282,13127107,13507163,13624843,14349340,14444799,14562750,14679252,15170586,15479027,15533600,15579519,15629146,15781018,15897340,15919467,16220908,16297739,16659035,16824939,17152252,17219208,17475300,17850760,17954619,18218140,18268739,18334426,18640320,18753010,19076808,19371609,19869567,19883008,19990842,20082105,20206779,20433898,20660146,20970360,21181027,21364474,21420912,21461409,21665722,21861768,21889599,21983647,22368384,22503612,22673067,22738463,23591655,24013419,24072155,24098526,24381298,24388483,24594489,24682299,25164432,25502764,25774235,25989187,26239659,26449324,26788783,27246874,27637306,27681567,28038635,28309986,28386463,28749532,28886586,29026888,29068523,29241628,29480794,29561019,29671359,29733155,29982127,30258610,30929082,31405210,31655482,32655249,33170723,33646362,33674435,33895468,34236035,34317178,34840690,34963324,35378783,35594079,35679786,36138939,36310332,36432520,36465567,36665068,37127410,37226859,37234906,37536394,37686252,37832899,38095467,38157155,38231164,38269690,38708985,38854239,39323947,39832235,39988939,40169864,40409322,40552090,40947155,40986585,41022892,41070760,41083242,41123499,41289584,41316028,41662239,41808828,42115420,42831610,42956603,43274859,43719024,43750579,44552892,44561067,44736562,45191097,45788586,45923628,46082125,46204605,46450782,46614883,46669448,47347612,47798682,47926507,48237994,48250579,48488097,48662508,48757564,49024540,49035579,49136586,49183902,49186605,49263155,49284912,49485832,49862339,50163299,50538504,50542303,50623359,50710459,51397932,51439738,51708508,51736282,52205739,52465712,52503129,52701259,52837179,53039098,53116235,53623420,53798925,54097467,54411999,54831039,55268908,55277023,55298550,55438559,55445526,55671561,55857635,56019523,56399019,56646652,56685563,56729842,56855817,57024699,57385520,57723925,57879724,58062163,58267209,58585119,58829448,58985120,59023926,59115786,59891003,60100339,60140139,60366268,60655048,60694627,60976282,61689759,61857035,62503688,62503725,63117705,63739482,64024906,64027835,64348104,64467503,64558710,64670379,65652155,65693499,65945692,66156043,66183129,66358260,66510267,66548218,66592690,66670640,66816159,67029162,67249439,67273235,67325552,68236929,68862624,68911420,69268710,69365725,69665308,69919432,70256122,70267839,70316649,70419739,70773099,70782144,70874079,71043155,71075967,71209834,71559154,72203290,72391617,72667039,72681658,72824543,73485340,73886624,73992604,74060459,74228442,74393259,74578088,74663602,75004470,75140125,75379423,75708028,75741246,75770140,76833402,77000863,77470452,77932403,77997635,78081567,78379179,78510394,78659361,78782586,78915883,79629912,79911228,80004768,80027890,80126728,80727882,80736083,81244959,81459323,81619642,81654826,81835359,81855922,82171705,82182058,82228479,82462750,82663833,82685320,82693704,82817439,83021503,83122452,83218139,83238870,83307579,83435205,83620147,83723147,83900349,84188319,84363155,84560287,84620843,84774399,84905099,85103866,85251786,85457067,85650947,85943967,85946435,86517977,86582002,86643948,86706610,86915967,87496185,87553708,88182408,88364227,88788128,88997552,89186746,89583651,89628155,90005364,90055084,90142569,90168150,90299067,90563827,90924168,91323272,91427003,91452219,91486042,91564883,92378299,92695498,92984379,93020985,93030417,93088714,93219994,93329264,93597162,93684883,93814235,94129467,94857155,95501146,95745759,95840794,96004348,96033468,96179360,96688543,96703666,97392383,97458155,98095642,98110059,98195503,98409325,98606046,98916778,98955300,99164505,99205209,99222384,99327625,99831743,99886644,...,18561340112366277157164730718289846321658696998597423947091433108258159799104391233197283389168703296395434711658682058768282298856469293464157050825270504086964491809465429790374382431355609212102909006419651933152550801986475903455066155379716261003057289385011374143645772233792501947812060930890990186852816886985930520594676093474852175850378849245486402797937094624511287751655420277502145840431434833390508995537351616573765337930295417366293940325048361294547439740722957040009493832587343425283611266890227890794210091259330866604296991885561197284469171531393238447568147381921682531969160079273533307345551259760887900848564570209850832419796505566891210519910048884037795958780598625415325488868864110681845665457280937497136043710716566129646395835705607850465266344895093272545551074103956509505837293577919586649363988219712403751609897525582460410125365509320813957848968653610332042796194855106611578837860814069614652969504545979358194365478171666768283509996026593491189132452865505346678769026509869908366788426659493593271686438417106066803474619263654918685534913402374644844073622964146763498762598103147743691893935794653958357315832682592462057901752400666540765523605816562741302144602751331907736390804515484495174516349131155853234551186200562247458861293488652147865166659678238151352365157735090161200207922461591595978597569610466956950541950984728280421506486835314752317286133243305054705760381245595582289902852237398210406676817138004124683028570537883574527876529410235008094243908900813484385711888347358469953999199235790018584069689587521467865468855027248486889381861911640540097197466057106243362566703856194198100721596869826731173793040366150666501585353924403239139379246561890297824505841254427003780465465935558035463522148794662458434054530143195261361317168935239730172164168741553751417996912520782490815699442562732204134316599513975007330066883289049092415561675081405321406911687237922726031581972711826116304253512020751062222476870537189993498188578542099517724653739087628049620731695957647142059997264989888653762775657208799300975824134688587881049425353042385122968550670836720190047253670169629306567793394060686012337427299303657846522793756412451928054559079956947585436878587560723743521614255315869896312277366583916536958572122904825271589385277100344594069495183602362356457907337198244728076600412719809611453338924946765302462271913707673112120189242732435617262690700144982668842771376901446019862457899843067563194012014942575287491215733164355554721497976753618660480063213893353732125864494520889479965805958226689569197435691886639512545627330167230280510493246522067723326128566787259118646813632925870674806025115974481872925002517877542635343421699151327184057739225731895378640494585659809607797507190545237047867964098217473259561863425447055963982299203802294452268882066948039232901322621880645234376065332189499841645689006408941472647343625563517394602184375556680014233387955909884472040444104723658708555447388726674871802076603829882904362520933147868469593023424032121998270282590916617503047119551476501867}
19438  33289714683334138112556450159836387651413163048937777346570384124056657: {97165,116598,213697,272006,330157,388580,466296,504998,524583,543956,737846,777080,854612,874215,911377,932496,1009892,1049058,1143361,1320356,1709048,1922679,2039415,2175376,2405972,2427875,2447298,2644237,2854887,2874061,2913450,3107680,3335252,3398675,3447361,3496140,3644756,3729216,3786315,3982598,4038736,4078410,4108772,4195368,4350304,4360897,4485327,4501496,4543578,4719789,4727012,4855250,4894092,4904486,4929517,5064183,5339675,5383117,5826300,6061357,6214720,6282998,6360248,6407610,6660031,6834784,6849361,6991560,7155279,7457664,7633837,7656326,7689132,7810532,7865505,8216696,8389872,8568998,8796806,9081361,9144056,9243783,9302977,9438606,9514330,9855757,10287063,10736461,11284561,11417196,12048877,12504615,12870356,13322726,13338256,13458961,13591900,13996646,14377623,15005538,15066807,15158756,15284557,15619415,16310280,16692207,17136212,17346806,17397632,17439956,17464376,17568998,17936675,18036397,18349065,18743298,19129047,19259732,19417000,19572336,19647423,19782998,19871675,20120077,20227448,20276135,20326861,20772692,21048337,21225956,21440315,21524010,21561517,21663937,21763286,21844125,22018878,22313450,22433252,22755879,22772675,22958944,23300400,23394061,23443719,23671527,23697217,23846010,23898961,23939492,24167798,24331362,24602797,24853760,25398527,25435744,25728378,25828812,26099137,26212950,26492756,26594317,26654456,26776140,26890561,26942372,27327210,27501639,27960480,28129515,28280006,28557037,28561216,28615212,29149024,29186132,29824512,29986263,30004816,30230756,30298861,30520919,30650847,30990219,31455540,31702598,31878455,31922497,32017892,32046711,32131368,32498583,32764598,32792652,32909732,33061655,33552576,33755418,34034246,34086061,34986212,35148631,35936915,36128386,36147789,36211537,36283610,36552035,36571947,36577297,36767366,36908756,37185686,37746648,38028817,38228966,38254146,38515448,39268646,39414692,39561812,39673986,39994561,40835767,40870311,41052097,41130998,41139757,41238776,41337206,41455959,41751361,42369335,42464979,43050061,43124298,43300103,43329879,43540332,43704155,43862442,43906861,44208998,44221191,44861816,45024326,45387915,45540650,45831335,45907498,46267597,46393623,46434061,46848961,47107815,47254598,47458772,47483223,47573048,47788955,48082861,48185252,48413776,48620756,48734317,49461697,49635812,50212330,50248336,50469543,50502061,50793956,50843202,50898961,51136237,51264998,51278615,51338450,51475767,51611980,51645035,51650786,51805652,52060166,52078861,52234957,52261035,52444986,52456886,52623937,52644275,53073167,53242561,53519679,53856577,53879096,54161857,54465498,54648780,54690727,54777656,54831332,54997602,55371457,55549652,55691115,55745104,55852359,56304591,56488717,56529378,56977766,57346746,57367286,57404535,57699812,57880657,57953197,58242637,58292032,58336810,58909858,59032657,59184515,59388877,59403856,59414756,60254796,60270326,60613983,60726097,60828135,60946955,61038998,61051448,61179503,61231504,61280675,61534338,61606140,61624863,61857290,61934376,61974042,61996598,62649361,62713242,62760086,63173130,63322561,63731576,63776999,64120897,64247415,64635635,64650796,64883344,64974061,65255827,65380772,65493037,65515448,65578536,65582140,65602646,65713216,66390157,66829338,67022317,67029275,67104843,67384672,67497812,67709377,68028983,68530576,68682879,68885442,68896223,69057361,69086135,69178177,69342326,69478957,69527798,69607652,69676173,70004172,70110887,70252561,70268246,70429357,70449572,70808315,71013997,71021418,71130061,71374598,71418961,71698023,71731900,72129956,72349655,72356991,72549332,72668737,72851987,72993762,73108052,73136346,73536810,73704879,73731400,73775853,73927368,73935926,73938061,74117798,74228748,74316817,74585197,74745361,75198692,75206006,75379537,75457835,75640717,75692737,75807756,75818810,76032932,76157677,76413457,76718017,76919617,77096898,77159607,77562762,77604423,77689612,77812561,77872858,77903846,77959117,78113492,78129610,78439264,78442957,78634477,78698568,78821048,79558647,79574797,79907863,80170561,80186852,80435130,80486317,80531137,81274598,81369037,81450566,81663106,82054477,82222957,82253012,82432115,82680337,82844497,82885357,82903362,82947825,82966861,83168289,83338300,83370061,83383487,83898998,84156940,84231757,84969978,84985976,85094763,85797472,85815361,85885777,86078280,86095297,86139275,86227172,86319206,86336461,86506561,86574097,86759783,86774977,86819586,86841361,87071437,87081635,87347798,87399290,87591332,87646861,88047937,88168897,88244172,88477680,88535889,88673679,88680356,88756417,89088212,89315137,89342317,89372216,89530561,89662861,89715277,89727686,89998417,90065366,90174061,90480551,90549402,90570806,90609517,90841357,90932077,90982572,90983191,91218961,91326061,91464423,91636561,91736461,91795537,91816832,91856675,91892557,92358280,92490755,92553538,92636461,92975437,93222610,93244598,93418561,93514177,93627217,93670417,93681037,93690452,93702061,93755532,93869137,93957697,94072598,94120237,94216897,94245517,94337857,94341997,94364132,94376017,94376192,94409677,94430737,94441537,94458061,94458961,94498772,94520867,94635035,94712675,94767956,95248331,95609223,96037359,96371846,96522156,96838065,98002114,98918538,98971256,99125846,99191012,99537390,99822327,99889035,...,24748453483155036209552974291053128428878262664796565262788577477677546398805854977596377852224937728527246282211576078357709731808625724618876067767027338782619322412620573053832509908474145616137212008559535910870067735981967871273421540506288348004076385846681832191527696311723335930416081241187986915803755849314574027459568124633136234467171798993981870397249459499348383668873893703336194453908579777854011994049802155431687117240393889821725253766731148392729919654297276053345991776783124567044815022520303854392280121679107822139062655847414929712625562041857651263424196509228910042625546772364711076460735013014517201131419426946467776559728674089188280693213398512050394611707464833887100651825152147575794220609707916662848058280955421506195194447607477133953688459860124363394068098805275346007783058103892782199151984292949871668813196700776613880167154012427751943798624871480442723728259806808815438450481085426152870626006061305810925820637562222357711346661368791321585509937154007128905025368679826544489051235545991457695581917889474755737966159018206558247379884536499526458764830618862351331683464137530324922525247726205277809754443576789949410535669867555387687364807755416988402859470335109210315187739353979326899355132174874470979401581600749663278481724651536197153555546237650868469820210313453548266943896615455461304796759480622609267389267979637707228675315780419669756381510991073406274347174994127443053203802983197613875569089517338832910704760717178099370502039213646677458991878534417979180949184463144626605332265647720024778759586116695290487291806702997982519175815882187386796263288076141657816755605141592264134295462493102308231724053821534222002113805232537652185838995415853730432674455005902671707287287914077380618029531726216611245406040190927015148422891913652973562885558322071668557329216694376654420932590083642938845755466018633343106755844385398789887415566775207095209215582983896968042109296949101488405671349361001416296635827382919991330918104722799356966204985450170732827642261276862856079996353319851538350367542945065734634432179584783841399233804056513497291400894448960253396338226892839075423724525414248016449903065738210462030391675216602570739412106609263447249171450080964991362152340421159861749703155445222049278096163873100362119180369467126125425993578136483141943876449597659637435467216959746148604451899929020403283029218276897482826918990309914156350254266859976891790361835868594693149943866457423417592016019923433716654954310885807406295330635671491547306750951857804976167819326027852639954407944302252758929914255848852683394169773556307040680657662029423631101504755716345491529084843901160899741366821299309163900003357170056847124562265535102912076985634309193838187326114213079477063342920726982730490618797623297679415817900596074618643065605069725936358509422597385643868430162507526979168087109585999788860918675211921963529791500751356526136245834075573352311183941213179296053925472964878278073929851635566495736102138439843872483361244197157959457364565376162664360376787888823337396159401968669156}
19439  33420713808902815251237329248696549280440746568220922192939799780619922: {155464,174897,408009,485725,582870,621728,679945,699444,757497,815934,971350,1068265,1106769,1165620,1243328,1262365,1281918,1398744,1495417,1514838,1573587,1650445,1903454,1980534,2136310,2349457,2563572,2719220,3007465,3263064,3533894,3608958,3670947,3806516,3884600,3938809,4169065,4370175,4555945,4661520,4972288,5002878,5048420,5135965,5244210,5437880,5467134,5565217,5593824,5626870,5801497,5908765,5973897,5980436,6058104,6117615,6163158,6267169,6293052,6525456,6752244,6815367,7090518,7189609,7282875,7341138,7356729,7768400,7892137,7950310,8001049,8543480,8739450,8743537,9322080,9424497,9540372,9611415,9763165,9817918,9943552,10019977,10219057,10252176,10270870,10487340,10684441,11186496,11214934,11430070,11484489,11533698,11670974,11715798,11840569,12325044,12584808,12853497,12931129,13195209,13347997,13508557,13716084,14157909,14166049,14271495,15096241,15222928,15281329,16087945,16299421,16491529,16672820,16989875,17125794,17300089,17421721,17699017,18650294,18948445,19119526,19159897,19170164,19305534,19984089,20007384,20037886,20089076,20387850,20515678,20787229,20994969,21420265,21667958,21747040,21799945,21830470,22256276,22508307,22588918,22738134,22837886,23163481,23322649,24074665,24271250,24465420,24991064,25284310,25505396,25704318,25965865,26020209,26096448,26159934,26196564,26254214,26353497,26532445,26872729,26963497,27014326,27249686,28041565,28114947,28698680,28889598,29125500,29250829,29358504,29492881,29674497,29924365,30341172,30958054,31067200,31159038,31258292,31562036,31794680,31838934,32286015,32441816,32595478,32644929,33028317,33115945,33318070,33470175,33649878,33677965,33701017,33827569,34304504,34353709,34438416,34950600,35701520,35769015,35909238,36083929,36251697,36436280,36482665,36497043,36537478,36668852,36906697,37073161,37092589,37280640,37506020,37788445,37901281,38153616,38592567,38743218,39254089,39319425,39739134,39766016,39981684,40022365,40164210,40413558,40416937,40867796,40990815,41137165,41320292,41626417,41673577,41811289,41940720,42362054,42420009,42728948,42841824,42922818,43100689,43331444,43723536,43732765,43779198,43967294,44736768,45007224,45346134,45476926,46135945,47144209,47183310,47519449,47553897,47930449,48010321,48026838,48144310,48197052,48762596,48776966,48818509,49146897,49188978,49268365,49364598,49452265,50328864,50633127,51005528,51051369,51548470,51978374,52479318,52898648,53301121,53366689,53420017,53577566,53610409,54192579,54306397,54425415,54493748,55151049,55274612,55363134,55765129,55778529,56077270,56343169,56556061,56611309,56619972,56772926,57107017,57326017,57343449,57381219,57499064,57773172,58053776,58137046,58483256,58902969,58961588,59122038,59323465,59328649,59342718,59466310,59510979,59964254,60231565,60517220,60775945,61010461,61696497,61858164,62005809,62044765,62443057,62574241,62810420,63310964,63492445,64021417,64514975,64571617,64686447,64757065,65310498,65518297,65793663,66028009,66283489,66313497,66341446,66992029,67292724,67348870,67536489,67790936,68310975,68472070,68539165,68601769,68634356,68861247,68909857,68968417,69437065,69529081,69544249,69681380,69926648,70458541,70757566,70881897,71188158,71359572,72124765,72127837,72277878,72620664,72832177,72865040,72931134,73244281,73330136,73935409,74254820,74268445,74362729,74453718,74469812,75072788,75303481,75318495,75324409,75372504,75665798,76190934,76264803,76314310,76462328,76539380,76571629,76760077,76897497,77007675,77417970,77476179,77708478,77940529,78090249,78200689,78584557,78647894,78667479,78685329,79198729,79664470,79977878,80339728,80647309,80813495,80818644,80885401,81104180,81698247,81725965,81894310,81973170,81977675,82045784,82141520,82166484,82246998,82496403,82579168,82632056,83108377,83324478,83617656,84230840,84335161,84372265,84794067,85466649,85663220,85913206,86020119,86050929,86065369,86202541,86549718,86599849,87009565,87081289,87100921,87438048,87501158,87505215,87525997,87612481,88061965,88364787,88748689,88957321,89105784,89122134,89473124,89638969,89664875,89961961,90162445,90382194,90405489,90686665,91385065,91436557,91558497,91577172,91814857,91847256,91913017,92077729,92164250,92301507,92409210,92785935,92901564,92961063,92994897,93229766,93338896,93378049,93572929,93737281,93998365,94069863,94140129,94182529,94695224,94759695,95041165,95597364,95727529,95853014,96270109,96475988,96501158,96512029,96976194,97112015,97325016,97515128,97641865,98049080,98071158,98273172,98367804,98373210,98403969,98526310,98569824,98971664,99164749,99460417,99724678,99828121,...,37122680224732554314329461436579692643317393997194847894182866216516319598208782466394566778337406592790869423317364117536564597712938586928314101650541008173928983618930859580748764862711218424205818012839303866305101603972951806910132310759432522006114578770022748287291544467585003895624121861781980373705633773971861041189352186949704351700757698490972805595874189249022575503310840555004291680862869666781017991074703233147530675860590834732587880650096722589094879481445914080018987665174686850567222533780455781588420182518661733208593983771122394568938343062786476895136294763843365063938320158547066614691102519521775801697129140419701664839593011133782421039820097768075591917561197250830650977737728221363691330914561874994272087421433132259292791671411215700930532689790186545091102148207913019011674587155839173298727976439424807503219795051164920820250731018641627915697937307220664085592389710213223157675721628139229305939009091958716388730956343333536567019992053186982378264905731010693357538053019739816733576853318987186543372876834212133606949238527309837371069826804749289688147245928293526997525196206295487383787871589307916714631665365184924115803504801333081531047211633125482604289205502663815472781609030968990349032698262311706469102372401124494917722586977304295730333319356476302704730315470180322400415844923183191957195139220933913901083901969456560843012973670629504634572266486610109411520762491191164579805704474796420813353634276008249366057141075767149055753058820470016188487817801626968771423776694716939907998398471580037168139379175042935730937710054496973778763723823281080194394932114212486725133407712388396201443193739653462347586080732301333003170707848806478278758493123780595649011682508854007560930931871116070927044297589324916868109060286390522722634337870479460344328337483107502835993825041564981631398885125464408268633199027950014660133766578098184831123350162810642813823374475845452063163945423652232608507024041502124444953741074379986996377157084199035449307478175256099241463391915294284119994529979777307525551314417598601951648269377175762098850706084770245937101341673440380094507340339258613135586788121372024674854598607315693045587512824903856109118159913895170873757175121447487043228510631739792624554733167833073917144245809650543178770554200689188138990367204724712915814674396489456153200825439619222906677849893530604924543827415346224240378485464871234525381400289965337685542753802892039724915799686135126388024029885150574982431466328711109442995953507237320960126427786707464251728989041778959931611916453379138394871383773279025091254660334460561020986493044135446652257133574518237293627265851741349612050231948963745850005035755085270686843398302654368115478451463790757280989171319619215595014381090474095735928196434946519123726850894111927964598407604588904537764133896078465802645243761290468752130664378999683291378012817882945294687251127034789204368751113360028466775911819768944080888209447317417110894777453349743604153207659765808725041866295736939186046848064243996540565181833235006094239102953003734}
19440  33552224759208641525000345712835859175098009795637943513396874656165321: {136031,194330,213719,233196,252551,330191,368999,427394,446591,544012,660314,717911,777160,874305,932592,1009996,1027511,1049166,1087912,1143479,1182119,1223901,1297991,1457025,1475692,1554160,1709224,1748430,1822754,1864992,1922877,2019784,2068631,2098116,2272257,2286722,2529479,2640712,2682839,2855181,2912639,2970801,3204465,3218591,3333191,3399025,3418096,3485879,3676559,3845358,4078830,4350752,4361351,4399319,4475231,4758145,4811944,4855750,4894596,4930031,5288474,5300841,5308151,5413437,5421431,5709774,5748122,5826900,6215360,6310525,6670504,6737711,6797350,6850079,6894722,6992280,6999791,7289512,7410839,7458432,7475545,7504317,7572630,7783679,7866315,7965196,8077472,8156820,8192879,8200701,8217544,8341439,8390736,8440305,8700608,8721794,8749319,8860391,8970654,9002992,9087156,9244737,9439578,9454024,9710500,9788184,9808972,9856799,9859034,9893591,10128366,10224359,10635777,10679350,10766234,10774199,11011707,11322239,11652600,11925465,12086471,12122714,12159071,12267911,12429440,12565996,12720496,12811031,12815220,12955559,13109175,13280279,13320062,13604351,13669568,13698722,13820039,13983120,14214719,14310558,14357999,14726877,14915328,15267674,15312652,15321791,15378264,15406305,15621064,15731010,15854711,15925631,16433392,16456511,16779744,16822401,17020799,17137996,17145105,17300547,17337311,17506461,17512871,17573697,17593612,18143231,18162722,18288112,18387671,18487566,18605954,18666551,18877212,19028660,19118639,19500119,19638599,19711514,19949711,20574126,20673119,20841025,21050639,21084911,21392999,21472922,21666311,21867181,22177391,22279391,22381319,22569122,22720559,22834392,22889879,23430359,23531471,23699831,23901599,23935199,23962705,24097754,24939479,25009230,25111345,25239359,25688691,25704551,25740712,26102039,26135111,26234279,26597279,26630231,26645452,26676512,26917922,27090719,27183800,27418679,27713159,27820345,27876479,27975441,27993292,28386589,28560239,28679289,28754951,28755246,28958301,29466431,30011076,30016441,30045671,30056829,30133614,30317512,30569114,30581775,30686231,30773517,31100879,31238830,31482431,31881745,32242079,32501937,32620560,32714519,32745705,32808791,32871599,33153839,33341639,33384414,33809879,33883377,34089959,34107201,34121039,34256829,34272424,34462391,34693612,34795264,34833671,34879912,34928752,35137996,35480639,35695511,35848751,35873350,36070177,36072794,36124079,36246239,36398759,36406875,36611951,36698130,37037159,37486596,37926465,38258094,38483111,38519464,38556477,38692439,38834000,39020591,39072865,39139679,39144672,39239901,39294846,39381321,39452545,39565996,39743350,39910631,40028759,40117271,40240154,40454896,40521489,40552270,40653722,40793471,40874529,40881359,41056919,41545384,41581871,41756279,42017351,42096674,42393311,42451912,42880630,42911639,43048020,43083839,43123034,43169831,43327874,43334397,43526572,43688250,43912079,44025791,44037756,44626900,44629837,44866504,44874551,45099671,45183959,45352319,45511758,45545350,45771959,45836065,45883559,45917888,46134191,46286317,46437081,46439639,46467359,46600800,46738557,46788122,46882525,46887438,47047631,47102711,47343054,47394434,47679119,47692020,47758401,47788511,47797922,47878984,48335596,48662724,48686111,48821351,48893217,49205594,49574999,49628591,49707520,49977105,50311681,50375519,50474817,50797054,50871488,50931599,51084745,51172849,51456756,51536591,51650365,51657624,51798311,51850559,52085279,52189391,52198274,52425900,52630439,52656311,52708031,52985512,53188634,53249159,53274839,53308912,53411185,53428751,53552280,53633519,53781122,53812271,53863857,53884744,54164305,54168599,54193991,54624431,54654420,54806217,54952031,55003278,55152959,55378391,55403399,55920960,56001191,56125151,56199431,56259030,56273639,56520479,56560012,56791079,57114074,57122432,57230424,57231791,57304991,57402479,57475511,57548471,57912191,58114827,58129559,58250039,58298048,58346279,58372264,58968719,59063999,59182919,59317069,59349071,59396471,59608701,59649024,59680199,59821631,59972526,60009632,60246315,60384479,60461512,60477839,60597722,60620337,60942719,60953245,61041838,61104671,61150871,61185817,61301694,61381391,61634039,61771439,61908551,61980438,62068151,62318159,62408831,62657519,62792759,62911080,63017519,63196751,63263831,63405196,63486911,63543081,63753551,63756910,63844994,64035784,64093422,64163869,64262736,64384227,64458959,64590311,64997166,65523239,65529196,65585304,65630759,65668797,65716631,65780951,65819464,65950941,66123310,66271679,66420191,66779231,66904537,67052231,67105152,67156871,67407191,67510836,67739159,67863119,68019201,68068492,68117185,68172122,68215389,68233271,68702471,68844431,69006191,69093265,69308111,69508391,69972424,70104431,70143911,70281839,70297262,70399751,70774965,71023751,71139839,71274911,71601311,71735039,71790061,71873830,72040257,72133871,72216465,72228311,72256772,72284879,72295578,72303049,72397799,72423074,72566639,72567220,72678839,72720637,73104070,73124759,73143894,73154594,73165449,73253951,73309199,73534732,73566071,73701985,73783467,73817512,73948439,74020871,74046897,74345231,74371372,74773679,74915471,75232631,75372817,75493296,75646525,75876431,76057634,76082879,76168559,76185671,76457932,76475351,76508292,76729031,76829999,76897151,77001661,77030896,77147831,77197751,77322705,77347079,77840159,77921639,77967561,77986679,78181031,78229439,78406319,78454391,78513025,78537292,78661871,78709559,78718977,78829384,79041359,79123624,79138705,79166831,79213751,79276199,79322951,79347972,79447271,79493759,79908911,79989122,80091551,80288111,80366349,80397889,80854919,80958071,81177791,81381239,81422809,81467951,81597479,81671534,81683471,81740622,81897191,82080959,82104194,82165319,82235399,82261996,82279514,82477552,82486031,82527551,82568999,82624151,82674412,82858321,82911918,83033711,83044701,83436071,83502722,83935391,83987279,84115905,84244799,84295919,84410471,84435839,84737759,84738670,84862199,84929958,85108679,85159389,85325737,85364039,85472399,85580111,85792945,85840679,85911071,85969511,86100122,86108951,86120519,86248596,86281631,86315951,86361599,86520359,86600206,86659758,86768737,86799959,86866319,86899391,86987231,87080664,87101725,87182999,87205569,87226151,87290639,87408310,87724884,87813722,87878639,87919679,88011551,88062311,88193351,88273319,88313111,88342871,88417996,88442382,88539431,88607471,88683057,88723199,88771079,88780631,88951199,89014077,89199465,89248031,89366279,89465279,89492111,89545559,89581031,89625191,89712911,89723632,89868791,89885951,89946381,90013631,90048652,90147839,90489889,90490391,90561959,90632879,90775830,90879791,90992711,91081300,91299311,91341959,91349039,91495871,91578191,91662670,91811711,91814996,91818239,91889519,91927991,92047919,92066591,92103719,92296871,92355551,92372999,92436359,92535194,92609711,92653199,92787246,92818525,92857871,92868122,92893319,92908391,92992439,93078911,93087265,93162791,93181079,93193309,93244079,93314159,93373799,93452231,93500279,93543311,93600431,93697922,93702239,93840985,93871559,93905351,93970031,93975719,93978551,94017359,94028159,94097711,94105079,94126751,94138511,94154639,94179191,94187879,94194311,94215630,94282151,94285679,94331711,94334759,94340759,94356599,94377911,94394879,94396031,94414391,94417391,94425959,94434719,94443431,94445639,94464239,94468991,94470119,94473359,94477871,94478399,94509196,94917544,94966446,95146096,95577910,95674225,96165722,96370504,96720589,96827552,97241512,97468634,97965747,98544121,98923394,99131641,99271624,99512169,...,55684020337098831471494192154869538964976090995792271841274299324774479397313173699591850167506109889186304134976046176304846896569407880392471152475811512260893475428396289371123147294066827636308727019258955799457652405959427710365198466139148783009171868155034122430937316701377505843436182792672970560558450660957791561784028280424556527551136547736459208393811283873533863254966260832506437521294304500171526986612054849721296013790886252098881820975145083883642319222168871120028481497762030275850833800670683672382630273777992599812890975656683591853407514594179715342704442145765047595907480237820599922036653779282663702545693710629552497259389516700673631559730146652113387876341795876245976466606592332045536996371842812491408131132149698388939187507116823551395799034685279817636653222311869528517511880733758759948091964659137211254829692576747381230376096527962441873546905960830996128388584565319834736513582442208843958908513637938074583096434515000304850529988079780473567397358596516040036307079529609725100365279978480779815059315251318200410423857790964756056604740207123934532220868892440290496287794309443231075681807383961875071947498047777386173705257201999622296570817449688223906433808253995723209172413546453485523549047393467559703653558601686742376583880465956443595499979034714454057095473205270483600623767384774787935792708831400870851625852954184841264519460505944256951858399729915164117281143736786746869708556712194631220030451414012374049085711613650723583629588230705024282731726702440453157135665042075409861997597707370055752209068762564403596406565081745460668145585734921620291592398171318730087700111568582594302164790609480193521379121098451999504756061773209717418137739685670893473517523763281011341396397806674106390566446383987375302163590429585784083951506805719190516492506224661254253990737562347472447098327688196612402949798541925021990200649867147277246685025244215964220735061713768178094745918135478348912760536062253186667430611611569980494565735626298553173961217262884148862195087872941426179991794969665961288326971626397902927472404065763643148276059127155368905652012510160570141761010508887919703380182182058037012281897910973539568381269237355784163677239870842756310635762682171230564842765947609688936832099751749610875716368714475814768155831301033782208485550807087069373722011594734184229801238159428834360016774840295907386815741123019336360567728197306851788072100434948006528314130704338059587373699529202689582036044827725862473647199493066664164493930260855981440189641680061196377593483562668439897417874680068707592307075659918537636881990501690841531479739566203169978385700361777355940440898777612024418075347923445618775007553632627906030265097453981552173217677195686135921483756979428823392521571635711143603892294652419778685590276341167891946897611406883356806646200844117698703967865641935703128195996568499524937067019226824417942030876690552183806553126670040042700163867729653416121332314170976125666342166180024615406229811489648713087562799443605408779070272096365994810847772749852509141358654429505601}
19441  33684249519732125005374085915065741736391226392113574572586944629151787: {19441,291495,310928,349794,641091,680015,816018,951923,971450,990471,1165740,1243456,1262495,1359890,1398888,1495571,1514994,1573749,1631868,1767311,1844615,1942700,2136530,2213538,2310623,2331240,2486656,2524730,2563836,2622645,2734131,2776631,2797488,2990834,3029676,3147174,3300890,3430083,3806908,3961068,4210451,4272620,4698914,5127144,5438440,5768037,5836691,6014930,6118245,6378323,6526128,7004483,7067788,7190351,7217916,7283625,7341894,7613032,7769200,7877618,7932711,8272271,8338130,8564661,8622183,8740350,9111890,9170051,9323040,9327071,9944576,9956495,10005756,10096840,10196025,10271930,10333271,10342083,10488420,10875760,10934268,11130434,11187648,11253740,11358945,11421299,11602994,11817530,11841791,11947794,11960872,12116208,12138125,12194423,12235230,12261215,12326316,12534338,12586104,13050912,13082691,13455981,13504488,13630734,13668431,13822931,14159367,14167511,14181036,14379218,14565750,14682276,14713458,14788551,15097799,15192549,15536800,15707495,15784274,15832643,15900620,16002098,16019025,16149351,16493231,17086960,17423519,17478900,17487074,18184071,18623219,18644160,18848994,19080744,19140815,19222830,19526330,19635836,19887104,19980093,20039954,20438114,20504352,20541740,20548083,20628311,20974680,21368882,21422495,21465837,21992015,22220831,22372992,22429868,22523123,22860140,22901511,22968978,23067396,23341948,23431596,23596515,23681138,23785825,24650088,25169616,25706994,25862258,26390418,26527823,26695994,27017114,27244083,27375023,27432168,27731349,27908931,28315818,28332098,28542990,29567271,29988371,30192482,30445856,30519923,30562658,30861189,31865951,32175890,32209383,32598842,32692103,32983058,33284471,33306815,33345640,33704531,33853683,33979750,34251588,34545731,34600178,34843442,34855223,34991615,35398034,36146631,36352211,37145423,37300588,37513845,37807283,37896890,38239052,38319794,38324759,38340328,38611068,39258191,39968178,40014768,40075772,40178152,40376883,40775700,40840151,41031356,41456423,41574458,41894111,41989938,42096659,42840530,43132869,43335916,43367015,43494080,43599890,43660940,43922495,44291903,44512552,44607299,44792423,45016614,45177836,45200421,45476268,45675772,45853671,46326962,46362323,46645298,46858245,47114771,47149151,47765471,48149330,48407663,48542500,48930840,49250591,49457495,49473791,49982128,50076621,50568620,50787791,51010792,51075731,51408636,51423623,51931730,52040418,52192896,52319868,52393128,52508428,52706994,52903823,53064890,53107751,53745458,53810025,53926994,54028652,54109191,54408215,54499372,54561863,55047195,55427711,55783625,56031311,56083130,56229894,57387141,57397360,57592031,57675983,57779196,58251000,58501658,58717008,58942269,58985762,59348994,59615025,59645123,59848730,60360231,60419495,60456479,60682344,60828405,60980583,61225871,61916108,62134400,62318076,62516584,63096911,63124072,63145011,63271463,63589360,63677868,64320945,64572030,64590323,64684551,64883632,64991811,65190956,65218079,65289858,65532375,65626643,66056634,66231890,66636140,66914291,66940350,67299756,67355930,67402034,67490111,67655138,68267637,68318025,68609008,68707418,68876832,68917031,68975711,69233171,69789299,69901200,70182183,70331157,70700015,71014581,71091651,71403040,71538030,71696883,71818476,71885999,72167858,72503394,72872560,72965330,72994086,73074956,73251959,73337704,73556111,73808391,73813394,73895543,74146322,74185178,74561280,75012040,75576890,75802562,76195581,76307232,76311911,77016899,77185134,77486436,77689463,78297411,78508178,78592751,78638850,79256495,79423619,79478268,79532032,79782951,79963368,80044730,80083631,80328420,80504471,80671683,80827116,80833874,80846783,81735592,81852431,81911495,81981630,82274330,82504917,82640584,83052851,83163863,83252834,83347154,83622578,83627279,83881440,84324191,84388545,84724108,84840018,85085615,85086323,85457896,85671111,85683648,85845636,86074391,86201378,86561423,86662888,86862671,87110003,87447072,87465530,87558396,87829799,87934588,87965363,88030679,88889423,88995023,89473536,89958789,90014448,90151379,90320965,90407543,90659891,90692268,90709025,90896583,90953852,90990023,91562757,91918415,91952541,92087351,92271890,92964215,92970657,93011519,93211571,93416231,94288418,94366620,94401191,95038898,95107794,95377271,95572415,95635365,95767491,95860898,95954831,96020642,96053676,96140133,96288620,96394104,97211891,97495749,97525192,97553932,97637018,97664423,98171615,98218991,98293794,98377956,98536730,98729196,98904530,99184965,...,74245360449465108628658922873159385286634787994389695788365732433032639196417564932789133556674813185581738846634728235073129195425877173856628203301082016347857967237861719161497529725422436848411636025678607732610203207945903613820264621518865044012229157540045496574583088935170007791248243723563960747411267547943722082378704373899408703401515396981945611191748378498045151006621681110008583361725739333562035982149406466295061351721181669465175761300193445178189758962891828160037975330349373701134445067560911563176840365037323466417187967542244789137876686125572953790272589527686730127876640317094133229382205039043551603394258280839403329679186022267564842079640195536151183835122394501661301955475456442727382661829123749988544174842866264518585583342822431401861065379580373090182204296415826038023349174311678346597455952878849615006439590102329841640501462037283255831395874614441328171184779420426446315351443256278458611878018183917432777461912686667073134039984106373964756529811462021386715076106039479633467153706637974373086745753668424267213898477054619674742139653609498579376294491856587053995050392412590974767575743178615833429263330730369848231607009602666163062094423266250965208578411005327630945563218061937980698065396524623412938204744802248989835445173954608591460666638712952605409460630940360644800831689846366383914390278441867827802167803938913121686025947341259009269144532973220218823041524982382329159611408949592841626707268552016498732114282151534298111506117640940032376975635603253937542847553389433879815996796943160074336278758350085871461875420108993947557527447646562160388789864228424973450266815424776792402886387479306924695172161464602666006341415697612956557516986247561191298023365017708015121861863742232141854088595178649833736218120572781045445268675740958920688656674966215005671987650083129963262797770250928816537266398055900029320267533156196369662246700325621285627646748951690904126327890847304465217014048083004248889907482148759973992754314168398070898614956350512198482926783830588568239989059959554615051102628835197203903296538754351524197701412169540491874202683346880760189014680678517226271173576242744049349709197214631386091175025649807712218236319827790341747514350242894974086457021263479585249109466335666147834288491619301086357541108401378376277980734409449425831629348792978912306401650879238445813355699787061209849087654830692448480756970929742469050762800579930675371085507605784079449831599372270252776048059770301149964862932657422218885991907014474641920252855573414928503457978083557919863223832906758276789742767546558050182509320668921122041972986088270893304514267149036474587254531703482699224100463897927491700010071510170541373686796605308736230956902927581514561978342639238431190028762180948191471856392869893038247453701788223855929196815209177809075528267792156931605290487522580937504261328757999366582756025635765890589374502254069578408737502226720056933551823639537888161776418894634834221789554906699487208306415319531617450083732591473878372093696128487993081130363666470012188478205906007468}
19442  33816790083600904654019463389651358711614159641429353506008462702078861: {252577,272062,369037,388660,427438,466392,505102,524691,660382,737998,854788,893182,1088024,1182241,1224027,1320628,1435822,1457175,1554320,1748610,1865184,2019992,2039835,2055022,2098332,2107297,2175824,2272491,2286958,2364238,2428375,2447802,2595982,2914050,2951384,3108320,3204795,3320307,3418448,3496860,3645508,3715057,3729984,3787095,3845754,4039568,4057741,4137262,4196232,4285837,4399777,4486251,4544514,4573444,4720761,4758635,4951335,5058958,5281424,5340775,5365678,5710362,5825278,5941602,6408930,6437182,6661403,6666382,6798050,6836192,6971758,7048371,7112737,7353118,7690716,8157660,8230897,8701504,8722702,8787277,8798638,8834735,8950462,9022395,9516290,9623888,9711500,9789192,9860062,9894637,10465763,10576948,10601682,10616302,10826874,10842862,11012841,11419548,11496244,11653800,11816427,12430720,12507195,12621050,13110525,13341008,13475422,13594700,13667835,13700158,13789444,13984560,13999582,14036941,14067175,14579024,14821678,14916864,14951090,15008634,15145260,15407895,15567358,15732630,15930392,15962797,16154944,16313640,16385758,16401402,16435088,16682878,16695651,16781472,16880610,17022637,17401216,17404491,17443588,17498638,17720782,17726295,17921691,17941308,18005984,18174312,18284941,18352845,18489474,18598897,18801507,18879156,18908048,19421000,19536877,19576368,19617944,19713598,19718068,19787182,19875775,20256732,20446101,20448718,20675377,21087217,21271554,21358700,21532468,21548398,21568827,21848625,22023414,22070187,22111777,22417741,22644478,23305200,23676411,23850930,23937841,24003147,24172942,24245428,24318142,24535822,24544795,24858880,24942241,25131992,25242157,25440992,25622062,25630440,25677175,25740577,25911118,26138017,26218350,26230611,26435341,26560558,26633197,26640124,27208702,27339136,27397444,27421741,27640078,27966240,28037335,28205677,28273491,28429438,28575175,28621116,28715998,28834245,29177435,29289495,29453754,29830656,30049057,30059931,30535348,30625304,30643582,30657171,30756528,30812610,31104397,31242128,31462020,31485997,31709422,31851262,32053323,32718241,32866784,32906737,32913022,33547787,33559488,33644802,33844897,34041598,34124941,34275992,34290210,34453467,34601094,34674622,34775857,34868557,35012922,35025742,35053741,35147394,35155883,35187224,35521707,35699617,36158797,36286462,36325444,36576224,36775342,36975132,37071757,37211908,37333102,37754424,37977517,38057320,38237278,38517517,38560491,38696941,38793387,38948483,39000238,39277198,39423028,39585627,39899422,39911971,40043991,40525671,40739617,41148252,41346238,41682050,42101278,42169822,42473727,42498147,42628391,42657841,42785998,42814485,42916717,42945844,43332622,43734362,44354782,44558782,44634443,44762638,44964397,45138244,45288723,45385777,45441118,45668784,45779758,45843987,45889057,46472941,46625735,46860718,47062942,47399662,47798815,47803198,47870398,47925410,48195508,48263835,48898263,49474587,49878958,50018460,50094715,50142241,50222690,50381677,50478718,50779297,50969625,51289195,51377382,51409102,51481424,51569137,51900267,52204078,52265163,52270222,52468558,52662817,52740397,53097051,53194558,53260462,53281441,53290904,53353024,53665741,53835844,54169895,54181438,54200737,54367600,54576175,54702011,54837358,55233563,55410337,55426318,55640690,55752958,55950882,55986584,56156977,56305441,56472295,56773178,56822797,56845335,57094715,57120478,57358578,57479691,57509902,57510492,57916602,58353697,58932862,59356657,59711437,59952267,60022152,60032882,60091342,60113658,60267228,60635024,60678125,60973741,61138228,61163550,61372462,61547034,61802317,62201758,62348941,62361687,62477660,62823457,62964862,62984907,63025741,63210775,63227377,63495217,63763490,64027441,64170491,64260795,64484158,64489357,65003874,65241120,65399835,65429038,65491410,65617582,65635535,65743198,66307678,66683278,66768828,67374577,67437037,67524921,67535815,67619758,67766754,68043019,68124215,68179918,68180941,68214402,68242078,68487841,68513658,68544848,68914477,68924782,69387224,69490443,69577777,69590528,69667342,69759824,69857504,69876397,69967947,70173217,70275992,70409377,70961278,71342497,71391022,71518643,71697502,71746700,72140354,72143857,72145588,72223995,72248158,72310511,72313741,72426637,72492478,72797518,72813750,73153441,73223902,73319437,73396260,74074318,74775659,74973192,75830027,75852930,75938977,76093741,76196557,76503277,76516188,76857841,76966222,77038928,77112954,77208877,77258737,77384878,77395135,77668000,77897595,77949217,78041182,78060627,78145730,78192397,78279358,78289344,78479802,78589692,78721057,78762642,78905090,79060491,79131992,79486700,79520941,79597335,79821262,80057518,80234542,80480308,80618187,80890491,80909792,80970157,81042978,81104540,81307444,81488695,81586942,81624097,81749058,81752941,81762718,82113838,82595341,83086957,83090768,83163742,83295175,83328877,83400691,83512558,83922337,84034702,84124695,84193348,84344841,84461617,84786622,84875437,84903824,85134241,85244077,85334543,85389517,85761260,85823278,85942571,86096040,86099437,86134177,86167678,86203441,86246068,86339662,86655748,86668794,87044941,87053144,87376500,87464737,87752487,87824158,88051582,88075512,88478643,88795297,88965937,89023491,89078257,89253800,89259674,89516017,89733008,89749102,89773095,90011917,90087841,90199342,90367918,90409357,90505837,90577441,90624817,90704638,91001963,91023516,91090700,91343695,91364941,91543918,91672130,91735597,91767118,91834417,91835776,92156941,92268382,92389537,92458657,92509741,92560177,92572634,92874162,92879278,92934718,93100717,93198241,93201600,93432817,93477114,93481777,93493837,93517741,93576244,93610477,93655117,93765050,93774876,93870577,93889441,93996577,94038157,94095262,94123297,94205422,94225357,94305997,94354957,94359457,94396717,94414897,94453741,94486177,94489741,94494241,94497841,94686108,94788868,95015687,95267983,95358238,95364059,95384040,95516802,95577022,95595844,95757968,96139219,96671192,96730571,96858045,97325448,97372222,97642702,97786434,97934787,98411188,99084951,99149998,99257182,99347835,99415040,99954210,...,111368040674197662942988384309739077929952181991584543682548598649548958794626347399183700335012219778372608269952092352609693793138815760784942304951623024521786950856792578742246294588133655272617454038517911598915304811918855420730396932278297566018343736310068244861874633402755011686872365585345941121116901321915583123568056560849113055102273095472918416787622567747067726509932521665012875042588609000343053973224109699442592027581772504197763641950290167767284638444337742240056962995524060551701667601341367344765260547555985199625781951313367183706815029188359430685408884291530095191814960475641199844073307558565327405091387421259104994518779033401347263119460293304226775752683591752491952933213184664091073992743685624982816262264299396777878375014233647102791598069370559635273306444623739057035023761467517519896183929318274422509659385153494762460752193055924883747093811921661992256777169130639669473027164884417687917817027275876149166192869030000609701059976159560947134794717193032080072614159059219450200730559956961559630118630502636400820847715581929512113209480414247869064441737784880580992575588618886462151363614767923750143894996095554772347410514403999244593141634899376447812867616507991446418344827092906971047098094786935119407307117203373484753167760931912887190999958069428908114190946410540967201247534769549575871585417662801741703251705908369682529038921011888513903716799459830328234562287473573493739417113424389262440060902828024748098171423227301447167259176461410048565463453404880906314271330084150819723995195414740111504418137525128807192813130163490921336291171469843240583184796342637460175400223137165188604329581218960387042758242196903999009512123546419434836275479371341786947035047526562022682792795613348212781132892767974750604327180859171568167903013611438381032985012449322508507981475124694944894196655376393224805899597083850043980401299734294554493370050488431928441470123427536356189491836270956697825521072124506373334861223223139960989131471252597106347922434525768297724390175745882852359983589939331922576653943252795805854944808131527286296552118254310737811304025020321140283522021017775839406760364364116074024563795821947079136762538474711568327354479741685512621271525364342461129685531895219377873664199503499221751432737428951629536311662602067564416971101614174138747444023189468368459602476318857668720033549680591814773631482246038672721135456394613703576144200869896013056628261408676119174747399058405379164072089655451724947294398986133328328987860521711962880379283360122392755186967125336879794835749360137415184614151319837075273763981003381683062959479132406339956771400723554711880881797555224048836150695846891237550015107265255812060530194907963104346435354391372271842967513958857646785043143271422287207784589304839557371180552682335783893795222813766713613292401688235397407935731283871406256391993136999049874134038453648835884061753381104367613106253340080085400327735459306832242664628341952251332684332360049230812459622979297426175125598887210817558140544192731989621695545499705018282717308859011202}
19443  33949848451618993001351965060760080019756167769453223469872391388780739: {38882,408093,485825,582990,621856,641157,699588,757653,952021,990573,1068485,1106997,1282182,1339773,1360030,1632036,1650785,1767493,1903846,1942900,1980942,2153733,2331480,2349941,2486912,2524990,2582461,2622915,2719780,2797776,2991142,3029988,3082533,3147498,3263736,3281473,3430437,3534622,3546357,3671703,3689230,3885400,3893973,4273060,4371075,4427076,4556885,4621246,4662480,4973312,5049460,5127672,5245290,5468262,5553262,5594976,5716805,5768631,5981668,6059352,6189557,6205893,6294348,6601780,6816771,6860166,7586573,7588437,7613816,7922136,8048517,8420902,8545240,8565543,8737917,8745341,8912403,9397828,9613395,9655773,9999573,10197075,10254288,10457637,10837333,10876880,11029677,11297957,11536074,11673382,12029860,12139375,12236490,12573077,12756646,12933797,13052256,13084053,13197957,13221185,13425693,13629061,13939093,14008966,14135576,14274435,14370305,14380702,14435832,14567250,14683788,14790093,15226064,15483821,15538400,15755236,15834277,15865422,15902523,15924453,16240311,16264293,16544542,16676260,16993375,17129322,17165701,17236805,17244366,17455073,17480700,18223780,18274397,18340102,18625141,18646080,18654142,18931575,19889152,19912990,20011512,20193680,20213133,20392050,20543860,20550237,20666542,20684166,20942213,20976840,20999373,21751520,21804485,21868536,21990493,22232517,22260868,22375296,22426635,22507480,22512951,22717890,22842598,23034497,23205988,23351037,23598945,23635060,23683582,23895588,23921744,24013517,24232416,24276250,24378913,24388846,24470460,24522430,24578637,24602103,24647585,24652632,25024317,25068676,25172208,25320915,26101824,26165382,26247957,26581173,26698375,26797141,26911962,26915585,27008976,27261468,27336862,27645862,27734211,27812741,28318734,28335022,28362072,28758436,29131500,29364552,29426916,29570397,29577102,29680773,29991493,30195598,30306785,30385098,30673077,30788821,31073600,31414990,31568548,31665286,31801240,31907331,32004196,32038050,32298702,32322597,32986462,33035121,33300155,33966717,34173920,34246805,34847038,34957800,34974148,35141261,35776395,36259413,36368142,36477213,36649877,36803733,37246438,37288320,37697988,38161488,38169185,38281630,38433093,38445660,38866677,39052660,39271672,39327525,39336193,39774208,39840837,39960186,40079908,40813053,40826773,40876228,41008704,41083480,41096166,41256622,41460117,41949360,42644157,42737764,42844990,42931674,43073997,43984030,44180631,44441662,44745984,44859736,44878037,44924081,45046246,45292897,45406805,45720280,45803022,45937956,45965373,46134792,46218915,46514885,46629541,46683896,46863192,47193030,47346517,47362276,47564133,47571650,47776893,48265633,48988261,49278785,49300176,49369533,49750597,50339232,50467203,51062397,51413988,51435315,51724516,51901641,52011933,52218433,52519383,52538613,52717717,52721091,52780836,52958741,53055646,53391988,53682305,54034228,54429693,54488166,54676301,54750046,54864336,55163013,55294237,55462698,55681093,55698373,55817862,55999653,56422805,56631636,56664196,56703317,57085980,57355917,57473461,58117757,58500357,58915797,59134542,59849133,59976742,60244385,60384964,60713821,60891712,61039846,61125316,61491493,61653637,61684997,61722378,62019357,62523075,63151917,63249377,63254733,63731902,64178997,64351780,64418766,64998933,65197684,65384206,65412941,65601543,65742557,65966116,66532173,66568942,66613630,66691280,66838173,67143957,67294805,67409062,67707366,67959500,68161677,68503176,68669637,69091462,69200356,69240493,69300001,69686884,69710446,69983230,70291077,70520077,70594413,70796068,71099493,71704797,71805597,71888115,72293262,72697397,72704422,74083757,74290846,74601176,74818437,75027690,75319277,75334035,75614566,75718077,75793780,76171501,76422785,76478104,76639588,76649518,76680656,77024917,77066073,77113653,77222136,78097075,78306117,78405333,78516382,78702837,79791837,79890693,79925441,79936356,80029536,80151544,80356304,80753766,81272157,81551400,81680302,82062712,82256037,82912846,83047357,83139477,83148916,83461035,83629437,83788222,83926323,83945741,83979876,84193318,84587293,85159767,85677773,85680717,85681060,85982977,86037867,86264853,86265738,86570497,86671832,86678101,86734030,86874903,86988160,87199780,87321880,87604961,87630917,87838957,87844990,88399293,88583806,89025104,89214598,89365937,89584846,89683375,90033228,90049323,90083741,90137013,90170487,90181985,90355672,90400842,90952536,91042817,91351544,91707342,91745325,92058693,92320551,92653924,92724646,93290596,93302637,93716490,93864277,94229542,94298302,94447293,94516997,95530942,95645235,96298660,96726237,96815326,97004381,97085000,97265197,97296341,97505811,97861680,98143557,98237115,98426373,98501182,98614797,98914990,98947582,98980021,99090181,99358375,99461517,99964256,...,167052061011296494414482576464608616894928272987376815523822897974323438191939521098775550502518329667558912404928138528914540689708223641177413457427434536782680426285188868113369441882200482908926181057776867398372957217878283131095595398417446349027515604465102367292811950104132517530308548378018911681675351982873374685352084841273669582653409643209377625181433851620601589764898782497519312563882913500514580959836164549163888041372658756296645462925435251650926957666506613360085444493286090827552501402012051017147890821333977799438672926970050775560222543782539146028113326437295142787722440713461799766109961337847991107637081131888657491778168550102020894679190439956340163629025387628737929399819776996136610989115528437474224393396449095166817562521350470654187397104055839452909959666935608585552535642201276279844275893977411633764489077730242143691128289583887325620640717882492988385165753695959504209540747326626531876725540913814223749289303545000914551589964239341420702192075789548120108921238588829175301095839935442339445177945753954601231271573372894268169814220621371803596662606677320871488863382928329693227045422151885625215842494143332158521115771605998866889712452349064671719301424761987169627517240639360456570647142180402679110960675805060227129751641397869330786499937104143362171286419615811450801871302154324363807378126494202612554877558862554523793558381517832770855575199189745492351843431210360240609125670136583893660091354242037122147257134840952170750888764692115072848195180107321359471406995126226229585992793122110167256627206287693210789219695245236382004436757204764860874777194513956190263100334705747782906494371828440580564137363295355998514268185319629152254413219057012680420552571289843034024189193420022319171699339151962125906490771288757352251854520417157571549477518673983762761972212687042417341294983064589837208849395625775065970601949601441831740055075732647892662205185141304534284237754406435046738281608186759560002291834834709941483697206878895659521883651788652446586585263618824278539975384908997883864980914879193708782417212197290929444828177381466106716956037530481710425283031526663759110140546546174111036845693732920618705143807712067352491031719612528268931907288046513691694528297842829066810496299255248832627149106143427444304467493903101346625456652421261208121166034784202552689403714478286503080050324520887722160447223369058009081703184591920555364216301304844019584942392113014178762121098587608068746108134483177587420941598479199992493481790782567944320568925040183589132780450688005319692253624040206122776921226979755612910645971505072524594439218698609509935157101085332067821322696332836073254226043770336856325022660897883718090795292361944656519653031587058407764451270938286470177564714907133430811676883957259336056770829023503675840692834220650070419938602532353096111903596925807109384587989705498574811201057680473253826092630071656551419659380010120128100491603188960248363996942512928376999026498540073846218689434468946139262688398330816226337210816289097984432543318249557527424075963288516803}
19444  34083426632296129849666283140401028172155130984912015241408279951684022: {58323,213763,330259,446683,505154,544124,738074,777320,795523,854876,874485,932784,1010204,1027723,1049382,1320764,1375483,1475996,1709576,1786364,1923273,2040045,2176048,2364482,2428625,2448054,2641256,2855769,2871644,2914350,2971413,3108640,3399725,3497220,3730368,3787485,4039984,4079670,4110044,4196664,4214594,4351648,4476163,4486713,4544982,4573916,4721247,4728476,4856750,4895604,5044603,5191964,5301933,5341325,5384803,5533845,5828100,5902768,6216640,6311825,6409590,6640614,6662089,6836896,6931869,6993720,7291016,7430114,7459968,7477085,7574190,7691508,7867935,8079136,8115482,8194603,8202393,8252225,8274524,8329893,8392464,8417443,8571674,8799554,8972502,9089028,9146888,9441522,9517270,9902670,10117916,10290249,10562848,10681550,10731356,11420724,11650556,11747285,11883204,12052723,12161659,12368629,12631353,12817860,12874364,13138843,13322806,13332764,13596100,13672384,13894843,13943516,14096742,14225474,14432683,14706236,15037325,15381432,15396259,15929059,16315320,16461794,17304111,17403008,17411323,17445404,17510073,17574554,17597276,17669470,17900924,18044790,18147163,18354735,18983803,19032580,19134969,19247776,19423000,19578384,19694045,19720124,19789274,20023123,20230123,20845325,20931526,21013449,21153896,21203364,21232604,21571053,21653748,21671059,21685724,21773443,21850875,22025682,22779725,22839096,22992488,23307600,23604043,23632854,23798133,24711259,24816813,24861440,25014390,25242100,25679825,25693983,25866549,26221050,26682016,26702059,26950844,27189400,27293683,27335670,27400316,27510153,27578888,27784723,27826085,27969120,27981213,27999164,28073882,28134350,28664059,29007485,29150059,29158048,29543825,29643356,29833728,29869485,29902180,30017268,30116659,30290520,30588075,30815790,30999813,31026249,31134716,31335845,31465260,31553059,31860784,31925594,32309888,32501659,32627280,32771516,32802804,32870176,32879083,33365756,33391302,33562944,33761220,34045274,34076835,34263897,34362713,34470283,34802432,34808982,34887176,34997276,35304259,35441564,35452590,35525373,35843382,35882616,35948045,36011968,36348624,36414375,36569882,36583269,36589963,36705690,36783645,36978948,37197794,37227523,37603014,37758312,37816096,38132203,38492059,38842000,39073754,39152736,39235888,39248073,39252269,39427196,39436136,39460685,39574364,39751550,40005245,40185643,40367943,40513464,40848409,40892202,40897436,41005293,41066563,41154259,41241883,41350754,41468793,42174434,42478101,42502533,42543108,42717400,42979243,43064936,43096796,43137654,43697250,43717685,44046828,44093083,44140374,44223554,44263363,44365653,44603059,44607497,44835482,45288956,45293397,45577647,45782923,45950323,46610400,47114059,47122485,47168693,47352822,47497929,47701860,47875682,47936659,48006294,48057075,48345884,48448053,48490856,48636284,48752059,48815825,48833203,49071644,49089590,49479693,49479763,49640683,49717760,49884482,50099885,50263984,50440963,50484314,50881984,51095285,51244124,51260880,51354350,51481154,51822236,51863323,52254283,52270557,52276034,52436700,52461222,52643443,52721059,52870682,53121116,53266394,53280248,53422205,53876659,54182083,54417404,54552213,54678272,54794888,54843482,55280156,55869657,55932480,56074670,56411354,56510059,56546982,56858876,57150350,57242232,57422445,57431996,57668490,57902683,57975259,58354870,58578990,58907508,58983763,59202845,59411659,59482723,59661312,59940279,60098114,60119862,60189403,60819259,61070696,61166659,61250608,61287164,61314342,61513056,61625220,61644249,61787443,61884933,62208794,62484256,62924040,62971994,63418844,63548059,63702524,64106646,64146163,64212259,64267485,64397511,64655645,64803883,64934563,65276029,65436482,65519059,65733568,65813474,65826044,65976045,66097723,66662493,66739985,66918341,67095574,67118976,67174843,67289604,67542785,67569369,67689794,67736659,68083196,68249882,68551984,68580420,68704533,68906934,69024883,69202188,69206323,69326923,69349244,69507283,69551714,69737114,70025844,70051484,70107482,70132601,70163059,70294788,70311766,70374448,70458259,70789545,70830245,71043414,71357475,71399234,71804873,72317594,72417883,72572924,72650888,72735641,73152448,73550684,73950264,74143514,74402059,74423816,74666204,75481205,75508848,75725059,75777043,75837853,75955034,76114640,76406645,76474556,76497259,76952803,77035034,77120982,77393882,77586774,77896966,78000476,78284443,78554396,78846056,79061213,79171254,79583469,79656259,79798844,79823942,79932601,80087982,80414477,80439725,80522203,80567059,81011659,81051342,81479234,81492403,81497105,81622003,81732249,82125069,82133923,82296504,82457645,82511059,82692476,82923259,82964083,83194047,83364100,83726793,84077923,84202556,84270883,84339644,84462043,84947454,84949375,84996294,85098523,85256782,85315682,85390843,85571996,85628970,85833434,85891688,85926523,85996723,86170963,86500445,86649259,86665244,86816659,86949283,87108605,87340243,87468724,87752083,88121443,88391659,88495085,88568563,88701813,88709564,88800403,89117564,89268886,89277763,89387059,89525276,89655259,89760523,89786659,89916259,89928794,89965113,90195043,90276488,90537259,90577446,90771554,90882236,90911083,91337568,91559516,91559769,91687974,91778114,91863643,91889749,91960483,92111683,92294203,92417683,92583567,92735059,92945882,93212537,93251470,93251659,93395803,93578323,93721436,93723403,93734059,94011763,94125884,94215883,94266283,94322803,94333243,94348363,94372123,94398259,94436059,94476883,94499059,94515259,94550141,94742225,94799324,95373901,95597630,95597853,95606396,95740796,95799485,95850820,96149141,96391016,96527670,96628149,97796526,98076309,98564453,98949174,99757916,99853413,99920445,...,222736081348395325885976768619478155859904363983169087365097197299097917589252694798367400670024439556745216539904184705219387586277631521569884609903246049043573901713585157484492589176267310545234908077035823197830609623837710841460793864556595132036687472620136489723749266805510023373744731170691882242233802643831166247136113121698226110204546190945836833575245135494135453019865043330025750085177218000686107946448219398885184055163545008395527283900580335534569276888675484480113925991048121103403335202682734689530521095111970399251563902626734367413630058376718861370817768583060190383629920951282399688146615117130654810182774842518209989037558066802694526238920586608453551505367183504983905866426369328182147985487371249965632524528598793555756750028467294205583196138741119270546612889247478114070047522935035039792367858636548845019318770306989524921504386111849767494187623843323984513554338261279338946054329768835375835634054551752298332385738060001219402119952319121894269589434386064160145228318118438900401461119913923119260237261005272801641695431163859024226418960828495738128883475569761161985151177237772924302727229535847500287789992191109544694821028807998489186283269798752895625735233015982892836689654185813942094196189573870238814614234406746969506335521863825774381999916138857816228381892821081934402495069539099151743170835325603483406503411816739365058077842023777027807433598919660656469124574947146987478834226848778524880121805656049496196342846454602894334518352922820097130926906809761812628542660168301639447990390829480223008836275050257614385626260326981842672582342939686481166369592685274920350800446274330377208659162437920774085516484393807998019024247092838869672550958742683573894070095053124045365585591226696425562265785535949501208654361718343136335806027222876762065970024898645017015962950249389889788393310752786449611799194167700087960802599468589108986740100976863856882940246855072712378983672541913395651042144249012746669722446446279921978262942505194212695844869051536595448780351491765704719967179878663845153307886505591611709889616263054572593104236508621475622608050040642280567044042035551678813520728728232148049127591643894158273525076949423136654708959483371025242543050728684922259371063790438755747328399006998443502865474857903259072623325204135128833942203228348277494888046378936736919204952637715337440067099361183629547262964492077345442270912789227407152288401739792026113256522817352238349494798116810758328144179310903449894588797972266656657975721043423925760758566720244785510373934250673759589671498720274830369228302639674150547527962006763366125918958264812679913542801447109423761763595110448097672301391693782475100030214530511624121060389815926208692870708782744543685935027917715293570086286542844574415569178609679114742361105364671567787590445627533427226584803376470794815871462567742812512783986273998099748268076907297671768123506762208735226212506680160170800655470918613664485329256683904502665368664720098461624919245958594852350251197774421635116281088385463979243391090999410036565434617718022404}
19445  34217526641877247419268701863179789417593092552420047232005155092745832: {77764,680155,757731,816186,971650,1068595,1107111,1165980,1243712,1262755,1282314,1399176,1495879,1515306,1574073,1650955,1844995,1904042,1981146,2136970,2213994,2232955,2311099,2350183,2564364,2679546,2720060,2777203,3264072,3301570,3534986,3546723,3589555,3630979,3672081,3807692,3885800,3961884,4307466,4371525,4662960,4699882,4973824,5049980,5137555,5164922,5245830,5439560,5595552,5717395,5910595,5982284,6059976,6119505,6165066,6294996,6321891,6379639,6489955,6527472,6562946,6616423,6817473,6860874,7069244,7092714,7285125,7314931,7343406,7378460,7770800,7787946,8003527,8479111,8546120,8742150,8854152,9113770,9171943,9242492,9324960,9614385,9946624,9960921,10023079,10098920,10255344,10335403,10343155,10490580,10936524,11106524,11145171,11189952,11299123,11361285,11433610,11537262,11963336,12118704,12173223,12196939,12379114,12411786,12588696,12647395,12857511,12999283,13199331,13203560,13352131,13414195,13458753,13512739,13633542,13720332,13825783,14162283,14275905,14563195,14854005,14859091,15173146,15176874,15227632,15485419,15844272,16022325,16092955,16097034,16304467,16665955,16841804,16995125,17090480,17131086,17305447,17429395,17475834,17490682,17824806,18276283,18382795,18509659,18795656,19165831,19226790,19311546,19508611,19984209,19999146,20118427,20394150,20508576,20793667,20915274,21145113,21338211,21478963,21674666,21753760,21806755,21996595,22059354,22376155,22595914,23072148,23346764,23790725,24059720,24131527,24158131,24278750,24472980,24623083,24650155,24692691,25146154,25513292,25867594,26104512,26168106,26361831,26395914,26442370,26504205,26540755,26851386,27067185,27107155,27258122,27878186,28017932,28271152,28379611,28548870,28740610,28761404,28871664,29134500,29367576,29580186,29683911,30452128,30526279,30967642,31076800,31397289,31510472,31552625,31668554,31730844,31805046,31848906,32480622,32528586,32869603,33038523,33089084,33352520,33688555,33986750,34250395,34258644,34331402,34473610,34488732,34506619,34910146,34961400,34998955,35393479,35449281,35798107,36447560,36548794,36680204,37054195,37250282,37292160,37308284,37377725,37521585,37681819,37863150,38918395,39275527,39331575,39574651,39778304,39825980,40023024,40387360,40426266,40784100,40964395,41003505,41087720,41100474,41333084,41368332,41670859,41686579,41707195,41884426,41953680,41998746,42110823,42201525,42429499,43313491,43503040,43608970,43737072,43746595,43980986,44301955,44465034,44521736,44750592,44853270,45014960,45025902,45435780,45579907,45685196,45766711,46068994,46223685,46411976,46534531,46620217,46702074,47124583,47197890,47270120,47367164,47791176,47843488,47888391,47945527,47959879,48027034,48464832,48552500,48757826,48777692,48940920,49044860,49157274,49204206,49283995,49295170,49305264,49467955,50048634,50086953,50137352,50184091,50209267,50344416,50641830,51067911,51121795,52203648,52213473,52330764,52495914,52964263,53162346,53178885,53396750,53436859,53594282,53765073,53823924,53831170,53870995,54017952,54344347,54522936,54673724,54854823,55058535,55291724,55468422,55625482,55796691,56278363,56404521,56611195,56637468,56670044,56724144,57124903,57516872,58263000,58371379,58574707,58610631,58729104,58853832,59140794,59154204,59361546,59627325,59915827,59982986,60391196,60432355,60454291,60613570,60770196,60795355,61108807,61338303,61339555,61346154,61577642,61691443,62026131,62147200,62462539,62587603,62829980,63137096,63261651,63330572,63569527,63602480,63617467,63814662,64008392,64055155,64076100,64404619,64597404,64645194,64706481,64777795,65120839,65545875,65833603,65972924,66048571,66070242,66210561,66335331,66401395,66600310,67013011,67253223,67611403,67933434,68021755,68347840,68493610,68949511,68990299,69100195,69694076,69915600,69948296,70282522,71029233,71041387,71073595,71552790,71731447,71789995,71813523,72009441,72201991,72518826,72736284,72855079,72900451,72954426,73299754,73607466,73634385,74091523,74492876,74576640,74745211,74826723,75155227,75395976,75726471,76322976,76338370,76368007,76412659,76563260,76591771,76608955,76866186,76891320,77031525,77221731,77306203,77733354,78105320,78414051,78543344,78655050,78672386,78691833,78991927,79273555,79306023,79548416,79628155,79681674,79899591,79920372,80159816,80261863,80769547,81508123,81626106,81653546,81752456,82017408,82166960,82192332,82265223,82282555,82513244,82920234,83134579,83252707,83824243,83898720,84112005,84342139,84481783,84617031,84820473,84940291,85103995,85288314,85475528,85689980,85725525,85863348,86147994,86502735,86686555,87532305,87553531,87564355,87686227,87868485,87968060,87993259,88049203,88256299,88361262,88883324,89013691,89491968,89719472,89756074,89848162,90092492,90147171,90179793,90501763,90585794,90716155,90813610,91440560,91606044,91875912,91930746,91938355,91971513,92269584,92437830,93029770,93222907,93230983,93259082,93313191,93332755,93367792,93725251,93726384,94212727,94386060,94457991,94693034,94724552,95128266,95143300,95553786,95593195,95757511,96159969,96212083,96531266,97500595,97720963,97911427,97976522,98154723,98192995,98557570,98600352,98720211,98739066,98817547,99208603,99501194,99748555,99792499,99859267,...,334104122022592988828965152929217233789856545974753631047645795948646876383879042197551101005036659335117824809856277057829081379416447282354826914854869073565360852570377736226738883764400965817852362115553734796745914435756566262191190796834892698055031208930204734585623900208265035060617096756037823363350703965746749370704169682547339165306819286418755250362867703241203179529797564995038625127765827001029161919672329098327776082745317512593290925850870503301853915333013226720170888986572181655105002804024102034295781642667955598877345853940101551120445087565078292056226652874590285575444881426923599532219922675695982215274162263777314983556337100204041789358380879912680327258050775257475858799639553992273221978231056874948448786792898190333635125042700941308374794208111678905819919333871217171105071284402552559688551787954823267528978155460484287382256579167774651241281435764985976770331507391919008419081494653253063753451081827628447498578607090001829103179928478682841404384151579096240217842477177658350602191679870884678890355891507909202462543146745788536339628441242743607193325213354641742977726765856659386454090844303771250431684988286664317042231543211997733779424904698129343438602849523974339255034481278720913141294284360805358221921351610120454259503282795738661572999874208286724342572839231622901603742604308648727614756252988405225109755117725109047587116763035665541711150398379490984703686862420720481218251340273167787320182708484074244294514269681904341501777529384230145696390360214642718942813990252452459171985586244220334513254412575386421578439390490472764008873514409529721749554389027912380526200669411495565812988743656881161128274726590711997028536370639258304508826438114025360841105142579686068048378386840044638343398678303924251812981542577514704503709040834315143098955037347967525523944425374084834682589966129179674417698791251550131941203899202883663480110151465295785324410370282609068568475508812870093476563216373519120004583669669419882967394413757791319043767303577304893173170527237648557079950769817995767729961829758387417564834424394581858889656354762932213433912075060963420850566063053327518220281093092348222073691387465841237410287615424134704982063439225056537863814576093027383389056595685658133620992598510497665254298212286854888608934987806202693250913304842522416242332069568405105378807428956573006160100649041775444320894446738116018163406369183841110728432602609688039169884784226028357524242197175216137492216268966355174841883196958399984986963581565135888641137850080367178265560901376010639384507248080412245553842453959511225821291943010145049188878437397219019870314202170664135642645392665672146508452087540673712650045321795767436181590584723889313039306063174116815528902541876572940355129429814266861623353767914518672113541658047007351681385668441300140839877205064706192223807193851614218769175979410997149622402115360946507652185260143313102839318760020240256200983206377920496727993885025856753998052997080147692437378868937892278525376796661632452674421632578195968865086636499115054848151926577033606}
19446  34352150504372047357688859141772818976755147086265453427021575139892595: {97205,116646,252629,330293,369113,427526,446729,563093,660518,834329,893366,1010308,1088248,1143833,1224279,1298393,1414229,1457475,1476148,1554640,1591046,1709752,1748970,1865568,1923471,2020408,2055446,2098764,2184629,2272959,2453513,2641528,2645333,2750966,2856063,2951992,2971719,3028373,3205455,3320991,3334229,3400075,3419152,3448793,3572728,3792053,3846546,4019319,4080090,4352096,4362713,4476629,4590473,4728964,4759615,4857250,4896108,4952355,5045129,5282512,5302479,5423129,5711538,5743288,5828700,5875673,5942826,6217280,6312475,6461199,6799450,6852233,6994440,7001993,7049823,7114229,7460736,7477855,7574970,7747383,7786133,7868745,8079968,8159340,8220088,8232629,8393328,8429188,8703296,8836555,8863193,8952326,8973426,9089964,9147832,9223075,9233033,9247599,9442494,9454553,9456952,9713500,9791208,9844419,10089206,10291311,10337753,10383928,10467919,10603866,10639071,10682650,10769606,10887413,11015109,11067690,11070233,11435273,11553115,11656200,11681919,11805536,12090329,12271829,12380633,12433280,12623650,12634229,12819180,13113225,13281228,13324178,13608713,13670655,13673792,13716629,13863738,13883155,13987440,14582032,14860228,14919936,14954170,15077333,15148380,15383016,15433493,15735870,15859829,15966233,16037129,16158272,16230964,16389206,16404786,16446199,16504450,16549048,16659786,16784928,16814873,16834886,17143348,17150415,17202293,17305893,17599108,17623829,17945004,18178056,18293776,18568671,18617679,18672629,18777113,18883044,19020629,19034540,19298453,19805340,20059829,20235832,20450313,20473493,20580498,21052255,21125696,21363100,21462712,21775829,22116629,22184693,22286729,22388693,22759719,22765311,22841448,23201813,23301112,23494570,23539253,23640329,23766408,23909513,24043913,24105446,24145551,24323318,24737258,25247753,25262706,25635720,25696629,25748728,25812629,26213751,26236023,26243033,26277686,26645612,26665528,26705033,26737209,26737973,27192200,27296729,27344768,27571663,27624329,27789686,27887032,28193484,28277129,28450948,28667273,28699733,28840185,28861913,28865366,28967319,29183455,29412472,29476373,29573129,29998719,30074650,30120053,30152153,30312533,30591225,30696629,30762864,30792518,31372911,31397813,31556633,31588373,31858118,31891615,32126729,32505353,32511999,32630640,32819993,32914229,32923588,32977013,33089031,33446873,33893871,34101653,34567193,34608222,34806016,34822646,34845653,34890808,34938329,35020146,35022415,35149108,35194552,35308313,35338940,35339093,35707829,35801848,35861129,35951755,35953013,36089580,36228233,36294326,36418125,36624629,36709470,36867893,37231829,37719231,37967606,38046473,38065160,38269938,38495552,38496533,38526473,38586329,38801391,38846000,38956519,39156768,39242633,39252159,39388090,39440248,39569333,39578548,39593871,39663555,40013273,40046246,40131353,40277079,40460246,40610479,40807829,40887183,40895753,41159093,41361355,41690650,41771033,41817279,41863052,41887193,42026898,42307792,42406728,42408329,42465208,42823305,42984329,43110915,43142106,43185173,43307496,43342118,43371448,43546886,43701750,43870183,44041493,44051364,44370279,44636633,44975129,45031433,45200153,45559450,45678192,45850255,45955829,45984976,46451463,46456373,46567253,46615200,46635355,47202329,47208086,47265708,47502831,47596266,47696393,47707569,47773359,48215093,48351113,48703829,48720933,48792879,48920213,49324553,49422518,49593113,49633626,49722880,49782475,50028780,50327263,50447129,50484200,50980125,51359650,51387966,51497103,51666355,51710415,51733098,52208693,52364693,52365219,52442100,52675829,52717951,52727573,52753433,53364032,53371673,53404118,53525513,53832329,53901688,54036233,54214229,54378800,54417173,54587366,54671340,54720629,54800632,54823191,55020306,55157776,55244959,55569446,55652170,55744819,55875423,55938240,55962426,55998328,56007343,56146313,56147764,56220629,56268700,56294873,56517173,56541833,56794725,57106495,57326729,57328118,57497333,57570329,57764633,57934229,58014970,58224053,58300118,58316096,58368533,58488713,59062793,59087650,59205593,59208955,59286712,59419253,59490329,59667456,59738970,59804360,60034536,60197129,60233318,60361013,60581040,60639399,60690625,60850313,60972115,61176150,61204759,61306075,61631580,61650711,61818329,61864073,61999626,62001113,62052498,62269432,62614229,62671690,62826639,62930520,62998119,63106118,63221513,63288629,63355673,63556373,63578633,63721568,63778613,63851188,64242713,64352693,64615829,64619776,64681433,64834229,65003318,65095253,65254560,65413455,65543032,65549273,65605608,65740352,65758166,65807129,65914229,65971479,66697551,66731512,66782604,66869129,67125888,67279905,67330073,67434293,67496729,67522440,67538853,67766453,67952393,68090548,68153670,68322329,68342155,68527794,68725426,68791253,68933129,68940566,69094793,69103491,69114655,69536729,69596693,69604864,69617964,69636629,69774352,69994552,70053111,70139839,70192373,70231829,70428629,70467893,70608518,70796835,70837555,70883128,70905180,71050746,71169173,71304329,71362133,71533399,71686764,71688329,71765232,71821973,71896090,71917193,72023936,72040551,72220553,72314933,72446729,72596873,72697248,72783833,72828750,72951413,73136739,73139764,73155353,73166538,73179926,73339913,73411380,73567290,73651829,73735911,73806309,73942755,73957896,74052053,74395588,74455046,74734229,74791087,74947253,75000329,75072951,75206028,75488995,75516624,75632192,75960629,75962745,75995093,76166933,76264406,76269653,76525193,76559129,76984118,77231129,77281013,77314229,77684000,77857673,77922953,78004373,78147508,78215129,78263573,78305472,78471776,78488693,78496146,78504538,78537475,78648533,78743871,78744053,78854392,78872272,78921370,79148728,79163215,79248629,79357913,79503100,79528853,79683413,79743519,79760393,80010490,80095125,80096729,80371286,80391423,80735886,80746755,80891093,81023753,81026928,81257993,81648629,81696818,81784404,81794872,82010586,82104053,82133126,82244693,82308518,82328693,82466155,82483766,82565129,82606613,82701508,82730633,82812953,82883983,82937586,83071733,83112329,83179829,83202633,83438223,83474453,83974229,84335093,84348868,84449753,84487829,84956202,85005066,85013333,85086216,85331573,85416329,85434800,85596629,85951829,85958486,85960303,86129872,86149913,86184629,86193592,86275308,86322773,86357129,86391413,86561753,86606873,86795599,86841653,86897033,86941193,87117595,87192629,87394500,87435370,87493013,87672329,88054613,88093656,88135829,88186166,88206473,88266713,88280748,88386329,88447108,88526726,88583129,88651253,88711191,88731306,88824629,88900853,89042319,89206118,89214994,89411033,89492213,89537033,89626073,89670964,89696729,89758133,89810453,89853833,89957129,89974479,90059273,90193673,90317813,90456329,90517903,90552713,90577912,90586794,90671573,90796373,90920355,90949493,91039829,91091993,91155294,91282313,91311113,91389653,91439129,91565846,91598933,91747829,91879829,91900646,91957493,92019231,92052953,92115593,92316629,92366463,92422613,92434229,92474633,92503253,92593493,92659829,92687129,92725013,92751833,92757173,92836313,92898329,92959193,93116095,93130133,93144329,93191129,93220800,93273353,93295733,93378953,93435979,93475829,93504473,93516629,93564533,93645593,93653129,93697673,93719513,93755273,93772853,93837833,93912629,93968213,94032629,94152329,94159733,94188629,94216373,94228118,94234229,94244970,94249433,94262153,94266329,94337386,94337813,94343129,94392329,94417013,94454933,94456073,94474229,94477193,94485653,94502873,94518233,94524629,94527893,94530329,94534613,94534793,94536053,94559899,94705644,94995858,95035291,95403720,95704075,95721993,95751364,95873318,96012588,96114150,96691768,96896106,96967791,96981712,97272568,97504118,97631650,97666406,98143288,98179180,98959386,98959526,99105363,99162343,99281366,99435520,99768964,99900465,...,501156183033889483243447729393825850684784818962130446571468693922970314575818563296326651507554989002676737214784415586743622069124670923532240372282303610348041278855566604340108325646601448726778543173330602195118871653634849393286786195252339047082546813395307101878435850312397552590925645134056735045026055948620124056056254523821008747960228929628132875544301554861804769294696347492557937691648740501543742879508493647491664124117976268889936388776305754952780872999519840080256333479858272482657504206036153051443672464001933398316018780910152326680667631347617438084339979311885428363167322140385399298329884013543973322911243395665972475334505650306062684037571319869020490887076162886213788199459330988409832967346585312422673180189347285500452687564051411962562191312167518358729879000806825756657606926603828839532827681932234901293467233190726431073384868751661976861922153647478965155497261087878512628622241979879595630176622741442671247867910635002743654769892718024262106576227368644360326763715766487525903287519806327018335533837261863803693814720118682804509442661864115410789987820031962614466590148784989079681136266455656875647527482429996475563347314817996600669137357047194015157904274285961508882551721918081369711941426541208037332882027415180681389254924193607992359499811312430086513859258847434352405613906462973091422134379482607837664632676587663571380675144553498312566725597569236477055530293631080721827377010409751680980274062726111366441771404522856512252666294076345218544585540321964078414220985378678688757978379366330501769881618863079632367659085735709146013310271614294582624331583541868570789301004117243348719483115485321741692412089886067995542804555958887456763239657171038041261657713869529102072567580260066957515098017455886377719472313866272056755563561251472714648432556021951288285916638061127252023884949193769511626548186877325197911805848804325495220165227197943677986615555423913602852713263219305140214844824560278680006875504504129824451091620636686978565650955365957339759755790856472835619926154726993651594942744637581126347251636591872788334484532144398320150868112591445131275849094579991277330421639638522333110537081198761856115431423136202057473095158837584806795721864139541075083584893528487200431488897765746497881447318430282332913402481709304039876369957263783624363498104352607658068211143434859509240150973562663166481341670107174027245109553775761666092648903914532058754827176339042536286363295762824206238324403449532762262824795437599977480445372347703832961706775120550767398341352064015959076760872120618368330763680939266838731937914515217573783317656095828529805471303255996203463968088998508219762678131311010568975067982693651154272385877085833969558959094761175223293353812814859410532694144721400292435030651871778008170312487070511027522078502661950211259815807597059288335710790777421328153763969116495724433603173041419761478277890214969654258978140030360384301474809566880745091990827538785130997079495620221538656068303406838417788065194992448679011632448867293953297629954748672582272227889865550409}
19447  34487300251584690033614573811892004160961333260730598642132686476391820: {19447,155528,174969,641289,952217,990777,1262885,1340049,1360310,1496033,1515462,1632372,1767857,1845185,1943300,2137190,2214222,2311337,2331960,2386569,2487424,2525510,2564628,2582993,2623455,2777489,2798352,2991758,3030612,3083169,3126137,3148146,3282149,3301910,3689990,3808084,3962292,4058153,4126449,4273940,4291157,4427988,4465910,4622198,4700366,5025377,5128728,5359092,5440120,5554406,5769819,5911205,6120135,6528144,6603140,7069972,7093446,7179110,7192577,7261958,7285875,7344162,7615384,7771600,7819409,7923768,8004353,8274833,8567307,8614932,8743050,8914239,9085937,9325920,9399764,9947648,10099960,10199175,10275110,10329844,10491660,10536485,10839569,10879120,11191104,11362455,11434790,11821190,11845457,11964568,12119952,12141875,12239010,12330132,12589992,12643782,12759278,12979910,13054944,13125892,13232846,13353509,13428489,13460139,13631873,13634946,13721748,14138488,14163741,14171897,14185428,14480417,14570250,14629862,14686812,14756920,15102473,15133809,15362789,15541600,15575892,15905799,16007054,16023975,16154409,16498337,16601535,16958222,17092240,17307233,17428913,17484300,17706353,17708304,18227540,18343886,18484984,18575285,18649920,18779873,18935475,19167809,19228770,19893248,19921842,19986267,20046158,20197840,20288705,20388473,20510688,20670806,20686310,20795607,20795813,20981160,21429185,21873048,21904289,21998885,22213048,22227713,22290342,22379904,22431255,22530137,22598246,22722570,22867220,23074524,23332337,23603805,23793175,23926672,24237408,24346446,24393878,24401153,24583809,24607179,24756675,24758228,24823572,24989679,25177392,25252329,25294790,25384229,25715022,25735913,25824209,25998566,26398662,26407120,26521637,26703875,26704262,26828390,26917506,26974673,27025478,27267084,27440664,27651566,28324566,28551810,29126390,29708010,29718182,30346292,30353748,30455264,30529457,30795233,30870747,30970838,31326617,31688544,31880117,32044650,32185910,32194068,32608934,33307015,33331910,33683608,33990250,34180960,34262172,34510217,34556489,34610894,34858790,34951668,34981364,35241855,35563685,35649612,36158169,36484977,36552566,36765590,37019318,37105887,37157057,37591312,37894059,37950017,38331662,38453580,38623092,39017222,39416529,39968418,39998292,40009649,40236854,40788300,41017152,41154485,41587334,41684529,41828657,41830548,42109793,42290226,42676422,42957926,43298049,43349332,43507520,43613510,43936385,43993190,44118708,44173675,44752310,45111975,45191828,46144296,46188777,46573313,46693528,47129489,47163977,47581450,47787177,47950553,48119440,48263054,48316262,48382433,48557500,48945960,48998537,49246166,49265957,49300310,49385382,49473185,49743809,50292308,50942249,51026584,51439637,51735188,51875873,51912333,52209024,52233969,52328815,52336212,52530219,52723662,52791828,52884740,53008410,53081510,53388857,53702772,54134370,54214310,54441489,54485753,54516244,55064205,55692689,55756372,56035864,56542304,56679857,56759222,56951409,57097740,57350153,57404907,57481220,57522808,57743328,57863669,58092233,58269000,58390073,58735152,59023649,59082135,59160372,59229173,59367822,60069369,60690369,60879617,60904256,61035749,61052558,61245233,61935284,62022737,62153600,62503589,62535975,62594129,62794578,63020944,63040347,63105250,63116597,63337108,63461688,63610092,63697812,64047953,64713159,64961244,65013177,65057172,65058473,65320329,65465849,65552625,65739206,66077046,66178168,66705040,66935129,67377110,67511249,67973500,68339175,68500790,68517288,68662804,68938553,68947220,68977464,68984357,68997593,69013238,69255137,69573137,69811073,69820292,69922800,69997910,70184705,70335875,70786958,70812129,70898562,71394399,71570513,71596214,71981633,72157733,72813737,72895120,72908069,73097588,73274993,73360408,74108390,74133777,74450439,74500564,74584320,74616568,74755450,75043170,75363638,75419393,75726300,75940793,76791893,76981553,77039475,77081949,77599647,77803349,77836790,77840933,78551054,78663150,78956753,79149302,79255673,79556608,79651960,79813985,80046048,80106177,80774720,80852532,81568200,81881049,81928790,82007010,82175440,82200948,82530459,82666168,82736664,83341718,83354169,83373158,83414390,83478255,83768852,83907360,83943639,83997492,84221646,84370193,84403050,84605297,84858998,85113185,85113497,85366409,85484129,85875377,85992177,86101457,86626982,87006080,87022455,87217940,87450177,87474144,87493190,87562709,87961972,88603910,88631475,88930068,88994273,89043472,89501184,89608455,89677217,89706540,89999249,90029920,90051804,90349977,90688913,90871560,91159814,91370392,91424705,91533422,91764225,91852913,92137988,92447370,92823952,92961953,92994485,92999439,93069062,93078747,93240434,93240689,93404148,93733553,94007535,94249166,94395780,94540240,94659177,94734328,94854929,95230457,95407433,95582352,95686976,95776782,95891054,95919758,96054068,96629489,96740273,96929664,97105000,97504977,97515652,97555384,97684385,97694837,97881840,98089720,98249957,98314548,98408412,98567990,98590340,98610528,98637249,98639393,98935910,99378875,99503033,99652073,...,668208244045185977657930305858434467579713091949507262095291591897293752767758084395102202010073318670235649619712554115658162758832894564709653829709738147130721705140755472453477767528801931635704724231107469593491828871513132524382381593669785396110062417860409469171247800416530070121234193512075646726701407931493498741408339365094678330613638572837510500725735406482406359059595129990077250255531654002058323839344658196655552165490635025186581851701741006603707830666026453440341777973144363310210005608048204068591563285335911197754691707880203102240890175130156584112453305749180571150889762853847199064439845351391964430548324527554629967112674200408083578716761759825360654516101550514951717599279107984546443956462113749896897573585796380667270250085401882616749588416223357811639838667742434342210142568805105119377103575909646535057956310920968574764513158335549302482562871529971953540663014783838016838162989306506127506902163655256894997157214180003658206359856957365682808768303158192480435684954355316701204383359741769357780711783015818404925086293491577072679256882485487214386650426709283485955453531713318772908181688607542500863369976573328634084463086423995467558849809396258686877205699047948678510068962557441826282588568721610716443842703220240908519006565591477323145999748416573448685145678463245803207485208617297455229512505976810450219510235450218095174233526071331083422300796758981969407373724841440962436502680546335574640365416968148488589028539363808683003555058768460291392780720429285437885627980504904918343971172488440669026508825150772843156878780980945528017747028819059443499108778055824761052401338822991131625977487313762322256549453181423994057072741278516609017652876228050721682210285159372136096756773680089276686797356607848503625963085155029409007418081668630286197910074695935051047888850748169669365179932258359348835397582503100263882407798405767326960220302930591570648820740565218137136951017625740186953126432747038240009167339338839765934788827515582638087534607154609786346341054475297114159901539635991535459923659516774835129668848789163717779312709525864426867824150121926841701132126106655036440562186184696444147382774931682474820575230848269409964126878450113075727629152186054766778113191371316267241985197020995330508596424573709777217869975612405386501826609685044832484664139136810210757614857913146012320201298083550888641788893476232036326812738367682221456865205219376078339769568452056715048484394350432274984432537932710349683766393916799969973927163130271777282275700160734356531121802752021278769014496160824491107684907919022451642583886020290098377756874794438039740628404341328271285290785331344293016904175081347425300090643591534872363181169447778626078612126348233631057805083753145880710258859628533723246707535829037344227083316094014703362771336882600281679754410129412384447614387703228437538351958821994299244804230721893015304370520286626205678637520040480512401966412755840993455987770051713507996105994160295384874757737875784557050753593323264905348843265156391937730173272998230109696303853154067212}
19448  34622977923143596538771340847439584466462687845848747450907751295706803: {136087,194410,233292,369151,505258,601927,660586,738226,855052,893458,1126186,1182607,1298527,1321036,1668658,1786732,2020616,2040465,2176496,2273193,2287666,2429125,2448558,2596786,2683951,2828458,2914950,2952296,3109280,3182092,3205785,3321333,3419504,3487327,3497940,3731136,3788265,3830551,3846942,4040816,4059007,4110892,4197528,4369258,4401151,4487637,4545918,4628887,4722219,4760105,4907026,4952865,5283056,5290666,5342425,5501932,5534985,5712126,5876287,5903984,5943438,6056746,6410910,6641982,6663461,6668458,6698865,6800150,6838304,6897586,6933297,7002727,7050549,7145456,7227151,7563247,7584106,7693092,8038638,8160180,8253925,8331609,8344951,8704192,8725426,8837465,8953258,9180946,9457928,9519230,9714500,9792216,9904710,10090258,10468997,10565024,10604958,10640169,10768665,10846258,10892937,11016243,11423076,11486576,11657400,11749705,11751346,11885652,12371177,12418207,12434560,12624950,12912305,12922398,12961087,13114575,13598900,13704466,13988880,14003986,14099646,14149087,14228458,14364151,14686207,14921472,14955710,15114607,15149940,15412665,15494766,15572266,15737490,16159936,16174361,16318680,16407365,16440176,16465258,16786656,16816687,16858376,17152185,17406592,17673110,17726386,17731785,17871127,17904652,17946852,18179928,18290887,18295664,18358515,18395647,18446150,18466066,18495198,18604951,18813967,18884988,18909106,18913904,18965673,19138917,19335247,19427000,19436417,19469865,19582416,19647151,19688838,19849269,20178412,20452419,20582622,20675506,20767856,20935838,21207732,21278142,21365300,21539212,21774826,21855375,21944793,22030218,22135380,22140466,22425127,22527007,22730551,22784425,22870546,23106230,23238151,23312400,23363838,23611072,23945767,24010581,24046567,24180658,24543658,24761266,24866560,25247300,25250551,25268458,25437333,25638360,26226450,26245951,26444167,26562456,26648356,26740951,27217426,27341310,27347584,27433258,27515829,27727476,27766310,27974880,28019527,28508047,28584025,28702951,28843155,28897567,29164064,29473157,29479687,29720456,29839872,29882763,29908340,30069237,30154666,30155551,30296760,30766032,30827887,30866986,30947785,31006209,31029465,31471740,31591951,31719658,31932466,32074258,32316544,32461928,32778412,32809572,32823727,32892398,33008900,33012151,33098096,33319572,33435513,33569856,33629746,33669772,33897369,34083855,34136647,34286696,34300830,34404586,34611786,34880551,35158327,35198216,35247658,35343151,35890008,36262951,36356112,36519669,36587552,36590817,36902527,37137342,37235358,37345258,37554226,37766088,37932865,37942185,38041258,38069080,38530951,38572533,38596906,38997849,39157927,39597993,39603607,39610680,40047487,40056393,40119658,40242585,40376259,40471664,40489567,40538217,40856837,40900626,40946986,41160996,41455807,41477349,41892127,42104510,42251392,42486849,42672967,42726200,42827715,42925424,43551658,43689585,43726705,44046727,44233258,44369386,44562015,44573458,44577273,44648261,44777386,45064951,45317887,45486151,45519438,45530622,45682896,45905551,46403626,46456257,46489687,46572847,46602224,46989140,47078506,47280658,47532816,47811607,47819026,48066975,48087826,48210892,48278865,48291102,48646636,48913401,48953167,49031381,49357447,49474516,49840207,49997865,50240527,50332457,50400151,50495506,50525412,50797951,50985375,51271440,51393258,51497456,51625258,51745327,51916341,52215127,52288185,52427502,52472046,52486066,52555372,52759951,53291224,53331056,53378287,53410066,53474418,53475946,53998549,54068407,54186665,54384400,54449287,54593458,54689536,54828849,55143326,55148385,55248658,55280887,55528977,55579372,55774064,55954807,56178151,56326687,56386968,56400847,56489785,56548951,56554258,56696767,56901896,57334546,57399466,57431527,57497493,57680370,57723826,57730732,57905897,57934638,58366910,58375951,58525833,58824944,58952746,59094151,59146258,59952627,59997438,60017047,60149300,60240106,60304306,60355281,60508951,60625066,60696875,60718687,61182450,61393258,61525728,61585036,61682137,62031967,62303033,62381001,62441287,62745822,62795626,62865385,62915551,63113266,63176746,63252151,63435339,63586951,63716236,63783230,63786967,64014633,64190357,64253458,64383127,64436889,64668985,64711807,65010706,65023998,65261280,65289497,65420265,65428567,65639986,65751487,65828458,65847176,65954026,65989785,66105925,66178062,66893746,67128465,67464151,67787742,67899607,68145305,68203306,68270047,68515567,68820847,69134386,69216444,69612032,69645292,69691306,69695465,69781616,69876658,70040292,70044830,70298216,70389104,70616626,70677880,70678186,71372175,71415658,71603696,71722258,71851525,71903510,71906026,71946151,72117007,72179160,72230551,72332897,72343807,72394581,72456466,72474393,72588652,72793951,72836250,73184047,73239487,73249258,73418940,73735786,73789927,73869249,73950465,74062447,74078073,74333167,74463658,75438462,75935212,76023151,76092946,76130320,76177807,76280551,76539876,76941367,76991104,76993066,77052946,77172658,77292151,77419105,77602782,77692000,77885287,77913038,78031951,78274951,78313536,78485266,78504318,78660007,78776180,78880496,78993151,79085493,79138666,79157096,79171385,79187742,79322767,79327110,79512615,79556047,79602487,79622265,79787527,79949093,80026546,80092492,80262706,80554158,80740087,80920492,80962207,81182527,81201555,81220958,81321465,81574567,81615658,81774366,81789847,81791506,82130551,82318186,82341151,82632967,82674367,82722710,82839247,82892537,83381300,83542066,83634558,83726104,83774386,83961151,84039127,84053796,84348151,84615584,84813456,84816658,84840487,84915151,84930416,84966875,85138833,85357087,85360961,85465951,85646610,85828505,85968658,86175151,86184025,86221830,86284212,86370346,86416567,86614992,86620687,86684236,86742896,86922007,87086887,87093772,87119647,87275365,87282367,87346951,87403500,87443287,87507151,87740366,87976951,88082986,88102728,88220887,88371007,88740558,88925047,89051733,89206207,89273266,89507167,89560951,89641087,89877607,89950258,90062866,90133567,90333151,90400306,90528127,90694951,91118900,91356384,91371985,91412647,91578837,91621807,91700510,91911658,91969952,92113207,92206087,92260951,92491207,92576527,92610151,92741767,92773951,92902926,92912746,92961007,93125705,93134506,93151951,93230400,93249727,93270710,93459967,93546151,93582007,93628807,93740767,93989167,94100551,94155487,94191867,94199767,94261327,94404658,94406407,94415551,94416172,94474951,94524847,94531416,94545151,94547527,94552207,94554151,94657875,95005662,95192532,95392786,95415138,95546718,95679017,96430186,96702226,96760517,97407658,97441866,97585758,97840426,98608809,98649106,98845036,99115569,99172577,99186226,99267252,99445760,99564950,...,1002312366067778966486895458787651701369569637924260893142937387845940629151637126592653303015109978005353474429568831173487244138249341847064480744564607220696082557711133208680216651293202897453557086346661204390237743307269698786573572390504678094165093626790614203756871700624795105181851290268113470090052111897240248112112509047642017495920457859256265751088603109723609538589392694985115875383297481003087485759016987294983328248235952537779872777552611509905561745999039680160512666959716544965315008412072306102887344928003866796632037561820304653361335262695234876168679958623770856726334644280770798596659768027087946645822486791331944950669011300612125368075142639738040981774152325772427576398918661976819665934693170624845346360378694571000905375128102823925124382624335036717459758001613651513315213853207657679065655363864469802586934466381452862146769737503323953723844307294957930310994522175757025257244483959759191260353245482885342495735821270005487309539785436048524213152454737288720653527431532975051806575039612654036671067674523727607387629440237365609018885323728230821579975640063925228933180297569978159362272532911313751295054964859992951126694629635993201338274714094388030315808548571923017765103443836162739423882853082416074665764054830361362778509848387215984718999622624860173027718517694868704811227812925946182844268758965215675329265353175327142761350289106996625133451195138472954111060587262161443654754020819503361960548125452222732883542809045713024505332588152690437089171080643928156828441970757357377515956758732661003539763237726159264735318171471418292026620543228589165248663167083737141578602008234486697438966230970643483384824179772135991085609111917774913526479314342076082523315427739058204145135160520133915030196034911772755438944627732544113511127122502945429296865112043902576571833276122254504047769898387539023253096373754650395823611697608650990440330454395887355973231110847827205705426526438610280429689649120557360013751009008259648902183241273373957131301910731914679519511581712945671239852309453987303189885489275162252694503273183745576668969064288796640301736225182890262551698189159982554660843279277044666221074162397523712230862846272404114946190317675169613591443728279082150167169787056974400862977795531492995762894636860564665826804963418608079752739914527567248726996208705215316136422286869719018480301947125326332962683340214348054490219107551523332185297807829064117509654352678085072572726591525648412476648806899065524525649590875199954960890744695407665923413550241101534796682704128031918153521744241236736661527361878533677463875829030435147566635312191657059610942606511992406927936177997016439525356262622021137950135965387302308544771754171667939117918189522350446586707625629718821065388289442800584870061303743556016340624974141022055044157005323900422519631615194118576671421581554842656307527938232991448867206346082839522956555780429939308517956280060720768602949619133761490183981655077570261994158991240443077312136606813676835576130389984897358023264897734587906595259909497345164544455779731100818}
19449  34759185566531363822551871312955568461644687712490506040765258415630517: {38894,291615,311056,349938,757887,990879,1068815,1107339,1282578,1340187,1651295,1689279,1768039,1904434,1981554,2233415,2350667,2502987,2525770,2583259,2680098,2720620,2992066,3030924,3264744,3282487,3431499,3535714,3631727,3672837,3690370,3886600,3895179,3977615,4242687,4274380,4372425,4428444,4622674,4663920,4773138,4795999,4974848,5051020,5129256,5138615,5165986,5246910,5554978,5596704,5770413,5983516,6061224,6166338,6252274,6296292,6553887,6564298,6603820,6818877,6877415,7360539,7379980,7616168,7924584,7935999,8116306,8252898,8275687,8547880,8568189,8582314,8855976,8915157,8931820,9085119,9244396,9400732,9565679,9616365,9962973,10002687,10025147,10050754,10200225,10257456,10264187,10346379,10718184,10880240,11108812,11376159,11539638,11822410,12057957,12143125,12240270,12576971,13056288,13088139,13206280,13429887,13515527,13771419,14139944,14186892,14278845,14358220,14385154,14523916,14571750,14688324,14751079,14857065,15135387,15230768,15543200,15638818,15839179,15847536,15907437,16008706,16269387,16307831,16549666,16998625,17134614,17229864,17460479,17486100,17627019,17828478,18171874,18630907,18651840,18799528,18937425,19383597,19431119,19895296,20199920,20398350,20550220,20556699,20659688,20948699,20983320,21005979,21072970,21149469,21342687,21679138,21758240,22230007,22380815,22382208,22433565,22724910,22869580,23041631,23242149,23358399,23606235,23615687,23642380,23690914,23929136,24239904,24283750,24478020,24660264,24697887,25179984,25223015,25287564,25518556,25886887,25959820,26005399,26109888,26251784,26405399,26465692,26509665,26589579,26706625,26707018,26856978,26920278,26924015,27263746,27269892,27443496,27669225,27699099,27742797,28276976,28327482,28343794,28363659,28370856,28404187,28960834,29086607,29140500,29259724,29373624,29513840,29533257,30000859,30204946,30267618,30725578,30798439,30873933,31013259,31083200,31151784,31403757,31559125,31614671,31811598,31879159,31917213,32014108,32047950,32308818,32662239,32996674,33045327,33203070,33210699,33310445,33916444,34184480,34305819,34614466,34659345,34857826,34968600,35045757,35412706,35416608,35630719,36270987,36455080,36687772,36815487,36969968,37111799,37141899,37150570,37299840,37385425,37559746,37870950,37902687,37920971,38335618,38457540,39339675,39786496,39843684,39972534,40092316,40395680,40577410,40776946,40826139,40839487,40973015,41011965,41021376,41149887,41261125,41341612,41372620,41591214,41591626,41649465,41962320,42087215,42858370,42983327,43746096,43808578,43997770,44426096,44455426,44580684,44759808,44862510,45060274,45196492,45231999,45445140,45734440,46149048,46300479,46629821,46664674,47207610,47544059,47579487,47586350,47853344,47898699,47969867,48111387,48474816,48692892,48787756,48802306,49167618,49214358,49338597,49513350,49516456,49647144,49766119,49789159,49979358,50354784,50444619,50504658,50589580,50768458,51430044,51451245,51471826,51606879,51648418,51917679,51997132,52797324,52814240,52871487,53043274,53407750,53408524,53656780,53835012,53949346,54050956,54224687,54534168,54881328,55303132,55698487,55706013,55853037,56017887,56331339,56510359,56585351,56640719,56649132,57061887,57103620,57179239,57491359,57616279,57895359,58252780,58736425,59214287,59416020,59436364,59669899,60179487,60263615,60686287,60692584,60707496,60779639,60808295,60910528,61058914,61350939,61420479,61510939,61590466,61741494,61843145,61941676,62653234,63156765,63377088,63760234,64089300,64371820,64388136,65217868,65245111,65327487,65694215,66197311,66349887,66554079,66614030,66663820,66674927,66860187,67166079,67367216,67980500,68279157,68295933,68361920,68524344,69020434,69112978,69221788,69262459,69474215,69605439,69717580,69903336,69962728,70483710,70495031,70542079,70617759,70920987,71127370,71299224,71728539,72131739,72163415,72316338,72436653,72712411,72969954,73105132,73260341,73278911,73531180,73586599,73973819,74038636,74211774,74314114,75182624,75186625,75342971,75363419,75743259,75788118,75900034,76663324,76907160,76981295,77048971,77089887,77246184,77437887,78034444,78641253,78708069,78729099,78833058,79645295,79936836,79996584,80019298,80115099,80211627,80213919,80473708,80537839,80927291,81380059,81576600,81845327,81890187,82034304,82308970,82714989,82872987,83174668,83369058,83657314,83661096,83972207,84219586,84580452,84673487,84831387,85352844,85915852,86001819,86099199,86520555,86585739,86596098,86597719,86698664,86901957,87015040,87056615,87227020,87550365,87632399,87872770,87986380,88237416,88347350,88429119,88719387,89504620,89996157,90188827,90223950,90360159,90383656,90456459,90735815,90937599,90978199,91621847,91773675,92089887,92288592,92377554,93050071,93146626,93387056,94118733,94193439,94258978,94327954,94440319,94669899,94765119,94919015,95162900,95331359,95574354,95674845,95901106,96238880,96380187,96526108,96632524,96764866,97115000,97516059,97535997,97891920,97997074,98258587,98459979,98470225,98492332,98531914,98600620,98742687,98770764,98931039,98946370,99121039,99267093,99487618,99894971,...,1503468549101668449730343188181477552054354456886391339714406081768910943727455689888979954522664967008030211644353246760230866207374012770596721116846910831044123836566699813020324976939804346180335629519991806585356614960904548179860358585757017141247640440185921305635307550937192657772776935402170205135078167845860372168168763571463026243880686788884398626632904664585414307884089042477673813074946221504631228638525480942474992372353928806669809166328917264858342618998559520240769000439574817447972512618108459154331017392005800194948056342730456980042002894042852314253019937935656285089501966421156197894989652040631919968733730186997917426003516950918188052112713959607061472661228488658641364598377992965229498902039755937268019540568041856501358062692154235887686573936502555076189637002420477269972820779811486518598483045796704703880401699572179293220154606254985930585766460942436895466491783263635537885866725939638786890529868224328013743603731905008230964309678154072786319728682105933080980291147299462577709862559418981055006601511785591411081444160356048413528327985592346232369963460095887843399770446354967239043408799366970626942582447289989426690041944453989802007412071141582045473712822857884526647655165754244109135824279623624111998646082245542044167764772580823977078499433937290259541577776542303057216841719388919274266403138447823512993898029762990714142025433660494937700176792707709431166590880893242165482131031229255042940822188178334099325314213568569536757998882229035655633756620965892235242662956136036066273935138098991505309644856589238897102977257207127438039930814842883747872994750625605712367903012351730046158449346455965225077236269658203986628413667876662370289718971513114123784973141608587306217702740780200872545294052367659133158416941598816170266690683754418143945297668065853864857749914183381756071654847581308534879644560631975593735417546412976485660495681593831033959846666271740808558139789657915420644534473680836040020626513512389473353274861910060935696952866097872019279267372569418506859778464180980954784828233912743379041754909775618365003453596433194960452604337774335393827547283739973831991264918915566999331611243596285568346294269408606172419285476512754420387165592418623225250754680585461601294466693297239493644341955290846998740207445127912119629109871791350873090494313057822974204633430304578527720452920687989499444025010321522081735328661327284998277946711743596176264481529017127608859089887288472618714973210348598286788474386312799932441336117043111498885120325361652302195024056192047877230282616361855104992291042817800516195813743545652721349952968287485589416413909767988610391904266995524659288034393933031706925203948080953462817157631257501908676877284283525669880061438444578231598082434164200877305091955615334024510937461211533082566235507985850633779447422791177865007132372332263984461291907349487173300809519124259284434833670644908962776934420091081152904424428700642235275972482616355392991238486860664615968204910220515253364195584977346037034897346601881859892889864246017746816683669596651227}
19450  34895925237114793385790712507658367093101393293636579439304743196883888: {58341,272174,330361,388820,446821,466584,524907,563209,738302,911941,1010516,1144069,1203854,1321172,1375909,1476452,1710104,1786916,1923867,2252372,2365214,2530789,2597054,2642072,2856651,2875849,2972331,3337316,3400775,3573464,3678469,3788655,4020147,4041232,4080930,4352992,4488099,4546386,4575332,4591429,4858250,4897116,5159689,5193572,5303571,5342975,5367902,5535555,5613001,5656916,5829900,5904592,5952229,6218560,6313775,6364184,6411570,6642666,6664147,6839008,6934011,6974654,6995880,7159707,7462272,7479395,7576530,7661102,7693884,7748979,7870365,7973989,8081632,8118014,8221784,8254775,8332467,8395056,8531449,8738516,8802302,8975274,9091836,9224975,9249507,9257774,9308869,9378411,9444438,9520210,9530341,9814052,9846447,9905730,10566112,10581332,10684850,11003864,11069970,11164775,11424252,11555495,11750915,11752574,11807968,11886876,12113492,12165541,12174459,12274441,12372451,12379347,12709321,12821820,12873471,13143049,13283964,13326922,13336916,13397730,13467589,13600300,13676608,13795172,13866594,13886015,14005454,14101098,14290912,14454302,15076131,15126494,15168212,15386184,15934201,16040581,16077276,16320360,16449587,16507850,16663218,16689902,16889029,17206009,17309457,17408384,17450852,17522341,17674930,17733615,17906516,17947775,18077227,18154895,18360405,18361892,18915856,19038460,19302649,19429000,19584432,19809420,20133241,20180516,20340169,20937994,21130048,21209916,21267781,21280338,21537330,21575689,21577731,21692516,21780601,21785874,21857625,22032486,22189561,22846152,22902469,22970311,22973152,23314800,23458227,23499410,23502692,23611849,23712901,23771304,23914789,24013059,24619129,24742354,24819721,24824499,24836414,24869120,25249900,25419769,25687775,25701921,25824610,25844027,25844796,25922174,26229150,26742717,26809801,27105829,27197800,27257811,27408932,27892069,27977760,28007972,28199292,28298174,28456916,28586975,28728302,28771081,29372414,29552975,29644261,29842944,29911420,30229214,30299880,30511609,30597525,30825330,30989532,31144532,31474980,31609455,31898195,32134021,32319872,32348722,32449775,32518707,32637360,32814730,32880352,32890309,32930516,32984521,33082115,33573312,33633374,33716752,33829189,34087365,34304370,34482121,34575109,34813184,35346220,35452772,35463570,35536371,35742254,35809304,35869381,35893704,36359856,36419749,36425625,36574655,36581774,36591328,36717030,36791294,36876409,36892300,36932132,36990396,37209902,37627934,37769976,37818212,37827808,37931346,38277834,38595301,38670494,38854000,38872834,38939730,38953861,39164832,39294302,39377676,39698538,39933961,40017635,40060527,40199749,40285467,40288201,40356824,40380417,40895619,40904838,41165244,41168761,41256421,41351012,41535712,41871676,42395555,42415464,42491223,42515691,42556284,42730600,43078424,43080649,43326899,43441251,43510309,43549652,43710750,43889586,44060436,44108809,44270760,44280932,44703781,44850254,45042181,45054014,45307419,45401427,45461102,45568850,45741092,45859715,46088367,46212460,46300921,46467529,46476302,46624800,46633849,46727676,46882789,47213701,47222144,47717397,47891534,47954041,48021162,48035941,48071925,48093134,48361316,48463227,48769801,48850981,48932089,49087316,49336549,49495011,49522532,49658821,49733120,49804605,50115395,50494600,50501102,50536916,50539129,50874666,51276720,51677015,51715775,51921699,52273609,52286739,52452900,52491902,52740601,52888334,53106011,53119059,53124912,53296712,53481902,53590021,53896741,54049669,54430729,54434852,54682620,54695168,54866516,55031658,55187449,55454952,55532620,55712869,55725855,55949760,56039054,56160421,56339619,56495615,56806425,57016094,57168050,57405902,57503427,57686310,57779269,57795134,57997321,58287049,58328128,58503589,58946314,58959374,59077861,59220709,59440912,59505541,59679744,59718409,59765526,59816680,59958801,60138474,60309332,60311102,60423289,60593520,60866115,60912421,60984695,61165419,61217387,61532064,61655774,61673929,61733972,61880101,61895570,62012418,62058930,62358649,62386821,62387439,62630521,62833669,62943480,63183902,63236975,63439316,63816467,63864932,64148516,64237561,64287555,64633088,64923856,64996415,65025529,65556824,65619144,65647454,65674249,65712867,65784796,65931721,65996655,66017800,66024302,66188041,66196192,66639144,66683139,66760655,66871026,67070975,67076089,67139712,67201801,67259492,67293765,67339544,67563695,67590411,67794738,68135461,68167710,68273294,68573392,68601660,68687881,68809172,68938859,69113509,69128915,69223572,69234469,69355141,69655561,69761102,69834949,69997011,70251001,70316654,70396432,70487161,70495316,70686302,70811415,71188729,71379525,71593189,71780016,72278341,72525902,72617029,72712224,72815975,72897071,73008889,73039338,73175104,73181634,73203459,73617541,73751427,73805054,73821537,74270025,74274684,74295455,74470716,74690516,74755321,74968441,74969037,75108452,75532176,75756987,75809401,75861331,75861349,75865730,75884370,76016761,76082516,76138160,76152687,76222969,76581061,76885189,77061902,77145066,77193812,77207739,77336521,77427095,77472627,77485669,77978149,77995698,78124489,78315854,78318601,78703369,79085699,79177849,79195986,79207214,79221360,79564911,79922041,80094974,80111625,80112786,80150821,80239316,80464775,80485170,80558089,80602981,80752518,80915209,80924019,80943328,80979134,81076434,81092041,81522335,81529081,81713674,81801252,81893972,82297609,82321992,82590181,82755781,82838149,82911614,82954698,83002021,83042809,83329775,83784254,83843449,84116869,84209020,84501349,84502784,84973698,84975625,85175269,85345934,85452400,85647481,85655430,85790329,85850848,85896709,85967269,86037541,86527235,86657029,86813507,86858341,86924869,86991109,87024121,87103316,87146975,87220681,87379170,87453410,87700741,87794809,87826021,88011539,88093454,88134181,88255429,88435141,88464841,88466516,88728901,88738772,88844389,88930249,89124030,89146916,89154546,89296522,89540089,89554772,89700361,89726821,89805769,89831941,89987461,90129902,90240901,90265849,90364921,90536579,90635774,90843001,90935161,90972302,90980809,91038876,91061244,91071241,91248649,91365792,91381415,91588371,91733029,91811102,91872889,91913975,92160709,92361481,92385699,92467321,92519269,92548295,92612241,92720581,92807252,92880421,92912514,92942341,92979374,93077449,93106681,93145694,93204448,93303241,93460489,93607369,93688261,93754789,93787081,93808249,93829129,93976549,93978280,93979851,93994981,94132069,94157012,94229881,94257529,94303141,94327621,94339429,94356601,94378489,94404229,94450309,94478281,94534009,94561316,95065632,95403427,95623214,95638052,95640351,95829155,96133950,96175652,96178907,96421784,96557730,96582204,97293272,97543055,97573651,97826802,97906334,98062762,98714894,98949032,99680414,99921045,99995730,...,2004624732135557932973790917575303402739139275848521786285874775691881258303274253185306606030219956010706948859137662346974488276498683694128961489129214441392165115422266417360433302586405794907114172693322408780475486614539397573147144781009356188330187253581228407513743401249590210363702580536226940180104223794480496224225018095284034991840915718512531502177206219447219077178785389970231750766594962006174971518033974589966656496471905075559745555105223019811123491998079360321025333919433089930630016824144612205774689856007733593264075123640609306722670525390469752337359917247541713452669288561541597193319536054175893291644973582663889901338022601224250736150285279476081963548304651544855152797837323953639331869386341249690692720757389142001810750256205647850248765248670073434919516003227303026630427706415315358131310727728939605173868932762905724293539475006647907447688614589915860621989044351514050514488967919518382520706490965770684991471642540010974619079570872097048426304909474577441307054863065950103613150079225308073342135349047455214775258880474731218037770647456461643159951280127850457866360595139956318724545065822627502590109929719985902253389259271986402676549428188776060631617097143846035530206887672325478847765706164832149331528109660722725557019696774431969437999245249720346055437035389737409622455625851892365688537517930431350658530706350654285522700578213993250266902390276945908222121174524322887309508041639006723921096250904445465767085618091426049010665176305380874178342161287856313656883941514714755031913517465322007079526475452318529470636342942836584053241086457178330497326334167474283157204016468973394877932461941286966769648359544271982171218223835549827052958628684152165046630855478116408290270321040267830060392069823545510877889255465088227022254245005890858593730224087805153143666552244509008095539796775078046506192747509300791647223395217301980880660908791774711946462221695654411410853052877220560859379298241114720027502018016519297804366482546747914262603821463829359039023163425891342479704618907974606379770978550324505389006546367491153337938128577593280603472450365780525103396378319965109321686558554089332442148324795047424461725692544808229892380635350339227182887456558164300334339574113948801725955591062985991525789273721129331653609926837216159505479829055134497453992417410430632272844573739438036960603894250652665925366680428696108980438215103046664370595615658128235019308705356170145145453183051296824953297613798131049051299181750399909921781489390815331846827100482203069593365408256063836307043488482473473323054723757067354927751658060870295133270624383314119221885213023984813855872355994032879050712525244042275900271930774604617089543508343335878235836379044700893173415251259437642130776578885601169740122607487112032681249948282044110088314010647800845039263230388237153342843163109685312615055876465982897734412692165679045913111560859878617035912560121441537205899238267522980367963310155140523988317982480886154624273213627353671152260779969794716046529795469175813190519818994690329088911559462201636}
19451  35033198998175033961674548448901992059081168026787314968558881993498051: {77788,408261,486025,583230,622112,699876,1107453,1263145,1496341,1515774,1651465,1805781,1845565,1981758,2137630,2214678,2233645,2311813,2350909,2565156,2680374,2778061,2815465,3126781,3302590,3378558,3536078,3547821,3632101,3808868,3895581,3963108,4058989,4171645,4292041,4466830,4701334,4912501,5005974,5051540,5166518,5360196,5441240,5568661,5611513,5719165,5984132,6061848,6121395,6491965,6529488,6564974,6819579,6862998,7071145,7071428,7194061,7263454,7287375,7345674,7380740,7773200,7790358,7897021,7955230,8051853,8485374,8548760,8744850,8856888,9245348,9327840,9546276,9591998,9617355,9628381,9949696,9963999,10102040,10225381,10258512,10277230,10331972,10461981,10493820,10691053,10923145,11109956,11193408,11302621,11364795,11491653,11540826,11847901,11967032,12122448,12177021,12267565,12332676,12504548,12578269,12592584,13003309,13107774,13128596,13203453,13207640,13226665,13462911,13637754,13754830,13886661,14166657,14174821,14277901,14280315,14721078,14759960,14858595,14863693,15105589,15141865,15232336,15490213,15849168,15871998,16027275,16232612,16501741,16505796,16551374,16604955,16671145,17000375,17095760,17136378,17164628,17243965,17432509,17462281,17628861,17711952,17830314,17863640,18170238,18281941,18488792,18801464,18960265,19131358,19232730,19514653,19925946,19990383,20005374,20050294,20089801,20096595,20101508,20400450,20514912,20528374,20692758,20799891,20950861,21008181,21151647,21436368,21681453,21717133,21760480,21813565,22217624,22383145,22689741,22752318,22754941,22952365,23044009,23079276,23644820,23798075,24115914,24165613,24286250,24480540,24630709,24761775,24994827,25034853,25153942,25225645,26112576,26176278,26412560,26512395,26859774,27031054,27115645,27542838,27824269,28226461,28279888,28373784,28557690,28716440,28770308,29047832,29143500,29376648,29378365,29388841,29502158,29511229,29714130,30270774,30461536,31086400,31277636,31333141,31406991,31562375,31678358,31695072,31814874,31920507,32017412,32039029,32305995,32538774,32615662,32678811,33048729,33099332,33194761,33997250,34261165,34269228,34375081,34459728,34920958,34972200,35009965,35249115,35254038,35312221,35404501,35571145,35656956,36343748,36665101,37113531,37254621,37261814,37303680,37362793,37389275,37599056,37693621,37874850,38344669,38736915,38767194,38862238,38883261,38930665,39343725,39790592,40399840,40442149,40796700,41100440,41113398,41163145,41319376,41477893,41897398,41966640,42011958,42145940,42298938,42447261,42685374,43092453,43358276,43516480,44058621,44182775,44315965,44460014,44761630,44764416,44815693,44867130,45343821,45449820,45739160,46083262,46115375,46165165,46237995,46484298,46634623,46716798,47212470,47231374,47272765,47284760,47381828,47858272,47974861,48040189,48392509,48432733,48479808,48523083,48567500,48956040,49222095,49227541,49320528,49395774,49898473,50359968,50446030,50450061,50575128,51037112,51456555,51688765,51773774,51919640,52010798,52219776,52339595,52503568,52810798,52931384,53019330,53179158,53195355,53413250,53414036,53613381,53713956,53840556,53848030,54230341,54437065,54527492,54539784,54699013,54872661,54886992,55075545,55186941,55338450,55351165,55398198,55485594,55814853,56378221,56441901,56553952,56654964,56687588,56691661,56727318,56741712,56808374,56897019,57176365,57362221,57416751,57705853,57765575,57921668,58005741,58173214,58281000,58309251,58389661,58409595,58519448,58747248,58922101,58941453,59027680,59066514,59547807,59635741,60001718,60409892,60451645,60487789,60535236,61357257,61359145,61451156,61596878,61666933,61747866,61903165,62026518,62166400,62303568,62807514,63118250,63171145,63229342,63275593,63304333,63623196,63758318,63834426,64028216,64083721,64095900,64424713,64514221,64617636,65324478,65566125,65834379,65993348,66090654,66406140,66421398,66620890,67275381,67298173,67581021,67832888,68043565,68191653,68353275,68368960,68583145,68611638,69228932,69318690,69415775,69714453,69715652,69937200,69980521,70091514,70825412,70833216,71261438,71837301,72031743,72139701,72541974,72828901,72910160,73375544,73630974,73933813,73939936,74114821,74119813,74223598,74283798,74301140,74599680,74770850,75119492,75350869,75386665,75741900,75751653,75805374,75841942,76311999,76671236,76915080,76997701,77167465,78332629,78679350,78737853,78797641,79248133,79299145,79332501,79572992,79687368,79831165,79945068,79958569,80184632,80185645,80222853,80697481,80791360,80888653,81154820,81519229,81553892,81652278,81678974,81853861,81946030,82023930,82042752,82230995,82299774,82522250,82547487,82683224,82745240,83182428,83183252,83206933,83278633,83298930,83670589,83924640,84058581,84074365,84174430,84369061,84508141,85131613,85524141,85620469,85716740,85752075,85966654,86011465,86108853,86256169,86529465,86580403,86692701,87135661,87492192,87617156,87995540,88119145,88283941,88419471,88439061,88803901,88852192,88910852,89041693,89161368,89519616,89648289,89725020,90120548,90121669,90207711,90210313,90392984,90463998,90466653,90890280,91037293,91080553,91468880,91474189,91755829,91971901,92298096,92483661,92600958,92843355,93018627,93088395,93259642,93329348,93363145,93436141,93885565,94415220,94556173,94775853,95088118,95103145,95158974,95172700,95341321,95706688,95797398,95939734,96222774,96242509,96492265,96572233,96949632,97263901,97336669,97385784,97464301,97575512,97604612,97942093,98335236,98428716,98471181,98677194,99026700,99032912,99036453,99226441,99239881,99294288,99532238,99578318,99958716,...,3006937098203336899460686376362955104108708913772782679428812163537821887454911379777959909045329934016060423288706493520461732414748025541193442233693821662088247673133399626040649953879608692360671259039983613170713229921809096359720717171514034282495280880371842611270615101874385315545553870804340410270156335691720744336337527142926052487761373577768797253265809329170828615768178084955347626149892443009262457277050961884949984744707857613339618332657834529716685237997119040481538000879149634895945025236216918308662034784011600389896112685460913960084005788085704628506039875871312570179003932842312395789979304081263839937467460373995834852007033901836376104225427919214122945322456977317282729196755985930458997804079511874536039081136083713002716125384308471775373147873005110152379274004840954539945641559622973037196966091593409407760803399144358586440309212509971861171532921884873790932983566527271075771733451879277573781059736448656027487207463810016461928619356308145572639457364211866161960582294598925155419725118837962110013203023571182822162888320712096827056655971184692464739926920191775686799540892709934478086817598733941253885164894579978853380083888907979604014824142283164090947425645715769053295310331508488218271648559247248223997292164491084088335529545161647954156998867874580519083155553084606114433683438777838548532806276895647025987796059525981428284050867320989875400353585415418862333181761786484330964262062458510085881644376356668198650628427137139073515997764458071311267513241931784470485325912272072132547870276197983010619289713178477794205954514414254876079861629685767495745989501251211424735806024703460092316898692911930450154472539316407973256827335753324740579437943026228247569946283217174612435405481560401745090588104735318266316833883197632340533381367508836287890595336131707729715499828366763512143309695162617069759289121263951187470835092825952971320991363187662067919693332543481617116279579315830841289068947361672080041253027024778946706549723820121871393905732195744038558534745138837013719556928361961909569656467825486758083509819551236730006907192866389920905208675548670787655094567479947663982529837831133998663222487192571136692588538817212344838570953025508840774331184837246450501509361170923202588933386594478987288683910581693997480414890255824239258219743582701746180988626115645948409266860609157055440905841375978998888050020643044163470657322654569996555893423487192352528963058034255217718179774576945237429946420697196573576948772625599864882672234086222997770240650723304604390048112384095754460565232723710209984582085635601032391627487091305442699905936574971178832827819535977220783808533991049318576068787866063413850407896161906925634315262515003817353754568567051339760122876889156463196164868328401754610183911230668049021874922423066165132471015971701267558894845582355730014264744664527968922583814698974346601619038248518568869667341289817925553868840182162305808848857401284470551944965232710785982476973721329231936409820441030506728391169954692074069794693203763719785779728492035493633367339193302454}
19452  35171008920937838613380273327738218023786166363087852032808423739745103: {97235,116682,213851,369227,446867,544348,563267,602051,660722,777640,874845,893642,933168,1049814,1126418,1182851,1376051,1414667,1476604,1530467,1823882,2021032,2273661,2288138,2407708,2642344,2751818,2914451,2952904,2972637,3144107,3206445,3322017,3420208,3449867,3573832,3716987,3847734,4020561,4478027,4504744,4591907,4629851,4730428,4761085,4953885,5061578,5067837,5160227,5194108,5198051,5284144,5304117,5713302,5751698,5944662,5952851,5990507,6314425,6329051,6674632,6700245,6801550,7052001,7116467,7146928,7228667,7303427,7356938,7480165,7508961,7577310,7639451,7749777,8012051,8040294,8082464,8161860,8346707,8420987,8705984,8839285,8976198,9088067,9092772,9150664,9182858,9225925,9716500,9794232,9847461,10230851,10294497,10319378,10387144,10471153,10607142,10685950,10735804,10895181,11018511,11071110,11183387,11226002,11313832,11548307,11556685,11659800,11685537,11809184,11904458,11932845,12384587,12437120,12627550,12728061,12728368,12823140,12914965,13117275,13285332,13288787,13328294,13678016,13721027,13828907,13868022,13887445,13949308,13991760,14044451,14223851,14319414,14387997,14438867,14924544,14958790,15153060,15322204,15387768,15415845,15497958,15630685,15740730,15947978,15971387,16163264,16177693,16236028,16410745,16443568,16451281,16509550,16664934,16790112,16890851,17062898,17207867,17311239,17477032,17604604,17945051,17950548,18183672,18294851,18449950,18499014,18515548,18608987,18617738,18678707,18756822,18783227,18888876,19040420,19060682,19131107,19339451,19440421,19628104,19661661,19692894,19811460,20290765,20456631,20583467,20632245,21064451,21132224,21162664,21270107,21369700,21455785,21919451,22007728,22081617,22139940,22294067,22329550,22396067,22848504,23110990,23310827,23501830,23505148,23615936,23648147,23773752,23807997,23917427,23951051,24226984,24331082,24348918,24548882,24744902,24758694,24827061,25126885,25416853,25418642,25422587,25643640,25704567,25746942,25920707,26286098,26450051,26567928,26615051,26653844,26673832,26745471,26795460,26812787,26935178,27200600,27255357,27305867,27353216,27437051,27590344,27633587,27731747,27733188,27772030,28010908,28091051,28202196,28579451,28581824,28697037,28774307,28849095,28908604,29556025,29583107,29679827,29888919,30008061,30075441,30152262,30252988,30336424,30542941,30547067,30600675,30772368,30792561,31039137,31503827,31868402,32081162,32154552,32640720,32894051,32899174,32925467,33015700,33019667,33326436,33364451,33379804,33552107,33778058,33864227,34128477,34412018,34618914,34816768,34901704,34950347,35044682,35349860,35467230,35813032,35873507,35895550,35962885,35965427,36154454,36173871,36309790,36429375,36606851,36720810,36723784,36911051,37244747,37365851,37730913,37831712,38076920,38149907,38270051,38599787,38605298,38858000,38988227,39097045,39168864,39264417,39345587,39618840,40021765,40266482,40289661,40361032,40546581,40680338,40910147,41085851,41261267,41314257,41374165,41523851,41785787,41875988,41989067,42260096,42419832,42535562,42560676,42683051,42827051,42836535,43074660,43085747,43114451,43151378,43155462,43385032,43561202,43571748,43715250,43943387,44064972,44114051,44253237,44379122,44571195,44657473,45075707,45131987,45384851,45406161,45429685,45692304,45804938,45916547,45940622,45946304,45972347,46314961,46500851,46629600,46639451,46667147,46888427,46916454,46998820,47005384,47081627,47223698,47425802,47517537,47542608,47713667,47722311,47829578,48026118,48808161,48923493,48965051,49238258,49342547,49369451,49484708,49611227,49639442,49648998,49672828,49738240,49905851,50465627,50499800,50545307,50839538,50942627,50995875,51204517,51375550,51403842,51649220,51688054,51689592,51844348,52045547,52280051,52381437,52384067,52458300,52682425,52772987,52881057,53468507,53485434,53619602,54081851,54197845,54211658,54395600,54437507,54462851,54515622,54817864,55344851,55784138,55892721,55955520,56015944,56024689,56192267,56241827,56316107,56398584,56596348,56711051,56812275,56913832,56981387,57173950,57456604,57542162,57592187,58150791,58173851,58293357,58511027,58744828,59105950,59109227,59227285,59288522,59353777,59513147,59685888,59749667,59822840,59867627,60079451,60458428,60599760,60709375,60780851,61023218,61195050,61650660,61670097,61819451,61956707,61979064,62289064,62389451,62706467,62841851,62846097,62864387,62949960,63017937,63218910,63313427,63380507,63448407,63536747,63796390,64028061,64179851,64203601,64268027,64268042,64639744,64641347,64697444,64706987,64899550,65037414,65274720,65629460,65760704,65780618,65861032,65969042,66132851,66164230,66452051,66690021,66767545,67106027,67142445,67146624,67266748,67300695,67419707,67433504,67523867,67658378,67917851,68144627,68159365,68174730,68534051,68608740,68717507,68964242,69062267,69124893,69150218,69545051,69625067,69626368,69726447,70075197,70161553,70161827,70319747,70457507,70634051,70692440,70818705,70847061,70859485,70905544,70926851,70927140,71072742,71198507,71333747,71391587,71484508,71487827,71618608,71622227,71738762,71787408,72004067,72288347,72347821,72402085,72458051,72719712,72739451,72839498,72851250,73149310,73163548,73182656,73434060,73582588,73752818,73784600,73847051,73864264,73980792,74093661,74191787,74390051,74419804,74819267,75032147,75085187,75255868,75419461,75512365,75539952,75636424,75655616,75669045,75716051,75862692,76044827,76233851,76250987,76555668,76813945,76896227,76913051,76997051,77049313,77190602,77314427,77340988,77347667,77660661,77708000,77745668,77760467,77879460,77907722,78005747,78016197,78297707,78329664,78329987,78394451,78588604,78714851,78730787,78755352,79047827,79093861,79216197,79397076,79486307,79528995,79656851,79768737,79867922,80035270,80119875,80121054,80253707,80359547,80399498,80570934,80576402,80713648,80760834,80772045,80793851,81104147,81473197,81541307,81599051,81757187,81791238,81809676,82183547,82239851,82330488,82337522,82491685,82512842,82644227,82702024,82864451,83007675,83071424,83097297,83150387,83217947,83228391,83258387,83459507,83743352,83856347,83869451,83987027,84013067,84374267,84527147,84590507,84791110,84816947,84830928,84982446,85031382,85090977,85112568,85151747,85200851,85212561,85371707,85378573,85461200,85492787,85815707,85922051,85992587,86156848,86161298,86225627,86271851,86398307,86432627,86512427,86536165,86603147,86653798,86670851,86882502,86883347,86949851,87020618,87099304,87144565,87169451,87259821,87267227,87375107,87396587,87421500,87588467,87746387,87779172,87850667,87964451,88120872,88217618,88269851,88279907,88531765,88541520,88561864,88599771,88753187,88868627,88954451,89235851,89407562,89555051,89635547,89700508,89768267,89855747,90002577,90028307,90084362,90108028,90164051,90239507,90363827,90380267,90614838,90702347,90802854,90922204,90994981,91137700,91161467,91264451,91380227,91437347,91482184,91486907,91646987,91719430,91796147,91816187,91849427,91954451,92025467,92176734,92201867,92238851,92293787,92395317,92424920,92535851,92541587,92601842,92621799,92753627,92876425,92935058,92952604,93039777,93123707,93195587,93242507,93249600,93267698,93324947,93455352,93464917,93465107,93503051,93540347,93568907,93581027,93624851,93663851,93765578,93776051,93808307,93850307,93899365,93901187,93950267,93994451,94066547,94211271,94214387,94264451,94298051,94317347,94327787,94359851,94398827,94407587,94422851,94427402,94429427,94444288,94446851,94452947,94482851,94497107,94534067,94548851,94553051,94564451,94579451,94582307,94583627,94584467,94589147,94589173,94590851,94595027,94677375,94844013,95434794,95637477,95751639,95783068,95839045,95908082,96042324,96071882,96143850,96186268,96722632,96780481,96926454,97539602,97701962,97864178,97986717,98174632,98673098,98990022,99045064,99135981,99317642,99466240,99609210,99632097,99931335,...,4510405647305005349191029564544432656163063370659174019143218245306732831182367069666939863567994901024090634933059740280692598622122038311790163350540732493132371509700099439060974930819413038541006888559975419756069844882713644539581075757271051423742921320557763916905922652811577973318330806206510615405234503537581116504506290714389078731642060366653195879898713993756242923652267127433021439224838664513893685915576442827424977117061786420009427498986751794575027856995678560722307001318724452343917537854325377462993052176017400584844169028191370940126008682128556942759059813806968855268505899263468593684968956121895759906201190560993752278010550852754564156338141878821184417983685465975924093795133978895688496706119267811804058621704125569504074188076462707663059721809507665228568911007261431809918462339434459555795449137390114111641205098716537879660463818764957791757299382827310686399475349790906613657600177818916360671589604672984041230811195715024692892929034462218358959186046317799242940873441898387733129587678256943165019804535356774233244332481068145240584983956777038697109890380287663530199311339064901717130226398100911880827747341869968280070125833361969406022236213424746136421138468573653579942965497262732327407472838870872335995938246736626132503294317742471931235498301811870778624733329626909171650525158166757822799209415343470538981694089288972142426076300981484813100530378123128293499772642679726496446393093687765128822466564535002297975942640705708610273996646687106966901269862897676705727988868408108198821805414296974515928934569767716691308931771621382314119792444528651243618984251876817137103709037055190138475348039367895675231708808974611959885241003629987110869156914539342371354919424825761918653108222340602617635882157102977399475250824796448510800072051263254431835893004197561594573249742550145268214964542743925604638933681895926781206252639238929456981487044781493101879539998815222425674419368973746261933603421042508120061879540537168420059824585730182807090858598293616057837802117708255520579335392542942864354484701738230137125264729326855095010360789299584881357813013323006181482641851219921495973794756746700997994833730788856705038882808225818517257856429538263261161496777255869675752264041756384803883400079891718480933025865872540996220622335383736358887329615374052619271482939173468922613900290913735583161358762063968498332075030964566245205985983981854994833840135230788528793444587051382826577269661865417856144919631045794860365423158938399797324008351129334496655360976084956906585072168576143631690847849085565314976873128453401548587441230636958164049858904862456768249241729303965831175712800986573977864103181799095120775611844242860388451472893772505726030631852850577009640184315333734694794247302492602631915275866846002073532812383634599247698706523957551901338342268373533595021397116996791953383875722048461519902428557372777853304501011934726888330803260273243458713273286101926705827917447849066178973715460581993847904614730661545760092586754932038111104692039805645579678669592738053240450051008789953681}
19453  35309357084603936679640372710277937200440570778099229252610205483163031: {155576,175023,680435,816522,972050,991083,1166460,1244224,1340463,1399752,1574721,1689627,1768403,1845755,2214906,2312051,2526290,2583791,2735823,2778347,2992682,3009635,3031548,3127103,3283163,3302930,3432207,3611562,3691130,3941651,3963516,4059407,4127727,4275260,4292483,4429356,4467290,4623626,4701818,4796987,5130312,5360748,5556122,5630930,5771601,5805683,5840303,5913035,6253562,6271691,6492635,6605180,6757116,7072156,7095642,7264202,7592367,7617736,7791162,7926216,8006831,8117978,8343290,8569953,8584082,8627547,8916993,8933660,9088751,9332843,9402668,9825002,9899603,10011948,10103080,10202325,10333036,10720392,10882480,11035407,11137322,11223026,11365965,11428367,11438330,11968264,12060441,12123696,12145625,12242790,12983930,13004651,13058976,13129948,13357643,13419755,13464297,13639158,13725996,13774287,14142290,14142856,14388122,14526908,14574750,14691348,14761480,14865227,15292403,15367547,15479067,15546400,15580716,15794042,15842447,15910460,15910713,16028925,16103706,16606665,16839003,16873883,16970748,17097520,17174591,17312591,17436635,17489700,17713776,17856687,18490696,18517331,18634751,18655680,18941325,19092552,19152755,19173743,19183996,19234710,19256762,19516667,19899392,19927998,19992441,20204080,20295035,20450762,20517024,20554460,20663944,20802033,20802251,20923962,20987640,21198611,21382106,21479121,21846290,22005755,22219912,22386816,22438185,22453307,22605242,22729590,22983306,23081652,23144435,23180267,23246937,23339603,23611095,23695802,23800525,23921967,23934064,24141551,24168107,24244896,24354042,24535130,24633251,24665352,24764325,24997401,25009096,25156538,25185168,25594347,25832207,26006618,26215548,26257192,26406906,26415280,26453330,26529851,26544371,26712125,26892203,26925822,27275508,27509660,27674925,27748521,27773322,27926607,28135233,28333314,28349642,28555802,28560630,28591023,29381435,29442156,29519920,29539341,29717190,29727386,30211178,30283730,30464672,30538991,30822443,30980426,31336403,31698336,31743996,32054550,32133311,32465224,32883227,33003482,33011592,33102748,33209910,33317305,33342290,33494325,33852083,34000750,34191520,34272756,34329256,34487930,34666485,34865018,34876907,34924562,35013635,35252745,35257722,35315903,35423904,35660628,35727280,36135755,36340476,36496623,36523377,36563882,36823323,36977584,37100027,37117353,37138041,37602928,37816235,37864307,37920530,37961903,38127963,38262716,38465460,38620413,39029306,39429147,39851892,39980766,40010748,40100588,40179602,40193190,40203016,40402767,40800900,40865627,41029824,41056748,41129711,41269625,41385516,41599782,41658045,41688131,41724755,41841683,41901722,42016362,42303294,42872736,43131923,43331483,43362906,43434266,43520960,43627130,44187325,44435248,44635151,44766290,45228393,45316427,45379482,45504636,45509882,45904730,46088018,46158552,47144207,47289640,47596150,47795267,47802603,47965631,48121743,48231828,48331226,48397547,48572500,48961080,49013951,49261418,49348761,49523550,49799603,49989654,50069706,50307884,50451290,50667087,51618027,51928371,52225152,52344985,52352556,52567023,52825120,53024790,53200845,53339747,53405483,53719548,53843325,54062108,54231290,54231681,54464685,54502931,55081215,55085676,55648538,56452922,56559776,56697563,56747568,57115380,57191147,57432880,57540616,57628403,57907947,58095664,58178003,58287000,58748525,58753296,58756730,58777682,59004316,59022458,59371643,59428260,60399723,60541548,60923072,61020507,61134191,61685567,61855885,62042351,62091035,62172800,62555272,62619587,62666282,62813982,63124750,63356716,63390144,63629748,63803343,63841014,64034824,64078058,64090403,64561525,64611990,64631231,64727067,64733193,64805435,65077548,65078771,65231324,65341803,65357622,65572875,66097458,66181871,66198664,66331523,66389522,66568683,67639427,67994500,68522330,68538456,68651483,68707407,68750162,68910933,68919456,69005963,69335891,69579467,69594803,69841916,69944400,70019930,70374681,70478603,70498230,70508076,70624442,70745435,70809002,70835547,71138703,71142290,71313912,71744367,71820755,72004091,72039177,72231983,72364271,72687496,72836483,73275433,73330202,73431035,73857387,74227062,74459163,74473497,74509242,74523628,74607360,74725586,74772851,74778550,75198112,75387242,75573035,75749700,76211891,76259307,76444331,76689338,77063325,77105763,77473830,77491631,77532081,77534388,77724476,77766522,77861330,78240107,78687450,79581184,80046911,80133587,80228151,80429403,80799680,80871805,80884298,81317487,81397007,81541907,81593400,81773433,82036825,82200880,82226796,82326290,82638752,82839791,82955786,83676207,83794796,83858987,83933280,84023916,84083435,84291880,84396467,84597876,84632303,84894522,85370748,85393043,85760925,85902803,86027507,86184906,86313243,86664431,86716552,86722991,87032960,87590243,87722651,88020287,88029731,88117242,88365550,88439603,88631930,88658925,88920028,88932783,89021987,89051027,89355635,89523260,89528832,89631386,89734260,90463787,90539867,90639011,90687642,90899640,90997283,91454435,91478320,91483727,91534827,91792575,91978235,92166524,92230750,92330330,92475990,92968596,93024755,93269246,93269807,93433596,94069835,94424940,94462748,94545530,94569520,94763656,94828365,95260991,95694585,95716544,95949722,96016403,96080378,96340907,96402063,96660047,96676235,96785018,96865466,96959616,97046166,97135000,97182085,97315727,97349325,97556121,97761467,97912080,98235755,98444190,98455082,98512703,98641056,98670287,98670927,98791548,98953563,99246345,99796946,...,6013874196406673798921372752725910208217417827545565358857624327075643774909822759555919818090659868032120846577412987040923464829496051082386884467387643324176495346266799252081299907759217384721342518079967226341426459843618192719441434343028068564990561760743685222541230203748770631091107741608680820540312671383441488672675054285852104975522747155537594506531618658341657231536356169910695252299784886018524914554101923769899969489415715226679236665315669059433370475994238080963076001758299269791890050472433836617324069568023200779792225370921827920168011576171409257012079751742625140358007865684624791579958608162527679874934920747991669704014067803672752208450855838428245890644913954634565458393511971860917995608159023749072078162272167426005432250768616943550746295746010220304758548009681909079891283119245946074393932183186818815521606798288717172880618425019943722343065843769747581865967133054542151543466903758555147562119472897312054974414927620032923857238712616291145278914728423732323921164589197850310839450237675924220026406047142365644325776641424193654113311942369384929479853840383551373599081785419868956173635197467882507770329789159957706760167777815959208029648284566328181894851291431538106590620663016976436543297118494496447994584328982168176671059090323295908313997735749161038166311106169212228867366877555677097065612553791294051975592119051962856568101734641979750800707170830837724666363523572968661928524124917020171763288752713336397301256854274278147031995528916142622535026483863568940970651824544144265095740552395966021238579426356955588411909028828509752159723259371534991491979002502422849471612049406920184633797385823860900308945078632815946513654671506649481158875886052456495139892566434349224870810963120803490181176209470636532633667766395264681066762735017672575781190672263415459430999656733527024286619390325234139518578242527902374941670185651905942641982726375324135839386665086963234232559158631661682578137894723344160082506054049557893413099447640243742787811464391488077117069490277674027439113856723923819139312935650973516167019639102473460013814385732779841810417351097341575310189134959895327965059675662267997326444974385142273385177077634424689677141906051017681548662369674492901003018722341846405177866773188957974577367821163387994960829780511648478516439487165403492361977252231291896818533721218314110881811682751957997776100041286088326941314645309139993111786846974384705057926116068510435436359549153890474859892841394393147153897545251199729765344468172445995540481301446609208780096224768191508921130465447420419969164171271202064783254974182610885399811873149942357665655639071954441567617067982098637152137575732126827700815792323813851268630525030007634707509137134102679520245753778312926392329736656803509220367822461336098043749844846132330264942031943402535117789691164711460028529489329055937845167629397948693203238076497037137739334682579635851107737680364324611617697714802568941103889930465421571964953947442658463872819640882061013456782339909384148139589386407527439571559456984070987266734678386604908}
19454  35448245576379521001048561000560957590199665137119952931297778557902245: {136129,194470,233364,252733,427702,602113,718429,738454,893734,1088696,1126534,1204102,1224783,1298929,1321444,1414813,1458075,1555280,1749690,1787284,1866336,2099628,2252836,2365702,2752102,2829334,2953208,3060934,3322359,3488413,3647764,3789435,4042064,4288513,4489023,4547322,4576276,4630333,4815416,4954395,5198593,5284688,5344075,5417343,5503636,5536695,5828902,5905808,5945274,5991133,6288214,6412890,6644034,6665519,6700935,6840416,6899734,6935439,7004929,7052727,7117213,7147664,7433974,7695468,8041122,8256475,8334183,8446395,8840195,8956054,9009488,9183814,9259702,9380343,9460856,9522170,9907770,10123156,10135674,10231933,10320454,10388216,10396102,10472231,10568288,10608234,10643463,10896303,11167075,11426604,11503396,11686743,11753335,11889324,11905702,11981014,12176967,12374999,12422173,12514935,12628850,12658102,12876123,12916295,13349264,13400490,13603100,14104002,14232934,14293856,14457334,14606854,14713876,14737503,14960330,15017922,15154620,15278902,15499554,16024102,16080588,16164928,16179359,16323720,16412435,16693414,16705983,16834539,16841974,17157495,17350429,17411968,17678570,17952396,18080951,18158635,18176134,18185544,18301328,18364185,18365716,18401629,18451850,18820093,19433000,19442423,19475895,19588464,19694922,19888075,19964929,20458737,20461702,20588994,20638756,20774288,20942306,21101053,21213435,21214284,21371900,21471608,21582183,21790362,21862125,21882959,21921853,22037022,22142220,22366774,22432513,22452004,22534429,22627664,22975043,23096614,23113370,23319600,23371074,23618368,23691063,23808916,23865690,23953693,23979995,24054529,24155559,24769174,24874240,25255100,25456122,25456736,25646280,25693075,25829930,25849351,26234550,26570664,26577574,26650993,26656588,27356032,27440113,27442054,27636673,27657814,27736044,27774890,27898616,27983520,28088902,28407071,28447702,28638828,28775994,28852065,28877734,28885143,29004529,29586433,29849088,29891997,29917580,30038099,30069373,30306120,30644408,30676143,30775536,30831690,30838333,30934129,30995916,31261370,31385943,31481460,31895956,31942774,32073159,32267713,32326528,32355386,32472056,32769435,32821490,32887136,32902562,32929213,33019100,33329868,33580224,33781702,33907863,34094385,34125796,34387075,34415734,34474959,34622478,34706929,34954064,35077873,35177639,35209208,35543703,35724253,35890102,35901096,36096203,36367344,36531063,36589702,36641533,36802695,36899900,36998028,37006429,37031096,37217974,37235476,37357414,37370173,37513644,37566454,37734807,37777752,38080840,38121364,38262214,38678902,38723953,38880842,39009927,39256208,39260929,39323322,39385788,39610359,39622920,39679995,40150129,40388733,40581530,40592029,40913262,41166934,41264490,41378435,41659983,41906929,41994013,42128902,42264448,42325328,42499971,42524463,42540214,42739400,42833703,42840945,42911570,43119553,43838902,44015456,44163234,44279880,44575785,44588134,44591079,44659100,44792134,45316767,45334129,45418333,45425595,45697008,46221980,46470639,46589629,46621654,46672753,47003660,47010296,47231872,47296294,47335153,47547504,47615994,47828395,47828929,47834854,47902102,48081825,48453968,48662164,48697836,49097764,49375453,49489804,49505223,49517388,49654122,49814865,49858429,50013435,50125735,50253770,50348039,50833706,50837284,50845174,50975293,51001125,51287280,51320935,51409134,51493884,51731895,51764413,51841414,51842929,52297527,52386843,52572196,52886583,52900102,52934593,53135856,53230102,53307688,53347664,53475133,53490942,53590920,53625574,53859073,53870356,54401200,54469633,54510714,54611734,54706432,54735863,54845823,54874102,55180688,55267174,55376833,55463494,55466376,55544060,56021816,56030471,56050429,56182102,56347933,56404392,56422129,56880795,57158902,57163648,57394074,57453313,57526429,57548614,57698190,57817208,57923831,58543959,58614529,59112050,59166214,59359654,59402173,59777838,59971149,60016122,60040129,60110653,60150882,60269403,60289785,60304524,60505976,60672848,60715625,61085882,61094134,61159873,61201350,61544736,61585122,61850353,62078274,62124529,62399673,62852583,62872573,62884855,63007654,63024543,63454941,63601559,63736804,63812029,64162324,64309104,64737373,65044359,65151399,65281440,65440695,65788102,65798348,65842033,65850934,66031400,66039334,66482113,66652872,66672733,66728902,66759608,67104214,67149435,67366129,67556116,67577635,67728454,67988929,68069223,68085127,68256954,68264823,68359153,68824036,68857095,68909629,69132027,69237828,69574513,69633536,69803408,69900694,70089364,70349053,70699720,70934460,70936573,71343553,71394225,71626064,71747014,71791100,71804353,71925770,71930854,72203773,72308908,72347742,72486913,72496839,72619580,72858750,73213702,73270129,73325533,73441620,73447568,73755395,73822102,73892127,74285325,74418493,74489494,74731702,74847613,74984481,75104559,75430129,75461826,75663424,75676935,75876983,76153840,76261873,76299814,76540102,76924093,77199574,77210596,77425213,77716000,77771713,77968129,77976454,78194090,78337728,78528834,78691174,78742273,79195895,79237680,79357693,79404529,79537185,79637629,80043530,80532964,80579322,80722064,80998429,81042673,81093162,81262813,81346935,81360676,81539155,81820294,81912433,82171702,82522534,82628514,82670593,82712029,82748330,82918199,83047702,83284573,83452303,83472807,83571574,83684893,83751976,83882353,83978134,84078013,84502129,84520192,84679383,84839664,84993125,85071124,85121352,85287613,85366102,85397233,85650493,85654102,85673070,86149320,86171494,86228902,86285533,86302756,86310924,86457793,86662129,86770064,86996929,87122404,87143496,87161629,87302395,87430500,87886774,88112029,88129944,88135095,88166523,88228102,88294333,88444273,88506474,88533687,88709629,88758244,89142390,89250673,89278429,89314946,90052033,90151414,90179293,90263974,90598513,90717853,90769702,90812322,90859370,91058279,91154929,91374529,91384608,91460353,91502833,91609876,91669873,91690429,91833094,91881244,91892608,91944694,91970653,92180929,92558173,92629922,93001702,93011773,93026929,93154535,93259200,93259633,93278902,93334294,93395713,93474563,93622513,93760753,93776854,93832908,93908929,93968113,93996733,93997640,93999423,94010768,94087453,94163254,94220973,94261693,94282753,94316413,94322929,94412029,94447396,94467073,94582129,94607473,94614493,94687125,94851604,95035074,95085216,95326939,95423111,95427334,95444622,95659156,95761521,96052236,96117087,96198751,96917985,97155595,97616322,97846986,97930102,98036433,98476516,98685094,98738902,98969416,99146187,99203279,99222454,99278884,99297996,99345656,99476480,99584283,99811702,...,9020811294610010698382059129088865312326126741318348038286436490613465662364734139333879727135989802048181269866119480561385197244244076623580326701081464986264743019400198878121949861638826077082013777119950839512139689765427289079162151514542102847485842641115527833811845305623155946636661612413021230810469007075162233009012581428778157463284120733306391759797427987512485847304534254866042878449677329027787371831152885654849954234123572840018854997973503589150055713991357121444614002637448904687835075708650754925986104352034801169688338056382741880252017364257113885518119627613937710537011798526937187369937912243791519812402381121987504556021101705509128312676283757642368835967370931951848187590267957791376993412238535623608117243408251139008148376152925415326119443619015330457137822014522863619836924678868919111590898274780228223282410197433075759320927637529915583514598765654621372798950699581813227315200355637832721343179209345968082461622391430049385785858068924436717918372092635598485881746883796775466259175356513886330039609070713548466488664962136290481169967913554077394219780760575327060398622678129803434260452796201823761655494683739936560140251666723938812044472426849492272842276937147307159885930994525464654814945677741744671991876493473252265006588635484943862470996603623741557249466659253818343301050316333515645598418830686941077963388178577944284852152601962969626201060756246256586999545285359452992892786187375530257644933129070004595951885281411417220547993293374213933802539725795353411455977736816216397643610828593949031857869139535433382617863543242764628239584889057302487237968503753634274207418074110380276950696078735791350463417617949223919770482007259974221738313829078684742709838849651523837306216444681205235271764314205954798950501649592897021600144102526508863671786008395123189146499485100290536429929085487851209277867363791853562412505278477858913962974089562986203759079997630444851348838737947492523867206842085016240123759081074336840119649171460365614181717196587232115675604235416511041158670785085885728708969403476460274250529458653710190020721578599169762715626026646012362965283702439842991947589513493401995989667461577713410077765616451637034515712859076526522322993554511739351504528083512769607766800159783436961866051731745081992441244670767472717774659230748105238542965878346937845227800581827471166322717524127936996664150061929132490411971967963709989667680270461577057586889174102765653154539323730835712289839262091589720730846317876799594648016702258668993310721952169913813170144337152287263381695698171130629953746256906803097174882461273916328099717809724913536498483458607931662351425601973147955728206363598190241551223688485720776902945787545011452061263705701154019280368630667469389588494604985205263830551733692004147065624767269198495397413047915103802676684536747067190042794233993583906767751444096923039804857114745555706609002023869453776661606520546486917426546572203853411655834895698132357947430921163987695809229461323091520185173509864076222209384079611291159357339185476106480900102017579907362}
19455  35587676491506850861538031048897295428810719818319051047364654360370664: {291705,311152,350046,641553,952609,1107681,1340601,1360870,1633044,1651805,1689801,1806153,1944100,1982166,2234105,2332920,2351393,2488448,2584057,2624535,2680926,2799504,2816045,3149442,3283501,3379254,3536806,3548553,3632849,3691510,4128153,4213489,4244001,4429812,4559705,4591401,4624102,4797481,4913513,5052580,5167582,5471646,5556694,5612669,5720345,5985364,6019270,6063096,6254206,6566326,6605860,6820983,6864414,6879545,7009537,7223124,7382260,7883302,7927032,8118814,8255454,8278249,8550520,8584966,8743353,8750753,8858712,8917911,8934580,9089689,9247252,9403636,9432321,9593974,9619335,9966051,10260624,10349601,10721496,11112244,11150961,11261860,11304953,11543202,11611366,11680606,11826070,12061683,12507124,12543382,12653945,12941801,12985270,13210360,13434081,13514232,13775721,13889553,14144312,14191284,14283255,14379245,14528404,14861655,15130313,15184734,15203511,15235472,15369133,15480681,15493409,15582324,15594153,15852432,15912351,16013662,16235956,16686580,17003875,17139906,17168164,17255094,17833986,17858553,17867320,17971521,18177502,18285713,18392345,18665686,18787657,18805336,18943275,18987153,19437137,19650004,19799206,20023896,20100735,20206160,20404650,20666072,21156003,21349401,21440784,21686001,21764960,21910281,22070814,22236889,22274644,22440495,22446052,22526883,22731930,22856734,22876660,22918353,22957145,23249331,23623001,23936528,24036153,24120882,24247392,24291250,24411289,24485580,25040121,25262961,25798445,25834873,25967860,26009302,26117952,26259896,26289161,26413577,26517855,26532589,26714875,26715286,26813857,26839510,26928594,27264201,27278316,27394861,27451992,27548574,27677775,28065005,28284580,28285712,28413049,28776244,29053816,29149500,29382696,29522960,29542383,29730454,29761145,29776301,30584806,30692553,30735094,30808057,30883491,30958134,31092800,31161432,31413459,31568875,31588084,31684894,31820920,31821426,32057850,32207412,32402209,32566013,32685543,33055533,33213330,33320735,33550161,33678006,33747766,33941496,34195040,34349182,34625182,34644921,34670055,34873270,34979400,35056611,35427552,35713374,35798535,36981392,37034662,37153761,37269502,37311360,37396975,37834681,37882650,38184183,38185104,38305510,38347486,38367992,38469420,38513524,38744895,39033334,39351825,39798784,39855996,39866361,39869945,39984882,40408160,40590070,40901524,41034048,41108920,41134009,41163081,41273875,41327888,41486721,41604066,41604502,41662335,41847924,41975280,42133353,42397222,42657245,42671553,42764212,42958242,43163991,43316601,43692580,44011510,44439824,44773632,44876370,44906614,44952029,45210484,45459180,45966612,46124875,46163304,46247535,46288870,46360534,46493874,46544345,46592617,46644227,46679206,46892055,47222190,47391604,47601050,47651705,47843934,47868128,47914161,48283102,48295741,48336214,48489792,48533079,48708084,48859037,49019089,49070260,49232235,49237793,49266502,49330704,49353843,49528650,49994802,50018192,50210081,50313076,50370336,50590057,50672553,51188694,51623601,51664414,51933717,52013236,52431096,52514384,52750633,52813812,52830560,52906660,52942729,53059702,53088742,53424250,53784406,53835153,53851644,54551016,54884553,55019320,55349850,55490633,55497042,55546644,55715881,55823875,55826961,55853214,56036121,56270466,56349681,56666628,56699284,57111604,57121260,57182046,57197101,57393321,57777475,58018353,58153913,58321263,58414657,58605137,58754575,58762870,58884312,58984983,59039840,59078682,59232833,59434380,59454772,59688481,59946857,60422356,60567460,60827705,60872295,60929344,61077982,61369893,61372205,61644886,61750401,61862255,61896735,61960852,62672806,63193353,63396672,63487992,63546605,63810321,64109100,64266622,64367355,64930448,65674201,65715245,65758353,65766454,66006964,66023184,66205496,66244851,66419820,66634610,66684580,66882201,66988650,67188201,67337945,67704166,68001500,68383040,68545512,68658512,68975860,69332970,69430075,69730036,69753814,69849124,69932481,70027270,70505490,70515444,70631806,70847808,70944441,71321256,71423991,71454560,71752281,71853153,71938093,72271510,72680952,72735097,72993246,73046754,73127764,73282979,73646646,73955168,74135249,74200054,74234706,74276082,74481183,75205856,75380655,75632470,75728614,75841060,75923806,76250559,76255926,76267761,76525432,76631561,76635197,76930920,77113701,77240826,77762121,77873197,78058612,78858294,79350153,79671005,79703784,79845153,79961532,80021496,80201176,80202905,80236413,80359204,80386380,80406032,80438361,80805534,80811377,81405481,81601800,81731254,81766071,81917601,82059648,82113496,82247935,82259422,82311153,82539250,82771032,82900761,83195241,83199564,83316090,83376262,83449510,83569657,83683366,83801789,83803444,84032724,84273153,84445145,84606588,84984281,85519561,85738353,85745472,86030045,86091111,86263846,86322921,86547285,86598239,86662966,86725812,86868532,86927449,87041920,87254260,87611705,88374650,88668075,88749321,88870496,89039481,89270302,89421533,89532580,89666757,89738875,90024183,90140633,90216913,90226323,90386135,90456786,90632854,90727609,90758964,90774475,91009272,91019764,91512989,91628823,91641201,91802025,91809460,92176036,92317104,92377683,92465581,92591873,93117411,93271337,93772489,94288414,94511481,94579280,95192300,95590534,95605206,95931262,96243486,96463656,96513245,96662452,96795094,97064729,97145000,97922160,98027902,98522836,98682153,98697522,98776401,99043609,99047100,99059001,99599206,99979308,...,13531216941915016047573088693633297968489190111977522057429654735920198493547101209000819590703984703072271904799179220842077795866366114935370490051622197479397114529100298317182924792458239115623020665679926259268209534648140933618743227271813154271228763961673291750717767958434733919954992418619531846215703510612743349513518872143167236194926181099959587639696141981268728770956801382299064317674515993541681057746729328482274931351185359260028282496960255383725083570987035682166921003956173357031752613562976132388979156528052201754532507084574112820378026046385670828277179441420906565805517697790405781054906868365687279718603571682981256834031652558263692469014425636463553253951056397927772281385401936687065490118357803435412175865112376708512222564229388122989179165428522995685706733021784295429755387018303378667386347412170342334923615296149613638981391456294873375271898148481932059198426049372719840972800533456749082014768814018952123692433587145074078678787103386655076877558138953397728822620325695163199388763034770829495059413606070322699732997443204435721754951870331116091329671140862990590597934017194705151390679194302735642483242025609904840210377500085908218066708640274238409263415405720960739828896491788196982222418516612617007987814740209878397509882953227415793706494905435612335874199988880727514951575474500273468397628246030411616945082267866916427278228902944454439301591134369384880499317928039179489339179281063295386467399693605006893927827922117125830821989940061320900703809588693030117183966605224324596465416242890923547786803709303150073926795314864146942359377333585953730856952755630451411311127111165570415426044118103687025695126426923835879655723010889961332607470743618027114064758274477285755959324667021807852907646471308932198425752474389345532400216153789763295507679012592684783719749227650435804644893628231776813916801045687780343618757917716788370944461134344479305638619996445667277023258106921238785800810263127524360185638621611505260179473757190548421272575794880848173513406353124766561738006177628828593063454105214690411375794187980565285031082367898754644073439039969018544447925553659764487921384270240102993984501192366570115116648424677455551773569288614789783484490331767609027256792125269154411650200239675155442799077597617622988661867006151209076661988846122157857814448817520406767841700872741206749484076286191905494996225092893698735617957951945564984501520405692365586380333761154148479731808985596253568434758893137384581096269476815199391972025053388003489966082928254870719755216505728430895072543547256695944930619385360204645762323691910874492149576714587370304747725187911897493527138402959721933592309545397285362326835532728581165354418681317517178091895558551731028920552946001204084382741907477807895745827600538006220598437150903797743096119571872655704015026805120600785064191350990375860151627166145384559707285672118333559913503035804180664992409780819730376139819858305780117483752343547198536921146381745981543713844191984637280277760264796114333314076119416936739036008778214159721350153026369861043}
19456  35727651933294971081090094890018507887615607830570082625629211613575113: {272258,388940,446959,466728,505466,525069,563383,855404,1028359,1204226,1436858,1476908,1607959,1787468,2041305,2177392,2253068,2408204,2430125,2449566,2597858,2642888,2646703,2829626,2916150,2973249,3110560,3221263,3499380,3574568,3732672,3794023,4021389,4199256,4505672,4724163,4731404,5068881,5305209,5504204,5537265,5614759,5658668,5906416,6067063,6121868,6315725,6644718,6936153,6976826,7295528,7304959,7481705,7578870,7751373,7976503,8084128,8207469,8257325,8335041,8422759,8577026,8978046,9028905,9094644,9152552,9227825,9260666,9381309,9630832,9644023,9849489,9908790,10296621,10397186,10526743,10569376,10688150,10834686,11007272,11073390,11076103,11168225,11559065,11623663,11657804,11754545,11811616,11824953,11890548,11982266,12178221,12278359,12376273,12383181,12387223,12576428,12821959,12825780,12877449,13288068,13331038,13401870,13680832,13799468,13870878,13890305,13903759,14009858,14077325,14105454,14234426,14295328,14390961,14867948,15390936,15619663,15633905,16045759,16082244,16454669,16512950,16668366,16892790,17314803,17417049,17520909,17633359,17680390,17739105,17912108,18018976,18082813,18160505,18367628,18519404,18682759,18760686,18815073,18921712,19044340,19477905,19815540,20243359,20246312,20271348,20294945,20463866,20640908,20776432,20792204,20858225,20944462,21136576,21216468,21286926,21460205,21685303,21792606,22298959,22334150,22777101,22853208,22977409,23006792,23373486,23506670,23720743,23778648,23811404,23962028,24020493,24353934,24562505,24727663,24749998,24844346,25029870,25257700,25316204,25422089,25428223,25709859,25752246,25832590,25852013,25882641,26698528,26750979,26800980,26917543,27206200,27266253,27803359,27843305,27998529,28057565,28208004,28465868,28587712,28595825,28878103,28914668,29213708,29427752,29475006,29654263,29698809,29920660,30035844,30309240,30329623,30549233,30557804,30606975,30999108,31574503,32048204,32161176,32329856,32358718,32459825,32523823,32647440,32824870,32995783,33106221,33386828,33411966,33571993,33669078,33683948,34097895,34285101,34314990,34493959,34586983,34700858,34823936,35355725,35357140,35513263,35881759,35904792,35970305,35973703,36161902,36181323,36317270,36352268,36371088,36436875,36602656,36728370,36731432,36803258,36889183,36903700,37640186,38866000,38884846,38951790,38967463,39013953,39056959,39176928,39389844,39414223,39485105,39776150,39929858,39940769,39947959,40036663,40072929,40259265,40302343,40392891,40917474,40923404,41177988,41270959,41277512,41322861,41548576,41884612,42056983,42202106,42426870,42428568,42659149,42743800,42943216,43164366,43580724,43724250,43765918,43843706,44074044,44284440,44294959,44595681,44733548,44865026,44904008,45068858,45142759,45255328,45877209,45950086,45983359,46102641,46193228,46226740,46437201,46639200,46742148,47148103,47236736,47382126,47527341,47617832,47731380,47732139,47907386,47959990,48053359,48086775,48109058,48135223,48141905,48311118,48380383,48868759,48949903,49538348,49676959,49748480,49819995,50510200,50517009,50621649,50912244,50913472,51126905,51192703,51292560,51386150,51523773,51659860,51698702,51937773,52058359,52309905,52469100,53141328,53155148,53301986,53313176,53455265,53570061,53686783,54069823,54451063,54615725,54712064,54880226,54884108,55208143,55273346,55315628,55472088,55549780,55551993,55797232,55904253,55967040,56177804,56255959,56513105,56814142,56823975,56895404,57277656,57458265,57521229,57551988,57704130,57755468,57770286,57801223,57929809,58009058,58525903,58550001,59172866,59239505,59698176,59783994,59835160,59977323,60076198,60138746,60612240,60885105,61005583,61288816,61337825,61352286,61551072,61663380,61676666,61697863,61868258,61972759,61991832,62406099,62406753,62522740,62654959,62722783,62771886,62891345,62962920,63262783,63595833,63597943,63791912,63885548,64146318,64394983,64437363,64535426,64653056,64710772,64944112,64985959,65016545,65538870,65642980,65700343,65774272,65805124,65858426,65957959,66017265,66038200,66133325,66659736,66959753,67160448,67314555,67359921,67479463,67563404,67815726,68188770,68251592,68774150,68776759,68831468,68949918,69080959,69244956,69383359,69413858,69433305,69540801,69683959,69740811,69908128,70018809,70155746,70176029,70220503,70338943,70355278,70418416,70516063,70833285,70874105,71087406,71389505,71401575,71448506,71507503,71680303,71765901,71780204,71802192,71849309,71966863,72192406,72365023,72424653,72504321,72734688,72780653,73062126,73095103,73179404,73283066,73605390,73703359,73799800,73899753,73996056,74012858,74062192,74292975,74318465,74435948,74470952,74714828,74740346,74840383,74992203,75000223,75027288,75053359,75132908,75469614,75527945,75555504,75709325,75893743,76161680,76242728,76524428,76783041,77357804,77369959,77447906,77451065,77496621,77761684,78019854,78060943,78352759,78512416,78521858,78646644,78771576,79220718,79245840,79259743,79359990,79540759,79589553,79633113,79819183,80003359,80136375,80300258,80464241,80638903,80676609,80777466,81163060,81184058,81391663,81781759,81826524,82166023,82333868,82508705,82528980,82669303,82756870,83024775,83080783,83243359,83245563,83319966,83355725,83779821,83813858,83882143,83988026,84038959,84257804,84405699,84528896,84616759,84650656,84999942,85001875,85048926,85080428,85478800,85667406,85681890,85773069,85823140,86078359,86219825,86239106,86732263,86966623,87065983,87098959,87162545,87295303,87311405,87424759,87616783,87677804,87774823,87868783,88030912,88038797,88144305,88177303,88207759,88326468,88388983,88508359,88559760,88618023,88772743,88974343,89151570,89176268,89182158,89318200,89584268,89611903,89745463,89771959,89798383,89877223,89929423,90058663,90286759,90311743,90410959,90633534,90668258,90749143,90836666,90851190,91004959,91207783,91317943,91394016,91409705,91426303,91616973,91679023,91941103,92428759,92443960,92467329,92586223,92770759,92787103,92835703,92941278,92946583,93179258,93243308,93270221,93299959,93345506,93354823,93381823,93671623,93861343,93892663,94007320,94009209,94020592,94057903,94102543,94145383,94358359,94364623,94444759,94463744,94469959,94510783,94538503,94592588,94595959,94608689,94622959,94632463,94670306,94801325,95095008,95231988,95656790,95657858,95669708,95804204,96163650,96399933,96907936,97324328,97395672,97573265,98195528,98625449,98649681,98750906,98979608,99010446,99034776,99308244,99629730,99716858,99951915,...,18041622589220021396764118258177730624652253482636696076572872981226931324729468278667759454271979604096362539732238961122770394488488153247160653402162929972529486038800397756243899723277652154164027554239901679024279379530854578158324303029084205694971685282231055667623690611246311893273323224826042461620938014150324466018025162857556314926568241466612783519594855975024971694609068509732085756899354658055574743662305771309699908468247145680037709995947007178300111427982714242889228005274897809375670151417301509851972208704069602339376676112765483760504034728514227771036239255227875421074023597053874374739875824487583039624804762243975009112042203411018256625352567515284737671934741863903696375180535915582753986824477071247216234486816502278016296752305850830652238887238030660914275644029045727239673849357737838223181796549560456446564820394866151518641855275059831167029197531309242745597901399163626454630400711275665442686358418691936164923244782860098771571716137848873435836744185271196971763493767593550932518350713027772660079218141427096932977329924272580962339935827108154788439561521150654120797245356259606868520905592403647523310989367479873120280503333447877624088944853698984545684553874294614319771861989050929309629891355483489343983752986946504530013177270969887724941993207247483114498933318507636686602100632667031291196837661373882155926776357155888569704305203925939252402121512492513173999090570718905985785572374751060515289866258140009191903770562822834441095986586748427867605079451590706822911955473632432795287221657187898063715738279070866765235727086485529256479169778114604974475937007507268548414836148220760553901392157471582700926835235898447839540964014519948443476627658157369485419677699303047674612432889362410470543528628411909597901003299185794043200288205053017727343572016790246378292998970200581072859858170975702418555734727583707124825010556955717827925948179125972407518159995260889702697677475894985047734413684170032480247518162148673680239298342920731228363434393174464231351208470833022082317341570171771457417938806952920548501058917307420380041443157198339525431252053292024725930567404879685983895179026986803991979334923155426820155531232903274069031425718153053044645987109023478703009056167025539215533600319566873923732103463490163984882489341534945435549318461496210477085931756693875690455601163654942332645435048255873993328300123858264980823943935927419979335360540923154115173778348205531306309078647461671424579678524183179441461692635753599189296033404517337986621443904339827626340288674304574526763391396342261259907492513813606194349764922547832656199435619449827072996966917215863324702851203946295911456412727196380483102447376971441553805891575090022904122527411402308038560737261334938779176989209970410527661103467384008294131249534538396990794826095830207605353369073494134380085588467987167813535502888193846079609714229491111413218004047738907553323213041092973834853093144407706823311669791396264715894861842327975391618458922646183040370347019728152444418768159222582318714678370952212961800204035159814724}
19457  35868174013150547697362455614704280430788319079685678352060780015289149: {19457,408387,486175,583410,622304,700092,758199,1069255,1283106,1806339,1846135,1905218,2155287,2215362,2234335,2312527,2681202,2721740,2778919,2816335,3010255,3127747,3266088,3303610,3379602,3612306,3633223,3674349,3888200,3896787,3942463,3964332,4060243,4244439,4293367,4374225,4468210,4665840,4702786,4914019,4976896,5168114,5249070,5361852,5599008,5613247,5632090,5806879,5914255,6194023,6272983,6298884,6383587,6567002,6758508,6880255,7073335,7073612,7097106,7265698,7383020,7592047,7652335,8008483,8256306,8426978,8488002,8859624,9119410,9177619,9182802,9248204,9594962,9631363,9827026,9967077,10105160,10335164,10341799,10465239,10943292,11113388,11225338,11368305,11440690,11970728,12038540,12126192,12204487,12508412,12582163,12865539,13132652,13211720,13360399,13467069,13641966,13728828,13759090,13834339,13890999,14019074,14282323,14446248,14572255,14764520,14863185,15556519,15595779,15720535,15766604,15854064,16032225,16237628,16252029,16510908,16556498,16610085,17101040,17169932,17249335,17316163,17467687,17486706,17501506,17715523,17717424,17835822,17869160,17881279,17973399,18179378,18494504,18584935,18807272,18864642,19177699,19187948,19238670,19439143,19932102,19996557,20096023,20102805,20130943,20521248,20699202,20806317,20806543,20957347,21014787,21158181,21351639,21442992,21723859,22065847,22224488,22301922,22390135,22523720,22609906,22959535,23051143,23086404,23149255,23222732,23361212,23625439,23652140,23805425,24030919,24123366,24769425,25002549,25014248,25086764,25307890,25339185,25749283,25801135,25883602,25970540,25990255,26416303,26420720,26520585,26868162,26988643,27028464,27180319,27551442,27779106,28141029,28235203,28288624,28382568,28566510,28758490,29056808,29098663,29397943,29723310,29764255,29952535,30260626,30369468,30407022,30470944,30695799,30738266,30961362,30986818,31164648,31188306,31416693,31572125,31645255,31704864,31824702,31829839,31930389,32027324,32140003,32471912,32688909,33312103,33373160,33501225,33689647,34007750,34154599,34279812,34336328,34510188,35060229,35166727,35260005,35582335,35667972,35717106,35734640,35943042,36117823,36143335,36355004,36517135,36530901,36571426,36676519,36784690,37124997,37266519,37331372,37400825,37544805,37575314,37610672,37886550,37936723,37974306,38197255,38628369,38748885,38874274,39291007,39300008,39598412,40047792,40060255,40201470,40412320,40809300,41332144,41665603,41712583,41733535,42104935,42312006,42698802,42881568,43001143,43372002,43529920,43820562,44141628,44196425,44212509,44473778,44549288,44880990,44892104,44910559,45053766,45440335,45463860,45608263,45713468,45753320,45836706,45914290,46129625,46498662,46649029,47246002,47873056,47989843,48072306,48241764,48494784,48538077,48582500,48822578,48971160,49237305,49242919,49514863,50080242,50117949,50240503,50495203,50503617,50525922,51154255,51472485,51596890,51669746,51935720,52018604,52051287,52235904,52355765,52519792,52578322,52827154,53035710,53065178,53429750,53430572,53627714,53679020,53857188,54242853,54475905,54528402,54556632,54607159,54716047,54789722,54903984,55092555,55097148,55204887,55355550,55496419,55817923,55916935,56130010,56460279,56569160,56571424,56664247,56826098,57552488,57741535,57783425,58107632,58190119,58299000,58327269,58427685,58765392,59045920,59084766,59259943,59460908,59522290,59552602,59654419,59664225,59720143,59894787,61067359,61169612,61376211,61385106,61470188,61616114,61766982,61916268,61922935,62185600,62322864,62501503,62826918,63137750,63176168,63303159,63369788,63640305,63641840,63642852,64081123,64115700,64414824,64574825,64632403,64746549,64804418,65132026,65162083,65371086,65499859,65579839,65586375,65648877,65765559,65790199,66111066,66426660,66443935,66641470,66712387,67100322,67297539,67356012,67495532,67603287,67882992,68390080,68605135,68698364,68925129,69144535,69250364,69289842,69340110,69437225,69746540,69958800,70002439,70113222,70222255,70855104,71073189,71085583,71119255,71426748,71597070,71861079,71939985,72163587,72194335,72195103,72466677,72750079,73962784,74004547,74069324,74142967,74307522,74539004,74622720,74788423,74793950,75374563,75669362,75765300,76078927,76368366,76370208,76611020,76694972,76735984,76831663,76938840,77021923,77027048,77079225,77489790,77548053,77753959,78066668,78153425,78256519,78703650,79597568,79711992,79732722,79739890,79856935,79952979,79969764,80816320,80888465,81180140,81803048,81920383,82053725,82068096,82217840,82256405,82268018,82320339,82326162,82547750,82655776,82857043,82910019,82973442,83208132,83209004,83324670,83695848,83810527,83950560,84266706,84454255,84708583,84794444,85158787,85221213,85314490,85343106,85528424,85647463,85916484,85921087,86039335,86327982,86556195,86607157,86633202,86655429,87013587,87162847,87385160,88023020,88759299,88879648,88965247,89547264,89675991,89725255,89752740,89813228,89904058,90045859,90114297,90208119,90238567,90420968,90558919,90918360,91474255,91659823,91900483,91933224,92001343,92028429,92164327,92249750,92326608,92495070,92514999,92577740,92721068,92802387,92987748,93044935,93088690,93185234,93288454,93358412,93393535,93493783,93660823,93783559,93784110,93916135,94157829,94273123,94444380,94783208,95202100,95303410,95655535,95687868,95736256,95828322,96219477,96566204,96591482,96672428,96697255,96803139,96979584,97066158,97202105,97416168,97495123,97718074,98038178,98140520,98308305,98464470,98475586,98533004,98533219,98661408,98707686,98787639,98879023,99057300,99703843,99921559,99989604,...,27062433883830032095146177387266595936978380223955044114859309471840396987094202418001639181407969406144543809598358441684155591732732229870740980103244394958794229058200596634365849584916478231246041331359852518536419069296281867237486454543626308542457527923346583501435535916869467839909984837239063692431407021225486699027037744286334472389852362199919175279392283962537457541913602764598128635349031987083362115493458656964549862702370718520056564993920510767450167141974071364333842007912346714063505227125952264777958313056104403509065014169148225640756052092771341656554358882841813131611035395580811562109813736731374559437207143365962513668063305116527384938028851272927106507902112795855544562770803873374130980236715606870824351730224753417024445128458776245978358330857045991371413466043568590859510774036606757334772694824340684669847230592299227277962782912589746750543796296963864118396852098745439681945601066913498164029537628037904247384867174290148157357574206773310153755116277906795457645240651390326398777526069541658990118827212140645399465994886408871443509903740662232182659342281725981181195868034389410302781358388605471284966484051219809680420755000171816436133417280548476818526830811441921479657792983576393964444837033225234015975629480419756795019765906454831587412989810871224671748399977761455029903150949000546936795256492060823233890164535733832854556457805888908878603182268738769760998635856078358978678358562126590772934799387210013787855655844234251661643979880122641801407619177386060234367933210448649192930832485781847095573607418606300147853590629728293884718754667171907461713905511260902822622254222331140830852088236207374051390252853847671759311446021779922665214941487236054228129516548954571511918649334043615705815292942617864396851504948778691064800432307579526591015358025185369567439498455300871609289787256463553627833602091375560687237515835433576741888922268688958611277239992891334554046516213842477571601620526255048720371277243223010520358947514381096842545151589761696347026812706249533123476012355257657186126908210429380822751588375961130570062164735797509288146878079938037088895851107319528975842768540480205987969002384733140230233296849354911103547138577229579566968980663535218054513584250538308823300400479350310885598155195235245977323734012302418153323977692244315715628897635040813535683401745482413498968152572383810989992450185787397471235915903891129969003040811384731172760667522308296959463617971192507136869517786274769162192538953630398783944050106776006979932165856509741439510433011456861790145087094513391889861238770720409291524647383821748984299153429174740609495450375823794987054276805919443867184619090794570724653671065457162330708837362635034356183791117103462057841105892002408168765483814955615791491655201076012441196874301807595486192239143745311408030053610241201570128382701980751720303254332290769119414571344236667119827006071608361329984819561639460752279639716611560234967504687094397073842292763491963087427688383969274560555520529592228666628152238833873478072017556428319442700306052739722086}
19458  36009244850608820675563871584897637032583120011047103242755457863713182: {213917,330497,544516,563441,602237,718577,777880,796097,875115,893918,933456,1010932,1050138,1126766,1299197,1376477,1530941,1710808,1924659,2056718,2408452,2685341,2857827,2873716,2877041,2953816,3030257,3215918,3323043,3402175,3574936,3679997,3832541,4021803,4082610,4354784,4365437,4506136,4593341,4816408,4820957,4860250,4899132,4955415,5069403,5195716,5285776,5293406,5313137,5418459,5659252,5832300,5946498,6067697,6221120,6442526,6443777,6702315,6998760,7054179,7149136,7230941,7417841,7465344,7588046,7752171,7873605,8014577,8042778,8398512,8448135,8535041,8683457,8842015,9011344,9090941,9228775,9448326,9460541,9462808,9850503,10137762,10234097,10344317,10474387,10610418,10645659,10898547,11008408,11074530,11229518,11296541,11317336,11560255,11661341,11812832,12134126,12243736,12384459,12424817,12631450,12640467,12732003,12918955,13148657,13289436,13293041,13617437,13679115,13774203,13833341,13872306,13891735,13953652,14156657,14392443,14591056,14609918,14694077,14740539,14872817,14963410,15048175,15157740,15300977,15502746,15635515,15953006,16168256,16182691,16414938,16415815,16456363,16514650,16670082,16838007,16845518,17037341,17154052,17161035,17354177,17424497,17956092,18055937,18057810,18189288,18305104,18405617,18455650,18521332,18762618,18789341,18998237,19261664,19288046,19446427,19519217,19698978,19708255,19817580,19969277,20038397,20297035,20462949,20486897,20593242,20638635,20693441,20794372,21028611,21053486,21071357,21138752,21376300,21414077,21462415,21669372,21887467,21926657,22014544,22146780,22152206,22336450,22403441,22912541,23118130,23217137,23247326,23315608,23419841,23509090,23623232,23649906,23781096,23964532,23984935,24059837,24356442,24556718,24630017,24752546,24766362,24774446,24834747,24964337,25152856,25264541,25424707,25431041,25643918,25651560,25754898,26230059,26252259,26458877,26576136,26623937,26662076,26722877,26753733,26803740,26920541,27269067,27361664,27598936,27741041,27741756,27780610,27807518,28019716,28035197,28154650,28210908,28296963,28412923,28468852,28590656,28686557,28781922,28858005,28881341,28913777,29028415,29201515,29565175,29657597,29689841,29735896,29898153,30044287,30140417,30333041,30525377,30552379,30781872,31048803,31239326,31267810,31358455,31419137,31609841,31800257,32091518,32164488,32275037,32463175,32748017,32909338,32999537,33025900,33030941,33187841,33336732,33452883,33469757,33785580,33914859,34125041,34387507,34629606,34714877,34834098,35041818,35266718,35332637,35360780,35478210,35517341,35824216,35977841,36037952,36103639,36161537,36165626,36185049,36321010,36436541,36735256,36923837,37014977,37038808,37075697,37365518,37521372,37630146,37843424,37961835,38088680,38732957,38825403,38955810,38971997,38980627,39001841,39280591,39631080,40034155,40070897,40218557,40302243,40486718,40492624,40542696,40589890,40660337,40927732,41100317,41188097,41281816,41327163,41480177,41552864,41584408,41625917,41668659,41716450,41888924,42061937,42273152,42432936,42573852,42698177,42842237,42849765,42920410,43137735,43215857,43370606,43530941,43585212,44498717,44584965,44597918,44639683,44668300,44838077,45232541,45390939,45401117,45443755,45554202,45610533,45653441,45706416,45954818,46013584,46107399,46183997,46442043,46480227,46600817,46656257,46664215,46746972,46782459,47013340,47202727,47346557,47441486,47557296,47622808,47737053,47924056,47977217,48040986,48549341,48707868,48982877,49125010,49455326,49498015,49499996,49521917,49688692,49870577,49924097,50059740,50358427,50515400,50563841,50632408,50829041,50844178,50856446,50961341,51011625,51419718,51504492,51665180,51704026,51765282,51907997,52143041,52403441,52947677,53397056,53501958,53565341,53575659,53601960,53719037,53835086,53914563,53923517,54102017,54229277,54412400,54457841,54483197,54532506,54857139,55177035,55279147,55315457,55440797,55606718,55686610,55840541,55997058,56115130,56337341,56362971,56416008,56559857,56732477,56829825,56855537,56931736,56961459,57141835,57175424,57191650,57756206,57829336,57954077,58195997,58268417,58311411,58413041,58427416,58533341,58629437,58855504,58950012,59250941,59308526,59397618,59464817,59841320,60071688,60102557,60302205,60407537,60547841,60618480,60659246,60728125,60757757,60874097,61036637,61098466,61115608,61213950,61221917,61912157,61998216,62049341,62481857,62956541,63149006,63271037,63293441,63405341,63468009,63628541,64048203,64096408,64271297,64322352,64425437,64535297,64659712,64717436,64732541,64863677,64919650,65023255,65047646,65058003,65146817,65294880,65471837,65579777,65649740,65730843,65795057,65991566,66212442,66223217,66690497,66710667,66773656,66788215,66823932,67098775,67143986,67321485,67338156,67367896,67384157,67398667,67509341,67580649,67945217,68007197,68195790,68254397,68570202,68629980,68724977,68755059,68871435,68987918,69150941,69173966,69271997,69401716,69573377,69647872,69747993,69952541,70249841,70368257,70663037,70711450,70714280,70869003,71026526,71421041,71577667,71763518,71809584,71940610,71947406,71995841,72108459,72323804,72362646,72375041,72393917,72488177,72634540,72657341,72704536,72742176,72769757,72873750,73205312,73233867,73456740,73462864,73606516,73778366,73807400,74223041,74326135,74475377,74690417,74837371,74868737,75117041,75120363,75280372,75486557,75788883,75800477,75973757,76335041,76462015,76837735,76996637,77247857,77395335,77447537,77504619,77732000,77769692,77903580,77934926,78023357,78027906,78088541,78113918,78169841,78353856,78428657,78717377,78779688,78813041,78828446,78867483,78970210,79050941,79118347,79212235,79240731,79521341,79552300,79553565,79597767,79692017,79738397,79846337,79859716,79881538,79895918,80073326,80144625,80145858,80441571,80518530,80604686,80605937,80785782,80800157,81022577,81096317,81418397,81635777,81707837,81792603,81834948,81846808,82184583,82192541,82319297,82355976,82403441,82541918,82555024,82645722,82695677,82806077,82888541,82935307,82970717,83033325,83097152,83147777,83296541,83710577,83769224,83895041,83908157,84113966,84168797,84195015,84369415,84404212,84528317,84553757,84667841,84853740,84857136,85092977,85228541,85239147,85318298,85484657,85487600,85593341,85701377,85844417,85872955,85886432,86013499,86328732,86405057,86473841,86562955,86712317,86746097,86913917,86991617,87024797,87046877,87161448,87183175,87211457,87448500,87513857,87531836,87630941,87687412,87893441,88047883,88140737,88148088,88292957,88353341,88493117,88568880,88589918,88627149,88738817,88797041,88989041,88998557,89191362,89283435,89308097,89328903,89464157,89467096,89581937,89626877,89635841,89680541,89730052,89760497,89808016,89901041,89953217,90082397,90137716,90285518,90409841,90459137,90510656,90645437,90701297,90764657,90772541,91023163,91088897,91230941,91333757,91701917,91754418,91864541,91900172,91963841,91966718,92077659,92150717,92205282,92226077,92250941,92373341,92386456,92424171,92453480,92574077,92586655,92602817,92650473,92852477,92857841,92874402,92968637,93145457,93173755,93194177,93278400,93372017,93376541,93439037,93484296,93529841,93546737,93633341,93689117,93803357,93825341,93847037,93900017,94013441,94078877,94120541,94123457,94163441,94204541,94215197,94240377,94291037,94296206,94302977,94326257,94359677,94372541,94449137,94452737,94473472,94485341,94539197,94543217,94557341,94558577,94596797,94621757,94633277,94637057,94641341,94643441,94650737,94651841,94653341,94706625,94764252,95054682,95094103,95235664,95462760,95464278,95763775,95814772,95868715,95919980,96106718,96173550,96218116,96270446,96283810,96622236,96760766,97206627,97583335,97698039,97737518,97899806,98056629,99076696,99166599,99223747,99353918,99496960,99639990,99945307,99962205,...,40593650825745048142719266080899893905467570335932566172288964207760595480641303627002458772111954109216815714397537662526233387599098344806111470154866592438191343587300894951548774377374717346869061997039778777804628603944422800856229681815439462813686291885019875252153303875304201759864977255858595538647110531838230048540556616429501708584778543299878762919088425943806186312870404146897192953023547980625043173240187985446824794053556077780084847490880766151175250712961107046500763011868520071095257840688928397166937469584156605263597521253722338461134078139157012484831538324262719697416553093371217343164720605097061839155810715048943770502094957674791077407043276909390659761853169193783316844156205810061196470355073410306236527595337130125536667692688164368967537496285568987057120199065352886289266161054910136002159042236511027004770845888448840916944174368884620125815694445445796177595278148118159522918401600370247246044306442056856371077300761435222236036361310159965230632674416860193186467860977085489598166289104312488485178240818210968099198992329613307165264855610993348273989013422588971771793802051584115454172037582908206927449726076829714520631132500257724654200125920822715227790246217162882219486689475364590946667255549837851023963444220629635192529648859682247381119484716306837007622599966642182544854726423500820405192884738091234850835246803600749281834686708833363317904773403108154641497953784117538468017537843189886159402199080815020681783483766351377492465969820183962702111428766079090351551899815672973789396248728672770643360411127909450221780385944592440827078132000757861192570858266891354233933381333496711246278132354311061077085379280771507638967169032669883997822412230854081342194274823431857267877974001065423558722939413926796595277257423168036597200648461369289886523037037778054351159247682951307413934680884695330441750403137063341030856273753150365112833383403033437916915859989337001831069774320763716357402430789382573080556915864834515780538421271571645263817727384642544520540219059374299685214018532886485779190362315644071234127382563941695855093247103696263932220317119907055633343776660979293463764152810720308981953503577099710345349945274032366655320707865844369350453470995302827081770376375807463234950600719025466328397232792852868965985601018453627229985966538366473573443346452561220303525102618223620248452228858575716484988675278681096206853873855836694953504561217077096759141001283462445439195426956788760705304276679412153743288808430445598175916075160164010469898248784764612159265649517185292685217630641770087834791858156080613937286971075732623476448730143762110914243175563735692480581415208879165800776928636191856086980506598185743496063256043952551534275686675655193086761658838003612253148225722433423687237482801614018661795311452711393229288358715617967112045080415361802355192574052971127580454881498436153679121857016355000679740509107412541994977229342459191128419459574917340352451257030641595610763439145237944631141532575953911840833280794388342999942228358250810217108026334642479164050459079109583129}
19459  36150866573364674087545577945298270454277734599026134356243220472324626: {38914,680645,816774,972350,1166820,1244608,1263665,1340877,1400184,1496957,1516398,1575207,1690149,2138510,2566212,2584589,3010565,3085077,3128069,3284177,3592145,3612678,3692270,3810436,3942869,4060661,4214357,4293809,4310574,4430724,4468670,4625054,4798469,4823877,5362404,5443480,5557838,5632670,5807477,6020510,6123915,6255494,6273629,6494645,6532176,6607220,6621197,6759204,7010981,7074065,7224612,7266446,7290375,7320209,7348698,7776400,7793574,7884926,7928664,7940109,8120486,8279957,8485229,8488878,8586734,8748450,8919747,8936420,9331680,9405572,9632357,9663789,9828038,9902669,9953792,10336228,10498140,10713269,10723704,10846277,11198016,11226494,11264180,11382069,11613758,11828510,12064167,12388046,12545966,12597768,12767174,13008677,13134004,13517016,13640309,13760510,14146670,14147224,14172489,14194212,14283797,14531396,14766040,14869829,15184094,15206643,15304670,15915627,16016966,16512612,16611795,16844277,16853956,16879109,16976004,17442065,17719248,18201189,18238820,18355238,18365604,18384977,18496408,18947175,19189924,19262726,19522709,19654052,19934154,20098097,20210320,20401157,20670328,20683598,20808459,20930478,21442565,21726101,21886584,21914877,22008749,22226776,22241477,22445115,22450676,22460261,22736610,22881380,23151665,23254119,23929509,23941456,24077080,24149069,24175589,24252384,24408974,24622407,24640877,24661829,24771975,25005123,25016824,25164326,25268277,25731078,25992965,26018909,26265304,26423440,26720375,26720798,26934138,27086715,27283932,27457656,27518180,27668678,27683475,27781998,28038148,28143927,28238117,28400177,28564646,28892496,28932069,29144510,29400977,29523461,29529040,29548467,29726370,29955665,30831989,30889863,31113038,31191558,31346189,31441070,31533208,31580229,31708128,31895669,32064450,32143349,32408957,32475256,32504058,33021816,33112996,33220170,33228309,33327595,33504675,34202080,34339864,34389329,34498670,34632326,34677195,34870989,34935374,34973412,35003012,35024645,35263635,35431046,35434848,35474859,35586065,35671644,35738320,35762558,35820677,35824049,35946798,36121589,36358756,36386357,36534663,36835077,36989008,37128819,37149543,37161669,37169870,37614544,37729284,38355398,38360597,38375896,38465877,38477340,38632347,38878286,39303989,39368849,39864204,39993114,40192046,40205610,40261886,41042496,41282375,41398404,41612634,41613086,41669957,41670915,41711277,41914694,41933549,42029574,42136061,42231975,42316362,42703278,42885984,43172883,43344977,43447718,44131694,44200975,44303357,44448976,44603844,44649077,44780270,44834309,45047440,45219812,45799877,45919070,46102286,46172808,46298510,46445464,46722424,46858989,46901715,47250878,47304280,47610850,48060101,48061838,48137277,48246732,48412661,49296689,49364007,49538850,49815269,50005098,50028496,50173528,50600669,50615780,50678370,50917757,50973941,51123989,51159665,51498566,51602270,51767204,51941080,51944409,51980510,52251147,52361155,52562727,52832606,52841440,52900077,53041170,53217315,53476157,53736324,53977286,54056928,54248439,54360638,54383729,54481515,55102884,55340141,55558212,55835375,56048277,56084357,56282058,56401589,56445219,56470406,56577248,56715269,56765136,57133020,57516980,58113616,58196177,58197326,58426949,58433715,58766675,58795886,58946909,59446620,59528510,59676149,59905070,60521252,60730077,60738936,60814044,60884835,60941888,61153229,61391598,61476532,61874995,61922724,61973636,62110865,62329296,62376612,62574675,62833386,63144250,63155969,63290510,63330629,63409728,63616469,63649404,63659678,63663569,63860778,64054648,64280006,64380615,64581475,64639157,64943824,65055909,65278901,65377818,65586677,66231701,66624206,66746320,66896877,67002450,67379294,68015500,68309198,68331303,68559624,68672656,68932227,68981597,68999477,69020376,69854621,70120458,70333454,70500677,70520010,71162229,71164670,71335944,71434212,71469280,71615957,71783429,71886084,72061479,72235646,72254477,72286670,72710008,72859229,73034270,73061802,73142852,73298071,73353038,73569380,73624709,73687515,74182989,74249994,74533038,74662744,74796209,74799377,74801650,75089610,75150628,75221344,75773100,75873446,75948612,75988037,76266267,76284669,76383749,76394510,76423349,77029997,77129577,77256738,77497770,77556039,77647923,77748548,78283709,78582014,78600016,79196824,79498661,80095584,80120510,80252937,80402940,80579549,80730929,80752629,80824640,80838149,80896795,81618600,81798759,82062175,82664288,82865669,83116301,83195717,83331206,83410077,83425166,83467070,83529915,83587061,83995587,84172695,84209870,84624012,85029389,85397604,85763136,85787475,86002286,86291921,86634309,86692109,86744004,86752145,87059840,87641124,87749969,88047749,88283256,88392850,88425018,88840709,88947556,88962789,89079029,89096427,89098576,89761980,89784208,89821118,90107532,90404755,90793175,90880670,90927720,90988869,91025909,91075109,91216526,91426936,91506640,91647699,91673412,91794461,91820925,91828580,92008145,92259250,92484977,92997324,93021509,93098261,93298058,93474869,93670589,94100465,94489229,94492004,94723509,95746112,95979686,96047189,96144612,96483528,96802349,96989568,97076154,97165000,97212115,97379475,97571469,97645156,97942320,98311157,98474610,98485838,98543477,98987349,99029726,99267569,99318663,99440375,99566957,99824645,...,54124867767660064190292354774533191873956760447910088229718618943680793974188404836003278362815938812289087619196716883368311183465464459741481960206488789917588458116401193268731699169832956462492082662719705037072838138592563734474972909087252617084915055846693167002871071833738935679819969674478127384862814042450973398054075488572668944779704724399838350558784567925074915083827205529196257270698063974166724230986917313929099725404741437040113129987841021534900334283948142728667684015824693428127010454251904529555916626112208807018130028338296451281512104185542683313108717765683626263222070791161623124219627473462749118874414286731925027336126610233054769876057702545854213015804225591711089125541607746748261960473431213741648703460449506834048890256917552491956716661714091982742826932087137181719021548073213514669545389648681369339694461184598454555925565825179493501087592593927728236793704197490879363891202133826996328059075256075808494769734348580296314715148413546620307510232555813590915290481302780652797555052139083317980237654424281290798931989772817742887019807481324464365318684563451962362391736068778820605562716777210942569932968102439619360841510000343632872266834561096953637053661622883842959315585967152787928889674066450468031951258960839513590039531812909663174825979621742449343496799955522910059806301898001093873590512984121646467780329071467665709112915611777817757206364537477539521997271712156717957356717124253181545869598774420027575711311688468503323287959760245283602815238354772120468735866420897298385861664971563694191147214837212600295707181259456587769437509334343814923427811022521805645244508444662281661704176472414748102780505707695343518622892043559845330429882974472108456259033097909143023837298668087231411630585885235728793703009897557382129600864615159053182030716050370739134878996910601743218579574512927107255667204182751121374475031670867153483777844537377917222554479985782669108093032427684955143203241052510097440742554486446021040717895028762193685090303179523392694053625412499066246952024710515314372253816420858761645503176751922261140124329471595018576293756159876074177791702214639057951685537080960411975938004769466280460466593698709822207094277154459159133937961327070436109027168501076617646600800958700621771196310390470491954647468024604836306647955384488631431257795270081627071366803490964826997936305144767621979984900371574794942471831807782259938006081622769462345521335044616593918927235942385014273739035572549538324385077907260797567888100213552013959864331713019482879020866022913723580290174189026783779722477541440818583049294767643497968598306858349481218990900751647589974108553611838887734369238181589141449307342130914324661417674725270068712367582234206924115682211784004816337530967629911231582983310402152024882393748603615190972384478287490622816060107220482403140256765403961503440606508664581538238829142688473334239654012143216722659969639123278921504559279433223120469935009374188794147684585526983926174855376767938549121111041059184457333256304477667746956144035112856638885400612105479444172}
19460  36293041317303824202729539095466668049615740912616812482167065364505396: {58371,252811,369379,427834,602299,660994,718651,834931,1089032,1126882,1204474,1225161,1415251,1437154,1458525,1531099,1555760,1592194,1750230,1787836,1866912,2021864,2100276,2253532,2274597,2455291,2598394,2752954,2915659,3061882,3207765,3421616,3718531,3849318,4061539,4113436,4289851,4403899,4631779,4763045,4816904,5313691,5370682,5419017,5538405,5715654,5747432,5754082,5907632,6060514,6431836,6465861,6646086,6703005,6804350,6937581,7119451,7149872,7231699,7359994,7665082,7791859,8043606,8165220,8259025,8336757,8449005,8709568,8730874,9012272,9030765,9186682,9239851,9383241,9632816,9641914,9720500,9798264,9910830,10138806,10235179,10345411,10391432,10571552,10586812,10626274,10836918,10899669,11023047,11170525,11318504,11334259,11664600,11690361,11756965,11827389,11892996,12135394,12180729,12378821,12442240,12643651,12733317,12880101,12885052,12887554,12920285,13122675,13404630,13997520,14080225,14108358,14298272,14373379,14461882,14742057,14835682,14930688,15176092,15338251,15504342,15747210,16029154,16085556,16184357,16297291,16417505,16797024,16827571,16839741,16896270,17039179,17070082,17356051,17366914,17420637,17684030,17742765,17882731,18022688,18086537,18164245,18181882,18457550,18582069,18617059,18818949,18826219,18896652,18921082,18925616,19035091,19150761,19448429,19556011,19701006,20075131,20275524,20468194,20640765,20688634,20948774,21067445,21107971,21220005,21220836,21291318,21416419,21797094,21889721,22016816,22149060,22439899,22459036,22541851,22593082,22634672,22745539,22776141,22798525,22957005,22982141,23120510,23253499,23322682,23456179,23625664,23987405,24025449,24062491,24268252,24487472,24567565,24768918,24849634,25262900,25267339,25280934,25464006,25837910,25857337,26064811,26297314,26461819,26578872,26586082,26659891,26758819,27234874,27358230,27449299,27532857,27548406,27591557,27666682,27744139,27744612,27783470,27907304,28063345,28234099,28313314,28415849,28527211,28601725,28722259,28784886,28894089,28917019,29182112,29219836,29388154,29481078,29693179,29745634,29901231,29926820,30047381,30096350,30175939,30315480,30560851,30601954,30944611,31005492,31025397,31040371,31271030,31395717,31422691,31803859,31906012,32336512,32365382,32751739,32829876,32831630,32912726,33029300,33034699,33340164,33578909,33676014,33691036,34074682,34104915,34160059,34308104,34322070,34397725,34708354,34811731,34848994,35047685,35089939,35182531,35367499,35912184,36107357,36111874,36115620,36196291,36378576,36610208,36613461,36811234,36911300,37042664,37110331,37383139,37525236,37578682,37746489,37996474,38017171,38287819,38523328,38576092,38596617,38737459,38892854,39006379,39038434,39363931,39397956,39416510,39635160,39938554,39948997,40076794,40081197,40401207,40594070,40639781,40694491,40882121,40925898,40973794,41186484,41277270,41386882,41391245,41503017,41588744,41672997,41921731,42008851,42057222,42106972,42142714,42277504,42667937,42752600,42828154,42846969,42924830,42962419,43220971,43338744,43716765,43753765,43774934,43853314,43901837,44029088,44078131,44293560,44304412,44589555,44672900,44806882,45434611,45448445,45518779,45686899,45825082,46189531,46236260,46434274,46494652,46631216,46669557,46689571,46787337,46839682,47018180,47161605,47246464,47299812,47434771,47562192,47846251,47929064,47969870,48096675,48119674,48712884,48756087,49113436,49260034,49505092,49532724,49548892,49669494,49830255,49928674,50037139,50305712,50437099,50529082,50849414,50862082,50994019,51287836,51303120,51509796,51748005,51862051,51948489,52403061,52409899,52460118,52504518,52755989,52917754,52954219,53146569,53152272,53247874,53324152,53445754,53507466,53571979,53607480,53643837,53841082,53920197,54261451,54489979,54538134,54723328,55197872,55472779,55482082,55483512,55561220,55615036,55754805,55785041,56039432,56047817,56070394,56309300,56369179,56421816,56443411,56524765,56591659,56593926,56739619,56825846,56887291,56937704,57181312,57373114,57533097,57548251,57563844,57621331,57716010,57762682,57827554,57985651,58056830,58317429,58403030,58636891,58708891,59130350,59315194,59379682,59424931,59471792,59796306,59989671,60088574,60133771,60280834,60288069,60308415,60392829,60415291,60666082,60905179,61050754,61104758,61460731,61563744,62080219,62097606,62418951,62419629,62478652,62535620,62716910,62838274,62872041,62964739,63044361,63099739,63219682,63269725,63301699,63474543,63569971,63600514,63621257,64054917,64103059,64183036,64301779,64328976,64550074,64565731,64709005,64762939,64894051,64926350,65171577,65329901,65496034,65610019,65818676,65999074,66051800,66061882,66197541,66375682,66673464,66762811,66905766,66939514,67170405,67455811,67571160,67829718,68250082,68263579,68754619,68775014,68878605,68998411,69153429,69259212,69297221,69429754,69447765,69602851,69662899,69668196,70083636,70533436,70665274,70672699,70721560,70876317,70956420,71034682,71372971,71416275,71430859,71648432,71891371,71896225,71955682,72075904,72092757,72207278,72290539,72323074,72331252,72370098,72403939,72517051,72642020,72854659,72873082,73356211,73411579,73470512,73847674,73851931,73961299,74029954,74077616,74151394,74233459,74308275,74731036,75007647,75042744,75260292,75651565,75686848,75923670,76017555,76177360,76191499,76345939,76845665,77007691,77247849,77258971,77403405,77458699,77465914,77467045,77650806,77911620,77943994,77961254,77970765,78003682,78050971,78440059,78561182,78728851,78824539,79062499,79157179,79248909,79262160,79439491,79561755,79765579,79998569,80068310,80141794,80179651,80437114,80604486,80965929,80973436,80985248,81078931,81085392,81179780,81320674,81343099,81540957,81648019,81734491,81855464,81863659,81949411,82200634,82289539,82376194,82563632,82654326,82749691,82914859,82960354,83105728,83168816,83251834,83322739,83337318,83363131,83432900,83564011,83763091,83777848,83921059,84116899,84123874,84423087,84546304,84579571,84693619,84705609,84865872,84919771,84994579,85019375,85106251,85147704,85254139,85364299,85396354,85510171,85684474,85699530,85840820,85869811,86222251,86275470,86326579,86431714,86499019,86567491,86703571,86741212,86938939,87061882,87170424,87295989,87366691,87431419,87591979,88062859,88193829,88307371,88367779,88753411,88997434,89013259,89169930,89195836,89279366,89292765,89295139,89322931,89336600,89650819,89676154,89731171,89857605,89863651,90020251,90225019,90300619,90465082,90474499,90620731,90716779,90781878,90788059,90802234,90887510,91032557,91108404,91202131,91221066,91224451,91306882,91412832,91428565,91443691,91550611,91655731,91738531,91909636,91961725,92027168,92087397,92211139,92214798,92359459,92367994,92395819,92520811,92590651,92659339,92710099,92842291,92874619,92884086,92960454,93077731,93201634,93211219,93312514,93328430,93393739,93447451,93460699,93493944,93503501,93564918,93589219,93626371,93674899,93686851,93813571,93846619,93921211,93938285,93972331,94026680,94031299,94141459,94150171,94250079,94264579,94279771,94309291,94344571,94378051,94405454,94473091,94503979,94527739,94557979,94577419,94624939,94656259,94663099,94665331,94666339,94670299,94672819,94693114,94716375,94882972,94935765,95114592,95245616,95474106,95489517,95791167,95848112,95954434,96081972,96420009,97098682,97185685,97415736,97965754,98066727,98250020,98910652,98996030,98999992,99043834,99377384,99741154,99848194,99936309,...,81187301651490096285438532161799787810935140671865132344577928415521190961282607254004917544223908218433631428795075325052466775198196689612222940309733184876382687174601789903097548754749434693738123994079557555609257207888845601712459363630878925627372583770039750504306607750608403519729954511717191077294221063676460097081113232859003417169557086599757525838176851887612372625740808293794385906047095961250086346480375970893649588107112155560169694981761532302350501425922214093001526023737040142190515681377856794333874939168313210527195042507444676922268156278314024969663076648525439394833106186742434686329441210194123678311621430097887541004189915349582154814086553818781319523706338387566633688312411620122392940710146820612473055190674260251073335385376328737935074992571137974114240398130705772578532322109820272004318084473022054009541691776897681833888348737769240251631388890891592355190556296236319045836803200740494492088612884113712742154601522870444472072722620319930461265348833720386372935721954170979196332578208624976970356481636421936198397984659226614330529711221986696547978026845177943543587604103168230908344075165816413854899452153659429041262265000515449308400251841645430455580492434325764438973378950729181893334511099675702047926888441259270385059297719364494762238969432613674015245199933284365089709452847001640810385769476182469701670493607201498563669373417666726635809546806216309282995907568235076936035075686379772318804398161630041363566967532702754984931939640367925404222857532158180703103799631345947578792497457345541286720822255818900443560771889184881654156264001515722385141716533782708467866762666993422492556264708622122154170758561543015277934338065339767995644824461708162684388549646863714535755948002130847117445878827853593190554514846336073194401296922738579773046074075556108702318495365902614827869361769390660883500806274126682061712547506300730225666766806066875833831719978674003662139548641527432714804861578765146161113831729669031561076842543143290527635454769285089041080438118748599370428037065772971558380724631288142468254765127883391710186494207392527864440634239814111266687553321958586927528305621440617963907007154199420690699890548064733310641415731688738700906941990605654163540752751614926469901201438050932656794465585705737931971202036907254459971933076732947146886692905122440607050205236447240496904457717151432969977350557362192413707747711673389907009122434154193518282002566924890878390853913577521410608553358824307486577616860891196351832150320328020939796497569529224318531299034370585370435261283540175669583716312161227874573942151465246952897460287524221828486351127471384961162830417758331601553857272383712173961013196371486992126512087905103068551373351310386173523317676007224506296451444866847374474965603228037323590622905422786458576717431235934224090160830723604710385148105942255160909762996872307358243714032710001359481018214825083989954458684918382256838919149834680704902514061283191221526878290475889262283065151907823681666561588776685999884456716501620434216052669284958328100918158219166258}
19461  36435771226534125935149441979151071474670165635666501656975183191568748: {77828,641751,952903,991491,1361290,1633548,1690323,1769131,1806711,1944700,2155731,2234795,2333640,2388291,2489216,2527330,2625345,2681754,2800368,2816915,2993914,3032796,3150414,3380298,3633971,3897591,4129431,4214791,4277020,4592823,4798963,4915031,5029003,5132424,5141795,5169178,5614403,5773977,6021130,6170154,6195299,6256138,6568354,7011703,7184290,7225356,7384540,7593611,7620872,7825051,7885738,8039795,8056023,8121322,8428714,8573481,8587618,8621148,8631123,8861448,8937340,9090771,9092503,9250108,9596938,9647754,9903691,9969129,10031351,10206525,10724808,10886960,11039991,11115676,11265340,11497623,11614954,12041020,12065409,12150625,12247830,12510988,12547258,12584759,12989290,13064352,13096311,13214440,13233515,13242394,13518408,13523891,13780023,14021962,14148130,14449224,14462871,14532892,14580750,14640418,14697396,14866245,15134999,15208209,15373891,15552800,15587148,15769852,15857328,15880218,15939411,16106315,16240972,16255377,16317923,16559914,16880851,16970458,16977756,17173468,17471291,17496900,17839494,17872840,18203091,18663360,18811144,18970115,19264714,19327578,19331331,19656076,19805338,19907584,20106945,20672456,20961671,20996280,21162537,21426538,21447408,21692554,21692823,22253523,22396032,22452988,22462579,22528360,22764138,23055899,23227516,23256513,23383211,23620815,23657020,24043731,24128334,24418891,24776092,25091932,25195536,25344405,25534348,25605123,25842871,26017354,26050371,26268008,26297303,26526045,26540803,27034032,27272823,27280618,27521020,27686325,27838679,28073795,28293340,28294448,28344978,28381623,28388424,28567594,29062792,29532080,29551509,29739658,29785523,30019591,30335315,30368188,30413286,30609340,30702291,30835171,31032951,31423161,31578625,31634339,31831254,31936977,32033932,32412331,32576099,32695641,33025224,33147203,33223590,33688554,33707912,33758218,33889623,33952008,34680765,34884130,34891363,34984023,35438496,36390151,36402378,36477640,36524795,36710476,36731208,36769954,36992816,37153377,37274451,37331771,37408525,37894350,37921401,38196009,38379848,38525452,38756865,39045418,39308104,39445971,39868308,39879123,39882515,40038643,40196194,40420640,40463159,40802314,40852311,41037345,41286625,41322609,41340656,41367196,41500023,41616918,41675205,41860956,41937931,42113795,42469971,42885130,43177329,43452202,43773168,43829754,44017498,44082231,44221617,44453552,44482954,44618451,44890230,44901352,44920522,45144525,45335251,45473220,45762760,45902931,46139125,46303330,46508238,46658633,46906545,47859018,47882912,48154160,48220115,48298138,48351178,48504768,48548073,48817948,49034503,49244814,49247445,49281754,49323658,49369089,49543950,49797163,49820491,50010246,50033648,50328652,50505719,50514021,50536554,51112023,51462156,51483105,51985930,52037818,52062531,52273491,52530608,52633715,52767091,52846880,53440750,53441596,53868276,54167811,54173430,54567864,54915312,55036360,55216851,55337356,55366950,55380515,55563996,55841125,56076296,56287854,56368023,56476234,56756579,56800354,56994711,57129292,57214963,57784992,57795325,57864138,58118315,58134331,58289020,58339281,58557651,58772725,58801954,59046922,59058080,59096934,59124765,59452740,59907831,59911330,60115191,60175531,60817451,60891105,61388847,61391795,61460691,61663978,61743011,61779726,61881365,61915905,61936115,62080323,62226076,62383116,62692378,62882140,63066416,63085833,63160458,63214071,63308363,63416256,63791338,64109795,64128900,64242231,64286698,64387245,64817914,64950512,65008116,65474519,65662401,65779971,66043632,66103403,66225992,66440340,66456618,66655190,67009350,67210323,68404160,68679728,68737623,68778658,68997340,69264652,69354390,69451525,69518795,69651411,69741978,69870748,69946824,70006024,70049290,70259523,70386625,70527270,70586083,70862092,70869696,70949718,71172130,71343288,71476640,71525116,71623531,71641354,71648098,71893596,71954805,72179511,72243178,72717512,72772714,73069326,73305617,73324499,73670154,73890051,73978016,74257638,74299086,74323338,74339740,74504241,74893011,75229088,75458568,75793623,76094771,76274121,76293123,76391731,76710796,76721194,76751792,76931754,76954680,77097079,77264694,77756572,78098315,78169525,78607978,78690177,78737698,78756777,79013971,79289303,79376631,79728408,79871811,79986228,79999979,80168631,80228795,80261199,80384092,80411220,80523772,80761623,81430903,81807201,82084992,82273345,82564750,82796808,83223123,83225268,83226172,83339914,83341830,83422554,83595763,83829388,83867098,84059148,84105591,84272122,84463950,84632724,84890889,85238769,85406556,85758251,85771968,86059671,86345766,86574015,86624993,86644023,86689954,86741331,86895436,86955211,87085245,87604545,87713879,88166795,88263388,88401950,88606714,88695525,88897952,88972791,89069523,89207688,89298154,89560540,89668618,89694459,90094880,90132861,90414065,90421251,90439624,90501283,90802525,90999123,91035451,91127723,91541651,91576131,91599754,91657137,91838140,92204572,92345616,92597020,92890928,93146409,93413795,93444848,93717978,93801691,93803430,93845939,93952963,94075365,94257411,94501756,94605143,94608560,94829523,95221700,95400771,96120202,96123676,96274554,96493464,96622403,96825111,96825322,97356151,97387079,97389525,98244051,98322211,98593378,98728014,98998611,99077700,99092823,99563523,99630538,...,121780952477235144428157798242699681716402711007797698516866892623281786441923910881007376316335862327650447143192612987578700162797295034418334410464599777314574030761902684854646323132124152040607185991119336333413885811833268402568689045446318388441058875655059625756459911625912605279594931767575786615941331595514690145621669849288505125754335629899636288757265277831418558938611212440691578859070643941875129519720563956340474382160668233340254542472642298453525752138883321139502289035605560213285773522066785191500812408752469815790792563761167015383402234417471037454494614972788159092249659280113652029494161815291185517467432145146831311506284873024373232221129830728171979285559507581349950532468617430183589411065220230918709582786011390376610003078064493106902612488856706961171360597196058658867798483164730408006477126709533081014312537665346522750832523106653860377447083336337388532785834444354478568755204801110741738132919326170569113231902284305666708109083930479895691898023250580579559403582931256468794498867312937465455534722454632904297596976988839921495794566832980044821967040267766915315381406154752346362516112748724620782349178230489143561893397500773173962600377762468145683370738651488646658460068426093772840001766649513553071890332661888905577588946579046742143358454148920511022867799899926547634564179270502461215578654214273704552505740410802247845504060126500089953714320209324463924493861352352615404052613529569658478206597242445062045350451299054132477397909460551888106334286298237271054655699447018921368188746186018311930081233383728350665341157833777322481234396002273583577712574800674062701800144000490133738834397062933183231256137842314522916901507098009651993467236692562244026582824470295571803633922003196270676168818241780389785831772269504109791601945384107869659569111113334163053477743048853922241804042654085991325251209411190023092568821259451095338500150209100313750747579968011005493209322962291149072207292368147719241670747594503547341615263814714935791453182153927633561620657178122899055642055598659457337571086946932213702382147691825087565279741311088791796660951359721166900031329982937880391292458432160926945860510731299131036049835822097099965962123597533108051360412985908481245311129127422389704851802157076398985191698378558606897956803055360881689957899615099420720330039357683660910575307854670860745356686575727149454966025836043288620561621567510084860513683651231290277423003850387336317586280870366282115912830038236461229866425291336794527748225480492031409694746354293836477796948551555878055652891925310263504375574468241841811860913227197870429346190431286332742729526691207077441744245626637497402330785908575568260941519794557230488189768131857654602827060026965579260284976514010836759444677167300271061712448404842055985385934358134179687865076146853901336135241246085407065577722158913382741364644495308461037365571049065002039221527322237625984931688027377573385258378724752021057353771091924786832290317435713833893424597727861735522499842383165028999826685074752430651324079003927437492151377237328749387}
19462  36579058453416998092542326317862603444313537961169214989292531069845191: {97285,116742,505622,563557,738758,796261,855668,1144777,1204598,1321988,1376761,1437302,1608457,1669862,1724197,2041935,2178064,2253764,2408948,2430875,2450322,2830502,2874308,2917050,3062198,3111520,3184388,3336997,3500460,3575672,3733824,3790995,4022631,4043728,4200552,4490871,4507064,4549194,4725621,4821961,4910582,5070447,5196788,5346275,5389861,5505908,5831318,6123764,6415530,6668263,6843232,7307257,7419397,7437062,7698636,7753767,8123078,8202361,8226872,8536837,8579702,8759461,8807798,9031695,9230675,9255231,9263558,9384207,9526090,9536377,9633808,9852531,10627382,10640137,10741364,10776435,10838034,11076810,11171675,11189317,11431308,11494864,11508164,11562635,11815264,11828607,12121028,12181983,12391177,12643071,12863672,12881427,12931722,13292172,13406010,13476217,13608700,13875162,13894595,13908217,14081675,14231461,14238902,14299744,14395407,14463398,14471631,14719988,15051275,15330164,15583718,15638735,16087212,16330440,16459751,16518050,16673514,16898010,17419136,17422431,17428261,17461748,18024544,18061530,18088399,18166115,18371745,18373364,18479702,18766482,18793417,18820887,19265632,19283828,19315237,19441000,19483935,19523461,19596528,19712315,19821660,19863591,20042761,20277612,20301215,20353477,20470358,20690822,20782864,21032943,21075961,21143104,21173624,21222195,21252548,21466835,21673836,21794917,21799338,21871125,21960627,22046094,22341050,22408357,22637008,22668518,22984507,23329200,23380722,23513930,23654778,23785992,23820327,23930617,24270788,24361458,24570095,24757642,24836197,24839871,24884480,25287302,25429943,25455687,25466634,25760202,25770104,25775108,25840570,25859999,26245350,26629861,26759241,26809260,27321097,27812677,27910777,27995040,28066235,28106761,28160450,28216716,28596544,28746758,28897071,28923764,28991367,29034395,29484114,29494423,29571275,29671364,29708007,29861376,30352184,30558671,30676502,30724357,30970115,31008684,31364915,31494420,31917935,32058308,32139807,32171112,32368714,32538831,32594582,32835010,33195397,33582367,33594048,33655142,33679482,33792540,34078358,34140164,34146207,34394591,34401275,34505797,34598857,34712102,34733828,34841274,35366675,35368060,35485530,35765462,35986117,36045376,36173074,36192501,36328490,36363764,36627961,36901957,36915100,37084261,37164138,37234118,37637898,37652438,37793304,37842164,37851232,37960235,38070182,38261675,38301522,38896858,39026031,39070597,39112022,39288683,39402012,39953111,40042415,40050697,40150262,40551048,40920927,40936388,41281530,41377268,41548261,41897548,42134890,42215942,42440010,42441672,42517467,42582636,42672331,42832838,42851391,42852361,43541257,43594188,43712761,43779442,44033632,44298120,44310757,44609487,44648879,44879798,44918072,45083702,45186164,45243337,45269344,45491078,45552282,45597050,45619929,45888095,45914010,45964282,46241020,46500997,46506998,46645364,46667461,46912358,47212451,47247817,47251328,47746881,47974810,48050898,48124982,48152677,48156815,48536504,48967717,48974944,49066759,49135130,49533961,49537836,49699268,49835385,49936261,50525800,50532831,50534678,50561868,50637327,50928012,51675820,51708995,51714674,52129622,52155877,52326195,52594628,52923638,53157744,53172164,53319782,53517638,53629897,54037511,54089977,54242761,54469748,54471397,54603567,54716460,54898598,55065714,55096812,55154931,55183114,55333364,55379461,55488278,55489224,55566940,55754761,55814608,56126690,56351497,56468198,56626628,56831698,56841525,56869861,57054422,57203450,57444518,57569772,57788178,57823177,57834038,57947743,57968761,58331461,58364224,58439672,58568127,58776308,58962156,59266057,59386358,59491268,59764261,59802462,59853640,59905957,60094762,60192700,60294291,60351878,60469861,60630960,60819961,61022435,61121702,61203471,61203908,61255271,61721797,61726643,61859461,61889222,62010984,62050794,62065417,62080742,62347987,62407237,62425377,62542060,62747257,62791434,62845382,62910815,63354757,63607718,63627823,63812024,64327695,64420357,64673024,64730764,65076997,65178303,65503478,65659752,65663260,65744631,65825452,66026247,66058600,66069398,66368677,66680328,66724431,66801995,67157818,67255717,67335345,67352028,67380783,67382072,67569097,68149364,68190457,68209830,68320118,68616208,68644140,68795450,68865637,69169657,69171695,69290761,69411577,69416708,69454995,69592261,69623462,69697988,69762357,70095370,70179878,70308517,70365062,70734998,71072761,71411615,71537017,71767417,71788527,71824368,72053797,72214714,72223748,72231240,72392582,72447207,72526767,72677497,72757152,72789961,72861275,73220416,73226922,73622468,73822600,73867221,73922631,73985487,74085328,74220662,74315925,74766278,75015369,75050472,75085177,75138277,75157364,75492978,75769861,75804831,75992948,76034342,76575638,77046656,77052361,77152184,77193234,77474918,77782595,77785708,77978895,78012758,78056727,78076868,78531961,78602675,78727862,78772261,78795912,78833020,79105657,79134671,79270320,79341637,79575817,79622437,79877108,79897994,80153588,80161125,80162394,80313097,80802414,80853961,81188140,81260145,81279562,81388982,81732361,81764242,81851796,81947588,82245577,82372261,82372968,82554540,82773764,82782490,82913737,82995961,83006034,83050425,83177488,83281477,83321977,83345994,83843462,84017702,84114444,84213944,84285428,84388261,84431781,84555008,84579961,84656137,84694117,84714351,85200531,85218277,85335874,85505200,85620217,85656308,85693938,85849660,85924838,86048761,86119177,86246675,86441942,86580815,86677488,86796207,86867231,87008377,87074761,87140857,87338435,87433530,87507530,87549868,87706628,87803674,88058176,88156262,88202931,88250917,88341961,88570383,88577615,88587120,88608824,88645401,89018437,89179110,89345800,89406395,89493961,89613764,89629861,89817097,89843557,89866995,89974777,90357637,90456997,90592607,90869222,90896890,91037558,91074757,91120261,91277257,91373798,91650164,91829497,91930117,92009317,92067961,92379062,92406217,92472520,92495967,92618761,92669589,92837317,92868548,92924675,92989304,93208837,93262432,93339114,93351397,93379142,93433477,93551737,93574674,93589861,93679364,93735877,93882361,93914437,93935461,94036360,94038567,94055557,94102537,94156537,94199557,94323210,94367461,94380997,94413577,94419877,94450297,94489861,94492928,94500517,94515961,94525897,94562761,94599624,94648261,94653157,94655497,94680697,94681957,94692217,94740687,94869542,95124384,95687007,95692502,95858128,95888495,95939740,96193350,96239348,96430047,97195715,97226871,97425768,97512174,98226872,98520068,99010184,99065448,99097784,99338988,99660510,99684927,99857348,99982785,...,162374603302980192570877064323599575621870281343730264689155856831042381922565214508009835088447816436867262857590150650104933550396393379224445880619466369752765374349203579806195097509498869387476247988159115111218514415777691203424918727261757851254745167540079501008613215501216807039459909023434382154588442127352920194162226465718006834339114173199515051676353703775224745251481616587588771812094191922500172692960751941787299176214224311120339389963523064604701002851844428186003052047474080284381031362755713588667749878336626421054390085014889353844536312556628049939326153297050878789666212373484869372658882420388247356623242860195775082008379830699164309628173107637562639047412676775133267376624823240244785881420293641224946110381348520502146670770752657475870149985142275948228480796261411545157064644219640544008636168946044108019083383553795363667776697475538480503262777781783184710381112592472638091673606401480988984177225768227425484309203045740888944145445240639860922530697667440772745871443908341958392665156417249953940712963272843872396795969318453228661059422443973393095956053690355887087175208206336461816688150331632827709798904307318858082524530001030898616800503683290860911160984868651528877946757901458363786669022199351404095853776882518540770118595438728989524477938865227348030490399866568730179418905694003281620771538952364939403340987214402997127338746835333453271619093612432618565991815136470153872070151372759544637608796323260082727133935065405509969863879280735850808445715064316361406207599262691895157584994914691082573441644511637800887121543778369763308312528003031444770283433067565416935733525333986844985112529417244244308341517123086030555868676130679535991289648923416325368777099293727429071511896004261694234891757655707186381109029692672146388802593845477159546092148151112217404636990731805229655738723538781321767001612548253364123425095012601460451333533612133751667663439957348007324279097283054865429609723157530292322227663459338063122153685086286581055270909538570178082160876237497198740856074131545943116761449262576284936509530255766783420372988414785055728881268479628222533375106643917173855056611242881235927814014308398841381399781096129466621282831463377477401813883981211308327081505503229852939802402876101865313588931171411475863942404073814508919943866153465894293773385810244881214100410472894480993808915434302865939954701114724384827415495423346779814018244868308387036564005133849781756781707827155042821217106717648614973155233721782392703664300640656041879592995139058448637062598068741170740870522567080351339167432624322455749147884302930493905794920575048443656972702254942769922325660835516663203107714544767424347922026392742973984253024175810206137102746702620772347046635352014449012592902889733694748949931206456074647181245810845572917153434862471868448180321661447209420770296211884510321819525993744614716487428065420002718962036429650167979908917369836764513677838299669361409805028122566382443053756580951778524566130303815647363333123177553371999768913433003240868432105338569916656201836316438332516}
19463  36722905158598967875096906942397108414967839037746037678104245993915047: {19463,155656,175113,758433,1069585,1108137,1283502,1652485,1806897,1905806,1982982,2155953,2352361,2504793,2722580,2817205,3011185,3128713,3267096,3380646,3538262,3592885,3613422,3675483,3889400,3943681,3980485,4061497,4245753,4294693,4311462,4375575,4469590,4593297,4667280,4776582,4915537,4978432,5054660,5250690,5363508,5600736,5614981,5633830,5808673,5987828,6065592,6195937,6274921,6300828,6495985,6622561,6760596,6823791,6882385,7198513,7267942,7321717,7365873,7594393,7654705,7795182,8258862,8429582,8486977,8554040,8746977,9185646,9572581,9597926,9623295,9830062,10058006,10264848,10271593,10283590,10338356,11155593,11228806,11255713,11547954,11855233,12042260,12184617,12340308,12390598,12512276,12869553,13011361,13136708,13211697,13426705,13895337,14023406,14183593,14289135,14368580,14385205,14450712,14769080,14872897,15114937,15136561,15151285,15187222,15241744,15561337,15650102,15771476,15941073,16079590,16112046,16242644,16257051,16511953,16615215,16835137,16857428,17010875,17146962,17175236,17242296,17262246,17443297,17722896,17874680,17886817,18181542,18185006,18399985,18500216,18526921,19162705,19193876,19295508,19397583,19445161,19526737,19807382,19938258,20062702,20109015,20413050,20812743,21358353,21449616,21695097,21773920,21827185,22072681,22079982,22231352,22530680,22548841,22966705,22995246,23229908,23375577,23632753,24041893,24082040,24104785,24130818,24180577,24301250,24495660,24645961,24777075,25010271,25021976,25094516,25169518,25347015,25978580,26128704,26134177,26192622,26300017,26424481,26428880,26467030,26484788,26558161,26565685,27036816,27047782,27092295,27188737,27560046,27719553,28043924,28149723,28296260,28898448,28925742,29065784,29161500,29280836,29394792,29732490,29788597,29853793,30269998,30338485,30416418,30705537,30747782,31036233,31105600,31174296,31539704,31714656,31760436,31839697,31878822,32058961,32212630,32218885,32481944,32510754,32579461,32635846,32699007,32900257,33069141,33119828,33511575,33700081,33761702,33940916,33955512,34002777,34165177,34270837,34346936,34585177,34942582,34993800,35071083,35270895,35433217,35482167,35678988,35745680,36154705,36406182,36542187,37089205,37136463,37138693,37326720,37386037,37622288,37930953,37940230,37948537,37990453,38199951,38529428,38640303,38655156,38662662,38760855,39152833,39303313,39312152,39368025,39610676,39815168,40072885,40213890,40886857,41344912,41709721,41923342,41992560,42240675,42325074,42469441,42675205,42853076,42894816,43120137,43385108,43385646,43417285,44210075,44226171,44507046,44792064,44905976,44925158,44970661,45056720,45454705,45528276,46014753,46111798,46143875,46455032,46513026,46766422,47241630,47302705,47314040,47578513,47820097,48087462,48256668,48553071,48837782,48891873,49252515,49258297,49552184,50183864,50391072,50482713,50510977,50519223,50688810,50928361,51068696,51117537,51134713,51170485,51210246,51482341,51685742,51721585,52034708,52068153,52100742,52261911,52371935,52536016,52594606,53052090,53081606,53228295,53648193,54068064,54259611,54492735,54545646,54561236,55042040,55372650,55677358,55746207,55835521,55851177,56147590,56456847,56478657,56482705,56586680,56588896,56626357,56681893,56689956,56762497,56763246,56776848,57105273,57135188,57178561,57452283,57801275,58125584,58178017,58306705,58345287,58629481,58668033,58959313,59064160,59103018,59479316,59571046,59688577,60039182,60225393,60670630,60736376,60826572,61218680,61404582,61670342,61705297,61922295,62065902,62124085,62846322,63157250,63202335,63268678,63323913,63660015,63662508,63873954,64067864,64249257,64464901,64594775,64824662,65152198,65391282,65481361,65669163,65743285,65895577,66050448,66294406,66447180,66465205,66990697,67075957,67319697,67377108,67415824,67508161,67516436,67625553,67674457,67779246,67904016,68087185,68236617,68328423,68395575,68871015,68946423,69166705,69361530,69458675,69619561,69760497,69768260,69782726,69968046,70368537,70546117,70783285,70876992,71962215,72076347,72187473,72780302,72804756,72955280,72969013,73049590,73420952,73462416,73470385,73539908,73687201,73702695,73985632,74027593,74166121,74306754,74364085,74548902,74663542,74817050,75240875,75418033,75788700,75802017,75842802,76102693,76392018,76483921,76504885,76663393,76759696,77050904,77378977,77513730,77532721,77572011,78038041,78090836,78177575,78194433,78281137,78381361,78616208,78891942,79385457,79515337,79736616,79758246,79765030,79979673,80077286,80175217,80276457,80337697,80392388,80841280,80913455,80926318,80985937,81365641,81584137,81604628,81704622,82074690,82079075,82281815,82347897,82573250,82598571,82645218,82681312,82734392,82774671,83000046,83232417,83233836,83350410,83721912,83875862,83902417,84033961,84190035,84227590,84560857,84702297,84939942,85047097,85186705,85247547,85581633,85767193,85770260,85805175,85948513,86166777,86354658,86633911,86682267,86710561,86751057,86770885,86904404,87122485,87546336,87659508,88034996,88075321,88132561,88164462,88443234,88907104,88965908,89079537,89236902,89458597,89703693,89753713,89780460,89802704,89841044,90142143,90279685,90289050,90527817,90670502,90946440,91525520,91682553,91805862,91813777,92028085,92193193,92278250,92606660,92630857,92833833,93016476,93076191,93121113,93310081,93317266,93813090,93946705,94187151,94268073,94991185,95411577,95718036,95765824,95847457,96308320,96440230,96596276,96702356,97009536,97096146,97104961,97232135,97326313,97596085,97635896,97775941,97812097,98069006,98255217,98489628,98494890,98541275,98563508,98647316,98738178,99087900,99104097,99594326,99640982,99846385,99886441,99968737,...,243561904954470288856315596485399363432805422015595397033733785246563572883847821762014752632671724655300894286385225975157400325594590068836668820929199554629148061523805369709292646264248304081214371982238672666827771623666536805137378090892636776882117751310119251512919823251825210559189863535151573231882663191029380291243339698577010251508671259799272577514530555662837117877222424881383157718141287883750259039441127912680948764321336466680509084945284596907051504277766642279004578071211120426571547044133570383001624817504939631581585127522334030766804468834942074908989229945576318184499318560227304058988323630582371034934864290293662623012569746048746464442259661456343958571119015162699901064937234860367178822130440461837419165572022780753220006156128986213805224977713413922342721194392117317735596966329460816012954253419066162028625075330693045501665046213307720754894166672674777065571668888708957137510409602221483476265838652341138226463804568611333416218167860959791383796046501161159118807165862512937588997734625874930911069444909265808595193953977679842991589133665960089643934080535533830630762812309504692725032225497449241564698356460978287123786795001546347925200755524936291366741477302977293316920136852187545680003533299027106143780665323777811155177893158093484286716908297841022045735599799853095269128358541004922431157308428547409105011480821604495691008120253000179907428640418648927848987722704705230808105227059139316956413194484890124090700902598108264954795818921103776212668572596474542109311398894037842736377492372036623860162466767456701330682315667554644962468792004547167155425149601348125403600288000980267477668794125866366462512275684629045833803014196019303986934473385124488053165648940591143607267844006392541352337636483560779571663544539008219583203890768215739319138222226668326106955486097707844483608085308171982650502418822380046185137642518902190677000300418200627501495159936022010986418645924582298144414584736295438483341495189007094683230527629429871582906364307855267123241314356245798111284111197318914675142173893864427404764295383650175130559482622177583593321902719442333800062659965875760782584916864321853891721021462598262072099671644194199931924247195066216102720825971816962490622258254844779409703604314152797970383396757117213795913606110721763379915799230198841440660078715367321821150615709341721490713373151454298909932051672086577241123243135020169721027367302462580554846007700774672635172561740732564231825660076472922459732850582673589055496450960984062819389492708587672955593897103111756111305783850620527008751148936483683623721826454395740858692380862572665485459053382414154883488491253274994804661571817151136521883039589114460976379536263715309205654120053931158520569953028021673518889354334600542123424896809684111970771868716268359375730152293707802672270482492170814131155444317826765482729288990616922074731142098130004078443054644475251969863376054755146770516757449504042114707542183849573664580634871427667786849195455723471044999684766330057999653370149504861302648158007854874984302754474657498774}
19464  36867313511043335073138997920790323144016396524086747996460828816342386: {136199,194570,233484,330599,447143,602423,718799,796343,835103,912599,1011244,1127114,1183583,1415543,1477516,1592522,1608623,1711336,1925253,2289554,2409196,2532623,2643976,2753522,2858709,2874604,2974473,3146063,3216914,3339724,3403225,3448394,3681143,3795599,4083870,4356128,4366799,4480823,4507528,4817896,4822463,4861750,4900644,4936199,5070969,5307393,5390423,5420133,5428223,5661004,5748616,5834100,5881199,6124396,6223040,6318325,6368776,6467193,6673994,6704385,7000920,7151344,7164873,7308023,7467648,7484785,7581990,7876035,8045262,8087456,8240423,8401104,8450745,8797463,8981742,9014128,9098388,9315743,9451242,9643922,9821164,10140894,10347599,10393576,10692550,10779722,10901913,11011816,11662636,11692773,12247528,12388293,12428783,12644373,12718799,12831060,12922945,12972143,13336526,13686464,13729823,13778469,14053463,14396889,14448143,14614514,14745093,14838794,14874124,15052825,15087009,15397272,15412799,15425385,15507534,15640345,16187689,16246156,16300799,16371623,16404722,16420885,16453744,16843209,16901783,17073674,17159404,17321931,17430143,17518922,17535599,17615596,17956703,17960725,18063390,18166823,18461350,18510462,18527116,18585897,18690863,18768414,18830303,19004423,19052180,19072754,19267616,19352063,19452433,19560263,19705062,19714345,20079503,20148599,20303305,20596943,21035109,21071785,21078263,21112583,21254764,21280274,21284063,21469045,21482728,21552870,21676068,21894229,22138463,22153620,22343350,22378634,22444823,22780833,22862616,22989728,23016328,23125270,23326223,23475153,23630528,23657214,23966903,23992345,24119385,24168069,24242056,24363966,24738599,24782354,25286142,25432561,25672343,25720443,25727344,25762854,25863444,25893369,26136863,26584344,26665823,26731799,26812020,26830703,26952434,27217400,27272313,27277509,27597241,27652103,27750324,27789190,27815783,27816434,28163350,28305623,28421701,28462922,28477804,28598663,28599488,28790814,28793663,28926796,28943262,29020799,29037385,29182799,29439976,29506199,29711073,29907387,30053569,30094053,30102550,30561817,30619575,30660328,31167436,31277470,31368145,31525223,32174424,32473225,32660880,32853599,32919502,33036100,33105985,33119973,33347028,33575063,33796020,34398133,34492869,34509743,34726799,34819703,34838272,34844862,34856522,34881599,34923496,35054905,35370325,35898263,36049088,36114793,36123060,36174023,36176798,36196227,36265799,36332230,36451875,36601045,36662663,36743490,36746728,36936623,36959404,37027799,37118903,37532964,37586834,37641774,37754277,38086199,38531264,38567656,38630474,38882000,38967870,39046922,39075143,39193056,39194423,39288933,39292729,39424630,39432599,39643320,39700545,39727182,40084943,40085522,40173599,40321199,40527503,40555224,40571673,40602430,40648153,40706954,40940716,41114783,41202599,41290343,41340069,41381644,41399785,41494799,41565728,42065886,42076799,42151922,42286208,42347248,42426145,42444390,42505096,42713303,42933670,43030103,43347672,43358161,43388613,43589834,43598676,43742250,43746503,43910881,43921254,44092188,44145503,44316023,44598735,44653477,44682100,44685109,44816714,44938799,45274016,45337036,45404997,45624627,45969014,46121673,46534343,46658400,46700783,46761444,47027860,47115623,47217313,47309556,47446199,47501183,47571984,47640654,47818233,47861234,47994599,48076583,48161785,48267599,48318945,48541576,48722916,48766131,48953769,49000703,49140190,49513345,49515284,49539983,49672394,49679742,49768960,49888799,50502623,50574604,50642553,50859886,50911374,50933268,51520404,51540208,51550216,51560063,51681140,51719998,51927143,52413873,52490700,52766857,52967303,53144329,53259722,53518482,53566345,53618520,53636543,54122183,54231385,54274943,54503543,54609273,54642194,54706199,55336199,55411463,55625354,55761743,55796533,55821554,55990080,56059381,56132470,56209799,56213522,56320900,56383343,56433432,56581199,56901623,56910345,57193088,57493516,57794142,57847528,57982734,57993993,58000343,58048799,58068790,58218143,58290599,58651799,58723823,58968228,58988846,59142550,59342728,59416014,59440103,59487599,59558783,59722752,59771903,59795543,60266663,60320835,60477623,60704368,60967343,61117342,61353004,61448714,61476599,61890383,61940230,62004863,62017368,62096303,62438063,62687543,62729830,62885013,62890943,62988840,63363023,63487611,63631199,63835870,63853799,63862513,64116616,64119863,64243333,64279614,64342224,64450823,64737428,64889303,65043385,65077662,65078469,65189164,65497799,65670020,65821199,65885663,65992943,66185543,66390794,66760569,66780599,66822863,67138823,67164734,67188096,67310284,67358964,67387737,67411199,67419541,67473863,67515599,67585080,68034599,68156716,68201545,68280328,68292414,68343599,68589503,68752799,68789182,68802550,68813903,68895263,68988601,69011594,69167697,69197714,69424204,69467656,69621743,69682548,69721823,69769539,69901463,70149633,70692023,70733350,70736120,70862445,70971060,71082503,71392583,71418985,71530924,71662223,71972234,72090752,72131193,72346148,72348383,72385002,72392593,72656980,72727528,72949669,73042799,73255922,73256673,73803914,73830200,73909103,74168522,74328276,74349145,74468236,75275796,75304876,75586608,75684328,75702464,75780623,75884903,75920470,76006199,76033215,76058063,76140364,76213223,76523350,76603044,76810463,76815369,77063423,77281199,77331263,77481023,77528613,77563943,77793716,77827943,78052062,78106199,78141194,78151113,78224044,78317423,78462863,78577366,78783743,78799703,78804024,78891909,79117223,79578135,79622409,79649663,79773599,79906222,80004599,80084830,80101394,80233799,80300524,80686799,80836199,81102096,81103103,81132599,81176783,81279599,81759023,81818469,81841854,81872776,81888263,82045343,82215599,82563060,82566599,82754536,82774799,82843799,82940063,83049599,83058975,83096522,83185799,83226503,83348183,83516037,83749103,83788799,83795096,84142823,84207743,84221385,84269780,84395545,84431884,84567599,84605783,84719903,84880020,84883344,85034934,85144869,85165272,85344662,85354343,85431409,85524863,85665676,85702782,85704722,85884983,86074103,86249543,86272799,86480663,86753783,86787599,86955599,87033383,87066599,87082514,87121799,87188376,87198743,87210325,87318863,87394799,87425522,87481103,87558884,87894503,88067264,88075141,88234799,88356383,88366463,88486799,88566383,88596240,88621514,88654527,88831199,88898903,89042663,89218974,89240903,89297758,89356569,89536199,89626799,89759596,89832143,89836144,89893799,89911343,89998583,90058773,90067799,90167404,90347903,90372328,90486674,90505223,90529799,90538688,90982156,91005945,91104564,91194100,91233599,91239858,91270799,91489799,91687703,91770599,91776190,91828020,91892783,91924885,91928564,91986023,92084183,92106873,92199599,92337143,92428703,92482040,92505513,92623799,92635343,92641103,92875799,93001994,93013996,93096383,93098853,93259799,93290728,93334922,93368543,93387023,93423599,93490799,93522793,93632303,93709823,93729743,93753383,93824716,93856199,93910799,93956663,93963599,94073423,94101863,94120463,94177463,94186199,94191983,94269483,94345799,94353023,94374263,94385783,94424902,94450703,94470743,94495634,94502656,94510223,94544543,94581503,94599599,94603583,94653743,94656599,94672223,94697663,94701623,94706783,94708799,94710599,94711703,94735875,94903017,95493762,95810931,95949620,96101796,96249964,96305354,96313630,96840373,97073008,97236993,97613545,97728297,97935434,97949888,98086923,98133518,98270260,99067922,99075672,99398536,99441609,99670770,99872522,99976261,...,365342857431705433284473394728099045149208133023393095550600677869845359325771732643022128949007586982951341429577838962736100488391885103255003231393799331943722092285708054563938969396372456121821557973358009000241657435499805207706067136338955165323176626965178877269379734877737815838784795302727359847823994786544070436865009547865515377263006889698908866271795833494255676815833637322074736577211931825625388559161691869021423146482004700020763627417926895360577256416649963418506867106816680639857320566200355574502437226257409447372377691283501046150206703252413112363483844918364477276748977840340956088482485445873556552402296435440493934518854619073119696663389492184515937856678522744049851597405852290550768233195660692756128748358034171129830009234193479320707837466570120883514081791588175976603395449494191224019431380128599243042937612996039568252497569319961581132341250009012165598357503333063435706265614403332225214398757978511707339695706852917000124327251791439687075694069751741738678210748793769406383496601938812396366604167363898712892790930966519764487383700498940134465901120803300745946144218464257039087548338246173862347047534691467430685680192502319521887801133287404437050112215954465939975380205278281318520005299948540659215670997985666716732766839737140226430075362446761533068603399699779642903692537811507383646735962642821113657517221232406743536512180379500269861142960627973391773481584057057846212157840588708975434619791727335186136051353897162397432193728381655664319002858894711813163967098341056764104566238558054935790243700151185051996023473501331967443703188006820750733137724402022188105400432001470401216503191188799549693768413526943568750704521294028955980401710077686732079748473410886715410901766009588812028506454725341169357495316808512329374805836152323608978707333340002489160433229146561766725412127962257973975753628233570069277706463778353286015500450627300941252242739904033016479627968886873447216621877104443157725012242783510642024845791444144807374359546461782900684861971534368697166926166795978372012713260840796641107146443075475262695839223933266375389982854079163500700093989948813641173877375296482780837581532193897393108149507466291299897886370792599324154081238957725443735933387382267169114555406471229196955575095135675820693870409166082645069873698845298262160990118073050982731725923564012582236070059727181448364898077508129865861684864702530254581541050953693870832269011551162008952758842611098846347738490114709383689599275874010383583244676441476094229084239062881509433390845654667634166958675775930790513126723404725525435582739681593611288038571293858998228188580073621232325232736879912492206992357725726704782824559383671691464569304395572963808481180080896737780854929542032510278334031501900813185137345214526167956157803074402539063595228440561704008405723738256221196733166476740148224093933485925383112096713147195006117664581966712877954795064082132720155775136174256063172061313275774360496870952307141501680273793183585206567499527149495086999480055224257291953972237011782312476454131711986248161}
19465  37012285688061956414715021089181597649832185987836285172752295395170906: {38926,291855,311312,350226,1264055,1497419,1516866,1690671,1846895,2139170,2216274,2313479,2388783,2567004,2780063,3011495,3304970,3434331,3593255,3613794,3811612,3944087,3965964,4130283,4174655,4215659,4311906,4704722,4799951,4825371,5009586,5030039,5172591,5445160,5572679,5634410,5809271,6022370,6125805,6257426,6275567,6534192,6623243,6761292,7013147,7076255,7076524,7185770,7226844,7292625,7322471,7350966,7655495,7778800,7826663,7887362,7902719,7960970,8122994,8487851,8491506,8589386,8622924,8751150,8939180,9094379,9186594,9334560,9553164,9635339,9831074,9956864,10010991,10109320,10232759,10501380,10698767,10716587,10727016,11201472,11229962,11267660,11372985,11617346,11975656,12067893,12131184,12276455,12391874,12549842,12601656,12991970,13245122,13472613,13521192,13647582,13764770,14176863,14288219,14397026,14465883,14535884,14578295,14643434,14731746,15188786,15211341,15309410,15377063,15562943,15590364,15852251,16038825,16169583,16517724,16859164,16973954,17108080,17493954,17888663,18371292,18390671,18592655,18646283,18797387,19145162,19195852,19246590,19660124,19896071,20004789,20104319,20116012,20139287,20307695,20529696,20543186,20567180,20676712,21211799,21449255,21732827,21921771,22019495,22074959,22258191,22311186,22457612,22511426,23095908,23158895,23261301,23710466,23815225,24084520,24369234,24607083,24669467,24680616,24781196,25024552,25610511,25739106,25759979,25848203,26022722,26273416,26278383,26423394,26546279,26568455,26827787,26853410,26870351,27095085,27191543,27692025,27765693,27790674,28046812,28152621,28246859,28367186,28578270,28609131,28737160,28770410,28901424,29410079,29538160,29557593,29745794,30229874,30273122,30302570,30374444,30483488,30558059,31122674,31300204,31542952,31842983,31882146,31920411,32153387,32159180,32224092,32329305,32485288,32514102,33023906,33230430,33515025,33567951,33670274,33703559,33714856,33746699,34021750,34168703,34293924,34350472,34484592,34524492,34687905,34886594,35445792,35485821,35597255,35749360,35773634,35831771,36158495,36363084,36370012,36545949,36634343,36799970,37000432,37053842,37173531,37191959,37887863,37929213,38325410,38372543,38387752,38591016,38644281,38795166,38890322,38959295,39053474,39614764,39876516,40125404,40218030,40428651,40826100,40873391,41295125,41507951,41625486,41683785,41724651,42245025,42473879,42694383,42716706,42899232,43186221,43390194,43414893,43547840,43654370,44145362,44159964,44462704,44848271,45061360,45097682,45106439,45153825,45627167,45933410,45990492,46199255,46459816,46616747,46751154,46916205,47173643,47265506,48083786,48164080,48209570,48261636,48320831,48361154,48467831,48602500,48991320,49291922,49379253,49554150,50020542,50043952,50189032,50261327,50339036,50616587,50694030,50933663,51175895,51727055,51924887,51957160,52257408,52267293,52268354,52284783,52385244,52600034,52848962,52857760,52934060,52969576,53116322,53131370,54073632,54095564,54184590,54265197,54377474,54498345,55115235,55120092,55439106,55852625,56087848,56102039,56299446,56380251,56462661,56592520,56671295,57184523,57539087,57747671,57796896,57851484,57945711,58131568,58214351,58323000,58451805,58561672,58570383,58784825,58789584,59136945,59284559,59464980,59577194,59590773,59694791,59707586,59745287,60128283,60188063,60531623,60539996,60676970,60784199,60832836,60903645,61060431,61411074,61495564,61894105,62072466,62211200,62348592,63079408,63098829,63218255,63227883,63350351,63429312,63520872,63636587,63666585,63679394,63757644,64117922,64400505,64425260,64437770,64601425,64963888,65021508,65119367,65158922,65271692,65384751,65398014,65527067,65613375,65800514,65881881,65902463,66138282,66223787,66239656,67023150,67082951,67225071,67400162,67523404,67574663,67881832,67911024,68005554,68330354,68541674,68693872,68953521,69003119,69170354,69885164,69987600,70142166,70401125,70541790,70866434,70964334,71115047,71357976,71460981,71491360,71638679,71791851,71866895,72049007,72309410,72410219,72812364,73084374,73320709,73710285,73987391,74178410,74272926,74277386,74508591,74519613,74653440,74772074,74819567,75244576,75861906,75880460,75897074,75980906,76289829,76367061,76399902,76691255,77054219,77058856,77280606,77310312,77325324,77387063,77521710,77579997,77876591,77913527,78289343,78305666,78606626,78624304,78691079,78736050,79075787,79221352,79630336,79889583,80145770,80277723,80427780,80921785,80947271,81486455,81629387,81773714,81963291,82087525,82277663,82689824,82891547,83267231,83419442,83438031,83731223,83732331,83846684,83985120,84137855,84198705,84320283,84481350,84650148,84938882,85055951,85195895,85350410,85446311,85563851,85706152,85789632,86240274,86691213,86770216,86771292,86780255,86834570,86973719,86974101,87103185,87218987,88420150,88452342,88483269,88713825,89014092,89124021,89413655,89584128,89811952,89850316,89941322,90113440,90432685,90695399,90821225,90909410,91056552,91103471,91676013,92029506,92040599,92173071,92223596,92287750,92514071,92910064,92910345,93026052,93051287,93085295,93328043,93532844,93822431,93972671,94094745,94131095,94483260,94605410,94628080,94944551,95157026,95175455,95322059,95640194,95753805,95857451,96174924,96419421,96513336,96833387,97106142,97242145,97616493,97675564,97780055,97783746,98505030,98516594,98574251,98920007,99096599,99104368,99203327,99312863,99586191,99745259,99896879,...,487123809908940577712631192970798726865610844031190794067467570493127145767695643524029505265343449310601788572770451950314800651189180137673337641858399109258296123047610739418585292528496608162428743964477345333655543247333073610274756181785273553764235502620238503025839646503650421118379727070303146463765326382058760582486679397154020503017342519598545155029061111325674235754444849762766315436282575767500518078882255825361897528642672933361018169890569193814103008555533284558009156142422240853143094088267140766003249635009879263163170255044668061533608937669884149817978459891152636368998637120454608117976647261164742069869728580587325246025139492097492928884519322912687917142238030325399802129874469720734357644260880923674838331144045561506440012312257972427610449955426827844685442388784234635471193932658921632025908506838132324057250150661386091003330092426615441509788333345349554131143337777417914275020819204442966952531677304682276452927609137222666832436335721919582767592093002322318237614331725025875177995469251749861822138889818531617190387907955359685983178267331920179287868161071067661261525624619009385450064450994898483129396712921956574247573590003092695850401511049872582733482954605954586633840273704375091360007066598054212287561330647555622310355786316186968573433816595682044091471199599706190538256717082009844862314616857094818210022961643208991382016240506000359814857280837297855697975445409410461616210454118278633912826388969780248181401805196216529909591637842207552425337145192949084218622797788075685472754984744073247720324933534913402661364631335109289924937584009094334310850299202696250807200576001960534955337588251732732925024551369258091667606028392038607973868946770248976106331297881182287214535688012785082704675272967121559143327089078016439166407781536431478638276444453336652213910972195415688967216170616343965301004837644760092370275285037804381354000600836401255002990319872044021972837291849164596288829169472590876966682990378014189366461055258859743165812728615710534246482628712491596222568222394637829350284347787728854809528590767300350261118965244355167186643805438884667600125319931751521565169833728643707783442042925196524144199343288388399863848494390132432205441651943633924981244516509689558819407208628305595940766793514234427591827212221443526759831598460397682881320157430734643642301231418683442981426746302908597819864103344173154482246486270040339442054734604925161109692015401549345270345123481465128463651320152945844919465701165347178110992901921968125638778985417175345911187794206223512222611567701241054017502297872967367247443652908791481717384761725145330970918106764828309766976982506549989609323143634302273043766079178228921952759072527430618411308240107862317041139906056043347037778708669201084246849793619368223941543737432536718751460304587415605344540964984341628262310888635653530965458577981233844149462284196260008156886109288950503939726752109510293541033514899008084229415084367699147329161269742855335573698390911446942089999369532660115999306740299009722605296316015709749968605508949314997548}
19466  37157823875347150515721395791969834794699553926382370056682373658999477: {58389,272398,369493,389140,466968,525339,661198,718873,835189,894286,1204846,1437598,1531573,1592686,1670206,1825198,2022488,2254228,2275299,2367166,2831086,2955032,3031513,3185044,3208755,3217246,3324411,3422672,3719689,3834133,3850506,4405273,4579108,4764515,4818392,4957455,5065246,5287952,5420691,5428789,5507044,5717418,5749208,5948946,6292126,6433828,6467859,6679448,6806450,6896788,7057083,7233973,7362286,7514379,7570393,7591198,8167740,8451615,8687113,8712256,8733598,8845655,8961646,9015056,9033555,9242773,9386139,9635792,9644926,9723500,9801288,9872398,10141938,10348693,10478699,10614786,10778655,10780846,10840266,10856446,11026449,11173975,11322008,11447413,11497232,11668200,11762398,11831043,11941455,12184491,12248792,12446080,12636650,12647689,12737259,12737552,12884079,12934386,13126725,13298713,13347988,13408770,13779891,14001840,14084575,14302688,14329746,14616046,14700373,14746611,14935296,14969570,15163980,15450073,15752070,16090524,16174912,16408789,16480846,16802208,16844943,16901490,17426019,17594926,17963484,18028256,18092123,18169855,18196776,18587811,18623113,18631486,18824763,18902484,19041289,19145653,19287844,19487955,19642328,19666393,19867683,19977973,20281788,20471373,20647155,20695198,20787152,21073955,21114889,21385100,21559444,21595539,21803826,21896483,21965151,22023632,22097619,22140889,22549273,22753033,22783179,22964115,22989239,23325272,23385546,23565193,23994815,24495056,24575155,24776586,24857566,25145015,25288746,25437598,25460931,25662120,25675189,25708975,25845890,25865323,25944286,26172889,26240931,26673052,26767753,27372928,27459646,27556938,27600083,27655189,28072015,28106926,28424627,28717743,28793778,28869885,28896286,29024053,29229028,29490186,29500499,29677588,29748248,30056663,30105650,30174018,30794544,30814779,30825598,30850770,30976495,31015068,31050889,31146613,31280690,31528789,32375378,32492312,32601598,32743246,32809444,32841770,32857333,32907488,33466779,33589283,33686418,33767139,33803566,34147348,34318808,34643862,34860286,34916533,35037844,35058515,35071198,35194633,35231192,35565699,35913406,35921450,36118511,36126780,36208789,36300553,36333646,36553851,36922700,37020924,37054232,37171794,37381726,37536828,37660606,37968055,38008846,38104360,38145508,38535232,38608659,38704126,38904866,39034083,39120526,39125255,39410124,39428690,39635091,39961339,40159006,40198975,40280115,40297198,40606610,40652339,40796953,41193886,41499673,41686011,42023689,42070218,42143570,42156526,42225166,42458389,42509528,42550779,42560548,42568126,42681119,42867405,42938090,42965456,42977653,43105740,43155615,43352136,43788458,43915403,44276926,44307240,44618691,44686700,44757268,44889646,45344811,45366613,45409683,45453855,45462515,45535093,45561666,45725232,45979456,46032656,46206133,46250540,46348379,46652446,46684011,46950306,47121289,47261056,47314428,47823219,47933806,47984690,48238770,48336138,48484112,48727932,48771153,49076867,49477198,49518455,49535859,49564708,49653493,49845645,50055433,50156755,50505411,50572284,50865122,51032625,51241463,51344686,51440886,51454688,51525708,51726888,51786738,52273033,52273726,52329891,52772291,53168688,53331646,53463598,53624040,53660451,53661406,53904868,54048643,54434800,54544626,54555018,55041289,55194482,55199955,55304206,55500648,55578380,55580763,55631566,55632868,55802279,56241673,56326700,56464693,56611246,56613013,56843402,56925844,56955608,57197326,57198976,57203413,57488115,57581628,57587326,57643189,57853592,57886524,57959699,58041598,58074770,58192749,58335483,58365598,58580211,58659253,58731289,58803253,58879952,59012398,59396603,59422146,59803189,59814774,60086293,60107138,60188106,60205100,60327045,60753125,60789013,61123634,61239150,61320656,61739359,62172853,62334872,62360831,62438229,62554940,62736290,62921689,62923795,63050446,63594889,63661813,63862153,64075059,64348848,64919689,64946450,65085291,65321760,65481555,65506453,65707198,65839004,66072200,66167575,66211970,66218043,66239946,66694056,67150126,67168789,67426499,67545493,67592040,67619455,67646523,68352793,68782453,68796266,68900115,68985738,69019486,69318683,69453598,69639406,69676544,69689724,69691273,69713044,69763198,69846992,70109810,70126731,70228789,70524889,70740650,70898259,71402389,71460313,71691289,71796526,72098176,72125679,72206773,72229586,72246120,72314355,72348046,72353596,72392454,72531598,72541731,72664460,72885013,72903750,73052953,73202090,73325326,73442293,73486980,73493456,73873246,73918808,73937883,74055598,74237806,74331225,74992883,75030813,75065928,75173668,75283189,75283548,75473879,75508554,75674995,75923939,76041045,76172398,76275673,76838389,76869455,77062528,77104907,77135312,77260948,77342389,77764000,77935740,78093844,78133813,78150286,78386112,78388846,78402531,78577866,78585458,78763273,78811189,78849260,78865198,78900051,79097173,79273443,79286640,79401090,79454364,79568053,79674483,79697055,79800793,80169886,80171044,80347198,80442889,80531575,80642398,81055006,81110448,81143346,81204860,81276885,81291733,81296306,81413908,81531983,81566211,81589615,81881432,82229566,82242133,82369033,82405198,82579093,82580686,82680138,82763288,82799570,82989598,83131456,83158659,83401333,83441689,84131772,84153598,84303844,84404255,84449169,84572416,84580693,84694496,84770953,84852290,84888780,85010192,85146073,85426606,85550389,85586713,85867340,85910389,86060206,86298073,86608789,86695344,86716322,86777226,86980633,87179668,87197352,87356455,87484500,87493006,87570313,87821762,87842508,88184376,88198153,88291006,88380889,88632046,88855513,89142793,89197470,89255689,89306954,89364200,89365791,89367433,89370218,89560213,89561379,89633428,89776213,89877598,90194389,90346453,90545173,90548032,90674072,90691189,90809994,90952153,91015455,91060739,91249254,91271689,91293973,91598389,91938028,92116611,92243346,92278933,92316373,92408713,92587993,92657689,92726233,92826889,93004693,93068686,93108699,93276853,93316800,93362389,93401566,93445333,93512473,93522888,93616153,93690889,93739273,93821173,93866389,93932053,94055720,94204213,94212889,94231246,94287733,94341913,94371289,94434626,94446133,94618393,94619112,94724233,94728373,94729993,94731289,94850575,94892398,95002366,95143968,95281308,95482163,95519091,95636466,95722468,95989198,96153166,96176883,96258283,96323570,96535198,96637890,96656655,97083152,97445832,97532262,97738383,97907538,98001406,98097021,98280380,98700771,99026690,99030568,99079966,99207423,99344788,99359484,99537920,99777598,99986579,...,730685714863410866568946789456198090298416266046786191101201355739690718651543465286044257898015173965902682859155677925472200976783770206510006462787598663887444184571416109127877938792744912243643115946716018000483314870999610415412134272677910330646353253930357754538759469755475631677569590605454719695647989573088140873730019095731030754526013779397817732543591666988511353631667274644149473154423863651250777118323383738042846292964009400041527254835853790721154512833299926837013734213633361279714641132400711149004874452514818894744755382567002092300413406504826224726967689836728954553497955680681912176964970891747113104804592870880987869037709238146239393326778984369031875713357045488099703194811704581101536466391321385512257496716068342259660018468386958641415674933140241767028163583176351953206790898988382448038862760257198486085875225992079136504995138639923162264682500018024331196715006666126871412531228806664450428797515957023414679391413705834000248654503582879374151388139503483477356421497587538812766993203877624792733208334727797425785581861933039528974767400997880268931802241606601491892288436928514078175096676492347724694095069382934861371360385004639043775602266574808874100224431908931879950760410556562637040010599897081318431341995971333433465533679474280452860150724893523066137206799399559285807385075623014767293471925285642227315034442464813487073024360759000539722285921255946783546963168114115692424315681177417950869239583454670372272102707794324794864387456763311328638005717789423626327934196682113528209132477116109871580487400302370103992046947002663934887406376013641501466275448804044376210800864002940802433006382377599099387536827053887137501409042588057911960803420155373464159496946821773430821803532019177624057012909450682338714990633617024658749611672304647217957414666680004978320866458293123533450824255924515947951507256467140138555412927556706572031000901254601882504485479808066032959255937773746894433243754208886315450024485567021284049691582888289614748719092923565801369723943068737394333852333591956744025426521681593282214292886150950525391678447866532750779965708158327001400187979897627282347754750592965561675163064387794786216299014932582599795772741585198648308162477915450887471866774764534338229110812942458393911150190271351641387740818332165290139747397690596524321980236146101965463451847128025164472140119454362896729796155016259731723369729405060509163082101907387741664538023102324017905517685222197692695476980229418767379198551748020767166489352882952188458168478125763018866781691309335268333917351551861581026253446809451050871165479363187222576077142587717996456377160147242464650465473759824984413984715451453409565649118767343382929138608791145927616962360161793475561709859084065020556668063003801626370274690429052335912315606148805078127190456881123408016811447476512442393466332953480296448187866971850766224193426294390012235329163933425755909590128164265440311550272348512126344122626551548720993741904614283003360547586367170413134999054298990173998960110448514583907944474023564624952908263423972496322}
19467  37303930267003723886920685142130519243513523620543485686484511200387360: {77852,408597,486425,583710,622624,700452,991797,1341429,1769677,1807269,2156397,2389029,2505309,2528110,2585653,2737797,2817785,2994838,3033732,3285529,3381342,3550749,3693790,3981305,4216093,4246629,4278340,4432548,4626958,4777566,4825869,4916549,5030557,5134008,5560126,5616137,5723885,5775759,5844517,6022990,6197213,6609940,6868662,6883805,7013869,7186510,7227588,7595957,7597869,7623224,7827469,7888174,7931928,8042285,8260566,8349310,8431318,8576127,8620985,8623812,8923419,9339577,9409444,9438189,9574553,9599902,9650742,9906757,10019172,10060078,10209675,10273709,10345182,10717693,10890320,11043429,11145358,11268820,11311949,11386797,11436613,11618542,12044740,12154375,12251610,12514852,12551134,13068384,13100397,13246486,13442469,13522584,14026294,14152510,14153048,14371540,14453688,14467389,14585250,14644942,14701932,14808597,15212907,15310990,15502997,15557600,15653326,15774724,15805438,15921940,15922179,16171269,16245988,16260399,16284669,16684985,16886077,16975702,16983012,17178772,17187037,17245848,17502300,17643597,17687549,17878360,18188758,18297029,18373188,18392569,18669120,18954975,19106328,19270678,19401579,19449173,19662148,19913728,20021982,20113155,20218640,20409613,20465518,21002760,21397534,21433174,21454032,21494619,21924069,22402944,22454355,22459924,22469533,22535320,22745970,23234692,23390453,23628105,23637629,23951312,24109805,24135786,24262368,24552910,24672013,24721269,24783748,25099684,25203312,25352235,25983940,26029717,26392389,26429933,26490244,26731375,26945226,26949305,27042384,27295164,27529540,27947229,28353726,28430773,28576438,28794052,28931766,29071768,29113733,29156590,29286868,29463492,30028957,30377572,30422682,30618820,30754126,30827293,30844717,31042797,31125886,31180728,31636109,31704502,32077650,32339166,32422453,32705739,33035448,33157469,33341315,33718328,33947908,34216160,34987908,35078319,35433893,35777326,35835469,36536285,36742584,36781342,37096985,37164879,37185310,37195837,37286349,37292566,37343333,37594774,37933119,38156397,38290324,38391704,38493180,38768835,38916429,39320248,39792142,40009578,40208638,40232024,40278574,40615390,41011805,41059392,41086372,41134360,41189469,41335407,41353424,41734253,42097529,42160389,42423598,42684185,42794957,42898510,43023413,43190667,43344429,43465654,43797305,43843542,44038990,44149918,44235279,44516382,44622372,44915224,45022852,45158475,45261027,45349369,46153375,46191816,46238397,46276155,46317790,46522602,46921035,47420932,47630450,47681885,48169040,48563067,48738468,48889433,48902397,49114869,49214166,49262655,49338934,49361232,49562392,49836157,50049104,50529627,50621893,50705349,50995069,51221022,51478212,51519958,51696406,51965793,52045444,52290429,52546832,52556766,52606797,52846788,53092558,53136910,53200685,53655574,53706820,53740702,53870109,53882175,54190170,54383086,54500469,54543013,55384050,55531386,55581348,55750669,55757691,55858375,55946585,56072589,56093624,56305242,56490909,56493718,56734372,57013269,57156540,57218262,57474320,57540820,57802848,57813175,58056189,58357299,58680789,58820158,59076320,59115186,59143035,59491588,60194329,60238509,60445797,60459748,60546244,60605140,60748888,60909915,60966976,61116118,61730269,61762349,61790829,61955885,62245348,62533973,62600408,63085904,63105327,63215355,63234789,63337749,63685966,63764292,63840822,63852189,64306774,64318360,64407135,64448184,64658610,64678957,64970576,65028204,65682687,66047812,66259213,66415389,66460860,66737693,67030050,67135902,67334469,67340548,67381085,67407118,67429712,67493398,67581709,68043500,68337406,68342499,68587848,68700944,68969184,69048984,69375810,69386137,69472975,69541085,69773188,69978669,70408375,70425459,70891584,70971642,71157305,71194510,71498720,71547268,71646253,71663542,71900709,71977035,72316990,72358155,72417877,72504207,72726168,72740024,72780469,73091898,73268686,73599940,74000864,74107684,74215797,74347062,74383918,75256375,75775726,75858426,76019533,76297683,76650820,76682873,76745086,76775504,77017029,77121133,77161329,77182032,77288562,77590332,77680107,77780644,77884729,77918590,78054293,78106948,78193675,78410589,79229528,79339813,79753032,79997469,80195397,80250808,80354549,80436060,80492109,80857302,81652200,81746782,81816939,81832527,82298755,82590250,82791723,82956309,83015902,83250972,83347769,83367570,83447349,83449302,83621869,84490050,84752453,84916869,84947758,85265103,85388766,85433412,85795989,85798464,86089849,86372442,86380989,86651747,86780388,86785837,86829786,87062397,87095680,87112155,87141305,87308740,87548397,87714713,87741533,87948853,88290724,88319928,88505557,88518597,88925408,89133219,89696542,89722161,90122720,90160707,90195364,90212878,90282159,90307650,90441995,90830575,91064077,91254334,91685451,91707293,91858725,91866820,91980984,92398510,92523769,92650349,92919632,93233494,93502308,93832410,93967085,94104435,94347286,94531012,94575669,95421017,96167572,96328160,96419140,96523272,96576185,96641662,96722308,96935662,97205000,97386469,97419675,97617305,97982640,98560797,98561575,98583844,98758506,99108300,99317955,99359919,99973469,...,1096028572295116299853420184184297135447624399070179286651802033609536077977315197929066386847022760948854024288733516888208301465175655309765009694181397995831166276857124163691816908189117368365464673920074027000724972306499415623118201409016865495969529880895536631808139204633213447516354385908182079543471984359632211310595028643596546131789020669096726598815387500482767030447500911966224209731635795476876165677485075607064269439446014100062290882253780686081731769249949890255520601320450041919571961698601066723507311678772228342117133073850503138450620109757239337090451534755093431830246933521022868265447456337620669657206889306321481803556563857219359089990168476553547813570035568232149554792217556871652304699586982078268386245074102513389490027702580437962123512399710362650542245374764527929810186348482573672058294140385797729128812838988118704757492707959884743397023750027036496795072509999190307118796843209996675643196273935535122019087120558751000372981755374319061227082209255225216034632246381308219150489805816437189099812502091696138678372792899559293462151101496820403397703362409902237838432655392771117262645014738521587041142604074402292057040577506958565663403399862213311150336647863397819926140615834843955560015899845621977647012993957000150198300519211420679290226087340284599205810199099338928711077613434522150940207887928463340972551663697220230609536541138500809583428881883920175320444752171173538636473521766126926303859375182005558408154061691487192296581185144966992957008576684135439491901295023170292313698715674164807370731100453555155988070420503995902331109564020462252199413173206066564316201296004411203649509573566398649081305240580830706252113563882086867941205130233060196239245420232660146232705298028766436085519364176023508072485950425536988124417508456970826936122000020007467481299687439685300176236383886773921927260884700710207833119391335059858046501351881902823756728219712099049438883906660620341649865631313329473175036728350531926074537374332434422123078639385348702054585914603106091500778500387935116038139782522389923321439329226425788087517671799799126169948562237490502100281969846440923521632125889448342512744596581692179324448522398873899693659112377797972462243716873176331207800162146801507343666219413687590866725285407027462081611227498247935209621096535894786482970354219152948195177770692037746708210179181544345094694232524389597585054594107590763744623152861081612496807034653486026858276527833296539043215470344128151068797827622031150749734029324428282687252717188644528300172536964002902500876027327792371539380170214176576306748219044780833864115713881576994684565740220863696975698210639737476620977073177180114348473678151015074393707913186718891425443540242690213342564788626097530835002094505702439555412035643578503868473409223207617190785685321685112025217171214768663590199499430220444672281800457776149336290139441585018352993745900138633864385192246398160467325408522768189516183939827323081490612856921424505040821379550755619702498581448485260998440165672771875861916711035346937429362395135958744483}
19468  37450607065581118453884740018524253245255979622399049766765878322449141: {97315,116778,214027,544796,738986,778280,796507,875565,912787,933936,1050678,1322396,1437746,1670378,1724731,1788572,2409692,2875196,2878531,3063146,3185372,3223267,3340412,3452731,3650396,3792165,4044976,4492257,4508456,4550598,4734332,4937227,5072013,5347925,5540685,5662172,5910064,5957827,6063026,6370088,6417510,6434492,6634987,6648822,6670321,6845344,6940437,7166349,7421731,7439378,7668266,7701012,8204947,8262425,8340189,8810546,8873467,9034485,9158216,9529030,9636784,9650131,9871387,9914910,10130492,10302993,10533427,10575904,10753531,10779765,10841382,10857578,11014088,11302531,11434836,11498416,11761805,11832261,11897892,12383917,12390849,12523965,12584252,12646977,12867656,12935718,13358896,13480531,13612900,13793576,14086025,14114166,14399853,14467946,14476113,14724572,14880787,15028758,15055925,15090117,15140786,15182396,15517773,15643565,16335480,16375147,16718037,16903230,17222731,17374226,17424512,17427813,17467196,17539387,17691310,17923292,17964425,18030112,18067110,18377415,18485546,18772278,18826701,19271584,19289852,19447000,19602576,19718405,19744796,19869729,19902425,20152987,20283876,20307485,20697386,20957398,21039441,21228765,21229572,21473465,21557310,21561692,21596947,21680532,21712892,21877875,21967413,22052898,22211467,22347950,22644016,22894826,22966485,22994464,23229907,23336400,23479989,23524796,23662086,23708157,23882910,23938531,24368982,24497584,24577685,24892160,25273300,25295378,25437797,25445131,25463553,25474518,25475104,25744507,25768158,25868772,26253450,26597426,26638747,26695976,26737747,26817540,27133027,27283137,27559782,27920131,28003680,28074905,28169150,28605376,28659492,28906017,29043365,29232092,29400746,29493222,29503537,29870592,29939140,30032973,30327960,30542587,30568109,30698277,30900146,30979685,31374605,31504140,31595947,31976827,32096301,32149761,32181048,32349824,32479925,32817578,32923987,32961692,33112805,33206731,33592741,33604416,33689886,33802980,34118955,34144531,34405217,34411925,34610731,34852038,34889587,35189852,35203021,35926968,35992565,36056512,36182347,36184246,36203679,36339710,36393552,36608585,36829365,37097107,37175622,37246226,37262972,37649526,37804968,37971965,38082578,38273525,38291306,38545747,38575688,38975910,39284656,39300821,39332786,39620131,39735366,39955946,39965453,40242067,40417839,40563576,40942746,41294310,41390396,41562907,41574304,41650387,42147910,42229778,42434885,42530589,42685513,42770200,42864657,42867547,43118888,43191078,43367093,43397649,43556731,43607652,43734885,43792966,43930302,44047264,44195238,44281778,44662673,44666827,45098546,45506066,45566358,45634023,45928230,45978478,46131189,46350907,46650544,46688829,46771092,46933531,47130386,47182147,47227037,47512627,47556753,47862905,47989630,48116475,48508749,48578731,48990112,49081921,49150310,49553172,49715132,49954507,50290030,50577492,50875196,50921862,50992531,51324240,51350378,51357965,51417950,51625267,51691780,51730646,51888572,52345778,52481862,52721467,53155277,53346104,53535506,53665989,53726731,54054209,54262987,54719827,54745856,54775357,54919292,55113876,55172013,55200166,55310378,55400227,55475467,55777965,55938849,56144030,56213852,56278565,56392161,56849254,56891347,57435486,57587556,57739770,57792572,57845131,57990787,58048106,58063507,58353667,58458056,58570531,58980372,59000998,59276165,59355176,59496496,59502787,59688213,59787187,60014367,60113326,60211300,60312957,60348036,60417861,60913267,60923085,61589088,61629558,61651196,61701540,61745717,61883467,61952227,61952990,62030136,62101778,62293226,62367253,62561380,62907307,63057578,63446731,63635397,63647521,63875669,64347765,64577707,64750756,64984624,65056805,65198481,65203196,65486492,65618888,65623147,65683540,65714666,65765313,65814976,66058485,66203107,66224877,66774573,66840667,66933558,67133525,67178566,67372836,67533667,67534278,67607132,68134253,68294696,68637616,68771347,69002813,69287724,69325837,69476685,69620587,69720572,69783903,69833066,69920467,70075688,70117030,70142396,70219457,70389266,70396531,70462384,70917965,71131398,71160307,71445675,71566531,71681947,71826812,71842900,71926025,72237022,72253560,72417578,72538387,72601106,72667292,72964697,73100347,73107702,73267531,73710187,73821249,73845400,74008401,74041848,74108464,74343588,74364485,74743027,74763452,75073656,75170131,75321212,75574685,75682805,75756425,75802147,75854347,75936110,76017692,76114267,76208720,76291016,76577587,76831533,76832467,77070464,77217318,77279937,77408252,77544609,77586307,77806685,77809732,77981731,78068166,78226531,78241052,78250510,78566227,78614467,78820248,78835149,78857380,79270182,79638837,79657531,79705365,79922678,80318012,80397950,80483361,80560230,80594396,80611053,80665747,80890027,81156787,81213220,81285255,81304678,81552067,81574629,81593906,81769147,82387772,82559765,82999346,83074867,83076075,83297079,83360131,83372022,83512517,84047378,84140436,84175685,84287140,84313052,84450332,84457863,84619267,84733531,84740577,84916778,85019056,85054375,85101558,85121096,85136252,85295131,85362238,85734810,85827393,85876180,85930912,85955306,86018731,86211480,86300107,86311230,86473627,86704272,86713531,87116587,87149707,87216485,87576916,87830806,87922987,88093313,88230237,88263547,88475731,88553852,88614480,88672779,88860427,89062531,89237382,89373400,89434085,89514536,89566027,89674747,89701747,89755531,89779292,89888731,89941507,90020131,90576907,90689622,90733226,90819366,90907710,90925030,91070186,91123332,91123981,91450464,91456531,91564531,91674177,91958912,91978531,91999925,92065312,92136067,92232187,92412266,92501080,92634605,92668507,92685787,92696758,93304892,93368022,93485131,93616531,93900612,93946147,93988627,93999067,94165531,94228027,94242578,94270507,94394347,94475131,94487587,94522112,94523227,94623307,94628856,94658947,94667237,94676227,94712731,94739731,94747507,94750531,95395721,95528949,95646438,95761233,95813525,95867612,95969380,96460161,96477540,96672276,96968224,96987915,97225805,97455864,97542306,97633685,98153734,98954396,99036910,99071718,99129416,99306986,99691290,...,1461371429726821733137893578912396180596832532093572382202402711479381437303086930572088515796030347931805365718311355850944401953567540413020012925575197327774888369142832218255755877585489824487286231893432036000966629741999220830824268545355820661292706507860715509077518939510951263355139181210909439391295979146176281747460038191462061509052027558795635465087183333977022707263334549288298946308847727302501554236646767476085692585928018800083054509671707581442309025666599853674027468427266722559429282264801422298009748905029637789489510765134004184600826813009652449453935379673457909106995911361363824353929941783494226209609185741761975738075418476292478786653557968738063751426714090976199406389623409162203072932782642771024514993432136684519320036936773917282831349866280483534056327166352703906413581797976764896077725520514396972171750451984158273009990277279846324529365000036048662393430013332253742825062457613328900857595031914046829358782827411668000497309007165758748302776279006966954712842995175077625533986407755249585466416669455594851571163723866079057949534801995760537863604483213202983784576873857028156350193352984695449388190138765869722742720770009278087551204533149617748200448863817863759901520821113125274080021199794162636862683991942666866931067358948560905720301449787046132274413598799118571614770151246029534586943850571284454630068884929626974146048721518001079444571842511893567093926336228231384848631362354835901738479166909340744544205415588649589728774913526622657276011435578847252655868393364227056418264954232219743160974800604740207984093894005327869774812752027283002932550897608088752421601728005881604866012764755198198775073654107774275002818085176115823921606840310746928318993893643546861643607064038355248114025818901364677429981267234049317499223344609294435914829333360009956641732916586247066901648511849031895903014512934280277110825855113413144062001802509203765008970959616132065918511875547493788866487508417772630900048971134042568099383165776579229497438185847131602739447886137474788667704667183913488050853043363186564428585772301901050783356895733065501559931416316654002800375959795254564695509501185931123350326128775589572432598029865165199591545483170397296616324955830901774943733549529068676458221625884916787822300380542703282775481636664330580279494795381193048643960472292203930926903694256050328944280238908725793459592310032519463446739458810121018326164203814775483329076046204648035811035370444395385390953960458837534758397103496041534332978705765904376916336956251526037733563382618670536667834703103723162052506893618902101742330958726374445152154285175435992912754320294484929300930947519649968827969430902906819131298237534686765858277217582291855233924720323586951123419718168130041113336126007603252740549380858104671824631212297610156254380913762246816033622894953024884786932665906960592896375733943701532448386852588780024470658327866851511819180256328530880623100544697024252688245253103097441987483809228566006721095172734340826269998108597980347997920220897029167815888948047129249905816526847944992644}
19469  37597856482105681047610758505913548869214034554756291511739610464416609: {19469,155704,175167,680995,817194,972850,1108479,1167420,1245248,1400904,1576017,1652995,1983594,2156619,2235715,2353087,2505567,2682858,3012115,3539354,3593995,3614538,3635467,3944899,3981715,4175515,4312794,4562995,4594719,4778058,5010618,5056220,5171306,5475594,5573827,5635570,5810467,5917915,5989676,6067464,6197851,6276859,6571058,6624607,6762684,6825897,7077715,7101498,7323979,7387580,7596739,7904347,7962610,8013439,8043115,8432186,8489599,8493258,8556680,8757067,8865096,9094539,9253916,9555132,9575539,9626265,9637327,9651738,9833098,9973233,10061114,10234867,10268016,10274767,10700971,11120252,11159067,11232274,11259199,11447770,11502399,11551518,11689034,12045980,12069379,12394426,12663115,12951139,13215819,13219880,13368667,13737324,13767610,14027738,14291167,14293545,14373020,14455176,14872365,15141247,15191914,15195738,15246448,15654938,15730315,15776348,15863856,16084570,16262073,16286367,16521132,16698620,16840351,16862636,17016125,17152254,17241970,17247624,17326879,17846838,18405715,18679154,18818888,18876378,18977995,19149106,19189567,19199804,19301484,19403577,19813514,20038344,20108467,20120156,20419350,20547418,20690364,20819419,20903467,21171249,21435386,21701919,21737311,21780640,21833995,22086858,22290716,22404115,22537640,22543137,22623898,22711179,22773594,22873226,23237084,23358979,23392867,24049339,24089480,24112315,24308750,24503220,24680995,25029704,25102268,25354845,26017939,26061339,26136768,26142271,26200794,26308159,26492972,26536965,26884938,26952115,27045168,27100665,27141115,27728319,28052588,28158417,28252687,28305020,28306096,28743080,28907376,28934778,29170500,29289884,29403864,29405995,29416147,29538751,29617194,29797819,29863039,30425814,30621980,31005994,31046079,31115200,31306652,31436097,31549448,31591625,31610876,31647451,31843880,31844358,32335965,32342538,32491976,32520798,32527267,32569338,32589547,33079347,33160891,33332827,33369970,33521925,33753727,33772154,33951404,33966024,34281451,34342239,34357544,34374074,34407139,34491696,35004600,35287194,35375098,35444191,35493129,35756720,35824365,36377516,36540115,36553473,36594058,36746376,36785138,37338240,37347187,37423925,37641739,37729027,37909950,37943067,38002219,38211777,38212656,38541356,38652237,38803158,38898346,39164959,39324296,39380175,39827456,39896139,40043964,40226310,40437280,40479967,40819226,40931036,41202115,41339673,41876419,42005520,42157951,42253725,42291259,42795068,42866348,42908064,42989238,43848138,43987315,44101119,44151067,44239833,44805888,44908710,44919848,44939066,45070640,45491940,46350219,46469384,46578715,46677841,46780906,47256210,47275258,47902624,48019807,48084991,48219610,48271572,48524736,49105820,49226367,49322299,49344026,49442538,49545667,49567496,50199368,50246467,50406624,50526751,50534829,50704470,51150799,51737995,51935779,51967880,52059434,52278057,52784778,52859866,52980488,53030527,53449819,53462750,53890452,53898610,54084768,54276369,54509565,54590328,54641131,55059080,55763433,55869339,55894458,56430799,56474289,56707452,56861546,57123867,57152876,57416527,57436959,57588104,57863532,58143536,58227466,58313180,58444507,58463865,58573736,58647739,58926984,58999179,59603049,59757859,59933919,59990299,60057914,60755144,60842659,60845364,61237640,61316227,61414119,61508252,61654586,61689434,61941465,62085594,62143915,62251772,62361456,63188779,63221865,63272218,63344667,63409004,63593995,64155300,64614725,64678332,64786617,64844906,64860715,65411478,65689449,65895453,66070896,66292857,66314938,66422667,66682630,66744667,66754639,67436656,67647819,67895816,68259099,68349537,68432320,68649115,68892345,68967717,69652579,69890911,69975816,70156638,70267315,70695579,70867786,70881547,71554652,71670938,71984445,72240715,72991867,73072570,73354891,73485168,73562684,73725465,74193970,74329758,74370620,74391674,74480959,74572698,74585132,74686666,75189548,75264125,75435045,75866238,76126459,76312794,76382793,76580648,76687267,76783408,76986360,77025567,77063995,77126925,77537670,77595969,77802331,77832858,78062419,78201725,78325219,78518667,78640496,78707467,78722793,78871819,79322239,79540351,79584284,80019156,80303259,80417276,80464048,80557148,80772739,80869939,80938445,81230780,81503995,81596251,81858115,81971347,82023610,82104425,82118784,82172744,82268720,82378938,82670814,82706848,82800249,82965567,83468506,84195058,84216045,84320778,84466531,84508915,84847196,85045867,85273881,85368370,85589914,85797020,86046826,86153229,86336611,86381334,86609655,86688858,86738239,86931308,87072159,87150715,87217219,87237151,87594610,87677995,87687084,87723859,88077980,88160347,88299836,88366867,88470558,88501497,88886719,89032764,89095891,89244744,89783515,89803625,89830448,90045704,90169989,90316950,90522054,90698738,90834115,92306750,92383632,92444337,92476794,92552310,92635580,92929485,93045204,93152667,93339139,93439839,93454315,93523279,93551947,93842070,93885451,94151515,94333519,94586367,94841864,94964467,95022115,95260900,95363770,95518027,96338080,96662539,96760315,97126134,97262165,97357519,97476936,97778866,97801315,97804794,98034091,98229738,98428332,98525310,98571725,98571999,98677868,98722464,99124784,99318979,99620227,99672314,...,2192057144590232599706840368368594270895248798140358573303604067219072155954630395858132773694045521897708048577467033776416602930351310619530019388362795991662332553714248327383633816378234736730929347840148054001449944612998831246236402818033730991939059761791073263616278409266426895032708771816364159086943968719264422621190057287193092263578041338193453197630775000965534060895001823932448419463271590953752331354970151214128538878892028200124581764507561372163463538499899780511041202640900083839143923397202133447014623357544456684234266147701006276901240219514478674180903069510186863660493867042045736530894912675241339314413778612642963607113127714438718179980336953107095627140071136464299109584435113743304609399173964156536772490148205026778980055405160875924247024799420725301084490749529055859620372696965147344116588280771595458257625677976237409514985415919769486794047500054072993590145019998380614237593686419993351286392547871070244038174241117502000745963510748638122454164418510450432069264492762616438300979611632874378199625004183392277356745585799118586924302202993640806795406724819804475676865310785542234525290029477043174082285208148804584114081155013917131326806799724426622300673295726795639852281231669687911120031799691243955294025987914000300396601038422841358580452174680569198411620398198677857422155226869044301880415775856926681945103327394440461219073082277001619166857763767840350640889504342347077272947043532253852607718750364011116816308123382974384593162370289933985914017153368270878983802590046340584627397431348329614741462200907110311976140841007991804662219128040924504398826346412133128632402592008822407299019147132797298162610481161661412504227127764173735882410260466120392478490840465320292465410596057532872171038728352047016144971900851073976248835016913941653872244000040014934962599374879370600352472767773547843854521769401420415666238782670119716093002703763805647513456439424198098877767813321240683299731262626658946350073456701063852149074748664868844246157278770697404109171829206212183001557000775870232076279565044779846642878658452851576175035343599598252339897124474981004200563939692881847043264251778896685025489193163384358648897044797747799387318224755595944924487433746352662415600324293603014687332438827375181733450570814054924163222454996495870419242193071789572965940708438305896390355541384075493416420358363088690189388465048779195170109188215181527489246305722163224993614069306972053716553055666593078086430940688256302137595655244062301499468058648856565374505434377289056600345073928005805001752054655584743078760340428353152613496438089561667728231427763153989369131480441727393951396421279474953241954146354360228696947356302030148787415826373437782850887080485380426685129577252195061670004189011404879110824071287157007736946818446415234381571370643370224050434342429537327180398998860440889344563600915552298672580278883170036705987491800277267728770384492796320934650817045536379032367879654646162981225713842849010081642759101511239404997162896970521996880331345543751723833422070693874858724790271917488966}
19470  37745680736113055325268188821520316477736875772606157227934010474889355: {136241,194630,233556,252941,428054,447281,563789,719021,796589,835361,912881,1029101,1089592,1225791,1300001,1459275,1477972,1531889,1556560,1593014,1609121,1724909,1751130,1825574,1867872,1879181,2101356,2644792,2648621,2875492,2917169,2975391,3340756,3449462,3491309,3577144,3796781,4024287,4063649,4482221,4596209,4819384,4823969,4937741,5051441,5309031,5421807,5750392,5757062,5883041,5996141,6126292,6320275,6335009,6370744,6446534,6469191,6673229,6680824,6905462,7167087,7300792,7310321,7422509,7487095,7515927,7571981,7584330,7646669,7756959,7982369,8089952,8213391,8243021,8354609,8453355,8688941,8763149,8984514,9016912,9101196,9234475,9318689,9468664,9856587,9874454,9909281,10144026,10534541,10652247,10695850,10791329,11081370,11324344,11340269,11567395,11820128,11887409,11915654,11943915,12126052,12648279,12650381,12722861,12739887,12740176,12831521,12835020,12868984,13269974,13297644,13340642,13626161,13690688,13842209,13880874,13900315,14057969,14165741,14332698,14381069,14477607,14749647,14843462,14878756,15057475,15091671,15096749,15336532,15402024,15880301,16306061,16409894,16412321,16466527,16483121,16524850,16680378,16848411,17171655,17224589,17327277,17533551,17541281,17621092,17646701,17746934,17892401,17966275,18067661,18068970,18316432,18591639,18627149,18696941,18801569,19010609,19058060,19273568,19300262,19670669,19720435,19742774,19829820,20051489,20258801,20260984,20500301,20605986,20651415,20706989,20873275,21041607,21066854,21078295,21151808,21291041,21507062,21559530,21599309,21682764,21715156,21900991,21941069,22028176,22145741,22213901,22554221,22605062,22787871,22793607,22869672,22927649,22996832,23266289,23435309,23482407,23523610,23637869,23664522,23795784,23974829,23999755,24075761,24126855,24767834,24781698,24847181,24980909,25047930,25150195,25168504,25293954,25447949,25680881,25728381,25735312,25747361,25780589,25862955,25871436,26641709,26674721,26717792,26770257,26773709,26839661,26938529,26961062,27136049,27225800,27464609,27587152,27605767,27759629,27863395,27923249,28018731,28054001,28172050,28228332,28249889,28314567,28430479,28705841,28723659,28799706,28900769,28935892,28952226,29046355,29449144,29613041,29720271,29761574,30057516,30062851,30111850,30180234,30281572,30353549,30364792,30546029,30578081,30629025,30738221,30821127,30866189,31035546,31287130,31377835,31599521,31631309,31821869,31980449,32153079,32549681,32670960,32750294,32770349,32927729,32959181,33116215,33130287,33210509,33398669,33436074,33806460,33867809,33935847,34160391,34179569,34309839,34408759,34445462,34521581,34614689,34738721,34748452,34831661,34849024,34855626,34924529,34934392,34986401,35065735,35078774,35356961,35381275,35382620,35541809,35757101,35846584,35928850,36002669,36060224,36125947,36134220,36186509,36217121,36278321,36463125,36612355,36644849,36754830,36918989,36971092,37040621,37131761,37283501,37544556,37653402,37677089,38189741,38277475,38543168,38579704,38580209,38894000,38999201,39133315,39205152,39208109,39297521,39301191,39304867,39436810,39489592,39513595,39654449,39739458,39804850,39980621,40187681,40305974,40327407,40541729,40567752,40614970,40630061,40660711,40865261,41217101,41304881,41394772,41509421,41567789,41830049,41914796,42078882,42091661,42439255,42457530,42459144,42946930,42987809,43045361,43114620,43123384,43131629,43193894,43361064,43371559,43402167,43425784,43733489,43755750,43924447,43934826,44105796,44422934,44425791,44530481,44667271,44695900,44700449,45039521,45288032,45377441,45433649,45471895,45638721,45686189,45789652,45854189,45932970,45988928,46217201,46356461,46357927,46459814,46508991,46634381,46672800,46939169,46959978,47049592,47187821,47231899,47324172,47380769,47416314,47765820,47766537,47877062,48011981,48094001,48175949,48176695,48285101,48513807,48737964,48781197,48854007,48995168,49155370,49665569,49719281,49784320,49907021,50054955,50067629,50389591,50546600,50590756,50600909,50658231,50866349,50875594,50890262,50927106,50949036,50950208,51025229,51163795,51236621,51252019,51489014,51536316,51561111,51657869,51737544,52103201,52285901,52338029,52506900,52753901,52783159,52930791,53062647,53160751,53194852,53277494,53391952,53475494,53493835,53582935,53635080,53733389,53759009,53912561,54116849,54266054,54295181,54566274,54726641,54802541,54891087,55119564,55177707,55432241,55507469,55813771,55840262,55882529,56007360,56032049,56149810,56305421,56338300,56478881,56602541,56864925,56898509,56923121,57046061,57210752,57318984,57812034,58022381,58086730,58204737,58312781,58347519,58457549,58464184,58746221,58801492,58818209,58986444,59007074,59408839,59581601,59741184,59794829,59818481,59878280,60065946,60148769,60289841,60339465,60594509,60655920,60851249,60944369,61060589,61085174,61136218,61222961,61228839,61382275,61396554,61800292,61914401,61959370,62097569,62188961,62530541,62749210,62779889,62938061,63008280,63140849,63191894,63455009,63656141,63882247,63953654,64145069,64192602,64255649,64299522,64362096,64454189,64483857,64608161,64699648,64717901,64914929,64959850,65045921,65198381,65635156,65653409,65761229,65772207,65847974,65911841,65923384,66225610,66275981,66403949,66413462,66912941,67008067,67185482,67208832,67363065,67379772,67408599,67500941,67563569,67605281,67605960,67854881,68227121,68237910,68289062,68309489,68432801,68801009,68810434,68823850,68841761,68902829,68984141,69009919,69146381,69221462,69328289,69449201,69650081,69704076,69710189,69750221,69779174,70171359,70287521,70379704,70406042,70425869,70544141,70583501,70721009,70884315,70912887,71170061,71441095,71479949,71576369,71711021,71749421,71853936,71883569,71901151,71985130,72036401,72113024,72329415,72364694,72368492,72407358,72435149,72548429,72567281,72679420,72717809,72787104,72830369,72833167,72891475,72905249,72972211,73110509,73217170,73296269,73658730,73720481,73903601,74016039,74104109,74163807,74194214,74351244,74448161,74492452,74525944,74860781,75074381,75299052,75489427,75609936,75865121,75943930,75969329,76056705,76090541,76142369,76165156,76297421,76331789,76547050,76582612,76588529,76860401,76885315,76894241,77091494,77120791,77151376,77314541,77364641,77414669,77597489,77814715,77951820,77993009,78009389,78089151,78400109,78569312,78577649,78601642,78665572,78789991,78818189,78882029,79120289,79151921,79177167,79215089,79240262,79261255,79289799,79293869,79450829,79470732,79622561,79684769,79731341,79901489,79911892,79930906,80086001,80194125,80484134,80522299,80835678,80847915,80872241,81035789,81127152,81213101,81359981,81476909,81548779,81781409,81795821,81867761,81885492,82082381,82295201,82351649,82422029,82478189,82588620,82780792,82881521,82964129,82986631,83046449,83125814,83128481,83148608,83264561,83300774,83386349,83426801,83787629,83827361,83841687,84103469,84246689,84295820,84459556,84491789,84606881,84632369,84645101,84708641,84759329,84797261,84822509,84869770,85061178,85292319,85320749,85371026,85431089,85492109,85540400,85729314,85735094,86044109,86237776,86290481,86325389,86348621,86382156,86487341,86556269,86734186,86795298,86829101,87064049,87108401,87113462,87196721,87215304,87240689,87273581,87341199,87360941,87393569,87469770,87585932,87598541,87662669,87715889,87860604,87968561,88094528,88308461,88379441,88390476,88439969,88490189,88560161,88563556,88875041,88884749,88942829,89086769,89172269,89325346,89333654,89443315,89471021,89590049,89725709,89770529,89850701,89903789,89939021,89982881,90043949,90086871,90095981,90139121,90197092,90224801,90241841,90377009,90393761,90418829,90501869,90551309,90575921,90592289,90738161,90841901,90983309,90998861,91012132,91079527,91132716,91228301,91268046,91303181,91318061,91340321,91472369,91587569,91856460,91953355,91956956,91961249,92054321,92100269,92152301,92262378,92324129,92386289,92441549,92471969,92481879,92508209,92534151,92632781,92690861,92701814,92702381,92742449,92860301,92926061,92953121,92963275,93048881,93100961,93128391,93162401,93231415,93276941,93296429,93301088,93337519,93377658,93438509,93502349,93533681,93542184,93659309,93676109,93696929,93762209,93774221,93782189,93794081,93821549,93856289,93863921,93867062,93901601,93909041,93931169,93953009,93967409,93986935,94009841,94139789,94183469,94186529,94240241,94246049,94248941,94260772,94288589,94291361,94364294,94400561,94407821,94412621,94436141,94454074,94463309,94482929,94487201,94512161,94560461,94574861,94590449,94597169,94611821,94637729,94642061,94651889,94660001,94677809,94679021,94695149,94696241,94713581,94724429,94731809,94734881,94748321,94755341,94756769,94759409,94767089,94768109,94770029,94908327,95025254,95113506,95725810,95979260,96232950,97017498,97157462,97267359,97980224,98117217,98163842,98300620,98696611,99106344,99285151,99430264,99472407,99480355,99909014,...,3288085716885348899560260552552891406342873197210537859955406100828608233931945593787199160541068282846562072866200550664624904395526965929295029082544193987493498830571372491075450724567352105096394021760222081002174916919498246869354604227050596487908589642686609895424417613899640342549063157724546238630415953078896633931785085930789638395367062007290179796446162501448301091342502735898672629194907386430628497032455226821192808318338042300186872646761342058245195307749849670766561803961350125758715885095803200170521935036316685026351399221551509415351860329271718011271354604265280295490740800563068604796342369012862008971620667918964445410669691571658077269970505429660643440710106704696448664376652670614956914098760946234805158735222307540168470083107741313886370537199131087951626736124293583789430559045447721016174882421157393187386438516964356114272478123879654230191071250081109490385217529997570921356390529629990026929588821806605366057261361676253001118945266122957183681246627765675648103896739143924657451469417449311567299437506275088416035118378698677880386453304490461210193110087229706713515297966178313351787935044215564761123427812223206876171121732520875696990210199586639933451009943590193459778421847504531866680047699536865932941038981871000450594901557634262037870678262020853797617430597298016786133232840303566452820623663785390022917654991091660691828609623415502428750286645651760525961334256513520615909420565298380778911578125546016675224462185074461576889743555434900978871025730052406318475703885069510876941096147022494422112193301360665467964211261511987706993328692061386756598239519618199692948603888013233610948528720699195947243915721742492118756340691646260603823615390699180588717736260697980438698115894086299308256558092528070524217457851276610964373252525370912480808366000060022402443899062319055900528709151660321765781782654102130623499358174005179574139504055645708471270184659136297148316651719981861024949596893939988419525110185051595778223612122997303266369235918156046106163757743809318274502335501163805348114419347567169769964317987679277364262553015399397378509845686712471506300845909539322770564896377668345027538233789745076537973345567196621699080977337133393917386731150619528993623400486440404522030998658241062772600175856221082386244833682494743805628863289607684359448911062657458844585533312076113240124630537544633035284082697573168792755163782322772291233869458583244837490421103960458080574829583499889617129646411032384453206393482866093452249202087973284848061758151565933584900517610892008707502628081983377114618140510642529728920244657134342501592347141644730984053697220662591090927094631919212429862931219531540343045421034453045223181123739560156674276330620728070640027694365878292592505006283517107318666236106930735511605420227669622851572357055965055336075651513644305990770598498290661334016845401373328448008870418324755055058981237700415901593155576739194481401976225568304568548551819481969244471838570764273515122464138652266859107495744345455782995320497018315627585750133106040812288087185407876233449}
19471  37894082055680696582252771310770628839139925933374674708379835261037276: {19471,38938,291945,311408,350334,642081,953393,1361990,1634388,1847465,1945700,2216958,2314193,2334840,2389521,2490496,2626695,2738361,2780921,2801808,3130001,3152034,3305990,3594365,3967188,4063169,4175945,4216961,4296461,4313238,4471430,4706174,5011134,5031593,5174193,5365716,5574401,5845721,6024230,6388193,6625289,7015313,7078708,7187990,7229076,7270934,7324733,7657865,7829081,7889798,7905161,7963430,8285081,8351030,8490473,8625588,8635593,9125990,9184241,9189438,9341501,9556116,9669801,9908801,10021236,10112440,10235921,10342612,10349261,10358193,10702073,10951188,11147654,11260361,11271140,11376495,11438969,11620934,11835830,11979352,12134928,12213293,12395702,12553718,13142116,13249214,13476771,13525368,13651794,13844321,14155430,14202996,14647958,14775160,14811681,15157565,15193478,15216039,15567761,15808694,15925220,16026878,16043775,16086230,16622055,16842089,16864372,16889561,16979198,16986516,17113360,17514134,17728361,17730192,17873481,17894201,18189078,18507832,18598445,19110264,19151078,19170665,19252530,19274654,19303476,19666196,19902233,19904961,19946466,20010963,20122228,20469734,20536032,20549534,20821311,21401942,21499047,22022441,22026365,22081793,22240504,22255241,22265193,22318134,22464548,22474169,22518398,22895540,23004798,23103036,23378068,23822575,24051821,24091960,24138758,24614841,24787275,24788852,25020567,25326230,25768001,25902278,26144969,26431638,26439760,26569193,26620401,26737334,26878673,27008201,27103455,27143945,27199961,27474648,27535220,28055476,28582334,28587090,28746040,28910352,28950393,29078873,29614161,29744730,29866121,30282494,30383828,30391476,30492896,30567593,30851081,30908979,31309876,31365761,31460630,31552696,31600281,31727712,31852841,32072249,32169140,32260593,32339295,32524146,32572734,33042264,33397240,33680702,33713993,33725272,33757241,33907593,34032250,34179281,34284989,34304508,34483940,34495248,34553393,34653758,34909433,35285415,35447849,35496783,35693676,36169865,36645689,36811430,37151751,37172547,37358308,37401533,37571895,37637776,37732961,37752756,37851965,37940931,37955990,37997561,38006141,38298212,38379134,38399608,38602968,38807154,39169001,39393341,39627028,40076688,40216934,40237721,40240312,40441593,40838700,40903841,41094836,41168393,41380728,41638838,41806934,42258075,42342498,42870772,43199559,43403838,43428339,43435565,43474622,43561280,43667990,43724861,44173716,44228275,44581432,44642361,44676929,44808230,45075280,45086274,45167775,45247796,45270351,45422358,45547188,45746452,46213865,46474168,46553319,46717958,46785734,46930695,47188361,47839961,48098678,48178960,48224630,48442889,48617500,49006440,49125441,49361990,49823033,50059408,50154111,50204536,50709690,50949569,51156161,51668193,51743465,52035878,52122678,52273536,52283439,52284542,52393495,52401588,52616318,52618161,52985944,53073930,53769876,53893275,53904230,54090336,54201330,54282230,55132245,55374569,55456638,55869875,56105176,56316834,56480103,56505374,56610040,56612192,56750681,57237065,57486160,57682961,57814752,57869556,58341000,58450601,58579768,58807728,58811990,58832294,59077502,59155215,59234388,59303021,59595638,59609187,59707275,59713433,59726078,59738033,60458961,60851628,60922455,61111613,61243960,61582241,61730873,62011988,62092158,62230400,62613304,62672441,62872194,63098896,63118323,63183250,63221752,63238445,63294902,63686295,63687760,63688716,64127561,64420395,64671930,64685076,64790841,64983952,65041596,65054534,65138676,65179094,65210201,65547473,65633625,65902239,66158694,66321782,66493565,66634401,66665654,66739940,67043850,67507454,67544308,67902808,67932048,68562902,68684478,68715088,68748148,68814278,68899455,68983392,69070781,69689721,70009200,70422875,70439967,70574388,70622753,70750196,70888382,70986258,71124471,71513440,71648730,71815593,72247421,72433193,72755032,72904721,73080230,73106946,73188116,73492752,73501865,73570276,73733055,74676480,74694374,74847850,75283478,75458054,75819900,75886134,76004438,76313391,76335393,76390659,76423554,76425312,76887341,77082712,77233521,77250365,77304474,77606316,77796692,78313961,78329918,78413849,78648592,78715661,78760350,78880061,79548689,79654912,79792278,79916241,80087928,80208521,80213241,80452620,80874560,80959934,81399081,81638452,81849411,81862072,82043945,82404230,82679346,83168009,83752838,83760393,83769101,84011040,84224715,84315902,84507450,84582518,85082513,85590136,85710449,85732696,85816128,85978476,86718051,87001481,87130095,87246233,87696276,87967169,87974630,88102673,88202238,88302134,88376081,88479666,88510611,89031593,89611776,89817420,89839696,89878132,90098919,90111113,90141280,90291809,90460615,90548153,90805001,90849275,90983880,91627761,91704327,91967081,92094831,92700438,92938768,92939055,93115565,93157430,93355682,93357161,93561812,94002233,94123815,94512420,94550516,94787841,95206445,95728265,95805248,95930481,96039614,96108761,96169982,96288903,96431933,96439220,96449283,96543144,97049472,97439775,98044313,98211640,98331965,98374241,98452734,98644598,98688052,98762969,98771961,98885076,99091334,99134992,99338415,99620193,99776321,99889865,...,4384114289180465199413680736737188541790497596280717146607208134438144311909260791716265547388091043795416097154934067552833205860702621239060038776725591983324665107428496654767267632756469473461858695680296108002899889225997662492472805636067461983878119523582146527232556818532853790065417543632728318173887937438528845242380114574386184527156082676386906395261550001931068121790003647864896838926543181907504662709940302428257077757784056400249163529015122744326927076999799561022082405281800167678287846794404266894029246715088913368468532295402012553802480439028957348361806139020373727320987734084091473061789825350482678628827557225285927214226255428877436359960673906214191254280142272928598219168870227486609218798347928313073544980296410053557960110810321751848494049598841450602168981499058111719240745393930294688233176561543190916515251355952474819029970831839538973588095000108145987180290039996761228475187372839986702572785095742140488076348482235004001491927021497276244908328837020900864138528985525232876601959223265748756399250008366784554713491171598237173848604405987281613590813449639608951353730621571084469050580058954086348164570416297609168228162310027834262653613599448853244601346591453591279704562463339375822240063599382487910588051975828000600793202076845682717160904349361138396823240796397355714844310453738088603760831551713853363890206654788880922438146164554003238333715527535680701281779008684694154545894087064507705215437500728022233632616246765948769186324740579867971828034306736541757967605180092681169254794862696659229482924401814220623952281682015983609324438256081849008797652692824266257264805184017644814598038294265594596325220962323322825008454255528347471764820520932240784956981680930640584930821192115065744342077456704094032289943801702147952497670033827883307744488000080029869925198749758741200704945535547095687709043538802840831332477565340239432186005407527611295026912878848396197755535626642481366599462525253317892700146913402127704298149497329737688492314557541394808218343658412424366003114001551740464152559130089559693285757316905703152350070687199196504679794248949962008401127879385763694086528503557793370050978386326768717297794089595495598774636449511191889848974867492705324831200648587206029374664877654750363466901141628109848326444909992991740838484386143579145931881416876611792780711082768150986832840716726177380378776930097558390340218376430363054978492611444326449987228138613944107433106111333186156172861881376512604275191310488124602998936117297713130749010868754578113200690147856011610003504109311169486157520680856706305226992876179123335456462855526307978738262960883454787902792842558949906483908292708720457393894712604060297574831652746875565701774160970760853370259154504390123340008378022809758221648142574314015473893636892830468763142741286740448100868684859074654360797997720881778689127201831104597345160557766340073411974983600554535457540768985592641869301634091072758064735759309292325962451427685698020163285518203022478809994325793941043993760662691087503447666844141387749717449580543834977932}
19472  38043062677460509918448763271329040512523564893325180934151062676545864: {58407,272482,389260,467112,505882,525501,602671,835447,856108,894562,1127578,1438042,1593178,1670722,1825762,2042985,2058202,2179184,2432125,2451582,2600002,2687287,2918550,2955944,3063778,3113120,3147367,3186028,3218242,3325437,3449818,3502260,3651148,3735744,3758362,3835327,4202712,4292527,4634671,4728051,4958985,5289584,5297242,5750984,5834338,5950782,6335671,6469857,6681512,6707145,6898924,6982618,7059261,7154288,7516701,7593562,8020471,8048574,8127298,8801167,8848385,8964442,9036345,9192418,9467527,9638768,9647938,9875482,10102882,10481933,10618062,10781985,10843614,10906401,11500784,11514124,11560567,11766082,11834697,11945145,11992282,12252584,12526545,12640550,12670018,12741488,12893068,12928265,12938382,13346458,13361648,13688985,13784157,13810924,14088925,14334174,14601584,14620642,14845018,14974190,15031854,15134071,15143962,15168660,15293338,15513918,15964738,16179904,16194353,16426782,16427645,16486042,16709218,16721481,16906710,17050207,17377882,17431401,17526298,17753745,17969028,18033824,18202392,18314671,18468950,18593553,18637378,18830577,18838471,18937328,19047487,19151887,19460441,19713174,19748908,19818562,19873821,19906525,20088247,20288052,20477691,21069082,21080465,21233145,21304494,21391700,21430471,21582658,21971937,22162740,22648688,22680538,22760527,22790217,23134790,23471671,23640256,23674207,23713041,23774818,23831308,23887830,24040317,24129345,24252104,24582745,25152785,25296558,25300762,25445722,25468797,25479774,25480352,25663042,25670040,25683727,25737968,25783447,26271201,26280967,26539948,26595288,26677687,26681284,27252322,27283617,27381376,27608609,27664447,27684418,27761748,27762727,27800630,28080685,28115938,28331482,28619425,28665396,28726617,28741567,28762138,28878795,28911981,28936471,28955214,29222585,29499294,29509613,29686924,29757512,29919699,30114950,30183342,30193498,30581527,30673064,30704601,30804048,30824301,30986065,31157167,31634887,31760602,32102913,32612122,32819788,32824642,32933054,32962927,32966242,33049700,33360756,33477201,33599657,33696822,33777597,33902887,34343310,34419025,34449178,34507197,34654554,35067102,35069345,35082562,35210273,35242184,35293402,35391847,35493868,35761207,35784802,35932550,36135322,36137940,36208137,36221287,36313087,36632864,36679567,36953671,37183278,37254298,37393882,37603138,37681447,37979785,37989345,38021218,38116120,38547136,38600524,38853417,39008753,39033607,39137345,39212671,39341338,39440870,39485548,39647457,39659640,39973681,40102978,40106001,40211425,40517602,40521968,40664897,41000602,41211972,41302830,41413978,41746550,42083214,42133708,42156590,42303616,42582082,42694301,42873501,42880635,43014124,43104925,43119060,43165471,43198618,43365528,43430312,43767247,43801982,43882138,43928969,44056352,44291482,44427802,44617095,45108442,45210124,45423741,45467167,45575742,45587214,45719671,45739344,45855298,45993664,46362701,46532578,46697885,46870618,46964814,47047220,47190945,47275738,47329044,47591568,47872765,47949658,47999510,48151522,48253710,48780607,48786219,48859101,49092029,49533785,49535668,49563396,49671607,49694362,49961818,50095860,50234071,50300390,50337008,50521053,50587908,50872567,50895898,51048375,51257297,51361762,51368545,51456762,51470624,51494722,51561178,51725910,51742872,51980637,52788593,53283418,53349442,53435584,53540514,53547418,53588465,53679322,53765671,53877058,53922124,54065341,54149071,54272098,54451600,54786641,54929218,55174304,55211534,55217145,55319033,55519258,55726790,55819517,55846498,55889527,56037462,56108002,56344100,56456664,56499778,56559745,56629134,56634367,56782471,56860958,56930287,56933985,57183065,57298567,57411682,57447318,57568701,57599412,57801538,57871784,57904452,58092710,58210731,58753687,58825687,58898288,59226082,59414957,59440542,59470447,59523148,59826127,60115032,60125702,60180007,60223700,60325401,60360468,60563144,60602287,60707098,60729584,60771875,61091671,61092058,61156162,61258050,61476442,61642254,61732378,61758433,62071092,62128471,62380097,62458257,62574260,62710401,62755670,63013927,63149071,63199042,63262618,63513747,63619807,63643738,63660653,63686767,63960898,64153471,64306158,64484671,64945327,65099362,65105757,65211933,65341920,65500588,65501985,65540698,65855458,65918362,66232430,66260574,66421018,66752671,66797338,66872148,67212345,67447373,67612920,67629411,67735618,67871694,67884727,68133537,68148289,68320782,68359138,68442007,68619678,68626471,68817518,68890924,68932471,69043162,69229378,69477442,69496904,69663322,69698048,69711252,69849058,69868784,69972802,70019167,70076937,70131470,70157548,70178601,70316887,70713922,70762550,70765240,71083618,71489767,71514202,71629313,71693168,71857700,72005338,72065407,72120448,72148017,72251894,72268440,72293647,72336945,72373018,72434242,72464071,72556642,72577327,72926250,73224710,73289698,73509660,73837978,73942184,74023447,74042985,74081242,74263522,74567002,74891369,75016109,75089112,75306804,75315127,75354178,75497201,76064535,76359847,76379482,76554950,77086336,77128733,77159408,77160418,77425807,77514985,77788000,77998402,78020671,78053817,78184017,78266630,78362887,78410304,78416218,78426813,78595042,78602382,78609734,78845647,78873620,78893527,78924477,78979184,79027190,79131847,79226671,79308898,79478916,79603087,79609700,79610895,79928671,79961242,80375362,80611948,80654814,80856345,81083458,81135504,81229940,81260122,81301995,81321422,81372127,81423345,81503671,81557177,81730522,81808087,82023367,82434202,82609762,82789544,82990471,83018842,83135578,83184957,83424925,83479927,83520247,83529721,83660098,83829592,84116407,84157764,84183322,84430385,84475251,84658207,84758061,84878510,84915060,84918288,85074007,85407727,85517671,85626967,85771687,85893860,85935185,85975618,86075561,86090722,86229240,86246768,86263258,86387788,86581471,86650087,86722128,86743118,86804334,86851568,87089071,87466978,87511500,87515887,87848894,87869652,87993247,88211592,88217985,88248441,88437745,88454407,88616253,88845868,88851582,88899367,89060962,89334542,89391800,89393457,89400898,89589117,90006727,90079042,90392287,90576064,90754882,90809671,90857407,90867298,90943790,91142753,91277442,91341247,91372378,91485145,91579304,91708378,91865940,91962845,91977856,92077087,92309071,92434402,92494471,92530687,92712922,92715854,92759071,92877007,92919628,92975287,93017982,93138237,93268762,93345600,93413767,93455671,93590671,93755407,93839071,93878338,93919956,93952471,94099184,94157671,94204471,94266967,94308291,94309447,94375642,94389007,94447471,94463798,94501327,94648344,94678807,94697887,94715167,94761538,94771471,94774567,94774875,94781047,94784071,94789687,94832628,94942353,95162717,95415373,95531640,95533074,95754124,96023962,96188002,96351898,96353390,96570202,97007895,97027614,97245865,97475928,97562394,97581801,97708014,97768641,97990336,98310740,99238041,99331138,99438562,99482673,99568640,99814042,99998481,...,6576171433770697799120521105105782812685746394421075719910812201657216467863891187574398321082136565693124145732401101329249808791053931858590058165088387974986997661142744982150901449134704210192788043520444162004349833838996493738709208454101192975817179285373219790848835227799280685098126315449092477260831906157793267863570171861579276790734124014580359592892325002896602182685005471797345258389814772861256994064910453642385616636676084600373745293522684116490390615499699341533123607922700251517431770191606400341043870072633370052702798443103018830703720658543436022542709208530560590981481601126137209592684738025724017943241335837928890821339383143316154539941010859321286881420213409392897328753305341229913828197521892469610317470444615080336940166215482627772741074398262175903253472248587167578861118090895442032349764842314786374772877033928712228544956247759308460382142500162218980770435059995141842712781059259980053859177643613210732114522723352506002237890532245914367362493255531351296207793478287849314902938834898623134598875012550176832070236757397355760772906608980922420386220174459413427030595932356626703575870088431129522246855624446413752342243465041751393980420399173279866902019887180386919556843695009063733360095399073731865882077963742000901189803115268524075741356524041707595234861194596033572266465680607132905641247327570780045835309982183321383657219246831004857500573291303521051922668513027041231818841130596761557823156251092033350448924370148923153779487110869801957742051460104812636951407770139021753882192294044988844224386602721330935928422523023975413986657384122773513196479039236399385897207776026467221897057441398391894487831443484984237512681383292521207647230781398361177435472521395960877396231788172598616513116185056141048434915702553221928746505050741824961616732000120044804887798124638111801057418303320643531563565308204261246998716348010359148279008111291416942540369318272594296633303439963722049899193787879976839050220370103191556447224245994606532738471836312092212327515487618636549004671002327610696228838695134339539928635975358554728525106030798794757019691373424943012601691819078645541129792755336690055076467579490153075946691134393243398161954674266787834773462301239057987246800972880809044061997316482125545200351712442164772489667364989487611257726579215368718897822125314917689171066624152226480249261075089266070568165395146337585510327564645544582467738917166489674980842207920916161149659166999779234259292822064768906412786965732186904498404175946569696123516303131867169801035221784017415005256163966754229236281021285059457840489314268685003184694283289461968107394441325182181854189263838424859725862439063080686090842068906090446362247479120313348552661241456141280055388731756585185010012567034214637332472213861471023210840455339245703144714111930110672151303027288611981541196996581322668033690802746656896017740836649510110117962475400831803186311153478388962803952451136609137097103638963938488943677141528547030244928277304533718214991488690911565990640994036631255171500266212081624576174370815752466898}
19473  38192624846711612223331542701349751020210204544434791629254233201452521: {38942,77876,408723,486575,583890,622816,700668,758823,1070135,1284162,1341843,1691367,1906786,2157063,2389767,2506083,2586451,2723980,2738643,3087303,3268776,3286543,3677373,3694930,3891400,3900003,3982535,4377825,4433916,4563935,4595667,4628386,4669680,4779042,4801927,4827363,4980992,5032111,5174727,5253390,5476722,5561842,5603616,5637543,5846323,6199127,6260002,6304068,6611980,7188730,7598303,7829887,7934376,7945863,8126338,8351890,8433922,8592922,8623655,8626476,8751507,8758871,8926173,8942860,9342463,9412348,9577511,10022268,10063186,10276883,10348386,10473927,10721011,10731432,10854103,11148802,11390343,11440147,11691442,12048460,12072861,12190947,12592547,12776386,12953807,13250578,13446663,13650151,13788627,14030626,14157416,14375980,14392655,14458152,14471907,14541868,14649466,14813223,15144371,15154323,15315730,15658162,15779596,15810322,15926860,15927093,16116335,16265421,16570162,16702060,16980946,17251176,17263655,17271186,17482103,17649123,17693027,17988423,18251980,18368482,18378876,18398263,18683002,18960825,18966167,19005027,19112232,19339602,19407573,19817602,19904287,20019687,20042472,20224880,20471842,20685224,20698522,20716386,20974643,21220591,21404146,21501261,21902376,21930963,22267527,22295308,22461285,22520722,22542280,22547781,22715943,22752990,22877938,22940007,23070167,23241868,23270877,23671660,23947107,23958704,24269856,24426586,24640173,24679651,24686135,24729063,24791404,25063827,25107436,25360065,26037823,26066823,26284232,26289447,26313587,26498428,26739625,26838931,26881447,26953542,27050736,27303588,27335303,27688642,27703425,27956067,28310860,28405992,29295916,29550320,29569761,29623362,29727843,29789135,29803967,30315130,30386956,30432078,30836911,31135522,31603623,31617388,31645907,31850440,31918783,31956741,32053756,32087550,32172460,32373987,32596271,33174935,33244110,33351605,33684178,33728744,33779122,33958396,33973032,34020807,34226720,34702185,35028268,35456722,35460384,35662227,35746962,35788402,35831745,35846563,36378156,36649471,36706967,37015664,37108655,37196890,37903567,37944837,37951143,38001523,38168583,38219661,38220528,38302156,38341330,38494563,38505060,38549308,38606952,39332392,39804466,39809922,39889007,39892932,40021926,40244456,40878483,40939468,41024735,41072064,41099068,41312125,41526627,41642622,41700945,42110567,42173907,42497223,42803884,42808211,42998094,43143207,43432821,44044882,44052730,44163586,44248941,44367335,44481008,44510482,44530386,44636268,44929096,44948338,44993951,45036796,45172425,45275013,45290247,45791080,46009596,46206072,46756136,46863287,47640903,47645150,48103642,48183920,48250655,48258143,48277516,48340903,48918183,49229682,49236963,49356935,49399581,49449363,49574550,49577704,50041134,50545233,50637811,50652460,51514965,51536002,51673767,51804556,51981831,52289938,52600653,52623843,52667135,52800007,52863276,52879520,52940103,52992751,53041571,53138386,53240802,53474668,53677203,53757346,53767655,53898825,54016402,54202983,54206910,54287890,54399922,54761471,54949296,55070440,55768063,55774917,55881447,56090823,56110952,56404707,56512655,57031827,57164668,57174180,57250687,57492080,57820704,57900786,58157746,58208147,58809025,59012007,59161305,59228322,59288471,59489460,59732242,60154467,60213127,60564988,60767656,60776403,60782952,60809791,60985792,61135186,61500903,61702162,61817958,61919585,61954245,62120967,62619752,62619825,62731522,62921260,63105392,63124821,63200562,63234885,63455424,63705682,63873123,64144498,64338280,64498391,64521186,64678590,64699411,64797927,65048292,65145468,65326207,65702973,65823207,66084528,66144527,66279847,66437223,66641703,66794480,67361404,67402655,67427986,67450544,67514482,67662663,67815186,68064500,68358562,68363613,68380821,68569978,68609016,68782947,68967880,68990496,69077983,69106786,69307516,69798867,69818866,70305927,70430125,70447221,70570830,70895698,70913607,70993566,71387352,71924487,71999265,72227283,72339730,72380565,72440851,73291378,73350893,73622860,73678063,74303502,74345094,74403935,74541543,74716616,74803066,74942727,75143790,75275552,75279625,75450585,75465922,75505512,75703930,75881862,75911980,75995122,76012282,76343847,76596424,76758268,76799216,77042643,77185143,77205936,77242083,77341767,77588865,77614308,78217825,78338002,78786682,79254056,79925127,80024163,80131891,80153376,80310771,80321127,80379827,80433868,80475442,80480624,80518983,80637943,80815587,80883186,81408147,81481747,81613367,81677400,81807682,81875735,82189672,82336786,82393827,82761456,82817301,83277676,83278887,83590185,83613868,83769747,84056193,84162003,84516150,84604787,84684996,84749667,84943701,85291437,85741544,86113655,86117523,86170977,86399118,86702307,86807676,86856678,86871130,86949244,87122560,87139065,87335980,87449722,87696935,87976327,88347432,88456550,88533823,88839123,89160813,89162864,89284722,89353858,89504927,89616460,89822125,90150560,90172548,90188553,90225971,90335550,90495592,90540702,90732991,90844716,91060647,91094376,91492904,91638087,91734243,91887075,92214663,92427730,92463381,92552863,92598567,92948336,93090991,93106638,93165727,93435916,93571468,93861390,93905207,94012087,94133505,94376722,94557703,94798563,94893927,95450903,95465607,95679922,95941347,96197356,96354071,96357920,96449260,96459237,96885778,97155251,97235000,97649043,98012880,98250882,98311047,98592025,98723980,98773267,98783187,98877543,99348645,99390861,99512125,99631527,99646066,...,9864257150656046698680781657658674219028619591631613579866218302485824701795836781361597481623204848539686218598601651993874713186580897787885087247632581962480496491714117473226352173702056315289182065280666243006524750758494740608063812681151789463725768928059829686273252841698921027647189473173638715891247859236689901795355257792368915186101186021870539389338487504344903274027508207696017887584722159291885491097365680463578424955014126900560617940284026174735585923249549012299685411884050377276147655287409600511565805108950055079054197664654528246055580987815154033814063812795840886472222401689205814389027107038586026914862003756893336232009074714974231809911516288981930322130320114089345993129958011844870742296282838704415476205666922620505410249323223941659111611597393263854880208372880751368291677136343163048524647263472179562159315550893068342817434371638962690573213750243328471155652589992712764069171588889970080788766465419816098171784085028759003356835798368871551043739883297026944311690217431773972354408252347934701898312518825265248105355136096033641159359913471383630579330261689120140545893898534940055363805132646694283370283436669620628513365197562627090970630598759919800353029830770580379335265542513595600040143098610597798823116945613001351784704672902786113612034786062561392852291791894050358399698520910699358461870991356170068752964973274982075485828870246507286250859936955281577884002769540561847728261695895142336734734376638050025673386555223384730669230666304702936613077190157218955427111655208532630823288441067483266336579904081996403892633784535963120979986076184160269794718558854599078845811664039700832845586162097587841731747165227476356269022074938781811470846172097541766153208782093941316094347682258897924769674277584211572652373553829832893119757576112737442425098000180067207331697186957167701586127454980965297345347962306391870498074522015538722418512166937125413810553977408891444949955159945583074848790681819965258575330555154787334670836368991909799107707754468138318491273231427954823507006503491416044343258042701509309892953963037832092787659046198192135529537060137414518902537728617968311694689133005035082614701369235229613920036701589865097242932011400181752160193451858586980870201459321213566092995974723188317800527568663247158734501047484231416886589868823053078346733187972376533756599936228339720373891612633899105852248092719506378265491346968316873701608375749734512471263311881374241724488750499668851388939233097153359619180448598280356747606263919854544185274454697800754701552832676026122507884245950131343854421531927589186760733971403027504777041424934192952161091661987773272781283895757637289588793658594621029136263103359135669543371218680470022828991862184211920083083097634877777515018850551321955998708320792206534816260683008868554717071167895166008226954540932917972311795494871984002050536204119985344026611254974265165176943713101247704779466730217583444205928676704913705645655458445907733415515712292820545367392415956800577322487233036367348985961491054946882757250399318122436864261556223628700347}
19474  38342770817333218446280367173890340809349929855313018150283603274228836: {58413,97345,116814,214093,330769,544964,778520,796753,875835,913069,934224,1011764,1029313,1051002,1205342,1377613,1609453,1670894,1712216,1789124,1926243,1956673,2255156,2860179,2876084,3186356,3339073,3341444,3404975,3651524,4085970,4116404,4358368,4864250,4903164,5052493,5200004,5374574,5542395,5620033,5837100,5911888,5959693,6072769,6127556,6226240,6294734,6372056,6436484,6650874,6749713,6899636,6942579,7004520,7168563,7302296,7471488,7516724,7648273,7670654,7880085,8215083,8264975,8342763,8405424,8430733,8585054,8764993,9269342,9390003,9456102,9917970,10536769,10579168,10594484,10646893,10783095,11178575,11501968,11668676,11765435,11901564,12189507,12387739,12527835,12650883,12671342,12725569,12889383,12939714,13159873,13363024,13414290,13797848,13917133,13965236,14118522,14240593,14308576,14455873,15033402,15060575,15094779,15187124,15522579,15954769,16040942,16097148,16254596,16380433,16486669,16723203,17537163,17602334,17650513,17696770,17928884,17966413,17969975,18072690,18099571,18177335,18384836,18700993,18935054,19014733,19164579,19277536,19295876,19536193,19724495,19750964,19875867,19908575,20205764,20263213,20877575,20963866,21045939,21236124,21295693,21563970,21687228,21706669,21812802,21974199,22218769,22320973,22814975,22973595,22998703,23001568,23028248,23121134,23339053,23487243,23532164,23669394,23715483,23890290,23984564,24505168,24855243,25053090,25281100,25340036,25471419,25482976,25753069,25786136,25852753,25856530,25875971,25876764,25906779,26692916,26723296,26746669,26845633,27377970,27552723,27568314,27621848,27831313,27869135,28024503,28125613,28177850,28321453,28668348,29009403,29052335,29199169,29203168,29241284,29512651,29589575,29684269,29690036,29726403,29948380,30063708,30268142,30287924,30337320,30586676,30707763,30989255,31027836,31047783,31074579,31384295,31929476,32106219,32359808,32388706,32557069,32853564,32855290,32972084,33029569,33123035,33406273,33418436,33442962,33781083,33813420,34100414,34129485,34316907,34415843,34755764,34862802,34901569,34994413,35052596,35213899,35388575,35507490,35938056,36067648,36194833,36286669,36404784,36619895,36629342,36639879,36937900,37109953,37187106,37274756,37292113,37661154,37676942,37874656,37983695,38094974,38303774,38649133,38920882,39008269,39312959,39426348,39497816,39521735,39637124,39747642,39813050,40067195,40176494,40215575,40256173,40344769,40430313,40576104,40698433,40911619,40955382,41532963,41577553,41665069,42138164,42160930,42447995,42466290,42608988,42783400,42860942,42882733,43055533,43165316,43380491,43743853,43785335,43943874,44325480,44435043,44676467,44767693,45106669,45297376,45361076,45444493,45472695,45521054,45580434,45648117,46269580,46701073,46703283,46943342,47241623,47280512,47281933,47348414,47426082,47549636,47662616,47775660,47877695,48080634,48131325,48186635,48258690,48433069,48504208,49097083,49165490,49731373,49866165,49972753,50305570,50526267,50593116,50601524,50668683,50891444,50937594,50959548,50960704,51174335,51326084,51340080,51367454,51373835,51475936,51566894,52350913,52542402,52561934,52740973,52818769,53079896,53171699,53185083,53190576,53355374,53362568,53504855,53620443,53682603,53977069,54070907,54283213,54504644,54567234,54740269,54762752,54792283,54816193,55217218,55328894,55368836,55496269,55523496,55525454,55601260,55795335,56161370,56231876,56295995,56662964,57060433,57238850,57330792,57453234,57483134,57511995,57524276,57757590,57823962,57872942,57910428,58012813,58085569,58375873,58445170,58998588,59019226,59373848,59515024,59596813,59706699,59714883,59839398,59951953,60032889,60229900,60346895,60366684,60386996,61006573,61163054,61285069,61346128,61409202,61608096,61648602,61764791,61907473,61972130,61976269,62044993,62314334,62386519,62463933,62728273,62931853,63269774,63315575,63521204,63895403,64205826,64272493,64497141,64603153,64755695,65224244,65377039,65639576,65649169,65649284,65866108,65925854,65932484,66036673,66067323,66079095,66099400,66229453,66245379,66293569,66549313,66721512,66765723,66795579,66843335,66930769,66954402,67021871,67199314,67393644,67422507,67555194,67560769,67623373,67805774,68155307,68245453,68686620,68838050,68860333,68898356,69014394,69024131,69309108,69347053,69347299,69468013,69648913,69769153,69948973,70134204,70138690,70165124,70420546,70484368,70586804,70602769,70783694,70987736,71455835,71467725,71522414,71569604,71711533,71769169,71865100,71915963,72155463,72270644,72275880,72416274,72442574,72626174,72848171,72850573,72987239,73186669,73265728,73359134,73741069,73796113,73844523,73907342,73960813,74361825,74366556,74505133,74508596,74787764,75023851,75061701,75095569,75206276,75362894,75706235,75886669,75938833,75959570,75978690,76042436,76146769,76232240,76353553,76661569,76916269,77094272,77201048,77304003,77470273,77619853,77706834,78017506,78067214,78274690,78425342,78434907,78455233,78600493,78648769,78651575,78682676,78881740,78971096,79175053,79183643,79294914,79319280,79707579,79785793,79861203,79947362,80056291,80063569,80205956,80212002,80422850,80538887,80636019,80746669,80926093,81024603,81035204,81043936,81237313,81310365,81329794,81431835,81599883,81892333,82001204,82423944,82605660,82698769,82827956,82906669,83071693,83153773,83357713,83493100,83538323,84155473,84166428,84201755,84267416,84272653,84313180,84466513,84607232,84658573,84734893,84848833,85080625,85164164,85298113,85388602,85747002,85761270,85952593,86028248,86200813,86209850,86238120,86330942,86341069,86375953,86397236,86549293,86634395,86731056,86851179,86860624,87025069,87158413,87191569,87224653,87236619,87323473,87534494,87603964,87764276,87857938,87997069,88112704,88121773,88337233,88428493,88582964,88609069,88842483,88855604,89020333,89234190,89500753,89598363,89746669,89986753,90013069,90143569,90216884,90272269,90420248,90424333,90549073,90623053,90847482,90888769,90934334,91030033,91122769,91151484,91152139,91174428,91214353,91259713,91349569,91439342,91478688,91702779,91710596,91987328,92028575,92066833,92204173,92541133,92553243,92725402,92726937,92735569,92986669,93065156,93145069,93281473,93356747,93369169,93395770,93577069,93719233,93741236,93817153,93899053,93929628,93944269,94041793,94052269,94094440,94097283,94282093,94324753,94381890,94449169,94477393,94491073,94524013,94542913,94549069,94551476,94601233,94612033,94627693,94637773,94652353,94658088,94675213,94704193,94719169,94736269,94767553,94774573,94786669,94796173,94800843,94889975,95183136,95425199,95558523,95745530,95899316,95947835,95999020,96216747,96303044,96507420,96781779,97017885,97561214,97572438,97718202,98184058,98716943,99067570,99071336,99126792,99343214,99388724,99923636,...,13152342867541395598241042210211565625371492788842151439821624403314432935727782375148796642164273131386248291464802202658499617582107863717180116330176775949973995322285489964301802898269408420385576087040888324008699667677992987477418416908202385951634358570746439581697670455598561370196252630898184954521663812315586535727140343723158553581468248029160719185784650005793204365370010943594690516779629545722513988129820907284771233273352169200747490587045368232980781230999398683066247215845400503034863540383212800682087740145266740105405596886206037661407441317086872045085418417061121181962963202252274419185369476051448035886482671675857781642678766286632309079882021718642573762840426818785794657506610682459827656395043784939220634940889230160673880332430965255545482148796524351806506944497174335157722236181790884064699529684629572749545754067857424457089912495518616920764285000324437961540870119990283685425562118519960107718355287226421464229045446705012004475781064491828734724986511062702592415586956575698629805877669797246269197750025100353664140473514794711521545813217961844840772440348918826854061191864713253407151740176862259044493711248892827504684486930083502787960840798346559733804039774360773839113687390018127466720190798147463731764155927484001802379606230537048151482713048083415190469722389192067144532931361214265811282494655141560091670619964366642767314438493662009715001146582607042103845337026054082463637682261193523115646312502184066700897848740297846307558974221739603915484102920209625273902815540278043507764384588089977688448773205442661871856845046047950827973314768245547026392958078472798771794415552052934443794114882796783788975662886969968475025362766585042415294461562796722354870945042791921754792463576345197233026232370112282096869831405106443857493010101483649923233464000240089609775596249276223602114836606641287063127130616408522493997432696020718296558016222582833885080738636545188593266606879927444099798387575759953678100440740206383112894448491989213065476943672624184424655030975237273098009342004655221392457677390268679079857271950717109457050212061597589514039382746849886025203383638157291082259585510673380110152935158980306151893382268786486796323909348533575669546924602478115974493601945761618088123994632964251090400703424884329544979334729978975222515453158430737437795644250629835378342133248304452960498522150178532141136330790292675171020655129291089164935477834332979349961684415841832322299318333999558468518585644129537812825573931464373808996808351893139392247032606263734339602070443568034830010512327933508458472562042570118915680978628537370006369388566578923936214788882650364363708378527676849719451724878126161372181684137812180892724494958240626697105322482912282560110777463513170370020025134068429274664944427722942046421680910678491406289428223860221344302606054577223963082393993162645336067381605493313792035481673299020220235924950801663606372622306956777925607904902273218274194207277927876977887354283057094060489856554609067436429982977381823131981281988073262510343000532424163249152348741631504933796}
19475  38493502851897652620215095609879041624638069321394383109560233217423061: {77884,155752,175221,681205,817446,973150,1167780,1245632,1264705,1401336,1498189,1517646,1576503,1808013,2140270,2236405,2506341,2568324,2683686,2818945,3382734,3595105,3636589,3813572,3982945,4176805,4314126,4564405,4779534,4918573,5012166,5145505,5172902,5447960,5477286,5575549,5618449,6128955,6174606,6389509,6500005,6537552,6573086,6626653,7296375,7326241,7354746,7389860,7659445,7782800,7800006,7906789,7965070,8045605,8061861,8492221,8624545,8755650,8759773,8867832,9127870,9186133,9191334,9256772,9339360,9395905,9442101,9558084,9578497,9603854,9654726,9961984,9976311,10038589,10064222,10238029,10277941,10349454,10351393,10506780,10704277,10953444,11123684,11207232,11275086,11505981,11692646,12073117,12215809,12398254,12520004,12608136,12877581,12955141,13019413,13223960,13243105,13533649,13847173,13904013,14184153,14377460,14585845,14876955,14882101,15196606,15570973,15659774,15868752,15891726,16252676,16329697,16703780,16867844,17185844,17247310,17252952,17456545,17503014,17517742,17694853,17852346,17885720,17897893,18684926,18824696,18983905,19007013,19155022,19409571,19538821,20044536,20121435,20126372,20149717,20318245,20553766,20696772,20909941,20947854,21177783,21442022,21462864,21708206,22086349,22297604,22411105,22414561,22550103,22562869,22780686,22880294,22981045,23382884,23400109,24061413,24096920,24119845,24145722,24169117,24195541,24381894,24661213,24688705,25185094,25257205,25552772,25907614,26025997,26403501,26501156,26545155,26893326,27109035,27205573,27300302,27577254,27858853,28061252,28314832,28402581,28751960,28785310,28916304,28943814,29083736,29298932,29415205,29626446,29980705,30288742,30308646,30551221,30631460,31316324,31445799,31559192,31601375,31620644,31649173,31675045,31853720,31854186,31859413,32232670,32345955,32530842,32537341,32719203,33140324,33171157,33366145,33404120,33720949,33961892,34186333,34502352,34527310,34542372,34560589,34606693,34681701,34964206,35200741,35298246,35386054,35504091,35835435,35976846,36503960,36551605,36736964,36757752,36796526,37112545,37358749,37366004,37435475,37579635,37653397,37859905,37921650,37932334,38010054,38224464,38233345,38679204,38784795,38815146,39635204,39808574,39911845,40039374,40084944,40449760,40492573,40943684,41012641,41066955,41215105,41352471,41370448,41397044,41432772,41704789,41751589,41773045,41949286,42114913,42266775,42304357,42441182,42639973,42808292,42812629,43002522,43380961,43444705,43804752,43815745,43861926,44164741,44535054,44590616,44922570,45041444,45084560,45095562,45402213,45431886,45505980,45650797,45755876,45880014,46140334,46172375,46444909,46483736,46541754,46593445,46692247,47343320,47894214,47917408,48034789,48451873,48539712,48583059,48853172,48909697,49149301,49280346,49282935,49289053,49359302,49372270,49458126,49546405,49582808,50127654,50164443,50214872,50287357,50720130,51150621,51514369,51952117,52075646,52133646,52294203,52568464,52578894,52627174,52672705,52996856,53047093,53261235,53479250,53677862,53762894,53907084,53956645,54101472,54298189,54607176,54670606,54944013,55377284,55406850,55780659,55912134,56491731,56515413,56621720,56701345,56811984,57142461,57434629,57455661,57836975,58381323,58591832,59100640,59139522,59246724,59294653,59437045,59455686,59578270,59607934,59621463,59710453,59719575,60264741,60630260,60773912,60864156,61203997,61433073,61673822,62114269,62271044,62559949,62685493,63207246,63234776,63241395,63251905,63291814,63354241,63614305,63699435,63700880,63837566,63913482,64107512,64157605,64175100,64291413,64344920,64693189,64747974,65153197,65192542,65915811,66349870,66488220,66703210,67032373,67368356,67457488,67550917,67558244,67916792,67946064,68041614,68130805,68281581,68370651,68453440,69099709,69211045,69404370,69501575,70056536,70068193,70289845,70415013,70828705,70913444,70920768,71022621,71139123,71151877,71324454,71493924,71576804,71663490,71693126,71905345,72086437,72120951,72314461,72388035,72756312,73298942,73413934,73733989,73748235,74031328,74212429,74217310,74393780,75274717,75287375,75458355,75483745,75807134,75889674,75902286,76003046,76337166,76406391,76439322,76441056,76604312,76682660,76714657,76989126,77010120,77051181,77098616,77213904,77350341,78086797,78664784,78813603,78842901,79117717,79346941,79401505,79608932,79619844,79778014,79785864,80033061,80043852,80057953,80388253,80488912,81530305,81756966,81850851,81878936,81956269,82049470,82061605,82144128,82198136,82332635,82415605,82624250,82825827,82993341,83053254,83285244,83288181,83401890,84221134,84242055,84347814,84994446,85490701,85607768,85616422,85858275,85996188,86122945,86179851,86224701,86286414,86636385,86687419,86735943,86809413,86865642,87667755,87706405,87822817,88089764,88105460,88233505,88327172,88497882,88528839,88734670,88962016,89020964,89060772,89272536,89462005,89759097,89831375,89858192,89896676,89987902,90073592,90323329,90338305,90344850,90550026,90580494,90644653,91193761,91582160,91744581,92019192,92113803,92412144,92472903,92958195,93135745,93471501,93484705,93512272,93726574,93871021,94007845,94363717,94673701,94904661,94994341,95053045,95281806,95290300,96207284,96308739,96367840,96452161,96501310,96516286,96555032,96681806,96692641,96772093,97457653,97836366,97836769,98353345,98459364,98473926,98602175,98713870,98799162,98888781,98898726,98971237,99149100,99155408,...,19728514301312093397361563315317348438057239183263227159732436604971649403591673562723194963246409697079372437197203303987749426373161795575770174495265163924960992983428234946452704347404112630578364130561332486013049501516989481216127625362303578927451537856119659372546505683397842055294378946347277431782495718473379803590710515584737830372202372043741078778676975008689806548055016415392035775169444318583770982194731360927156849910028253801121235880568052349471171846499098024599370823768100754552295310574819201023131610217900110158108395329309056492111161975630308067628127625591681772944444803378411628778054214077172053829724007513786672464018149429948463619823032577963860644260640228178691986259916023689741484592565677408830952411333845241010820498646447883318223223194786527709760416745761502736583354272686326097049294526944359124318631101786136685634868743277925381146427500486656942311305179985425528138343177779940161577532930839632196343568170057518006713671596737743102087479766594053888623380434863547944708816504695869403796625037650530496210710272192067282318719826942767261158660523378240281091787797069880110727610265293388566740566873339241257026730395125254181941261197519839600706059661541160758670531085027191200080286197221195597646233891226002703569409345805572227224069572125122785704583583788100716799397041821398716923741982712340137505929946549964150971657740493014572501719873910563155768005539081123695456523391790284673469468753276100051346773110446769461338461332609405873226154380314437910854223310417065261646576882134966532673159808163992807785267569071926241959972152368320539589437117709198157691623328079401665691172324195175683463494330454952712538044149877563622941692344195083532306417564187882632188695364517795849539348555168423145304747107659665786239515152225474884850196000360134414663394373914335403172254909961930594690695924612783740996149044031077444837024333874250827621107954817782889899910319891166149697581363639930517150661110309574669341672737983819598215415508936276636982546462855909647014013006982832088686516085403018619785907926075664185575318092396384271059074120274829037805075457235936623389378266010070165229402738470459227840073403179730194485864022800363504320386903717173961740402918642427132185991949446376635601055137326494317469002094968462833773179737646106156693466375944753067513199872456679440747783225267798211704496185439012756530982693936633747403216751499469024942526623762748483448977500999337702777878466194306719238360897196560713495212527839709088370548909395601509403105665352052245015768491900262687708843063855178373521467942806055009554082849868385904322183323975546545562567791515274579177587317189242058272526206718271339086742437360940045657983724368423840166166195269755555030037701102643911997416641584413069632521366017737109434142335790332016453909081865835944623590989743968004101072408239970688053222509948530330353887426202495409558933460435166888411857353409827411291310916891815466831031424585641090734784831913601154644974466072734697971922982109893765514500798636244873728523112447257400694}
19476  38644823221683484108421187538855117214788363349850010622290109643143254: {97355,116826,136283,194690,233628,253019,369683,428186,563963,661538,835619,913163,1029419,1089928,1145603,1226169,1416419,1459725,1557040,1593506,1725443,1751670,1826138,1868448,1879763,1995419,2023528,2058626,2102004,2276469,2410684,2755226,3033083,3210405,3218906,3224603,3341788,3424432,3578248,3852486,3913346,4025529,4369523,4510312,4597643,4766965,4939283,5053019,5074101,5166683,5620619,5720358,5752168,5998019,6372712,6449843,6471189,6678146,6682888,6809950,7169301,7303048,7424843,7518249,7574363,7759353,8171940,8215929,8232808,8357243,8716736,8803019,8877203,9237325,9261909,9543419,9728500,9806328,9859629,10104986,10400008,10537883,10648019,10749148,10904723,11032119,11084790,11240066,11453483,11570965,11636003,11674200,11700009,11823776,11919386,11947605,12145538,12255112,12452480,12589468,12654419,12744112,12835619,12872968,13133475,13301748,13486283,13499426,13630523,13691805,13738619,13787001,13799272,13885158,13904605,14009040,14170283,14337126,14405781,14482089,14604592,14887163,14942976,15033448,15096333,15296546,15341308,15524181,15636443,15650005,15760170,15992003,16417619,16430166,16471609,16529950,16685526,16810848,16861466,16912629,17170108,17371043,17529986,17538969,17652419,17971825,18178619,18538684,18597381,18780006,18807683,18912204,19051619,19329923,19573019,19835940,20161763,20315845,20369003,20610419,20879725,21073538,21084805,21158336,21188968,21293786,21298019,21482305,21566190,21709043,22323419,22357150,22794909,22935203,23003936,23240123,23337352,23489661,23530870,23746883,23803128,23837589,24083723,24379014,24775478,25055670,25157965,25289723,25301766,25342684,25448269,25451138,25755923,25778766,25789163,25855619,25870965,25879428,26254521,26276613,26319746,26726048,26749643,26778519,26782643,26828580,26947523,27595696,27614293,27834266,27834419,27872005,27930472,28027389,28063403,28237044,28481186,28617152,28732533,28813019,28911746,29202443,29228605,29719883,30066804,30106619,30121150,30189558,30374248,30580693,30830649,30972563,31045158,31421781,31909538,31940965,32081884,32163033,32194296,32509192,32562309,32760866,32876003,32973338,33033323,33064763,33126445,33446406,33504083,34171029,34320441,34626563,34750643,34843619,34936523,35074326,35076565,35204668,35301026,35369123,35393540,35857768,35932826,35939950,36145380,36199142,36218583,36229619,36290843,36321443,36354670,36474323,36572841,36623665,36769672,37144619,37401986,37777641,37870108,38029466,38289325,38329158,38555072,38563643,38591752,38861421,39012803,39016789,39042683,39072386,39102419,39145405,39311243,39400619,39448990,39501928,39525805,39638603,39751734,39817150,40083443,40339989,40411528,40526426,40644323,40673269,40732619,40950453,40967723,41319419,41365881,41425405,41669963,41755150,41927732,42091878,42452365,42472248,42591386,43003043,43127940,43146923,43177965,43374456,43384957,43413338,43415721,43625604,43777619,43938013,43948398,44347619,44437538,44439669,44546363,44641946,45140243,45433113,45462969,45478019,45629950,45702563,45921205,45947190,45997406,46003136,46056496,46242268,46372249,46373123,46678106,46707505,46734419,46956083,46974486,47064328,47287619,47338788,47430966,47480483,47780580,47781279,47969128,48111419,48193403,48349005,48796263,48846683,49010336,49414523,49544005,49710486,49737419,50085923,50106180,50562200,50680072,50942838,50965952,51179605,51255443,51267853,51506138,51572272,51705506,51713060,51746305,51751942,51753528,51790965,51813558,52122419,52200803,52446309,52773419,52799461,52851203,52947369,53079081,53177173,53385832,53446592,53493338,53510365,53691266,53965269,54315419,54518843,54747083,54755940,54823019,55105446,55136628,55194789,55243696,55330429,55528283,55662626,55738270,55831009,56049006,56094073,56127803,56251226,56301805,56355700,56401043,56623883,56642906,56882475,56898501,57015081,57194845,57336696,57362003,57874403,58018806,58044419,58104670,58222719,58398338,58406336,58479803,58482568,58696523,58840643,59025302,59179150,59368538,59380072,59427193,59452806,59485619,59533163,59712861,59896760,59959619,60059061,60124763,60127416,60536284,60575848,60674640,60828083,60944603,61066465,61173352,61299469,61415526,61938419,61978510,62055672,62095566,62149158,62463923,62768590,62923929,62962619,63030323,63345323,63661773,63681083,63858952,63901981,63903923,64212438,64347203,64503783,64633619,64719616,64777412,64809203,65071619,65114138,65137043,65549723,65657843,65679443,65707128,65710580,65792889,65944168,66059138,66246070,66579419,66802581,66812546,66836872,66885924,67003019,67028773,67318619,67383855,67461289,67465283,67562166,67590683,67626840,67643343,67882163,68147829,68200828,68258970,68398763,68633814,68820021,68831686,68930723,69031237,69073019,69210501,69221605,69235163,69511528,69678419,69725604,69738563,69803138,69812631,69988826,70038203,70105192,70375619,70427798,70777150,71014980,71605883,71644069,71740619,71836619,71841321,71876112,71923369,71970683,72123419,72135296,72256643,72389666,72573338,72748043,72809568,72855673,72994753,73196843,73239790,73258684,73279758,73382483,73806419,73875800,73920519,74038953,74058405,74187189,74219906,74374212,74479523,74533619,74549512,74584226,74906797,74945963,75159419,75191481,75322308,75336419,75353884,75424619,75512749,75749312,75787825,75949619,75967390,76080195,76174883,76189948,76381619,76607548,76672523,76689563,77144617,77298266,77398019,77448083,77481419,77838805,77841764,78016538,78092363,78113469,78200469,78271883,78625918,78660203,78814393,78852696,78868341,78940761,78995632,79043470,79154963,79186619,79274248,79375883,79495284,79532723,79626100,79657619,79704323,79766483,79936763,80134390,80218875,80274419,80352988,80396243,80431150,80502419,80512346,80516793,80547181,80644341,80689538,80860626,80908283,81152208,81396866,81440363,81573973,81823238,81910764,82005909,82048019,82431203,82641563,82711283,83001923,83065926,83110275,83125403,83155106,83207363,83330138,83465003,83505419,83865923,83868201,84142283,84168419,84210445,84276328,84321860,84447805,84485653,84684419,84786083,84836723,84895990,84932580,85217976,85311419,85566800,85714283,85721884,85765466,85798619,85822643,85978019,86072963,86093293,86111066,86330632,86331419,86366363,86528483,86563019,86760982,86768723,86814083,86929909,87050123,87105803,87315563,87435683,87487706,87544043,87565619,87570670,87885419,87887748,88021763,88321043,88422683,88453019,88573643,88641805,88650960,88709283,88870086,89044619,89183529,89216483,89352934,89367405,89411901,89471005,89515619,89535386,89770643,89851283,89895803,89922419,89984243,90036923,90141419,90210443,90213338,90439619,90464723,90547883,90594752,90622043,90657973,90671123,90722152,90888986,90904283,90912203,90945390,91042108,91160868,91296234,91372763,91387619,91548923,91628123,91783619,91839203,91942043,91989419,92122619,92220419,92297363,92510733,92521283,92539160,92563619,92575643,92653019,92809403,92938019,92992225,93008843,93088883,93115163,93362123,93366361,93386243,93391043,93402146,93406566,93471419,93554003,93580669,93585419,93598763,93702923,93826643,93846563,93858419,93886684,93984083,94016843,94038323,94063019,94104443,94228019,94282523,94303019,94345619,94353923,94462619,94483246,94509419,94525043,94542419,94548803,94561024,94563866,94621619,94667843,94672619,94696828,94698323,94712363,94738043,94739243,94755203,94792163,94810869,94814483,94819619,94826243,94828619,94852164,94937721,95099272,95182321,95325232,95551320,95755390,95756349,95853325,95870223,96161268,96262650,96373270,96517380,96866138,97008416,97121961,97788813,98194166,98330980,98727109,99462746,99511165,99524805,99732330,99945506,...,29592771451968140096042344972976022657085858774894840739598654907457474105387510344084792444869614545619058655795804955981624139559742693363655261742897745887441489475142352419679056521106168945867546195841998729019574252275484221824191438043455368391177306784179489058819758525096763082941568419520916147673743577710069705386065773377106745558303558065611618168015462513034709822082524623088053662754166477875656473292097041390735274865042380701681853820852078524206757769748647036899056235652151131828442965862228801534697415326850165237162592993963584738166742963445462101442191438387522659416667205067617443167081321115758080744586011270680008696027224144922695429734548866945790966390960342268037979389874035534612226888848516113246428617000767861516230747969671824977334834792179791564640625118642254104875031409029489145573941790416538686477946652679205028452303114916888071719641250729985413466957769978138292207514766669910242366299396259448294515352255086277010070507395106614653131219649891080832935070652295321917063224757043804105694937556475795744316065408288100923478079740414150891737990785067360421637681695604820166091415397940082850110850310008861885540095592687881272911891796279759401059089492311741138005796627540786800120429295831793396469350836839004055354114018708358340836104358187684178556875375682151075199095562732098075385612974068510206258894919824946226457486610739521858752579810865844733652008308621685543184785087685427010204203129914150077020159665670154192007691998914108809839231570471656866281334965625597892469865323202449799009739712245989211677901353607889362939958228552480809384155676563797236537434992119102498536758486292763525195241495682429068807066224816345434412538516292625298459626346281823948283043046776693774309022832752634717957120661489498679359272728338212327275294000540201621995091560871503104758382364942895892036043886919175611494223566046616167255536500811376241431661932226674334849865479836749224546372045459895775725991665464362004012509106975729397323123263404414955473819694283864470521019510474248133029774128104527929678861889113496278362977138594576406588611180412243556707613185853904935084067399015105247844104107705688841760110104769595291728796034200545256480580355575760942610604377963640698278987924169564953401582705989741476203503142452694250659769606469159235040199563917129601269799808685019161121674837901697317556744278158519134796474040904950621104825127249203537413789935644122725173466251499006554166817699291460078857541345794841070242818791759563632555823364093402264104658498028078367523652737850394031563264595782767560282201914209082514331124274802578856483274985963319818343851687272911868766380975783863087408789310077407008630113656041410068486975586552635760249249292904633332545056551653965867996124962376619604448782049026605664151213503685498024680863622798753916935386484615952006151608612359956032079833764922795495530831139303743114338400190652750332617786030114741116936966375337723200246547136878461636102177247870401731967461699109102046957884473164840648271751197954367310592784668670886101041}
19477  38796734206708789546184300368908869041693636992068978537668799023044082: {19477,155768,175239,292035,311504,350442,642279,953687,992307,1362410,1634892,1770587,1946300,2335560,2390259,2491264,2529410,2627505,2739207,2802672,2996378,3013355,3035292,3087939,3130967,3153006,3616026,3946523,4064423,4132839,4177235,4280540,4297787,4472810,4828359,5012682,5033147,5136648,5367372,5576123,5637890,5778729,5812859,5847527,5870019,6279443,6390167,6765468,7190210,7203707,7273178,7627144,7831499,7907603,7965890,8353610,8580537,8628252,9100007,9128810,9187079,9344387,9559068,9837146,10017219,10024332,10214925,10239083,10291010,10345804,10352459,10705379,10723223,10856339,10895920,10954572,11151098,11236898,11263847,11442503,11863787,12074363,12160625,12217067,12257910,12349212,12779018,13000010,13075104,13146172,13154267,13253306,13436435,13652963,13848599,14193827,14592750,14652482,14709492,14779720,15125843,15157479,15318890,15386579,15565600,15600012,15736835,15813578,15930140,16091210,16123722,16523867,16627185,16847303,16860099,16984442,17249090,17455883,17511300,17519546,17735664,17879079,18218307,18255740,18372266,18382668,18402059,18513544,18540347,18678720,18791810,18884202,19116168,19156994,19176635,19207708,19309452,19923968,19952622,20077178,20128444,20249139,20420183,20476058,20555882,20698908,20702786,20827737,20912099,21013560,21408554,21462635,21505689,21906888,22247368,22414464,22550172,22944819,23011962,23173355,23385292,23640255,24059267,24146234,24431618,24439163,24645249,24684743,24794925,24796508,25028289,25040008,25216272,25292199,25755162,25864199,25910282,26028683,26038826,26153063,26294979,26447920,26486210,26562707,26577467,27067298,27694346,27808026,28170009,28368306,28445543,28754920,29087879,29171690,29753910,29764202,29875367,30393212,31141946,31319548,31375547,31610307,31678355,31737504,31783452,31940679,32173463,32349285,32505352,32540699,32659394,32924099,33346643,33407560,33535725,33735688,33767783,34295603,34371688,34494620,34505904,34564187,34913090,35006028,35035484,35296305,35360087,35389706,35458823,35704692,35771440,35795786,35853959,36568521,37163217,37369852,37583505,37649392,37657283,37952649,37967810,38014026,38017907,38176707,38310044,38668149,38819142,39077642,39181127,39479619,40089072,40102355,40242870,40250183,40252744,40299434,40636490,40898819,40916579,41107532,41181287,41393544,41739947,41751399,41819882,41895708,41972987,42175463,42308723,42355566,42721779,42884044,42925728,43367619,43416412,43738403,43841099,44005835,44169299,44172698,44241925,44345063,44595208,44822210,44829122,45100206,45125738,45181725,45284337,45561372,45760588,45962090,46567737,46712603,46765768,46800218,47337635,47854859,47864307,48025667,48122826,48193840,48239690,48291444,48338234,48391082,48458003,48763788,49141299,49322426,49342787,49377410,49460007,49566203,50169609,50370188,50514410,50815379,51021479,51105544,51172247,51815228,51957563,52051994,52409665,52611489,52807002,52951539,53002312,53003867,53090310,53526683,53786652,53899239,53909925,54218070,54298713,54411146,54532005,54600604,54663779,55154508,55717706,55876583,56102979,56122504,56629664,56768387,56805162,57044199,57493737,57503920,57570620,57574883,57701147,57802835,57832608,57887628,58167472,58250699,58482263,58597864,58608579,58830410,59173485,59252892,59627601,59716679,59725725,59961410,60577484,60617292,60789639,60822587,61102442,61262920,61342043,62632648,62632725,62692019,62891598,63118384,63137817,63202750,63215027,63241288,63298346,63350090,63707440,63708372,63718826,63887079,64170587,64465340,64641325,64691910,65061684,65074682,65120007,65230823,65438406,65922597,66280648,66342314,66656307,66732290,66808240,66962919,67441898,67723499,67923784,68372666,68444925,68920785,68996109,69004704,69046163,69054620,69084744,69121178,69213386,69363402,69364967,69919943,69928412,70017159,70075499,70401482,70444625,70461729,70566899,70596492,70772108,71008182,71146449,71670870,71953692,72818279,72927467,73007920,73103210,73473928,73515504,73593052,73741787,74225090,74565729,74717498,74732008,74866283,74870950,75159270,75306794,75539303,75670355,75719810,75843300,75864668,76020108,76058903,76414257,76448928,76455587,76466690,76539347,77259207,77358408,77558259,77569590,77627913,77630292,77720337,77834579,78740243,79270408,79381883,79573703,79617148,79823690,80078748,80169888,80233499,80240007,80536899,80899520,80971765,80985146,81643259,81887368,82005323,82025282,82133910,82138225,82430210,82658169,82704942,82740896,82794088,82865544,82943303,83211863,83274323,83409578,83493939,83503178,83546090,83607405,83898572,83963219,84073509,84229826,84376839,84533550,84608714,84882364,84964359,85251035,85279946,85616584,85625258,86005044,86761922,86889410,87028209,87157005,87273479,87597507,87609504,87631490,87723852,88139147,88329482,88537953,88552667,88768725,89052807,89060027,89070108,89179209,89181232,89820647,89845140,90082888,90169120,90191124,90332747,90804426,90863772,91011960,91301594,91511752,91573355,91598183,91760028,92123289,92280668,92344750,92889818,92967472,92967765,93083508,93143349,93186890,93223737,93384494,93590723,93879563,94152885,94192355,94686640,95004299,95237435,95383127,95558243,95759435,95788428,95834816,96069578,96318657,96895463,96903746,97079424,97166118,97302205,97671207,97706344,97819394,97882979,98298602,98405783,98560692,98565870,98578106,98635799,98718604,98744540,98916252,99088707,99092810,99160187,99165616,99265043,99369105,99532625,...,39457028602624186794723126630634696876114478366526454319464873209943298807183347125446389926492819394158744874394406607975498852746323591151540348990530327849921985966856469892905408694808225261156728261122664972026099003033978962432255250724607157854903075712239318745093011366795684110588757892694554863564991436946759607181421031169475660744404744087482157557353950017379613096110032830784071550338888637167541964389462721854313699820056507602242471761136104698942343692998196049198741647536201509104590621149638402046263220435800220316216790658618112984222323951260616135256255251183363545888889606756823257556108428154344107659448015027573344928036298859896927239646065155927721288521280456357383972519832047379482969185131354817661904822667690482021640997292895766636446446389573055419520833491523005473166708545372652194098589053888718248637262203572273371269737486555850762292855000973313884622610359970851056276686355559880323155065861679264392687136340115036013427343193475486204174959533188107777246760869727095889417633009391738807593250075301060992421420544384134564637439653885534522317321046756480562183575594139760221455220530586777133481133746678482514053460790250508363882522395039679201412119323082321517341062170054382400160572394442391195292467782452005407138818691611144454448139144250245571409167167576201433598794083642797433847483965424680275011859893099928301943315480986029145003439747821126311536011078162247390913046783580569346938937506552200102693546220893538922676922665218811746452308760628875821708446620834130523293153764269933065346319616327985615570535138143852483919944304736641079178874235418396315383246656158803331382344648390351366926988660909905425076088299755127245883384688390167064612835128375765264377390729035591699078697110336846290609494215319331572479030304450949769700392000720268829326788747828670806344509819923861189381391849225567481992298088062154889674048667748501655242215909635565779799820639782332299395162727279861034301322220619149338683345475967639196430831017872553273965092925711819294028026013965664177373032170806037239571815852151328371150636184792768542118148240549658075610150914471873246778756532020140330458805476940918455680146806359460388971728045600727008640773807434347923480805837284854264371983898892753271202110274652988634938004189936925667546359475292212313386932751889506135026399744913358881495566450535596423408992370878025513061965387873267494806433502998938049885053247525496966897955001998675405555756932388613438476721794393121426990425055679418176741097818791203018806211330704104490031536983800525375417686127710356747042935885612110019108165699736771808644366647951093091125135583030549158355174634378484116545052413436542678173484874721880091315967448736847680332332390539511110060075402205287823994833283168826139265042732035474218868284671580664032907818163731671889247181979487936008202144816479941376106445019897060660707774852404990819117866920870333776823714706819654822582621833783630933662062849171282181469569663827202309289948932145469395943845964219787531029001597272489747457046224894514801388}
19478  38949238095764540950619334191182601881400899460934708326491281492407736: {136297,194710,233652,272566,389380,467256,506038,525663,602857,719317,739366,856372,1127926,1184437,1323076,1671238,1826326,1879957,2043615,2058838,2179856,2291206,2432875,2452338,2832838,2919450,3114080,3187012,3450886,3503340,3652276,3736896,3759526,3794115,3990838,4047056,4065337,4117252,4204008,4408021,4494567,4552938,4636117,4729509,4821368,5205097,5350675,5424039,5510452,6066166,6420810,6437812,6449206,6450517,6673751,6683576,6709215,6848864,7156496,7519023,7575157,7704972,7799221,7826692,8051058,8456835,8739046,9020624,9195286,9470521,9533930,9878566,10106038,10148202,10333366,10785315,10909767,11241238,11440716,11504336,11673721,11948835,11996038,12530415,12745424,12899686,12932255,12942378,12981817,13356292,13365776,13619900,13693215,14338602,14606096,14709817,14755719,14849686,15036498,15148726,15436515,15518706,16199351,16343880,16431858,16432715,16465616,16714486,16726647,16855347,17372917,17433472,17606038,17754406,18386865,18425557,18474650,18523818,18844597,19086838,19158121,19168527,19366777,19457000,19466447,19500015,19612656,19719258,19879959,19912675,20209972,20800016,21075766,21296038,21437497,21498296,21809446,21889125,21910007,21978723,22064238,22169580,22480132,22768021,22819675,22906966,22978335,23141930,23272006,23276521,23348400,23400018,23580757,23647552,23720367,23838772,23895210,24009635,24136815,24185583,24291076,24510224,24904960,24991957,25160555,25178936,25308838,25476663,25488224,25671238,25745936,25792021,25873635,26266950,26279319,26603496,26785621,26972566,26998852,27261046,27383610,27477238,27558399,27574002,27598544,27770316,27772021,27809210,28018080,28066537,28187715,28326303,28340566,28442183,28555957,28674252,28735491,28811562,28964178,29043577,29209184,29231615,29518727,29774326,29885952,29928933,30066896,30075227,30115767,30192666,30593092,30682616,30714087,30833823,30880117,30995635,31048362,31054179,31272886,31300010,31520340,31984006,32112831,32835238,32860332,32943218,33059900,33068521,33371052,33621696,33722932,33825258,34340216,34517943,34742086,34754617,35059972,35077938,35126137,35221151,35304838,35404021,35943650,36140819,36219351,36325621,36357238,36647427,37057717,37077368,37194762,37422037,37560012,37615366,37694521,37824408,37991515,38103238,38327797,38598121,38632743,38659846,38865423,39020807,39047221,39058239,39146038,39149435,39315817,39671880,39672937,39729315,40117717,40323526,40560697,40600947,40631690,40738006,40920047,41220838,41528917,41541519,41712039,41759450,41966137,42147076,42169610,42316672,42377936,42552459,42587572,42596038,42964610,43118275,43132380,43180777,43266997,43418086,43757535,43794355,44551657,44630865,44646303,44646838,44714300,44717351,45567721,45589818,45736057,45870406,45988021,46007872,46377023,46480246,46674704,46712315,46712919,46979322,47061740,47493766,47606256,47675178,47887555,48167446,48308437,48758028,48989091,49107191,49447477,49550956,50111340,50252437,50315930,50332537,50579446,50603532,50685368,50891221,50896538,50902276,51273131,51384415,51511846,51557532,51578326,51711238,51741930,51758856,52369635,52468021,52509042,52553226,52639492,53084559,53452096,53499286,53557038,53565286,53605055,53657160,53693679,53895046,54082039,54270515,54551017,54803567,55191392,55228586,55336127,55668532,55668838,55744010,55860944,56054778,56126806,56432917,56474088,56655721,56803897,56951715,56962372,57021039,57200735,57234304,57465066,57626038,57823492,57995567,58228713,58269817,58404886,58457210,58616463,58848121,59433311,59439766,60133608,60213238,60242300,60364305,60379116,60449151,60485077,60748496,60954735,60975721,61161386,61532137,61661298,61777507,61945126,62090316,62221177,62399363,62494777,62729823,62843562,62962735,63376021,63533349,63711721,63819076,63881930,64163768,64178677,64289687,64326066,64377721,64388592,64769035,64839637,65018384,65124618,65390507,65521732,65688121,65752006,65882197,65946676,66066646,66129526,66252890,66259047,66842857,66892812,67008166,67233315,67243683,67650309,67688607,67912021,68169343,68250755,68342058,68346217,68640882,68943135,68960377,69021397,69253126,69361607,69501286,69687238,69873046,70148652,70153130,70200327,70409336,70602052,70738246,70787080,71651447,71715536,71865652,71879900,71963275,72184239,72290760,72359535,72380521,72398284,72437166,72444827,72459238,72507351,72581686,72586623,72642886,72709340,72945721,72948646,73113877,73145682,73247330,73539344,73983639,74066115,74218357,74289238,74489977,74803972,74914511,74974357,75520523,75555282,75721855,75740216,75771615,76058932,76081897,76444021,76578650,76658316,76700521,77110144,77127286,77152559,77183504,77358997,77722842,78025606,78033578,78077991,78085366,78103657,78144772,78204838,78290810,78445621,78622486,78801238,78822527,78897980,78928021,79003856,79051610,79210503,79261417,79277206,79503468,79634300,79635465,79731577,79963957,80072783,80166886,80581675,80679978,80823056,81052852,81143317,81288646,81327105,81346538,81364537,81452521,81465238,81582371,81616719,81900906,81935446,81974377,82401337,82528021,82638838,82731762,82850810,83028277,83339926,83510300,83555527,83558521,83576559,83855464,84155221,84183756,84811897,84904730,84944496,85182772,85207743,85225717,85484521,85493051,86006086,86098357,86102159,86255880,86293846,86318275,86355930,86449717,86748912,86769914,86826676,86831442,87130837,87164137,87251208,87296617,87410515,87493177,87555238,87654997,87719221,87876026,87896796,88245615,88284277,88465135,88588117,88695238,88875076,88879338,89001397,89092726,89231221,89283892,89866297,89942115,89999317,90234217,90280486,90438121,90686521,90866226,90925938,90927721,90956038,91045621,91170911,91259900,91405126,91564777,91651177,91653663,91842410,91862137,91894380,91991315,91994812,92006272,92112992,92358037,92376937,92414521,92451817,92484536,92543797,92744498,92746246,92826037,92860021,93105721,93137257,93356212,93364597,93408121,93415010,93468838,93642517,93655657,93745621,93783097,93912166,93948972,94005397,94038121,94128656,94303477,94337397,94372021,94451221,94509397,94575238,94671721,94677576,94686517,94758121,94796137,94804125,94811257,94830835,94833721,94840021,94842037,94846357,94848121,94861932,94947519,94960966,95025135,95192123,95444851,95561160,95562558,95578239,95938256,96222838,96386806,96698010,96910247,97037865,97592526,97612023,97693366,98020672,98157609,98829046,99088010,99420972,99474838,99513471,99521435,...,59185542903936280192084689945952045314171717549789681479197309814914948210775020688169584889739229091238117311591609911963248279119485386727310523485795491774882978950284704839358113042212337891735092391683997458039148504550968443648382876086910736782354613568358978117639517050193526165883136839041832295347487155420139410772131546754213491116607116131223236336030925026069419644165049246176107325508332955751312946584194082781470549730084761403363707641704157048413515539497294073798112471304302263656885931724457603069394830653700330474325185987927169476333485926890924202884382876775045318833334410135234886334162642231516161489172022541360017392054448289845390859469097733891581932781920684536075958779748071069224453777697032226492857234001535723032461495939343649954669669584359583129281250237284508209750062818058978291147883580833077372955893305358410056904606229833776143439282501459970826933915539956276584415029533339820484732598792518896589030704510172554020141014790213229306262439299782161665870141304590643834126449514087608211389875112951591488632130816576201846956159480828301783475981570134720843275363391209640332182830795880165700221700620017723771080191185375762545823783592559518802118178984623482276011593255081573600240858591663586792938701673678008110708228037416716681672208716375368357113750751364302150398191125464196150771225948137020412517789839649892452914973221479043717505159621731689467304016617243371086369570175370854020408406259828300154040319331340308384015383997828217619678463140943313732562669931251195784939730646404899598019479424491978423355802707215778725879916457104961618768311353127594473074869984238204997073516972585527050390482991364858137614132449632690868825077032585250596919252692563647896566086093553387548618045665505269435914241322978997358718545456676424654550588001080403243990183121743006209516764729885791784072087773838351222988447132093232334511073001622752482863323864453348669699730959673498449092744090919791551451983330928724008025018213951458794646246526808829910947639388567728941042039020948496266059548256209055859357723778226992556725954277189152813177222360824487113415226371707809870168134798030210495688208215411377683520220209539190583457592068401090512961160711151521885221208755927281396557975848339129906803165411979482952407006284905388501319539212938318470080399127834259202539599617370038322243349675803394635113488556317038269592948081809901242209650254498407074827579871288245450346932502998013108333635398582920157715082691589682140485637583519127265111646728186804528209316996056156735047305475700788063126529191565535120564403828418165028662248549605157712966549971926639636687703374545823737532761951567726174817578620154814017260227312082820136973951173105271520498498585809266665090113103307931735992249924753239208897564098053211328302427007370996049361727245597507833870772969231904012303217224719912064159667529845590991061662278607486228676800381305500665235572060229482233873932750675446400493094273756923272204354495740803463934923398218204093915768946329681296543502395908734621185569337341772202082}
19479  39102337186448120473848849763978159143895766695746349623286696047593503: {38954,292065,311536,350478,408849,486725,584070,623008,700884,759057,1070465,1109049,1284558,1653845,1691889,1907374,1984614,2354297,2506857,2724820,2739489,3088257,3269784,3436809,3541174,3678507,3892600,3983765,4218697,4249257,4379175,4565345,4671120,4780518,4803409,4982528,5058820,5146565,5176329,5255010,5478414,5605344,5639289,5848129,5986257,5992756,6026710,6070584,6175878,6261934,6306012,6829407,6888065,7018201,7232052,7893046,8047265,8128846,8265678,8354470,8561080,8595574,8761577,8945620,9099249,9345349,9580469,9631215,9656718,9673809,9783365,10025364,10040657,10066294,10273296,10280057,10734744,10857457,11152246,11275780,11443681,11557458,11625718,11695054,11740038,12076587,12558886,12780334,12957809,13108569,13530936,13536437,13654369,13792929,14300895,14380420,14407414,14546356,14817849,15159057,15222303,15254288,15500049,15662998,15815206,15863689,15931780,16333061,16695365,16707220,16861857,17024875,17161074,17256504,17994057,18200014,18257620,18374158,18659737,18688774,18811009,18972041,19118136,19349529,19413567,19461209,19674292,19910449,20034438,20048664,20429850,20478166,20582020,20691608,20704918,21410758,21446446,21507903,21712678,21791840,21909144,22031569,22274529,22302196,22473796,22527694,22554747,22723089,22885006,23278059,23404937,23652257,23727574,24148726,24321250,24434134,24515820,24647787,24698424,25071729,25262465,25558036,26000020,26150208,26292344,26308534,26409057,26446289,26506612,26631609,26847289,26872870,26889769,27305926,27343769,27697198,27711975,27785727,28100165,28387654,28630257,29090881,29185500,29304964,29311349,29418984,29559440,29578887,29798465,30047689,30251686,30314958,30363845,30637780,30773158,31131200,31200024,31473670,31613649,31627156,31663841,31860280,31944057,32182420,32247444,32442697,32714169,33047734,33096357,33178001,33254370,33694606,33720198,33748565,33968884,34360449,34498180,34712895,34908009,34911766,35022600,35039092,35100027,35455937,35471328,35758158,35842815,36436614,36511480,36660817,36744532,36765336,36804118,36983057,37027088,37080694,37357440,37366457,37583620,37768404,37963257,37980041,38232336,38241365,38313988,38353270,38415416,38506857,38618904,39400425,39409669,39847936,39901361,39905244,40154356,40254337,40256888,40458849,40498278,40840366,40891569,40952116,41075415,41111764,41215857,41324875,41361003,41397816,41405572,41655474,41713815,41824198,42027120,42153665,42510849,42817108,42925270,43011378,43217343,43446267,43742917,43813776,43824965,44349697,44494736,44661489,44828928,45100344,45288999,45889638,46023924,46346710,46572543,46650529,46770584,46877801,46909329,46950015,47280510,47976009,48118534,48273089,48292468,48355957,48863236,48878326,49252857,49290498,49369486,49414827,49589850,49593016,49843729,50056578,50080016,50432544,50584398,50737887,51510324,51728398,51820564,52057366,52077652,52113129,52306126,52589958,52616907,52683845,52895840,52957257,52972420,53125414,53154934,53234465,53721329,53915475,54134596,54309497,54418757,54535857,55388692,55397521,55616052,55792143,55892875,56143297,56340018,56423049,56728949,56736612,56891086,57154857,57268549,57509840,57989769,58175758,58343380,58719057,58827175,59507820,59528404,59750734,60485289,60786424,60874169,60947535,61107009,61608169,61831257,61938695,62283892,62639096,62639175,62751094,63220614,63254415,63356710,63475008,63566904,63627845,63881358,63894057,64346926,64446915,64698570,65010704,65081398,65127129,65318788,65536097,65799365,65848198,66272689,66693286,66815120,66970257,67071450,67471376,67535566,68384727,68591206,68743376,68805609,68989240,69011808,69128374,69585665,69720369,69826180,70012056,70070968,70468983,70574257,70592610,70652089,70720174,70779412,70917646,71202965,71240649,71409384,71512767,71542880,71591572,71707918,72251169,72279365,72984857,73137042,73373531,73392881,74089049,74326434,74739704,75167010,75298784,75302875,75314566,75473895,75869169,75905298,75935620,76028052,76035814,76344807,76353414,76620088,77169241,77267769,77336298,77367489,77566857,77612895,77638284,77969989,78155284,78362254,78763563,78829839,78959238,79773845,80178144,80204710,80248929,80335557,80347929,80485740,80500366,80505488,80598868,80842569,80923969,81272980,81507169,81639041,81797638,81833158,81902165,81973337,82215064,82362574,82433345,82787088,82842879,83202481,83399621,83479894,83502798,83503257,83616015,83639764,83674081,83791416,83945974,84082167,84190209,84350926,84617446,84711132,85443558,85625857,85768088,85851456,86197599,86439057,86735238,86832824,87262529,87476806,87607329,87682198,87685815,88003801,88011670,88252565,88338598,88345396,88483850,88690126,89159649,89190416,89644420,89658244,89832065,89849875,90200412,90251476,90254417,90319857,90363450,90497855,90568674,90886675,91122744,91521176,91627637,91742079,91924180,92491947,92917689,93135474,93425206,93504965,93531536,93600436,94041649,94265343,94675270,95073665,95709718,95728614,95822895,96051334,96245652,96387680,96479380,96489099,96582888,96676468,96782164,96916006,97527576,97608137,97680965,97686927,98282598,98415109,98622475,98628009,98644852,98685574,98754820,98920014,99099969,99132406,99194289,99379335,99542875,...,88778314355904420288127034918928067971257576324684522218795964722372422316162531032254377334608843636857175967387414867944872418679228080090965785228693237662324468425427057259037169563318506837602638587525996187058722756826452665472574314130366105173531920352538467176459275575290289248824705258562748443021230733130209116158197320131320236674910674196834854504046387539104129466247573869264160988262499433626969419876291124172205824595127142105045561462556235572620273309245941110697168706956453395485328897586686404604092245980550495711487778981890754214500228890336386304326574315162567978250001615202852329501243963347274242233758033812040026088081672434768086289203646600837372899172881026804113938169622106603836680666545548339739285851002303584548692243909015474932004504376539374693921875355926762314625094227088467436721825371249616059433839958037615085356909344750664215158923752189956240400873309934414876622544300009730727098898188778344883546056765258831030211522185319843959393658949673242498805211956885965751189674271131412317084812669427387232948196224864302770434239221242452675213972355202081264913045086814460498274246193820248550332550930026585656620286778063643818735675388839278203177268476935223414017389882622360400361287887495380189408052510517012166062342056125075022508313074563052535670626127046453225597286688196294226156838922205530618776684759474838679372459832218565576257739432597534200956024925865056629554355263056281030612609389742450231060478997010462576023075996742326429517694711414970598844004896876793677409595969607349397029219136737967635033704060823668088819874685657442428152467029691391709612304976357307495610275458878290575585724487047287206421198674449036303237615548877875895378879038845471844849129140330081322927068498257904153871361984468496038077818185014636981825882001620604865985274682614509314275147094828687676108131660757526834482670698139848501766609502434128724294985796680023004549596439510247673639116136379687327177974996393086012037527320927188191969369790213244866421459082851593411563058531422744399089322384313583789036585667340488835088931415783729219765833541236730670122839557561714805252202197045315743532312323117066525280330314308785875186388102601635769441741066727282827831813133890922094836963772508694860204748117969224428610509427358082751979308819407477705120598691751388803809399426055057483365024513705091952670232834475557404389422122714851863314475381747610612241369806932368175520398754497019662500453097874380236572624037384523210728456375278690897667470092280206792313975494084235102570958213551182094689793787348302680846605742627247542993372824407736569449824957889959455031555061818735606299142927351589262226367930232221025890340968124230205460926759657907280747747878713899997635169654961897603988374887129858813346346147079816992453640511056494074042590868396261750806159453847856018454825837079868096239501294768386486592493417911229343015200571958250997853358090344223350810899126013169600739641410635384908306531743611205195902385097327306140873653419494521944815253593863101931778354006012658303123}
19480  39256033785196962276462432688962503800995862269076756007105861751363547: {58431,214159,272594,330871,389420,447511,467304,525717,545132,778760,876105,913351,934512,1012076,1029631,1051326,1145839,1205714,1438634,1478732,1712744,1725799,1926837,1957279,2072911,2255852,2368874,2646152,2861061,2976921,3342476,3406025,3454879,3652652,3684199,3759914,4087230,4117676,4359712,4582412,4865750,4904676,5167759,5311761,5665676,5838900,6074671,6228160,6323525,6374024,6864439,6901772,7006680,7170777,7304552,7473792,7490945,7519052,7588230,7650679,7882515,7981676,8094112,8130674,8217621,8234504,8408016,8433391,8544919,8816042,8879071,8989134,9040065,9101479,9105876,9263817,9272234,9392901,9459018,9642736,9877639,10410194,10650271,10701350,10760359,10848078,11020904,11182025,11839569,12075799,12132332,12193269,12398517,12531705,12729631,12838351,12841620,12875624,12893361,12898412,12901034,13347502,13367152,13418430,13697728,14094725,14245159,14312992,14485077,15038046,15099441,15104839,15150314,15409944,15598442,15653384,16066471,16102116,16491991,16728369,16913670,17336187,17438577,17445199,17478092,17542581,17610057,17975525,18041248,18077431,18105157,18182945,18390572,18811759,18838329,18941042,19067860,19170501,19757132,19914725,20212076,20296404,20373439,20666732,20884025,21096679,21570630,21611121,21816391,21819534,22328311,22430479,22482476,22822025,22881432,23005801,23008672,23347442,23448199,23494497,23722809,23897670,23992076,24592865,24659959,25060830,25490848,25727525,25741611,25799372,25861351,25864510,25883957,25884756,25960999,25963634,26712584,26731552,26854591,26953519,27239800,27300021,27348511,27386430,27561237,27877745,27938839,28033161,28092245,28135039,28677204,29212192,29419634,29511438,29699372,30051657,30072996,30177751,30297452,30644775,30717249,30755551,30873030,31037412,31057377,31947545,31998559,32116137,32169669,32188711,32398702,32500025,32569017,32687760,32863716,32865430,32931232,32946439,33133265,33417679,33428972,33453294,33511711,33613489,33710694,33791541,34327509,34745834,34866944,34913551,35006431,35212076,35224777,35508812,35591361,35931271,36223089,36299191,36481875,36631205,36651201,36773730,36851114,36940279,36949300,37047636,37305031,37689194,38173676,38297225,38316242,38337054,38733554,38914000,38932894,39000030,39111511,39225312,39438516,39462801,39469351,39533945,39759918,39825350,39990137,40228025,40309305,40358911,40419944,40712719,40924261,40958889,41545797,41600032,41679751,41854639,42151532,42461105,42581481,42592076,42711877,42874994,42996592,43070791,43122725,43157119,43393889,43587679,43618892,43759399,43778250,43798865,43820014,43957446,44016439,44128476,44339160,44698711,44960264,45207391,45377529,45472437,45536042,45639350,45813932,45930665,45956670,46159737,46283860,46384231,46544012,46551199,46553042,46696800,46800036,46967359,46979525,47161514,47210505,47295104,47440734,47546959,47677544,47790420,47892485,48019270,48273630,48371166,48450631,48582152,49020448,49426519,49571601,49809920,49881555,49983914,50192945,50321110,50357872,50541909,50580297,50617676,50953326,50976448,51029959,51190145,51342476,51389705,51491872,51584042,51747270,51756965,52367649,52533900,52558638,52760479,52838311,53188121,53206992,53521385,53571242,53637237,53945132,53997704,54522092,54532399,54654921,54760711,54767220,54809209,54836671,54954476,55116798,55148004,55197088,55206177,55540632,55544042,55618420,55621041,56036160,56133074,56375430,56638111,56652606,56681132,56884366,57081991,57111914,57348504,57470982,57529905,57623124,57928356,58034839,58087154,58107631,58418368,58463230,58615159,59037454,59548351,59548652,59771904,59857866,59974951,60133792,60150454,60187279,60231534,60365585,60385332,60747417,60890359,61079045,61099879,61186184,61260549,61312097,61365232,61428174,61667646,61760234,61991270,62000311,62069071,62096724,62108358,62137759,62483211,62545772,62600020,62736297,62820679,63040680,63915137,63968012,64225662,64297759,64364071,64387905,64517067,64760431,64775705,65097065,65397241,65670476,65720664,65804719,65886436,66062911,66119800,66137042,66215525,66319951,66742104,67020871,67042577,67243392,67445864,67650511,67650516,67668245,68176361,68272951,68680432,68826991,68834457,68949319,69035886,69045449,69235865,69484172,69509234,69520065,69677239,69797551,70119944,70155876,70252274,70442302,70609676,70808042,70920765,71335399,71625559,71741119,71798791,71856391,71887300,71938181,72177801,72281638,72438702,72651242,72714476,72870677,72929225,73009781,73294854,73317489,73827031,73935747,74054229,74115434,74154736,74384775,74389524,74410505,74536519,74590591,74844074,74913511,75047077,75084867,75120024,75180631,75230732,75389042,75648816,75876597,75971191,75978721,75983030,76023319,76206476,76643239,76655594,76745551,77196242,77265486,77319692,77503711,77592597,77730846,77854865,78041614,78049399,78086049,78094442,78116478,78147679,78292076,78298870,78459189,78631634,78683071,78884937,79209751,79343760,79345874,79351879,79458630,79688121,79732401,79820959,79867471,80081029,80145031,80235434,80328631,80563769,80647052,80737519,80962159,81096079,81121394,81201894,81263380,81476012,81648485,81712471,81840094,81929191,82441676,82484239,82778071,83057834,83083038,83150671,83232679,83395831,83424078,83436439,83518900,83564129,83932274,84194311,84294152,84339220,84505639,84510027,84633344,84755872,84774271,84812359,84888319,85104918,85175144,85192076,85336629,85375039,85558999,85849591,85929220,86170999,86236550,86264760,86361554,86382031,86416951,86533994,86624959,86836172,86864359,86947817,87233431,87263637,87266551,87282725,87365479,87515070,87588710,87593791,87786679,87913831,88147829,88164679,88471759,88474265,88562479,88682431,88830751,89064319,89103314,89261730,89292606,89293676,89428600,89434702,89489465,89626101,89845519,90031999,90058351,90189031,90214951,90495319,90595111,90669199,90676649,90718231,91135442,91179636,91180297,91192711,91419151,91472114,91485679,91740812,91871239,91976042,92015744,92075359,92115319,92135191,92213959,92554159,92608591,92754046,92960492,92971471,93036991,93133111,93332479,93349408,93385589,93424630,93425838,93434791,93561151,93628831,93746119,93783919,93869599,93881551,93958644,94073719,94105471,94123480,94126641,94245079,94503991,94585639,94598239,94604431,94634311,94683559,94708399,94735831,94760671,94764559,94796311,94827199,94830921,94831879,94853911,94855279,94863631,94864999,94919525,94987532,95035065,95212512,95350356,95454677,95551057,95775110,95822037,96327737,96334892,96520389,96616874,97047855,97516056,97622097,97694105,97978182,98214382,98747441,98772297,98894954,99101912,...,118371085807872560384169379891904090628343435099579362958394619629829896421550041376339169779478458182476234623183219823926496558238970773454621046971590983549765957900569409678716226084424675783470184783367994916078297009101936887296765752173821473564709227136717956235279034100387052331766273678083664590694974310840278821544263093508426982233214232262446472672061850052138839288330098492352214651016665911502625893168388165562941099460169522806727415283408314096827031078994588147596224942608604527313771863448915206138789661307400660948650371975854338952666971853781848405768765753550090637666668820270469772668325284463032322978344045082720034784108896579690781718938195467783163865563841369072151917559496142138448907555394064452985714468003071446064922991878687299909339339168719166258562500474569016419500125636117956582295767161666154745911786610716820113809212459667552286878565002919941653867831079912553168830059066679640969465197585037793178061409020345108040282029580426458612524878599564323331740282609181287668252899028175216422779750225903182977264261633152403693912318961656603566951963140269441686550726782419280664365661591760331400443401240035447542160382370751525091647567185119037604236357969246964552023186510163147200481717183327173585877403347356016221416456074833433363344417432750736714227501502728604300796382250928392301542451896274040825035579679299784905829946442958087435010319243463378934608033234486742172739140350741708040816812519656600308080638662680616768030767995656435239356926281886627465125339862502391569879461292809799196038958848983956846711605414431557451759832914209923237536622706255188946149739968476409994147033945171054100780965982729716275228264899265381737650154065170501193838505385127295793132172187106775097236091331010538871828482645957994717437090913352849309101176002160806487980366243486012419033529459771583568144175547676702445976894264186464669022146003245504965726647728906697339399461919346996898185488181839583102903966661857448016050036427902917589292493053617659821895278777135457882084078041896992532119096512418111718715447556453985113451908554378305626354444721648974226830452743415619740336269596060420991376416430822755367040440419078381166915184136802181025922321422303043770442417511854562793115951696678259813606330823958965904814012569810777002639078425876636940160798255668518405079199234740076644486699351606789270226977112634076539185896163619802484419300508996814149655159742576490900693865005996026216667270797165840315430165383179364280971275167038254530223293456373609056418633992112313470094610951401576126253058383131070241128807656836330057324497099210315425933099943853279273375406749091647475065523903135452349635157240309628034520454624165640273947902346210543040996997171618533330180226206615863471984499849506478417795128196106422656604854014741992098723454491195015667741545938463808024606434449439824128319335059691181982123324557214972457353600762611001330471144120458964467747865501350892800986188547513846544408708991481606927869846796436408187831537892659362593087004791817469242371138674683544404164}
19481  39410330207322321999971819627492673611626746479118499396324566503826786: {77908,408891,486775,584130,623072,681415,700956,817698,973450,1168140,1246016,1265095,1401768,1498651,1518114,1576989,1808571,1848415,2140930,2157951,2218098,2315383,2569116,2782351,2819815,3307690,3383778,3553311,3814748,3969228,4178095,4565815,4708594,4920091,5013714,5147095,5449640,5478978,5577271,5620183,5639871,5728015,6130845,6176514,6201679,6391483,6539568,6873618,7082095,7082348,7205191,7298625,7357014,7601431,7785200,7909231,7967530,8437394,8498514,8627215,8758350,8762479,9130690,9188971,9342240,9398815,9561036,9606818,9643291,9965056,9977095,10041691,10117640,10241191,10293130,10352658,10354591,10510020,10707583,10956828,11210688,11266171,11278578,11320111,11382345,11696258,11866231,11972514,11985512,12053420,12141168,12196011,12219583,12351756,12523868,12612024,12959143,13224063,13483701,13537831,13658814,13696711,13776130,13851451,13908351,14036402,14188527,14196751,14300011,14464104,15128959,15165415,15514183,15615291,15786092,16052025,16094530,16123015,16257692,16272117,16334743,16527271,16531356,16708940,16850779,17122160,17191148,17459479,17523154,17700331,17891240,18198498,18310231,18690698,18973999,19160938,19262430,19313436,19347618,19351551,19566730,20021253,20050728,20081314,20120911,20127645,20132588,20546592,20560114,20670991,21469488,21714914,21750763,21847615,22304492,22421503,22551560,22557069,22725471,22887362,22988215,23114916,23251436,23373511,23390108,23397663,23480076,23834825,24064231,24153174,24696415,25117772,25265095,25370505,25560668,25833415,25915618,26158459,26217138,27061872,27072874,27308738,27346591,27585858,28103095,28270171,28411563,28601790,28760840,28814828,29092712,29134831,29434351,29635698,29881531,29990095,30318114,30444606,30508576,30560683,31000098,31325996,31630412,31658971,31727378,31863560,32088859,32249215,32355945,32666122,32729301,32759743,33390730,33414440,33723714,34049750,34302679,34322148,34513008,35021163,35211643,35367451,35466139,35846505,35988114,36400028,36515240,36748316,37124215,37319474,37377548,37420903,37591245,37622018,37871815,37944082,38025751,38236272,38404399,38699058,38796765,38827134,38922418,38945451,39189211,39340231,39348584,39820898,39905479,40068876,40097328,40859700,40956332,41025343,41079645,41164040,41383216,41409836,41717851,41764591,41786215,41902471,42127951,42509383,42653179,42821516,42825883,42892892,43015806,43054591,43425356,43583680,43818288,44015095,44063138,44129451,44267157,44383543,44386015,44549058,44604392,44700139,44885503,44947592,45055388,45109494,45446178,45770012,46186625,46309545,46556118,46809874,46882639,47247991,47304514,47455148,47717095,48278071,48297452,48466879,48598053,48642500,48868268,49031640,49164523,49295574,49298145,49304431,49396848,50143458,50179941,50524930,50558299,50566041,50892871,51116072,52000040,52118751,52300416,52584688,52617068,52689415,52818114,52892578,53013224,53063659,53217631,53240095,53263218,53483071,53537911,53694578,53745740,53779538,54315151,54523615,54611852,54687538,55160595,55276671,55394396,55423950,55542391,55565851,55571454,56200330,56533791,56775308,57260514,57267415,57474363,57505581,57854825,58100331,58180015,58181762,58371000,58399341,58500045,58609928,58622698,58837968,59015131,59118880,59157774,59596930,59639877,59738025,60095378,60503372,60629916,60727690,61275560,61354951,61546316,61762843,62262400,62400048,62579431,62947340,63227298,63254312,63272095,63327682,63402943,63720560,63888114,64178095,64183951,64312491,64364840,64494888,64525183,64713451,64885394,65428338,65667375,65730021,65936169,65957551,66095468,66171943,66192714,66356002,66508740,67389212,67431415,67440396,67497130,67937768,68152615,68304063,68459025,68693095,68720898,68935005,68996360,69425790,69523025,69685099,69695911,69816018,69823532,69829563,70045200,70078184,70200054,70742271,70851415,70911874,70942656,71161101,71516316,71685630,72028905,72410445,72556749,72873228,73022960,73321634,73405519,73489064,73530672,73608236,73757383,73966114,74054176,74161388,74235583,74435815,74528251,74714880,74732914,74975871,75167240,75481665,75536808,75926514,75960082,76173991,76429989,76464672,76482730,76627976,76706540,76830832,77013714,77237808,77376063,77451751,77620905,78182215,78250025,78454459,78800850,78819338,78837957,79695872,79802722,79810488,79960015,80308712,80356863,80413531,80508674,80513776,80917698,80996556,81647599,81680732,81783138,81904232,81981871,82088095,82150830,82223528,82358045,82431714,82649750,82675197,82722006,82795632,82811144,83291791,83310948,83316063,83427630,83648396,83915383,84054240,84113359,84199611,84307330,84519079,84563145,84639931,84813871,84978909,85021698,85326549,85634216,85667871,85850540,86022756,86206473,86254831,86434686,86714173,86855215,86892534,87130731,87485834,87627552,87649930,87694845,87806059,88148443,88262095,88556181,88699394,88989472,89078983,89151319,89322978,89657856,89786799,89859125,90200688,90225681,90347301,90577998,90673231,90893095,91179103,91617259,91637191,91773751,91779276,91900699,92047848,92119111,92142261,92279791,92501469,92640351,92693420,92986905,93145086,93162537,93301058,93541168,93755602,93818658,93900030,94038415,94561020,95258095,95578351,95952018,96237068,96338493,96394639,96482503,96546178,96584936,96649615,96711914,97419931,97726472,97756652,97865095,98505714,98580996,98738972,98829654,99179700,99186032,99205563,99684151,99687458,99980383,...,177556628711808840576254069837856135942515152649369044437591929444744844632325062064508754669217687273714351934774829735889744837358456160181931570457386475324648936850854114518074339126637013675205277175051992374117445513652905330945148628260732210347063840705076934352918551150580578497649410517125496886042461466260418232316394640262640473349821348393669709008092775078208258932495147738528321976524998867253938839752582248344411649190254284210091122925112471145240546618491882221394337413912906790970657795173372809208184491961100991422975557963781508429000457780672772608653148630325135956500003230405704659002487926694548484467516067624080052176163344869536172578407293201674745798345762053608227876339244213207673361333091096679478571702004607169097384487818030949864009008753078749387843750711853524629250188454176934873443650742499232118867679916075230170713818689501328430317847504379912480801746619868829753245088600019461454197796377556689767092113530517662060423044370639687918787317899346484997610423913771931502379348542262824634169625338854774465896392449728605540868478442484905350427944710404162529826090173628920996548492387640497100665101860053171313240573556127287637471350777678556406354536953870446828034779765244720800722575774990760378816105021034024332124684112250150045016626149126105071341252254092906451194573376392588452313677844411061237553369518949677358744919664437131152515478865195068401912049851730113259108710526112562061225218779484900462120957994020925152046151993484652859035389422829941197688009793753587354819191939214698794058438273475935270067408121647336177639749371314884856304934059382783419224609952714614991220550917756581151171448974094574412842397348898072606475231097755751790757758077690943689698258280660162645854136996515808307742723968936992076155636370029273963651764003241209731970549365229018628550294189657375352216263321515053668965341396279697003533219004868257448589971593360046009099192879020495347278232272759374654355949992786172024075054641854376383938739580426489732842918165703186823126117062845488798178644768627167578073171334680977670177862831567458439531667082473461340245679115123429610504404394090631487064624646234133050560660628617571750372776205203271538883482133454565655663626267781844189673927545017389720409496235938448857221018854716165503958617638814955410241197383502777607618798852110114966730049027410183905340465668951114808778844245429703726628950763495221224482739613864736351040797508994039325000906195748760473145248074769046421456912750557381795334940184560413584627950988168470205141916427102364189379587574696605361693211485254495085986745648815473138899649915779918910063110123637471212598285854703178524452735860464442051780681936248460410921853519315814561495495757427799995270339309923795207976749774259717626692692294159633984907281022112988148085181736792523501612318907695712036909651674159736192479002589536772973184986835822458686030401143916501995706716180688446701621798252026339201479282821270769816613063487222410391804770194654612281747306838989043889630507187726203863556708012025316606246}
19482  39565228777043174318766465017648782945850084890698320101358751509026600: {97385,116862,214181,253097,369797,428318,545188,661742,778840,797081,876195,895022,934608,1029737,1051434,1090264,1145957,1184681,1226547,1460175,1532837,1557520,1752210,1826702,1869024,1957481,1996037,2024152,2059262,2102652,2111657,2277171,2291678,2411428,2877268,2880617,2957464,3148997,3211395,3327147,3340457,3425488,3451598,3493481,3722777,3853674,3914558,4145822,4294757,4485017,4511704,4737748,4768435,4826981,4961535,5054597,5075667,5168297,5206181,5292304,5722122,5953842,6684952,6812050,6909758,7062891,7305304,7368398,7519828,7520571,7651481,7800857,8174460,8210981,8218467,8235352,8719424,8852935,9164824,9264771,9546437,9657257,9731500,9809352,9915557,10310427,10335518,10487323,10623522,10651397,10761497,10798181,11035521,11331352,11566697,11677800,11951295,12113477,12149342,12456320,12647050,12656091,12747771,12748048,13137525,13310057,13696035,13728878,13743017,13803544,13851077,14013360,14066981,14341554,14390297,14410227,14609104,14947584,14981890,15038104,15066775,15142181,15176460,15301358,15320681,15439695,15528987,15654835,15765030,15963352,16188224,16261348,16435242,16469008,16816032,16866782,16917867,17089838,17235737,17447081,17544387,17632084,17758142,17958771,17978268,18080130,18202958,18211752,18527634,18544468,18785802,18848681,18918036,19022981,19162277,19285472,19336217,19683497,19732615,19755278,20272037,20322115,20488221,20664195,20720537,20820388,20886175,21054603,21133337,21300542,21402700,21442181,21488935,21520718,21613481,21696156,21818777,22041808,22160297,22364050,22432937,22466981,22773017,22942757,23349317,23484581,23653481,23679138,24141795,24151598,24264664,24386538,24662681,24797034,25063410,25165735,25456123,25459262,25676702,25683240,25697957,25751248,25786722,25796824,25802068,25864217,25963877,26284731,26695004,26734304,26836860,26857577,27154181,27297747,27351557,27395456,27679877,27843737,27880615,27941957,28036047,28138181,28189450,28268837,28490318,28625984,28627481,28741407,28893645,28920197,28970154,29021427,29064295,29237635,29350095,30076092,30116777,30121971,30198882,30209678,30213317,30300628,30566681,30590131,30759017,30819888,30840171,31078937,31196884,31306768,31397215,31843481,31950835,32132942,32192357,32204232,32572371,32981657,32983982,33421481,33456738,33609497,33827340,33890981,34331043,34430011,34545257,34672374,34855577,34877154,34890398,34948517,34956184,35085162,35134181,35220114,35566277,35935397,35951050,36018535,36082496,36154862,36210314,36211481,36229761,36333977,36365890,36486917,36781144,36974981,37127081,37430681,37623518,37676658,37882084,38135720,38341002,38667077,38786981,38873427,39028843,39116057,39157495,39325707,39329143,39414377,39514264,39538015,39829450,40424152,40592808,40609311,40746878,40746917,40835177,40963107,41333464,41378787,41597081,41768050,42193358,42498437,42902685,43018277,43141260,43190981,43222242,43592837,43632782,43639068,43793177,44453547,44656622,44694859,44726563,44732357,44860958,44902181,44964952,45477171,45500035,45578597,45644050,45666909,45762864,45887081,45935395,46011602,46017344,46054937,46386571,46500147,46556777,46584581,46694884,46721935,46896398,46988994,47166617,47261071,47414981,47445618,47591067,47795340,47800037,47984152,48210857,48810137,48945797,48999183,49185730,49319918,49459481,50086095,50104217,50121660,50264681,50585571,50981696,51036197,51062681,51074625,51195415,51283687,51455050,51483222,51598744,51616997,51722702,51729020,51762295,51767914,51769512,51853481,51921998,51927268,52220057,52480937,52766981,52792937,52870757,53387717,53425168,53463104,53526895,53616115,53709182,53907038,53952677,53982171,54281695,54310181,54479600,54564581,54600042,54697022,54772860,54843497,55122474,55297817,55347523,55755490,55824581,55877678,55979211,56066322,56074181,56184490,56270078,56319235,56433027,56669957,56916123,56941481,57089177,57212515,57354408,57457157,57896357,58048587,58066457,58240701,58284581,58383627,58424384,58502057,58791017,58839268,59022876,59318935,59398744,59445547,59627237,59731347,59840681,59982617,60103314,60145992,60218537,60336197,60355502,60371815,60547481,60594904,60803125,61037957,61085335,61130981,61289550,61318411,61434498,61511102,61746060,61801577,62074824,62114754,62168681,62964581,63054917,63437417,63661337,63895090,63997118,64232274,64302931,64306181,64339338,64377422,64394597,64523709,64637081,64797404,65000050,65097317,65138034,65162777,65375520,65727432,65730860,65771335,65862464,65892878,66094707,66264581,66266530,66456857,66584681,66823587,66835358,66857944,66902981,66906588,67023422,67049479,67182175,67226978,67421388,67555097,67583082,67664241,68169267,68264815,68364581,68488037,68655018,68856677,68978981,69242995,69491668,69505637,69706757,69733888,69766937,69827102,69834177,69986981,70012862,70066757,70214811,70270123,70305317,70424152,70449554,70463717,70601897,70956771,70969135,71017624,71072681,71182722,71345177,71635397,71666203,71750981,71770217,71862542,71945587,72343577,72438437,72446178,72459751,72598382,72608681,72878179,72890981,72963750,72965957,73171481,73262410,73302402,73468697,73547460,73702228,73880558,73898600,73943361,74075237,74095272,74166377,74546981,74565017,74610062,74816681,74929939,75215187,75244457,75368357,75378388,75456617,75536071,75629215,75787395,76034117,76310981,76347352,76465817,76594450,76632484,76654181,76674108,76756517,76932895,77061797,77168443,77467108,77481497,77581481,77828000,77865788,77929157,78000060,78077081,78158981,78175337,78223022,78419717,78450624,78500777,78565481,78684175,78877032,78925602,78938702,79067890,79227171,79284581,79338867,79363481,79457897,79519836,79650700,79739417,79894697,79894827,79980274,80456050,80541867,80572063,80618610,80669307,80717822,80839888,81425438,81599167,81637481,81848522,81917778,81941477,81998981,82031307,82156457,82619335,82790597,83039717,83091594,83122181,83135925,83200064,83204357,83357181,83359502,83462681,83543657,83584037,83651177,83709278,84049817,84207257,84236515,84259481,84300495,84303064,84511819,84570137,84787397,84838181,84922210,85162962,85184152,85351337,85388357,85400681,85423754,85474457,85510663,85584581,85645481,85749988,85754597,85890771,85993184,86006681,86113637,86119891,86141582,86196377,86245450,86314238,86372357,86407337,86477081,86604197,86638697,86650181,86787778,86810117,86956771,87175358,87214181,87237784,87272643,87279415,87324581,87518798,87556500,87597730,87640028,87747497,87914892,87928037,87934047,87959657,88032878,88220357,88256952,88394777,88496297,88526597,88576937,88647077,88678320,88736661,89030681,89088617,89260697,89395395,89397422,89458181,89560217,89920528,89967557,89994137,90047081,90082217,90125957,90143067,90186857,90414782,90485477,90510617,90593897,90643481,90685987,90717317,90733637,90755058,90944874,91072084,91091535,91092377,91135891,91278700,91618217,91627864,91725797,91831577,91861330,91894181,91913340,91990277,92010295,92057957,92157977,92319474,92390681,92422181,92540057,92567720,92576681,92606981,92643077,92701735,92720297,92768462,92842181,92988197,93004697,93059177,93088024,93102398,93106084,93149957,93393600,93395203,93451877,93522857,93582917,93600072,93637157,93650537,93788777,93910937,93934718,93959050,94036997,94058981,94167977,94217957,94262981,94291097,94323028,94380137,94408217,94421010,94464581,94538981,94550681,94573481,94590208,94604057,94635077,94708997,94712357,94727081,94728677,94733417,94735543,94750181,94764581,94772837,94779497,94784681,94815257,94840947,94843817,94850981,94873157,94874981,94877477,94878617,94881468,94883237,94887017,94887077,94991523,95093918,95211727,95355088,95580840,95784970,95832171,95883175,96038540,96547260,96742332,96901262,96930211,97164304,97328091,98040896,98142507,98757607,98853038,99143202,99289071,99534003,99619840,99763110,99967828,...,266334943067713260864381104756784203913772728974053566656387894167117266948487593096763132003826530910571527902162244603834617256037684240272897355686079712986973405276281171777111508689955520512807915762577988561176168270479357996417722942391098315520595761057615401529377826725870867746474115775688245329063692199390627348474591960393960710024732022590504563512139162617312388398742721607792482964787498300880908259628873372516617473785381426315136684387668706717860819927737823332091506120869360186455986692760059213812276737941651487134463336945672262643500686671009158912979722945487703934750004845608556988503731890041822726701274101436120078264245017304304258867610939802512118697518643080412341814508866319811510041999636645019217857553006910753646076731727046424796013513129618124081765626067780286943875282681265402310165476113748848178301519874112845256070728034251992645476771256569868721202619929803244629867632900029192181296694566335034650638170295776493090634566555959531878180976849019727496415635870657897253569022813394236951254438008282161698844588674592908311302717663727358025641917065606243794739135260443381494822738581460745650997652790079756969860860334190931456207026166517834609531805430805670242052169647867081201083863662486140568224157531551036498187026168375225067524939223689157607011878381139359676791860064588882678470516766616591856330054278424516038117379496655696728773218297792602602868074777595169888663065789168843091837828169227350693181436991031387728069227990226979288553084134244911796532014690630381032228787908822048191087657410213902905101112182471004266459624056972327284457401089074175128836914929071922486830826376634871726757173461141861619263596023347108909712846646633627686136637116536415534547387420990243968781205494773712461614085953405488114233454555043910945477646004861814597955824047843527942825441284486063028324394982272580503448012094419545505299828507302386172884957390040069013648789318530743020917348409139061981533924989179258036112581962781564575908109370639734599264377248554780234689175594268233197267967152940751367109757002021466505266794247351187659297500623710192010368518672685144415756606591135947230596936969351199575840990942926357625559164307804907308325223200181848483495439401672766284510891317526084580614244353907673285831528282074248255937926458222433115361796075254166411428198278165172450095073541115275858010698503426672213168266368144555589943426145242831836724109420797104526561196263491058987501359293623140709717872112153569632185369125836072693002410276840620376941926482252705307712874640653546284069381362044908042539817227881742628980118473223209708349474873669878365094665185456206818897428782054767786679103790696663077671022904372690616382780278973721842243243636141699992905508964885692811965124661389576440039038441239450977360921533169482222127772605188785252418478361543568055364477511239604288718503884305159459777480253733688029045601715874752993560074271032670052432697378039508802218924231906154724919595230833615587707155291981918422620960258483565834445760781589305795335062018037974909369}
19483  39720731827520239053870733540075197064933353216298183950761740725347147: {19483,155816,175293,642477,681485,817782,953981,973550,992613,1168260,1246144,1342533,1362830,1401912,1577151,1635396,1771133,1946900,2336280,2492032,2530190,2587781,2628315,2740053,2803536,2997302,3014285,3036228,3088893,3153978,3288233,3437517,3596585,3617142,3696830,3947741,4281860,4315902,4436196,4630766,5138232,5177397,5564702,5639630,5780511,5814653,5849333,5871837,5922185,6218733,6281381,6392141,6615380,6629381,6767556,7106622,7205933,7329257,7629496,7938456,8019221,8356190,8495717,8583183,8930763,9131630,9189917,9347273,9399785,9417188,9840182,9914933,10027428,10218075,10294190,10355657,10364637,10859693,10899280,10957956,11052597,11154542,11240366,11279742,11446037,11456030,11867453,12078101,12164375,12220841,12261690,12353028,12403358,12782966,13079136,13158341,13378313,13657181,13747236,13852877,13967933,14164190,14164696,14198213,14410382,14597250,14714028,15130517,15202862,15503277,15570400,15818462,15866957,15935060,15935283,16528973,16874788,16900013,16997028,17254430,17339381,17461277,17516700,17524958,18224013,18261380,18377942,18663581,18684480,18797630,18970575,19122072,19203413,19213636,19286582,19914557,19930112,19954190,20083382,20235280,20326685,20482382,20586260,20593317,20705316,20709182,20834441,20918573,21020040,21231581,21415166,21512331,21913656,22040105,22421376,22423817,22472835,22488077,22532342,22557156,22572221,22640222,22764690,22952037,23180585,23392516,23647545,23732462,23945028,23971024,24106840,24282336,24392022,24429353,24439166,24652863,24703512,25047736,25224048,25300173,25634757,25918286,26025485,26036741,26448126,26637213,26753375,26895317,26967402,27075662,27120195,27304437,27317628,27393422,27552260,27702902,27791451,27816702,28072804,28178703,28377054,28393502,28600022,28928208,29560157,29632917,30257918,30330830,30563837,30586661,30870173,31028366,31230582,31572184,31950813,32104050,32183501,32189060,32246030,32252585,32281077,32515384,32544234,32550773,32669486,33054542,33062712,33368755,33417880,33546075,33701558,34244320,34382296,34432073,34574981,34621037,34918958,35046308,35215277,35371133,35400662,35518707,35782480,36166781,36227397,36396996,36579807,36620462,36668381,37195551,37381396,37595115,37668941,37875785,37923197,37947998,38188893,38321876,38515053,38524860,38626872,38680083,38695236,38703102,38996105,39133460,39344333,40042506,40101456,40162628,40241822,40255290,40265176,41029577,41093184,41120228,41341982,41986133,42188597,42284175,42321821,42657581,42735477,42938976,43429828,43455231,43501526,43695230,43854677,44182973,44608984,44843006,45103120,45114138,45148901,45298323,45314517,45387017,45450942,45774724,45976430,46229832,46502872,46747022,46780216,46795326,46960152,47217797,47352605,47444477,47669650,48040541,48119837,48128462,48199413,48306348,48471881,49169597,49358153,49392830,49475973,50185107,50235544,50530190,50741010,50831117,50981381,51121336,51535721,51666830,51831236,51973901,52008561,52315731,52316918,52326473,52335597,52434276,52627743,52827437,52830171,53020541,53926575,54123744,54145748,54232293,54315471,54548835,54617476,54693182,55171716,55813613,56206190,56435277,56471693,56514987,56540342,56823126,57203580,57511503,57521680,57629656,58185424,58268873,58269662,58368605,58500701,58868702,59271396,59744175,59750717,59763062,59775197,59980190,60636228,60889212,61017152,61120317,61121366,61621133,62000196,62140421,62651992,62652075,62711597,63234713,63260824,63290037,63317942,63454756,63727120,64177718,64190633,64498430,64661275,64711890,64833363,64909085,65180261,65332244,65449173,65458602,65519486,65668733,66781460,66803933,66828880,66984933,67060157,67291437,67447428,68099500,68466075,68605358,68644296,69017403,69026016,69692381,69941717,70042326,70344597,70423286,70483491,70734902,70932278,71168427,71693010,71976228,72116381,72800056,73030480,73496632,73549085,73765181,73778595,73979877,74248430,74536133,74638948,74755096,74841806,74889641,75182490,75244036,75743630,75888164,76051502,76333061,76472544,76479533,76808798,77182575,77224833,77398116,77584053,77593530,77651871,77654268,77844836,77882997,77890902,77949833,78378422,78680462,78697168,79641796,79810958,80137752,80174381,80194656,80563773,80831273,80860557,80996755,81452021,81719400,81900063,81912664,82045533,82050686,82159290,82163575,82328080,82355117,82683711,82766432,82819672,82969181,83435702,83529182,83572430,83633235,83804942,83816517,84099483,84255902,84276735,84405117,85018766,85135637,85306358,85526213,85643032,85651766,85785784,86031612,86109182,86399177,86751977,86850712,86864585,87167360,87636576,88030190,88126276,88225181,88258902,88534314,88580933,88767086,88772030,88951133,89098116,89208784,89400278,89771006,89849333,89895184,90110776,90154971,90218988,90347981,90533253,90779981,90892356,91540024,91626797,91934325,92127785,92151747,92266653,92289413,92373250,92619090,93112236,93172131,93415397,93591053,93619748,93765278,93787781,94222985,94403981,94495982,94609028,94910296,95034173,95413661,95434190,95790605,95842635,95995677,96170333,96348411,96492617,96509007,96556142,96566133,96594904,96812837,96833885,96933758,97196106,97285000,97332235,97467317,97500075,97707051,97736536,97877321,98063280,98329046,98435753,98591148,98596290,98608862,98666573,98793696,98839317,99191981,99390953,99399795,99406697,99563375,...,355113257423617681152508139675712271885030305298738088875183858889489689264650124129017509338435374547428703869549659471779489674716912320363863140914772950649297873701708229036148678253274027350410554350103984748234891027305810661890297256521464420694127681410153868705837102301161156995298821034250993772084922932520836464632789280525280946699642696787339418016185550156416517864990295477056643953049997734507877679505164496688823298380508568420182245850224942290481093236983764442788674827825813581941315590346745618416368983922201982845951115927563016858000915561345545217306297260650271913000006460811409318004975853389096968935032135248160104352326689739072345156814586403349491596691524107216455752678488426415346722666182193358957143404009214338194768975636061899728018017506157498775687501423707049258500376908353869746887301484998464237735359832150460341427637379002656860635695008759824961603493239737659506490177200038922908395592755113379534184227061035324120846088741279375837574635798692969995220847827543863004758697084525649268339250677709548931792784899457211081736956884969810700855889420808325059652180347257841993096984775280994201330203720106342626481147112254575274942701555357112812709073907740893656069559530489441601445151549981520757632210042068048664249368224500300090033252298252210142682504508185812902389146752785176904627355688822122475106739037899354717489839328874262305030957730390136803824099703460226518217421052225124122450437558969800924241915988041850304092303986969305718070778845659882395376019587507174709638383878429397588116876546951870540134816243294672355279498742629769712609868118765566838449219905429229982441101835513162302342897948189148825684794697796145212950462195511503581515516155381887379396516561320325291708273993031616615485447937873984152311272740058547927303528006482419463941098730458037257100588379314750704432526643030107337930682792559394007066438009736514897179943186720092018198385758040990694556464545518749308711899985572344048150109283708752767877479160852979465685836331406373646252234125690977596357289537254335156146342669361955340355725663134916879063334164946922680491358230246859221008808788181262974129249292468266101121321257235143500745552410406543077766964266909131311327252535563688379347855090034779440818992471876897714442037709432331007917235277629910820482394767005555215237597704220229933460098054820367810680931337902229617557688490859407453257901526990442448965479227729472702081595017988078650001812391497520946290496149538092842913825501114763590669880369120827169255901976336940410283832854204728378759175149393210723386422970508990171973491297630946277799299831559837820126220247274942425196571709406357048905471720928884103561363872496920821843707038631629122990991514855599990540678619847590415953499548519435253385384588319267969814562044225976296170363473585047003224637815391424073819303348319472384958005179073545946369973671644917372060802287833003991413432361376893403243596504052678402958565642541539633226126974444820783609540389309224563494613677978087779261014375452407727113416024050633212492}
19484  39876841700890136332607079030368470485422841545989220113430143228307759: {136339,194770,233724,253123,428362,506194,719539,739594,835963,856636,1090376,1184803,1226673,1300939,1323484,1460325,1557680,1594162,1752390,1790044,1869216,1880539,1996243,2044245,2059474,2102868,2180528,2291914,2369362,2433625,2453094,2919283,2920350,3065674,3115040,3504420,3653404,3738048,3795285,3914962,3992074,4048304,4066603,4118524,4205304,4223314,4495953,4554342,4583356,4730967,4822856,5206723,5320339,5352325,5425713,5545245,5754536,5761234,5914928,6297994,6422790,6473853,6654294,6675809,6680914,6850976,6903196,6946149,6986962,7445554,7577539,7707348,7829116,8249083,8269225,8291644,8347053,8459445,8589514,8970034,9023408,9475496,9536870,9653962,9923070,10109194,10151334,10336594,10412362,10584608,10659933,10799323,11444244,11771485,11907684,12394109,12534285,12985963,13369904,13624100,13636339,13697445,13819516,14125782,14610608,14736796,14760273,15039656,15041142,15302962,15358003,15441285,15601714,16348920,16421962,16436934,16470704,16731813,16860549,16919613,17184045,17438848,17705870,17905939,18326563,18329648,18392535,18529542,18605037,19059883,19092874,19174449,19314514,19373083,19463000,19618704,19831114,19918825,19997539,20515939,20620854,20671036,20974646,21093485,21246285,21247044,21302794,21444523,21522994,21596362,21615573,21895875,21916769,22071042,22469443,22662704,22804293,22826725,23133394,23355600,23689843,23727693,23902590,24017045,24226954,24298684,24912640,25294100,25312182,25495542,25496096,25700803,25732825,25881645,26275050,26287437,26497123,26620114,27392070,27457756,27486034,27566913,27607088,27625661,27702154,28026720,28133962,28196445,28450961,28683108,28780594,28820454,28929873,28955923,29218208,29240645,29539339,29895168,29931285,29963780,30076208,30084509,30120163,30125073,30133550,30284362,30352920,30602203,30602716,30641362,30723573,30879390,30986539,31057974,31063773,31309670,31465339,31530060,31847083,31926704,32122749,32376448,32522696,32796403,32870484,32938016,33632064,33733564,33798513,33835734,33926083,33960333,34147035,34179676,34440325,34471474,34766539,34859563,34894162,35088774,35091005,35230939,35232029,35264168,35516284,35598693,35785843,35917542,35956536,36151973,36160260,36246283,36405916,36423504,36588033,36658749,37055268,37088936,37161763,37571604,37697362,37836072,38045962,38324554,38570944,38672434,38877429,39032861,39240043,39366994,39418963,39465230,39510556,39672189,40220539,40236325,40451103,40544074,40613493,40644230,40663339,40690013,40932689,40976442,41090133,41328390,41441074,41543539,41554353,41640776,41725053,41772350,42068203,42109206,42266674,42503443,42565581,42590253,42601084,42763723,42805400,42884362,42900033,42977870,43041436,43226962,43282339,43392312,43637554,43807885,43956101,44083616,44320594,44728100,44731169,44865874,44933962,45386877,45496245,45546034,45885514,46542549,46590163,46698634,46726745,46845873,46969162,47172283,47306962,47358276,47420683,47902345,48156075,48283590,48303196,48325939,48369045,48529328,48773076,48816351,48916825,49004229,49325362,49581813,49594068,49949539,50126820,50203285,50331470,50350939,50425949,50552337,50912246,50918524,51068923,51353404,51366480,51395914,51400285,51502496,51573444,51593648,51604136,51728434,51927754,52330939,52378437,52569462,52799443,52821197,53100993,53390008,53420083,53468608,53673720,53715154,53959363,54287285,54308362,54342403,54595494,54703114,54790912,54820493,54930693,55353221,55359754,55687474,55761230,55853993,55883914,56072094,56081203,56276362,56378900,56528539,56537674,56825323,56921997,56973283,56980636,57218405,57251968,57254962,57268339,57482814,57787290,57840394,57940308,58042854,58054653,58128590,58364539,58475270,58700190,59872003,60063759,60152184,60233554,60243942,60362733,60382935,60397764,60419356,60426634,60508339,60601256,61133362,61180262,61278163,61518034,61639776,61680342,62012973,62157874,62393768,62587339,62613536,62794430,62995363,63198403,63669643,63686962,63700049,63901670,63937339,64265884,64309553,64384714,64408464,64667563,64789045,65144742,65252289,65258539,65410709,65542845,65963314,65967964,65972923,66614803,66842962,66913476,67218994,67264509,67654680,67671207,67682185,67781962,68063803,68176413,68190397,68271845,68435539,68662086,68860022,68964645,69049339,69090514,69110323,69344748,69711154,69754308,69780796,69897034,69912368,70120533,70170324,70192989,70268362,70440228,70493083,70788643,71132554,71504475,71673581,71780083,71870794,71902100,71952883,72037070,72164992,72192693,72309724,72420628,72422962,72459522,72467213,72637603,72667954,72731780,72973834,73144339,73562288,73949962,74089245,74254162,74575483,74861362,74937653,75062561,75247036,75353316,75764168,75795285,75994373,76111515,76166323,76271440,76682004,77089723,77334154,77442523,77500245,77573962,77592643,77746854,78057686,78186643,78232114,78314990,78475377,78651414,78658286,78828754,78846929,79028528,79076030,79296163,79318445,79658900,79766683,79813339,80097521,80848304,80956339,81185616,81218622,81223963,81400939,81445003,81493756,81493834,81665305,81670354,81926214,82039773,82480939,82666928,82757574,83046509,83066083,83194162,83312539,83476825,83536100,83581333,83877523,84075883,84272443,84309285,84386716,84520541,84810513,84889339,84996874,85124375,85234689,85414003,85519469,85671043,85805370,86032123,86036554,86128757,86139043,86282520,86381962,86444484,86663923,86732683,86869339,87185674,87205939,87265564,87278136,87371539,87404493,87535339,87586354,88303053,88480339,88661563,88907094,89045323,89313244,89389718,89453126,89464714,89473003,89644593,89721916,89776339,89804362,89929904,89970285,90149803,90407923,90902563,90950443,90954342,91000070,91157194,91199069,91288100,91333818,91390939,91525728,91634083,91682049,91774162,91847563,91870790,91930939,92023204,92034688,92079869,92109874,92213683,92425939,92629483,92773142,92789539,92858803,92977243,93000294,93113554,93169162,93298685,93389768,93430339,93443870,93558643,93654403,93707539,93792796,93847723,93884443,93944203,93977988,94055045,94058323,94175539,94312123,94333234,94366339,94522142,94528339,94557283,94591843,94655563,94747363,94783363,94829962,94853203,94860205,94886683,94889923,94891236,94904539,94976913,95182134,95221529,95474329,95570741,95590680,95600074,95968304,96266577,96347581,96421714,96747645,96940193,97067835,97306045,97620274,97891594,97998366,98187903,98279229,98371460,98639836,98918962,99356789,99552245,...,532669886135426521728762209513568407827545457948107133312775788334234533896975186193526264007653061821143055804324489207669234512075368480545794711372159425973946810552562343554223017379911041025615831525155977122352336540958715992835445884782196631041191522115230803058755653451741735492948231551376490658127384398781254696949183920787921420049464045181009127024278325234624776797485443215584965929574996601761816519257746745033234947570762852630273368775337413435721639855475646664183012241738720372911973385520118427624553475883302974268926673891344525287001373342018317825959445890975407869500009691217113977007463780083645453402548202872240156528490034608608517735221879605024237395037286160824683629017732639623020083999273290038435715106013821507292153463454092849592027026259236248163531252135560573887750565362530804620330952227497696356603039748225690512141456068503985290953542513139737442405239859606489259735265800058384362593389132670069301276340591552986181269133111919063756361953698039454992831271741315794507138045626788473902508876016564323397689177349185816622605435327454716051283834131212487589478270520886762989645477162921491301995305580159513939721720668381862912414052333035669219063610861611340484104339295734162402167727324972281136448315063102072996374052336750450135049878447378315214023756762278719353583720129177765356941033533233183712660108556849032076234758993311393457546436595585205205736149555190339777326131578337686183675656338454701386362873982062775456138455980453958577106168268489823593064029381260762064457575817644096382175314820427805810202224364942008532919248113944654568914802178148350257673829858143844973661652753269743453514346922283723238527192046694217819425693293267255372273274233072831069094774841980487937562410989547424923228171906810976228466909110087821890955292009723629195911648095687055885650882568972126056648789964545161006896024188839091010599657014604772345769914780080138027297578637061486041834696818278123963067849978358516072225163925563129151816218741279469198528754497109560469378351188536466394535934305881502734219514004042933010533588494702375318595001247420384020737037345370288831513213182271894461193873938702399151681981885852715251118328615609814616650446400363696966990878803345532569021782635052169161228488707815346571663056564148496511875852916444866230723592150508332822856396556330344900190147082230551716021397006853344426336532736289111179886852290485663673448218841594209053122392526982117975002718587246281419435744224307139264370738251672145386004820553681240753883852964505410615425749281307092568138762724089816085079634455763485257960236946446419416698949747339756730189330370912413637794857564109535573358207581393326155342045808745381232765560557947443684486487272283399985811017929771385623930249322779152880078076882478901954721843066338964444255545210377570504836956723087136110728955022479208577437007768610318919554960507467376058091203431749505987120148542065340104865394756079017604437848463812309449839190461667231175414310583963836845241920516967131668891521563178611590670124036075949818738}
19485  40033560748299671280079439224299638178112438276663343973137746873081056: {38966,292155,311632,350586,642543,759291,954079,1070795,1109391,1284954,1362970,1635564,1654355,1907962,1947100,1985226,2237555,2336520,2355023,2391243,2492288,2628585,2685066,2725660,2803824,3089211,3154302,3270792,3437871,3542266,3554043,3638459,3679641,3893800,4219999,4380525,4566755,4598511,4672560,4984064,5035219,5060380,5148155,5175562,5256630,5480106,5607072,5729195,5872443,5988111,5994604,6028570,6072456,6177786,6307956,6334971,6576466,6831513,6875034,7020367,7193170,7234284,7393660,7834723,7895482,8291059,8563720,8628995,8631804,8641851,8764283,8872392,9261532,9446991,9634185,9786395,9981441,10021371,10043759,10276464,10354794,10364555,10480443,10860811,11129404,11168331,11279260,11322443,11561022,11629306,11698666,11743674,11844370,12437466,12562762,12784282,12884271,12961811,13159699,13230760,13258762,13455051,13535112,13540619,13658587,14213244,14305305,14411866,14480943,14658514,14884605,15153743,15163791,15227001,15258992,15504891,15517379,15618543,15868591,15876912,16038442,16338107,16712380,16991434,17030125,17166366,17274395,17703983,17861526,18263260,18314003,18379834,18420995,18665503,18694546,18799570,18834376,19680364,19829866,20054856,20436150,20588380,20711314,20729274,21188673,21523403,21719386,21798560,21915912,22105194,22271299,22309084,22480732,22559484,22561713,22892074,22912060,22954443,23402571,23734906,24156202,24328750,24441682,24523380,24632943,24655401,24706056,24806716,25565932,25838795,26158272,26316682,26329871,26558805,26756626,27314362,27494472,27705754,27794313,27935866,28328380,28329392,28396426,28457359,28639311,28820764,28971771,29099887,29194500,29320427,29428056,29746671,29822411,30261034,30373355,30405724,30856147,30931281,31006554,31140800,31461969,31617625,31636924,31665503,31733914,31870120,31870566,31954191,32284491,32394543,32452819,32616443,33057946,33106563,33749576,33800026,33994056,34322195,34508860,34678762,34700091,34922554,34934731,35033400,35049916,35853885,36340431,36435679,36448026,36522760,36729803,36755884,36994511,37327162,37368960,37454725,37595260,37941150,37968273,38243313,38244144,38253395,38406826,38427272,38573164,39412575,39656531,39829114,39860224,39908380,39930171,40166764,40266799,40470560,40653370,40915771,40964764,41088105,41172520,41186634,41229051,41410632,41418364,41553231,41668882,41837146,42040080,42136643,42166955,42200943,42463162,42724595,42830332,42834719,43024662,43170891,43230681,43756459,43827312,43859203,44080210,44395355,44842752,44847634,44945670,44976154,45064684,45114312,45144442,45153619,45200325,45280444,45426543,45507395,45529380,45904074,45962043,46319085,46361170,46586961,46630811,46716257,46785032,46964505,47295090,47464924,47890056,47942048,48045499,48213680,48564672,48784044,48858706,48878332,48935027,49305726,49388195,49407024,49859251,50095472,50448096,50600346,50753601,50836363,51269514,51707211,51836572,52050970,52073482,52341243,52633161,52896252,53026099,53251355,53274426,53506750,53737967,53790634,53801795,53876313,53934804,54151324,54240390,54435611,54594547,54608874,54635256,54786844,54795539,55104520,55405804,55577423,55582902,55633404,55802851,55910125,56145608,56357406,56394803,56546043,56754108,56787004,57068943,57200044,57486831,57598747,57856416,58008651,58696427,59050491,59120314,59197845,59265834,60250723,60378995,60515836,60579371,60661660,60816111,60966345,61127674,61173322,61464663,61740346,61820363,61992585,62056732,62161611,62461164,62658525,63144368,63163809,63400011,63648155,63901626,64191755,64208100,64326543,64367002,64378120,64466805,64492060,64505170,64562154,64840443,65030768,65088468,65101546,65338972,65456331,65556623,66109084,66125424,66293647,66480891,66737510,66800459,66835760,67092150,67298811,67400943,67403116,68319051,68488640,68764592,68828271,68864146,69149962,69242074,69837916,70047951,70092616,70430554,70453743,70473625,70674091,70742266,70801324,70960443,71037414,71225795,71564960,72333562,72425385,72454794,72793992,72848527,73159614,73240924,73336762,73988043,74246843,74391102,74762792,75190230,75337882,75497205,75524195,75751570,75846394,75895996,76368369,76377786,76643752,76750931,76754387,77030106,77049720,77093871,77253744,77360166,77390472,77406204,77592651,77891631,77992210,78266920,78688666,78854193,80085012,80202912,80325256,80332355,80483644,80510580,80530352,80572731,81462543,81716047,81893241,82054671,82059154,82186368,82240456,82363723,82459955,82683964,83039631,83531211,83641845,83700187,83825871,83932859,83972266,84108141,84131003,84377194,84414543,84568350,84643642,84806511,85315162,85470954,85877952,85882443,86224221,86680935,86760591,86859656,86910462,87003052,87064281,87192885,87225995,87390460,87709354,87712905,88050285,88365946,89217968,89686012,89877625,90206240,90228276,90297802,90350331,90365913,90387155,90525785,90596646,90613771,90629034,90639951,90774034,90872719,90901884,90914725,91549448,91700043,91770393,91952860,92277051,92459664,92520513,92738063,93005744,93236811,93416627,93494044,93560432,93590652,93920304,94058795,94191645,94435594,94705210,94888954,95339300,95530443,95852505,96081082,96239674,96256924,96398826,96414923,96577071,96612696,96943762,97717113,98339194,98716306,98785660,98944971,98951946,99306187,99573625,...,799004829203139782593143314270352611741318186922160699969163682501351800845462779290289396011479592731714583706486733811503851768113052720818692067058239138960920215828843515331334526069866561538423747287733965683528504811438073989253168827173294946561787283172846204588133480177612603239422347327064735987191076598171882045423775881181882130074196067771513690536417487851937165196228164823377448894362494902642724778886620117549852421356144278945410053163006120153582459783213469996274518362608080559367960078280177641436830213824954461403390010837016787930502060013027476738939168836463111804250014536825670965511195670125468180103822304308360234792735051912912776602832819407536356092555929241237025443526598959434530125998909935057653572659020732260938230195181139274388040539388854372245296878203340860831625848043796206930496428341246544534904559622338535768212184102755977936430313769709606163607859789409733889602898700087576543890083699005103951914510887329479271903699667878595634542930547059182489246907611973691760707068440182710853763314024846485096533766023778724933908152991182074076925751196818731384217405781330144484468215744382236952992958370239270909582581002572794368621078499553503828595416292417010726156508943601243603251590987458421704672472594653109494561078505125675202574817671067472821035635143418079030375580193766648035411550299849775568990162835273548114352138489967090186319654893377807808604224332785509665989197367506529275513484507682052079544310973094163184207683970680937865659252402734735389596044071891143096686363726466144573262972230641708715303336547413012799378872170916981853372203267222525386510744787215767460492479129904615180271520383425584857790788070041326729138539939900883058409911349609246603642162262970731906343616484321137384842257860216464342700363665131732836432938014585443793867472143530583828476323853458189084973184946817741510344036283258636515899485521907158518654872170120207040946367955592229062752045227417185944601774967537774108337745888344693727724328111919203797793131745664340704067526782804699591803901458822254101329271006064399515800382742053562977892501871130576031105556018055433247269819773407841691790810908053598727522972828779072876677492923414721924975669600545545450486318205018298853532673952578253741842733061723019857494584846222744767813779374667299346085388225762499234284594834495517350285220623345827574032095510280016639504799104433666769830278435728495510172328262391313579683588790473176962504077880869422129153616336460708896556107377508218079007230830521861130825779446758115923138623921960638852208144086134724127619451683645227886940355419669629125048424621009635095283995556368620456692286346164303360037311372089989233013068713118071849148340836921165526729730908425099978716526894657078435895373984168729320117115323718352932082764599508446666383317815566355757255435084630704166093432533718812866155511652915478379332440761201064087136805147624258980680222813098010157298092134118526406656772695718464174758785692500846763121465875945755267862880775450697503337282344767917386005186054113924728107}
19486  40190891329940248730207662316327616378988491444620479074995114889535683: {58449,272678,330973,389540,447649,467448,506246,525879,564253,856724,1012388,1029949,1146193,1439078,1479188,1610449,1671926,1713272,1927431,2044455,2073553,2180752,2189149,2369606,2433875,2453346,2601878,2646968,2861943,2920650,2977839,3115360,3188324,3226273,3407075,3504780,3580088,3738432,3761078,3799933,3992486,4027599,4088490,4118948,4205736,4361056,4371793,4583828,4731453,4738724,4867250,4906188,5313399,5838566,5840700,6131348,6230080,6325475,6641233,7008840,7306808,7476096,7493255,7590570,7763343,7829924,7884945,7984148,8096608,8133206,8220159,8237048,8410608,8446628,8547613,8991906,9042855,9108684,9166712,9242075,9266679,9461934,9645712,9864699,10312551,10413446,10640678,10704650,10763773,10789755,10851426,11090490,11093713,11509072,11522468,11576915,11642173,11829856,11843223,12188833,12595988,12842449,12845580,12947706,13308588,13351618,13361828,13701952,13806392,13892298,13911755,13926049,13973924,14099075,14465149,14891108,15155078,15414696,15532191,15658232,16480079,16498166,16538450,16583288,16694106,16918890,17179028,17341533,17443959,17547999,17556433,17615511,17766555,17940068,18046816,18188449,18656199,18844143,18950992,19073740,19176423,19307924,19846140,19888143,20218388,20302668,20673188,20824724,20890475,21169216,21319866,21598646,21617799,21987771,22233373,22437853,22829075,22888488,23542970,23815368,24057663,24600455,24768673,24788218,25068570,25470493,25487151,25735475,25749549,25770193,25969633,25971926,26739808,26792289,26962513,27248200,27272678,27394890,27569751,27639032,27886355,28041819,28100915,28199355,28251564,28340449,28640075,29221216,29473592,29520546,29530879,29744799,30079312,30082284,30187933,30605924,30654225,30716006,30882570,31008395,31066971,31093911,31203428,31957415,32579079,32697840,32843924,32873868,32941408,33052093,33157791,33240733,33463626,33523153,33617149,33623863,33721098,33839226,34338111,34368090,34877696,34925533,35018449,35410475,35411740,35602359,35811878,36025955,36035773,36234303,36493125,36495313,36653126,36659296,36662523,36785070,37059084,37210074,37317949,38007155,38119766,38185748,38348898,38629028,38746166,38926000,39237408,39475023,39483133,39546155,39662228,39837650,39995078,40002479,40134939,40903549,40936903,40971543,41031878,41241708,41342072,41558631,41869393,41903799,41949292,42186970,42492570,42494088,42594639,42605588,42725059,42889046,43045988,43086049,43136075,43172413,43192724,43231146,43791750,43812395,43833538,44142084,44714653,44799649,44938886,45308113,45325408,45391551,45608586,45653450,45944855,46266788,46509831,46711200,46994075,47233213,47379686,47455386,47600871,47805180,47805849,47811553,48034090,48216455,48453908,48597368,48631633,48876253,49127407,49444513,49586919,49825280,49885475,50208455,50588200,50624364,50700039,50991084,50992192,51205955,51286813,51401606,51465650,51682273,51763290,51772955,52018143,52383831,52550100,52574874,52857853,52994246,53240228,53400913,53537915,54017233,54104303,54170593,54552733,54672039,54784140,54857149,54915512,54972068,55133826,55214176,55251322,55404308,55990743,56053440,56267924,56287393,56330855,56392890,56600555,56901922,56911725,57366216,57561188,57610239,57640908,57859746,57911846,58129693,58436416,58481290,58637473,59078678,59331155,59642449,59743671,59790336,59862570,59927560,60152416,60169018,60240326,60250146,60267100,60568724,60705840,60980055,60983773,61097915,61204406,61205432,61282724,61331039,61447146,61758780,61779951,61802939,61817533,61973078,62093149,62115948,62127546,62161873,62425051,62503323,62619340,62755719,62777149,62930678,63060120,63386593,63694166,63694743,63722653,63853408,64245498,64389373,64536993,64752896,64785949,64795715,64851793,65045392,65417443,65592806,65701213,65740968,65830813,65876032,66120315,66474493,67063283,67264128,67271451,67418505,67464231,67467128,67597026,67614973,67671468,67689155,67716663,67852166,67920666,67927633,68294070,68359352,68483555,68856111,68880650,68916049,68942948,69221149,69257255,69524449,69533078,69541755,69719126,69788324,69825949,70177548,70182010,70284599,70364113,70461878,70464058,70528336,70660573,70942635,70983755,71032568,71197386,71500055,71571686,71828413,71835084,71886049,71913072,71960399,72115873,72303946,72320520,72492566,72798433,72811832,72847008,72893183,73176066,73288059,73317498,73359313,73958589,74110536,74177872,74323526,74622013,74998753,75143208,75265693,75394724,75477949,75644795,75672144,75827075,75900519,76002199,76055713,76091924,76649108,76727293,76904271,77083873,77141888,77344868,77537149,77570915,77754858,78065722,78076455,78110223,78230653,78480086,78733988,78837926,78930460,79021112,79344378,79433953,79902673,79911639,80105767,80260125,80441078,80472650,80588651,80615075,80685951,80818513,80902206,81088148,81132253,81226986,81288460,81326678,81360585,81380026,81574333,81673715,81865378,81913311,81952884,82180266,82181149,82636355,82656780,82773853,82857373,82882148,83064913,83087078,83108706,83229649,83281552,83374353,83450106,83474593,83544700,84075613,84136406,84218412,84253895,84533348,84536109,84813649,84851773,85006886,85131162,85180506,85202168,85527446,85610800,85768724,85800066,85955740,86082872,86422993,86453924,86457949,86564678,86784624,86939773,86974679,87108433,87175393,87275108,87297395,87308449,87473149,87615770,87912202,87988093,88167232,88501655,88641188,88680471,88696033,88874449,88898751,89456200,89462338,89731748,89867924,89890513,89970973,90103633,90156193,90234493,90260449,90286333,90641149,90704663,90764449,90773754,90992490,91092068,91262653,91353949,91551155,91555153,91664413,91691511,91759983,91771028,92022433,92183713,92203549,92282173,92610519,92676049,92765149,93038173,93085098,93180326,93199453,93397268,93413149,93414431,93453490,93471613,93612733,93680593,93691746,93934033,93938324,93945949,94072273,94344566,94372513,94416253,94458193,94601149,94613924,94659793,94672033,94716552,94723549,94749649,94755059,94821073,94841366,94856353,94869995,94913053,94925473,94926049,95580583,95804690,95852439,96312150,96357503,96550503,96567180,96606392,96651878,96738090,96757755,96843231,97058656,97546152,97632702,97652319,97833650,98008458,98650724,98777939,99163626,99188136,99899078,...,1065339772270853043457524419027136815655090915896214266625551576668469067793950372387052528015306123642286111608648978415338469024150736961091589422744318851947893621105124687108446034759822082051231663050311954244704673081917431985670891769564393262082383044230461606117511306903483470985896463102752981316254768797562509393898367841575842840098928090362018254048556650469249553594970886431169931859149993203523633038515493490066469895141525705260546737550674826871443279710951293328366024483477440745823946771040236855249106951766605948537853347782689050574002746684036635651918891781950815739000019382434227954014927560167290906805096405744480313056980069217217035470443759210048474790074572321649367258035465279246040167998546580076871430212027643014584306926908185699184054052518472496327062504271121147775501130725061609240661904454995392713206079496451381024282912137007970581907085026279474884810479719212978519470531600116768725186778265340138602552681183105972362538266223838127512723907396078909985662543482631589014276091253576947805017752033128646795378354698371633245210870654909432102567668262424975178956541041773525979290954325842982603990611160319027879443441336763725824828104666071338438127221723222680968208678591468324804335454649944562272896630126204145992748104673500900270099756894756630428047513524557438707167440258355530713882067066466367425320217113698064152469517986622786915092873191170410411472299110380679554652263156675372367351312676909402772725747964125550912276911960907917154212336536979647186128058762521524128915151635288192764350629640855611620404448729884017065838496227889309137829604356296700515347659716287689947323305506539486907028693844567446477054384093388435638851386586534510744546548466145662138189549683960975875124821979094849846456343813621952456933818220175643781910584019447258391823296191374111771301765137944252113297579929090322013792048377678182021199314029209544691539829560160276054595157274122972083669393636556247926135699956717032144450327851126258303632437482558938397057508994219120938756702377072932789071868611763005468439028008085866021067176989404750637190002494840768041474074690740577663026426364543788922387747877404798303363963771705430502236657231219629233300892800727393933981757606691065138043565270104338322456977415630693143326113128296993023751705832889732461447184301016665645712793112660689800380294164461103432042794013706688852673065472578222359773704580971327346896437683188418106244785053964235950005437174492562838871488448614278528741476503344290772009641107362481507767705929010821230851498562614185136277525448179632170159268911526970515920473892892838833397899494679513460378660741824827275589715128219071146716415162786652310684091617490762465531121115894887368972974544566799971622035859542771247860498645558305760156153764957803909443686132677928888511090420755141009673913446174272221457910044958417154874015537220637839109921014934752116182406863499011974240297084130680209730789512158035208875696927624618899678380923334462350828621167927673690483841033934263337783043126357223181340248072151899637476}
19487  40348835815082418445867110568612246238698897541039891766936917627341516: {77932,409017,486925,584310,623264,701172,759369,1070905,1265485,1285086,1499113,1518582,1848985,1908158,2141590,2158617,2218782,2316097,2507889,2569908,2725940,2783209,3132577,3271128,3308710,3554409,3680019,3815924,3894200,3902817,3970452,3985405,4066513,4299997,4380975,4475110,4673040,4710046,4782486,4984576,5148685,5257170,5370132,5451320,5607648,5641617,5729785,5923405,5988729,6132735,6178422,6203593,6308604,6393457,6541584,6875742,7084532,7108086,7207417,7276918,7300875,7359282,7603777,7664185,7787600,8020873,8439998,8757849,8761050,9133510,9191809,9197022,9345120,9584413,9787405,9968128,9980185,10044793,10070438,10120760,10284289,10296310,10351124,10357789,10513260,10558285,10960212,11214144,11323609,11385855,11458390,11744886,11869897,11976222,11989208,12057140,12080593,12144912,12199809,12223357,12355572,12601633,12615912,12669942,13152932,13381069,13487859,13542013,13663026,13700953,13750068,13855729,14040734,14192901,14201137,14386340,14403085,14468568,14510377,14787320,15133633,15518977,15580609,15620169,15669446,15744985,15790964,15961017,16056975,16277139,16339789,16532377,16582118,16635735,16702285,17127440,17257990,17263608,17283702,17342953,17464873,17467405,17494717,17528566,17744784,17908969,18315889,18523064,18613885,18893982,18979873,19207369,19268370,19421559,19572790,19962882,20027427,20042742,20087518,20552928,20677393,20709588,20729110,20838447,20838733,20922889,20960886,20989777,21473785,21721622,21949609,22100017,22258808,22336662,22425085,22558520,22644886,22732617,23086813,23122044,23258612,23397332,23487348,23688740,23842175,24134905,24184153,24747249,24807675,24874932,25041159,25125524,25272985,25378335,25436749,25568564,25768542,25789393,25841485,25923622,26030905,26042113,26319398,26461520,26517524,26910102,27070224,27081238,27222409,27317174,27355057,28426488,28610610,28823732,28961886,29317028,29323453,29769210,30307486,30327582,30454002,30517984,31009782,31034758,31237086,31737182,31753824,31879129,31946077,31979799,32076884,32397969,32557489,32676214,32769889,33363913,33424760,33741817,33982868,34060250,34207489,34332732,34548790,35314455,35407966,35470633,35723052,36174313,36526520,36628006,36759668,36841990,36998329,37182327,37331006,37389092,37599140,37602855,37668752,37676713,38257405,38957889,39004285,39360728,39659732,39917833,40109712,40872300,40909017,41054905,41092335,41176760,41422628,41458548,42330553,42377346,42522697,43046806,43407949,43438772,43597120,43831824,44192089,44210388,44264675,44280819,44397289,44542598,44618168,44961464,45026557,45118968,45123426,45784148,45824120,45908886,46074009,46323855,46805142,46897153,47469812,47732185,48051073,48064753,48286285,48293017,48312404,48657500,48883364,49046760,49265886,49310802,49412112,49577785,49591873,49613432,49846729,50195439,50574073,50581647,50758839,50908633,51131864,51552135,51677590,52316544,52436615,52633364,52659742,53117610,53234113,53256985,53513252,53554753,53717817,53743513,53807485,53990905,54332113,54441229,54628724,54692089,54979689,54988944,55177605,55411508,55559593,55583209,55588626,55815111,55871732,56656760,56658784,56792852,56833513,56914718,57179649,57278622,57523347,57641528,57833485,57943542,57983389,58119249,58199774,58250329,58389000,58640854,58856112,59033737,59145769,59352253,59493342,59644822,59756475,59814433,59992617,60522068,60567385,60746710,60811448,61005577,61242073,61547817,61712294,61826809,61862562,62013108,62153497,62281600,62632909,62923938,63235250,63273848,63280455,63331006,63467828,63710353,63738855,63740240,63741132,63908382,64333569,64545277,64568982,64789086,64846719,64905638,65232886,65601889,65682409,65687625,65750307,65978209,66115892,66213126,66550285,67408329,67499152,67600052,67988112,68412879,68480175,68644390,68715085,69017720,69082033,69143473,69255385,69357524,69400182,69845108,69869462,70066800,70099832,70334905,70948273,71069529,71183079,71707770,71951485,72051135,72359449,72680862,72871358,72896052,73045520,73060429,73459606,73511768,73989022,74551897,74654324,74737920,74909450,75190520,75322513,75333875,75710905,75882300,75936546,76197757,76486626,76488288,76506790,76603405,76813652,76854544,77102409,77146328,77198475,77476009,77644935,77874889,78135553,78274175,78825150,78862311,78945997,79313062,79491369,79658228,79720448,79816760,79860342,80333528,80533598,80941120,81306740,81673273,81831542,81929528,82007473,82047793,82176210,82345040,82373268,82458102,82700739,82821264,82836728,82876983,83106462,83317993,83337764,83434189,83674292,83941597,84080160,84273286,84333910,84401886,84530593,84589335,84666289,84926324,85352883,85449190,85660664,85669438,85874497,86049324,86178685,86341782,86461362,86789619,86867769,87235405,87298777,87512918,87654624,87718406,87721935,87746269,87877453,88160420,88618017,88790710,89107417,89569789,89685504,89695268,89793855,89868457,89891340,89952308,90129368,90228624,90253527,90288884,90307238,90360489,90375219,90400650,90560888,90853086,91014790,91058760,91806609,91808148,91924086,91929673,92170719,92638170,92722340,92959617,93173922,93191319,93261622,93432514,93570064,93639193,93807313,93929010,94243405,94396017,94590180,94929848,95114905,95541249,95780112,95811385,95884096,96090998,96368247,96427360,96681085,96833209,97129344,97225657,97568088,97649233,97717412,97756664,97870054,98389209,98417485,98611452,98663075,98776390,98814048,99427549,99716113,99718502,99859153,...,1598009658406279565186286628540705223482636373844321399938327365002703601690925558580578792022959185463429167412973467623007703536226105441637384134116478277921840431657687030662669052139733123076847494575467931367057009622876147978506337654346589893123574566345692409176266960355225206478844694654129471974382153196343764090847551762363764260148392135543027381072834975703874330392456329646754897788724989805285449557773240235099704842712288557890820106326012240307164919566426939992549036725216161118735920156560355282873660427649908922806780021674033575861004120026054953477878337672926223608500029073651341931022391340250936360207644608616720469585470103825825553205665638815072712185111858482474050887053197918869060251997819870115307145318041464521876460390362278548776081078777708744490593756406681721663251696087592413860992856682493089069809119244677071536424368205511955872860627539419212327215719578819467779205797400175153087780167398010207903829021774658958543807399335757191269085861094118364978493815223947383521414136880365421707526628049692970193067532047557449867816305982364148153851502393637462768434811562660288968936431488764473905985916740478541819165162005145588737242156999107007657190832584834021452313017887202487206503181974916843409344945189306218989122157010251350405149635342134945642071270286836158060751160387533296070823100599699551137980325670547096228704276979934180372639309786755615617208448665571019331978394735013058551026969015364104159088621946188326368415367941361875731318504805469470779192088143782286193372727452932289146525944461283417430606673094826025598757744341833963706744406534445050773021489574431534920984958259809230360543040766851169715581576140082653458277079879801766116819822699218493207284324525941463812687232968642274769684515720432928685400727330263465672865876029170887587734944287061167656952647706916378169946369893635483020688072566517273031798971043814317037309744340240414081892735911184458125504090454834371889203549935075548216675491776689387455448656223838407595586263491328681408135053565609399183607802917644508202658542012128799031600765484107125955785003742261152062211112036110866494539639546815683383581621816107197455045945657558145753354985846829443849951339201091090900972636410036597707065347905156507483685466123446039714989169692445489535627558749334598692170776451524998468569189668991034700570441246691655148064191020560033279009598208867333539660556871456991020344656524782627159367177580946353925008155761738844258307232672921417793112214755016436158014461661043722261651558893516231846277247843921277704416288172269448255238903367290455773880710839339258250096849242019270190567991112737240913384572692328606720074622744179978466026137426236143698296681673842331053459461816850199957433053789314156871790747968337458640234230647436705864165529199016893332766635631132711514510870169261408332186865067437625732311023305830956758664881522402128174273610295248517961360445626196020314596184268237052813313545391436928349517571385001693526242931751891510535725761550901395006674564689535834772010372108227849456214}
19488  40507396582110551339517682974612989666969099553528060122878605158394263: {97415,116898,214247,331007,369911,545356,603167,661946,779080,797327,876465,895298,913727,934896,1012492,1051758,1128506,1146311,1185047,1301207,1378607,1713448,1880927,1927629,1958087,2024776,2059898,2073767,2112311,2277873,2292386,2862237,2878156,2958376,3212385,3220898,3328173,3343852,3407425,3426544,3456311,3838511,3854862,4088910,4147106,4361504,4378298,4410311,4600511,4739212,4769905,4828487,4867750,4906692,4942367,4963065,5169911,5203756,5293936,5321447,5397167,5723886,5841300,5888567,5955678,6230720,6340967,6376648,6452546,6641927,6679511,6712665,6814150,7009560,7017407,7065069,7160176,7173729,7476864,7522156,7599866,7653887,7803311,7885755,7984972,7989911,8055198,8176980,8237896,8411472,8697167,8722112,8743586,8855665,9105311,9167656,9253487,9267633,9462906,9477448,9660311,9734500,9812376,10250327,10313613,10490557,10626798,10662129,10764911,10801607,10911647,10915377,11038923,11677132,11679911,11681400,12262696,12460160,12650950,12659997,12938905,12988727,13141575,13169687,13282466,13700265,13795533,13855511,14017680,14179367,14394911,14613616,14717687,14896727,14952192,14986510,15071425,15105657,15111311,15181140,15432647,15444465,15526686,15659848,15769890,15968296,16193216,16207681,16266412,16440318,16441165,16474096,16821216,16893256,17095226,17187585,17558327,17617329,17909807,17964333,17980007,17982925,17983812,18085710,18217368,18333424,18484150,18533358,18923868,19004913,19029167,19291424,19342511,19476457,19551047,19729398,19738705,20001887,20071127,20382311,20494539,20520407,20625102,20826892,21061101,21281356,21409300,21527546,21579510,21620567,21702852,21723287,21962687,22180980,22187426,22474367,22576487,22950311,23018144,23044936,23153830,23255447,23284346,23458511,23504169,23593727,23659712,23686446,23762567,23964911,24377666,24670847,24771407,24873177,25191976,25306511,25684898,25691160,25773047,25806311,25886985,25895412,25925553,25972511,26105327,26292849,26617176,26703236,26723656,26965511,27163247,27403904,27492167,27612784,27784596,27787511,27823510,27852098,27947848,27951311,28082207,28198150,28278311,28340973,28571927,28734767,28902555,28930298,29073265,29222087,29246665,29359185,29610925,29782216,29944323,30064113,30131277,30191327,30223511,30310156,30829392,30897527,31064382,31093665,31185311,31316464,31406905,31441329,31960705,32329967,32582433,32803847,32960158,32996332,33076900,33087311,33146905,33166576,33244511,33388212,33504993,33526967,33837780,33967329,34183511,34358056,34440637,34650311,34683066,34887918,34929527,34960511,35095998,35112866,35146247,35231022,35239007,35533110,35578511,35880136,36029665,36039911,36093632,36315887,36376898,36499511,36646285,36682847,36957311,37079087,37312398,37443647,37688286,37901984,38147480,38352846,38615848,38652813,38885433,39040897,39249167,39341281,39479097,39487727,39692280,39776286,40096105,40289087,40365153,40436776,40584407,40605336,40621857,40731767,40849511,40975761,41172647,41346376,41611727,41649448,41699327,41780950,41874311,41990807,42136247,42338432,42478585,42639732,42915915,43197292,43206287,43235598,43292567,43411753,43442829,43975542,44037311,44151407,44466746,44653815,44708653,44719967,44740381,44748311,44875706,45003047,45461229,45491373,45658150,45681003,45735311,45776976,45903527,45949585,46514673,46552137,46573511,46684727,46736365,46855629,46998925,47085940,47238887,47275657,47514767,47605773,47630736,48115326,48474047,49014321,49044911,49200910,49477487,49537346,49574665,49576436,49612247,49961687,50015327,50137140,50283047,50363207,50436337,50940986,50974302,51054911,51090375,51470950,51499098,51540386,51714911,51778285,51823185,51939266,51943852,51951287,52396007,52864367,52890311,53045807,53111949,53210017,53407511,53433287,53479616,53584578,53925026,54023927,54202847,54298465,54496400,54545356,54584927,54789780,54942009,55139502,55262985,55278064,55364617,55772710,55996509,56083638,56170007,56201830,56319311,56398710,56503128,56680898,56962967,57230185,57280150,57282767,58064207,58306727,58379327,58427687,58442432,58741247,58885511,58947184,59041092,59061758,59149247,59337265,59489598,59863607,60158624,60164568,60170927,60375866,60390505,60570767,60821875,60874967,61014911,61104205,61131311,61211848,61308450,61337353,61340327,61432012,61765140,62016790,62133942,62187822,62192807,62261447,62406856,62512511,63214847,63394847,63417311,63529511,63566019,63730967,63753311,63914830,63941449,64220687,64322797,64331447,64397807,64419911,64530311,64570209,64882247,64991807,65158158,65188511,65395680,65601647,65687848,65731511,65747736,65791705,65839511,65882816,65925767,66104186,66315582,66355127,66481466,66813897,66891565,66927252,66993167,67046306,67234298,67247726,67442196,67503037,67644911,67678452,67685139,67957511,68285905,68392127,68453927,68676222,68700407,68736180,68863329,68864087,69067967,69073873,69264385,69412727,69715007,69755392,69795311,69839665,69851066,70015487,70036898,70207713,70291837,70393511,70807967,70820950,70823480,70991065,71101847,71204718,71623756,71688337,71780567,71838287,71972687,72051910,72071546,72144911,72430511,72468606,72482137,72525311,72808511,72921287,72986250,72990626,73039837,73164647,73201967,73257887,73306252,73318592,73325046,73369511,73388087,73554911,73570140,73813127,73898829,73966203,73996607,74118168,74420148,74632487,74635898,74953081,75027167,75652585,75909767,76014310,76135967,76222607,76239532,76343567,76371496,76395287,76697796,76738247,76755311,77111807,77258056,77414567,77492332,77516385,77614967,77852000,78160127,78241967,78258311,78474816,78502511,78863197,78889487,78950046,78966266,78989613,79092310,79224311,79240777,79319327,79324456,79334785,79398287,79445567,79675300,79676415,79696511,79867847,79929911,79990156,80004958,80146127,80269878,81010247,81203687,81277727,81425207,81586511,81601127,81807098,81819407,81873806,81943086,82035887,82063756,82364327,82483416,82534007,82590311,82644865,82684144,82716527,82869911,82883807,83063617,83091287,83117262,83160047,83201207,83283311,83337887,83382939,83500847,83541407,83622311,83689511,83738786,83807598,83898584,84101687,84298367,84373940,84500065,84557807,84609311,84724727,84864911,84877607,84915647,84940967,84985140,84988176,85054511,85189278,85211176,85372077,85428311,85450118,85537081,85551311,85612511,85778092,85917933,86091976,86146489,86172098,86225327,86272150,86344826,86385448,86448311,86462292,86518127,86679911,86696905,86851511,86915313,86919647,86983633,87122327,87133511,87200447,87256007,87289247,87299661,87306385,87366527,87399527,87421487,87583500,87624790,87667076,87843311,87961281,88002311,88263311,88284168,88407287,88509167,88529447,88569911,88660487,88710527,89122967,89240013,89304911,89429306,89467233,89530607,89599298,89687687,89806247,89824367,89877772,89941367,89986007,90039311,90118727,90127511,90180047,90310127,90438407,90556511,90616226,90650816,90689567,90714001,90714287,90763511,90783102,90997367,91120065,91123511,91217172,91306900,91422407,91548887,91680287,91889710,91963007,92206511,92458607,92471207,92533576,92568441,92589311,92656367,92674487,92793843,92834327,92892047,92909207,92943311,93019662,93054911,93189911,93216311,93221567,93299447,93317905,93400487,93422400,93493511,93629927,93634511,93697847,93702311,93728927,93832511,93853511,93870167,93988150,94014311,94093607,94111967,94122887,94144511,94165847,94211087,94281311,94385907,94393487,94408247,94434311,94466426,94476311,94593887,94600967,94635287,94648511,94672007,94692527,94727447,94758047,94759372,94764817,94764911,94779887,94789511,94810847,94825127,94839911,94841207,94852875,94875311,94895807,94903511,94906727,94910772,94920887,94925087,94932311,94932767,94936511,94941047,94943327,94944911,94945007,94945511,94996509,95201742,95241133,95610360,95611698,95623106,95862573,95876977,96017065,96068180,96432910,96853473,96907816,96960157,97183629,97194736,97263266,97358457,97752506,97849329,98254814,98889026,99173838,99319689,99377257,99572785,99650560,99770950,...,2397014487609419347779429942811057835223954560766482099907491047504055402536388337870868188034438778195143751119460201434511555304339158162456076201174717416882760647486530545994003578209599684615271241863201897050585514434314221967759506481519884839685361849518538613764400440532837809718267041981194207961573229794515646136271327643545646390222588203314541071609252463555811495588684494470132346683087484707928174336659860352649557264068432836836230159489018360460747379349640409988823555087824241678103880234840532924310490641474863384210170032511050363791506180039082430216817506509389335412750043610477012896533587010376404540311466912925080704378205155738738329808498458222609068277667787723711076330579796878303590377996729805172960717977062196782814690585543417823164121618166563116735890634610022582494877544131388620791489285023739633604713678867015607304636552308267933809290941309128818490823579368229201668808696100262729631670251097015311855743532661988437815711099003635786903628791641177547467740722835921075282121205320548132561289942074539455289601298071336174801724458973546222230777253590456194152652217343990433453404647233146710858978875110717812728747743007718383105863235498660511485786248877251032178469526830803730809754772962375265114017417783959328483683235515377025607724453013202418463106905430254237091126740581299944106234650899549326706970488505820644343056415469901270558958964680133423425812672998356528997967592102519587826540453523046156238632932919282489552623051912042813596977757208204206168788132215673429290059091179398433719788916691925126145910009642239038398136616512750945560116609801667576159532234361647302381477437389713845540814561150276754573372364210123980187415619819702649175229734048827739810926486788912195719030849452963412154526773580649393028101090995395198509298814043756331381602416430591751485428971560374567254919554840453224531032108849775909547698456565721475555964616510360621122839103866776687188256135682251557833805324902613322325013237665034081183172984335757611393379395236993022112202580348414098775411704376466762303987813018193198547401148226160688933677505613391728093316668054166299741809459320223525075372432724160796182568918486337218630032478770244165774927008801636636351458954615054896560598021857734761225528199185169059572483754538668234303441338124001898038256164677287497702853784503486552050855661870037482722096286530840049918514397313301000309490835307185486530516984787173940739050766371419530887512233642608266387460849009382126689668322132524654237021692491565583392477338340274347769415871765881916556624432258404172382858355050935683660821066259008887375145273863028905285851986669105861370076859038492910080111934116269967699039206139354215547445022510763496580189192725275299936149580683971235307686121952506187960351345971155058796248293798525339999149953446699067271766305253892112498280297601156438598466534958746435137997322283603192261410415442872776942040668439294030471894276402355579219970318087155392524276357077502540289364397627837265803588642326352092510011847034303752158015558162341774184321}
19489  40666576018557647187543388196815245732409288925737076615848610580505036: {19489,155864,175347,681695,818034,973850,992919,1168620,1246528,1265615,1342947,1402344,1499267,1518738,1577637,1692759,1771679,2141810,2530970,2570172,2588579,2998226,3037164,3089847,3289247,3438579,3597695,3697970,3816316,4179815,4283180,4317234,4437564,4632194,4805879,4831347,5015778,5139816,5451880,5566418,5579567,5782293,5924015,6133365,6220659,6265154,6504695,6542256,6567447,6617420,6631427,7108818,7208159,7301625,7331519,7360038,7631848,7788400,7805634,7912487,7940904,7970810,8021699,8133026,8292767,8498339,8585829,8599994,8761950,8933517,8950220,9346080,9402695,9420092,9564972,9678819,9969152,9981215,10221225,10245407,10297370,10514340,10711991,10729859,10740264,10863047,10902640,11215296,11283234,11399799,11459570,11846810,11871119,11977458,12082797,12168125,12265470,12356844,12407186,12617208,12786914,13028807,13083168,13115379,13382447,13661399,13702367,13751484,13972259,14169064,14194359,14202599,14216172,14414834,14553836,14596415,14601750,14718564,14781599,14892839,15135191,15207554,15328370,15575200,15871859,15940197,16041746,16534079,16879996,17344739,17466671,17515698,17522100,18267020,18383618,18394044,18413447,18669347,18690240,18976425,19168826,19209347,19552919,19574810,19923699,19936256,19960370,20089586,20140876,20164319,20241520,20333015,20568578,20592620,20679527,20702248,20715578,20840879,21026520,21116570,21920424,22042979,22275887,22428288,22430759,22479765,22647218,22771710,22916780,23290029,23383199,23489772,23654835,23739794,23952444,23978416,24114280,24161186,24212999,24289824,24399618,24436919,24446714,24454367,24660477,24679007,24700019,24711144,25203266,25231824,25339884,25642839,25940447,26033615,26059439,26305864,26601695,26761625,26762138,26975718,27084026,27128565,27326052,27401906,27500136,27711458,27726225,27800037,28081468,28385802,28402274,28772680,28806170,28937136,29020754,29105891,29574640,29594097,30063299,30267266,30573299,30937653,31037954,31161218,31240338,31338892,31395119,31489970,31581928,31922034,32113950,32291319,32369265,32554278,32679578,32773271,33064754,33164236,33271470,33281139,33379045,33404570,33788867,34254880,34515980,34527216,34567404,34685906,34730745,34926519,34929746,34934810,34989434,35057132,35226179,35382179,35489568,35529669,35704439,35817938,35876147,36178079,36443267,36566499,36631778,37046128,37227770,37787964,37887695,37959746,38414738,38527347,38536740,38843118,39145580,39430079,39925764,40054854,40085484,40175036,40275107,41042279,41105856,41245415,41346125,41354786,41419176,41458220,41676894,41677466,41735265,41778147,41845778,41919839,41921772,41979554,42297225,42670787,42947570,43395447,43443244,43765487,43899218,44200034,44401871,44517616,44673324,44718707,44850170,45117040,45289772,45465234,45683879,46173626,46244088,46517224,46596573,46794664,46974696,47377480,47459171,47684350,48269810,48368306,48486887,48488231,49184819,49440237,49494498,49615350,49749864,50082318,50251048,50323799,50545970,50756670,50873498,50913887,50997287,51137128,51537084,51578786,51682970,51847244,52024599,52061810,52084226,52331877,52342679,52638796,52643997,52669299,52846533,52923040,53035048,53239607,53299665,53505239,53560367,53820204,53996615,54140448,54162476,54444818,54565347,54605999,54634348,54710114,55426211,55565327,55830899,55968597,56532429,56627279,56803799,56852976,57221220,57256067,57476867,57529269,57647464,57923772,58634056,58646906,58857425,59538420,59664429,59769359,60614972,60655164,60811847,60908004,61035968,61970545,62019564,62069516,62474172,62671425,63474364,63507648,63758258,63892154,63959598,64153768,64210679,64795938,64853397,64929815,65114978,65200559,65352428,65539778,65689247,65963313,66334871,66700119,66727826,66825059,66849520,67166879,67313559,67483634,67600799,67965736,68120500,68181695,68414978,68487225,68665464,69097580,69408899,69724799,70628910,70815932,70941266,70955687,71203439,71446104,72138839,72172989,72348626,72972959,73053040,73068047,73256012,73411261,73519336,73683980,73801365,73996658,74306019,74364654,74559779,74662012,74778184,75198280,75205710,75330479,75337504,75353426,75587267,76411479,76461453,76514810,76790015,77206425,77209331,77248647,77310579,77908899,77915778,77974247,78008570,78721456,78789407,79319464,79835666,80219424,80376867,80887539,80966879,81744600,81818034,82109810,82184670,82353520,82709253,82845256,82917096,83245571,83326727,83659065,83847959,84125457,84302745,84554111,84598065,84661106,84754692,84794339,85021347,85045394,85162199,85552847,85791431,85920225,86093612,86815898,86877544,87194240,87327971,87663648,88185059,88384178,88420776,88529350,88561638,88592637,88794578,89085196,89188271,89234397,89236336,89529695,89922928,90053114,90237936,90246852,90563799,91568296,91632815,91648240,91655411,91817772,91962675,92148018,92647710,93025185,93170399,93200913,93281733,93610284,93794306,93817079,93937967,93939047,94939624,95299415,95464370,95872245,95977379,96102146,96129506,96201119,96522959,96572570,96586034,96624808,96865415,96957539,97315000,97737237,97766728,98093520,98466719,98468867,98531772,98621604,98824224,99042959,99155570,99156279,99183746,99226864,99473373,99594125,99693458,99722199,99987695,...,3196019316812559130372573257081410446965272747688642799876654730005407203381851117161157584045918370926858334825946935246015407072452210883274768268232956555843680863315374061325338104279466246153694989150935862734114019245752295957012675308693179786247149132691384818352533920710450412957689389308258943948764306392687528181695103524727528520296784271086054762145669951407748660784912659293509795577449979610570899115546480470199409685424577115781640212652024480614329839132853879985098073450432322237471840313120710565747320855299817845613560043348067151722008240052109906955756675345852447217000058147302683862044782680501872720415289217233440939170940207651651106411331277630145424370223716964948101774106395837738120503995639740230614290636082929043752920780724557097552162157555417488981187512813363443326503392175184827721985713364986178139618238489354143072848736411023911745721255078838424654431439157638935558411594800350306175560334796020415807658043549317917087614798671514382538171722188236729956987630447894767042828273760730843415053256099385940386135064095114899735632611964728296307703004787274925536869623125320577937872862977528947811971833480957083638330324010291177474484313998214015314381665169668042904626035774404974413006363949833686818689890378612437978244314020502700810299270684269891284142540573672316121502320775066592141646201199399102275960651341094192457408553959868360745278619573511231234416897331142038663956789470026117102053938030728208318177243892376652736830735882723751462637009610938941558384176287564572386745454905864578293051888922566834861213346189652051197515488683667927413488813068890101546042979148863069841969916519618460721086081533702339431163152280165306916554159759603532233639645398436986414568649051882927625374465937284549539369031440865857370801454660526931345731752058341775175469888574122335313905295413832756339892739787270966041376145133034546063597942087628634074619488680480828163785471822368916251008180909668743778407099870151096433350983553378774910897312447676815191172526982657362816270107131218798367215605835289016405317084024257598063201530968214251911570007484522304124422224072221732989079279093631366767163243632214394910091891315116291506709971693658887699902678402182181801945272820073195414130695810313014967370932246892079429978339384890979071255117498669197384341552903049996937138379337982069401140882493383310296128382041120066558019196417734667079321113742913982040689313049565254318734355161892707850016311523477688516614465345842835586224429510032872316028923322087444523303117787032463692554495687842555408832576344538896510477806734580911547761421678678516500193698484038540381135982225474481826769145384657213440149245488359956932052274852472287396593363347684662106918923633700399914866107578628313743581495936674917280468461294873411728331058398033786665533271262265423029021740338522816664373730134875251464622046611661913517329763044804256348547220590497035922720891252392040629192368536474105626627090782873856699035142770003387052485863503783021071451523101802790013349129379071669544020744216455698912428}
19490  40826376521140274333367305691853397851500035494036620730589404008626137: {136381,194830,233796,253201,369949,428494,662014,739822,836221,1090712,1185169,1206334,1227051,1301341,1323892,1417441,1460775,1558160,1594654,1752930,1790596,1827454,1869792,1996861,2024984,2103516,2112529,2257012,2278107,2292622,2370094,2602414,2757214,3035281,3212715,3426896,3494929,3761854,3796455,3855258,3916174,4049552,4119796,4147534,4224622,4296541,4497339,4555746,4584772,4639009,4770395,5208349,5322001,5353975,5435581,5546955,5724474,5756312,5889181,5916752,6424770,6441796,6475851,6656346,6677867,6680209,6687704,6814850,6853088,6912622,6948291,7523667,7677022,7709724,7804129,8028049,8177820,8271775,8294212,8349627,8363389,8723008,8756596,8820622,9201022,9397731,9478424,9539810,9656974,9735500,9813384,9884734,9926130,10339822,10407512,10587872,10642894,10663227,10794334,10802749,10912801,11040057,11187775,11447772,11682600,11708451,11775115,11777134,11900029,11911356,11956215,12199539,12397931,12461440,12681934,12753296,12899991,12905092,13142925,13283854,13359022,13425330,13628300,13748881,14019120,14034814,14130138,14320352,14347458,14953728,15044312,15148669,15199732,15307774,15446055,15469969,15606622,15771510,15897361,15969944,15979822,16110396,16353960,16475792,16822944,16854781,16924851,17189355,17384161,17394334,17444224,17487172,17711330,17770215,17911741,17966187,18114467,18192295,18210622,18335312,18398205,18437521,18506974,18535266,18610779,18647329,18925812,18954896,19066081,19170589,19180371,19320622,19379389,19469000,19587901,19624752,20107921,20500654,20626141,20627226,20981114,21099995,21253596,21324258,21529822,21603214,21622251,21823294,21830754,21902625,21965089,22077846,22578961,22811331,22833775,22992555,23017631,23291869,23354264,23359822,23362800,23494909,24001249,24062619,24525392,24920320,25176095,25301900,25319994,25740775,25809169,25877810,25897267,25977454,26108221,26273547,26283150,26339374,26564932,27400530,27495229,27575427,27591066,27634187,27711022,28035360,28085341,28281469,28358734,28645975,28753239,28770529,28789822,29063101,29227232,29362215,29435374,29646301,29793454,29904384,29940555,29973020,30134379,30142850,30211314,30222622,30226909,30362280,30852867,30865294,30888930,30901009,31053372,31073367,31092961,31319696,31476001,31539780,31571581,31674855,31936592,32333629,32386432,32415362,32532824,32880636,32882330,32902141,32948192,33642432,33786512,33970827,34157565,34190452,34218589,34375170,34871521,34964509,35101835,35116654,35234658,35609691,35819614,35928666,35960014,35965850,35967624,36171420,36241779,36350689,36434736,36599427,36666848,36670071,36717601,36968300,36992029,37066716,37804899,37847736,38009826,38058334,38582848,38685022,38804989,38952914,39102094,39173615,39253729,39343261,39458796,39477410,40003774,40142254,40143207,40463577,40626039,40702571,40764622,40765981,40945331,40989078,41040814,41102859,41250204,41455295,41558161,41567187,41653784,42122202,42518461,42562712,42578703,42603411,42818600,43055092,43144975,43159020,43209255,43241134,43405704,43446574,43531131,43821415,43925374,43969667,44361960,44374852,44583421,44744987,44753629,44948734,45152974,45400899,45768829,45900622,46021009,46036288,46089872,46307660,46405667,46510894,46556931,46568692,46606909,46690321,46741827,46860507,46917022,47008338,47187454,47189281,47234955,47319424,47372892,47520481,47525134,47883051,47929822,47932861,48170925,48343441,48755332,48831417,48931975,49019367,49077949,49341694,49542814,49597131,49746354,49907205,49967761,50106855,50218795,50383952,50441531,50529469,50613022,50928529,51087649,51304799,51369796,51382320,51546094,51612622,51773970,51790824,51822775,51851106,51945022,52028859,52210654,52350241,52394619,52402215,52484151,52585698,52837499,52896829,53234352,53406472,53439889,53447312,53517181,53726907,53931022,54304055,54326494,54807808,54947667,54984334,55123681,55225568,55426081,55569192,55575022,55647020,55704196,55841655,55871231,55895696,55902622,55952509,56134547,56164414,56177041,56396300,56556622,56612215,56681946,56846749,56939619,56994781,57143854,57363601,57469534,57584029,57622107,57805110,57860596,58095841,58146530,58264677,58444174,58493330,58718370,59221850,59470019,59564432,59888646,59894941,60082281,60128226,60178621,60262554,60382654,60447022,60620312,60672289,60882781,61162429,61658784,61795054,62032179,62128764,62187330,62370622,62515341,62516199,62543389,62632928,62768667,62813810,62882658,62969331,63087709,63425569,63761629,63921410,63962401,64229089,64329419,64421355,64428349,64560829,64659934,64809055,65022241,65164866,65284321,65430911,65607694,65798495,65848827,65920316,65992664,66153800,66174622,66293810,66300051,66333152,66489022,66776424,67009986,67053934,67275255,67528381,67675560,67703095,67934658,68091169,68153341,68197851,68292935,68367022,68524861,68709649,68716112,68881274,68893789,69138301,69260439,69300622,69366132,69404531,69744541,69775836,69859054,69921022,70104829,70191996,70225732,70292494,70462044,70478014,71066220,71111569,71157022,71526525,71760272,71809681,72040081,72059330,72079822,72187264,72326461,72404715,72489599,72552459,72554269,72631774,72753796,72999022,73006429,73292570,73365694,73398289,73914622,74006941,74158174,74241747,74280721,74389729,74423025,74624796,74887294,75123477,75376572,75567167,75622621,75768715,75803968,75818955,76017851,76135005,76146781,76250749,76294960,76310247,76705692,76766269,77173501,77200211,77231696,77305626,77368179,77425681,77524455,77526049,77586895,77770866,78081794,78092715,78126339,78269629,78465181,78498334,78611089,78682562,78958194,78975454,79235869,79342955,79384560,79552572,79567249,79848481,80122259,80192210,80357341,80578174,80585761,80730306,80873552,81168814,81210672,81243714,81463534,81481441,81525469,81613309,81632759,81667227,81690535,81699022,81951522,82048189,82065171,82134301,82345294,82390909,82692752,82896349,83072171,83223454,83298896,83391421,83398654,83561900,83748622,83755921,83955901,83981614,84272494,84311329,84546707,84676864,84890749,84957170,85150625,85279464,85305361,85453969,85545887,85638109,85747729,85831830,85892881,86250721,86371975,86394584,86412574,86471196,86585134,86705149,86823506,86885658,86910781,87147409,87642589,87739681,87804049,87951084,87970359,88074622,88302814,88519915,88554001,88674961,88933492,89147281,89307630,89417306,89433121,89439934,89480762,89496622,89545441,89751412,90006094,90089761,90142609,90376861,90655249,90922458,90982746,91020829,91139089,91316300,91362006,91460641,91470622,91553952,91570015,91789501,91807054,91895521,91899170,92102161,92104975,92108387,92455969,92512669,92550109,92678881,92856721,92925841,92959969,93029346,93093601,93104274,93147022,93206749,93238429,93269821,93327515,93369454,93472730,93610129,93648191,93651709,93706141,93711258,93719569,93912349,93948961,93996769,93997850,94031869,94077661,94144189,94171880,94187101,94239121,94289341,94429201,94477774,94537309,94551314,94590481,94619281,94653661,94808209,94839709,94843921,94860049,94949149,94952029,94957969,94960669,94964449,95029534,95211546,95261472,95600267,95637387,95838231,95939397,96230652,96377347,96948094,96970139,97193907,97672467,97775531,98028642,98089822,98309667,98401820,98954974,99074692,99149330,99152872,99224494,99387491,99923374,...,4794028975218838695558859885622115670447909121532964199814982095008110805072776675741736376068877556390287502238920402869023110608678316324912152402349434833765521294973061091988007156419199369230542483726403794101171028868628443935519012963039769679370723699037077227528800881065675619436534083962388415923146459589031292272542655287091292780445176406629082143218504927111622991177368988940264693366174969415856348673319720705299114528136865673672460318978036720921494758699280819977647110175648483356207760469681065848620981282949726768420340065022100727583012360078164860433635013018778670825500087220954025793067174020752809080622933825850161408756410311477476659616996916445218136555335575447422152661159593756607180755993459610345921435954124393565629381171086835646328243236333126233471781269220045164989755088262777241582978570047479267209427357734031214609273104616535867618581882618257636981647158736458403337617392200525459263340502194030623711487065323976875631422198007271573807257583282355094935481445671842150564242410641096265122579884149078910579202596142672349603448917947092444461554507180912388305304434687980866906809294466293421717957750221435625457495486015436766211726470997321022971572497754502064356939053661607461619509545924750530228034835567918656967366471030754051215448906026404836926213810860508474182253481162599888212469301799098653413940977011641288686112830939802541117917929360266846851625345996713057995935184205039175653080907046092312477265865838564979105246103824085627193955514416408412337576264431346858580118182358796867439577833383850252291820019284478076796273233025501891120233219603335152319064468723294604762954874779427691081629122300553509146744728420247960374831239639405298350459468097655479621852973577824391438061698905926824309053547161298786056202181990790397018597628087512662763204832861183502970857943120749134509839109680906449062064217699551819095396913131442951111929233020721242245678207733553374376512271364503115667610649805226644650026475330068162366345968671515222786758790473986044224405160696828197550823408752933524607975626036386397094802296452321377867355011226783456186633336108332599483618918640447050150744865448321592365137836972674437260064957540488331549854017603273272702917909230109793121196043715469522451056398370338119144967509077336468606882676248003796076512329354574995405707569006973104101711323740074965444192573061680099837028794626602000618981670614370973061033969574347881478101532742839061775024467285216532774921698018764253379336644265049308474043384983131166784954676680548695538831743531763833113248864516808344765716710101871367321642132518017774750290547726057810571703973338211722740153718076985820160223868232539935398078412278708431094890045021526993160378385450550599872299161367942470615372243905012375920702691942310117592496587597050679998299906893398134543532610507784224996560595202312877196933069917492870275994644567206384522820830885745553884081336878588060943788552804711158439940636174310785048552714155005080578728795255674531607177284652704185020023694068607504316031116324683548368642}
19491  40986800495793641876257322229562059318876713768980054808218499604529807: {38978,292245,311728,350694,642741,954373,993021,1109733,1363390,1636068,1654865,1771861,1809501,1947700,1985838,2238245,2337240,2355749,2391981,2493056,2531230,2629395,2685894,2741181,2804688,2821265,2998534,3037476,3155274,3385518,3438933,3543358,3555141,3639581,3903621,4135821,4283620,4922621,5036773,5061940,5140344,5149745,5177158,5623073,5642781,5730965,5782887,5851741,5874261,5996452,6074328,6179694,6221301,6336933,6578494,6833619,6877158,7195390,7395940,7632632,7837141,8052245,8293621,8359630,8566360,8586711,8634468,8875128,9106573,9264388,9351121,9611758,9637155,9662694,9984519,10031556,10046861,10222275,10279632,10367765,10368933,10903760,10945745,11132836,11159134,11325941,11450749,11515533,11564586,11848030,12169375,12266730,12441318,12530308,12604229,13009390,13084512,13134894,13163773,13230933,13234840,13262854,13544801,13801533,13973701,14217636,14309715,14416318,14485461,14603250,14663038,14720076,14827101,14889195,15263696,15397681,15509733,15522173,15576800,15611268,15824974,15873493,15881808,15941620,15964341,16043398,16131365,16191501,16266052,16343153,16585534,16996678,17035375,17171658,17199988,17498321,17523900,17665701,17867034,17900440,18319661,18671269,18692160,18805390,18840184,18983789,18999665,19022901,19129944,19357638,19925781,19938304,19962430,20038533,20137995,20434981,20442450,20490814,20594740,20994101,21028680,21052221,21195207,21423982,21459718,21480528,21521187,21530069,21726094,21805280,21858965,22278181,22430592,22566468,22799598,22802021,22919140,22961661,23091569,23409933,23419421,23657265,23693620,23742238,23954916,23969733,24165594,24336250,24439441,24530940,24713688,24814372,25234416,25573828,25882861,26057614,26091501,26166336,26230758,26566995,26581873,26764894,27315933,27322798,27360701,27404734,27502968,27760461,27802899,27944518,28338128,28388718,28405198,28432344,28466221,28829668,28980933,29107672,29192830,29203500,29437128,29563198,29785678,30270382,30415108,30656740,30750981,30940839,31150400,31471671,31627375,31743718,31880394,31986387,32083492,32294733,32404821,32734941,32746131,33068158,33116769,33198533,33206165,33263441,33759992,34689478,34933342,35031396,35039733,35044200,36447061,36534040,36767236,36788088,36826894,37242373,37338694,37380480,37389581,37466275,37952850,37979991,38003669,38337652,38418694,38816715,38966181,39105838,39149620,39424725,39509061,39668813,39847398,39872512,39920740,39926069,40179172,40281752,40328638,40483040,40526189,40666030,41100795,41137156,41185240,41359054,41386599,41404496,41431156,41566533,41681758,42053040,42233140,42538101,42738065,43184733,43840848,43872781,44085958,44153061,44551774,44690181,44856576,44861518,44959530,45214275,45294436,45316971,45333933,45543420,45833560,46210375,46297941,46333395,46580058,46645253,46730663,46766398,46906829,46979544,47309670,47464069,47479588,47904888,47956832,48060373,48228560,48302981,48322372,48425998,48579648,48623043,48799236,48873838,48893428,48908734,49320954,49323495,49358014,49400038,49422288,50001713,50406532,50463648,50679768,50852101,51058453,51285678,51562755,51880894,52067230,52118878,52348081,52611728,52674981,52849381,52851987,53042773,53203390,53523250,53524276,53729421,53818865,53892999,53940021,53948775,53951436,54168052,54257130,54652104,54803812,55000272,55422916,55452450,55468565,55600074,55836661,56162936,56412269,56764241,56771604,56804548,56845349,57014739,57087501,57304273,57545360,57612340,57743581,57874272,57884575,58027533,58041508,58210865,58211782,58429371,58653141,59149280,59188194,59216115,59799973,60005661,60126598,60213381,60269521,60534532,60598133,60944165,61146598,61146933,61483617,61561221,61875306,62075908,62322436,62480676,62677784,62790238,62979940,63163856,63183303,63844068,64212245,64227900,64582638,64647701,64738530,64861701,65108556,65169861,65359156,65546542,65888061,66129508,66206213,66328472,66542940,66562278,66758090,66809140,66821381,67423101,67437413,67577734,67666261,67729461,68509760,68850933,69031960,69054432,69134808,69371812,69461490,69558775,69630245,69766341,69853038,69859492,69869620,69978868,70114264,70375533,70452358,70495375,70512507,70764358,70781181,70979136,71059338,71287701,71408878,71635876,71752294,71894733,72325745,72356158,72871213,72886534,73132998,73263556,74012541,74092256,74135141,74314221,74455540,74619531,75508829,75575928,75595261,75775390,75919492,75919533,76114021,76829476,77054694,77073480,77319141,77418933,77660955,77686236,77776659,77917533,78291160,78315981,78860158,78878547,79412813,79851528,80109708,80170968,80350072,80550214,80896533,81489741,81558013,82084558,82211712,82400395,82476501,82490830,82692250,82709572,82838352,82916440,83353788,83354932,83362533,83470530,83556294,83691556,83839678,83843544,83853933,83856721,83959108,84157469,84246621,84594450,84834933,85022919,85341574,85715781,85892381,85895140,86204301,86707665,86758763,86790894,86886488,87219795,87530974,87666261,87739995,87782165,87798436,88058749,88077555,88400068,88803742,88832775,89035232,89346648,89437414,89700340,89832969,90192339,90234080,90385429,90393831,90573981,90579544,90670533,90901741,90930468,90942245,91367758,92347252,92488176,92692581,92767301,93034448,93193146,93280995,93555933,93589328,93949392,93994109,94220715,94323987,94754960,94918342,95368700,95454373,95540561,95882115,96539620,96736612,96772913,96973774,96976462,96989901,97669781,97747299,98369638,98411541,98477041,98880474,98988996,99230700,99261933,99440715,99499728,99733533,...,7191043462828258043338289828433173505671863682299446299722473142512166207609165013612604564103316334585431253358380604303534665913017474487368228603524152250648281942459591637982010734628799053845813725589605691151756543302942665903278519444559654519056085548555615841293201321598513429154801125943582623884719689383546938408813982930636939170667764609943623214827757390667434486766053483410397040049262454123784523009979581057948671792205298510508690478467055081382242138048921229966470665263472725034311640704521598772931471924424590152630510097533151091374518540117247290650452519528168006238250130831431038689600761031129213620934400738775242113134615467216214989425495374667827204833003363171133228991739390634910771133990189415518882153931186590348444071756630253469492364854499689350207671903830067747484632632394165862374467855071218900814141036601046821913909656924803801427872823927386455472470738104687605006426088300788188895010753291045935567230597985965313447133297010907360710886374923532642403222168507763225846363615961644397683869826223618365868803894214008524405173376920638666692331760771368582457956652031971300360213941699440132576936625332153438186243229023155149317589706495981534457358746631753096535408580492411192429264318887125795342052253351877985451049706546131076823173359039607255389320716290762711273380221743899832318703952698647980120911465517461933029169246409703811676876894040400270277438018995069586993902776307558763479621360569138468715898798757847468657869155736128440790933271624612618506364396647020287870177273538195301159366750075775378437730028926717115194409849538252836680349829405002728478596703084941907144432312169141536622443683450830263720117092630371940562246859459107947525689202146483219432779460366736587157092548358890236463580320741948179084303272986185595527896442131268994144807249291775254456286914681123701764758664521359673593096326549327728643095369697164426667893849531081863368517311600330061564768407046754673501415974707839966975039712995102243549518953007272834180138185710979066336607741045242296326235113129400286911963439054579595642203444678482066801032516840175184279950004162498899225428377960670575226117298172482388547706755459011655890097436310732497324781026404909909054376863845164689681794065573204283676584597555507178717451263616004702910324014372005694114768494031862493108561353510459656152566985610112448166288859592520149755543191939903000928472505921556459591550954361521822217152299114258592662536700927824799162382547028146380069004966397573962711065077474696750177432015020823043308247615297645749669873296775212517148575065152807050982463198777026662125435821589086715857555960007317584110230577115478730240335802348809903097117618418062646642335067532290489740567578175825899808448742051913705923058365857518563881054037913465176388744881395576019997449860340097201815298915761676337494840892803469315795399604876239305413991966850809576784231246328618330826122005317882091415682829207066737659910954261466177572829071232507620868093192883511797410765926979056277530035541102911256474046674487025322552963}
19492  41147850357706804844595448118452533607856575528262632234804306087338201: {58467,272762,389660,447787,467592,506402,526041,564427,739898,856988,1146547,1324028,1378891,1479644,1672442,1726867,1958491,2045085,2181424,2189827,2370338,2412668,2434625,2454102,2602682,2647784,2834882,2921550,2978757,3116320,3189308,3342187,3505860,3581192,3654908,3686491,3739584,3796845,3993722,4028841,4049968,4207032,4225058,4487347,4497801,4514024,4556214,4585244,4732911,4740188,5078277,5204828,5315037,5354525,5398291,5514428,5965291,6070562,6327425,6425430,6678553,6756067,6853792,6989858,7495565,7523708,7592910,7710516,7765737,7832348,7991587,8099104,8239592,8295068,8449244,8593082,8773291,8994678,9107227,9111492,9169544,9244925,9269541,9278018,9329491,9540790,9867741,10315737,10416698,10644002,10707950,10793085,10871162,11093910,11207107,11448948,11512624,11580485,11778362,11833504,12301867,12539445,12849540,12883592,12951702,13312692,13355734,13360418,13375408,13497787,13629700,13706176,13825244,13896582,13916045,13930507,14254291,14417637,14469787,14494041,15047334,15328891,15354044,15419448,15608258,15662885,16056098,16355640,16485161,16543550,16588424,16699254,16726778,16738701,17346879,17446016,17513192,17641244,17667667,17772045,17983891,18400095,18402044,18661977,18795462,18956848,19033291,19079620,19313948,19346707,19471000,19514085,19626768,19702341,19769468,19852260,19894281,19927025,20075491,20332565,20679644,20815024,21110491,21175744,21285788,21316627,21326454,21499985,21588668,21605498,21624477,21625291,21825602,21904875,21994557,22080114,22342987,22375550,22895544,22955347,23365200,23416902,23550230,23554268,23666491,23737461,23800058,23822712,23912430,24065097,24399078,24676291,24795862,24877387,24878301,24922880,25363868,25469213,25495017,25506592,25743425,25757487,25799982,25810184,25878547,26177491,26285850,26567708,26718044,26800551,26850660,27169291,27256600,27497762,27859267,28038240,28069628,28153891,28208085,28260276,28349947,28640704,28643491,28648925,28694916,29036457,29539993,29617025,29907456,29943645,30088624,30297338,30391147,30399464,30605861,30615548,30663675,30736221,30892110,30939938,31017965,31213244,31543020,31794722,31939888,31959644,31967285,32020291,32135973,32189577,32210587,32220792,32589141,32707920,32951584,33628627,33645888,33709562,33849702,34199397,34378710,34564987,34768322,34788668,34888448,34974344,35030467,35246533,35422660,35540430,35613357,35823482,35932374,36037085,36228934,36248391,36384590,36421244,36504375,36507907,36670624,36796410,36875042,37013948,37070532,37148491,37221558,37294658,37851624,37909792,38018885,38132162,38320925,38341178,38360742,38641244,38758778,38938000,39086421,39175802,39249504,39346137,39675547,40031947,40104365,40147341,40215842,40917907,40984197,41001308,41006107,41107101,41252282,41254452,41884147,41916777,41962228,42199990,42507192,42583077,42607797,42648516,43059644,43187707,43206428,43244502,43646588,43661508,43789245,43790491,43805250,43930178,44047747,44155692,44218891,44344797,44678517,44815627,45157922,45405573,45622662,45667550,45746227,45959045,45985110,46035262,46583738,46584667,46708528,46719644,46725600,46751491,46989818,47001187,47333107,47581291,47615577,47820591,47922065,48002498,48125238,48649267,48937025,48975427,49050784,49142569,49462507,49602237,49624291,49840640,49900925,50027491,50223965,50352190,50603800,50639988,51421445,51481550,51618338,51755620,51788945,51794534,51954908,52016491,52034217,52216442,52400013,52547094,52566300,52678748,52791425,53129864,53420707,54121001,54573067,54801060,54843061,54990458,55150854,55182132,55240341,55268374,55422044,55859491,56008041,56070720,56170682,56383147,56562938,56618045,56717468,56929275,57291950,57506478,57541058,57579644,57628041,58037413,58126202,58442491,58454464,58658757,58659787,58724430,58870748,59164291,59292602,59349485,59586908,59771097,59808768,59878891,59881110,59946040,60233491,60268758,60285700,60374827,60402965,60422628,60445244,60453818,60492957,60724560,60937291,60999045,61077187,61116785,61349981,61705734,61730588,61777860,61802018,61822013,62038581,62106744,62146734,62185922,62185987,62444317,62522637,62528707,62639392,62869627,62952002,63005491,63008165,63079560,63143162,63349710,63478747,63873184,64547227,64667258,64772864,64830724,64877347,65065648,65761272,65764660,65804282,65896384,66128937,66308491,66500947,66827661,66905345,67284864,67292277,67439295,67573024,67704787,67710065,67941654,68218469,68315130,68380904,68437178,68504765,68750340,69005107,69278645,69310027,69733891,69743042,69854347,69870087,69929018,70034491,70149597,70203670,70233308,70306313,70452307,70469316,70964505,71005685,71218891,71219382,71639228,71800291,71857332,71915707,71920028,71931700,71935248,72015425,72202987,72342840,72483558,72488467,72551885,72638997,72701378,72869472,73198854,73222291,73310757,73333696,73340142,73363101,73435202,73936600,73981431,73984058,74037021,74053891,74100057,74133432,74218267,75509947,75609798,75668165,75695472,76019652,76025677,76116668,76451491,76811347,76928517,77165696,77370044,77594885,77609978,77720491,77821341,77903045,77905828,78100845,78178317,78204188,78215491,78347230,78507458,78557707,78686522,78703291,78724925,78917592,78944491,78954820,79257101,79279147,79421491,79516027,79751107,79805085,80007548,80030827,80284508,80284875,80286414,80491267,80927154,81168427,81252078,81385695,81405142,81529244,81531962,81698945,81890662,81978156,82081628,82205718,82500408,82661885,82853227,82910590,83116322,83134374,83178675,83307568,83308627,83400111,83511425,83615741,83715067,84114307,84244404,84389491,84776491,84891187,84967291,85036922,85080907,85125424,85157406,85206822,85637200,85712491,86110184,86181427,86289950,86318040,86323267,86418510,86482268,86498947,86714765,86811408,86893148,87001541,87062262,87317673,87324365,87337025,87449491,87473585,87515227,87547987,87642830,87850748,87871627,87939334,88558291,88649227,88723920,88749704,88769467,88782291,89152291,89166842,89238907,89489974,89507258,89544845,89717491,89854291,89897468,90042787,90189897,90201547,90305947,90305948,90331867,90732677,90761491,90801798,90810667,91170307,91236613,91537658,91579445,91719897,91801244,91967347,92042018,92072576,92117893,92172187,92179744,92212291,92252107,92350387,92503891,92615320,92652787,92689291,92811334,92812959,93021788,93069425,93113862,93137384,93213818,93234187,93380642,93464227,93483654,93537307,93691747,93721014,93834044,93875707,93998467,94016676,94057147,94185357,94201291,94323547,94371427,94374908,94378562,94469910,94470427,94512547,94638848,94642291,94689667,94708891,94727467,94745784,94768291,94784333,94795291,94805587,94820491,94873627,94885291,94899365,94946491,94981267,94984507,95040962,95050268,95513633,95610109,95766102,95859644,95865722,96036845,96341850,96387269,96686882,96873957,97107795,97510664,97662834,97863950,98038734,98155898,98319813,98683388,99085628,99194262,99492708,99814410,99843417,99935522,...,9588057950437677391117719771244231340895818243065928399629964190016221610145553351483472752137755112780575004477840805738046221217356632649824304804698869667531042589946122183976014312838398738461084967452807588202342057737256887871038025926079539358741447398074154455057601762131351238873068167924776831846292919178062584545085310574182585560890352813258164286437009854223245982354737977880529386732349938831712697346639441410598229056273731347344920637956073441842989517398561639955294220351296966712415520939362131697241962565899453536840680130044201455166024720156329720867270026037557341651000174441908051586134348041505618161245867651700322817512820622954953319233993832890436273110671150894844305322319187513214361511986919220691842871908248787131258762342173671292656486472666252466943562538440090329979510176525554483165957140094958534418854715468062429218546209233071735237163765236515273963294317472916806675234784401050918526681004388061247422974130647953751262844396014543147614515166564710189870962891343684301128484821282192530245159768298157821158405192285344699206897835894184888923109014361824776610608869375961733813618588932586843435915500442871250914990972030873532423452941994642045943144995509004128713878107323214923239019091849501060456069671135837313934732942061508102430897812052809673852427621721016948364506962325199776424938603598197306827881954023282577372225661879605082235835858720533693703250691993426115991870368410078351306161814092184624954531731677129958210492207648171254387911028832816824675152528862693717160236364717593734879155666767700504583640038568956153592546466051003782240466439206670304638128937446589209525909749558855382163258244601107018293489456840495920749662479278810596700918936195310959243705947155648782876123397811853648618107094322597572112404363981580794037195256175025325526409665722367005941715886241498269019678219361812898124128435399103638190793826262885902223858466041442484491356415467106748753024542729006231335221299610453289300052950660136324732691937343030445573517580947972088448810321393656395101646817505867049215951252072772794189604592904642755734710022453566912373266672216665198967237837280894100301489730896643184730275673945348874520129915080976663099708035206546545405835818460219586242392087430939044902112796740676238289935018154672937213765352496007592153024658709149990811415138013946208203422647480149930888385146123360199674057589253204001237963341228741946122067939148695762956203065485678123550048934570433065549843396037528506758673288530098616948086769966262333569909353361097391077663487063527666226497729033616689531433420203742734643284265036035549500581095452115621143407946676423445480307436153971640320447736465079870796156824557416862189780090043053986320756770901101199744598322735884941230744487810024751841405383884620235184993175194101359996599813786796269087065221015568449993121190404625754393866139834985740551989289134412769045641661771491107768162673757176121887577105609422316879881272348621570097105428310010161157457590511349063214354569305408370040047388137215008632062232649367096737284}
19493  41309528531358002854247827674185976371602304235245681578376594297010007: {77956,409143,487075,584490,623456,701388,759603,1071235,1109847,1285482,1655035,1849555,1908746,1986042,2219466,2316811,2355991,2508663,2726780,2784067,3015835,3133543,3272136,3309730,3543722,3555507,3619002,3681153,3895400,3904023,3949771,3971676,3986635,4067767,4252323,4301323,4382325,4476490,4568635,4674480,4711498,4783962,4986112,5062460,5258790,5371788,5482362,5609376,5642530,5731555,5817643,5925235,5990583,5997068,6074952,6284611,6310548,6337587,6506035,6771036,6834321,6877866,6893035,7086716,7110282,7209643,7279162,7807242,8023351,8271642,8567240,8767891,9105843,9404635,9587371,9638145,9790435,9845242,10073546,10123880,10280688,10287463,10299490,10354316,10368835,10484787,10561555,11246146,11273143,11285562,11327107,11389365,11461930,11565774,11703482,11748522,11873563,11992904,12148656,12359388,12442602,12605527,12673866,12889623,12967147,13031491,13156988,13385203,13492017,13667238,13754316,13917027,14205523,14311185,14390780,14514871,14791880,14895907,15138307,15265264,15324043,15523771,15625047,15674282,15966003,16061925,16104490,16306743,16537483,16587242,16640865,16719260,16861207,17037125,17132720,17173422,17268936,17281555,17348311,17470267,17500123,17667543,17750256,18213146,18321547,18528776,18702242,19192555,19213303,19223516,19274310,19325388,19427553,19475251,19556947,19969038,20033601,20040627,20063112,20093722,20444550,20559264,20735530,20737866,20844873,20845171,20996263,21532291,21807520,21891490,21956407,22051555,22265672,22318268,22435387,22571001,22583911,22651882,22901498,23002555,23031066,23093947,23129172,23228227,23412387,23669323,23696060,23849525,24079123,24084147,24142435,24217987,24338750,24533460,24684091,24711835,24815325,24882636,25048881,25060616,25090167,25208458,25444627,25849555,26018780,26169024,26174647,26269788,26327546,26461866,26465371,26469680,26525708,26599531,26607235,26947843,26985835,27089602,27603066,27947402,28193193,28435272,28619430,28832636,28970922,29206500,29326076,29332531,29440152,29442835,29654202,29778390,29900023,30527392,30579607,30602551,30795362,31019466,31044346,31153600,31222536,31649948,31686787,31704835,31746986,31763616,31883240,31928682,31955971,31989681,32086796,32262730,32383002,32408247,32532104,32686306,32738403,33120171,33171068,33209635,33397555,33563325,33922123,33993356,34070750,34323907,34343316,34399976,34638967,34996642,35047800,35087035,35125353,35233447,35325345,35331402,35488087,35700087,35734068,35800880,35868645,36598617,36639322,36745027,37009783,37176787,37193793,37342538,37384320,37610780,37680368,37967578,37999330,38045802,38049283,38259888,38269435,38428291,38699973,38715276,39016555,39213463,39428775,39672907,39851562,39876608,39924860,39949555,40077066,40275990,40869962,40884900,40950547,40981628,41050747,41189480,41246643,41988202,42057360,42104442,42390414,42679591,42847964,42919436,42961056,43042374,43060138,43221163,43452188,43485835,43610560,43717930,44278325,44556362,44861184,44913427,45132936,45446007,45526555,45599196,45604042,45838280,45923322,46183138,46267435,46338165,46409907,46488631,46650067,46819866,46838842,47242327,47314530,47387240,47484476,47692083,47894587,47909832,47939466,48301555,48331188,48496891,48672500,48878882,49061880,49194967,49335187,49427376,49628744,49862167,50468832,50564343,50774553,51147656,51251635,51562411,51568065,51765722,52115228,52152483,52183002,52332672,52452785,52461516,53096791,53133990,53163746,53310645,53450107,53529788,53735223,53760151,53824555,53898561,54008035,54343401,54458083,54558235,54576885,54631866,54645596,54721402,54809468,54818251,55005936,55194615,55312563,55520922,55600567,55605798,55832337,55889036,55941987,56418091,56676256,56777436,56810396,56851267,56864688,56932442,57198243,57267991,57511767,57541113,57659336,57961866,58001347,58138167,58215344,58385660,58399555,58407000,58763703,58874256,59126396,59164087,59494483,59571356,59833291,60323763,60540764,60604387,60830216,60918283,61024471,61313480,61501962,61878423,61881678,62300800,62652307,62749147,62943342,63254750,63299985,63442387,63487436,63760788,63972774,64166984,64589466,64694525,64809642,64866753,64943635,65469882,65492262,65707875,65848435,65895267,66136316,66233538,66397066,66412330,66468763,66526882,67094887,67180867,67519984,67736883,68433993,68501325,68793523,68977665,69052893,69277555,69378956,69723427,69866684,69875607,70062792,70079466,70088400,70484727,70896835,71974555,72003747,72187857,72894122,73068080,73446067,73534472,73576176,73588435,73653788,74281891,74483635,74484746,74677388,74760960,74779162,74932550,75346411,75357125,75528285,75556555,75905700,75959982,76007338,76675304,76837388,77163235,77222325,77427507,77633430,77655991,77691801,77932362,78159931,78211676,78299240,78324663,78820641,78849450,78970723,79018122,79337626,79694796,79745024,79841480,79852138,80300107,80358344,80563504,80657276,80966080,81038405,81052378,81332060,81495211,82201590,82205825,82274312,82370480,82485687,82718108,82726281,82773198,82808992,82862312,82902561,83133066,83363516,83967811,84106080,84166291,84256023,84466280,84844407,85076202,85321831,85476130,85809427,85901323,85937925,86259717,86311587,86369466,87189303,87325963,87681696,87745562,87791635,87833611,88086645,88171916,88306122,88938903,89103548,89237707,89380362,89549035,89713152,89723036,89821665,89897143,89900035,89914625,89919060,90320791,90403137,90428550,90588872,90633942,90667866,90680727,91086840,91235827,91667120,92420750,92558601,92595882,92666790,92703027,93160116,93220101,93278883,93290506,93461326,93463927,93532796,93813658,93959088,94428003,94619340,94714743,94928138,94959176,95024565,95145835,95550523,95809776,95913664,95997367,96120746,96457120,96605962,96644744,96712555,96851996,97000887,97159296,97246086,97382285,97482343,97598472,97747676,97755235,97786856,97817468,97928011,98641908,98646990,98693525,98706423,98716028,98800076,98844576,99458827,...,14382086925656516086676579656866347011343727364598892599444946285024332415218330027225209128206632669170862506716761208607069331826034948974736457207048304501296563884919183275964021469257598107691627451179211382303513086605885331806557038889119309038112171097111231682586402643197026858309602251887165247769439378767093876817627965861273878341335529219887246429655514781334868973532106966820794080098524908247569046019959162115897343584410597021017380956934110162764484276097842459932941330526945450068623281409043197545862943848849180305261020195066302182749037080234494581300905039056336012476500261662862077379201522062258427241868801477550484226269230934432429978850990749335654409666006726342266457983478781269821542267980378831037764307862373180696888143513260506938984729708999378700415343807660135494969265264788331724748935710142437801628282073202093643827819313849607602855745647854772910944941476209375210012852176601576377790021506582091871134461195971930626894266594021814721421772749847065284806444337015526451692727231923288795367739652447236731737607788428017048810346753841277333384663521542737164915913304063942600720427883398880265153873250664306876372486458046310298635179412991963068914717493263506193070817160984822384858528637774251590684104506703755970902099413092262153646346718079214510778641432581525422546760443487799664637407905397295960241822931034923866058338492819407623353753788080800540554876037990139173987805552615117526959242721138276937431797597515694937315738311472256881581866543249225237012728793294040575740354547076390602318733500151550756875460057853434230388819699076505673360699658810005456957193406169883814288864624338283073244887366901660527440234185260743881124493718918215895051378404292966438865558920733473174314185096717780472927160641483896358168606545972371191055792884262537988289614498583550508912573829362247403529517329042719347186192653098655457286190739394328853335787699062163726737034623200660123129536814093509347002831949415679933950079425990204487099037906014545668360276371421958132673215482090484592652470226258800573823926878109159191284406889356964133602065033680350368559900008324997798450856755921341150452234596344964777095413510918023311780194872621464994649562052809819818108753727690329379363588131146408567353169195111014357434902527232009405820648028744011388229536988063724986217122707020919312305133971220224896332577719185040299511086383879806001856945011843112919183101908723043644434304598228517185325073401855649598324765094056292760138009932795147925422130154949393500354864030041646086616495230595291499339746593550425034297150130305614101964926397554053324250871643178173431715111920014635168220461154230957460480671604697619806194235236836125293284670135064580979481135156351651799616897484103827411846116731715037127762108075826930352777489762791152039994899720680194403630597831523352674989681785606938631590799209752478610827983933701619153568462492657236661652244010635764182831365658414133475319821908522932355145658142465015241736186385767023594821531853958112555060071082205822512948093348974050645105926}
19494  41471837450550132754543787207776636386841246115499312228994308235501945: {97445,116934,214313,331109,447833,545524,603353,719909,779320,876735,895574,914009,935184,1012804,1030373,1052082,1128854,1185413,1301609,1379033,1417733,1479796,1713976,1928223,1997273,2074409,2190053,2293094,2648056,2757782,2863119,2959288,2979063,3329199,3344884,3408475,3453734,3725093,3916982,4090170,4362848,4373609,4379654,4740676,4825336,4869250,4908204,4943909,4964595,5057753,5205364,5295568,5315583,5398853,5428503,5436713,5669764,5843100,5957514,5965913,6003653,6232640,6328075,6342953,6378616,6455909,6684374,6714735,6756773,7011720,7067247,7132133,7162384,7175943,7309816,7372982,7479168,7496335,7593690,7888185,7987444,8029733,8057682,8099936,8223543,8414064,8439593,8450116,8463795,8699909,8811353,8858395,8974694,8995602,9028048,9112428,9170488,9465822,9480376,9884933,10156554,10316799,10364009,10409656,10493791,10630074,10665423,10709050,10796582,10915109,10918743,11028856,11710863,11930582,12141124,12407463,12654850,12850860,12942895,12992873,13173893,13357106,13512134,13707584,13979716,14075993,14767863,14991130,15047416,15110319,15185820,15366233,15421032,15449235,15531474,15664696,15971909,15983174,16198208,16212679,16327109,16446235,16479184,16590136,16858409,16869219,16898488,16928343,16929113,17186164,17192895,17348661,17458373,17546582,17555223,17622783,17669573,17985833,17988475,17989356,18091109,18214454,18222984,18336473,18339088,18489850,18539082,18556036,18658982,18663903,18721253,19010799,19070213,19081580,19383593,19482463,19557413,19735482,20112293,20181509,20500857,20630633,20631474,20833396,20899075,21147173,21288004,21415900,21586170,21627653,21730409,21742324,21833093,21928039,22187820,22414214,22583909,22897896,23025248,23160970,23263109,23364713,23511423,23556724,23667008,23702873,24029395,24156735,24603734,24679013,24779609,24880133,24880863,25078890,25699080,25760133,25767184,25881413,25903404,26114009,26180393,26213573,26625384,26677253,26711468,26720836,26750816,26995574,27259400,27319719,27369833,27412352,27650488,27793164,27832090,27861014,27897835,28053363,28157033,28353113,28465591,28508582,28835274,28842053,28911465,28939574,28988082,29555909,29620075,29717609,29953557,30094668,30099979,30140583,30657782,30666825,30708088,30779813,30838896,31004009,31103295,31106799,31216516,31325770,31642409,32023913,32112196,32523475,32711280,32837235,32909609,32970322,32972633,33087100,33157135,33176848,33398508,33453556,33477402,33632453,33977823,34352247,34546599,34693758,34892032,34941509,35026384,35034473,35158313,35251109,35282488,35335334,35405609,35544090,35960153,35967782,36040795,36170563,36508125,36657595,36695513,36800190,36804088,37183193,37323954,37335173,37456613,37590924,37812687,37913696,38066582,38092073,38159240,38603909,38627896,38693414,38942000,39028170,39253536,39352409,39404682,39491319,39538936,39562435,39692799,39704520,39709913,39788562,39854050,40108495,40150982,40391909,40598633,40634403,40665130,40687109,41275109,41359288,41404599,41463835,41626373,41630048,41714009,41921103,42005609,42092933,42220982,42351488,42491695,42571576,42633254,42652908,42929145,42933353,42999970,43177336,43210996,43221593,43248954,43250582,43307909,43425151,43456383,43651204,43795673,43809750,43824293,43989114,44160228,44481303,44667585,44685974,44751100,44754199,44820953,44934233,45103913,45442409,45779753,45791088,45910694,46087973,46193043,46529199,46566519,46618073,46730400,46757093,46784873,46833804,47013475,47100460,47108536,47200613,47255909,47332982,47338793,47474922,47587013,47600116,47620479,47645424,47824860,47893023,47944409,48130194,48394095,48491609,48574503,48798156,49029459,49352582,49495493,49591724,49754774,49756602,49845760,49906075,50033573,50301413,50381609,50451919,50595113,50727736,50938426,50990034,51013184,51106125,51227035,51486850,51514974,51599964,51620368,51757094,52354982,52415333,52494963,52571700,52997103,53065433,53135416,53226439,53436088,53453093,53530409,53559955,53601102,53649295,53701320,54315235,54338582,54513200,54605273,54808409,54958983,54995524,55137413,55490213,55718534,56013807,56076480,56139256,56146111,56307782,56416170,56520552,56687909,56699894,56861033,56951367,56984453,56998995,57068703,57132293,57281408,57286982,57297850,57304409,57378053,57389832,57427109,58072914,58086233,58159109,58328873,58401509,58763609,58835813,59079986,59171813,59234050,59243609,59355595,59777343,59814912,59887290,59910233,60028613,60115599,60177248,60194009,60241193,60264773,60413985,60594676,60782294,60798928,60840625,60945113,61211722,61231096,61304943,61317593,61327350,61472442,61595609,61784220,61879876,61987493,62035930,62216933,62285609,62426488,62559593,62982303,63036293,63086040,63156663,63239513,63487013,63585621,63589444,63879776,63919288,63934570,63961183,64040582,64271946,64342663,64379154,64421174,64423109,64441584,64563561,64577753,64590207,64819973,64907813,65144035,65178282,65415840,65576895,65903168,65951909,66016553,66124133,66637733,66834543,66850373,66912235,67083353,67090891,67257254,67273253,67291776,67419124,67699404,67964009,68306995,68398794,68406063,68481509,68511835,68543273,68757420,68884983,68953193,69034793,69095191,69129974,69156953,69258533,69274707,69536644,69577336,69763433,69776896,69861295,69948688,70060934,70229799,70258263,70313551,70493066,70845320,70971795,71012995,71080860,71131013,71226714,71539673,71646964,71810153,71829413,71864748,71867909,71909199,71925593,71990023,72002393,72059909,72074170,72457868,72496782,72504523,72769180,72842488,72923191,72982075,73008750,73015814,73062379,73288409,73318323,73341248,73474409,73592820,73750084,73844009,73899173,73907995,74027609,74027896,74064233,74141064,74296982,74443116,74464195,74589316,74987333,75201509,75675955,75679193,75703248,75819584,75994409,76037770,76168409,76220453,76264324,76427909,76479593,76641850,76682356,76721484,76822313,77195609,77229353,77282488,77498153,77517556,77581733,77648453,77648583,77731673,77876000,78172842,78243173,78274503,78351604,78499008,78692274,78923909,78971993,79265263,79290713,79351094,79359295,79433093,79480409,79527653,79700985,79745619,79903013,79949609,80058053,80063894,80181509,80208730,80227673,80294682,80411609,80431684,80621827,80821253,81016409,81239909,81284393,81358373,81505733,81798053,81835814,81947799,81968394,82002616,82012214,82082103,82158953,82214202,82401509,82444073,82504564,82508904,82670395,82963109,83089279,83197913,83239109,83280233,83281383,83408697,83416793,83579609,83620133,83768294,83833554,83924456,84140393,84399980,84402473,84564151,84596933,84802373,84917033,84955109,85014384,85166154,85215594,85297032,85398663,85431173,85554533,85563499,85738073,85943909,86119288,86206853,86266073,86375414,86412856,86454233,86489004,86559173,86651909,86723695,86801513,86942799,86961113,86995109,87164009,87275609,87293176,87323016,87331109,87333355,87364313,87408473,87441509,87578490,87580982,87610500,87692393,87767909,87860356,88013273,88095494,88108133,88211431,88264793,88311384,88437782,88481093,88582853,88689594,88733993,88783973,88932713,89001509,89166953,89176613,89263193,89357034,89462693,89631254,89732393,89759909,89896409,89986409,90057833,90137573,90225413,90315844,90355673,90424409,90702533,90735653,90760409,90811146,90883109,91185893,91245324,91279109,91335100,91492133,91492454,91507109,91596293,91618409,91918090,91970220,91990313,92067235,92070524,92252943,92294693,92327513,92675333,92711813,92723909,92741993,92822517,92901509,92959109,93088553,93127109,93167476,93169334,93251033,93314009,93346735,93365609,93417056,93439288,93451200,93451493,93452887,93500933,93502982,93539909,93667483,93749609,93780773,93794009,93828953,93934853,93979636,93991973,94002374,94031813,94074713,94112873,94120409,94164953,94175909,94222553,94229609,94264409,94274693,94389353,94415013,94456409,94505573,94541609,94589273,94631909,94648793,94655909,94660613,94666214,94674533,94683653,94727333,94733609,94747973,94788713,94794091,94840793,94877273,94882125,94885673,94905413,94952933,94978409,94988633,94993193,94996613,94999109,95162582,95231154,95641182,95844130,95906671,95959161,96004996,96046735,96250476,96884199,96990103,97214463,97298534,97764595,97874050,97950854,98101568,98204823,98238393,98285138,98818603,98925014,99204474,99248582,99350307,99407959,99595599,99618495,99681280,99790323,99801850,...,21573130388484774130014869485299520517015591046898338899167419427536498622827495040837813692309949003756293760075141812910603997739052423462104685810572456751944845827378774913946032203886397161537441176768817073455269629908827997709835558333678963557168256645666847523879603964795540287464403377830747871654159068150640815226441948791910817512003293829830869644483272172002303460298160450231191120147787362371353569029938743173846015376615895531526071435401165244146726414146763689899411995790418175102934922113564796318794415773273770457891530292599453274123555620351741871951357558584504018714750392494293116068802283093387640862803202216325726339403846401648644968276486124003481614499010089513399686975218171904732313401970568246556646461793559771045332215269890760408477094563499068050623015711490203242453897897182497587123403565213656702442423109803140465741728970774411404283618471782159366417412214314062815019278264902364566685032259873137806701691793957895940341399891032722082132659124770597927209666505523289677539090847884933193051609478670855097606411682642025573215520130761916000076995282314105747373869956095913901080641825098320397730809875996460314558729687069465447952769119487944603372076239895259289606225741477233577287792956661377386026156760055633956353149119638393230469520077118821766167962148872288133820140665231699496956111858095943940362734396552385799087507739229111435030630682121200810832314056985208760981708328922676290438864081707415406147696396273542405973607467208385322372799814873837855519093189941060863610531820614585903478100250227326135313190086780151345583229548614758510041049488215008185435790109254825721433296936507424609867331050352490791160351277891115821686740578377323842577067606439449658298338381100209761471277645076670709390740962225844537252909818958556786583689326393806982434421747875325763368860744043371105294275993564079020779288979647983185929286109091493280003681548593245590105551934800990184694305221140264020504247924123519900925119138985306730648556859021818502540414557132937199009823223135726888978705339388200860735890317163738786926610334035446200403097550520525552839850012487496697676285133882011725678351894517447165643120266377034967670292308932197491974343079214729727163130591535494069045382196719612851029753792666521536152353790848014108730972043116017082344305482095587479325684060531378968457700956830337344498866578777560449266629575819709002785417517764669378774652863084565466651456897342775777987610102783474397487147641084439140207014899192721888133195232424090250532296045062469129924742845892937249009619890325637551445725195458421152947389596331079986376307464767260147572667880021952752330691731346436190721007407046429709291352855254187939927005202596871469221702734527477699425346226155741117769175097572555691643162113740395529166234644186728059992349581020291605445896747285029012484522678410407947386198814628717916241975900552428730352693738985854992478366015953646274247048487621200212979732862784398532718487213697522862604279578650535392232297780937168832590106623308733769422140023461075967658889}
19495  41634779558446355766250436557395351336638624132913247439412670642005169: {155912,175401,681905,818286,974150,1168980,1246912,1266005,1343361,1402776,1499729,1519206,1578123,1693281,1849745,2142470,2219694,2317049,2570964,2589377,2784353,3290261,3310070,3439641,3699110,3817492,3972084,4136673,4181105,4222169,4438932,4633622,4711982,4807361,5017326,5180601,5453560,5568134,5581289,5875473,5925845,6031670,6135255,6267086,6396089,6506705,6544272,6569481,6619460,7023977,7087205,7087444,7111014,7238004,7303875,7362306,7790800,7808046,7899542,7914929,7943352,7973270,8024177,8135534,8295329,8504646,8602646,8764650,8936271,8952980,9108449,9137270,9195593,9348960,9422996,9567924,9650249,9972224,9984305,10026561,10124920,10248569,10362053,10517580,10562645,10715297,10743576,10964724,11059473,11218752,11285060,11390535,11463110,11635286,11850470,11981166,11994136,12086523,12149904,12228389,12569222,12621096,12675174,13012070,13032833,13166489,13386581,13462041,13493403,13542072,13668642,13706609,13755732,13786070,13861433,14173432,14198733,14220564,14310329,14419286,14516369,14558324,14786177,14897441,15176405,15234831,15400853,15614484,15876761,15945111,16046702,16063575,16194873,16543284,17134480,17350097,17474645,17535782,17895873,18211686,18675113,18809270,18982275,19174742,19215281,19276290,19558961,19580870,19690484,19926881,20035659,20135429,20147092,20247760,20268201,20561376,20574926,20598980,20685929,20708632,20737670,20847317,20969574,21123110,21482705,21766457,21958673,22282769,22486695,22492292,22546286,22571124,22654214,22778730,22923860,23131548,23195045,23297211,23406964,23497044,23747126,23851975,23974761,23985808,24194177,24220481,24297312,24686633,24718776,24885204,25211054,25347732,25447253,25779246,25888193,25934294,25948481,26041745,26062982,26313976,26319873,26587349,26610005,26769875,26770406,26869577,26911961,26984034,27177905,27321681,27334476,27451541,27508632,27734775,27808623,27834054,27988473,28290569,28411046,28622370,28781560,29029742,29445905,29455589,29583760,29603223,29791814,30276614,30530528,30648086,30872177,30947211,31047542,31250094,31348564,31932006,31959269,32112113,32123850,32203577,32208980,32379255,32613486,32783417,33074966,33174484,33281730,33389335,33401045,33438520,33621321,33722414,33799409,34074250,34265440,34346844,34537872,34563110,34596569,34696622,34741455,34940534,35000246,35335086,35500512,35715497,36189377,36426292,36643094,36691073,36905601,37057552,37250129,37404484,37448021,37618335,37780169,37912961,38385110,38426606,38447032,38548620,38650776,38855106,38950502,39020645,39113894,39938076,40067202,40081254,40126224,40140245,40187444,40493361,40889100,40936961,41118528,41219969,41358875,41471060,41475732,41689746,41690342,41748135,41791521,41816945,41992526,42762873,43064582,43252911,43409361,43425941,43482123,43615040,43782980,43881833,43912814,44103110,44386769,44415617,44531344,44636536,44732633,44870774,45142002,45167822,45303764,45415253,45802996,45986673,46005110,46062132,46187894,46258344,46456454,46493489,46756577,46824774,46988655,47338646,47392120,47699050,48070289,48158246,48168294,48284870,48396101,48435974,48677500,49066920,49121849,49368182,49423670,49455483,49630650,49765272,49867313,50097762,50121232,50180334,50216103,50416916,50862593,50889254,50929649,51699110,52037560,52040637,52338048,52349294,52539576,52655092,52923732,52930742,52939360,53003001,53051416,53199062,53214470,53256089,53316135,53577209,53895686,53951673,53971670,54013745,54179204,54564005,54623177,55200285,55206132,55582529,55831841,55894804,55929377,55938875,55985931,56386386,56644817,56870544,57099873,57238860,57273953,57628577,57665272,57941844,58007333,58040121,58305221,58413000,58523729,58542255,58652152,58665062,58875575,58880304,58885670,59107023,59170193,59308404,59500145,59556780,59682843,59781075,59800046,60226473,60830681,60880169,60997695,61030769,61054784,61159214,61205102,61267457,61590724,61807601,61989655,62038932,62088692,62307200,62445072,62658773,62750753,63299896,63331473,63373574,63409670,63493972,63527232,63737177,63766480,63857364,63911942,63949881,63979362,64173592,64499955,64525460,64766004,64774409,64816494,64873431,64875873,65064208,65372612,65476806,65709761,65714625,65810081,65983671,66240342,66342136,66419270,66795110,67028961,67126650,67187861,67622177,67680353,67844246,67986712,68141500,68647814,68686632,68744405,68799952,68866041,69110729,69277934,69993284,70095600,70174070,70250706,70466894,70650690,70662804,70976174,70999473,71212383,71400174,71468136,71601760,71737290,71752289,72086933,72195291,72389441,73197234,73278644,73433899,73490054,74019566,74028873,74353574,74387586,74632161,74634903,74685076,74768640,74936357,75221560,75354377,75360736,75611249,75743345,75935156,75998660,76091604,76098566,76381529,76407639,76485051,76519776,76538870,76856582,77230275,77272461,77349845,77399946,77430552,77635641,78033110,78426926,78511313,78532473,78813989,78857550,79345814,79486805,79703124,79753216,79849720,79899110,80154132,80401653,80551980,81507873,81739924,81759377,81769800,81901094,81963256,82101494,82378960,82493286,83020937,83352929,83577801,83976404,84114720,84208884,84273905,84461673,84624255,84780828,85049841,85359182,85695928,85838872,85922112,85930473,85946775,86084748,86120276,86442326,86904376,86920805,86971670,87109371,87221120,87355217,87435860,87913877,88212521,88486649,88556650,88619979,88851075,89112724,89558705,89722368,89826854,89830935,90265872,90572335,90739913,90892014,90921089,90961475,91053110,91173441,91198392,91208084,91676560,91817583,91846644,91991025,92187605,92187809,92208663,92366276,92534870,92676330,92819814,92977262,93053895,93236645,93300134,93639732,93677684,93846377,94484654,94629060,94774480,94968952,95330405,95384166,95789174,95819664,95852945,95878932,95901855,96007361,96060873,96407919,96568731,96603110,96631761,96662376,96896945,96988577,96993782,97345000,97527953,97757764,97767423,97939505,98123760,98166977,98389934,98670374,98728121,98854752,99255569,99257488,99357617,99469253,99724334,...,28764173851313032173353159313732694022687454729197785198889892570048664830436660054450418256413265338341725013433522417214138663652069897949472914414096609002593127769838366551928042938515196215383254902358422764607026173211770663613114077778238618076224342194222463365172805286394053716619204503774330495538878757534187753635255931722547756682671058439774492859311029562669737947064213933641588160197049816495138092039918324231794687168821194042034761913868220325528968552195684919865882661053890900137246562818086395091725887697698360610522040390132604365498074160468989162601810078112672024953000523325724154758403044124516854483737602955100968452538461868864859957701981498671308819332013452684532915966957562539643084535960757662075528615724746361393776287026521013877969459417998757400830687615320270989938530529576663449497871420284875603256564146404187287655638627699215205711491295709545821889882952418750420025704353203152755580043013164183742268922391943861253788533188043629442843545499694130569612888674031052903385454463846577590735479304894473463475215576856034097620693507682554666769327043085474329831826608127885201440855766797760530307746501328613752744972916092620597270358825983926137829434986527012386141634321969644769717057275548503181368209013407511941804198826184524307292693436158429021557282865163050845093520886975599329274815810794591920483645862069847732116676985638815246707507576161601081109752075980278347975611105230235053918485442276553874863595195031389874631476622944513763163733086498450474025457586588081151480709094152781204637467000303101513750920115706868460777639398153011346721399317620010913914386812339767628577729248676566146489774733803321054880468370521487762248987437836431790102756808585932877731117841466946348628370193435560945854321282967792716337213091944742382111585768525075976579228997167101017825147658724494807059034658085438694372385306197310914572381478788657706671575398124327453474069246401320246259073628187018694005663898831359867900158851980408974198075812029091336720552742843916265346430964180969185304940452517601147647853756218318382568813778713928267204130067360700737119800016649995596901713511842682300904469192689929554190827021836046623560389745242929989299124105619639636217507455380658758727176262292817134706338390222028714869805054464018811641296057488022776459073976127449972434245414041838624610267942440449792665155438370080599022172767759612003713890023686225838366203817446087288868609196457034370650146803711299196649530188112585520276019865590295850844260309898787000709728060083292173232990461190582998679493187100850068594300260611228203929852795108106648501743286356346863430223840029270336440922308461914920961343209395239612388470473672250586569340270129161958962270312703303599233794968207654823692233463430074255524216151653860705554979525582304079989799441360388807261195663046705349979363571213877263181598419504957221655967867403238307136924985314473323304488021271528365662731316828266950639643817045864710291316284930030483472372771534047189643063707916225110120142164411645025896186697948101290211852}
19496  41798357307605839617814482525889094821607650558446335866068153601772072: {136423,194890,233868,253279,370063,428626,662218,895666,1091048,1206706,1227429,1301743,1417879,1439818,1461225,1533943,1558640,1753470,1791148,1828018,1870368,2025608,2060746,2104164,2113183,2257708,2278809,2370826,2603218,2758066,2835466,2959592,3151279,3213705,3329541,3427952,3856446,3994546,4148818,4297879,4380106,4412143,4586188,4771865,4965105,5296112,5323663,5437279,5515564,5548665,5726238,5918576,5958126,6004279,6658398,6689768,6816950,6907468,6950433,7067973,7450186,7525989,7806583,7833964,8180340,8274325,8352201,8725696,8747218,8759308,8859305,9047505,9257383,9400629,9481352,9650672,9738500,9816408,9887818,9922879,9929190,10115506,10410728,10494869,10591136,10631166,10666521,10797706,10857006,10873426,10916263,11043459,11191225,11339528,11686200,11712069,11778745,11849313,11915028,11931826,11959905,12007306,12203301,12401753,12465280,12656150,12685906,12756969,12757232,12903969,12911818,13146975,13319983,13368748,13429470,13513546,13705905,13861423,14023440,14106325,14134494,14264266,14324768,14351886,14619632,14745964,14958336,14992670,15187380,15776370,15974888,16009183,16059466,16115364,16199872,16447086,16828128,16879186,16900232,16927590,17194665,17399818,17452929,17622706,17716790,17775705,17949388,17971749,17991204,18056096,18120053,18197905,18224856,18340976,18853833,18931644,18960752,19012761,19176823,19518105,19594279,19698463,19769866,20313108,20502963,20529343,20633598,20679105,20728018,20736343,20819312,20987582,21260148,21330846,21418100,21593164,21628929,21830218,21837486,22057712,23024729,23299543,23421726,23604103,23861164,24070053,24110263,24282248,24613105,24814926,25183865,25309700,25317703,25701720,25748725,25885790,25905253,25985746,26116903,26216479,26303673,26347786,26713279,26714212,27024268,27317529,27415168,27959432,28094743,28115365,28151986,28213905,28654825,28762113,28914435,29258705,29371305,29535726,29559223,29753263,29982260,30094832,30220638,30371640,30732466,30842064,30862389,30898470,31007503,31062948,31106505,31199383,31329392,31454361,31582279,31677823,31684665,31943818,31966348,32396416,32425358,32654218,32892470,32958368,33007879,33180272,33641153,33716818,33738438,33796976,33819429,33856686,33858226,33981321,34168095,34372328,34385790,34697322,34790383,34916746,34976503,35093164,35110446,35245566,35339146,35440543,35620689,35810479,35971666,35976950,35978712,36182218,36428908,36445968,36672946,36678176,36730279,36979700,37078164,37096183,37112072,37317964,37327806,37442506,37733743,37816581,38021598,38096479,38140426,38163160,38638423,38668869,38767186,38901441,38964926,39056969,39094473,39114826,39185705,39356983,39446479,39470964,40023049,40155609,40224586,40261225,40363018,40476051,40868623,41001714,41261266,41262948,41468105,41666792,41751081,41798150,42010543,42294346,42533479,42576008,42616569,42747029,42831800,42933555,43172340,43255306,43460818,43484648,43544613,43666186,43829479,43856078,44172343,44375640,44687721,44828428,45167818,45414921,45532865,45795792,45972129,46037503,46050496,46289143,46321940,46419989,46526218,46571313,46707103,46729426,46755605,46790479,46875141,47022846,47113448,47334016,47405746,47898009,48058790,48185775,48313470,48920229,49207468,49358026,49559218,49612449,49744063,49760266,49761726,49922595,50146903,50157780,50234305,50457113,50547943,50583621,51111375,51320633,51398160,51520266,51534368,51661279,51762826,51806808,51838825,51844665,52044933,52228018,52360786,52410801,52427146,52500369,52526143,53002629,53250768,53354506,53422936,53441672,53501632,53537023,53614279,53991148,54518800,54639438,54728725,54739666,54824704,54964641,55144279,55300976,55387409,55522279,55586328,55664180,55722028,55795670,56106726,56151893,56314066,56629705,56706226,56719783,56931182,57016279,57017164,57253745,57311623,57577665,57639909,57670548,57679183,57684106,57822930,57879148,57976164,58049369,58117879,58282659,58425753,58553983,58670841,59111818,59240150,59275063,59435218,59488373,59907114,60100803,60121881,60189336,60199958,60201703,60272479,60281166,60554863,60695623,60846875,61315564,61333650,61416176,61559626,61677792,62008018,62018479,62206590,62213598,62433032,62534619,62535513,62636023,62651540,62988789,63021145,63284818,63987463,64047826,64224392,64453663,64596873,65046950,65310103,65422560,65674470,65818865,65819218,65869221,65940644,65945266,65960623,66154665,66174200,66314270,66353696,66667879,66797016,66907112,66954804,67264906,67303279,67306161,67618279,67713003,67724005,67751733,67955646,67993903,68180743,68704494,69007665,69093198,69281841,69387516,69684681,69784064,69833143,69868505,69883018,70052768,70068946,70133383,70237161,70316626,70372279,70502218,70564976,70669279,70670668,70811218,71007969,71088180,71548575,71549479,71717849,71839279,71920306,71935564,72081590,72237369,72252441,72341126,72413479,72427305,72653961,73016250,73036783,73205263,73315190,73391026,73484623,73600380,73608176,74052273,74135505,74366386,74445975,74647908,74670346,74913226,74983937,75109013,75146643,75181848,75270501,75442879,75590489,75625374,75654703,75827392,76041329,76133164,76184146,76231279,76318480,76333881,76988405,77207818,77224037,77255792,77386828,77509279,77548665,77610865,77884000,78007879,78056340,78507072,78523941,78548023,78704818,78809364,78935383,78982638,79077872,79124870,79367465,79385598,79396113,79409040,79419826,79577124,79649263,79708100,79798593,79821705,79976863,80216990,80301964,80656825,80783818,80843529,80957505,81197266,81268806,81330260,81374218,81561943,81657953,81715765,82428103,82550218,82640143,82718576,82766503,82809198,82927670,82975663,83097833,83252746,83260096,83388583,83428018,83794303,83842206,84011218,84185866,84441964,84579579,84661543,84702976,84968263,84983390,85143152,85157623,85176875,85266508,85305816,85567879,85858290,85866706,85933279,85999940,86181953,86291479,86354672,86421992,86443186,86497908,86501164,86615818,86815279,86850302,86912766,86952223,87189103,87302408,87491605,87591346,87619500,87648586,87684823,87978228,87997593,88320456,88328505,88566823,88627663,88748479,88962606,89191279,89335170,89371948,89502200,89508398,89641906,89700069,89783983,89868466,89920423,90134983,90207826,90292879,90701263,90884818,90898543,91043479,91201649,91530343,91559506,91582176,91598305,91738821,91807653,91821388,91943479,92150479,92170783,92175946,92386086,92523943,92561743,92654983,93058398,93133038,93143863,93236146,93356345,93460800,93514186,93561823,93569746,93667608,93677129,93771343,93939823,94026950,94197223,94200920,94217072,94352743,94401226,94511818,94526479,94559743,94637863,94665964,94677586,94839463,94854583,94900303,94904479,94918945,94949844,94983103,94998325,95005279,95018743,95060361,95114505,95174026,95200232,95240958,95280341,95290848,95629793,95649720,95786046,95867913,95888818,95916569,95969043,96260388,96407113,96788190,96983218,97149006,97224741,97596312,97805813,98058918,98215209,98705164,98990986,99183448,99360513,99418193,99509548,99513204,99628905,99691520,99812150,...,43146260776969548260029738970599041034031182093796677798334838855072997245654990081675627384619898007512587520150283625821207995478104846924209371621144913503889691654757549827892064407772794323074882353537634146910539259817655995419671116667357927114336513291333695047759207929591080574928806755661495743308318136301281630452883897583821635024006587659661739288966544344004606920596320900462382240295574724742707138059877486347692030753231791063052142870802330488293452828293527379798823991580836350205869844227129592637588831546547540915783060585198906548247111240703483743902715117169008037429500784988586232137604566186775281725606404432651452678807692803297289936552972248006963228998020179026799373950436343809464626803941136493113292923587119542090664430539781520816954189126998136101246031422980406484907795794364995174246807130427313404884846219606280931483457941548822808567236943564318732834824428628125630038556529804729133370064519746275613403383587915791880682799782065444164265318249541195854419333011046579355078181695769866386103218957341710195212823365284051146431040261523832000153990564628211494747739912191827802161283650196640795461619751992920629117459374138930895905538238975889206744152479790518579212451482954467154575585913322754772052313520111267912706298239276786460939040154237643532335924297744576267640281330463398993912223716191887880725468793104771598175015478458222870061261364242401621664628113970417521963416657845352580877728163414830812295392792547084811947214934416770644745599629747675711038186379882121727221063641229171806956200500454652270626380173560302691166459097229517020082098976430016370871580218509651442866593873014849219734662100704981582320702555782231643373481156754647685154135212878899316596676762200419522942555290153341418781481924451689074505819637917113573167378652787613964868843495750651526737721488086742210588551987128158041558577959295966371858572218182986560007363097186491180211103869601980369388610442280528041008495848247039801850238277970613461297113718043637005080829114265874398019646446271453777957410678776401721471780634327477573853220668070892400806195101041051105679700024974993395352570267764023451356703789034894331286240532754069935340584617864394983948686158429459454326261183070988138090764393439225702059507585333043072304707581696028217461944086232034164688610964191174958651368121062757936915401913660674688997733157555120898533259151639418005570835035529338757549305726169130933302913794685551555975220205566948794974295282168878280414029798385443776266390464848180501064592090124938259849485691785874498019239780651275102891450390916842305894779192662159972752614929534520295145335760043905504661383462692872381442014814092859418582705710508375879854010405193742938443405469054955398850692452311482235538350195145111383286324227480791058332469288373456119984699162040583210891793494570058024969045356820815894772397629257435832483951801104857460705387477971709984956732031907292548494096975242400425959465725568797065436974427395045725208559157301070784464595561874337665180213246617467538844280046922151935317778}
19497  41962573160019636188035050193205803119285152543168818251555548421506725: {292335,311824,350802,642939,954667,993327,1343499,1363810,1636572,1772407,1810059,1948300,2159727,2238935,2337960,2493824,2532010,2589643,2630205,2686722,2742027,2805552,2822135,2999458,3038412,3091119,3156246,3290599,3386562,3556239,3640703,3699490,3904827,4137099,4253199,4284940,4439388,4634098,4924139,5141928,5178754,5568706,5624807,5732735,5784669,5853547,5991819,6206783,6223227,6570159,6580522,6620140,6879282,6894455,7398220,7607687,7634984,7944168,8273346,8296183,8362210,8444338,8589357,8634335,8877864,8937189,9109387,9267244,9354007,9423964,9614722,9792455,9922087,9987597,10034652,10225425,10361202,10867519,10907120,10949135,11136268,11162578,11175279,11329439,11454283,11750946,11851690,12063340,12173125,12270510,12534172,12608123,12792178,13013410,13088544,13120827,13138962,13238920,13667023,13978027,14047954,14174410,14174888,14222028,14476008,14607750,14724612,14787703,14831727,14893785,15173259,15402439,15526967,15581600,15616092,15799084,15829858,15886704,15946540,15946749,16048354,16196559,16271068,16285509,16310139,16590658,16710935,16912207,17009292,17205292,17503727,17529300,17714939,17872542,17897739,17905960,18010959,18216898,18274540,18325319,18391186,18432455,18697920,18845992,18984225,19028859,19135848,19300498,19367727,19479263,19944448,19968610,20053122,20144205,20249840,20270319,20497138,20724106,21000587,21035160,21125290,21201741,21246967,21396399,21430594,21487152,21527829,21929448,22118946,22285063,22436735,22437504,22489005,22504303,22570120,22781070,22809083,22926220,23098703,23270572,23664555,23674199,23700940,23962332,23988272,24080639,24089199,24173046,24299808,24447007,24456778,24464503,24670629,25138444,25242192,25318779,25350348,25391385,25890859,25951159,26024140,26065666,26099727,26332978,26434059,26470823,26575185,26590087,26772625,26773162,26924082,26986806,26991455,27084144,27337284,27413218,27511464,27572140,27722866,28346864,28397466,28441128,28620658,28838572,29032738,29116648,29338583,29572354,29654799,29794882,29826455,30075787,30352810,30469662,30801706,30892447,30950397,31092027,31228968,31481373,31637125,31685099,31753522,31890222,31996269,32093404,32127150,32389746,32473063,32745327,32756229,33086568,33273743,33392765,33780335,34268960,34700194,34949290,35071564,35132589,35239487,35489003,35719183,35791746,36423372,36458443,37017419,37222389,37254007,37350226,37477825,37618540,37950679,37964550,38049067,38349484,38430562,38552580,38828685,38978619,39117922,39161740,39380968,39521679,39853762,39957935,40071318,40270858,40294184,40495520,40536402,41122752,41149852,41197960,41224267,41371858,41417264,41475340,41694634,41799263,41939148,42162719,42227979,42246220,42861227,42965410,43532914,43866455,43917346,44303589,44565538,44973390,44984584,45003479,45092572,45142248,45308428,45330957,45536135,45557460,45847720,46098699,46224625,46263096,46347705,46390090,46594422,46647455,46745069,46761463,46813928,46994088,47478763,47494252,47703950,47915727,47949522,47971616,48089723,48388354,48440962,48594624,48638037,48981327,49338705,49373266,49437552,49770408,50017199,50422108,50575227,50607657,50695464,50785029,50787339,50894506,51558492,51578685,51776386,51868588,51896962,52045983,52083490,52125964,52364287,52375119,52627952,52639746,52665669,52865839,52868349,53008719,53174698,53220010,53539750,53540812,53739154,53771243,53823922,53957499,53965425,53968068,54273327,54355810,54469319,54628903,54643362,54668952,54903082,55009419,55017264,55469550,55617246,55668108,55853947,55976946,55991709,56035535,56163759,56196343,56581138,56650663,56822092,57032397,57210639,57244740,57563120,57902425,58059484,58150779,58447389,58543723,58672239,58732943,58891810,58911178,59167520,59206446,59583628,60336879,60544527,60553228,60836959,61061056,61296172,61502571,61509335,61744354,61891899,61894422,62095084,62500188,62631383,62697128,62697225,63441519,63864012,63918538,64224226,64247700,64407154,64417960,64667723,64758510,64882959,65191227,65226972,65499279,65566834,65784117,65926319,66149932,66348968,66563460,66778670,66802090,66877040,67242642,67444828,67458299,67488935,67598818,67687399,67751727,68148500,68530880,68693688,69075744,69126220,69164407,69193138,69393244,69482910,69580225,69652535,69789327,69881068,70000492,70094139,70534269,70670172,71001024,71108619,71271455,71430994,72088185,72348935,72378754,72470205,72852584,72900599,73053563,73286188,73382146,73811202,74037039,74115104,74338827,74500258,74640399,74642589,74808968,74896042,75236670,75560338,75619243,75825922,76389607,76644455,76770220,76798679,76853212,76894064,77097240,77241403,77280399,77301552,77644239,77710212,77901004,78041290,78227788,78314425,78342027,78541179,78640719,79876152,80031759,80134404,80162508,80252448,80280490,80374888,80986722,81778200,81873922,81959157,82109499,82237056,82425805,82439938,82717750,82942120,82951464,83300203,83379492,83380684,83477399,83496270,83583042,83633890,83693505,83752399,83985052,84160089,84471099,85059339,85396773,85525746,86129164,86505822,86526159,86734395,86785517,86818722,86851882,86964246,87230080,87565960,87763666,87825628,87851903,88086223,88206220,88338335,88667727,88773538,88831234,88860225,89062688,89152827,89273072,89465266,89741548,89860671,89919455,90284004,90299937,90335644,90421749,90607528,90830506,90845767,91605992,91973346,92000475,92010220,92124264,92339439,92375788,92516688,92912908,92986978,93012027,93309885,93320397,93474743,93513154,93649548,93976903,93977310,94023743,94677292,94784240,94927227,95166455,95398100,96071739,96140578,96242167,96316492,96336588,96569740,96733535,96792202,96871948,97355000,97570425,98133840,98243698,98508007,98511705,98728827,98736364,98847340,98896843,98910966,98917899,99261300,99471405,99530544,99635125,99734626,...,64719391165454322390044608455898561551046773140695016697502258282609495868482485122513441076929847011268881280225425438731811993217157270386314057431717370255834537482136324741838096611659191484612323530306451220365808889726483993129506675001036890671504769937000542571638811894386620862393210133492243614962477204451922445679325846375732452536009881489492608933449816516006910380894481350693573360443362087114060707089816229521538046129847686594578214306203495732440179242440291069698235987371254525308804766340694388956383247319821311373674590877798359822370666861055225615854072675753512056144251177482879348206406849280162922588409606648977179018211539204945934904829458372010444843497030268540199060925654515714196940205911704739669939385380679313135996645809672281225431283690497204151869047134470609727361693691547492761370210695640970107327269329409421397225186912323234212850855415346478099252236642942188445057834794707093700055096779619413420105075381873687821024199673098166246397977374311793781628999516569869032617272543654799579154828436012565292819235047926076719646560392285748000230985846942317242121609868287741703241925475294961193192429627989380943676189061208396343858307358463833810116228719685777868818677224431700731863378869984132158078470280166901869059447358915179691408560231356465298503886446616864401460421995695098490868335574287831821088203189657157397262523217687334305091892046363602432496942170955626282945124986768028871316592245122246218443089188820627217920822401625155967118399444621513566557279569823182590831595461843757710434300750681978405939570260340454036749688645844275530123148464645024556307370327764477164299890809522273829601993151057472373481053833673347465060221735131971527731202819318348974895015143300629284413832935230012128172222886677533611758729456875670359751067979181420947303265243625977290106582232130113315882827980692237062337866938943949557787858327274479840011044645779736770316655804402970554082915663420792061512743772370559702775357416955920191945670577065455507621243671398811597029469669407180666936116018164602582207670951491216360779831002106338601209292651561576658519550037462490093028855401646035177035055683552341496929360799131104903010876926796592475923029237644189181489391774606482207136146590158838553089261377999564608457061372544042326192916129348051247032916446286762437977052181594136905373102870491012033496599736332681347799888727459127008356252553294008136323958589253696399954370692028327333962830308350423192461442923253317420621044697578165664399585697272270751596888135187407389774228537678811747028859670976912654337175586375263458842168788993239959128922394301780442718003640065858256992075194039308572163022221139289127874058565762563819781015607790614407665108203582433098276038678467223353307525292717667074929486341221186587498703932560184179977048743060874816337690241855087037453568035231223842158596443886153748725927701657286191058081216957564977435098047860938822741145462863600638939198588353195598155461641092568587812838735951606176696893342811506497770319869926201308266420070383227902976667}
19498  42127429587146695165230466720458892506571115381690141053335103447175439: {272846,389780,467736,506558,526203,564601,740126,797737,857252,1324436,1379317,1791332,2045715,2074837,2182096,2413412,2435375,2454858,2603486,2835758,2879636,2922450,3067886,3117280,3458101,3506940,3582296,3656036,3740736,3798015,3802297,4030083,4051216,4121492,4208328,4226366,4499187,4515416,4557618,4602901,4734369,4741652,5079843,5206436,5356175,5516132,5549235,5670932,5919184,6080377,6302558,6427410,6659082,6680611,6855904,6870901,6951147,7712892,7768131,7989092,7994101,8275175,8297636,8353059,8595758,8760212,8776057,8824286,8887477,9172376,9247775,9543730,9870783,9930210,10318923,10592224,10647326,10874558,11031128,11097330,11100757,11320501,11452476,11584055,11779955,11837152,11916252,12008558,12403027,12410019,12414901,12543315,12666507,13176697,13316796,13379536,13633900,13814936,13900866,13920335,14135946,14422083,14900372,14904697,15051978,15079175,15440917,15541803,15613166,15667715,15667928,16360680,16401577,16490243,16548650,16704402,16743867,16932757,17451392,17494436,17518616,17626419,17718610,17777535,18095010,18095017,18405765,18514766,18801258,18962704,19188267,19301344,19477000,19520115,19632816,19708443,19748855,19775636,19845758,19858380,19933175,20185897,20231012,20338835,20821456,20989738,21071931,21182272,21261615,21262332,21333042,21506615,21595412,21714012,21735157,21746852,21832526,21911625,22086918,22382450,22452601,22679056,22843175,23372400,23424138,23557490,23698626,23744787,23775637,23830056,23863652,23919810,24014612,24072531,24406602,24785077,24803506,24885987,24930560,25312300,25371812,25477067,25487401,25513938,25514464,25807938,25823636,25986901,26186197,26293950,26639966,26737496,26808813,26858940,27027092,27178357,27325347,27411810,27586779,27722846,27966901,28046880,28212650,28268988,28528532,28649536,28657775,28703772,28750837,28950747,29088215,29239264,29491928,29626175,29916672,29952915,29985340,30079683,30374760,30401401,30615299,30745707,31086159,31423055,31552740,31687935,31949776,32018366,32118932,32145891,32230728,32399744,32530175,32894172,32980117,33178419,33263401,33451897,33656256,33758372,33800464,33855180,34171605,34389330,34458347,34465175,34670101,34799636,34905858,35245412,35257411,35413717,35433580,35551410,35898776,35943498,35982408,36048215,36112192,36240106,36244777,36259569,36395810,36449712,36681952,36685167,36703957,37707666,37863288,37921504,38025522,38161237,38353646,39036210,39062677,39098499,39188558,39361511,39396926,39499467,39539732,39689401,40116755,40134901,40159743,40386123,40480209,40626216,40755577,40962187,41005926,41020501,41058686,41119827,41267196,41358210,41456036,41472686,41584299,41638624,41975164,42161017,42520296,42596199,42661692,42836200,42930987,43186328,43257858,43549107,43660436,43674972,43839455,44063401,44115424,44358531,44692323,44731643,45171157,45509557,45529215,45704493,46049458,46202559,46599086,46843452,47023175,47208206,47267257,47299967,47630283,47722328,47835333,47846101,47936855,48140106,48190725,48220526,48564496,48584619,48952175,49074601,49226210,49629852,49642357,50367730,50619400,50635406,51324457,51403440,51437315,51497450,51771580,51810506,51844175,51971492,52050291,52233806,52423935,52432958,52607346,52695572,52807775,53426558,53428424,53687619,54048536,54210901,54364117,54635058,54822037,54830336,54859987,55880437,55918864,56025339,56189486,56230730,56303972,56329717,56365715,56427810,56478901,56635535,56946825,57309650,57441577,57524226,57645843,57828870,58055347,58464697,58517410,58676883,58742610,59071452,59118446,59186857,59258677,59367815,59506526,59780643,59964520,60106977,60189664,60256597,60406287,60441276,60743280,60804603,61030777,61170601,61379797,61464932,61684128,61724778,61796940,62003497,62015006,62057787,62125896,62213010,62398766,62541951,62658784,62908722,63027635,63164558,63355646,63369330,63570901,63746011,63887636,63932696,64373557,64448115,64572601,64792832,64835735,64850716,65034517,65157455,65299371,65308436,65457847,65753257,65784940,65876019,65883001,65916736,66015758,66334837,66360544,66399097,66655417,66848307,66926015,67282306,67291177,67433636,67460085,67476876,67593952,67638858,67713372,67716452,67962642,67982197,68239523,68336190,68744656,68771580,69394644,69580766,69585135,69833492,69891633,69953006,70062997,70186328,70220892,70328027,70491132,70540501,70678292,70881086,71027615,71241378,71248117,71306617,71555925,71620958,71887657,71924283,71943332,71953900,71957424,72364436,72574355,72575401,72582531,72661443,72857816,72891936,72971797,73308757,73345892,73356352,73460558,73959400,74059899,74084917,74156328,74192366,74224144,74479535,74635928,74655612,74885012,75467486,75633162,75691535,76043196,76192958,76276777,76280852,76326320,76341759,76484137,76620215,76997497,77251477,77276846,77337738,77534372,77618855,77664579,77754037,77802882,77845443,77929852,78113938,78125235,78150901,78188946,78229652,78298537,78371410,78396601,78713966,78785977,78892958,78941928,78959619,78978937,79281587,79456297,79503637,79762047,79830015,79833001,80046098,80066101,80155243,80309625,80311218,80449172,80522450,80608731,80726036,80735883,80952102,81070357,81204601,81338197,81533715,81735097,81737246,81953077,81965043,82003428,82354623,82522532,82525896,82687415,82848937,82932601,82936210,83204325,83223157,83333584,83425869,83502162,83596300,83641547,83753401,83965419,84021086,84153001,84306035,84428437,84588692,84871707,85006777,85066958,85120501,85152016,85185625,85233138,85494058,85663600,85679401,85867110,86344680,86407775,86504917,86510612,86679337,86741555,86921636,86969296,87089226,87258901,87325717,87332372,87351335,87491497,87500615,87590101,87658958,87712156,88136617,88229603,88293397,88337715,88344686,88366767,88692601,88751280,88782997,88809669,89283001,89375442,89656856,89789737,89926357,90061177,90114601,90246901,90335636,90377401,90807637,90829842,91065730,91264771,91310377,91402537,91538617,91591584,91607735,91627897,91694101,91803001,91944258,92015401,92075006,92100992,92146411,92280757,92476597,92578286,92616531,92643880,92702101,92756857,92839978,92841633,93052436,93142626,93300601,93414206,93458852,93511210,93580958,93743401,93750282,93940501,94045692,94155637,94200277,94226896,94265077,94434601,94480501,94498357,94541737,94668032,94697257,94751401,94770517,94782901,94811492,94813607,94934101,94941877,94945657,94960057,94976437,95043001,95543111,95796018,95877807,95962775,96066515,96117580,96336339,96371550,96610731,96626940,97137765,97376255,97784735,97815907,97840458,98350251,98414936,98716052,99118436,99224898,99488126,99520532,99523452,99845190,...,86292521553939096520059477941198082068062364187593355596669677710145994491309980163351254769239796015025175040300567251642415990956209693848418743242289827007779383309515099655784128815545588646149764707075268293821078519635311990839342233334715854228673026582667390095518415859182161149857613511322991486616636272602563260905767795167643270048013175319323478577933088688009213841192641800924764480591149449485414276119754972695384061506463582126104285741604660976586905656587054759597647983161672700411739688454259185275177663093095081831566121170397813096494222481406967487805430234338016074859001569977172464275209132373550563451212808865302905357615385606594579873105944496013926457996040358053598747900872687618929253607882272986226585847174239084181328861079563041633908378253996272202492062845960812969815591588729990348493614260854626809769692439212561862966915883097645617134473887128637465669648857256251260077113059609458266740129039492551226806767175831583761365599564130888328530636499082391708838666022093158710156363391539732772206437914683420390425646730568102292862080523047664000307981129256422989495479824383655604322567300393281590923239503985841258234918748277861791811076477951778413488304959581037158424902965908934309151171826645509544104627040222535825412596478553572921878080308475287064671848595489152535280562660926797987824447432383775761450937586209543196350030956916445740122522728484803243329256227940835043926833315690705161755456326829661624590785585094169623894429868833541289491199259495351422076372759764243454442127282458343613912401000909304541252760347120605382332918194459034040164197952860032741743160437019302885733187746029698439469324201409963164641405111564463286746962313509295370308270425757798633193353524400839045885110580306682837562963848903378149011639275834227146334757305575227929737686991501303053475442976173484421177103974256316083117155918591932743717144436365973120014726194372982360422207739203960738777220884561056082016991696494079603700476555941226922594227436087274010161658228531748796039292892542907555914821357552803442943561268654955147706441336141784801612390202082102211359400049949986790705140535528046902713407578069788662572481065508139870681169235728789967897372316858918908652522366141976276181528786878451404119015170666086144609415163392056434923888172464068329377221928382349917302736242125515873830803827321349377995466315110241797066518303278836011141670071058677515098611452338261866605827589371103111950440411133897589948590564337756560828059596770887552532780929696361002129184180249876519698971383571748996038479561302550205782900781833684611789558385324319945505229859069040590290671520087811009322766925385744762884029628185718837165411421016751759708020810387485876886810938109910797701384904622964471076700390290222766572648454961582116664938576746912239969398324081166421783586989140116049938090713641631789544795258514871664967903602209714921410774955943419969913464063814585096988193950484800851918931451137594130873948854790091450417118314602141568929191123748675330360426493234935077688560093844303870635556}
19499  42292929069950014234868167816292795553939309475494295303723968620988865: {409269,487225,584670,623648,701604,759837,1071565,1110189,1285878,1655545,1909334,1986654,2239165,2356717,2686998,2727620,3016765,3134509,3273144,3544814,3599545,3620118,3641077,3682287,3896600,3905229,3950989,4069021,4253637,4302649,4319454,4383675,4477870,4570045,4601829,4675920,4987648,5064020,5151865,5179286,5260410,5373444,5484054,5611104,5644270,5819437,5927065,5998916,6076824,6182238,6286549,6312492,6339549,6508045,6581198,6634837,6773124,6836427,6895165,7088665,7112478,7281406,7335289,7398980,7809654,8025829,8274198,8502709,8506398,8569880,8770597,8878776,9268196,9453837,9641115,9652237,9848278,9986365,9988623,10050997,10283856,10357508,10372045,10950265,11137412,11249614,11465470,11569338,11707094,11983638,12088069,12413566,12446454,12609421,12893637,12971149,13035517,13140318,13161044,13236429,13240280,13389337,13550377,13709437,13758564,13788910,14313277,14315595,14796440,14895315,14900509,15164677,15215374,15269968,15328789,15888336,15970989,16311837,16349881,16546692,16592366,16645995,16724420,16888676,17042375,17178714,17268670,17353669,17505529,17755728,17874378,18012837,18218774,18534488,18625465,18708014,18847928,19219237,19229444,19481269,19562989,19584910,19844174,19975194,20069304,20139577,20450850,20690197,20722404,20851299,20851609,20935837,21002749,21203919,21538957,21735038,21770941,21814240,21868045,21898270,22272536,22325156,22350558,22577967,22658878,22811437,22908566,23101081,23235421,23395309,23419749,23501892,23676637,23703380,24126680,24225469,24346250,24541020,24691717,24719545,24822975,25056603,25068344,25216246,25288765,25584356,25805437,26026820,26058229,26177088,26241654,26277924,26348869,26473549,26477840,26577915,26956189,26994265,27142515,27183565,27334046,27772149,27956054,28095908,28201887,28296397,28348820,28349776,28444056,28458937,28952016,29215500,29449224,29461657,29575406,29663454,29768637,29787570,29829565,29843929,30018265,30346518,30804878,31053934,31163200,31232184,31411429,31484607,31598168,31640375,31659716,31714765,31773408,31893080,31893498,31999563,32096708,32279545,32393118,32542136,32571018,32577637,32620278,32639977,32748789,32790181,33130377,33181316,33277177,33421870,33573675,33783865,33824414,33932629,34018584,34410584,35007454,35058600,35136207,35336235,35429878,35547939,35660665,35745084,35795478,35811920,35879715,35898169,36021918,36433796,36549080,36609903,36650638,36782372,36864910,37188301,37205259,37395840,37481675,37691984,37700029,37788037,37968450,38019421,38057718,38270907,38271696,38600996,38711907,38735454,38958526,39385309,39440925,39685189,39888896,39937220,39959949,40106244,40148665,40288410,40499680,40540638,40994276,41117715,41448212,41584269,41757037,41941549,42001174,42070320,42197965,42223621,42250580,42318975,42356749,42403482,42493934,42792798,42861188,42974304,43055658,43234549,43499545,43858896,44056765,44219437,44237892,44291975,44424781,44570126,44873470,44875008,44978010,45008606,45140240,45562140,45618166,45852440,45894637,46197406,46541144,46664509,46749871,47292469,47329110,47348398,47401880,47924664,47976544,48027549,48161278,48178398,48346092,48513421,48599616,48894014,48913556,48929006,48970489,49341258,49399129,49424665,50022361,50276888,50484384,50605621,50637558,50700696,50782770,50940157,51583995,51781718,51820045,51902318,52048280,52131332,52199454,52358787,52468955,52665956,52868118,52941646,53113357,53150370,53180174,53267077,53327115,53466661,53532949,53545250,53546324,53848164,53915247,53973612,53982910,54168288,54360159,54366037,54496249,54575545,54593715,54674568,54826436,55022928,55144280,55445732,55593997,55941109,56435557,56561499,56693728,56787769,56794932,56833309,56869021,56882256,57038283,57241316,57530469,57677144,58065476,58233296,58535917,58554315,58677166,58782837,59095389,59144708,59309598,59368837,59389177,59512909,59589764,59652910,60151574,60623149,60705620,60939324,61413037,61508889,61588029,61603412,61784894,61900794,62037315,62184054,62209029,62457936,62768581,62962746,63274250,63287209,63370198,63507044,63750589,63780444,63795289,63992538,64186808,64254300,64674397,64714475,64774237,64779492,64886787,64946126,64964365,65306437,65490654,65512458,65642701,65869465,66173136,66489349,66547486,66785530,67465261,67560670,68537920,68814829,69074187,69142237,69400388,69745021,69750637,69760909,69898580,69898629,69999781,70143128,70265178,70379965,70478974,70812309,70978006,71438366,71583492,71931949,72210159,72330789,72846744,72916886,73010869,73061197,73474621,73839315,74034838,74165869,74444778,74508014,74700452,74954137,74955650,75237080,75551595,75901358,75929100,75953109,76098134,76245289,76581469,76698968,76810009,76831165,76861124,77105160,77191477,77246175,77657370,77715759,77957238,78235844,78323480,78350709,78449749,78649437,78761936,78911019,79043358,79707524,79859545,79915870,80139837,80142636,80541716,80588368,80991040,81063395,81072804,81635545,81952587,82058677,82231175,82245504,82299704,82395920,82448534,82743716,82834528,82950680,83389268,83598526,83878296,84192757,84284229,84292045,84325438,84346095,84455958,84492440,84597901,84641715,84645565,85722454,85836421,85928149,85930820,85964475,86113069,86286339,86336029,86743305,87065828,87291865,87732910,87776115,87834692,87861049,87889021,88113915,88347865,88505077,88607178,88677669,89131076,89234461,89259789,89929165,89942375,89946780,89969168,90006958,90185144,90284496,90455545,90616856,90661914,91072270,91114920,91682365,91695440,92197398,92449250,92526192,92587167,92695410,92780180,93022509,93188844,93294910,93319515,93490138,93522926,93598149,93606265,93627856,93988176,94363083,94484509,94746837,94957526,94988504,95033469,95053995,95351065,95407900,95668837,95831454,95899044,95943232,96179446,96776708,96881924,96917965,97189248,97276074,97412315,97513549,97787065,97962654,98187421,98677410,98746532,98875104,99023637,99540816,99780037,99921277,...,129438782330908644780089216911797123102093546281390033395004516565218991736964970245026882153859694022537762560450850877463623986434314540772628114863434740511669074964272649483676193223318382969224647060612902440731617779452967986259013350002073781343009539874001085143277623788773241724786420266984487229924954408903844891358651692751464905072019762978985217866899633032013820761788962701387146720886724174228121414179632459043076092259695373189156428612406991464880358484880582139396471974742509050617609532681388777912766494639642622747349181755596719644741333722110451231708145351507024112288502354965758696412813698560325845176819213297954358036423078409891869809658916744020889686994060537080398121851309031428393880411823409479339878770761358626271993291619344562450862567380994408303738094268941219454723387383094985522740421391281940214654538658818842794450373824646468425701710830692956198504473285884376890115669589414187400110193559238826840210150763747375642048399346196332492795954748623587563257999033139738065234545087309599158309656872025130585638470095852153439293120784571496000461971693884634484243219736575483406483850950589922386384859255978761887352378122416792687716614716927667620232457439371555737637354448863401463726757739968264316156940560333803738118894717830359382817120462712930597007772893233728802920843991390196981736671148575663642176406379314314794525046435374668610183784092727204864993884341911252565890249973536057742633184490244492436886178377641254435841644803250311934236798889243027133114559139646365181663190923687515420868601501363956811879140520680908073499377291688551060246296929290049112614740655528954328599781619044547659203986302114944746962107667346694930120443470263943055462405638636697949790030286601258568827665870460024256344445773355067223517458913751340719502135958362841894606530487251954580213164464260226631765655961384474124675733877887899115575716654548959680022089291559473540633311608805941108165831326841584123025487544741119405550714833911840383891341154130911015242487342797623194058939338814361333872232036329205164415341902982432721559662004212677202418585303123153317039100074924980186057710803292070354070111367104682993858721598262209806021753853593184951846058475288378362978783549212964414272293180317677106178522755999129216914122745088084652385832258696102494065832892573524875954104363188273810746205740982024066993199472665362695599777454918254016712505106588016272647917178507392799908741384056654667925660616700846384922885846506634841242089395156331328799171394544541503193776270374814779548457075357623494057719341953825308674351172750526917684337577986479918257844788603560885436007280131716513984150388078617144326044442278578255748117131525127639562031215581228815330216407164866196552077356934446706615050585435334149858972682442373174997407865120368359954097486121749632675380483710174074907136070462447684317192887772307497451855403314572382116162433915129954870196095721877645482290925727201277878397176706391196310923282185137175625677471903212353393786685623012995540639739852402616532840140766455805953334}
19500  42459074098932926309540165457037857151829805647479260211332017361236060: {214379,331211,447971,545692,564659,603539,720131,779560,836651,877005,935472,1013116,1030691,1052406,1129202,1147019,1302011,1379459,1418171,1480252,1534259,1595474,1611611,1714504,1882091,1928817,2113619,2190731,2460371,2648872,2758634,2864001,2979981,3228611,3409525,3496739,3582664,3688019,3840899,4030497,4069979,4091430,4149674,4364192,4374971,4489211,4641419,4826824,4831499,4870750,4909716,5059331,5173139,5206972,5317221,5400539,5430177,5627651,5671516,5759272,5844900,6081011,6135772,6234560,6330025,6457931,6479181,6716805,6871619,6916202,7013880,7164592,7246859,7312072,7481472,7498645,7596030,7604594,7768929,7890615,7994939,8032259,8060166,8102432,8218739,8226081,8242984,8416656,8452732,8466405,8553899,8814131,8998374,9030832,9115236,9205802,9248725,9259331,9273357,9333419,9468738,9481499,9483304,9871797,9888059,10159686,10256819,10412872,10668717,10712350,10922109,11032264,11098470,11101931,11341864,11358299,11585245,11714481,11838368,11906339,12088619,12160754,12411297,12452579,12605116,12759597,12854820,12946885,13318164,13361222,13647971,13711808,13741802,13902294,13921765,13936451,14080499,14188451,14404139,14727131,14772417,15121019,15335459,15425784,15478259,15536262,15656579,15978184,15988202,16083731,16217677,16438811,16451305,16491937,16550350,16595272,16706118,16863851,16874421,17191516,17198205,17354007,17520424,17552114,17560641,17569691,17648572,17774954,17975457,18096971,18202211,18344752,18447491,18495550,18620349,18669681,18832139,19087460,19180979,19355099,19488469,19563779,19710477,19741566,19860420,20014931,20291891,20637846,20683365,20740859,20905525,21110845,21184448,21294652,21463259,21737531,21749116,21840251,21934801,22062256,22182131,22194660,22201514,22489139,22641002,22795499,22823061,22904952,23168110,23270771,23372411,23473979,23559910,23674304,23676899,23832504,23980739,24017116,24036805,24787811,24806054,24820038,24829802,24888371,24888549,25022339,25086630,25333014,25723571,25768071,25903005,25989779,26189099,26222291,26321819,26353394,26633592,26759072,26785331,26811567,27181379,27267800,27328161,27378971,27629872,27648397,27707651,27801732,27840670,27906445,28062021,28166459,28271892,28297259,28474369,28591091,28786619,28844166,28949339,29241731,29377365,29629225,29662931,29766261,29800744,29809394,29962791,30103956,30109261,30147251,30158350,30404819,30676275,30881834,31083606,31110491,31226332,31335430,31335856,31653131,31980445,32351939,32533525,32602557,32721360,32803154,32847405,32980486,33015371,33078371,33097300,33408804,33455699,33487734,33525837,33865514,33925739,33988317,34206899,34362849,34902784,34988872,35037232,35046491,35119885,35170379,35252838,35263211,35436025,35437220,35448659,35555070,36064739,36181717,36190020,36190034,36248939,36279611,36519375,36524699,36708179,36738731,36811530,37029532,37165619,37602516,37742459,37824369,37925408,38165651,38376534,38602688,38707451,38954000,39040230,39097139,39265632,39362481,39416886,39455651,39497710,39515291,39551272,39574645,39691516,39694019,39716760,39723779,39866350,40050611,40120885,40169219,40371794,40462024,40677670,40701371,40723501,40789811,40937051,41001069,41377571,41476645,41642912,41728691,41903819,41934081,41979476,42020411,42107771,42143862,42364544,42523230,42524664,42666084,42804059,43013230,43190824,43323251,43428024,43470314,43493704,43639259,43665052,43823250,43992277,44173836,44182811,44239859,44363109,44495181,44681355,44751851,44764900,44905202,44950259,45035171,45204779,45358112,45519777,45542245,45543131,45686350,45936419,45977965,46104491,46207317,46580901,46718291,46744800,46773899,46848276,47114980,47355851,47397252,47466299,47489574,47551274,47660112,47727304,47839620,47840247,48029224,48098891,48145062,48251245,48509171,48589677,48672779,48813204,48856527,48863291,48930417,49107659,49570154,49607012,49756139,49771974,49809971,49861120,49921525,50132805,50159099,50400011,50467501,50560259,50613611,50624600,50693579,50736621,50743624,50954134,50974802,51027876,51028928,51092339,51242845,51330731,51615876,51647272,51726611,51810265,51910739,51973802,52372394,52511181,52587900,52813225,52825499,52864669,53085059,53144817,53279932,53474992,53550251,53576485,53617626,53627531,53693217,53717880,54032877,54054184,54217619,54243179,54356714,54396371,54600179,54650694,54823620,54904931,54975957,55158011,55173558,55297365,55445692,55586411,55899961,55933802,55987499,56093760,56163457,56336771,56361659,56425300,56510819,56537976,56952675,57005939,57057064,57086577,57153851,57299072,57315550,57399731,57407544,57501674,57522371,57901494,58103181,58176430,58181171,58351019,58423691,58437789,58478528,58568819,58785971,58858211,58930379,58983856,59194379,59252350,59266211,59290139,59833344,59905830,59909459,59970680,60051611,60159366,60264299,60287891,60432615,60617339,60749520,60802802,60810957,61038611,61061939,61141945,61201739,61230598,61375237,61491414,61873379,62034491,62080451,62172318,62309771,62561099,62652251,62834171,62846110,63001761,63105480,63128699,63375870,63444371,63579179,63605223,63740901,63899552,64036732,64189197,64237864,64271099,64291782,64381979,64461456,64581059,64583487,64603139,64713419,64799488,64911419,65060350,65064971,65164165,65174411,65653571,65783579,65788344,65832445,65960234,66042731,66356838,66526802,66536219,66685571,66855189,66903794,66932905,66940691,67111597,67310205,67312512,67321211,67467015,67512909,67516744,67600928,67678211,67710360,68012099,68136779,68343210,68427249,68533045,68570891,68755859,68778660,68916694,68930350,69042299,69123851,69286571,69296109,69307165,69340202,69347459,69590291,69599272,69771659,69811716,69852059,69892211,70152419,70391411,70431131,70490824,70514822,70569899,70728011,70827434,70865939,70867160,70993665,71022597,71102820,71160179,71257859,71551645,71627219,71797552,71886996,71897531,71955251,71964816,72012241,72032099,72089651,72096430,72185411,72224384,72241917,72267597,72480212,72489554,72519138,72581845,72604379,72699059,72791620,72868979,72899424,72945697,72981899,73225571,73262939,73341021,73363904,73370334,73393509,73407914,73430699,73560731,73930091,73930885,74011887,74168459,74332691,74487205,75072659,75286691,75415332,75464171,75676091,75711299,75726576,75843008,75882025,75956337,76051044,76079051,76174155,76252931,76287611,76304939,76322474,76512251,76563899,76707292,76752659,77004265,77008499,77025491,77581739,77672577,77853477,78030371,78072420,78125354,78178619,78196998,78299181,78326219,78377116,78407939,78603251,78668099,78723022,78748979,78793852,78912001,78958331,78990419,78998934,79006451,79054499,79079464,79289749,79293659,79302177,79378802,79383805,79388819,79412469,79515251,79562531,79625459,79725555,79770261,79860299,79984811,80093339,80233510,80263091,80269802,80317875,80319486,80416571,80646709,80772246,80902331,80960418,80974365,81252432,81276131,81320651,81511154,81586259,81659579,81747299,81924374,81979811,82011852,82041002,82117372,82195931,82239654,82267571,82481291,82534392,82716420,82912072,82945372,82959059,83114941,83168598,83277011,83277248,83318171,83359259,83413931,83522891,83658371,83698859,83819891,83950328,84179099,84322034,84441419,84636059,84803291,84994571,85019939,85040592,85184051,85192398,85323384,85508219,85631459,85672400,85705019,85766099,85814819,85861974,85875539,85984331,86128379,86235659,86372656,86377691,86515716,86530259,86600219,86727731,86750485,86934299,87002579,87036611,87037357,87098214,87205691,87272819,87283979,87320872,87349944,87373225,87406211,87483491,87571331,87647771,87678910,87734651,87928259,88015749,88087619,88126802,88150859,88182371,88230848,88238689,88442171,88615979,88656539,88717062,88747331,88797491,88964397,89045291,89307299,89384646,89463286,89479365,89507051,89777099,89804651,89813819,89950379,90129659,90182819,90209291,90227361,90262019,90270779,90323171,90340571,90342314,90401219,90452891,90731939,90748571,90770029,90806531,90855899,90929411,90953771,91019114,91058430,91090451,91220437,91349171,91408986,91516811,91561859,91576811,91665851,91818899,91826099,92031419,92038379,92059211,92098916,92182691,92303579,92343299,92395811,92405118,92492891,92569259,92594459,92677341,92724659,92791451,92851191,92922131,93043259,93155339,93198172,93204731,93276081,93317459,93322739,93354251,93375565,93481729,93532331,93552059,93566771,93605651,93653531,93686904,93696421,93733091,93760619,93832619,93845891,93880931,93893939,93999539,94046350,94056491,94084379,94228931,94250699,94272179,94317731,94328051,94395011,94408019,94416412,94444119,94452539,94455659,94498499,94501499,94519331,94534514,94559819,94562651,94596011,94599934,94651619,94710851,94745531,94758899,94788971,94803419,94819451,94838771,94876739,94880171,94891931,94895219,94901699,94911375,94937891,94954259,94960739,94962011,94965779,94978979,94980131,94995419,95015411,95022899,95043731,95047859,95051051,95052299,95054579,95055297,95058779,95059691,95061539,95062211,95260566,95444656,95670666,95692202,95873710,95988807,96076405,96280212,96381450,96441052,97128992,97169238,97419189,97794805,97904350,98149202,98235981,98268687,98452420,98849101,99259704,99284714,99438661,99634405,99821229,...,194158173496362967170133825367695684653140319422085050092506774847828487605447455367540323230789541033806643840676276316195435979651471811158942172295152110767503612446408974225514289834977574453836970590919353661097426669179451979388520025003110672014514309811001627714916435683159862587179630400476730844887431613355767337037977539127197357608029644468477826800349449548020731142683444052080720081330086261342182121269448688564614138389543059783734642918610487197320537727320873209094707962113763575926414299022083166869149741959463934121023772633395079467112000583165676847562218027260536168432753532448638044619220547840488767765228819946931537054634617614837804714488375116031334530491090805620597182776963547142590820617735114219009818156142037939407989937429016843676293851071491612455607141403411829182085081074642478284110632086922910321981807988228264191675560736969702638552566246039434297756709928826565335173504384121281100165290338858240260315226145621063463072599019294498739193932122935381344886998549709607097851817630964398737464485308037695878457705143778230158939681176857244000692957540826951726364829604863225109725776425884883579577288883968142831028567183625189031574922075391501430348686159057333606456031673295102195590136609952396474235410840500705607178342076745539074225680694069395895511659339850593204381265987085295472605006722863495463264609568971472191787569653062002915275676139090807297490826512866878848835374960304086613949776735366738655329267566461881653762467204875467901355198333864540699671838709469547772494786385531273131302902252045935217818710781021362110249065937532826590369445393935073668922110983293431492899672428566821488805979453172417120443161501020042395180665205395914583193608457955046924685045429901887853241498805690036384516668660032600835276188370627011079253203937544262841909795730877931870319746696390339947648483942076711187013600816831848673363574981823439520033133937339210310949967413208911662248746990262376184538231317111679108326072250867760575837011731196366522863731014196434791088409008221542000808348054493807746623012854473649082339493006319015803627877954684729975558650112387470279086566204938105531105167050657024490788082397393314709032630780389777427769087712932567544468175323819446621408439770476515659267784133998693825371184117632126978578748388044153741098749338860287313931156544782410716119308611473036100489799208998044043399666182377381025068757659882024408971875767761089199863112076084982001888490925051269577384328769759952261863134092734496993198757091816812254790664405562222169322685613036435241086579012930737963011526759125790376526506366979719877386767182905341328154010920197574770976225582117925716489066663417867383622175697287691459343046823371843222995324610747299294828116035401670059922575878153001224788459023663559762496111797680552539931146229182624449013070725565261112360704105693671526475789331658461246177783104971858573174243650872694932305294143582816468223436388590801916817595765059586794466384923277705763438516207854818530090680028434519493310959609778603924799260211149683708930001} 
19501  42625867174175524317086892795340333886058039143115795892257461372585607: {19501,682115,818538,974450,1169340,1247296,1266395,1403208,1500191,1519674,1578609,1693803,1850315,2143130,2220378,2317763,2393211,2571756,2785211,3134831,3311090,3818668,3973308,4069439,4137951,4223471,4303091,4478330,4713434,4808843,5039363,5373996,5455240,6033530,6137145,6224511,6269018,6398063,6508715,6546288,7026143,7089395,7089628,7199090,7212611,7240236,7282154,7306125,7364574,7669715,7793200,7810458,7841171,7901978,8138042,8297891,8507274,8605298,8638908,8767350,8955740,9111263,9140090,9198431,9203658,9351840,9653231,9924131,9975296,10128040,10303730,10358572,10365251,10374303,10520820,10565915,10746888,10968108,11222208,11288540,11394045,11406891,11638874,11854130,11878451,11997832,12090249,12153648,12232163,12364476,12573098,12624984,12679098,13016090,13036859,13162396,13269674,13497561,13546248,13672854,13790330,13808703,13865711,13980911,14177330,14203107,14211371,14224956,14314751,14520863,14562812,14670578,14797960,14902043,15144539,15239529,15330371,15405611,15591851,15619308,15756395,16051658,16068525,16544291,16548396,16647705,16915691,17005418,17012796,17139760,17477459,17541194,17757552,17921891,18241131,18536392,18907674,19282230,19304474,19565003,19696556,19972730,19977246,20041833,20101994,20141651,20567712,20612703,20715016,20744090,20853441,21489395,21773183,21900530,21965471,22060715,22115963,22274824,22289651,22499228,22508939,22930940,23138676,23237819,23304393,23414188,23859325,23967276,23982303,24176138,24227963,24452051,24694259,24825525,24827132,24892908,25059177,25218842,25455131,25787274,25896191,25942298,26071034,26075651,26280636,26322088,26328171,26472858,26480560,26595563,26618315,26662431,26778674,26958971,27100754,27186395,27242051,27418874,27460043,27517128,27577820,27743325,28299311,28626554,28631190,29123903,29464691,29592880,29612349,29790630,29801018,30021395,30329354,30430748,30539936,30615263,30657578,30898811,30956769,31776672,31902131,31941978,31969163,32623674,32699762,33093384,33184732,33291990,33302271,33388091,33448840,33766163,33777352,33936131,33961503,34084750,34232171,34357428,34537340,34607363,34707338,34752165,35011058,35339865,35404271,35511456,35748756,36025674,36437548,37068976,37192139,37209081,37230057,37244703,37250930,37416028,37629945,37695856,37791971,37924703,37999521,38056991,38438474,38444219,38458888,38962538,39032915,39125978,39169820,39530091,39688348,39950388,40121483,40138608,40279154,40300031,40901700,41371625,41380394,41444808,41702598,41703218,41761005,41761391,41871674,42005498,42025571,42407838,43077914,43239011,43266249,43470076,43541882,43628480,43736090,43792571,43796540,44296525,44400671,44545072,44650312,44701116,44714091,44932043,45155934,45191363,45237525,45317756,45622874,45817132,46202162,46286915,46322751,46470842,46625409,46790618,46839498,47003145,47003784,47261951,47297411,47353274,47406760,47488559,48253360,48450938,48692500,49082040,49204731,49383434,49439090,49470729,49614395,49627811,49645950,49882751,49900643,49924931,50113206,50136688,50231601,50432492,50577530,50798271,51029099,51168712,51610874,52053640,52116458,52354176,52375091,52474345,52483308,52555848,52697738,52879257,52947098,52955680,53155830,53332605,53472179,53912378,53988530,54285030,54285051,54367130,54581315,54668092,54731723,55217295,55544298,55865471,55912108,55956125,56191816,56208131,56403774,56592794,56697640,56699552,56888112,56917874,57291839,57334043,57564801,57904032,58025291,58254611,58431000,58542011,58560345,58893725,58898448,58923314,59077151,59125329,59150812,59188511,59246565,59326908,59519051,59537274,59575140,59659130,59687858,59791391,59799525,59806643,59830943,60036530,60557691,60693036,60899363,61016505,61049663,61609756,61679471,62008765,62107868,62326400,62464368,62678171,62770331,62775059,62822858,62969214,63196336,63215793,63280750,63319432,63429530,63468683,63546816,63784845,63786160,63786996,63999126,64193416,64250771,64519845,64559090,64780991,64786236,65084272,65142036,65155274,65205471,65240556,65279954,65497578,65580362,65734875,65830463,66260754,66362632,66376139,66496211,66554354,66599915,66843740,67147350,67208843,67357803,67567730,67648828,67865258,68037168,68529525,68821168,68821931,69132251,69178811,69194531,69307115,69752219,70014908,70117200,70163171,70272414,70531625,70672470,70732763,70859756,71095878,71234361,71321330,71326911,71490168,71590956,71623840,71759430,71796338,72043836,72109259,72217593,72548063,72867592,73098160,73219806,73301276,73456537,73482299,73564744,73729820,74355231,74376602,74410518,74657961,74791680,74963350,75383968,75400058,75576074,75936900,76038842,76115436,76405763,76431201,76462203,76541814,76543392,76551371,77201992,77423814,77470908,77917052,77931323,77960703,78558591,78770618,78881850,79177451,79370378,79777792,79874440,79919898,80045915,80212488,80297330,80426439,80576820,80999360,81081276,81535071,81600383,81976041,81988552,82107251,82235430,82432571,82760337,82896424,83168538,83514074,83883098,83900703,84002348,84140640,84395930,84447242,84501160,84637950,84713498,84806964,84987868,85215323,85585596,85722376,85845419,85948608,85973325,86111316,86252511,86345051,86469098,86833643,86852241,86999090,87264645,87717792,88113530,88308539,88438874,88475784,88514291,88583950,88849562,88878525,89140252,89746940,89750016,89858745,89956020,90017212,90239049,90280480,90432239,90445763,90600265,90950111,90989525,91124280,91204203,91226291,91236332,91273643,91704880,91712639,91789274,91845897,91997279,92217251,92237121,92394812,93082288,93258477,93329018,93499742,93502751,93707051,94269165,94584938,94658220,94696796,94803760,95063805,95849328,95884115,95953088,96037343,96055098,96322556,96356796,96437673,96692184,97026842,97199232,97590525,97788028,97827112,97858012,97940978,97971395,98197643,98492315,98531951,98682516,98798258,98849330,98917439,98940351,99500531,99535257,99790203,...,258877564661817289560178433823594246204187092562780066790009033130437983473929940490053764307719388045075525120901701754927247972868629081545256229726869481023338149928545298967352386446636765938449294121225804881463235558905935972518026700004147562686019079748002170286555247577546483449572840533968974459849908817807689782717303385502929810144039525957970435733799266064027641523577925402774293441773448348456242828359264918086152184519390746378312857224813982929760716969761164278792943949485018101235219065362777555825532989279285245494698363511193439289482667444220902463416290703014048224577004709931517392825627397120651690353638426595908716072846156819783739619317833488041779373988121074160796243702618062856787760823646818958679757541522717252543986583238689124901725134761988816607476188537882438909446774766189971045480842782563880429309077317637685588900747649292936851403421661385912397008946571768753780231339178828374800220387118477653680420301527494751284096798692392664985591909497247175126515998066279476130469090174619198316619313744050261171276940191704306878586241569142992000923943387769268968486439473150966812967701901179844772769718511957523774704756244833585375433229433855335240464914878743111475274708897726802927453515479936528632313881120667607476237789435660718765634240925425861194015545786467457605841687982780393963473342297151327284352812758628629589050092870749337220367568185454409729987768683822505131780499947072115485266368980488984873772356755282508871683289606500623868473597778486054266229118279292730363326381847375030841737203002727913623758281041361816146998754583377102120492593858580098225229481311057908657199563238089095318407972604229889493924215334693389860240886940527886110924811277273395899580060573202517137655331740920048512688891546710134447034917827502681439004271916725683789213060974503909160426328928520453263531311922768948249351467755775798231151433309097919360044178583118947081266623217611882216331662653683168246050975089482238811101429667823680767782682308261822030484974685595246388117878677628722667744464072658410328830683805964865443119324008425354404837170606246306634078200149849960372115421606584140708140222734209365987717443196524419612043507707186369903692116950576756725957567098425928828544586360635354212357045511998258433828245490176169304771664517392204988131665785147049751908208726376547621492411481964048133986398945330725391199554909836508033425010213176032545295834357014785599817482768113309335851321233401692769845771693013269682484178790312662657598342789089083006387552540749629559096914150715246988115438683907650617348702345501053835368675155972959836515689577207121770872014560263433027968300776157234288652088884557156511496234263050255279124062431162457630660432814329732393104154713868893413230101170870668299717945364884746349994815730240736719908194972243499265350760967420348149814272140924895368634385775544614994903710806629144764232324867830259909740392191443755290964581851454402555756794353412782392621846564370274351251354943806424706787573371246025991081279479704805233065680281532911611906668}
19502  42793310805371224064599744608288066397921968363031874750716232080658936: {253357,370177,428758,603601,662422,895942,1091384,1129318,1185901,1207078,1227807,1418317,1440262,1461675,1534417,1559120,1673302,1754010,1870944,2026232,2061382,2104812,2258404,2279511,2294038,2604022,2758918,2836342,2960504,3068518,3190948,3214695,3223222,3330567,3429008,3726637,3764182,3857634,4227238,4381462,4413517,4773335,4920742,4966635,5211601,5297744,5438977,5517268,5728002,5959962,6457222,6717495,6819050,6993478,7070151,7165328,7376038,7681798,8033101,8060994,8139958,8182860,8256877,8299348,8728384,8749942,8862035,8978422,9050295,9282838,9403527,9653648,9662998,9741500,9819432,9926017,10118662,10346278,10413944,10498103,10634442,10798635,10801078,10860354,10923231,11046861,11194675,11255302,11343032,11518544,11689800,11715687,11852967,12126337,12162022,12207063,12271544,12469120,12660050,12760911,12907947,12915862,12948215,12958362,13151025,13324237,13433610,13710135,13743238,13805487,13832404,14027760,14110675,14329184,14493718,14624144,14962944,14997290,15158401,15192060,15209188,15372817,15455595,15537858,15781230,15989878,16064518,16120332,16204864,16219343,16437478,16452162,16452995,16485968,16833312,16905464,16932810,17077777,17107798,17458311,17628262,17781195,17996748,18061664,18125639,18203515,18230472,18411604,18497450,18518662,18546714,18659437,18666838,18859647,18869101,18937476,18962998,18966608,19018647,19392001,19490471,19524135,19600657,19704877,19743594,19776118,19904511,20319372,20509281,20513638,20639617,20685495,20825744,21265995,21337434,21424700,21844218,21979501,22005867,22064528,22184557,22196940,22203862,22683728,22716598,22797997,23031827,23170490,23307217,23428962,23510401,23676736,23713297,23812678,24017101,24077487,24177238,24321508,24620695,24822594,24905158,25025101,25210232,25508127,25519194,25709640,25893770,25913239,26225197,26311791,26324737,26636328,26722444,26821357,27295942,27423616,27483604,27513601,27710737,27804588,27843530,27872902,28124035,28160998,28300417,28361511,28376902,28663675,28808278,28923345,28956711,28985101,29267735,29454262,29544834,29555183,29666257,29959095,29965869,30152991,30242038,30670918,30851568,30921901,30956518,31033915,31072524,31113997,31116135,31313158,31688557,31956368,31976404,32167462,32435354,32850795,32877622,32902610,32983874,33100700,33113617,33190544,33412236,33651527,33727702,33748842,33960877,34242001,34383032,34396410,34472275,34708014,34895437,35040848,35104228,35121282,35139382,35174401,35297144,35549908,35822797,35950914,36193942,36264207,36283777,36404422,36689504,36742957,36894982,36991100,37200337,37240698,37339362,37473901,37664278,37828263,38038435,38109697,38174920,38361958,38680911,38710198,38913447,38976938,39069023,39106551,39127558,39420954,39460237,39483132,39709287,39720840,39728401,40029862,40035391,40168011,40583782,40651131,41128311,41275692,41366730,41480915,41481718,41811050,42112717,42221690,42368896,42589304,42760211,42809101,42926518,42939831,42946785,43069057,43171675,43475062,43498232,43680502,43869602,44124512,44364262,44389320,44403028,44685945,44701527,44772623,44785537,44955601,44978278,45282004,45494031,45546935,45590998,45646122,45809904,45986367,46336220,46541542,46744822,46770035,46807297,46947958,47119820,47348608,47353798,47472001,47665008,47912967,47961478,48034232,48073610,48935511,48962275,49049643,49167839,49575622,49610435,49612108,49640076,49659604,49776742,49777098,49937985,50044678,50165197,50173260,50666028,51125101,51127125,51447142,51536142,51680257,51759277,51806010,51979558,52061007,52378198,52444582,52516587,52545517,52643638,52706788,52857997,53091601,53267184,53518144,53570662,53623134,53634157,53711377,54038511,54148831,54249901,54337595,54362758,54535600,54632401,54656322,54745675,54757942,55164877,55259744,55296794,55404503,55415302,55603464,55618477,55681340,55812890,55876395,56124042,56144401,56169239,56332918,56368717,56543784,56594518,56647195,56948738,57037777,57182182,57271415,57406957,57573238,57657711,57688332,57774337,57898678,58067303,58443807,58483462,58688967,58754730,59258450,59297677,59325862,59532522,59601488,59618788,59925582,59940817,60207912,60218522,60294502,60295597,60316700,60418731,60809638,60865625,61069777,61349137,61352550,61763668,61853803,62070591,62167212,62220982,62452664,62476427,62553897,62554827,62592001,62670860,62671712,62807511,63008247,63040615,63272401,63306262,63475117,63611757,63744397,63759143,63960890,64369151,64611601,64616871,64703878,64743937,64941901,65067050,65205114,65312823,65442720,65604135,65606308,65694810,65960972,66030742,66051457,66156742,66194600,66817608,66885901,66911398,66975468,67051674,67551743,67708177,67731028,67733901,67851478,67976634,68335115,68413798,68434311,68725698,69072001,69303243,69706263,69801217,69805568,69890135,69977744,70074464,70092982,70185927,70239770,70259247,70340758,70460557,70505676,70526422,70872050,70874440,70897318,71029911,71110140,71637037,71739983,72042001,72129478,72214477,72363434,72380040,72380068,72497878,72500497,72534371,72559222,72676407,72728017,73038750,73049398,73416358,73459501,73477462,73570957,73623060,73938515,74059064,74075151,74158635,74178817,74331238,74452237,74468925,75007079,75101101,75169809,75205032,75484918,75648738,75850816,75866295,76315777,76331302,76419601,76753068,77012195,77036497,77205376,77414902,77416311,77592877,77634835,77693101,77908000,78041617,78080460,78174687,78194278,78531264,78724962,78833772,78911302,78995420,79017937,79030582,79046607,79102544,79149290,79305217,79383032,79388038,79400401,79420647,79433520,79447558,79637101,79732700,79733745,80012077,80101222,80241770,80338438,80743588,80868567,80924048,80982795,81355340,81402742,81427545,81447002,81550695,81579622,81686401,81874102,81905101,82002138,82208257,82550401,82755142,82953290,83285824,83316447,83457382,83467537,83554675,83807638,83868162,83958952,84040822,84215542,84287724,84310477,84561035,84605661,84700717,84729088,84889191,85046460,85049328,85332168,85376811,85533901,85598723,85607917,85608118,85644817,85791697,86026460,86153857,86208551,86261101,86381648,86646502,86856048,86856577,86940628,86987408,87230797,87278518,87297901,87330104,87464401,87518635,87646500,87888877,87984554,88207117,88347672,88363537,88365622,88384971,88479718,88574695,88640557,88726218,88990362,89305911,89362710,89488695,89503702,89521837,89529800,89531787,89810404,89828737,89900518,90054795,90070342,90233197,90285901,90409558,90621457,90716224,90747277,90797101,90969217,91039554,91084490,91086262,91113937,91229831,91372700,91626595,91842001,91872838,91955930,92054401,92162275,92165423,92208982,92219137,92414634,92648401,92867857,93059917,93127597,93161802,93226957,93307777,93339601,93371137,93436582,93489600,93547798,93670657,93696552,93706067,93754897,93849901,94004557,94041601,94137217,94229960,94234287,94250257,94293457,94453821,94473601,94519501,94580737,94589197,94662097,94700077,94711702,94757101,94777297,94794504,94915537,94921125,94932598,94952401,94960897,94979148,94980877,94999057,95059501,95064577,95067601,95070337,95081101,95081677,95102548,95144295,95309747,95320224,95454608,95679240,95680494,95946263,95998689,96058448,96197782,96290124,96502490,96838635,97018342,97030031,97179354,97345558,97396315,97626408,97713054,97726582,97732911,97860834,97919931,98215318,98246367,98370543,99140308,99214024,99391131,99512278,99543948,99619942,99722240,99831531,99843050,...,388316346992725934340267650735391369306280638844170100185013549695656975210894910735080646461579082067613287681352552632390871959302943622317884344590304221535007224892817948451028579669955148907673941181838707322194853338358903958777040050006221344029028619622003255429832871366319725174359260800953461689774863226711534674075955078254394715216059288936955653600698899096041462285366888104161440162660172522684364242538897377129228276779086119567469285837220974394641075454641746418189415924227527151852828598044166333738299483918927868242047545266790158934224001166331353695124436054521072336865507064897276089238441095680977535530457639893863074109269235229675609428976750232062669060982181611241194365553927094285181641235470228438019636312284075878815979874858033687352587702142983224911214282806823658364170162149284956568221264173845820643963615976456528383351121473939405277105132492078868595513419857653130670347008768242562200330580677716480520630452291242126926145198038588997478387864245870762689773997099419214195703635261928797474928970616075391756915410287556460317879362353714488001385915081653903452729659209726450219451552851769767159154577767936285662057134367250378063149844150783002860697372318114667212912063346590204391180273219904792948470821681001411214356684153491078148451361388138791791023318679701186408762531974170590945210013445726990926529219137942944383575139306124005830551352278181614594981653025733757697670749920608173227899553470733477310658535132923763307524934409750935802710396667729081399343677418939095544989572771062546262605804504091870435637421562042724220498131875065653180738890787870147337844221966586862985799344857133642977611958906344834240886323002040084790361330410791829166387216915910093849370090859803775706482997611380072769033337320065201670552376741254022158506407875088525683819591461755863740639493392780679895296967884153422374027201633663697346727149963646879040066267874678420621899934826417823324497493980524752369076462634223358216652144501735521151674023462392733045727462028392869582176818016443084001616696108987615493246025708947298164678986012638031607255755909369459951117300224774940558173132409876211062210334101314048981576164794786629418065261560779554855538175425865135088936350647638893242816879540953031318535568267997387650742368235264253957157496776088307482197498677720574627862313089564821432238617222946072200979598417996088086799332364754762050137515319764048817943751535522178399726224152169964003776981850102539154768657539519904523726268185468993986397514183633624509581328811124444338645371226072870482173158025861475926023053518251580753053012733959439754773534365810682656308021840395149541952451164235851432978133326835734767244351394575382918686093646743686445990649221494598589656232070803340119845151756306002449576918047327119524992223595361105079862292458365248898026141451130522224721408211387343052951578663316922492355566209943717146348487301745389864610588287165632936446872777181603833635191530119173588932769846555411526877032415709637060181360056869038986621919219557207849598520422299367417860002}
19503  42961407511863465697967285371934456832768132106725076309014686590545405: {39002,643137,954961,993633,1343913,1364230,1637076,1693977,1772953,1810617,1948900,2160393,2338680,2494592,2509953,2532790,2590441,2631015,2806416,2823005,3000382,3039348,3092073,3157218,3291613,3387606,3441057,3700630,3906033,3988685,4138377,4254513,4286260,4440756,4602777,4635526,4786422,4809337,4834833,4925657,5143512,5570422,5626541,5646273,5786451,6208697,6269662,6340857,6572193,6622180,6896585,7381113,7610033,7637336,7946616,8138878,8275902,8446942,8592003,8606182,8939943,8956660,9112201,9426868,9592301,9617686,9685833,9925153,10078726,10228575,10292753,10374185,10490217,10737601,10747992,10870873,10910480,11064057,11522697,12067060,12091491,12176875,12209937,12274290,12449022,12538036,12612017,12796126,13017430,13092576,13124913,13467633,13671241,13924257,14052286,14178790,14179256,14398180,14425222,14480472,14494497,14564308,14612250,14729148,14792281,15167801,15177993,15339430,15407197,15519417,15586400,15620916,15682342,15803956,15883297,15951663,16201617,16276084,16290531,16595782,16882953,16917433,17014548,17210596,17277816,17290505,17509133,17534700,17911480,18222526,18243033,18280180,18396862,18407316,18426733,18682801,18703680,18990075,18995537,19011485,19306462,19373793,19437543,19485281,19848262,19950592,20150415,20256080,20607460,20614857,20717144,20730502,20748606,21007073,21041640,21131830,21493776,21543401,21740577,21936216,22058953,22444416,22495935,22511257,22577080,22788090,22813782,23014505,23105837,23277748,23306787,23671845,23681513,23708260,23756902,23984817,23995664,24088097,24096777,24180498,24307296,24464326,24656217,24678243,24717841,24728952,25146196,25249968,25358196,25399215,25661697,25898857,25959193,26032180,26073718,26324792,26354297,26442393,26479001,26539348,26598301,26780875,26995122,27092496,27345708,27377633,27462877,27580660,27617406,27731422,27746175,27777993,27820071,27961822,28000257,28354660,28406214,28422742,28444497,28449912,28629502,29041726,29125624,29341156,29595920,29615391,29664177,29804086,29850077,30085153,30289078,30401885,30479058,30660742,30770457,30811222,30885001,30901993,31183702,31238616,31512790,32006151,32103316,32137050,32646701,32766327,33088582,33096792,33295410,33305793,33403055,33831382,34010836,34025592,34074897,34279520,34354505,34755735,34954918,35082388,35143443,35250401,35515104,35719017,35730241,35843782,35902033,36265857,36482262,36764057,37072784,37215533,37233891,37265641,37357737,37815348,37928617,38060953,38278791,38564460,38608948,38840655,39130006,39393112,39458653,39693377,39945460,39950777,39954492,39970505,40083666,40203988,40283302,40551401,40943913,41135424,41225406,41375875,41430032,41488180,41706882,41765295,41809353,42029953,42241497,42565353,42978790,43212417,43546366,43801060,43880285,43930942,44121430,44181393,44231926,44317251,44437385,44549648,44579302,44998456,45017417,45017878,45363057,45434077,45861880,46006377,46238875,46277352,46434777,46475638,46608786,46674137,46828376,46935857,46969737,47676953,47718650,47934552,47964606,48251193,48332873,48352276,48455926,48653031,48904102,49316433,49353915,49360817,49388518,49475811,49651050,49654264,49785816,50118354,50437684,50591553,50623263,50910262,51574548,51594615,51792382,51884596,52062021,52142068,52151302,52561272,52644176,52656342,52681923,52709073,52945716,52961120,53191126,53236630,53324862,53557348,53917942,53926371,54201508,54290913,54372790,54484102,54606633,54646081,54837748,54846641,54920086,55034256,55155640,55342473,55466377,55486650,55503785,55855033,55861047,56009043,56447201,56496417,56598622,56602505,56668201,56743517,57253108,57262380,57542937,57920275,58065297,58247806,58465407,58691337,58899775,58929382,59131431,59185760,59224698,59381201,59581260,59602036,60042790,60044793,60307117,60635657,60658708,60855793,60861496,60875673,61079872,61230526,61315156,61797622,61913538,62015135,62050095,62074505,62222577,62716575,63332535,63553344,63804262,63883956,63938326,64389777,64598861,64801681,65212593,65247348,65399524,65520753,65618201,65804403,65837257,65883485,65946737,66186768,66369464,66546393,66583980,66604542,66776182,66897680,67467417,67532326,67554704,67708537,67872262,67923006,68169500,68386497,68464342,68469183,68714856,69074680,69186013,69214726,69414676,69460153,69504330,69601675,69812313,70022116,70117233,70421937,70662553,70679730,70692077,70808542,71022912,71030697,71497512,71942217,72051348,72110415,72116701,72875096,72923177,73464083,74137952,74316737,74320481,74363433,74384278,74418162,74460114,74489406,74501860,74523485,74665113,74665647,74832056,75067017,75259890,75391712,75395875,75574073,75583942,75849406,75999042,76113982,76413841,76559353,76876948,76888438,76917776,77170713,77204585,77265457,77304213,77709015,77925076,77969337,78065830,78251956,78338575,78339640,78567297,78666873,78965457,79060182,79376696,79462217,79900776,80242966,80277216,80355993,80434701,80558308,80600062,81153497,81544137,81803400,81984483,82007885,82136913,82451215,82743250,82760788,82889616,82945191,83122953,83305897,83405196,83406436,83522010,83522782,83719335,83743348,84010996,84051142,84186063,84499377,84663785,84736577,84815676,84891777,85423107,85773273,86155828,86359857,86478022,86532498,86812271,86842717,86848017,86940152,87083764,87256960,87472180,87585142,87593080,87725193,87907457,88132095,88593050,88801342,88887675,88988793,89090144,89298783,89300624,89402232,89428182,89864086,89888373,90311868,90327783,90382726,90441753,90475050,90475085,90635512,91214457,91245748,91634264,92028825,92404324,92573830,92645502,92941684,93239881,93250818,93331473,93581236,93678996,94006290,94007568,94523902,94594822,94706548,94813520,94959393,94977118,95941335,96506201,96506720,96833117,96901876,97029961,97055817,97385000,97568377,97600575,97807671,98164080,98409462,98542215,98744275,98766868,98878180,98927737,98941458,99046113,99228790,99235113,99255622,99291900,99665875,99765502,99801286,99849862,...,582474520489088901510401476103087053959420958266255150277520324543485462816342366102620969692368623101419931522028828948586307938954415433476826516885456332302510837339226922676542869504932723361510911772758060983292280007538355938165560075009332016043542929433004883144749307049479587761538891201430192534662294840067302011113932617381592072824088933405433480401048348644062193428050332156242160243990258784026546363808346065693842415168629179351203928755831461591961613181962619627284123886341290727779242897066249500607449225878391802363071317900185238401336001749497030542686654081781608505298260597345914133857661643521466303295686459840794611163903852844513414143465125348094003591473272416861791548330890641427772461853205342657029454468426113818223969812287050531028881553214474837366821424210235487546255243223927434852331896260768730965945423964684792575026682210909107915657698738118302893270129786479696005520513152363843300495871016574720780945678436863190389217797057883496217581796368806144034660995649128821293555452892893196212393455924113087635373115431334690476819043530571732002078872622480855179094488814589675329177329277654650738731866651904428493085701550875567094724766226174504291046058477172000819368095019885306586770409829857189422706232521502116821535026230236617222677042082208187686534978019551779613143797961255886417815020168590486389793828706914416575362708959186008745827028417272421892472479538600636546506124880912259841849330206100215965987802699385644961287401614626403704065595001593622099015516128408643317484359156593819393908706756137805653456132343064086330747197812598479771108336181805221006766332949880294478699017285700464466417938359517251361329484503060127185541995616187743749580825373865140774055136289705663559724496417070109153550005980097802505828565111881033237759611812632788525729387192633795610959240089171019842945451826230133561040802450495546020090724945470318560099401812017630932849902239626734986746240970787128553614693951335037324978216752603281727511035193589099568591193042589304373265227024664626002425044163481423239869038563420947247018479018957047410883633864054189926675950337162410837259698614814316593315501151971073472364247192179944127097892341169332283307263138797702633404525971458339864225319311429546977803352401996081476113552352896380935736245164132461223296248016580861941793469634347232148357925834419108301469397626994132130198998547132143075206272979646073226915627303283267599589336228254946005665472775153808732152986309279856785589402278203490979596271275450436764371993216686666507968056839109305723259737038792213889034580277377371129579519100939159632160301548716023984462032760592724312928676746353777149467199990253602150866527091863074378029140470115529668985973832241897884484348106205010179767727634459003674365377070990679287488335393041657619793438687547873347039212176695783337082112317081014579427367994975383738533349314915575719522730952618084796915882430748449404670309165772405750452787295178760383399154769833117290315548623564455590272040085303558479932878829335811774397780633449051126790003}
19504  43130159822682554278571928446952567576652769081475677957803317553640052: {58503,506714,740354,797983,857516,914479,1207202,1324844,1379743,1611943,1791884,1959703,2046345,2182768,2191183,2258636,2371802,2414156,2436125,2455614,2537863,2836634,2880524,2923350,3068834,3118240,3346604,3508020,3741888,3799185,4052464,4122764,4209624,4500573,4516808,4559022,4588076,4735827,5081409,5208044,5357825,5517836,5550945,5628823,5672684,5921008,6137036,6381896,6429390,6446444,6647479,6661134,6682669,6858016,6953289,7179633,7323343,7453274,7528364,7715268,8220463,8277725,8355633,8454476,8762924,8827034,8890279,9335383,9404493,9546670,9557503,9841484,9933270,10423202,10553479,10595488,10877954,11034536,11104279,11195825,11214223,11456004,11783585,11919924,12208317,12406849,12413853,12670413,12909273,12914444,13180903,13434990,13638100,13986956,14140302,14263423,14330656,14426529,14479063,14752076,15083825,15118089,15363596,15672545,16066202,16121988,16279916,16365720,16513279,16513754,16598696,16938223,17456768,17499884,17724070,17956844,17997725,18100590,18127501,18205385,18206143,18411435,18565676,18673533,18807054,19194189,19307296,19325996,19483000,19526145,19568023,19638864,19754945,19852034,20088583,20237324,20296303,20345105,20692556,20827888,20996206,21078429,21124303,21268185,21268884,21330583,21513245,21597270,21602156,21637833,21720708,21845023,21846462,21918375,22093722,22255279,22389350,22510604,22686064,22850225,23009145,23034193,23037088,23379600,23431374,23523513,23705934,24252674,24324044,24414126,24543088,24692623,24893673,24893863,24938240,25320100,25484921,25521822,25759325,25795879,25815894,25831724,25896430,25915901,25916724,26302050,26648474,26867220,27333789,27385063,27420270,27486476,27595293,27610974,27664808,28055520,28221350,28368943,28658368,28662703,28858183,28959693,28987436,29097185,29248288,29635325,29734279,29772393,29925888,29994580,30218479,30316802,30384120,30418376,30604543,30624737,30745634,30911190,31075716,31095753,31122909,31432745,31562460,31697745,31979756,32129036,32232463,32240664,32409728,32438686,32540225,32612479,32874956,32904324,32905990,32971936,33085879,33174185,33557479,33666624,33810928,33865620,33933463,34155554,34182135,34215596,34220673,34468973,34475825,34916622,35256524,35425879,35443325,35562390,35635353,35993496,36123328,36251278,36270747,36349279,36407030,36460944,36676445,36696489,36716623,36823208,36994900,37037324,37093428,37318874,37333676,37356703,37719294,37738202,37874952,37925996,37933216,38037294,38264983,38784002,38980942,39048270,39110577,39166063,39201314,39373649,39409754,39487188,39524479,39552236,39809022,40129145,40492683,40638744,40769863,40974829,41018562,41027276,41211223,41279234,41370990,41426109,41597133,41651488,41942733,42175879,42513545,42531990,42609321,42634113,42674868,42849400,42944253,43447481,43562589,43688436,43852985,43959002,44011734,44129056,44250343,44369114,44393880,44407724,44421343,44706129,44745437,45272023,45367456,45433196,45433617,45595994,45718587,45947383,45991113,46063654,46216833,46340980,46614434,46775553,46785103,46857924,47020802,47269185,47314553,47353472,47367223,47426594,47625356,48034202,48110479,48154974,48205575,48261185,48354476,48643016,48929479,49241390,49632873,49645188,49660423,49810316,49822063,49931825,49943115,50050202,50254985,50420464,50625943,50747073,51016254,51038388,51419280,51787540,51826478,51860225,52212103,52432377,52450394,52623582,52649474,52838503,53253809,53272656,53444888,53642714,53765673,54591884,54723393,54751325,54842479,54847232,54918583,54967208,55027202,55421474,55609176,55687060,55745804,56248070,56321996,56425543,56600834,56723022,56753804,57020263,57327350,57463279,57536863,57616556,57846690,57913422,57970202,58073281,58486903,58535470,58695009,58908524,59089668,59110366,59281279,59332514,59918190,59924743,59931738,60066943,60125499,60305982,60421183,60424953,60440345,60484076,61124263,61341836,61703136,61838109,61843802,61913036,62067830,62096479,62145048,62227994,62232270,62560323,62626316,63047105,63054583,63377114,63460879,63765709,63912736,63952808,63994073,64334924,64465279,64468185,64730383,64855745,64870708,65060143,65177585,65319549,65478049,65701590,65755244,65805220,65896413,65967748,66167863,66182145,66201400,66227234,66347889,66381088,66425479,66681943,66824472,66868953,66946685,67000903,67303054,67455404,67497684,67526817,67751885,67921754,68009479,68484002,68547185,68766064,68792820,68938279,68944550,69130721,69305263,69416028,69454609,69487783,69713457,69790543,69790874,69911143,69913179,70081696,70091503,70208456,70242564,70278764,70348802,70450279,70594288,71099816,71277343,71335879,71566385,71577975,71645594,71901828,71946909,71975023,72205279,72387884,72528414,72567554,72683889,72808844,73099949,73283263,73356153,73379008,73485914,73789964,73982200,74082777,74400674,74476575,74481396,74502545,74678724,74932423,74947802,75177531,75254479,75328556,75656526,75732703,75823385,76072633,76076870,76219394,76309279,76349840,76365393,76643945,76723916,76774543,77081479,77361822,77420396,77637463,77688573,77787583,77826894,77953876,78138046,78213102,78226953,78255116,78841908,78920474,78966264,78984513,79013383,79306073,79348543,79418574,79441680,79456802,79538479,79585783,79786689,79854945,79987293,80059724,80070782,80179981,80336022,80470879,80876913,80881063,81167564,81302262,81374479,81418903,81559185,81726153,81749405,82256622,82292263,82380129,82551384,82733460,82928383,82961830,82963436,83095279,83229975,83302279,83548303,83622100,84225434,84443380,84662143,84737792,84855103,84897933,84931783,85046263,85178608,85211875,85520422,85618202,85853036,85879662,85893570,86138114,86155423,86333983,86343350,86580943,86720479,86755183,86768345,86950124,86996464,87361004,87371709,87400879,87527645,87533503,87599383,87739204,88084303,88210879,88249024,88256861,88394073,88728524,88778640,88806056,88837047,88856503,89123479,89371890,89403054,89545246,89571074,89723743,89911202,89956556,90064185,90106279,90133063,90370879,90500479,90564008,90779263,90853783,90903103,90988062,91000879,91093870,91181996,91292244,91380463,91608343,91619808,91697479,91845789,91972734,92309263,92349223,92408623,92672440,92696433,92788063,92824423,92870307,92966983,93083084,93127325,93238279,93398479,93489644,93536503,93540070,93614594,93895916,94239640,94264279,94595983,94697216,94707596,94752223,94766263,94800103,94856479,94879663,94890823,94907023,94917463,94932583,94944002,94956343,94986583,95002279,95020279,95036479,95330016,95669161,95706393,95825934,95907489,95922956,96068464,96096185,96147220,96446801,97406345,97814945,97846189,97871022,97924550,98099286,98335678,99151244,99220870,99224216,99280152,99319208,99553484,99554196,99875970,99906813,...,776632693985451868680535301470782738612561277688340200370027099391313950421789821470161292923158164135226575362705105264781743918605887244635768689180608443070014449785635896902057159339910297815347882363677414644389706676717807917554080100012442688058057239244006510859665742732639450348718521601906923379549726453423069348151910156508789430432118577873911307201397798192082924570733776208322880325320345045368728485077794754258456553558172239134938571674441948789282150909283492836378831848455054303705657196088332667476598967837855736484095090533580317868448002332662707390248872109042144673731014129794552178476882191361955071060915279787726148218538470459351218857953500464125338121964363222482388731107854188570363282470940456876039272624568151757631959749716067374705175404285966449822428565613647316728340324298569913136442528347691641287927231952913056766702242947878810554210264984157737191026839715306261340694017536485124400661161355432961041260904582484253852290396077177994956775728491741525379547994198838428391407270523857594949857941232150783513830820575112920635758724707428976002771830163307806905459318419452900438903105703539534318309155535872571324114268734500756126299688301566005721394744636229334425824126693180408782360546439809585896941643362002822428713368306982156296902722776277583582046637359402372817525063948341181890420026891453981853058438275885888767150278612248011661102704556363229189963306051467515395341499841216346455799106941466954621317070265847526615049868819501871605420793335458162798687354837878191089979145542125092525211609008183740871274843124085448440996263750131306361477781575740294675688443933173725971598689714267285955223917812689668481772646004080169580722660821583658332774433831820187698740181719607551412965995222760145538066674640130403341104753482508044317012815750177051367639182923511727481278986785561359790593935768306844748054403267327394693454299927293758080132535749356841243799869652835646648994987961049504738152925268446716433304289003471042303348046924785466091454924056785739164353636032886168003233392217975230986492051417894596329357972025276063214511511818738919902234600449549881116346264819752422124420668202628097963152329589573258836130523121559109711076350851730270177872701295277786485633759081906062637071136535994775301484736470528507914314993552176614964394997355441149255724626179129642864477234445892144401959196835992176173598664729509524100275030639528097635887503071044356799452448304339928007553963700205078309537315079039809047452536370937987972795028367267249019162657622248888677290742452145740964346316051722951852046107036503161506106025467918879509547068731621365312616043680790299083904902328471702865956266653671469534488702789150765837372187293487372891981298442989197179312464141606680239690303512612004899153836094654239049984447190722210159724584916730497796052282902261044449442816422774686105903157326633844984711132419887434292696974603490779729221176574331265872893745554363207667270383060238347177865539693110823053754064831419274120362720113738077973243838439114415699197040844598734835720004}
19505  43299570276582640000692925358665963547100190748041738149717792286449335: {78004,760071,1071895,1110531,1286274,1656055,1810803,1909922,1987266,2239855,2357443,2687826,2728460,2823295,3017695,3274152,3387954,3545906,3557703,3600655,3621234,3642199,3683421,3897800,3952207,4183255,4254951,4320786,4385025,4603251,4677360,4926163,4989184,5019906,5065580,5153455,5180882,5262030,5584159,5612832,5627119,5646010,5735095,5821231,6000764,6078696,6184146,6288487,6314436,6510055,6583226,6636883,6775212,6838533,6882114,6897295,7090855,7337551,7401260,7671295,7812066,7918999,7977370,8058055,8276754,8505331,8509026,8572520,8881512,9205554,9271052,9410455,9572844,9618674,9644085,9655219,9669666,9851314,9991701,10054099,10253839,10287024,10568095,10720807,10953655,11140844,11179911,11253082,11292546,11334103,11572902,12301855,12417394,12539324,12681714,13039543,13144386,13240551,13244360,13554559,13793170,14317699,14320005,14523859,14762226,14899905,14905111,15169363,15220066,15274672,15533359,15595063,15634803,15893232,16143055,16277756,16316931,16354927,16551804,16893884,17047625,17184006,17212364,17483695,17879886,17913320,17925583,18224402,18332863,18440095,18853736,19184602,19204495,19235372,19371666,19487287,19569031,19850306,20145799,20152485,20157452,20349895,20457150,20585506,20748370,20980434,21210453,21475202,21495984,21741746,21777667,21820960,21874855,21970003,22120519,22128114,22446055,22449271,22818499,23045394,23207095,23436319,23683951,24090583,24099303,24134120,24157495,24182982,24206707,24232951,24353750,24419874,24548580,24699343,24770631,24898044,25076072,25224034,25296655,25460383,25592252,25865695,26034860,26185152,26249826,26357011,26481727,26586105,26616079,26935266,27002695,27150885,27247663,27342482,27848514,28104572,28138255,28210581,28305139,28357580,28358512,28467751,28796360,28850444,28960944,28988994,29128616,29224500,29458296,29470759,29584562,29778051,29853151,30335602,30355986,30405055,30598531,30678860,30814394,31038834,31172800,31241832,31364684,31494309,31607912,31650125,31766594,31903326,31908703,31975759,32220307,32289655,32395905,32403234,32552168,32581062,32650063,32769693,33140583,33191564,33222487,33287479,33584025,33765906,33773119,33834866,34029096,34239223,34358095,34421192,34555632,34581010,35018266,35069400,35147061,35254039,35255251,35558901,35822960,35909287,36234295,36379011,36445052,36486066,36560360,36621189,36793724,36814632,36853466,37365602,37407360,37416559,37493225,37980150,37991074,38022970,38282733,38612924,38723841,38747586,38844645,38875086,38970562,39397507,39453075,39696524,39901184,39972711,39974695,40161295,40300830,40512160,40976023,41076151,41093695,41130405,41214920,41229714,41416461,41434288,41461004,41497212,41593831,42014146,42083280,42263660,42332025,42562639,42706003,42769495,42987552,43086802,43448431,43481154,43872432,44070655,44117906,44888832,44991870,45022063,45022514,45154160,45475203,45576180,45627564,45908851,46029010,46118451,46211674,46243625,46296655,46366785,46555496,46613574,46667095,46764277,47343690,47363026,47407495,47416520,47513804,47924383,47969634,47991328,48096307,48109699,48176194,48193554,48360996,48526903,48568111,48614592,48658029,48928652,49225411,49312434,49356486,49358985,49435682,49440295,49457904,49893043,50037847,50292392,50499936,50716392,50798430,51233331,51284095,51323394,51797714,51918386,52064360,52147436,52374933,52649584,52708594,52884786,52958002,53078696,53196602,53343585,53561750,53990244,54184992,54376917,54382999,54513127,54610545,54691416,54755266,54925754,55161320,55234812,55462844,55492350,55509655,55555986,55635283,55640142,55923644,55958707,55978311,56000514,56578941,56607303,56709320,56791495,56812428,56845484,56888994,56899824,57055941,57259004,57867151,57926225,58037263,58083452,58176003,58251248,58335511,58471413,58572405,58682312,58757287,58801971,59114631,59191840,59200723,59230782,59328354,59387383,59531695,59608172,59700154,59713533,59803843,60170306,60443095,60578156,60656863,60803770,60958116,61062259,61299187,61321484,61432399,61527843,61540914,61622444,61770002,61803986,61918851,62056485,62212339,62262895,62367404,62477232,62691103,63025580,63797985,63815047,64012302,64206632,64274100,64694419,64734425,65254687,65293402,65532654,65625043,65938503,65953543,66017601,66040183,66177164,66193584,66254191,66553671,66590820,66611586,66806110,67486147,67662764,68021672,68051184,68149794,68239855,68393991,68559040,68709010,69095481,69163651,69511470,69608825,69682255,69772483,69909836,69921651,70164776,70177783,70286886,70402495,70500802,70531203,70942255,71014999,71030208,71139891,71438034,71460482,71687564,71804066,71954227,72020695,72051303,72198727,72232461,72426931,72531714,72930703,72964524,73528114,73635655,73862085,74140471,74145568,74324503,74431066,74467782,74531282,74715474,74975287,74977351,75075303,75605095,75630696,75857234,76121906,76524381,76557582,76605187,76677295,76830511,77128920,77217896,77391295,77548783,77681310,77705299,77739717,78208687,78260012,78282895,78453463,78675591,78786224,78917306,78935373,78974211,79243507,79386754,79890920,79901554,79908984,79941010,80167332,80350063,80407976,80418655,80464071,80566604,81088385,81102802,81114751,81887826,82084279,82194055,82256525,82270848,82450812,82459685,82540803,82751750,82860064,82976360,83064067,83132211,83413764,83439511,83530590,83618706,83904463,84020239,84059906,84319255,84372105,84482994,84901251,85084533,85130706,85623871,85957580,85991025,86424834,86770035,86821189,86870133,86904307,86955303,87092732,87602120,87760570,87803205,87828871,87848455,87861884,87888487,87959407,88242860,88327063,88362786,88463852,88634502,88665549,88874770,88998771,89099296,89158604,89877285,89897607,89996912,90034834,90035756,90458973,90464599,90484855,90726114,90868154,91011055,91723760,91751839,92012754,92236879,92237455,92477750,92554704,92765703,92835523,92869554,92951276,93101745,93217572,93341991,93348274,93348405,93513487,93656752,93871714,93939474,94160695,95065671,95353906,95437300,95698999,95869104,95904895,95929212,96502386,96665746,96704552,96775495,96911852,96924883,97306062,97442345,97808204,97818895,98552385,98632866,98707830,98721634,98777036,98779411,98951622,99302100,99308528,99340851,99571632,...,1164949040978177803020802952206174107918841916532510300555040649086970925632684732205241939384737246202839863044057657897172615877908830866953653033770912664605021674678453845353085739009865446723021823545516121966584560015076711876331120150018664032087085858866009766289498614098959175523077782402860385069324589680134604022227865234763184145648177866810866960802096697288124386856100664312484320487980517568053092727616692131387684830337258358702407857511662923183923226363925239254568247772682581455558485794132499001214898451756783604726142635800370476802672003498994061085373308163563217010596521194691828267715323287042932606591372919681589222327807705689026828286930250696188007182946544833723583096661781282855544923706410685314058908936852227636447939624574101062057763106428949674733642848420470975092510486447854869704663792521537461931890847929369585150053364421818215831315397476236605786540259572959392011041026304727686600991742033149441561891356873726380778435594115766992435163592737612288069321991298257642587110905785786392424786911848226175270746230862669380953638087061143464004157745244961710358188977629179350658354658555309301477463733303808856986171403101751134189449532452349008582092116954344001638736190039770613173540819659714378845412465043004233643070052460473234445354084164416375373069956039103559226287595922511772835630040337180972779587657413828833150725417918372017491654056834544843784944959077201273093012249761824519683698660412200431931975605398771289922574803229252807408131190003187244198031032256817286634968718313187638787817413512275611306912264686128172661494395625196959542216672363610442013532665899760588957398034571400928932835876719034502722658969006120254371083991232375487499161650747730281548110272579411327119448992834140218307100011960195605011657130223762066475519223625265577051458774385267591221918480178342039685890903652460267122081604900991092040181449890940637120198803624035261865699804479253469973492481941574257107229387902670074649956433505206563455022070387178199137182386085178608746530454049329252004850088326962846479738077126841894494036958037914094821767267728108379853351900674324821674519397229628633186631002303942146944728494384359888254195784682338664566614526277595405266809051942916679728450638622859093955606704803992162952227104705792761871472490328264922446592496033161723883586939268694464296715851668838216602938795253988264260397997094264286150412545959292146453831254606566535199178672456509892011330945550307617464305972618559713571178804556406981959192542550900873528743986433373333015936113678218611446519474077584427778069160554754742259159038201878319264320603097432047968924065521185448625857353492707554298934399980507204301733054183726148756058280940231059337971947664483795768968696212410020359535455268918007348730754141981358574976670786083315239586877375095746694078424353391566674164224634162029158854735989950767477066698629831151439045461905236169593831764861496898809340618331544811500905574590357520766798309539666234580631097247128911180544080170607116959865757658671623548795561266898102253580006}
19506  43469641422078838575127770289330263610925294614723832821236375299573504: {97505,117006,331313,448109,564833,720353,836909,1013428,1147373,1418609,1480708,1534733,1595966,1612109,1715032,1728113,1828958,1929411,1998509,2414404,2461133,2649688,2759486,2864883,2980899,3223886,3344609,3410575,3583768,3803873,3919406,4031739,4092690,4365536,4382366,4490609,4517272,4604813,4743604,4828312,4872250,4911228,4946993,5075726,5081931,5174753,5318859,5431851,5629409,5673268,5761048,5846700,6137668,6236480,6331975,6481179,6685793,6693208,7016040,7024013,7483776,7500955,7529859,7598370,7771323,7893045,7997453,8104928,8245528,8258609,8419248,8469015,9001146,9033616,9118044,9176152,9251575,9276219,9471654,9874839,10162818,10323171,10370573,10416088,10715650,11035672,11101890,11105453,11215409,11257646,11345368,11471693,11588815,11718099,11842016,11966055,12201773,12274072,12415131,12763539,12763792,12858780,12892888,13294958,13322268,13327073,13365338,13507853,13716032,13760609,13808331,13906578,13926055,14192993,14359266,14428011,14504499,14646686,14731853,14776971,14906548,15056728,15430536,15447533,15674155,16440926,16497019,16555450,16711266,16879623,16908952,16938819,17081453,17359353,17525848,17654068,17681009,17780558,17927213,18208109,18626091,18670766,18733409,18808986,19022571,19093340,19115006,19361393,19604909,19682968,19716579,19866540,20125409,20347195,20402273,20689755,20846404,21106958,21117355,21161009,21190976,21515455,21755908,21847409,21941563,22069072,22143339,22208558,22257713,22391650,22428446,22598753,22802993,22830099,22912008,23278433,23380109,23481713,23567170,23786093,23839848,24044215,24416634,24813698,24827706,24896609,25196815,25340826,25487539,25498673,25776009,25818546,25828888,25832033,26131373,26330573,26361806,26819829,26869980,26893409,27276200,27336603,27656923,27815393,27973912,28110413,28280604,28372109,28483147,28526846,28600673,28661312,28776903,28853058,28958126,29057499,29504152,29737613,29769953,29775459,30118543,30167650,30236178,30254093,30627883,30640109,30685725,30727192,30878259,31122555,31216973,31345090,31470651,31504433,31990315,32132404,32212803,32236109,32243976,32543575,32559832,32612619,32616173,32731440,33026558,33027508,33121133,33192171,33197392,33561293,33876446,33968609,34568091,34810253,34913536,34965473,34999768,35130715,35275313,35446975,35448140,35460833,35615213,35913688,35984909,35995450,36063055,36192871,36201180,36255002,36274473,36353453,36384113,36410770,36412286,36530625,36629811,36751409,36822870,36995633,37131352,37347066,37614108,37755533,37836051,38178893,38269409,38348575,38388378,38614592,38651992,38966000,39052290,39080813,39136046,39205855,39277728,39374739,39509890,39529073,39704068,40153613,40177166,40272173,40402899,40474648,40592606,40690210,40736059,40804109,40892513,41013723,41039693,41385112,41489455,41655776,41772771,41918573,41992412,42122609,42156858,42180833,42248606,42536370,42537768,42661166,43026490,43136909,43194540,43204312,43275666,43441416,43483491,43654733,43690046,43692924,43836750,44005843,44187444,44198513,44376843,44510558,44778700,44852909,45021208,45051233,45136109,45372128,45503403,45533979,45556315,45643853,45700450,45992155,46018290,46068386,46074176,46221591,46443859,46456433,46558251,46759200,46818509,46862748,47047026,47234609,47411868,47566193,47649891,47854989,47979053,48198509,48266155,48505348,48604851,48648088,48690413,48828252,48871593,48881009,49086176,49385246,49620655,49774253,49787346,49787726,49876480,50578733,50640200,50648859,50712113,50752299,50969842,51043644,51347023,51349553,51518650,51591758,51631788,51663448,51745613,51792860,51826255,51831802,51833448,51871515,52008653,52527399,52604100,52829575,52871009,52880971,52922993,53296948,53647409,53724653,53734440,53776109,54667578,54729099,54770126,54840540,54972952,55178609,55190586,55221948,55280199,55329616,55380593,55917199,56008493,56048403,56111040,56180803,56432609,56442700,56606573,56737886,56970225,56986611,57034455,57052109,57175409,57316736,57325406,57470513,57716366,57919386,57974872,58121379,58194370,58312629,58445873,58455843,58496576,58591073,58711853,58880609,58952813,59270650,59288813,59312753,59392255,59432333,59468558,59518963,59544786,59851776,59956109,59989160,60428909,60436958,60451245,60593633,60633604,60768240,60836752,61132109,61160815,61209086,61249474,61394179,61411373,61491268,61822380,61844571,62151432,62173409,62191506,62245818,62865490,62926733,63021219,63085409,63124920,63395490,63491633,63536609,63805793,63959512,64029233,64258072,64464926,64473713,64481328,64495853,64606433,64630203,64760909,64819456,64877372,65080450,65090609,65184295,65221731,65224958,65265713,65749912,65808648,65811980,65943872,66004193,66171758,66176859,66348370,66712109,67114958,67333248,67453409,67487805,67533771,67565659,67621856,67731240,67768109,67866926,68039393,68226413,68311108,68364270,68392109,68431192,68441346,68937946,68947553,68951650,68968013,69043515,69212909,69317511,69328555,69375533,69820109,69833244,69904555,69920361,70180973,70356979,70420109,70479713,70513048,70519409,70851758,70886650,71015535,71044539,71056855,71124780,71270706,71345633,71573755,71954451,71984909,71986992,72119393,72234353,72246656,72264291,72272609,72290331,72406253,72502556,72541494,72558509,72604315,72698558,72814060,72921888,73087373,73349453,73352890,73392978,73433246,73461293,73646416,73647053,73968651,73989800,74034729,74074648,74153523,74186856,74199533,74510215,74637748,74667352,74713406,75371873,75438588,75476404,75584609,75629359,75708173,75722695,75749904,75851992,75866432,76074588,76163693,76197645,76337453,76529966,76596593,76651855,76836833,76985091,77028055,77092493,77263747,77568004,77648609,77696571,77877579,77959255,77961884,78064109,78096540,78221154,78261773,78332126,78402628,78747298,78781975,78819508,78831713,78974376,79040909,79048958,79062891,79088993,79104472,79327179,79360109,79437003,79597409,79618044,79707533,79794903,79942193,80113133,80258290,80342625,80574413,80681009,80985366,81088493,81252833,81277488,81312353,81356909,81539726,81696113,81699943,81949658,82037124,82054552,82132899,82388631,82422446,82475873,82558468,82721455,82741980,82828973,82852218,82898993,83038433,83107853,83194266,83238525,83302976,83333979,83356109,83397233,83460213,83492909,83601773,83737133,83858273,83885466,84000771,84336353,84351758,84362609,84578455,84616483,84842573,84881009,85027090,85063980,85173293,85218642,85223693,85268226,85333491,85349736,85511009,85698800,85888506,86180909,86359409,86418509,86803553,86894962,87064219,87078113,87125178,87314573,87359213,87376872,87387295,87646253,87689933,87705970,87917153,87918004,88023468,88225133,88235633,88258112,88265947,88392173,88485233,88500686,88738228,88750433,88787760,88790753,88815448,88820909,88842686,88846173,88871009,88992531,89147873,89341793,89412258,89490874,89550231,89551409,89609455,89738609,89849393,90040493,90210353,90254573,90255459,90368609,90412109,90498509,90544046,90652013,90668909,90734912,90794609,90798043,90866392,90867234,90902093,90975713,91000109,91016333,91191988,91205655,91248619,91263713,91372913,91419233,91437174,91586609,91757453,91786733,91894766,91982226,92079473,92107313,92127308,92183213,92251373,92285153,92311371,92433666,92464109,92655003,92681960,92705979,92767853,92810609,92900909,92989409,93093233,93228868,93255053,93260513,93341453,93352109,93415373,93551106,93570206,93583409,93617933,93715848,93725359,93784673,93844109,93897773,93945953,94026893,94041604,94121009,94180109,94248653,94285613,94303793,94336013,94381409,94538370,94564493,94596833,94616909,94625393,94629106,94706944,94734446,94741553,94784609,94818509,94852639,94853188,94856813,94900109,94947953,94952909,94998509,95005409,95021153,95022413,95039213,95055473,95072609,95075213,95103053,95104109,95110193,95115233,95116913,95119853,95120813,95250712,95966059,96018453,96068404,96220958,96309948,96411150,96522370,96708952,97286032,97825015,97858958,97940103,98298981,98482780,99265746,99290376,99320846,99620632,99644126,99863650,99886230,99917379,...,1747423561467266704531204428309261161878262874798765450832560973630456388449027098307862909077105869304259794566086486845758923816863246300430479550656368996907532512017680768029628608514798170084532735318274182949876840022615067814496680225027996048130628788299014649434247921148438763284616673604290577603986884520201906033341797852144776218472266800216300441203145045932186580284150996468726480731970776352079639091425038197081527245505887538053611786267494384775884839545887858881852371659023872183337728691198748501822347677635175407089213953700555715204008005248491091628059962245344825515894781792037742401572984930564398909887059379522383833491711558533540242430395376044282010774419817250585374644992671924283317385559616027971088363405278341454671909436861151593086644659643424512100464272630706462638765729671782304556995688782306192897836271894054377725080046632727323746973096214354908679810389359439088016561539457091529901487613049724162342837035310589571167653391173650488652745389106418432103982986947386463880666358678679588637180367772339262906119346294004071430457130591715196006236617867442565537283466443769025987531987832963952216195599955713285479257104652626701284174298678523512873138175431516002458104285059655919760311229489571568268118697564506350464605078690709851668031126246624563059604934058655338839431393883767659253445060505771459169381486120743249726088126877558026237481085251817265677417438615801909639518374642736779525547990618300647897963408098156934883862204843879211112196785004780866297046548385225929952453077469781458181726120268413416960368397029192258992241593437795439313325008545415663020298998849640883436097051857101393399253815078551754083988453509180381556625986848563231248742476121595422322165408869116990679173489251210327460650017940293407517485695335643099713278835437898365577188161577901386832877720267513059528836355478690400683122407351486638060272174836410955680298205436052892798549706718880204960238722912361385660844081854005111974934650257809845182533105580767298705773579127767913119795681073993878007275132490444269719607115690262841741055437056871142232650901592162569780027851011487232511779095844442949779946503455913220417092741576539832381293677023507996849921789416393107900213577914375019592675957934288640933410057205988244428340657058689142807208735492397383669888744049742585825380408903041696445073777503257324904408192880982396390596995641396429225618818938938219680746881909849802798768008684764838016996418325461426196458958927839570356768206834610472938788813826351310293115979650059999523904170517327917169779211116376641667103740832132113388738557302817478896480904646148071953386098281778172938786030239061331448401599970760806452599581275589223134087421410346589006957921496725693653453044318615030539303182903377011023096131212972037862465006179124972859380316062643620041117636530087350011246336951243043738282103984926151215600047944746727158568192857854254390747647292245348214010927497317217251358361885536281150197464309499351870946645870693366770816120255910675439798636488007435323193341900347153380370009}
19507  43640375817484492306507648303745638198461996063115790738921618953970286: {19507,156008,175509,1266785,1500653,1520142,1850885,2143790,2221062,2318477,2393949,2572548,2743437,2786069,3018005,3135797,3312110,3621606,3819844,3952613,3974532,4070693,4139229,4224773,4304417,4479710,4714886,4835829,5040917,5375652,5456920,5646590,5821829,5856557,5879109,5929505,6035390,6139035,6289133,6548304,6573549,6775908,7028309,7091585,7091812,7115406,7201310,7214837,7242468,7284398,7308375,7366842,7613589,7672085,7795600,7843589,7904414,8029133,8366510,8509902,8641572,8770050,9114077,9206502,9354720,9358817,9656213,9852326,9927197,9978368,10039812,10131160,10306910,10361764,10524060,10739813,11168318,11225664,11254238,11281277,11292020,11397555,11460173,11470190,11642462,11882117,12001528,12157392,12368292,12576974,12628872,13020110,13166452,13174637,13273766,13394849,13501719,13550424,13677066,13764228,13794590,14181710,14207481,14215757,14319173,14675102,14795333,14802520,15149213,15244227,15335117,15342590,15410369,15596669,15624132,15837998,15954740,16073475,16116110,16549397,16553508,16652835,16873373,16886469,16920917,17010662,17018052,17145040,17222597,17360813,17482853,17763024,17927429,18411108,18430529,18542104,18633185,18820910,19145688,19227149,19237348,19288170,19310438,19339332,19702628,19942437,19983402,20048007,20108198,20147873,20507678,20574048,20859867,20860193,21136190,21441614,21538899,21779909,21907310,21970029,22067585,22122797,22281688,22359822,22506164,22515893,22585092,22600277,22668206,23145804,23245013,23866675,24096497,24477173,24603710,24661389,24722933,24833175,24834788,25066899,25078648,25363428,25816133,25904189,25964549,26058005,26079086,26193533,26288772,26481102,26488720,26603777,26670837,26886293,26967317,27109118,27194885,27250469,27586340,28006149,28213479,28308053,28470689,28489853,28635398,28640010,28672509,29047718,29473793,29524452,29799810,29810222,29921597,30338726,30440132,30549344,30624797,30908357,31066718,31190126,31269606,31424477,31660437,31786464,31911989,32286110,32489933,32555512,32633862,32709854,33103608,33312837,33587475,33642669,33776597,33787768,33820493,33946637,34095250,34242749,34348673,34368012,34424728,34664069,34967390,35350755,35415317,35513693,35737613,35759772,35826640,35851166,35909429,35912993,36211973,36448804,36624951,36665726,36880190,37203653,37220547,37241559,37707472,37803773,38011239,38076737,38369204,38408990,38470744,38727819,38743332,38974574,39138062,39241757,39393557,39401573,39542709,39700612,40133909,40165505,40291598,40304970,40314904,40699790,40914300,41171012,41284385,41496740,41960868,42420906,42567077,42790269,42950404,42991968,43252397,43279587,43437189,43483492,43555334,43641920,43749710,43908989,43940006,44241038,44256228,44310175,44892110,44898542,45205517,45251475,45354267,45636998,45913589,46090788,46414190,46872638,47017635,47276669,47367902,48100037,48101333,48181166,48198606,48268240,48314990,48365964,48413414,48426209,48465902,48533573,48707500,48839748,49097160,49398686,49539837,49541262,49630085,49796088,50152144,50448068,50593310,50728013,50814669,50894069,50920766,51184504,51599777,51731390,52069720,52370304,52490515,52499652,52714022,52963454,53172210,53232158,53488733,53870532,53993175,54005390,54301770,54382503,54495326,54518753,54616155,54618429,54684964,55234305,55697028,55964573,55973375,56020599,56209144,56225813,56276510,56421162,56610278,56679893,56715160,56717024,56856917,56935502,57531173,57582567,57592720,57700888,57921888,57977988,58257232,58272653,58449000,58560293,58578435,58704069,58916592,58941518,59169124,59264835,59413793,59537477,59556102,59706302,59810069,59877293,60265749,60631685,60671204,60711972,60810110,60868349,60888909,61035315,61197062,61357720,61628788,61698917,61857989,62077668,62345600,62483664,62729368,62794493,62988618,63215824,63235287,63300250,63372909,63533188,63804555,63806652,63817406,63821633,63951518,63991749,64270817,64440614,64539735,64579310,64741075,64791810,64806468,64815317,64913499,65104336,65162124,65300126,65333933,65535069,65539386,65669909,65750789,65755125,66047069,66281166,66370493,66383128,66444974,66516797,66574958,66621185,66765837,67143509,67168050,67531812,67546238,67669732,68058192,68478446,68550675,68716190,68842384,68843237,69027435,69102579,69111264,69162020,69170789,69216413,69529697,69773813,70036532,70138800,70185089,70294122,70508078,70510502,70553375,70570539,70677269,71117802,71645920,71797733,71818574,71961653,72468590,72758022,72890104,72931709,72972132,73041197,73120720,73242378,73587448,73629264,73706932,74077869,74681019,74681589,74731204,74814720,74833118,74985089,74986450,75792005,75960300,75982148,76045940,76454763,76565466,76613093,76864085,77225848,77277975,77387637,77447682,77495172,77556869,77689290,77713517,77747703,77750172,77941124,78047489,78795014,78863153,78906150,79201973,79393048,79508093,79802368,79945422,79949390,80322590,80601660,81024320,81096715,81952046,82001367,82152302,82155189,82187390,82260810,82264975,82429840,82458389,82459428,82785879,82832922,82868576,82922008,82994424,83187662,83344373,83795909,83926817,84028292,84166560,84527320,84620333,84664050,85106829,85125278,85388885,85412006,85538990,85872413,85975104,85988109,86173604,86267969,86574549,86879079,86896862,86962308,86965397,87168053,87291555,87409709,87744864,87838049,88141310,88235812,88541933,88905975,89202837,89317179,89777664,89983740,90044126,90045028,90308320,90474017,90628195,90655437,90950406,91017575,91152360,91255128,91741253,91813629,91817702,91874211,92058020,92236902,92404877,92423348,92487250,92593310,92717729,92733570,93110992,93227148,93287259,93297185,93334190,93368727,93528554,93531869,93904973,94025573,94298235,94345505,94687380,94726052,94814990,94833040,95027608,95093235,95535797,95848766,95939268,95982656,96192614,96219398,96352388,96387108,96697389,96721992,96960005,97053806,97136222,97229184,97316058,97452355,97555157,97620675,97837437,97857304,97998977,98003285,98228309,98450822,98524385,98563493,98624868,98712972,98717970,98871364,98880590,98915808,99257637,99319157,99522555,99786086,99962693,...,2329898081956355606041605904412348215837683833065020601110081298173941851265369464410483878769474492405679726088115315794345231755817661733907306067541825329210043349356907690706171478019730893446043647091032243933169120030153423752662240300037328064174171717732019532578997228197918351046155564805720770138649179360269208044455730469526368291296355733621733921604193394576248773712201328624968640975961035136106185455233384262775369660674516717404815715023325846367846452727850478509136495545365162911116971588264998002429796903513567209452285271600740953605344006997988122170746616327126434021193042389383656535430646574085865213182745839363178444655615411378053656573860501392376014365893089667447166193323562565711089847412821370628117817873704455272895879249148202124115526212857899349467285696840941950185020972895709739409327585043074923863781695858739170300106728843636431662630794952473211573080519145918784022082052609455373201983484066298883123782713747452761556871188231533984870327185475224576138643982596515285174221811571572784849573823696452350541492461725338761907276174122286928008315490489923420716377955258358701316709317110618602954927466607617713972342806203502268378899064904698017164184233908688003277472380079541226347081639319428757690824930086008467286140104920946468890708168328832750746139912078207118452575191845023545671260080674361945559175314827657666301450835836744034983308113669089687569889918154402546186024499523649039367397320824400863863951210797542579845149606458505614816262380006374488396062064513634573269937436626375277575634827024551222613824529372256345322988791250393919084433344727220884027065331799521177914796069142801857865671753438069005445317938012240508742167982464750974998323301495460563096220545158822654238897985668280436614200023920391210023314260447524132951038447250531154102917548770535182443836960356684079371781807304920534244163209801982184080362899781881274240397607248070523731399608958506939946984963883148514214458775805340149299912867010413126910044140774356398274364772170357217493060908098658504009700176653925692959476154253683788988073916075828189643534535456216759706703801348649643349038794459257266373262004607884293889456988768719776508391569364677329133229052555190810533618103885833359456901277245718187911213409607984325904454209411585523742944980656529844893184992066323447767173878537388928593431703337676433205877590507976528520795994188528572300825091918584292907662509213133070398357344913019784022661891100615234928611945237119427142357609112813963918385085101801747057487972866746666031872227356437222893038948155168855556138321109509484518318076403756638528641206194864095937848131042370897251714706985415108597868799961014408603466108367452297512116561880462118675943895328967591537937392424820040719070910537836014697461508283962717149953341572166630479173754750191493388156848706783133348328449268324058317709471979901534954133397259662302878090923810472339187663529722993797618681236663089623001811149180715041533596619079332469161262194494257822361088160341214233919731515317343247097591122533796204507160012}
19508  43811776030948572393753363230923882749218345264558615716413105165913433: {136507,195010,234012,370291,603787,662626,720427,896218,1129666,1186267,1302547,1440706,1534891,1673818,2026856,2280213,2294746,2461387,2837218,2961416,3069466,3191932,3215685,3224218,3331593,3430064,3456226,3657916,3842491,3858822,3997018,4643347,4774805,4828808,4922266,4968165,5213227,5299376,5326987,5432409,5518972,5729766,5961798,6447772,6689218,6719565,6821150,7024747,7072329,7167536,7607746,7838812,8035627,8063478,8185380,8371291,8469885,8706307,8731072,8764732,8864765,8981218,9034544,9053085,9209626,9485491,9487208,9656624,9744500,9822456,9893986,10151452,10163862,10349506,10501337,10637718,10673109,10801965,10863702,10926597,11050263,11258818,11346536,11522096,11693400,11856621,12275336,12472960,12549765,12663950,12764853,12952205,12962358,13155075,13371586,13386416,13809753,14032080,14048026,14086507,14115025,14778489,14967552,15001910,15059718,15196740,15460365,15484891,15542646,15786090,15994906,16209856,16224341,16458065,16491056,16517218,16752477,16838496,16881357,16938030,17205285,17463693,17929147,18002292,18067232,18236088,18350347,18352304,18503150,18552438,18865461,18943308,19398307,19496477,19530165,19711291,19749678,19910649,19943425,20325636,20515599,20646342,20691885,20741146,20749891,20832176,21272565,21431300,21943817,21986707,22012653,22071344,22203780,22210906,22430818,22515292,22690736,22943386,23013885,23177630,23314891,23436198,23518147,23619667,23684032,23756997,23932110,24046685,24126187,24174165,24403546,24548144,24628285,24830262,25033387,25515993,25527078,25527584,25717560,25785776,26134267,26333491,26589916,26644536,26654146,26730676,27015706,27432064,27521218,27522787,27616662,27813156,27818491,27852110,28132705,28231365,28309891,28385986,28486073,28603867,28718532,28856022,28932255,28965657,29008998,29092387,29293372,29463706,29553942,29564297,29579107,29773291,29813096,29975103,30113456,30121637,30162297,30761517,30861072,30895066,31028467,31043485,31220491,31348310,31704285,31890307,32162421,32860965,32881852,32994038,33110900,33422532,33539733,33661901,33759246,33817904,33877638,34002309,34162906,34482925,34718706,35000491,35051696,35186467,35275541,35279347,35308136,35362018,35561116,35854426,36196589,36388291,36416218,36905565,37030387,37252182,37341532,37466818,37617972,38045142,38050165,38186680,38230012,38722786,38845507,39115291,39118629,39209818,39365936,39433158,39721653,39733080,40047733,40187947,40250818,40631827,40663677,40694390,40804546,41379510,41692808,42040147,42213916,42234710,42322018,42381952,42773393,42824227,42953097,42960015,43030910,43511816,43571577,43694818,43883126,44138144,44286678,44417116,44515426,44699715,44715333,44783300,44786441,44856892,45056587,45197506,45508089,45561005,45605986,45660198,45824016,46070491,46322347,46556866,46600077,46760218,46785189,46904409,46963426,47134340,47489107,47571907,47572186,47679696,47961505,48088430,48429165,48833268,48950793,49064781,49183001,49625765,49627396,49655412,49793218,50344267,50393630,50488277,50681652,50975078,50997346,51142875,51463765,51552018,51637092,51657776,51664066,51778291,51870925,52262746,52451085,52661146,52723612,52955491,53639658,53688005,53731291,53739960,53776749,53786818,54165529,54354365,54552400,54673206,54888197,54998589,55313846,55320285,55630786,55947824,56220826,56240347,56561208,56744218,56911027,56966294,57053692,57201346,57322624,57354907,57553806,57613485,57649387,57706116,57916252,58085237,58114998,58380547,58461861,58707093,59008304,59320291,59475226,59539906,59550918,60237086,60247867,60335300,60437397,60457455,60472356,60508186,60742291,60884375,60953107,61049685,61255766,61280218,61371450,61454384,61651147,61756518,61872877,62245110,62433946,62495693,62684707,62690180,62941302,63008866,63060085,63631359,63778841,63836491,63980630,64037587,64264808,64304707,64389017,64425606,64472218,64487952,64504291,64636987,65087150,65119664,65225238,65232346,65333001,65462880,65624565,65910009,66053116,66055016,66242266,66361557,66384342,66394784,66976267,67122586,67338165,67347813,67572617,67752892,67937218,68173267,68274613,68356205,68455497,68792827,68977291,69136182,69161107,69468917,69620506,69621285,69827072,69889891,69930946,69999536,70261430,70308957,70550626,70893950,70896280,70921666,71051853,71230426,71827376,71969818,71990900,72071707,72126110,72129307,72271749,72297909,72385742,72402360,72472485,72510004,72548946,72556757,72620121,72698853,72706906,72768226,72821540,72824572,73061250,73097491,73259622,73266187,73490107,73502818,73545907,73645740,73657291,73961405,73991266,74098029,74099947,74262704,74311893,74646787,74694132,75228216,75511066,75672102,75839005,75889965,76357786,76381149,76504027,76538818,76697150,76776756,76864891,77035985,77229184,77303984,77597085,77932000,78104580,78161626,78272092,78411710,78555456,78713707,78749478,79019780,79058146,79071033,79100491,79339891,79408136,79416485,79445181,79672027,79719187,79758315,79813291,79848237,80140387,80307226,80354332,80544346,80805798,80949296,81008085,81185212,81380420,81452655,81472118,81546547,81608218,81722947,81742989,81785026,82027446,82079386,82502491,82587667,82630147,82770224,82978910,83149157,83311552,83464627,83545542,83628067,83684557,83837146,83984824,84245218,84313716,84361666,84414765,84497212,84587165,84631743,84739891,84915417,85072740,85075536,85312291,85322332,85403253,85625141,85684891,85868491,86052980,86273818,86389080,86408624,86452525,86551332,86828827,86882832,86966982,87035107,87309466,87339667,87373147,87380092,87385848,87506347,87539467,87545665,87673500,87866707,88011686,88249891,88374888,88397026,88412277,88653307,88714291,88753686,89021116,89103667,89334153,89366107,89557400,89559453,89650867,89705818,89873491,90042416,90102466,90225427,90272218,90278491,90590827,90744256,90793291,90843187,90868027,91006806,91067958,91112630,91215165,91258013,91279291,91287706,91311701,91400900,91795593,91984310,92036580,92102467,92123347,92133665,92136772,92148352,92443182,92659891,92697547,92753491,92790427,92887718,92912866,92935291,93058267,93116502,93244387,93277291,93414005,93468667,93518400,93620227,93637018,93725496,93806491,93901747,93915067,93980587,94069291,94094052,94106227,94189891,94270027,94469218,94479547,94482927,94582507,94643491,94724491,94776907,94819027,94823736,94877347,94950375,94976491,94977685,95013067,95041291,95057425,95117107,95129491,95132386,95134891,95137267,95139427,95140291,95299782,95592241,95709978,95726109,95927277,95958106,96397018,96532310,96660921,96868965,97010696,97059977,97187715,97209702,97296176,97380826,97426405,97656504,97743186,97762018,97866377,97950189,98172352,98309079,98770492,99241310,99421749,99479597,99548506,99574692,99575452,99667461,99752960,99862437,...,3494847122934533409062408856618522323756525749597530901665121947260912776898054196615725818154211738608519589132172973691517847633726492600860959101312737993815065024035361536059257217029596340169065470636548365899753680045230135628993360450055992096261257576598029298868495842296877526569233347208581155207973769040403812066683595704289552436944533600432600882406290091864373160568301992937452961463941552704159278182850076394163054491011775076107223572534988769551769679091775717763704743318047744366675457382397497003644695355270350814178427907401111430408016010496982183256119924490689651031789563584075484803145969861128797819774118759044767666983423117067080484860790752088564021548839634501170749289985343848566634771119232055942176726810556682909343818873722303186173289319286849024200928545261412925277531459343564609113991377564612385795672543788108755450160093265454647493946192428709817359620778718878176033123078914183059802975226099448324685674070621179142335306782347300977305490778212836864207965973894772927761332717357359177274360735544678525812238692588008142860914261183430392012473235734885131074566932887538051975063975665927904432391199911426570958514209305253402568348597357047025746276350863032004916208570119311839520622458979143136536237395129012700929210157381419703336062252493249126119209868117310677678862787767535318506890121011542918338762972241486499452176253755116052474962170503634531354834877231603819279036749285473559051095981236601295795926816196313869767724409687758422224393570009561732594093096770451859904906154939562916363452240536826833920736794058384517984483186875590878626650017090831326040597997699281766872194103714202786798507630157103508167976907018360763113251973697126462497484952243190844644330817738233981358346978502420654921300035880586815034971390671286199426557670875796731154376323155802773665755440535026119057672710957380801366244814702973276120544349672821911360596410872105785597099413437760409920477445824722771321688163708010223949869300515619690365066211161534597411547158255535826239591362147987756014550264980888539439214231380525683482110874113742284465301803184325139560055702022974465023558191688885899559893006911826440834185483153079664762587354047015993699843578832786215800427155828750039185351915868577281866820114411976488856681314117378285614417470984794767339777488099485171650760817806083392890147555006514649808816385761964792781193991282792858451237637877876439361493763819699605597536017369529676033992836650922852392917917855679140713536413669220945877577627652702620586231959300119999047808341034655834339558422232753283334207481664264226777477114605634957792961809292296143906772196563556345877572060478122662896803199941521612905199162551178446268174842820693178013915842993451387306906088637230061078606365806754022046192262425944075724930012358249945718760632125287240082235273060174700022492673902486087476564207969852302431200095889493454317136385715708508781495294584490696428021854994634434502716723771072562300394928618998703741893291741386733541632240511821350879597272976014870646386683800694306760740018}
19509  43983844640493222985096299352217801352523669230462492034781743795060613: {39014,292515,312016,351018,993939,1344327,1694499,1773499,2161059,2510727,2533570,2591239,3001306,3040284,3292627,3442119,3701770,3989915,4225207,4255827,4287580,4442124,4572395,4604199,4636954,4787898,4810819,4836327,5145096,5184339,5486874,5572138,5788233,5995527,6036010,6210611,6271594,6624220,6898715,7029031,7243212,7383399,7612379,7639688,7905226,7949064,8059715,8141386,8278458,8301307,8449546,8594649,8608834,8775107,8942697,8959420,9429772,9595259,9671658,9798515,9928219,10033827,10081834,10231725,10295927,10740919,10751304,10913840,10955915,11293180,11411619,11643658,11713114,11758218,11859010,12070780,12095217,12180625,12278070,12578266,12689315,12977819,13096608,13147098,13471827,13551816,13814439,14056618,14183170,14183624,14230812,14402620,14429674,14484936,14568796,14616750,14733684,14840979,15172487,15227178,15245793,15344170,15524259,15591200,15687178,15808828,15888199,15956577,16058266,16295553,16733020,16888227,16922659,17019804,17283144,17540100,18228154,18413004,18432427,18688567,18709440,18717634,18995925,19312426,19443537,19491299,19704652,19854394,19941259,19956736,20057379,20079624,20262320,20613820,20723528,21048120,21072039,21479626,22298827,22336636,22451328,22502865,22508476,22518211,22562554,22584040,22589577,22795110,22823207,22920346,22940380,23284924,23313969,23441147,23679135,23688827,23764234,23992359,24003056,24314784,24725479,24736584,24775827,25153948,25257744,25407045,26040220,26086459,26332904,26349274,26362439,26487179,26547532,26789125,26789698,26931379,27003438,27100848,27354132,27471379,27528456,27589180,27754725,27828657,28144115,28363420,28414962,28431514,28638346,29350204,29356739,29590666,29605040,29624517,29859299,30298426,30488454,30670234,30685180,30820738,30894619,30911539,30969513,31111719,31193338,31248264,31675996,31909480,32146950,32232220,32656787,33098794,33107016,33229331,33237395,33294347,33305670,33316359,33413345,33646227,33746746,33772938,33841834,34021324,34036104,34290080,34415079,34445194,34721626,34766445,34965706,35154297,35526048,35854858,35898165,35913127,36481207,36605319,36616715,36717547,36822216,36861058,37040327,37084208,37227059,37245393,37266370,37424267,37641820,37940359,38039111,38072839,38290617,38291376,38454298,38474696,38576340,38620876,38678664,39405256,39884874,39966804,39981219,40096014,40138051,40216396,40295746,40523559,40966627,41015356,41102315,41148096,41281827,41388625,41424993,41719734,41720386,41778165,41825267,42272380,42578979,42883228,43077798,43284033,43513497,43559818,43814620,43940058,44135170,44195559,44245594,44330913,44451395,44563376,44719644,45012328,45031786,45170184,45200554,45336412,46291608,46342599,46490026,46676915,47022465,47691719,47733350,47787515,48192994,48954346,49207420,49322778,49445866,49491057,49666350,49669576,50048171,50133798,50157296,50350427,50631911,50638869,50726856,50816457,51244359,51632266,51808378,51929098,52078059,52116010,52158172,52387066,52577544,52767395,52962204,52977440,53043027,53207554,53341674,53772586,53781639,53804519,53934634,54218236,54389770,54500938,54503027,54624327,55172680,55521395,55872427,55878273,55979125,56012298,56071115,56200227,56231707,56426958,56616106,56761091,56817179,56941378,56979706,57067713,57270796,57280020,57345018,57357859,57670339,57798139,58084179,58095436,58278667,58814727,58917925,58947586,59048904,59149737,59599620,59620444,59843194,60114419,60376227,60677452,60880264,61041585,61098688,61206819,61249594,61816714,62034245,62069265,62133436,62380252,62539212,62670347,62848954,63320874,63352065,63483027,63572928,63823978,64546365,64572220,64707767,64979866,65111024,65267724,65419708,65542227,65824689,65857639,65904515,66207216,66403651,66430017,66625674,66773139,66884147,67174950,67285338,67500071,67553194,67575536,67640986,67796259,67893274,68190500,68408979,68485498,68490297,68697346,68736024,68849456,69207619,69328138,69482119,69835299,69934780,70140327,70445139,70684627,70701510,70713971,70830634,71027386,71317115,71358279,71475226,71519544,71653280,71702332,71818858,71825986,72132645,72139027,72395315,72423946,72897608,73249902,73331452,73486721,73760380,74204279,74407306,74441094,74483118,74689827,75414944,75419125,75579911,75590445,75597479,75607546,76022478,76153474,76284899,76462617,76496019,76738408,76817980,76941488,77328027,77455638,77486664,77496099,77949148,78055627,78276124,78362725,78394119,78483514,78787114,78803146,78991719,79085418,79210147,79401224,80267818,80331010,80459487,80583196,80609940,80629808,80680227,81037259,81178631,81399580,81634279,81828600,82009809,82342024,82566395,82568770,82970769,82993480,83446179,83921736,84331239,84691115,84841812,84884359,85116327,85134154,85221827,85449441,85580538,85802019,85900808,85983936,86330709,86504794,86559174,86874378,86966984,87110668,87172497,87283840,87398459,87499420,87817978,87880012,87935111,88141171,88482076,88512456,88620350,89212839,89309859,89326377,89784220,89797084,89988625,90355629,90411034,90502950,90637505,90708534,90762279,91026925,91030715,91273996,91770947,91827178,91883649,91920327,92057175,92181576,92634777,92828380,93269659,93367665,93650919,93745276,94035270,94411953,94513299,94553338,94735804,95970945,96200074,96202666,96362332,96397212,96536480,96536627,96629980,96638409,96708327,96731928,96826828,96852418,96931804,97067146,97415000,97630725,97679496,97762247,97837857,97840115,97848519,98194320,98774725,98797372,98958631,99079674,99082524,99260170,99363399,99429619,99576513,99592176,...,5242270684401800113593613284927783485634788624396296352497682920891369165347081294923588727231317607912779383698259460537276771450589738901291438651969106990722597536053042304088885825544394510253598205954822548849630520067845203443490040675083988144391886364897043948302743763445316289853850020812871732811960653560605718100025393556434328655416800400648901323609435137796559740852452989406179442195912329056238917274275114591244581736517662614160835358802483154327654518637663576645557114977071616550013186073596245505467043032905526221267641861101667145612024015745473274884179886736034476547684345376113227204718954791693196729661178138567151500475134675600620727291186128132846032323259451751756123934978015772849952156678848083913265090215835024364015728310583454779259933978930273536301392817892119387916297189015346913670987066346918578693508815682163133175240139898181971240919288643064726039431168078317264049684618371274589704462839149172487028511105931768713502960173520951465958236167319255296311948960842159391641999076036038765911541103317017788718358038882012214291371391775145588018709853602327696611850399331307077962595963498891856648586799867139856437771313957880103852522896035570538619414526294548007374312855178967759280933688468714704804356092693519051393815236072129555004093378739873689178814802175966016518294181651302977760335181517314377508144458362229749178264380632674078712443255755451797032252315847405728918555123928210338576643971854901943693890224294470804651586614531637633336590355014342598891139645155677789857359232409344374545178360805240250881105191087576776976724780313386317939975025636246989060896996548922650308291155571304180197761445235655262251965360527541144669877960545689693746227428364786266966496226607350972037520467753630982381950053820880222552457086006929299139836506313695096731564484733704160498633160802539178586509066436071202049367222054459914180816524509232867040894616308158678395649120156640614880716168737084156982532245562015335924803950773429535547599316742301896117320737383303739359387043221981634021825397471332809158821347070788525223166311170613426697952704776487709340083553034461697535337287533328849339839510367739661251278224729619497143881031070523990549765368249179323700640733743125058778027873802865922800230171617964733285021971176067428421626206477192151009666232149227757476141226709125089335221332509771974713224578642947189171790986924189287676856456816814659042240645729549408396304026054294514050989254976384278589376876783518711070304620503831418816366441479053930879347938950179998571712511551983751509337633349129925001311222496396340166215671908452436689442713938444215860158294845334518816358090717183994345204799912282419357798743826767669402262264231039767020873764490177080960359132955845091617909548710131033069288393638916113587395018537374918578140948187930860123352909590262050033739010853729131214846311954778453646800143834240181475704578573562763172242941876736044642032782491951651754075085656608843450592392928498055612839937612080100312448360767732026319395909464022305969580025701041460141110027}
19510  44156584234051447521074427025749312003374360223659786176559126105973248: {58521,273014,390020,468024,526527,740582,798229,914761,1031221,1207574,1325252,1440854,1612441,1728469,1792436,2076121,2259332,2372534,2538649,2605094,2654101,2881412,3069782,3347636,3689929,3800355,4053712,4501959,4560426,4589492,4834009,4922774,5359475,5552655,5674436,5922832,6138932,6383864,6431370,6448436,6649561,6663186,6684727,6762421,6860128,6912452,6955431,7181847,7315832,7438069,7684982,7717644,7994036,8223049,8230311,8280275,8358207,9054015,9115849,9286694,9407391,9549610,9657616,9671509,9844532,9936330,10426454,10598752,10653974,10667161,10864818,11037944,11199275,11217781,11327689,11459532,11787215,11857839,11923596,12095029,12212079,12410671,12417687,12674319,12895544,12913251,13378436,13439130,13642300,14049494,14116475,14144658,14267989,14335072,14507487,14914261,15088475,15122751,15129109,15215492,15664969,15677624,16071254,16126956,16370760,16742582,16939770,17412614,17462144,17465487,17529464,17569671,17637327,17729530,17788515,17962436,18001369,18003275,18069088,18106170,18133087,18210995,18417105,18419252,18867399,18970982,18974416,19313248,19365589,19489000,19644912,19720647,19761035,19787972,20199061,20302904,20327724,20406709,20699012,20916275,21002674,21084927,21274755,21275436,21346218,21603930,21644511,21646549,21727404,21853194,21925125,22100526,22365001,22517636,22693072,22840767,22978009,23016255,23041291,23044192,23283541,23386800,23530767,23713242,23993929,24087399,24550672,24630815,24700789,24801481,24945920,25099530,25327900,25529706,25767275,25904341,25904410,25923887,25924716,26203609,26310150,26743172,26772832,27342231,27394201,27619506,27887221,27920795,28064160,28076451,28096052,28135595,28173014,28182169,28230050,28672309,28675475,28770121,28965529,28968639,29106155,29556978,29781591,29935104,30003820,30119436,30393480,30614869,30920730,30969782,31085292,31442435,31572180,31989812,32219439,32419712,32448682,32550275,32916130,32982112,33034436,33184415,33474709,33504954,33663061,33665359,33676992,33762714,33843831,33876060,33945049,34192665,34380519,34410570,34479599,34486475,34927386,35438041,35454275,35623369,35646351,35858294,36004584,36134464,36472176,36687755,36700694,36704608,37006300,37104876,37730922,37886616,38356475,38796614,38992954,39060330,39385787,39422582,39499356,39523911,39594995,39821298,39886850,40051847,40184547,40290275,40340809,40505157,40651272,40960981,41031198,41225689,41292684,41313781,41383770,41482292,41499782,41664352,42190741,42526655,42545130,42622443,42647271,42777787,42862600,42957519,42973849,43460879,43665049,43887634,43973414,44025306,44094709,44142688,44266069,44385999,44407560,44421812,44759231,44861636,45030584,45203401,45372889,45381472,45447639,45732681,45886772,46005351,46027770,46231107,46355260,46629782,46790007,46872396,47036294,47051929,47052275,47239334,47301301,47329139,47368064,47513994,47632789,47864220,47880649,48093370,48210121,48220425,48252374,48276095,48348330,48807092,48947221,49028761,49096288,49256570,49648191,49660524,49840201,49958505,50066774,50270495,50620119,50644441,50659407,50724469,50762751,51031986,51054156,51055168,51269195,51435120,51571552,51667791,52073929,52082439,52268534,52309909,52448559,52666982,52840475,52936021,53179832,53270231,53289072,53308292,53461352,53604035,53782287,53789401,54031412,54404569,54768275,54862921,54864128,54939061,55042436,55045574,55233324,55291587,55394389,55626312,55636982,55704220,55899555,56265410,56462730,56521369,56619782,56670515,56771972,56972146,57207734,57437064,57558601,57681447,57712044,57864510,57931314,58017996,58184774,58509109,58586744,58726729,58927412,59107884,59128594,59158214,59231989,59447449,59546582,59626192,59827311,59950206,60144021,60226912,60243274,60324594,60443619,60444361,60656149,61217749,61509275,61523034,61722144,61790132,62056934,62086970,62189461,62440982,62579601,62580579,62601589,62696620,63408570,63485641,63553141,63780614,63785407,64013807,64324842,64424089,64616697,64755829,65197715,65217241,65339727,65721930,65763704,65805301,65910087,65935189,65988076,66194101,66202755,66221800,66368391,66580309,66845064,67079466,67091221,67146107,67323802,67471381,67518492,67547679,67635808,67755276,67772795,67800831,68004618,68325812,68965850,69027481,69152039,69394249,69437412,69476071,69735039,70000982,70103392,70120009,70372934,70479001,70538581,70551082,70558694,70616272,70724036,71122232,71306569,71365141,71482069,71588495,71600025,71708852,71773129,72049271,72235081,72289491,72292501,72393178,72619295,72749269,72776582,72832436,72983207,73122491,73369801,73431519,73481689,73811130,73984167,74060774,74168799,74311669,74499525,74504364,74525555,74683064,74933636,74963989,75163207,75200697,75235944,75339721,75605941,75764809,75846815,76090284,76096111,76100330,76373360,76460024,76858741,77063509,77445572,77448399,77666795,77691014,77712567,77893647,77975315,78174015,78230582,78237258,78317209,78419636,78464629,78580599,78731872,78806089,78866316,79443306,79466160,79525909,79620661,79811331,79996789,80012511,80095466,80275861,80375894,80501636,80658879,80688179,80715275,80901951,80962201,81142489,81263654,81327354,81388780,81410761,81455221,81584655,81609092,81720469,81751407,81774635,81895861,82113481,82329301,82500661,82759020,83007829,83381401,83385616,83627209,83830069,84018447,84080294,84388501,84427832,84469420,84640437,84644036,84763904,84894409,84924159,85009429,85199689,85238125,85412067,85469559,85546786,85648454,85759669,85833109,85906194,85920030,85942729,86017527,86061820,86761621,86796361,86831029,87003289,87023632,87143154,87389636,87409369,87418475,87476041,87641461,87674329,87766252,88158709,88276288,88284119,88421379,88565401,88573356,88779349,88834232,88869961,89030852,89049241,89167321,89371189,89399430,89430666,89566600,89572882,89627915,89713784,89764791,90070489,90113174,90178201,90204949,90258229,90395012,90416341,90442441,90546121,90699481,90949321,91016178,91047241,91122010,91211972,91310581,91320396,91450549,91542421,91633141,91648032,91664315,91874391,92140982,92200475,92215369,92377801,92457289,92476981,92644694,92725071,92837449,92855701,93034261,93113732,93200154,93385801,93520436,93529799,93570378,93676501,93762901,93808818,93887641,93926852,93967561,94268680,94273431,94283929,94513609,94606489,94821301,94861909,94874869,94893769,94912021,94978214,94981311,94988629,95012569,95017141,95047129,95055049,95080501,95131801,95142601,95143814,95144372,95153941,95158729,95159881,95359392,95698687,95735967,95923010,96022475,96176860,96476567,96858330,97436435,97469799,97666536,97845155,97901586,98129562,98366002,98899931,99251530,99254792,99310824,99586436,99938511,...,6989694245869066818124817713237044647513051499195061803330243894521825553796108393231451636308423477217039178264345947383035695267452985201721918202625475987630130048070723072118514434059192680338130941273096731799507360090460271257986720900111984192522515153196058597736991684593755053138466694417162310415947538080807624133367191408579104873889067200865201764812580183728746321136603985874905922927883105408318556365700152788326108982023550152214447145069977539103539358183551435527409486636095488733350914764794994007289390710540701628356855814802222860816032020993964366512239848981379302063579127168150969606291939722257595639548237518089535333966846234134160969721581504177128043097679269002341498579970687697133269542238464111884353453621113365818687637747444606372346578638573698048401857090522825850555062918687129218227982755129224771591345087576217510900320186530909294987892384857419634719241557437756352066246157828366119605950452198896649371348141242358284670613564694601954610981556425673728415931947789545855522665434714718354548721471089357051624477385176016285721828522366860784024946471469770262149133865775076103950127951331855808864782399822853141917028418610506805136697194714094051492552701726064009832417140238623679041244917958286273072474790258025401858420314762839406672124504986498252238419736234621355357725575535070637013780242023085836677525944482972998904352507510232104949924341007269062709669754463207638558073498570947118102191962473202591591853632392627739535448819375516844448787140019123465188186193540903719809812309879125832726904481073653667841473588116769035968966373751181757253300034181662652081195995398563533744388207428405573597015260314207016335953814036721526226503947394252924994969904486381689288661635476467962716693957004841309842600071761173630069942781342572398853115341751593462308752646311605547331510881070052238115345421914761602732489629405946552241088699345643822721192821744211571194198826875520819840954891649445542643376327416020447899738601031239380730132422323069194823094316511071652479182724295975512029100529961777078878428462761051366964221748227484568930603606368650279120111404045948930047116383377771799119786013823652881668370966306159329525174708094031987399687157665572431600854311657500078370703831737154563733640228823952977713362628234756571228834941969589534679554976198970343301521635612166785780295110013029299617632771523929585562387982565585716902475275755752878722987527639399211195072034739059352067985673301845704785835835711358281427072827338441891755155255305405241172463918600239998095616682069311668679116844465506566668414963328528453554954229211269915585923618584592287813544393127112691755144120956245325793606399883043225810398325102356892536349685641386356027831685986902774613812177274460122157212731613508044092384524851888151449860024716499891437521264250574480164470546120349400044985347804972174953128415939704604862400191778986908634272771431417017562990589168981392856043709989268869005433447542145124600789857237997407483786583482773467083264481023642701759194545952029741292773367601388613521480036}
19511  44329997409504937900906183132306213510102716187690430269778588792908325: {78028,409521,487525,585030,624032,702036,1110873,1656565,1811361,1987878,2161281,2240545,2358169,2688654,2824165,3388998,3546998,3558801,3601765,3643321,3907641,4184545,4322118,4604673,4927681,5021454,5067140,5182478,5585881,5628853,5736865,6002612,6080568,6211249,6401353,6585254,6638929,6840639,6884238,7093045,7339813,7384161,7403540,7613161,7673665,7921441,7979830,8060545,8450414,8507953,8511654,8575160,8640565,8884248,9144790,9203161,9208398,9273908,9575796,9621638,9647055,9658201,9672654,9992545,9994779,10257001,10290192,10368678,10370581,10724113,10973748,11144276,11283601,11337601,11527473,11576466,11991054,12072020,12238453,12305665,12421222,12543188,12617209,13248440,13717921,13797430,13872841,13930041,14058062,14322121,14324415,14486424,14766798,14904495,15174049,15224758,15279376,15338281,15538153,15599881,15639681,15810452,15898128,15980961,16119430,16282772,16297227,16556916,16602614,16723045,16876849,16899092,17052875,17189298,17217668,17516341,17550214,17727721,17765041,17885394,17918840,17931121,18338521,18859544,19019365,19190518,19343316,19597030,19856438,20067654,20152021,20158695,20163668,20463450,20591854,20703001,21015721,21074241,21216987,21481838,21502608,21784393,21827680,21911830,22127353,22453045,22586360,22823238,23024065,23115349,23249809,23287316,23426228,23443561,23516436,23718020,24098041,24101461,24106881,24141560,24190434,24361250,24556140,24734965,25113873,25156532,25378630,25409655,25873765,25955638,26118921,26193216,26198929,26294196,26365153,26594295,26943654,26972881,27064081,27103632,27159255,27256081,27628878,28113236,28147045,28313881,28366340,28367248,28456473,28461624,28805240,28859348,28969872,29137592,29233500,29467368,29479861,29681958,29862373,29927761,30344974,30454356,30491586,30688340,31048518,31182400,31374356,31504011,31617656,31659875,31707961,31776398,31913154,31918561,32019327,32116532,32405895,32591106,32660149,32779791,32810473,33150789,33232753,33428965,33466040,33776454,33783553,33845318,33953641,34039608,34249801,34355749,34566288,35080200,35120065,35264953,35514721,35521009,35569863,36456308,36826008,36864854,37211329,37230901,37377134,37418880,37428121,37435268,37504775,37649295,37991850,38084581,38294559,38464129,38624852,38856615,38887074,38982598,39249841,39401761,39409304,39465225,39708788,39882518,39913472,39987265,40114758,40159248,40524640,40568209,41227640,41293045,41429259,41447056,41606713,42096240,42144078,42193141,42249889,42259521,42345075,42892153,42959252,43261321,44335467,44452273,44597654,44673272,44769769,44902656,44955313,45005730,45016952,45036001,45036422,45125108,45168080,45179154,45590220,45646414,45840692,45880760,46257875,46381095,46454673,46532353,46569848,46627938,46778683,46882294,47358270,47377654,47528468,47696641,47984718,48006112,48124681,48583153,48629568,48673023,49374195,49381321,49429861,49450958,49473168,49551654,50257431,50307896,50515488,50644071,50814090,50971681,51055609,51263401,51615855,51852865,52080440,52172918,52391079,52665808,52698548,52724878,52974358,53095064,53146489,53300041,53499769,53578250,53579396,53787441,53862758,54006876,54201696,54708264,54942758,55051041,55056912,55178360,55509450,55527265,55628401,55652641,55657314,56077045,56288230,56596383,56726840,56766949,56829924,56863028,56904529,57276692,57358465,57543241,57885073,57944075,58194921,58489431,58590495,58700408,58713478,59133873,59181332,59210080,59249034,59405929,59549761,59718598,59731947,59830275,59837713,60596852,60675649,60976908,61008865,61238053,61340468,61370360,61546797,61641476,61789238,61823078,61904161,61939026,62075655,62223438,62231953,62249673,62386676,62496528,62807449,63326581,63351992,63501553,63817695,63818960,64260241,64293900,64464440,65313574,65347681,65831451,65960121,65973961,66037959,66197588,66214032,66458662,66474790,66530521,66588694,66611340,66632718,66635365,66826690,66891121,66902521,67292454,67493492,67539265,67545876,67683668,68042648,68072208,68580160,68803045,68830158,68857441,68890388,69041655,69443252,69532890,69630275,69788209,69931412,69944673,70043329,70308594,70554441,70721269,70859001,70964965,71037241,71052096,71270991,71709716,71796330,71826254,72140055,72378561,72396901,72522495,72953281,72962414,73210638,73233430,73435094,73644432,73659265,73722116,73874353,73884855,74080654,74163433,74168416,74351353,74454118,74490786,74532740,74848534,75100161,75283640,75587809,75605281,75880718,76078222,76145678,76547979,76581234,76582752,76908596,76949392,77046421,77152680,77237665,77241752,77357328,77729953,78370775,78402801,78499561,78810512,79000473,79044901,79495153,79715449,79769748,79933608,79962438,80192028,80276102,80432792,80591492,81047118,81139873,81187009,81933254,82030712,82204630,82296192,82485095,82563654,82568361,82777250,82849986,83439468,83440772,83455473,83465353,83537893,83556330,83650534,83930449,84046453,84398115,84544760,84694095,84929673,85157958,85259593,85407265,85458219,85766456,85811601,85981801,86155596,86568066,86796765,86847943,86896971,87026994,87119636,87277161,87629240,87880116,87944329,88270340,88285753,88354849,88391118,88405045,88491188,88661826,88692891,88737321,88902790,89126752,89319873,89321713,89439288,89636065,89925309,90024656,90063572,90297553,90340368,90364911,90401108,90406129,90486891,90672824,91040545,91320913,91780501,92157361,92266321,92284551,92424121,92583216,92685198,92980052,93085401,93130455,93353830,93661473,93667045,94044930,94092889,95112855,95383438,95466700,95575030,95670921,96385988,96487263,96806965,96873253,96955441,97908692,98024545,98414840,98582895,98645556,98891732,98982114,99332700,99339152,99843961,...,10484541368803600227187226569855566971269577248792592704995365841782738330694162589847177454462635215825558767396518921074553542901179477802582877303938213981445195072106084608177771651088789020507196411909645097699261040135690406886980081350167976288783772729794087896605487526890632579707700041625743465623921307121211436200050787112868657310833600801297802647218870275593119481704905978812358884391824658112477834548550229182489163473035325228321670717604966308655309037275327153291114229954143233100026372147192491010934086065811052442535283722203334291224048031490946549768359773472068953095368690752226454409437909583386393459322356277134303000950269351201241454582372256265692064646518903503512247869956031545699904313357696167826530180431670048728031456621166909558519867957860547072602785635784238775832594378030693827341974132693837157387017631364326266350480279796363942481838577286129452078862336156634528099369236742549179408925678298344974057022211863537427005920347041902931916472334638510592623897921684318783283998152072077531823082206634035577436716077764024428582742783550291176037419707204655393223700798662614155925191926997783713297173599734279712875542627915760207705045792071141077238829052589096014748625710357935518561867376937429409608712185387038102787630472144259110008186757479747378357629604351932033036588363302605955520670363034628755016288916724459498356528761265348157424886511510903594064504631694811457837110247856420677153287943709803887387780448588941609303173229063275266673180710028685197782279290311355579714718464818688749090356721610480501762210382175153553953449560626772635879950051272493978121793993097845300616582311142608360395522890471310524503930721055082289339755921091379387492454856729572533932992453214701944075040935507261964763900107641760445104914172013858598279673012627390193463128969467408320997266321605078357173018132872142404098734444108919828361633049018465734081789232616317356791298240313281229761432337474168313965064491124030671849607901546859071095198633484603792234641474766607478718774086443963268043650794942665618317642694141577050446332622341226853395905409552975418680167106068923395070674575066657698679679020735479322502556449459238994287762062141047981099530736498358647401281467486250117556055747605731845600460343235929466570043942352134856843252412954384302019332464298455514952282453418250178670442665019543949426449157285894378343581973848378575353712913633629318084481291459098816792608052108589028101978509952768557178753753567037422140609241007662837632732882958107861758695877900359997143425023103967503018675266698259850002622444992792680332431343816904873378885427876888431720316589690669037632716181434367988690409599824564838715597487653535338804524528462079534041747528980354161920718265911690183235819097420262066138576787277832227174790037074749837156281896375861720246705819180524100067478021707458262429692623909556907293600287668480362951409157147125526344485883753472089284065564983903303508150171313217686901184785856996111225679875224160200624896721535464052638791818928044611939160051402082920282220054}
19512  44504086774722047009645269882090066273938796126137669167240691397880590: {97535,117042,214511,448247,546028,565007,780040,798311,837167,877545,936048,1053054,1380311,1481164,1535207,1596458,1612607,1728647,1829522,2062442,2114927,2415148,2538911,2650504,2692847,2881708,2981817,3224882,3456938,3460607,3584872,3728567,4032981,4072511,4152242,4301447,4518664,4606247,4745068,5062487,5077298,5083497,5210188,5308202,5320497,5403911,5631167,5762824,6139564,6333925,6348911,6483177,6687887,6695272,7138847,7379858,7503265,7532181,7600710,7773717,8107424,8223911,8261207,8373047,8447567,8782511,9003918,9120852,9178984,9254425,9487487,9561527,9668018,9845548,9877881,10326357,10718950,11105310,11218967,11328887,11348872,11365511,11585087,11592385,11845664,11969745,12132767,12277864,12314927,12675621,12678647,12767481,12767728,12862740,12896872,13299122,13326372,13331327,13369454,13512167,13524842,13717185,13720256,13812597,13824904,13873247,13910862,13930345,14363694,14413367,14432457,14508981,14631664,14876138,15090025,15166511,15345311,15369964,15435288,15553017,15678985,15988072,16446098,16460622,16502101,16560550,16716414,17086967,17263607,17364699,17986581,18003311,18108030,18231698,18354311,18573388,18631833,18669527,18814782,18844367,19053911,19099220,19315232,19343018,19402511,19576511,19689064,19715567,19763065,19872660,20353465,20696145,20852908,21087093,21123865,21197504,21307948,21334322,21477311,21522085,21729636,21991511,22075888,22150197,22367447,22398550,22435562,22655378,22837137,22919064,22980527,23320007,23387807,23489447,23574430,23692511,23715678,23847192,24030311,24179145,24190058,24424158,24821342,24835374,24903921,25038911,25204585,25348638,25495393,25740647,25783947,25791088,25826502,26206511,26239727,26325321,26538311,26756872,26828091,26878260,27001487,27284600,27397247,27528911,27665449,27890327,28098988,28232950,28289316,28381607,28535978,28670144,28675511,28785777,28805927,29001311,29014974,29109145,29282785,29395545,29647525,29784657,29828522,30101481,30176950,30245502,30258218,30430984,30618311,30637321,30650447,30695175,30887781,31329938,31355248,31445665,31610807,32142508,32222757,32253912,32373911,32741520,32867745,33289847,33485164,33666887,33879540,33948911,33980207,34234857,34483141,34604447,34825228,34915367,34924288,34930974,35058928,35070527,35139342,35141545,35274654,35457925,35459060,35473007,35577030,35924872,35997287,36002738,36006550,36074185,36089567,36138176,36212340,36266174,36273911,36285651,36421990,36541875,36733511,36834210,36838504,37008407,37373927,37495511,37734798,37768607,37941964,37948832,38067945,38282687,38360425,38403311,38626496,38731178,38933457,38978000,39089113,39184247,39217945,39289824,39303911,39389833,39441294,39522070,39575944,39721727,40145665,40398122,40415481,40605808,40655448,40748617,40813418,40906847,41398024,41443317,41832550,41933327,42005348,42169854,42549510,42550872,42692436,42978911,43207860,43238687,43289022,43293098,43454808,43706388,43842311,43850250,44019409,44099927,44201052,44442407,44522937,44730002,44763829,45035272,45152207,45237047,45386144,45517461,45570385,45681534,45737379,45956018,46032510,46081487,46082582,46088384,46137527,46458181,46567082,46572777,46773600,46794085,47057567,47061534,47334001,47426484,47500511,47638511,47664597,47869731,47886407,47987858,48174798,48281065,48298127,48708047,48886659,49101344,49261630,49401578,49602962,49635985,49792367,49891840,50199060,50356511,50597207,50655800,50664681,50767977,51059412,51362857,51534550,51711887,51808682,51808820,51847774,51849432,52407218,52620300,52897273,52968527,53486344,53545664,53699065,53744567,53796047,53873207,54411311,54436847,54684462,54788402,55239012,55297281,55401287,55432993,55774442,55841590,55934437,56065701,56128320,56152902,56179511,56192104,56271190,56346028,56364338,56406385,56460100,56528447,56553311,56987775,57196967,57300865,57344618,57350950,57540242,57565847,57663911,57931058,57937278,58212310,58330611,58473897,58613327,58975247,59113956,59410585,59455007,59537317,59563182,59823777,59870208,60007640,60097607,60172137,60238872,60310511,60452087,60786960,61015511,61225607,61229738,61248911,61388567,61841460,61939564,62059511,62170584,62266367,62632511,62883047,62884870,63144360,63177887,63216117,63313511,63516407,63628847,63785927,63979624,64438878,64764311,64786367,64839424,64896527,64897364,65094311,65100550,65832260,65835647,65873185,65964224,66068872,66095087,66202847,66368830,66396311,66717311,66896481,66949418,66974245,67009908,67036511,67326122,67330718,67353911,67353984,67508595,67525428,67554633,67586533,67687662,67752120,67768731,67890098,68191511,68385330,68419607,68469621,68761038,68811311,68821140,68959198,68972950,69036767,69525311,69854772,69908807,69941907,69949007,70209527,70323441,70378693,70508447,70607687,70746287,70876082,70908550,71037405,71066481,71078785,71246738,71292702,71595865,71716588,71776873,71782967,71977077,72009168,72091511,72264167,72268928,72493367,72645527,72778247,72944352,73042511,73323911,73375510,73401388,73409216,73510511,73976665,74012600,74157311,74176437,74209752,74322047,74327481,74504327,74703911,74974511,75045649,75461844,75652681,75746065,75773232,76221135,76473911,76560311,76675585,76712950,76886807,76921007,77051845,77074511,77091527,77287573,77593228,77748911,77832311,77983345,77985908,78120660,78229847,78259377,78344927,78590207,78771574,78845164,78998712,79047822,79087317,79123487,79189990,79338721,79394807,79458311,79461537,79537511,79642596,79695311,79773700,79867967,80103694,80148407,80367375,80369094,80580550,80681618,80794137,81010314,81302544,81393167,81725137,81747311,81820511,81908087,81921962,82038911,82062396,82341647,82414137,82451378,82527287,82555727,82585368,82627562,82683311,82746985,82767540,82964584,82978487,82999564,83034311,83264175,83328704,83435207,83485971,83599127,83653511,84243287,84366865,84375167,84381482,84432345,84604585,84766007,84920327,85035311,85053310,85090260,85244886,85294542,85338767,85555574,85588127,85725200,85773047,85785311,85858727,85915038,85947698,86112985,86252881,86388311,86577047,86682311,86804065,86856311,86921758,87017087,87085511,87330098,87356327,87414265,87423311,87589511,87775268,87797447,87946828,88013207,88050612,88070217,88141127,88189418,88236311,88285376,88532138,88702511,88771998,88815120,88843624,88864367,88873551,89191727,89385887,89395511,89481767,89518462,89577897,89595767,89637145,89680511,89723272,90061168,90273311,90352727,90406802,90414047,90483647,90544127,90740087,90745778,90762944,90840647,90873911,90895278,90915311,90948287,91046447,91276801,91326167,91443047,91465362,91656407,91773544,91804967,91856207,91964687,92010702,92055540,92071367,92127527,92152645,92333567,92400647,92440511,92462214,92635511,92683857,92710520,92730311,92734617,92860007,92908539,92968367,92980247,93165925,93211127,93239087,93259564,93335157,93391967,93418607,93455567,93580014,93698447,93744792,93756287,93780047,93863927,93895847,93909407,94023911,94072588,94091687,94103858,94104550,94128911,94149311,94225007,94232807,94271327,94305311,94356887,94378511,94478668,94485647,94602602,94606487,94624511,94627487,94658278,94679687,94693727,94736128,94848911,94869287,94880327,94881913,94912247,94914311,94988567,95008967,95013887,95027988,95031311,95061887,95065967,95067311,95075207,95099447,95132447,95163407,95170511,95173607,95178311,95179367,95265578,95358757,95728440,95761298,96135745,96186740,96420242,96440850,96504748,96552190,96696660,97614184,97894442,97970361,98057522,98192576,98513140,99296382,99321048,99680402,99687993,99712185,99883041,99917010,99949077,...,15726812053205400340780839854783350456904365873188889057493048762674107496041243884770766181693952823738338151094778381611830314351769216703874315955907320972167792608159126912266657476633183530760794617864467646548891560203535610330470122025251964433175659094691131844908231290335948869561550062438615198435881960681817154300076180669302985966250401201946703970828305413389679222557358968218538326587736987168716751822825343773733745209552987842482506076407449462982963555912990729936671344931214849650039558220788736516401129098716578663802925583305001436836072047236419824652539660208103429643053036128339681614156864375079590188983534415701454501425404026801862181873558384398538096969778355255268371804934047318549856470036544251739795270647505073092047184931750364337779801936790820608904178453676358163748891567046040741012961199040755736080526447046489399525720419694545913722757865929194178118293504234951792149053855113823769113388517447517461085533317795306140508880520562854397874708501957765888935846882526478174925997228108116297734623309951053366155074116646036642874114175325436764056129560806983089835551197993921233887787890496675569945760399601419569313313941873640311557568688106711615858243578883644022122938565536903277842801065406144114413068278080557154181445708216388665012280136219621067536444406527898049554882544953908933281005544551943132524433375086689247534793141898022236137329767266355391096756947542217186755665371784631015729931915564705831081670672883412413954759843594912900009771065043027796673418935467033369572077697228033123635535082415720752643315573262730330930174340940158953819925076908740967182690989646767950924873466713912540593284335706965786755896081582623434009633881637069081238682285094358800899488679822052916112561403260892947145850161462640667657371258020787897419509518941085290194693454201112481495899482407617535759527199308213606148101666163379742542449573527698601122683848924476035186947360469921844642148506211252470947596736686046007774411852320288606642797950226905688351962212149911218078161129665944902065476192413998427476464041212365575669498933511840280093858114329463128020250659103385092606011862599986548019518531103218983753834674188858491431643093211571971649296104747537971101922201229375176334083621408597768400690514853894199855065913528202285264878619431576453028998696447683272428423680127375268005663997529315924139673735928841567515372960772567863030569370450443977126721937188648225188912078162883542152967764929152835768130630350556133210913861511494256449099324437161792638043816850539995715137534655951254528012900047389775003933667489189020498647015725357310068328141815332647580474884536003556449074272151551983035614399736847258073396231480303008206786792693119301062621293470531242881077398867535274853728646130393099207865180916748340762185055612124755734422844563792580370058728770786150101217032561187393644538935864335360940400431502720544427113735720688289516728825630208133926098347475854955262225256969826530351777178785494166838519812836240300937345082303196078958187728392066917908740077103124380423330081}
19513  44678854947595905145527047296935841711128467213437241915487357930608293: {156056,175563,682535,819042,975050,1170060,1248064,1404072,1579581,1851455,2221746,2319191,2394687,2744283,2786927,3018935,3093663,3136763,3313130,3602135,3622722,3953831,3975756,4071947,4305743,4322562,4481090,4716338,4837323,5042471,5185407,5377308,5648330,5823623,5858363,5931335,6228363,6291071,6512735,6639611,6777996,7093996,7117602,7203530,7286642,7340567,7615947,7674455,7815282,7846007,7962303,8031611,8369090,8508827,8644236,9209346,9361703,9855362,9930263,10042908,10134280,10364956,10743131,10876463,11069787,11171762,11257706,11284763,11401065,11463707,11473730,12005224,12096791,12161136,12306935,12422498,12802706,13044911,13170508,13277858,13398983,13505877,13678271,13681278,13768476,13989563,14186090,14502027,14679626,14768322,14807080,14911247,15226322,15347330,15601487,15842882,15959660,16078425,16121090,16657965,16878587,16900828,16926143,17015906,17023308,17150320,17227931,17281130,17366171,17768496,17932967,18289580,18406322,18416796,18436223,18547816,19151592,19212455,19233083,19243276,19294110,19316402,19345308,19577087,19945367,19948683,19985090,19989558,20054181,20287263,20514002,20580384,20737356,20741162,20866293,20866631,20950943,21448226,21545541,21947496,22129631,22288552,22314207,22522847,22567202,22675202,23054946,23152932,23216735,23412263,23874025,23982108,24103943,24144040,24242927,24467183,24476906,24611330,24669147,24690933,24709511,24730571,24840825,24842444,25074621,25086376,25234418,26066135,26077031,26201627,26496880,26627111,26634935,26936927,27162045,27258887,27347547,27435842,27477047,27594860,27745682,27860082,28116124,28222173,28479503,28644242,28648830,28972848,29014527,29533596,29808990,29930843,30348098,30449516,30558752,30676562,30917903,31076306,31199762,31279362,31434263,31620904,31796256,31921847,31961922,31984823,32001483,32233691,32238860,32565544,32594454,32601143,33113832,33205228,33446090,33597825,33653343,33753698,33787031,33798184,33983067,34105750,34253327,34359287,34378596,34435336,34628951,35032682,35100428,35123735,35361645,35455442,35524667,35530082,35573517,35770788,35837680,35862242,35920523,35924111,36223271,36285087,36636237,36677042,36725111,37232013,37253061,37719088,37727231,37948187,38022957,38038730,38088503,38381036,38686632,38739753,39194060,39253883,39405863,39413771,39712876,40135308,40178135,40304042,40317390,40327336,40926900,40993007,41183708,41406002,41611007,41856455,41971943,42031442,42148482,42349425,42387311,42433974,42803967,42963676,43005216,43522461,43531535,43568786,43655360,43823660,44251343,44254706,44323825,44742783,44906090,45172720,45265425,45368253,45387327,45457607,45646476,45927803,46048130,46230698,46499618,46574632,46800551,46852456,46887122,46994907,47032872,47427455,47436040,47517947,47944247,48196082,48202922,48213762,48283120,48380868,48548687,48588167,48722500,49112280,49168091,49469930,49931687,50227746,50313064,50757260,50819310,51747530,51911276,52237842,52386432,52396461,52397858,52407503,52506685,52588392,52709013,52730306,52909727,52911981,53188590,53365545,53571743,53887308,53945762,54004107,54009825,54128162,54207264,54318510,54399261,54512162,54535631,54632985,55251315,55257756,55900043,55982171,56226472,56294090,56602197,56627762,56732680,56734496,56874623,56912946,56923248,57327611,57610480,57718696,57810263,57891047,57939744,58096767,58275184,58359743,58467000,58934736,58959722,59161941,59283105,59363916,59724746,59828747,59855522,60338447,60597183,60681911,60689948,60908712,60983172,61220127,61376680,61877147,62097036,62364800,62748712,62748825,62809487,63008022,63235312,63254781,63319750,63415922,63552796,63824265,63826308,63837122,63841391,64038654,64233064,64761025,64811790,64933533,64939647,65182212,65320298,65461367,65559582,65620946,65771303,65775375,65871227,66301578,66465506,66857930,66932080,67095003,67250807,67552908,67567106,67690636,67907282,68079216,68499602,68522301,68711498,68934027,69048765,69123873,69132576,69192203,69551231,69811463,69850623,70160400,70207007,70240130,70432535,70529906,70575125,70592301,70776767,71029442,71042018,71139726,71981787,71983931,72153911,72262197,72594011,72912616,73063943,73159463,73652016,73729708,73830503,73892445,74102367,74171087,74404443,74422658,74461802,74754268,74837760,74856242,74870536,75006431,75008303,75009550,75298590,75983700,76169162,76589118,76636811,76928258,77249704,77301825,77424455,77713023,77713230,77738171,77771661,77774148,77965196,78499682,78507863,78610827,78803522,78818608,78930450,79053143,79417576,79765036,79826944,79974530,80229516,80301851,80318496,80383367,80804783,81049280,81121705,81136418,81148247,82026693,82182603,82290325,82455280,82586090,82858518,82894112,83098571,83213426,83473967,83661663,83762385,83939111,83953103,84192480,84229353,84288156,84386282,84406785,84499778,84519042,84546507,84659207,84690150,85412411,85784306,85918504,86016927,86026425,86294687,86310363,86522642,86896587,86905917,86992331,87318465,88364111,88670934,88904546,89195308,89299127,89331047,89344773,89346544,89539538,89645735,89805312,89910626,90011460,90033904,90072002,90072844,90250216,90336160,90358308,90502271,90825647,91180440,91292828,91681384,91751735,91761520,91844607,92433743,92515750,92762190,92909346,93064706,93139696,93255876,93289511,93358487,93557366,93764588,93934271,94209167,94327305,94554971,94716540,94753343,94755308,95056936,95393282,95969436,96012224,96097307,96249362,96324263,96658317,96991535,97166306,97259136,97346046,97482385,97618907,97650825,98556455,98748390,98762642,98820443,98859722,98901916,98946336,99103308,99350951,99553245,99717125,...,20969082737607200454374453139711133942539154497585185409990731683565476661388325179694354908925270431651117534793037842149107085802358955605165754607876427962890390144212169216355543302177578041014392823819290195398522080271380813773960162700335952577567545459588175793210975053781265159415400083251486931247842614242422872400101574225737314621667201602595605294437740551186238963409811957624717768783649316224955669097100458364978326946070650456643341435209932617310618074550654306582228459908286466200052744294384982021868172131622104885070567444406668582448096062981893099536719546944137906190737381504452908818875819166772786918644712554268606001900538702402482909164744512531384129293037807007024495739912063091399808626715392335653060360863340097456062913242333819117039735915721094145205571271568477551665188756061387654683948265387674314774035262728652532700960559592727884963677154572258904157724672313269056198738473485098358817851356596689948114044423727074854011840694083805863832944669277021185247795843368637566567996304144155063646164413268071154873432155528048857165485567100582352074839414409310786447401597325228311850383853995567426594347199468559425751085255831520415410091584142282154477658105178192029497251420715871037123734753874858819217424370774076205575260944288518220016373514959494756715259208703864066073176726605211911041340726069257510032577833448918996713057522530696314849773023021807188129009263389622915674220495712841354306575887419607774775560897177883218606346458126550533346361420057370395564558580622711159429436929637377498180713443220961003524420764350307107906899121253545271759900102544987956243587986195690601233164622285216720791045780942621049007861442110164578679511842182758774984909713459145067865984906429403888150081871014523929527800215283520890209828344027717196559346025254780386926257938934816641994532643210156714346036265744284808197468888217839656723266098036931468163578465232634713582596480626562459522864674948336627930128982248061343699215803093718142190397266969207584469282949533214957437548172887926536087301589885331236635285388283154100892665244682453706791810819105950837360334212137846790141349150133315397359358041470958645005112898918477988575524124282095962199061472996717294802562934972500235112111495211463691200920686471858933140087884704269713686504825908768604038664928596911029904564906836500357340885330039087898852898314571788756687163947696757150707425827267258636168962582918197633585216104217178056203957019905537114357507507134074844281218482015325675265465765916215723517391755800719994286850046207935006037350533396519700005244889985585360664862687633809746757770855753776863440633179381338075265432362868735977380819199649129677431194975307070677609049056924159068083495057960708323841436531823380366471638194840524132277153574555664454349580074149499674312563792751723440493411638361048200134956043414916524859385247819113814587200575336960725902818314294251052688971767506944178568131129967806607016300342626435373802369571713992222451359750448320401249793443070928105277583637856089223878320102804165840564440108}
19514  44854304556082680888932272900567184534623411265576060778568578160398109: {136549,195070,234084,253513,429022,603973,720649,837253,896494,1092056,1130014,1228563,1302949,1419193,1462575,1560080,1596622,1674334,1755090,1872096,1883449,2106108,2462149,2760622,2962328,3070414,3192916,3225214,3332619,3457294,3499273,3659044,4124884,4229854,4644793,4830296,4969695,5077822,5301008,5328649,5385694,5434083,5442373,5763416,5896549,5963634,6349573,6449764,6483843,6721635,6913876,6921214,7074507,7139593,7169744,7457134,8065962,8145022,8262073,8304484,8472495,8602894,8820613,8867495,9037328,9212494,9490136,10124974,10154596,10166994,10264393,10420376,10504571,10616404,10640994,10676403,10805295,10807822,10929963,11262334,11366713,11525648,11722923,12279128,12553635,12667850,12697822,12956195,12966354,13375774,13390544,13658149,13814019,14199049,14277694,14759716,14783043,15006530,15064362,15201420,15382693,15547434,15917833,16214848,16229339,16344649,16447822,16463135,16522414,16746094,16757643,16886559,16895134,17210595,17565022,18007836,18241704,18356293,18357968,18461449,18508850,18633747,18881353,18974974,19090873,19123054,19204059,19336036,19502483,19613413,19691096,19755762,19916787,19949575,20030149,20521917,20549449,20652714,21126035,21279135,21437900,21950579,21993913,22019439,22152483,22199113,22210620,22437934,22657774,22697744,22731022,22839483,22861975,23020995,23170174,23184770,23525893,23627449,23691328,23728933,23764323,23939490,24054095,24181635,24265534,24555728,24629854,25041673,25351242,25357294,25523859,25534962,25535456,25725480,25793744,25921695,26242633,26541253,26598244,26652744,26662654,26738908,27024334,27049684,27434370,27440512,27609483,27625194,27649808,27668291,27729253,27746494,27821724,27860690,28494851,28727388,28826734,28864914,28941165,28974603,29017962,29263328,29573411,29686213,29752276,29977635,29984337,30130919,30180050,30333022,30653893,30690622,30739928,30771003,30870576,31053055,31106034,31111743,31135033,31357970,31518649,31901113,31976144,32172339,32377573,32892196,32921244,33004202,33121100,33432828,33850803,33984073,34012803,34173934,34493575,34527214,34582419,34729398,35145155,35286419,35291449,35973162,36006622,36207743,36216060,36308773,36463396,36708622,36715359,36768313,36916995,37043173,37134649,37146776,37263666,37339054,37629564,37688734,37851627,38061895,38107822,38198440,38407753,38630464,38686036,38805022,39153022,39378128,39431134,39526130,39745320,39756133,40290949,40298575,40706930,40734649,40752803,40995899,41153763,41392290,41506535,41616649,41618523,41705816,41790123,42054949,42142393,42174186,42247730,42395008,42578533,42615896,42668644,42839353,42954622,42966363,42973245,43044170,43272613,43459272,43875535,43876153,43983022,44023931,44151776,44300394,44713485,44734894,44797100,44871124,44987653,45157573,45310756,45522147,45674274,45838128,45961054,46014843,46338949,46614459,46640014,46775614,46799643,46919043,46978894,47148860,47385022,47431356,47589049,47694384,47942883,47976295,48060622,48358290,48380116,48848316,48891681,48904633,48992575,49198163,49641095,49642684,49670748,49807842,50040649,50077822,50169135,50362633,50409170,50442949,50503859,50630547,50697276,50990786,51158625,51479635,51481294,51567894,51582176,51653004,51955273,52413022,52479454,52549023,52650642,52902707,53076622,53183163,53295123,53513744,53656182,53704595,53756520,53793363,53905573,54002974,54182227,54443593,54569200,54779575,54794494,54905123,55015563,55057822,55330898,55509049,55780654,55940183,56197976,56203931,56465900,56560393,56578632,56763214,57058095,57071956,57340288,57351022,57376549,57450313,57571554,57611854,57744649,58002622,58029948,58218290,58402693,58475449,58565570,58791090,58838149,59295050,59569314,59657044,60202962,60270949,60341833,60353900,60456063,60476085,60491004,60516436,60861968,60903125,60976549,61236622,61256773,61274642,61300894,61390350,61775562,61891951,62090533,62109003,62297353,62514959,62659876,62710496,62891330,63047163,63221614,63222723,63446575,63650961,63794233,63798539,64285016,64329913,64445514,64507824,64747822,64794853,64889095,65124793,65353179,65387449,65483040,65511719,65714149,65735490,66382059,66579694,66747493,66939193,66970328,67333774,67359135,67383973,67593491,67759080,67897822,67960414,68262949,68295667,68469714,68511493,68966282,69072195,69208894,69250213,69346047,69490379,69650456,69749427,69830734,69848576,69861948,70117856,70141054,70278684,70283090,70330683,70458373,70549308,70637113,70915850,70918120,70933573,70946014,71154060,71228233,71849744,71994574,72005476,72013100,72101413,72148370,72159049,72179134,72276352,72294123,72304383,72320643,72424680,72532348,72547822,72571302,72674533,72843980,73083750,73296649,73467022,73576549,73632313,73668420,73677008,74016814,74130949,74204895,74732473,74747854,74991022,75178691,75341619,75469596,75537214,75862435,75883928,75897664,76135890,76228965,76276549,76484773,76565374,76588453,76720850,76806622,77102533,77252992,77462356,77621295,77760073,77866914,77956000,78178226,78257593,78356763,78368494,78435890,78579648,78596787,78601573,78607822,78779666,78882588,78968939,79044140,79095459,79151888,79440995,79443454,79469893,79706953,79754149,79782885,80175673,80221211,80291330,80499493,80796244,80830962,80918643,81192243,81211616,81310896,81360649,81477765,81497234,81626836,81627193,81768243,81813694,82065673,82667449,82796048,82878949,82886634,83174819,83502649,83543653,83665100,83706949,83710363,83866654,84010696,84070153,84269413,84339708,84441135,84466873,84613295,84894949,84941643,85099020,85101744,85276549,85369419,85384872,85613833,85687993,85798693,85957822,86054473,86413753,86415720,86477374,86578044,86586196,86909616,87381433,87412776,87414949,87581449,87684622,87700500,87746149,87909049,88038818,88199854,88402104,88439583,88727113,88848649,88884814,89045874,89410213,89460004,89527658,89587119,89723449,89783283,90000649,90070544,90136549,90304414,90376633,90429193,90474094,90507493,90772288,90889273,90914149,91034922,91140770,91339859,91363068,91474758,91850149,91912036,91980613,92065020,92150533,92162135,92162974,92165164,92171449,92176768,92222459,92275054,92651833,92916362,92967013,93125449,93134164,93145554,93227833,93440773,93442835,93472453,93534949,93547200,93588170,93671353,93686149,93763943,93913093,93966949,94032649,94115134,94123068,94207033,94288933,94399813,94442149,94512033,94627513,94645513,94668002,94839049,94852968,94867273,94932793,94979625,95001022,95022649,95073733,95086153,95123883,95154949,95178313,95183173,95186053,95195449,95198473,95277022,95329194,95621719,95739462,95755683,95772814,95975716,96057981,96349596,96562130,96596254,97217685,97416094,97456495,97773318,97980447,98202688,98339373,98431419,98523260,98803156,99205924,99271970,99452367,99510299,99584734,99698259,99706295,99783680,...,31453624106410800681561679709566700913808731746377778114986097525348214992082487769541532363387905647476676302189556763223660628703538433407748631911814641944335585216318253824533314953266367061521589235728935293097783120407071220660940244050503928866351318189382263689816462580671897739123100124877230396871763921363634308600152361338605971932500802403893407941656610826779358445114717936437076653175473974337433503645650687547467490419105975684965012152814898925965927111825981459873342689862429699300079116441577473032802258197433157327605851166610002873672144094472839649305079320416206859286106072256679363228313728750159180377967068831402909002850808053603724363747116768797076193939556710510536743609868094637099712940073088503479590541295010146184094369863500728675559603873581641217808356907352716327497783134092081482025922398081511472161052894092978799051440839389091827445515731858388356236587008469903584298107710227647538226777034895034922171066635590612281017761041125708795749417003915531777871693765052956349851994456216232595469246619902106732310148233292073285748228350650873528112259121613966179671102395987842467775575780993351139891520799202839138626627883747280623115137376213423231716487157767288044245877131073806555685602130812288228826136556161114308362891416432777330024560272439242135072888813055796099109765089907817866562011089103886265048866750173378495069586283796044472274659534532710782193513895084434373511330743569262031459863831129411662163341345766824827909519687189825800019542130086055593346837870934066739144155394456066247271070164831441505286631146525460661860348681880317907639850153817481934365381979293535901849746933427825081186568671413931573511792163165246868019267763274138162477364570188717601798977359644105832225122806521785894291700322925281335314742516041575794839019037882170580389386908402224962991798964815235071519054398616427212296203332326759485084899147055397202245367697848952070373894720939843689284297012422504941895193473372092015548823704640577213285595900453811376703924424299822436156322259331889804130952384827996854952928082424731151338997867023680560187716228658926256040501318206770185212023725199973096039037062206437967507669348377716982863286186423143943298592209495075942203844402458750352668167242817195536801381029707788399710131827056404570529757238863152906057997392895366544856847360254750536011327995058631848279347471857683135030745921545135726061138740900887954253443874377296450377824156325767084305935529858305671536261260701112266421827723022988512898198648874323585276087633701079991430275069311902509056025800094779550007867334978378040997294031450714620136656283630665295160949769072007112898148544303103966071228799473694516146792462960606016413573585386238602125242586941062485762154797735070549707457292260786198415730361833496681524370111224249511468845689127585160740117457541572300202434065122374787289077871728670721880800863005441088854227471441376579033457651260416267852196694951709910524450513939653060703554357570988333677039625672480601874690164606392157916375456784133835817480154206248760846660162}
19515  45030438238239986956416494231672507192054170062690523595393139382645644: {292605,312112,351126,643533,955549,1344741,1365070,1638084,1695021,1950100,2340120,2394933,2496128,2511501,2592037,2632635,2808144,3159162,3293641,3702910,3991145,4140933,4226509,4443492,4573805,4605621,4638382,4789374,4812301,4837821,5042989,5156105,5185941,5488566,5573854,6037870,6187326,6273526,6344781,6626260,7031197,7204270,7245444,7616733,7846813,7907662,7951512,8062205,8078541,8143894,8303869,8611486,8642345,8645124,8777813,8945451,8962180,9117829,9432676,9598217,9674646,10059269,10084942,10299101,10370814,10380605,10381821,10744237,10754616,11185701,11296660,11647246,11716726,11862670,12098943,12217533,12456726,12582142,12693245,12904341,12981821,13025470,13270505,13279222,13555992,13561529,13818741,14187992,14235204,14407060,14573284,14681134,15177173,15187461,15231894,15250491,15348910,15416713,15630564,15692014,15924606,15961491,16063222,16211733,16363337,16738180,16893501,17017654,17229709,17288472,17731373,18418692,18438121,18449645,18723406,19001775,19046733,19449531,19710724,19860526,19947421,20063661,20085816,20268560,20729912,21416541,21486262,21556733,21752926,22139574,22305709,22343524,22509795,22515412,22569526,22596543,22802130,22927414,22947460,23321151,23448389,24010448,24103013,24170045,24193582,24322272,24613870,24671733,24733117,24783621,24844996,25119141,25342701,25605412,25914853,26089822,26341016,26347533,26370581,26555716,26614729,26797375,26797966,26897437,26939701,27011754,27356542,27362556,27536952,27763275,27916493,27979126,28372180,28462461,28684581,29004054,29144917,29359252,29536644,29614160,29633643,29822494,29868521,30452644,30694660,30979071,31202974,31685764,31714493,31919320,32156850,32242180,32503429,32666873,33239597,33247805,33315930,33423635,33656901,33757174,33801656,33812105,33852286,33986661,34031812,34046616,34096533,34300640,34455862,34562260,34732342,34755261,34777155,35272229,35536992,35865934,35909235,35924221,36398301,36492589,36579160,36728893,36812644,36833592,36872446,36944781,37095632,37190345,37288909,37435829,38026863,38035941,38302443,38303184,38424910,38466166,38486552,38588220,38632804,38690616,39154174,39717941,39890734,39897366,39970180,39979116,39993981,40108362,40150477,40329109,40536501,40574526,41028004,41115245,41151555,41160768,41401375,41437791,41474712,41482324,41619741,41732586,41733262,41791035,41901886,42201833,42896452,42900989,43091082,43240101,43297371,43526943,43824169,43894992,44259262,44577104,44628414,45045293,45045694,45134404,45270075,45350404,45499533,45579245,46035933,46109892,46305864,46433470,46659051,46703021,46824526,47036955,47748050,47964216,48207886,48288080,48357545,48446281,48485854,48934366,48953812,49173229,49222660,49338294,49381866,49419022,49461142,49506303,49681650,49684888,50149242,50172752,50366021,50468836,51260901,51790821,52094097,52132270,52154062,52403254,52993760,53254222,53269870,53335805,53873854,53959743,54009933,54324090,54517774,54695094,54871684,54954094,55062933,55189720,55491364,55720164,55895499,55996375,56008581,56088905,56232248,56249389,56444346,56482133,56533101,56638445,56959006,57161733,57288484,57297660,57375721,57945696,58029054,58207533,58296709,58599037,58729533,58787717,58936075,59067192,59146701,59289195,59617980,59861686,59874301,60133037,60475145,60673181,60696196,60899032,60944149,61060395,61117504,61353124,61835806,61883533,61917053,62053355,62088435,62152612,62399524,62558724,62868526,63241808,63261279,63371595,63485321,63592512,63843694,63923844,63969646,64002966,64431933,64467382,64477720,64566255,64639049,65131088,65188908,65202286,65974533,65987573,66227664,66398437,66410456,66450591,66892180,67102341,67195650,67306686,67507396,67574062,67596368,67750813,67966134,68211500,68506654,68511411,68718574,68757192,68870672,68941581,69257902,69558409,69960021,70065364,70163421,70200856,70247470,70468341,70582375,70706701,70723290,70910884,71049334,71060164,71077533,71147034,71339945,71541576,71675360,71724484,71841046,71848222,72090933,72446542,72537435,72570174,72968333,73122269,73272474,73354084,73450222,73509359,74464026,74506122,74571305,74711763,75116733,75438176,75442375,75454462,75613755,75645545,75896374,76045914,76077460,76177006,76486179,76762072,76870301,77221941,77351841,77373264,77479506,78249317,78324845,78388120,78507766,78619533,78719181,78811726,78827542,78975963,79234669,79425752,79614933,80223593,80270616,80356270,80484273,80556773,80608084,80634780,80654672,81004461,81062357,81659701,81853800,81986014,82191741,82367416,82586733,82812004,82996347,83222014,83670981,83712910,83830717,83943886,84062884,84296964,84698850,84774622,84789293,84867948,85144821,85248221,85607934,85927352,86010432,86026533,86303593,86357331,86417781,87001309,87003933,87044922,87063070,87137572,87310720,87327435,87647320,87848355,88186635,88502686,88509412,88647650,88942575,89353971,89485566,89812180,90006845,90016375,90304443,90345440,90425093,90497773,90530850,90665435,90736506,90774654,90915214,91054975,91292952,91382441,91854933,91855606,91911963,91951341,92085525,92096260,92461396,92663343,92999236,93149264,93561917,93601102,93704912,93774244,93989814,94065744,94336995,94832421,94854910,94869581,94872080,95035894,95888494,96392164,96405844,96427524,96566240,96668271,96761736,96827945,97097374,97121733,97176334,97445000,97659293,97793069,98224560,98336182,98603235,98605549,98805175,98939860,99863374,99869541,...,47180436159616201022342519564350051370713097619566667172479146288022322488123731654312298545081858471215014453284335144835490943055307650111622947867721962916503377824477380736799972429899550592282383853593402939646674680610606830991410366075755893299526977284073395534724693871007846608684650187315845595307645882045451462900228542007908957898751203605840111912484916240169037667672076904655614979763210961506150255468476031321201235628658963527447518229222348388948890667738972189810014034793644548950118674662366209549203387296149735991408776749915004310508216141709259473957618980624310288929159108385019044842470593125238770566950603247104363504276212080405586545620675153195614290909335065765805115414802141955649569410109632755219385811942515219276141554795251093013339405810372461826712535361029074491246674701138122223038883597122267208241579341139468198577161259083637741168273597787582534354880512704855376447161565341471307340165552342552383256599953385918421526641561688563193624125505873297666807540647579434524777991684324348893203869929853160098465222349938109928622342525976310292168388682420949269506653593981763701663363671490026709837281198804258707939941825620920934672706064320134847574730736650932066368815696610709833528403196218432343239204834241671462544337124649165995036840408658863202609333219583694148664647634861726799843016633655829397573300125260067742604379425694066708411989301799066173290270842626651560266996115353893047189795746694117493245012018650237241864279530784738700029313195129083390020256806401100108716233091684099370906605247247162257929946719788190992790523022820476861459775230726222901548072968940303852774620400141737621779853007120897360267688244747870302028901644911207243716046855283076402698466039466158748337684209782678841437550484387922002972113774062363692258528556823255870584080362603337444487698447222852607278581597924640818444304998490139227627348720583095803368051546773428105560842081409765533926445518633757412842790210058138023323235556960865819928393850680717065055886636449733654234483388997834706196428577241995282429392123637096727008496800535520840281574342988389384060751977310155277818035587799959644058555593309656951261504022566575474294929279634715914947888314242613913305766603688125529002250864225793305202071544561682599565197740584606855794635858294729359086996089343049817285271040382125804016991992587947772419021207786524702546118882317703589091708111351331931380165811565944675566736234488650626458903294787458507304391891051668399632741584534482769347297973311485377914131450551619987145412603967853763584038700142169325011801002467567061495941047176071930204984425445997942741424653608010669347222816454655949106843199210541774220188694440909024620360378079357903187863880411593728643232196602605824561185938391179297623595542750245022286555166836374267203268533691377741110176186312358450303651097683562180933616807593006082821201294508161633281341207162064868550186476890624401778295042427564865786675770909479591055331536356482500515559438508720902812035246909588236874563185176200753726220231309373141269990243}
19516  45207258642265431585283453262916412084593652379472031829080226412627252: {273098,390140,468168,507026,526689,858044,915043,1031539,1147963,1207946,1441298,1612939,1674506,1729003,1792988,2047605,2184112,2192539,2260028,2437625,2457126,2605898,2654923,2838386,2925150,3120160,3193244,3348668,3510180,3744192,3766898,3805843,4212216,4378603,4738743,4924298,4949563,5521244,5554365,5924656,6140828,6385832,6450428,6665238,6764539,6877363,6914588,6957573,6998546,7184061,7318088,8232849,8249768,8282825,8360781,8449339,8459708,9056805,9118723,9280989,9289586,9410289,9563539,9660592,9939390,10155644,10560163,10602016,10657298,10771388,10780843,10806405,10868166,10884746,11202725,11331283,11526832,11660683,11790845,11793098,11861493,11927268,12208243,12215841,12414493,12699146,12754003,12899528,12917229,12967686,13443270,13515043,13827752,13842428,13948339,14120825,14149014,14279186,14339488,14488339,14511969,14914268,14919043,15127413,15556221,16131924,16290044,16524146,16608968,16944990,17205788,17267323,17470869,17575089,17641226,17734990,17794005,18008825,18074656,18112603,18138673,18216605,18424988,18685089,18743539,18873213,18980272,19538205,19918833,20249948,20309192,20309539,20333988,20528786,20840752,20922725,21009142,21232808,21281988,21344539,21352806,21610590,21615644,21756523,21859926,22021701,22474723,22524668,22733426,22847841,22985563,23023365,23048389,23051296,23392939,23445846,23538021,23886909,24094833,24558256,24638405,24809683,24910339,25107270,25335700,25395644,25526481,25813003,25912390,25931873,25932708,26012803,26751548,26781088,27316298,27628038,27929405,27994963,28085109,28144265,28398098,28555388,28684325,28779763,28877539,29519432,29566086,29576449,29790789,30013060,30128724,30402840,30432163,30765386,30817939,31056245,31094868,31681723,31835666,32006765,32229393,32429696,32458678,32629389,32634643,32689298,32895644,32926270,33044828,33194645,33209361,33297403,33492188,33515286,33580363,33675733,33773118,33790268,33854289,34203195,34391121,34421190,34985443,35130044,35450203,35465225,35635603,36015672,36290373,36483408,36558283,36699065,36712586,36715936,36920805,36922898,37016923,37017700,37267494,37762706,37949948,38065805,38181746,38246108,38368325,38408118,38672072,39004966,39134733,39226826,39382192,39511524,39607205,39730963,39833574,39899150,40060298,40064189,40087939,40196949,40302725,40443763,40517631,40975339,41034813,41043834,41063683,41098898,41305428,41328283,41416339,41968689,42252070,42539765,42558270,42790969,42875800,43202825,43474277,43506081,43680523,43901158,43987826,44038878,44304966,44398226,44421240,44452939,44733741,44875868,45219523,45304339,45315548,45395488,45462044,45678966,45723950,45811723,46015805,46041990,46148539,46340348,46369540,46804461,47051786,47254898,47382656,47401339,47457866,47528646,47878980,48108190,48145243,48235275,48291005,48309763,48363270,48531068,49046539,49111456,49128043,49203217,49259708,49858339,49962725,49973895,50083346,50635761,50662939,50702484,50714588,50743003,50778429,51047718,51069924,51070912,51285005,51450960,51587488,51683793,51777283,51843390,51852905,52098513,52485266,53082506,53196488,53286653,53305488,53325308,53477816,53499883,53620565,53798901,53809339,53886523,54048668,54099368,54187793,54654403,54868740,54881024,54959539,55218966,55250388,55299616,55308669,55336582,55415083,55458506,55492988,55643448,55721380,56418005,56688005,56766163,56989702,57211339,57454776,57637365,57653468,57699249,57729828,57882330,57949206,58035924,58109149,58526656,58731261,58749043,59146822,59326483,59372426,59470123,59504552,59836101,59846049,59955270,59968674,60112939,60162543,60261838,60360100,60666044,60861789,61192265,61307786,61381244,61425749,61450843,61479856,61528325,61542006,61741152,61898309,61937203,62106110,62212068,62223486,62270066,62282443,62521381,62598879,62599893,62625883,62715940,62852829,62899339,63037298,63086045,63577939,63645403,63802226,63847363,63952288,64033541,64344678,64515883,64636623,64648723,64755146,64913539,65242939,65308603,65784392,65842488,66008404,66242200,66388893,66606763,66865656,66942621,67166813,67181539,67568541,67701606,67968146,68025606,68064043,68347868,68589605,68987150,68993923,69054428,69116683,69164838,69173357,69361339,69364205,69458796,69497533,69650205,69665539,69967939,70236789,70290310,70567339,70572838,70582898,70626883,70805083,71394403,71511403,71610605,71622075,71946324,72013244,72071489,72264883,72311829,72322339,72415486,72432120,72617546,72728781,72926792,73005713,73145033,73401549,73417244,73430718,73536626,73833990,73957243,74007441,74072799,74086346,74128533,74191713,74269298,74293552,74342803,74522475,74527332,74678108,75103339,75186433,75223863,75259128,75377468,75424963,75703254,75870245,76123790,76215644,76396880,76691405,76815506,76942939,77147563,77249443,77260928,77372072,77610044,77690765,77999405,78198405,78231093,78252403,78306044,78400363,78604881,78756256,78862268,78888883,79052260,79490640,79512266,79608163,79881333,79904805,80078683,80311243,80357539,80581898,80597150,80633803,80713061,80810781,81313123,81413860,81447043,81469298,81486135,81491539,81505606,81776661,81991798,82042641,82307526,82431141,82580539,82784580,82961563,83013070,83170723,83233298,83237046,83253883,83411632,83460523,83580246,83615225,83624539,83868403,84109898,84284786,84348372,84384245,84427339,84495460,84666519,84790016,85010539,85157066,85231792,85239283,85264375,85337288,85438509,85678706,85909244,85932726,85946490,86088340,86486539,86545226,86627803,86802763,86837539,86872243,86918544,87043581,87108989,87316843,87484603,87581705,87683539,87716443,87751070,87752306,87847339,87966044,88041523,88047862,88169539,88303552,88600788,88608523,88638605,88639339,88825205,88913443,88943539,89426970,89469788,89594200,89655605,89742248,89792529,89975306,90250123,90315146,90330043,90461803,90487939,90514003,90591763,90621512,90770683,90844733,90995539,91044294,91093603,91348548,91451083,91676256,91692605,91702939,91836643,91902523,91922108,92029686,92365843,92446339,92525683,92545339,92623243,92677898,92753709,92905123,92923339,93013339,93228918,93280028,93436339,93452323,93499843,93551228,93558641,93599286,93668539,93727723,93742339,93838086,93939403,93957788,94019539,94032643,94267939,94297720,94302789,94314163,94392283,94687123,94729963,94770044,94862712,94876339,94910539,94936603,94967563,95002339,95029339,95073403,95096825,95099539,95115523,95140723,95178098,95189323,95201923,95212003,95218483,95388768,95765541,95885766,95952590,95954469,96004449,96121244,96701073,96716580,96760232,97696632,97783362,97803429,97809266,97985150,98396326,98930429,99282190,99285368,99341496,99615684,...,62907248212821601363123359419133401827617463492755556229972195050696429984164975539083064726775811294953352604379113526447321257407076866815497263823629283888671170432636507649066629906532734123043178471457870586195566240814142441321880488101007857732702636378764527379632925161343795478246200249754460793743527842727268617200304722677211943865001604807786815883313221653558716890229435872874153306350947948674867007291301375094934980838211951369930024305629797851931854223651962919746685379724859398600158232883154946065604516394866314655211702333220005747344288188945679298610158640832413718572212144513358726456627457500318360755934137662805818005701616107207448727494233537594152387879113421021073487219736189274199425880146177006959181082590020292368188739727001457351119207747163282435616713814705432654995566268184162964051844796163022944322105788185957598102881678778183654891031463716776712473174016939807168596215420455295076453554069790069844342133271181224562035522082251417591498834007831063555743387530105912699703988912432465190938493239804213464620296466584146571496456701301747056224518243227932359342204791975684935551151561986702279783041598405678277253255767494561246230274752426846463432974315534576088491754262147613111371204261624576457652273112322228616725782832865554660049120544878484270145777626111592198219530179815635733124022178207772530097733500346756990139172567592088944549319069065421564387027790168868747022661487138524062919727662258823324326682691533649655819039374379651600039084260172111186693675741868133478288310788912132494542140329662883010573262293050921323720697363760635815279700307634963868730763958587071803699493866855650162373137342827863147023584326330493736038535526548276324954729140377435203597954719288211664450245613043571788583400645850562670629485032083151589678038075764341160778773816804449925983597929630470143038108797232854424592406664653518970169798294110794404490735395697904140747789441879687378568594024845009883790386946744184031097647409281154426571191800907622753407848848599644872312644518663779608261904769655993709905856164849462302677995734047361120375432457317852512081002636413540370424047450399946192078074124412875935015338696755433965726572372846287886597184418990151884407688804917500705336334485634391073602762059415576799420263654112809141059514477726305812115994785790733089713694720509501072022655990117263696558694943715366270061491843090271452122277481801775908506887748754592900755648312651534168611871059716611343072522521402224532843655446045977025796397297748647170552175267402159982860550138623805018112051600189559100015734669956756081994588062901429240273312567261330590321899538144014225796297088606207932142457598947389032293584925921212032827147170772477204250485173882124971524309595470141099414914584521572396831460723666993363048740222448499022937691378255170321480234915083144600404868130244749574578155743457341443761601726010882177708454942882753158066915302520832535704393389903419821048901027879306121407108715141976667354079251344961203749380329212784315832750913568267671634960308412497521693320324}
19517  45384768426535315996218444285888268775137551530464901724989400392832661: {409647,487675,585210,624224,702252,760539,1072555,1287066,1811919,1911098,2161947,2241235,2511759,2689482,2730140,2825035,3276168,3390042,3644443,3685689,3900200,3908847,3991555,4185835,4257579,4387725,4680240,4789866,4929199,4992256,5023002,5184074,5265270,5587603,5616288,5630587,5650347,6213163,6318324,6403327,6587282,6901555,7218547,7386447,7405820,7615507,7676035,7923883,7982290,8063035,8281866,8453018,8643235,8886984,9147610,9205999,9211242,9276764,9578748,9599203,9624602,9675642,9997857,10085978,10260163,10300159,10312210,10371882,10373779,10497819,10574635,10727419,10977132,11147708,11287087,11888227,12075740,12099283,12242227,12374652,12547052,12621103,12689562,12694555,13252520,13464235,13877119,13934379,14062394,14223067,14408540,14490888,14532847,14909085,15157003,15233466,15604699,15693626,15815324,15903024,15985947,16124410,16157082,16287788,16302249,16327119,16557907,16607738,16882063,17222972,17284690,17290248,17303035,17491843,17521747,17555626,17689647,17733199,17770543,17890902,17924360,17936659,18235658,18578707,18642835,18865352,19009243,19048719,19196434,19349292,19451529,19499323,20118538,20164905,20169884,20362555,20598202,20741628,20761210,20763642,20955259,21022207,21223521,21418779,21488474,21507235,21509232,21983599,22134187,22371402,22593320,23031235,23122483,23294492,23433452,23450803,23698579,23725340,24108907,24197886,24435066,24786219,24913452,25164284,25312435,25386490,25417485,25476139,25808682,25829503,25963642,26050940,26082403,26207023,26461839,26498083,26541010,26558444,26602485,27019555,27072463,27111984,27123058,27264499,27397387,27637482,28155835,28375984,28470408,28485379,28814120,29146568,29362268,29937007,30354346,30374922,30463788,30500982,30697820,30793179,30833426,31261128,31384028,31513713,31669625,31717759,31744555,31849212,31922982,31928419,31995547,32029209,32126444,32415885,32423466,32607859,32726674,32789889,32992219,33243019,33439435,33476360,33787002,33793987,33838063,34035308,34100139,34260379,34366363,34459418,34576944,35168769,35462746,35531983,35694235,35931523,36790699,36837384,36876242,36899290,37242427,37439683,37446812,37516325,37660905,37735003,38003550,38093466,38096347,38868585,38899062,39261967,39421448,39421903,39721052,39894842,39979603,40127322,40171632,40537120,40974447,41119555,41306035,41442057,41459824,41826307,41842603,41865235,42206179,42237835,42396043,42597147,42833082,42905407,42972524,43113466,43505852,43912555,44260459,44279148,44349129,44611418,44687048,45019590,45030824,45139052,45193086,45604260,45854828,45894920,45937279,46148079,46272125,46546927,46642302,46793089,46896778,46969723,47336947,47437435,47711407,47753499,47807635,48020896,48206026,48340090,48367747,48387164,48644544,48688017,49033947,49227740,49343466,49389405,49396699,49466234,49567242,49689992,49923919,50238282,50272929,50371219,50652943,50659677,50685402,51210824,51631785,51829706,52066483,52179644,52682032,52695066,52741162,53111432,53229458,53594750,53595932,53794874,53879402,54023508,54416923,54546883,54713084,54725112,54886387,55068879,55073904,55384347,55526550,55832986,55901241,55958252,56094835,56644059,56644435,56744360,56784523,56827555,56922283,56924922,57272619,57369162,57561343,57612177,57925435,57961925,58008108,58073179,58289834,58507449,58718504,58840239,59073288,59228320,59237359,59267286,59444563,59644988,59737042,59750361,59848725,60090447,60139243,60663835,60905288,61100047,61257019,61389320,61565751,61574635,61648347,61923499,61958142,62405948,62696323,62729899,63371528,63378105,63393235,63428986,63810943,63837405,63838640,63854563,64280143,64313700,64484360,65006858,65295283,65333746,65703919,65851737,65981739,66058317,66457449,66479194,66495610,66597339,66631860,66656635,66847270,67313802,67514348,67560835,67603312,67624210,67700563,67704572,67863619,67973322,68063624,68093232,68193066,68518449,68585925,68601280,68911724,69062985,69124520,69189643,69206479,69366235,69464684,69510522,69554310,69651725,70544458,70577679,70743163,70882347,71073984,71186799,71292969,71731868,71818470,71848442,71998783,72066835,72162285,72243643,72419323,72544905,72796602,72985178,73158320,73174699,73457786,73543723,73625288,73667184,73744892,73889562,74191264,74374507,74380690,74577818,74670127,74871658,75023779,75125019,75450125,75628687,75832555,76053726,76071882,76316587,76571577,76604886,76606368,76652623,76697707,76726555,76849820,76932332,76973104,77070283,77176440,77264143,77265608,77381232,77765085,78308348,78394925,78524467,78727899,78904123,79293823,79435882,79623759,79781468,79794732,79940360,79958232,79987962,80216724,80300954,80658218,81070723,81073002,81149052,81212143,81812179,82056008,82135483,82230490,82303110,82321536,82510505,82802750,82828449,82875582,82949424,82964648,83004873,83187759,83239482,83465172,83466524,83582070,83803772,84136939,84403666,84665203,85257019,85434835,85484553,85677139,85792904,85801978,86008627,86182164,86318035,86417227,86480202,86594742,86823495,86874697,86923809,87053886,87455119,87648338,87789984,87943363,87971983,88321507,88518524,88720233,89058639,89154208,89256828,89932905,89953011,90016555,90090586,90091388,90268808,90325519,90392757,90540150,90700808,90844699,90999066,91158490,91771555,91809163,91961679,92071866,92185903,92219784,92313009,92611728,92866940,93159165,93318102,93335229,93347635,93405099,93406042,93649052,94073910,94221835,94555947,95203459,95269555,95496100,95670067,95703339,95928432,96415772,96517017,96576160,96715090,96892562,96971708,97012555,97132719,97868732,97882555,97907624,98085499,98346458,98445320,98577835,98676588,98763732,98815325,98838044,98922284,99012606,99363300,99369776,99875923,...,94360872319232402044685039128700102741426195239133334344958292576044644976247463308624597090163716942430028906568670289670981886110615300223245895735443925833006755648954761473599944859799101184564767707186805879293349361221213661982820732151511786599053954568146791069449387742015693217369300374631691190615291764090902925800457084015817915797502407211680223824969832480338075335344153809311229959526421923012300510936952062642402471257317927054895036458444696777897781335477944379620028069587289097900237349324732419098406774592299471982817553499830008621016432283418518947915237961248620577858318216770038089684941186250477541133901206494208727008552424160811173091241350306391228581818670131531610230829604283911299138820219265510438771623885030438552283109590502186026678811620744923653425070722058148982493349402276244446077767194244534416483158682278936397154322518167275482336547195575165068709761025409710752894323130682942614680331104685104766513199906771836843053283123377126387248251011746595333615081295158869049555983368648697786407739859706320196930444699876219857244685051952620584336777364841898539013307187963527403326727342980053419674562397608517415879883651241841869345412128640269695149461473301864132737631393221419667056806392436864686478409668483342925088674249298331990073680817317726405218666439167388297329295269723453599686033267311658795146600250520135485208758851388133416823978603598132346580541685253303120533992230707786094379591493388234986490024037300474483728559061569477400058626390258166780040513612802200217432466183368198741813210494494324515859893439576381985581046045640953722919550461452445803096145937880607705549240800283475243559706014241794720535376489495740604057803289822414487432093710566152805396932078932317496675368419565357682875100968775844005944227548124727384517057113646511741168160725206674888975396894445705214557163195849281636888609996980278455254697441166191606736103093546856211121684162819531067852891037267514825685580420116276046646471113921731639856787701361434130111773272899467308468966777995669412392857154483990564858784247274193454016993601071041680563148685976778768121503954620310555636071175599919288117111186619313902523008045133150948589858559269431829895776628485227826611533207376251058004501728451586610404143089123365199130395481169213711589271716589458718173992178686099634570542080764251608033983985175895544838042415573049405092237764635407178183416222702663862760331623131889351133472468977301252917806589574917014608783782103336799265483169068965538694595946622970755828262901103239974290825207935707527168077400284338650023602004935134122991882094352143860409968850891995885482849307216021338694445632909311898213686398421083548440377388881818049240720756158715806375727760823187457286464393205211649122371876782358595247191085500490044573110333672748534406537067382755482220352372624716900607302195367124361867233615186012165642402589016323266562682414324129737100372953781248803556590084855129731573351541818959182110663072712965001031118877017441805624070493819176473749126370352401507452440462618746282539980486}
19518  45562970259643478483542706030870985673442363723740438451943955584859934: {214577,331517,546196,565181,780280,798557,877815,915137,936336,1014052,1053378,1186877,1380737,1716088,1729181,1830086,1883837,1930599,1961117,2063078,2295926,2415892,2462657,2539697,2655197,2693681,2866647,2882596,3225878,3349012,3412675,3458006,3585976,3844481,4034223,4095210,4368224,4385078,4417181,4520056,4836017,4875250,4914252,5085063,5177981,5211796,5309846,5405597,5676772,5850300,5897777,5973377,6240320,6386488,6463997,6697336,7020360,7184799,7253681,7488384,7533796,7534503,7591037,7611686,7776111,7897905,8226497,8375681,8424432,8561981,8757206,8896817,9257275,9268097,9477486,9675581,9848596,9880923,9899126,10818737,11042488,11108730,11332481,11369117,11478977,11595955,11698481,11849312,11973435,12281656,12422799,12428081,12679527,12771664,12900856,13330476,13529078,13721415,13754726,13816863,13829176,13915146,13934635,13997092,14274077,14368122,14417981,14436903,14513463,14636176,14741297,15094675,15128967,15457457,15468315,15557823,15671681,15683815,15992477,16419197,16465698,16499536,16507183,16565650,16721562,16898678,16919416,18010675,18113610,18114557,18237446,18465437,18561978,18579172,18820578,19034343,19127078,19321184,19582877,19769155,19878780,20103857,20311288,20359735,20553917,21093591,21120326,21140417,21204032,21314596,21528715,21542776,21561686,21612810,21736332,21769492,22272317,22405450,22477181,22511297,22662566,22817981,22850199,23053664,23321366,23497181,23540439,23581690,23586196,23700317,23722986,23801777,23854536,24004481,24139457,24186615,24235623,24416486,24431682,24828986,24911607,25212355,25348481,25398292,25503247,25508006,25799056,25834458,25849181,25927035,25935372,26333439,26348081,26547137,26836353,26886540,27030086,27353487,27538097,27655504,27684856,27896678,27998081,28241650,28298028,28325681,28558372,28619837,28678976,28782977,28794651,28815581,28976678,29023938,29108657,29118115,29271197,29291815,29656675,29757617,29828536,29838086,30177807,30254826,30646759,30897303,31112442,31141815,31145463,31455355,31717181,32067377,32232711,32263848,32563675,32580088,32859677,33048292,33198055,33217936,33557103,33889980,34241981,34411576,34493767,34534646,34709681,34941738,35020481,35150178,35282452,35454257,35469980,35485181,35588010,36017650,36101981,36149312,36225206,36277346,36296829,36378497,36433210,36562481,36652599,36702835,36849976,37021181,37051697,37204157,37370178,37487078,37746426,37960544,38079735,38372275,38713023,38945463,39076410,39101167,39230035,39401971,39407297,39735581,39765377,39811515,39837666,40158055,40359617,40499896,40618384,40619078,40667976,40684587,40803197,41057572,41244977,41456223,41681504,41684957,41845450,42018284,42210557,42465616,42544135,42563976,42689078,42705612,42994097,43109681,43221180,43231288,43478743,43513046,43719852,43857857,44043402,44229917,44657537,44777623,44809471,44949446,45049336,45224897,45253181,45466852,45507377,45531519,45562383,45695682,45751473,45845297,45971126,46046730,46096778,46102592,46250139,46472503,46489757,46657181,46785878,46808515,46891692,47074481,47076042,47348587,47600477,47655677,47773818,47884473,48013697,48189666,48635199,48970877,49090011,49116512,49161137,49276810,49540481,49619366,49651315,49820678,50052797,50106557,50214540,50455217,50671400,50680503,50791288,51052962,51378691,51387197,51626006,51689127,51809981,51824780,51863746,51865416,52025606,52440317,52884017,53194119,53292127,53503096,53532317,53562176,53715655,53893181,53918897,54382315,54632596,54686657,54890177,55256076,55314363,55348935,55421981,55450087,55522877,55573277,55858810,55989926,56170218,56200577,56275517,56288530,56400257,56423815,56649137,56796196,56798081,57005325,57070397,57110776,57140199,57318535,57368650,57513917,57559526,57685697,57755078,57759197,58028081,58348593,58538717,58635581,58853057,59038864,59132172,59152898,59357981,59477681,59555671,59581578,59842263,60026120,60190983,60257448,60286337,60333617,60483955,60640157,60781181,60805680,60864326,61038977,61109117,61530772,61534675,61635878,61690817,62112490,62152577,62189736,62313437,62656817,62725277,62975681,63111857,63363446,63518657,63671332,63855677,63878081,64013530,64040119,64249623,64422127,64457777,64458786,64546481,64657181,64670199,64679297,64789757,64859392,64917356,64988081,65224555,65258778,65269286,65378596,65791288,65852540,66056477,66089656,66389290,66418722,66487037,66594806,66917127,66956957,66984376,66994915,67030572,67126877,67160726,67351466,67529385,67546236,67580536,67607407,67708578,67789629,68093981,68218877,68281217,68391355,68406390,68782242,68839037,68842380,69023681,69125981,69146417,69180463,69553457,69856637,69947815,69963453,69970886,70158017,70238081,70260088,70345167,70517297,70656317,70900406,70930450,71247677,71271206,71521181,71799007,72031344,72178877,72274817,72293981,72309039,72510135,72580481,72580746,72594067,72959681,72966816,73116566,73152547,73354397,73398130,73410497,73425172,73431872,73522481,73596977,73841610,73845796,74015199,74033846,74035400,74188337,74199351,74350863,74426237,74534988,74556235,74789597,75068791,75328637,75357423,75525412,75676003,75899896,76028103,76131610,76363492,76492216,76506497,76558397,76736650,76816236,77158577,77260481,77277437,77311399,77344144,77744559,78007435,78009932,78263681,78269466,78280157,78428081,78453652,78673181,78764384,78851777,78985207,79023048,79042599,79061597,79111743,79214410,79363207,79461926,79619777,79667148,79730237,79777457,79798300,79844187,79871681,79949981,80105981,80120596,80128378,80175878,80392125,80393898,80553857,80605450,80692311,80819103,80887526,80964797,81035262,81607217,81750331,81857117,81950678,82003037,82069626,82087668,82127366,82197796,82220417,82610856,82656566,82720637,82832678,83057981,83113757,83266481,83280317,83289825,83678081,83732417,83749479,83935037,83937378,84392935,84413981,84492797,84504140,84630715,84946817,85079530,85112957,85116540,85252481,85302977,85378481,85387383,85581938,85669171,85751600,85813181,85935581,85996481,86053743,86105597,86139655,86250077,86279479,86357681,86405650,86653181,86830855,86897537,86948554,87012162,87058481,87104177,87161117,87341981,87361046,87434751,87465137,87498557,87576257,87631517,87774257,87802316,87839681,87975652,88077756,88215581,88310657,88320463,88609932,88796452,88837181,88842480,88877597,88900929,88905878,89225777,89294237,89467482,89525981,89605563,89664835,89724977,89751736,89753117,90030557,90048797,90166577,90300797,90345137,90353981,90398081,90439046,90476957,90537857,90608678,90631096,90667037,90790976,90924088,90944897,90961457,91068317,91165757,91357932,91447900,91466717,91513181,91559357,91623446,91785917,92031610,92083980,92181115,92297078,92422397,92680696,92703617,92739080,92866481,92903297,92937213,93305981,93355697,93474497,93516737,93553277,93608922,93749681,93850397,93915581,93956657,93961181,94075997,94103572,94156481,94193597,94213937,94277681,94331777,94376897,94431677,94442417,94477697,94509796,94549181,94585217,94722557,94748081,94765312,94791857,94802678,94838657,94880477,94903997,94910897,94915732,95057292,95059997,95063357,95069981,95092157,95122481,95135681,95143479,95159681,95176577,95194817,95208497,95221697,95228477,95231681,95233181,95237981,95388163,95757960,96025447,96062275,96165415,96216380,96290486,96470550,96582010,96619526,96726540,97062136,97109887,97510287,97885435,98000619,98093078,98222912,98256086,98406434,98519416,99716678,99718791,99726835,99743415,99925450,99947790,...,141541308478848603067027558693050154112139292858700001517437438864066967464371194962936895635245575413645043359853005434506472829165922950334868843603165888749510133473432142210399917289698651776847151560780208818940024041831820492974231098227267679898580931852220186604174081613023539826053950561947536785922937646136354388700685626023726873696253610817520335737454748720507113003016230713966844939289632884518450766405428093963603706885976890582342554687667045166846672003216916569430042104380933646850356023987098628647610161888449207974226330249745012931524648425127778421872856941872930866787477325155057134527411779375716311700851809741313090512828636241216759636862025459586842872728005197297415346244406425866948708230328898265658157435827545657828424664385753279040018217431117385480137606083087223473740024103414366669116650791366801624724738023418404595731483777250913223504820793362747603064641538114566129341484696024413922020496657027657149769799860157755264579924685065689580872376517619893000422621942738303574333975052973046679611609789559480295395667049814329785867027577928930876505166047262847808519960781945291104990091014470080129511843596412776123819825476862762804018118192960404542724192209952796199106447089832129500585209588655297029717614502725014387633011373947497985110521225976589607827999658751082445993942904585180399529049900967488192719900375780203227813138277082200125235967905397198519870812527879954680800988346061679141569387240082352479735036055950711725592838592354216100087939585387250170060770419203300326148699275052298112719815741741486773789840159364572978371569068461430584379325692178668704644218906820911558323861200425212865339559021362692080803064734243610906086704934733621731148140565849229208095398118398476245013052629348036524312651453163766008916341322187091076775585670469767611752241087810012333463095341668557821835744793773922455332914995470417682882046161749287410104154640320284316682526244229296601779336555901272238528370630174414069969706670882597459785181552042151195167659909349200962703450166993504118589285731725985847288176370911290181025490401606562520844723028965168152182255931930465833454106763399878932175666779928970853784512067699726422884787838904147744843664942727841739917299811064376587006752592677379915606214633685047798695593221753820567383907574884188077260988268029149451855813121146377412050975977763843317257063623359574107638356646953110767275124334053995794140497434697834026700208703465951879376709884362375521913175673155005198898224753603448308041893919934456133742394351654859961436237811903561290752116100426507975035403007402701184487823141528215790614953276337993828224273960824032008041668449363967847320529597631625322660566083322727073861081134238073709563591641234781185929696589807817473683557815173537892870786628250735066859665500509122801609805601074133223330528558937075350910953293050686542800850422779018248463603883524484899844023621486194605650559430671873205334885127282694597360027312728438773165994609069447501546678315526162708436105740728764710623689555528602261178660693928119423809970729}
19519  45741866820440285684702652555976154786506454727914820066987732243969134: {682745,819294,975350,1170420,1248448,1267565,1404504,1501577,1521078,1580067,2145110,2574132,2745129,3019865,3094617,3137729,3443889,3603245,3623838,3822196,3955049,4073201,4186265,4307069,4323894,4482470,4838817,5023518,5187009,5378964,5460280,5588177,5650070,5825417,5860169,6142815,6293009,6514745,6552336,6577617,6641657,6780084,7095965,7288886,7312875,7342829,7371378,7800400,7817694,7924697,7964769,7983110,8371670,8511449,8515158,8775450,9360480,9364589,9417245,9579732,9662177,9858398,9984512,10046004,10261217,10368148,10530540,10728521,10746449,10879817,11175206,11232576,11261174,11288249,11300694,11417529,11467241,12100529,12310745,12426326,12636648,12806654,13048937,13135809,13174564,13682489,13803110,14216229,14328017,14437094,14772894,14804489,14811640,14848689,14915849,15231014,15352070,15847766,15896369,15964580,16126070,16563732,16663095,16883801,16906036,17286470,17496365,17772377,17773968,18295220,18411998,18422484,18441917,18553528,18698177,18849929,19157496,19198406,19249204,19351284,19583129,19951529,19995714,20160317,20171956,20293617,20520326,20600318,20624420,20632089,20743764,20747558,20872719,20957417,20995638,21149270,21454838,21552183,21793361,21954264,22295416,22465469,22574174,23223965,23776454,24111389,24151480,24198566,24224249,24250409,24484454,24698547,24717137,24738209,24749304,24848475,25082343,25094104,25242206,25348017,25379124,25389110,25980617,26085089,26099969,26209721,26505040,26643245,26928470,26945249,27075257,27170415,27211865,27356169,27754238,27842967,27868758,28124788,28230867,28325537,28446134,28507577,28690617,28817080,28981776,29065694,29150921,29482745,29491997,29818170,29940089,30110129,30314006,30466932,30620609,31209398,31387252,31630648,31680489,31747865,31806048,31971894,31994729,32243729,32248820,32314164,32342529,32419215,32575576,32604498,32611217,32654238,33115814,33215476,33608175,33764126,33993849,34369901,34445944,34569380,34580496,34606070,34982049,34983686,35043494,35111252,35280689,35372535,35379294,35437409,35466398,35535641,35541086,35584479,35697965,35759729,35781804,35848720,35873318,35931617,36471316,36624729,36647523,36736457,37157414,37243479,37285670,37730704,37738889,37827377,38018486,38097438,38100269,38262009,38392868,38698584,38751687,38903058,38998646,39266009,39418169,40158761,40237076,40329810,40337417,40339768,40545129,40725110,41105789,41196404,41310365,41483256,41522420,41527284,41623889,41845017,41910518,42044414,42267401,42362475,42400409,42447042,42736817,42837558,42976948,43014470,43018464,43465017,43479917,43535907,43833197,43967198,44103065,44265017,44268374,44337475,44442377,44742804,44757129,45186640,45382239,46062470,46244966,46588984,46668663,46747049,46815209,46866904,46901606,47397158,47450680,48217814,48395772,48561917,48603209,48870132,49260929,49450349,49572438,49826904,49971929,50328568,50624870,50772980,50834970,50952278,51076817,51321965,51617364,51659006,51801969,51927284,52101880,52164806,52412607,52414046,52522855,52725267,52923678,52996166,53082020,53116888,53204970,53382015,54026475,54039110,54144926,54223968,54246116,54337809,54416019,54528998,54649815,54794774,55274964,56055267,56230617,56311670,56619639,56714969,56751968,56833565,56940816,56970758,57345497,57567377,57628240,57828449,57908969,58293136,58308737,58377917,58596857,58611329,58614615,58724536,59132969,59756499,59862569,59874014,60700697,60708692,60749844,60906017,60927576,60928617,61001964,61263341,61343609,61395640,61477577,61586358,61666852,62522256,62768056,62768175,63027426,63339250,63352829,63435518,63489110,63698424,63845964,63856838,63991094,64033617,64058418,64252888,64286777,64310909,64780975,64831770,64846932,65215718,65269569,65453348,65481641,65579778,65984438,66065103,66412409,66438041,66486038,66878870,66930689,66952720,67271789,67424169,67574004,67587974,67676126,68070616,68200278,68290745,68520758,68543523,68732726,68918836,68956689,69070095,69145167,69153888,70072361,70178817,70337538,70614063,70925492,70995245,71063966,71388470,71660727,71863046,72284499,72426797,72479417,72977081,73182317,73581398,73674768,73752484,73798580,73853369,73915215,74194049,74429049,74484854,74731017,74879366,74893624,75029789,75032650,75321810,75470006,76007100,76186932,76192694,76579443,76913465,77078237,77272217,77329601,77439009,77737170,77795619,77798124,78038409,78131309,78523934,78532769,78842896,78843806,79251017,79302209,79442104,79558577,79589165,79789684,79959206,80254644,80343264,80829809,81074240,81095609,81146695,81173369,81723245,81948894,82239110,82315675,82612070,82884114,82919648,83124449,83499809,83652614,83685206,83730470,83788215,83965097,83984889,84255327,84412358,84432795,84475670,84792086,84929369,85194294,85295009,85666164,85803017,85810814,85945048,86052975,86204489,86226932,86339289,86632617,86915309,87011704,87825110,88023149,88186961,88391897,88520918,88558296,88597217,88698258,88729347,88750529,89222836,89372367,89374096,90039180,90061648,90278104,90334841,90386172,91208520,91296489,91312169,91709656,91781465,91789840,91798481,91874558,92084201,92195417,92296158,92307245,92453817,92462609,92544250,93093854,93168735,93284604,93319289,93387401,93586178,93793556,93939446,94406765,94585169,94673894,94782689,94874870,95045169,95422814,95454365,95506998,95615270,95769377,96020295,96041792,96127289,96412052,96680180,96688179,96735494,96774328,97112729,97289088,97376034,97512415,97888167,97903929,98067065,98067894,98289641,98455480,98686932,98778810,98793398,98851217,98932468,99134484,99379984,99583935,99628083,99747875,99847838,99892209,...,188721744638464804089370078257400205482852390478266668689916585152089289952494926617249194180327433884860057813137340579341963772221230600446491791470887851666013511297909522947199889719598202369129535414373611758586698722442427323965641464303023573198107909136293582138898775484031386434738600749263382381230583528181805851600914168031635831595004814423360447649939664960676150670688307618622459919052843846024601021873904125284804942514635854109790072916889393555795562670955888759240056139174578195800474698649464838196813549184598943965635106999660017242032864566837037895830475922497241155716636433540076179369882372500955082267802412988417454017104848321622346182482700612782457163637340263063220461659208567822598277640438531020877543247770060877104566219181004372053357623241489847306850141444116297964986698804552488892155534388489068832966317364557872794308645036334550964673094391150330137419522050819421505788646261365885229360662209370209533026399813543673686106566246754252774496502023493190667230162590317738099111966737297395572815479719412640393860889399752439714489370103905241168673554729683797078026614375927054806653454685960106839349124795217034831759767302483683738690824257280539390298922946603728265475262786442839334113612784873729372956819336966685850177348498596663980147361634635452810437332878334776594658590539446907199372066534623317590293200501040270970417517702776266833647957207196264693161083370506606241067984461415572188759182986776469972980048074600948967457118123138954800117252780516333560081027225604400434864932366736397483626420988988649031719786879152763971162092091281907445839100922904891606192291875761215411098481600566950487119412028483589441070752978991481208115606579644828974864187421132305610793864157864634993350736839130715365750201937551688011888455096249454769034114227293023482336321450413349777950793788891410429114326391698563273777219993960556910509394882332383213472206187093712422243368325639062135705782074535029651371160840232552093292942227843463279713575402722868260223546545798934616937933555991338824785714308967981129717568494548386908033987202142083361126297371953557536243007909240621111272142351199838576234222373238627805046016090266301897179717118538863659791553256970455653223066414752502116009003456903173220808286178246730398260790962338427423178543433178917436347984357372199269141084161528503216067967970351791089676084831146098810184475529270814356366832445405327725520663246263778702266944937954602505835613179149834029217567564206673598530966338137931077389191893245941511656525802206479948581650415871415054336154800568677300047204009870268245983764188704287720819937701783991770965698614432042677388891265818623796427372796842167096880754777763636098481441512317431612751455521646374914572928786410423298244743753564717190494382171000980089146220667345497068813074134765510964440704745249433801214604390734248723734467230372024331284805178032646533125364828648259474200745907562497607113180169710259463146703083637918364221326145425930002062237754034883611248140987638352947498252740704803014904880925237492565079960972}
19520  45921460798071771582668083689144951037183995417893214971039468879622585: {253591,370519,429154,604159,663034,720871,837511,1092392,1130362,1228941,1419631,1463025,1535839,1560560,1597114,1755630,1830274,1872672,1884031,1999951,2028104,2106756,2281617,2373754,2693959,2761474,3217665,3432176,3458362,3660172,3767674,3861198,3922234,4074199,4126156,4591852,4777745,4831784,4925314,5079394,5216479,5310394,5387362,5435757,5444071,5733294,5765192,5898391,6011791,6451756,6464671,6485841,6698024,6723705,6825350,6916012,7171952,7254439,7535277,7688962,8068446,8190420,8264671,8376559,8475105,8736448,8770156,8834362,9040112,9672034,9750500,9828504,10170126,10267639,10355962,10378231,10423592,10619692,10811194,10933329,11057067,11353544,11370319,11480191,11700600,11726541,11795554,11946754,11974665,12465799,12480640,12557505,12772737,12772976,12927994,12960185,13163175,13394672,13662511,13770871,14040720,14369598,14507362,14787597,14976768,15067592,15069006,15182074,15223372,15494839,15552222,15795810,16029799,16234337,16452994,16456471,16468205,16751362,16762809,16848864,16891761,16951041,17123962,17412271,17514412,17793634,17940751,18467431,18514550,18536194,18639489,18954972,19201759,19209981,19351162,19508489,19619791,19697192,19724119,19761846,19798252,19955725,20036671,20140711,20659831,20704665,21132545,21177151,21637474,21655641,21957341,22084976,22159341,22206391,22217460,22513759,22664962,22738234,22846521,22869025,22957954,23028105,23191910,23396962,23533639,23635231,23698624,23736751,23771649,23946870,24040879,24061505,24189105,24563312,24845598,24856162,25214945,25351279,25359054,25543328,25752031,25780525,25801712,25929705,26350999,26550079,26660952,27058156,27442830,27509452,27541159,27617997,27633726,27658352,27676817,27738511,27830292,27837079,27869270,27994184,28503629,28548154,28623031,28736244,28797609,28818799,28835962,28873806,29026926,29272352,29482594,29598991,29793319,29993571,30140201,30181111,30189350,30257934,30780489,30900477,30914914,30936630,31115646,31121337,31241599,31343362,31367630,31493457,31625071,31723905,31984954,32182257,32838394,32863399,32931396,32999072,33014366,33131300,33443124,33797356,33838832,33861261,34277119,35155985,35210599,35297297,35489239,35664681,35859751,36021350,36218897,36227220,36229114,36297849,36413359,36474892,36726681,36930874,37055959,37123956,37147471,37158344,37238911,37512799,37641156,37786039,37863309,38068686,38083665,38149351,38254156,38421079,38642368,39165754,39234065,39322159,39538310,39757560,39769999,40207714,40311025,40392705,40622576,40719470,40765361,40837471,41008541,41107834,41519345,41631357,41803137,42069751,42157231,42187182,42240652,42280834,42408064,42629192,42669201,43057430,43085552,43114759,43123372,43211725,43225620,43374391,43472664,43538984,43598541,43889065,43891711,44037497,44235151,44544634,44727255,44810900,44954362,45022594,45088711,45258559,45325132,45471009,45589145,45635962,45700398,46107328,46477277,46642732,46690639,46814097,46994362,47080878,47163380,47172392,47400634,47445972,47603554,47709072,47957841,47991085,48008962,48019471,48278914,48373230,48430951,48471246,48832972,48863364,48906747,48922351,48981357,49573519,49657972,49673721,49823214,50296345,50424710,50461351,50646189,50696962,50796584,51006494,51016012,51021799,51383969,51495505,51598112,51668916,51698362,51854070,51870744,51903025,51909105,51974359,52053271,52475529,52565241,52666878,52696162,52916551,52919009,53068941,53094274,53150479,53199597,53311629,53672706,53721185,53773080,53809977,53925559,54060172,54706974,54922049,55076194,55226671,55311008,55369712,55529791,55605391,55736121,55793356,55928505,55957421,55996162,56221277,56432239,56483300,56596056,56651362,56656231,57027729,57102271,57116744,57146157,57239674,57357952,57398191,57471991,57565954,57589302,57631162,57692959,57839911,57953356,58047876,58217314,58236230,58354587,58497631,58497969,58542394,58583630,58932871,59313350,59515234,59561789,59652511,59657072,59676172,60355614,60364951,60494715,60509652,60647911,61087665,61140319,61293518,61794606,62224884,62283630,62290926,62390311,62865777,62910710,63066621,63142711,63434362,63466225,63549439,63670563,63886399,64134754,64256337,64355119,64465422,64521705,64527696,64687759,64820311,64909105,65018599,65127350,65160176,65531921,65719354,65740111,65950797,66096584,66352525,66396110,66402561,66435872,67029631,67114206,67663591,67779960,67807645,68316721,68483962,68539039,68601031,68823152,68987534,69069292,69093705,69155719,69367449,69419362,69511841,69883476,69886231,70040962,70300356,70352409,70487071,70546759,70564904,70908514,70939960,70970362,71095737,71176020,72035300,72188791,72203962,72298624,72303919,72326721,72450412,72476071,72554692,72593658,72756994,72866420,73124962,73158199,73305198,73405670,73551319,73662991,73699952,73718719,74042362,74103394,74272039,74358657,74408314,74436631,74709511,74740356,74974156,75201917,75492852,75570631,75683777,75783031,75885865,75921088,75937305,76135241,76159470,76252455,76361191,76428417,76569271,76672879,76744550,77083565,77288479,77319341,77426046,77488509,77592391,77890926,78152820,78202334,78247209,78291439,78340831,78460070,78621069,78684559,78803942,78814594,78993341,79385517,79471162,79494249,79504639,79530754,79623030,79675332,79789111,79807455,79883359,79977319,80245949,80316110,80535031,80719234,80764351,80999792,81058665,81172591,81217389,81236768,81238156,81335952,81369174,81441511,81606394,81707839,81758729,81793497,81816685,82015279,82115144,82192161,82489954,82662199,82789639,82912446,83084479,83292919,83363008,83369914,83540671,83581711,83690900,83704399,83736169,83785831,84036568,84108679,84148711,84421114,84467505,84677537,84931232,84934231,84972751,85088270,85127952,85378156,85411224,85456137,85765039,85838839,85988194,86148545,86219362,86275591,86383159,86442360,86462576,86631631,86957486,86980471,87026092,87117991,87439704,87456751,87715714,88016119,88086804,88335439,88459834,88585711,88656865,88800919,88922311,89250199,89315074,89555246,89618942,89739799,89811021,89898892,90045511,90098672,90369079,90421999,90449794,90506362,90933704,90935359,90960271,91009879,91014754,91063038,91124766,91181239,91314377,91368017,91372759,91391364,91502946,91690594,91897711,91919671,91942252,92093460,92135311,92190605,92193556,92205184,92219551,92248225,92343751,92379537,92500278,92719951,92795839,92851999,92889079,92925871,92945006,92979514,93016591,93034519,93314362,93377959,93570199,93571756,93617030,93737311,93783384,93792881,93824791,93867559,93978439,94110559,94148962,94152084,94198759,94452991,94505911,94541139,94557031,94690591,94697174,94743511,94777351,94810039,94886719,94929271,94942879,95008875,95024311,95083711,95142679,95153277,95195599,95200954,95212231,95233665,95235991,95237719,95245279,95247799,95256871,95257159,95311354,95547636,95651197,95747897,95768946,95785257,95986641,96027394,96087627,96379332,96526177,97247655,97270398,97823577,97926941,97941754,98180022,98233024,98322274,98369667,98553620,98976657,99080962,99238732,99302630,99641356,99729057,99737105,...,283082616957697206134055117386100308224278585717400003034874877728133934928742389925873791270491150827290086719706010869012945658331845900669737687206331777499020266946864284420799834579397303553694303121560417637880048083663640985948462196454535359797161863704440373208348163226047079652107901123895073571845875292272708777401371252047453747392507221635040671474909497441014226006032461427933689878579265769036901532810856187927207413771953781164685109375334090333693344006433833138860084208761867293700712047974197257295220323776898415948452660499490025863049296850255556843745713883745861733574954650310114269054823558751432623401703619482626181025657272482433519273724050919173685745456010394594830692488812851733897416460657796531316314871655091315656849328771506558080036434862234770960275212166174446947480048206828733338233301582733603249449476046836809191462967554501826447009641586725495206129283076229132258682969392048827844040993314055314299539599720315510529159849370131379161744753035239786000845243885476607148667950105946093359223219579118960590791334099628659571734055155857861753010332094525695617039921563890582209980182028940160259023687192825552247639650953725525608036236385920809085448384419905592398212894179664259001170419177310594059435229005450028775266022747894995970221042451953179215655999317502164891987885809170360799058099801934976385439800751560406455626276554164400250471935810794397039741625055759909361601976692123358283138774480164704959470072111901423451185677184708432200175879170774500340121540838406600652297398550104596225439631483482973547579680318729145956743138136922861168758651384357337409288437813641823116647722400850425730679118042725384161606129468487221812173409869467243462296281131698458416190796236796952490026105258696073048625302906327532017832682644374182153551171340939535223504482175620024666926190683337115643671489587547844910665829990940835365764092323498574820208309280640568633365052488458593203558673111802544477056741260348828139939413341765194919570363104084302390335319818698401925406900333987008237178571463451971694576352741822580362050980803213125041689446057930336304364511863860931666908213526799757864351333559857941707569024135399452845769575677808295489687329885455683479834599622128753174013505185354759831212429267370095597391186443507641134767815149768376154521976536058298903711626242292754824101951955527686634514127246719148215276713293906221534550248668107991588280994869395668053400417406931903758753419768724751043826351346310010397796449507206896616083787839868912267484788703309719922872475623807122581504232200853015950070806014805402368975646283056431581229906552675987656448547921648064016083336898727935694641059195263250645321132166645454147722162268476147419127183282469562371859393179615634947367115630347075785741573256501470133719331001018245603219611202148266446661057117874150701821906586101373085601700845558036496927207767048969799688047242972389211301118861343746410669770254565389194720054625456877546331989218138895003093356631052325416872211481457529421247379111057204522357321387856238847619941458}
19521  46101754892018924796981492567354858073281875273559152915718695647758257: {643731,955843,994551,1365490,1638588,1695543,1774591,1950700,2340840,2395671,2496896,2535130,2633445,2745411,2809008,3003154,3042156,3160134,3560631,4142211,4227811,4290220,4575215,4813783,5044543,5148264,5157695,5187543,5490258,5651511,5739815,5791797,5860771,5883351,6039730,6189234,6275458,6887778,7033363,7206490,7247676,7387971,7619091,7644392,7849231,7910098,7965591,8064695,8081043,8146402,8372530,8599941,8614138,8645015,8647788,8780519,8964940,9120643,9365551,9677634,9934351,10047036,10062371,10238025,10374018,10757928,10920560,10962695,11176354,11300140,11343431,11468419,11533443,11650834,11720338,12102669,12188125,12285630,12586018,12985823,13029490,13104672,13155234,13184143,13251543,13274615,13283314,13560168,13565711,14191930,14508051,14577772,14625750,14685658,14742756,15255189,15421471,15533943,15546143,15600800,15635388,15849394,15929538,15966220,16216791,16368383,16743340,16933111,17022898,17030316,17235043,17550900,17693331,17736851,17920131,18347951,18720960,18729178,18834490,19013159,19029215,19159464,19324354,19391991,19716796,19953583,19969024,20092008,20522434,20736296,21061080,21457042,21492898,21554397,21759634,21761043,21893015,22350412,22465152,22522348,22532119,22576498,22601388,22603509,22773111,22835058,22837331,22934482,23328333,23455631,23693715,24201058,24494911,24621490,24679491,24747815,24852652,25127043,25273296,25613308,25685943,25922851,26097874,26271618,26349128,26622943,26690451,26948023,27364978,27403031,27606220,27771825,27804291,27925139,28432458,28656034,28874188,29026743,29153923,29195111,29545788,29608978,29623280,29642769,29697378,29831698,30462028,30704140,30930631,31695532,31724291,31792738,31929160,31998031,32252140,32456211,32513551,33127464,33249863,33314951,33326190,33767602,33812072,33822695,33997443,34107351,34386815,34436931,34572940,34787865,34992730,35095443,35544754,35547936,35920305,36590440,36740239,36823996,36844968,36883834,37107056,37250111,37268397,37284243,37300543,37396354,37447391,37699858,38038581,38096611,38314992,38396812,38498408,38702568,39166258,39903058,39987839,39991428,40320634,40341571,40343912,40587234,40589219,41040652,41164245,41200636,41248840,41264178,41275843,41414125,41450589,41487528,41495116,41745438,41803905,41914834,41991276,42214871,42246695,42298540,42822231,42909676,42914243,43104366,43143671,43253943,43310709,43540389,43586722,43837711,43908528,43940671,44223891,44447011,44590832,44930938,45148348,45284025,45386901,45593615,46372371,46404945,46447930,46673469,46979399,47015043,47051445,47552908,47721251,47817695,47977431,48134743,48222778,48302960,48377711,48397132,48448498,48500818,48968908,49257591,49397094,49434274,49476418,49498608,49521549,49696950,49952383,49977151,50079143,50164686,50188208,50484412,50696034,50758248,50778220,50930791,51961234,52170178,52199938,52419442,52800815,53010080,53174099,53286490,53856940,53890498,53904215,54032025,54150514,54340830,54343671,54423730,54712338,55396311,55508476,55685934,55737516,56013625,56249576,56461734,56651074,56656415,56796239,56892268,57015154,57103029,57381234,57634160,57834511,57963552,58131388,58301842,58303415,58748631,58954225,58965490,58983994,59307465,59636340,59880178,60220258,60311571,60363511,60628012,60933864,61041215,61079205,61241218,61661751,61744291,61902691,62072465,62418796,62774504,63261296,63280773,63360978,63421251,63495730,63504983,63612096,63770015,63943788,63989458,64487458,64497640,64586145,64628328,64685058,64747811,64838430,65151152,65208996,65222434,65308476,65488399,66231628,66430952,66816951,67216350,67431543,67528252,67533891,67541843,67575215,67771951,67987698,68453943,68550597,68739802,68891888,69138760,69160992,69212140,69250831,69579943,69741695,69964098,69967372,70086988,70222504,70491543,70561378,70604125,70621317,70745070,70757759,70758588,70806103,70874818,70932796,71071282,71082172,71100951,71168958,71395930,71405331,71519458,71563608,71697440,71746636,71850751,71863234,72013443,72418371,72441695,72559845,72706869,72942632,73145171,73249458,73295046,73472914,73531997,73860991,74314828,74386631,74486958,74571340,74595215,74734821,75461408,75477778,75637065,75644291,75654754,76036972,76045443,76194876,76200538,76509741,76524018,76785736,77397168,77503374,77547543,77781105,77806116,77997292,78532018,78836338,79000317,79044243,79536323,79566991,79641411,80248439,80317522,80474152,80509059,80659620,80674834,80679536,80838151,81090258,81228899,81450220,81818759,82060461,82211578,82392808,82614291,82620730,82966512,83044840,83054568,83247778,83690034,83821036,83856823,83994243,84088828,84534802,84724950,84800818,84894084,84977043,84989351,85473634,85675116,85859511,85953896,86028940,86036928,86330311,86336615,86348931,86383953,86446743,86930034,86959834,87028243,87071814,87325971,87354345,87452831,87666394,87813591,87875445,87934396,88206130,88530034,88536748,88674950,88884754,88970025,89272851,89485608,89514258,90044125,90373280,90453539,90533421,90563015,90693365,90764478,91083025,91321711,91410743,91940277,91963631,92124940,92489932,92691909,93177968,93337326,93397039,93425445,93436389,93494098,93630418,93717695,93733808,93803212,94093711,94366065,94792471,94794316,94898963,94901360,95151543,95607043,95689991,96202131,96435628,96698133,96791544,96923423,97123834,97206418,97689539,97691025,97740264,98521858,98579031,98900698,99020419,99144876,99393343,99594165,99653808,99943858,...,424623925436545809201082676079150462336417878576100004552312316592200902393113584888810686905736726240935130079559016303519418487497768851004606530809497666248530400420296426631199751869095955330541454682340626456820072125495461478922693294681803039695742795556660559812522244839070619478161851685842610357768812938409063166102056878071180621088760832452561007212364246161521339009048692141900534817868898653555352299216284281890811120657930671747027664063001135500540016009650749708290126313142800940551068071961295885942830485665347623922678990749235038794573945275383335265618570825618792600362431975465171403582235338127148935102555429223939271538485908723650278910586076378760528618184015591892246038733219277600846124690986694796974472307482636973485273993157259837120054652293352156440412818249261670421220072310243100007349952374100404874174214070255213787194451331752739670514462380088242809193924614343698388024454088073241766061489971082971449309399580473265793739774055197068742617129552859679001267865828214910723001925158919140038834829368678440886187001149442989357601082733786792629515498141788543425559882345835873314970273043410240388535530789238328371459476430588288412054354578881213628172576629858388597319341269496388501755628765965891089152843508175043162899034121842493955331563677929768823483998976253247337981828713755541198587149702902464578159701127340609683439414831246600375707903716191595559612437583639864042402965038185037424708161720247057439205108167852135176778515777062648300263818756161750510182311257609900978446097825156894338159447225224460321369520478093718935114707205384291753137977076536006113932656720462734674971583601275638596018677064088076242409194202730832718260114804200865193444421697547687624286194355195428735039157888044109572937954359491298026749023966561273230326757011409302835256723263430037000389286025005673465507234381321767365998744986411253048646138485247862230312463920960852950047578732687889805338009667703816715585111890523242209909120012647792379355544656126453585502979728047602888110350500980512355767857195177957541864529112733870543076471204819687562534169086895504456546767795791397500362320290199636796527000339786912561353536203099179268654363516712443234530994828183525219751899433193129761020257778032139746818643901055143396086779665261461702151722724652564231782964804087448355567439363439132236152927933291529951771190870078722322915069940859332301825373002161987382421492304093502080100626110397855638130129653087126565739527019465015596694674260810344924125681759803368401227183054964579884308713435710683872256348301279523925106209022208103553463469424584647371844859829013981484672821882472096024125005348091903541961588792894875967981698249968181221583243402714221128690774923704343557789089769423452421050673445520613678612359884752205200578996501527368404829416803222399669991585676811226052732859879152059628402551268337054745390811650573454699532070864458583816951678292015619616004655381848083792080081938185316319497983827208342504640034946578488125308317222186294131871068666585806783535982081784358271429912187}
19522  46282751812137124721276233221157707026895804235556695826188999284576140: {507182,741038,858308,1031857,1148317,1208318,1326068,1441742,1675022,1729537,1961521,2048235,2184784,2260724,2438375,2457882,2540221,2839262,2886577,2926050,3071678,3121120,3194228,3511260,3660548,3745344,3768062,3802695,3999902,4056208,4213512,4494337,4504731,4563234,4740201,4747508,5065117,5362775,5387918,5522948,5974621,6435330,6688843,6864352,6879517,6916724,7320344,7330237,7535348,7667521,7722396,7844468,8148398,8235387,8252312,8451997,8563777,9059595,9183704,9283851,9344221,9413187,9555490,9663568,9677617,9850628,9899521,10158788,10331667,10432958,10620788,10673917,10774724,10809735,10871514,10888142,11206175,11466588,11530384,11796782,11865147,12023582,12219603,12321457,12558795,12867037,12903512,12921207,12929342,12971682,13396048,13447410,13519357,13650700,13832024,14125175,14343904,14492977,14508878,14516451,15070554,15138817,15353521,15377924,15561027,16136892,16380840,16529342,16753118,16764531,16950210,17272897,17472896,17476251,17540312,17580507,17668724,18080224,18144259,18222215,18223837,18428445,18854557,18879027,19344068,19501000,19544235,19587121,19657008,19732851,19924971,19957775,20340252,20420017,20535278,20711924,20756462,20847184,20929175,21145021,21239384,21287895,21622388,21660721,21866497,21866658,21938625,22028487,22114134,22707088,22740638,22960382,23055487,23401200,23453082,23502337,23591108,23774091,23893508,23894307,23949330,24645995,24918577,24931598,24961280,25115010,25534347,25545474,25545952,25855988,25920370,25921537,25939859,26326350,26718721,26789344,27325022,27541742,27938015,28081440,28093767,28152935,28251735,28397437,28691521,28739196,28887217,28984957,28986531,29014724,29575194,29585563,29953536,30135184,30138012,30364148,30446744,30783651,30828337,30989678,31065815,31104444,31591620,32016635,32059598,32185563,32239347,32468674,32639451,32905988,32912942,32936410,33502724,33525618,33686017,33686107,33697728,33783522,33864747,33902082,34247924,34249777,34252587,34401723,34507775,34824542,35028824,35090557,35300923,35587268,35647837,35881502,36092735,36301587,36932235,36934862,37029100,37029697,37072388,37278978,37909944,38077535,38380175,38403518,38419962,38702324,39016978,39146811,39239582,39394384,39407427,39448238,39523692,39596504,39619415,39911450,40073342,40076531,40101937,40191037,40281422,40315175,41047467,41078077,41319662,41409330,41430877,42265090,42354302,42648687,42804151,42984051,43177597,43216175,43274948,43311282,43695997,43868221,43914682,44169952,44297521,44318682,44412782,44413467,44434920,44468737,44546067,44747547,45027518,45320497,45329924,45405277,45476468,45574621,45693042,45738050,45915908,46029995,46056210,46383820,46793924,47067278,47085757,47270462,47397248,47473502,47543298,47667121,47689107,47893740,47996015,48081758,48123010,48244957,48378210,49126624,49145857,49218379,49691196,49712324,49989285,50118721,50429890,50651403,50702558,50718108,50761537,51086656,51300815,51500795,51504062,51561050,51603424,51859410,51868895,52269757,52489095,52505521,52701998,52873175,53100158,53317131,53321904,53519677,53637095,53906497,54116312,54204491,54885660,54927691,55018904,55082318,55235994,55267452,55316704,55325751,55353634,55435777,55477022,55587121,55660584,55674158,55738540,55988368,56094531,56435435,56549787,57007258,57096308,57246062,57472488,57595218,57637598,57671924,57747612,58053852,58127083,58544704,58749387,58771357,58965188,59197982,59277121,59441135,59586638,59854587,59987142,60280402,60349021,60362222,60378700,60480951,60496415,60515868,60702721,60880851,61211135,61444691,61560978,61800954,61829828,61873260,61896267,61917383,62231292,62242674,62483198,62540647,62618157,62650177,62686724,62735260,62872251,62986914,62991997,63105515,63250142,63447810,63472775,63670237,63824803,63969908,64364514,64656549,64939057,65005117,65334337,65380083,65676788,65726798,65862792,65987377,65998144,66028732,66246577,66262600,66440221,66761521,66886248,67187519,67321175,67396407,67594712,67677664,67722522,68323739,68465437,68554238,69083197,69385595,69450397,69572221,69671895,70177021,70311970,70414883,70421198,70594594,70655677,70978478,71115335,71329362,71540737,71719502,71948221,72042700,72093707,72334167,72352177,72437794,72454440,72458228,72595698,72638557,72664235,72672747,72751227,72826718,72949784,73028219,73453362,73542877,73861748,74043457,74095641,74111918,74151411,74214627,74247912,74294942,74316688,74477822,74545425,75025598,75134977,75188797,75209659,75247029,75282312,75572078,75726618,75785015,76044051,76137372,76167330,76298702,76508312,76614721,76842158,76873021,77284736,77888221,77941851,78023495,78255267,78286237,78299907,78331508,78468130,78629163,78644318,78728497,79076620,79116721,79515120,79539998,79595521,79690417,79926397,79929735,80392957,80415428,80622050,80737943,80785410,80835747,81225771,81245152,81438940,81511245,81527857,81530722,81635595,81674942,81881521,82017082,82068507,82215668,82789535,83038690,83041117,83262714,83528901,83606274,83703517,83744771,84139502,84314462,84374364,84410315,84466177,84481304,84561668,84692601,84779521,84816128,84976611,85049917,85088257,85164721,85258384,85278877,85338402,85522731,85913521,86071851,86114860,86171104,86229518,86246744,86384797,86423450,86451240,86515175,86703937,86748782,86878717,86913457,86945328,87077968,87135851,87154621,87197082,87452763,87459215,87559837,87608735,87758557,87778130,87783422,87889597,88074994,88244017,88307521,88448235,88470302,88475991,88665995,88682497,88852715,88987057,89089268,89136637,89454510,89621800,89683295,89820267,89908724,89941021,90045188,90078721,90177422,90330387,90348721,90517118,90533437,90559537,90650264,90872747,90942018,90992221,91178290,91271924,91377403,91400796,91521277,91590721,91817521,91861827,92214656,92311837,92554621,92594077,92749021,92893535,92954554,92972797,93214175,93285464,93322717,93381278,93502897,93587483,93628194,93793597,93865777,93988724,94071517,94084657,94161756,94236721,94320637,94326760,94344784,94412221,94591537,94640317,94784317,94801268,94891944,94930703,94972417,94985521,95041467,95046215,95074621,95100721,95125021,95160157,95168221,95187121,95207108,95243595,95271937,95275357,95418144,95661023,95915682,95982170,95984187,96017924,96038942,96557828,96731187,96746460,96861902,96942492,97027587,97257645,97496615,97665944,97726728,97813494,97833651,97844702,97962714,98960927,99147038,99315944,99347442,99646428,...,566165233915394412268110234772200616448557171434800006069749755456267869857484779851747582540982301654580173439412021738025891316663691801339475374412663554998040533893728568841599669158794607107388606243120835275760096167327281971896924392909070719594323727408880746416696326452094159304215802247790147143691750584545417554802742504094907494785014443270081342949818994882028452012064922855867379757158531538073803065621712375854414827543907562329370218750668180667386688012867666277720168417523734587401424095948394514590440647553796831896905320998980051726098593700511113687491427767491723467149909300620228538109647117502865246803407238965252362051314544964867038547448101838347371490912020789189661384977625703467794832921315593062632629743310182631313698657543013116160072869724469541920550424332348893894960096413657466676466603165467206498898952093673618382925935109003652894019283173450990412258566152458264517365938784097655688081986628110628599079199440631021058319698740262758323489506070479572001690487770953214297335900211892186718446439158237921181582668199257319143468110311715723506020664189051391234079843127781164419960364057880320518047374385651104495279301907451051216072472771841618170896768839811184796425788359328518002340838354621188118870458010900057550532045495789991940442084903906358431311998635004329783975771618340721598116199603869952770879601503120812911252553108328800500943871621588794079483250111519818723203953384246716566277548960329409918940144223802846902371354369416864400351758341549000680243081676813201304594797100209192450879262966965947095159360637458291913486276273845722337517302768714674818576875627283646233295444801700851461358236085450768323212258936974443624346819738934486924592562263396916832381592473593904980052210517392146097250605812655064035665365288748364307102342681879070447008964351240049333852381366674231287342979175095689821331659981881670731528184646997149640416618561281137266730104976917186407117346223605088954113482520697656279878826683530389839140726208168604780670639637396803850813800667974016474357142926903943389152705483645160724101961606426250083378892115860672608729023727721863333816427053599515728702667119715883415138048270798905691539151355616590979374659770911366959669199244257506348027010370709519662424858534740191194782372887015282269535630299536752309043953072116597807423252484585509648203903911055373269028254493438296430553426587812443069100497336215983176561989738791336106800834813863807517506839537449502087652702692620020795592899014413793232167575679737824534969577406619439845744951247614245163008464401706031900141612029610804737951292566112863162459813105351975312897095843296128032166673797455871389282118390526501290642264333290908295444324536952294838254366564939124743718786359231269894734231260694151571483146513002940267438662002036491206439222404296532893322114235748301403643813172202746171203401691116072993854415534097939599376094485944778422602237722687492821339540509130778389440109250913755092663978436277790006186713262104650833744422962915058842494758222114409044714642775712477695239882916}
19523  46464454278695727067164653433293564255413866529428109940762603404422198: {760773,1072885,1111557,1287462,1657585,1812477,1911686,1989102,2162613,2359621,2512533,2730980,2825905,3277176,3391086,3549182,3686823,3901400,3992785,4258893,4389075,4575685,4607517,4681680,4791342,4930717,4993792,5070260,5266890,5490822,5618016,5632321,5652093,5934385,5999853,6006308,6084312,6215077,6320268,6405301,6844851,6903685,7121262,7220773,7617853,8035741,8081877,8284422,8455622,8580440,8645905,8781421,9150430,9208837,9419185,9602161,9627566,9652995,9805585,10089086,10296528,10303333,10315390,10375086,10376977,10980516,11290573,11303022,11479630,11583594,11721542,11766702,11891893,12079460,12103021,12222597,12246001,12313285,12378468,12550916,12698485,12987157,13275985,13405873,13468405,13775556,13881397,14066726,14227453,14333235,14412980,14495352,14775942,15161677,15183421,15238182,15288784,15347773,15649437,15698462,15820196,15931182,16129390,16162086,16292804,16307271,16332213,16563013,16745060,16887277,17063375,17199882,17228276,17290030,17295576,17375101,17497237,17561038,17695173,17738677,17929880,18035373,18241286,18584461,18731102,19015117,19222405,19242973,19355268,19394013,19457523,19505341,19868702,20094072,20124742,20171115,20476050,20748036,20877361,20961733,21515856,21763317,21841120,21925390,22085905,22352708,22470097,22600280,22605831,22686862,22936838,23066886,23264197,23301668,23440676,23705893,24116353,24180085,24205338,24376250,24571260,24794013,25129677,25172036,25425315,25889905,25971646,26058980,26090461,26209344,26215117,26310468,26368286,26381437,26503086,26506261,26549230,26566628,26640901,26989573,27027985,27120336,27131422,27405853,27928021,28383860,29016102,29155544,29251500,29371316,29377921,29485512,29488885,29621317,29866885,29880817,29946253,30510378,30626917,30650221,30802917,30842942,31067886,31092286,31134693,31201600,31270776,31698788,31727557,31859076,31932440,32319985,32433582,32617933,32680321,32736766,32799987,33002437,33171201,33486680,33866222,33974653,34045796,34060632,34110957,34376977,34440573,34470086,34503313,34646941,35101800,35179623,35287957,35386662,35473702,35542957,35840262,35923995,36268405,36695902,37067053,37234357,37397397,37441920,37458356,37668980,37672515,37746661,37955185,38026318,38058430,38066677,38108113,38318211,38318928,38648708,38783982,38880555,39274093,39433592,39489525,39907166,39938048,39991957,40184016,40987533,41014237,41044868,41114257,41132485,41312613,41472592,41632477,41839261,41878405,42122160,42219217,42409141,42745621,42809905,42914084,42918661,42985796,43108794,43288093,43519268,43522086,43786030,44274133,44362791,44484085,44700824,44797621,44930304,45044696,45064238,45152996,45202776,45207018,45546222,45670116,45674662,45868964,46286375,46340485,46484517,46656666,46911262,46984237,47315917,47351773,47387430,47969077,48089397,48141541,48219397,48377905,48382693,48402116,48571921,48613237,48703011,48989822,49242980,49271077,49358982,49369413,49404615,49495630,49705304,50254086,50288427,50386813,50546592,50668717,50675283,50853123,51226616,51371886,51845702,52195748,52236813,52543236,52698256,53245886,53380902,53532877,53822253,53843341,53896046,54093685,54542353,54729956,54806062,55212440,55402293,55543650,55608582,55687357,55850278,55918467,56588533,56662405,56845585,56858353,56864916,57312068,57394885,57605277,57629943,57748376,57920917,57979775,58053486,58307846,58390222,58492405,58525467,58859373,59091576,59145373,59172357,59217956,59246560,59285538,59394756,59443021,59586613,59663396,59867175,60110013,60157861,60422133,60713221,60924056,61408280,61861262,61942837,61979493,62113995,62140405,62842117,62846317,63391064,63397635,63448582,63511537,63531453,63585476,63831061,63858320,63996062,64504280,64665841,64912422,64966923,65027102,65872023,66254928,66478023,66499726,66571693,66619173,66629902,66652380,66944773,67535204,67541277,67624144,67645390,67884637,67994886,68214702,68539563,68607075,68773630,68873862,68900053,69084315,69145880,69575730,69673175,69831397,69838021,69985460,70190886,70600917,70905693,71089508,71095872,71210253,71314947,71370385,71840610,72089905,72122637,72184515,72567315,73180880,73480478,73566757,73647992,73689936,73706485,73767668,73921141,74209357,74214112,74258053,74500222,74536794,74568486,74601086,74792708,74894782,75399716,75465901,75473375,75644835,76053837,76077162,76193222,76340353,76629984,76721461,76793624,76996816,77256093,77287285,77341575,77405136,77789115,78281821,78332516,78358405,78419075,78527317,79052997,79318981,79650237,79806116,79962385,79975678,79982856,80256721,80424997,80641268,80683142,80687824,80998513,81095821,81174468,81178438,81190117,81624781,81837517,82081304,82095985,82328490,82401272,82497680,82528356,82535915,82551686,82623477,82828250,82853991,82901178,82975056,82990232,83030451,83215533,83490876,83511237,83517037,83607810,83829668,83982421,83982552,84098881,84162997,84429742,84493390,84597080,84824437,85283413,85457701,85510887,85644462,85819352,85828486,85869093,86208732,86287342,86392827,86444293,86456397,86507886,86577937,86621418,86901451,87080778,87173444,87675422,87817056,87881342,87911473,87970801,88340677,88348861,88447782,88796973,88894022,89135173,89181664,89278021,89379957,89861876,89980713,90053375,90296696,90420603,90463021,90543333,90568050,90572785,90773802,90873277,91187230,91420177,92103517,92327185,92341467,92701431,92744742,92809890,92895860,92923237,93346938,93364011,93609517,93724797,93784693,93958798,94030086,94102890,94480371,94605301,94875213,94908757,95105816,95171715,95442502,95635390,95699953,95954862,96269486,96445556,96546771,96605920,96607621,96694897,96755422,96794264,96896996,97001636,97638373,97699621,97914385,97937816,98115877,98515182,98590197,98794188,98845775,98868548,98952836,98997216,99043098,99393900,99596593,99904766,99954302,...,849247850873091618402165352158300924672835757152200009104624633184401804786227169777621373811473452481870260159118032607038836974995537702009213061618995332497060800840592853262399503738191910661082909364681252913640144250990922957845386589363606079391485591113321119625044489678141238956323703371685220715537625876818126332204113756142361242177521664905122014424728492323042678018097384283801069635737797307110704598432568563781622241315861343494055328126002271001080032019301499416580252626285601881102136143922591771885660971330695247845357981498470077589147890550766670531237141651237585200724863950930342807164470676254297870205110858447878543076971817447300557821172152757521057236368031183784492077466438555201692249381973389593948944614965273946970547986314519674240109304586704312880825636498523340842440144620486200014699904748200809748348428140510427574388902663505479341028924760176485618387849228687396776048908176146483532122979942165942898618799160946531587479548110394137485234259105719358002535731656429821446003850317838280077669658737356881772374002298885978715202165467573585259030996283577086851119764691671746629940546086820480777071061578476656742918952861176576824108709157762427256345153259716777194638682538992777003511257531931782178305687016350086325798068243684987910663127355859537646967997952506494675963657427511082397174299405804929156319402254681219366878829662493200751415807432383191119224875167279728084805930076370074849416323440494114878410216335704270353557031554125296600527637512323501020364622515219801956892195650313788676318894450448920642739040956187437870229414410768583506275954153072012227865313440925469349943167202551277192037354128176152484818388405461665436520229608401730386888843395095375248572388710390857470078315776088219145875908718982596053498047933122546460653514022818605670513446526860074000778572050011346931014468762643534731997489972822506097292276970495724460624927841921705900095157465375779610676019335407633431170223781046484419818240025295584758711089312252907171005959456095205776220701001961024711535714390355915083729058225467741086152942409639375125068338173791008913093535591582795000724640580399273593054000679573825122707072406198358537308727033424886469061989656367050439503798866386259522040515556064279493637287802110286792173559330522923404303445449305128463565929608174896711134878726878264472305855866583059903542381740157444645830139881718664603650746004323974764842984608187004160201252220795711276260259306174253131479054038930031193389348521620689848251363519606736802454366109929159768617426871421367744512696602559047850212418044416207106926938849169294743689719658027962969345643764944192048250010696183807083923177585789751935963396499936362443166486805428442257381549847408687115578179538846904842101346891041227357224719769504410401157993003054736809658833606444799339983171353622452105465719758304119256805102536674109490781623301146909399064141728917167633903356584031239232009310763696167584160163876370632638995967654416685009280069893156976250616634444372588263742137333171613567071964163568716542859824374}
19524  46646865022417799376488365594671475228914337090197383001616946815554756: {331619,448523,798803,915419,1014364,1031963,1187243,1303619,1482076,1613603,1716616,1884419,1931193,1961723,2000363,2063714,2077619,2296634,2416636,2652136,2656019,2867529,2883484,2925323,2983653,3350044,3413725,3459074,3692603,3923042,4096470,4304123,4369568,4521448,4837523,4876750,4915764,4951619,5080442,5086629,5323773,5634683,5678524,5773154,5852100,5975243,6013043,6088619,6143356,6242240,6337825,6388456,7022520,7030619,7187013,7321096,7331003,7490688,7507885,7536124,7605390,7900335,7999804,8112416,8236233,8427024,8452883,8988674,9009462,9126468,9271019,9480402,9495016,9937523,10130234,10681893,10725550,10775836,10932419,11045896,11482619,11592443,11949242,12426633,12683433,12870660,13377686,13665419,13725645,13728704,13759034,13833448,14098523,14441349,14640688,14660474,15070696,15099325,15133629,15176243,15335042,15390923,15444792,15473085,15562629,15688645,15688936,15926363,16104443,16296796,16470774,16504624,16531019,16885619,16903994,16954533,17127554,17219445,17375391,17416019,17486603,17582313,17650053,18014963,18016225,18119190,18225803,18367408,18567702,18688442,18826374,18891563,19066283,19110980,19327136,19355234,19624043,19701256,19775245,19799042,20110403,20214419,20317576,20366005,20663334,20664323,20865916,20931325,21100089,21181763,21241576,21347834,21491363,21535345,21549448,21619470,21743028,21776284,22163913,22211243,22279619,22382123,22412350,22621019,22857273,22933176,23060768,23538803,23547693,23593564,23708123,23730294,23809619,23896773,24047164,24194085,24243129,24439206,24642914,25055483,25117590,25511101,25734074,25799823,25807024,25824419,25842414,25858684,25935045,25943364,26157419,26341557,26721683,26754803,26792096,26894820,27038714,27217643,27301400,27361929,27664048,27744683,27908963,27940885,28096653,28138619,28250350,28687808,28694723,28890443,28985954,29017756,29020763,29032902,29127085,29300845,29803053,30141108,30187113,30252419,30277634,30656197,30707042,30714075,30755848,30831803,30960203,31122054,31465045,31536419,31696019,32078243,32273784,32573725,32761680,32888085,32965619,33058684,33208285,33501323,33506236,33529062,33900420,34030293,34284923,34405257,34504393,34545794,34600329,34628123,34945792,34952502,35080624,35161014,35337448,35466419,35479825,35867963,36160448,36288518,36298883,36308007,36444430,36447674,36564375,36714145,36856890,37064483,37156019,37217003,37709114,37758054,38158163,38218619,38688136,38957469,39002000,39088470,39113221,39121619,39174242,39314016,39414109,39465702,39510683,39552429,39623485,39754629,39823845,39849942,39915550,40106603,40225403,40462619,40680504,40697133,40840034,41070556,41347619,41423848,41512924,41694368,41787419,41858350,42225419,42290042,42478768,42557245,42575790,42603563,43009283,43182683,43244776,43321442,43492141,43524153,43732994,43733316,43877250,43902083,44056974,44228268,44302763,44791417,44823289,45325883,45414176,45481276,45608243,45765567,45920764,46110974,46264413,46506419,46601829,46638429,46802400,46822945,46906164,47004674,47086225,47182216,47285603,47363173,47534723,47548182,47787016,47788614,47898660,48310885,48442619,48650373,48988619,49070243,49105149,49178963,49291990,49837154,49863196,49922560,50071019,50230020,50529829,50799333,51068694,51090948,51091904,51306085,51705129,51711976,51749843,51840740,51843074,51879718,52118603,52652700,52903523,52981619,53079993,53163563,53210553,53308549,53437442,53552123,53578688,53629619,53642605,53732245,53760393,53938883,54399085,54650044,54986843,55043853,55083484,55240403,55467181,55543619,55594043,55619243,55669619,55876030,55971203,56162880,56187534,56296619,56305870,56441245,56496203,56503470,56794874,57039477,57087645,57336205,57383042,57478392,57535619,57609323,57774434,57781019,57854483,57969914,57973062,58029448,58175973,58560923,58875419,58947803,59150388,59171126,59667683,59715419,59860749,59907072,60270368,60276024,60380363,60498443,60502645,60663419,60710483,60728296,60893488,61132619,61202723,61435883,61553725,61567302,61656674,61979356,62131630,62208888,62245643,62406419,62681123,62749619,62931923,63183240,63362843,63611003,64033270,64059853,64119196,64371126,64441993,64478694,64483043,64549619,64663191,64937348,64947563,65035643,65244685,65277203,65278902,65283129,65430419,65679045,65811976,65825884,65866019,65872820,66147443,66791723,66983603,67005448,67047419,67051236,67089923,67194421,67217243,67372034,67372214,67395456,67534283,67567044,67596357,67681619,67729494,67804164,67810527,68308619,68319333,68412445,68495848,68499554,68505174,68511993,68803446,69015550,69031019,69201781,69235619,69398723,69649084,69703163,69984999,70057648,70181114,70366893,70506203,70546019,70601846,70605683,70685123,71081145,71174536,71295674,71374763,71640085,71686763,71763004,71821141,71958083,71977403,72101113,72185470,72304619,72362123,72496019,72603174,72616453,72819563,73035721,73175089,73347419,73441019,73484733,73571723,73683443,73864470,73869724,74022445,74038473,74058200,74059394,74144776,74243445,74457419,74557956,74579245,74766683,75091933,75145523,75217283,75381129,75413963,75804419,75819888,75839723,76103483,76155070,76417619,76591019,76625603,76642883,76760350,76807036,76839924,77057829,77361419,77404648,77614619,77768553,77899403,78033956,78165323,78293622,78314003,78363419,78396323,78479164,78658403,78739883,78788768,78814854,78896476,78934619,79009609,79047384,79144283,79193008,79238830,79481845,79607123,79702043,79812419,79822900,79868829,79938083,80071353,80146684,80153062,80203874,80358419,80382074,80562844,80589419,80630350,80746237,80844069,81046019,81226643,81421019,81495419,81643619,81687923,81981443,82094934,82156154,82199483,82209093,82587419,82639324,82687043,82818660,82861754,83011619,83217589,83315475,83412873,83566019,83675363,83729843,83775417,83811323,83973419,84134363,84419005,84530180,84531683,84597203,84694981,84708604,84792563,84986123,85114163,85297374,85342619,85608302,85695589,85926923,85939163,85968102,86121803,86290643,86306077,86355194,86410283,86432350,86540963,86549896,86622564,86682419,86938763,87008003,87080229,87168443,87372419,87391994,87461769,87481825,87506963,87540419,87573803,87585333,87651419,87736442,87739643,87816419,87829364,88226363,88339904,88347721,88479323,88595042,88614419,88637364,88825564,88826934,88861885,88869840,88928307,88937474,88951283,88971419,89092134,89151203,89220419,89338163,89495094,89769443,89797619,89955923,90055036,90093683,90121019,90256619,90346019,90548603,90583403,90640994,90659848,90712763,90810554,90952936,91007603,91057163,91114619,91139123,91149242,91212203,91386084,91419683,91476100,91536923,91705619,91831816,91855619,91929419,91966019,92059990,92112420,92209585,92375963,92470883,92491019,92537723,92765363,92767640,92791893,92971019,93049643,93079523,93191243,93311363,93339443,93490885,93525083,93587848,93597097,93619619,93756563,93796019,94040003,94088843,94119419,94134556,94153883,94171514,94249645,94278563,94441019,94484843,94495619,94540924,94541483,94592723,94732643,94794496,94813619,94846403,94901003,94947004,94959083,94966019,94984163,95003963,95041619,95061419,95065283,95086596,95121083,95159003,95172873,95174843,95180363,95187083,95188403,95207243,95252123,95270723,95277323,95294963,95295803,95296283,95334242,95378214,95417569,95787480,95992030,95994093,96163516,96246020,96489914,96756420,97139833,97368633,97540653,97915645,98253248,98291714,98436758,98971093,99382392,99424648,99561469,99749589,99757645,99944853,99978570,...,1273871776309637427603248028237451387009253635728300013656936949776602707179340754666432060717210178722805390238677048910558255462493306553013819592428492998745591201260889279893599255607287865991624364047021879370460216376486384436768079884045409119087228386669981679437566734517211858434485555057527831073306438815227189498306170634213541863266282497357683021637092738484564017027146076425701604453606695960666056897648852845672433361973792015241082992189003406501620048028952249124870378939428402821653204215883887657828491456996042871768036972247705116383721835826150005796855712476856377801087295926395514210746706014381446805307666287671817814615457726170950836731758229136281585854552046775676738116199657832802538374072960084390923416922447910920455821979471779511360163956880056469321238454747785011263660216930729300022049857122301214622522642210765641361583353995258219011543387140264728427581773843031095164073362264219725298184469913248914347928198741419797381219322165591206227851388658579037003803597484644732169005775476757420116504488106035322658561003448328968072803248201360377888546494425365630276679647037507619944910819130230721165606592367714985114378429291764865236163063736643640884517729889575165791958023808489165505266886297897673267458530524525129488697102365527481865994691033789306470451996928759742013945486141266623595761449108707393734479103382021829050318244493739801127123711148574786678837312750919592127208895114555112274124485160741172317615324503556405530335547331187944900791456268485251530546933772829702935338293475470683014478341675673380964108561434281156805344121616152875259413931229608018341797970161388204024914750803826915788056031192264228727227582608192498154780344412602595580333265092643062872858583065586286205117473664132328718813863078473894080247071899683819690980271034227908505770169790290111001167858075017020396521703143965302097996234959233759145938415455743586690937391762882558850142736198063669416014029003111450146755335671569726629727360037943377138066633968379360756508939184142808664331051502941537067303571585533872625593587338201611629229413614459062687602507260686513369640303387374192501086960870598910389581001019360737684060608609297537805963090550137329703592984484550575659255698299579389283060773334096419240455931703165430188260338995784385106455168173957692695348894412262345066702318090317396708458783799874589855313572610236166968745209822577996905476119006485962147264476912280506240301878331193566914390388959261379697218581058395046790084022782431034772377045279410105203681549164893739652926140307132051616769044903838571775318627066624310660390408273753942115534579487041944454018465647416288072375016044275710625884766378684627903945094749904543664749730208142663386072324771113030673367269308270357263152020336561841035837079654256615601736989504582105214488250409667199009974757030433678158198579637456178885207653805011164236172434951720364098596212593375751450855034876046858848013966145544251376240245814555948958493951481625027513920104839735464375924951666558882395613205999757420350607946245353074814289736561}
19525  46829986784520007066021649430155172595723149716987328979214079231709404: {1267955,1502039,1521546,1852595,2145770,2223114,2320619,2574924,2788643,3020795,3095571,3315170,3444951,3604355,3624954,3823372,3956267,3978204,4187555,4325226,4719242,5025066,5188611,5461960,5589899,5651810,5827211,5884563,6144705,6294947,6405959,6554352,6643703,6782172,7098155,7098364,7315125,7345091,7373646,7620663,7679195,7802800,7927139,7985570,8308139,8514071,8517786,8659731,8778150,9151370,9209783,9215034,9363360,9420155,9582684,9665159,9861434,9987584,9999755,10140520,10264379,10378043,10533780,10731827,10883171,10981644,11236032,11264642,11304186,11408085,11868770,11999706,12012616,12104267,12168624,12247259,12430154,12640536,12810602,13186859,13469795,13483011,13514193,13686707,13689702,13727819,13807370,13882823,14220603,14242524,14332439,14441546,15195351,15235706,15611123,15901271,16071482,16088325,16163754,16568844,16911244,17160880,17238599,17291810,17562842,17777879,17923863,17944043,18300860,18417674,18586379,18703943,18838370,18855767,19204322,19255132,19305990,19611170,19957691,20066529,20166539,20178172,20370995,20593056,20606666,20630780,20638551,20717939,20750172,20753954,20963891,21800087,21961032,21990711,22143299,22317179,22472411,22581146,22606044,22959260,23002563,23167188,23443084,23533404,23783786,23888725,24158920,24206042,24445194,24492002,24626570,24706161,24756936,25101832,25355991,25396970,25691331,25974314,26082395,26093147,26551970,26811746,26911367,26936810,26953571,27083639,27178785,27220355,27275723,27494051,27551112,27762794,27851553,28032663,28133452,28239561,28334279,28454906,28666470,28825960,28990704,29032851,29159927,29491955,29501099,29551884,29698563,30058955,30323354,30366842,30476364,30577568,30630071,30695546,30920267,30995001,31298874,31396924,31640392,31862364,31941563,32021751,32258780,32323355,32324172,32429205,32585608,32614542,32621291,32664426,32834147,33005843,33126026,33490120,33618525,33774554,33807899,33852119,34126750,34274483,34399764,34456552,34580060,34591152,34750202,34994474,35007011,35122076,35291591,35390346,35477354,35595441,35859760,36070746,36245867,36272195,36482572,36658809,36747803,36964371,37168922,37462204,37676385,37750547,37839179,37971671,38030234,38444810,38485946,38492003,38601111,38710536,38763621,38788026,38915046,39010682,39737404,40188144,40249484,40342230,40349879,40558071,40952100,41118491,41284439,41323355,41496072,41754722,41813639,41843579,41882795,41923466,42375525,42413507,42750023,43031712,43478931,43526634,43549353,43682240,43846739,43850780,43949723,44171810,44278691,44484347,44705416,44940194,44987891,45200560,45211662,45247979,45373724,45416451,45873676,46060563,46133772,46528394,46603336,46683081,46761527,46881352,47411786,48144659,48232706,48360170,48410676,48471371,48576923,48752500,49142520,49276151,49588026,50259354,50293593,50344072,50775767,50850630,50941283,51008459,51092723,51338195,51779810,51818691,51891155,51943292,52117960,52180922,52418688,52428753,52430234,52620936,52736572,52741521,52762874,52942643,53006172,53012522,53098460,53133256,53137259,53281802,53338499,53979146,54055970,54240672,54262844,54432777,54666645,54671511,54811706,55285335,55668539,55856042,55918811,56563671,56637081,56767720,56851595,57400955,57585479,58032204,58311088,58503000,58615139,58629767,58632705,58742632,58755842,58761363,58971024,58977770,59198553,59242634,59733770,59761634,59774913,59866103,59873325,59881211,59892506,59933867,61020756,61253834,61260051,61282307,61300442,61605834,61685884,61915463,62135772,62184572,62269386,62277719,62328995,62403200,62541552,62787525,63397576,63435063,63455114,63547571,63718152,63863685,63864880,64306679,64639970,64800925,64862039,64867164,64876679,64982163,65235866,65322347,65360642,65473532,65599491,65599974,65812331,65815875,65911991,66004874,66085461,66342402,66973360,67729067,67732444,67891643,67949306,68091592,68121264,68221914,68312555,68753954,68854355,68881146,68940172,69006626,69166461,69293882,69594299,69845303,70203600,70250843,70359246,70507011,70575914,70773324,70947404,71085914,71322273,71680524,71682921,71847990,72198563,72273587,72449219,72536810,73205171,73391804,73937985,74134106,74468714,74755731,74794794,74883840,74916712,75337960,75345030,75493322,75731159,75910370,76052636,76116860,76133354,76216226,76603041,76636422,76637856,76729379,77102099,77297416,77474195,77567964,77761110,77764611,77819577,78155507,78535523,78548186,78867184,78936899,78979050,79327367,79583819,79814332,79876096,79983914,80148995,80156163,80352839,80368032,81171685,81845963,81889367,81975066,82028474,82089736,82228514,82264970,82282355,82341025,82535843,82625226,82945184,83264954,83678522,83756810,83814045,84171683,84244320,84281301,84438434,84458805,84755205,84818282,85192311,85321571,85491242,85619810,85712651,85828168,85829591,85837322,85971592,86074563,86217588,86348123,86576186,86661651,86942531,86954871,86959593,86996567,87038536,87044172,87046199,87061355,87491447,87572060,88357979,88548266,88624859,88725582,88756689,88968170,89401648,89595242,89703755,89860608,90089392,90128476,90305992,90362807,90405552,90414036,90558779,90801251,90882803,91092444,91340232,91349324,91387091,91737928,92223959,92337155,92350953,92485011,92572750,92680970,92805011,92969034,93197445,93313332,93822524,93968474,93992867,94631834,94703546,94774860,95938154,96008795,96049905,96178794,96283082,96438794,96556689,96718041,96755810,96765386,96804232,97026743,97143842,97226474,97406022,97542445,97918353,97979644,98098955,98126003,98320307,98485960,98542154,98620595,98717964,98738826,98809230,98991260,99410608,99778625,99918539,...,1698495701746183236804330704316601849345671514304400018209249266368803609572454339555242747622946904963740520318236065214077673949991075404018426123237990664994121601681185706524799007476383821322165818729362505827280288501981845915690773178727212158782971182226642239250088979356282477912647406743370441431075251753636252664408227512284722484355043329810244028849456984646085356036194768567602139271475594614221409196865137127563244482631722686988110656252004542002160064038602998833160505252571203762204272287845183543771321942661390495690715962996940155178295781101533341062474283302475170401449727901860685614328941352508595740410221716895757086153943634894601115642344305515042114472736062367568984154932877110403384498763946779187897889229930547893941095972629039348480218609173408625761651272997046681684880289240972400029399809496401619496696856281020855148777805327010958682057849520352971236775698457374793552097816352292967064245959884331885797237598321893063174959096220788274970468518211438716005071463312859642892007700635676560155339317474713763544748004597771957430404330935147170518061992567154173702239529383343493259881092173640961554142123156953313485837905722353153648217418315524854512690306519433554389277365077985554007022515063863564356611374032700172651596136487369975821326254711719075293935995905012989351927314855022164794348598811609858312638804509362438733757659324986401502831614864766382238449750334559456169611860152740149698832646880988229756820432671408540707114063108250593201055275024647002040729245030439603913784391300627577352637788900897841285478081912374875740458828821537167012551908306144024455730626881850938699886334405102554384074708256352304969636776810923330873040459216803460773777686790190750497144777420781714940156631552176438291751817437965192106996095866245092921307028045637211341026893053720148001557144100022693862028937525287069463994979945645012194584553940991448921249855683843411800190314930751559221352038670815266862340447562092968839636480050591169517422178624505814342011918912190411552441402003922049423071428780711830167458116450935482172305884819278750250136676347582017826187071183165590001449281160798547186108001359147650245414144812396717074617454066849772938123979312734100879007597732772519044081031112128558987274575604220573584347118661045846808606890898610256927131859216349793422269757453756528944611711733166119807084763480314889291660279763437329207301492008647949529685969216374008320402504441591422552520518612348506262958108077860062386778697043241379696502727039213473604908732219858319537234853742842735489025393205118095700424836088832414213853877698338589487379439316055925938691287529888384096500021392367614167846355171579503871926792999872724886332973610856884514763099694817374231156359077693809684202693782082454714449439539008820802315986006109473619317667212889598679966342707244904210931439516608238513610205073348218981563246602293818798128283457834335267806713168062478464018621527392335168320327752741265277991935308833370018560139786313952501233268888745176527484274666343227134143928327137433085719648748}
19526  47013822316752650570825583814968112442910957594567875204638687377699552: {370633,663238,721093,837769,897046,1536313,1597606,1830838,1884613,2000569,2028728,2063926,2116453,2282319,2374486,2607238,2694793,2964152,3218655,3227206,3334671,3433232,3731269,3768838,3862386,3923446,4000726,4127428,4155238,4593268,4779215,4833272,4972755,5304272,5312038,5331973,5437431,5735058,5766968,5850646,5900233,5967306,6013669,6487839,6700088,6827450,6918148,7078863,7385206,7537599,7846084,8192940,8379193,8477715,8608246,8714533,8739136,8872955,9042896,9675046,9753500,9831528,9903238,10160884,10173258,10381513,10511039,10647546,11060469,11269366,11357048,11483833,11546308,11593669,11704200,11950486,11978355,12026086,12177238,12286712,12484480,12675650,12776679,12776912,13167225,13727055,13775269,13822551,13883593,14045040,14061238,14374026,14424133,14642192,14662006,14792151,14981376,15015770,15072248,15210780,15800670,15999608,16224832,16472466,16854048,16896963,16905766,16956279,17803155,17977348,17999559,18018924,18252936,18542038,18645231,18683653,18960804,18990032,19103269,19215903,19730533,19875046,20043193,20147269,20260468,20534553,20711055,20770213,21139055,21363786,21451100,21551672,21662319,21864838,21964103,22091792,22213669,22623493,22853559,22876075,22965238,23184886,23643013,23744569,23898484,24068915,24107223,24150073,24245631,24853266,25222715,25359673,25366866,25741320,25788475,25860613,25937715,26344263,26755372,26757769,27330838,27451290,27457408,27518068,27626511,27666896,27685343,27846373,28141753,28197046,28257555,28512407,28632613,28699075,28806483,28882698,28958985,29281376,29303855,29320948,29416755,29706169,30141392,30149483,30198650,30267258,30288073,30352486,30670084,30781846,30889584,30909999,30946170,31125258,31130931,31377290,31377872,31539973,31731493,31852726,32208886,32593592,32941548,32969353,33009248,33062038,33771238,33807988,33871719,33909066,34255108,34438890,34750782,34832038,34849993,34973206,35164626,35166815,35300106,35315653,35501413,35675679,36029926,36032450,36230051,36238380,36309063,36333769,36451606,36667791,36734816,36738003,36939855,37135404,37160293,37251769,37376884,37652748,37783126,38095455,38132566,38221960,38654272,38710468,38961471,39117239,39156133,39246155,39248086,39402512,39425593,39550490,39598084,39827955,40217619,40220806,40323475,40405215,40428838,40635152,40732010,40777919,40940293,41021183,41326668,41328646,41644191,41731832,41862650,42172069,42200178,42363526,42483152,42682359,42695668,42982726,42999705,43070690,43098896,43129993,43225075,43238940,43486056,43552568,43902595,44051063,44327826,44422486,44559238,44678713,44764246,44824700,45189769,45242038,45485031,45550263,45603215,45714546,45866352,46043319,46121536,46372153,46491599,46791013,46827755,46948311,47077606,47095386,47187128,47291269,47416246,47460588,47619238,47793546,48094328,48388170,48486258,48878412,48921813,48940069,48996639,49285828,49671755,49689039,50110966,50235180,50238373,50311855,50640313,50661831,51022202,51040453,51190125,51399803,51468148,51599646,51614048,51648838,51684828,51717368,51756169,51870090,51886728,52072393,52125303,52314838,52491711,52683114,52935311,52936069,53014153,53085519,53216031,53443366,53509606,53584192,53789640,54077428,54099769,54106119,54435286,54602800,54723858,54813475,55328096,55472879,55489366,55550533,55626169,55701733,55753383,55817926,55881770,55974659,56193306,56277238,56500700,56717155,57045351,57342095,57375616,57389446,57419833,57493669,57667215,57728919,57780886,57788293,57971908,58035512,58041526,58065804,58182039,58254170,58372569,58516023,58601690,58665253,59027593,59580143,59606106,59675269,60282216,60317113,60374226,60504838,60513345,60555268,60671173,60940625,61023433,61163833,61312394,61414084,61428150,61443769,61511696,61663606,61722553,61920406,62244108,62632083,62885199,62930090,63072838,63235273,63392038,63844069,64112773,64156486,64547568,64580233,64929115,65147450,65289951,65523360,65552123,65766073,65776170,65896393,65920715,65931238,66117368,66257715,66373075,66416570,67002646,67012472,67058124,67410291,67635239,67753669,67800840,67817493,67828555,68060586,68569846,68628613,68690569,68810514,69008786,69060793,69091588,69200658,69244933,69256246,69792591,69891584,69905004,69975013,70161248,70276153,70322028,70575493,70674896,70813669,70932838,70959650,71117679,71735926,71828519,71987269,72320896,72333733,72349059,72540255,72563269,72577036,72597766,72616014,72848569,72888860,72895348,73128750,73357573,73428290,73637833,73713780,73749433,74128966,74303113,74312038,74382039,74434006,74795269,75099647,75225143,75389031,75418228,75516108,75707099,76158719,76275945,76316326,76437238,76445833,76653769,77107355,77343167,77372473,77376272,77669715,77676169,77730715,77914938,78004000,78176569,78176940,78226442,78243238,78271383,78348484,78374713,78424069,78628032,78645351,78828218,78931404,79017743,79021366,79104858,79107493,79144311,79246970,79509258,79518783,79647690,79699884,79831100,79918393,79922703,80059333,80213206,80270687,80450806,80925238,80968719,81083955,81361008,81394266,81680068,81783923,81841915,82141112,82217559,82614073,82695238,82742053,82827013,82847696,83025848,83163973,83388736,83574838,83619769,83716700,83783353,83784063,83864713,84187273,84450838,84580084,84665555,84703703,84957536,84973513,85012069,85114490,85151580,85207126,85355833,85431433,85544293,85768069,85952569,86018566,86175215,86314943,86316169,86365366,86489552,86642884,86672569,86707813,86984282,87048306,87159433,87397573,87465988,87466632,87754500,87804166,87895993,88058533,88113948,88133763,88456536,88466655,88605526,88684255,88863951,88935493,89582834,89584933,89600655,89642451,89646578,89812453,89838759,90090373,90145093,90520069,90650569,90651766,90804793,90828352,90962552,91006393,91056073,91216486,91342559,91531134,91739755,91841528,91880751,91950663,91967269,92221948,92408751,92412553,92513893,92528826,92901253,93012838,93084133,93137593,93203658,93259813,93276858,93328069,93395173,93404079,93573769,93604800,93636553,93645890,93812328,93817993,94009348,94016569,94162693,94172450,94263493,94364432,94394569,94462393,94506169,94548793,94571206,94620613,94726346,94753669,94806373,94831753,94911673,94948933,95065795,95069446,95085769,95096364,95144773,95146075,95182671,95207269,95295433,95301769,95311813,95315593,95427371,95574032,95577228,95777423,95797320,96555943,96621770,96885238,96959955,97300746,97853799,97977238,98040963,98140486,98210298,98357926,98399961,98583980,99007311,99513603,99674308,99726392,99767915,99845120,...,2547743552619274855206496056474902774018507271456600027313873899553205414358681509332864121434420357445610780477354097821116510924986613106027639184856985997491182402521778559787198511214575731983248728094043758740920432752972768873536159768090818238174456773339963358875133469034423716868971110115055662146612877630454378996612341268427083726532564994715366043274185476969128034054292152851403208907213391921332113795297705691344866723947584030482165984378006813003240096057904498249740757878856805643306408431767775315656982913992085743536073944495410232767443671652300011593711424953712755602174591852791028421493412028762893610615332575343635629230915452341901673463516458272563171709104093551353476232399315665605076748145920168781846833844895821840911643958943559022720327913760112938642476909495570022527320433861458600044099714244602429245045284421531282723166707990516438023086774280529456855163547686062190328146724528439450596368939826497828695856397482839594762438644331182412455702777317158074007607194969289464338011550953514840233008976212070645317122006896657936145606496402720755777092988850731260553359294075015239889821638260461442331213184735429970228756858583529730472326127473287281769035459779150331583916047616978331010533772595795346534917061049050258977394204731054963731989382067578612940903993857519484027890972282533247191522898217414787468958206764043658100636488987479602254247422297149573357674625501839184254417790229110224548248970321482344635230649007112811060671094662375889801582912536970503061093867545659405870676586950941366028956683351346761928217122868562313610688243232305750518827862459216036683595940322776408049829501607653831576112062384528457454455165216384996309560688825205191160666530185286125745717166131172572410234947328264657437627726156947788160494143799367639381960542068455817011540339580580222002335716150034040793043406287930604195992469918467518291876830911487173381874783525765117700285472396127338832028058006222900293510671343139453259454720075886754276133267936758721513017878368285617328662103005883074134607143171067745251187174676403223258458827228918125375205014521373026739280606774748385002173921741197820779162002038721475368121217218595075611926181100274659407185968969101151318511396599158778566121546668192838480911863406330860376520677991568770212910336347915385390697788824524690133404636180634793416917567599749179710627145220472333937490419645155993810952238012971924294528953824561012480603756662387133828780777918522759394437162116790093580168045564862069544754090558820210407363098329787479305852280614264103233538089807677143550637254133248621320780816547507884231069158974083888908036931294832576144750032088551421251769532757369255807890189499809087329499460416285326772144649542226061346734538616540714526304040673123682071674159308513231203473979009164210428976500819334398019949514060867356316397159274912357770415307610022328472344869903440728197192425186751502901710069752093717696027932291088502752480491629111897916987902963250055027840209679470928751849903333117764791226411999514840701215892490706149628579473122}
19527  47198374381439854154564919099098706397324709167213509860505376321059654: {994857,1345569,1775137,2396409,2535910,2593633,2746257,3004078,3043092,3095889,3295669,3561729,3705190,3910857,4229113,4291540,4446228,4641238,4840809,5046097,5149848,5159285,5577286,5653257,5741585,5793579,5862577,5885169,6001089,6041590,6191142,6232857,6630340,6889902,7035529,7208710,7249908,7646744,7851649,7912534,7956408,7968057,8375110,8602587,8647685,8650452,8775969,8950959,9368437,9438484,9807605,9937417,10050132,10065473,10241175,10377222,10750873,10884289,10923920,11077809,11179798,11303620,11346929,11471953,11654422,11769126,12191875,12289410,12589894,12627593,12701105,12811918,12912369,13108704,13188217,13287406,13564344,13569893,13688113,13999657,14196310,14196728,14432885,14512569,14630250,14690182,14747292,14854857,15241326,15259887,15358390,15550937,15605600,15854278,15971140,15971319,16373429,16616278,16904049,16938337,17028142,17035572,17319462,17530757,17556300,17742329,17925729,18039129,18265857,18302740,18353609,18419566,18430068,18449509,18726720,18840310,18857713,19013475,19019033,19165368,19330318,19722868,19975168,19999510,20281040,20528758,20756086,21033017,21067560,21091857,21463654,21561039,21766342,21963288,21993009,22471685,22472064,22523655,22529284,22539073,22608372,22816170,23134373,23701005,23737540,23999412,24025232,24117929,24208534,24337248,24484837,24494518,24708699,24748393,24860308,25281072,25325585,25358649,25621204,26373718,26813875,26939590,26966022,27028386,27373414,27379404,27411497,27455638,27614740,27765646,27813057,28441206,28485048,28519393,28664878,28883092,29162929,29204153,29383973,29812569,29873105,30390702,30471412,30940177,31222246,31734089,31802542,32007937,32045679,32142964,32176650,32327508,32797257,33137688,33444215,33822488,34321760,34397585,34447857,34477198,34583620,34777329,35125684,35294057,35555758,35847726,35888086,35946409,36515353,36601720,36651185,36835348,37074689,37172758,37279899,37407886,37676740,37711534,38050299,38108497,38337605,38408644,38510264,38611980,39222340,39915382,40000193,40133058,40333078,40354033,40356344,40741990,40996257,41176935,41186112,41213332,41261560,41277102,41288737,41435878,41500344,41507908,41864273,41927782,42082537,42227909,42259985,42295569,42818885,42927497,43157033,43324047,43600174,43851253,43922064,43954249,43981422,44286598,44634358,44944822,45073169,45119717,45162292,45212088,45252697,45297975,45400887,45490549,45528729,45918520,46005126,46172769,46334376,46419255,46687887,46721105,46766353,46886168,46993913,47065935,47066808,47552233,47567572,47777450,47779089,48149617,48164633,48313329,48317840,48388085,48392657,48412084,48890388,48984004,49253140,49412322,49497605,49513872,49593057,50203664,50397209,50656857,50711982,50781073,50793940,50863599,50946529,51382662,51658335,51948628,52126173,52164790,52186294,52248057,52445317,52459809,52746939,52950159,53103940,53369585,53623492,53822734,53854433,53873620,53907142,54044889,54048675,54167278,54357570,54440710,54445193,54551446,54553589,54677409,54988102,55102224,55525588,55703106,55940377,56030875,56065326,56266904,56479122,56668558,56674689,56909812,57198849,57332940,57651920,57852697,57981408,58065702,58319854,58370849,58635913,58872129,58983910,59002198,59103768,59325735,59397126,60117910,60170273,60331209,60382309,60643257,60646708,60733684,60952728,61098015,61155136,61260142,61391092,61607285,61840534,61990002,61992969,62597748,62728793,62793848,62793975,63280784,63300267,63545289,63724728,63883126,64043502,64335185,64474089,64517560,64606035,64646710,64648344,64858410,65171216,65229084,65242582,65328852,65508673,65668294,66011686,66028409,66252052,66491739,66633729,66838857,66980240,67146369,67237050,67549108,67596785,67615798,67704238,67863057,68253500,68548966,68571819,68799528,68913104,69160120,69182304,69272437,69500404,69988948,70014022,70244152,70583182,70616409,70625875,70643079,70750849,70780692,70954708,71124369,71190882,71428857,71690319,71719520,71873473,72141492,72464885,72491734,72544390,72582255,72647617,72729387,72965144,73007329,73013489,73317618,73495606,73883857,73928742,74337844,74409929,74924408,75166449,75352770,75501094,75650993,75678358,75694085,75943342,76060468,76533303,76655137,76767605,76889620,76971892,76984006,77202222,77399469,77421072,77473257,77527242,77576052,77805135,77830092,78021364,78163573,78472257,79024671,79474808,79592233,80165049,80264409,80361337,80376288,80498968,80684460,80699758,80863177,81112553,81116142,81652929,81904200,82085787,82178153,82236982,82544449,82568878,82646710,82992144,83234049,83509444,83627278,83687158,83726889,83765590,83822655,83846932,84289959,84415857,84751050,84827014,85015673,85301009,85500046,85838449,86063424,86084169,86364485,86671329,86957862,87053268,87062289,87098706,87260593,87364480,87381255,87693478,87701560,87899446,87902535,88223593,88343620,88557382,88968694,89409159,89410832,89755109,89880388,89975782,90401120,90423324,90495958,90561339,90721295,90747448,90757257,90832902,91111075,91119185,91747352,91968591,91992113,92121126,92142225,92267544,92495409,92814709,92880609,92942729,93056788,93206672,93366162,93425953,93523054,93762704,94272785,94395135,94609257,94821817,94823572,95088057,95637577,96234729,96289318,96396097,96465412,96720340,96821352,96942742,97153846,97426817,97505000,97689649,97721175,97935605,98285040,98552302,98664255,98896857,99051313,99176052,99624855,99788875,...,3821615328928912282809744084712354161027760907184900040970810849329808121538022263999296182151630536168416170716031146731674766387479919659041458777285478996236773603782667839680797766821863597974873092141065638111380649129459153310304239652136227357261685160009945038312700203551635575303456665172583493219919316445681568494918511902640625589798847492073049064911278215453692051081438229277104813360820087881998170692946558537017300085921376045723248976567010219504860144086856747374611136818285208464959612647651662973485474370988128615304110916743115349151165507478450017390567137430569133403261887779186542632240118043144340415922998863015453443846373178512852510195274687408844757563656140327030214348598973498407615122218880253172770250767343732761367465938415338534080491870640169407963715364243355033790980650792187900066149571366903643867567926632296924084750061985774657034630161420794185282745321529093285492220086792659175894553409739746743043784596224259392143657966496773618683554165975737111011410792453934196507017326430272260349513464318105967975683010344986904218409744604081133665639483276096890830038941112522859834732457390692163496819777103144955343135287875294595708489191209930922653553189668725497375874071425467496515800658893693019802375591573575388466091307096582445597984073101367919411355990786279226041836458423799870787284347326122181203437310146065487150954733481219403381371133445724360036511938252758776381626685343665336822373455482223516952845973510669216591006641993563834702374368805455754591640801318489108806014880426412049043435025027020142892325684302843470416032364848458625778241793688824055025393910484164612074744252411480747364168093576792686181682747824577494464341033237807786740999795277929188618575749196758858615352420992396986156441589235421682240741215699051459072940813102683725517310509370870333003503574225051061189565109431895906293988704877701277437815246367230760072812175288647676550428208594191008248042087009334350440266007014709179889182080113830131414199901905138082269526817552428425992993154508824611201910714756601617876780762014604834887688240843377188062807521782059540108920910162122577503260882611796731168743003058082213052181825827892613417889271650411989110778953453651726977767094898738167849182320002289257721367795109496290564781016987353155319365504521873078086046683236787035200106954270952190125376351399623769565940717830708500906235629467733990716428357019457886441793430736841518720905634993580700743171166877784139091655743175185140370252068347293104317131135838230315611044647494681218958778420921396154850307134711515715325955881199872931981171224821261826346603738461125833362055396942248864217125048132827131877654299136053883711835284249713630994249190624427990158216974313339092020101807924811071789456061009685523107511238962769846805210968513746315643464751229001597029924271091301034474595738912368536655622961415033492708517304855161092295788637780127254352565104628140576544041898436632754128720737443667846875481854444875082541760314519206393127774854999676647186839617999272261051823838736059224442869209683}
19528  47383645751519906957221955155515637289025506938210346738354118966076326: {741266,1148671,1326476,1381447,1442186,1675538,1794092,1962127,2078047,2656567,2887471,3072626,3195212,3661676,3769226,3803865,4001138,4057456,4127852,4232906,4381327,4506117,4564638,4610071,4748972,5180671,5214476,5364425,5389586,5557785,5928304,6089887,6437310,6454412,6655807,6669342,6690901,6866464,6961857,7445071,7462538,7537676,7724772,7846892,8001452,8254856,8287925,8310476,8365929,8566471,9062385,9186536,9286713,9347167,9558430,9666544,9945510,10334853,10608544,10624076,10663946,10787671,10813065,10874862,11470116,11533936,11668087,11701292,11798105,11800466,11868801,11934612,12027338,12422137,12434671,12562665,12975678,13400176,13654900,13836296,14129525,14157726,14770412,14928607,15075198,15143671,15465727,15565833,15692168,16001047,16385880,16758386,16769697,16955430,16960087,17216492,17429066,17478272,17481633,17490367,17653689,17745910,18085792,18434115,18884841,19217877,19350092,19507000,19663056,19806476,19931109,19963925,20321768,20346516,20763026,21022078,21294465,21295092,21770767,21945375,22035273,22120938,22284487,22538732,22714096,22861989,22878425,22967666,23000671,23037585,23092616,23187338,23306527,23408400,23781417,23900972,23956710,24052172,24354476,24573424,24653585,24924417,24968960,25351300,25529671,25542213,25553358,25553824,25979193,26030071,26229727,26334450,26727607,26826967,27454110,27550538,27629349,27645102,27767186,28090080,28122476,28161605,28210447,28260465,28748052,28799047,28848266,28994671,28995477,29284384,29287567,29324012,29584302,29594677,29671925,29962752,29999265,30031540,30144496,30421560,30645847,30793137,31075385,31134129,31601340,31999216,32026505,32195481,32449664,32649513,32656807,32944932,33036247,33508927,33696481,33708096,33793926,33811532,33912558,33979807,34224255,34261471,34518425,35311801,35606310,35660071,35954696,35999118,36037848,36103865,36312801,36505872,36741777,36767287,37084076,37225567,37290462,37367306,37921608,37980064,38089265,38206538,38227447,38431806,38679967,39461066,39560577,39579607,39750092,40086386,40088873,40178705,40205071,40294538,40409385,40449033,40520936,40542579,41025397,41060121,41069106,41183457,41269087,41422110,41540426,41648469,42278110,42661809,42727572,42817333,42902200,42997317,43103344,43229525,43279471,43324638,43729676,43883767,43907105,43928206,44183584,44427338,44826247,45246986,45421471,45586053,45707118,45752150,45930476,46013167,46044185,46369772,46833369,47095925,47286026,47352367,47489138,47703813,47796968,47932471,48010805,48137830,48180007,48214446,48264975,48300146,48344671,48491262,49027925,49233541,49570471,49706532,50136967,50445430,50719346,50733732,51482640,51516665,51576950,51715797,51721226,51815287,51875430,51884885,52367671,52688526,53333637,53510744,53515538,53539471,53771589,53832129,54221189,54661676,54695071,54902580,54914816,54944617,55036136,55253022,55333792,55370686,55607887,55683487,55692746,55759137,56111829,56283506,56394092,56435527,56452865,56515110,56567301,56808847,57024814,57265226,57398150,57612966,57765396,57917970,58562752,58607710,58641896,58793671,58833510,59299687,59371687,59412338,59459465,59515471,59730607,59873073,60199587,60282784,60298966,60397300,60499617,60515105,60534516,60576146,60704972,60726007,61112985,61230005,61340168,61463633,61498207,61563692,61566425,61779168,61819998,61892340,61915653,61936457,62123527,62153817,62250516,62261862,62559913,62754580,62755744,62891673,63079946,63462986,63492425,63559927,63705452,63844501,64417772,64699471,64832167,64935785,65030671,65187184,65400261,65558857,65883096,65938706,65972133,66018496,66124076,66379925,66429897,66466567,66531007,66788047,66951537,67029365,67107727,67342025,67417233,67542476,67615976,67743438,67818132,68344793,68510216,68877780,69007689,69049567,69172471,69406985,69501564,69540457,69664076,69699986,69946412,70329252,70333630,70436597,70565167,70600212,70631306,71002826,71137265,71351358,71394247,71570071,71666175,72035767,72059852,72064900,72324487,72460102,72476760,72618126,72667538,72725671,72903212,73010071,73335582,73405207,73469632,73476006,73879710,74118483,74270808,74320586,74503538,74753768,75220471,75305496,75566252,75808385,75861127,75917105,76067973,76190910,76265132,76443920,76647367,76738865,76905847,76957327,77073993,77308544,77315671,77417407,77420936,77922942,78234478,78247185,78279441,78312266,78418927,78492310,78496172,78566671,78805024,78851186,79100980,79196168,79404017,79655910,79677847,80008471,80242471,80278933,80435238,80441612,80646950,80734101,80810430,80857676,80860713,81250917,81270304,81385471,81464020,81536355,81555838,81661065,81827169,81880586,82042366,82137007,82482153,82612207,82653336,82657292,82815065,83120671,83246167,83288382,83329471,83412487,83463664,83554659,83725300,83770577,84097989,84344138,84400356,84436385,84623167,84718683,84727052,84818647,84966304,85002837,85127671,85316875,85364718,85391336,85965452,85999410,86063671,86141380,86172967,86197792,86259986,86450150,86477880,86875505,86885047,86954671,86972112,87098553,87105136,87162713,87230287,87467671,87479781,87486185,87701527,87805190,88102126,88381927,88475865,88503297,88507927,88655652,88693385,88844972,89000407,89095689,89118476,89357426,89416207,89528492,89649400,90013447,90150967,90176865,90286687,90379538,90393967,90420607,90473671,90484076,90605071,90900761,90970062,91100526,91186327,91206430,91405561,91429092,91591471,91732704,91887247,91890213,92041471,92086638,92243072,92255671,92289001,92360071,92503207,92623087,92744306,92760801,92922305,92983198,92985003,93389671,93582026,93655510,93740527,93896622,94136671,94155212,94162807,94190772,94301407,94374256,94442671,94476367,94520287,94582538,94703671,94750471,94795471,94812967,94832492,94921176,94942567,94959977,95047327,95060071,95075585,95078647,95102407,95185927,95228767,95238476,95243887,95247487,95261167,95276647,95304367,95328127,95330071,95587092,95690501,95824689,96065253,96112025,96188656,96214865,96776340,96970065,96972516,97287615,97526705,97756824,97843626,97863873,97880138,97993278,98502441,98571656,99017529,99343510,99378078,...,5095487105238549710412992112949805548037014542913200054627747799106410828717363018665728242868840714891221560954708195642233021849973226212055278369713971994982364805043557119574397022429151463966497456188087517481840865505945537747072319536181636476348913546679926717750266938068847433737942220230111324293225755260908757993224682536854167453065129989430732086548370953938256068108584305702806417814426783842664227590595411382689733447895168060964331968756013626006480192115808996499481515757713611286612816863535550631313965827984171487072147888990820465534887343304600023187422849907425511204349183705582056842986824057525787221230665150687271258461830904683803346927032916545126343418208187102706952464798631331210153496291840337563693667689791643681823287917887118045440655827520225877284953818991140045054640867722917200088199428489204858490090568843062565446333415981032876046173548561058913710327095372124380656293449056878901192737879652995657391712794965679189524877288662364824911405554634316148015214389938578928676023101907029680466017952424141290634244013793315872291212992805441511554185977701462521106718588150030479779643276520922884662426369470859940457513717167059460944652254946574563538070919558300663167832095233956662021067545191590693069834122098100517954788409462109927463978764135157225881807987715038968055781944565066494383045796434829574937916413528087316201272977974959204508494844594299146715349251003678368508835580458220449096497940642964689270461298014225622121342189324751779603165825073941006122187735091318811741353173901882732057913366702693523856434245737124627221376486464611501037655724918432073367191880645552816099659003215307663152224124769056914908910330432769992619121377650410382321333060370572251491434332262345144820469894656529314875255452313895576320988287598735278763921084136911634023080679161160444004671432300068081586086812575861208391984939836935036583753661822974346763749567051530235400570944792254677664056116012445800587021342686278906518909440151773508552266535873517443026035756736571234657324206011766148269214286342135490502374349352806446516917654457836250750410029042746053478561213549496770004347843482395641558324004077442950736242434437190151223852362200549318814371937938202302637022793198317557132243093336385676961823726812661720753041355983137540425820672695830770781395577649049380266809272361269586833835135199498359421254290440944667874980839290311987621904476025943848589057907649122024961207513324774267657561555837045518788874324233580187160336091129724139089508181117640420814726196659574958611704561228528206467076179615354287101274508266497242641561633095015768462138317948167777816073862589665152289500064177102842503539065514738511615780378999618174658998920832570653544289299084452122693469077233081429052608081346247364143348318617026462406947958018328420857953001638668796039899028121734712632794318549824715540830615220044656944689739806881456394384850373503005803420139504187435392055864582177005504960983258223795833975805926500110055680419358941857503699806666235529582452823999029681402431784981412299257158946244}
19529  47569639210585756852771812627058100909264279940448556405707693793340950: {1111899,1658095,1989714,2163279,2242615,2360347,2513307,2691138,3550274,3646687,3994015,4577095,4608939,4792818,5071820,5159815,5187266,5492514,5653839,5936215,6001707,6008156,6086184,6191778,6216991,6349359,6518095,6591338,6846957,7123458,7222999,7410380,7620199,7821714,8038219,8068015,8084379,8458226,8583080,8784127,8892456,9282476,9422095,9605119,9655965,9681618,9808615,10001815,10004013,10066507,10092194,10299696,10306507,10318570,10388095,11154572,11193807,11306514,11483170,11587158,11725154,11770338,11895559,12002178,12083180,12106759,12382284,12465714,12991159,13055647,13260680,13280095,13410007,13571287,13730647,13779804,14071058,14231839,14337645,14417420,14499816,14626615,14918265,14923519,15166351,15188107,15293488,15703298,15825068,15912816,15936114,15995919,16312293,16375111,16568119,16750220,17068625,17205174,17295370,17300904,17380459,17502631,17551938,17700699,17781547,17901918,18041007,18463015,18736874,18876968,19020991,19248907,19463517,19593199,19615210,19874834,20100264,20130946,20206039,20482350,20722207,20754444,20883799,20968207,21236589,21501746,21520615,21572287,21768578,21847840,22155618,22359596,22477039,22607240,22612797,22693858,22943906,23308844,23465287,23538252,24187615,24262879,24383750,24578820,24729847,24758095,25137579,25179788,25255186,25402210,25433145,25623836,25824738,26098519,26143599,26217408,26376434,26389579,26574812,26618865,27089227,27128688,27139786,27376226,27414319,27936667,27999314,28173415,28392620,28393456,28503007,28865770,29025138,29207167,29260500,29380364,29386999,29494584,29630491,29709714,29876215,29890039,30065215,30443095,30482652,30519774,30636379,30716780,31101874,31144539,31211200,31460359,31533117,31689125,31708556,31942280,31942638,32628007,32690407,32746858,32840911,33181407,33232556,33263551,33808098,33876674,34056284,34071144,34451499,34513999,34638924,34781007,35061514,35112600,35153095,35298859,35455819,35484658,35851458,35935065,35953759,36078258,36531714,36605480,36655015,36707218,36839132,36860136,36899018,37078507,37453440,37462807,37539425,37680620,37715426,37758319,38026950,38038066,38330037,38330736,38660636,39445736,39446299,39501675,39746599,39950336,39999020,40004311,40562080,41057516,41126959,41181165,41325807,41467653,41512172,41650779,41822347,42066034,42135120,42183714,42264415,42289291,42422239,42758827,42927308,43122078,43161487,43272399,43532684,43926576,43986018,44287807,44376453,44493511,44943370,44944128,45047310,45058568,45078146,45216744,45632340,45778399,45965707,46268746,46355095,46736719,46821901,46998751,47402010,47475080,47998824,48050464,48156619,48234331,48235858,48397639,48417068,48586927,48588991,48674496,48969674,48989036,49286299,49417398,49475959,49496786,49687615,49720616,50427919,50562144,50651170,50690889,50717298,50868837,51018967,51242408,51311659,52747436,53196187,53349487,53409465,53627750,53672647,53859979,53879180,53932044,53998677,54056772,54559207,54580639,54662095,54746828,54758808,54822994,54911276,55229480,55531292,55626114,55680007,55935693,56050959,56522887,56606059,56882412,56921839,56957791,56970096,57038786,57309807,57329756,57413095,57647709,57766184,57962215,58325858,58408306,58767946,58830319,59163979,59191599,59461567,59625138,59746210,59946439,60129579,60441807,60716959,60781404,60942824,61294951,61603659,61880354,62133165,62310639,62444492,63385639,63417165,63468178,63531199,63605084,63894079,64015874,64091358,64285928,64319947,64344319,64353300,64655016,64875547,64986957,65409547,65594514,65707147,65892309,66275376,66641007,66888430,67644976,67743319,67870479,68327095,68560677,68628225,68643520,68795170,68895714,68954396,69167240,69232687,69249307,69296647,69554658,70108651,70251368,70492615,70588114,70929039,71103967,71111516,71233707,71350759,71695452,71776172,71892818,72043339,72206745,72321669,72450219,72464167,72736893,73030706,73124599,73203440,73302370,73670696,74149378,74345516,74559798,74717419,74815772,75070207,75353480,75423068,75496625,75668145,75881215,76079019,76100598,76216994,76675210,76700059,76817288,76926007,76954615,77020528,77118007,77223960,77365425,77581839,77813145,78306199,78443225,78444680,79032789,79631815,79790491,79830764,80000386,80266116,80273307,80281567,80522215,80666156,80708066,80712688,81023599,81483980,81992514,82353870,82372224,82426664,82523120,82554204,82577474,82655095,82871756,82879533,83000688,83015816,83056029,83501407,83539119,83728546,83855564,84165074,84425259,84428095,84455818,84519970,84591138,84772665,85024447,85537221,85637770,85854994,85897839,86062279,86097225,86250199,86314066,86419449,86604751,86648094,86876955,87080095,87200348,87433015,87489079,87702506,87844128,87908498,87911565,87939007,87962844,88250265,88573196,89118507,89162779,89268716,89405719,89889644,90069259,90074815,90081125,90146338,90239434,90324584,90381451,90424176,90448449,90491467,90505394,90595950,90801774,90864219,90981098,91057458,91129015,91448479,91837040,91846171,91866487,92001607,92010252,92132491,92242987,92345538,92668752,92729997,92838510,93375774,93392793,93442210,93532706,93629719,93772336,93813739,93987826,94131870,94133407,94133616,94181791,94457815,94619919,94635499,94938139,95104466,95135144,95194479,95331415,95554900,95558178,95729839,96299234,96329266,96626658,96635680,96776170,96785314,96824168,97729867,97780776,97864987,97968008,98120215,98506280,98824644,98876225,98908059,98995210,99027744,99186114,99247879,99627439,...,7643230657857824565619488169424708322055521814369800081941621698659616243076044527998592364303261072336832341432062293463349532774959839318082917554570957992473547207565335679361595533643727195949746184282131276222761298258918306620608479304272454714523370320019890076625400407103271150606913330345166986439838632891363136989837023805281251179597694984146098129822556430907384102162876458554209626721640175763996341385893117074034600171842752091446497953134020439009720288173713494749222273636570416929919225295303325946970948741976257230608221833486230698302331014956900034781134274861138266806523775558373085264480236086288680831845997726030906887692746357025705020390549374817689515127312280654060428697197946996815230244437760506345540501534687465522734931876830677068160983741280338815927430728486710067581961301584375800132299142733807287735135853264593848169500123971549314069260322841588370565490643058186570984440173585318351789106819479493486087569192448518784287315932993547237367108331951474222022821584907868393014034652860544520699026928636211935951366020689973808436819489208162267331278966552193781660077882225045719669464914781384326993639554206289910686270575750589191416978382419861845307106379337450994751748142850934993031601317787386039604751183147150776932182614193164891195968146202735838822711981572558452083672916847599741574568694652244362406874620292130974301909466962438806762742266891448720073023876505517552763253370687330673644746910964447033905691947021338433182013283987127669404748737610911509183281602636978217612029760852824098086870050054040285784651368605686940832064729696917251556483587377648110050787820968329224149488504822961494728336187153585372363365495649154988928682066475615573481999590555858377237151498393517717230704841984793972312883178470843364481482431398102918145881626205367451034621018741740666007007148450102122379130218863791812587977409755402554875630492734461520145624350577295353100856417188382016496084174018668700880532014029418359778364160227660262828399803810276164539053635104856851985986309017649222403821429513203235753561524029209669775376481686754376125615043564119080217841820324245155006521765223593462337486006116164426104363651655785226835778543300823978221557906907303453955534189797476335698364640004578515442735590218992581129562033974706310638731009043746156172093366473574070400213908541904380250752702799247539131881435661417001812471258935467981432856714038915772883586861473683037441811269987161401486342333755568278183311486350370280740504136694586208634262271676460631222089294989362437917556841842792309700614269423031430651911762399745863962342449642523652693207476922251666724110793884497728434250096265654263755308598272107767423670568499427261988498381248855980316433948626678184040203615849622143578912122019371046215022477925539693610421937027492631286929502458003194059848542182602068949191477824737073311245922830066985417034609710322184591577275560254508705130209256281153088083796873265508257441474887335693750963708889750165083520629038412786255549709999353294373679235998544522103647677472118448885738419366}
19530  47756357552925657691521504530782615861805735932336644952221229749797357: {448661,565529,799049,915701,1032281,1148789,1187609,1304021,1420361,1482532,1614101,1730249,1885001,1962329,2000981,2078261,2116889,2194121,2297342,2464181,2652952,2695349,2762894,2884372,2887769,2926229,2984571,3041561,3351076,3588184,3808601,3924254,4036707,4076309,4156094,4419929,4648649,4953161,5067221,5219189,5313134,5325411,5408969,5636441,5774942,5977109,6090521,6145252,6339775,6390424,6656501,6694169,7032821,7145561,7189227,7323352,7445849,7510195,7538452,7607730,7780899,7820489,8002276,8114912,8238771,8255704,8455541,8465812,8567369,8716361,8762654,8790809,9012234,9125429,9129276,9220142,9262975,9287667,9496469,9497944,9887007,9903689,10361342,10428952,10567961,10685187,10728850,10779172,10825589,11115570,11596121,11603095,11669321,11705909,11732571,11856608,11925269,12179774,12472409,12687339,12874620,12908824,13017749,13311614,13338684,13381802,13669781,13732928,13778201,13923714,13943215,13958741,14211161,14499161,14522427,14750741,14890142,14925076,15075352,15103975,15138291,15181109,15449544,15477855,15503129,15681749,15693784,16002904,16038389,16509712,16517347,16575850,16620952,16731858,16959771,17132942,17224755,17380737,17421641,17587731,17598101,17655507,18003267,18021775,18124770,18126281,18372149,18373072,18573426,18687689,18694334,18698571,18757721,19116860,19333088,19386569,19734809,19781335,19891020,20047541,20116949,20221001,20324981,20567321,20669706,20774729,20937775,21106587,21154229,21217088,21248152,21327892,21360821,21575342,21626130,21749724,22013129,22286921,22389461,22491929,22940232,23067872,23309081,23336174,23343029,23402584,23554947,23596210,23600932,23648201,23715929,23737602,23817461,23869224,23904171,24020309,24054676,24728009,24844274,24869342,25063769,25125330,25365269,25532489,25807761,25933001,25943055,25951356,26265881,26327907,26564789,26730569,26763701,26800352,26829941,26852877,26863049,27309800,27672592,27753941,27852569,27918281,27949495,28016789,28105311,28213589,28259050,28315452,28704329,28802261,28834889,28997909,29030489,29128181,29136055,29422815,29540824,29777621,29812251,29857214,30150396,30196419,30198041,30287342,30681461,30723525,30931454,30970649,31066901,31131666,31384336,31474735,31642901,31929929,32002094,32029795,32252619,32279861,32652867,32660501,32771760,32882009,33039989,33071561,33218515,33233427,33516772,33539394,33607061,33910860,33920174,33983669,34015001,34040787,34265369,34296629,34415859,34432984,34515019,34733429,34858132,34956544,34963266,34980734,35230709,35307378,35490775,35491820,35664149,35880281,36034421,36171584,36311369,36403541,36575625,36587669,36725455,36771509,36802121,36868230,37046729,37168841,37229849,37260341,37412681,37769682,37807829,37882779,38103315,38171381,38322521,38395975,38435754,38684441,38700184,38714549,38737107,39014000,39225161,39326112,39426247,39564651,39612952,39635695,39862218,39927850,40209749,40239449,40328501,40643536,40683989,40693032,40709679,41008841,41064339,41450261,41526052,41540695,41655641,41998971,42044156,42240281,42570355,42588930,42590184,42618581,43197941,43284569,43298655,43313429,43505539,43537707,43541534,43890750,43917641,44070546,44146889,44241876,44564571,44568974,44689301,44805211,44837107,44859989,45077464,45257141,45426869,45428192,45539861,45709109,45723978,45756850,45779661,45935332,46001342,46048915,46075170,46185232,46374676,46383221,46613054,46652811,46690649,46816800,46857929,47100775,47358041,47377759,47562834,47634761,47801944,47913420,47913957,47938229,48104344,48185801,48325795,48596981,48708952,49006361,49088021,49120287,49146848,49169609,49307170,49603529,49738709,49848834,49937920,49998775,50089241,50250569,50545411,50652629,50702600,50706101,50712147,50815011,51052889,51059342,51084426,51106716,51107648,51185909,51321895,51821621,51848009,51890215,51958386,52006169,52060142,52137749,52459454,52592271,52635929,52668900,53001161,53226987,53324971,53455214,53546069,53571929,53649461,53653934,53659135,53726921,53777187,54113141,54117387,54164501,54415855,54701849,54727349,54797571,54908220,55060827,55101076,55258698,55261001,55290204,55348527,55534372,55564361,55614809,55640021,55690421,55715609,56180160,56244952,56250187,56323210,56420894,56467529,56520930,56573139,56592149,56815961,56840789,56989589,57040425,57057099,57261641,57434261,57496104,57557321,57598094,57631061,57696532,57876341,57989342,57990954,58218389,58568768,58575134,58648024,58897781,58970201,59042549,59168604,59189354,59343850,59403209,59690441,59738201,59809781,59925504,59998530,60063080,60288992,60332501,60379829,60521335,60521621,60733769,60827849,60843120,61085909,61226261,61236295,61291694,61296329,61469947,61506101,61586274,61993049,62150770,62154581,62268258,62338709,62773961,63024629,63099051,63160949,63202680,63275571,63590729,63703349,63860681,63905561,63998432,64053010,64079587,64390962,64397129,64461859,64508309,64574921,64683117,64730069,64840649,64862741,64899328,64973081,65039189,65061209,65171189,65299026,65313614,65368649,65456201,65889864,65892041,65934295,65979027,66072494,66108761,66475349,66668489,66818261,67017854,67074101,67180361,67215127,67348975,67392962,67415055,67416192,67570965,67587852,67617219,67623064,67771721,67813721,67825116,67959614,68127701,68273609,68433535,68448510,68502101,68522942,68584949,68639095,69036850,69079349,69120341,69202229,69223099,69324821,69403119,69414115,69487829,69731381,70034201,70215029,70295189,70534901,70594649,70623602,70634441,70694069,70832921,70872521,71010869,71103015,71212620,71306009,71320142,71462681,71662195,71716181,71774489,71909392,71998236,72045641,72075696,72123331,72207730,72334421,72353609,72353787,72391961,72525941,72583241,72625602,72638839,72754709,73011744,73058227,73133429,73197631,73415369,73454511,73483554,73534574,73583669,73658261,73769909,74126097,74168152,74245179,74415449,74451134,74580924,74598089,74734612,74761781,74852441,75231029,75248969,75499289,75623861,75712601,75843216,75960128,75976755,76075947,76135769,76178530,76188341,76413076,76454894,76675541,76727369,76863612,76985429,77173529,77326709,77343689,77359934,77428469,77698421,78055615,78199061,78397301,78430229,78446681,78479561,78741449,78839129,78922132,79034011,79121154,79159214,79162649,79226969,79467029,79500184,79506355,79641929,79689461,79800089,79941749,79973141,80020169,80035829,80114009,80172772,80177746,80269769,80357410,80393801,80410142,80440181,80441625,80589076,80716949,80771119,80818770,80823881,80898066,81041872,81085158,81232661,81501941,81576281,81680021,81724361,81768629,81842249,82018121,82050794,82120242,82138212,82149269,82163801,82234491,82366914,82380821,82538174,82638869,82667381,82766921,82795289,82844220,83080852,83091221,83147189,83243251,83296938,83355929,83425109,83439171,83645141,83713481,83754389,83808821,83890229,84172889,84212981,84556220,84570569,84721147,84831689,84883529,84999701,85025429,85102421,85153589,85191881,85323618,85382261,85455144,85457909,85558179,85570841,85634666,85722007,85804400,85893449,85967129,85994634,86016089,86192995,86206688,86459050,86510549,86558942,86649276,86723381,86758601,86805449,86979989,87049301,87171667,87209909,87244121,87414101,87459352,87488787,87492809,87582281,87612459,87615701,87660149,87767534,87781721,87814210,87814709,87856412,87858581,87924149,87945941,88021961,88140629,88151919,88300889,88364489,88367168,88406729,88522229,88709141,88811861,88854676,88889395,88923929,89045081,89437707,89440601,89614409,89619315,89652494,89720215,89813909,89842121,89917001,90028361,90037589,90138569,90165941,90175049,90328661,90444569,90488789,90493972,90497609,90567881,90620249,90628949,90680981,90698261,90758489,90842942,90852341,90910099,91053749,91086869,91103381,91160921,91172106,91185461,91258649,91307081,91414236,91504300,91607129,91653449,91699481,91775561,91860952,91999001,92013641,92026334,92064629,92088370,92278709,92376149,92444789,92539541,92559641,92737301,92739544,92782409,92820531,92839829,92931895,92934089,92965109,93002069,93038741,93117209,93129161,93170741,93182549,93258521,93361481,93406409,93519715,93607541,93618101,93625939,93654809,93666738,93822581,93841111,93847241,93861941,93934361,93953369,94060181,94091849,94105301,94140821,94154009,94171481,94191850,94206041,94218869,94278835,94286069,94306649,94437461,94460309,94464089,94497749,94541621,94548821,94572052,94646261,94656329,94663001,94676249,94704734,94712021,94724789,94768469,94771529,94813529,94833941,94868021,94916981,94978276,94990409,95004761,95021141,95034869,95046089,95065781,95080649,95097161,95117081,95122901,95156309,95172041,95182169,95199989,95202267,95215349,95219801,95235509,95243669,95247641,95248949,95262809,95264021,95280149,95295689,95328329,95335061,95336729,95340341,95347829,95350601,95353109,95354549,95354741,95354969,95407626,95593936,95864942,96021610,96023811,96137037,96275660,96360014,96428892,96529950,96600292,96689342,96982524,97169779,98055850,98391771,98467082,99001591,99140942,99413064,99592171,99788455,...,11464845986786736848429232254137062483083282721554700122912432547989424364614066791997888546454891608505248512148093440195024299162439758977124376331856436988710320811348003519042393300465590793924619276423196914334141947388377459930912718956408682071785055480029835114938100610654906725910369995517750479659757949337044705484755535707921876769396542476219147194733834646361076153244314687831314440082460263645994512078839675611051900257764128137169746929701030658514580432260570242123833410454855625394878837942954988920456423112964385845912332750229346047453496522435350052171701412291707400209785663337559627896720354129433021247768996589046360331539119535538557530585824062226534272690968420981090643045796920495222845366656640759518310752302031198284102397815246015602241475611920508223891146092730065101372941952376563700198448714100710931602703779896890772254250185957323971103890484262382555848235964587279856476660260377977527683660229219240229131353788672778176430973899490320856050662497927211333034232377361802589521051979290816781048540392954317903927049031034960712655229233812243400996918449828290672490116823337568579504197372172076490490459331309434866029405863625883787125467573629792767960659569006176492127622214276402489547401976681079059407126774720726165398273921289747336793952219304103758234067972358837678125509375271399612361853041978366543610311930438196461452864200443658210144113400337173080109535814758276329144880056030996010467120366446670550858537920532007649773019925980691504107123106416367263774922403955467326418044641279236147130305075081060428676977052908530411248097094545375877334725381066472165076181731452493836224232757234442242092504280730378058545048243473732483393023099713423360222999385833787565855727247590276575846057262977190958469324767706265046722223647097154377218822439308051176551931528112610999010510722675153183568695328295687718881966114633103832313445739101692280218436525865943029651284625782573024744126261028003051320798021044127539667546240341490394242599705715414246808580452657285277978979463526473833605732144269804853630342286043814504663064722530131564188422565346178620326762730486367732509782647835390193506229009174246639156545477483677840253667814951235967332336860360955180933301284696214503547546960006867773164103385328488871694343050962059465958096513565619234258140049710361105600320862812856570376129054198871308697822153492125502718706888403201972149285071058373659325380292210524556162716904980742102229513500633352417274967229525555421110756205041879312951393407514690946833133942484043656876335262764188464550921404134547145977867643599618795943513674463785479039811215383377500086166190826746592651375144398481395632962897408161651135505852749140892982747571873283970474650922940017276060305423774433215368368183029056569322533716888309540415632905541238946930394253687004791089772813273903103423787216737105609966868884245100478125551914565483276887365913340381763057695313884421729632125695309898262386162212331003540626445563334625247625280943557619179383324564999029941560518853997816783155471516208177673328607629049}
19531  47943803583563970503961161557417805185535596164409329244321819428515769: {19531,1853165,2223798,2321333,2789501,3139661,3316190,3446013,3605465,3979428,4075709,4144341,4188845,4309721,4326558,4485230,4720694,5026614,5382276,5591621,5886381,6234141,6407933,6645749,7100548,7223741,7293374,7347353,7681565,7929581,7969701,7988030,8310701,8516693,8662413,9125333,9154190,9212621,9217878,9423065,9585636,10002845,10143640,10267541,10319630,10374532,10381241,10582265,10735133,10985028,11295221,11307678,11411595,11872430,11896781,12003414,12016312,12172368,12251033,12383556,12433982,12698718,13036190,13143981,13182676,13190933,13473965,13518351,13693914,13732061,13830213,13887101,14002541,14233301,14246916,14445998,14543333,14820760,15167909,15240398,15429401,15542013,15615941,15643428,15906173,16076438,16093275,16136030,16168758,16569821,16673355,16894229,16916452,17166160,17504429,17568254,17784912,17949581,18269661,18564952,18592133,18656345,18709709,18844190,19210238,19311930,19363236,19617230,19967421,20003630,20008026,20072703,20133014,20184388,20477261,20599392,20613014,20637140,20724341,20776190,20885571,21999461,22150133,22309144,22324061,22335213,22387614,22479353,22613028,22966340,23174316,23450308,23540676,23791118,23896075,24004356,24126281,24166360,24213518,24489881,24764568,24863775,24931428,25097787,25494521,25699413,25848221,25936181,25982318,26111294,26225909,26521360,26560190,26636633,26659865,26820014,27142574,27187155,27284141,27461294,27559608,27860139,28041501,28142116,28463678,28675290,28834840,28999632,29168933,29253230,29501165,29633549,29836530,29847038,29958581,30068345,30128861,30332702,30376214,30586976,30639533,31004559,31406596,31650136,31825632,31872228,31951421,31991838,32014541,32018633,32363013,32439195,32624586,32750222,32844293,33016061,33136238,33500440,33818333,33862661,34137250,34285061,34391129,34410348,34517561,34590740,34601808,34661333,34760918,35004261,35005262,35017853,35103876,35302493,35394315,35401398,35557589,35563094,35606403,35803836,36082014,36926030,37266411,37304013,37473748,37687995,37753936,38041982,38123801,38497814,38927034,39186398,39230420,39290261,39442781,39749668,40183613,40200528,40261892,40362341,40412078,40964700,41131193,41444414,41508888,41767598,41826701,41856533,41895965,41936414,42091301,42388575,42473178,42620333,42763229,43003492,43041230,43144574,43537156,43572665,43695680,43860281,43963301,44311236,44364775,44498093,44719192,44785821,44816189,44954078,45214480,45225594,45387716,45431013,45887812,46397181,46617688,46697499,46930574,47076504,47562029,48003141,48159533,48239309,48375230,48525758,48591929,48767500,49157640,49214333,49291373,49459694,49516190,49959941,49978253,50275158,50309091,50359576,50510372,50804420,50866290,50880261,50957021,51024221,51164093,51247672,51317021,51649476,51907565,52197038,52287198,52434816,52444899,52456121,52471101,52555195,52752868,52779158,52961067,53149624,53237730,53354981,54178454,54257376,54279572,54752452,54828638,55302345,55685741,55873334,55951901,55998628,56346830,56611901,56654523,56785240,56786912,57006014,57381269,57419165,57423353,57653631,57731540,57968345,58050276,58115081,58344821,58414334,58521000,58760728,58773998,58989168,59170181,59260982,59280101,59419428,59487641,59752430,59780078,59793327,59884781,59891775,60130430,60886190,60965304,61039548,61144133,61272758,61433560,62203748,62289078,62422400,62775161,62868221,62920718,63066234,63378250,63417112,63883395,63884560,63885276,64882301,64897133,65256014,65312301,65380814,65493716,65522189,65681822,65751533,65836125,66105819,66129701,66362814,66465112,66527102,66853461,67313753,67616196,67753348,67912661,68112568,68142288,68585967,68635275,68876345,68902998,69002013,69027998,69112755,69277848,69417965,69562014,69562661,69919581,70123028,70225200,70272761,70306190,70597718,70842773,70911638,70969316,71111381,71344251,71702916,71870130,71907518,72120665,72156516,73063428,73210960,73310030,73414436,73678264,73720272,73798036,73899101,73960755,74157014,74773251,74906880,74925614,75078850,75361240,75430852,75516638,76053900,76076132,76271501,76526933,76589013,76626639,76660074,76661472,76671101,76753133,77321272,77377709,77653901,77937579,78090213,78689181,78891472,78892598,78961481,79003350,79300061,79493198,79798829,79900672,79998040,80008622,80182821,80378333,80480901,80879861,81031961,81124160,81147101,81727493,81871301,82115032,82253918,82362330,82651614,82888047,82935306,83024344,83301558,83644694,84031961,84132068,84197741,84270240,84367428,84484815,84528830,84578582,84631341,84781395,84844478,85517654,85854616,86244156,86322974,86397141,86544798,86613689,86984013,86986431,87065368,87518693,87853152,87862701,87972036,88377293,88385333,88575614,88752906,88784031,88987022,89015775,89171981,89886740,89888256,89997795,90094620,90117136,90156292,90433488,90587033,90829373,90911381,91264680,91556798,91931414,91937541,92142149,92379411,92520341,92537492,92710190,93226155,93402387,93418265,93445229,93473438,93643802,93823421,93997502,94297853,94804020,94841381,94950160,95516345,95657933,95997648,96079515,96100928,96187253,96313238,96468662,96471716,96586443,96795278,96834136,97173854,97177982,97348992,97939348,97948539,97970421,97978072,98156381,98572598,98652665,98683481,98689661,98834796,98951918,98993572,99108741,99375230,99441232,99637721,...,15286461315715649131238976338849416644111043628739600163883243397319232486152089055997184728606522144673664682864124586926699065549919678636165835109141915984947094415130671358723191067287454391899492368564262552445522596517836613241216958608544909429046740640039780153250800814206542301213826660690333972879677265782726273979674047610562502359195389968292196259645112861814768204325752917108419253443280351527992682771786234148069200343685504182892995906268040878019440576347426989498444547273140833859838450590606651893941897483952514461216443666972461396604662029913800069562268549722276533613047551116746170528960472172577361663691995452061813775385492714051410040781098749635379030254624561308120857394395893993630460488875521012691081003069374931045469863753661354136321967482560677631854861456973420135163922603168751600264598285467614575470271706529187696339000247943098628138520645683176741130981286116373141968880347170636703578213638958986972175138384897037568574631865987094474734216663902948444045643169815736786028069305721089041398053857272423871902732041379947616873638978416324534662557933104387563320155764450091439338929829562768653987279108412579821372541151501178382833956764839723690614212758674901989503496285701869986063202635574772079209502366294301553864365228386329782391936292405471677645423963145116904167345833695199483149137389304488724813749240584261948603818933924877613525484533782897440146047753011035105526506741374661347289493821928894067811383894042676866364026567974255338809497475221823018366563205273956435224059521705648196173740100108080571569302737211373881664129459393834503112967174755296220101575641936658448298977009645922989456672374307170744726730991298309977857364132951231146963999181111716754474302996787035434461409683969587944625766356941686728962964862796205836291763252410734902069242037483481332014014296900204244758260437727583625175954819510805109751260985468923040291248701154590706201712834376764032992168348037337401761064028058836719556728320455320525656799607620552329078107270209713703971972618035298444807642859026406471507123048058419339550752963373508752251230087128238160435683640648490310013043530447186924674972012232328852208727303311570453671557086601647956443115813814606907911068379594952671396729280009157030885471180437985162259124067949412621277462018087492312344186732947148140800427817083808760501505405598495078263762871322834003624942517870935962865713428077831545767173722947366074883622539974322802972684667511136556366622972700740561481008273389172417268524543352921262444178589978724875835113683685584619401228538846062861303823524799491727924684899285047305386414953844503333448221587768995456868500192531308527510617196544215534847341136998854523976996762497711960632867897253356368080407231699244287157824244038742092430044955851079387220843874054985262573859004916006388119697084365204137898382955649474146622491845660133970834069219420644369183154551120509017410260418512562306176167593746531016514882949774671387501927417779500330167041258076825572511099419998706588747358471997089044207295354944236897771476838732}
19532  48131980118302119245129666253731697263742582280414044074065816551177162: {604531,838027,897322,1131058,1187731,1598098,1831402,2001187,2064562,2117107,2297578,2375218,2608042,2840722,2926531,2965064,3228202,3335697,3460498,3770002,3847267,3924658,4001962,4156522,4233778,4305907,4388242,4594684,4928362,4974285,5305904,5390698,5447467,5525788,5768744,5775538,5852458,5969142,6015547,6083122,6489837,6694867,6702152,6727845,7081041,7176368,7539921,7617202,7848508,8073414,8152618,8312188,8828947,8839858,8875685,9297298,9906322,9941707,10134442,10438378,10514273,10626268,10650822,10817938,10940061,11272882,11549884,11597347,11707147,11954218,11982045,12181042,12290504,12679550,12692107,12780848,12968165,13313002,13388338,13731285,13826817,13888027,14065642,14291122,14378454,14646704,14891698,15020390,15076904,15215460,15479445,15561798,15640978,15933187,16004552,16229824,16244333,16477542,16478345,16511408,16911082,16931624,16961517,17134738,17432722,17525308,17581618,17808645,18005121,18024468,18250858,18258552,18374131,18440284,18525950,18575334,18650973,18689707,18992938,18995888,19048077,19214227,19423531,19520501,19554285,19774014,19807378,20153827,20540871,20722684,20857904,21135922,21145565,21190987,21370374,21457700,21558344,21651178,21668997,22231140,22528531,22860597,23192242,23206190,23338642,23345587,23411818,23465142,23713216,23752387,23850538,24056731,24114657,24204045,24253137,24359548,24944818,25230485,25368067,25374678,25749240,25796425,25817648,26035498,26352381,26567731,26623228,26677368,26763604,26766667,26866027,27339562,27465856,27556402,27693869,27757027,27847428,27886430,27917482,28266285,28422322,28707925,28815357,28838107,28967895,28998322,29033731,29044854,29312885,29425845,29501482,29780284,29813347,29850152,30005445,30012039,30150704,30199521,30201427,30207950,30276582,30362218,30899088,30919521,30955710,30974131,31006258,31164285,31363498,31387568,31646467,32005808,32076778,33019424,33034694,33075307,33151700,33241904,33463716,33581421,33919542,34018867,34265884,34300531,34449510,34761474,34843282,34955227,35175462,35177645,35196202,35311014,35686677,36006534,36043550,36249540,36252562,36320277,36346267,36438427,36744298,36746144,36806347,37081531,37146852,37264627,37375378,37388668,37397142,37515442,38233720,38666176,38719027,38773138,38973477,39129293,39166941,39258245,39469618,39529027,39562670,39782040,39840285,40095082,40230021,40233898,40244131,40442002,40649962,40713861,40790477,41134642,41191941,41339412,41549458,41875550,42213174,42308458,42434176,42496304,42623587,42655784,42695517,42721642,42884731,43012935,43145227,43150684,43238425,43252260,43318531,43499448,43879845,44026258,44064629,44573842,44754795,44770557,44778922,44841713,44983858,45290827,45499053,45564321,45880464,46135744,46505921,46618162,46672348,46686058,46724131,46805168,46842185,46891387,47109894,47192420,47201864,47296402,47308267,47431858,47475204,47634922,47738448,47808342,47987757,48040618,48109352,48936879,49038025,49125333,49202731,49456018,49687085,49688548,49704357,49738684,50127538,50250660,50327365,50658787,50730538,51064978,51205875,51218731,51415637,51615522,51775147,51854347,51866002,51886110,51902712,52141377,52507893,52531762,52655814,52951613,53033707,53102097,53129578,53344641,53461138,53527402,53578531,53600704,53659882,53705754,53726098,53754365,54119827,54123021,54421445,54619600,54734131,55345184,55389045,55489973,55507882,55646947,55705138,55722547,55836562,55898990,55991897,56033578,56099467,56210622,56427178,56518100,56624131,56630904,56734645,56847907,57062973,57359765,57408658,57515347,57604522,57669778,57736531,57746721,57883627,57995818,58060978,58156973,58250107,58256362,58272110,58390551,58687507,58779597,58845630,59081648,59555242,59598497,59624502,59698027,59714428,60300792,60392838,60396082,60411187,60574684,60618117,60835627,60959375,61327531,61362922,61447050,61862908,61941298,62133802,62166621,62263332,62369731,62651397,62768672,62904621,62949470,63137965,63191827,63285802,63505525,63709767,63859858,63936307,64004188,64059590,64405531,64468481,64505238,64559722,64561845,64605547,64716861,64871227,65069731,65201707,65305734,65321002,65543520,65764018,65922427,65941085,66079978,66143122,66437030,66466854,67019131,67033544,67078788,67214122,67431117,67656113,67821720,67838391,67840348,67843747,67849465,67967338,68030002,68081574,68157667,68440565,68530738,68593258,68718187,68831718,68865968,69030038,69334147,69466858,69716264,69913088,69926532,69961468,69998285,70395861,70461418,70614756,70723531,70981550,70983640,71328298,71725987,71760562,71850653,72068842,72164425,72343168,72363547,72562845,72622738,72646301,72650467,72788637,72807082,73151250,73175338,73450910,73543018,73604242,73612531,73724347,73736460,74093458,74189541,74274285,74337682,74459698,74520682,74608507,74825362,75122789,75259531,75412737,75539364,75615658,75730421,75765558,76182197,76206630,76299435,76342762,76645042,76738267,76791950,76871508,77201587,77354731,77366993,77368882,77400368,77429098,77474214,77754685,77759947,78028000,78295557,78430797,78450322,78457987,78507307,78652224,78850531,78852494,79129302,79168737,79190227,79225904,79271390,79724436,79811731,79855700,79856595,79953427,80047531,80419498,80478898,80657002,81267681,81287072,81367978,81386064,81419358,81809117,81867145,81869131,82017682,82088731,82128678,82176067,82242957,82306531,82900522,83052104,83081390,83311282,83780731,83810001,83862307,83997942,84088312,84480562,84504547,84520245,84691685,84729869,84896587,85051387,85140710,85177860,85180368,85237162,85509021,85730813,85845187,85919131,85992787,86029507,86175667,86341541,86395882,86536027,86569138,86597310,86626858,86748787,87011078,87075414,87083068,87439267,87621501,87653785,87674131,87781500,87835282,88141092,88160997,88293778,88483752,88578307,88711645,88891473,89009227,89129142,89137948,89378602,89396731,89610422,89628645,89629147,89670117,89674214,89719978,90052507,90154928,90190027,90195645,90512731,90514282,90565507,90644131,90853738,90856384,90977347,91079722,91102267,91322587,91329285,91418218,91447956,91466227,91513700,91559322,91768045,91870664,91909137,92002684,92097830,92150340,92247545,92308013,92370464,92562427,92749352,92766442,92856187,92987731,93024667,93205027,93226108,93305622,93381298,93433617,93560347,93633600,93671731,93715858,93869227,94068307,94081987,94109131,94201550,94288565,94364731,94381077,94400587,94447387,94481731,94599351,94612627,94716082,94755518,94789531,94935187,94974067,95053267,95067375,95095165,95125668,95234131,95255731,95263867,95267827,95269522,95282947,95347531,95356531,95361067,95363731,95372731,95456777,95603888,95806949,95826840,95827914,95876458,96094733,96208688,96371602,96585709,96651590,97179761,97193962,97417904,97884021,98012722,98071221,98176042,98240574,98293696,98339218,98522733,98614340,99207058,99477418,99544221,99697668,99790653,99875840,99997550,...,22929691973573473696858464508274124966166565443109400245824865095978848729228133583995777092909783217010497024296186880390048598324879517954248752663712873977420641622696007038084786600931181587849238552846393828668283894776754919861825437912817364143570110960059670229876201221309813451820739991035500959319515898674089410969511071415843753538793084952438294389467669292722152306488629375662628880164920527291989024157679351222103800515528256274339493859402061317029160864521140484247666820909711250789757675885909977840912846225928771691824665500458692094906993044870700104343402824583414800419571326675119255793440708258866042495537993178092720663078239071077115061171648124453068545381936841962181286091593840990445690733313281519036621504604062396568204795630492031204482951223841016447782292185460130202745883904753127400396897428201421863205407559793781544508500371914647942207780968524765111696471929174559712953320520755955055367320458438480458262707577345556352861947798980641712101324995854422666068464754723605179042103958581633562097080785908635807854098062069921425310458467624486801993836899656581344980233646675137159008394744344152980980918662618869732058811727251767574250935147259585535921319138012352984255244428552804979094803953362158118814253549441452330796547842579494673587904438608207516468135944717675356251018750542799224723706083956733087220623860876392922905728400887316420288226800674346160219071629516552658289760112061992020934240732893341101717075841064015299546039851961383008214246212832734527549844807910934652836089282558472294260610150162120857353954105817060822496194189090751754669450762132944330152363462904987672448465514468884484185008561460756117090096486947464966786046199426846720445998771667575131711454495180553151692114525954381916938649535412530093444447294194308754437644878616102353103863056225221998021021445350306367137390656591375437763932229266207664626891478203384560436873051731886059302569251565146049488252522056006102641596042088255079335092480682980788485199411430828493617160905314570555957958927052947667211464288539609707260684572087629009326129445060263128376845130692357240653525460972735465019565295670780387012458018348493278313090954967355680507335629902471934664673720721910361866602569392429007095093920013735546328206770656977743388686101924118931916193027131238468516280099420722211200641725625713140752258108397742617395644306984251005437413776806403944298570142116747318650760584421049112325433809961484204459027001266704834549934459051110842221512410083758625902786815029381893666267884968087313752670525528376929101842808269094291955735287199237591887027348927570958079622430766755000172332381653493185302750288796962791265925794816323302271011705498281785965495143746567940949301845880034552120610847548866430736736366058113138645067433776619080831265811082477893860788507374009582179545626547806206847574433474211219933737768490200956251103829130966553774731826680763526115390627768843459264251390619796524772324424662007081252891126669250495250561887115238358766649129998059883121037707995633566310943032416355346657215258098}
19533  48320889983759701660658838080007820313291216633079810670779235716258054: {39062,1345983,1696587,2397147,2594431,2747103,3096843,3296683,3446367,3562827,3706330,3912063,4261083,4447596,4642666,4816747,4842303,5047651,5190747,5579002,5655003,5743355,5864383,5886987,6002943,6234783,6279322,6350667,6582363,6632380,6892026,6907235,7210930,7392543,7854067,7958856,8086047,8151418,8288682,8377690,8619442,8653116,8663307,8778687,8953713,8970460,9124683,9371323,9441388,9810635,10053228,10390235,10754191,10764552,10887643,11183242,11350427,11425803,11475487,11772762,12110121,12228927,12468282,12631487,12815866,13192291,13259787,13282835,13291498,13692331,13945947,14003983,14201096,14437355,14447482,14586748,14694706,14815171,14859483,15201663,15363130,15555731,15657567,15859162,15907807,15939402,15976060,15976233,16226907,16621402,16909323,17033386,17324826,17536163,17931327,18250666,18271563,18308380,18359267,18425242,18435756,18455203,18711631,18846130,18863551,19019325,19024907,19171272,19515371,19965907,19969503,20005690,20082507,20287280,20535082,20639260,20749064,20762482,21039503,21098463,21164530,21436683,21470266,21567681,21576731,21906635,21970056,22337547,22530585,22590442,22615356,22823190,23050355,23141507,23342697,23461467,23718083,23744860,23793562,24006828,24032624,24344736,24492403,24502066,24716313,24756031,24767112,24867964,25366623,25397436,25702107,25903355,25999363,26072380,26118883,26149083,26287962,26365352,26372427,26381866,26519891,26822125,26947930,26964667,27036702,27376287,27387828,27419963,27464122,27660426,27774202,27788925,27863001,27942431,28005082,28466602,28489407,28493832,28891996,29086666,29393051,29641520,29661021,29711067,30335818,30449435,30480796,30858802,31084026,31231882,31286856,31703883,31752347,31812346,32055561,32152876,32186550,32272060,32337516,32476767,33139642,33279035,33346710,33454505,33788458,33832904,34332320,34788363,34809285,35007963,35008858,35021467,35117727,35136508,35197713,35569824,35775807,35785531,35899162,35957503,36539322,36762931,37086143,37129904,37184266,37225355,37273163,37312690,37323811,37417227,37419418,37688380,38062017,38420476,38623860,38726472,39053247,39234460,39754787,39934842,40007260,40012547,40016052,40145406,40266028,40368776,40954522,41009343,41198784,41226028,41274280,41301631,41334603,41439625,41448682,41552380,41771142,41829645,41876223,42095683,42633483,42832355,43497483,43567281,43967827,43998922,44252223,44300266,44618288,44648122,44670426,44775228,44958706,45133691,45226056,45311925,45414873,45543327,45932680,46348632,46433565,46509387,46735835,46746347,46780831,46900616,47008427,47045247,47081352,47566927,47582236,47750783,47792150,48008712,48115167,48164491,48252562,48332720,48407603,48427036,48979762,49437707,49529136,49552041,49727550,49862856,50195574,50879313,50962267,50989042,51398826,51674265,51696442,51872362,51964636,52142211,52222588,52264923,52451818,52461523,52763193,52794303,52964587,52966521,53042720,53120380,53273266,53319730,53640028,53871071,53938355,54009801,54065325,54285148,54374310,54378843,54568282,54570443,54922588,55116447,55119216,55716287,55720278,55957663,56063067,56083002,56095713,56273163,56284232,56534531,56755891,56831387,56927356,57350580,57669680,57999264,58159707,58337866,58340435,58388927,58506460,58654351,58990525,59002330,59204427,59267098,59344005,59673060,59694076,59917162,60136690,60142623,60257722,60350847,60663003,60665404,60729467,60752428,60949963,60974943,61001731,61044323,61173952,61279066,61701963,62009118,62110685,62173355,62324187,62813192,62813325,63300272,63319761,63462687,63544307,63651264,63744456,63902842,63983676,64029082,64037266,64082463,64699331,64726026,64878390,65249172,65500444,65688586,65720831,66032122,66039387,66272476,66486187,66860763,67000880,67168383,67475787,67636666,67725322,67814227,68274500,68570122,68782258,68820696,69035122,69181480,69203616,69322666,69521836,69927243,70008522,70010524,70029087,70035706,70207752,70604986,70647625,70664841,70772923,70788630,70801547,70802796,70944603,71115178,71126188,71147787,71212806,71452383,71607672,71712513,72060927,72164028,72670591,73577273,73598027,73852060,74184027,74436251,74532822,74608026,74643035,74947496,75191307,75375990,75507872,75674687,75691103,75718355,76083964,76095807,76247602,76597467,76679083,76995628,77328635,77423283,77799003,77829165,77854068,78153283,78187771,78372796,78460840,78580522,78797643,78885562,78983721,79499336,79694367,80005235,80191707,80291103,80298131,80367226,80386831,80401056,80489823,80523784,80558631,80589147,80632607,80724682,80824156,81155683,81279167,81929400,82262386,82888828,83017776,83261823,83535196,83557707,83653402,83713066,83754843,83791930,83848485,83872828,84040723,84050367,84142571,84182602,84315933,84342731,84640767,84777150,84800435,84868367,84946356,85240666,85526458,85865023,86006984,86082460,86112987,86289148,86406783,86504667,86993727,87074312,87091467,87145330,87384543,87391360,87408165,87451835,87720562,87926602,88251067,88268445,88622472,88729550,88996186,89332863,89436753,89438384,89571642,89632378,89782907,89908156,90428960,90451188,90589257,90594123,90775432,90838747,90862026,91467347,91775624,92044383,92170575,92794362,92911947,92971967,93200703,93235376,93394998,93861148,94153008,94201547,94307707,94424205,94928703,94957727,95124058,95789787,96006282,96089385,96319066,96426883,96478618,96750460,96757857,96839583,97051516,97183858,97185151,97456991,97535000,97750031,97958601,97981503,98315280,98428666,98582746,98646027,98919388,99032380,99119967,99214683,99655545,99700281,99819625,99919882,99956506,...,34394537960360210545287696762411187449249848164664100368737297643968273093842200375993665639364674825515745536444280320585072897487319276931373128995569310966130962434044010557127179901396772381773857829269590743002425842165132379792738156869226046215355166440089505344814301831964720177731109986553251438979273848011134116454266607123765630308189627428657441584201503939083228459732944063493943320247380790937983536236519026833155700773292384411509240789103091975543741296781710726371500231364566876184636513828864966761369269338893157537736998250688038142360489567306050156515104236875122200629356990012678883690161062388299063743306989767139080994617358606615672591757472186679602818072905262943271929137390761485668536099969922278554932256906093594852307193445738046806724426835761524671673438278190195304118825857129691100595346142302132794808111339690672316762750557871971913311671452787147667544707893761839569429980781133932583050980687657720687394061366018334529292921698470962568151987493781633999102697132085407768563155937872450343145621178862953711781147093104882137965687701436730202990755349484872017470350470012705738512592116516229471471377993928304598088217590877651361376402720889378303881978707018529476382866642829207468642205930043237178221380324162178496194821763869242010381856657912311274702203917076513034376528125814198837085559125935099630830935791314589384358592601330974630432340201011519240328607444274828987434640168092988031401361099340011652575613761596022949319059777942074512321369319249101791324767211866401979254133923837708441390915225243181286030931158725591233744291283636127632004176143199416495228545194357481508672698271703326726277512842191134175635144730421197450179069299140270080668998157501362697567181742770829727538171788931572875407974303118795140166670941291463131656467317924153529655794584337832997031532168025459550706085984887063156645898343899311496940337217305076840655309577597829088953853877347719074232378783084009153962394063132382619002638721024471182727799117146242740425741357971855833936938390579421500817196432809414560891026858131443513989194167590394692565267696038535860980288191459103197529347943506170580518687027522739917469636432451033520761003444853707901997010581082865542799903854088643510642640880020603319492310155985466615083029152886178397874289540696857702774420149131083316800962588438569711128387162596613926093466460476376508156120665209605916447855213175120977976140876631573668488150714942226306688540501900057251824901688576666263332268615125637938854180222544072840499401827452130970629005788292565393652764212403641437933602930798856387830541023391356437119433646150132500258498572480239777954125433195444186898888692224484953406517558247422678948242715619851911423952768820051828180916271323299646105104549087169707967601150664928621246898716623716840791182761061014373269318439821709310271361650211316829900606652735301434376655743696449830662097740021145289173085941653265188896377085929694787158486636993010621879336690003875742875842830672857538149973694997089824681556561993450349466414548624533019985822887147}
19534  48510536017415755857830212483423523168527670800408779617026278646429901: {58593,1209062,1381873,1676054,1794644,1962733,2078689,2194573,2262116,2375462,2541793,3196196,3662804,4002374,4129124,4234214,4497133,4595156,4750436,5216084,5559495,5681444,5853062,5930128,6456404,6671394,6770893,6920996,6963999,7540004,7694534,7849316,8003924,8290475,8313044,8368503,8467556,8611814,8776484,8792653,9189368,9418983,9572593,9856724,9905773,9948570,10338039,10611808,10781396,10816395,10894934,11051576,11121889,11213075,11537488,11551076,11671789,11704916,11801735,11938284,12031094,12166244,12227127,12425959,12433023,12566535,12929163,12979674,13389734,13404304,13455690,14162082,14286253,14352736,15079842,15234404,15363373,15697016,16113073,16146828,16305236,16624376,16774863,17496013,17601889,17657894,17659143,17679716,17751370,18155431,18233435,18594596,18702423,18761773,19076593,19223799,19812644,19883414,19937247,19970075,20121313,20268884,20876756,21028546,21252536,21301644,21365473,21635876,21671223,21674893,21880122,21880813,22042059,22394353,22545764,22885475,23044695,23069683,23099768,23194694,23314189,23414294,23416033,23721133,23788743,23908436,23909103,23964090,24362084,24581008,24932103,25359100,25384214,25550079,25561696,25799075,25936330,25955831,25987239,26626004,26776676,26835889,26935213,27375999,27462570,27637863,27653634,27776054,27924493,28131284,28269195,28582244,28756908,28906573,29293408,29603791,29681075,29783396,30008535,30040780,30153808,30269389,30430920,30802623,30958890,31084955,31123596,31143723,31281956,31713889,31746795,31866374,32009104,32205399,32459648,32488666,32590475,32955084,32956690,33022816,33142189,33614689,33822164,33863248,33885663,33923034,34234785,34269476,34865444,35050616,35163236,35322679,35617290,35690343,36010242,36042673,36048936,36114995,36501716,36517104,36748262,36753099,36880568,37051900,37150668,37238413,37301946,37379414,37985876,37991776,38096154,38100995,38240689,38331373,38428454,38783713,38847062,39041002,39108570,39431943,39548028,39572799,39614756,40191095,40307654,40340075,40397233,40421895,40555053,41038039,41081742,41196183,41283553,41371789,41445368,41490639,41661303,41715808,41724013,42007623,42271844,42291130,42381974,42699903,42740748,42915400,43116688,43302356,43337994,43629999,43899313,43920635,44462280,44500333,44927473,45057062,45503727,45607153,45721194,46288203,46384484,46412380,46626039,46677284,46691174,46823636,46847823,46930284,47110475,47426432,47452513,47504774,47701076,47701453,47718519,48025595,48113462,48229314,48279793,48279825,48408090,48506274,48608689,48719096,49043075,49248703,49709463,49889636,50009075,50020065,50155213,50332535,50460970,50682687,50718433,50736134,50749356,51498480,51532535,51592850,51635296,51940475,52070996,52513287,52704762,53135462,53246456,53354736,53527208,53533334,53732054,53848743,54177889,54237887,54679124,54808983,54931712,54944689,54961543,55112804,55387738,55514054,55628653,55694856,55704289,55772860,55776399,55834964,55969035,56129127,56456689,56531533,56532570,56844644,57415850,57630714,57676214,57935790,57996644,58067462,58089708,58625770,58851690,59002964,59322253,59394289,59477795,59560568,59626694,59700304,59753389,59824993,59902263,60010890,60024078,60218109,60301408,60395233,60399042,60402854,60415900,60533795,60537073,60553164,60724436,61431783,61798176,61839042,61911420,61948262,61955531,62012516,62173023,62216689,62328570,62579179,62656713,62726996,62775136,62972653,63177313,63292934,63652333,63922189,64011616,64153556,64955795,65188273,65278235,65579059,65998383,66038848,66069388,66150614,66299053,66303400,66400475,66450399,66483808,66557389,66927432,66972183,67005639,67050035,67134433,67162842,67198189,67438059,67452493,67831789,67839084,67856435,68037734,68365847,68520433,68531768,68601062,68653235,68899020,69077389,69138913,69522948,69561919,69628513,69686564,69750193,69910454,69932173,70234033,70350924,70355290,70392404,70458311,70593889,70622028,70653613,70891789,71159195,71373354,71482189,71688225,72013068,72087100,72123313,72378843,72411853,72499080,72505124,72640554,72692534,72876854,73133075,73469643,73488596,73491889,73492288,73612694,74049889,74163062,74293704,74529254,74591325,74617595,74750756,74777336,74794284,74818993,75030884,75256111,75293361,75831755,75940535,76157293,76190023,76467440,76483563,76990189,77041633,77098239,77195533,77332352,77438054,77544663,77546276,77808543,77946954,78258586,78333882,78452833,78502189,78516490,78677727,78796813,78939236,79058054,79125340,79428503,79522033,79564080,79680570,79760173,79909899,79979595,79996513,80190164,80303671,80460042,80467796,80488262,80884004,81060493,81286753,81299924,81427722,81555889,81561465,81580954,81852423,81875555,82042573,82269284,82383882,82649389,82678824,82692193,82820173,82840595,83098916,83491789,83580417,83751100,83796383,84124503,84426348,84616916,84662113,84868352,84992608,85051633,85243693,85247174,85311568,85343125,85391034,85443284,85769462,86025870,86290454,86301368,86476850,86504520,86537713,86637062,86902295,86961073,86998896,87506799,87513155,87759690,87974113,88052516,88129258,88392973,88393151,88503495,88737889,88861153,88900647,88907735,89074093,89147684,89224033,89342689,89460193,89509590,89541114,89557844,89683426,89875743,89946733,89967716,90205035,90358753,90386583,90465889,90581654,90728689,90998106,91128642,91134193,91232689,91354189,91433719,91591789,91730893,91760928,91822189,91912333,91918599,92045389,92271488,92315075,92317519,92571889,92651953,92691553,93011842,93013677,93162253,93215713,93236324,93344696,93372116,93423073,93448262,93610336,93651889,93684370,93782774,94025389,94214893,94219788,94366093,94384840,94403728,94584289,94592804,94616534,94698733,94863716,94950408,94989251,95076193,95096173,95104955,95158093,95186353,95197153,95212813,95237473,95269844,95281393,95304289,95307853,95321389,95386189,95393713,95394289,95476896,95616684,95719979,95816791,95854263,95975514,96043623,96055899,96081236,96218704,96244535,96595631,97089039,97317585,97873758,97965995,97997599,98076050,98250666,98405462,98532879,98912036,99048183,99374170,99377096,99408714,99477368,...,45859383947146947393716929016548249932333130886218800491649730191957697458456267167991554185819566434020994048592373760780097196649759035908497505327425747954841283245392014076169573201862363175698477105692787657336567789553509839723650875825634728287140221920119340459752402442619626903641479982071001918639031797348178821939022142831687507077586169904876588778935338585444304612977258751325257760329841054583978048315358702444207601031056512548678987718804122634058321729042280968495333641819422501579515351771819955681825692451857543383649331000917384189813986089741400208686805649166829600839142653350238511586881416517732084991075986356185441326156478142154230122343296248906137090763873683924362572183187681980891381466626563038073243009208124793136409591260984062408965902447682032895564584370920260405491767809506254800793794856402843726410815119587563089017000743829295884415561937049530223392943858349119425906641041511910110734640916876960916525415154691112705723895597961283424202649991708845332136929509447210358084207917163267124194161571817271615708196124139842850620916935248973603987673799313162689960467293350274318016789488688305961961837325237739464117623454503535148501870294519171071842638276024705968510488857105609958189607906724316237628507098882904661593095685158989347175808877216415032936271889435350712502037501085598449447412167913466174441247721752785845811456801774632840576453601348692320438143259033105316579520224123984041868481465786682203434151682128030599092079703922766016428492425665469055099689615821869305672178565116944588521220300324241714707908211634121644992388378181503509338901524265888660304726925809975344896931028937768968370017122921512234180192973894929933572092398853693440891997543335150263422908990361106303384229051908763833877299070825060186888894588388617508875289757232204706207726112450443996042042890700612734274781313182750875527864458532415329253782956406769120873746103463772118605138503130292098976505044112012205283192084176510158670184961365961576970398822861656987234321810629141111915917854105895334422928577079219414521369144175258018652258890120526256753690261384714481307050921945470930039130591341560774024916036696986556626181909934711361014671259804943869329347441443820723733205138784858014190187840027471092656413541313955486777372203848237863832386054262476937032560198841444422401283451251426281504516216795485234791288613968502010874827553612807888597140284233494637301521168842098224650867619922968408918054002533409669099868918102221684443024820167517251805573630058763787332535769936174627505341051056753858203685616538188583911470574398475183774054697855141916159244861533510000344664763306986370605500577593925582531851589632646604542023410996563571930990287493135881898603691760069104241221695097732861473472732116226277290134867553238161662531622164955787721577014748019164359091253095612413695148866948422439867475536980401912502207658261933107549463653361527052230781255537686918528502781239593049544648849324014162505782253338500990501123774230476717533298259996119766242075415991267132621886064832710693314430516196}
19535  48700921067650183167156402118293302455734798850089275614378963734130533: {78124,1813593,2243305,2514081,2691966,2827645,3393174,3563193,3647809,3995245,4578505,4794294,4933753,5161405,5188862,5494206,5635789,5743945,5938045,6003561,6193686,6351321,6520105,6593366,6892734,7101805,7125654,7412660,7824126,8040697,8070505,8522166,8651245,8779593,8786833,8895192,9285332,9425005,9608077,9633494,9670129,9684606,9811645,10004905,10007091,10069609,10095302,10309681,10381494,10391305,10584445,10970605,11158004,11310006,11351593,11486710,11541801,11728766,11773974,12005886,12320905,12469566,12558644,12701334,12917721,12995161,13059673,13164726,13264760,13414141,13476745,13575469,13734889,13784052,13814470,14339809,14421860,14438845,14546329,14631145,14785086,14922855,14928121,15207805,15557329,15708134,15917712,16172094,16302836,16342401,16380157,16577364,16755380,17238884,17306232,17326614,17385817,17557374,17749633,17907426,17940920,18046641,18249366,18361153,18595969,18742646,18882776,19043005,19254841,19469511,19599241,19621270,20084601,20106456,20176909,20183535,20212297,20381545,20728609,20780470,20890237,21243123,21508382,21529104,21578953,21775286,21811297,22003993,22099645,22366484,22483981,22619763,22700854,22851606,22853809,22950974,23243245,23472529,23545524,24220242,24270361,24457854,24737473,24765805,24936564,25262974,25336105,25499773,25631732,26095945,26384582,26486841,26519574,26565670,26582996,26627055,27044845,27384662,27891894,28007966,28182205,28348849,28402192,28874710,28894964,29173496,29216209,29389412,29396077,29516269,29630342,29718966,29825121,29885545,30403326,30452605,30645841,30669289,30726260,31111462,31315134,31542819,31698875,31718324,31747153,31815614,31878804,31952120,31952466,32025229,32178553,32270497,32453814,32820183,32851057,33022873,33242804,33273817,33282505,33338989,33470845,33818646,34066772,34649652,34792041,35072326,35121441,35164105,35309761,35727805,35862654,35946135,36264697,36501332,36543126,36616760,36718534,36850484,36871512,36910406,37089961,37229245,37423262,37474369,37525501,37550975,37692260,37727102,38038650,38049814,38076321,38342544,38904495,39030742,39102445,39758881,39931814,39939006,40011380,40165014,40574560,40618633,41070164,41139661,41193855,41278520,41480451,41498128,41524964,41658241,41664081,41865169,42079006,42196926,42245293,42277705,42329060,42629209,42772033,42836845,42873366,42940532,42945169,43135362,43153462,43174849,43581805,43813270,43940112,43954045,44507257,44675094,45061170,45138349,45180884,45230712,45627145,45646380,45792577,46100710,46283014,46314875,46438335,46590649,46685394,46751161,46836307,46922934,47345353,47436166,47482345,47489720,47587124,47799561,48013656,48065248,48601933,48643321,48689472,48732999,48984806,49004132,49301521,49432626,49435035,49512062,49518445,49534224,49735928,49970233,50115277,50443537,50733246,50794872,50884551,51034729,51404214,51806710,51998726,52115497,52144760,52237766,52298166,52575924,52730704,52744854,52763732,52839805,53039782,53212753,53365969,53425935,53644250,53876617,53895860,53929334,54015363,54073404,54127945,54467809,54576061,54752574,54775656,54839926,54928244,55122393,55320852,55548404,55577850,55697209,55726002,55884862,55952919,56010164,56069121,56540353,56933204,56978814,56987664,57144231,57642681,57783992,57956761,57980605,58015475,58127053,58173332,58270593,58346605,58394953,58426381,58529545,58561503,58662855,58786102,59283040,59292313,59322042,59422134,59626345,59965297,60461481,60671636,60735721,60750793,60898870,60961592,61156729,61622613,61717604,61935481,61981513,62168052,62362045,62463764,62573712,62788093,63407766,63436695,63504694,63572961,63624692,64111122,64305752,64373100,64544120,64675032,64794529,64953534,65006991,65088745,65356177,65430169,65727673,65846521,66143473,66279284,66558070,66693420,66909010,66974809,67576916,67585593,67590577,67665808,67926673,68348905,68581791,68664640,68891005,69576726,69618570,69716075,69793705,70015926,70017716,70036761,70042934,70235454,70273016,70395426,71055805,71139648,71257161,71372857,71551614,71571062,71798324,71915006,72170193,72311017,72343971,72495805,72612135,72759411,73078644,73525862,73753705,74172286,74255281,74259808,74368532,74450710,74546326,74625380,74647622,74834454,74838836,75092077,75376760,75513697,75519875,75691455,75905545,76104201,76124034,76768969,76840952,77247720,77336809,77389275,77452944,77515645,77670073,78106494,78408745,78468920,78673753,79057143,79509574,79593961,79703193,79869684,80014520,80025094,80032104,80191945,80290812,80300001,80532056,80598081,80641033,80737552,81240361,81676609,81888193,81909044,82018686,82212289,82397568,82452056,82548560,82586735,82603262,82669206,82879250,82897364,83081607,83104760,83193457,83271081,83542284,83568721,83659290,83752446,84034393,84191366,84215113,84798855,85050769,85266966,85664710,85757041,86123775,86446071,86514321,86903685,86954959,86994966,87042697,87101193,87108205,87134562,87935654,87938655,87990505,87997844,88025677,88277535,88403569,88504446,88600532,89236576,89296244,89340852,89433721,89440041,89550456,89792173,89917412,90016335,90036117,90108875,90267382,90452112,90598563,90604281,90623850,90631405,90829746,91086654,91860745,91865360,91895149,92030089,92697264,92758563,92867130,92922393,92981713,93018774,93438445,93471670,93492694,93492855,93561662,93667753,93788605,93801232,94016854,94041697,94090494,94162561,94162704,94939401,95133854,95164472,95293081,95501566,95584300,96017424,96230334,96328982,96505124,96665440,96815206,96854072,96932845,96993661,97467049,97959524,98176633,98674045,98875414,98906675,98933281,99058272,99104082,99225921,99278617,99455100,99677773,99725712,...,68789075920720421090575393524822374898499696329328200737474595287936546187684400751987331278729349651031491072888560641170145794974638553862746257991138621932261924868088021114254359802793544763547715658539181486004851684330264759585476313738452092430710332880179010689628603663929440355462219973106502877958547696022268232908533214247531260616379254857314883168403007878166456919465888126987886640494761581875967072473038053666311401546584768823018481578206183951087482593563421452743000462729133752369273027657729933522738538677786315075473996501376076284720979134612100313030208473750244401258713980025357767380322124776598127486613979534278161989234717213231345183514944373359205636145810525886543858274781522971337072199939844557109864513812187189704614386891476093613448853671523049343346876556380390608237651714259382201190692284604265589616222679381344633525501115743943826623342905574295335089415787523679138859961562267865166101961375315441374788122732036669058585843396941925136303974987563267998205394264170815537126311875744900686291242357725907423562294186209764275931375402873460405981510698969744034940700940025411477025184233032458942942755987856609196176435181755302722752805441778756607763957414037058952765733285658414937284411860086474356442760648324356992389643527738484020763713315824622549404407834153026068753056251628397674171118251870199261661871582629178768717185202661949260864680402023038480657214888549657974869280336185976062802722198680023305151227523192045898638119555884149024642738638498203582649534423732803958508267847675416882781830450486362572061862317451182467488582567272255264008352286398832990457090388714963017345396543406653452555025684382268351270289460842394900358138598280540161337996315002725395134363485541659455076343577863145750815948606237590280333341882582926263312934635848307059311589168675665994063064336050919101412171969774126313291796687798622993880674434610153681310619155195658177907707754695438148464757566168018307924788126264765238005277442048942365455598234292485480851482715943711667873876781158843001634392865618829121782053716262887027978388335180789385130535392077071721960576382918206395058695887012341161037374055045479834939272864902067041522006889707415803994021162165731085599807708177287021285281760041206638984620311970933230166058305772356795748579081393715405548840298262166633601925176877139422256774325193227852186932920952753016312241330419211832895710426350241955952281753263147336976301429884452613377081003800114503649803377153332526664537230251275877708360445088145680998803654904261941258011576585130787305528424807282875867205861597712775661082046782712874238867292300265000516997144960479555908250866390888373797777384448969906813035116494845357896485431239703822847905537640103656361832542646599292210209098174339415935202301329857242493797433247433681582365522122028746538636879643418620542723300422633659801213305470602868753311487392899661324195480042290578346171883306530377792754171859389574316973273986021243758673380007751485751685661345715076299947389994179649363113123986900698932829097249066039971645774294}
19536  48892047993785327882185046781037777802262400303936852760360170991890159: {97655,117186,565703,915983,1032599,1149143,1304423,1420799,1537103,1730783,2001599,2078903,2117543,2194799,2418124,2763746,2888663,3042503,3157799,3352108,3589288,3925466,4037949,4157378,4383143,4389146,4524232,4750924,5068799,5083586,5089761,5182823,5334743,6092423,6392392,6771599,7147799,7191441,7260503,7325608,7598183,7783293,8004748,8241309,8258248,8468428,8570063,8719103,8830799,8905223,8994266,9190312,9265825,9290529,9499463,9500872,9890049,9943799,10339101,10432168,10571303,10681799,10688481,10939343,11118990,11362888,11606665,11673023,11706124,11709623,11736189,11860256,12767543,12783249,12912808,13342788,13541786,13782599,13841992,13890983,13927998,13947505,13963199,14450241,14526909,14755463,15080008,15142953,15389068,15400799,15572241,15698305,15698632,16007848,16007903,16522429,16580950,16626088,16737006,16935112,16965009,17109023,17223628,17230065,17552968,17585306,17593149,17660961,17709599,18008829,18027325,18237599,18378736,18483383,18704349,18763799,18837966,18868823,19052001,19113599,19145186,19713448,19747089,19811546,19897140,20158199,20227583,20331599,20378545,20435543,20676078,20677799,20721705,20944225,21223616,21548605,21562792,21632790,21789868,22103152,22177629,22243778,22396799,22426150,22499303,22840463,23074976,23102152,23343578,23350703,23409832,23418599,23562201,23603470,23757599,23825303,23876568,24028223,24062188,24258141,24332488,24454254,24837023,24851918,24866046,25133070,25526809,25540943,25858326,25959348,25989921,26041583,26174783,26336061,26374343,26779468,26808608,26838863,26861139,26871983,26911380,26938199,27374049,27433799,27861863,27958105,28026143,28113969,28324164,28354103,28572506,28648583,28705472,28811903,28909799,29137943,29431905,30159684,30272783,30305063,30466343,30468808,30675073,30726746,31077383,31170705,31173599,31394032,31717463,31749383,32039665,32226146,32262573,32290799,32293656,32610472,32662929,32988023,33145943,33177503,33228745,33248752,33549726,33712799,34051281,34277409,34426461,34992026,35025383,35203778,35315788,35318286,35335823,35359432,35490743,35502740,35676383,35892599,36118705,36139223,36310862,36330363,36416063,36466870,36686781,36736765,37189192,37273199,37404846,37425599,37523546,37894461,38153186,38184599,38407825,38447598,38697863,38788199,39576873,39597983,39625288,39647905,39766828,39779361,39848505,39874494,39940150,40134599,40242626,40342583,40537768,40786943,41076993,41111663,41553505,41670263,41753512,41837841,41992343,42011949,42057092,42505072,42583465,42603288,42633599,42730946,43213199,43271752,43299863,43312065,43342446,43349786,43415303,43518937,43760244,43761626,43933199,44084118,44162543,44445513,44505599,44578449,44705183,44788706,44847503,45091528,45358199,45556103,45604989,45626665,45640799,45770950,46063105,46089390,46139366,46147463,46199536,46389388,46539743,46628378,46667193,46707383,46828588,46832066,46972701,47115325,47319599,47375063,47442266,47458199,47577486,47723421,47816872,47818206,47928180,47928699,47955503,48065663,48285599,48477623,48680721,48724168,49105799,49162016,49187423,49864206,50014225,50268863,50560993,50718200,50724599,50727969,50768428,50804783,51071543,51100158,51123392,51204623,51337705,51598150,51840623,51872660,51906205,51911662,51974478,52104263,52314599,52498223,52608489,52911325,53252008,53341393,53553352,53669303,53671778,53675665,53746799,53793981,53824223,53870426,54133199,54184583,54751998,54814689,54925140,55077801,55275726,55281599,55307268,55365609,55484063,55552108,55660799,55711223,55736423,55848986,56134893,56262568,56267533,56476105,56488703,56538390,56590653,57057975,57074721,57164488,57513816,57529799,57579023,57652799,57813146,58093943,58313543,58546113,58586816,58823423,58920143,58992599,59064983,59207582,59362150,59425823,59483905,59566792,59760983,59832599,59897721,59908509,60017070,60081560,60247521,60307616,60426599,60538778,60851183,60861840,61062503,61179623,61255165,61319903,61488889,61605246,61762223,61917780,62169910,62247192,62287446,62563912,63118509,63208199,63295389,63427778,63493590,63732748,63885599,63952943,64018208,64099321,64154543,64310049,64410798,64600223,64703043,64730193,64733303,64919296,64977332,65064743,65180950,65218799,65719905,65910168,65913380,65918063,65954665,66045632,66048263,66199799,66284378,66566183,67012641,67229378,67235833,67270799,67369825,67482599,67591755,67644328,67726496,67771326,67846068,67861823,67903799,68363423,68469570,68538952,68660305,68674583,69107183,69151065,69209663,69244417,69291503,69424521,69435505,69730888,69961799,70012705,70028091,70101232,70326472,70384401,70465549,70563599,70623383,70645358,70722863,70861799,71154249,71166505,71234580,71380686,71745599,71803943,72020484,72085346,72097872,72133199,72145549,72229990,72421799,72555863,72613199,72670463,72708599,72716665,73003432,73034208,73080733,73220173,73477209,73496524,73502063,73506198,73614263,73744799,73761136,74060183,74103800,74148939,74244623,74268093,74301336,74446583,74476826,74603892,74629343,74758828,74847599,75839545,75971752,75983552,76099869,76192308,76201990,76220663,76273199,76481378,76662746,76760063,76856908,77018303,77106321,77147005,77223599,77257703,77427743,77567426,77694124,77710065,77782223,77815799,77998089,78079705,78082004,78217140,78232799,78356649,78447249,78480599,78513503,78529943,78863886,79096056,79117281,79145598,79164863,79229512,79501703,79530865,79559673,79724303,79771799,79882343,79976783,80008199,80055263,80117903,80196023,80382190,80466375,80475599,80615308,80629799,80680150,80752583,80794466,80796001,80843790,80894001,81110106,81493463,81716423,81760799,81805103,82076078,82128861,82163484,82259889,82392366,82567106,82661783,82676063,82743578,82849105,82890736,82981278,83170823,83226743,83268913,83296463,83322606,83366775,83431616,83448026,83504423,83589003,83751599,83792543,83827293,83887799,83996183,84015246,84251543,84471145,84543688,84556799,84582260,84747313,84763948,84922703,85077599,85141799,85180223,85231343,85399806,85468221,85481496,85497623,85610663,85830800,86226863,86233376,86479703,86563199,86604712,86675988,86740799,86799599,87090599,87182663,87198529,87259998,87285623,87455783,87522145,87523343,87568223,87657599,87735383,87798626,87841270,87856823,87966383,88064303,88179153,88183103,88311599,88438943,88606943,88783199,88855103,88885799,88924560,88983063,89000666,89058383,89133201,89238599,89307983,89367143,89484599,89747905,89773199,89854946,89886623,90114124,90210863,90265463,90400703,90489863,90613343,90639599,90726599,90881183,90923663,90938113,91007454,91008023,91024799,91149599,91214306,91231799,91348305,91353599,91369703,91377743,91389529,91442388,91513199,91607423,91845503,91995023,92105063,92319743,92347823,92424383,92472599,92527223,92576406,92594783,92608199,92768968,92824760,92850623,92960665,93014423,93069863,93148799,93238199,93249983,93252078,93281725,93354568,93382348,93439799,93478943,93506663,93548545,93594023,93604799,93647272,93654781,93658199,93695646,93721223,93860568,93870049,93913199,93961799,94042583,94047263,94111943,94157183,94206023,94220950,94223543,94249583,94271063,94350863,94371383,94443599,94482599,94490303,94569263,94699799,94709903,94775423,94834703,94852864,94896863,94905026,94911143,94971599,94979543,94999009,95009548,95015663,95090063,95094599,95111649,95172743,95178599,95188199,95233199,95257041,95260943,95276183,95280599,95301599,95304263,95323223,95340383,95381063,95389799,95394503,95399663,95402152,95402906,95405543,95405903,95408783,95411423,95412599,95413463,95413823,95437038,96051190,96114529,96166683,96226924,96458628,96559586,96559650,96816180,97012548,97217378,97430301,97438192,98086150,98497406,99032089,99418926,99622873,99779272,99837105,...,103183613881080631635863090287233562347749544493992301106211892931904819281526601127980996918094024476547236609332840961755218692461957830794119386986707932898392887302132031671381539704190317145321573487808772229007277526495397139378214470607678138646065499320268516034442905495894160533193329959659754316937821544033402349362799821371296890924568882285972324752604511817249685379198832190481829960742142372813950608709557080499467102319877153234527722367309275926631223890345132179114500694093700628553909541486594900284107808016679472613210994752064114427081468701918150469545312710625366601888070970038036651070483187164897191229920969301417242983852075819847017775272416560038808454218715788829815787412172284457005608299909766835664796770718280784556921580337214140420173280507284574015020314834570585912356477571389073301786038426906398384424334019072016950288251673615915739935014358361443002634123681285518708289942343401797749152942062973162062182184098055003587878765095412887704455962481344901997308091396256223305689467813617351029436863536588861135343441279314646413897063104310190608972266048454616052411051410038117215537776349548688414414133981784913794264652772632954084129208162668134911645936121055588429148599928487622405926617790129711534664140972486535488584465291607726031145569973736933824106611751229539103129584377442596511256677377805298892492807373943768153075777803992923891297020603034557720985822332824486962303920504278964094204083298020034957726841284788068847957179333826223536964107957747305373974301635599205937762401771513125324172745675729543858092793476176773701232873850908382896012528429598249485685635583072444526018094815109980178832538526573402526905434191263592350537207897420810242006994472504088092701545228312489182614515366794718626223922909356385420500012823874389394969401953772460588967383753013498991094596504076378652118257954661189469937695031697934490821011651915230521965928732793487266861561632043157222697136349252027461887182189397147857007916163073413548183397351438728221277224073915567501810815171738264502451589298428243682673080574394330541967582502771184077695803088115607582940864574377309592588043830518511741556061082568219752408909297353100562283010334561123705991031743248596628399711562265930531927922640061809958476930467956399845249087458658535193622868622090573108323260447393249950402887765315709133385161487789841778280399381429129524468361995628817749343565639525362933928422629894721005464452144826678920065621505700171755474705065729998789996805845376913816562540667632218521498205482356392911887017364877696180958292637210924313800808792396569163491623070174069311358300938450397500775495717440719333862376299586332560696666076673454860219552674742268036844728146859555734271858306460155484542748813969898938315313647261509123902803451994785863740696149871150522373548283183043119807955319465127930814084950633950489701819958205904303129967231089349491986293220063435867519257824959795566689131257789084361475459910979031865638010070011627228627528492018572614449921084991269474044669685980351048399243645873599059957468661441}
19537  49083919666127714467417480224702288412322068242310383168183902762607880: {156248,175779,3022655,3140627,3627186,3958703,4076963,4145619,4190135,4311047,4486610,5028162,5383932,5593343,5655290,5830799,5888199,5938655,6236067,6298823,6409907,6583719,6786348,7126386,7225967,7295618,7625379,7932023,7990490,8041523,8313263,9128147,9157010,9215459,9588588,9867506,9942527,10005935,10270703,10322810,10377724,10384439,10585535,10738439,10988412,11271578,11298707,11487890,11876090,11900447,12007122,12111743,12254807,12387372,12702642,13040210,13186732,13195007,13415519,13491399,13736303,13785468,13891379,14006867,14203610,14237687,14251308,14547827,14632655,14818223,14825320,15172583,15358847,15434159,15648252,16081394,16141010,16574927,16678485,16899443,16947047,17044332,17249267,17302490,17387603,17509823,17559186,17573666,17790384,18570664,18850010,18867443,19216154,19236335,19256819,19266988,19340258,19369212,19623290,20009810,20014182,20139218,20190604,20214383,20312679,20483603,20619362,20730743,20762988,20782610,20891997,20892383,20976839,21168890,21290927,21529535,21941210,22006259,22316008,22330943,22550663,22620012,22703186,22973420,23083602,23280983,23457532,23547948,24011772,24133727,24497447,24641810,24871425,24939132,25105509,25117288,25402668,25502399,25835442,25944179,25990322,26004719,26109263,26119346,26234003,26329452,26377959,26529520,26644847,26660207,26828282,26953490,27009047,27150938,27237335,27469778,27568104,27628940,28256949,28534163,28679618,28717779,28843720,28877690,29092658,29262290,29570172,29642723,29717319,29845710,29856242,29967827,30077735,30415610,30939503,30956087,31014117,31114658,31416268,31835424,32028527,32344188,32449185,32540543,32605672,32641439,32684802,32760314,32854439,33154728,33365667,33474335,33510760,33639225,33999167,34401743,34477768,34528247,34612464,34653228,34672127,34771634,35015367,35114748,35405205,35470547,35499266,35568563,35792903,35814852,35881840,36093282,36498732,36534323,36681381,36722306,37191938,37261223,37277877,37299069,37485292,37699605,37765552,37773863,37862783,38029199,38086010,38135567,38509682,38787489,38939022,39198482,39242540,39302387,39455087,40169202,40212912,40353818,40367070,40424594,40763090,41043959,41457218,41560940,41780474,41839763,42439703,42486246,42633647,42858759,43016764,43058208,43157906,43319327,43550572,43622594,43976879,44007986,44144735,44199290,44306039,44378425,44511839,44732968,44967962,45239526,45401708,45703212,45707618,45797303,45901948,46090119,46486490,46595507,46790483,46859183,46945058,47091048,47576723,48003839,48174407,48254243,48339219,48440484,48540722,48915708,49229747,49474946,49531610,49708535,49873128,49975379,50018927,50324589,50448743,50525948,50672210,50972759,50999546,51039983,51179939,51263464,52120943,52191890,52472327,52488039,52571365,52769164,52805667,52973682,52977429,53039148,53131340,53165992,53254110,53371463,53571503,54089690,54466293,54700305,54743423,54769324,55702943,55783788,55953599,55969187,56015932,56107269,56285319,56364410,56629427,56697698,56767583,56804384,57229779,57671397,57749420,57789928,57986735,58133039,58346992,58432418,58535735,58651703,58778824,58792154,59032538,59188787,59260684,59298419,59437932,59629607,59650242,59771090,59811741,59910225,59971583,60363939,60806652,60905210,60962519,61014527,61163027,61291682,61338578,61452520,61535663,61953779,62222924,62630268,62794559,62887799,62891663,63085638,63397750,63436648,63460535,63494306,63631228,63757608,63878003,63904240,63904932,64050458,64096419,64357106,64371047,64540994,64840825,64902563,64907628,65013669,65024679,65640366,65642439,65702114,66045746,66126177,66150359,66475283,66485608,66547634,66565010,66619727,66677978,66941690,67183059,67637292,68133544,68656425,68949767,69134085,69209049,69261383,69299304,69325823,69440135,69584082,69637367,69881783,69942567,70144652,70242882,70248099,70328210,70619522,71163399,71366229,71380223,71455610,71725308,71727309,71892270,72529394,73002664,73045139,73086252,73233520,73250879,73437068,73700968,73743024,73820812,73975727,74179922,74458490,74796309,74846524,74948738,75051002,75101950,75384520,75454204,75779123,76077300,76099628,76152642,76295123,76650237,76685088,77397225,77678159,77808990,77867493,77961717,78061484,78169559,78203903,78204890,79152047,79517762,79665935,79863628,79878012,80022760,80330028,80483279,80507667,80805639,81057047,81149120,81172847,81221665,81237266,81685247,81941363,82127997,82140328,82279322,82387710,82391725,82557040,82913589,82960902,82996256,83049928,83316482,83328162,83476883,83730338,83773479,83926439,84158012,84393852,84490586,84555410,84658120,84807585,85258418,85544066,85673690,85746732,85881064,85882739,85890338,86270724,86306924,86349698,86401559,86640503,86719719,87100067,87163610,87306863,87626540,87880224,87908090,88680143,88811373,89014514,89043225,89199587,89350188,90025605,90122340,90276698,90361768,90461424,90808167,91033727,91124243,91254290,91292760,91398047,91585154,91870655,91884323,92171123,92201420,92407869,92549207,92566028,92629750,92876670,93181298,93254865,93370788,93431169,93448535,93502322,93672614,93845868,93852467,94172279,94690706,94872332,94964690,94979440,95141667,95174248,95240385,95303039,95599122,95688467,95859863,96027312,96071135,96130496,96447407,96616197,97117655,97203866,97286642,97378944,97465998,97602505,97711187,97771425,97969612,98008264,98381639,98603042,98865252,98870070,99024124,99036890,99068448,99288863,99426567,99471856,99478127,99668567,99940466,...,137578151841440842181150787049644749796999392658656401474949190575873092375368801503974662557458699302062982145777121282340291589949277107725492515982277243864523849736176042228508719605587089527095431317078362972009703368660529519170952627476904184861420665760358021379257207327858880710924439946213005755917095392044536465817066428495062521232758509714629766336806015756332913838931776253975773280989523163751934144946076107332622803093169537646036963156412367902174965187126842905486000925458267504738546055315459867045477077355572630150947993002752152569441958269224200626060416947500488802517427960050715534760644249553196254973227959068556323978469434426462690367029888746718411272291621051773087716549563045942674144399879689114219729027624374379409228773782952187226897707343046098686693753112760781216475303428518764402381384569208531179232445358762689267051002231487887653246685811148590670178831575047358277719923124535730332203922750630882749576245464073338117171686793883850272607949975126535996410788528341631074252623751489801372582484715451814847124588372419528551862750805746920811963021397939488069881401880050822954050368466064917885885511975713218392352870363510605445505610883557513215527914828074117905531466571316829874568823720172948712885521296648713984779287055476968041527426631649245098808815668306052137506112503256795348342236503740398523323743165258357537434370405323898521729360804046076961314429777099315949738560672371952125605444397360046610302455046384091797276239111768298049285477276996407165299068847465607917016535695350833765563660900972725144123724634902364934977165134544510528016704572797665980914180777429926034690793086813306905110051368764536702540578921684789800716277196561080322675992630005450790268726971083318910152687155726291501631897212475180560666683765165852526625869271696614118623178337351331988126128672101838202824343939548252626583593375597245987761348869220307362621238310391316355815415509390876296929515132336036615849576252529530476010554884097884730911196468584970961702965431887423335747753562317686003268785731237658243564107432525774055956776670361578770261070784154143443921152765836412790117391774024682322074748110090959669878545729804134083044013779414831607988042324331462171199615416354574042570563520082413277969240623941866460332116611544713591497158162787430811097680596524333267203850353754278844513548650386455704373865841905506032624482660838423665791420852700483911904563506526294673952602859768905226754162007600229007299606754306665053329074460502551755416720890176291361997607309808523882516023153170261574611056849614565751734411723195425551322164093565425748477734584600530001033994289920959111816501732781776747595554768897939813626070232989690715792970862479407645695811075280207312723665085293198584420418196348678831870404602659714484987594866494867363164731044244057493077273759286837241085446600845267319602426610941205737506622974785799322648390960084581156692343766613060755585508343718779148633946547972042487517346760015502971503371322691430152599894779988359298726226247973801397865658194498132079943291548588}
19538  49276538966009942826436496596787944388147195499796700526892791886055164: {136717,195310,234372,604717,721537,1131406,1188097,1304557,1831966,1885777,2065198,2117761,2298286,2608846,2841598,2927437,3042817,3074206,3461566,4003198,4157806,4235086,4389598,4421761,4836248,5221357,5440779,5527492,5777326,5903917,6085006,6315598,6357517,6704216,6729915,7178576,7542243,7598977,7850932,8075898,8314756,8482935,8720017,8766286,8778292,9048464,9277837,9501848,10137598,10167172,10179522,10365646,10669486,10689579,10943427,11710861,11985735,12184846,12784784,12972155,13543198,13735515,14109037,14295598,14382882,14521006,14651216,14801259,15196366,15484215,15566586,16009496,16045261,16249331,16365697,16482618,16483415,16516496,16907367,16936856,17140126,17231835,17438206,17661598,17810446,17814135,17988532,18010683,18380624,18485377,18531650,18581058,18905857,18998926,19001744,19053963,19526507,19560315,19780098,19887598,20056237,20678202,20864336,21142606,21305415,21363598,21376962,21507757,21878686,21977627,22237980,22535917,22638337,22725776,22842961,23213330,23346046,23412248,23419246,23472378,23720512,24064657,24083735,24122091,24165997,24211515,25238255,25535086,25566498,25825616,25953735,26338779,26360499,26685576,26874961,27083572,27565198,27683984,27781966,27855996,27864961,27895010,27926398,28160557,28275015,28357261,28529963,28716775,28824231,28847761,28900482,29010387,29053818,29141197,29321915,29434935,29510926,29628817,30014715,30021273,30160016,30168047,30208827,30285906,30308461,30778136,30801598,30929043,31080877,31144482,31173915,31396610,31397264,31561297,31752961,31753335,31944337,32015696,32015806,32421517,32911815,33044858,33161900,33181261,33252176,33474012,33870224,33930018,34054779,34218046,34447256,34460130,34536175,34625403,34873837,35060461,35105936,35170612,35186298,35321922,35419198,35525761,36017658,36054650,36252359,36450961,36475198,36757472,36962715,36966766,37185937,37408698,37527598,37551697,37675932,37737646,37825261,38104002,38227198,38290372,38461057,38732461,38753163,38985483,39141347,39179019,39270335,39363217,39426896,39494178,39623092,39794280,40242423,40316398,40347277,40430235,40455166,40663198,40702957,40726407,40757090,40871086,41204667,41352156,41355598,41443410,41888450,42447232,43019427,43097210,43125584,43265580,43316535,43333837,43420417,43579736,43638987,43893435,44206304,44282257,44355258,44487556,44768565,44784363,44793598,44852300,44855531,44881261,44998606,45561517,45623415,45680926,46149952,46204304,46520243,46671987,46687156,46701406,46740877,46819664,46824577,46837198,46856615,47124402,47206940,47515198,47650606,47753136,48056446,48071437,48124376,48516282,48664976,48908508,49027203,49053175,49140471,49220557,49674046,49703836,49732092,49870861,50266140,50436097,50566187,51053618,51081886,51237457,51431471,51716652,51873361,51918696,51951175,51979842,52083166,52157451,52349566,52672122,52748686,53209357,53248899,53558936,53617216,53675917,53677726,53722278,53743966,53770955,53822760,53876398,54139923,54438215,54748098,54867598,55083459,55507067,55723726,55743361,55787907,55916210,56052286,56227938,56648328,56708206,56720077,56752135,57129015,57145012,57297166,57377435,57410944,57623806,57758317,57764523,57819598,57831937,58174907,58275886,58408533,58797723,58863810,59616851,60253803,60319368,60530727,60545566,60550605,60610126,60636891,60717697,60858961,60932686,60937616,61144635,61210861,61350146,61351117,61453492,62154766,62185827,62341410,62347198,62462797,62670711,62788064,63157435,63284461,63420397,63434926,63498766,63729369,63877331,64079330,64162897,64452292,64488347,64525146,64581598,64587312,64630861,64736859,64763917,65095297,65220944,65325858,65433891,65490577,65948461,65961455,65976046,66011979,66291886,66298935,66355006,66414175,66457490,66497504,67099452,67109677,67425598,67451943,67744717,67859289,68102562,68461655,68554818,68561427,68621677,68852922,69239437,69729735,69984052,70019915,70050766,70333261,70407556,70417587,70631576,70636572,70671646,70718864,70752337,70981486,71005480,71352766,71785198,71813761,71872787,72186775,72237410,72278446,72565837,72621724,72660726,72668687,72811083,72832126,72933740,73249261,73373562,73418497,73473530,73643137,73699117,73810861,74075855,74212419,74297415,74378384,74530177,74546398,74809692,74851198,75047092,75145931,75753743,75788922,76008315,76306372,76369198,76499319,76615117,76815650,76895196,77390819,77395726,77438797,77576398,77778655,78287835,78541261,79066547,79153746,79195966,79250576,79272961,79295810,79460523,79513261,79533656,79539035,79558722,79697010,79748988,79880300,79881165,79893997,80082637,80129617,80223361,80269198,80485252,80685166,81075536,81134535,81573886,81834311,82125457,82153986,82223326,82688461,82773997,82901761,83028877,83107010,83197357,83277467,83340526,83507024,83675682,83818897,83859757,83941261,83984686,84023898,84114184,84546615,84935761,85010144,85046547,85166930,85206157,85206576,85267198,85461892,85510861,85757231,86069761,86368139,86426398,86505217,86543504,86599726,86624130,86684892,86699572,86830606,86860177,87037874,87480961,87520488,87523252,87548497,87648627,87680815,87716077,87749377,87866398,87914797,88168236,88188231,88325086,88463761,88548807,88621261,88891026,89011198,89022337,89156898,89322577,89410366,89475363,89577412,89656635,89695006,90183056,90234961,90716398,91112206,91148461,91209978,91222657,91253330,91281598,91357815,91393261,91541900,91796335,91937523,92007867,92126210,92128237,92178780,92276015,92278732,92294926,92336531,92342797,92399072,92651137,92778776,92999761,93037057,93079486,93237037,93256756,93334386,93414766,93495697,93528961,93558155,93610861,93657176,93664132,93738157,93945402,94022017,94064461,94133761,94174477,94230650,94240897,94305517,94317755,94628457,94639198,94655437,94747777,94750126,94796557,94852717,94884532,94916398,94997761,95087617,95096625,95124535,95154972,95241459,95294977,95324461,95414317,95425261,95431057,95433361,95446842,95486183,95633744,95636412,95856360,95857398,95911006,96075687,96124427,96131326,96535659,96571198,96811491,96955246,97209707,97361442,97448336,97576855,98017787,98211598,98324032,98374846,98460549,98553171,99068619,99633107,99728412,99821451,99829535,99847515,...,206367227762161263271726180574467124695499088987984602212423785863809638563053202255961993836188048953094473218665681923510437384923915661588238773973415865796785774604264063342763079408380634290643146975617544458014555052990794278756428941215356277292130998640537032068885810991788321066386659919319508633875643088066804698725599642742593781849137764571944649505209023634499370758397664380963659921484284745627901217419114160998934204639754306469055444734618551853262447780690264358229001388187401257107819082973189800568215616033358945226421989504128228854162937403836300939090625421250733203776141940076073302140966374329794382459841938602834485967704151639694035550544833120077616908437431577659631574824344568914011216599819533671329593541436561569113843160674428280840346561014569148030040629669141171824712955142778146603572076853812796768848668038144033900576503347231831479870028716722886005268247362571037416579884686803595498305884125946324124364368196110007175757530190825775408911924962689803994616182792512446611378935627234702058873727073177722270686882558629292827794126208620381217944532096909232104822102820076234431075552699097376828828267963569827588529305545265908168258416325336269823291872242111176858297199856975244811853235580259423069328281944973070977168930583215452062291139947473867648213223502459078206259168754885193022513354755610597784985614747887536306151555607985847782594041206069115441971644665648973924607841008557928188408166596040069915453682569576137695914358667652447073928215915494610747948603271198411875524803543026250648345491351459087716185586952353547402465747701816765792025056859196498971371271166144889052036189630219960357665077053146805053810868382527184701074415794841620484013988945008176185403090456624978365229030733589437252447845818712770841000025647748778789938803907544921177934767506026997982189193008152757304236515909322378939875390063395868981642023303830461043931857465586974533723123264086314445394272698504054923774364378794295714015832326146827096366794702877456442554448147831135003621630343476529004903178596856487365346161148788661083935165005542368155391606176231215165881729148754619185176087661037023483112122165136439504817818594706201124566020669122247411982063486497193256799423124531861063855845280123619916953860935912799690498174917317070387245737244181146216646520894786499900805775530631418266770322975579683556560798762858259048936723991257635498687131279050725867856845259789442010928904289653357840131243011400343510949410131459997579993611690753827633125081335264437042996410964712785823774034729755392361916585274421848627601617584793138326983246140348138622716601876900795001550991434881438667724752599172665121393332153346909720439105349484536073689456293719111468543716612920310969085497627939797876630627294523018247805606903989571727481392299742301044747096566366086239615910638930255861628169901267900979403639916411808606259934462178698983972586440126871735038515649919591133378262515578168722950919821958063731276020140023254457255056984037145228899842169982538948089339371960702096798487291747198119914937322882}
19539  49469908785832742224548016735949400178484457855782726100542394252978502: {292965,312496,351558,1697109,2747949,3097797,3447429,3913269,4231717,4262397,4611309,4818229,5192349,5866189,6004797,6045310,6236709,6281254,6352629,6584397,6909365,7039861,7254372,7917406,8153926,8291238,8314117,8380270,8622094,8665989,8973220,9127509,9374209,9473397,9813665,10056324,10393445,10767864,10890997,10972865,11186686,11310580,11479021,11661598,11776398,11877310,12113847,12472134,12597646,12635381,12708965,12819814,13149429,13167438,13572696,13696549,14008309,14252772,14451934,14591236,14819749,15195917,15206397,15250758,15269283,15548469,15864046,15912709,15980980,16004229,16083046,16626526,17541569,18256294,18277269,18314020,18430918,18717397,19177176,19521389,19735012,19885054,19972069,20011870,20314797,20485717,20541406,20645620,20755448,20768878,21045989,21171070,21443397,21476878,21574323,21583397,21781509,21976824,22333237,22485665,22543156,22597414,22794549,22858517,22975780,23148641,23349879,23725397,23752180,23800894,24014244,24223486,24499969,24509614,24723927,24774744,25405284,25710189,26007397,26080420,26157309,26373464,26390014,26403149,26492397,26528069,26715669,26831038,26930869,26972989,26982798,27472606,27513889,27570936,27782758,27797475,27871587,28013734,28407220,28475374,28498389,28502616,29095654,29180941,29222237,29265310,29402129,29636446,29650640,29670147,29831397,29905409,30141349,30345166,30717694,30868318,31017303,31296504,31713909,31762181,32045397,32065443,32162788,32282020,32707217,32818029,33149854,33345857,33356970,33798886,33854465,33894094,34088664,34498534,34604980,34775206,34819995,35019069,35019646,35032309,35118372,35128869,35147332,35208567,35580768,35796589,36774277,37097597,37141328,37700020,37734886,37999069,38132269,38302629,38349747,38432308,38472670,38513638,38533976,38680516,38738424,39246580,39767069,40019620,40028364,40278436,40378957,40381208,40428766,40625358,40967206,41238724,41347797,41452375,41461486,41525976,41565220,41672949,41783994,41784766,41842515,41889597,41953678,42108829,42337780,42581854,43059070,43183757,43350723,43580727,43878337,43882420,43963265,44012518,44266389,44632016,44661886,45101326,45240024,45406372,45428859,45946840,46167204,46202397,46561966,46716723,46760789,46864069,46915064,47094915,47095896,47581621,47862965,48023544,48023709,48194597,48267454,48506497,48994894,49071809,49283620,49528865,49567287,49742850,49878264,50125601,50211018,50234576,50428397,50710781,50805336,50895027,51004798,51185221,51327069,51670884,51690195,51888358,51980644,52009438,52218526,52238692,52468006,52477729,52658904,52755918,52779447,52982883,53059040,53128797,53289694,53320414,53656564,53887709,53906980,54018094,54026487,54081975,54301876,54474670,54587297,54712797,54939556,55136208,55257880,55450149,55609445,55974949,56065375,56113047,56291397,56513898,56551997,56606469,56773429,56987381,57068326,57156003,57340797,57359236,57435558,57687440,57755380,58185316,58358945,58524580,59008675,59140344,59241267,59285446,59434638,59691420,59712484,59935654,60155470,60207509,60474597,60682749,60748229,60831220,60968797,60994797,61063229,61135635,61306629,61802629,61879006,61912174,62028234,62033397,62129795,62165115,62229316,62832536,62832675,63670848,64057054,64645815,64688376,64807877,64898370,65081086,65211344,65282878,65369604,65520628,65708878,65959549,66309456,66532887,66731334,66948670,66988757,67021520,67190397,67278450,67497909,67604501,67998334,68521389,68803486,68955536,69056494,69224928,69306456,69315649,69344254,69543268,69591949,70030734,70052109,70229496,70255797,70686603,70810410,70941094,70998532,71137126,71272797,71431265,71475909,71585806,71629704,71763680,72084669,72186564,72250657,72774423,72997464,73068646,73213877,73362762,73444612,73599911,73620821,74383876,74511069,74522446,74555754,74598138,74970584,75399210,75531104,75547726,75725566,76058398,76172020,76271134,76302997,76403729,76580427,76622829,76703029,76816865,76968929,77019364,77409781,77574978,77878044,77969763,78124749,78177697,78396964,78485080,78524349,78604774,78910174,79008183,79123029,80338404,80425824,80516589,80565365,80583417,80615949,80707636,80734140,80814597,80849188,81162749,81181429,81526180,81895781,81950029,82087918,82122147,82301397,82914436,83121880,83560948,83585589,83679526,83874315,84078429,84341907,84879406,84972492,85062309,85068317,85267294,85353797,85717518,85945749,86033528,86106989,86116416,86315812,86435709,86638654,86729397,87101144,87245188,87413829,87480065,87534389,87953758,88009445,88015972,88289470,88295715,88398580,88612078,88756850,88844749,89023678,89465936,89935924,90479052,90777155,90803416,90818349,90866869,90915189,91167175,91399029,91406424,91415236,91594606,91803896,92025219,92049077,92180238,92972980,93191014,93232149,93512115,93520797,93580966,93718366,93808865,93890116,94182096,94231181,95152389,95153446,95248149,95382965,96007678,96118995,96348814,96508486,96678438,96787719,96872397,96880968,97081444,97216189,97831416,97988787,98459494,98949892,98964069,99063220,99113101,99417070,99437829,99532509,99686235,99746256,99850375,99950758,...,309550841643241894907589270861700687043248633481976903318635678795714457844579803383942990754282073429641709827998522885265656077385873492382358160960123798695178661906396095014144619112570951435964720463426316687021832579486191418134643411823034415938196497960805548103328716487682481599579989878979262950813464632100207048088399464113890672773706646857916974257813535451749056137596496571445489882226427118441851826128671241498401306959631459703583167101927827779893671671035396537343502082281101885661728624459784700852323424050038417839632984256192343281244406105754451408635938131876099805664212910114109953211449561494691573689762907904251728951556227459541053325817249680116425362656147366489447362236516853371016824899729300506994390312154842353670764741011642421260519841521853722045060944503711757737069432714167219905358115280719195153273002057216050850864755020847747219805043075084329007902371043856556124869827030205393247458826188919486186546552294165010763636295286238663113367887444034705991924274188768669917068403440852053088310590609766583406030323837943939241691189312930571826916798145363848157233154230114351646613329048646065243242401945354741382793958317898862252387624488004404734937808363166765287445799785462867217779853370389134603992422917459606465753395874823178093436709921210801472319835253688617309388753132327789533770032133415896677478422121831304459227333411978771673891061809103673162957466998473460886911761512836892282612249894060104873180523854364206543871538001478670610892323873241916121922904906797617813287205314539375972518237027188631574278380428530321103698621552725148688037585288794748457056906749217333578054284445329940536497615579720207580716302573790777051611623692262430726020983417512264278104635684937467547843546100384155878671768728069156261500038471623168184908205861317381766902151259040496973283789512229135956354773863983568409813085095093803472463034955745691565897786198380461800584684896129471668091409047756082385661546568191443571023748489220240644550192054316184663831672221746702505432445515214793507354767895284731048019241723182991625902747508313552233087409264346822748822593723131928777764131491555535224668183247704659257226727892059301686849031003683371117973095229745789885199134686797791595783767920185429875430791403869199535747262375975605580868605866271719324969781342179749851208663295947127400155484463369525334841198144287388573405085986886453248030696918576088801785267889684163016393356434480036760196864517100515266424115197189996369990417536130741449687622002896655564494616447069178735661052094633088542874877911632772941402426377189707490474869210522207934074902815351192502326487152322158001587128898758997682089998230020364580658658024226804110534184440578667202815574919380466453628246441909696814945940941784527371708410355984357591222088449613451567120644849549129359423865958395383792442254851901851469105459874617712909389901693268048475958879660190307602557773474879386700067393773367253084426379732937095596914030210034881685882585476055717843349763254973808422134009057941053145197730937620797179872405984323}
19540  49664032029107184462460065007996962307455503078850433208912870436907013: {273434,390620,468744,527337,1209434,1382299,1443074,1614931,2079331,2195251,2262812,2376194,2609114,2658211,2889259,3235291,3663932,3771554,4130396,4235522,4596572,4612939,4841539,5217692,5411779,5683196,5854874,6085634,6148412,6885979,6923132,7337131,7674739,8006396,8011699,8315612,8470172,8779196,8795419,8843522,8907091,9067965,9421881,9575611,9672496,9686779,10442714,10881558,11054984,11216525,11235571,11554652,11807834,11876109,12114259,12170012,12230889,12436857,12570405,12631196,12715034,12933141,13206139,13408432,13459830,13966171,14138225,14357152,14938171,15084486,15153379,15197954,15368299,15475651,15690139,15701864,16151796,16629512,16780029,16965870,17440034,17492397,17532572,17556584,17607571,17664597,17713411,17815965,18096928,18161017,18239045,18555674,18708201,18872899,18896469,19003696,19229721,19751157,19976225,20231971,20275196,20334344,20359044,20731292,21338972,21379158,21677901,21785011,21886854,22504219,22876137,22892525,23076781,23421722,23423731,23525539,23796069,23830531,23971470,24124569,24369692,24668765,24939789,25546579,25569568,25807025,25944310,25963817,26247139,26745379,26944171,27043459,27086396,27384441,27471030,27646377,27933811,28032379,28178945,28218074,28425931,28591196,28719725,28720339,28765764,29014099,29042012,29302432,29307211,29602518,29690225,29827581,30017805,30392732,30812109,30859531,30968430,31133172,31153317,31756605,32018992,32090522,32107219,32215317,32498662,32600525,32731394,32965236,32966830,33032992,33058699,33717229,33720451,33814734,33873712,33896121,34002979,34280252,34463670,34876412,35323196,35333557,35509025,35620892,35628270,35701341,35977064,36021366,36055051,36147499,36335229,36761248,36764421,36970754,37063300,37162116,37434211,37811714,37997852,38003488,38107926,38253931,38344651,39053014,39120630,39560196,39585021,39775196,39786379,40112474,40113557,40143931,40203485,40246557,40352525,40411339,40474197,40500331,40855579,41050681,41208909,41356404,41386291,41474491,41674137,41728672,41738659,41826571,42020601,42285212,42610830,42713061,42727196,42753924,42843697,43015514,43256225,43643481,43757372,43897965,43934165,43955254,44172979,44454669,44475960,44858131,45071834,45276674,45451552,45517749,45623419,45685922,45877219,46076541,46214611,46302477,46426660,46550851,46692092,46824496,46838492,46944756,47125025,47386411,47441024,47967019,48040385,48129314,48167470,48244182,48331994,48350645,48379579,48423030,49058225,49724781,49768819,50024525,50035455,50348045,50476510,50698329,50817139,50841141,51070172,51132996,51217099,51548405,51651232,51747801,51907470,51956525,52162809,52169659,52529469,52563499,52677558,52720998,52922225,53371152,53749922,53889091,54167144,54197971,54853025,54978469,55041451,55130396,55367968,55497859,55563932,55711992,55725091,55729922,55790020,55852796,56321114,56550030,56552731,56602329,56627539,56714522,56757965,57059926,57149179,57433550,57593491,57648462,57695522,57709005,57770457,57800964,58020774,58107636,58108579,58282394,58643830,58869870,59021852,59257634,59416891,59560819,59847811,60029430,60042546,60320032,60336094,60417654,60571812,60616922,60643149,60938037,61125019,61450809,61556272,61603196,61604525,61858086,62032939,62161754,62192229,62288964,62309851,62347830,62675991,62677149,62793220,62794528,62930517,62997091,63065419,63122594,63505922,63506670,63609451,63744739,63872781,63888674,63947131,64031392,64031612,64550419,64588605,64843034,64883059,64975805,65015611,65213899,65298365,65599261,65823630,66018777,66089716,66323800,66362522,66504352,66519259,66712579,66948024,66992829,67070705,67224931,67288651,67383725,67651989,67740448,67860036,67877345,67921891,68109558,68386901,68436092,68547931,68674445,68894512,68920260,69072350,69166771,69228259,69250806,69473491,69747674,69842949,70120922,70211872,70341224,70372596,70622611,70643844,70682371,70742059,70838396,70920691,71051522,71452699,71699045,71920699,72035316,72109300,72194225,72401181,72504718,72728611,72731645,72899899,72901922,72950396,73155725,73183939,73492341,73514944,73925430,73933532,74136211,74302099,74371874,74614275,74640605,74817396,74904811,75055196,75103394,75279337,75316527,75351864,75445171,75475292,75650522,75765931,76039025,76189579,76208004,76213501,76242211,76454396,76507197,76580744,76922114,77074531,77279731,77464922,77483779,77506326,77786645,77832537,77838091,77970966,78014157,78282694,78327789,78358038,78387739,78536131,78540670,78702009,78726434,78853792,78977419,78988356,79133877,79220059,79246184,79452989,79556731,79588560,79934541,79980621,80031571,80078659,80172619,80328409,80484846,80632796,80684251,80694554,80860470,80910332,81027141,81141811,81326396,81405914,81452814,81514180,81636811,81712005,81742172,81900785,81903139,82297771,82409334,82514491,82704312,82711196,82729411,82886820,83405059,83488219,83571091,83776900,83777011,83822189,84021739,84701059,84770847,84894464,85283179,85397659,85602489,86038854,86144299,86153337,86194420,86251168,86531160,86633070,86667674,86791651,86840834,86929085,87037099,87159472,87210259,87277974,87618499,87785539,87786870,87851851,88016371,88340011,88412608,88420409,88467451,88564514,88710516,88748165,88811971,88904419,88928169,88975112,89151957,89537130,89568726,89587196,89704600,89711062,89762522,89903481,89991331,89997212,90233205,90295459,90430819,90564379,90774331,90928771,91055491,91123034,91246830,91279051,91361852,91400731,91461877,91662091,91731859,91805765,91892131,91982131,92026699,92299904,92346037,92408608,92559499,92640571,92720491,92818509,92818771,92868261,92896099,92979845,93040486,93042351,93047299,93283171,93343974,93374312,93402812,93473251,93481754,93490099,93638491,93639328,93649154,93674396,93702571,93713230,93872851,93932611,94248804,94266979,94292971,94394059,94413880,94525531,94571179,94604659,94752331,94782139,94876819,94921459,95030396,95131411,95138179,95158051,95170939,95213779,95215025,95225371,95293699,95298451,95301212,95342011,95357419,95364691,95368219,95396731,95446339,95452459,95506272,95749457,95846317,96085581,96112892,96142874,96248752,96274205,96625397,97032564,97329952,97347555,97621629,97817016,97924317,97996205,98027881,98054406,98106350,98280942,98441114,98563317,99348092,99407672,99464184,99741722,...,412734455524322526543452361148934249390998177975969204424847571727619277126106404511923987672376097906188946437331363847020874769847831323176477547946831731593571549208528126685526158816761268581286293951235088916029110105981588557512857882430712554584261997281074064137771621983576642132773319838639017267751286176133609397451199285485187563698275529143889299010418047268998741516795328761927319842968569491255802434838228321997868409279508612938110889469237103706524895561380528716458002776374802514215638165946379601136431232066717890452843979008256457708325874807672601878181250842501466407552283880152146604281932748659588764919683877205668971935408303279388071101089666240155233816874863155319263149648689137828022433199639067342659187082873123138227686321348856561680693122029138296060081259338282343649425910285556293207144153707625593537697336076288067801153006694463662959740057433445772010536494725142074833159769373607190996611768251892648248728736392220014351515060381651550817823849925379607989232365585024893222757871254469404117747454146355444541373765117258585655588252417240762435889064193818464209644205640152468862151105398194753657656535927139655177058611090531816336516832650672539646583744484222353716594399713950489623706471160518846138656563889946141954337861166430904124582279894947735296426447004918156412518337509770386045026709511221195569971229495775072612303111215971695565188082412138230883943289331297947849215682017115856376816333192080139830907365139152275391828717335304894147856431830989221495897206542396823751049607086052501296690982702918175432371173904707094804931495403633531584050113718392997942742542332289778104072379260439920715330154106293610107621736765054369402148831589683240968027977890016352370806180913249956730458061467178874504895691637425541682000051295497557579877607815089842355869535012053995964378386016305514608473031818644757879750780126791737963284046607660922087863714931173949067446246528172628890788545397008109847548728757588591428031664652293654192733589405754912885108896295662270007243260686953058009806357193712974730692322297577322167870330011084736310783212352462430331763458297509238370352175322074046966224244330272879009635637189412402249132041338244494823964126972994386513598846249063722127711690560247239833907721871825599380996349834634140774491474488362292433293041789572999801611551061262836533540645951159367113121597525716518097873447982515270997374262558101451735713690519578884021857808579306715680262486022800687021898820262919995159987223381507655266250162670528874085992821929425571647548069459510784723833170548843697255203235169586276653966492280696277245433203753801590003101982869762877335449505198345330242786664306693819440878210698969072147378912587438222937087433225840621938170995255879595753261254589046036495611213807979143454962784599484602089494193132732172479231821277860511723256339802535801958807279832823617212519868924357397967945172880253743470077031299839182266756525031156337445901839643916127462552040280046508914510113968074290457799684339965077896178678743921404193596974583494396239829874645764}
19541  49858911610497056899749300909614254712695877763680070630245699829478352: {19541,410151,488275,585930,624992,703116,1814151,2164611,2828515,3394218,3564291,3913671,4579915,4935271,5162995,5495898,5637523,5657331,5745715,6195594,6220819,6353283,6522115,6894858,7103995,7624891,7685515,7826538,8463434,8524794,8653915,8782311,8789539,9128451,9222618,9636458,9673111,10007995,10072711,10384698,10394515,10587715,10973995,11355091,11732378,12009594,12090620,12473418,12562508,12636679,12705258,12999163,13063699,13168794,13265283,13579651,13739131,13818730,14079722,14344231,14443315,14508744,14550823,14932723,15212515,15362011,15562123,15623971,15664071,15788995,15834812,16307852,16322337,16385203,16582476,16628234,16760540,17244188,17331978,17543371,17711751,17755111,17792551,17946440,17958811,18255018,18366811,18748418,18946794,19032739,19072551,19605283,19627330,20112648,20183131,20189745,20735011,20786890,21048151,21535728,21585619,21781994,21818023,21915715,21945730,22010791,22161523,22373372,22621160,22626729,22796931,22860871,22958042,23151019,23285779,23323196,23552796,23754620,24135331,24227694,24277843,24745099,24944268,25195292,25270762,25343995,25417930,25448805,25507651,25639628,25914115,26160051,26298858,26334876,26673715,27014611,27105991,27145392,27298171,27393098,27431251,27833511,28016618,28357591,28505544,28903868,29182472,29525371,29639498,29648839,30391834,30412794,30462115,30501516,30538566,31096938,31479931,31728092,31756951,31765459,31825418,31961960,31967851,32008458,32035123,32068737,32166092,32188519,32830281,32861203,33253052,33349291,33457171,33835723,33857995,34006171,34302691,34535371,35083138,35132583,35319523,35738995,35957205,36302515,36512588,36554538,36628040,36861836,37268899,37434794,37537123,37990915,38354352,38916465,39042778,39470024,39770108,39771163,39944138,40023740,40029019,40629594,40971434,41082812,41206545,41291240,41510896,41537756,41894611,42091978,42258331,42327111,42342140,42850315,42886794,42953756,42958423,43148646,43166794,43328251,43563018,43595515,43953648,44153995,44403777,44521003,44526115,44666474,44839399,44971330,45086312,45105691,45152323,45194828,45589098,45717034,45951560,46297282,46329125,46452645,46699758,46765603,47027779,47396251,47450794,47497315,47504360,47601788,48028488,48135783,48264199,48427531,48446972,48619219,48747993,48999938,49019228,49097091,49447854,49450245,49549488,49718995,49730491,49985671,50130763,50722101,50810568,51050491,51135139,51420378,51695505,52014794,52160840,52314618,52746928,52780028,52806298,52856515,52984794,53056138,53382451,53408995,53431338,53442405,53582539,53662076,53861738,53945978,53965596,54032049,54484771,54696715,54844963,54945212,55027778,55141872,55456131,55565516,55594950,55714411,55739431,55743174,56027468,56557819,56641111,56717571,56814440,56950748,56957251,56996778,57005232,57161889,57411079,58033325,58145011,58191308,58361882,58365115,58413031,58444474,58530620,58548115,58579521,58680945,58804258,59272892,59301280,59310631,59340294,59498659,59641891,59662794,59810818,59930923,60168711,60282698,60690332,60754483,61069531,61175623,61332883,61435388,61548571,61736636,61954663,62000851,62034606,62593008,62774251,62807491,62904619,63427818,63524362,63837715,63916245,64090794,64130886,64325576,64359751,64523271,64564040,64814551,65414434,65636058,65748199,65932881,66076051,66299708,66633451,66691714,66713940,66995731,67008151,67348723,67597772,67607751,67611463,67708930,67788188,67915011,68177328,68528883,68912995,68963971,68997068,69209960,69340411,69454915,69550412,69639990,69737525,69815995,69896179,70038138,70039292,70064618,70236744,70257738,70294664,70417134,71161536,71593178,72193971,72251205,72366273,72497991,72509011,72634545,73066171,73170091,73221511,73548554,73628419,73635859,73777315,74195194,74282656,75400040,75469772,75714765,75998138,76264538,76605258,76699494,76864616,76945340,77003995,77027276,77067952,77165731,77361031,77361032,77476848,77853223,77861205,78092563,78491525,78493160,78601171,78698119,79016337,79081497,79168531,79534138,80039240,80039515,80056728,80556872,80624883,80757914,80762416,80857532,81073771,81250716,81702523,81904339,81934412,82237891,82277131,82477448,82612145,82695594,82904750,82922972,83051952,83130440,83345898,83567988,83569532,83594883,83685030,83779194,83907356,84177523,84217658,84481671,84675560,84825045,85071783,85163708,85392403,85545115,85589889,86025379,86118140,86150325,86367514,86472693,86525491,86543283,86658379,86701446,86981713,87031161,87161454,87423591,87756674,87764840,87926530,87965745,88025036,88304805,88423063,88532778,88547995,88886451,89217991,89264032,89323772,89819971,90044145,90063819,90136625,90202652,90437383,90480048,90504141,90626481,90812744,90857718,90925383,91187995,91893680,92300071,92334408,92404794,92416915,92787129,93010951,93123932,93242631,93433446,93521578,93521745,93728138,93818995,93830128,93871831,93900931,94189830,94191792,94241059,94344115,94683891,95163242,95258883,95260005,95567995,95725930,95789611,95833011,95879971,96047088,96047418,96237223,96389194,96534908,96698899,96785923,97012994,97264551,97497223,97989788,98143618,98567240,98735445,99057730,99134574,99485700,99543783,99689131,99756528,...,619101683286483789815178541723401374086497266963953806637271357591428915689159606767885981508564146859283419655997045770531312154771746984764716321920247597390357323812792190028289238225141902871929440926852633374043665158972382836269286823646068831876392995921611096206657432975364963199159979757958525901626929264200414096176798928227781345547413293715833948515627070903498112275192993142890979764452854236883703652257342482996802613919262919407166334203855655559787343342070793074687004164562203771323457248919569401704646848100076835679265968512384686562488812211508902817271876263752199611328425820228219906422899122989383147379525815808503457903112454919082106651634499360232850725312294732978894724473033706742033649799458601013988780624309684707341529482023284842521039683043707444090121889007423515474138865428334439810716230561438390306546004114432101701729510041695494439610086150168658015804742087713112249739654060410786494917652377838972373093104588330021527272590572477326226735774888069411983848548377537339834136806881704106176621181219533166812060647675887878483382378625861143653833596290727696314466308460228703293226658097292130486484803890709482765587916635797724504775248976008809469875616726333530574891599570925734435559706740778269207984845834919212931506791749646356186873419842421602944639670507377234618777506264655579067540064266831793354956844243662608918454666823957543347782123618207346325914933996946921773823523025673784565224499788120209746361047708728413087743076002957341221784647746483832243845809813595235626574410629078751945036474054377263148556760857060642207397243105450297376075170577589496914113813498434667156108568890659881072995231159440415161432605147581554103223247384524861452041966835024528556209271369874935095687092200768311757343537456138312523000076943246336369816411722634763533804302518080993946567579024458271912709547727967136819626170190187606944926069911491383131795572396760923601169369792258943336182818095512164771323093136382887142047496978440481289100384108632369327663344443493405010864891030429587014709535790569462096038483446365983251805495016627104466174818528693645497645187446263857555528262983111070449336366495409318514453455784118603373698062007366742235946190459491579770398269373595583191567535840370859750861582807738399071494524751951211161737211732543438649939562684359499702417326591894254800310968926739050669682396288574777146810171973772906496061393837152177603570535779368326032786712868960073520393729034201030532848230394379992739980835072261482899375244005793311128989232894138357471322104189266177085749755823265545882804852754379414980949738421044415868149805630702385004652974304644316003174257797517995364179996460040729161317316048453608221068368881157334405631149838760932907256492883819393629891881883569054743416820711968715182444176899226903134241289699098258718847731916790767584884509703803702938210919749235425818779803386536096951917759320380615205115546949758773400134787546734506168852759465874191193828060420069763371765170952111435686699526509947616844268018115882106290395461875241594359744811968646}
19542  50054550455861395929100436579422073545589976552427566526335353783024652: {214841,546868,781240,799541,878895,937488,1032917,1054674,1149497,1382441,1421237,1537577,1963541,2118197,2195477,2418868,2697017,2764598,2886148,2928041,3158777,3229862,4158662,4308137,4390502,4498997,4525624,4651541,4752388,5091327,5184437,5218228,5316422,5450297,5639957,5778518,5980841,6358841,6470582,6886697,7262777,7327864,7543108,7675541,8049941,8243847,8260792,8471044,8796341,8833577,9193144,9225878,9293391,9354041,9683078,10279541,10342287,10435384,10685177,10795637,10823558,11366392,11709748,11739807,11932841,12152057,12171268,12296824,12695151,12698837,12787191,12880697,13771958,13833927,13846264,13895417,14436437,14454687,14674262,15113275,15190841,15349478,15405737,15513077,15577047,15703135,16012792,16023398,16119977,16440341,16631224,16940344,17558392,17590838,17598567,17687044,17814182,18014391,18135930,18710127,18843762,18874937,18909941,19057887,19151222,19224617,19344992,19373558,19399157,19608341,19753191,19793515,20130041,20338217,20384815,20442197,20728095,20788277,20885428,20950675,21119583,21374777,21512441,21555235,21763116,22027541,22109968,22233077,22433050,22471142,22506677,22540841,23109304,23528117,23562041,23615668,23752218,24036137,24228518,24340024,24461778,24744341,24873714,24942351,24946037,25140810,25262392,25382057,25430068,25534663,25549397,25783337,25866282,25997967,26283317,26412278,26748341,26781497,26816864,26919660,26947157,27046457,27382527,27932342,27936917,27966715,28122627,28232441,28276450,28420191,28429097,28714304,28919477,29017337,29049941,29153995,29440995,29693275,29876342,30168972,30306758,30395908,30684511,30736598,30951302,31180335,31184117,31280297,31380278,31403728,31494115,32049535,32303592,32672991,32904341,32918595,33094037,33259024,33560058,33931740,34038197,34437063,34536271,34663637,34880068,34984794,35065144,35113168,35130617,35215142,35329194,35426822,35631930,35904917,36129835,36193856,36322034,36341541,36478090,36612857,36796841,37111348,37255541,37416402,37438517,37745798,37792938,37906143,38007392,38126895,38459442,38469941,38801657,38922041,39448287,39450523,39502314,39660115,39820841,39952450,40148597,40207615,40237817,40416041,40463942,40550392,40668688,40718088,40889897,41089647,41462584,41566315,42024927,42677944,42758316,42909941,43054841,43315157,43355802,43570022,43747577,43773708,44349941,44459247,44832799,44891897,44948777,45008438,45062441,45459257,45587751,45619191,45628841,45640735,45657077,45741737,45752274,45785050,45807849,45910841,46077295,46153562,46645407,46843444,46847462,46891541,47051078,47406931,47475257,47586041,47592138,47661062,47738127,47942940,48012687,48249138,48385397,48739384,48796217,49205237,49337530,49712635,49879578,49936937,50029675,50287157,50448341,50823317,51090197,51093158,51139136,51249941,51353515,51614050,51888620,51922195,51927634,52044341,52333817,52412597,52494278,52624707,52927675,53490758,53692195,53766677,53844137,53888342,54086918,54172792,54358697,54768882,54831807,54942060,55292754,55757237,55867622,56064758,56152191,56284879,56357890,56436148,56493535,56659541,56851862,57032441,57181097,57182392,57439450,57440678,57531528,57674537,58028198,58084024,58564167,58604864,58614422,58845737,59014997,59087417,59205036,59380450,59448437,59502235,59655162,59735957,59855417,59916207,60035610,60558715,60567977,60780341,60785464,60944391,61273337,61274035,61457151,61507831,61624218,61719062,61936860,62179541,62266344,62306634,62731157,63137967,63210041,63300857,63513210,63640277,63977897,64037984,64181044,64214438,64330191,64430634,64558841,64722969,64750191,64758677,64913657,64997324,65024117,65201050,65222441,65244437,65344527,65354297,65462788,65930472,65933660,65975035,66065984,66074357,66117398,66849941,66999711,67063541,67077595,67170041,67256539,67434458,67440902,67456995,67488341,67629468,67690903,67747424,67792242,68005958,68383647,68560504,68575551,68640041,68681515,68764217,68927340,69258041,69380777,69445923,69456895,69482837,69666041,69752824,69969941,70034335,70049637,70050677,70352297,70487263,70592297,70646392,70652117,70667114,70771541,71018050,71176191,71188435,71241784,71256540,71402682,71638517,71775017,71833397,71954128,72042732,72110102,72167767,72240041,72294998,72643157,72670458,72700457,72739135,72795797,72928937,73080617,73103239,73163275,73476341,73499907,73522496,73528842,73831337,73941508,74091115,74126600,74146517,74171781,74324232,74868422,75132341,75623428,75862915,75995704,76006976,76215852,76305557,76358057,76507862,76689302,76794235,76982441,77130567,77170795,77494841,78022191,78106028,78241260,78399017,78415541,78471927,78563897,78646037,78760697,78907541,78988841,79120392,79170042,79209447,79247657,79461151,79477191,79536377,79550392,79568297,79572758,79584207,79632041,79806677,79869941,80090357,80106041,80147007,80184341,80224948,80227114,80287862,80406970,80493114,80665337,80705050,80792607,80820883,80822678,80918967,80948394,81000662,81469877,81574457,81711158,81797237,81841577,81930041,82003541,82101362,82149941,82222841,82310057,82417818,82541667,82712808,82741817,82772582,82798841,82874635,82926677,82948982,83348274,83392425,83431541,83457344,83477318,83583737,83614761,83653142,83830697,83966777,84041202,84249941,84436757,84497215,84570424,84735235,85181177,85219637,85221660,85426122,85454392,85495167,85507848,85537337,85687394,85750517,85973717,86031028,86047541,86157737,86242997,86246335,86412341,86512450,86520377,86663417,86817077,86938015,87062441,87131897,87225391,87286962,87514744,87542823,87549115,87565097,87666711,87795930,87799541,87868330,87910508,88008617,88171637,88206387,88345958,88386197,88449941,88492277,88608041,88909338,88929077,88951920,88959737,89010441,89132117,89494191,89518841,89716227,89716262,89817557,90006197,90143668,90310457,90424047,90553348,90588341,90641237,90685097,90711317,90772217,90903104,90927017,90966127,91035498,91195817,91246838,91351541,91371844,91400117,91417711,91424297,91677737,91747541,91754438,91793717,92152757,92153082,92203577,92311157,92429222,92472617,92520917,92541497,92604954,92853320,92976041,93051909,93069941,93100841,93101702,93137657,93198377,93216437,93282041,93384184,93393077,93506837,93648992,93655337,93671477,93676984,93683623,93889512,93898987,93954617,94013177,94250050,94284341,94301717,94337215,94436117,94452341,94535417,94566137,94588841,94763477,94772822,94783541,94882048,94894841,94897877,94921877,94939541,94942457,95028283,95034197,95088041,95114837,95141727,95145257,95156597,95169941,95189417,95191541,95234297,95268137,95286543,95294357,95328041,95337017,95356841,95362217,95377577,95383637,95415797,95443541,95447477,95449337,95471417,95934038,96080770,96136191,96144223,96181675,96196329,96258628,96284095,96334940,96488364,96663988,96701290,96759158,96846060,98116450,98121651,98454087,99062587,99449562,99537638,...,928652524929725684722767812585102061129745900445930709955907036387143373533739410151828972262846220288925129483995568655796968232157620477147074482880371396085535985719188285042433857337712854307894161390278950061065497738458574254403930235469103247814589493882416644309986149463047444798739969636937788852440393896300621144265198392341672018321119940573750922773440606355247168412789489714336469646679281355325555478386013724495203920878894379110749501305783483339681015013106189612030506246843305656985185873379354102556970272150115253518898952768577029843733218317263354225907814395628299416992638730342329859634348684484074721069288723712755186854668682378623159977451749040349276087968442099468342086709550560113050474699187901520983170936464527061012294223034927263781559524565561166135182833511135273211208298142501659716074345842157585459819006171648152552594265062543241659415129225252987023707113131569668374609481090616179742376478566758458559639656882495032290908885858715989340103662332104117975772822566306009751205210322556159264931771829299750218090971513831817725073567938791715480750394436091544471699462690343054939839987145938195729727205836064224148381874953696586757162873464013214204813425089500295862337399356388601653339560111167403811977268752378819397260187624469534280310129763632404416959505761065851928166259396983368601310096400247690032435266365493913377682000235936315021673185427311019488872400995420382660735284538510676847836749682180314619541571563092619631614614004436011832676971619725748365768714720392853439861615943618127917554711081565894722835141285590963311095864658175446064112755866384245371170720247652000734162853335989821609492846739160622742148907721372331154834871076787292178062950252536792834313907054812402643530638301152467636015306184207468784500115414869504554724617583952145300706453777121490919851368536687407869064321591950705229439255285281410417389104867237074697693358595141385401754054688388415004274227143268247156984639704574330713071245467660721933650576162948553991495016665240107516297336545644380522064303685854193144057725169548974877708242524940656699262227793040468246467781169395786333292394474666605674004549743113977771680183676177905060547093011050113353919285689237369655597404060393374787351303760556289626292374211607598607241787127926816742605817598815157974909344026539249553625989887841382200466453390108576004523594432862165720215257960659359744092090755728266405355803669052489049180069303440110280590593551301545799272345591569989109971252608392224349062866008689966693483849341207536206983156283899265628624633734898318824207279131569122471424607631566623802224708446053577506979461456966474004761386696276993046269994690061093741975974072680412331602553321736001608446724758141399360884739325729090444837822825353582115125231067953072773666265348840354701361934548647388078271597875186151377326764555705554407316379623853138728169705079804145427876638980570922807673320424638160100202181320101759253279139198811286790742090630104645057647756428167153530049289764921425266402027173823159435593192812862391539617217952969}
19543  50250951502297181504547242001196565866079414641400936661903616094257005: {19543,39082,683585,820302,976550,1171860,1249984,1406232,1582011,3023585,3607685,3628302,3959921,4146897,4329222,4844793,5657030,5832593,5940485,6237993,6300761,6411881,6522785,6585753,6649841,6788436,7128582,7228193,7351877,7827342,7974633,8044001,8521937,8667777,9130961,9159830,9218297,9428885,9705873,9870542,9945593,10325990,10387637,10588805,10759721,10991796,11275046,11314662,11491430,11904113,12115481,12258581,12391188,12441638,12706566,13044230,13065041,13419653,13789716,13838817,13895657,14011193,14207990,14242073,14524617,14552321,14637185,14822801,14934257,15177257,15214085,15249782,15363593,15371030,15438917,15653076,16235337,16580033,16926868,16952273,17049588,17307830,17392961,17515217,17564622,17579078,18256902,18445236,18464693,19262753,19272916,19346222,19607297,20015990,20145422,20220641,20657937,20769396,20789030,20898821,20983313,21175430,21297521,21947990,22011393,22013057,22104593,22108805,22493237,22557617,22710182,23024217,23288177,23464756,24019188,24035097,24181240,24280337,24505013,24747641,24768761,24946836,25125016,25273358,25410516,25510277,25952177,25998326,26012753,26106785,26117321,26127398,26337588,26386257,26530566,26653061,26721273,27017393,27159302,27203895,27478262,27519557,27637460,28159444,28265643,28523573,28688462,28726833,28886630,29017488,29060337,29101646,29519585,29865446,30425030,30658457,30682001,30724022,30965633,31124246,31247942,31328142,31577990,31669624,31787585,32034353,32038421,32191841,32615704,32644674,32651513,32770406,33164952,33256468,33521080,33649575,33706713,34009673,34488376,34663956,35039537,35086742,35324297,35423502,35481593,35510222,35585102,35628327,35803961,35892880,35917622,35975993,35979701,36279761,36342777,36510036,36692667,36733622,37272737,37310571,37343201,37496836,37540997,37711215,37785521,37893588,37994885,38006897,38040977,38065478,38145102,38799423,39210566,39254660,39474761,39540293,39618417,40225296,40366262,40379490,41156597,41470022,41573780,41898513,42096302,42319937,42414675,42452801,42646961,42789641,43071456,43171238,43332713,43563988,43600085,43636046,43831430,43891460,44021582,44319713,44323046,44746744,44814513,45242320,45253458,45460137,45593862,45721742,45811481,45916084,45998873,46104897,46302038,46389185,46426953,46571558,46646392,47070417,47105592,47364977,47401193,47509240,47591417,48270662,48455388,48555686,48621941,49321817,49490198,49511813,49888536,49990817,50034593,50340087,50390584,50464361,50541524,50687990,50823521,50835860,50897610,51015302,51279256,51828230,52320102,52477191,52488533,52597716,52669752,52822713,52992017,52993791,53140233,53187281,53347430,53447895,53588057,54029222,54211982,54290784,54483051,54596342,54620021,54717135,54786196,54862502,55581137,55667022,55986473,56033236,56124603,56618697,56689407,56715182,56785121,57011088,57459077,57689163,57807736,58150997,58364944,58554305,59050742,59253471,59278996,59297678,59316737,59648033,59922137,59928675,59990441,60432437,60695913,60783668,60825588,60924230,60981353,61003032,61033721,61077132,61181921,61815593,61961057,62193876,62336561,62813957,62911097,62959862,63431573,63456184,63513902,63530918,63650836,63923920,63935702,63940181,64016916,64070246,64137474,64332184,64377038,64391093,64860775,65033703,65355033,65562737,65660562,65722406,65873873,65973137,66171017,66496241,66506104,66640313,66698582,66914342,67512657,67671446,67715990,67849457,68012342,68605382,68628411,68677575,68971073,69070742,69230343,69299273,69606593,69903377,70159457,70166276,70265166,70271193,70316597,70545185,70576617,70639046,71388207,71402321,71477990,71491593,71914410,72095321,72265541,72373707,72605030,73025176,73109076,73256080,73273733,73643537,73723672,73944833,73999121,74006295,74537798,74772593,74819367,74869588,75074246,75124373,75981830,76575401,76639737,76708704,76755401,77421075,77702417,77832930,77891451,78085556,78706241,78741417,78940048,79176773,79540216,79542326,79888276,80047480,80058038,80226305,80236137,80832513,80929913,81130377,81246655,81259188,81711161,81778337,81828485,81942868,81967361,82153323,82165624,82413090,82417075,82582480,82939131,83021792,83075512,83478257,83789222,83801433,84097137,84183956,84516662,84536835,84654222,84684280,85277793,85700630,85773588,85907512,85916846,86159175,86161017,86297292,86333588,86534513,86656502,87024197,87042297,87126036,87191030,87907296,87921633,88307990,88807554,89042006,89052230,89070675,89332948,89372801,89482743,89678798,89942660,90053415,90172624,90211382,90304646,90389656,90643541,90885617,91061921,91178196,91426673,91434068,91903120,91912937,92426885,92436327,92578593,92594564,92658250,92892293,92905290,93399516,93459951,93503057,93531206,93706577,94055558,94080761,94201433,94529285,94792502,94900073,94901588,94994630,95008720,95203576,95269815,96056976,96271566,96321657,96478193,96528398,96645951,96796037,96855062,96893944,97118417,97236881,97238438,97495986,97632535,97742393,97801575,97999876,98038456,98194182,98895708,98900490,99098976,99176097,99319601,99437990,99460982,99971342,...,1238203366572967579630357083446802748172994533927907613274542715182857831378319213535771963017128293718566839311994091541062624309543493969529432643840495194780714647625584380056578476450283805743858881853705266748087330317944765672538573647292137663752785991843222192413314865950729926398319959515917051803253858528400828192353597856455562691094826587431667897031254141806996224550385986285781959528905708473767407304514684965993605227838525838814332668407711311119574686684141586149374008329124407542646914497839138803409293696200153671358531937024769373124977624423017805634543752527504399222656851640456439812845798245978766294759051631617006915806224909838164213303268998720465701450624589465957789448946067413484067299598917202027977561248619369414683058964046569685042079366087414888180243778014847030948277730856668879621432461122876780613092008228864203403459020083390988879220172300337316031609484175426224499479308120821572989835304755677944746186209176660043054545181144954652453471549776138823967697096755074679668273613763408212353242362439066333624121295351775756966764757251722287307667192581455392628932616920457406586453316194584260972969607781418965531175833271595449009550497952017618939751233452667061149783199141851468871119413481556538415969691669838425863013583499292712373746839684843205889279341014754469237555012529311158135080128533663586709913688487325217836909333647915086695564247236414692651829867993893843547647046051347569130448999576240419492722095417456826175486152005914682443569295492967664487691619627190471253148821258157503890072948108754526297113521714121284414794486210900594752150341155178993828227626996869334312217137781319762145990462318880830322865210295163108206446494769049722904083933670049057112418542739749870191374184401536623514687074912276625046000153886492672739632823445269527067608605036161987893135158048916543825419095455934273639252340380375213889852139822982766263591144793521847202338739584517886672365636191024329542646186272765774284094993956880962578200768217264738655326688886986810021729782060859174029419071581138924192076966892731966503610990033254208932349637057387290995290374892527715111056525966222140898672732990818637028906911568237206747396124014733484471892380918983159540796538747191166383135071680741719501723165615476798142989049503902422323474423465086877299879125368718999404834653183788509600621937853478101339364792577149554293620343947545812992122787674304355207141071558736652065573425737920147040787458068402061065696460788759985479961670144522965798750488011586622257978465788276714942644208378532354171499511646531091765609705508758829961899476842088831736299611261404770009305948609288632006348515595035990728359992920081458322634632096907216442136737762314668811262299677521865814512985767638787259783763767138109486833641423937430364888353798453806268482579398196517437695463833581535169769019407607405876421839498470851637559606773072193903835518640761230410231093899517546800269575093469012337705518931748382387656120840139526743530341904222871373399053019895233688536036231764212580790923750483188719489623937292}
19544  50448117698182193329195524544855555335446324973856707559803138805969063: {58623,253903,429682,721759,838543,1093736,1188463,1230453,1304959,1421383,1464825,1562480,1599082,1757790,1874976,1886359,2002423,2065834,2109348,2298994,2465959,2764882,2842474,3043759,3075154,3159103,3927082,4079263,4236394,4390954,4837736,5222983,5336959,5394034,5442453,5529196,5772296,5856082,5905759,6019303,6317554,6359503,6459724,6472759,6493833,8317324,8485545,8616274,8722759,8781004,8834503,8997994,9051248,9303082,9504776,10182654,10368874,10436456,10632844,10692873,10833583,10900594,11279914,11557036,11741013,11934103,11961682,12717682,12941164,13739745,13773394,14113543,14221759,14525554,14655728,14761759,14805813,15086216,15351082,15488985,15943423,16099882,16477663,16487694,16521584,16903759,16912569,16942088,16971993,17237145,17592682,17667154,18386023,18386288,18451756,18586782,18662457,18708082,18911983,19059849,19366156,19436143,19566345,19645303,20062759,20166943,20559082,20582959,20684574,20870768,21158585,21311985,21370354,21591274,21647116,21984389,22543303,22645759,22732784,22874673,23056545,23419496,23479614,23564623,23865682,24072583,24091145,24173959,24304114,24342536,24593648,25390302,25397674,25574382,25761394,25786183,25961745,26186359,26346933,26368617,26784463,27385353,27543916,27577903,27667854,27692528,27710921,27790834,28169959,28538741,28872874,28909374,29019333,29053183,29330945,29348524,29736103,30023985,30177329,30218133,30221743,30226550,30381682,30698956,30811474,31026154,31154094,31183545,31187623,31406270,31667863,31763145,32025584,32046796,32239954,32432503,32880682,32908063,32921985,33262448,33880688,34065273,34546825,34979143,35116784,35181676,35197134,35199305,35374088,35628364,35909023,36028782,36263513,36271860,36831703,37290343,37420254,37564663,37687524,37749874,37819882,37910037,38115774,38202223,38302444,38449234,38689984,38747116,38798314,38926543,38997489,39153401,39191097,39216682,39466759,39506382,39587030,39795849,40260082,40272223,40676434,40738953,40769630,40805959,40815593,40884394,41217393,41456190,41570585,41576554,41689759,41770856,41901350,42128959,42239166,42653623,42749554,43024882,43032693,43110470,43329945,43349143,43435759,43526232,43652469,44055082,44091761,44219936,44297959,44466154,44798169,44866100,44869349,44942284,45013354,45081682,45637545,45662503,46086033,46218608,46686369,46841359,46871045,46871913,46925023,46992213,47056234,47124082,47231336,47366985,47504436,47591743,48072274,48088759,48457036,48680048,48923556,48967011,49068325,49155609,49238383,49488682,49747428,49884702,49892074,50281620,50524784,50534959,50581769,50764114,50860136,51069326,51098794,51566674,51732564,51813103,51967225,51995934,52050703,52566634,52630113,52824556,52984217,53135253,53228983,53265333,53377653,53496682,53562994,53633728,53773303,53839320,53876433,53894314,54092914,54391063,54454985,54765054,54864325,55100433,55309063,55524161,55612759,55864684,55873834,55933430,56026373,56245254,56290661,56291863,56464882,56552900,56840382,56858194,57039583,57098217,57217653,57395105,57428608,57484759,57780103,57838954,57853759,57927343,58034674,58099882,58192841,58307990,58815849,58881990,58949959,59386550,59752684,60337944,60549393,60569235,60613516,60740959,60791816,61369022,61473196,61514743,61902604,62205033,62210623,62360670,62368234,62560594,62760556,62762143,62807456,62988230,63144453,63176905,63240943,63544825,63897029,63918823,64099070,64508213,64607184,64756857,64789303,65252983,65345982,65454069,65747145,65808682,65837190,65843959,66032373,66169759,66188074,66484569,66518048,66880183,67120116,67518463,67834903,67863480,67880187,68076394,68337463,68390793,68482745,68582613,68711359,68874126,68959183,69072542,69327274,69328759,69453057,69597689,69760136,69857337,69969588,69999583,70041545,70130288,70226336,70261234,70430284,70658388,70853644,70900303,71078503,71263860,71374063,71809834,71894921,72249943,72259670,72387712,72405993,72595759,72644068,72653143,72683082,72691073,72824863,72833529,72956180,73225714,73593682,73729759,73785703,74098745,74222696,74235297,74511082,74561359,74832804,74877034,75169073,75491596,75585876,75698383,75812286,75911359,75979585,76014784,76031985,76253790,76346415,76522953,76699759,76918884,76939882,77603314,77742345,77844082,77927503,78277783,78426823,78480153,78896574,78901046,79004628,79090949,79210759,79320230,79563545,79641682,79881583,79904900,80021145,80117743,80164759,80297194,80415230,80475634,80832082,80907223,80927884,81043833,81100784,81316759,81317973,81337376,81436176,81764959,81779794,81894513,82179294,82249663,82293753,82467103,82853959,82925168,83066359,83132630,83276959,83303129,83500533,83857063,83897959,83938783,84049854,84101359,84462943,84661303,84782201,85072773,85245583,85283959,85355888,85516632,85663759,85783649,85819882,85999423,86073223,86109682,86394737,86437903,86545903,86630314,86711604,86795383,86901223,87140044,87283759,87495154,87547416,87590263,87623959,87707845,87758023,87791359,87956959,88120759,88576113,88699882,88918494,88946517,89096143,89543263,89665598,89783794,89897554,90016876,90124882,90361759,90496759,90656383,90735223,90787423,90865183,90918514,91119703,91175502,91238382,91257682,91268959,91281470,91293583,91314154,91386345,91483474,91504548,91570100,91615698,91821682,91862959,92087959,92154590,92175943,92307124,92327143,92365049,92411959,92537023,92699743,92896663,92992423,93123463,93286759,93290814,93304543,93586985,93686888,93693703,93694924,93773263,93783082,93908633,94102156,94212823,94292959,94357759,94370503,94439793,94587583,94708759,94719343,94813862,94915903,94950514,94960543,94994959,95028223,95149759,95172082,95184276,95210023,95246959,95270853,95296377,95322124,95355823,95377063,95466703,95475343,95476254,95479663,95490463,95515589,95885880,95903553,96025374,96105369,96154121,96206211,96498276,96565557,96770794,97239653,97478768,97592434,97606945,98048069,98410474,98490843,98583609,98675060,99425270,99663809,99759156,99860345,99873874,...,1857305049859451369445535625170204122259491800891861419911814072774286747067478820303657944525692440577850258967991137311593936464315240954294148965760742792171071971438376570084867714675425708615788322780557900122130995476917148508807860470938206495629178987764833288619972298926094889597479939273875577704880787792601242288530396784683344036642239881147501845546881212710494336825578979428672939293358562710651110956772027448990407841757788758221499002611566966679362030026212379224061012493686611313970371746758708205113940544300230507037797905537154059687466436634526708451815628791256598833985277460684659719268697368968149442138577447425510373709337364757246319954903498080698552175936884198936684173419101120226100949398375803041966341872929054122024588446069854527563119049131122332270365667022270546422416596285003319432148691684315170919638012343296305105188530125086483318830258450505974047414226263139336749218962181232359484752957133516917119279313764990064581817771717431978680207324664208235951545645132612019502410420645112318529863543658599500436181943027663635450147135877583430961500788872183088943398925380686109879679974291876391459454411672128448296763749907393173514325746928026428409626850179000591724674798712777203306679120222334807623954537504757638794520375248939068560620259527264808833919011522131703856332518793966737202620192800495380064870532730987826755364000471872630043346370854622038977744801990840765321470569077021353695673499364360629239083143126185239263229228008872023665353943239451496731537429440785706879723231887236255835109422163131789445670282571181926622191729316350892128225511732768490742341440495304001468325706671979643218985693478321245484297815442744662309669742153574584356125900505073585668627814109624805287061276602304935272030612368414937569000230829739009109449235167904290601412907554242981839702737073374815738128643183901410458878510570562820834778209734474149395386717190282770803508109376776830008548454286536494313969279409148661426142490935321443867301152325897107982990033330480215032594673091288761044128607371708386288115450339097949755416485049881313398524455586080936492935562338791572666584788949333211348009099486227955543360367352355810121094186022100226707838571378474739311194808120786749574702607521112579252584748423215197214483574255853633485211635197630315949818688053078499107251979775682764400932906780217152009047188865724331440430515921318719488184181511456532810711607338104978098360138606880220561181187102603091598544691183139978219942505216784448698125732017379933386967698682415072413966312567798531257249267469796637648414558263138244942849215263133247604449416892107155013958922913932948009522773392553986092539989380122187483951948145360824663205106643472003216893449516282798721769478651458180889675645650707164230250462135906145547332530697680709402723869097294776156543195750372302754653529111411108814632759247706277456339410159608290855753277961141845615346640849276320200404362640203518506558278397622573581484181260209290115295512856334307060098579529842850532804054347646318871186385625724783079234435905938}
19545  50646052003218029310168499160291073950205995471598437182638800778607669: {39086,78164,644523,957019,1367170,1640604,1953100,2343720,2398623,2499968,2636685,2812464,3098751,3164022,3448491,4147323,4233019,4263711,4612731,5050759,5890623,6047170,6354591,6586431,6911495,7042027,7215370,7256604,7858903,7919842,8074655,8091051,8293794,8316679,8658444,8784123,9131899,9476331,9689586,10396655,10894351,10976255,11314060,11665186,11880970,12475986,12601522,12823762,12924411,13045570,13171506,13200439,13291055,13299682,13496991,13576872,13700767,13954623,14257164,14446295,14456386,14703754,14824327,15200603,15273981,15440503,15553311,15654684,15917611,15949266,16088002,16176455,16350891,16919871,17043874,17335554,17942523,18261922,18319660,18436594,18723163,18857770,19076523,19411746,19527407,19741084,19891186,20492059,20651980,20660091,20775274,21177610,21299719,21519442,21590063,21788331,21983592,22340119,22550092,22629324,22865579,22982860,23026623,23064695,23484599,23732711,23808226,24140303,24149823,24207695,24230962,24517162,24731541,24782376,24883276,25413132,25954843,26015431,26088460,26130082,26389023,26411291,26500731,26536247,26655799,26839306,27058895,27522391,27579432,27677634,27791314,27880173,27959723,28022386,28062123,28415980,28484146,29049234,29104642,29189947,29274370,29645602,29868514,29914631,30354514,30428170,30499564,30727186,30742060,30838623,30877834,30952327,31026861,31306152,32055531,32386911,32470674,32717303,33160066,33290927,33356159,33853736,33904546,34099176,34429895,34615660,34785922,35030434,35129244,35158156,35219421,35326799,35798523,35807647,36456171,36513804,36549499,36685655,36890472,36929386,37493639,38010811,38044903,38085453,38096511,38361573,38373695,38525506,38545832,38642091,38692444,39214594,39779351,40031980,40058495,40212607,40290844,40391419,40441282,41315874,41327419,41501781,41538792,41578060,41686251,41797642,41966626,42350860,42595042,43309311,43364061,43891879,43895980,43977095,43994983,44022786,44026114,44209186,44217610,44502619,44535455,44986474,45114983,45115234,45161639,45339825,45420364,45572523,46048434,46217211,46539231,46576354,46731141,46775231,46929512,47109405,47878055,48038376,48070194,48194239,48359931,48362480,48433895,48560674,49010026,49087007,49321023,49468463,49495282,49537522,49893672,50014471,50141087,50250032,50546716,50821032,50993743,51020554,51201067,51904354,51996652,52025506,52213570,52234642,52254796,52675176,52772514,52795701,53061132,53192839,53306122,53442546,54034786,54043173,54318604,54407790,54956524,55039114,55274920,55976791,56082625,56130381,56177855,56318888,56531286,56569463,56624811,56729823,56790967,57047146,57173661,57376924,57453666,57673851,57773260,58034976,58120674,58197471,58203292,58386919,58425083,58825023,59039170,59259573,59380545,59730892,60390123,60571295,60766991,60850060,60987631,61014651,61040119,61154445,61316914,61326591,61364002,61448044,61931266,62184285,62248492,62364831,62495884,62656284,62852025,63155980,63339248,63358749,63575170,63583631,64068706,64076842,64124331,64383682,64537323,64665705,64827899,64944859,65231408,65289348,65303026,65540812,65979931,66030695,66082623,66089663,66329904,66391271,66512936,66699231,67042160,67299150,67413426,67520031,67622523,67625387,68019346,68976752,69327912,69830855,70079074,70173484,70584351,70648594,70686123,70691125,70817071,70847004,70894111,70963186,71020444,71170204,71256654,71607922,71785760,71835244,71951986,71959402,72108411,72272983,72559522,72685554,73020072,73081223,73385334,73467244,74233023,74479823,74482559,74545474,74621142,74686402,74690855,74827053,74838111,74993672,75081994,75422430,75571042,75766895,75787176,75989770,76013794,76081954,76130956,76146171,76290204,76326619,76603989,76648191,76841495,76992767,77350011,77378255,77598846,77993901,78202111,78371207,78421132,78450695,78509320,78849951,78949522,79080586,79236834,79357279,80245023,80344491,80347823,80450592,80732524,80758980,80841471,81139371,81976027,82147581,82313194,82940044,83147560,83797026,83810751,83900145,84192604,84367881,84639874,84697323,84829350,84905602,85260573,85287291,85293922,85579282,86142912,86342476,86665426,86758431,87033271,87052011,87127976,87149823,87200170,87272092,87461985,87662860,87782920,88037855,88043164,88071407,88322985,88567055,88639426,88646092,89079825,89493488,89629026,89838503,90484640,90506916,90805085,90920274,91071319,91187724,91195225,91443484,91523951,91622962,91832168,91997746,92053533,92209794,92604076,92778370,92853906,93143116,93292784,93541005,93552351,93840891,94140834,94211184,94364495,94482345,94729954,94802386,95016491,95018480,95182834,96148605,96541324,96719183,96910776,97111372,97243882,97517339,97810523,98018973,98643634,98713023,98755785,98763259,98980396,99023626,99282111,99777072,99881125,99981634,...,2785957574789177054168303437755306183389237701337792129867721109161430120601218230455486916788538660866775388451986705967390904696472861431441223448641114188256607957157564855127301572013138562923682484170836850183196493215375722763211790706407309743443768481647249932929958448389142334396219908910813366557321181688901863432795595177025016054963359821721252768320321819065741505238368469143009408940037844065976666435158041173485611762636683137332248503917350450019043045039318568836091518740529916970955557620138062307670910816450345760556696858305731089531199654951790062677723443186884898250977916191026989578903046053452224163207866171138265560564006047135869479932355247121047828263905326298405026260128651680339151424097563704562949512809393581183036882669104781791344678573696683498405548500533405819633624894427504979148223037526472756379457018514944457657782795187629724978245387675758961071121339394709005123828443271848539227129435700275375678918970647485096872726657576147968020310986996312353927318467698918029253615630967668477794795315487899250654272914541495453175220703816375146442251183308274633415098388071029164819519961437814587189181617508192672445145624861089760271488620392039642614440275268500887587012198069165804960018680333502211435931806257136458191780562873408602840930389290897213250878517283197555784498778190950105803930289200743070097305799096481740133046000707808945065019556281933058466617202986261147982205853615532030543510249046540943858624714689277858894843842013308035498030914859177245097306144161178560319584847830854383752664133244697684168505423856772889933287593974526338192338267599152736113512160742956002202488560007969464828478540217481868226446723164116993464504613230361876534188850757610378502941721164437207930591914903457402908045918552622406353500346244608513664173852751856435902119361331364472759554105610062223607192964775852115688317765855844231252167314601711224093080075785424156205262164065165245012822681429804741470953919113722992139213736402982165800951728488845661974485049995720322548892009636933141566192911057562579432173175508646924633124727574821970097786683379121404739403343508187358999877183423999817022013649229341933315040551028533715181641279033150340061757857067712108966792212181180124362053911281668868878877122634822795821725361383780450227817452796445473924728032079617748660877969663524146601399360170325728013570783298586497160645773881978079232276272267184799216067411007157467147540207910320330841771780653904637397817036774709967329913757825176673047188598026069900080451548023622608620949468851697796885873901204694956472621837394707367414273822894699871406674125338160732520938384370899422014284160088830979138809984070183281225927922218041236994807659965208004825340174274424198082654217977187271334513468476060746345375693203859218320998796046521064104085803645942164234814793625558454131980293667116663221949138871559416184509115239412436283629916941712768423019961273914480300606543960305277759837417596433860372226271890313935172943269284501460590147869294764275799206081521469478306779578438587174618851653858907}
19546  50844757388473286890783370722043495617367987550710713260116024463799079: {58629,97705,117246,507806,859364,1443518,1615429,1677086,1731673,2050755,2187472,2195929,2376926,2441375,2460906,2609918,2842766,2929650,3124960,3198164,3236293,3351529,3515580,3749952,3772718,4004846,4131668,4218696,4385413,4597988,4746033,4931918,4957273,5529764,5684948,6087518,6150308,6318206,7339429,7452073,7854164,8158526,8472788,8781908,8909893,9070755,9675472,9689833,10445966,10673918,10788068,10823055,10884906,11058392,11128933,11349253,11544592,11712164,11811518,11879763,12038606,12227653,12440691,12635108,12719006,12774313,12919448,12945518,12987666,13970629,14142575,14511529,14534379,14942953,15480613,16634648,16971090,17232548,17295193,17445518,17497779,17562008,17669006,17719129,17821455,17995988,18102496,18606164,18713979,18902283,19009552,19235643,19568355,19757259,19949523,20342629,20365308,20737748,20872912,21265688,21385746,21667166,21684579,21801188,21895129,22055631,22306393,22559828,22899575,23023333,23114072,23329513,23482026,23533273,23868206,23923364,23923899,24132003,24676355,25435364,25565811,25814975,25855813,25882328,26003331,26853733,27052453,27392883,27479490,27546788,27654891,28041733,28187615,28227086,28286655,28443518,28728575,28827973,29051108,29117619,29311456,29317033,29523518,29611626,29622019,29836779,30172432,30483433,30702164,30977970,31104095,31162911,31766415,31886846,32199764,32279163,32610575,32955326,32975388,33043168,33164713,33354073,33727603,33807518,33825138,33884176,33943986,34296553,34474290,34671529,35185364,35334308,35511013,35519975,35712339,36067429,36159913,36346443,36772046,36772576,36775743,36903512,37080793,37173564,37324914,37416164,37447129,37823966,38119698,38124455,38357929,38427575,38732312,38872286,39132690,39195123,39290606,40125518,40125899,40247173,40258959,40333886,40514473,41063323,41118164,41165918,41369148,41489029,41516451,41686971,41741536,41841253,42033579,42317170,42623970,42726219,42740708,42856879,43182548,43269575,43294232,43573851,43656963,43911555,43947695,43968778,44188633,44468403,44802771,44874073,44959429,45086606,45291518,45465568,45531771,45642255,45749346,46090779,46113090,46316751,46838992,46959228,47129246,47486629,47731364,48145166,48182290,48232153,48347918,48365555,48608228,48643813,48685072,48706011,48807973,49187296,49279027,49624453,49740099,50039975,50363555,50780604,50795348,50856819,51148764,51235813,51522788,51572366,51923490,51972575,52178883,52372718,52545651,52693866,52737234,52938575,53568926,53909029,53986393,54271283,54372133,54770706,54869975,54985573,55087832,55155806,55335708,55385056,55394079,55421842,55518553,55581668,56339918,56648773,56775455,57077482,57689029,57745748,57788259,57818748,58038666,58106366,58130533,58198819,58661890,58697048,58821891,59472206,59583493,59798953,60047970,60354658,60436266,60443486,60453100,60583429,60661923,60763364,61218793,61397912,61622948,61973811,61993679,62052308,62308188,62367090,62375246,62403013,62617711,62696463,62747353,62812540,62949939,63021529,63089893,63183395,63335726,63526290,63701929,63892563,64051168,64093592,64479908,64642393,64865006,64995815,65107333,65318495,65371429,65619463,65761364,65816126,65843970,66034179,66039171,66313779,66326415,66351529,66524896,66610153,66739033,67315429,67479711,67633129,67672851,67761376,67898255,68130546,68695655,69072651,69093650,69256153,69562693,69806629,69864531,69958286,70109929,70233568,70363352,70394268,70398610,70651333,70711129,70748176,70770853,71256728,71540713,71658073,71721155,71818046,71950213,72057564,72105291,72216575,72527026,72543720,72754115,72758629,72815833,72841011,73515039,73663406,73665253,74242923,74306283,74580686,74663615,74840508,75129326,75375048,75476953,75499748,75530629,75639764,75820074,76062575,76231548,76236979,76274533,76327129,76404446,76530831,76604888,76810055,76898468,77379968,77494232,77596628,77810615,77853086,77856531,77994978,78038259,78119855,78306802,78320355,78351963,78382194,78421573,78433364,78668713,78933518,78944975,79012764,79060393,79158771,79174060,79591429,79591698,79959183,80113753,80163819,80254693,80353147,80488153,80520164,80544446,80719813,81052179,81352868,81477906,81539260,81611685,81611918,81628453,81631186,81768788,81926015,81939673,82434786,82558671,82912380,83141170,83153108,83359333,83379518,83541712,83567593,83650393,83802700,83856133,84257918,84478332,84796929,85207429,85307246,85499108,85570719,85777129,86049764,86065386,86180499,86220940,86294233,86659890,86690629,86698286,86867929,86871518,87008473,87052464,87181011,87251653,87304938,87693913,87716855,87927013,88058629,88110164,88183522,88414633,88439872,88447667,88558755,88595918,88775555,88932308,88962755,89311429,89430373,89596338,89635753,89732200,89738698,89794055,89884568,90026708,90035929,90163364,90609733,90689113,90819973,90974629,91000153,91275090,91325006,91447273,91732393,91834055,91975371,92046003,92172066,92184553,92437216,92789029,92867653,92896899,93261529,93372738,93540313,93590533,93682718,93705193,93742090,93743826,93850046,93984426,93998629,94071529,94112468,94128553,94156633,94248164,94279429,94345129,94358053,94458853,94462672,94578373,94635433,94733970,94805929,95001733,95008872,95163695,95183486,95186629,95193433,95245273,95281129,95309029,95354713,95362755,95381929,95417893,95425093,95456773,95489029,95504473,95510629,95875843,96103059,96115263,96144548,96177518,96575523,96655163,96914072,97360096,97847112,97934022,97954539,98026415,98058163,98136650,98311218,98476766,98977364,99494856,99769404,99784148,...,3714610099718902738891071250340408244518983601783722839823628145548573494134957640607315889051384881155700517935982274623187872928630481908588297931521485584342143942876753140169735429350851417231576645561115800244261990953834297017615720941876412991258357975529666577239944597852189779194959878547751155409761575585202484577060793569366688073284479762295003691093762425420988673651157958857345878586717125421302221913544054897980815683515577516442998005223133933358724060052424758448122024987373222627940743493517416410227881088600461014075595811074308119374932873269053416903631257582513197667970554921369319438537394737936298884277154894851020747418674729514492639909806996161397104351873768397873368346838202240452201898796751606083932683745858108244049176892139709055126238098262244664540731334044541092844833192570006638864297383368630341839276024686592610210377060250172966637660516901011948094828452526278673498437924362464718969505914267033834238558627529980129163635543434863957360414649328416471903091290265224039004820841290224637059727087317199000872363886055327270900294271755166861923001577744366177886797850761372219759359948583752782918908823344256896593527499814786347028651493856052856819253700358001183449349597425554406613358240444669615247909075009515277589040750497878137121240519054529617667838023044263407712665037587933474405240385600990760129741065461975653510728000943745260086692741709244077955489603981681530642941138154042707391346998728721258478166286252370478526458456017744047330707886478902993463074858881571413759446463774472511670218844326263578891340565142363853244383458632701784256451023465536981484682880990608002936651413343959286437971386956642490968595630885489324619339484307149168712251801010147171337255628219249610574122553204609870544061224736829875138000461659478018218898470335808581202825815108485963679405474146749631476257286367802820917757021141125641669556419468948298790773434380565541607016218753553660017096908573072988627938558818297322852284981870642887734602304651794215965980066660960430065189346182577522088257214743416772576230900678195899510832970099762626797048911172161872985871124677583145333169577898666422696018198972455911086720734704711620242188372044200453415677142756949478622389616241573499149405215042225158505169496846430394428967148511707266970423270395260631899637376106156998214503959551365528801865813560434304018094377731448662880861031842637438976368363022913065621423214676209956196720277213760441122362374205206183197089382366279956439885010433568897396251464034759866773935397364830144827932625135597062514498534939593275296829116526276489885698430526266495208898833784214310027917845827865896019045546785107972185079978760244374967903896290721649326410213286944006433786899032565597443538957302916361779351291301414328460500924271812291094665061395361418805447738194589552313086391500744605509307058222822217629265518495412554912678820319216581711506555922283691230693281698552640400808725280407037013116556795245147162968362520418580230591025712668614120197159059685701065608108695292637742372771251449566158468871811876}
19547  51044236836426907872244761536147228691571157463882818820899347350156535: {78172,156328,175869,761709,1074205,1289046,1914038,2165277,2515629,2734340,3281208,3565389,3691359,3906200,3914877,3997705,4264149,4394475,4687440,4797246,4999936,5164585,5273370,5624928,5659077,5747485,6007269,6197502,6222733,6328044,6896982,6912205,7106185,7397877,7627237,7687885,8294646,8466038,8527422,9131277,9225462,9477309,9613993,9676093,9817705,10075813,10101518,10316029,10590985,10977385,11304517,11358589,11781246,12094340,12237789,12640573,12709182,13172862,13485085,13583833,13822990,14084054,14348653,14430740,14513208,14555317,14640205,15366757,15566917,15628789,15668949,15717806,15793885,15839684,16010877,16149310,16182102,16327359,16390249,16587588,16633358,16908133,17316888,17548777,17568246,17717277,17964349,18057909,18263798,18372469,18607477,18952662,19038613,19078509,19379172,19418277,19481499,19529413,20189353,20224813,20793310,21054637,21540685,21788702,21824749,21952510,22017589,22168357,22494985,22628120,22647037,22867933,23158153,23257705,23292973,23330372,23735149,23761940,24142789,24146137,24951972,25203044,25456635,25515529,25647524,25848822,25922185,26091140,26168277,26247493,26343012,26400878,26503509,26538973,26582110,26599364,26993982,27022957,27153744,27251485,27306589,27401534,27439717,27909246,28199785,28366333,28514328,28529449,28892590,28912772,29407508,29414233,29534473,29648654,29904205,29983237,30401206,30547962,30881006,31106622,31309368,31775293,31794205,31835222,31898532,31977709,32045017,32078619,32176004,32290573,32352910,32500749,32701782,33043309,33359593,33467533,33839742,33846157,33890773,34016677,34087748,34313269,34419433,34433485,34671108,34735789,35223039,35330437,35586853,35802309,35885046,35987113,36313885,36523844,36639320,36873188,37112869,37280413,37300057,37446326,37715540,37882453,38153046,38155177,38377705,38823492,39054814,39322597,39482168,39482893,39782372,40041373,40249705,40984118,41219235,41303960,41320182,41550548,41891077,42340629,42355220,42599438,42665277,43038884,43180126,43341637,43576662,43967184,43981705,44167885,44285277,44417439,44680238,45100184,45119629,45258648,45731158,45820933,45965720,46008349,46053246,46129390,46466955,46770205,46969198,47042293,47465422,47616452,47785237,47830269,48201853,48214573,48280606,48299646,48415390,48442477,48461924,49034324,49092073,49432989,49463082,49564752,49745893,49766552,50001109,50146249,50474773,50711277,50737707,50826264,50915979,51359917,51397705,51706537,51711435,51909686,52030862,52176920,52260164,52778046,52822582,53001462,53072494,53311598,53425885,53599093,53678612,53723173,53909893,53978185,54117790,54609769,54631273,54861949,55044782,55158069,55158864,55355268,55582628,55756789,55760346,55919446,55987371,56044772,56081893,56124246,56735949,56831960,56872393,56968292,57011053,57179547,58098468,58162969,58209284,58308429,58379894,58462729,58548740,58682173,58699035,58935909,59291204,59328949,59660317,59664205,59737028,59829262,60188277,60500829,60709028,60760285,60856340,60999128,61088437,61194517,61454372,61484120,61567933,61677246,61748877,61755668,61904654,62053722,62349637,62612304,62826889,62924053,63475755,63494185,63935955,63953353,64111062,64403485,64746217,64773822,64834573,64941348,65434606,65953167,66096469,66320132,66581854,66654037,66712318,67016653,67029277,67282429,67629909,67632349,67707472,67807453,67809092,67937277,67968709,68198352,68624019,68859790,68985277,69169635,69231320,69297253,69313549,69477085,69571844,69917773,70060868,70258488,70316312,70438842,70653598,70693869,70852633,71417053,71597046,71615294,72110173,72182185,72217749,72273435,72521877,72912342,73027608,73088749,73098998,73371310,73651213,73780944,73858772,74487589,74987278,75138793,75139849,75566375,75745717,75954205,76021622,76089806,76170906,76193022,76723146,76747390,76771213,76816477,77000713,77028685,77051012,77091664,77284182,77358549,77384888,77565385,77885235,78116749,78429188,78515675,78559077,78625789,78648997,79027033,79040799,79105851,79558702,79865533,80063960,80116990,80353389,80425214,80581688,80599885,80782838,80882564,81337813,81938869,82156059,82201705,82302613,82631748,82654838,82733709,83003562,83077584,83132763,83156120,83245213,83372502,83580013,83595284,83933252,84203737,84267229,84509877,84701720,84799813,84929869,85190084,85616223,86142757,86618622,86728122,87057999,87159549,87591349,87783758,87791960,87954190,87989966,87992835,88021609,88045572,88052228,88418372,88435220,88458277,88726213,89005238,89070910,89208309,89972948,90071955,90229966,90230468,90323278,90531987,90654399,90665229,90679650,90840728,91145046,91952473,92096868,92434422,92442973,93078462,93152708,93462282,93550462,93550635,93562869,93859024,93930013,94218810,94220869,94270693,94374685,94549705,95003589,95289435,95756110,95819497,95910133,96076752,96123085,96140388,96388478,96719862,96724960,96867790,96995785,97121348,97138789,97297509,97763197,97957453,98020052,98041705,98174014,98201737,98237389,98432749,98642046,98724189,98765955,98936926,98967575,98990564,98994829,99075044,99340093,99787344,...,5571915149578354108336606875510612366778475402675584259735442218322860241202436460910973833577077321733550776903973411934781809392945722862882446897282228376513215914315129710254603144026277125847364968341673700366392986430751445526423581412814619486887536963294499865859916896778284668792439817821626733114642363377803726865591190354050032109926719643442505536640643638131483010476736938286018817880075688131953332870316082346971223525273366274664497007834700900038086090078637137672183037481059833941911115240276124615341821632900691521113393716611462179062399309903580125355446886373769796501955832382053979157806092106904448326415732342276531121128012094271738959864710494242095656527810652596810052520257303360678302848195127409125899025618787162366073765338209563582689357147393366996811097001066811639267249788855009958296446075052945512758914037029888915315565590375259449956490775351517922142242678789418010247656886543697078454258871400550751357837941294970193745453315152295936040621973992624707854636935397836058507231261935336955589590630975798501308545829082990906350441407632750292884502366616549266830196776142058329639039922875629174378363235016385344890291249722179520542977240784079285228880550537001775174024396138331609920037360667004422871863612514272916383561125746817205681860778581794426501757034566395111568997556381900211607860578401486140194611598192963480266092001415617890130039112563866116933234405972522295964411707231064061087020498093081887717249429378555717789687684026616070996061829718354490194612288322357120639169695661708767505328266489395368337010847713545779866575187949052676384676535198305472227024321485912004404977120015938929656957080434963736452893446328233986929009226460723753068377701515220757005883442328874415861183829806914805816091837105244812707000692489217027328347705503712871804238722662728945519108211220124447214385929551704231376635531711688462504334629203422448186160151570848312410524328130330490025645362859609482941907838227445984278427472805964331601903456977691323948970099991440645097784019273866283132385822115125158864346351017293849266249455149643940195573366758242809478806687016374717999754366847999634044027298458683866630081102057067430363282558066300680123515714135424217933584424362360248724107822563337737757754245269645591643450722767560900455634905592890947849456064159235497321755939327048293202798720340651456027141566597172994321291547763956158464552544534369598432134822014314934295080415820640661683543561307809274795634073549419934659827515650353346094377196052139800160903096047245217241898937703395593771747802409389912945243674789414734828547645789399742813348250676321465041876768741798844028568320177661958277619968140366562451855844436082473989615319930416009650680348548848396165308435954374542669026936952121492690751386407718436641997592093042128208171607291884328469629587251116908263960587334233326443898277743118832369018230478824872567259833883425536846039922547828960601213087920610555519674835192867720744452543780627870345886538569002921180295738589528551598412163042938956613559156877174349237703307717814}
19548  51244493341011687339425865793770242044724126053958004633578912172554581: {97715,117258,136787,195410,234492,332027,799787,916547,1015612,1149851,1382867,1538051,1718728,1933569,1964147,2080187,2466467,2543627,2871057,2887036,3044387,3230858,3236627,3354172,3417925,3463346,4101510,4374944,4391858,4424051,4614851,4753852,4882750,4921812,5219836,5414027,5685532,5859300,5982707,6096227,6249920,6396328,6472586,6474107,6703058,7031160,7039427,7195869,7499904,7545436,7827851,7910055,8009692,8263336,8437392,8770826,8799107,8910827,9134051,9195976,9296253,9492066,9863836,9914546,10345473,10393547,10799051,11059528,11369896,11387147,11936627,12175036,12300616,12441969,12636412,12699057,12791133,13356851,13838193,14116547,14296907,14678858,14904146,15117925,15152277,15518051,15708328,16018187,16317052,16374467,16552307,16945576,16978307,17563816,17671869,17819786,18038425,18141510,18705851,19063773,19091027,19350944,19379666,19759293,19799605,20067107,20136587,20240747,20448851,20734485,20891932,21126081,21174947,21347836,21576136,21646110,21691427,21769812,22116784,22257866,22650707,22698506,23025851,23089184,23366051,23424328,23569787,23576709,23623036,23671547,23759526,24044051,24077212,24223965,24273153,24455306,24853427,24881382,24950037,25270216,25390451,25438012,25548626,25838896,25858667,25891036,25892051,25975332,26258747,26352369,26391851,26591267,26856707,26889851,27055451,27395697,27941258,28044851,28176227,28241867,28285150,28428993,28863851,29023058,29027051,29068758,29157467,29162965,29320307,29645387,29702425,29807627,29885906,30293147,30486851,30680267,30961226,31001987,31189965,31290851,31503805,31738907,31962347,32059405,32121707,32613925,32683053,32928765,33010427,33200051,33249205,33269296,33357851,33942180,34300451,34331747,34465096,34546897,34590386,34769051,34891036,34995558,35049347,35124016,35338012,35438258,35546051,35642910,35700851,35991976,36140965,36204992,36348827,36625451,36759385,37085051,37115627,37212328,37427958,37573307,37804566,38019104,38271587,38471286,38483267,38773233,39136710,39462661,39514518,39601317,39804851,39873165,39899046,40220005,40251851,40281587,40490973,40519187,40685258,40730616,40874627,40992851,41102301,41317307,41475496,41745824,41758187,41863869,42531376,42609685,42771492,42925067,43334332,43338885,43369158,43545733,43602376,43790258,44111262,44308427,44365667,44472981,44612786,44736947,44846593,44907851,45119656,45163667,45601809,45654805,45758051,45799150,45821943,46046666,46091485,46228144,46321509,46659026,46659933,46740851,46908347,46964052,47066546,47144425,47159051,47421517,47686187,47736412,47752833,47846728,47847798,48100307,48237947,48264006,48512627,48529365,49052673,49352710,49657547,49727965,49901051,50466707,50547227,50759613,50870728,51131622,51268667,51481307,51629950,51711626,51764656,51878627,51938185,52006662,52142507,52431851,52694051,52944025,53374237,53605451,53707466,53798605,53827569,53864051,54018827,54104906,54378851,54404507,54785766,54958980,54992387,55093576,55309782,55626587,55677107,56054987,56083466,56169489,56375230,56454172,56573310,56680787,56755547,56879987,56887036,57229569,57457150,57655946,58102216,58137851,58235238,58284467,58582221,58622912,58634066,59047036,59109851,59223252,59244038,59374907,59520565,59673558,60092867,60344864,60577405,60756467,60803627,60966866,61109387,61250051,61292905,61367051,61404328,61476177,61526773,61577147,61809827,61955940,61980273,62064851,62208190,62272787,62325822,62434067,62778347,63532830,63773692,63899157,63980387,64138789,64399528,64558326,64650827,64673051,64770189,64784051,64916987,65115851,65137907,65221150,65248067,65325205,65364993,65445851,65910652,65950776,66086336,66100451,66329426,66708146,66747851,67020357,67090187,67098265,67154147,67260587,67455206,67615036,67650276,67711777,67768352,67887972,67895027,68593106,68596737,68667587,68729747,68948580,69079869,69194085,69285947,69287053,69343058,69347387,69478285,69572051,69998267,70055965,70300547,70370728,70453797,70508977,70668616,70680851,70800347,70959227,71022026,71039950,71097827,71198133,71210365,71424678,71862851,71960051,72134858,72319826,72327587,72420909,72449469,72615707,72623085,72692886,72730451,72761605,72844907,73185925,73265257,73299851,73544092,73545152,73551486,73563107,73675451,73694147,73807024,74114005,74121947,74161586,74194623,74347128,74417051,74649828,74671285,74832328,74855867,74894258,75487547,75647932,75886285,75968147,76070425,76239396,76248910,76390451,76715858,76756187,76817965,76855150,77066867,77194585,77426051,77464624,77744572,77864529,77949827,78046293,78265380,78390246,78449387,78498947,78581212,78680051,78843851,79071827,79167069,79233873,79265987,79330451,79485637,79502193,79608741,79666787,79952267,79967397,80046851,80141147,80188187,80219507,80251036,80251798,80266427,80282051,80360051,80494346,80517918,80667772,81028946,81144227,81176685,81370907,81878051,81966587,82126646,82236328,82259627,82331836,82404947,82567173,82738296,82836107,82878827,82900165,82907267,82978058,83032902,83161787,83373942,83455451,83483072,83640519,83663051,83682506,83879169,83882507,84067158,84072851,84126947,84186369,84288467,84328667,84475451,84634340,84761365,85117547,85247940,85259051,85335827,85452438,85481416,85501187,85690307,85713758,85827851,86198051,86365096,86539150,86588464,86632787,86846267,86964805,87147702,87252253,87311387,87313926,87334307,87539147,87569841,87576085,87606851,87674267,87823110,87841547,87895390,87937556,88148987,88214051,88377266,88456753,88524467,88936806,89003051,89145347,89395547,89444987,89454851,89513867,89605542,89660147,89743893,89748146,89918858,90134747,90173212,90254867,90355451,90391787,90526907,90544787,90583036,90633707,90704267,90756851,90835187,90895667,90931136,90972851,90994141,91063542,91150427,91284510,91299827,91340867,91397987,91445893,91470851,91498692,91701227,91748051,91894427,92119667,92181558,92207747,92226180,92323465,92515869,92589851,92633502,92664827,92732147,92765507,92856981,92987051,93080583,93113051,93150227,93168707,93266051,93319907,93331787,93349547,93579467,93607307,93612851,93677984,93722051,93727427,93807107,93910547,93918456,93961067,94150451,94173851,94258492,94336427,94353851,94619051,94653107,94656851,94697507,94837187,94853747,94973258,95005451,95057557,95064587,95150387,95231867,95284067,95288027,95340107,95368667,95388947,95417507,95444051,95461907,95462728,95475851,95507051,95518307,95521667,95523851,95525147,95528051,95531027,96166593,96173917,96290332,96313765,96364580,96464306,96695836,96731110,97160733,97216456,97287626,97370144,97412022,97615946,98036485,98151909,98374592,98558054,99248906,99480198,99872781,...,8357872724367531162504910313265918550167713104013376389603163327484290361803654691366460750365615982600326165355960117902172714089418584294323670345923342564769823871472694565381904716039415688771047452512510550549589479646127168289635372119221929230331305444941749798789875345167427003188659726732440099671963545066705590298386785531075048164890079465163758304960965457197224515715105407429028226820113532197929999305474123520456835287910049411996745511752051350057129135117955706508274556221589750912866672860414186923012732449351037281670090574917193268593598964855370188033170329560654694752933748573080968736709138160356672489623598513414796681692018141407608439797065741363143484791715978895215078780385955041017454272292691113688848538428180743549110648007314345374034035721090050495216645501600217458900874683282514937444669112579418269138371055544833372973348385562889174934736163027276883213364018184127015371485329815545617681388307100826127036756911942455290618179972728443904060932960988937061781955403096754087760846892903005433384385946463697751962818743624486359525662111449125439326753549924823900245295164213087494458559884313443761567544852524578017335436874583269280814465861176118927843320825805502662761036594207497414880056041000506634307795418771409374575341688620225808522791167872691639752635551849592667353496334572850317411790867602229210291917397289445220399138002123426835195058668845799175399851608958783443946617560846596091630530747139622831575874144067833576684531526039924106494092744577531735291918432483535680958754543492563151257992399734093052505516271570318669799862781923579014577014802797458208340536482228868006607465680023908394485435620652445604679340169492350980393513839691085629602566552272831135508825163493311623791775744710372208724137755657867219060501038733825540992521558255569307706358083994093418278662316830186670821578894327556347064953297567532693756501943805133672279240227356272468615786492195495735038468044289414224412861757341168976417641209208946497402855185466536985923455149987160967646676028910799424698578733172687738296519526525940773899374182724465910293360050137364214218210030524562076999631550271999451066040947688025799945121653085601145544923837099451020185273571203136326900376636543540373086161733845006606636631367904468387465176084151341350683452358389336421774184096238853245982633908990572439804198080510977184040712349895759491481937321645934237696828816801554397648202233021472401442620623730960992525315341961713912193451110324129901989741273475530019141565794078209700241354644070867825862848406555093390657621703614084869417865512184122102242821468684099614220022376014482197562815153112698266042852480266492937416429952210549843677783766654123710984422979895624014476020522823272594247962653931561814003540405428182239036127079611577654962996388139563192312257410937826492704444380876675362395940881001349989665847416614678248553527345718237308850889750825138305269059883821743440901819631880915833279512252789301581116678815670941805518829807853504381770443607884292827397618244564408434920338735315761523856554961576721}
19549  51445529907657947307601929832045014847375482109100457959087894523242576: {156344,175887,293115,312656,351738,1269515,1503887,1523418,2148410,2578092,3608795,3828076,4192715,4330554,4846287,5031258,5195019,5468680,5596787,5942315,6152265,6524795,6562416,6587787,6651887,7106915,7130778,7230419,7324125,7354139,7382718,7812400,7829754,7936907,7995410,8046479,8524559,8528298,8788950,9374880,9431795,9594492,9677087,9708879,9948659,9999872,10012115,10054587,10277027,10329170,10546740,10745051,10763039,11249856,11318154,11494970,11907779,12014538,12329795,12395004,12445466,12656088,13069067,13156239,13423787,13744787,13793964,13824410,14212370,14238099,14246459,14350127,14795754,14827379,14871819,14938859,15181931,15218795,15254474,15368339,15375770,15795515,16585139,16589292,16932076,16957499,17054844,17398319,17520611,18262554,18450924,18470387,18879119,18954618,19227986,19268687,19352186,19613339,19635410,19982339,20151626,20191427,20203036,20396315,20496287,20632058,20743547,20905259,21181970,21826991,21954770,22018287,22111439,22356219,22500179,22564571,22609034,22717178,23295371,23562492,24188680,24287819,24475578,24755267,24776399,25281146,25418364,26020787,26114915,26345724,26684795,26729679,26970170,26986859,27025739,27167666,27212265,27528059,27645980,28168108,28369247,28532387,28697306,28861480,29026416,29069499,29110634,29280410,29528795,29537507,30096515,30156959,30667919,30733514,30975179,31133834,31257578,31337898,31435612,31492979,31587770,31679368,31797515,32021754,32201807,32298620,32363795,32364204,32469165,32560787,32654718,32780498,32874731,33175176,33266716,33386799,33470987,33816266,34020179,34047759,34633776,35097554,35136492,35335199,35434554,35639289,35815019,35928698,35987087,35990819,36115818,36291059,36527596,36682959,36744938,36793187,37214954,37284251,37322073,37552619,37905324,38018639,38077226,38152079,38157018,38322939,38758344,38836554,38962998,39058826,39479699,39486959,39552539,40220891,40378706,40449626,41051387,41169299,41586620,41688299,41865887,41911887,42109274,42427725,42802847,43081370,43346099,43534587,43577404,43603137,43613795,43649498,43905020,44035178,44172515,44336714,44511887,44539331,44828859,44989970,45256240,45294074,45735866,46013087,46316306,46441839,46515410,46585946,46660744,46819439,47470298,47523880,48206879,48285578,48292274,48636947,48639371,48678419,49337039,49751027,49903944,50406088,50839439,50913270,51031058,51071507,51211631,51295048,51697644,51844370,51885579,52182280,52336554,52493337,52494986,52686024,52801756,53007018,53077946,53157387,53164220,53198728,53404427,53464365,53604611,53728787,53987964,54045914,54167915,54307488,54502970,54613178,54636899,54803068,54867611,54879434,55598351,55737347,55818492,56141937,56349587,56399570,56706849,56732666,56802659,56980859,57028656,57058898,57434927,57706929,57785180,57789659,57825544,57998579,58398947,58705065,58815016,58828466,59068946,59271777,59297308,59666459,59670515,59808410,59848569,59966474,60794627,60802412,61000187,61027887,61095924,61574387,61762012,61835039,61980239,62213244,62618736,62930531,63550586,63588410,63670444,63797064,63955418,63959939,64090034,64157238,64352008,64581146,64705820,64943087,65001498,65053737,65403539,65403564,65478287,65685387,65894387,65993519,66086618,66166893,66660899,66719186,66919179,66935066,67376699,67679484,67692314,67781546,68033354,68175496,68626538,68698725,68838866,68866970,68992379,69069999,69320687,69342216,69351659,69471578,69924971,69932687,69988539,70446078,70567715,70599819,70660874,71108795,71173706,71604618,71770092,71771697,71956787,71974226,72117599,72287867,72363419,72396009,72627770,73047688,73200419,73278640,73746376,73808795,74029065,74225738,74308859,74560826,74600114,74796239,74892652,75147587,75431080,75569459,75764906,76306092,76310354,76342367,76697433,76755410,76779119,77444925,77449871,77567439,77646984,78009993,78109628,78124811,78252299,78645194,78730607,78964336,78965786,79201499,79373627,79564744,79717115,80082746,80499410,80561199,81157359,81298979,81968236,82178649,82311107,82388315,82438470,82607920,82640364,82964673,83101096,83504111,83529887,83588747,83629019,83782154,83978651,84095027,84125199,84518795,84562845,84681258,84710440,84859965,85064399,85198876,85330554,85819187,85935887,86077768,86185725,86360252,86483919,86683274,87153324,87352857,87934368,87951099,87963410,88030787,88324331,88335770,88570554,88834878,88866057,88891859,89360476,89510337,90164879,90200368,90239258,90517296,91450299,91462316,91641866,91930115,91931440,92016698,92106492,92258780,92606939,92921387,92933910,93312285,93488733,93540410,93938396,93939707,94084586,94110059,94386539,94559915,94930844,95232904,95299245,95570474,95660538,95920187,96277199,96403706,96429146,96561212,96599292,96830780,96837489,96884954,96923848,97180715,97267919,97831725,98068648,98184146,98226515,98776379,98865978,98926164,99129504,99164591,99491786,99494139,99533104,99635339,...,11143830299156708216673213751021224733556950805351168519470884436645720482404872921821947667154154643467101553807946823869563618785891445725764893794564456753026431828630259420509206288052554251694729936683347400732785972861502891052847162825629238973775073926588999731719833793556569337584879635643253466229284726755607453731182380708100064219853439286885011073281287276262966020953473876572037635760151376263906665740632164693942447050546732549328994015669401800076172180157274275344366074962119667883822230480552249230683643265801383042226787433222924358124798619807160250710893772747539593003911664764107958315612184213808896652831464684553062242256024188543477919729420988484191313055621305193620105040514606721356605696390254818251798051237574324732147530676419127165378714294786733993622194002133623278534499577710019916592892150105891025517828074059777830631131180750518899912981550703035844284485357578836020495313773087394156908517742801101502715675882589940387490906630304591872081243947985249415709273870795672117014462523870673911179181261951597002617091658165981812700882815265500585769004733233098533660393552284116659278079845751258348756726470032770689780582499444359041085954481568158570457761101074003550348048792276663219840074721334008845743727225028545832767122251493634411363721557163588853003514069132790223137995112763800423215721156802972280389223196385926960532184002831235780260078225127732233866468811945044591928823414462128122174040996186163775434498858757111435579375368053232141992123659436708980389224576644714241278339391323417535010656532978790736674021695427091559733150375898105352769353070396610944454048642971824008809954240031877859313914160869927472905786892656467973858018452921447506136755403030441514011766884657748831722367659613829611632183674210489625414001384978434054656695411007425743608477445325457891038216422440248894428771859103408462753271063423376925008669258406844896372320303141696624821048656260660980051290725719218965883815676454891968556854945611928663203806913955382647897940199982881290195568038547732566264771644230250317728692702034587698532498910299287880391146733516485618957613374032749435999508733695999268088054596917367733260162204114134860726565116132601360247031428270848435867168848724720497448215645126675475515508490539291183286901445535121800911269811185781895698912128318470994643511878654096586405597440681302912054283133194345988642583095527912316929105089068739196864269644028629868590160831641281323367087122615618549591268147098839869319655031300706692188754392104279600321806192094490434483797875406791187543495604818779825890487349578829469657095291578799485626696501352642930083753537483597688057136640355323916555239936280733124903711688872164947979230639860832019301360697097696792330616871908749085338053873904242985381502772815436873283995184186084256416343214583768656939259174502233816527921174668466652887796555486237664738036460957649745134519667766851073692079845095657921202426175841221111039349670385735441488905087561255740691773077138005842360591477179057103196824326085877913227118313754348698475406615435628}
19550  51647349553337375709302873596666539393899937029828499194210495863985669: {136801,195430,234516,273574,371089,390820,468984,527607,664054,838801,1188829,1305361,1421821,1538209,1599574,1833094,2003041,2031224,2119069,2285127,2299702,2466721,2765734,3076102,3160081,3222615,3437456,3867138,3928294,4160374,4653469,4785095,4932934,5087254,5338621,5452561,5742114,5774072,6021181,6088774,6361489,6461716,6473254,6474781,6495831,6708344,6835850,6926692,7040161,7546887,7828669,8203020,8749888,8783716,8837281,8848102,9229702,9506449,9507704,9765500,9843624,10283869,10439672,10696167,10828054,10837009,10947421,11074077,11371064,11718600,11744631,11937889,11965414,11993115,12192454,12499840,12792447,12792656,12945172,12948214,13031569,13183425,13406116,14062320,14078854,14226301,14391738,14999808,15090872,15493755,15655702,15820110,16019384,16055569,16526672,16874784,16977231,17242455,17541652,17598214,17821654,17969761,18021807,18268102,18391952,18497341,18592506,18668199,18707869,18984132,19128061,19727672,19756189,19829092,20173501,20589661,20690946,20693521,20736615,20787094,21165095,21211741,21318555,21521809,21598102,22119056,22193631,22653181,22739792,22774294,22857949,22881711,23063655,23674141,23873254,24080509,24181921,24350072,24601232,24883938,25091389,25253795,25272824,25398114,25582266,25794721,25894909,26294941,26713702,26892829,27393831,27676386,27719447,28233094,28376209,28431927,28593814,28841979,29028279,29062909,29160721,29357716,29453115,29808292,29843389,30227439,30235850,30304554,30328849,30715921,30948087,31036102,31294369,31416656,31772955,31774429,31965949,32036374,32634104,32748934,32932155,33014161,33104614,33891152,33913551,33956614,34075767,34335649,34557475,35084449,35127632,35210135,35270929,35343738,35639572,35921341,36076850,36283020,36383761,36713367,37119889,37411702,37577629,37921719,38127546,38182054,38701888,38759332,38940049,39294515,39518586,39570301,39599210,39839329,40134214,40273174,40286269,40373275,40375441,40455255,40481494,40751499,40828151,40897702,40908961,41468970,41583395,41783864,42231421,42252162,42349894,42668641,42695672,42930109,43045959,43152272,43190929,43292220,43382854,43451101,43539624,43665951,43920615,44105327,44233568,44515732,44742241,44883167,45083809,45301414,45397012,45594001,45659495,45763489,46051702,46100271,46178368,46548887,46700751,46732102,46774369,46848656,46886367,46941841,47006847,47139574,47153418,47246072,47343094,47381655,47519052,47608849,47691901,48032631,48088102,48154424,48447930,48518461,48546306,48910612,48982077,49170747,49706854,49762764,49900074,50540432,50597351,50724399,50780902,50876024,51097252,51463139,51677792,51717334,51782072,51784102,51911389,51950664,51983275,52069789,52148881,52517494,52543261,52646331,52704738,52783702,53000519,53151831,53182534,53637949,53713414,53779702,53870689,53893047,54110902,54173727,54411229,54471755,54791394,54881275,55117407,55709281,55822431,55882516,56043611,56089702,56308007,56352454,56388061,56483734,56570300,56857986,56911969,57115839,57235527,57580381,57727702,57801889,57875581,57949201,58046116,58054102,58137516,58254831,58314934,58316221,58325930,58444497,58535569,58588239,58640614,58972321,59044861,59290774,59404850,59615254,59653559,59771812,60124321,60568059,60586294,60674439,60905629,60973702,61117201,61360534,61398289,61538401,61817761,61922452,62003974,62379930,62581702,62855101,63007610,63163911,63333649,63469729,63477814,63916727,63924694,64011169,64118810,64213021,64243414,64481149,64528079,64622055,64681489,64814689,64947601,65146429,65227850,65278621,65366106,65474247,65857530,66002195,66020854,66052767,66195901,66260881,66400102,66455275,66498410,66505071,66538592,66715702,67484955,67884360,67925089,67941111,68427361,68503835,68600902,68603799,68663494,68801041,68930192,68986909,69093794,69180772,69418081,69474459,69538102,69619151,69773115,69782072,69878919,69991116,70027921,70088509,70098694,70248032,70630561,70676024,70876516,70929181,71092102,71205447,71285820,71401702,71983952,72231475,72281930,72337501,72409984,72428367,72438411,72625681,72683101,72697654,72713459,72740449,73250902,73518770,73704349,73816381,73872289,74121635,74170102,74231254,74424656,74702269,74855916,74866321,75146614,75318047,75609132,75800387,76003015,76038208,76369905,76471201,76543174,76546587,76784401,76942572,76966534,77095009,77202515,77438471,77454109,77546466,77766555,78273420,78504831,78510241,78742479,78925322,79029036,79202634,79293601,79510527,79588055,79609702,79616919,79678369,79746330,79798092,79916509,79963921,80058529,80199901,80293789,80387389,80440010,80503702,80563174,80712721,80882275,80942941,80981946,81038374,81068871,81370516,81461232,81577981,81749254,81754455,81845821,81884699,81919767,81985702,82204602,82286461,82319151,82417249,82634614,82848529,82950992,83328791,83481949,83491648,83516374,83727738,83936161,83977021,84017809,84501649,84599355,84808367,85062752,85098999,85130641,85219370,85285009,85323421,85542984,85588347,85810067,85850134,85853629,86150269,86658301,86668664,86677770,86738316,86871709,87091466,87204752,87564349,87580516,87632029,87665761,87833341,88064929,88222524,88242699,88549309,88603419,88616854,88707169,88731334,88801021,88945962,88956001,89225572,89410141,89469469,89473894,89693186,89712615,89815702,89876701,89949711,90239312,90269821,90327334,90406801,90780769,91190881,91203618,91309610,91315261,91339921,91455287,91516102,91598300,91643886,91933021,92093332,92157661,92182970,92267281,92456288,92585341,92605969,92643018,92964961,93135709,93172861,93264481,93318052,93319866,93354301,93407329,93481702,93528541,93596221,93615815,93629629,93711889,93744289,93816694,93839761,93928104,93937571,94081681,94133092,94264669,94278241,94288850,94318102,94371229,94422781,94435489,94522429,94558609,94640509,94674529,94718881,94762081,94772701,94824721,94843034,95023549,95082769,95161249,95197789,95302621,95308561,95325879,95372374,95382615,95403169,95437729,95472824,95480929,95505666,95520349,95526289,95533201,95534749,95541409,95547709,95548861,95549329,95550589,95693456,95695596,95933127,96135051,96200614,96235857,96475894,96528012,96871719,97025254,97058730,97269599,97502247,97637035,98078351,98105346,98705420,99129927,99315094,99455930,99694511,99802102,...,16715745448735062325009820626531837100335426208026752779206326654968580723607309382732921500731231965200652330711920235804345428178837168588647340691846685129539647742945389130763809432078831377542094905025021101099178959292254336579270744238443858460662610889883499597579750690334854006377319453464880199343927090133411180596773571062150096329780158930327516609921930914394449031430210814858056453640227064395859998610948247040913670575820098823993491023504102700114258270235911413016549112443179501825733345720828373846025464898702074563340181149834386537187197929710740376066340659121309389505867497146161937473418276320713344979247197026829593363384036282815216879594131482726286969583431957790430157560771910082034908544585382227377697076856361487098221296014628690748068071442180100990433291003200434917801749366565029874889338225158836538276742111089666745946696771125778349869472326054553766426728036368254030742970659631091235362776614201652254073513823884910581236359945456887808121865921977874123563910806193508175521693785806010866768771892927395503925637487248972719051324222898250878653507099849647800490590328426174988917119768626887523135089705049156034670873749166538561628931722352237855686641651611005325522073188414994829760112082001013268615590837542818749150683377240451617045582335745383279505271103699185334706992669145700634823581735204458420583834794578890440798276004246853670390117337691598350799703217917566887893235121693192183261061494279245663151748288135667153369063052079848212988185489155063470583836864967071361917509086985126302515984799468186105011032543140637339599725563847158029154029605594916416681072964457736013214931360047816788970871241304891209358680338984701960787027679382171259205133104545662271017650326986623247583551489420744417448275511315734438121002077467651081985043116511138615412716167988186836557324633660373341643157788655112694129906595135065387513003887610267344558480454712544937231572984390991470076936088578828448825723514682337952835282418417892994805710370933073971846910299974321935293352057821598849397157466345375476593039053051881547798748365448931820586720100274728428436420061049124153999263100543998902132081895376051599890243306171202291089847674198902040370547142406272653800753273087080746172323467690013213273262735808936774930352168302682701366904716778672843548368192477706491965267817981144879608396161021954368081424699791518982963874643291868475393657633603108795296404466042944802885241247461921985050630683923427824386902220648259803979482546951060038283131588156419400482709288141735651725696813110186781315243407228169738835731024368244204485642937368199228440044752028964395125630306225396532085704960532985874832859904421099687355567533308247421968845959791248028952041045646545188495925307863123628007080810856364478072254159223155309925992776279126384624514821875652985408888761753350724791881762002699979331694833229356497107054691436474617701779501650276610538119767643486881803639263761831666559024505578603162233357631341883611037659615707008763540887215768585654795236489128816869840677470631523047713109923153442}
19551  51849955306607031342762615963139226149971259523425757291223696702800020: {293145,312688,351774,410361,488525,586230,625312,703476,996081,1777321,2399361,2539030,2749641,3007774,3046836,3449553,4148601,4296820,4614153,5052313,5156184,5800707,5869801,5892441,6240561,7217590,7399401,7630881,7656152,7861321,8077145,8319241,8385430,8613171,8658365,8661108,9133161,9134713,9379981,9692574,9709881,9949681,10062516,10253775,10390038,10937360,10979645,11193574,11486089,11884630,12206875,12304530,13049590,13124832,13175574,13204513,13272153,13303774,13844553,14016961,14213830,14261556,14460838,14648250,14708278,14765436,15205289,15445261,15624800,15659508,15873814,15922513,15990820,16092958,16181465,16242081,16757645,16959241,17049118,17056596,17261713,17577900,17764241,17948121,18288681,18728929,18749760,18863590,19188984,19354174,19417758,19422321,19897318,19999744,20024230,20109174,20554054,20658340,21093480,21118281,21306313,21490102,21526078,21587607,21927065,22113721,22347001,22499712,22566889,22636308,22872641,22989940,23483553,23491841,23730165,23815558,24029076,24147761,24515101,24659590,24786365,24790008,24890932,25312176,25962841,26138134,26312478,26397321,26419433,26664013,26732481,26847574,27402153,27489574,27530893,27587928,27648820,27888759,28424740,28476198,28492918,28554841,28700254,29240321,29591508,29654758,29743638,29877718,29923853,30363862,30437590,30508948,30736678,30751540,30978361,31036419,31180641,31591030,31773281,31781849,32397153,32727389,33170278,33178584,33301193,33366461,33864152,33914998,34109688,34161441,34796638,35041222,35337713,35588201,35809881,36525108,36560881,36697145,36901848,36940774,37260365,37307741,37325907,37358713,37505201,37758238,37909236,38022553,38056681,38097171,38373399,38455972,38537374,38704372,39226678,39270820,39556621,39964678,40070553,40225033,40303252,40382854,40406072,40792630,40992574,41264116,41340313,41487094,41514579,41810518,42135121,42280061,42349641,42363940,42890721,42980513,43210481,43653982,43909540,44008561,44036574,44222878,44516521,44549465,44712438,45000358,45128921,45129142,45218068,45309313,45353775,45434356,45456831,46554153,46590742,47124984,47611009,47795081,48054561,48209113,48377360,48449165,48575638,48951156,49123401,49510534,49552798,49656921,50156573,50562292,50742329,50836728,50934921,51009481,52041574,52229830,52510141,52691448,53015607,53256929,53369590,53459358,53940340,53973718,54051478,54115275,54335332,54424530,55056118,55291960,55604089,55644665,56009521,56117553,56336216,56738494,56746265,56884109,57064774,57191319,57273081,57394612,57482893,57722960,58052832,58138998,58221268,58404961,58560820,59057590,59075014,59277879,59398815,59529569,60193030,60201321,60313918,60409761,60722241,61059313,61101041,61138265,61335838,61346553,61467028,61841521,61950358,61998481,62203455,62267668,62515156,62675796,62871224,62985958,63175540,63358736,63378243,63524841,63595030,63871565,64043508,64403614,64597240,64727590,64728408,64847921,64938330,65074281,65121574,65309436,65560996,65749462,66000313,66110081,66350352,66411833,66533432,66773598,66941974,67632532,67646273,67877641,67952121,68040358,68095518,69077553,69267552,69687613,69853145,70098153,70195108,70272984,70670398,70709361,70712875,70730127,70867229,70869108,71014641,71278578,71630038,71857396,71974174,71981638,72132153,72231636,72295309,72557645,72582118,72671895,72819459,73055192,73098073,73103801,73365918,73489876,73586374,73666409,74429908,74560281,74568502,74644146,74714765,74850111,75105238,75745769,75761321,75810648,75835081,76037278,76154452,76171353,76304158,76314036,76451261,76645878,76750921,77403065,77516688,77576001,77673108,77676153,77925996,78117652,78776241,78959398,78973918,79057107,79105078,79175553,79381801,79773801,80441782,80570121,80669553,80708441,80757412,80899252,81166353,81354569,81812233,82102774,82187091,82338598,82647721,83173240,83376598,83512729,83538721,83710733,83731774,83823774,84134553,84218548,84422129,84528681,84725601,84855450,85120961,85286979,85605694,86162740,86463901,86475965,86591553,86692198,87069174,87081153,87154808,87162913,87206274,87227590,87298996,87472401,87488895,87810040,87960921,88070356,88128689,88345030,88595645,88673428,88936161,89023774,89078662,89107275,89422881,89657718,89979940,90512480,90588148,90879441,91099513,91460553,91471732,92026174,92040801,92106041,92632612,92883678,93005961,93030820,93171892,93321488,93569895,93638878,93872553,94511415,94940596,95047760,95216721,95887041,96178215,96365121,96413758,96571156,96584548,96749609,97273894,97278742,97356838,97841775,97978001,98049159,98674078,98786295,98786701,98794801,99031281,99502054,99552313,99600153,99747615,99807888,...,25073618173102593487514730939797755650503139312040129168809489982452871085410964074099382251096847947800978496067880353706518142268255752882971011037770027694309471614418083696145714148118247066313142357537531651648768438938381504868906116357665787690993916334825249396369626035502281009565979180197320299015890635200116770895160356593225144494670238395491274914882896371591673547145316222287084680460340596593789997916422370561370505863730148235990236535256154050171387405353867119524823668664769252738600018581242560769038197348053111845010271724751579805780796894566110564099510988681964084258801245719242906210127414481070017468870795540244390045076054424222825319391197224089430454375147936685645236341157865123052362816878073341066545615284542230647331944021943036122102107163270151485649936504800652376702624049847544812334007337738254807415113166634500118920045156688667524804208489081830649640092054552381046114455989446636853044164921302478381110270735827365871854539918185331712182798882966811185345866209290262263282540678709016300153157839391093255888456230873459078576986334347376317980260649774471700735885492639262483375679652940331284702634557573734052006310623749807842443397583528356783529962477416507988283109782622492244640168123001519902923386256314228123726025065860677425568373503618074919257906655548778002060489003718550952235372602806687630875752191868335661197414006370280505585176006537397526199554826876350331839852682539788274891592241418868494727622432203500730053594578119772319482278233732595205875755297450607042876263630477689453773977199202279157516548814710956009399588345770737043731044408392374625021609446686604019822397040071725183456306861957336814038020508477052941180541519073256888807699656818493406526475490479934871375327234131116626172413266973601657181503116201476622977564674766707923119074251982280254835986950490560012464736682982669041194859892702598081269505831415401016837720682068817405847359476586487205115404132868242673238585272023506929252923627626839492208565556399610957770365449961482902940028086732398274095736199518063214889558579577822321698122548173397730880080150412092642654630091573686230998894650815998353198122843064077399835364959256803436634771511298353060555820713609408980701129909630621119258485201535019819909894103713405162395528252454024052050357075168009265322552288716559737947901726971717319412594241532931552122137049687278474445811964937802713090486450404663192944606699064417204327861871192882977575946025885141736580353330972389705969223820426590057424697382234629100724063932212603477588545219665280171972865110842254608253596536552366306728464406052298842660067128043446592688445459338094798128557440799478812249289856631649531033351299962371132953268939686872043428061568469817782743887961794685442010621216284546717108381238834732964888989164418689576936772232813479478113333142630026087187822643004049968997542249844034745660582037154711926552669252475414915807179651465230322705458895642747499838536758367904743350036447012825416556489423560513145311330823652878482192854733693225304761016205947284571569664884730163}
19552  52053350207653515405761975947932878845404429900139622664888504316834228: {214951,273602,390860,469032,527661,547148,742178,781640,879345,937968,1055214,1328108,1615927,1677602,1732207,2377658,2544151,2610722,2843642,2891047,3076418,3199148,3352567,3467767,3666188,3808545,4006082,4062448,4238138,4501327,4511661,4570254,4599404,4844551,4933442,5073007,5371025,5531468,5642887,6152204,6320162,6445230,6699133,6874912,7454407,7734276,7856588,8241151,8320748,9135967,9306938,9570190,9865868,9915151,10174508,10677242,10826385,10905122,11242687,11484228,11548144,12042362,12121951,12177548,12341047,12578145,12722978,12887527,12923432,12946508,12949562,12991662,13416688,13671700,13853384,14080322,14538861,15093774,15163087,15378151,15585057,15657338,15700207,16406040,16449151,16790361,17499776,17567432,17674562,17696204,17826945,18456795,18459404,18780007,19012898,19015408,19095151,19409647,19531000,19574385,19687248,19763361,19955661,19988525,20140951,20453287,20567738,20879344,21179551,21320745,21392334,21656108,21674018,21691257,21696151,21894842,21972375,22062417,22148154,22416367,22742128,23437200,23439127,23489262,23744551,23810721,23875778,23930828,23986230,24049327,24139437,24384908,24757951,24999680,25563487,25573677,25584894,25585312,25822925,25890344,25896428,25964527,26063138,26366850,26812232,26962087,27259951,28124640,28157708,28248151,28295385,28452602,28737425,28783476,28935607,29031261,29126637,29631133,29845977,29999616,30036345,30163761,30181744,30831081,30987510,31113665,31311404,31640220,32038768,32111138,32235153,32289117,32319967,33053344,33081151,33749568,33954462,34484910,34561025,34683367,34776967,35083304,35196428,35355313,35530925,35643308,35723337,35939522,36043614,36079807,36172327,36357151,36536204,36783904,36989385,36994682,37185012,37336398,37415738,37968264,38136185,38256122,38439425,39207201,39455344,39468717,39512378,39658184,40271361,40347002,41061487,41179322,41234361,41381892,41387042,41473230,41574188,42031687,42330190,42423482,42637110,42714297,42739377,43043618,43050381,43080151,43196204,44204287,44238112,44376151,44387262,44482137,44615457,44816577,44975407,45306362,45479584,45545793,45548588,45656385,45715898,45763422,45909967,46078951,46105017,46127310,46752007,47348282,47386545,47746508,47752951,48001567,48069965,48161018,48332047,48363842,48380465,48700144,49088525,49202464,49294189,49642447,49755417,49767876,49967167,50182778,50379065,50507590,50545648,50796228,50872497,51164532,51254527,51580145,51589442,51789818,52194957,52207951,52365847,52561833,52589882,52954925,52994551,53427404,53618647,53785658,53928967,54006367,54287981,54392287,54787662,54886925,55012321,55082407,55352772,55411161,55438894,55539247,55690951,56068951,56466188,56522585,56637357,56752418,56792945,56863854,57187628,57192151,57340687,57683958,57806061,58056558,58125818,58216753,58299151,58321442,58715432,58840017,58906230,59389951,59606167,59616584,59686778,59893447,59947017,60108151,60454878,60471700,60574281,60609108,60657698,60819151,61171951,61188945,61312567,61431842,61488861,61896174,62012753,62072204,62219551,62230641,62588738,62636977,62715777,62833312,63114367,63202865,63250951,63545910,63548858,63794407,63923293,63931898,64072748,65066647,65268208,65397127,65463007,65480973,65497868,65864310,66028322,66054861,66209228,66334317,66571951,66894151,67068657,67214551,67425425,67500537,67693713,67782304,67827102,67913228,67919165,68151534,68429009,68602927,68671298,69114950,69529567,69886113,70017151,70168898,70255264,70420270,70541858,70687476,70739887,70799647,71279144,71743265,71842682,71979727,72096151,72153700,72566040,72767522,72776585,72788647,72845887,72863457,73201025,73426734,74239778,74265801,74329197,74823404,74913151,75155258,75562447,75616087,75843438,76255092,76260457,76359487,76364108,76412047,76833785,77037151,77294551,77403776,77448127,77518664,77834585,77880098,78062361,78143945,78344745,78455407,78554551,78589030,78702727,78899287,78969425,79037172,79045951,79140602,79198420,79678658,79769551,80054385,80101687,80189037,80242951,80268428,80546348,80570047,80572538,80746550,80750882,80847607,80910510,80960577,80962988,81077217,81502998,81530167,81636795,81656302,81709447,81795404,81817922,81951245,81976207,82064551,82284151,82584177,82932151,82937940,83166790,83563951,83567728,83646967,83873801,84098407,84462842,84501247,84504324,84540665,84699788,85107741,85169551,85285327,85337282,85391344,85476847,85597161,85817047,85854487,85860218,86091918,86304544,86381858,86479951,86584440,86765708,86902202,87079248,87084607,87208497,87293047,87331902,87361951,87743885,87769327,87841230,87936007,88210654,88296367,88467136,88586385,88612521,88679551,89031464,89082967,89355127,89484482,89679847,89766334,89821745,90080527,90164551,90167618,90289545,90303151,90470877,90574951,90602828,90760927,90794024,91020487,91046047,91188002,91318990,91518193,91526978,91862345,91872247,92003757,92103404,92121727,92200542,92356736,92403073,92656327,92697151,92925537,93037385,93097774,93183151,93311167,93364951,93401502,93464204,93548738,93697312,93772734,93883682,94013694,94122967,94279148,94306836,94331407,94344727,94397287,94410247,94478937,94492144,94523647,94654327,94686188,94732951,94763310,94889551,94909207,95038104,95191951,95193065,95217698,95248687,95262151,95281807,95325151,95336887,95380951,95383802,95392545,95406151,95438407,95442727,95470951,95478367,95488951,95546767,95548567,95566927,95569447,95808413,95905369,96065262,96176204,96308848,96605421,96684929,96895860,97036922,97091385,97092612,97407495,97647065,97682361,97821224,97964154,98341494,98624193,99413708,99525528,99800148,...,33431490897470124650019641253063674200670852416053505558412653309937161447214618765465843001462463930401304661423840471608690856357674337177294681383693370259079295485890778261527618864157662755084189810050042202198357918584508673158541488476887716921325221779766999195159501380669708012754638906929760398687854180266822361193547142124300192659560317860655033219843861828788898062860421629716112907280454128791719997221896494081827341151640197647986982047008205400228516540471822826033098224886359003651466691441656747692050929797404149126680362299668773074374395859421480752132681318242618779011734994292323874946836552641426689958494394053659186726768072565630433759188262965452573939166863915580860315121543820164069817089170764454755394153712722974196442592029257381496136142884360201980866582006400869835603498733130059749778676450317673076553484222179333491893393542251556699738944652109107532853456072736508061485941319262182470725553228403304508147027647769821162472719890913775616243731843955748247127821612387016351043387571612021733537543785854791007851274974497945438102648445796501757307014199699295600981180656852349977834239537253775046270179410098312069341747498333077123257863444704475711373283303222010651044146376829989659520224164002026537231181675085637498301366754480903234091164671490766559010542207398370669413985338291401269647163470408916841167669589157780881596552008493707340780234675383196701599406435835133775786470243386384366522122988558491326303496576271334306738126104159696425976370978310126941167673729934142723835018173970252605031969598936372210022065086281274679199451127694316058308059211189832833362145928915472026429862720095633577941742482609782418717360677969403921574055358764342518410266209091324542035300653973246495167102978841488834896551022631468876242004154935302163970086233022277230825432335976373673114649267320746683286315577310225388259813190270130775026007775220534689116960909425089874463145968781982940153872177157656897651447029364675905670564836835785989611420741866147943693820599948643870586704115643197698794314932690750953186078106103763095597496730897863641173440200549456856872840122098248307998526201087997804264163790752103199780486612342404582179695348397804080741094284812545307601506546174161492344646935380026426546525471617873549860704336605365402733809433557345687096736384955412983930535635962289759216792322043908736162849399583037965927749286583736950787315267206217590592808932085889605770482494923843970101261367846855648773804441296519607958965093902120076566263176312838800965418576283471303451393626220373562630486814456339477671462048736488408971285874736398456880089504057928790251260612450793064171409921065971749665719808842199374711135066616494843937691919582496057904082091293090376991850615726247256014161621712728956144508318446310619851985552558252769249029643751305970817777523506701449583763524005399958663389666458712994214109382872949235403559003300553221076239535286973763607278527523663333118049011157206324466715262683767222075319231414017527081774431537171309590472978257633739681354941263046095426219846306884}
19553  52257537308337310240989924825834919209847417075111620025335896676237846: {19553,410403,488575,586290,625376,683935,703548,820722,977050,1113267,1172460,1250624,1406952,1582821,1660135,1992162,2363251,2516403,3554642,3566487,3916083,3998935,4265463,4582735,4614627,4798722,5078060,5499282,5749255,6009123,6015548,6093672,6357207,6855381,6899106,6914335,7400163,7690255,8297202,8593640,8794951,9228306,9480243,9616951,9667845,9820735,10104626,10312368,10319203,10400935,11308003,11362087,11601414,11739602,11784882,12121711,12332335,12481122,12644467,12718135,13007167,13960407,14355285,14435180,14798802,15206851,15221935,15261762,15312304,15371503,15571711,15633607,15722642,16015863,16154290,16183135,16357683,16638482,16770860,16913347,17089625,17226342,17316730,17322216,17554183,17969887,18063543,18266322,18269426,18378127,18759962,19084467,19385148,19419762,19424343,19487493,19535431,19899362,20125032,20507550,20780076,20994103,21061123,21120483,21598951,21874720,21959290,22120255,22175191,22387148,22640661,22654051,22972178,23074255,23165287,23300167,23460703,23486007,23742463,23769260,24150247,24153583,24413750,24609060,26099180,26130751,26249664,26255587,26351148,26409026,26422147,26511843,26544306,26547151,26607548,27031303,27070135,27315007,27689106,28033922,28427660,28519347,28523112,28538263,28921676,29296500,29416556,29423311,29530872,29667187,29913535,29926927,29992483,30410578,30481135,30697891,30851607,30890522,31249600,31319016,31747628,31845026,31981640,31987567,32088501,32185916,32208451,32362930,32370535,32484162,32511027,32668303,32730751,32842263,33222231,33515290,33856591,33918482,34027183,34098236,34113192,34323847,34430047,34523426,34556743,34700911,34746547,35155800,35197135,35233893,35341351,35528482,35597827,35813667,35896242,35979345,35998231,36577362,37124323,37291927,37311583,37457858,37499520,37560367,37727180,37804951,38166943,38377341,38377968,38708348,38835516,38844642,39094707,39139255,39334723,39495091,39550275,39794636,39795727,39999488,40048460,40218348,41108108,41316680,41696887,42058783,42186960,42236562,42474631,42612626,42678903,42980204,43052156,43175214,43355023,43854130,43995535,44227442,44342503,44554135,44694002,44999424,45133567,45133778,45272616,45670255,45745282,45979880,46022563,46481265,46794487,46967106,46983682,47389507,47460330,47631116,47800003,48058152,48166707,48294067,48295522,48688447,49030202,49107271,49319180,49488967,49572730,49580016,49781864,50464783,50624352,50931693,51166951,51376003,51722551,51727365,51925682,51967735,52164511,52276268,52624956,52794642,52838866,53328026,53464962,53615647,53682583,53695148,53909283,53926531,53995255,54065421,54626623,54648151,54804306,54979148,55061786,55175856,55297640,55492023,55777518,56004597,56123607,56592751,56676163,56849480,56889967,56935735,56952396,56985836,57028807,57109682,57384183,57400508,58010527,58480642,59183016,59268567,59309516,59487276,59678743,59683135,59755436,59847706,59953267,59968207,60250951,60520503,60727724,60792007,60807151,60875180,61017896,61473356,61503080,61768983,61956722,61993027,62039527,62072838,62080563,62209845,62361282,62369251,62940007,62943487,63182060,63495285,63546562,63563698,63635223,63955665,63973111,64565427,64794306,65454778,65789251,66116887,66340556,66357168,66418687,66580893,66602386,66674623,66732922,66784255,67303267,67728304,67828831,67829996,67959543,68219376,68322882,68573847,68645133,69006583,69190965,69334963,69593276,69939367,69947251,69955903,70082444,70353127,70582735,70675426,70874527,71022423,71176402,71484535,71619762,72132451,72241527,72545763,73050216,73111327,73121762,73394290,73803696,73881548,74324167,74513431,74520730,74615482,74651814,74717426,75010402,75163063,75274167,75516476,75589625,75753667,75761385,75769123,75818472,76045106,76113362,76194342,76746798,76794931,76911944,77024551,77074748,77384163,77408744,77590255,77684727,77902531,78453356,78541640,78746851,78884823,79113242,79444771,79890547,79929356,80090935,80141106,80450066,80606504,80678487,80765708,80812144,81123943,81221311,81315727,81362947,81585260,81872335,81985148,82181493,82528232,82680626,82761535,82974188,83029158,83158341,83621036,83646247,84112351,84270242,84430951,84560122,84699282,84727880,84834367,84891535,85128627,85295781,85415383,85445527,85593571,85781442,85961026,86169583,86420962,86525937,86712007,87084837,87188727,87307964,87482163,87597823,87819080,88017122,88073148,88107991,88359345,88445756,88549351,89033042,89098930,89273203,89420191,89424876,89483887,89517727,89530167,90000716,90192125,90257842,90258284,90436136,90618626,90682317,90690631,90707550,90868712,90913662,90986547,92147763,92844261,93108306,93181484,93529255,93755107,93883107,93929923,94249968,95222018,95318865,95323287,95382703,95455135,95590162,95897847,96109122,96418226,96754720,96759751,96898330,97151276,97169347,97794403,97902312,98232151,98246802,98796465,98998025,99021068,99042483,99105596,99313842,99750823,99771607,...,50147236346205186975029461879595511301006278624080258337618979964905742170821928148198764502193695895601956992135760707413036284536511505765942022075540055388618943228836167392291428296236494132626284715075063303297536877876763009737812232715331575381987832669650498792739252071004562019131958360394640598031781270400233541790320713186450288989340476790982549829765792743183347094290632444574169360920681193187579995832844741122741011727460296471980473070512308100342774810707734239049647337329538505477200037162485121538076394696106223690020543449503159611561593789132221128199021977363928168517602491438485812420254828962140034937741591080488780090152108848445650638782394448178860908750295873371290472682315730246104725633756146682133091230569084461294663888043886072244204214326540302971299873009601304753405248099695089624668014675476509614830226333269000237840090313377335049608416978163661299280184109104762092228911978893273706088329842604956762220541471654731743709079836370663424365597765933622370691732418580524526565081357418032600306315678782186511776912461746918157153972668694752635960521299548943401471770985278524966751359305880662569405269115147468104012621247499615684886795167056713567059924954833015976566219565244984489280336246003039805846772512628456247452050131721354851136747007236149838515813311097556004120978007437101904470745205613375261751504383736671322394828012740561011170352013074795052399109653752700663679705365079576549783184482837736989455244864407001460107189156239544638964556467465190411751510594901214085752527260955378907547954398404558315033097629421912018799176691541474087462088816784749250043218893373208039644794080143450366912613723914673628076041016954105882361083038146513777615399313636986813052950980959869742750654468262233252344826533947203314363006232402953245955129349533415846238148503964560509671973900981120024929473365965338082389719785405196162539011662830802033675441364137634811694718953172974410230808265736485346477170544047013858505847255253678984417131112799221915540730899922965805880056173464796548191472399036126429779117159155644643396245096346795461760160300824185285309260183147372461997789301631996706396245686128154799670729918513606873269543022596706121111641427218817961402259819261242238516970403070039639819788207426810324791056504908048104100714150336018530645104577433119475895803453943434638825188483065863104244274099374556948891623929875605426180972900809326385889213398128834408655723742385765955151892051770283473160706661944779411938447640853180114849394764469258201448127864425206955177090439330560343945730221684509216507193073104732613456928812104597685320134256086893185376890918676189596257114881598957624498579713263299062066702599924742265906537879373744086856123136939635565487775923589370884021242432569093434216762477669465929777978328837379153873544465626958956226666285260052174375645286008099937995084499688069491321164074309423853105338504950829831614359302930460645410917791285494999677073516735809486700072894025650833112978847121026290622661647305756964385709467386450609522032411894569143139329769460326}
19554  52462519672237285921384492379086723074637961579085135528413850535446816: {214973,254033,429902,449213,547204,781720,879435,916829,938064,1033553,1055322,1094296,1231083,1383293,1465575,1484356,1563280,1616093,1758690,1875936,1887329,2080829,2110428,2196833,2467229,2544413,2656216,2660129,2929853,2988243,3160733,3231854,3237629,3352913,3355204,3464414,3506513,4755316,5088302,5221444,5331963,5415713,5687284,5782094,6098129,6152836,6347575,6398296,6664829,6705134,6935534,7154513,7198083,7332376,7519435,7605329,7617090,8012164,8124896,8248923,8279393,8476276,8913629,9002654,9023322,9140508,9198808,9582653,9689102,9866884,9953213,10146014,10286033,10348659,10742050,11062936,11285774,11500829,12123233,12159773,12304408,12445803,12640324,12890460,13398266,13749824,13842459,14121053,14229329,14301473,14908814,14949329,15156939,15200573,15415613,15468552,15713176,15951953,16130333,16482302,16486493,16641496,17402121,17444129,17609403,17677323,17973629,18043975,18044093,18271934,18613876,18721683,18782033,19097213,19132193,19140380,19446653,19621073,19731736,19830302,20177873,20247329,20349016,20351453,20963575,21216353,21354484,21652770,21801629,21810244,22041953,22198203,22247633,22485374,22892643,22968456,23096288,23583963,23679329,23747153,23781053,24084724,24085793,24231435,24243902,24355096,24682094,24957723,24962513,25156290,25445956,25775054,25800413,25839513,25846864,25867229,25893016,25899124,25967393,25975095,25983324,26833376,26965073,27262973,27343400,27399483,27404139,27706768,27983935,28139943,28160644,28185629,28448093,28677329,29077722,29129643,29711575,29752733,29849043,30187548,30326174,30756302,30761325,31108829,31170114,31314676,31400414,32623975,32704829,32812080,32898302,32938935,33084893,33116513,33259435,33580722,34030013,34458267,34687313,34999552,35134864,35154653,35349124,35392408,35534575,35653890,36083933,36152095,36392093,36453629,36620625,36770695,36822173,36913590,36918808,37220129,37464353,37560014,37586273,38025796,38030816,38190302,38224253,38375633,38496593,38738129,38819294,39062000,39148770,39374496,39526722,39613539,39639329,39684535,39816459,39911322,39977050,40232395,40281902,40384829,40444253,40740893,40906574,41135476,41420129,41533659,41714129,41758688,41860829,42050883,42299729,42359102,42622795,42641490,42784668,42940193,43258973,43312216,43348036,43382514,43392302,43559131,43789684,43944750,43951133,44124834,44296308,44324129,44552993,44832734,45094493,45264893,45484256,45615867,45661373,45943613,46335783,46449629,46785533,46874400,46878254,46978524,47158975,47489102,47620253,47621442,47751556,47758673,47767539,47861656,47972460,48098654,48255329,48278874,48337853,48385435,48544395,48726243,48769816,49515902,49675553,49743295,49999360,50060575,50272935,50485073,50565629,50877723,51126974,51147354,51169788,51170624,51287393,51385135,51500129,51645850,51780688,51785139,51792856,51929054,52126276,52214333,52608593,52733700,53027153,53292723,53390659,53624464,53651153,53725255,53815195,53844363,53924174,53935613,54038813,54424673,54519902,54552893,54866043,55089233,55647329,55723133,55773629,56075933,56186787,56249280,56315416,56496302,56590770,56776829,56905204,57199313,57224093,57474850,57566952,57644129,57816413,57871214,58062522,58253274,58266963,58330913,58379729,59262266,59469629,59538895,59691954,59781473,59999232,60072690,60115793,60139613,60327522,60363488,61132829,61179773,61600829,61648975,61662162,61975020,62227330,62250653,62366033,62527229,62622808,62871329,63280440,63281873,63354843,63486173,63667229,63918939,63960353,64077536,64158523,64222276,64229729,64470306,64578234,64639934,64762821,64942433,65345335,65405693,65781195,65887229,65996129,66106688,66162302,66341163,66924413,67041003,67118935,67180829,67297951,67351133,67499136,67542113,67669073,67700667,67732651,67908924,67985213,68617923,68723935,68757329,68819453,68969820,69122050,69308371,69366734,69375329,69436733,69553934,69844253,70046813,70147793,70166608,70392856,70450659,70475523,70530691,70649693,70689629,70710626,70829153,70948433,70988129,71061850,71126813,71190495,71232295,71286616,71446674,71520893,71750635,71879044,72087228,72125393,72159614,72212203,72344654,72443283,72703073,72714302,72798653,72874973,72970193,73072408,73148251,73254653,73287799,73545303,73567808,73780829,73978770,73989364,74136895,74152829,74208353,74337629,74359095,74370024,74672796,74694295,74831476,74887229,74923613,74941793,75195473,75303713,75573053,75840593,75909655,75936528,75964829,76093975,76264913,76272370,76512244,76841695,76878850,77048093,77151293,77322653,77476193,77781329,77888523,78067133,78334013,78414402,78483233,78532829,78565853,78582353,78910688,78937434,78977575,79024756,79131619,79191963,79258299,79316368,79510123,79701533,79992039,80113373,80197443,80223329,80254673,80301629,80542722,80694004,80767229,80870647,81225629,81825629,82003133,82122974,82164833,82206459,82310993,82358644,82383773,82468722,82592679,82600913,82763784,82774084,82916129,82925695,82946460,83148376,83199329,83241533,83409629,83666277,83756129,83961629,84063374,84367229,84527453,84660380,84787495,84791933,84846964,84988193,85156829,85182653,85195553,85274220,85311293,85375313,85428594,85478754,85664523,85730129,85880273,86087236,86100762,86127953,86160302,86323793,86392408,86505533,86673533,86922593,86969633,86991595,87063329,87214493,87352829,87410129,87603055,87716093,87720963,87749729,87883553,87950033,88027229,88114973,88191329,88408574,88439453,88476224,88484011,88535393,88752302,88774524,88829729,88964274,88984829,89005373,89219153,89230914,89633154,89704253,89771559,89906273,89950814,89991773,90207329,90318113,90482129,90612724,90616829,90732113,90776093,90941393,90959168,91091586,91097176,91221629,91238333,91312770,91370813,91387229,91431796,91444433,91493153,91526844,91771613,91819934,91887953,91964513,91979729,92157902,92189393,92204129,92210034,92254620,92351935,92733629,92814173,92834129,92935083,92978273,93010493,93109257,93205793,93218129,93236573,93387473,93399329,93440573,93504014,93541923,93629729,93741307,93756413,93857873,93873629,94027229,94159313,94197329,94348733,94395595,94414673,94444829,94601693,94675793,94694813,94696564,94754333,94761629,94773090,94797629,94860413,94890833,95048033,95085629,95086831,95119133,95167229,95280593,95302433,95319843,95343713,95345547,95345693,95372573,95401373,95429729,95440733,95449853,95457233,95462993,95489873,95491133,95493016,95505902,95536829,95553629,95562833,95566013,95568413,95583329,95586593,95588573,95589629,96003134,96139930,96322036,96343435,96664094,96727684,96760930,97191459,97400288,98066695,98177050,98182167,98404928,98588378,99123583,99284894,99510834,99535752,99903579,99911695,99934334,...,75220854519307780462544192819393266951509417936120387506428469947358613256232892222298146753290543843402935488203641061119554426804767258648913033113310083082928414843254251088437142444354741198939427072612594954946305316815144514606718349072997363072981749004475748189108878106506843028697937540591960897047671905600350312685481069779675433484010715186473824744648689114775020641435948666861254041381021789781369993749267111684111517591190444707970709605768462150514162216061601358574471005994307758215800055743727682307114592044159335535030815174254739417342390683698331692298532966045892252776403737157728718630382243443210052406612386620733170135228163272668475958173591672268291363125443810056935709023473595369157088450634220023199636845853626691941995832065829108366306321489810454456949809514401957130107872149542634437002022013214764422245339499903500356760135470066002574412625467245491948920276163657143138343367968339910559132494763907435143330812207482097615563619754555995136548396648900433556037598627870786789847622036127048900459473518173279767665368692620377235730959003042128953940781949323415102207656477917787450127038958820993854107903672721202156018931871249423527330192750585070350589887432249523964849329347867476733920504369004559708770158768942684371178075197582032276705120510854224757773719966646334006181467011155652856706117808420062892627256575605006983592242019110841516755528019612192578598664480629050995519558047619364824674776724256605484182867296610502190160783734359316958446834701197785617627265892351821128628790891433068361321931597606837472549646444132868028198765037312211131193133225177123875064828340059812059467191120215175550368920585872010442114061525431158823541624557219770666423098970455480219579426471439804614125981702393349878517239800920804971544509348604429868932694024300123769357222755946840764507960851471680037394210048948007123584579678107794243808517494246203050513162046206452217542078429759461615346212398604728019715755816070520787758770882880518476625696669198832873311096349884448708820084260197194822287208598554189644668675738733466965094367644520193192640240451236277927963890274721058692996683952447995059594368529192232199506094877770410309904314533895059181667462140828226942103389728891863357775455604605059459729682311140215487186584757362072156151071225504027795967656866149679213843705180915151958237782724598794656366411149061835423337435894813408139271459351213989578833820097193251612983585613578648932727838077655425209741059992917169117907671461279770172274092146703887302172191796637810432765635658995840515918595332526763824760789609657098920185393218156896527980201384130339778065336378014284394385672322398436436747869569894948593100053899887113398859806819060616130284184705409453348231663885384056326031863648853640151325143716504198894666967493256068730810316698440438434339999427890078261563467929012149906992626749532104236981746111464135779658007757426244747421538954395690968116376686928242499515610275103714230050109341038476249669468270681539435933992470958635446578564201079675914283048617841853714708994654190489}
19555  52668300374695375306259815666556845539505478265304529089958593921402397: {39106,644853,684005,820806,957509,977150,1172580,1250752,1367870,1407096,1582983,1641444,1855445,1954100,2226534,2324189,2344920,2501248,2638035,2792933,2813904,3165642,3320270,3984324,4194005,4726502,4847781,5032806,5196621,5598509,5944145,6415829,6526805,7109105,7109284,7132974,7632453,7691045,7832166,7939349,7997870,8048957,8530926,8673141,9165470,9223973,9229254,9597444,9680069,10015205,10057701,10156120,10280189,10394033,10403301,10595345,10748357,10766357,10998564,11425635,11498510,12018246,12031096,12187344,12266129,12333605,12714414,13073093,13427921,13503981,13534983,13710762,13749029,13798212,13828670,13904213,14354549,14533653,14561309,14800326,14943461,15219021,15380510,15635213,15800405,16113075,16594404,16928661,17187280,17265269,17403677,17589902,17805389,17971733,18456612,18476081,18960486,19233902,19274621,19335690,19619381,19641470,19988501,20097399,20197649,20209252,20624736,20638406,20749949,20801870,20911697,21310709,21833717,22026653,22177469,22363221,22616006,22656389,22724174,23202828,23267345,23479204,23569764,23925475,24243422,24295301,24664670,24723453,24762893,24784037,24962244,25288934,25436270,25526033,26014334,26693105,26995181,27125549,27262805,27317813,27407901,27536561,27920814,28377989,28541201,28710570,28870360,29204957,29546609,29597604,29745453,30105905,30413702,30443870,30523524,30624608,30743006,30968357,31143422,31267214,31445284,31807445,31990853,32031726,32058209,32303957,32308580,32366270,32373905,32479155,32715366,32884877,33276964,33481349,33541720,33728061,33826694,33860069,34179250,34327373,34452684,34633460,34644432,34750133,35061221,35108366,35200805,35939774,35998181,36001937,36127086,36365853,36532644,36538852,36756254,36804533,37023141,37519924,37734435,37898189,38030381,38064533,38168934,38662581,38770296,38839524,38848686,38974986,39070862,39143345,39499157,39798724,40233317,40250064,40412189,41015100,41064101,41560152,41701181,41878949,41988206,42122246,42240966,42673589,43197902,43616583,43749440,43914449,43918580,44186405,44240510,44350382,44553077,44774296,44871893,45281322,45308102,45318749,45489261,45944356,46027301,46134453,46148510,46330574,46600334,46755171,46921406,46972014,47100621,47484926,47532245,47538520,48300494,48307166,48693461,48827500,49218120,49275989,49347453,49766429,50021693,50371083,51087269,51419345,51727889,52198360,52261502,52499328,52511174,52702296,52818052,52844294,53023686,53088612,53094302,53215096,53420909,53480835,54062606,54140270,54185045,54630014,54653777,54737105,54794957,54884597,55370385,55378212,55754549,56005781,56067844,56340021,56855320,57038694,57046224,57076526,57285453,57452813,57807557,57843352,58016501,58186913,58228941,58416989,58486961,58593000,58706549,58723155,58833112,58846622,59061744,59290083,59334374,59353373,59689445,59827070,59853854,59866983,59965575,59984966,59998181,60422853,60470033,60813413,60821156,60962270,61219709,61359861,61377137,61395782,61593749,61703214,61781044,62011253,62375789,62499200,62638032,62852753,63495256,63538653,63690052,63938357,63962235,63963280,63975134,63979697,64177002,64371832,64406189,64416902,64725860,64741070,64963349,64968324,65022054,65073771,65088453,65157845,65336606,65461502,65684526,65917125,66013901,66187251,66212333,66444462,67030580,67249101,67310213,67397681,67713182,67836964,68054366,68196472,68226384,68647694,68860094,69046852,69113486,69342101,69401822,69493094,69701969,69954533,70311600,70317381,70394270,70467786,70682702,70853861,71056964,71131505,71195654,71200349,71233653,71432163,71627334,71792484,71958690,71996462,72139877,72147981,72310193,72418311,72561329,72754829,73154724,73319441,74248646,74273853,74331821,74583854,74623166,74915716,74999040,75120734,75169937,75170801,75454360,75593357,75609902,76333886,76690461,76721031,76754682,76755936,76802837,77221409,77416696,77468775,77671032,77689284,77750933,77893581,78148997,78189414,78278510,78669446,78990182,79100550,79398149,79589272,79591454,79710029,79998976,80096920,80277845,80436696,80886261,81324101,81779853,82216216,82336589,82633360,82664933,83279717,83393774,83556389,83654861,84117566,84121013,84373920,84473124,84744453,84886155,84949262,85225252,85357806,85960408,86104312,86212275,86350428,86481713,86710046,86806821,87093783,87180869,87379911,87708260,87991070,88454884,88487141,88685006,88763069,88893399,89108270,89388004,89527061,89537931,89848805,89998848,90109035,90267134,90267556,90491283,90502637,90545232,90685013,90941861,91118309,91340510,91490564,91959760,92045126,92366669,92486705,92493243,92962530,93340995,93497957,93539345,93588974,93934212,93967364,93968789,94416101,94779014,94920660,95262232,95600006,95640305,95950349,96116304,96307181,96333414,96588134,96591044,96705459,96867351,96959901,97179533,97376894,98060404,98214542,98242289,98473637,98638360,98780945,98815829,98977934,99035861,99145460,99160032,99243453,99563728,99666197,99782033,...,100294472692410373950058923759191022602012557248160516675237959929811484341643856296397529004387391791203913984271521414826072569073023011531884044151080110777237886457672334784582856592472988265252569430150126606595073755753526019475624465430663150763975665339300997585478504142009124038263916720789281196063562540800467083580641426372900577978680953581965099659531585486366694188581264889148338721841362386375159991665689482245482023454920592943960946141024616200685549621415468478099294674659077010954400074324970243076152789392212447380041086899006319223123187578264442256398043954727856337035204982876971624840509657924280069875483182160977560180304217696891301277564788896357721817500591746742580945364631460492209451267512293364266182461138168922589327776087772144488408428653080605942599746019202609506810496199390179249336029350953019229660452666538000475680180626754670099216833956327322598560368218209524184457823957786547412176659685209913524441082943309463487418159672741326848731195531867244741383464837161049053130162714836065200612631357564373023553824923493836314307945337389505271921042599097886802943541970557049933502718611761325138810538230294936208025242494999231369773590334113427134119849909666031953132439130489968978560672492006079611693545025256912494904100263442709702273494014472299677031626622195112008241956014874203808941490411226750523503008767473342644789656025481122022340704026149590104798219307505401327359410730159153099566368965675473978910489728814002920214378312479089277929112934930380823503021189802428171505054521910757815095908796809116630066195258843824037598353383082948174924177633569498500086437786746416079289588160286900733825227447829347256152082033908211764722166076293027555230798627273973626105901961919739485501308936524466504689653067894406628726012464805906491910258699066831692476297007929121019343947801962240049858946731930676164779439570810392325078023325661604067350882728275269623389437906345948820461616531472970692954341088094027717011694510507357968834262225598443831081461799845931611760112346929593096382944798072252859558234318311289286792490192693590923520320601648370570618520366294744923995578603263993412792491372256309599341459837027213746539086045193412242223282854437635922804519638522484477033940806140079279639576414853620649582113009816096208201428300672037061290209154866238951791606907886869277650376966131726208488548198749113897783247859751210852361945801618652771778426796257668817311447484771531910303784103540566946321413323889558823876895281706360229698789528938516402896255728850413910354180878661120687891460443369018433014386146209465226913857624209195370640268512173786370753781837352379192514229763197915248997159426526598124133405199849484531813075758747488173712246273879271130975551847178741768042484865138186868433524955338931859555956657674758307747088931253917912453332570520104348751290572016199875990168999376138982642328148618847706210677009901659663228718605860921290821835582570989999354147033471618973400145788051301666225957694242052581245323294611513928771418934772901219044064823789138286278659538920652}
19556  52874882502861418201379692662207917961896123289239985420103325079570027: {58659,254059,429946,508066,859804,898426,1094408,1231209,1305763,1422259,1465725,1538683,1563440,1758870,1833658,1876128,2051805,2067106,2110644,2119723,2188592,2442625,2462166,2467483,2698963,2766586,2931150,2968712,3126560,3232186,3339801,3517380,3751872,3774658,4161658,4220856,4311259,4393666,4748463,4934458,4980405,5088826,5312432,5320258,5454259,5859706,5909443,5976486,6321466,6463708,6475258,6476803,6703243,6705826,6710408,6928828,7013026,7089753,7155259,7549209,8886605,9286603,9510632,10176604,10397923,10442888,10527209,10663926,10699461,10831426,10950883,11374568,11564188,11748249,11996805,12161059,12196258,12305672,12695150,12796389,12796592,13329658,13410268,13748205,13843881,13871068,14309026,14396166,14447203,14664752,15038870,15210658,15234180,16024328,16249792,16381483,16497846,16558786,16952552,17127403,17247765,17827258,18005308,18027369,18046644,18281016,18397616,19071621,19134259,19165306,19239163,19378204,19658059,19733768,19906426,20292028,20566143,20572066,20596363,20697318,20700259,20743005,20804083,21484100,22125872,22200489,22571548,22865443,23001658,23070765,23783659,24189883,24246466,24319546,24608816,24891606,25261565,25280648,25780920,25803259,25903483,26384853,26403523,26796532,27499648,27684918,27794059,28188763,28242106,28385683,28440729,28458658,28602946,28680523,28850853,29003535,29170483,29349005,29462205,29817628,29898658,30242059,30313878,30401146,30831226,30937104,30957609,31202805,31426352,31903906,32260666,32964604,32972986,33120259,33282992,33924009,34065259,34086261,34804242,34888258,34909603,35218806,35354646,35376163,35947258,36087950,36088186,36365133,36488563,36543868,36857059,36997005,37224403,37227752,37443366,37564066,37864483,37933401,38154405,38194426,38264386,38280760,38772763,38893306,39021501,39177509,39242146,39306605,39463472,39660604,40355746,40385725,40389523,40494658,40698032,40702906,41011963,41596205,41881221,41927150,42432706,42683659,42708968,43065855,43291825,43305540,43603258,43620488,43985059,44083906,44396406,44495266,44970748,45185083,45620553,45665805,45673565,45695059,45785286,45936912,46114509,46192576,46563209,46715133,46874923,46899905,46900821,47167926,47358658,47494306,47562106,47709043,48047589,48169448,48171586,48462870,48487804,48549405,48710192,49028659,49073049,49364188,49748405,49915446,49925026,50168203,50312580,50612933,50732683,50740041,50891912,51133723,51268875,51478973,51550108,51600826,51679026,51693728,51734458,51786032,51798248,51934786,51950190,51966648,52168003,52562563,52662549,53666752,53735443,53909661,53930146,54190629,54525946,54585259,54686800,54798966,54808278,54898225,55134381,55413536,55558349,55805803,55967870,56183443,56279886,56321288,56325353,56371258,56896186,57231259,57253401,57354658,57430445,57897403,57971059,58155444,58259286,58273029,58462479,58606293,58630723,59067259,59139763,59423150,59501203,59505466,59671913,59698086,60147259,60375096,60652348,60787483,60928963,61034375,61140643,61512604,61522650,62217658,62340228,62629352,62800828,62982309,63183369,63361449,63698083,64796853,64973059,65247950,65409658,65567923,65624160,65796604,65877870,66022565,66026563,66169786,66222043,66233026,66287059,66360765,66518870,66525573,67161444,67572259,67739609,67921983,67962153,68060026,68916534,69222765,69374626,69495861,69640613,69900501,69999104,70084805,70116883,70269728,70309306,70382109,70418923,70458021,70698248,70719163,70784816,71069150,71227389,71307780,71843659,71939189,72167866,72304190,72450741,72460749,72713059,72770443,72784186,72907258,72999259,73241250,73509883,73541390,73644346,73791043,73827180,73837616,73903003,74347963,74440258,74733523,74928706,74952259,75120028,75172546,75215357,75341273,75823709,76026445,76051592,76061632,76380604,76448506,76503643,76556059,76751266,76869043,76993186,77226305,77462297,77476258,77538283,77638588,77792443,78124000,78297540,78345259,78392253,78593659,78748992,78766761,78840259,79053444,79227078,79266441,79278658,79369070,79376443,79535529,79612565,79632918,79641453,79822644,79954100,79998883,80329003,80464790,80563804,80748259,80769658,80888506,80907325,81093909,81210405,81481786,81659059,81813148,81909893,81926683,81945021,82270952,82840258,82928563,83013883,83067318,83141323,83354453,83428258,83517376,83721658,83768803,83788225,84015259,84056083,84101766,84178123,84599458,84718204,84796205,85169923,85208659,85245590,85282980,85362883,85558041,85569336,85614789,85743403,85880386,86153659,86308565,86337259,86447933,86517946,86624432,86696072,86699059,86765028,86784604,87118262,87579368,87707563,87889500,87902266,88107163,88249668,88269933,88270603,88592616,88648258,88821205,88844083,89001561,89030059,89105986,89665468,89740605,89780781,89921059,89977449,90188986,90231523,90451843,90529786,90640843,90878659,90968512,91161403,91231734,91322746,91361563,91386259,91443405,91483469,91887226,91957363,92003083,92093673,92315059,92554821,92633659,92654323,92671566,92756563,92899258,93332203,93474763,93571066,93644645,93748800,93756508,93827059,93957048,93966509,94133059,94219243,94317950,94330123,94423363,94487803,94658659,94826059,94888483,94978204,95069059,95153659,95185483,95223643,95240506,95242884,95260003,95274043,95364259,95464123,95503112,95510059,95517346,95535078,95555923,95574401,95592643,95602723,95607763,95609203,95723312,95944920,95962701,96197308,96213509,96265503,96510658,96557748,96625353,96675706,96770870,97088790,97111605,97452486,97533081,97539632,98004909,98192253,98526789,99031804,99351106,99486590,99666693,99725213,99998720,...,150441709038615560925088385638786533903018835872240775012856939894717226512465784444596293506581087686805870976407282122239108853609534517297826066226620166165856829686508502176874284888709482397878854145225189909892610633630289029213436698145994726145963498008951496378217756213013686057395875081183921794095343811200700625370962139559350866968021430372947649489297378229550041282871897333722508082762043579562739987498534223368223035182380889415941419211536924301028324432123202717148942011988615516431600111487455364614229184088318671070061630348509478834684781367396663384597065932091784505552807474315457437260764486886420104813224773241466340270456326545336951916347183344536582726250887620113871418046947190738314176901268440046399273691707253383883991664131658216732612642979620908913899619028803914260215744299085268874004044026429528844490678999807000713520270940132005148825250934490983897840552327314286276686735936679821118264989527814870286661624414964195231127239509111990273096793297800867112075197255741573579695244072254097800918947036346559535330737385240754471461918006084257907881563898646830204415312955835574900254077917641987708215807345442404312037863742498847054660385501170140701179774864499047929698658695734953467841008738009119417540317537885368742356150395164064553410241021708449515547439933292668012362934022311305713412235616840125785254513151210013967184484038221683033511056039224385157197328961258101991039116095238729649349553448513210968365734593221004380321567468718633916893669402395571235254531784703642257257581782866136722643863195213674945099292888265736056397530074624422262386266450354247750129656680119624118934382240430351100737841171744020884228123050862317647083249114439541332846197940910960439158852942879609228251963404786699757034479601841609943089018697208859737865388048600247538714445511893681529015921702943360074788420097896014247169159356215588487617034988492406101026324092412904435084156859518923230692424797209456039431511632141041575517541765761036953251393338397665746622192699768897417640168520394389644574417197108379289337351477466933930188735289040386385280480902472555855927780549442117385993367904895990119188737058384464399012189755540820619808629067790118363334924281656453884206779457783726715550911209210118919459364622280430974373169514724144312302142451008055591935313732299358427687410361830303916475565449197589312732822298123670846674871789626816278542918702427979157667640194386503225967171227157297865455676155310850419482119985834338235815342922559540344548184293407774604344383593275620865531271317991681031837190665053527649521579219314197840370786436313793055960402768260679556130672756028568788771344644796872873495739139789897186200107799774226797719613638121232260568369410818906696463327770768112652063727297707280302650287433008397789333934986512137461620633396880876868679998855780156523126935858024299813985253499064208473963492222928271559316015514852489494843077908791381936232753373856484999031220550207428460100218682076952499338936541363078871867984941917270893157128402159351828566097235683707429417989308380978}
19557  53082269155738175258500597832736453542022000612894884471844642569953716: {78212,644919,762099,957607,1074755,1289706,1347639,1368010,1641612,1915018,1954300,2345160,2501504,2597623,2638305,2735740,2750487,2814192,3100659,3165966,3282888,3300739,3693249,3710890,3908200,4149879,4396725,4453068,4648378,4689840,4848279,5002496,5276070,5585866,5627808,5661987,5871607,6242487,6331284,6590499,6640540,7401687,7633239,7968648,7980387,8079635,8321803,8388010,8661035,8789559,8964729,9137527,9382867,9453004,9482199,9695562,9712887,9952747,10058739,10065612,10393242,10519539,10767463,10901059,11197018,11489623,11888290,12720755,12831658,13053610,13709203,14021287,14218210,14218568,14265948,14455235,14833483,15264906,15382090,15450019,15664332,15878698,15995740,15995889,16097914,16247139,16762835,16964467,17061852,17267047,17338835,17346282,17769719,18294387,18330940,18447946,18458508,18477979,19042725,19048403,19194888,19360138,19994487,20030410,20115402,20312240,20560378,20788066,20806602,21190690,21463539,21496714,21532714,21594249,21997128,22120567,22353883,22506635,22558305,22573843,22815987,22851270,22997020,23499083,24036492,24062192,24155219,24222755,24374688,24522667,24532258,24667210,24746769,24786583,24838179,25365035,25428828,25970839,26031499,26146186,26672227,26740887,26855125,26855842,27007962,27069966,27421524,27453827,27498058,27596424,27657340,27808426,28214435,28709098,28747959,29067306,29122618,29600652,29859639,29886922,30438042,30761020,30858099,30987907,31045977,31270426,31600810,31783079,32057467,32226150,32574283,33188808,33311459,33495665,33857322,34374560,34502487,34530538,34807354,35179804,35348627,35599223,35610778,35829763,35943466,36001879,36369699,36479319,36866819,36913224,36952162,37272035,37319267,37337409,37370347,37516763,37920972,38167927,38467804,38549242,38671380,39238762,39282940,39568867,39977002,40061963,40194798,40237459,40395298,40418504,41068339,41205755,41249472,41276812,41499898,41527377,41603740,41823394,42148267,42293099,42363159,42621418,42687987,42904419,42993767,43667434,44053306,44354938,44530423,44726442,44847987,45142859,45189587,45232012,45312778,45323467,45448348,45470817,45601719,45679835,46246839,46405656,46534690,46958408,47066483,47139528,47625703,47809847,47850950,47855859,48239543,48390999,48467387,48486844,48590602,49117403,49281127,49329340,49446906,49459479,49525786,49568074,49575755,49924488,50475179,50577868,50872540,51052066,52028668,52206363,52332387,52526347,52828209,53030419,53031969,53386210,53920887,53990362,54131925,54132279,54251098,54525610,54530003,54635626,54800683,54815802,54999947,55073122,55621303,55841628,56026807,56165049,56213435,56346099,56755978,56826043,56901683,57082402,57291639,57396579,57421140,57740720,57813523,58339959,58409914,58423003,58461239,58863219,59093218,59195208,59490906,60211810,60263363,60533619,60609755,60741987,60827404,60887740,61025299,61047048,61054359,61249216,61486012,61705235,61860967,61936714,62017639,62286844,62534428,62890568,62890725,63614890,63649059,63981706,64063452,64116418,64437635,64607914,64617160,64732540,64747810,64958310,65404887,65430732,65610043,65769754,66125859,66130499,66545143,66553928,66594609,66742899,66962698,67083440,67456122,67653388,67720138,67898779,68358500,68654746,68677929,68905368,69266920,69288864,69380467,69500266,69709147,70122442,70216732,70401610,70751889,70889123,71037987,71241459,71343159,71879548,71987083,71996362,72003874,72254172,72257379,72694305,72731706,73065288,73077704,73126379,73512508,73609066,73998187,74046282,74873169,74887539,75039848,75468870,75784727,75796378,75815435,75859063,76060762,76129066,76337868,76631947,76774867,76890755,77040443,77325162,77401239,77518539,77540592,77601687,77679048,77697372,77902179,77925285,77949972,78141724,78250939,78286690,78419963,78501035,78998314,79406323,79597448,80466634,80500128,80733719,80824378,80895219,80988307,81238043,81379703,81788919,81972803,82030200,82128202,82198449,82212417,82245755,82306163,82673539,83120304,83402362,83538583,83565223,83736659,83757898,83951805,83976412,84013459,84145867,84244492,84419829,84481932,84556887,85344279,85347178,85432979,86031987,86395804,86490619,87189847,87233166,87388929,87498880,87828898,87837160,88372810,88481020,88700764,89106154,89134725,89258199,89547129,89548592,89743786,89894099,90562644,90616204,90637498,90978522,91220983,91888712,92000243,92054602,92268906,92283975,92297020,92661148,93200668,93326487,93510342,93570523,93842812,93900035,93944028,94201242,94968547,94969852,95064490,95077040,95475755,96600988,96614332,97048235,97386922,97577687,97655000,97871925,98008823,98114487,98436240,98551978,98694906,98816805,99205783,99254679,99349539,99532858,99584107,99676483,99778305,99942625,...,225662563557923341387632578458179800854528253808361162519285409842075839768698676666894440259871631530208806464610923183358663280414301775946739099339930249248785244529762753265311427333064223596818281217837784864838915950445433543820155047218992089218945247013427244567326634319520529086093812621775882691143015716801050938056443209339026300452032145559421474233946067344325061924307846000583762124143065369344109981247801335052334552773571334123912128817305386451542486648184804075723413017982923274647400167231183046921343776132478006605092445522764218252027172051094995076895598898137676758329211211473186155891146730329630157219837159862199510405684489818005427874520775016804874089376331430170807127070420786107471265351902660069598910537560880075825987496197487325098918964469431363370849428543205871390323616448627903311006066039644293266736018499710501070280406410198007723237876401736475846760828490971429415030103905019731677397484291722305429992436622446292846690859263667985409645189946701300668112795883612360369542866108381146701378420554519839302996106077861131707192877009126386861822345847970245306622969433753362350381116876462981562323711018163606468056795613748270581990578251755211051769662296748571894547988043602430201761513107013679126310476306828053113534225592746096830115361532562674273321159899939002018544401033466958570118353425260188677881769726815020950776726057332524550266584058836577735795993441887152986558674142858094474024330172769816452548601889831506570482351203077950875340504103593356852881797677055463385886372674299205083965794792820512417648939332398604084596295111936633393579399675531371625194485020179436178401573360645526651106761757616031326342184576293476470624873671659311999269296911366440658738279414319413842377945107180049635551719402762414914633528045813289606798082072900371308071668267840522293523882554415040112182630146844021370753739034323382731425552482738609151539486138619356652626235289278384846038637195814184059147267448211562363276312648641555429877090007596498619933289049653346126460252780591584466861625795662568934006027216200400895283102933560579577920721353708833783891670824163176078990051857343985178783105587576696598518284633311230929712943601685177545002386422484680826310169186675590073326366813815178379189046933420646461559754272086216468453213676512083387902970598449037641531115542745455874713348173796383969099233447185506270012307684440224417814378053641968736501460291579754838950756840735946798183514232966275629223179978751507353723014383839310516822276440111661906516575389913431298296906976987521547755785997580291474282368828971296760556179654470689583940604152391019334196009134042853183157016967195309310243608709684845779300161699661340196579420457181848390852554116228360044694991656152168978095590946560920453975431149512596684000902479768206192430950095321315303019998283670234784690403787036449720977880248596312710945238334392407338974023272278734242264616863187072904349130060784727498546830825311142690150328023115428749008404812044618307801977412875906339735692603239027742849145853525561144126983962571467}
19558  53290463444226512252278464282511291491995863469933442045359587189585662: {97765,117318,332197,508118,859892,1016132,1719608,1732741,1796852,1934559,1965157,2052015,2188816,2442875,2462418,2544937,2611526,2660677,2844518,2872527,2931450,3077366,3126880,3238297,3419675,3468841,3517740,3667316,3752256,4103610,4134212,4221288,4239446,4377184,4617241,4748949,4885250,4924332,4934966,4960357,5188741,5397926,5533172,5566335,5862300,5937424,6253120,6464372,6666217,6679602,6972567,7034760,7503744,7549316,7681957,7914105,8019241,8300675,8323316,8378799,8441712,8622518,8787332,9138841,9496926,9868916,9918277,9960810,10177652,10583557,10624864,10640516,10908518,11356441,11719412,11816255,11818886,11952972,12125797,12235417,12441247,12454441,12582015,12642932,12927416,12950516,12953606,13406486,13411652,13420816,13545241,13857656,14026052,14179506,14304517,14310518,14543343,15098418,15167941,15490537,15589863,15705241,16026757,16561177,16795527,17518597,17773210,17832435,18047977,18573206,18891241,19021264,19247487,19580415,19994675,20251717,20353208,20795846,20885776,21054418,21327315,21327852,21398922,21662852,21806377,21901766,22320997,22526341,22749136,22897359,22913675,23073135,23128376,23496498,23548741,23752357,23818047,23854057,23993610,24146871,24322118,24392516,24611344,24867097,25390300,25571941,25592778,25593184,25872937,26019423,26073241,26659316,26772037,26820536,27070441,27269017,27496410,27671919,27687762,27742136,28257577,28618052,28746275,28749157,28792332,28894406,29040207,29043241,29329504,29336677,29824297,30045615,30077740,30173103,30421316,30468360,30697477,30840567,31182099,31209903,31786035,32048656,32139817,32245071,32299071,32499584,32762966,32995692,33117572,33187237,33376741,33565957,33905104,34037737,34254806,34276905,34319941,34495530,34571675,34788841,35366191,35654516,35721241,36010616,36054738,36093288,36184741,36369637,36461977,36562032,36795232,36798387,37000815,37289797,38143242,38268518,38293657,38330612,38451275,38478326,38747077,38756408,39198697,39219279,39316118,39467536,39812852,40283763,40453657,40511943,40584056,40604949,41088607,41132286,41144132,41164441,41192726,41247087,41394636,41400518,41486010,41608166,41712639,41782597,42046441,42968200,43063647,43095337,43600959,43683927,43788841,43974755,44251744,44391877,44400978,44830383,44905957,45143096,45332377,45657063,45730886,45926341,46003316,46141530,46905639,47401215,47567318,48084755,48266917,48339225,48379766,48431941,48492932,48639092,48678937,48843241,49103675,49217632,49783212,49823017,50523130,50561296,50785983,51512677,51561840,51596015,51606518,51795807,51806966,52004675,52211031,52463941,52769706,52807046,53092357,53416167,53593064,53915199,54026341,54566377,54999296,55029247,55369836,55428243,55588118,55711717,55787497,56089897,56377526,56484212,56540015,56771366,56810435,56881458,56915557,56917316,57205892,57361046,57701706,57823863,58007070,58234687,58321177,58340966,58394437,58698010,58858143,58924410,59412517,59484697,59635256,59797316,59844517,59965503,60131077,60292197,60484118,60592947,60608555,60627756,60802292,61195417,61265797,61406341,61661675,61662452,61874208,61915218,62104741,62249847,62312857,62405610,62735091,62852704,63222335,63275497,63590675,63807812,63932127,63942991,64021957,64521332,64826341,65035835,65158441,65290777,65488741,65501151,65659867,65929208,65945972,66079959,66240518,66532407,66565984,66662917,66791941,66920677,67089663,67241257,67305157,67560037,67848018,67969167,68130518,68172522,68450063,69608484,69618841,69647767,69741097,69776516,69802035,69819206,70437612,70708777,70709292,70752326,70828441,71007397,71716741,71776425,71894516,72009241,72125737,72175900,72176372,72183877,72473497,72730266,72875941,72885903,72977126,72990277,73087736,73161241,73714118,73994010,74170359,74173417,74288679,74352111,74395177,74448806,74455504,74560741,74886732,74944537,74999077,75128132,75647941,75728966,75866802,76021657,76034255,76109675,76286437,76308810,76388852,76444441,76528772,76561520,76578099,76857515,77069977,77121637,77327557,77378857,77545526,77786612,77858555,78043002,78089497,78168035,78355018,78484292,78588457,78613210,78637957,78926944,79128997,79321208,79804357,79852057,80079315,80183941,80278117,80325097,80402623,80418841,80711492,80771450,80779046,80883241,80915675,80985543,80989316,81204037,81376647,81396064,81405812,81788415,81953439,82012741,82023926,82101157,82223703,82609683,82969477,83192410,83518441,83643397,83726341,83762442,83854300,83899607,84539941,84566735,84865412,85014277,85133967,85208857,85367318,85417936,85448125,85516441,85623603,85894441,86131710,86375077,86583650,86611080,87160741,87206516,87240976,87334441,87403417,87437797,87608617,87614871,87770915,87970118,88011241,88167812,88338841,88563877,88639827,88792812,88990532,89034217,89126341,89236359,89518057,89636137,89849435,89941496,90209257,90237157,90317715,90370166,90375577,90512197,90647017,90780037,90832741,91091941,91241106,91269097,91331610,91347130,91390118,91418137,91540357,91546351,91570572,91872997,91873824,91890635,92011237,92101957,92229018,92235877,92385152,92431591,92495941,92601241,92704741,92765977,92846617,92905071,92965417,93126418,93251077,93430266,93432517,93691177,93749846,93799810,93801642,93995557,94259941,94335852,94396741,94462441,94707241,94717316,94763941,94797097,94943257,94972741,94988612,95020441,95066341,95110441,95124212,95317477,95324137,95356357,95409817,95418086,95422335,95467237,95499241,95531497,95538841,95545897,95549317,95562277,95576857,95606341,95625241,95628697,95837891,95972559,96095178,96174627,96338896,96343172,96911871,96925740,96975608,97098810,97121715,97420384,97437465,97677155,98057318,98118727,98146098,98654631,98728376,99496810,99830892,99850052,...,300883418077231121850176771277573067806037671744481550025713879789434453024931568889192587013162175373611741952814564244478217707219069034595652132453240332331713659373017004353748569777418964795757708290450379819785221267260578058426873396291989452291926996017902992756435512426027372114791750162367843588190687622401401250741924279118701733936042860745895298978594756459100082565743794667445016165524087159125479974997068446736446070364761778831882838423073848602056648864246405434297884023977231032863200222974910729228458368176637342140123260697018957669369562734793326769194131864183569011105614948630914874521528973772840209626449546482932680540912653090673903832694366689073165452501775240227742836093894381476628353802536880092798547383414506767767983328263316433465225285959241817827799238057607828520431488598170537748008088052859057688981357999614001427040541880264010297650501868981967795681104654628572553373471873359642236529979055629740573323248829928390462254479018223980546193586595601734224150394511483147159390488144508195601837894072693119070661474770481508942923836012168515815763127797293660408830625911671149800508155835283975416431614690884808624075727484997694109320771002340281402359549728998095859397317391469906935682017476018238835080635075770737484712300790328129106820482043416899031094879866585336024725868044622611426824471233680251570509026302420027934368968076443366067022112078448770314394657922516203982078232190477459298699106897026421936731469186442008760643134937437267833787338804791142470509063569407284514515163565732273445287726390427349890198585776531472112795060149248844524772532900708495500259313360239248237868764480860702201475682343488041768456246101724635294166498228879082665692395881821920878317705885759218456503926809573399514068959203683219886178037394417719475730776097200495077428891023787363058031843405886720149576840195792028494338318712431176975234069976984812202052648184825808870168313719037846461384849594418912078863023264282083151035083531522073906502786676795331493244385399537794835280337040788779289148834394216758578674702954933867860377470578080772770560961804945111711855561098884234771986735809791980238377474116768928798024379511081641239617258135580236726669848563312907768413558915567453431101822418420237838918729244560861948746339029448288624604284902016111183870627464598716855374820723660607832951130898395178625465644596247341693349743579253632557085837404855958315335280388773006451934342454314595730911352310621700838964239971668676471630685845119080689096368586815549208688767186551241731062542635983362063674381330107055299043158438628395680741572872627586111920805536521359112261345512057137577542689289593745746991478279579794372400215599548453595439227276242464521136738821637813392926655541536225304127454595414560605300574866016795578667869973024274923241266793761753737359997711560313046253871716048599627970506998128416947926984445856543118632031029704978989686155817582763872465506747712969998062441100414856920200437364153904998677873082726157743735969883834541786314256804318703657132194471367414858835978616761956}
19559  53499468491170755374813669684962006778597976885888560625212460016525179: {19559,156424,175977,762177,1074865,1270165,1289838,1504657,1524198,1915214,2149510,2246065,2579412,2695278,2736020,3283224,3652297,3693627,3830036,3908600,3917289,4266777,4397175,4584145,4616049,4690320,5003008,5167765,5195246,5276610,5471480,5500974,5628384,6155415,6201318,6331932,6359169,6565776,6601478,6916465,7327875,7386498,7402449,7421780,7816400,8080465,8096889,8299758,8793450,8797657,8906136,9296756,9379680,9436645,9696558,10004992,10019403,10082017,10404145,10552140,10984165,11171732,11255616,11311489,11323974,11743214,12125449,12336145,12484974,12648361,12662568,12722065,12933777,13011169,13180998,13281080,13300645,13592197,14245389,14649265,14803374,14941215,15211537,15266478,15803665,15937296,15960774,16159270,16188145,16362777,16400341,16643606,16764565,16776020,16918561,17322070,17532565,17559589,17579118,17728329,17809057,17929458,18275054,18765734,18906008,18964398,19391124,19425774,19430409,19541449,19905494,20109729,20117478,20131224,20237329,20786484,21000577,21039078,21067609,21269259,21465777,21534926,21605617,21802118,22394036,22511749,22647627,22882057,22979246,23172421,23467969,23501497,23749777,23776580,24161029,24274369,25441510,25663316,26107220,26138809,26263681,26430289,26555329,26659815,27078565,27131137,27418406,27859809,27979897,28042574,28436420,28437136,28531896,28547077,28910470,29666966,29936149,30001729,30490645,30529812,30683689,30764180,30900038,31193769,31328664,31509289,31581627,31737875,31757396,31991480,31991778,32098383,32195828,32494278,32678377,32740837,32852649,33314881,33324145,33380197,33488257,33525670,33911857,33928934,34123704,34440661,34534094,34677670,34692564,35244747,35353369,35511049,35539438,35602897,35608801,35772565,35990415,36009349,36483177,36588774,36661880,36895892,36917016,36955958,37323109,37520617,37597175,37816609,38026645,38085450,38096806,38178709,38389167,38389776,38720276,39346849,39500209,39507289,39808009,39988974,40060820,40230804,40624480,41120756,41190469,41244615,41396965,41531643,41576132,41613204,41709769,42071809,42381380,42487729,42824857,42927078,42993428,43065428,43188498,43341609,43569877,43994256,44241134,44356177,44568145,44707766,45013270,45116610,45147686,45631974,45702540,45849289,45994040,46036777,46808929,46893931,46998166,47814769,47913265,48072984,48124384,48310438,48445510,48661957,48664561,48703489,48749376,49045334,49064516,49144449,49334420,49362409,49493538,49573166,49676358,49766065,49776697,50177221,50480377,50506009,50730070,50763361,50857656,51382209,51430165,51743295,51941678,52062998,52180849,52292372,53344454,53481774,53699209,53710250,53711684,54015924,54082107,54139932,54665029,54843048,54895921,54907654,54996116,55192848,55314680,55616852,56428870,56610217,56907541,57010369,57214863,57402777,57418196,57495918,57504145,57688057,57717489,58028449,58134612,58245236,58974177,59201304,59554297,59719278,59773844,60269569,60616165,60798865,60810769,60825937,60876084,61389781,61470529,61522040,61698429,61716198,61789089,61975814,62091954,62100777,62229015,62412249,62540852,63201620,63566158,63629509,63951769,63992869,64114934,64419457,64444549,64452300,64874617,65148566,65809777,66377616,66439249,66601467,66622918,66991330,67058497,67674121,67714644,68596329,68749120,69004974,69061076,69212295,69356377,69406057,69614708,69977569,70359608,70605265,70697254,70896421,71146645,71198446,71215177,71221556,71350977,71461249,71507365,71659526,71886932,72003758,72154729,72569649,72576277,72629377,72739398,72958638,73238329,73733638,73826448,73904324,74347129,74544070,74638534,74674818,74740694,74746645,75033526,75186277,75784695,75792529,75841944,76002865,76335854,76482949,76818649,76935608,77078065,77098484,77237317,77342760,77409777,77433697,77710449,78165121,78477524,78565880,78698809,79076197,79137734,79154559,79210569,79759765,79954004,80123926,80389596,80405797,80474918,80651665,80790596,80837008,81246409,81340849,81388081,82136678,82353577,82411510,82432465,82498944,82553624,82999796,83054754,83207480,83382177,83646788,83672089,83745301,84138337,84296534,84566289,84586198,84726318,84853657,84860641,85157049,85242836,85322187,85375974,85441777,85808838,85987534,86041569,86106361,86387329,86552559,87010605,87220645,87334868,87511449,87645841,88047015,88106612,88135429,88205269,88386615,88709876,89060846,89452884,89511601,89695974,89868145,90212689,90219875,90220465,90285718,90379174,90464024,90521281,90625556,90646934,90726177,90896696,90941634,91203438,91359670,91589989,91989241,92385697,92493678,92655049,92811312,92872827,93069380,93608415,93910165,93916816,93988177,94132966,94279056,94279177,95085049,95251406,95412577,95486065,95619694,95660965,95701900,95711718,95879269,96479086,96781998,96790177,96876949,96934774,96973688,97181204,97233265,97881097,98019097,98105365,98234806,98562254,98658680,98893812,98918958,99051572,99136148,99151510,99360777,99401569,99848976,...,451325127115846682775265156916359601709056507616722325038570819684151679537397353333788880519743263060417612929221846366717326560828603551893478198679860498497570489059525506530622854666128447193636562435675569729677831900890867087640310094437984178437890494026854489134653268639041058172187625243551765382286031433602101876112886418678052600904064291118842948467892134688650123848615692001167524248286130738688219962495602670104669105547142668247824257634610772903084973296369608151446826035965846549294800334462366093842687552264956013210184891045528436504054344102189990153791197796275353516658422422946372311782293460659260314439674319724399020811368979636010855749041550033609748178752662860341614254140841572214942530703805320139197821075121760151651974992394974650197837928938862726741698857086411742780647232897255806622012132079288586533472036999421002140560812820396015446475752803472951693521656981942858830060207810039463354794968583444610859984873244892585693381718527335970819290379893402601336225591767224720739085732216762293402756841109039678605992212155722263414385754018252773723644691695940490613245938867506724700762233752925963124647422036327212936113591227496541163981156503510422103539324593497143789095976087204860403523026214027358252620952613656106227068451185492193660230723065125348546642319799878004037088802066933917140236706850520377355763539453630041901553452114665049100533168117673155471591986883774305973117348285716188948048660345539632905097203779663013140964702406155901750681008207186713705763595354110926771772745348598410167931589585641024835297878664797208169192590223873266787158799351062743250388970040358872356803146721291053302213523515232062652684369152586952941249747343318623998538593822732881317476558828638827684755890214360099271103438805524829829267056091626579213596164145800742616143336535681044587047765108830080224365260293688042741507478068646765462851104965477218303078972277238713305252470578556769692077274391628368118294534896423124726552625297283110859754180015192997239866578099306692252920505561183168933723251591325137868012054432400801790566205867121159155841442707417667567783341648326352157980103714687970357566211175153393197036569266622461859425887203370355090004772844969361652620338373351180146652733627630356758378093866841292923119508544172432936906427353024166775805941196898075283062231085490911749426696347592767938198466894371012540024615368880448835628756107283937473002920583159509677901513681471893596367028465932551258446359957503014707446028767678621033644552880223323813033150779826862596593813953975043095511571995160582948564737657942593521112359308941379167881208304782038668392018268085706366314033934390618620487217419369691558600323399322680393158840914363696781705108232456720089389983312304337956191181893121840907950862299025193368001804959536412384861900190642630606039996567340469569380807574072899441955760497192625421890476668784814677948046544557468484529233726374145808698260121569454997093661650622285380300656046230857498016809624089236615603954825751812679471385206478055485698291707051122288253967925142934}
19560  53709287431404218190497613156102619780327528193893788493241611670833849: {136871,195530,234636,332231,371279,566399,664394,1016236,1033871,1150559,1383719,1616591,1719784,1732919,1887911,1934757,2004071,2032264,2197511,2286297,2467991,2545199,2660951,2699519,2872821,3046271,3224265,3353951,3420025,3439216,3465482,3469199,3507599,3593704,3869118,3930314,4042917,4104030,4377632,4388591,4655879,4787545,4846559,4885750,4924836,5089874,5223052,5227319,5321354,5645231,5689036,5745054,5862900,5986439,6154732,6253760,6476594,6666911,6704639,6780071,6839350,6937682,7035480,7269599,7334632,7504512,7607711,7792869,7914915,8020079,8057519,8207220,8251461,8268424,8394119,8442576,8478892,8754368,9139799,9234482,9277225,9288551,9301977,9362879,9497898,9696959,9770500,9848664,9869932,9902217,9920714,9956351,10377482,10400111,10795852,11066344,11079747,11132670,11137151,11394359,11614511,11620945,11724600,11874848,12127079,12163631,12236711,12449637,12492239,12506240,12928744,13038479,13190175,13220159,13332434,13359204,13945134,13964665,14069520,14233871,14522351,14544837,14774351,15007488,15098632,15205439,15363914,15527999,15828210,16038482,16064159,16456199,16542757,16601350,16646632,16757598,16883424,16985961,17245036,17574664,17614821,17979431,18155591,18277682,18727461,18893279,18928319,18993852,19243319,19737832,19771497,19836554,19921620,20355304,20358071,20462159,20600831,20970025,21167114,21249728,21281032,21395711,21705599,21817036,21911831,22205061,22562999,22712882,22870439,22899717,23040959,23438824,23585279,23632510,23637772,23788871,23856671,23905944,23941161,24195191,24238905,24251594,24470834,24768839,24882494,24908882,24965409,25164030,25285864,25854832,25875791,25901032,25907212,25909199,25975991,25983105,26076119,26368677,26608919,26808191,26812972,26823304,26841632,26894187,27073439,27090482,27272039,27412581,27715312,27992545,28052104,28148601,28260719,28359012,28391999,28446597,28457591,28609034,28621036,28752359,29079119,29086686,29138661,29339951,29665271,29720725,29858241,29860079,30176217,30196836,30313511,30335882,30507359,30700919,30733151,30894191,30981074,31179726,31215671,31410482,31558617,31600391,32053514,32079145,32143439,32302389,32334551,32461799,32634025,32703177,32715911,33122354,33190991,33222599,33569759,33591054,34072991,34355159,34468869,34792799,34917551,35037194,35545525,35546420,35664870,36095954,36096311,36188879,36404591,36496919,36834839,37110599,37146412,37294079,37324631,37782482,38042528,38162265,38455225,38494974,38781719,38842031,39160830,39203231,39233279,39696745,39989350,40244785,40458359,40503434,40547471,40706416,40755119,40843991,41080631,41127609,41522951,41591692,41728751,41771552,42063861,42108836,42168431,42654630,42655704,42797844,43100399,43216319,43325704,43361039,43365705,43612754,43793999,43803532,44339831,44500449,44568791,44641994,44911271,44939759,45052682,45110519,45195791,45366119,45498272,45794718,45827350,45931799,45959999,46119865,46146270,46213439,46256752,46350057,46886111,46941959,46992996,47097482,47192879,47504714,47636094,47708114,47720471,47775839,47987220,47987667,48134951,48293742,48355271,48400345,48437759,48644236,48684791,48741417,48785032,49040471,49095071,49222688,49666439,49734194,50076025,50234279,50288505,50584031,50744999,50780600,50798591,50893401,51143882,51146159,51185556,51186368,51400945,51745874,51801141,51970165,52016505,52038846,52146482,52233479,52627919,52976725,53124959,53309157,53318632,53544074,53641072,53741785,53748671,53831785,54032999,54058799,54140882,54213431,54538034,54573119,54598751,54883161,54992820,55343838,55363991,55375524,55433937,55484272,55566839,55668071,55743911,55819679,56096879,56197439,56515154,56548391,56947559,57128175,57145209,57236104,57492550,57498314,57584664,57739751,57788812,57911951,58080414,58086482,58181759,58328519,58352951,58659008,58673354,58694159,59516279,59648594,59804231,59983461,60091230,60138719,60155480,60162551,60281591,60346206,60802991,60842632,60850199,60936720,60944519,61203239,61273631,61297079,61330645,61394954,61437599,61564657,61668025,61681134,62251559,62364198,62419806,62459279,62804039,63306431,63374639,63572070,63759791,64052759,64097312,64254791,64279634,64390617,64490142,64523159,64598142,64634639,64782747,64834799,64856999,64967879,64999168,65100671,65189039,65299319,65321351,65365465,65431391,65497319,65525932,65585111,65913191,65991384,66235144,66361701,66374474,66412751,66753482,66929519,66950951,67061649,67131914,67139605,67318657,67519905,67590191,67674915,67721529,67810208,67843871,68075474,68264111,68447961,68509612,68553810,68639882,68722679,68745145,68847071,68991060,69033119,69143350,69197951,69464711,69521065,69566951,69577682,69750479,70135799,70176191,70497249,70732382,70738319,70778231,70857959,70977311,71309032,71442482,71451839,71608991,71772745,71863271,72021232,72109476,72135599,72154991,72186576,72234421,72369482,72465657,72483431,72502679,72668265,72739274,72790439,72806545,72828671,72885959,72905039,72923954,73019351,73124064,73170757,73567799,73568001,73590464,73596774,73736639,73867511,74001630,74239271,74240307,74359749,74405519,74514537,74579594,74717305,74973191,75009551,75389399,75658559,76095105,76286484,76349951,76525271,76537036,76587314,76612631,76661224,76902550,76956652,77132591,77149799,77355671,77494154,77512816,77560391,77594399,77865311,77912517,78094497,78176065,78397394,78438558,78500519,78566711,78616271,78632236,78649271,78665759,78862991,78935072,79002025,79010159,79156021,79534609,79625704,79640399,79815959,80016681,80116919,80195639,80211359,80222661,80336831,80352479,80430599,80446199,80565375,80567526,80802791,80895529,80907314,81023886,81168112,81209898,81412871,81638351,81713111,81906551,82039679,82177214,82264572,82288264,82328882,82361481,82385452,82420631,82494174,82565711,82789272,82801036,82972020,82981919,83038799,83166311,83216332,83279111,83321279,83425278,83544959,83565194,83614439,83835431,84040751,84092882,84149519,84203711,84566159,84643305,84851977,85221959,85234871,85389191,85414799,85580471,85656479,85769951,85870271,85920239,85936400,86127294,86190674,86243877,86278679,86326345,86388551,86534039,86642399,86785871,87018385,87104471,87139511,87186119,87201918,87305977,87367854,87394271,87577682,87622511,87633839,87690359,87757919,87791591,87825191,87869879,87949510,87992111,88025279,88157231,88233671,88298879,88482071,88503488,88511269,88514159,88609991,88736759,88778759,88783754,88801956,88924751,89026945,89058911,89181551,89413391,89483111,89532671,89542559,89578917,89601719,89660591,89660766,89738639,89811914,89858665,90036239,90064631,90224159,90261359,90286192,90390551,90399719,90527231,90554351,90664754,90671039,90777551,90847919,90856679,90926471,90987119,91050169,91208951,91314126,91433591,91461772,91539671,91563959,91795031,91841999,91852682,91888679,92006632,92034599,92049791,92214791,92283060,92346911,92380405,92511959,92519039,92574297,92720879,92788919,92802431,92882831,92902751,92963721,93027239,93046631,93123479,93137931,93180359,93248999,93286031,93377351,93419351,93508031,93640511,93707951,93713519,93770149,93811278,93823199,93860831,93871511,93924431,94012559,94043111,94191551,94210799,94309751,94414079,94431791,94466831,94479839,94497071,94509911,94610039,94646399,94701671,94728719,94747799,94759151,94781639,94802430,94861631,94924199,94930991,94980911,94993919,95041559,95084399,95128559,95134636,95190071,95221991,95229791,95265239,95315471,95342591,95349237,95355719,95374871,95411231,95452151,95462639,95497079,95501711,95518079,95519519,95546639,95550431,95564879,95581319,95595959,95611151,95622479,95625599,95626199,95637791,95640119,95644919,95647031,95647439,95648279,96169510,96172401,96373105,96533834,96678450,96759532,96863882,96985864,97278184,97357874,97686482,97722849,98096905,98207350,98435264,99154081,99566424,99646034,99934377,99942505,...,676987690673770024162897735374539402563584761425083487557856229526227519306096030000683320779614894590626419393832769550075989841242905327840217298019790747746355733589288259795934281999192670790454843653513354594516747851336300631460465141656976267656835741040281733701979902958561587258281437865327648073429047150403152814169329628017078901356096436678264422701838202032975185772923538001751286372429196108032329943743404005157003658320714002371736386451916159354627459944554412227170239053948769823942200501693549140764031328397434019815277336568292654756081516153284985230686796694413030274987633634419558467673440190988890471659511479586598531217053469454016283623562325050414622268128994290512421381211262358322413796055707980208796731612682640227477962488592461975296756893408294090112548285629617614170970849345883709933018198118932879800208055499131503210841219230594023169713629205209427540282485472914288245090311715059195032192452875166916289977309867338878540072577791003956228935569840103902004338387650837081108628598325143440104135261663559517908988318233583395121578631027379160585467037543910735919868908301260087051143350629388944686971133054490819404170386841244811745971734755265633155308986890245715683643964130807290605284539321041037378931428920484159340602676778238290490346084597688022819963479699817006055633203100400875710355060275780566033645309180445062852330178171997573650799752176509733207387980325661458959676022428574283422072990518309449357645805669494519711447053609233852626021512310780070558645393031166390157659118022897615251897384378461537252946817997195812253788885335809900180738199026594114875583455060538308535204720081936579953320285272848093979026553728880429411874621014977935997807890734099321976214838242958241527133835321540148906655158208287244743900584137439868820394246218701113924215004803521566880571647663245120336547890440532064112261217102970148194276657448215827454618458415858069957878705867835154538115911587442552177441802344634687089828937945924666289631270022789495859799867148960038379380758341774753400584877386987706802018081648601202685849308800681738733762164061126501351675012472489528236970155572031955536349316762730089795554853899933692789138830805055532635007159267454042478930507560026770219979100441445535137567140800261939384679262816258649405359641029536250163708911795347112924593346628236367624140044521389151907297700341556518810036923053320673253443134160925906209504380874739264516852270522207840394550542698898826887669539936254522061169043151517931550466829320334985719549726169740293894890720930962564643267357992740874422847106486913890281668538963412068751821812457173058002588027402128559549471050901585927930730826129054537337900485098984020589738261371545545172557662348685080134084974968456506934286772839682761361926293448537790052002707439304618577292850285963945909059994851010704354071211361109349162933640745788938132835715003177222016922069816836202726793850589561218713047390182354182495640492475933428070450984069346286247025214436133854923405932238627719019207077809717083228547437560576683432380951887714401}
19561  53919923411794900896222069938648203188645348527701655421408687287194715: {39118,293295,312848,351954,996591,1270295,1504811,1524354,1778231,2149730,2540330,2579676,3009314,3048396,3144491,3830428,4081979,4299020,4316351,4492130,5158824,5198223,5390556,5472040,5803677,5895471,6156045,6417803,6528815,6566448,7111295,7234871,7304594,7328625,7387254,7634811,7660072,7693415,7817200,7834578,7982031,8533554,8617581,8794350,9168290,9226811,9232098,9380640,9683051,9714891,10006016,10259025,10335530,10390492,10397231,10406523,10553220,10598615,10942960,11001948,11256768,11312651,11915111,12213125,12269903,12310830,12337415,12402636,12663864,12718338,13077119,13131552,13202956,13211303,13494815,13832930,13851723,13908491,14246847,14255231,14358971,14565803,14655750,14772996,14804898,14843560,14881071,14948063,15191279,15377831,15566223,15632800,15640031,16160930,16193778,16595351,16599516,16699005,16920299,17270603,17531399,17586900,17595314,17810891,17812272,17977271,18593512,18620903,18759360,18873290,19393116,19625423,19994663,19998651,20009984,20038806,20164034,20203871,20508971,20808290,20917701,21104280,21556295,21840443,21968330,22033451,22125131,22184303,22343464,22511232,22622978,22647948,22663403,23045871,23309759,23470391,23486428,23742315,24057723,24163511,24250898,24302783,24545591,24672290,24770519,24902025,24969948,25136397,25296722,25325136,25444130,25533911,25867554,26022338,26266379,26361996,26562160,26601290,27003503,27042431,27133931,27184394,27271295,27326231,27416523,28386731,28490778,29213963,29298530,29547215,29555711,29606748,29754831,29882430,30004811,30423074,30532956,31607330,31750671,31874592,31921548,32000711,32064071,32068103,32318540,32376290,32384015,32725554,32800682,33067151,33287212,33516215,33529130,33552040,33837122,33870503,34041191,34069323,34337951,34444199,34644140,34760891,35065130,35119178,35158236,35448765,35456658,35612459,35618114,35776295,35858916,36377391,36550108,36706251,36815879,37307279,37323741,37363323,37531468,37746045,37812016,37909991,37928796,38182631,38782248,38851548,38860818,39082898,39350891,39577031,39810988,40219458,40234956,40245743,40262448,40424651,40474658,40635723,41572968,41714063,41921303,42001154,42076151,42078156,42135218,42538518,42686903,42913551,42931554,43069852,43211234,43372871,43604236,43630029,43927991,44031191,44433025,44788072,45023498,45295254,45503823,45764114,45958492,46344842,46433015,46471611,46653803,46769589,46935938,47002994,47115723,47499554,47553160,48080271,48233903,48322058,48548738,48708503,49683531,50037131,50081591,50386581,50883020,51035711,51188159,51243323,51326632,51743903,51989615,52214440,52277618,52527362,52555791,52636045,52860578,53110658,53237303,53319630,53497305,53637719,53704751,54143931,54157130,54262274,54754415,54836812,55632779,55719618,55959794,56085148,56673723,56872840,56874272,57063792,57094154,57512663,57742461,57820940,57955751,58034423,58204871,58435031,58724831,58741245,59333932,59371691,59703311,59872298,59978171,59984025,59993063,60003458,60016763,60755151,60805295,60832199,60981290,61059624,61238603,61367378,61396103,61528360,61800076,62030411,62387538,62395403,62657328,62872151,62969399,63018578,63163254,63475750,63514792,63981945,63982960,63983556,64196766,64391656,64426091,64988556,65356754,65419131,65481674,65623559,65705298,66232991,66629762,66648290,66702071,66760394,66962991,66976514,67051340,67078571,67331051,67579023,67823714,67857868,68017751,68247408,68692077,68741025,68881322,69034991,69068188,69219405,69347471,69355340,69385128,69672491,69723503,69968159,69976379,69984791,70382351,70489494,70646223,70706738,71022098,71078876,71205794,71217602,71222591,71257071,71454141,71545130,71562171,71980830,72002231,72018698,72236015,72440613,72583751,72966354,73177548,73323760,73791784,73834032,73911916,74013431,74354783,74601291,74646218,75041234,75194350,75633218,76053290,76170900,76193612,76357418,76389611,76715823,76778334,76779552,76871903,77245271,77440552,77441771,77618811,77775191,78058269,78219723,78693698,79000418,79014578,79250951,79422671,79616018,79977948,80121640,80316111,80461608,80505803,81004991,81211323,81248960,81349223,81807051,81854603,81907415,81997991,82241512,82380938,82489230,82793930,83015757,83063286,83152264,83226408,83419538,83555819,83680703,84143618,84146999,84163391,84328031,84762760,84772731,84862631,84869399,84975458,85118411,85480943,85637015,85649714,85854156,85986856,86115359,86130856,86238825,86247471,86376996,86508431,86683218,87120621,87129723,87139754,87207803,87988512,88010031,88379279,88482268,88522103,88712354,88790711,89136290,89415532,89472891,89520839,90026540,90136845,90233220,90295372,90519309,90530603,90713099,90728303,91263948,91405080,91512551,91698578,91988080,92073554,92092431,92395211,92521701,93546297,93589799,93617858,93629709,93787862,93996332,94288391,94988111,95358105,95629538,95671295,95826530,96145968,96195815,96248768,96419451,96620876,96735213,96891020,96897213,97210091,97323914,97329122,97406978,97498752,98090668,98129032,98272703,98288898,98290295,98308271,98504303,98668840,98724818,98847371,98987076,99146332,99352716,99532130,99553394,99561711,99605303,...,902650254231693365550530313832719203418113015233444650077141639368303359074794706667577761039486526120835225858443692733434653121657207103786956397359720996995140978119051013061245709332256894387273124871351139459355663801781734175280620188875968356875780988053708978269306537278082116344375250487103530764572062867204203752225772837356105201808128582237685896935784269377300247697231384002335048496572261477376439924991205340209338211094285336495648515269221545806169946592739216302893652071931693098589600668924732187685375104529912026420369782091056873008108688204379980307582395592550707033316844845892744623564586921318520628879348639448798041622737959272021711498083100067219496357505325720683228508281683144429885061407610640278395642150243520303303949984789949300395675857877725453483397714172823485561294465794511613244024264158577173066944073998842004281121625640792030892951505606945903387043313963885717660120415620078926709589937166889221719969746489785171386763437054671941638580759786805202672451183534449441478171464433524586805513682218079357211984424311444526828771508036505547447289383391880981226491877735013449401524467505851926249294844072654425872227182454993082327962313007020844207078649186994287578191952174409720807046052428054716505241905227312212454136902370984387320461446130250697093284639599756008074177604133867834280473413701040754711527078907260083803106904229330098201066336235346310943183973767548611946234696571432377896097320691079265810194407559326026281929404812311803501362016414373427411527190708221853543545490697196820335863179171282049670595757329594416338385180447746533574317598702125486500777940080717744713606293442582106604427047030464125305368738305173905882499494686637247997077187645465762634953117657277655369511780428720198542206877611049659658534112183253158427192328291601485232286673071362089174095530217660160448730520587376085483014956137293530925702209930954436606157944554477426610504941157113539384154548783256736236589069792846249453105250594566221719508360030385994479733156198613384505841011122366337867446503182650275736024108864801603581132411734242318311682885414835335135566683296652704315960207429375940715132422350306786394073138533244923718851774406740710180009545689938723305240676746702360293305467255260713516756187733682585846239017088344865873812854706048333551611882393796150566124462170981823498853392695185535876396933788742025080049230737760897671257512214567874946005841166319019355803027362943787192734056931865102516892719915006029414892057535357242067289105760446647626066301559653725193187627907950086191023143990321165897129475315885187042224718617882758335762416609564077336784036536171412732628067868781237240974434838739383117200646798645360786317681828727393563410216464913440178779966624608675912382363786243681815901724598050386736003609919072824769723800381285261212079993134680939138761615148145798883911520994385250843780953337569629355896093089114936969058467452748291617396520243138909994187323301244570760601312092461714996033619248178473231207909651503625358942770412956110971396583414102244576507935850285868}
19562  54131379591291362534419192803350717445033076644501106543002488058695433: {58677,273742,371317,391060,469272,527931,605461,664462,742558,1132798,1189561,1328788,1422697,1539157,2032472,2067742,2286531,2301118,2699797,2767438,3224595,3233182,3439568,3465838,3507961,3775822,3810495,3869514,4008142,4064528,4395022,4427257,4513971,4572594,4788035,4935982,5090398,5321902,5373775,5399038,5745642,6024937,6092542,6365461,6448530,6702563,6705337,6707902,6738195,6840050,6878432,6930964,6938398,7015198,7187408,7270357,7738236,7860628,8058361,8085834,8208060,8755264,8777182,9311758,9575090,9693118,9771500,9849672,10179748,10446104,10454638,10642708,10956891,11080881,11290462,11378072,11490108,11725800,11751867,11972878,12164917,12309464,12507520,12800331,12953188,12988115,13191525,13333822,13409278,13560142,13678700,13752435,13848147,13875364,14070960,14451817,14539198,14669264,15009024,15215422,15503295,15585738,15829830,16040158,16115038,16269323,16414440,16493557,16502922,16503695,16536848,16788238,16885152,16957784,17508736,18279598,18466245,18468964,18554450,18577102,18603954,18719977,18725758,18930361,18995796,19077507,19245397,19393918,19541000,19550531,19697328,19739864,19769017,19804434,19841428,19912702,20706997,20749395,20754964,20800222,20810857,21591704,21983625,22132688,22159494,22207347,22265340,22274302,22788718,22872937,23229022,23241890,23449200,23749696,24241395,24254158,24290667,24327262,24473422,24899274,24984478,25012480,25107961,25857488,25912057,26076958,26380350,26392971,26440318,26664868,26718408,27890268,27902137,27929330,28139040,28309935,28467742,29044702,29089674,29358035,29548702,30014976,30058209,30197264,30246051,30349237,30410878,30727828,30736597,31055998,31212435,31656420,31987561,32076964,32128318,32912398,32952495,33085514,33202700,33226357,33293264,33515196,33766848,33934467,33971922,34490072,35015017,35149328,35229642,35295061,35945977,35958862,36311182,36376347,36555364,36869737,37008435,37145461,37328917,37454922,37603561,37786558,37856638,37877557,37945083,37987704,38166195,38241877,38486638,38514361,38801331,39033507,39189563,39237817,39475664,39542994,39673108,39843240,39901935,40398175,40710608,40716142,40759861,40776591,40924318,41201662,41609015,41940050,42334228,42499456,42562064,42736167,42791422,42960361,43305175,43395061,43411198,43634072,43823662,43947795,44410122,44823645,44910803,44945077,45125998,45286357,45425764,45634611,45687635,45740878,45796117,45799434,45965461,46081918,46877648,46914335,46975477,47170558,47265020,47275544,47393257,47410995,47577742,47713342,47811888,47882322,48390382,48477810,48503188,48564435,48941668,49088331,49201023,49537678,49699561,49763735,49764988,49817764,49930818,50293695,50328060,50571728,50755683,51152377,51709664,51751582,51802064,51814424,51818398,51951982,51966210,52107961,52152238,52597695,52678767,52737354,52739257,53184987,53217838,53427171,53616382,53625944,53646608,53683264,53788374,53832937,53837315,54065461,54146878,54180964,54505295,54544078,54605497,54825162,55430624,55575443,55985090,56104208,56204437,56297202,56342699,56521438,56580457,56718024,56783998,56893194,56915182,57103861,57218068,57242072,57448115,57504718,57992917,58158238,58173372,58277322,58291227,58360297,58624347,58679902,59162197,59330542,59441450,59716482,59720158,60170197,60329187,60352434,60393672,60627022,60671764,60711987,61014718,61304917,61401838,61466302,61585717,61788382,61962148,62282677,62359452,62431342,62490361,62820964,62835061,63001731,63117234,63200782,63202827,63519061,63603775,63807777,64107028,64158290,64286878,64397331,64531561,64567811,64604778,64669102,64816851,64865461,64923598,64998517,65268050,65329897,65406354,65431822,66244708,66313237,66381982,66445198,66959797,67139518,67152361,67182108,67535247,67760483,67942881,68145982,68294137,68546015,68646171,68710318,68937738,69227797,69517263,69585598,69835102,70074388,70106435,70403907,70504491,70687957,71091050,71092840,71165461,71249331,71329740,71931577,71961323,72164857,72191908,72192622,72276175,72377758,72483087,72512617,72758231,72800437,72809182,72823107,72915061,72993838,73370677,73669678,73765561,73877737,74167415,74221198,74292824,74588158,74649262,75238499,75364499,75417961,75564964,76085056,76324530,76588537,76640917,76910450,76989948,77160757,77250095,77563438,77684062,77876437,78321660,78406462,78416427,78466558,78528361,78677077,78791043,78874357,78923497,79290867,79393490,79665987,79978700,79979445,80128597,80223061,80364217,80457961,80489570,80916718,81006868,81094942,81235695,81393411,81412832,81510238,81687982,82161262,82255218,82272361,82491061,82578037,83045902,83183384,83347861,83457502,83543104,83579427,83814175,83848117,83939691,84094357,84127722,84217672,84336862,84698617,84822335,85092457,85247977,85309260,85311408,85595688,85641231,85862903,86008297,86200798,86230777,86335235,86377657,86432638,86474531,86559637,86651408,86667961,86694175,86722078,86731410,86918197,87024361,87225508,87587998,87607064,87647737,87715561,88634857,88679662,88848595,89000898,89104117,89137582,89283988,89557177,89616361,89763061,89808447,89822542,89879518,90005187,90105364,90221038,90391582,90414697,90732238,90871861,90924277,90996544,91002361,91079797,91333237,91432597,91471935,91506361,91511651,91589436,91654700,91863598,91919998,92027497,92051067,92239730,92292540,92389895,92426878,92513504,92535061,92700114,92702677,93101557,93196777,93271657,93363637,93507061,93581307,93730297,93772222,93845461,93877717,93883918,93985992,93995447,94194964,94326997,94385758,94527867,94565461,94744881,94780597,94931797,95009428,95132137,95208277,95213625,95216377,95242015,95248057,95272188,95376361,95416228,95440942,95454517,95525077,95538361,95551678,95566837,95603807,95639737,95645461,95653561,95657557,95665657,95667961,95974440,95975334,96243203,96269902,96295149,96587484,96710542,96800690,96875518,97288472,97329491,97369582,97482834,97570064,98035131,98080942,98190142,98222511,98445376,98557947,99332878,99468388,99944643,99972435,...,1353975381347540048325795470749078805127169522850166975115712459052455038612192060001366641559229789181252838787665539100151979682485810655680434596039581495492711467178576519591868563998385341580909687307026709189033495702672601262920930283313952535313671482080563467403959805917123174516562875730655296146858094300806305628338659256034157802712192873356528845403676404065950371545847076003502572744858392216064659887486808010314007316641428004743472772903832318709254919889108824454340478107897539647884401003387098281528062656794868039630554673136585309512163032306569970461373593388826060549975267268839116935346880381977780943319022959173197062434106938908032567247124650100829244536257988581024842762422524716644827592111415960417593463225365280454955924977184923950593513786816588180225096571259235228341941698691767419866036396237865759600416110998263006421682438461188046339427258410418855080564970945828576490180623430118390064384905750333832579954619734677757080145155582007912457871139680207804008676775301674162217257196650286880208270523327119035817976636467166790243157262054758321170934075087821471839737816602520174102286701258777889373942266108981638808340773682489623491943469510531266310617973780491431367287928261614581210569078642082074757862857840968318681205353556476580980692169195376045639926959399634012111266406200801751420710120551561132067290618360890125704660356343995147301599504353019466414775960651322917919352044857148566844145981036618898715291611338989039422894107218467705252043024621560141117290786062332780315318236045795230503794768756923074505893635994391624507577770671619800361476398053188229751166910121076617070409440163873159906640570545696187958053107457760858823749242029955871995615781468198643952429676485916483054267670643080297813310316416574489487801168274879737640788492437402227848430009607043133761143295326490240673095780881064128224522434205940296388553314896431654909236916831716139915757411735670309076231823174885104354883604689269374179657875891849332579262540045578991719599734297920076758761516683549506801169754773975413604036163297202405371698617601363477467524328122253002703350024944979056473940311144063911072698633525460179591109707799867385578277661610111065270014318534908084957861015120053540439958200882891070275134281600523878769358525632517298810719282059072500327417823590694225849186693256472735248280089042778303814595400683113037620073846106641346506886268321851812419008761749478529033704541044415680789101085397797653775339079872509044122338086303035863100933658640669971439099452339480587789781441861925129286534715985481748845694212973827780563337077926824137503643624914346116005176054804257119098942101803171855861461652258109074675800970197968041179476522743091090345115324697370160268169949936913013868573545679365522723852586897075580104005414878609237154585700571927891818119989702021408708142422722218698325867281491577876265671430006354444033844139633672405453587701179122437426094780364708364991280984951866856140901968138692572494050428872267709846811864477255438038414155619434166457094875121153366864761903775428802}
19563  54343659140968766808815626105761567702092965041731251859727196992133249: {78236,410613,488825,586590,625696,703908,996693,1113837,1660985,1699197,1778413,1993182,2364461,2540590,3009622,3048708,3101613,3451677,3556462,4151157,4299460,4824157,4849773,5080660,5159352,5198757,5663733,5804271,6012213,6018628,6096792,6288982,6592533,6858891,7403973,7635597,7660856,7982853,8098557,8163958,8598040,8618463,8632702,8663705,8984260,9138813,9140341,9672795,9825785,9955813,10061853,10260075,10317648,10396446,10407597,10522797,10770781,10781112,10904413,10944080,11607354,11790942,12128751,12214375,12312090,12724685,12835606,13057630,13132896,13165773,13303385,13713421,13967637,14222590,14362635,14469742,14539677,14609188,14657250,14774508,14838061,15269622,15320144,15386830,15454777,15634400,15669156,15681957,15932317,15964062,16191485,16935693,16969693,17067108,17098375,17235162,17272381,17344205,17588700,17775197,17959317,18336580,18453622,18464196,18483673,18740461,18761280,18892741,19054277,19366102,19429782,19996717,20000733,20012032,20113917,20340213,20518050,20671060,20780984,20794462,20813046,21106440,21197230,21808797,21885920,22003896,22513536,22580797,22625302,22823133,23086205,23378607,23744745,23830222,24060237,24172557,24426250,24539806,24621660,24674830,24754383,24794221,24801785,24805272,25182357,25327728,25436676,25943705,25978837,26039533,26154238,26263104,26405912,26422606,26680441,26989630,27006277,27419397,27462293,27547897,27665860,27703446,27816982,27831675,27865653,27905931,27985661,28088637,28493694,28510462,28717942,29090877,29131606,29311500,29438441,29545992,29609796,29687120,29706651,29762142,29869053,29896126,30178813,30382558,30755662,30997453,31132446,31200333,31265600,31280062,31792877,31801517,32067373,32321860,32387556,33190702,33199032,33239241,33331085,33398010,33411453,33840598,34183077,34541206,34843533,34862835,35062798,35173800,35190628,35621782,35624544,35840821,35954542,36012973,36381237,36490893,36710133,36819661,36878237,37143413,37187024,37241806,37330793,37348911,37476717,37518720,37746580,38046037,38145437,38179813,38409785,38786232,39115437,39250846,39570525,39660477,39989326,39997302,40019968,40074317,40077612,40096205,40328068,40407742,41017942,41081053,41366101,41503375,41616580,41835402,41893995,42208560,42306137,42701613,43007021,43112590,43567053,43634511,43680886,43936660,44066902,44250262,44323053,44368606,44686928,45022464,45245956,45295896,45326806,45337621,45616317,45694205,46091742,46583997,46619518,46853221,46922701,46940782,46972856,47080997,47484630,47824613,48115446,48192477,48327022,48482333,48501796,48605566,49091182,49344580,49368597,49514597,49541038,49591385,49628271,49804050,49939896,50086813,50272794,50490773,50593444,50650272,50888260,50957883,51067822,51735108,52044676,52532758,52723992,52844463,52917785,53124320,53202580,53290061,53938293,53954261,54007006,54084862,54267862,54368788,54466773,54542590,54652462,54654713,54833046,55016981,55803077,56182383,56679837,56773462,56782205,56784957,56843581,56919257,56975993,56981556,57729957,57831421,58427926,58597060,59081275,59094430,59111422,59213496,59314491,59509662,59764860,60009622,60022957,60281981,60495097,60628985,60846148,61044133,61065912,61074213,61138853,61177085,61386477,61802493,62036797,62071757,62206235,62272205,62910075,63214660,63501342,63642617,63749184,63843096,64001422,64128142,64136206,64187133,64637080,64752580,64768030,65006221,65116797,65451108,65601364,65630317,65735493,66041077,66134302,66452957,66574424,66615183,67032430,67058260,67104080,67674244,67688997,67726205,67741006,68082382,68138646,68611317,68675902,68699151,68888398,69122877,69288280,69402073,69521782,69730681,70130260,70238356,70316472,70755837,70883293,70897530,70911017,70913316,71224918,71236228,71366613,71522585,71552590,71570013,71717832,71823483,72339961,72585573,72716715,72754782,72785461,73100216,73412502,73631758,73690463,73711997,74021053,74306517,74411693,74552021,74614558,74647482,74726646,74896227,75062936,75492090,75624032,75808133,75819982,75839705,75857592,76365262,76656181,77452685,77505997,77564496,77627373,77703096,77721636,77727597,77927973,77949315,78165796,78228357,78275353,78308761,78526205,78701782,79106031,79154062,79621976,79826757,80133785,80422361,80424573,80438916,80469912,80491486,80524896,80682561,80849302,80949316,81013333,81220317,81263141,81271446,81404837,81816117,81998477,82237743,82699357,82805885,83145936,83428126,83842606,83977635,84002308,84152302,84156312,84172153,84270436,84273641,84445803,84782157,85077036,85127413,85175997,85339791,85372773,85373806,85459373,85827102,85863108,85997893,86139704,86257077,86422468,86517337,86745742,87208472,87216781,87237357,87260058,87415983,87592985,87855982,88019853,88062382,88866050,88995813,89162175,89574723,89576144,89580237,90046996,90239885,90528651,90590508,90652661,90722461,90940533,91007646,91522077,91522093,91528228,91608857,91916984,92102757,92199453,92682573,92689684,92866030,92943222,93307606,93539178,93599437,93647013,93871876,94005988,94231446,94456205,94675851,94801173,94997893,94999108,95104637,95106320,96160542,96237435,96430317,96467806,96644116,96907167,97003653,97097476,97385397,97417006,97901261,97902075,98109531,98147733,99236677,99367062,99572973,99667797,99707341,99973375,...,2030963072021310072488693206123618207690754284275250462673568688578682557918288090002049962338844683771879258181498308650227969523728715983520651894059372243239067200767864779387802845997578012371364530960540063783550243554008901894381395424970928802970507223120845201105939708875684761774844313595982944220287141451209458442507988884051236704068289310034793268105514606098925557318770614005253859117287588324096989831230212015471010974962142007115209159355748478063882379833663236681510717161846309471826601505080647422292093985192302059445832009704877964268244548459854955692060390083239090824962900903258675403020320572966671414978534438759795593651160408362048850870686975151243866804386982871537264143633787074967241388167123940626390194838047920682433887465777385925890270680224882270337644856888852842512912548037651129799054594356798639400624166497394509632523657691782069509140887615628282620847456418742864735270935145177585096577358625500748869931929602016635620217733373011868686806709520311706013015162952511243325885794975430320312405784990678553726964954700750185364735893082137481756401112631732207759606724903780261153430051888166834060913399163472458212511160523734435237915204265796899465926960670737147050931892392421871815853617963123112136794286761452478021808030334714871471038253793064068459890439099451018166899609301202627131065180827341698100935927541335188556990534515992720952399256529529199622163940976984376879028067285722850266218971554928348072937417008483559134341160827701557878064536932340211675936179093499170472977354068692845755692153135384611758840453991587436761366656007429700542214597079782344626750365181614925605614160245809739859960855818544281937079661186641288235623863044933807993423672202297965928644514728874724581401505964620446719965474624861734231701752412319606461182738656103341772645014410564700641714942989735361009643671321596192336783651308910444582829972344647482363855375247574209873636117603505463614347734762327656532325407033904061269486813837773998868893810068368487579399601446880115138142275025324260201754632160963120406054244945803608057547926402045216201286492183379504055025037417468584710910466716095866609047950288190269386664561699801078367416492415166597905021477802362127436791522680080310659937301324336605412701422400785818154037788448775948216078923088608750491126735386041338773780039884709102872420133564167455721893101024669556430110769159962019760329402482777718628513142624217793550556811566623521183651628096696480663008619808763566183507129454553794651400487961004957158649178509220881684672162792887693929802073978222623268541319460741670845005616890236206255465437371519174007764082206385678648413152704757783792192478387163612013701455296952061769214784114636635517672987046055240402254924905369520802860318519048284085778880345613370156008122317913855731878550857891837727179984553032113062213634083328047488800922237366814398507145009531666050766209450508608180381551768683656139142170547062547486921477427800284211352952208038858741075643308401564770217796715883157057621233429151249685642312681730050297142855663143203}
19564  54556765244075102155208743248926579865075947573790161979787464710998263: {97795,117354,215083,449443,547484,742634,782120,879885,938544,1055862,1210922,1328924,1485116,1965763,2081899,2265596,2379122,2545723,2657576,2661499,2845394,2989773,3078314,3354643,3700243,3810885,4064944,4135484,4514433,4573062,4602236,5076163,5334693,5374325,5399594,5534876,6350825,6449190,6466364,6703249,6781483,6879136,6931676,7015922,7346323,7523285,7551644,7620990,7684363,7739028,8016284,8129056,8470603,8790044,8854514,9027942,9145188,9364843,9433473,9576070,9871964,10180796,10643804,10697563,10747550,10798076,11230325,11491284,11690299,12049874,12185084,12239299,12245937,12348883,12730922,12897060,12949053,13405126,13410674,13415804,13476390,13680100,13756864,13861928,13876796,14030396,14309083,14374816,14540714,15388003,15476472,15594669,15721256,16116722,16138963,16171668,16416120,17411031,17510528,17554364,17630299,17686413,18053803,18159499,18183361,18261485,18468135,18623516,19150180,19253409,19386236,19543000,19586445,19631683,19699344,20359496,20362483,20892208,20909276,21193363,21285416,21333885,21400363,21704613,21913782,21916603,21985875,22161762,22431043,22580924,22756144,22904433,22920725,22980216,23080245,23105173,23352499,23451600,23503734,23861899,23945756,23946093,24329834,24618928,24976243,25015040,25600662,25838825,25852743,25906376,25976230,25981723,25995761,26383050,26667644,26818556,26880499,27120284,27357400,27476443,27504870,27680433,27696294,27750728,28141920,28463923,28856899,28903634,29049153,29078396,29144673,29338528,30018048,30430844,30777075,31006590,31171476,31191693,31219569,31659660,31795845,32080316,32230076,32538646,32828880,32987114,33005844,33007390,33073696,33576476,33671899,33770304,33915568,33937953,34582325,35017472,35745333,36382123,36474499,36559196,36639375,36809709,36932490,36937928,37012245,37108900,37154204,37207908,37439954,37451516,37860722,37991592,38155014,38397763,38490794,38760499,38787836,38851003,39082000,39101062,39231357,39302443,39394656,39479728,39538034,39608868,39633909,39682856,39825404,40199923,40402325,40484445,40556899,40912723,41101249,41413994,41498790,41509928,41555169,41600444,41621714,41725473,41797243,41885299,42740541,42765693,43076913,43110523,43183408,43284403,43697409,43967250,43988285,44265376,44318988,44407603,44414694,44530680,44548604,44579323,44643213,44844189,45007363,45433603,45573837,45577436,45745874,46111843,46133493,46280683,46458044,46483780,46617499,46698669,46898400,46920093,46953163,47183225,47499392,47787283,48366883,48482790,48508316,48581334,48654524,48946844,49106899,49786053,49798548,49841083,49968956,50024960,50097015,50215922,50410085,50760897,50810923,51531499,51714976,51811809,51824114,52020725,52153916,52404283,52594197,52760700,52785942,52880636,53329736,53432673,53436816,53931813,54278299,54586603,54920825,55732483,55780536,55804274,55808299,55858660,55862709,56110843,56278080,56557445,56619870,56935484,56936899,57383803,58089404,58179348,58252621,58416499,58716070,58876269,59097404,59435083,59507299,59867299,59939083,59983989,59995953,60029952,60116418,60296923,60394528,60492102,60611613,60627245,60698474,60821756,60865723,61289299,61359643,61455656,61473194,61526913,61680725,62111996,62406163,62424870,62753103,63241805,63300043,63312840,63610325,63962689,63975122,64153928,64256636,64668885,65055845,65521329,65680069,65824796,65904990,66039499,66100353,66171028,66375393,66405400,66452714,66503225,66552909,66586528,66624643,67030392,67331899,67395763,67533696,67586923,67868934,67943844,67960985,67990209,68282299,68980144,69137613,69585643,69669229,69929277,70030034,70073803,70195123,70298656,70376563,70411173,70459284,70590122,70797403,71036299,71226945,71891954,71917724,72155323,72173169,72213499,72271603,72490533,72561043,72622364,72752694,72848683,72908349,73020403,73110728,73246325,73636773,73739474,74016870,74259883,74290922,74311557,74657834,74706075,74909844,75030499,75207122,75248083,75372241,75409191,75573116,75713276,75755114,75890166,75975408,76057685,76307413,76332390,76371499,76483754,76601733,76973276,77028722,77154499,77206123,77411899,77602662,77616523,78067014,78379126,78475634,78622363,78671899,78799137,78951328,79018325,79085988,79346216,79686480,79695523,79803870,79839163,79886899,79934563,80171803,80360299,80427361,80796350,80940725,81010509,81127293,81285499,81401793,81421216,81432284,81467083,81519722,81553182,81813885,81848636,81978693,82001705,82137763,82225963,82249569,82403324,82445203,82835299,83218030,83722843,83822825,83880100,84592805,84668456,84998912,85053403,85124128,85160193,85325563,85441123,85472334,85582844,85896883,85920722,86610350,86790122,86822396,87268144,87444883,87479299,87641889,87647324,87662825,87797945,87895590,88638499,88641645,88667133,88765363,88820244,88953499,89045285,89264493,89442523,89647290,89821606,89890154,90014433,90251996,90253963,90281899,90572714,90584443,90825499,90851528,90851923,91269222,91375270,91481756,91586899,91592234,91598868,91930922,92081323,92163836,92171899,92794123,92834803,92915299,93092203,93319003,93464443,93741499,93755296,93828670,93905299,93950954,94137499,94341116,94353499,94475323,94530040,94551088,94689523,94783123,94786514,94821990,94966723,94996963,95016763,95155484,95252013,95271499,95316643,95372803,95379499,95426684,95448403,95465683,95493043,95518603,95551363,95564323,95584483,95592043,95606299,95623776,95662243,95676499,95764644,95964421,96002133,96192213,96204309,96744461,96780764,96955620,97006376,97128870,97152045,97707245,97883336,98149009,98176662,98402046,99075356,99201453,99399122,99527470,99529976,99635528,99861636,...,2707950762695080096651590941498157610254339045700333950231424918104910077224384120002733283118459578362505677575331078200303959364971621311360869192079162990985422934357153039183737127996770683161819374614053418378066991405345202525841860566627905070627342964161126934807919611834246349033125751461310592293716188601612611256677318512068315605424385746713057690807352808131900743091694152007005145489716784432129319774973616020628014633282856009486945545807664637418509839778217648908680956215795079295768802006774196563056125313589736079261109346273170619024326064613139940922747186777652121099950534537678233870693760763955561886638045918346394124868213877816065134494249300201658489072515977162049685524845049433289655184222831920835186926450730560909911849954369847901187027573633176360450193142518470456683883397383534839732072792475731519200832221996526012843364876922376092678854516820837710161129941891657152980361246860236780128769811500667665159909239469355514160290311164015824915742279360415608017353550603348324434514393300573760416541046654238071635953272934333580486314524109516642341868150175642943679475633205040348204573402517555778747884532217963277616681547364979246983886939021062532621235947560982862734575856523229162421138157284164149515725715681936637362410707112953161961384338390752091279853918799268024222532812401603502841420241103122264134581236721780251409320712687990294603199008706038932829551921302645835838704089714297133688291962073237797430583222677978078845788214436935410504086049243120282234581572124665560630636472091590461007589537513846149011787271988783249015155541343239600722952796106376459502333820242153234140818880327746319813281141091392375916106214915521717647498484059911743991231562936397287904859352971832966108535341286160595626620632833148978975602336549759475281576984874804455696860019214086267522286590652980481346191561762128256449044868411880592777106629792863309818473833663432279831514823471340618152463646349770208709767209378538748359315751783698665158525080091157983439199468595840153517523033367099013602339509547950827208072326594404810743397235202726954935048656244506005406700049889958112947880622288127822145397267050920359182219415599734771156555323220222130540028637069816169915722030240107080879916401765782140550268563201047757538717051265034597621438564118145000654835647181388451698373386512945470496560178085556607629190801366226075240147692213282693013772536643703624838017523498957058067409082088831361578202170795595307550678159745018088244676172606071726201867317281339942878198904678961175579562883723850258573069431970963497691388425947655561126674155853648275007287249828692232010352109608514238197884203606343711722923304516218149351601940395936082358953045486182180690230649394740320536339899873826027737147091358731045447705173794151160208010829757218474309171401143855783636239979404042817416284845444437396651734562983155752531342860012708888067688279267344810907175402358244874852189560729416729982561969903733712281803936277385144988100857744535419693623728954510876076828311238868332914189750242306733729523807550857604}
19565  54770701096077576722006543802560082254741664624631278616157622845304059: {156472,176031,684355,821226,977650,1113951,1173180,1251392,1407816,1583793,1661155,1816383,1856395,1993386,2227674,2325379,2364703,2794363,2831995,3321970,3398394,3556826,3568683,3986364,4268091,4617471,4728922,4941343,5081180,5169355,5644459,5752795,6019244,6097416,6203226,6859593,6903354,6918595,7112924,8082955,8099391,8302314,8598920,8664595,9439555,9648314,9673785,9699546,10020355,10085119,10161320,10318704,10397514,10523883,10987555,11327466,11369083,11431485,11608542,12024426,12037256,12129187,12193584,12339955,12577964,12725995,13185066,13281771,13304755,13497595,13541913,13596379,13717782,13756099,14364105,14807946,15216223,15231355,15271194,15321712,15581299,15965706,16121325,16197114,16327916,16405387,16769755,17100125,17196080,17236926,17265404,17327410,17345995,17537995,17777023,17814559,17968520,18074811,18277626,18280682,18389443,18624739,19096383,19345590,19547467,19651570,19911626,20107689,20116011,20123706,20214585,20520150,20635296,20760619,20792892,20815194,21007051,21045594,21541562,21562224,21808826,21811071,21888160,21942955,22518691,22668079,22889119,23214708,23279395,23508739,23581884,23757091,23937725,24165163,24175083,24232795,24257502,24281887,24428750,24624180,25449370,25671212,26115260,26136595,26146867,26265792,26331546,26438431,26563507,26606770,27139519,27426842,27935274,27988543,28226155,28445180,28725270,28939484,29079354,29218376,29261419,29314500,29549016,29676122,29932195,29945371,30539244,30640288,30693151,30773660,30909554,31268800,31338312,31363914,31796143,31864634,31928124,32228383,32320687,32382970,32688451,32750923,32870673,32901787,33073963,33242643,33325147,33334555,33390499,33523195,33871386,33900355,33939386,34134216,34196750,34470324,34544762,34688410,34722499,34768063,35177400,35255601,35363179,35364271,35550394,35613919,35918634,36321187,36347995,36494751,36673160,36882043,36907244,36928392,36967346,37480922,37522560,37532179,37583611,37785482,37828267,38038555,38108554,38400993,38571643,38732204,38859564,38964345,39574575,39993434,40001466,40024064,40100395,40227834,40287595,40680426,41036100,41203171,41257305,41342120,41544441,41561968,41588924,41626092,41722651,41929939,41970595,42212880,42310483,42394460,42500827,42838063,43011439,43241659,43355451,43583371,43617594,43771840,44007792,44369851,44575987,45027072,45080971,45161443,45161594,45250604,45646266,45698995,46172410,46386125,46442755,46509885,46663519,46757214,46814395,47489490,47660444,48120474,48345114,48484795,48676963,48718531,48807969,48852500,49079612,49243320,49349660,49377631,49480671,49508766,49511085,49588442,49603570,49610544,49781755,50192707,50364714,50495971,50655456,50873352,51113539,51754579,51887410,51957674,52000555,52079066,52308476,52526208,52811824,52845212,53360882,53448379,53773699,53979260,54012554,54838794,54924586,55022659,55095794,55331720,55398735,55406892,55633964,55663350,55685755,55731306,55783219,55811862,55971322,56134687,56159931,56177274,56791083,56971795,56987388,57020924,57232521,57435884,57736191,58046371,58072555,58104725,58181754,58263212,58517251,58623000,58651593,58876882,59091984,59219592,59307051,59374240,59413302,59524284,59572843,59738106,59792252,60288187,60357626,60635395,60765116,60818155,60844723,61183555,61408747,61489567,61511324,61994906,62031391,62120991,62248185,62264892,62400666,62432571,62461195,62531200,62560124,62979163,63585754,63603034,63649171,63679051,63971887,64134746,64439359,64643720,64775112,64894639,65192395,65949091,65950875,66100795,66157723,66381404,66398064,66478482,66622041,66662170,66796020,66822906,67079419,67344943,67681196,67695007,68031763,68366154,68618811,69082412,69427939,69687066,69725670,69823325,70125596,70347600,70381256,71169355,71243564,71249088,71681642,71909084,72025946,72598699,72611755,72651871,72724185,72762474,72872001,72981786,73156483,73313119,73357531,73420266,73639322,73756474,73871755,74084899,74286826,74370091,74374048,74483612,74661586,74697822,74953434,75037440,75208867,75323883,75493160,76027195,76092074,76290874,76359626,76819570,76887739,77261179,77572464,77639995,77736171,78230874,78452467,78501692,78699643,78795583,79141050,79178913,79320954,79495087,79978652,79994604,80039936,80148634,80155224,80192410,80320795,80430643,80656136,80815484,81271507,81365971,82014883,82035884,82162106,82280995,82713785,82732202,83006750,83233160,83322847,83658619,83670804,83697931,83706411,83771227,83787990,84164323,84345403,84417120,84612274,84880579,84929805,85182379,85403226,85468171,85647919,86014042,86225180,87088729,87134106,87181087,87269022,87361772,87873320,88074105,88133804,88232587,88500524,88540339,88646106,88737212,89373856,89897155,90044928,90174627,90491912,90549247,90591792,90653612,90675242,90738153,90777955,91047711,91073323,91232634,91388410,91576171,91618291,92038459,92172499,92183484,92209791,92414239,93167994,93239036,93637305,93706442,93845402,93881564,93945712,94161994,94188187,94466395,94641595,94816687,94969260,95114431,95649226,95962683,96216595,96230892,96384954,96654044,96907291,96964666,97003592,97211132,97911343,98049919,98182364,98292979,98328523,98689160,98737194,98857485,99029194,99082076,99087151,99182770,99256542,99608100,99679071,99879792,...,4061926144042620144977386412247236415381508568550500925347137377157365115836576180004099924677689367543758516362996617300455939047457431967041303788118744486478134401535729558775605691995156024742729061921080127567100487108017803788762790849941857605941014446241690402211879417751369523549688627191965888440574282902418916885015977768102473408136578620069586536211029212197851114637541228010507718234575176648193979662460424030942021949924284014230418318711496956127764759667326473363021434323692618943653203010161294844584187970384604118891664019409755928536489096919709911384120780166478181649925801806517350806040641145933342829957068877519591187302320816724097701741373950302487733608773965743074528287267574149934482776334247881252780389676095841364867774931554771851780541360449764540675289713777705685025825096075302259598109188713597278801248332994789019265047315383564139018281775231256565241694912837485729470541870290355170193154717251001497739863859204033271240435466746023737373613419040623412026030325905022486651771589950860640624811569981357107453929909401500370729471786164274963512802225263464415519213449807560522306860103776333668121826798326944916425022321047468870475830408531593798931853921341474294101863784784843743631707235926246224273588573522904956043616060669429742942076507586128136919780878198902036333799218602405254262130361654683396201871855082670377113981069031985441904798513059058399244327881953968753758056134571445700532437943109856696145874834016967118268682321655403115756129073864680423351872358186998340945954708137385691511384306270769223517680907983174873522733312014859401084429194159564689253500730363229851211228320491619479719921711637088563874159322373282576471247726089867615986847344404595931857289029457749449162803011929240893439930949249723468463403504824639212922365477312206683545290028821129401283429885979470722019287342643192384673567302617820889165659944689294964727710750495148419747272235207010927228695469524655313064650814067808122538973627675547997737787620136736975158799202893760230276284550050648520403509264321926240812108489891607216115095852804090432402572984366759008110050074834937169421820933432191733218095900576380538773329123399602156734832984830333195810042955604724254873583045360160621319874602648673210825402844801571636308075576897551896432157846177217500982253470772082677547560079769418205744840267128334911443786202049339112860221538319924039520658804965555437257026285248435587101113623133247042367303256193392961326017239617527132367014258909107589302800975922009914317298357018441763369344325585775387859604147956445246537082638921483341690011233780472412510930874743038348015528164412771357296826305409515567584384956774327224027402910593904123538429568229273271035345974092110480804509849810739041605720637038096568171557760691226740312016244635827711463757101715783675454359969106064226124427268166656094977601844474733628797014290019063332101532418901017216360763103537367312278284341094125094973842954855600568422705904416077717482151286616803129540435593431766314115242466858302499371284625363460100594285711326286406}
19566  54985469904709188917715285744209445450844852127571675805892212948434849: {136913,195590,234708,254189,430166,449489,898886,1094968,1150913,1231839,1466475,1485268,1564240,1617089,1733453,1759770,1877088,1888493,2004689,2111724,2120813,2421844,2657848,2661773,2700353,2893133,2970232,2990079,3162689,3341511,3470273,3738989,3931526,4163798,4504589,4531192,4758244,4962413,4982955,5091446,5097591,5315152,5322998,5335239,5343053,5646989,5690788,5912513,5979546,6101933,6156628,6351475,6668993,6709286,6782189,6895313,7093383,7347089,7400486,7524055,7621770,7835213,8129888,8270968,8891155,9028866,9142673,9146124,9204472,9291473,9304839,10152326,10355031,10532599,10588013,10669386,10748650,10799188,11069752,11140673,11250989,11508113,11728193,12240593,12350189,12453471,12701650,12898380,12932728,13406498,13562966,13695953,13758272,13863352,14031844,14454893,14472471,14526989,14549319,14692646,15046570,15103288,15174413,15241980,15368726,15425489,15478056,15596271,15722455,15962189,16032568,16258112,16568273,16941206,16991199,17313773,17412813,17580088,17709028,18036639,18055884,18267089,18290376,18729686,18794189,18866946,19152140,19424333,19668689,19743928,19777599,20361592,20409895,20468813,20576673,20711489,21230189,21287608,21395126,21495100,21581755,21596152,21815873,22211919,22262189,22460650,22672973,22906791,22982568,23048513,23355053,23380598,23389073,23694893,23948559,24099748,24295671,24370168,24478598,24491874,24697766,24878033,25461844,25566079,25794120,25817489,25855389,25898106,25984589,25991115,26084753,26218193,26810252,26821348,26831608,26916653,26952780,27360200,27416439,27421023,27479489,27513728,27723856,27753592,27974189,28060792,28401473,28618166,28749632,28860113,28892813,29018385,29081428,29186753,29349773,29477355,29675213,29772689,29867439,30185559,30722263,30776006,30780225,30952944,31189338,31222791,31322513,31442512,31568391,31611053,31707089,32089015,32233444,32277926,32312343,32343336,32644075,32713239,32832240,33675713,34822062,34929473,35021056,35022989,35085293,35108728,35260598,35372826,35551553,35556475,36107606,36174355,36201293,36318998,36366722,36386253,36417089,36509453,36522970,36643125,36663233,36936270,37247032,37886273,38174055,38300360,38311313,38467075,38506818,38772472,38795153,39086000,39172890,39216833,39263366,39306989,39398688,39497319,39846413,39910155,40561613,40718992,40724966,40858253,40947089,41140263,41183633,41784416,41818552,41902911,42066113,42183233,42270989,42386726,42570832,42667770,42800726,43087905,43231553,43409226,43619031,43809473,43827564,43833206,43971750,44323524,44514183,44862086,45012689,45161848,45211853,45297089,45353873,45512288,45808866,45841450,45960432,46134055,46160490,46210346,46364331,46704998,46903200,46986689,47007468,47045871,47209793,47460173,47723798,47796951,47891512,47892186,48415255,48455213,48565133,48574455,48659668,49194689,49237856,49684433,49952486,49955393,50030080,50198573,50763473,50807079,50897453,50909079,51201324,51295125,51298193,51677650,51705486,51812752,51817143,51952460,51963446,51986155,51991522,52032615,52410689,52594733,52766100,52993075,53325591,53335288,53637112,53664833,53760998,53846189,53877951,54233489,54240568,54618989,54714800,54952886,55009740,55360866,55392588,55451019,55501456,55764689,55840493,56218433,56221383,56283840,56563255,56644589,56678223,56927846,56968913,57162831,57390989,57564113,57713798,57807268,58007489,58098306,58156792,58203713,58289346,58423853,58677056,59538893,59575555,59659073,59826989,59990151,60002199,60036096,60304589,60341751,60861688,61020639,61065625,61297133,61320593,61349515,61367489,61554150,61583599,61648193,61687075,62013180,62342952,62344913,62383386,62439138,63102989,63319320,63330989,63399233,63591690,63716753,63852353,64010189,64160632,64460152,64726733,65077292,65126189,65192513,65385595,65426391,65523053,65610893,65657760,65974228,66011688,66014780,66056515,66069953,66147392,66178733,66438989,67152952,67343798,67474075,67540608,67617089,67722989,67742391,67831136,67875906,67934189,68312333,68469399,68667089,68812493,69164650,69225773,69258615,69287489,69542455,69656273,70034944,70103489,70135821,70574119,70707089,70747073,70866833,71006189,71234235,71276155,71490666,71794855,71951213,72180711,72184589,72223373,72517671,72570989,72764246,72829015,72858689,72916013,72948998,73049489,73118392,73278750,73560653,73619418,73654673,73864980,73875856,73954193,74024490,74214593,74217800,74263149,74308408,74382663,74405355,74415816,74510273,74675693,74740315,74879908,74903032,75366989,75547071,75721444,75815489,75956395,75983184,76310028,76434989,76557713,76610189,76645133,76795526,76889155,76981588,77182673,77217089,77520998,77575672,77702006,77831115,77848013,77936511,77949293,78118599,78164000,78200155,78202124,78462714,78604886,78650189,78699713,78789312,78897089,78946253,78959456,78978989,79076068,79180423,79217736,79267818,79336973,79365712,79650808,79898513,80041323,80183489,80293613,80387693,80399846,80465873,80606093,80804650,80930753,80968890,81018831,81038189,81113798,81614573,81719489,81794189,81825446,81898433,81987473,82061453,82202498,82258191,82386879,82643691,82827988,82862033,82976755,82997580,83019856,83076173,83110338,83200888,83243428,83274413,83358893,83450946,83495025,83568833,83594486,83596959,83693933,83717793,83770598,83832173,83956983,84119873,84187853,84265911,84601495,84750989,84878143,85118573,85338689,85481082,85531386,85569233,85620113,85947713,86034989,86153826,86221046,86353015,86366816,86428973,86568806,86826689,86945489,86969153,87180689,87215693,87272631,87332839,87394818,87435713,87656995,87664193,87833453,87867089,87934500,87945293,87976570,88034189,88067393,88111553,88177553,88315323,88341293,88395473,88530752,88538527,88556813,88637976,88663373,88815206,88829388,88967873,88998989,89054455,89061360,89097208,89119953,89132993,89158646,89224973,89255489,89286426,89526893,89607159,89688378,89879693,89886355,90014726,90109133,90296813,90306113,90536439,90572333,90599489,90626573,90760913,90867206,90972113,91078183,91110353,91127489,91147674,91154872,91238093,91364033,91380689,91479953,91491748,91586189,91610513,91731053,91865489,92036033,92074253,92223686,92266986,92284589,92343533,92561366,92588333,92665553,92769293,92916088,92951489,92967560,92992359,93095633,93104515,93234998,93316973,93397338,93469073,93486989,93600999,93662189,93707693,93763853,93796800,93840186,93906326,93922193,94159553,94218689,94242989,94328813,94366450,94370753,94375373,94452689,94483853,94532033,94549313,94562189,94574993,94812173,94998784,95044493,95092433,95104913,95145379,95194433,95244689,95252813,95284589,95289773,95377613,95378631,95404551,95451053,95466989,95491793,95495489,95513489,95558093,95562689,95574566,95584589,95604689,95607233,95610989,95625293,95687489,95696273,95704589,95705933,96202119,96733766,96965580,97016632,97162668,97309048,97893688,98127115,98213798,99572106,99597096,99682166,99717723,99937912,99973315,99993255,...,6092889216063930217466079618370854623072262852825751388020706065736047673754864270006149887016534051315637774544494925950683908571186147950561955682178116729717201602303594338163408537992734037114093592881620191350650730662026705683144186274912786408911521669362535603317819126627054285324532940787948832660861424353628375327523966652153710112204867930104379804316543818296776671956311842015761577351862764972290969493690636046413032924886426021345627478067245434191647139500989710044532151485538928415479804515241942266876281955576906178337496029114633892804733645379564867076181170249717272474888702709776026209060961718900014244935603316279386780953481225086146552612060925453731600413160948614611792430901361224901724164501371821879170584514143762047301662397332157777670812040674646811012934570666558527538737644112953389397163783070395918201872499492183528897570973075346208527422662846884847862542369256228594205812805435532755289732075876502246609795788806049906860653200119035606060420128560935118039045488857533729977657384926290960937217354972035661180894864102250556094207679246412445269203337895196623278820174711340783460290155664500502182740197490417374637533481571203305713745612797390698397780882012211441152795677177265615447560853889369336410382860284357434065424091004144614413114761379192205379671317298353054500698827903607881393195542482025094302807782624005565670971603547978162857197769588587598866491822930953130637084201857168550798656914664785044218812251025450677403023482483104673634193610797020635027808537280497511418932062206078537267076459406153835276521361974762310284099968022289101626643791239347033880251095544844776816842480737429219579882567455632845811238983559923864706871589134801423980271016606893897785933544186624173744204517893861340159896423874585202695105257236958819383548215968310025317935043231694101925144828969206083028931013964788577010350953926731333748489917033942447091566125742722629620908352810516390843043204286982969596976221101712183808460441513321996606681430205105462738198804340640345414426825075972780605263896482889361218162734837410824172643779206135648603859476550138512165075112252405754132731400148287599827143850864570808159993685099403235102249477245499793715064433407086382310374568040240931979811903973009816238104267202357454462113365346327844648236769265826251473380206158124016321340119654127308617260400692502367165679303074008669290332307479886059280988207448333155885539427872653380651670434699870563550954884290089441989025859426290698550521388363661383954201463883014871475947535527662645054016488378663081789406221934667869805623958382225012535016850670708618766396312114557522023292246619157035945239458114273351376577435161490836041104365890856185307644352343909906553018961138165721206764774716108562408580955557144852257336641036840110468024366953741567195635652573675513181539953659096339186640902249984142466402766712100443195521435028594998152298628351525824541144655306050968417426511641187642460764432283400852634058856624116576223226929925204694310653390147649471172863700287453749056926938045190150891428566989429609}
19567  55201074890015474185010514365581406476270300058844860792162342762470972: {293385,312944,352062,645249,958097,1348329,1368710,1642452,1856585,1955300,2227902,2325617,2346360,2502784,2598953,2639655,2794649,2815632,3027305,3167586,3302429,3322310,3632766,3712790,3964793,3986772,4455348,4650758,4729406,5588726,5663990,5839769,5897289,5947805,6245697,6308513,6643940,6796788,7113485,7113652,7137366,7237097,7637169,7695785,7972728,7984497,8053913,8536182,8969319,9234942,9457844,9686033,9882686,10063929,10162360,10338710,11100729,11288918,11316137,11432655,11505590,11918777,12038488,12130433,12194832,12406452,13215377,13436189,13498985,13543299,13719186,13806708,13837190,14028497,14225848,14259617,14363393,15195953,15228489,15382577,15644849,16004079,16122975,16165910,16198782,16600457,16604628,16925513,17197840,17275937,17329190,17414393,17536793,17539805,17816393,17982809,18626657,18879110,18896633,19052475,19286489,19296628,19347570,19399092,20040710,20109747,20170238,20210093,20322640,20344449,20637408,20795028,20924573,21009209,21047766,21323897,21847169,21975110,22038969,22136285,22191137,22569855,22654932,22738166,22862970,23053089,23217084,23316953,23477657,23940175,24048852,24074512,24170957,24258374,24284393,24387168,24535277,24553193,24679910,25155928,25411809,25451990,26149553,26274473,26370132,26563542,26609510,26868875,26995190,27050777,27083826,27142313,27192758,27334649,27435564,27512198,28094529,28300419,28395473,28558829,28728210,29222969,29564813,29615892,29688593,30014057,30124685,30432446,30462710,30542388,30643424,30720137,31162598,31827305,31931412,32010569,32073977,32092689,32242650,32394228,32591153,32655832,32691809,32810774,33077369,33512815,33526685,33539510,33690975,33880937,33925913,34051697,34200250,34348529,34392160,34454813,34473852,34530808,34581677,34654820,34691990,35070897,35075990,35554046,35623433,35629118,35937040,36024173,36149622,36351785,36555252,36561364,36591233,36717897,36737811,36778886,37046649,37249478,37318793,37832153,38088089,38192766,38194397,38691180,38847159,39094934,39303140,39363017,39516617,39523553,39823252,40215378,40232022,40247412,40291805,40429170,40437113,41040300,41089529,41270592,41521238,41585784,41630388,41905073,41934257,42014102,42089177,42091188,42505193,42927249,43083124,43124448,43386257,43587869,43617652,43622142,43776320,43885910,43941533,44044769,44374409,45037382,45336158,45584669,45778238,46055729,46164009,46429416,46558790,46668377,46784007,46862873,46932473,47017478,47163768,47423849,47460497,47514182,47650193,47875450,48248777,48328913,48330326,48350166,48416889,48465590,48515004,48563774,48857500,49248360,50887193,50898740,51051449,51342424,52230520,52233093,52273190,52293734,52531584,52553357,52663092,52876862,52890897,53059239,53127014,53213540,53253977,53654273,53721377,54161409,54279038,54478497,54550083,54687533,54784455,54853684,55404405,55870548,55977086,56055617,56140553,56402633,56452310,56717057,56890360,57450540,57760227,57843353,57878968,58158708,58436752,58522838,58629000,58758833,58759335,58895049,59098032,59352244,59721737,59864390,59890742,59996849,60824585,61078488,61087449,61280576,61386302,61415069,61495913,61547320,61819108,62049569,62537600,62676624,62727828,62988833,63580089,63592286,63729268,63856248,63978593,64001655,64019213,64201089,64445993,64456766,64641374,64765940,64940575,65003873,65019857,65113839,65376902,65501846,65540153,65643833,65741346,65749809,65803574,65957625,66147926,66485286,66650294,66669110,66722657,66780998,67046390,67293129,67742772,67800710,67878713,67878772,68038769,68268432,68393500,68713299,68762175,68940648,69056297,69089524,69240735,69315519,69376820,69384929,69444998,69536126,69694457,69745037,69989753,70006457,70057497,70354800,70404269,70511202,70726358,70728542,71100788,71227838,71244833,71585697,71837268,71838279,72184433,72259085,72606173,72642374,72659369,72695990,72800777,72989502,73346320,73735673,73764086,73814488,73856784,73934692,74036297,74928729,74961844,75045120,75064358,75167222,75217229,75570964,75656534,76077110,76217108,76801986,76850273,76895657,77143286,77269133,77464408,77516475,77558229,77719128,77928690,77945169,77960057,77987283,78324893,78707849,79108973,79149150,79275677,79760513,79986868,80002932,80048128,80200790,80455668,80575190,80641497,81030017,81182477,81301577,81346615,81360852,82023329,82072200,82406342,82429329,82467785,82514610,82518475,82684240,83041299,83088882,83123936,83177848,83252184,83445302,83859878,83941190,84056969,84354089,84425760,84620966,84788920,84889553,84895673,85001654,85145417,85391769,85656977,85676126,86015609,86022878,86483318,86535149,86570697,86642777,86710902,86774573,87147459,87166742,87234737,87235188,87434019,87445673,87543680,87682169,88015584,88241693,88549457,88739702,89151974,89337617,89548553,90054144,90161942,90322886,90323188,90501208,90558569,90756557,91174697,91269353,91292532,91397990,92331225,92344820,92423753,92541113,92693537,92772250,92885510,93008669,93019770,93327038,93514428,93575079,93599885,93618713,93628790,93658707,93823049,93997697,94317593,94651805,94978980,95017457,95320888,95387535,96226985,96240948,96690228,96969590,97353926,97437062,97615938,97705000,97752655,97891769,98159224,98338649,98486640,98699320,98755262,98845085,98869277,98961342,99017532,99022170,99176884,99207140,99221088,99563510,99637097,99727913,99822797,...,8123852288085240289954772824494472830763017137101001850694274754314730231673152360008199849355378735087517032725993234600911878094914863934082607576237488972956268803071459117551211383990312049485458123842160255134200974216035607577525581699883715211882028892483380804423758835502739047099377254383931776881148565804837833770031955536204946816273157240139173072422058424395702229275082456021015436469150353296387959324920848061884043899848568028460836637422993912255529519334652946726042868647385237887306406020322589689168375940769208237783328038819511857072978193839419822768241560332956363299851603613034701612081282291866685659914137755039182374604641633448195403482747900604975467217547931486149056574535148299868965552668495762505560779352191682729735549863109543703561082720899529081350579427555411370051650192150604519196218377427194557602496665989578038530094630767128278036563550462513130483389825674971458941083740580710340386309434502002995479727718408066542480870933492047474747226838081246824052060651810044973303543179901721281249623139962714214907859818803000741458943572328549927025604450526928831038426899615121044613720207552667336243653596653889832850044642094937740951660817063187597863707842682948588203727569569687487263414471852492448547177147045809912087232121338859485884153015172256273839561756397804072667598437204810508524260723309366792403743710165340754227962138063970883809597026118116798488655763907937507516112269142891401064875886219713392291749668033934236537364643310806231512258147729360846703744716373996681891909416274771383022768612541538447035361815966349747045466624029718802168858388319129378507001460726459702422456640983238959439843423274177127748318644746565152942495452179735231973694688809191863714578058915498898325606023858481786879861898499446936926807009649278425844730954624413367090580057642258802566859771958941444038574685286384769347134605235641778331319889378589929455421500990296839494544470414021854457390939049310626129301628135616245077947255351095995475575240273473950317598405787520460552569100101297040807018528643852481624216979783214432230191705608180864805145968733518016220100149669874338843641866864383466436191801152761077546658246799204313469665969660666391620085911209448509747166090720321242639749205297346421650805689603143272616151153795103792864315692354435001964506941544165355095120159538836411489680534256669822887572404098678225720443076639848079041317609931110874514052570496871174202227246266494084734606512386785922652034479235054264734028517818215178605601951844019828634596714036883526738688651171550775719208295912890493074165277842966683380022467560944825021861749486076696031056328825542714593652610819031135168769913548654448054805821187808247076859136458546542070691948184220961609019699621478083211441274076193136343115521382453480624032489271655422927514203431567350908719938212128452248854536333312189955203688949467257594028580038126664203064837802034432721526207074734624556568682188250189947685909711201136845411808832155434964302573233606259080871186863532628230484933716604998742569250726920201188571422652572812}
19568  55417519284401428663487815596356307778614146445625666197371650980081423: {273826,391180,469416,508378,528093,722647,860332,898978,1189927,1306567,1539631,1797772,1888687,2053065,2189936,2301826,2444125,2463678,2469007,2700631,2931967,2932950,2970536,3128480,3234178,3341853,3466906,3509047,3519540,3754176,3776986,4009378,4223448,4241626,4751379,4843688,4983465,5315696,5323546,5400706,5449149,5569185,5786266,5940464,5980158,6325378,6367447,6480847,6683022,6707431,6940546,6976137,7094109,7477978,7863052,8304925,8327596,8383089,8495985,8892065,9009178,9062384,9292447,9515431,9516488,9924826,9965910,10182892,10195182,10533677,10630304,10645996,10670478,10686106,10706049,11293978,11381576,11822305,11825026,11959092,12203866,12313256,12447617,12702950,12804273,13337986,13371031,13418572,13564378,13790626,13852413,14186766,14694178,14800972,14824029,15048110,15211927,15243540,15508065,15670426,16259776,16392007,16541936,16925527,16933377,17258385,17782310,18057732,18285346,18292248,18408944,18582946,18609678,19461367,20088847,20304652,20578779,20609767,20710062,20755785,20817631,21065198,21176026,21338772,21497300,21542887,21598376,22011437,22058767,22139504,22281346,22501978,23016226,23391631,23456386,24120785,24248865,24298173,24481186,24700378,24906942,25403300,25418431,25796760,25865456,25993785,26221087,26620687,26812996,27125932,27391906,27516544,27726704,28063688,28318665,28404631,28573853,28699687,28896031,28909786,28944942,29021355,29053978,29098638,29385292,29678527,30061065,30093140,30206576,30214457,30255357,30348826,30483960,30737452,30850978,30956112,31036807,31192542,31444910,31571649,31614607,31924378,32065136,32476447,32516224,32952727,32962665,33136546,33882412,33982398,34107249,34294455,34627546,34825626,34933447,35120431,35160176,35400367,35418056,35586631,36073278,36111768,36308129,36387561,36534178,36580752,37019865,37250047,37459372,37588378,37733892,37890631,38177985,38304280,38848666,38980567,39251431,39337378,39487856,39555198,39845313,39880927,39914265,40492785,40625739,40723184,40789137,40819790,40863007,40937626,41153346,41268297,41422978,42460378,42575216,42790252,42975487,42990200,43092315,43163510,43192304,43236631,43318525,43497127,43631746,44423838,44524378,44789887,44921300,44924621,45345946,45387631,45648669,45694065,45701705,45813582,45965136,46097026,46710106,46743897,46761196,46778146,47389786,47897118,48199496,48363975,48570967,48591342,48740336,48957196,48983748,49128925,49216161,49395532,49717567,49756066,49779065,50309265,50366431,50644097,50923688,51132158,51300375,51331087,51588240,51634978,51710778,51796212,51969178,51982230,52037985,52169506,52206247,52436386,52613985,52758631,53331069,53443677,53620504,53642696,53663216,53697367,53833306,53853905,53905560,53930431,54224433,54522065,54720400,54832878,54842046,54958978,55027456,55168329,55447712,55507184,55695727,55874217,55948378,56121584,56225431,56376127,56802946,57236332,57289149,57499264,57720226,57785626,57867247,58036770,58162856,58373506,58602007,58642401,58699546,58821031,58954710,59350426,59545378,59734878,60323067,60348033,60371118,60643755,60975631,61071875,61187527,61328431,61444526,61552012,61560450,61889167,61905888,62281857,62378676,62445582,62583607,62645026,62885024,62928127,63021153,63136782,63222106,63414178,63623425,63747631,64178030,64288207,64466888,64555852,64587677,64624686,64686672,64757431,65223127,65288150,65426478,65433213,65619487,65664480,65828865,65947807,66516925,67243087,67351426,67556073,67781357,67879927,68004237,68567105,68667357,69070087,69255631,69644124,69838185,69858946,70042112,70045978,70170586,70217456,70521196,70526217,70745652,70776631,70896367,71103106,71112950,71194447,71271273,71813175,72215212,72348710,72402586,72495489,72525249,72637996,72698385,72733444,72772506,72780617,72834178,72845661,72945127,73018906,73045940,73286250,73326466,73852327,73872540,73964431,74190305,74409967,74494064,74520631,74960407,75772546,76039687,76348110,76600720,76622626,76673431,76934150,77013636,77273885,77544944,77590306,77859127,77960431,78172000,78345780,78409785,78433666,78440601,78526732,78611887,78613978,78797376,78957631,78994638,79188557,79315293,79348447,79661585,79686631,79690521,79692826,79820310,80163631,80305327,80493247,80957425,81123226,81418557,81437984,81449932,81716506,81894178,82088407,82280526,82367266,82527967,83088631,83385487,83405777,83427607,83568832,83595367,83637104,83805822,83965629,84132226,84254887,84366466,84416887,84541978,84678465,84737431,84773452,84848465,85141664,85335540,85491875,85601452,85889321,85973527,86085631,86175810,86361905,86463106,86721025,86818452,86994631,87238062,87241087,87618946,87655128,87666412,87689431,87784257,87791167,87925807,87943500,88125607,88290127,88647048,88836031,88875985,88930207,89028366,89724172,89796585,89836113,90025378,90095527,90321031,90323696,90423706,90594178,90707746,90784927,91024576,91304047,91539833,91552807,91617732,91682900,91746631,91920864,92051767,92079453,92097631,92268110,92320980,92366767,92418365,92420692,92479121,92604367,92728662,92894167,93409996,93431431,93556927,93574567,93609631,93702305,93806400,93863431,93973378,94014936,94091742,94131487,94279447,94392631,94419586,94463705,94501207,94566727,94617847,94630447,94716631,94833631,94920346,94995631,95016007,95065687,95113567,95212567,95246407,95271031,95271385,95384431,95388429,95447596,95572207,95593902,95693167,95699431,95711527,95719087,95724631,95726647,95783024,95784372,96685149,96830510,96910426,96962061,97130266,97148910,97319336,97359437,98065353,98252769,98389378,98475712,98612019,98705361,99221889,99368866,99727929,99786617,99904972,99910786,99975441,99983585,...,12185778432127860434932159236741709246144525705651502776041412131472095347509728540012299774033068102631275549088989851901367817142372295901123911364356233459434403204607188676326817075985468074228187185763240382701301461324053411366288372549825572817823043338725071206635638253254108570649065881575897665321722848707256750655047933304307420224409735860208759608633087636593553343912623684031523154703725529944581938987381272092826065849772852042691254956134490868383294279001979420089064302971077856830959609030483884533752563911153812356674992058229267785609467290759129734152362340499434544949777405419552052418121923437800028489871206632558773561906962450172293105224121850907463200826321897229223584861802722449803448329002743643758341169028287524094603324794664315555341624081349293622025869141333117055077475288225906778794327566140791836403744998984367057795141946150692417054845325693769695725084738512457188411625610871065510579464151753004493219591577612099813721306400238071212120840257121870236078090977715067459955314769852581921874434709944071322361789728204501112188415358492824890538406675790393246557640349422681566920580311329001004365480394980834749275066963142406611427491225594781396795561764024422882305591354354531230895121707778738672820765720568714868130848182008289228826229522758384410759342634596706109001397655807215762786391084964050188605615565248011131341943207095956325714395539177175197732983645861906261274168403714337101597313829329570088437624502050901354806046964966209347268387221594041270055617074560995022837864124412157074534152918812307670553042723949524620568199936044578203253287582478694067760502191089689553633684961474858439159765134911265691622477967119847729413743178269602847960542033213787795571867088373248347488409035787722680319792847749170405390210514473917638767096431936620050635870086463388203850289657938412166057862027929577154020701907853462667496979834067884894183132251485445259241816705621032781686086408573965939193952442203424367616920883026643993213362860410210925476397608681280690828853650151945561210527792965778722436325469674821648345287558412271297207718953100277024330150224504811508265462800296575199654287701729141616319987370198806470204498954490999587430128866814172764620749136080481863959623807946019632476208534404714908924226730692655689296473538531652502946760412316248032642680239308254617234520801385004734331358606148017338580664614959772118561976414896666311771078855745306761303340869399741127101909768580178883978051718852581397101042776727322767908402927766029742951895071055325290108032976757326163578812443869335739611247916764450025070033701341417237532792624229115044046584493238314071890478916228546702753154870322981672082208731781712370615288704687819813106037922276331442413529549432217124817161911114289704514673282073680220936048733907483134391271305147351026363079907318192678373281804499968284932805533424200886391042870057189996304597256703051649082289310612101936834853023282375284921528864566801705268117713248233152446453859850409388621306780295298942345727400574907498113853876090380301782857133978859218}
19569  55634806332678610405659401228732160150529418434907482747891620523126094: {410739,488975,586770,625888,704124,762567,1075415,1290498,1348467,1916194,2247215,2599219,2696658,2737420,3284904,3302767,3452739,3654167,3695517,3713170,3910600,4238227,4399425,4455804,4651234,4692720,4851267,5005568,5197906,5200359,5279310,5589298,5631264,5665479,6014067,6054610,6335172,6362439,6604858,6644620,7050691,7265532,7425580,7929586,7973544,7985319,8101059,8326927,8679399,8910696,8970237,9301516,9458812,9488067,9828815,9958879,10024533,10409495,10410819,10774099,11177452,11216967,11327980,11679538,11794578,11895610,12491394,12617026,12728615,13287880,13307495,13513767,13593576,14226970,14227304,14274732,14474194,14887239,14948865,15274338,15292773,15391570,15937219,15945456,15968994,16005717,16029159,16107826,16773215,16940967,16974919,17072364,17737539,17938638,18305799,18469884,18489367,18501215,18746227,18898579,18915688,19054425,19060151,19372066,19765372,20002879,20006979,20127858,20324720,20346567,20677420,20685939,21280149,21616727,22041267,22201458,22367647,22572165,22577836,22587751,22632274,22865310,23011180,23505639,23837554,24076976,24260866,24389664,24555727,24801859,24812904,25380815,26430754,26673465,26871625,26872378,26997970,27014599,27086598,27428019,27438372,27470759,27556399,27613416,27674380,27874419,27914517,27994307,28056994,28451696,28519234,28726786,29225971,29267447,29447519,30391906,30456978,30765154,30990799,31006999,31065093,31289698,31597797,31754125,31764039,32008158,32077279,32245950,32331820,32397564,33200914,33209256,33422019,33516245,33752967,33851026,33907415,34395680,34524339,34551874,34658380,34828786,35073586,35079610,35086519,35184579,35621267,35632786,35965618,36024067,36721779,36731615,36831007,37050567,37154867,37253314,37360413,37616425,37758220,37793266,38057779,38104950,38157251,38421815,38572978,38593256,38695140,38798184,39828479,40081420,40086671,40219494,40262311,40340476,40420186,40441267,40645280,40688898,41087859,41274816,41590056,41849146,42018418,42095532,42174559,42353015,42647794,43250567,43364679,43417413,43580967,43647957,43694338,43946047,43950220,44077938,44272570,44382274,44558227,45139710,45309864,45476332,45523239,45725940,46106178,46276467,46434168,46633906,46788813,46824215,46832999,46867699,46917941,46937359,46955314,47095511,47167365,47880350,47886567,48097704,48149024,48341914,48497279,48516748,48568786,48774336,49070554,49106386,49147799,49359820,49704819,50311856,50506367,50789651,50823618,50892499,50903980,50973597,51941319,52238439,52299106,52548946,52740264,53127084,53219020,53487815,53737750,53970899,53990380,54101554,54109917,54167652,54284626,54385516,54563927,54669298,54671567,54801267,54871128,55024396,56046367,56151625,56189058,56382567,56408527,56600838,56639327,56790946,56993639,57076151,57117658,57456420,58272999,58445938,58451495,58459087,58952039,59006067,59129626,59231784,59332797,59377186,60028114,60041539,60249370,60300599,60842039,60864892,60925420,61084776,61196495,61229685,61286848,61406439,61440274,61730019,61744415,62134467,62325196,63654610,63662279,63690567,63862824,64021138,64147954,64185378,64485300,64745265,64788456,65182306,65311664,65383618,65447619,65621548,65650591,66061459,66154738,66635757,66786567,67025630,67053370,67079020,67381950,67761874,67851826,68018919,68103394,68400500,68697058,68720373,68784320,68909626,68947704,69061616,69145539,69163354,69309640,69383980,70065159,70141794,70151980,70167219,70905367,71084679,71108092,71246866,71258236,71545415,71845677,71874080,72048346,72299244,72362287,72703570,72887013,73110504,73122728,73182466,73328387,73435794,73475622,73557772,74043919,74093298,74434739,74498956,74634099,74637586,75664306,76176178,76385532,76388794,76522559,76698237,76822759,76940015,77085167,77088119,77382360,77452467,77566167,77694318,77953767,77973345,78189868,78254259,78332959,78606280,78654579,78726034,79033234,79047106,79455367,79646504,80430756,80447207,80464044,80494824,80583610,80694815,80749959,80858340,80874226,81038359,81288239,82080600,82179058,82249317,82263069,82357367,82438467,82541184,83042476,83171568,83260776,83788511,83810146,83868514,83922567,84028204,84178354,84182376,84198439,84501527,85010386,85154419,85199927,85204419,85485767,85854498,86024467,86166248,86241119,86248896,86580339,86678439,86772514,87055155,87142159,87175738,87235304,87244284,87552640,87560259,87771820,87883066,88049319,88089538,88151495,88211651,88415911,88432065,88748818,89025639,89318067,89602317,90074764,90269015,90556677,90672316,90750547,90797495,90916805,91007479,91169338,91307425,91556476,91637159,92111458,92166789,92191487,92328018,92340675,92858832,93018367,93117580,93336754,93568014,93628351,93668373,93725746,93823439,93864946,93967539,94034956,94327327,94327536,94705173,94833159,94847698,94920994,95027239,95028364,95121267,95134019,95300386,95750900,95929079,96267045,96497554,96657826,96660652,96700332,96833778,96931180,96937029,97030008,97127548,97715000,97931507,97932225,98139717,98158415,98496720,...,18278667648191790652398238855112563869216788558477254164062118197208143021264592810018449661049602153946913323633484777852051725713558443851685867046534350189151604806910783014490225613978202111342280778644860574051952191986080117049432558824738359226734565008087606809953457379881162855973598822363846497982584273060885125982571899956461130336614603790313139412949631454890330015868935526047284732055588294916872908481071908139239098774659278064036882434201736302574941418502969130133596454456616785246439413545725826800628845866730718535012488087343901678414200936138694601228543510749151817424666108129328078627182885156700042734806809948838160342860443675258439657836182776361194801239482845843835377292704083674705172493504115465637511753542431286141904987191996473333012436122023940433038803711999675582616212932338860168191491349211187754605617498476550586692712919226038625582267988540654543587627107768685782617438416306598265869196227629506739829387366418149720581959600357106818181260385682805354117136466572601189932972154778872882811652064916106983542684592306751668282623037739237335807610013685589869836460524134022350380870466993501506548220592471252123912600444713609917141236838392172095193342646036634323458387031531796846342682561668108009231148580853072302196272273012433843239344284137576616139013951895059163502096483710823644179586627446075282908423347872016697012914810643934488571593308765762796599475468792859391911252605571505652395970743994355132656436753076352032209070447449314020902580832391061905083425611841492534256796186618235611801229378218461505829564085924286930852299904066867304879931373718041101640753286634534330450527442212287658739647702366898537433716950679771594120614767404404271940813049820681693357800632559872521232613553681584020479689271623755608085315771710876458150644647904930075953805129695082305775434486907618249086793041894365731031052861780194001245469751101827341274698377228167888862725058431549172529129612860948908790928663305136551425381324539965989820044290615316388214596413021921036243280475227918341815791689448668083654488204512232472517931337618406945811578429650415536495225336757217262398194200444862799481431552593712424479981055298209705306748431736499381145193300221259146931123704120722795939435711919029448714312801607072363386340096038983533944710307797478754420140618474372048964020358962381925851781202077507101497037909222026007870996922439658177842964622344999467656618283617960141955011304099611690652864652870268325967077578278872095651564165090984151862604391649044614427842606582987935162049465135989245368218665804003609416871875146675037605050552012125856299188936343672566069876739857471107835718374342820054129732305484472508123313097672568555922933057031729719659056883414497163620294324148325687225742866671434556772009923110520331404073100861224701586906957721026539544619860977289017559922706749952427399208300136301329586564305085784994456895885054577473623433965918152905252279534923562927382293296850202557902176569872349728669680789775614082931960170442948413518591100862361247170780814135570452674285700968288827}
19570  55852939292112418813241560290790263085474761785730957556974698325455778: {215149,332401,547652,566689,782360,880155,938832,1016756,1056186,1445294,1720664,1797956,1935747,1966369,2082541,2198641,2379854,2613134,2662321,2874291,2893729,3079262,3240301,3421775,3470989,3595544,3701389,3777374,3816481,4044987,4106130,4379872,4603652,4849069,4888250,4927356,4938014,5191969,5401262,5420209,5569755,5863934,5865900,5941072,5989549,6256960,6468356,6683706,6896749,6933812,6976851,7018094,7039080,7461409,7508352,7553972,7796859,7918965,8018756,8248909,8305775,8383947,8446896,8483252,8585329,9081915,9281975,9367789,9502758,9687376,9907287,9966930,10590241,10631392,10647092,10801412,10811569,10898298,11138370,11572532,11626895,11823515,11880928,11894379,11960316,12352801,12448891,12462349,12650756,12734894,12961694,13227169,13366044,13414862,13881092,13952274,13971815,14159975,14188218,14530081,14955956,14962081,15392929,15500461,15715309,15726104,16037041,16551227,16609850,16655192,16766178,16991970,17519307,17691867,17742001,17784130,17843415,18018356,18124768,18165361,18271021,18584894,18737091,18925539,19030862,19032976,19113709,19428529,19849652,19931820,20365784,20390364,20473249,21067354,21260608,21291992,21340455,21340956,21372212,21412098,21711291,22335601,22541089,22587956,22763152,22911507,23053549,23087355,23462221,23644610,23650052,23767969,23918184,23953491,24073069,24161739,24407732,24626512,24706715,24895234,25405900,25608546,25846775,25890061,26090509,26290669,26675972,26742062,26789809,26837144,26907957,26988961,27128756,27287149,27485581,27581252,27704826,28222295,28373532,28473421,28763975,28964641,29058099,29388356,29601944,29648058,29844301,30096220,30191787,30423854,30487080,30911521,31016130,31340852,31778221,32352781,32519552,32784014,33083872,33302187,33399409,33588769,33769099,33777841,33851054,33866754,33948411,34297965,34516770,34592975,34718881,35093281,35564620,35756331,36115464,36391299,36394609,36487021,36570692,36584496,36671629,36817888,37165892,37219356,37498801,38773921,38864461,38922734,39646131,40175267,40177694,40303309,40308567,40414775,40496955,40609304,40629897,40927009,41157558,41219534,41370349,41420124,41511570,41635262,41899981,42085491,42130396,42339361,42352052,42677544,42778851,42909607,42994600,43085774,43090179,43196752,43299661,43322975,43386529,43992589,44022874,44117534,44279008,44562692,44595121,45003956,45364621,45534829,45587859,45685467,46032452,46128289,46147731,46783262,46912772,46934547,47197775,48012237,48053389,48241570,48301681,48368925,48466849,48497730,48596346,48878509,48962372,49206541,49400756,49801371,49813884,50021581,50101775,50264689,50425595,50776539,50806600,50829421,50836862,50909809,51310669,51550321,51593520,51730912,51827811,51987570,52243179,52442174,52502449,52610379,52619415,52660129,53053069,53241374,53449179,53625992,53948427,54251864,54298381,54783812,54937775,55033088,55453408,55829101,55879971,56127376,56637330,56689899,56809262,56845415,57147706,57157425,57399374,57792062,57819572,57859467,57889884,58042710,58107956,58197276,58770584,59357054,59457649,59529901,59674189,59890081,59961901,60122130,60176929,60186280,60319921,60329241,60413152,60428914,60510714,60630279,60645935,60697652,60967920,61033347,61383181,61453489,61474904,61699775,61701956,61912224,62073614,62152609,62291569,62385084,62499469,62773719,62889820,63027627,63119281,63143298,63229214,63629975,63733261,63848756,63971691,63982387,64071841,64130272,64676749,64952894,65010289,65032448,65342029,65474221,65541507,65905454,65925330,66065521,66116907,66273092,66408855,66523775,66573411,66715681,66844849,66973729,67422541,67487975,67709565,67740961,67764824,67964796,67981895,67994401,68214498,68588910,68780495,69159267,69255092,69613681,69651252,69674989,69690691,69797389,69866894,69919501,69950859,70240862,70320352,70432971,70766221,70800734,70836112,70886029,71065201,71173262,71598829,71820525,72146556,72184909,72223536,72243121,72301261,72512871,72616258,72775122,72853179,72936049,73050529,73068356,73161504,73335469,73605831,73618609,73659579,74039730,74235181,74500094,74918744,75176756,75395467,75467784,75781262,76081115,76156775,76235427,76330891,76355970,76456561,76608560,76666801,77239021,77547469,77697332,77906495,77961134,78005281,78448659,78502862,78556909,78674756,78705841,78804769,78823419,78975712,79001761,79110396,79148749,79392289,79690626,79761854,79828530,79921741,79969441,80254129,80348449,80489389,80606625,80985570,81152331,81251478,81426939,81446368,81578274,81639580,81726014,81773581,81875252,82003947,82026935,82174369,82262641,82306692,82536594,82699681,82845956,82915501,83299441,83677549,83802289,83848775,83967601,84283587,84617329,84901257,84920756,85092529,85150432,85186419,85364941,85403569,85500625,85580504,85676487,85936801,85950974,85974349,85980400,86184630,86327020,86384608,86473262,86601649,86637050,86710189,86729975,86994254,86996461,87173041,87263492,87417229,87486349,87520801,87668907,87689975,87759949,87995569,88227661,88423789,88694439,88847676,88885115,89027761,89048756,89065779,89072795,89304781,89579774,89605741,89724109,89842600,89849242,90042171,90298669,90326641,90374055,90520429,90656689,90691892,90775262,90791149,90897421,90923809,91158061,91285681,91297338,91388130,91403410,91411501,91627164,91633441,91778161,91930272,91947215,92013601,92160411,92194052,92331121,92375329,92842609,92863021,92983981,93063181,93123695,93141229,93293869,93420212,93487794,93514189,93522392,93532081,93556292,94097569,94128241,94203661,94334881,94527409,94779572,94836109,94847521,94892449,95070541,95080369,95147149,95192689,95326321,95434861,95448109,95467441,95481915,95492209,95521549,95532781,95579761,95612269,95620909,95625121,95645101,95652589,95659789,95682721,95721889,95741869,95745901,95794236,95993947,96031707,96221931,96278067,96398992,96727950,96774227,97141934,97182684,97480672,97737335,97773459,97914392,97967496,98075427,98257850,98432322,98791064,99232107,99435134,99512132,99558130,...,24371556864255720869864318473483418492289051411303005552082824262944190695019457080024599548066136205262551098177979703802735634284744591802247822728712466918868806409214377352653634151970936148456374371526480765402602922648106822732576745099651145635646086677450142413271276506508217141298131763151795330643445697414513501310095866608614840448819471720417519217266175273187106687825247368063046309407451059889163877974762544185652131699545704085382509912268981736766588558003958840178128605942155713661919218060967769067505127822307624713349984116458535571218934581518259468304724680998869089899554810839104104836243846875600056979742413265117547123813924900344586210448243701814926401652643794458447169723605444899606896658005487287516682338056575048189206649589328631110683248162698587244051738282666234110154950576451813557588655132281583672807489997968734115590283892301384834109690651387539391450169477024914376823251221742131021158928303506008986439183155224199627442612800476142424241680514243740472156181955430134919910629539705163843748869419888142644723579456409002224376830716985649781076813351580786493115280698845363133841160622658002008730960789961669498550133926284813222854982451189562793591123528048845764611182708709062461790243415557477345641531441137429736261696364016578457652459045516768821518685269193412218002795311614431525572782169928100377211231130496022262683886414191912651428791078354350395465967291723812522548336807428674203194627658659140176875249004101802709612093929932418694536774443188082540111234149121990045675728248824314149068305837624615341106085447899049241136399872089156406506575164957388135521004382179379107267369922949716878319530269822531383244955934239695458827486356539205695921084066427575591143734176746496694976818071575445360639585695498340810780421028947835277534192863873240101271740172926776407700579315876824332115724055859154308041403815706925334993959668135769788366264502970890518483633411242065563372172817147931878387904884406848735233841766053287986426725720820421850952795217362561381657707300303891122421055585931557444872650939349643296690575116824542594415437906200554048660300449009623016530925600593150399308575403458283232639974740397612940408997908981999174860257733628345529241498272160963727919247615892039264952417068809429817848453461385311378592947077063305005893520824632496065285360478616509234469041602770009468662717212296034677161329229919544237123952829793332623542157711490613522606681738799482254203819537160357767956103437705162794202085553454645535816805855532059485903790142110650580216065953514652327157624887738671479222495833528900050140067402682834475065585248458230088093168986476628143780957832457093405506309740645963344164417463563424741230577409375639626212075844552662884827059098864434249634323822228579409029346564147360441872097467814966268782542610294702052726159814636385356746563608999936569865611066848401772782085740114379992609194513406103298164578621224203873669706046564750569843057729133603410536235426496466304892907719700818777242613560590597884691454801149814996227707752180760603565714267957718436}
19571  56071921432469552963266118250079876622202810636326995219494744885028461: {19571,684565,821478,977950,1173540,1251776,1270945,1408248,1505581,1525134,1584279,2150830,2167941,2247445,2580996,2696934,3146101,3569781,3654541,3832388,3919701,4084069,4318561,4494430,4618893,5198438,5393316,5474840,5666061,5754565,6159195,6230389,6569808,6605534,6905478,7308334,7332375,7391034,7407021,7426340,7636621,7821200,8085445,8101893,8476454,8667265,8795901,8798850,8911608,9302468,9385440,9442465,9702534,10011136,10023445,10025559,10395812,10400718,10527141,10558620,10604065,11178596,11262528,11330958,11372581,12028134,12109220,12656149,12670344,12724878,13209716,13289240,13308865,13501765,13760341,14101382,14254137,14465665,14531064,14573293,14851160,14950395,15220909,15586093,15813445,15859172,15947088,15970638,16202118,16347447,16653854,16707555,17351365,17358798,17570401,17782501,17820061,17821392,17940474,18395101,18603032,18630493,18694945,18917624,18976134,19062109,19102341,19442541,19657630,19917758,20049066,20122293,20767021,20818990,20821638,20928411,21080581,21282327,21548198,22044781,22354904,22433934,22522945,22525633,22655960,23186689,23359076,23482501,23515981,23589156,23791220,24172621,24812065,24914775,24982788,25149267,25234052,25457230,25487955,25547041,25901701,26446573,26575760,26614990,26676195,26715265,27027534,27147901,27187152,27473581,27877341,27997189,28234945,28453940,28454608,28546293,28549464,28948388,29270461,29562565,29694709,29774478,29897730,29954593,30509665,30548676,30585546,30702613,30783140,31601031,31757375,31805941,31874438,31890912,31937988,32011434,32058318,32084593,32118147,32215652,32761009,32911933,33084181,33335413,33344965,33508981,33546430,33881934,33910945,33949838,34144728,34476565,34588801,35374093,35375173,35466915,35475078,35533141,35877276,36611598,36735445,36893461,36939768,36978734,37002430,37342851,37346161,37492454,37543741,37620275,37797158,37831376,38108850,38120302,38161189,38412819,38583589,38744132,39176065,39530744,40005758,40013958,40090789,40113093,40255716,40649440,40693134,41215873,41354840,41371878,41557239,41942893,42097861,42323521,42560298,42851269,43024693,43233454,43255021,44082534,44402916,44455775,44472087,44589733,44735294,45094933,45144330,45155672,45175381,45175502,45222193,45264548,45635781,45713365,45730620,46022360,46457365,46524195,46922743,47011278,47100349,47470381,47675108,47844301,48153952,48274501,48338869,48502261,48521732,48691969,48779328,49111454,49176021,49392853,49603718,49625808,49807501,50062861,50761630,50776581,50800131,51129301,51214669,51424261,51775155,52662995,52861508,52940065,53312149,53346930,53464861,53732461,53743250,53744756,53790541,53995940,54029198,54173196,54856038,54876744,54929893,54941518,55039693,55112798,55226832,55348760,55703365,55748838,55800421,55829034,55988614,56113988,56254945,56728741,56903392,56942689,56999521,57038468,57453572,57500509,57540565,58234801,58384101,58451942,58503421,58534894,58640965,58895038,59294221,59402221,59610721,60024133,60266541,60783812,60913956,61202965,61270093,61427713,61530308,61736337,61750945,61829301,61981598,62013998,62097541,62130186,62267355,62452893,62579396,62904481,63195594,63508250,63528078,63668833,63698773,64016316,64154558,64459261,64484641,64491900,64628661,64663640,64795128,65553901,65850829,65887573,66034311,66176301,66178141,66401828,66418512,66844038,67032490,67453633,67505934,67702052,67814830,68052781,68479765,68791360,69048678,69103748,69316760,69657572,70020901,70147172,70159220,70173038,70174893,70369158,70940209,71242534,71265572,71931236,72048134,72274465,72362355,72621121,72634945,72746595,72894519,73179061,73336021,73443558,73463230,73662014,73751029,74101134,74309734,74442421,74506628,74580781,74720826,74882941,75232850,75516440,75586532,75839341,75872065,76115558,76209900,76255293,76314502,76843630,76911493,77127445,77145956,77186512,77285041,77390280,77596368,77981355,78213493,78612275,78663261,79656958,79810945,79862061,79965589,80162840,80173342,80438988,80455489,80524622,80680952,80840372,80882534,81199201,81290560,81377796,81438349,81832093,82040221,82175718,82404541,82549632,82841365,83180112,83684821,83698292,84036836,84191064,84349118,84371461,84706030,84913189,84955995,85208701,85213893,85295588,85525213,85675093,85721559,86099061,86442181,86501134,86568865,86660821,86688093,86729358,86792449,86834826,87064065,87161934,87295914,87388676,87892094,87900440,88155876,88220869,88545140,88567693,88632709,88764548,89035581,89116454,89356021,89567029,89958961,90183195,90279420,90577213,90619728,90643371,90766071,90952664,91046478,91335445,91451880,91604533,91646593,92046469,92067121,92200981,92212356,92335309,92442781,92552934,92868336,93110421,93267812,93577626,93648430,93665998,93735398,93835882,93874718,93910628,93970945,94017061,94046341,94191022,94334730,94714947,94843821,95143813,95760700,95773134,96195408,96298048,96387133,96683828,96994558,97033496,97121665,97137572,97429341,97548672,97648093,97941589,98141108,98212772,98295598,98343445,98358901,98719640,98858181,98887995,99409638,99843361,99865441,...,36557335296383581304796477710225127738433577116954508328124236394416286042529185620036899322099204307893826647266969555704103451427116887703371734093068700378303209613821566028980451227956404222684561557289721148103904383972160234098865117649476718453469130016175213619906914759762325711947197644727692995965168546121770251965143799912922260673229207580626278825899262909780660031737871052094569464111176589833745816962143816278478197549318556128073764868403472605149882837005938260267192908913233570492878827091451653601257691733461437070024976174687803356828401872277389202457087021498303634849332216258656157254365770313400085469613619897676320685720887350516879315672365552722389602478965691687670754585408167349410344987008230931275023507084862572283809974383992946666024872244047880866077607423999351165232425864677720336382982698422375509211234996953101173385425838452077251164535977081309087175254215537371565234876832613196531738392455259013479658774732836299441163919200714213636362520771365610708234272933145202379865944309557745765623304129832213967085369184613503336565246075478474671615220027371179739672921048268044700761740933987003013096441184942504247825200889427219834282473676784344190386685292073268646916774063063593692685365123336216018462297161706144604392544546024867686478688568275153232278027903790118327004192967421647288359173254892150565816846695744033394025829621287868977143186617531525593198950937585718783822505211143011304791941487988710265312873506152704064418140894898628041805161664782123810166851223682985068513592373236471223602458756436923011659128171848573861704599808133734609759862747436082203281506573269068660901054884424575317479295404733797074867433901359543188241229534808808543881626099641363386715601265119745042465227107363168040959378543247511216170631543421752916301289295809860151907610259390164611550868973815236498173586083788731462062105723560388002490939502203654682549396754456335777725450116863098345058259225721897817581857326610273102850762649079931979640088581230632776429192826043842072486560950455836683631583378897336167308976409024464945035862675236813891623156859300831072990450673514434524796388400889725598962863105187424848959962110596419410613496863472998762290386600442518293862247408241445591878871423838058897428625603214144726772680192077967067889420615594957508840281236948744097928040717924763851703562404155014202994075818444052015741993844879316355685929244689998935313236567235920283910022608199223381305729305740536651934155156557744191303128330181968303725208783298089228855685213165975870324098930271978490736437331608007218833743750293350075210101104024251712598377872687345132139753479714942215671436748685640108259464610968945016246626195345137111845866114063459439318113766828994327240588648296651374451485733342869113544019846221040662808146201722449403173813915442053079089239721954578035119845413499904854798416600272602659173128610171569988913791770109154947246867931836305810504559069847125854764586593700405115804353139744699457339361579551228165863920340885896827037182201724722494341561628271140905348571401936577654}
19572  56291756036065649496046367587895327228607144041202421480353593035949049: {254267,371507,430298,566747,605771,664802,800771,1095304,1133378,1232217,1384571,1466925,1564720,1617587,1733987,1760310,1877664,1966571,2005307,2033512,2112372,2121467,2287701,2546771,2701187,2890588,2894027,2932571,3226245,3441328,3509771,3595912,3701771,3740147,3855227,3871494,3932738,4045401,4165082,4397282,4620587,4759708,4790485,5078267,5226268,5230571,5324642,5458787,5748582,5787458,6028067,6158524,6480602,6741645,6784307,6843550,6897467,6941978,7191088,7402778,7462187,7554748,7632962,7797657,7837667,8089974,8212260,8249771,8287187,8759744,9207304,9282925,9368771,9517427,9591707,9698138,9776500,9854712,9876028,9908301,9925571,10295771,10358217,10383938,10702067,10802524,10840418,10849571,10962501,11086551,11139510,11254547,11364827,11621867,11628085,11727868,11731800,11882144,11979098,12354107,12463667,12500171,12513920,12714681,12719027,12936712,12994765,13198275,13367412,13793498,13808987,13867624,13953702,13973245,14036188,14078160,14459507,14553801,14922818,15016704,15107944,15136525,15430427,15537947,15593718,15601077,15837930,15967307,16037512,16074467,16277653,16466771,16497818,16512145,16552921,16611550,16767894,16893792,16966504,16996437,17000171,17170658,18042201,18163830,18563950,18735578,18905507,19005516,19087317,19115771,19150787,19374752,19430627,19465571,19560541,19779707,19814574,19823965,19933860,20162771,20822147,21152073,21180482,21262784,21294184,21547571,21602824,21623138,21796596,21926147,22063571,22276740,22577771,23056067,23145064,23253790,23464787,23647030,23761856,23788758,23804507,23920632,23955957,24075707,24109571,24303177,24705602,24785171,24897782,24924698,24980781,24987227,25121771,25301512,25469788,25826027,25923388,25926347,26038197,26093387,26293571,26326907,26454338,26732088,26825987,26829724,26910711,27290171,27488627,27620771,27762184,27904548,27943630,28082267,28319950,28376436,28464201,28476587,28771571,28967867,29060162,29198845,29486445,29739025,29782667,29876637,29880107,29911912,29924162,30073599,30527867,30721571,30785858,30914987,31000922,31228485,31232457,31430618,31452208,31542565,31717787,31813787,32074082,32165171,32322297,32356427,33102454,33219700,33310384,33403187,33532356,33650901,33781667,33983940,34347227,34589401,34722827,35034947,35038614,35128427,35190707,35383734,35484002,35567425,35568260,35686830,35966507,36036712,36121067,36185485,36249536,36330722,36398771,36429587,36521987,36542042,37136147,37169788,37319771,37474182,37503107,37851078,37899347,38061724,38065952,38185845,38227418,38415467,38478925,38536571,38808587,38857058,38989571,39320627,39440771,39511213,39699304,39863640,39922485,40218587,40269565,40337771,40541301,40731568,40780728,40931771,40946498,40961387,41050187,42134708,42285827,42521216,42583984,42680910,42681912,42744424,42824196,43130771,43246787,43304747,43420571,43422582,43824947,43997771,44026547,44256467,44661717,44671202,44846595,44901769,45082178,45142571,45175912,45313187,45398387,45455147,45526304,45823014,45878319,45964547,46107098,46133771,46174710,46246427,46924442,47289220,47300104,47479861,47535938,47560547,47811657,47836368,47906982,48017151,48059147,48087477,48146138,48323478,48430165,48815464,48884387,49075907,49253024,49294307,49413430,49702427,49790468,49865171,49973507,50319645,50781947,50811800,50822901,50924757,51217092,51316907,51343571,51693550,51780122,52181018,52271771,52429907,52508867,52581338,53085707,53212617,53320571,53351944,53484124,53579618,53674288,53684627,53815914,53943707,53977922,53995427,54253547,54257512,54574298,54844187,54917397,54971162,55162504,55405187,55409652,55468101,55503645,55760171,55861307,56238681,56239427,56390171,56444590,56580685,56695737,56740787,56747064,56946842,57139571,57163275,57180453,57263771,57527950,57659867,57929282,58116198,58225667,58372571,58616771,58776712,59203888,59296116,59561507,59593885,59688602,60008637,60020937,60192440,60208427,60327587,60383574,60652165,60847708,60974160,60991187,61039701,61250171,61391027,61461347,61484771,61625147,61823042,62032260,62057817,62160587,62322707,62438267,62530571,62681704,63195947,63423827,63556442,63560171,63764147,63809387,63840447,64102667,64685171,64705562,64850181,65018771,65039104,65040947,65151707,65218067,65372627,65482787,65568028,66076885,66095987,66123801,66167744,66465227,66604374,66798818,67004027,67102941,67177538,67180945,67196771,67303571,67494925,67538198,67555682,67622771,67702108,67716495,67733508,67763253,67896822,68024507,68595930,68902307,69033540,69088571,69185950,69315347,69377027,69437762,69928907,70111571,70142485,70186562,70192547,70414571,70495067,70516917,70595833,70795787,70835747,70915571,71035067,71129240,71213771,71298085,71512662,71785187,71816965,71922107,72078107,72214187,72230928,72311147,72388571,72782598,72789218,72946067,72965171,72974042,73060571,73079627,73141384,73168992,73231787,73343258,73635776,73667181,74301107,74331784,74405577,74438712,74467571,74997602,75017771,75452747,75847427,75979765,76096571,76142445,76520027,76642667,76695107,76912885,77404571,77547842,77575571,77728922,77845468,77932067,78016427,78224245,78568187,78584771,78667571,78733667,78816107,78980387,79013147,79292262,79403771,79419947,79583581,79741787,79805771,79981067,80020395,80044571,80218547,80265827,80281571,80350534,80355388,80360171,80501147,80516771,80606618,80614875,80617134,80688107,80829550,80843027,80966387,80993910,81043797,81073907,81218608,81259794,81287771,81854018,81979427,82284057,82315116,82333571,82406771,82412277,82439068,82552571,82669197,82712027,82740698,82840248,83002285,83023140,83270524,83354267,83623257,83743551,83773427,83799962,83911547,83980307,83982921,84170982,84226187,84260792,84442571,84627565,84643571,84678722,84704104,84763307,84789827,84904309,85157747,85355088,85378067,85416707,85429571,85557702,85608827,85735907,85819214,85950107,85989200,86000171,86075027,86112347,86171548,86180358,86359307,86379685,86393504,86599322,86627267,86645950,86735771,86773058,86795771,87021947,87045587,87071965,87256907,87338387,87677913,87683965,87699025,87773867,87785171,87802341,87841571,87908987,87985178,88045748,88109507,88235068,88342557,88383707,88558016,88663571,88822571,88864667,89042147,89081965,89125384,89190242,89227547,89298947,89500787,89630267,89689571,89738771,89748587,89914045,89923907,90007912,90125171,90350867,90535427,90644627,90671747,90729242,90815171,90947771,91000307,91069658,91156187,91175718,91199027,91284107,91370934,91583771,91657067,91777787,91793747,91935947,91982771,92029307,92064904,92106227,92144387,92256578,92295462,92398571,92550947,92762507,92817707,92858771,92885987,92926571,92972397,93020997,93125171,93133285,93183347,93195279,93310307,93316571,93384947,93476627,93536747,93566524,93590171,93642947,93825544,93869094,93908027,94114571,94145267,94356827,94395550,94413227,94483165,94504667,94518107,94544771,94562387,94614467,94627307,94673771,94759787,94793391,94830707,94868987,94887827,94910171,94913867,95038187,95051771,95101571,95168267,95174653,95210771,95213747,95237267,95262375,95292117,95307467,95390027,95399771,95425907,95466587,95468771,95512787,95547707,95574827,95609771,95619107,95626667,95632571,95639771,95641187,95645387,95660171,95667827,95671547,95690171,95701787,95739227,95741771,95745347,95747027,95756387,95761571,95762987,95763587,95763947,95765507,95765771,96024474,96106778,96231837,96292693,96432445,96483140,96603362,96737850,96933698,96995460,97192692,97757018,97924744,98413082,98801512,99602742,99627768,...,54836002944575371957194716565337691607650365675431762492186354591624429063793778430055348983148806461840739970900454333556155177140675331555057601139603050567454814420732349043470676841934606334026842335934581722155856575958240351148297676474215077680203695024262820429860372139643488567920796467091539493947752819182655377947715699869383391009843811370939418238848894364670990047606806578141854196166764884750618725443215724417717296323977834192110647302605208907724824255508907390400789363369850355739318240637177480401886537600192155605037464262031705035242602808416083803685630532247455452273998324387984235881548655470100128204420429846514481028581331025775318973508548329083584403718448537531506131878112251024115517480512346396912535260627293858425714961575989419999037308366071821299116411135999026747848638797016580504574474047633563263816852495429651760078138757678115876746803965621963630762881323306057347852315248919794797607588682888520219488162099254449161745878801071320454543781157048416062351409399717803569798916464336618648434956194748320950628053776920255004847869113217712007422830041056769609509381572402067051142611400980504519644661777413756371737801334140829751423710515176516285580027938109902970375161094595390539028047685004324027693445742559216906588816819037301529718032852412729848417041855685177490506289451132470932538759882338225848725270043616050091038744431931803465714779926297288389798426406378578175733757816714516957187912231983065397969310259229056096627211342347942062707742497173185715250276835524477602770388559854706835403688134655384517488692257772860792556899712200601914639794121154123304922259859903602991351582326636862976218943107100695612301150852039314782361844302213212815822439149462045080073401897679617563697840661044752061439067814871266824255947315132629374451933943714790227861415389085246917326303460722854747260379125683097193093158585340582003736409253305482023824095131684503666588175175294647517587388838582846726372785989915409654276143973619897969460132871845949164643789239065763108729841425683755025447375068346004250963464613536697417553794012855220837434735288951246609485676010271651787194582601334588398444294657781137273439943165894629115920245295209498143435579900663777440793371112362168387818307135757088346142938404821217090159020288116950601834130923392436263260421855423116146892061076887145777555343606232521304491113727666078023612990767318974533528893867034998402969854850853880425865033912298835071958593958610804977901232734836616286954692495272952455587813174947133843283527819748963805486148395407967736104655997412010828250615625440025112815151656036377568897566809031017698209630219572413323507155123028460162389196916453417524369939293017705667768799171095189158977170650243491490860882972444977061677228600014303670316029769331560994212219302583674104760720873163079618633859582931867052679768120249857282197624900408903988759692915257354983370687655163732420870301897754458715756838604770688782146879890550607673706529709617049186009042369326842248795880511328845240555773302587083741512342442406711358022857102904866481}
19573  56512446397813100739534503450116517609577030571450205195478280427671759: {39142,645447,958391,997203,1369130,1642956,1700067,1779323,1955900,2347080,2503552,2541890,2640465,2816496,3011162,3050268,3146423,3168558,3613235,4084487,4301660,4319003,4335882,4494890,4826627,5161992,5393868,5807241,5899107,5949635,6247623,6292202,6532835,6595923,6660071,7139562,7309082,7363187,7664776,7698155,7839402,7986963,8056391,8168138,8535047,8622873,8637122,8681187,8988860,9237786,9443435,9720903,10265325,10396876,10412967,10786632,10949680,11104167,11319623,11332122,11449443,11509130,12134171,12134961,12220625,12318390,12345035,12460778,13085171,13139616,13211068,13219451,13440323,13503155,13810956,14032823,14547207,14616668,14659835,14664750,14782068,14814042,14845691,14852680,14957267,15273242,15575907,15642400,15649667,16170890,16203786,16260627,16709265,16930727,16952908,17334530,17419751,17545235,17591802,17597700,17823216,17968647,17988347,18604936,18632411,18770880,18884930,18902471,19292423,19405068,19637507,20022272,20046890,20051118,20251931,20690247,20791624,20801436,20930553,20931011,21015683,21054282,21117240,21208130,22138823,22197971,22357192,22384227,22525056,22527947,22661916,22745162,23390577,23756895,24056268,24178403,24218440,24291911,24317747,24542843,24746727,24785771,24917325,25151841,25312298,25340688,25449756,25755987,26052923,26157611,26172923,26282567,26419432,26578480,26617730,27003530,27245745,27343067,27520682,27845925,28103367,28202764,28508274,28567643,28931330,29062128,29146586,29697767,29702320,29721861,29900790,30023303,30441818,30705767,31172186,31532123,31626890,31718344,31770723,31837235,31894176,31941276,32020427,32083883,32404235,32404236,32434707,32694894,32701883,33087587,33307708,33415110,33537155,33891371,34359107,34465427,34592363,34702730,34717596,34736891,34880685,35093747,35140802,35378807,35470545,35565002,35634407,35640122,35642784,35683137,35859251,35880948,36035291,36790202,37058403,37206064,37260986,37346673,37387047,37389890,37401371,37835248,37843811,37952268,38124218,38204682,38206163,38587571,38885082,39315260,39375143,39528923,39535751,39601523,39681507,39835516,40098132,40244586,41220107,41387591,41524625,41534042,41637980,41643276,41739827,41856822,41915445,41947211,42161162,42479925,42518291,42564654,42713531,42855671,43096396,43590243,43601363,44058347,44089562,44388083,44460325,44709808,44867868,44886243,45045890,45051266,45099587,45311920,45598787,45882371,46069943,46178787,46373378,46462235,46501383,46682951,46718152,46877351,46965002,47031962,47145927,47178312,47475323,47577155,47582440,47664887,48111123,48263651,48267191,48343847,48345242,48696971,48699827,48738587,49397927,49624130,49653681,49829550,49965576,50298534,50468104,50542451,50914460,50975910,51067187,51094082,51429623,51803402,52557921,52569563,52668385,52893146,53075601,53151520,53226003,53229980,53352390,53430530,53530245,54055068,54295802,54374304,54496083,54704411,54813063,54846491,54947162,55667207,55754682,55994378,56072903,56211273,56469890,56734583,56776617,56872811,56907880,56909216,57051683,57092586,57098928,57341127,57896776,58070267,58285587,58540922,59111525,59125130,59389418,59548956,59795460,59909186,60053927,60526427,60869771,61019330,61075523,61097352,61171092,61405226,61419747,61514951,61566280,62238085,63005267,63202062,63514750,63611882,63705347,63748876,63781824,63875976,63998711,64021365,64022868,64038971,64116636,64169186,64236294,64431304,65040311,65133873,65522018,65664107,65823866,66168362,66274307,66623747,66670826,66689930,66855155,67006803,67017962,67092860,67623267,67763868,67821890,67899676,67955147,68059787,68289456,68734521,68953130,69160647,69177602,69262065,69406343,70020071,70386663,70748186,70750346,70933830,70950156,71066282,71303907,71512811,71754552,71860473,72206711,72219207,72485217,72681863,73223196,73291403,73388003,73470890,73728193,73758707,73786922,73879536,73957468,74004860,74059163,74116091,74120145,74400707,74685702,74692322,74984908,75087482,75240443,75240550,75594316,75662752,76059635,76217700,76240604,76322378,76825638,76873991,76919411,77167178,77488264,77540325,77670183,77823707,77984711,78271527,78349091,78352130,78756923,78872007,79061488,79973927,80011516,80027916,80181578,80226186,80369427,80511432,80556791,80723871,80966883,81055043,81207563,81298880,81386268,81399467,81861447,81960035,82048667,82097351,82431746,82456743,82709680,82743756,83114478,83607527,83732387,83885786,84195722,84198971,84380147,84627635,84647042,84666885,85120596,85420263,85684151,85702538,86042183,86049386,86291925,86451323,86466908,86510042,86669843,86801387,86893923,87160307,87174297,88140923,88165068,88269011,88576811,88641971,88805832,88911550,88944174,89179466,89365223,89470588,89532903,90189866,90288660,90311344,90350762,90351004,90444386,90529096,90575361,90769271,91026227,91271562,91426730,91461240,91613987,92044720,92722403,92734563,92914730,93048390,93647627,93845486,94022556,94026743,94200698,94347203,94504787,94940762,95046803,95334663,95350216,95688602,95871671,96307904,96549002,96677738,97004522,97043464,97058343,97306835,97383938,97558656,97922087,98222908,98352042,98369027,98785706,98900243,99207436,99251616,99473291,99615002,99853643,99906561,...,73114670592767162609592955420450255476867154233909016656248472788832572085058371240073798644198408615787653294533939111408206902854233775406743468186137400756606419227643132057960902455912808445369123114579442296207808767944320468197730235298953436906938260032350427239813829519524651423894395289455385991930337092243540503930287599825844521346458415161252557651798525819561320063475742104189138928222353179667491633924287632556956395098637112256147529736806945210299765674011876520534385817826467140985757654182903307202515383466922874140049952349375606713656803744554778404914174042996607269698664432517312314508731540626800170939227239795352641371441774701033758631344731105444779204957931383375341509170816334698820689974016461862550047014169725144567619948767985893332049744488095761732155214847998702330464851729355440672765965396844751018422469993906202346770851676904154502329071954162618174350508431074743130469753665226393063476784910518026959317549465672598882327838401428427272725041542731221416468545866290404759731888619115491531246608259664427934170738369227006673130492150956949343230440054742359479345842096536089401523481867974006026192882369885008495650401778854439668564947353568688380773370584146537293833548126127187385370730246672432036924594323412289208785089092049735372957377136550306464556055807580236654008385934843294576718346509784301131633693391488066788051659242575737954286373235063051186397901875171437567645010422286022609583882975977420530625747012305408128836281789797256083610323329564247620333702447365970137027184746472942447204917512873846023318256343697147723409199616267469219519725494872164406563013146538137321802109768849150634958590809467594149734867802719086376482459069617617087763252199282726773431202530239490084930454214726336081918757086495022432341263086843505832602578591619720303815220518780329223101737947630472996347172167577462924124211447120776004981879004407309365098793508912671555450900233726196690116518451443795635163714653220546205701525298159863959280177162461265552858385652087684144973121900911673367263166757794672334617952818048929890071725350473627783246313718601662145980901347028869049592776801779451197925726210374849697919924221192838821226993726945997524580773200885036587724494816482891183757742847676117794857251206428289453545360384155934135778841231189915017680562473897488195856081435849527703407124808310028405988151636888104031483987689758632711371858489379997870626473134471840567820045216398446762611458611481073303868310313115488382606256660363936607450417566596178457711370426331951740648197860543956981472874663216014437667487500586700150420202208048503425196755745374690264279506959429884431342873497371280216518929221937890032493252390690274223691732228126918878636227533657988654481177296593302748902971466685738227088039692442081325616292403444898806347627830884106158178479443909156070239690826999809709596833200545205318346257220343139977827583540218309894493735863672611621009118139694251709529173187400810231608706279489398914678723159102456331727840681771793654074364403449444988683123256542281810697142803873155308}
19574  56733995825269053747123450556438726185344738791678077726797129178378032: {58713,508534,605833,743014,839833,860596,1133494,1211542,1306969,1329604,1423573,1601542,1889269,2005513,2053695,2190608,2266756,2444875,2464434,2469769,2769142,2932873,2933850,3048469,3129440,3235174,3467974,3520620,3740533,3755328,3812835,3933142,4010614,4067024,4224744,4242934,4516743,4575402,4659253,4752837,5093542,5377075,5402374,5781176,5788054,5865142,5914969,6452490,6482869,6503823,6706679,6742335,6882656,7019542,7048969,7191824,7403542,7480294,7710454,7742988,7865476,8090802,8288053,8330164,8794564,9241174,9295369,9438303,9519416,9580970,9963673,10156534,10452536,10461142,10649284,10709343,10917574,10963623,11236075,11402773,11497164,11574916,11759103,12056134,12252207,12317048,12501493,12955683,12961204,12996095,13483290,13568614,13687100,13794934,13856679,13883956,14382176,14785369,14805556,14924374,15109496,15265924,15595314,15675334,16179948,16279319,16424520,16499542,16504153,16513835,16574374,16998183,17263695,17462869,17519488,18192671,18270835,18414608,18415753,18477585,18565850,18691167,18737542,18942613,19034854,19152853,19183414,19396276,19467673,19553000,19562543,19709424,19752056,19816602,19851142,20199733,20591542,20616469,20716434,20720473,20767876,21191135,21404134,21605048,21680836,21699142,21925002,21997125,22173102,22221063,22279020,22509094,22729654,22909863,23117003,23243734,23256170,23455736,23463600,23764288,23958196,24112213,24256335,24305679,24708214,24927334,25000342,25027840,25429362,25438054,25873424,25989530,26001795,26009071,26229769,26329813,26387703,26396550,26734824,27586996,27617974,27623833,27735248,27753551,27907404,27946490,28072376,28156320,28327395,28709269,28919014,29107602,29785993,29845636,30033408,30070335,30076677,30215888,30272533,30273050,30757273,30860854,31075894,31143769,31187436,31202154,31581423,31675860,31721353,31812195,31934614,32075024,32148934,32555306,32933542,32963893,32995636,33024290,33058969,33105842,33223100,33535788,33787584,33933008,33992874,34000342,34117743,34341316,34382473,35038933,35253455,36084402,36327660,36433753,37127900,37171033,37354633,37471156,37811014,37968447,38011032,38174634,38231542,38301574,38749504,38861254,38931142,39121082,39445333,39559414,39629148,39647930,39867720,39926595,40325542,40505295,40788313,40878383,40966153,41281023,41634635,41644294,41762869,42202969,42304146,42360964,42525568,42588368,42762411,42990613,43095142,43205648,43246276,43396995,43593192,43719879,43852294,44031733,44127142,44159591,44553480,44805769,44851185,45147913,45155542,45662727,45998233,46112134,46290128,46507580,46758279,46929574,47294060,47427253,47440335,47523712,47577516,47609014,47841264,47911914,48151414,48219142,48588469,48606354,49042341,49144075,49327513,49411204,49570342,49735573,49794395,49795564,49849396,49961562,49974454,50122665,50243542,50603024,50659679,50939576,51349813,51652054,51846776,51852694,51907993,52047475,52054095,52076394,52186774,52587142,52653814,52711203,52908676,53065727,53347503,53460183,53464176,53651974,53659448,53717173,53794969,53821422,53870495,54260233,54580342,54876553,54977254,55185303,55241542,55412053,55524368,55792393,55809096,55887260,55891479,56084835,56112563,56164534,56377391,56397193,56472469,56639900,56752872,56772853,56928402,56953174,57186327,57295753,57307023,57543142,57935734,57962869,58120324,58327623,58397690,58404373,58697269,58972890,59478050,59565334,59753274,59760214,59823824,59848324,60147198,60366879,60501769,61055734,61210969,61443142,61492633,61571716,61829974,61912969,62001844,62301063,62456970,62464914,62785233,62861236,62904416,63085130,63241743,63435574,63627574,63643075,63846981,64148164,64330342,64581973,64644594,64712854,65049433,65248693,65645269,66134343,66204908,66300469,66439400,66537475,66620768,66806374,67064712,67301802,67563334,67568835,67576899,67652953,67802231,67967880,67970293,68474293,68694454,68786953,69178802,69406873,69445654,69560067,70069894,70077228,70141273,70256854,70381414,70447503,70547943,70767468,70968004,71134850,71136520,71373660,71519893,71933014,72073424,72242134,72370970,72499072,72517863,72661444,72797542,72859174,72975193,73043974,73084084,73089673,73939093,74272294,74339576,74436195,74440969,74639542,74744325,74948364,74991769,75006214,75046453,75447801,75481333,75702156,75798694,75858073,76123448,76131904,76371690,76454836,76463865,76641123,76810633,76830934,76957850,77073142,77432713,77617174,77705103,77714116,77943193,77979142,78596053,78641254,78695413,78881542,79022426,79089973,79212959,79339719,79398608,79431433,79686095,79727280,79844970,80028585,80145795,80293273,80437174,80528533,80539130,80675542,81082602,81443703,81463136,81496969,81561456,81722869,81863542,81892996,81922774,82100374,82420743,82433653,82651993,83253769,83431439,83465269,83632023,83866075,83991567,84269416,84293269,84495769,84571654,84704835,84855733,84874595,84913031,85042432,85167968,85361820,85363824,85442713,85488848,85638879,85648392,85672969,86261542,86458453,86493574,86609494,86821333,86841142,86845164,87282313,87649894,87799093,87811383,87967753,87995542,88001269,88053094,88167769,88332469,88512934,88687695,89084127,89323434,89342404,89585269,89693190,89704213,89763253,89803538,89863779,90139993,90164356,90168469,90285142,90351824,90449269,90626374,90722869,90796774,90910294,91015513,91052608,91093813,91375369,91528995,91599253,91646028,91648213,91756638,91929094,92107839,92121973,92214196,92267542,92349420,92446835,92492854,92506075,92507639,93238153,93333013,93462793,93535369,93624469,93731135,93797269,93848884,93979033,94027093,94053323,94197769,94330933,94492895,94578440,94600208,94618969,94631893,94682869,94803093,94817113,94852213,94931593,94959722,94975369,95038873,95071876,95121094,95176969,95231833,95272125,95300755,95417823,95487253,95623314,95633269,95660053,95672736,95680393,95750773,95764633,95785369,95813964,96034302,96118294,96174954,96253779,96292276,96354441,96646956,96860330,97630928,97768774,98151814,98199479,98283027,98506048,98588614,98735799,98826860,99252543,99404854,99580936,99730342,99817319,99947014,...,109672005889150743914389433130675383215300731350863524984372709183248858127587556860110697966297612923681479941800908667112310354281350663110115202279206101134909628841464698086941353683869212668053684671869163444311713151916480702296595352948430155360407390048525640859720744279286977135841592934183078987895505638365310755895431399738766782019687622741878836477697788729341980095213613156283708392333529769501237450886431448835434592647955668384221294605210417815449648511017814780801578726739700711478636481274354960803773075200384311210074928524063410070485205616832167607371261064494910904547996648775968471763097310940200256408840859693028962057162662051550637947017096658167168807436897075063012263756224502048231034961024692793825070521254587716851429923151978839998074616732143642598232822271998053495697277594033161009148948095267126527633704990859303520156277515356231753493607931243927261525762646612114695704630497839589595215177365777040438976324198508898323491757602142640909087562314096832124702818799435607139597832928673237296869912389496641901256107553840510009695738226435424014845660082113539219018763144804134102285222801961009039289323554827512743475602668281659502847421030353032571160055876219805940750322189190781078056095370008648055386891485118433813177633638074603059436065704825459696834083711370354981012578902264941865077519764676451697450540087232100182077488863863606931429559852594576779596852812757156351467515633429033914375824463966130795938620518458112193254422684695884125415484994346371430500553671048955205540777119709413670807376269310769034977384515545721585113799424401203829279588242308246609844519719807205982703164653273725952437886214201391224602301704078629564723688604426425631644878298924090160146803795359235127395681322089504122878135629742533648511894630265258748903867887429580455722830778170493834652606921445709494520758251366194386186317170681164007472818506610964047648190263369007333176350350589295035174777677165693452745571979830819308552287947239795938920265743691898329287578478131526217459682851367510050894750136692008501926929227073394835107588025710441674869470577902493218971352020543303574389165202669176796888589315562274546879886331789258231840490590418996286871159801327554881586742224724336775636614271514176692285876809642434180318040576233901203668261846784872526520843710846232293784122153774291555110687212465042608982227455332156047225981534637949067057787734069996805939709701707760851730067824597670143917187917221609955802465469673232573909384990545904911175626349894267686567055639497927610972296790815935472209311994824021656501231250880050225630303312072755137795133618062035396419260439144826647014310246056920324778393832906835048739878586035411335537598342190378317954341300486982981721765944889954123354457200028607340632059538663121988424438605167348209521441746326159237267719165863734105359536240499714564395249800817807977519385830514709966741375310327464841740603795508917431513677209541377564293759781101215347413059419234098372018084738653684497591761022657690481111546605174167483024684884813422716045714205809732962}
19575  56956407638683590928471136464697801912602908672157791678493398027986578: {78284,762801,1075745,1114521,1290894,1662005,1700241,1817313,1916782,1994406,2365913,2402313,2738260,2833445,3285912,3400134,3558646,3696651,3911800,4153713,4400775,4694160,4827121,4852761,4943873,5007104,5058529,5083780,5201961,5280930,5632992,5647349,5899713,6015921,6022324,6100536,6292846,6337116,6364401,6863103,7226470,7640313,7870993,8103561,8168974,8329489,8603320,8638006,8671764,8682081,8797713,8989780,9145969,9653254,9678735,9831845,10323984,10412705,10529313,10777417,10787736,10993205,11105313,11220441,11565681,11614482,11798214,11899270,12136203,12495246,12584404,13065670,13191846,13220809,13311605,13320142,13861761,14279124,14371455,14468645,14618164,14726374,15234801,15329552,15396310,15464293,15678804,15691713,15973926,16112782,16201505,16336276,16376361,17070094,17108875,17245746,17274244,17283049,17354945,17362374,17977720,18084201,18475572,18495061,18506945,18886870,18904417,19082405,19441806,20009041,20224935,20352921,20523769,20530650,20692401,20793752,20825934,21573264,21623393,21899360,22208334,22374529,22386561,22639246,22664244,22898886,22900889,23018260,23392971,23513001,24245345,24268342,24269922,24441250,24563329,24636780,24690070,24749313,24809497,24861561,24921556,25959845,25994833,26170342,26279232,26422136,26438902,26696869,26880646,27006310,27022921,27101045,27621912,27848775,28002953,28065646,28106313,28552281,28775121,29094414,29233336,29234977,29276489,29319670,29329500,29456597,29564136,29628084,29691382,29705360,29724903,29776713,29914534,29947745,30546484,30887313,31074651,31151814,31284800,31299334,32106201,32341780,32407572,32521254,32548713,32887503,33259653,33407669,33418530,33763641,33861454,33905816,34094481,34483745,34669060,34839502,34865601,34884255,35090470,35097361,35183604,35195400,35646432,35937294,35976694,36035161,36842353,36901073,37062321,37166321,37209872,37264822,37307045,37391001,37500513,37541760,37769860,37804942,38144043,38157081,38584846,38810136,38984295,39275014,39594825,39840761,40044544,40093780,40102236,40274737,40453729,40503862,40702673,41244545,41380494,41426961,41528875,41583248,41602872,41861106,41862022,41919735,42031366,42108564,42234480,42416260,42926645,43263929,43378521,43661403,43959589,44062873,44277646,44395942,44572129,44714384,44768454,45050112,45055894,45231509,45323832,45365929,45409575,45490324,45603493,46291281,46409875,46613841,46781154,46803231,46838945,46847441,46882177,46952017,47513790,47901921,48112536,48223401,48268609,48356806,48436880,48583822,48635494,48832959,49085686,49400313,49493454,49536435,49571542,49658763,49834650,50218517,50303682,50624596,50681376,50899512,50989311,51000513,51072433,51280297,51511974,52105846,52315222,52345846,52565134,52838864,52951205,53156960,53235460,53987537,54007060,54057845,54126603,54491490,54686134,54688421,55041364,55051049,55691850,55837793,56206734,56405528,56656793,56716521,57016548,57135286,57261951,57347313,57452361,57554341,57862660,58124256,58134475,58291881,58293172,58396713,58477129,58515473,58681623,58970297,59117575,59339121,59395534,59404640,59443722,59471895,59801580,60046606,60488313,60860801,60883636,61411534,61764005,62075113,62244455,62311745,62344372,62466441,63064246,63253780,63436688,63456219,63541446,63674470,63681941,63788352,63882552,64040854,64167766,64642713,64808470,64808472,64869414,64928009,65047129,65389788,65403766,65778441,66135845,66175174,66190713,66494081,66608017,66615416,66830220,67074310,67729817,67733313,67782742,68718214,68930854,69168201,69184726,69405460,69435192,69473782,69761370,69773749,69859075,70187494,70281604,70394361,70757614,70799875,70941090,71130004,71268814,71280244,71285568,71366274,71413521,71718502,71761896,71867871,72070582,72227121,72328713,72650405,72909531,73580404,73735739,74116806,74355513,74412128,74521972,74596313,74693346,74774094,74779780,74802742,74810405,74942343,74961681,75365313,75670496,75687622,75904536,76248436,76409364,76412326,76444729,76964645,77109041,77175142,77478081,77502305,77770164,77779041,78114591,78280161,78324181,78357157,78493097,78576545,78630520,78750286,78880713,78980721,79057846,79071502,79203046,79363014,79479889,79671032,79758641,80185205,80196264,80472053,80477961,80489172,80732133,80809553,81870513,81913921,82440214,82465881,82750993,82756135,82775182,82862313,83049250,83068084,83275960,83286552,83479654,83713644,83830890,83894422,84246801,84322324,84326069,84527993,84959850,85036582,85129308,85226249,85392603,85427062,85429761,85711342,86051041,86192792,86314713,86570773,86903601,87133319,87169381,87180486,87202726,87270649,87596535,88116694,88179124,88208597,88459335,88710005,88776166,88920650,89217075,89348001,89419616,89629911,89640321,89735736,89772486,89977493,90091780,90102532,90199174,90220797,90623840,90826805,91035601,91197574,91355105,91583601,91665461,91764742,92139886,92164713,92219969,92357574,92744961,92746756,92924470,93002766,93176633,93365902,93436304,93597217,93685455,93697371,93754702,93852497,93930004,94063924,94291854,94356529,94356624,94514641,94627695,94950646,95153361,95154310,95163401,95164880,95329774,95441361,95568545,96222246,96495513,96527302,96534382,96687694,96690484,96966891,97069281,97142645,97194341,97393942,97399654,97477174,97668209,97932193,97961753,98795854,99248260,99307362,99659100,99931152,...,164508008833726115871584149696013074822951097026295287476559063774873287191381335290166046949446419385522219912701363000668465531422025994665172803418809151702364443262197047130412030525803819002080527007803745166467569727874721053444893029422645233040611085072788461289581116418930465703762389401274618481843258457547966133843147099608150173029531434112818254716546683094012970142820419734425562588500294654251856176329647173253151888971933502576331941907815626723174472766526722171202368090109551067217954721911532441205659612800576466815112392786095115105727808425248251411056891596742366356821994973163952707644645966410300384613261289539543443085743993077325956920525644987250753211155345612594518395634336753072346552441537039190737605781881881575277144884727968259997111925098215463897349233407997080243545916391049741513723422142900689791450557486288955280234416273034347630240411896865890892288643969918172043556945746759384392822766048665560658464486297763347485237636403213961363631343471145248187054228199153410709396749393009855945304868584244962851884161330760765014543607339653136022268490123170308828528144717206201153427834202941513558933985332241269115213404002422489254271131545529548856740083814329708911125483283786171617084143055012972083080337227677650719766450457111904589154098557238189545251125567055532471518868353397412797616279647014677546175810130848150273116233295795410397144339778891865169395279219135734527201273450143550871563736695949196193907930777687168289881634027043826188123227491519557145750830506573432808311165679564120506211064403966153552466076773318582377670699136601805743919382363462369914766779579710808974054746979910588928656829321302086836903452556117944347085532906639638447467317448386135240220205693038852691093521983134256184317203444613800472767841945397888123355801831144370683584246167255740751978910382168564241781137377049291579279475756021746011209227759916446071472285395053510999764525525883942552762166515748540179118357969746228962828431920859693908380398615537847493931367717197289326189524277051265076342125205038012752890393840610092252661382038565662512304205866853739828457028030814955361583747804003765195332883973343411820319829497683887347760735885628494430306739701991332322380113337086505163454921407271265038428815214463651270477060864350851805502392770177308789781265566269348440676183230661437332666030818697563913473341182998234070838972301956923600586681601104995208909564552561641277595101736896505215875781875832414933703698204509848860864077485818857366763439524841401529850583459246891416458445186223903208313967992236032484751846876320075338445454968109132706692700427093053094628890658717239970521465369085380487167590749360252573109817879053117003306397513285567476931511950730474472582648917334931185031685800042911010948089307994682982636657907751022314282162619489238855901578748795601158039304360749571846592874701226711966279078745772064950112062965491197262610905693263376147270515814312066346440639671651823021119589128851147558027127107980526746387641533986535721667319907761251224537027327220134074068571308714599443}
19576  57179685171048092955459785893752605697063316578756624124617835319948398: {97855,117426,332503,449719,1017068,1211666,1486028,1679666,1721192,1936341,2083183,2199319,2266988,2423084,2613938,2659208,2847146,2875173,2894623,2991609,3203084,3356719,3422825,3778538,3817663,4011026,4107390,4381216,4533512,4889750,4928868,4939538,4964983,5100201,5337969,5538284,5865746,5867700,6096938,6105103,6258880,6354725,6470348,6935948,7041240,7481066,7510656,7527905,7625670,7866284,7921395,8021228,8026783,8134048,8449488,8485868,9033486,9150804,9318506,9439269,9505674,9593719,10187084,10704319,10754150,10804748,10839705,11237225,11562352,11576108,11697703,11730284,11829938,12253461,12466303,12794623,12904980,12957009,12965738,13007646,13413358,13484670,13765312,14039084,14097938,14383648,14479881,14534719,14807084,14960588,15420908,15485976,15505423,15730505,15730952,16042183,16149319,16181604,16576106,16660328,17421723,17589128,17697321,17848905,18194533,18272705,18276919,18482348,18590738,18742869,18876606,19038832,19161940,19598505,19787769,19927346,19980213,20313068,20420345,20905072,20922284,21298568,21414319,21418686,21592805,21835148,21927246,22089561,22445719,22472150,22805546,22994328,23094465,23119369,23149832,23518206,23571943,23877583,23960889,24080983,24112268,24169173,24504414,24634096,25002986,25579169,25605141,25868619,25898623,25911366,25922408,25992190,25998919,26011733,26043561,26898343,26966580,27097423,27137228,27374200,27589868,27713358,27767912,28330305,28764352,28772825,29072383,29162709,29366143,29570738,29611112,29667589,29848748,29854303,30218992,30531848,30737993,30795975,31151945,31190628,31238901,31350668,31788943,32359896,32558638,32745463,32849040,32999084,33008306,33027670,33148748,33312501,33694783,33958869,33996366,34348329,34355023,34527390,34824463,34925738,35038976,35105263,35198719,36385342,36402513,36404883,36499543,36541670,36661875,36684223,36829216,36831506,36955170,37035105,37131700,37382334,37475084,37885226,38069708,38183105,38305706,38366828,38792552,38877919,38935346,39106000,39125086,39255513,39418848,39504112,39633204,39658353,39702284,40320969,40399466,40427225,40509465,41118919,41183084,41232938,41432868,41440946,41473303,41535752,42090703,42098469,42354223,42382270,42808268,43210096,43314919,43336325,43361672,43398284,43401823,43641621,43850004,43979505,43994250,44346204,44442126,44537073,44558040,44610919,44871801,45018188,45380743,45459308,45465919,45819726,46234006,46313719,46487468,46512340,46727721,46818943,46911472,46927200,46949001,47212325,47528576,47916392,48224426,48401719,48512670,48611358,48731623,48781881,49142383,49306183,49354837,49416428,49854668,50000684,50039719,50055680,50117225,50127795,50792181,50847919,50858724,50876108,50928343,51746848,51979060,52003590,52018142,52259253,52459538,52635705,52659626,52775406,52793100,53020325,53150983,53469648,53905941,53965041,54008719,54318463,54354773,54472903,54857743,55173992,55235948,55247666,55470496,55507102,55622023,55814808,55892980,55897233,56144752,56312640,56654790,56707413,56862905,57418538,57723703,57838028,57877269,58215204,58288489,58912521,59552503,59571986,59691272,59696863,59984719,60066816,60140670,60153354,60431776,60545066,60546100,60755793,61477063,61514546,61687663,61721708,62070741,62089049,62151788,62287538,62374872,62384983,62404308,62714041,62791659,62793033,62868823,63047049,63162846,63212263,63280745,63351720,63442706,63624390,63825919,63869228,64150048,64297868,64768903,65110612,65565943,65867084,65927786,65991272,66048580,66117938,66211684,66222223,66416469,66446200,66544325,66593913,67071576,67152681,67508825,67575168,67583841,67767919,67866016,67985748,68000684,68084719,68235486,68682632,68764946,68801705,69272143,69703063,69712153,70077866,70171731,70251919,70506910,70854919,71094103,71270685,71687023,72097783,72168804,72272743,72328325,72330919,72535209,72655320,72866465,72867506,72875733,72953241,73251943,73628529,73705543,74240181,74255800,74321719,74342066,74357313,74654143,74709266,74751975,74942312,75418693,75419719,75455523,75622028,75936894,75957919,76022064,76104545,76349268,76463084,76541623,76603148,76699303,77267961,77499008,77580583,77722508,77862284,77930465,78158769,78242164,78472833,78518769,78838783,78847701,78890666,79035919,79067225,79118828,79231903,79258296,79295860,79735440,79853190,80004319,80430703,80524663,80651084,80665063,80897623,81010590,81576626,81737235,81756766,81854719,81932306,82029201,82122343,82299319,82562046,83269270,83288588,83379319,83525738,83537775,83757103,84046903,84251743,84310101,84405938,84608292,84656023,84721928,84815719,85051136,85176736,85442983,85524822,85702929,85976719,85981226,86014303,86190284,86411296,86492552,86756825,86793990,87072919,87186384,87249319,87439758,87562303,87704588,87852005,88063466,88254284,88319182,88466263,88595719,88912505,89093301,89100305,89106960,89165583,89256463,89348263,89378719,89611538,89649583,89702370,89856223,90069909,90258919,90295826,90311084,90371383,90969343,91048183,91203919,91229623,91325454,91331719,91824919,91975505,91996466,92117301,92153023,92224268,92311783,92580256,92911543,92931919,93015160,93152465,93474725,93516558,93581863,93774319,93859148,94328719,94386463,94457023,94588120,94596369,94605919,94854506,94880670,94900543,94956703,95047424,95124319,95134183,95155032,95218028,95310545,95312169,95503543,95511705,95588719,95664319,95681743,95682528,95705719,95720263,95742943,95795143,95800183,95802919,95823828,96061281,96251649,96302828,96438284,97176938,97212705,97212708,97304121,98084682,98105649,98288150,98655026,98822408,99140684,99262761,99471146,99588790,99591128,99698792,99923124,99948908,...,219344011778301487828778866261350766430601462701727049968745418366497716255175113720221395932595225847362959883601817334224620708562701326220230404558412202269819257682929396173882707367738425336107369343738326888623426303832961404593190705896860310720814780097051281719441488558573954271683185868366157975791011276730621511790862799477533564039375245483757672955395577458683960190427226312567416784667059539002474901772862897670869185295911336768442589210420835630899297022035629561603157453479401422957272962548709921607546150400768622420149857048126820140970411233664335214742522128989821809095993297551936943526194621880400512817681719386057924114325324103101275894034193316334337614873794150126024527512449004096462069922049385587650141042509175433702859846303957679996149233464287285196465644543996106991394555188066322018297896190534253055267409981718607040312555030712463506987215862487854523051525293224229391409260995679179190430354731554080877952648397017796646983515204285281818175124628193664249405637598871214279195665857346474593739824778993283802512215107681020019391476452870848029691320164227078438037526289608268204570445603922018078578647109655025486951205336563319005694842060706065142320111752439611881500644378381562156112190740017296110773782970236867626355267276149206118872131409650919393668167422740709962025157804529883730155039529352903394901080174464200364154977727727213862859119705189153559193705625514312702935031266858067828751648927932261591877241036916224386508845369391768250830969988692742861001107342097910411081554239418827341614752538621538069954769031091443170227598848802407658559176484616493219689039439614411965406329306547451904875772428402782449204603408157259129447377208852851263289756597848180320293607590718470254791362644179008245756271259485067297023789260530517497807735774859160911445661556340987669305213842891418989041516502732388772372634341362328014945637013221928095296380526738014666352700701178590070349555354331386905491143959661638617104575894479591877840531487383796658575156956263052434919365702735020101789500273384017003853858454146789670215176051420883349738941155804986437942704041086607148778330405338353593777178631124549093759772663578516463680981180837992573742319602655109763173484449448673551273228543028353384571753619284868360636081152467802407336523693569745053041687421692464587568244307548583110221374424930085217964454910664312094451963069275898134115575468139993611879419403415521703460135649195340287834375834443219911604930939346465147818769981091809822351252699788535373134111278995855221944593581631870944418623989648043313002462501760100451260606624145510275590267236124070792838520878289653294028620492113840649556787665813670097479757172070822671075196684380756635908682600973965963443531889779908246708914400057214681264119077326243976848877210334696419042883492652318474535438331727468210719072480999429128790499601635615955038771661029419933482750620654929683481207591017834863027354419082755128587519562202430694826118838468196744036169477307368995183522045315380962223093210348334966049369769626845432091428411619465924}
19577  57403831768143784627946715485001807634166424366993872272123180346125243: {19577,156568,176139,1271335,1506043,1525602,1817499,1857535,2151490,2229042,2326807,2519499,2581788,2796079,2833735,3028855,3324010,3400482,3634626,3833564,3920907,3966823,3988812,4003855,4270719,4731826,4804626,4944379,5476520,5647927,5666890,5667807,5842759,6016539,6161085,6311743,6571824,6800268,6922855,7117292,7334625,7393302,7409307,7823600,8087935,8307426,8669935,8798619,8801550,9145407,9388320,9628783,9654242,9705522,9832855,9887746,10014208,10026535,10117058,10167560,10331899,10403922,10561860,10607335,11221599,11265984,11294698,11438505,11799426,12031842,12044648,12201072,12585692,12660043,12674232,12728802,12733855,13505935,13550229,13726206,13764583,13977759,14258511,14452940,14470135,14577787,14662855,15280626,15390487,15741986,16131225,16207122,16337948,16658978,17206640,17276012,17343528,17364162,17548855,17575807,17595426,17744907,17787979,17979560,18291938,18508855,18636247,18700735,19067983,19276135,19306508,19357470,19448607,19511469,19559503,19663690,20120037,20227005,20256103,20647968,20773423,20825410,21058626,21087067,21146907,21554834,21575472,21986410,22051579,22210626,22440882,22682107,23102935,23131362,23193823,23228964,23328943,23523223,23596428,23771719,23798540,23952425,24272406,24296923,24864159,24990492,25168808,25391335,25554919,25909723,26131340,26152855,26383692,26441618,26579863,26623210,26640284,26715367,27064687,27293935,27482047,27723522,27886107,28314909,28558248,28742910,28937290,29236328,29279503,29452748,29459623,29703883,29891019,30140335,30469602,30659104,30792620,30928586,31357608,31383426,31815739,31824463,31947852,32094487,32128029,32225564,32403010,32672552,32752722,32890869,32922079,33094399,33345679,33708225,33921535,33943483,34069207,34140188,34208319,34217750,34487335,34491492,34548488,34566098,34599487,34709890,34724748,34789579,35277309,35955440,36168402,36343783,36756621,36951144,36990122,37013890,37170139,37310935,37337983,37357687,37504479,37555303,37773740,37808834,37941463,38164810,38173003,38867049,38883612,38988285,39188335,40018082,40103143,40449870,40705842,41047538,41061300,41128879,41248855,41384802,41435935,41570037,41587504,41651868,41926843,41955847,42336559,43037947,43146528,43246786,43268383,43408567,43610359,43798720,44356107,44416668,44603479,44749058,44773122,45236167,45278492,45328488,45797772,45801778,45891823,46036520,46414625,46785942,46843855,47026002,47114863,47587135,47859067,47958535,48103159,48277243,48353803,48490690,48517207,48536684,48539844,48837957,48882500,49126658,49273560,49380140,49498626,49512459,49541505,49550479,49618994,49627855,49723122,49843112,50078299,50527159,50552863,50994549,51145063,51478855,51786607,51791085,51919690,51989666,52229863,52340684,52388607,52558464,52844272,52877804,53393738,53481343,53510335,53681863,53761292,53993083,54012620,54045842,54202090,54247855,54578013,54586543,54694039,54812505,55243824,55247259,55432755,55697550,55817623,56005906,56073501,56131292,56212626,56272735,56746267,56824135,56827839,56960263,57017167,57104562,57458559,57550242,57742363,58109335,58140425,58188828,58252759,58403019,58466672,58469954,58521499,58552978,58639340,58659000,58687629,58773583,58913194,58976383,59128272,59256168,59382764,59410720,59420539,59449806,59553426,59629183,59752447,59829068,59895490,60097303,60325423,60599199,61092968,61182967,61288987,61527643,61770535,61774626,61849407,62116879,62149302,62161419,62303628,62318335,62500855,62569600,62598668,62923879,63021223,63573405,63595135,64212402,64683560,64815144,64973825,65037643,65042508,65097426,65574523,65775006,65907979,65990119,65991375,66519306,66663189,66756967,66815338,66837060,67121263,67386619,67527282,67722908,67811632,68073799,68188962,68729589,68967490,69044935,69091807,69338120,69351009,69679004,69731202,69768510,69866225,70025743,70180940,70194722,70367208,70390800,70962103,71292864,71527543,71874588,71953388,72070322,72297535,72336639,72696859,72769005,72917037,73358923,73684706,73765183,73802146,74124642,74131687,74332642,74419744,74465467,74529644,74604079,74606047,74614090,74782002,75001026,75083520,75539720,75609884,75680983,75682625,75848443,75862747,76288086,76314162,76935247,77116999,77152135,77169692,77620272,77689735,77968590,78005385,78027213,78550028,78689307,78989439,79149943,79163109,79189650,79681522,79836535,80089088,80187560,80204472,80372335,80549474,80649799,80817979,80907458,81007724,81224287,81321703,81388265,81405346,81463483,82065559,82333855,82391503,82489090,82560725,82760988,82764605,82853922,82871499,83057750,83166496,83205744,83260653,83722212,83724044,83839470,84062732,84217128,84397519,84468960,84832520,84982185,85000855,85235023,85520959,85853290,86127807,86187343,86469607,86527858,86757042,86819263,87142237,87236443,87322806,87727579,87919178,88125746,88159279,88287223,88555292,88595047,88791884,88864423,89144258,89357979,89383627,89428768,89536908,89986759,90100224,90111788,90211005,90230031,90463018,90647664,90731858,90817599,90819150,90980648,91206986,92229463,92271819,92582562,92590183,92819750,93227682,93431307,93562308,93606462,93677890,93694882,93764354,93862183,93904034,94046107,94246783,94366639,94527535,94744269,95027580,95164059,95436585,95502199,95578855,95753935,95803842,95968927,96225072,96446802,96537218,96713612,96873760,97153135,97167644,97270988,97327855,97665918,97678267,97802705,98171372,98353807,98389279,98586079,98800626,98891679,98898535,98986908,99072870,99119825,99143084,99176907,99317526,99493783,99669300,99874207,99896719,...,329016017667452231743168299392026149645902194052590574953118127549746574382762670580332093898892838771044439825402726001336931062844051989330345606837618303404728886524394094260824061051607638004161054015607490332935139455749442106889786058845290466081222170145576922579162232837860931407524778802549236963686516915095932267686294199216300346059062868225636509433093366188025940285640839468851125177000589308503712352659294346506303777943867005152663883815631253446348945533053444342404736180219102134435909443823064882411319225601152933630224785572190230211455616850496502822113783193484732713643989946327905415289291932820600769226522579079086886171487986154651913841051289974501506422310691225189036791268673506144693104883074078381475211563763763150554289769455936519994223850196430927794698466815994160487091832782099483027446844285801379582901114972577910560468832546068695260480823793731781784577287939836344087113891493518768785645532097331121316928972595526694970475272806427922727262686942290496374108456398306821418793498786019711890609737168489925703768322661521530029087214679306272044536980246340617657056289434412402306855668405883027117867970664482538230426808004844978508542263091059097713480167628659417822250966567572343234168286110025944166160674455355301439532900914223809178308197114476379090502251134111064943037736706794825595232559294029355092351620261696300546232466591590820794288679557783730338790558438271469054402546900287101743127473391898392387815861555374336579763268054087652376246454983039114291501661013146865616622331359128241012422128807932307104932153546637164755341398273203611487838764726924739829533559159421617948109493959821177857313658642604173673806905112235888694171065813279276894934634896772270480440411386077705382187043966268512368634406889227600945535683890795776246711603662288741367168492334511481503957820764337128483562274754098583158558951512043492022418455519832892142944570790107021999529051051767885105524333031497080358236715939492457925656863841719387816760797231075694987862735434394578652379048554102530152684250410076025505780787681220184505322764077131325024608411733707479656914056061629910723167495608007530390665767946686823640639658995367774695521471771256988860613479403982664644760226674173010326909842814542530076857630428927302540954121728701703611004785540354617579562531132538696881352366461322874665332061637395127826946682365996468141677944603913847201173363202209990417819129105123282555190203473793010431751563751664829867407396409019697721728154971637714733526879049682803059701166918493782832916890372447806416627935984472064969503693752640150676890909936218265413385400854186106189257781317434479941042930738170760974335181498720505146219635758106234006612795026571134953863023901460948945165297834669862370063371600085822021896178615989365965273315815502044628564325238978477711803157497591202316078608721499143693185749402453423932558157491544129900224125930982394525221811386526752294541031628624132692881279343303646042239178257702295116054254215961053492775283067973071443334639815522502449074054654440268148137142617429198886}
19578  57628850788590464386516432632557815475945137369244175158019170494912306: {136997,195710,234852,371621,665006,723017,899438,917957,1384997,1734521,1967177,2034136,2083397,2122121,2288403,2423332,2547557,2663417,2894921,2933477,2972056,3049097,3227235,3343563,3359332,3442384,3702917,3818057,3856421,3872682,4166366,4398638,4533976,4791955,4846168,4986015,5100723,5194121,5227876,5318416,5346377,5451939,5694292,5750346,5789246,5983218,5992037,6406168,6673157,6713438,6845650,6899621,7050437,7097739,7206939,7557076,7614857,7635326,8022052,8065097,8214780,8402021,8500335,8738297,8762432,8896615,9067024,9371717,9520421,9706121,9779500,9857736,9879076,9929966,10200402,10299017,10409957,10539067,10675938,10816121,10963577,11076568,11089953,11368421,11731492,11735400,11735621,11955557,12193876,12210206,12461139,12467621,12504137,12517760,12709450,12940696,13202325,13378121,13559621,13871896,13922021,14082480,14481363,14558283,14831619,14962132,15021312,15055810,15175587,15251340,15399497,15542921,15605883,15732115,15732568,15842790,16042456,16053566,16079621,16268096,16400777,16578917,16898976,16934597,16942047,16971736,17537417,17699139,18047763,18066175,18066972,18301608,18419717,18637012,18878538,19011348,19093203,19187438,19262021,19646537,20273657,20374168,20422435,20589309,20620937,21209477,21408638,21508300,21595015,21609496,21679410,21726857,22022707,22474450,22687817,22892921,22920939,23124704,23152216,23370377,23395406,23460568,23574521,23608517,23612979,23659876,24117497,24133135,24219077,24310683,24506922,24793337,24894437,24932606,24988467,25581787,25589246,25600121,25809960,25914018,25931476,25934921,26015292,26046243,26235557,26302277,26393139,26435621,26801657,26826716,26934521,26969340,27437907,27530624,27629957,28078168,28195876,28588483,28715657,28767296,28781177,28879397,28959762,29036205,29069438,29075621,29108297,29495535,29614168,29695097,29748175,29857637,29890121,29921176,30229927,30344057,30741139,30841816,30971952,31010846,31054217,31238115,31461010,31461904,31587939,31792517,31824521,32084366,32298638,32332251,32363208,32494757,32664175,32979615,33129797,33152212,33300355,33315939,33320656,33661323,34390277,34697043,34828421,34843446,35109257,35140421,35178256,35394642,35575877,35697810,35762021,36226121,36326719,36389066,36408609,36411257,36503717,36534521,36545410,36553838,36815935,36872837,36964696,37148921,37181476,37485738,37638137,37753212,38077664,38323880,38490775,38791817,39003077,39197010,39544517,39575538,39662427,39854692,39934815,39960426,40281955,40322021,40441157,40626136,40797797,40840690,41064521,41389637,41585283,41810144,41831417,41844568,42597136,42675235,42828638,42837372,43114365,43145957,43185610,43405935,43406921,43435877,43522697,43612723,43670296,43854492,44013317,44179122,44816357,44891438,44944300,44959097,45243977,45414521,45556421,45611092,45669797,45704403,45988656,46188930,46238738,46262921,46299664,46392879,46516037,46852517,47036412,47075139,47143886,47217175,47243621,47494217,47755166,47921778,48076421,48161966,48186917,48224536,48338346,48600137,48604515,48737477,49008828,49129083,49268192,49339397,49883237,50005972,50396921,51158338,51210282,51326625,51737238,51797246,51822732,51844816,51849147,51973637,51984380,51997838,52023466,52064835,52087122,52528121,52633337,52790921,53183621,53456347,53796686,53933160,54092921,54194846,54252603,54274456,54325157,54505337,54748400,54864521,54890117,55179736,55426716,55485183,55520835,55535824,55856837,56159717,56411237,56486537,56598115,56660610,56713251,57160997,57247215,57528704,57545650,57607397,58144766,58247621,58325418,58394597,58467977,58638917,58712057,58732286,58760777,58979621,59141476,59222224,59335178,59487737,59584121,59697496,59708606,60027123,60437984,60517157,60564677,60670855,60674805,61058763,61063696,61103125,61226597,61273637,61344137,61475986,61484921,61508357,61571307,61591950,61725175,62077203,62303890,62381256,62477802,62531621,62623877,62701336,62899877,63577886,63584837,63766277,63902021,64237459,64329977,64598777,64719792,64777337,64799621,64870179,64910921,65117276,65243621,65376197,65425855,65490926,65574521,65698080,65998168,66016612,66055340,66097255,66100217,66297496,66625002,66686117,67123587,67159683,67201615,67223417,67287557,67389566,67394297,67515775,67917738,67992732,68030537,68345957,68492537,68696658,68702667,68710046,69054780,69116297,69302021,69393643,69404921,69648926,69834917,69851476,70077952,70164115,70178913,70210526,70397438,70443077,70539003,70924421,71242757,71539337,72010121,72418277,72476297,72736035,72765317,72770684,72805026,72809766,72999086,73083340,73090697,73299175,73323750,73368446,73377967,73451621,73658432,73663012,73689987,73828421,73910340,74070210,74228455,74247939,74263400,74276357,74428491,74461637,74498597,74584683,74664521,74764668,74786335,74848121,74950168,75049157,75103817,75646457,75770452,76139416,76366210,76394057,76611412,76727621,76733656,77179397,77488997,77585104,77608697,77659877,77755838,77870692,77879535,77984499,78016121,78117257,78212000,78248335,78250172,78511026,78668357,78751097,78837696,79008224,79112777,79266408,79316706,79404568,79405817,79502921,79608067,79744421,80079497,80090607,80127077,80300921,80363897,80442437,80458121,80552057,80641938,80676857,80798932,80854450,81018930,81068763,81303135,81323657,81369317,81551237,82060421,82149317,82223177,82237838,82366168,82370297,82465876,82865736,82881892,82922057,82946606,83022437,83071504,83278757,83434121,83546325,83560517,83728037,83852921,83908217,84008859,84059621,84073337,84181406,84196938,84318939,84521477,84653635,84682277,84708446,84764540,84802121,85196921,85456121,85468997,85507577,85616536,85648421,85656843,85775621,85889417,86027621,86040137,86152421,86214521,86325363,86420192,86509817,86629838,86672650,86723344,86764421,86796568,86803646,87098755,87227897,87283242,87518597,87700008,87704931,87726175,87815621,87829467,87860837,87917177,87959010,87988500,88051577,88262021,88369791,88593043,88692408,88706297,88738277,88884252,89001977,89054117,89074146,89116080,89174709,89221838,89330139,89614457,89674121,89743602,89843235,89880677,89941735,90036376,90198137,90395621,90479177,90497657,90616997,90716921,90753017,90761486,90771017,90918616,90931838,90993317,91063397,91202021,91330121,91380857,91422917,91639452,91695497,91824521,92168777,92176421,92259977,92468012,92627438,92661939,92831621,92907257,92927717,92934521,92974936,93008837,93024680,93162055,93193637,93223953,93232421,93328121,93455442,93580517,93637886,93657737,93822944,93854400,93898002,93947621,93974921,94023557,94060937,94216697,94408421,94424650,94478921,94506617,94512355,94570121,94614521,94679621,94705157,94726217,94738757,94804421,94860197,94922021,94940921,94974437,95010917,95057152,95122277,95155397,95219237,95276921,95337317,95417477,95462117,95488121,95501897,95524217,95541497,95562377,95596037,95603621,95670857,95687621,95700617,95702021,95720837,95728421,95747237,95762021,95798921,95804921,95811977,95819621,95819897,95822021,95822921,95824037,95824517,95832784,96318603,96322387,96448852,96462115,96803438,97025340,97222716,97463246,97563762,97646139,98187535,98284766,98612366,98662509,98709674,98832856,99709336,99778959,...,493524026501178347614752449088039224468853291078885862429677191324619861574144005870498140848339258156566659738104089002005396594266077983995518410256427455107093329786591141391236091577411457006241581023411235499402709183624163160334679088267935699121833255218365383868743349256791397111287168203823855445529775372643898401529441298824450519088594302338454764149640049282038910428461259203276687765500883962755568528988941519759455666915800507728995825723446880169523418299580166513607104270328653201653864165734597323616978838401729400445337178358285345317183425275744754233170674790227099070465984919491858122933937899230901153839783868618630329257231979231977870761576934961752259633466036837783555186903010259217039657324611117572212817345645644725831434654183904779991335775294646391692047700223991240730637749173149224541170266428702069374351672458866865840703248819103042890721235690597672676865931909754516130670837240278153178468298145996681975393458893290042455712909209641884090894030413435744561162684597460232128190248179029567835914605752734888555652483992282295043630822018959408066805470369510926485584434151618603460283502608824540676801955996723807345640212007267467762813394636588646570220251442989126733376449851358514851252429165038916249241011683032952159299351371335713767462295671714568635753376701166597414556605060192238392848838941044032638527430392544450819348699887386231191433019336675595508185837657407203581603820350430652614691210087847588581723792333061504869644902081131478564369682474558671437252491519720298424933497038692361518633193211898460657398230319955747133012097409805417231758147090387109744300338739132426922164240939731766785970487963906260510710357668353833041256598719918915342401952345158405720660617079116558073280565949402768552951610333841401418303525836193664370067405493433112050752738501767222255936731146505692725343412131147874737838427268065238033627683279749338214416856185160532999293576577651827658286499547245620537355073909238686888485295762579081725141195846613542481794103151591867978568572831153795229026375615114038258671181521830276757984146115696987536912617600561219485371084092444866084751243412011295585998651920030235460959488493051662043282207656885483290920219105973996967140340011259515490364764221813795115286445643390953811431182593052555416507178310531926369343796698808045322028549691984311997998092456092691740420023548994702212516916905870770801760044803314985626728693657684923832785305210689515647627345627497244801111094613529546582592232457456572100290318574524204589551750377740674249375335558671709624941903976708097454255540628960226015336364904327398120078101281279159283886671976151719911564396107256141461502772248080757719329453637159351009919192539856702430794535852191423417747946752004793555095057400128733032844267923984048947909973723253066942846487858467716567704736246386803474117913082248715539778624103680135898837236237316194850336188896473591787832717079790128441811547442936199039321919014955469063358767386553442674081381323941580239162924601959607165001959723283753673611081981660402222205713926143798329}
19579  57854745603895418162006620464789263151477136668366715078418605186523154: {39154,293565,313136,352278,997509,1349157,1779869,2542670,2600549,3012086,3029165,3051204,3304457,3634998,3715070,3967229,4199165,4240397,4302980,4458084,4653614,5038998,5163576,5592158,5605397,5667470,5809023,5843357,6057710,6249549,6312389,6534845,6597957,6648020,6800964,7054301,7117865,7269252,7667128,7841814,7933646,7949117,7977624,8007710,8541438,8625519,8683869,8974827,9446345,9463652,9609252,9691997,9888758,10027565,10070157,10268475,10292837,10761581,10953040,11295854,11323109,11333780,11335614,11452989,11685518,12033078,12137909,12224375,12322170,12348845,12623486,13089197,13143648,13600536,13765997,13845710,14037149,14234584,14372237,14664365,14669250,14786604,14818614,14850269,14894949,14961869,15242345,15300603,15647200,16013907,16175870,16614852,16935941,17339870,17597238,17603100,17827397,18290814,18315309,18702665,18776640,18908309,19064175,19257566,19308484,19411044,19643549,19665710,19775492,20028416,20053070,20222537,20234116,20258189,20335120,20527997,20663798,20775557,20807844,21022157,21123720,21214670,21860621,22443198,22531968,22534889,22583715,22589396,22877010,23296265,23598852,23764185,24063684,24080349,24089296,24185849,24325229,24402144,24550409,24568397,24793397,25171384,25320086,25348464,25457604,25467710,25912397,26060957,26165669,26181029,26290661,26885375,26986589,27011870,27100458,27159077,27452412,27529166,27570569,27955518,28317807,28412957,28517022,28781157,28905880,28940270,29155574,29325710,29574845,29583017,29706941,30032549,30561252,30715229,30780974,31483972,32112957,32251637,32262450,32344109,32414244,32414345,32519115,32675896,32711957,32925461,33317956,33533395,33711675,34413280,34476041,34552024,34603049,34687056,34728324,35093109,35097710,35104589,35151614,35190852,35244845,35389709,35489814,35547869,35575958,35645381,35870309,35959120,36583876,36613997,36760383,37017710,37272494,37398909,37401470,37610729,37855469,38077349,38135966,38211509,38217929,38383869,38552270,38599517,38613016,38714940,38871027,38897214,39022938,39119006,39327380,39387269,40240074,40454010,40512206,41114957,41232809,41295936,41440265,41546846,41650820,41752709,42117252,42174134,42196469,42293814,42531389,42868877,43109668,43150944,43439643,43604157,43972820,44103158,44401757,44421252,44608061,44881764,45113549,45364214,45896549,46205870,46262724,46387646,46457928,46476845,46516269,46657886,46891829,47046446,47191515,47192856,47490149,47543438,47597080,47679581,47904850,48126549,48282269,48358781,48447957,48544812,48593846,48606857,48711977,48753629,49413149,49728318,49818365,49980984,50337616,50558069,50782670,51109838,51150317,51290861,51819446,52235309,52262680,52265169,52305710,52585769,52767384,52883236,53091963,53159726,53246420,53280568,53430734,53486837,53546715,54129374,54583599,54587870,54818115,54830757,54863669,54964094,55447044,55772214,55823357,56090189,56180375,56228607,56629818,56752109,56890349,57013865,57116496,57485820,57748397,57874580,57879149,58010309,58088189,58472656,58559006,58559657,58795515,58905496,58919246,59363307,59407766,59635337,59782038,59940639,60280670,60888557,60939204,61094357,61261035,61318208,61453001,61585240,61857172,62076149,62507465,62715216,62766852,63631478,63648926,63725069,63895704,64188974,64242957,64256058,64451128,64485797,64511369,64778415,64806020,64980475,65345104,65505444,65581397,65781738,65844158,65914781,66095429,66188798,66268683,66621989,66644381,66691358,67141949,67337157,67416450,67843070,67886966,68138414,68280376,68416638,68435500,68974670,68982984,69096976,69132196,69198974,69283395,69358107,69419780,69449496,69459689,69478997,69579158,70041917,70554618,70715829,71289317,71534909,71632749,71882667,71910880,72070397,72242949,72336804,72399497,72507519,72651017,72687566,73410857,73513242,73781741,73902288,73926845,73980244,74027780,74340278,74423669,74621870,74675966,74715374,74914469,75008958,75110606,75263369,75547480,75617668,75882926,75946997,76329620,76346006,76460477,76737507,76815423,76862669,77316857,77605857,77695869,77734098,77767224,77976570,77996757,78035199,78130683,78373289,78376670,78781829,78852437,79325129,79553789,80036164,80206286,80695029,80899740,81232649,81292269,81353069,81396595,81411684,81424589,82095076,82122600,82257758,82497710,82520765,82569175,82769604,82871870,83140074,83175008,83303736,83383229,83758229,83853686,83911694,84224957,84673118,84990915,86068757,86075894,86293056,86318475,86478749,86493572,86536766,86696909,86817134,86828201,87217149,87220718,87245669,87314345,87488127,87501197,87597440,88098429,88168457,88461701,88712214,88833336,89002767,89033189,89206958,89392829,89498116,89546244,89562909,89639069,90472334,90556984,90614501,90656976,90963355,91054349,91354175,91595544,91603556,91642349,91783646,92073040,92078765,92084621,92213979,92387925,92480837,92829250,93455835,93571884,93687710,93716703,94052004,94055789,94229726,94375997,94376357,94713065,95174270,95366829,95512157,95718134,95764265,95917070,96206318,96554486,96662909,96707606,96981380,97034414,97073368,97079688,97338365,97675914,97765000,97812715,98236389,98253316,98547120,98760280,98997252,99024918,99083010,99100958,99158957,99237988,99255710,99319061,99446244,99504029,99686224,99789629,99884489,99937503,...,658032035334904463486336598784052299291804388105181149906236255099493148765525341160664187797785677542088879650805452002673862125688103978660691213675236606809457773048788188521648122103215276008322108031214980665870278911498884213779572117690580932162444340291153845158324465675721862815049557605098473927373033830191864535372588398432600692118125736451273018866186732376051880571281678937702250354001178617007424705318588693012607555887734010305327767631262506892697891066106888684809472360438204268871818887646129764822638451202305867260449571144380460422911233700993005644227566386969465427287979892655810830578583865641201538453045158158173772342975972309303827682102579949003012844621382450378073582537347012289386209766148156762950423127527526301108579538911873039988447700392861855589396933631988320974183665564198966054893688571602759165802229945155821120937665092137390520961647587463563569154575879672688174227782987037537571291064194662242633857945191053389940950545612855845454525373884580992748216912796613642837586997572039423781219474336979851407536645323043060058174429358612544089073960492681235314112578868824804613711336811766054235735941328965076460853616009689957017084526182118195426960335257318835644501933135144686468336572220051888332321348910710602879065801828447618356616394228952758181004502268222129886075473413589651190465118588058710184703240523392601092464933183181641588577359115567460677581116876542938108805093800574203486254946783796784775631723110748673159526536108175304752492909966078228583003322026293731233244662718256482024844257615864614209864307093274329510682796546407222975677529453849479659067118318843235896218987919642355714627317285208347347613810224471777388342131626558553789869269793544540960880822772155410764374087932537024737268813778455201891071367781591552493423207324577482734336984669022963007915641528674256967124549508197166317117903024086984044836911039665784285889141580214043999058102103535770211048666062994160716473431878984915851313727683438775633521594462151389975725470868789157304758097108205060305368500820152051011561575362440369010645528154262650049216823467414959313828112123259821446334991216015060781331535893373647281279317990735549391042943542513977721226958807965329289520453348346020653819685629085060153715260857854605081908243457403407222009571080709235159125062265077393762704732922645749330664123274790255653893364731992936283355889207827694402346726404419980835638258210246565110380406947586020863503127503329659734814792818039395443456309943275429467053758099365606119402333836987565665833780744895612833255871968944129939007387505280301353781819872436530826770801708372212378515562634868959882085861476341521948670362997441010292439271516212468013225590053142269907726047802921897890330595669339724740126743200171644043792357231978731930546631631004089257128650477956955423606314995182404632157217442998287386371498804906847865116314983088259800448251861964789050443622773053504589082063257248265385762558686607292084478356515404590232108508431922106985550566135946142886669279631045004898148109308880536296274285234858397772}
19580  58081519598502518254152858471185801958165138044077787608849870051388607: {58731,273994,391420,469704,528417,723091,743242,1330012,1424011,1446034,1540579,1798876,1835914,1889851,2006131,2122339,2702299,2769994,2933779,3049411,3164971,3469042,3741691,3814005,3856819,3934354,4068272,4166794,4244242,4518129,4576806,4846664,5095114,5232739,5326834,5378725,5452497,5572605,5789842,5866954,5916811,5944112,6030571,6098194,6371419,6454470,6687126,6708737,6711619,6718664,6884768,6980421,7051171,7164211,7405834,7558497,7615651,7636114,7712842,7745364,8310025,8332732,8388237,8402899,8501205,8797276,9067952,9086565,9521419,9583910,9692336,9972030,10201446,10388242,10455752,10636832,10692754,10854139,10903878,11388584,11406379,11500692,11516611,11578492,11762721,11829565,11900469,11966436,11984074,12011565,12455261,12505459,12812157,12812336,13346314,13426876,13691300,13799242,14100874,14167225,14195478,14413878,14790091,14833137,15114152,15229714,15270652,15437011,16044104,16130194,16429560,16804042,16943781,17000670,17003421,17149459,17476594,17524864,17528277,17793230,18049617,18134048,18483255,18527251,18743434,18935229,19040842,19264099,19412242,19559000,19683571,19715472,19758152,19859932,20101891,20400804,20598034,20727211,20768565,20819914,20831179,21078134,21246331,21351876,21632242,21927154,22003875,22024961,22073179,22153136,22179906,22227921,22279171,22736842,23406979,23462984,23470800,23471242,23611099,23911114,24135605,24221731,24263805,24387752,24420412,24719365,24922278,24935242,25008274,25035520,25132819,25292645,25418900,25435219,25881392,26009805,26238451,26338531,26395857,26404650,26438539,26756242,26837851,27119242,27436221,27633019,27743792,27844042,28164960,28226371,28236745,28591409,28886349,28915339,28962726,29111539,29116566,29498565,29663238,29698411,29893459,29924264,30042624,30079605,30111620,30233021,30351174,30379819,30502680,30798994,30995697,31057699,31085842,31211766,31250731,31464230,31465136,31685580,31822005,31828099,32084912,32107132,32159242,32498419,32536192,32801554,33070171,33157834,33165211,33664797,33786389,33797952,33869194,33884094,33943472,34315515,35074834,35144419,35331259,35398278,35610979,36095526,36132350,36133944,36330437,36446251,36538699,36603216,36839434,36907771,37183819,37274024,37275691,37642459,37757076,37916779,37980129,38022696,38186406,38201565,38281531,38374876,38524042,38554339,38826499,39293074,39354965,39459019,39549091,40195837,40356499,40517805,40547314,40650687,40748336,40802539,40844870,40891531,41069299,41178618,41241874,41293749,41647445,41933277,42305611,42418954,42743731,42775533,42817276,42931577,43016600,43190030,43218992,43267099,43358820,43410405,43440979,43453714,43733361,43988565,44045414,44047291,44392171,44948900,44992939,45249331,45375634,45729845,45785842,45841878,46171461,46249408,46268419,46304432,46620497,46740754,46790812,46921136,47149042,47217034,47225958,47319752,47444251,47694379,48192691,48234994,48266270,48393675,48438154,48621366,49013844,49159225,49586674,49788874,49865212,49976934,49997659,50564659,51163574,51178492,51200242,51542309,51619920,51828036,51862952,51869842,51926971,52006459,52030584,52063525,52092486,52471114,52604554,52639771,52646565,52727421,52786278,52871242,53234721,53363937,53603314,53653432,53814811,53869042,53887085,53892571,53938680,54125419,54875814,54896899,54966025,55061248,55259914,55526565,55889059,55908741,56102205,56156336,56391752,56394737,56418259,56493571,56869051,57176966,57203949,57431314,57534592,57562354,57614611,57758794,57828405,57919524,58058491,58072410,58138876,58151242,58216594,58345821,58426411,58534407,58646299,58678509,58991070,59228336,59390194,59496350,59715274,59745329,59780242,59842352,59880091,60360111,60459854,60524851,60596131,60681015,60688114,60768309,61375459,61482278,61516219,61683632,61943904,62021692,62108434,62320269,62476230,62562739,62922020,62923808,63175878,63261201,63440721,63585034,63649042,63797179,64068331,64168732,64597276,64664502,64726416,64808059,64941619,64989514,65274259,65328350,65406811,65959230,66104045,66130699,66154737,66259594,66304424,66391771,66558025,66600710,66631878,66641312,67232299,67322646,67934011,68046321,68060659,68376019,68564371,68780554,68876851,69308805,69394086,69434779,69496411,69581469,69656842,69686892,69986829,70218514,70230379,70280842,70356512,70533139,70569669,70774051,70789284,70953979,71073571,71151754,71315157,71395620,71524042,71857275,72343225,72428179,72452242,72653438,72775291,72778132,72817218,72822514,72890769,73007434,73069042,73090820,73107676,73119811,73631731,73631870,73745674,73857379,73929392,74025859,74297842,74362952,74582779,74592477,74971476,75077851,75276274,75506424,75916997,76155328,76174005,76633411,76647760,76664757,76843219,76895491,76981550,77321465,77557601,77583634,77729169,78006154,78027259,78128419,78394020,78458565,78679651,78778939,79089034,79124179,79151076,79237361,79324854,79514419,79709384,79739589,79852099,79869630,79920852,80091139,80146101,80328379,80375611,80469859,80563910,80644042,80882314,81007525,81121531,81194061,81252272,81595594,81681380,81804091,81881805,81983371,82010669,82129042,82446141,82688971,82779274,82948819,83170566,83460739,83620288,83658321,83662834,83689136,84086059,84331651,84493939,84894619,84939197,84944727,85194272,85327051,85350470,85482139,85520731,85544375,85657276,85674744,85712611,86053459,86128411,86228730,86240299,86291914,86371220,86415245,86774725,86790019,86811870,86813842,86871754,87041011,87045394,87147499,87225446,87340592,87393451,87708984,87838509,87840859,87874771,88009699,88026634,88043251,88209931,88276099,88358244,88378869,88440259,88763179,88921939,89111649,89172211,89326291,89632714,89673057,89782876,89888600,89918194,89982859,90212971,90421005,90487954,90632011,90768091,90829042,90929011,91112842,91139539,91217299,91222184,91339594,91408806,91546771,91596197,91645699,91694731,91719139,91977312,92192179,92377860,92475305,92477476,92506171,92525842,92534725,92536157,92599328,92614891,92785758,92826931,92950699,93032074,93512371,93530659,93603091,93705034,93709579,93964459,93997219,94072824,94077859,94082261,94093771,94150278,94233739,94287772,94434350,94482211,94487242,94522085,94523899,94605331,94631899,94684171,94697059,94988434,95039491,95092411,95102779,95123299,95240371,95295019,95321371,95372131,95404531,95412025,95435779,95447217,95473219,95473389,95510332,95580931,95638891,95694331,95707939,95720899,95766259,95812771,95818819,95824219,95831779,95835451,95839339,95843556,95843659,96152842,96283461,96323932,96373834,96384087,96449072,96676692,97200274,97209030,97474954,98017656,98229761,98258166,98536384,98672607,98678794,98766237,99283197,99766474,...,987048053002356695229504898176078448937706582157771724859354382649239723148288011740996281696678516313133319476208178004010793188532155967991036820512854910214186659573182282782472183154822914012483162046822470998805418367248326320669358176535871398243666510436730767737486698513582794222574336407647710891059550745287796803058882597648901038177188604676909528299280098564077820856922518406553375531001767925511137057977883039518911333831601015457991651446893760339046836599160333027214208540657306403307728331469194647233957676803458800890674356716570690634366850551489508466341349580454198140931969838983716245867875798461802307679567737237260658514463958463955741523153869923504519266932073675567110373806020518434079314649222235144425634691291289451662869308367809559982671550589292783384095400447982481461275498346298449082340532857404138748703344917733731681406497638206085781442471381195345353731863819509032261341674480556306356936596291993363950786917786580084911425818419283768181788060826871489122325369194920464256380496358059135671829211505469777111304967984564590087261644037918816133610940739021852971168868303237206920567005217649081353603911993447614691280424014534935525626789273177293140440502885978253466752899702717029702504858330077832498482023366065904318598702742671427534924591343429137271506753402333194829113210120384476785697677882088065277054860785088901638697399774772462382866038673351191016371675314814407163207640700861305229382420175695177163447584666123009739289804162262957128739364949117342874504983039440596849866994077384723037266386423796921314796460639911494266024194819610834463516294180774219488600677478264853844328481879463533571940975927812521021420715336707666082513197439837830684803904690316811441321234158233116146561131898805537105903220667682802836607051672387328740134810986866224101505477003534444511873462293011385450686824262295749475676854536130476067255366559498676428833712370321065998587153155303655316572999094491241074710147818477373776970591525158163450282391693227084963588206303183735957137145662307590458052751230228076517342363043660553515968292231393975073825235201122438970742168184889732169502486824022591171997303840060470921918976986103324086564415313770966581840438211947993934280680022519030980729528443627590230572891286781907622862365186105110833014356621063852738687593397616090644057099383968623995996184912185383480840047097989404425033833811741541603520089606629971253457387315369847665570610421379031295254691254994489602222189227059093165184464914913144200580637149048409179103500755481348498750671117343419249883807953416194908511081257920452030672729808654796240156202562558318567773343952303439823128792214512282923005544496161515438658907274318702019838385079713404861589071704382846835495893504009587110190114800257466065688535847968097895819947446506133885692975716935433135409472492773606948235826164497431079557248207360271797674472474632389700672377792947183575665434159580256883623094885872398078643838029910938126717534773106885348162762647883160478325849203919214330003919446567507347222163963320804444411427852287596658}
19581  58309176169841507934278719520961731121845531620006354220648841119458992: {78308,410991,489275,587130,626272,704556,1114863,1662515,1995018,2169051,2248595,2366639,2698314,2753871,3559738,3656411,4154991,4240831,5085340,5201098,5203563,5878831,5901531,6024172,6058330,6102408,6233579,6250191,6366363,6608914,6865209,7055023,7269996,7430140,7640531,7642671,7934458,7990251,8398330,8480794,8605960,8684763,8800431,8916168,9147291,9148783,9307228,9394411,9681705,9965011,10030689,10077996,10327152,10415915,10996595,11108751,11184316,11210794,11334940,11454171,11503759,11569263,11618046,11686714,12115420,12499098,12624778,13069690,13195914,13224883,13296040,13601928,14038591,14108602,14235730,14375865,14473115,14538504,14958045,15302169,15334256,15469051,15582363,15683628,15867292,15898234,15955248,16015420,16039131,16355817,16783595,16985371,17082876,17114125,17251038,17288383,17367738,17949654,17976111,18892690,18927304,19088315,19218504,19383994,19777516,20015203,20019471,20055130,20140314,20530111,20536950,20585674,20698863,21151311,21293217,21339283,21523162,21620817,21630059,21906080,22591708,22601659,22646218,22667560,22671228,22844571,22905978,22907951,23371036,24066156,24185051,24195291,24275818,24448750,24552931,24644340,24697690,24824915,25206063,25246972,25501005,26002831,26178394,26183731,26214891,26287296,26689845,26705083,27031243,27201072,27531994,27691420,28074298,28115151,28469168,28561263,28744474,29118363,29243983,29285531,29328730,29338500,29573208,29637228,29700538,29789898,29923738,30484690,30525515,30601206,30897051,31026091,31229871,31294400,31617201,31773625,31831019,32027814,32097091,32351740,32448363,32614771,32890731,33229704,33269859,33417971,33871882,34105263,34679740,35108203,35194476,35206200,35206863,35392283,35643311,35654794,35866671,36581628,36630618,36853699,37383417,37402863,37405330,37512411,37553280,37639525,37816618,38115571,38128350,38180879,38515132,38616968,38822088,39287098,39331420,39550984,39606975,39853043,40056832,40106140,40133915,40134363,40445074,40466191,40468232,40516378,40670240,40678863,40715279,41055994,41327596,41404783,41551114,41615688,41766063,41981291,42044314,42247440,42429340,43277291,43444089,43674849,43721242,43973131,44076451,44494857,44886396,45063936,45069778,45167430,45178792,45198611,45245483,45380083,45526761,45617611,45754020,46198491,46592530,46628763,46817649,46861883,46946753,47196345,47197704,47528370,47684479,47968595,48127368,48160698,48178592,48238863,48283483,48371698,48650458,48804288,49100818,49136794,49202331,49342783,49586794,49736751,50234003,50342768,50640172,50696928,50803791,50826141,50915208,50935420,51088171,51296143,51824794,52121914,52331338,52362058,52581322,52591171,52612251,53097417,53339759,53521595,53770750,53973178,54023740,54143289,54198525,54200916,54318154,54904824,55058332,55141138,55259151,55911036,56095951,56186125,56635614,56674259,56825914,57028931,57034044,57111659,57279609,57562314,57786063,57811760,57880540,58016371,58311148,58488515,58533551,58651420,58939611,59149690,59166034,59413882,59622299,60065098,60820971,60879563,61122504,61195571,61267305,61430458,61561948,61767927,61862811,62094271,62331515,62904131,62967944,63628431,63973115,64225914,64503274,64524900,64688218,64785045,64828488,64828690,64948031,65038230,65067583,65180571,65351792,65423914,65691139,65850922,65885039,66068121,66212171,66635912,66651259,67066790,67423350,67750703,68063451,68678763,68762817,68826560,68952082,69104048,69206098,69374112,69456648,69745711,69795283,70111131,70186218,70195420,70209178,70303228,70381704,70489690,70723563,70779418,70825551,70838937,70979628,71095738,71151916,71290762,71740618,71918240,72352491,72399405,72657231,72673595,72932049,73167752,73216691,73227994,73520766,73780379,74035420,74089651,74380011,74480831,74544988,74683311,74797818,74802940,74965401,75221458,75710938,75864239,76154698,76271932,76423018,76435858,76468351,76745361,76767738,76800363,77104540,77199034,77226032,77429880,77527115,77742054,77794428,77804763,78045876,78138729,78238012,78652525,78654760,78706671,78774538,78906831,79179417,79306863,79783343,79819411,80210915,80404971,80480148,80746595,80803563,80908020,81024412,81088411,82075499,82229914,82313721,82465618,82591872,82776811,82880530,82889871,83093692,83301640,83505418,83840363,84117883,84234504,84251011,84348268,84392938,84587628,85062778,85252571,85737754,85765449,86146971,86219336,86294771,86301888,86343531,86597491,86638191,86879286,87108615,87196603,87208314,87226863,87297583,87324891,87510451,87945640,88206316,88486605,88803514,88842504,89085291,89216122,89244525,89572911,89670363,89763528,90005291,90227098,90689781,90728428,90737999,90972665,91032171,91063723,91240483,91363525,91384595,91793098,92223417,92248451,92411740,92525448,92775292,92915856,92953690,93032538,93162651,93315772,93686179,93714345,93783658,94092892,94383030,94385712,94438619,94763817,94980298,95085931,95086876,95194160,95359162,95377551,95473563,95809700,96253098,96564538,96717562,96895914,96996753,97089624,97187692,97213714,97224443,97423954,97484271,97507258,97698383,97962511,97992525,98826298,98938845,99389391,99456636,99636730,99901065,99947817,99961968,...,1480572079503535042844257347264117673406559873236657587289031573973859584722432017611494422545017774469699979214312267006016189782798233951986555230769282365321279989359773424173708274732234371018724743070233706498208127550872489481004037264803807097365499765655096151606230047770374191333861504611471566336589326117931695204588323896473351557265782907015364292448920147846116731285383777609830063296502651888266705586966824559278367000747401523186987477170340640508570254898740499540821312810985959604961592497203791970850936515205188201336011535074856035951550275827234262699512024370681297211397954758475574368801813697692703461519351605855890987771695937695933612284730804885256778900398110513350665560709030777651118971973833352716638452036936934177494303962551714339974007325883939175076143100671973722191913247519447673623510799286106208123055017376600597522109746457309128672163707071793018030597795729263548392012511720834459535404894437990045926180376679870127367138727628925652272682091240307233683488053792380696384570744537088703507743817258204665666957451976846885130892466056878224200416411108532779456753302454855810380850507826473622030405867990171422036920636021802403288440183909765939710660754328967380200129349554075544553757287495116748747723035049098856477898054114007141302386887015143705907260130103499792243669815180576715178546516823132097915582291177633352458046099662158693574299058010026786524557512972221610744811461051291957844073630263542765745171376999184514608934706243394435693109047423676014311757474559160895274800491116077084555899579635695381972194690959867241399036292229416251695274441271161329232901016217397280766492722819195300357911463891718781532131073005061499123769796159756746027205857035475217161981851237349674219841697848208305658854831001524204254910577508580993110202216480299336152258215505301666767810193439517078176030236393443624213515281804195714100883049839248014643250568555481598997880729732955482974859498641736861612065221727716060665455887287737245175423587539840627445382309454775603935705718493461385687079126845342114776013544565490830273952438347090962610737852801683658456113252277334598254253730236033886757995955760090706382878465479154986129846622970656449872760657317921990901421020033778546471094292665441385345859336930172861434293547779157666249521534931595779108031390096424135966085649075952935993994277368278075221260070646984106637550750717612312405280134409944956880186080973054771498355915632068546942882036882491734403333283840588639747776697372369716300870955723572613768655251133222022748126006676015128874825711930124292362766621886880678046009094712982194360234303843837477851660015928455159734693188321768424384508316744242273157988360911478053029757577619570107292383607556574270253243840256014380665285172200386199098532803771952146843729921169759200828539463575403149703114208739160410422353739246746146619335872311040407696511708711948584551008566689420775363498151239370385325434642328808597117965757044866407190076302159660328022244143971824740717488773805878821495005879169851261020833245944981206666617141778431394987}
19582  58537718728377472469549234123480946448508009634307632300348875546114009: {97885,117462,215281,449857,547988,567037,782840,801181,880695,939408,1056834,1446182,1486484,2199997,2660024,2848022,2892068,2895517,2992527,3081158,3473137,3597752,3671828,3703681,3779702,4012262,4047471,4244678,5080897,5339607,5404598,5423581,5539988,5651677,5867558,6098822,6329942,6356675,6938084,7483382,7530215,7628010,7691581,7713638,7801647,7868708,8029297,8136544,8333588,8478577,8488484,8814781,9036258,9087495,9153612,9287675,9596737,9693328,9708157,9913371,10190228,10465478,10653668,10757450,10818397,10904994,11145210,11579684,11634035,11733908,11833622,11888224,11901687,12061142,12196388,12597495,12721191,12742838,12908017,12908940,13374252,13417474,13423238,13437328,13769536,13960842,13980395,13997377,14102342,14168675,14328422,14811668,15116994,15144275,15187357,15231302,15272228,15425684,15490728,15725377,16154497,16475581,16561391,16620050,16665464,16776474,16805798,16816191,17002410,17009281,17427069,17530071,17594552,18135904,18173130,18748647,18937167,19042838,19167820,19384672,19604535,19650781,19793871,19834115,19944060,20019275,20402892,20776484,20911504,21162903,21273664,21353595,21385508,21708278,21731581,21807756,22555837,22777168,22812758,23001384,23033222,23156984,23525442,23659130,23800938,23847351,23932872,23968148,24023130,24721895,24910522,25010918,25624314,25624672,25876557,26007517,26051607,26107777,26308081,26692628,26853752,26924481,27006877,27382600,27503857,27598484,28201748,28239635,28334450,28339035,28390956,28787581,28827756,29075991,29213795,29580182,29666274,30082695,30210471,30228304,30459428,30541304,30805425,30874022,30878511,31558715,32088208,32260388,32284743,32859120,33608084,33611581,33789847,33800797,33887562,33969327,34001340,34006842,34298918,34358967,34607111,34614275,34742557,34953188,35049728,35056554,35210737,35409703,35586460,36099234,36141697,36268096,36413727,36673125,36696817,36881281,36966510,37046535,37054502,37486868,37870458,38081684,38528198,38824484,39118000,39267591,39367142,39430944,39516304,39531443,39719864,40199951,40203782,40439675,40510081,40801608,41133277,41196068,41222017,41297991,41454422,41537130,41576257,41639828,41662358,42105457,42111447,42156268,42492662,42703752,42935971,43116711,43264484,43349675,43417117,43854308,43993095,44007750,44049922,44146358,44306272,44359812,44455842,44550807,44558342,44684847,44885607,44924759,45473684,45482077,45567217,45727035,45737281,45901809,46330237,46813958,46925968,46941600,46942484,47222198,47254897,47504171,47822228,48041721,48087937,48143915,48271210,48443462,48501757,48527610,48775504,48840824,49164275,49242097,49438730,49844556,49870484,50016548,50071040,50132675,50265638,50585290,50807823,50837800,50870438,50946877,51659495,51762784,52019610,52476902,52677062,52698781,52791714,52809300,52877078,53036675,53482191,53512484,53675702,54106237,54238484,54493057,54872442,54878077,54945927,55096951,55266038,55487584,55688084,56107995,56173681,56329920,56452742,56473490,56724927,57182818,57192525,57299581,57772698,57819457,57830678,57925452,58223078,58233132,58262257,58306423,58775581,58930647,58997130,59326476,59396822,59719537,59786918,59848528,60085248,60159210,60222781,60223240,60365917,60466042,60580081,60667611,60702348,60759638,60774567,61005360,61289281,61583991,61597988,61991394,62115398,62171684,62326671,62339581,62423532,62478397,62501462,62928460,62930272,63066471,63300215,63371160,63644010,63656198,63669275,63918577,64021783,64169824,64214264,64318484,64996838,65072384,65194237,65525617,65581863,65603108,66140342,66248317,66315668,66330422,66897757,67026781,67329594,67348081,67529675,67572778,67595904,67604667,67667581,67738388,67751145,67768188,67886944,68534279,68631030,68822915,69361777,69853681,69888795,69975937,70149668,70288838,70462081,70662518,70796556,70943617,71221958,71292555,72191052,72241047,72264700,72267888,72350675,72360577,72557547,72660874,72888935,72892502,72975687,73077398,73110781,73206432,73282177,73314275,73651227,73678868,73705191,73815542,74367638,74380191,74519281,74548048,74551382,75284918,75342781,75441919,75505537,75514152,75833558,75960258,75989917,76045392,76372812,76403130,76563062,76749752,76952435,77048084,77108678,77459581,77652998,77716081,77737191,78072157,78182871,78497007,78543087,78586148,78709930,78724081,78871983,78872797,78918038,79098182,79461181,79799617,79943581,80391674,80418781,80656125,80712998,80747137,80959767,81035610,81094628,81301374,81477231,81496672,81605078,81689740,81711037,81783062,82138598,82335997,82357236,82468081,82483748,82587498,82711707,83294890,83459197,83836657,83866554,84002831,84043837,84611222,84837908,84854557,84953421,85238871,85487462,85551066,85559581,85634552,85674817,85863154,86033200,86054257,86241277,86343471,86380060,86437984,86534198,86682781,86717640,86820810,86863681,86881958,86907428,87325597,87466722,87569281,87744275,87879035,87911281,87977130,88090828,88094582,88146397,88312177,88508737,88638337,88670557,88724535,88749051,88784342,88939895,89120823,89422237,89812081,89897800,89985878,90097647,90303517,90498662,90527581,90751268,90801181,91249777,91275517,91377757,91459690,91571684,91658983,91683756,91871677,92145687,92223217,92291581,92342922,92470717,92498816,92536838,92544275,92545663,92608864,92980477,93041281,93181235,93239281,93240994,93430081,93481508,93503675,93581624,93841597,93842272,93992257,94230397,94298084,94434068,94451916,94466557,94639504,94658077,94671217,94847617,94888502,94976317,95158081,95187997,95339915,95388758,95558977,95603581,95615677,95633281,95644657,95687281,95720797,95725297,95734081,95766337,95773681,95790781,95861377,95861917,95863681,95955803,96338871,96380675,96385382,96469988,96532540,96754911,96787350,96876308,97032327,97242732,97243035,97557345,97797515,98027688,98135871,98318450,98776383,99173348,99577748,99730424,99953868,99995318,...,1974096106004713390459009796352156897875413164315543449718708765298479446296576023481992563393357032626266638952416356008021586377064311935982073641025709820428373319146364565564944366309645828024966324093644941997610836734496652641338716353071742796487333020873461535474973397027165588445148672815295421782119101490575593606117765195297802076354377209353819056598560197128155641713845036813106751062003535851022274115955766079037822667663202030915983302893787520678093673198320666054428417081314612806615456662938389294467915353606917601781348713433141381268733701102979016932682699160908396281863939677967432491735751596923604615359135474474521317028927916927911483046307739847009038533864147351134220747612041036868158629298444470288851269382582578903325738616735619119965343101178585566768190800895964962922550996692596898164681065714808277497406689835467463362812995276412171562884942762390690707463727639018064522683348961112612713873192583986727901573835573160169822851636838567536363576121653742978244650738389840928512760992716118271343658423010939554222609935969129180174523288075837632267221881478043705942337736606474413841134010435298162707207823986895229382560848029069871051253578546354586280881005771956506933505799405434059405009716660155664996964046732131808637197405485342855069849182686858274543013506804666389658226420240768953571395355764176130554109721570177803277394799549544924765732077346702382032743350629628814326415281401722610458764840351390354326895169332246019478579608324525914257478729898234685749009966078881193699733988154769446074532772847593842629592921279822988532048389639221668927032588361548438977201354956529707688656963758927067143881951855625042042841430673415332165026394879675661369607809380633622882642468316466232293122263797611074211806441335365605673214103344774657480269621973732448203010954007068889023746924586022770901373648524591498951353709072260952134510733118997352857667424740642131997174306310607310633145998188982482149420295636954747553941183050316326900564783386454169927176412606367471914274291324615180916105502460456153034684726087321107031936584462787950147650470402244877941484336369779464339004973648045182343994607680120941843837953972206648173128830627541933163680876423895987868561360045038061961459056887255180461145782573563815245724730372210221666028713242127705477375186795232181288114198767937247991992369824370766961680094195978808850067667623483083207040179213259942506914774630739695331141220842758062590509382509988979204444378454118186330368929829826288401161274298096818358207001510962696997501342234686838499767615906832389817022162515840904061345459617309592480312405125116637135546687904606879646257584429024565846011088992323030877317814548637404039676770159426809723178143408765693670991787008019174220380229600514932131377071695936195791639894893012267771385951433870866270818944985547213896471652328994862159114496414720543595348944949264779401344755585894367151330868319160513767246189771744796157287676059821876253435069546213770696325525295766320956651698407838428660007838893135014694444327926641608888822855704575193316}
19583  58767150697660497268906656873214645949099886028149871173429949516034864: {19583,156616,176193,684985,821982,978550,1174260,1252544,1409112,1585251,1858105,2169273,2229726,2327521,2796937,3148033,3325030,3615085,3990036,4086577,4272033,4321213,4338102,4497190,4589785,4621737,4733278,5396628,5507742,5669553,6018393,6234217,6367017,6663481,6924985,7119476,7312822,7366957,7641313,8106897,8309982,8481662,8539417,8672605,8801337,8808481,9148233,9494913,9835885,10170680,10402196,10407126,10416985,10610605,11225073,11442015,11570457,11757662,11803062,12048344,12116660,12204816,12467158,12500382,12732726,12737785,13027177,13217828,13317085,13554387,13730418,14110046,14474605,14539992,14582281,14667385,14860280,15230281,15245485,15281062,15285342,15395233,15698217,15868916,15980502,16136175,16357491,16717815,16796660,16961588,17211920,17369526,17600862,17750433,17793457,17832336,18091713,18294582,18297566,18514585,18614456,18788822,19073857,19090285,19114257,19282105,19363410,19565521,19930022,20061378,20126211,20134857,20155992,20262361,20654304,20831830,20941263,21153513,21492633,21632281,21993190,22058377,22217502,22368632,22421588,22669880,22675491,22846953,22908342,23007518,23138526,23236092,23336137,23373428,23497033,23779033,23959775,24230840,24930075,24998196,25164711,25208697,25249556,25503615,25562797,25970605,26139380,26391828,26449766,26462857,26588041,26592080,26723641,26731885,27073033,27203856,27259695,27490513,28014481,28077182,28217204,28471460,28564257,28582333,28751730,28946230,29077008,29468701,29713057,29916090,29960185,29973037,30604338,30668512,30938102,31164726,31367256,31734584,31796468,31825537,31834297,31910496,32030840,32078262,32104381,32258281,32562417,32711634,32781181,33365785,33567190,33970742,34079713,34165752,34219137,34228250,34498105,34502076,34549833,34576766,34610173,34735476,34754881,35252185,35288163,35488695,35701407,35899308,35952222,36034695,36053821,37181593,37349497,37365783,37516377,37618477,37785380,37854608,38074285,38176630,38436471,38437008,38607481,38767988,39555032,39556081,39857137,40030406,40038942,40110260,40115497,40280628,40325485,40719481,41060222,41073900,41141617,41171348,41397726,42010105,42123913,42302622,42349597,42407497,42501675,42586434,42678566,42735721,43046324,43051201,43241634,43260118,43421953,43691485,43812160,44370273,44483075,44499411,45122857,45183416,45203318,45250141,45292436,45335120,45342456,45689142,45811956,45815902,45906001,46093633,46311033,46742072,46858585,46866697,47129377,47602105,48118057,48132312,48368737,48370102,48390582,48530605,48532153,48551636,48897500,49105862,49183261,49288680,49395380,49614253,49649830,50093737,50412126,50493944,50542753,50568481,50826457,50831343,51002010,51010263,51448377,51495085,52005662,52049785,52356788,52367462,52429782,52574592,52584831,52695335,53379690,53410166,53698417,53765713,54009721,54062486,54080605,54148851,54402144,54710893,54732541,54817885,55063988,55382840,55449765,55581753,55860937,56148596,56187481,56230302,56680081,56763793,56805687,56842105,56938336,57122526,57488948,57536281,57792297,58236726,58270717,58487966,58539577,58571062,58657460,58677000,58678105,58994641,59050713,59146416,59274456,59401076,59438857,59579796,59770873,59777785,59847476,60046657,60305673,60344041,60885817,60969380,61051030,61201873,61202412,61307881,61794102,62052182,62088937,62181633,62305695,62338105,62459742,62493537,62520685,62588800,62943277,63037897,63040657,63234402,63547250,63562813,63662038,63708157,63738217,63738993,64055628,64071901,64194182,64703480,64896726,65229542,65781462,66011625,66074883,66219537,66308737,66459408,66539718,66683763,66777553,66835942,66837513,66890605,67156033,67495597,67743764,67798105,68210526,69113113,69359480,69442033,69610105,70047337,70064233,70216406,70220937,70304617,70388952,70412400,70413726,70462717,70784566,70833297,71286622,71309588,71549641,71733342,72243841,72406815,72665193,72791415,73163256,73261236,73707398,73787977,74158095,74627377,74766834,74805726,74810660,74930233,75024822,75106560,75279050,75279133,75398457,75633236,75872137,75877935,76231142,76256700,76305657,76361758,76578013,76913521,76997485,77030264,77140873,77143741,77233936,77644176,77714605,77864137,78029415,78574196,78660575,78662840,78715353,78868681,79015593,79101968,79187571,79213950,79315617,79706086,79791577,80113664,80212280,80267830,80268726,80398105,80505181,80513553,80674777,80890148,80932382,80936464,81032756,81249373,81340480,81346801,81357726,81430558,81883921,82003885,82084057,82111988,82308663,82655192,82809566,82894585,82899057,83102228,83231376,83532126,83962582,84088628,84361021,84494880,84672985,84679113,84710235,84858680,84965737,85547353,85774227,86214337,86554582,86659047,86746017,86846077,86888178,87264121,87334617,87349698,87442484,87687085,87946262,88152902,88495695,88989714,89095233,89411233,89562361,89622457,89657737,89680377,89772792,90014557,90127872,90139556,90238815,90330875,90334860,90357584,90397222,90490966,90699063,90747481,90760166,90831901,91053522,91139457,91159057,91235222,91508040,91661257,91703197,92098585,92396982,92987091,93173097,93185060,93257526,93635298,93723766,93752193,93891241,93893506,94075153,94392690,94395408,94395793,95056740,95202577,95368958,95466015,95484297,95937190,95998813,96254736,96310105,96321396,96357184,96447097,96477726,96566966,96743396,96998317,97234477,97300916,97495257,97608576,97708441,98002081,98201636,98232685,98273588,98404662,98685566,99173588,99210513,99473502,99495633,99524521,99905053,...,2961144159007070085688514694528235346813119746473315174578063147947719169444864035222988845090035548939399958428624534012032379565596467903973110461538564730642559978719546848347416549464468742037449486140467412996416255101744978962008074529607614194730999531310192303212460095540748382667723009222943132673178652235863390409176647792946703114531565814030728584897840295692233462570767555219660126593005303776533411173933649118556734001494803046373974954340681281017140509797480999081642625621971919209923184994407583941701873030410376402672023070149712071903100551654468525399024048741362594422795909516951148737603627395385406923038703211711781975543391875391867224569461609770513557800796221026701331121418061555302237943947666705433276904073873868354988607925103428679948014651767878350152286201343947444383826495038895347247021598572212416246110034753201195044219492914618257344327414143586036061195591458527096784025023441668919070809788875980091852360753359740254734277455257851304545364182480614467366976107584761392769141489074177407015487634516409331333914903953693770261784932113756448400832822217065558913506604909711620761701015652947244060811735980342844073841272043604806576880367819531879421321508657934760400258699108151089107514574990233497495446070098197712955796108228014282604773774030287411814520260206999584487339630361153430357093033646264195831164582355266704916092199324317387148598116020053573049115025944443221489622922102583915688147260527085531490342753998369029217869412486788871386218094847352028623514949118321790549600982232154169111799159271390763944389381919734482798072584458832503390548882542322658465802032434794561532985445638390600715822927783437563064262146010122998247539592319513492054411714070950434323963702474699348439683395696416611317709662003048408509821155017161986220404432960598672304516431010603333535620386879034156352060472786887248427030563608391428201766099678496029286501137110963197995761459465910965949718997283473723224130443455432121330911774575474490350847175079681254890764618909551207871411436986922771374158253690684229552027089130981660547904876694181925221475705603367316912226504554669196508507460472067773515991911520181412765756930958309972259693245941312899745521314635843981802842040067557092942188585330882770691718673860345722868587095558315332499043069863191558216062780192848271932171298151905871987988554736556150442520141293968213275101501435224624810560268819889913760372161946109542996711831264137093885764073764983468806666567681177279495553394744739432601741911447145227537310502266444045496252013352030257749651423860248584725533243773761356092018189425964388720468607687674955703320031856910319469386376643536848769016633488484546315976721822956106059515155239140214584767215113148540506487680512028761330570344400772398197065607543904293687459842339518401657078927150806299406228417478320820844707478493492293238671744622080815393023417423897169102017133378841550726996302478740770650869284657617194235931514089732814380152604319320656044488287943649481434977547611757642990011758339702522041666491889962413333234283556862789974}
19584  58997475514375513853418043369535296990673488645844747356449722856222005: {137039,195770,234924,254423,430562,606143,801263,840263,899714,1035143,1095976,1134074,1232973,1467825,1565680,1602362,1618583,1761390,1878816,1967783,2084039,2113668,2200223,2471039,2664239,2892364,2934383,2972968,3050039,3165623,3242639,3344589,3511943,3742463,3819239,4087703,4399994,4852583,4987545,5320048,5462183,5696044,5784136,5791034,5985054,5993903,6107639,6162316,6507153,6675239,6745785,6788543,6946274,7099917,7165703,7195504,7343656,7407362,7559404,7692383,8024524,8067623,8094942,8261613,8479463,8489356,8853023,8899345,9597743,10161794,10413239,10542301,10679214,10809196,10847162,10856423,10969233,11079976,11303354,11735116,12197644,12464973,12659884,12713350,12722493,12727103,13002745,13876168,14793239,14966764,14973239,15060430,15145825,15224903,15256020,15383162,15427276,15512039,15603294,15610689,15737416,15977543,16058594,16273088,16287649,16512983,16522285,16667176,16957154,16976968,17629562,17636493,17649239,17704593,18002639,18072516,18174990,18307224,18425663,18531239,18575350,18700737,18750573,19099089,19128143,19193474,19386656,19416314,19572553,19652903,19687823,19826742,19836145,20175863,20380456,20384543,20595627,20731703,20930956,20995825,21165069,21201985,21216383,21307336,21514900,21561623,21636794,21809988,21837239,22284023,22290420,22352639,22592543,22921593,22928013,23159368,23268070,23378039,23467816,23480183,23667244,23718239,23776448,23803374,23970753,24122284,24227039,24392776,24801503,24902639,25003703,25194990,25442382,25485676,25816034,25817880,26054289,26310983,26344343,26401293,26748504,26834948,26846476,26874656,26910239,27441873,27446349,27506903,27539072,27767761,27837263,27921684,27960790,27994754,28026985,28183233,28204684,28298423,28337350,28656844,28725239,28889039,28987223,29045115,29216039,29216785,29623336,29802623,29895033,30092067,30233988,30288550,30289463,30374714,30462604,30544456,30742223,30851368,30935783,30981456,31161239,31247745,31450754,31561945,31643039,32027183,32308994,32378303,32674225,32760239,32951162,32989785,33122782,33141023,33236039,33240100,33326253,33330928,33552948,33611596,33615383,33632382,34004820,34018562,34362513,34511277,34610653,34707789,34854138,34965239,35060142,35189104,35214743,35271505,35339303,35589325,36271808,36346260,36516239,36916223,37345463,37497294,37528943,37874334,38085676,38335640,38351039,38769344,38895863,39016583,39209070,39257639,39301562,39535489,39587742,39648263,39668230,39674649,39745585,39888120,40038550,40805784,40899313,40901039,40960343,41138063,41492639,41552968,41823008,41934239,42115773,42227639,42325806,42374039,42547328,42707190,42771016,43127595,43161143,43335263,43416556,43419345,43451183,43463162,43538039,43615512,44028863,44182201,44460023,44832239,44874135,44929357,44975039,45060623,45111674,45345383,45554336,45625516,45771023,45906507,46002768,46066444,46166663,46313968,46335743,46407153,46747089,46953239,47050884,47231725,47318260,47509033,47511239,47594663,47601876,47694702,47865744,47936296,48046260,48117393,48459985,48755039,49067451,49111343,49443790,49821044,49901303,50021836,50063903,50137825,50253239,50350785,50956113,51248628,51249344,51342375,51464185,51594239,51753114,51865149,51939623,51992639,52015034,52103214,52215554,52468343,52616162,52705223,53092897,53098583,53385256,53707504,53807905,53848962,53928333,54013754,54138743,54525503,54765200,54910463,55007714,55196968,55751039,56141293,56403496,56432303,56479270,56507639,56615545,56633039,56668900,56678070,56781912,57264945,57331583,57455663,57575162,57655512,57703223,58151982,58416623,58427590,58490039,58734239,59160364,59332548,59510303,59582639,59895263,59943239,60045609,60058413,60165390,60254303,60420942,60456608,60540239,60587783,60611543,60689545,60918856,61082608,61121875,61367639,61438103,61590333,61610850,61672463,61744225,61748044,61757022,62096589,62347583,62370743,62993039,63117430,63176303,63381863,63453933,63609503,63858983,63879651,64017849,64130039,64176416,64520776,64569486,64623983,64735703,64862451,64890177,65202743,65401823,65445985,65688239,65718240,66344039,66712463,66777239,67057103,67216168,67223162,67314239,67401481,67485023,67579694,67601594,67697783,67775124,67803863,67804977,67938654,67952039,68002680,68013684,68120903,68533713,68582639,68597836,68717934,68723853,68829985,69214222,69228550,69309239,69485114,69906376,70099456,70113108,70185745,70289783,70421474,70819406,70833239,70973183,71092823,71132639,71172920,71271743,71568503,71667023,71861185,72198468,72253943,72283394,72323293,72447983,72506039,72536192,72555153,72585873,72827454,72852863,73120823,73139903,73260781,73321825,73346250,73393634,73406183,73658793,73689743,73762562,73933020,74093070,74109004,74251345,74307239,74362943,74474745,74769239,74809345,74973736,75135239,75353303,75534143,75618189,75732143,75740916,76000583,76163368,76211725,76479239,76503015,76655039,76864943,76952063,77056396,77264039,77470583,77487743,77648968,77693039,78008493,78083303,78236000,78535182,78551193,78644673,78734284,78735383,78751943,78861888,78999383,79032608,79062886,79146983,79228703,79439728,79488863,80069535,80114423,80115249,80162039,80399902,80407564,80430503,80712239,80758943,80879350,80995057,81020162,81093729,81405239,81557039,81603216,81858239,82266554,82392136,82407023,82444034,82494983,82568063,82595982,82713623,82786103,82908844,83002343,83074260,83102639,83152514,83279656,83316239,83324716,83387039,83485823,83598239,83807639,83987663,84152639,84210914,84222894,84312536,84345453,84357239,84519623,84679705,84920543,84985324,84986663,85183823,85353239,85379183,85407504,85547039,85572743,85683789,85871942,86080103,86155103,86233422,86267063,86528968,86696303,86699350,86708423,86834234,86889263,86949143,87092039,87174863,87304223,87351023,87355089,87708616,87731949,87789239,87856593,87925223,87986190,87992783,88015500,88093583,88099844,88292716,88326263,88403039,88612544,88620301,88719624,88781039,88908383,88911684,89101614,89116684,89128463,89136985,89201039,89221703,89355239,89369694,89588183,89708039,89771214,89777423,89826743,89836583,89849518,90524039,90570239,90816263,90843239,90947368,90959303,90964154,90977039,91091543,91134434,91265063,91426943,91452239,91454070,91474562,91576545,91577639,91725743,91742039,91803618,92076863,92123543,92177639,92238983,92330039,92405039,92493983,92538023,92660474,92691153,92955743,92976239,92996663,93023783,93077639,93078273,93177239,93223103,93320063,93446543,93452783,93513325,93545423,93575903,93627916,93648239,93689613,93689903,93851936,93883200,93884968,93885517,93909239,94009103,94127639,94216583,94247423,94283039,94308239,94416743,94444396,94455239,94509794,94526039,94541545,94572239,94648943,94675463,94757543,94770239,94791239,94803743,94851603,94905143,94959743,95008342,95016503,95075063,95145383,95209223,95320875,95441039,95472383,95480039,95493057,95564039,95579663,95622143,95624183,95644456,95651903,95676239,95679863,95722463,95731943,95745623,95754383,95781503,95792663,95823239,95861063,95866103,95870039,95874239,95879783,95882639,95883143,96083442,96175874,96287830,96291273,96352081,96542420,96886924,97003514,97055220,97345089,97551008,97681648,97844313,98217745,98328550,98484194,98672193,98877460,99276073,99689112,99740968,99809577,...,4441716238510605128532772041792353020219679619709972761867094721921578754167296052834483267635053323409099937642936801018048569348394701855959665692307847095963839968079320272521124824196703113056174229210701119494624382652617468443012111794411421292096499296965288454818690143311122574001584513834414699009767978353795085613764971689420054671797348721046092877346760443538350193856151332829490189889507955664800116760900473677835101002242204569560962431511021921525710764696221498622463938432957878814884777491611375912552809545615564604008034605224568107854650827481702788098536073112043891634193864275426723106405441093078110384558054817567672963315087813087800836854192414655770336701194331540051996682127092332953356915921500058149915356110810802532482911887655143019922021977651817525228429302015921166575739742558343020870532397858318624369165052129801792566329239371927386016491121215379054091793387187790645176037535162503378606214683313970137778541130039610382101416182886776956818046273720921701050464161377142089153712233611266110523231451774613997000872355930540655392677398170634672601249233325598338370259907364567431142551523479420866091217603970514266110761908065407209865320551729297819131982262986902140600388048662226633661271862485350246243169105147296569433694162342021423907160661045431117721780390310499376731009445541730145535639550469396293746746873532900057374138298986476080722897174030080359573672538916664832234434383153875873532220890790628297235514130997553543826804118730183307079327142271028042935272423677482685824401473348231253667698738907086145916584072879601724197108876688248755085823323813483987698703048652191842299478168457585901073734391675156344596393219015184497371309388479270238081617571106425651485945553712049022659525093544624916976564493004572612764731732525742979330606649440898008456774646515905000303430580318551234528090709180330872640545845412587142302649149517744043929751705666444796993642189198866448924578495925210584836195665183148181996367661863211735526270762619521882336146928364326811807117155480384157061237380536026344328040633696472490821857315041272887832213558405050975368339756832003794762761190708101660273987867280272119148635396437464958389539868911969349618281971953765972704263060101335639413282877996324156037578010790518584302880643337472998748564604794787337324094170289272407898256947227858807981982832104834225663780211940952319912652252152836937215840403229834870640558242919164314495067746896205640828646110647475203209999851521765919243330092117109148902612867170717841305965753399666068244378020028045386624477135790372877088299865660642034138027284138946583080702911531512433554980047785365479204079564965305273153524950232726819473965082734434159089272732858710321877150822669722810759731520768043141995855516601158597295598411315856440531189763509277602485618390726209449109342626217481231267061217740238439858007616933121223089535126135845753653025700068262326090494453718111155976303926986425791353897271134599221570228906478980984066732431915474222152466321417636464485017637509553783062499737834943619999851425335294184961}
19585  59228696628392334356384383898910525699985867854999060830886087056683394: {39166,293655,313232,352386,645843,958979,1349571,1369970,1643964,1701111,1957100,2348520,2403543,2505088,2601347,2642085,2818224,3170502,3305471,3615455,3716210,4338546,4459452,4655042,4829591,5061119,5593874,6296066,6425699,6599991,6650060,6664163,7120055,7230170,7367711,7702895,7875023,7980072,8173154,8540291,8544066,8642426,8676204,8686551,8977581,8994380,9179570,9238163,9243474,9449255,9466556,9694979,10030655,10410023,10419411,10611695,10793256,11015484,11111043,11339106,12036786,12141647,12142413,12284999,12468434,12734034,13326962,13511495,13770239,13849970,13925603,14238952,14376659,14583779,14625644,14668895,14733914,14854847,15242691,15247055,15282626,15659303,15824855,16018821,16213794,16270743,16619964,16955031,16963324,17078834,17345210,17602674,17616962,17832899,17999423,18296466,18643919,18708455,18989826,19070025,19284095,19671770,20228759,20264447,20341360,20534339,20781959,20804392,20814252,20833970,21028631,21221210,21343679,21867347,22060643,22211639,22450146,22541831,22590645,22884030,23074743,23140914,23404941,23515324,23606124,24087891,24096688,24233320,24409632,24934316,25000764,25435731,25465452,25475570,25565423,25920419,26054354,26068991,26163695,26173727,26435656,26444343,26634170,26726399,26893625,26994947,27108774,27167459,27262485,27359903,27460836,27579071,27863025,28220092,28421699,28790211,28949210,29079984,29124471,29164562,29334770,29584055,29592119,29720560,29740113,30152855,30460562,30490970,30562124,30570684,30724691,30790466,31396434,31737832,31857095,31961004,32040143,32107679,32261603,32272350,32455191,32714982,32722031,32935607,33108023,33435630,33533159,33543685,33558095,33593320,33912239,33923176,34380263,34423840,34739052,34902105,35115431,35201724,35255855,35400611,35500866,35586914,35664672,35705061,35821055,35881367,36183426,36358847,36589164,36595132,37029170,37228912,37424639,37577644,37622351,37792485,37867127,38078255,38089091,38123423,38147714,38163573,38180570,38228514,38564210,38724051,38726820,39131042,39860044,40122756,40252422,40269714,40295447,40311984,40524722,41145863,41245511,41308608,41550125,41663660,41882526,41941185,41944259,41973119,41992131,42014495,42307026,42506025,42544487,42882083,42985266,43264562,43986380,44116754,44415431,44435004,44621807,44737264,44843176,45339760,45350982,45432825,45562071,45627023,45693906,45816684,45910727,46015036,46277052,46472184,46672274,46712099,46746856,46994066,47176131,47558066,47607095,47919550,48123023,48297347,48461680,48463491,48621911,48726983,49353059,49426743,49428371,49684173,49843439,49860150,49996392,50098883,50117951,50329422,50417394,50448573,50499112,50573687,51007230,51027843,51125594,51166079,51251783,51306707,51941210,52278760,52281207,52590213,52783656,52899532,52925714,53176082,53184160,53303999,53447282,53463770,53503319,54146066,54270695,54407712,54519390,54969527,54981026,55840559,56028962,56154364,56245941,56434408,56455679,56811501,56907887,56942920,57031895,57128514,57164666,57503460,57583055,57892460,58154016,58276703,58507199,58813605,58814147,58937402,58952343,59147825,59381613,59426114,59444963,59502345,59653799,59832180,59920370,59946074,60057825,60067631,60091091,61113191,61168079,61208676,61314179,61337024,61471967,61876204,62095331,62276305,62329452,62527295,62734512,62949743,63469168,63488709,63592936,63651074,63668594,63820992,64060785,64061680,64156524,64208762,64505699,64516562,65064659,65124834,65194743,65423268,65562362,65602019,65935187,66017471,66115811,66642947,66731570,67134380,67667511,67941484,67942847,67997423,68101823,68159426,68331504,68438274,68456500,68996210,69004152,69099666,69153532,69220346,69470952,69509762,70504370,70576326,70836125,70964231,70977390,71040791,71311559,71402814,71542053,71557007,71798616,71904444,72069390,72093119,72107642,72421823,72673439,72869699,73773469,73950455,74165685,74363186,74698994,74731566,75032754,75236954,75570760,75709216,75712847,76148570,76353260,76484099,76745039,76872942,76874016,76966919,77185055,77214962,77340719,77535976,77538659,77629671,78022551,78154821,78269927,78323331,78364871,78876803,78924243,79110064,79112162,79520759,79578947,79714274,80060812,80077884,80220520,80230994,80561256,80650970,80683103,80773443,81020631,81438962,82099343,82120444,82147800,82149347,82283234,82342696,82463999,82511571,82795452,83688899,84020210,84247826,84432263,84605244,84699194,84718905,84814994,85003350,85017105,85172868,85357132,85471442,85587191,85747295,86092648,86102402,86362743,86483268,86520236,86843906,87227973,87273347,87382970,87528959,87624320,87641385,88195991,88631519,88740546,88966150,88998822,89667071,90245714,90248085,90366832,90406636,90500282,90584872,90631413,90642467,90670240,90684912,90825443,91082471,91168583,91259279,91378284,91623912,91631804,91812002,92187266,92416275,92509379,92622066,92635533,92636255,93484144,93646847,93717170,93733394,94114199,94258754,94285847,94405511,94676145,94917347,95204210,96236114,96264624,96320495,96737474,96740204,96781164,96854229,97008431,97061210,97064306,97103272,97454147,97795000,97982723,98211724,98366522,98417855,98429783,98577360,98790760,99228506,99299660,99534767,...,5922288318014140171377029389056470693626239492946630349156126295895438338889728070445977690180071097878799916857249068024064759131192935807946220923077129461285119957439093696694833098928937484074898972280934825992832510203489957924016149059215228389461999062620384606424920191081496765335446018445886265346357304471726780818353295585893406229063131628061457169795680591384466925141535110439320253186010607553066822347867298237113468002989606092747949908681362562034281019594961998163285251243943838419846369988815167883403746060820752805344046140299424143806201103308937050798048097482725188845591819033902297475207254790770813846077406423423563951086783750783734449138923219541027115601592442053402662242836123110604475887895333410866553808147747736709977215850206857359896029303535756700304572402687894888767652990077790694494043197144424832492220069506402390088438985829236514688654828287172072122391182917054193568050046883337838141619577751960183704721506719480509468554910515702609090728364961228934733952215169522785538282978148354814030975269032818662667829807907387540523569864227512896801665644434131117827013209819423241523402031305894488121623471960685688147682544087209613153760735639063758842643017315869520800517398216302178215029149980466994990892140196395425911592216456028565209547548060574823629040520413999168974679260722306860714186067292528391662329164710533409832184398648634774297196232040107146098230051888886442979245844205167831376294521054171062980685507996738058435738824973577742772436189694704057247029898236643581099201964464308338223598318542781527888778763839468965596145168917665006781097765084645316931604064869589123065970891276781201431645855566875126128524292020245996495079184639026984108823428141900868647927404949398696879366791392833222635419324006096817019642310034323972440808865921197344609032862021206667071240773758068312704120945573774496854061127216782856403532199356992058573002274221926395991522918931821931899437994566947446448260886910864242661823549150948980701694350159362509781529237819102415742822873973845542748316507381368459104054178261963321095809753388363850442951411206734633824453009109338393017014920944135547031983823040362825531513861916619944519386491882625799491042629271687963605684080135114185884377170661765541383437347720691445737174191116630664998086139726383116432125560385696543864342596303811743975977109473112300885040282587936426550203002870449249621120537639779827520744323892219085993423662528274187771528147529966937613333135362354558991106789489478865203483822894290455074621004532888090992504026704060515499302847720497169451066487547522712184036378851928777440937215375349911406640063713820638938772753287073697538033266976969092631953443645912212119030310478280429169534430226297081012975361024057522661140688801544796394131215087808587374919684679036803314157854301612598812456834956641641689414956986984586477343489244161630786046834847794338204034266757683101453992604957481541301738569315234388471863028179465628760305208638641312088976575887298962869955095223515285980023516679405044083332983779924826666468567113725579948}
19586  59460817502815875261190978337865070752755983685793851317668110823987282: {58749,274078,391540,469848,508846,528579,840349,861124,1212286,1541053,1602526,1680526,1799428,1890433,2006749,2054955,2070286,2122993,2191952,2268148,2446375,2465946,2703133,2935650,3050353,3131360,3165949,3204724,3237166,3522780,3757632,3858013,3935566,4168078,4227336,4400446,4755753,4942078,5328478,5348593,5574315,5784728,5868766,5945936,6032449,6100078,6331246,6485278,6486913,6507819,6689178,6713713,6982563,7023886,7053373,7166449,7279453,7484926,7638478,8175406,8312575,8390811,8799988,9444099,9524413,9705166,9975090,10640096,10845255,10924366,10968193,11242975,11392088,11520253,11568272,11582068,11630449,11833195,11970108,11987806,12215278,12259731,12324632,12459083,12728449,12816099,12963639,13014306,13350478,13491570,13577086,13710493,13769355,13865211,13892548,14199834,14331406,14391008,14687312,14814724,15118808,15384766,15549553,16049048,16135246,16189884,16523226,16941853,16958926,16978712,17008659,17706046,17798690,18055179,18203843,18282055,18702651,19101051,19165249,19195486,19689949,19794673,19990443,20212849,20323588,20774955,20826478,20837953,21084602,21204155,21253249,21358428,21618392,21694324,21712846,21938466,22100871,22159952,22606708,22923939,23131199,23414653,23470232,23720833,24320691,24395288,24929946,25319768,25426700,25444986,25454206,25618251,26005490,26017815,26025043,26347249,26404011,26425443,26447293,26946433,27444699,27752336,27770603,27840349,28484739,28728433,28924993,29219293,29394155,29507655,29586478,29682779,29708353,29805949,29933528,29946478,30120860,30291650,30449806,30512040,30766324,30777949,30854552,31024078,31164733,31167895,31206588,31221378,31250955,31357693,31474832,31831815,31955086,32117188,32546176,32575298,33025966,33044570,33176449,33271453,33334352,33675219,33914308,33953936,34326045,34711371,34969213,35259124,35272986,35275115,35298478,35409186,35436673,36005278,36145032,36349980,36551233,36614448,36851326,37062478,37150700,37288513,37380349,37401474,37501146,38198178,38202655,38213355,38256286,38294749,38386948,38773312,38832628,39081531,39145106,39237779,39292273,39305806,39375646,39562813,39652849,39653484,39672290,39951255,40351726,40459933,40663161,40760912,40769086,40903499,40905793,40994749,41191254,41463406,41861912,41991650,42330138,42403970,42432766,42614672,43029800,43123246,43273588,43282333,43423815,43543153,43619976,43674478,43746843,44002155,44062849,44186723,44568046,44580840,44705278,45008893,45185086,45350749,45690843,45691453,45736455,45743915,45843186,45856026,46185699,46318736,46536140,46756078,46935632,46960366,46972055,47094651,47334488,47436478,47552896,47606748,47794753,47941506,48210013,48244568,48408525,48454078,48785552,49072473,49117249,49380107,49603006,49805278,49825055,50007406,50015773,50153445,50389980,50663773,50884764,50971352,51226993,51632068,51635760,52025473,52079575,52108578,52621966,52659073,52688686,52802586,53098331,53131249,53251299,53380371,53497008,53669896,53692952,53749312,53820478,53912449,53990173,54275139,54382603,54883746,54892698,54982975,55013806,55078144,55535522,55543755,55643819,55674526,55843368,55921580,55989508,56053970,56147039,56288413,56366466,56409368,56514673,56596846,56665153,56674700,57221571,57270855,57313688,57342771,57450478,57518795,57710449,57778078,57846315,57974446,58090230,58432078,58433570,58448449,58696563,58741633,58887793,59106493,59246672,59605246,59614273,59790066,60184134,60378633,60404571,60467976,60547933,60577100,60578926,60619249,60749428,60787083,60925208,61088912,61257853,61398973,61484446,61680349,61702736,61871566,61960573,61962912,62120839,62322478,62378749,62495490,62656093,62746151,62823789,62901508,63123890,63286078,63412849,63460539,64054366,64160893,64477899,64617988,64756606,64896843,65348450,65432449,65520478,65696833,65902324,65979570,66025693,66124415,66175131,66245564,66282046,66472078,66480200,66652506,66661856,67105896,67223192,67230766,67264764,67323133,67843979,68009640,68024449,68026473,68037124,68540859,68725026,68966749,69022554,69221306,69339133,69415578,69524353,69585949,69708276,69930478,70008411,70120284,70192955,70378208,70429486,70491099,70543010,70561693,70678606,70862833,71178650,71337099,71879325,71990749,72049859,72283249,72365575,72515953,72543616,72692520,72862849,73032478,73149949,73832446,73944253,74502973,74613853,74690926,74779633,74790225,74994588,75057886,75331067,75494133,75626091,75748668,76171352,76510845,76671280,76688391,76702078,76718449,76928113,76980349,77292253,77345255,77498749,77538688,77791726,77911815,77959153,78033166,78418140,78513949,78515278,78603124,78763249,79010749,79070978,79175484,79261763,79296526,79336460,79349298,79388571,79491170,79764123,79776240,79790653,80077100,80170923,80173693,80195655,80410753,81157249,81219099,81611568,81779085,81798626,81802078,81920686,82064449,82276126,82471539,82985278,83105936,83328733,83540593,83646016,83868478,83917975,83958913,84043443,84165373,84231546,84455278,84572893,84651612,84748078,84926855,84965363,85094656,85405249,85414380,85542032,85560193,85570625,85692771,85746999,85752253,85828573,86205853,86255190,86322286,86441915,86539249,86580923,86670526,86721949,86833112,86838690,86902366,86926324,87076078,87081949,87117553,87231024,87434749,87814513,87916573,88057726,88085233,88318333,88364402,88406103,88482673,88805953,88920046,89059393,89139171,89215453,89246449,89400349,89664478,89672833,89732593,89748270,89851249,89858714,89880555,89919111,89950078,90121246,90223348,90538993,90594433,90690766,90813313,90867313,91108672,91251032,91518013,91542046,91617949,91624379,91741249,91765693,91813014,92005536,92132888,92193373,92333326,92627936,92662849,92671486,92814306,92896093,92999233,93469249,93494178,93580273,93634813,93759553,93906478,93931633,94101768,94144573,94300093,94330333,94463450,94477213,94547953,94589533,94636520,94657393,94749373,95018066,95022478,95037949,95145949,95156353,95189326,95203752,95389404,95434993,95441575,95459293,95467249,95476611,95498353,95502891,95535613,95642749,95678173,95700349,95721431,95731488,95842333,95870449,95872573,95872592,95889853,95902273,96092520,96234786,96313143,96361979,96774843,96919970,97510078,97687251,98134902,98222686,98260043,98343543,98887580,99642088,99802606,...,8883432477021210257065544083584706040439359239419945523734189443843157508334592105668966535270106646818199875285873602036097138696789403711919331384615694191927679936158640545042249648393406226112348458421402238989248765305234936886024223588822842584192998593930576909637380286622245148003169027668829398019535956707590171227529943378840109343594697442092185754693520887076700387712302665658980379779015911329600233521800947355670202004484409139121924863022043843051421529392442997244927876865915757629769554983222751825105619091231129208016069210449136215709301654963405576197072146224087783268387728550853446212810882186156220769116109635135345926630175626175601673708384829311540673402388663080103993364254184665906713831843000116299830712221621605064965823775310286039844043955303635050456858604031842333151479485116686041741064795716637248738330104259603585132658478743854772032982242430758108183586774375581290352075070325006757212429366627940275557082260079220764202832365773553913636092547441843402100928322754284178307424467222532221046462903549227994001744711861081310785354796341269345202498466651196676740519814729134862285103046958841732182435207941028532221523816130814419730641103458595638263964525973804281200776097324453267322543724970700492486338210294593138867388324684042847814321322090862235443560780620998753462018891083460291071279100938792587493493747065800114748276597972952161445794348060160719147345077833329664468868766307751747064441781581256594471028261995107087653608237460366614158654284542056085870544847354965371648802946696462507335397477814172291833168145759203448394217753376497510171646647626967975397406097304383684598956336915171802147468783350312689192786438030368994742618776958540476163235142212851302971891107424098045319050187089249833953128986009145225529463465051485958661213298881796016913549293031810000606861160637102469056181418360661745281091690825174284605298299035488087859503411332889593987284378397732897849156991850421169672391330366296363992735323726423471052541525239043764672293856728653623614234310960768314122474761072052688656081267392944981643714630082545775664427116810101950736679513664007589525522381416203320547975734560544238297270792874929916779079737823938699236563943907531945408526120202671278826565755992648312075156021581037168605761286674945997497129209589574674648188340578544815796513894455717615963965664209668451327560423881904639825304504305673874431680806459669741281116485838328628990135493792411281657292221294950406419999703043531838486660184234218297805225734341435682611931506799332136488756040056090773248954271580745754176599731321284068276054568277893166161405823063024867109960095570730958408159129930610546307049900465453638947930165468868318178545465717420643754301645339445621519463041536086283991711033202317194591196822631712881062379527018555204971236781452418898218685252434962462534122435480476879716015233866242446179070252271691507306051400136524652180988907436222311952607853972851582707794542269198443140457812957961968133464863830948444304932642835272928970035275019107566124999475669887239999702850670588369922}
19587  59693841614036571087518410732943264625865624161776031066191525262502074: {78332,411117,489425,587310,626464,704772,763269,1076405,1291686,1818429,1917958,2249285,2403789,2520789,2699142,2739940,2835185,3105429,3287928,3402222,3657533,3698919,3914200,4005905,4403475,4697040,4807086,4855749,4946909,5010176,5061637,5202694,5284170,5636448,5650817,5903349,6252117,6341004,6600669,6610942,7230910,7413117,7432420,7875829,7992717,8677092,8803149,8918904,9150117,9310084,9496869,9633713,9659182,9727917,9968077,10033767,10122238,10337189,10535829,10784053,10917829,10999985,11187748,11227389,11457717,12263109,12592132,12851398,13199982,13228957,13300120,13328326,13730293,14042917,14240110,14460340,14477585,14557749,14735422,14856373,14962635,15405790,15750046,15960144,16346308,16386549,16990597,17080582,17088132,17284852,17352408,17365685,17373102,17955162,17981709,17988760,18322917,18359140,18476326,18486948,18506449,18518405,18898510,18916093,18933112,19389958,19521459,20025717,20061310,20237355,20365629,20536453,20820046,20838822,21223390,21299751,21345877,21497109,21586512,22030968,22154797,22222086,22608613,22678212,22915013,23077149,24073572,24192509,24202869,24283294,24284826,24560497,24569998,24784839,24824773,24936868,25404485,25438389,25468068,26071669,26191837,26559069,26653924,26698035,26997733,27022990,27117905,27540478,27699940,27851206,28258385,28477904,28753318,28793229,29167558,29251288,29252989,29337790,29467828,29709694,30485382,30494110,30565252,31035637,31239717,31318606,31626903,31649710,31783375,31840853,32037642,32106997,32427588,32541486,32569269,32907699,33239928,33428273,33910062,33926648,34157668,34690420,35205348,35233924,35403197,35665798,35885053,35998846,36057349,36592932,36629173,36923909,37287838,37376897,37394919,37416910,37651075,37979652,38127349,38140050,38167479,38181309,38457905,38568190,39008235,39343540,39630097,40146485,40457518,40478653,40528894,40682720,41068678,41417677,41563918,41608784,41628504,41667940,41994293,42057262,42213997,42392885,42442420,42687358,43734694,43986673,44073905,44090029,44121286,44379717,44423278,44599933,44900292,44919717,45083662,45181290,45212549,45259457,45437475,45674709,45768060,46149486,46281828,46438375,46536117,46809882,46832067,46911133,46961159,46981333,47030648,47212248,47699173,47883677,47932629,47983685,48175782,48193376,48298357,48466640,48540785,48626929,48819264,48862947,49193393,49358197,49538949,49566855,49868632,50001528,50149477,50249489,50871462,50930904,50951140,51103909,51130846,51311989,51840838,52108708,52137982,52327390,52347454,52607377,52871312,52888686,52909479,52947717,53113779,53268340,53309557,53452798,53787250,53989894,54007917,54091985,54217548,54334918,54524970,54614813,54719806,54921672,55085117,55158142,55276989,55593717,55707373,55726050,56102211,56113237,56251719,56440184,56843398,56913733,56989553,57297267,57384429,57580422,57898420,58159968,58170175,58248942,58329124,58551629,58669540,58717659,58820293,58958709,59006813,59063469,59168110,59184238,59441120,59480226,59508435,60305710,60527589,60570289,60921124,60981940,61119469,61124248,61141368,61153629,61214477,61449382,61580932,61786881,62195109,62792868,62923613,62987475,63475664,63495207,63605955,63649149,63714190,63922008,64080286,64215358,64523206,64540085,64544700,64684869,64880177,64910382,64968053,65429964,65444062,65511717,65711413,65871214,66216046,66232589,66649933,66671893,66852069,66871260,67057917,67066318,67087370,67116190,67156133,67186640,67771589,67777629,67824478,67846352,68760526,68764779,68784039,68847680,69478104,69804210,69901975,69986885,70134117,70230862,70403448,70440549,70511710,70801222,70843375,70998593,71001732,71154717,71173828,71329344,71410122,71642110,71762734,71912259,72366852,72681117,72717694,73178328,73190264,73239269,73803173,74058340,74112517,74404509,74457824,74707917,74849278,75011109,75155288,75244702,75584970,75721375,75734254,75901757,75936785,75978973,76156510,76178182,76246846,76295428,76327146,76361140,76457028,76491973,76894597,77128420,77156789,77159633,77448102,77453640,78162867,78262084,78405553,78626885,78932949,79033029,79203879,79720088,79844653,80245512,80504844,80539428,80590894,80616277,80623968,80730717,80772485,81049444,81113437,81505373,82291726,82325619,82339047,82377905,82434173,82491022,82520709,82617216,82806955,83100250,83303283,83327320,83511789,83667853,83765052,83882370,83888518,83946238,83984262,84028990,84080955,84277297,84549699,84614052,84895269,85012050,85046405,85088974,85105589,85764166,85970532,86104189,86175717,86529124,86667117,86961669,87135345,87186827,87538213,87648117,87650355,87972760,88233508,88263473,88294613,88830862,88870008,89243614,89407869,89474528,89685099,89686352,90033089,90276201,90679520,90701964,90865650,90868389,91124142,91254046,91268677,91387812,91633368,91636597,91821454,92030072,92143553,92226669,92554104,92807349,92944368,93344548,93424198,93483717,93493712,93715093,93743235,93910613,93988132,94352262,94685835,94929117,95115277,95116132,95214190,95839100,96081549,96246046,96594694,96923360,96926982,97134909,97243822,97453966,97728557,98022675,98253905,98280717,98706118,98853486,98856742,98969355,99170575,99368346,99423069,99686878,99708117,99720300,99978759,99992784,...,13325148715531815385598316125377059060659038859129918285601284165764736262501888158503449802905159970227299812928810403054145708045184105567878997076923541287891519904237960817563374472590109339168522687632103358483873147957852405329036335383234263876289497890895865364456070429933367722004753541503244097029303935061385256841294915068260164015392046163138278632040281330615050581568453998488470569668523866994400350282701421033505303006726613708682887294533065764577132294088664495867391815298873636444654332474834127737658428636846693812024103815673704323563952482445108364295608219336131674902581592826280169319216323279234331153674164452703018889945263439263402510562577243967311010103582994620155990046381276998860070747764500174449746068332432407597448735662965429059766065932955452575685287906047763499727219227675029062611597193574955873107495156389405377698987718115782158049473363646137162275380161563371935528112605487510135818644049941910413335623390118831146304248548660330870454138821162765103151392484131426267461136700833798331569694355323841991002617067791621966178032194511904017803747699976795015110779722093702293427654570438262598273652811911542798332285724196221629595961655187893457395946788960706421801164145986679900983815587456050738729507315441889708301082487026064271721481983136293353165341170931498130193028336625190436606918651408188881240240620598700172122414896959428242168691522090241078721017616749994496703303149461627620596662672371884891706542392992660631480412356190549921237981426813084128805817271032448057473204420044693761003096216721258437749752218638805172591326630064746265257469971440451963096109145956575526898434505372757703221203175025469033789179657045553492113928165437810714244852713319276954457836661136147067978575280633874750929693479013717838294195197577228937991819948322694025370323939547715000910291740955653703584272127540992617921637536237761426907947448553232131789255116999334390980926567596599346773735487775631754508586995549444545989102985589635206578812287858565647008440785092980435421351466441152471183712141608079032984121901089417472465571945123818663496640675215152926105019270496011384288283572124304980821963601840816357445906189312394875168619606735908048854845915861297918112789180304006918239848633988972468112734032371555752908641930012418996245693814384362011972282510867817223694770841683576423945948496314502676991340635822856959737956756458510811647521209689504611921674728757492943485203240688616922485938331942425609629999554565297757729990276351327446707838601512153523917897260198998204733134060084136159873431407371118631264899596981926102414081852416839749242108734594537300664940143356096437612238694895915819460574850698180458421895248203302477267818198576130965631452468009168432279194562304129425987566549803475791886795233947569321593569290527832807456855172178628347328027878652443693801183653220715319574022850799363669268605378407537260959077100204786978271483361154333467928911780959277374061691813403797664710686719436942952200197295746422666457398964252909393455052912528661349187499213504830859999554276005882554883}
19588  59927772451780978739182927622453173247633463461145370665424742484322581: {97915,117498,215347,332707,548156,567211,783080,880965,918427,939696,1017692,1057158,1680698,1722248,1937529,2424572,2548867,2876937,3082106,3205052,3243307,3361052,3424925,3598856,3780866,3820027,4013498,4048713,4109910,4140572,4245986,4383904,4536296,4892750,4931892,5103333,5196811,5406266,5871300,6100706,6262720,6331898,6409448,6474332,7045560,7210629,7515264,7716026,7804041,7871132,7926255,8256667,8336156,8454672,8593411,8800892,8929507,9290525,9511506,9711211,9884156,9916413,10600267,10656956,10697186,10846365,11148630,11153587,11569456,11637605,11737532,11891872,12064898,12145027,12200156,12662492,12802747,12970556,12973826,13015638,13378356,13427426,13566811,13965126,13984685,14047772,14106746,14332898,14488773,14558906,14969852,15183357,15276956,15730411,15740165,16052467,16350812,16566473,16587787,16625150,16781622,17599976,18075425,18077107,18888198,19048826,19277097,19410332,19447411,19799973,19950180,19992489,20432885,21280192,21360165,21606065,21690510,21841987,21848732,21936386,22103133,22357507,22485950,22784176,22948925,23040506,23076211,23108685,23136544,23164136,23260898,23383147,23625069,23666390,23791387,23940216,23975612,24096811,24430556,24519462,24649264,24918166,25456898,25594877,25620873,25632198,25927278,26028612,26059653,26116411,26700956,26932743,26983140,27115411,27154172,27314347,27420986,27538710,27714489,27730422,27785096,28347765,28399668,28662812,28782016,28797187,28895467,29084937,29374624,29629448,29685817,29874307,30091965,30237616,30361027,30756869,30769532,31099106,31171085,31230069,31258233,31835085,32098096,32270492,32379768,33046452,33317405,33333129,33717667,33883706,33917852,33957424,34017318,34095667,34624925,34848211,35412092,35597380,36110358,36246811,36407686,36424941,36427239,36564110,36709411,36834785,36854997,36893947,37405302,38202102,38206565,38330498,38390972,38814187,39266707,39379898,39589346,39717427,39980886,40425698,40534485,40613467,40647176,40969867,41151817,41236411,41310717,41549910,41652956,41675906,41776809,42169204,42408310,42506498,42697085,42716856,43129977,43236784,43363025,43388648,43425692,43635053,43751337,43876932,44006685,44042405,44201742,44298211,44319904,44564541,44985667,45213416,45412987,45583411,45728073,45741165,45847878,46262398,46684147,46829306,46940464,46977909,47020387,47441666,47474565,48056463,48353827,48641382,48766747,48790576,48812229,48931411,49177867,49179425,49341811,49385161,49859892,50319427,50639536,50853400,50865093,50889972,50908412,51236502,51606787,52005307,52010980,52035630,52050086,52084925,52694498,52808022,52850886,52894586,53053025,53483717,53498697,53892866,53998269,54388169,54513211,54667507,54889398,55504672,55541206,55663411,55680698,55815547,55931757,56125365,56194627,56647147,56969478,57210075,57321067,57456866,57767107,57849986,57852285,58438586,58788310,58797787,59015310,59172956,59365558,59416706,59611898,59742211,59867056,59892956,59958427,60241720,60245707,60583300,60603187,60686277,60793341,60899612,61024080,61383307,61532648,61555898,61603017,61709104,61735027,62048156,62127197,62329466,62335790,62345877,62413176,62433067,62442756,62501910,62571811,62715386,62752573,62949664,63085893,63398227,63663630,63688925,63807547,63910172,64031037,64041481,64234376,64270349,64752547,64953211,65092352,65135885,65150596,65286211,65602041,65617411,65760877,66051932,66089140,66181929,66352898,66542906,66585425,66634917,66668704,67350438,67374787,67438867,67625493,67694467,67771935,67828616,67907872,68652090,69224229,69327787,69422742,69429173,69451411,69755077,69881827,69938426,70187107,70214823,70518248,70545972,70550230,70596956,70818372,70873346,71151907,71686507,71863411,72010556,72156811,72263673,72273667,72290064,72373025,72622507,72699960,72911405,73102466,73228896,73312411,73336925,73415537,73426387,73702652,73879411,74124956,74301400,74577026,74760698,74802948,75002292,75374347,76151405,76227425,76307193,76396356,76405310,76426710,76447867,76512572,76589498,76696269,76773896,76976165,77492587,77544067,77546624,77665256,77749267,77761257,78163062,78206973,78257227,78290212,78475558,78491085,78521181,78584546,78611612,78751292,78807667,79125626,79251547,79305698,79306968,79333029,79344580,79902510,80026267,80179197,80501107,80526313,80595211,80680875,80703452,80735827,80919866,80984841,81061411,81326322,81502377,81521824,81538172,81611347,81787455,81806998,81811586,81989498,82079709,82195411,82284187,82382508,82504867,82737213,82926812,83156107,83412067,83589075,83723824,83916211,83983300,84123211,84660276,84807940,84865532,85229344,85265097,85405387,85599067,86059600,86246492,86281411,86370633,86547176,86564666,86832211,86847630,87086306,87239952,87348956,87373413,87493686,87541411,87645307,87817027,87986947,88004310,88125698,88221811,88373446,88713211,88752165,88776357,88936987,88967285,89125987,89136092,89161680,89220339,89250547,89410556,89737267,89944411,90017786,90370172,90458565,90572467,90600187,90701498,90737707,90873427,91007347,91139467,91321411,91381686,91382906,91472910,91487830,91499827,91686372,91712052,91773067,92174073,92361667,92371398,92572925,92574181,92637472,92736211,92842411,92946811,93072280,93110107,93441811,93498187,93512156,93871264,93920732,93944110,94059211,94189302,94250587,94518211,94668976,94723411,94813627,94872956,94948267,95029411,95105792,95213496,95290411,95337211,95369285,95382211,95451425,95521747,95571285,95589506,95634067,95717227,95748547,95781811,95794987,95834227,95847907,95863387,95883012,95920411,96120429,96323037,96410525,96420026,96489136,96784809,96817050,96908156,97365573,97571104,97827605,98144946,98166093,98234498,98270137,98760214,98806821,99206012,99324069,99610556,99650110,...,17766864954042420514131088167169412080878718478839891047468378887686315016669184211337933070540213293636399750571747204072194277393578807423838662769231388383855359872317281090084499296786812452224696916842804477978497530610469873772048447177645685168385997187861153819274760573244490296006338055337658796039071913415180342455059886757680218687189394884184371509387041774153400775424605331317960759558031822659200467043601894711340404008968818278243849726044087686102843058784885994489855753731831515259539109966445503650211238182462258416032138420898272431418603309926811152394144292448175566536775457101706892425621764372312441538232219270270691853260351252351203347416769658623081346804777326160207986728508369331813427663686000232599661424443243210129931647550620572079688087910607270100913717208063684666302958970233372083482129591433274497476660208519207170265316957487709544065964484861516216367173548751162580704150140650013514424858733255880551114164520158441528405664731547107827272185094883686804201856645508568356614848934445064442092925807098455988003489423722162621570709592682538690404996933302393353481039629458269724570206093917683464364870415882057064443047632261628839461282206917191276527929051947608562401552194648906534645087449941400984972676420589186277734776649368085695628642644181724470887121561241997506924037782166920582142558201877585174986987494131600229496553195945904322891588696120321438294690155666659328937737532615503494128883563162513188942056523990214175307216474920733228317308569084112171741089694709930743297605893392925014670794955628344583666336291518406896788435506752995020343293295253935950794812194608767369197912673830343604294937566700625378385572876060737989485237553917080952326470284425702605943782214848196090638100374178499667906257972018290451058926930102971917322426597763592033827098586063620001213722321274204938112362836721323490562183381650348569210596598070976175719006822665779187974568756795465795698313983700842339344782660732592727985470647452846942105083050478087529344587713457307247228468621921536628244949522144105377312162534785889963287429260165091551328854233620203901473359027328015179051044762832406641095951469121088476594541585749859833558159475647877398473127887815063890817052240405342557653131511985296624150312043162074337211522573349891994994258419179149349296376681157089631593027788911435231927931328419336902655120847763809279650609008611347748863361612919339482562232971676657257980270987584822563314584442589900812839999406087063676973320368468436595610451468682871365223863013598664272977512080112181546497908543161491508353199462642568136552109136555786332322811646126049734219920191141461916816318259861221092614099800930907277895860330937736636357090931434841287508603290678891243038926083072172567983422066404634389182393645263425762124759054037110409942473562904837796437370504869924925068244870960953759432030467732484892358140504543383014612102800273049304361977814872444623905215707945703165415589084538396886280915625915923936266929727661896888609865285670545857940070550038215132249998951339774479999405701341176739844}
19589  60162613519162573229534277298211443401739290039661661672181056916712213: {156664,176247,685195,822234,978850,1174620,1252928,1272115,1409544,1506967,1526538,1585737,2152810,2521047,2583372,3030715,3148999,3636858,3835916,3969259,4006315,4087831,4201315,4322539,4498570,4623159,4807578,5041578,5175715,5398284,5479880,5608267,5670370,5671299,5846347,6020247,6164865,6210858,6315619,6368979,6575856,6804444,7315066,7339125,7397838,7828400,7953187,8011810,8092915,8109399,8806950,9151059,9394080,9497847,9614172,9634699,9711498,9838915,9893818,10020352,10097527,10123274,10298107,10338247,10405388,10420195,10568340,10767091,11001115,11272896,11301634,11574039,11806698,12355195,12504234,12682008,13201338,13221884,13321195,13613107,14267259,14461820,14671915,14826234,14864840,15234967,15250195,15399979,15751658,15828115,15985434,16045779,16213195,16425571,16722945,17354184,17559715,17606298,17837808,18097347,18300234,18620168,18712315,18993738,19079731,19096195,19267426,19318364,19455834,19460739,19523457,19936154,20067534,20141139,20244476,20268619,20438515,20674378,20947689,21071658,21160119,21499347,21568106,21638947,21835658,21838359,21999970,22375496,22454778,22915434,22917367,23343331,23537707,24262915,24311959,24526218,24937725,25172433,25184264,25702796,25925767,26399964,26457914,26470999,26600240,26656652,27081379,27310915,27460586,27498979,28023127,28085834,28332297,28480220,28573239,28591147,28920680,28955170,29115498,29297587,29470844,29477779,29712746,29925270,29969515,29982259,30538195,30811580,31500092,31844131,31920288,32268247,32535765,32692616,32773098,32791267,32904579,33366211,33376195,33431707,33540067,33728925,33942715,33981194,34090219,34161164,34176264,34560759,34569704,34704816,34731370,34746204,34891347,35499585,35566279,35828515,35910324,35963418,35977520,36064939,36645834,36718280,36779193,36952652,36973896,37012898,37036810,37193047,37361011,37377249,37578427,37630099,37797020,37832186,37866224,37965067,38185347,38448297,38461915,38779916,38890917,39042918,39561739,39568279,39869419,40051434,40122620,40127851,40338115,40474710,40731258,40732087,41072906,41131479,41308065,41595633,41640092,41677644,41774179,41998627,42397315,42420631,42446780,42599502,42691754,42994218,43173024,43295107,43435339,43637347,44061936,44265115,44309594,44444172,44496725,45217226,45356424,45830026,45920179,46107847,46154298,46648659,46881139,47143891,47988715,48147144,48385018,48405738,48547099,48566588,48569652,48778699,49120994,49139996,49198459,49569678,49629619,49649546,49853707,49873736,50254651,50584099,50808970,50825559,50876778,50936136,51025977,52066195,52143338,52383674,52711505,53118138,53307848,53396070,53714971,53841067,53995466,54026359,54045980,54165537,54235810,54282115,54611529,54727747,54749419,54846165,54980851,55080956,55399880,55702412,56107953,56205079,56516770,56697547,56955808,57135331,57303153,57495747,57506636,57586458,58118059,58335116,58502576,58505978,58675580,58810147,58935656,59069847,59350039,59384019,59419388,59666107,59789299,59971329,60638547,60904579,60919867,60970764,60988220,61130504,61220779,61565719,61703467,62071274,62108119,62324865,62479434,62513859,62637212,62930107,63060091,63253806,63299420,63566750,63582499,63612465,63635515,63681706,63727819,63759747,64075284,64091659,64213994,64544779,64855176,64974727,65013725,65082972,65138538,65538859,65815398,65912407,65948791,66302613,66479856,66542059,66798139,66856546,67177159,67778551,67820124,67853296,67957099,68315336,68771817,69134419,69380840,69393597,69463447,70068931,70243959,70326391,70410696,70467848,70806394,71162499,71331596,71571739,71770106,71997692,72114698,72266119,72513139,72741847,72962073,73185864,73258346,73404727,73810771,73847818,73966195,74461939,74575676,74753794,74789838,74833820,74866195,75302150,75302347,75728779,75729125,75895831,75959304,76124515,76254698,76280100,76334958,76362618,76854753,76915810,76937239,77136380,77167579,77554807,77560195,78016470,78053445,78075129,78286051,78549979,78687080,78893047,79041747,79212033,79260194,79276329,79341879,79366339,79816279,79887715,80292970,80530027,80839299,80915036,80957306,81057788,81365440,81438245,81466459,82137356,82334097,82480987,82564915,82611425,82835354,83127836,83217568,83257008,83311809,83335880,83521047,83763427,83801299,83988586,84114524,84268267,84427994,84785770,84884840,85287667,85374716,85454217,85996747,86185299,86330539,86774979,87469388,87657879,87973346,88147810,88180058,88182465,88242572,88246195,88341859,88522965,88716067,88759434,88846556,88919707,89048337,89125059,89199866,89417847,89800584,89839434,90013195,90167324,90356119,90362580,90425098,90518914,90874950,91349418,91536120,91731499,92128315,92132311,92286427,92298972,92333847,92422231,92563656,92656195,92799379,92876750,93072234,93494199,93503685,93619764,93664134,93752865,93822266,93922318,93962666,94061296,94073079,94133587,94424496,94424947,95231959,95398346,95495445,95640715,95767354,95865258,95967370,96121267,96351564,96386752,96596714,96933280,97081570,97253858,97264579,97638528,97725894,97862765,97981639,98032327,98264515,98386786,98439115,98647411,98716394,99077898,99133710,99180725,99529347,99555259,99737264,99814359,...,26650297431063630771196632250754118121318077718259836571202568331529472525003776317006899605810319940454599625857620806108291416090368211135757994153847082575783039808475921635126748945180218678337045375264206716967746295915704810658072670766468527752578995781791730728912140859866735444009507083006488194058607870122770513682589830136520328030784092326276557264080562661230101163136907996976941139337047733988800700565402842067010606013453227417365774589066131529154264588177328991734783630597747272889308664949668255475316857273693387624048207631347408647127904964890216728591216438672263349805163185652560338638432646558468662307348328905406037779890526878526805021125154487934622020207165989240311980092762553997720141495529000348899492136664864815194897471325930858119532131865910905151370575812095526999454438455350058125223194387149911746214990312778810755397975436231564316098946727292274324550760323126743871056225210975020271637288099883820826671246780237662292608497097320661740908277642325530206302784968262852534922273401667596663139388710647683982005234135583243932356064389023808035607495399953590030221559444187404586855309140876525196547305623823085596664571448392443259191923310375786914791893577921412843602328291973359801967631174912101477459014630883779416602164974052128543442963966272586706330682341862996260386056673250380873213837302816377762480481241197400344244829793918856484337383044180482157442035233499988993406606298923255241193325344743769783413084785985321262960824712381099842475962853626168257611634542064896114946408840089387522006192433442516875499504437277610345182653260129492530514939942880903926192218291913151053796869010745515406442406350050938067578359314091106984227856330875621428489705426638553908915673322272294135957150561267749501859386958027435676588390395154457875983639896645388050740647879095430001820583481911307407168544255081985235843275072475522853815894897106464263578510233998668781961853135193198693547470975551263509017173991098889091978205971179270413157624575717131294016881570185960870842702932882304942367424283216158065968243802178834944931143890247637326993281350430305852210038540992022768576567144248609961643927203681632714891812378624789750337239213471816097709691831722595836225578360608013836479697267977944936225468064743111505817283860024837992491387628768724023944565021735634447389541683367152847891896992629005353982681271645713919475913512917021623295042419379009223843349457514985886970406481377233844971876663884851219259999109130595515459980552702654893415677203024307047835794520397996409466268120168272319746862814742237262529799193963852204828163704833679498484217469189074601329880286712192875224477389791831638921149701396360916843790496406604954535636397152261931262904936018336864558389124608258851975133099606951583773590467895138643187138581055665614913710344357256694656055757304887387602367306441430639148045701598727338537210756815074521918154200409573956542966722308666935857823561918554748123383626807595329421373438873885904400394591492845332914797928505818786910105825057322698374998427009661719999108552011765109766}
19590  60398368332732735503008163909093475070673627931866580126946953455360814: {137081,195830,234996,254501,371849,430694,606329,665414,723461,918521,1096312,1134422,1152329,1233351,1468275,1566160,1619081,1735589,1761930,1836854,1879392,1968389,2035384,2084681,2114316,2200901,2289807,2471801,2896709,3050981,3166601,3229215,3243641,3359141,3361396,3444496,3858809,3875058,4088969,4794895,4849144,4968581,5097734,5235449,5425829,5455287,5753874,6109541,6164212,6374729,6410104,6486614,6722104,6747855,6790661,6849850,6903929,7197712,7211367,7280969,7356281,7561732,7562367,7640054,7845029,8026996,8097426,8219820,8281144,8294981,8491972,8505555,8594309,8767808,9072592,9316287,9600761,9712229,9785500,9863784,9934949,10206666,10393622,10812532,10970501,10972599,11096757,11706341,11742600,11963129,12017715,12182921,12201412,12525440,12663796,12731141,12804101,12818896,12948664,13006735,13059209,13210425,14091120,14148089,14421258,14567247,14797961,14840727,14978021,15030528,15184911,15432052,15608082,15742264,15852510,16089929,16292647,16411301,16513334,16527355,16672312,16909344,16952451,17016569,17158649,17186822,17336069,17601784,17710047,17761061,17859014,18077275,18537221,18581050,18756351,19023012,19422422,19449509,19484489,19578559,19768312,19798949,19802007,19832826,20112761,20286821,20495429,20842469,21200534,21223289,21313912,21394372,21430601,21692730,21947621,22036231,22239351,22297260,22307174,22462841,22702661,22907909,23138912,23275210,23385701,23419769,23475064,23487881,23589989,23627487,23783744,23793989,23827961,23978151,24129796,24133349,24147955,24290054,24400312,24809669,24910841,25011941,25305595,25324984,25449209,25605494,25617029,25941112,25947652,26031276,26252921,26409447,26453129,26653049,26756712,26854852,27018821,27133622,27450351,27648329,27846521,27930252,27945509,27969370,28095544,28213492,28490607,28606039,28665796,28800389,28901139,28931429,28977546,28996901,29095049,29117812,29183751,29877641,29904231,29910149,29939704,30101301,30248491,30366714,30396809,30553912,30558629,31011567,31268261,31460822,31480330,31607487,31749881,32037989,32104934,32128495,32352159,32701624,32753487,32993669,32999955,33132946,33175574,33247301,33250300,33320815,33563244,33682167,33721481,34099529,34130981,34373151,35070821,35199952,35351369,35444741,35600275,35786489,36150850,36154214,36349027,36436229,36713609,36789327,36838555,36928901,37358309,37776396,38097652,38303561,38364281,38455301,38514475,38554194,38820664,38848889,38894822,39301349,39361541,39375115,39599946,39686871,39722021,39900360,39984978,40260581,40528889,40865770,40974629,41004281,41190879,41241209,41595641,42128751,42242441,42330341,42560384,42701455,42720330,43212130,43350521,43381020,43432755,43437509,43553381,43639519,43673247,43683974,43697464,43871369,43872772,44206266,44303429,44569119,44715014,44848121,44887905,44971900,45019529,45076601,45418361,45446789,45568352,45702281,45758969,45872249,45897850,46081012,46152422,46190815,46217370,46273088,46328272,46521796,46549241,46644367,46766294,47053961,47246275,47250138,47332780,47582774,47611721,47861669,47880432,47951224,48193622,48221561,48359621,48474895,48635141,48861112,48937289,49038924,49159647,49183781,49298528,49375049,49836332,50082041,50153275,50271461,50595269,50913796,50971791,51189754,51239429,51241746,51264396,51568699,51613061,51854556,51958601,52038149,52050115,52057224,52097055,52119306,52232822,52566629,52724549,52829669,53058475,53118089,53196581,53379449,53401912,53489191,53865486,53945127,53966280,54055241,54230822,54308344,54519929,54545669,54628694,54699941,54841972,54968751,55077420,55135481,55428978,55460844,55519347,55555215,55570192,55670309,55847801,56302409,56528741,56654201,56679269,56695530,56729381,56748279,56799336,57029381,57325624,57353081,57564032,57594374,57774341,57790934,57947129,58169874,58438649,58512101,58564377,58749248,58805189,58902629,59258896,59371634,59605241,59748614,59775919,59918021,60037961,60077151,60183930,60277241,60475232,60610889,60634661,60708235,60712065,60722054,60753401,61096887,61273481,61320569,61414649,61424995,61461641,61513738,61532069,61539064,61609359,61659367,61696121,61742921,62198212,62232389,62342170,62441081,62460138,62516466,62602949,62925509,63269369,63429221,63670170,63838469,63899253,63951689,64037631,64196192,64276927,64380101,64491327,64540984,64759536,64827941,64961669,64983929,65095109,65294729,65316869,65427449,65559881,66043001,66092904,66283109,66370181,66435401,66464391,66543941,66634810,66666258,66738809,66803621,67276709,67383689,67435334,67557475,67724681,67767412,67825839,67835704,67914848,67979081,68034636,68042501,68084741,68191334,68745039,68851195,69171749,69231447,69249850,69357689,69398921,69436279,69481289,69628015,69696422,70013561,70196549,70216841,70580729,70824184,70922021,71194760,71300729,71755301,71883295,72220716,72302981,72341861,72477689,72493622,72535781,72577527,72608607,72651749,72815372,72849882,72854478,72918895,72940409,73128220,73322489,73344475,73418822,73423051,73669570,73681491,73709994,73776761,73787894,73908389,74274235,74354517,74393861,74474319,74523641,74560649,74634569,74726789,74810604,75710021,75817829,75955867,76157321,76213455,76235275,76315167,76404204,76413130,76564421,76660996,76740101,76775141,76781944,76897529,76949861,76984709,77348681,77520761,77555081,77597311,77628374,77657849,77981381,78184229,78215007,78268409,78296515,78533414,78536441,78575511,78759796,78818981,78835529,78918149,79033481,79082789,79124275,79178692,79262969,79311941,79434854,79571909,79677207,79845881,79910009,79961772,79989989,80094105,80197001,80292089,80465669,80512841,80528549,80606969,80622629,80747621,80794361,80851396,80993199,81068970,81226934,81294352,81353715,81819461,81939461,81939734,82044041,82052659,82222409,82303634,82384901,82443749,82472822,82531781,82621434,82823141,83099820,83305912,83351812,83467001,83553618,83565701,83720009,83887241,84149669,84231941,84338408,84598601,84775155,84816620,84879749,84959429,85012996,85025609,85392521,85394170,85431461,85433712,85612229,85778681,85969061,86195141,86232569,86259954,86307209,86369189,86379687,86473568,86590661,86726050,86736869,86777296,86851384,86857829,86918009,87133001,87168581,87270106,87380549,87440287,87502674,87753864,87758967,87842309,87967049,88000901,88013370,88084810,88135589,88202501,88368521,88403484,88565369,88596422,88639808,88695161,89088101,89129082,89164495,89264969,89275301,89429321,89449721,89761829,89821349,89959109,89968889,89971334,89997115,90172421,90362981,90426832,90568901,90587429,90624389,90752741,90825974,90861509,90888521,90897509,91049081,91137161,91166822,91190239,91215749,91336709,91456146,91473029,91482330,91498361,91565561,91648841,91665401,91695756,91788581,91796729,91917989,92247941,92354789,92474981,92524796,92694821,92759369,92858489,93024761,93045221,93072389,93106911,93146441,93219595,93226121,93291641,93330569,93368294,93369209,93464549,93514661,93542275,93613349,93625541,93658612,93680009,93719151,93739769,93757541,93792869,93880928,93931301,93955818,94040774,94048649,94076069,94081529,94318949,94374521,94424201,94506821,94610309,94701029,94740809,94758281,94809929,94822661,94856261,94880709,94883332,94949130,94989449,95024261,95069669,95080841,95181641,95198981,95229689,95249801,95311589,95350125,95400329,95446409,95463161,95495801,95503781,95509061,95522559,95534981,95540069,95586809,95612549,95652581,95673701,95715449,95719241,95732261,95737721,95783621,95796101,95802149,95809529,95815289,95842169,95849609,95853221,95861369,95866949,95882489,95912441,95920709,95924069,95930789,95936249,95938181,95938889,95941961,96112926,96320991,96420475,96707654,97282764,97533494,97581152,97624458,97707807,97862822,98355734,98358850,98683622,98723097,98770322,99719784,...,39975446146595446156794948376131177181977116577389754856803852497294208787505664475510349408715479910681899438786431209162437124135552316703636991230770623863674559712713882452690123417770328017505568062896310075451619443873557215987109006149702791628868493672687596093368211289800103166014260624509732291087911805184155770523884745204780492046176138489414835896120843991845151744705361995465411709005571600983201050848104263100515909020179841126048661883599197293731396882265993487602175445896620909333962997424502383212975285910540081436072311447021112970691857447335325092886824658008395024707744778478840507957648969837702993461022493358109056669835790317790207531687731731901933030310748983860467970139143830996580212243293500523349238204997297222792346206988896287179298197798866357727055863718143290499181657683025087187834791580724867619322485469168216133096963154347346474148420090938411486826140484690115806584337816462530407455932149825731240006870170356493438912745645980992611362416463488295309454177452394278802383410102501394994709083065971525973007851203374865898534096583535712053411243099930385045332339166281106880282963711314787794820958435734628394996857172588664888787884965563680372187840366882119265403492437960039702951446762368152216188521946325669124903247461078192815164445949408880059496023512794494390579085009875571309820755954224566643720721861796100516367244690878284726506074566270723236163052850249983490109909448384882861789988017115654675119627178977981894441237068571649763713944280439252386417451813097344172419613260134081283009288650163775313249256655916415517773979890194238795772409914321355889288327437869726580695303516118273109663609525076407101367538971136660476341784496313432142734558139957830863373509983408441203935725841901624252789080437041153514882585592731686813975459844968082076110971818643145002730875222866961110752816382622977853764912608713284280723842345659696395367765350998003172942779702789798040321206463326895263525760986648333637967308956768905619736436863575696941025322355278941306264054399323457413551136424824237098952365703268252417396715835371455990489922025645458778315057811488034152864850716372914942465890805522449072337718567937184625505858820207724146564537747583893754338367540912020754719545901966917404338202097114667258725925790037256988737081443153086035916847532603451671084312525050729271837845488943508030974021907468570879213870269375532434942563629068513835765024186272478830455609722065850767457814995827276828889998663695893273189970829053982340123515804536460571753691780596994614199402180252408479620294222113355893794698790945778307242245557250519247726326203783611901994820430068289312836716084687747458381724552094541375265685744609907431803454595728392896894357404027505296837583686912388277962699649410427375660385701842707964780707871583498422370565516535885041984083635957331081403550959662145958722068552398091007805816135222611782877231300614360934814450083463000403786735342877832122185075440211392994132060158310828856600591887239267999372196892758728180365158737585984047562497640514492579998662828017647664649}
19591  60635040422531933074109446758713447901189162887703895273890850143754503: {293745,313328,352494,646041,959273,998121,1370390,1644468,1701633,1780961,1957700,2349240,2505856,2544230,2642895,2755281,2819088,3013934,3053076,3171474,4201745,4243001,4305620,4831073,5042094,5166744,5608841,5812587,5881841,6061430,6297998,7058633,7246001,7273716,7646601,7671832,7705265,7938518,7954001,8012630,8175662,8402630,8630811,8645078,8997140,9246318,9399221,9452165,9615156,9729921,10033745,10083156,10274775,10299161,10351430,10614965,10768193,10796568,10959760,11216534,11330081,11340740,11342598,11460081,11509649,11692694,11933441,12040494,12146139,12231875,12329730,12421716,12631238,12737958,13151712,13515665,13608888,13774481,14277161,14588273,14630132,14678250,14795676,15214649,15251765,15309999,15401561,15590433,15656800,15664121,15829745,15906374,16023620,16185830,16218798,16620881,16946369,17297273,17558369,17613900,18004961,18302118,18649673,18788160,18995694,19228344,19269398,19290065,19422996,19677830,19787636,20040704,20195054,20246548,20540681,20596214,20676494,20788361,20810776,20840390,21136680,21350273,21534182,21631887,22002230,22067441,22159361,22218473,22545792,22548773,22603268,22698473,23148078,23345729,23412123,23613396,23778765,24200741,24583601,24710390,24770001,25008468,25364016,25573301,25780233,26197241,26306849,26402676,26443768,26642390,26734673,26742965,26788521,27084161,27226214,27368321,27587573,27871575,28534518,28613921,28923640,29133633,29343830,29652468,29725289,29729680,29749239,30051041,30162245,30469934,30500390,30734153,30799958,31503316,31656230,31800801,31970868,32050001,32091558,32117573,32271569,32426390,32434565,32539095,32851142,32945753,33118241,33445890,33460761,33543521,33568565,33922673,33968081,34093721,34390841,34497269,34624421,34708368,34814681,34912815,35119430,35212596,35266865,35411513,35667329,35675616,35832245,36194694,36397265,36435081,36600468,37240336,37364849,37424630,37633973,37987476,38100833,38135201,38159462,38192390,38235281,38241461,38408241,38534852,38636728,38911668,38921478,39046914,39411521,39638261,39872308,40135068,40282278,40307873,40488952,40537238,40700433,40877030,41158601,41258213,41348756,41562875,41895378,41954055,41957321,41986073,42143316,42320238,42425009,42753473,42895289,42998694,43136212,43277894,43439801,43466319,43671316,43676718,43999940,44635553,44750992,44909556,45550071,45830868,45834734,46686662,46726673,47075414,47191233,47220495,47519801,47622065,48137921,48157401,48388649,48525830,48623918,48741989,49052436,49443593,49634741,49699419,49763361,49858841,49875450,50114321,50133473,50159921,50344866,50368528,51181841,51322553,51405592,51823973,51851534,52799928,52915828,52941998,53200480,53313304,53519801,53720489,53846681,54162758,54226275,54231321,54621830,54840965,54921172,54986513,54997958,55718849,55857761,56046254,56171668,56214875,56473361,56664594,56787161,56960440,57146478,57182294,57560129,57601265,57831291,57841360,57910340,58152245,58230996,58294661,58342233,58525241,58595174,58941688,58955558,59165975,59356241,59399919,59425492,59463281,59795441,59850540,59939030,59964518,59977467,61076390,61298655,61333073,61623160,61971161,62114513,62126201,62295415,62969141,63000184,63066569,63589061,63642245,63688262,63840576,64080495,64536494,64818195,65071530,65084921,65385232,65525961,65546196,65582534,65809158,66136193,66309399,66336281,66685649,66732422,66752390,66805001,66863414,67072521,67080134,67184201,67435241,67457850,67523573,67885430,67962388,68122841,68180438,68322328,68352528,68552465,68846775,69121518,69139408,69141521,69228633,69326055,69409632,69462740,69492408,69502901,69782694,69831173,70076129,70085609,70149441,70333649,70875207,70999170,71062793,71132558,71374161,71657030,71820648,71926836,71955040,72129878,72290433,72444149,72892673,73249313,73291668,73436560,73558386,73796107,73827809,73905304,73947792,74025796,74073620,74386094,74722022,74754498,75156854,75260198,75594040,75664372,75732448,75930134,75994961,76370694,76507721,76784631,76862619,76896594,76923830,76990673,77559832,77562881,77747765,77781834,77896481,78085836,78178959,78294113,78349233,78806321,78901169,79123478,79136558,79207301,79545281,79738838,80102868,80245240,80255702,80676230,80708081,80798229,80949420,81282821,81346233,81462516,81464174,81943041,82124681,82145812,82262958,82489481,82616130,83143467,83191266,83280184,83355288,83548358,83685089,83772161,83997254,84458321,84709265,84794630,84841262,84893560,85043295,85199004,85383508,85988436,86346048,86391561,86590214,86642021,86686401,86751041,86870678,86881829,87254811,87274694,87342473,87791153,88123872,88530230,88619188,88658873,88888344,88993450,89057451,89089721,89448041,89622921,89695073,90275895,90434452,90712848,91019215,91083081,91287473,91410275,91655681,91660052,91840358,92215694,92270607,92308596,92431889,93297318,93513255,93690207,93762278,93774699,94113881,94143281,94287782,94434401,95505255,95826245,95977430,96294288,96487073,96770036,96811476,97094198,97133176,97139304,97557398,98241988,98279992,98396918,98424773,98449745,98460161,98973365,98993141,99139356,99259238,99299092,99380849,99707414,99747472,99946181,99952215,99999387,...,53300594862127261542393264501508236242636155436519673142405136663058945050007552634013799211620639880909199251715241612216582832180736422271515988307694165151566079616951843270253497890360437356674090750528413433935492591831409621316145341532937055505157991563583461457824281719733470888019014166012976388117215740245541027365179660273040656061568184652553114528161125322460202326273815993953882278674095467977601401130805684134021212026906454834731549178132263058308529176354657983469567261195494545778617329899336510950633714547386775248096415262694817294255809929780433457182432877344526699610326371305120677276865293116937324614696657810812075559781053757053610042250308975869244040414331978480623960185525107995440282991058000697798984273329729630389794942651861716239064263731821810302741151624191053998908876910700116250446388774299823492429980625557621510795950872463128632197893454584548649101520646253487742112450421950040543274576199767641653342493560475324585216994194641323481816555284651060412605569936525705069844546803335193326278777421295367964010468271166487864712128778047616071214990799907180060443118888374809173710618281753050393094611247646171193329142896784886518383846620751573829583787155842825687204656583946719603935262349824202954918029261767558833204329948104257086885927932545173412661364683725992520772113346500761746427674605632755524960962482394800688489659587837712968674766088360964314884070466999977986813212597846510482386650689487539566826169571970642525921649424762199684951925707252336515223269084129792229892817680178775044012384866885033750999008874555220690365306520258985061029879885761807852384436583826302107593738021491030812884812700101876135156718628182213968455712661751242856979410853277107817831346644544588271914301122535499003718773916054871353176780790308915751967279793290776101481295758190860003641166963822614814337088510163970471686550144951045707631789794212928527157020467997337563923706270386397387094941951102527018034347982197778183956411942358540826315249151434262588033763140371921741685405865764609884734848566432316131936487604357669889862287780495274653986562700860611704420077081984045537153134288497219923287854407363265429783624757249579500674478426943632195419383663445191672451156721216027672959394535955889872450936129486223011634567720049675984982775257537448047889130043471268894779083366734305695783793985258010707965362543291427838951827025834043246590084838758018447686698915029971773940812962754467689943753327769702438519998218261191030919961105405309786831354406048614095671589040795992818932536240336544639493725629484474525059598387927704409656327409667358996968434938378149202659760573424385750448954779583663277842299402792721833687580992813209909071272794304523862525809872036673729116778249216517703950266199213903167547180935790277286374277162111331229827420688714513389312111514609774775204734612882861278296091403197454677074421513630149043836308400819147913085933444617333871715647123837109496246767253615190658842746877747771808800789182985690665829595857011637573820211650114645396749996854019323439998217104023530219532}
19592  60872633332141094207791107655804486375689292544015279715712075959246297: {274162,391660,469992,509002,528741,743698,861388,1191391,1212658,1330828,1446922,1837042,2007367,2055585,2123647,2192624,2268844,2304658,2447125,2466702,2935591,2936550,3132320,3166927,3238162,3471178,3523860,3673708,3758784,3816345,3936778,4070768,4089391,4169362,4228632,4401802,4520901,4579614,4757211,4943602,5382025,5464447,5793418,6101962,6333202,6458430,6487282,6712853,6718282,6722792,6888992,7168687,7281727,7563141,7717618,7750116,7845847,8177938,9092145,9446997,9589790,9698288,9937162,9973087,10195468,10306591,10470898,10851658,10910574,11246425,11507748,11634127,11744287,11907777,12018945,12219082,12263493,12328424,12603945,12732487,12749458,12820208,12967617,12973228,13444208,13495710,13581322,13699700,13807858,13823647,13869477,14175925,14395424,14422734,14561938,14712562,15123464,15124734,15280108,15527145,15690058,16053992,16194852,16439640,16562288,16589962,16824801,16983944,17011110,17013897,17188618,17535616,17539041,18060741,18145184,18209429,18287665,18494595,18632574,18750247,18946857,19106937,19201522,19276567,19424458,19486591,19571000,19727568,19801087,19869898,20029525,20413332,20787244,21260167,21625064,21941002,21945198,22017375,22193514,22293727,23138297,23412682,23422327,23485200,23626591,23830567,23859561,23926258,24035430,24278745,24328197,24365842,24402824,24734545,25050880,25149391,25308185,25327592,25462282,25608202,25637792,25854487,25897328,26013470,26033029,26118418,26420850,26456047,26655991,27453177,27651391,27849607,27948607,28182240,28254085,28296178,28442527,28493541,28842516,28904097,29130991,29134494,29516745,29595922,29681454,29815927,29913487,29956042,30061056,30292581,30369822,30864104,30894321,31014741,31078591,31216164,31260585,31271767,31484528,31705020,32041591,32179858,32301273,32520391,32585294,32822602,33003345,33026668,33054710,33282727,33344624,33807137,33818688,33904902,34033138,34134847,34317298,34373644,34672138,34722117,35074807,35203568,35355391,35420094,35427833,35522122,35718028,36007567,36154550,36471247,37065585,37074442,37162100,37393207,37512702,37668391,38046024,38307967,38844844,38899018,38968978,39034591,39157118,39379145,39536624,39597898,39604014,39665652,39666607,39963585,40220521,40225522,40573642,40839321,40990858,41009047,41097967,41684938,42401068,42446578,42627824,42788744,42801777,42861202,42957941,43297567,43385460,43471591,43895242,44015745,44072462,44478702,44594520,44614348,44925682,44979893,45195991,45405322,45452167,45704901,45750585,45792727,45815818,46199937,46277824,46301407,46550420,46649141,46771402,46839538,46950128,46975762,47179978,47254974,47478247,47484345,47567488,47587978,47655922,47728591,47956302,48137337,48168565,48259592,48266698,48295910,48580108,48639585,48800624,49276713,49619338,49821682,49840385,50023882,50033887,50168835,50611190,50649968,50898418,51210988,51234058,51573977,51685945,51882224,51895304,52062552,52203391,52505842,52679145,52818894,52836127,52906258,53150767,53229247,53306098,53513424,53709704,53920265,54010087,54037642,54267244,54292041,54320407,54552391,54589145,54900702,54999925,55125161,55296658,55693042,55860504,55891018,55938740,56136945,56191088,56426984,56686327,56981214,57061447,57212078,57239193,57288585,57331592,57600778,57802278,57862858,57955092,57993802,58190098,58235624,58367502,58382217,58470487,58570371,58690591,59201647,59636887,59755282,59782037,59808462,59820298,59879408,60202602,60423417,60496982,60642367,60733428,60793618,60805857,61107824,61117258,61315545,61563391,61704007,62023134,62536522,62843067,62921644,62956591,62960660,63214974,63480357,63499762,63505807,64075978,64118167,64209868,64256990,64498041,64657591,64667141,64704318,64858687,64916841,64992391,65125807,65325391,65403248,65458087,65506974,65515077,65987338,65999910,66144785,66265892,66351148,66494602,66500600,66641630,67126488,67364334,67442962,67864853,68114887,68199058,68261962,68556391,68569369,68651465,68746302,68752101,69613927,70029993,70141642,70214585,70226287,70399904,70613121,70702738,70889482,71131327,71200550,71572978,71607391,72078847,72301700,72308428,72387925,72698054,72788745,72870161,72872458,72935877,72950407,73427218,73522447,73578654,73677110,73857802,74031127,74281865,74716618,74813175,75517299,75552792,75963641,76195304,76607122,76728562,76803487,76910602,77013007,77028950,77065207,77108388,77605253,77641328,77685991,77697778,77777301,77789644,78043327,78195391,78602698,78723082,78750230,78846847,79094167,79199892,79373742,79412997,79444042,79800720,79969956,80521162,80540287,80634391,80961487,81057778,81244137,81731540,81932745,81949258,82008562,82061057,82145527,82381758,82482418,82496937,82675591,83109391,83191282,83746591,84038407,84045841,84069381,84244687,84257502,84484882,84570991,84660682,84952985,84991529,84996891,85120768,85288327,85402910,85440660,85719717,85773441,85868287,85994993,86208487,86394967,86424260,86701042,86762040,86762527,86828425,86865510,86875018,86943607,87106762,87158527,87279038,87346494,87367948,87394928,87405991,87742738,87745544,87892761,88093591,88360567,88412532,88433337,88606858,89007847,89138238,89289727,89320687,89430028,89696242,89775810,89908545,89943800,89946777,89983591,90039058,90153202,90836722,90893578,90912607,91136704,91230991,91308967,91404562,91437487,91517938,91614585,91705913,91744498,91787767,91795700,91812247,92162024,92263687,92304844,92381630,92434740,92532245,92546176,92592025,92656544,93043592,93047767,93088591,93098482,93288734,93443047,93532588,93611527,93702607,93879367,94065487,94098391,94107922,94131007,94179391,94335991,94492550,94500276,94528807,94580465,94665560,94736167,94827391,94890391,94975567,95010991,95045767,95091127,95165548,95209927,95223442,95230591,95464591,95522047,95532393,95723338,95734087,95760864,95761807,95829847,95902448,95930287,95938207,95943391,95955991,95957647,95961391,96004933,96387244,96391673,96443122,96719242,96804741,96949790,97270282,97479221,97607295,97722224,97874578,98077848,98319294,98367562,98373801,98597056,98713737,98750098,99672664,...,79950892293190892313589896752262354363954233154779509713607704994588417575011328951020698817430959821363798877572862418324874248271104633407273982461541247727349119425427764905380246835540656035011136125792620150903238887747114431974218012299405583257736987345375192186736422579600206332028521249019464582175823610368311541047769490409560984092352276978829671792241687983690303489410723990930823418011143201966402101696208526201031818040359682252097323767198394587462793764531986975204350891793241818667925994849004766425950571821080162872144622894042225941383714894670650185773649316016790049415489556957681015915297939675405986922044986716218113339671580635580415063375463463803866060621497967720935940278287661993160424486587001046698476409994594445584692413977792574358596395597732715454111727436286580998363315366050174375669583161449735238644970938336432266193926308694692948296840181876822973652280969380231613168675632925060814911864299651462480013740340712986877825491291961985222724832926976590618908354904788557604766820205002789989418166131943051946015702406749731797068193167071424106822486199860770090664678332562213760565927422629575589641916871469256789993714345177329777575769931127360744375680733764238530806984875920079405902893524736304432377043892651338249806494922156385630328891898817760118992047025588988781158170019751142619641511908449133287441443723592201032734489381756569453012149132541446472326105700499966980219818896769765723579976034231309350239254357955963788882474137143299527427888560878504772834903626194688344839226520268162566018577300327550626498513311832831035547959780388477591544819828642711778576654875739453161390607032236546219327219050152814202735077942273320952683568992626864285469116279915661726747019966816882407871451683803248505578160874082307029765171185463373627950919689936164152221943637286290005461750445733922221505632765245955707529825217426568561447684691319392790735530701996006345885559405579596080642412926653790527051521973296667275934617913537811239472873727151393882050644710557882612528108798646914827102272849648474197904731406536504834793431670742911980979844051290917556630115622976068305729701432745829884931781611044898144675437135874369251011717640415448293129075495167787508676735081824041509439091803933834808676404194229334517451851580074513977474162886306172071833695065206903342168625050101458543675690977887016061948043814937141758427740538751064869885127258137027671530048372544957660911219444131701534915629991654553657779997327391786546379941658107964680247031609072921143507383561193989228398804360504816959240588444226711787589397581891556614484491114501038495452652407567223803989640860136578625673432169375494916763449104189082750531371489219814863606909191456785793788714808055010593675167373824776555925399298820854751320771403685415929561415743166996844741131033071770083968167271914662162807101919324291917444137104796182015611632270445223565754462601228721869628900166926000807573470685755664244370150880422785988264120316621657713201183774478535998744393785517456360730317475171968095124995281028985159997325656035295329298}
19593  61111150618733176367892854179115373334630690413180022061161176266535965: {411243,489575,587490,626656,704988,763503,1076735,1115547,1292082,1663535,1818987,1918546,1996242,2170383,2368091,2740780,2755563,2836055,3288936,3403266,3456987,3561922,3700053,3915400,4404825,4592135,4698480,4857243,4948427,5011712,5088460,5206767,5285790,5510562,5638176,5652551,5882443,5905167,6027868,6106152,6237407,6254043,6342948,6602703,6869421,7415403,7645223,8403490,8486002,8611240,8690127,8812991,9152943,9400183,9499803,9662146,9687645,9730923,10077423,10084188,10333488,10787371,11217682,11510827,11576427,11625174,11763682,12122860,12266907,12595996,12744335,13033847,13233031,14047243,14117266,14384685,14492002,14547432,14860951,14905743,15293202,15343664,15410530,15706347,15877036,15908002,15956827,16025260,16216535,16277487,16351324,16365861,16805260,17124625,17261622,17290156,17994280,18328623,18492636,18512143,18769291,18798442,18904330,18921931,19100135,19124187,19230312,19459842,20027527,20067490,20166312,20243565,20371983,20549550,20598322,20702860,20711787,21229930,21352471,21536386,21593136,21634101,21842907,21919520,22068843,22161643,22433068,22660162,22681480,22685196,22687101,22920162,23019298,23385388,23535087,23866882,24080988,24199967,24292278,24463750,24568063,24659460,24832411,24843432,24884943,25262476,25475916,25516665,25782927,25984055,26079703,26303424,27006091,27031330,27047887,27217776,27548962,27590407,27948861,28554322,28802283,29136687,29176546,29260264,29356500,29591352,29804847,30429298,30503530,30619998,30803122,31180866,31313600,31328242,31659490,31812748,31850687,32047240,32371660,32437596,32911503,32917797,33241762,33290271,33892738,34594546,35116738,35119023,35129887,35227800,35414111,35889387,35896111,36009922,36053145,36068443,36548763,36604236,36876391,37299346,37388423,37440151,37576320,37991388,38104747,38139127,38193423,38204507,38412303,38456688,38538796,38580130,38845992,39020205,39177627,39355660,39575272,39631275,39642343,40081408,40390108,40493096,40740491,41081362,41144623,41192428,41283335,41352988,41576722,41621552,41680780,42227143,42273360,42444267,42700546,42967055,43068364,43263774,43701741,44004460,44103607,44134882,44318722,44393883,44436946,44522181,44647535,44934063,45091584,45097546,45206536,45226487,45396946,45408391,45554733,46296156,46452625,46691458,46824246,46925611,46995991,47226792,47557530,47713867,47898443,48269787,48313231,48401482,48556055,48641983,48877941,49167202,49208591,49233903,49373611,49420780,49540002,49582065,50016936,50138647,50165143,50568743,50728032,50857353,50956171,51049707,51119647,51146602,51475947,51560466,52008207,52394482,52613698,52623583,52805352,52887536,53001335,53130141,53283183,53284780,53469346,53485930,53577042,54168322,54231825,54452428,54736642,55175146,55611663,55724587,55743150,55767935,55889867,56130523,56269053,56931271,57007127,57064223,57069036,57227842,57847280,57920911,58188025,58267266,58348527,58453467,58687660,58735677,59304936,59396847,59406021,59450578,59459360,59498478,59659391,60102082,60324490,60338283,60375071,60725135,60860463,60939868,61000780,61138303,61233383,61468306,61486287,61599916,62168447,62527407,63006632,63312460,63601602,63669867,63941736,64013735,64100002,64183116,64235146,64291803,64543138,64852780,64869130,64900271,65078190,65702284,65842863,65891506,66108693,66142987,66236482,66253007,66555767,66670891,66718053,66891780,66921522,67087042,67137130,67388523,67834055,67845346,67936162,68025607,68107983,68187442,68723727,68781682,68994538,69248842,69416736,69629362,69825630,69923425,70157103,70238860,70259307,70425192,70463643,70533730,70769967,70823026,70882461,71020487,71070127,71334658,71351232,71381967,71483883,71664490,71934453,72389388,72400047,72443865,72451591,72794530,72870162,73200936,73261847,73825967,74429007,74480672,74526923,74729698,74732523,74849260,75035823,75267946,75916785,75925163,75974952,76201666,76270402,76318924,76347627,76384780,76470562,76482922,76777351,76816482,76851087,76918543,77069704,77183471,77273456,77823336,77842956,78093828,78397423,78429751,78652055,78700825,78758763,78823042,79228341,79276522,79359387,79744616,79832747,79959147,80262335,80270136,80564556,80615746,80641771,80977904,81056463,81074476,81388631,81400866,81413143,81530507,81754060,82317202,82351053,82516426,82697512,82828447,82832365,82938935,82944987,83125750,83539563,83693707,83790756,83836527,83908110,83914642,83972146,84286632,84404711,84607391,84640476,84850018,85131947,85471821,85506946,85591343,85790578,85818117,85997388,86130763,86272424,86401167,86555788,86703417,86794287,86879602,86932638,86990703,87213581,87251047,87285147,87342632,87353436,87551253,87779063,87999880,88322267,88525807,89099143,89271106,89501984,89632923,89712693,89730447,89819112,90303903,90377125,90385535,90745473,91100142,91119967,91190427,91296871,91661736,91665223,91669468,91675887,93034701,93134743,93264347,93373324,93453346,93804783,94150828,94382466,94440990,94822461,95039602,95244130,95249643,95973451,96113967,96275842,96314802,96385485,96777298,96962591,97051660,97056477,97237055,97247836,97284647,97483978,98104872,98260461,98887186,98981007,98999865,99003463,99269482,99398838,99526722,99717682,99741903,99750900,99861631,99962445,...,119926338439786338470384845128393531545931349732169264570411557491882626362516993426531048226146439732045698316359293627487311372406656950110910973692311871591023679138141647358070370253310984052516704188688930226354858331620671647961327018449108374886605481018062788280104633869400309498042781873529196873263735415552467311571654235614341476138528415468244507688362531975535455234116085986396235127016714802949603152544312789301547727060539523378145985650797591881194190646797980462806526337689862728001888992273507149638925857731620244308216934341063338912075572342005975278660473974025185074123234335436521523872946909513108980383067480074327170009507370953370622595063195195705799090932246951581403910417431492989740636729880501570047714614991891668377038620966688861537894593396599073181167591154429871497544973049075261563504374742174602857967456407504648399290889463042039422445260272815234460478421454070347419753013449387591222367796449477193720020610511069480316738236937942977834087249390464885928362532357182836407150230307504184984127249197914577919023553610124597695602289750607136160233729299791155135997017498843320640848891133944363384462875307203885184990571517765994666363654896691041116563521100646357796210477313880119108854340287104456648565565838977007374709742383234578445493337848226640178488070538383483171737255029626713929462267862673699931162165585388301549101734072634854179518223698812169708489158550749950470329728345154648585369964051346964025358881536933945683323711205714949291141832841317757159252355439292032517258839780402243849027865950491325939747769967749246553321939670582716387317229742964067667864982313609179742085910548354819328990828575229221304102616913409981429025353488940296428203674419873492590120529950225323611807177525704872758367241311123460544647756778195060441926379534904246228332915455929435008192625668600883332258449147868933561294737826139852842171527036979089186103296052994009518828339108369394120963619389980685790577282959945000913901926870306716859209310590727090823075967065836823918792163197970372240653409274472711296857097109804757252190147506114367971469766076936376334945173434464102458594552149118744827397672416567347217013155703811553876517576460623172439693613242751681263015102622736062264158637705900752213014606291344001776177777370111770966211244329459258107750542597810355013252937575152187815513536466830524092922065722405712637641610808126597304827690887205541507295072558817436491366829166197552302373444987481830486669995991087679819569912487161947020370547413609381715261075341790983842598206540757225438860882666340067681384096372837334921726736671751557743178978611350835705984461290204867938510148254063242375145173656283624125797057233829722295410363787185178690683072212082515890512751060737164833888098948231282126981157105528123894342123614750495267111696549607655125952250907871993244210652878986437876166205657194273023417448405667835348631693901843082804443350250389001211360206028633496366555226320634178982396180474932486569801775661717803998116590678276184541095476212757952142687492921543477739995988484052942993947}
19594  61350595853124929663012060793124212103180067473704009554221732694783284: {215413,332809,450133,548324,783320,801673,881235,939984,1018004,1035673,1057482,1487396,1722776,1938123,2382782,2425316,2549653,2661656,2665609,2877819,2893844,2994363,3244309,3359833,3425975,3674084,3705973,4014734,4111170,4247294,4385248,4537688,4609316,4894250,4933404,5104899,5342883,5655193,5871182,5873100,6264640,6333854,6360575,6476324,6942356,7047720,7347416,7357813,7517568,7534835,7632690,7873556,7928685,8141536,8178782,8259253,8265843,8338724,8457264,8803604,9041802,9159228,9514422,9887204,9937033,10603609,10714453,10764050,10928894,11267593,11586836,12203924,12258709,12605235,12666404,12729003,12806809,12916213,12916860,12974564,13425706,13436564,13445584,13777984,14337374,14493219,14563454,14981209,15126282,15153575,15412633,15435236,15500232,15691694,15744995,16164853,16355876,16486153,16826523,17437761,17645523,18184290,18188809,18893994,19179580,19396576,19846295,19874324,19946174,20031575,20186773,20390936,20439155,20613182,20941796,21006575,21175899,21227893,21612695,21703316,21738003,21745753,21821148,21952393,22467733,22492850,22939803,23015496,23115795,23268254,23488574,23493013,23815554,23862003,23901109,24037890,24438164,24526986,24656848,24815113,25207890,25464974,25498916,25602731,25640416,25878575,25892433,25935234,25946456,26325493,26888416,26991420,27162644,27399400,27615716,27647294,27738954,28017673,28041335,28197663,28351850,28356495,28790848,28845468,28905109,29003353,29123876,29189763,29231735,29395609,29425124,30101235,30246928,30249468,30560216,30766307,30824325,30897483,31054290,31380116,31578095,31821109,31844895,32107984,32205013,32304579,32389704,32778709,32879280,33124576,33179924,33649602,33823753,33967888,33990243,34022220,34027794,34377236,34380243,34528947,34628363,35071232,35078082,35141209,35431459,35800323,36121482,36290368,36418858,36438417,36575330,36695625,36906613,36989190,37265148,37500494,37893714,38213874,38373109,38403044,38553134,38848916,38918293,38973182,39142000,39280309,39370633,39455136,39555719,39602174,39739796,39765935,40059050,40464575,40546995,40826664,41323443,41428213,41574488,42398809,42520334,42831483,43250128,43764819,43882004,43890396,44034750,44387028,44587454,44952347,45001609,45087253,45514393,45643947,45755295,45769813,45929997,46204683,46276594,46771299,46825364,46844654,46970400,46992363,47253182,47489235,47533343,47661134,47719122,47852516,48070860,48173495,48453973,48557490,48656394,48731684,48805648,49194575,49277653,49469090,49862643,50101760,50298782,50337673,50487635,50616370,50655184,50839107,50924564,51216404,51275584,51490535,51691235,51708974,51794656,51891819,52024309,52026940,52066058,52100975,52236836,52675107,52841700,52912094,53311982,53835455,54014883,54687733,54906354,55005575,55130803,55149109,55302782,55699214,55897214,55912309,55949019,56215573,56364480,56508170,56592356,56668309,56743513,56885054,56987082,57491593,57685032,57808194,57862933,57870195,58261982,58268988,58453333,59033490,59191844,59362908,59631854,59826974,59912084,59981209,60053173,60122112,60268633,60411913,60585162,60739644,60768853,61336213,61477333,61622043,61728208,61758709,61775975,61788642,62029482,62157182,62365083,62432328,62521170,62526553,62543534,62969056,63410040,63832309,63900313,64050819,64083182,64359716,64602546,64777813,64844809,64895661,65040782,65170588,65645204,66006690,66053336,66109420,66202323,66478083,66565454,66605975,66655419,66689248,67079833,67435991,67465609,67529653,67614274,67637376,67646319,67809804,67848793,68065535,68066276,68095419,68102809,68269694,68576387,68634596,68747288,69344276,69355609,69417493,69444234,69776539,70032373,70037187,70149614,70236369,70407136,70519093,70710782,70840188,70855666,71044244,71336295,71436056,71715733,71774809,72015134,72309100,72360323,72361609,72602223,72652309,72710233,72942494,72998773,73298291,73359575,73456693,73750803,74131170,74148884,74310003,74324200,74358709,74581333,74786414,75025404,75336782,75488371,75514633,76092048,76174835,76214293,76250975,76424803,76533109,76615934,76719903,76796809,76999895,77006473,77340699,77577109,77689688,77798036,77937956,78069182,78314236,78591723,78758290,78920547,79073248,79138393,79140575,79195796,79208028,79285813,79331304,79333214,79334809,79927170,80108953,80204019,80228895,80347093,80365563,80441042,80451044,80771209,80817973,81036527,81065975,81147284,81252483,81419353,81678642,81981716,82018094,82104963,82127855,82195934,82541653,82629493,82762719,82847833,83021209,83369876,83449609,83492053,83614725,84054443,84120073,84802136,84893156,84932233,85051573,85255648,85444693,85577488,85603554,85722404,85841763,85915882,86096473,86395993,86595134,86770920,86943182,87017173,87400899,87790484,87798575,87858709,88031490,88062613,88144924,88723573,88820233,88957404,89175867,89189040,89200393,89228696,89247717,89478709,89851364,89900053,89959786,90153123,90391982,90392713,90477493,90486735,90617353,90645109,90810133,90810644,90904334,91079413,91185109,91409802,91501170,91545973,91585454,91631636,91696309,91715299,91965193,92060809,92202459,92294809,92399874,92521609,92555648,92602699,92602814,93100840,93138613,93178933,93258709,93298282,93337333,93542804,93561575,93566293,93658633,93679076,93900256,93933587,93951524,94093333,94301593,94359956,94393609,94509948,94866073,94878709,94956494,94968690,95105113,95134976,95175956,95285653,95311844,95398655,95402403,95457182,95480975,95545609,95576713,95628373,95689609,95714953,95727193,95756533,95773273,95799733,95833753,95847253,95868313,95887573,95911513,95912604,95937109,95978293,95981173,96014759,96112051,96150003,96274674,96337130,96352719,96519184,96533396,96591820,96814707,96893291,97160216,97279170,97303695,97601248,97617285,98300419,98553426,98837259,99238676,99326903,99354723,99643364,99680770,...,159901784586381784627179793504524708727908466309559019427215409989176835150022657902041397634861919642727597755145724836649748496542209266814547964923082495454698238850855529810760493671081312070022272251585240301806477775494228863948436024598811166515473974690750384373472845159200412664057042498038929164351647220736623082095538980819121968184704553957659343584483375967380606978821447981861646836022286403932804203392417052402063636080719364504194647534396789174925587529063973950408701783586483637335851989698009532851901143642160325744289245788084451882767429789341300371547298632033580098830979113915362031830595879350811973844089973432436226679343161271160830126750926927607732121242995935441871880556575323986320848973174002093396952819989188891169384827955585148717192791195465430908223454872573161996726630732100348751339166322899470477289941876672864532387852617389385896593680363753645947304561938760463226337351265850121629823728599302924960027480681425973755650982583923970445449665853953181237816709809577115209533640410005579978836332263886103892031404813499463594136386334142848213644972399721540181329356665124427521131854845259151179283833742938513579987428690354659555151539862254721488751361467528477061613969751840158811805787049472608864754087785302676499612989844312771260657783797635520237984094051177977562316340039502285239283023816898266574882887447184402065468978763513138906024298265082892944652211400999933960439637793539531447159952068462618700478508715911927577764948274286599054855777121757009545669807252389376689678453040536325132037154600655101252997026623665662071095919560776955183089639657285423557153309751478906322781214064473092438654438100305628405470155884546641905367137985253728570938232559831323453494039933633764815742903367606497011156321748164614059530342370926747255901839379872328304443887274572580010923500891467844443011265530491911415059650434853137122895369382638785581471061403992012691771118811159192161284825853307581054103043946593334551869235827075622478945747454302787764101289421115765225056217597293829654204545699296948395809462813073009669586863341485823961959688102581835113260231245952136611459402865491659769863563222089796289350874271748738502023435280830896586258150990335575017353470163648083018878183607867669617352808388458669034903703160149027954948325772612344143667390130413806684337250100202917087351381955774032123896087629874283516855481077502129739770254516274055343060096745089915321822438888263403069831259983309107315559994654783573092759883316215929360494063218145842287014767122387978456797608721009633918481176888453423575178795163783113228968982229002076990905304815134447607979281720273157251346864338750989833526898208378165501062742978439629727213818382913571587577429616110021187350334747649553111850798597641709502641542807370831859122831486333993689482262066143540167936334543829324325614203838648583834888274209592364031223264540890447131508925202457443739257800333852001615146941371511328488740301760845571976528240633243315426402367548957071997488787571034912721460634950343936190249990562057970319994651312070590658596}
19595  61590972619828856021898609604273427991229016770313541540353401799155160: {685405,822486,979150,1174980,1253312,1272505,1409976,1507429,1527006,1586223,1859245,2153470,2231094,2328949,2584164,2798653,3031645,3327070,3574173,3617305,3637974,3837092,3970477,3992484,4340766,4592605,4736182,5481560,5511126,5672110,5761645,5848141,6022101,6166755,6317557,6370941,6428989,6577872,6667573,6806532,6913974,7123844,7341375,7371481,7400106,7830800,8095405,8544661,8677945,8806773,8809650,8813893,9184270,9242893,9396960,9500781,9714486,9841945,9896854,10023424,10176920,10413534,10415353,10423405,10571580,11004505,11021124,11276352,11305102,11386573,11449035,11764886,11810334,12055736,12212304,12268173,12291289,12359005,12474814,12508086,12685896,13035181,13205406,13562703,13738842,13932733,14271633,14483545,14830806,15254905,15290446,15605269,15833005,16146075,16218205,16393341,16795705,16806980,16972004,17222480,17380254,17625982,17804413,17842069,18305886,18417733,18800366,18999606,19294045,19324292,19375290,19461846,20138559,20154846,20168376,20444845,20666976,21506061,21574742,21645613,21845181,22435364,22689423,22703149,22924429,23021654,23152854,23250348,23527364,23537541,23544949,23974475,24202453,24245720,24533814,24842905,25191992,25488670,26067694,26177245,26466062,26740189,27129145,27181429,27276435,28094486,28234532,28340991,28599961,28769370,28984004,29094864,29306629,29486857,29721902,29811486,29919261,30547705,30586404,30687328,30821060,30919773,31412694,31754072,31816004,31845133,31873645,31913654,32050520,32278213,32433070,32554974,32702648,32731722,33376477,33442009,33550429,33610520,33739275,33953305,34249250,34519645,34523244,34580312,34821853,34902381,35232861,35417749,35669029,35723331,35988560,36056835,36076057,36377677,36404845,36657246,36781405,36790479,36985272,37024286,37204501,37538582,37589989,37596884,37641721,37808660,37811835,37843862,38197461,38200270,38248374,38460624,38631373,38902851,38919684,39225145,39580477,39881701,40055054,40134980,40332624,40487130,40743966,41099100,41167093,41196644,41405720,41423574,41470941,41474905,41608431,41787061,42011629,42375673,42459860,42527775,42704942,42971545,43072772,43077709,43186272,43268202,43308469,43685814,43839040,44137686,44323286,44866136,44964733,45150781,45231133,45278089,45320324,45362960,45370392,45374202,45840324,46038596,46122061,46581435,46770776,46895581,47070174,47733764,48003805,48147853,48161976,48399934,48561145,48584556,48793741,48927500,49136126,49213657,49318920,49664822,49674745,49686864,49769886,49869109,50270137,50474403,50524952,50951832,51033330,51041691,51565854,51834649,51968110,52159406,52606848,52617123,53378413,54012182,54042997,54062660,54095774,54182223,54435552,54628287,54744601,54766297,54852505,54862995,54997837,55097924,55180814,55483785,55897722,56250741,56715013,56840571,57108644,57320811,57604566,57796669,57829701,58135981,58273374,58353092,58459773,58520528,58531705,58575733,58713000,59182704,59403261,59609694,59815645,60084013,60088575,60153877,60858596,60914605,60923341,60938653,61007060,61239996,61503577,61606244,62127301,62361732,62506549,62627200,62656484,62949589,63318980,63625496,63655705,63701374,63777661,63780501,64020505,64094480,64111417,64538869,64743320,64875192,64906969,64994749,65033675,65296045,65559157,65823006,65835594,65932933,66051661,66052125,66259813,66483524,66562621,66580542,66881181,67184029,67449133,67785476,67799437,67978477,69189092,69414891,69484861,70233476,70238046,70259774,70266981,70455600,70506553,70740445,70828222,70879773,71491701,71578683,71778774,71792222,72019844,72106290,72136886,72288397,72535597,72710809,72836235,72984591,73097526,73208472,73269373,73427629,73471801,73752782,73989805,74201869,74203635,74484901,74598692,74673973,74776846,74880302,74890105,75152640,75325561,75448173,75924555,75982776,76209494,76278254,76386846,76409014,76824606,76913376,76960957,77077592,77160260,77191417,77380489,77563461,77691984,78040410,78075109,78099087,78310237,78355254,78711320,78822733,78917413,79150544,79262550,79284686,79368141,79967973,80162816,80449645,80724733,80780216,80986192,81463235,81480982,81491581,82056505,82162724,82289246,82359531,82384856,82506469,82566670,82636775,82705976,82954173,83153444,83243104,83361560,83548821,83827141,83845821,83900857,84294253,84454286,84546720,84616213,84762255,84888534,85015189,85082845,85140733,85313989,85327581,85401092,85480623,85793245,85934110,86023381,86136728,86527548,86680345,86712291,87392973,87403482,88008920,88207214,88269764,88300057,88550235,88637444,88670221,88743853,88787766,88805305,88873892,89044362,89295070,89447781,89619229,89740461,89868126,90070153,90183168,90195092,90386375,90413072,90452974,90689077,90793892,90816782,90877743,90888409,91109466,91717981,92314909,92556949,92592312,92682963,92686105,92905250,93044223,93235773,93274093,93382916,93648492,93781755,93815301,93851222,93991982,94162669,94334677,94453584,94967677,95115060,95427734,95796886,96124773,96539574,96626462,96802964,96903819,97112110,97247545,97283966,97383253,97422445,97561173,97755882,97768789,97892795,98334404,98417182,98445049,98467806,98747222,98841560,98994745,99010035,99080004,99164130,99848181,99990553,...,239852676879572676940769690256787063091862699464338529140823114983765252725033986853062096452292879464091396632718587254974622744813313900221821947384623743182047358276283294716140740506621968105033408377377860452709716663241343295922654036898216749773210962036125576560209267738800618996085563747058393746527470831104934623143308471228682952277056830936489015376725063951070910468232171972792470254033429605899206305088625578603095454121079046756291971301595183762388381293595960925613052675379725456003777984547014299277851715463240488616433868682126677824151144684011950557320947948050370148246468670873043047745893819026217960766134960148654340019014741906741245190126390391411598181864493903162807820834862985979481273459761003140095429229983783336754077241933377723075789186793198146362335182308859742995089946098150523127008749484349205715934912815009296798581778926084078844890520545630468920956842908140694839506026898775182444735592898954387440041221022138960633476473875885955668174498780929771856725064714365672814300460615008369968254498395829155838047107220249195391204579501214272320467458599582310271994034997686641281697782267888726768925750614407770369981143035531989332727309793382082233127042201292715592420954627760238217708680574208913297131131677954014749419484766469156890986675696453280356976141076766966343474510059253427858924535725347399862324331170776603098203468145269708359036447397624339416978317101499900940659456690309297170739928102693928050717763073867891366647422411429898582283665682635514318504710878584065034517679560804487698055731900982651879495539935498493106643879341165432774634459485928135335729964627218359484171821096709638657981657150458442608205233826819962858050706977880592856407348839746985180241059900450647223614355051409745516734482622246921089295513556390120883852759069808492456665830911858870016385251337201766664516898295737867122589475652279705684343054073958178372206592105988019037656678216738788241927238779961371581154565919890001827803853740613433718418621181454181646151934131673647837584326395940744481306818548945422593714194219609514504380295012228735942939532153872752669890346868928204917189104298237489654795344833134694434026311407623107753035152921246344879387226485503362526030205245472124528317275411801504426029212582688003552355554740223541932422488658918516215501085195620710026505875150304375631027072933661048185844131444811425275283221616253194609655381774411083014590145117634872982733658332395104604746889974963660973339991982175359639139824974323894040741094827218763430522150683581967685196413081514450877721765332680135362768192745674669843453473343503115486357957222701671411968922580409735877020296508126484750290347312567248251594114467659444590820727574370357381366144424165031781025502121474329667776197896462564253962314211056247788684247229500990534223393099215310251904501815743986488421305757972875752332411314388546046834896811335670697263387803686165608886700500778002422720412057266992733110452641268357964792360949864973139603551323435607996233181356552369082190952425515904285374985843086955479991976968105885987894}
19596  61832284517105364833194115021364664423143986507351065826085120095780507: {254579,371963,430826,665618,723683,840779,900266,1035779,1096648,1233729,1468725,1566640,1603346,1736123,1762470,1879968,2036008,2071346,2085323,2114964,2201579,2290509,2472563,2704523,2897603,2974792,3167579,3230205,3244643,3346641,3360179,3445552,3475643,3744779,3876246,4320179,4765564,4796365,4850632,4990605,5084579,5099306,5323312,5331218,5351363,5456961,5755638,5787688,5921723,5988726,6488618,6490283,6511149,6679403,6719666,6851950,6906083,7104273,7348168,7358579,7411946,7471523,8029468,8222340,8266689,8297579,8409923,8494588,8508165,8746523,8770496,8904805,9075376,9218632,9715283,9788500,9866808,9975179,10209798,10370961,10548769,10685766,11100159,11158283,11310386,11710043,11742364,11746200,12529280,12667708,12721150,12808163,12917579,12952648,13214475,13717763,13776405,13884712,14095440,14261123,14571729,14694832,14715626,14845281,15035136,15069670,15198683,15265380,15450179,15620301,15737123,15747112,15857370,15987779,16283072,16357564,16416563,16518506,16523579,16531686,16677448,16914528,16957653,17607208,17647329,17715501,18083604,18318456,18712221,18754283,18762129,18824579,19028844,19774408,19808109,19874066,20223779,20397779,20608263,21008725,21207218,21215005,21264779,21428906,21437579,21528100,21857788,22042993,22246209,22367243,22535186,22573043,22935669,23173672,23495579,23597723,23903723,24155365,24242963,24407848,24517418,24919043,25020179,25210470,25332808,25458006,25613618,25832426,25833720,25927163,25949128,26070381,26261603,26361779,26438973,26851412,26873128,26891168,27127403,27458829,27555968,27784813,27954803,28020779,28044205,28200549,28499409,28514579,28614817,28674748,28908323,28941083,28986438,29062935,29104763,29126908,29192769,29398883,29409205,29724923,29887643,29962418,30232269,30252564,30257773,30307150,30309779,30825266,30870472,30956579,31000464,31375283,31383388,31489990,31856723,32329706,32362113,32711752,32782403,32972306,33100043,33448523,33653046,33827579,34532481,34729281,34770179,34875522,34989083,35145203,35176403,35291046,35293165,35456843,35612363,36230005,36360181,36368580,36377618,36541283,36726203,36800721,36941579,37187243,37554779,37787988,37951643,38233005,38316779,38359160,38377523,38468579,38526325,38793152,38832083,39101541,39257869,39314963,39692590,39699093,39735803,39748648,39770005,39892348,40063150,40364123,40373546,40632323,40781872,40878310,40924429,41107523,41166779,41226364,41816483,41883592,42013150,42139883,42141729,42345179,42351798,42455786,42783779,43154055,43225390,43365779,43406632,43452803,43476006,43491506,43642296,43904786,44209333,44319083,44434043,44582853,44663579,44717229,44935466,44985700,45035483,45519779,45718523,45803579,45879606,46030992,46231590,46368779,46536508,46565843,46977148,46986026,46996105,47119041,47260825,47489579,47545283,47631108,47724006,47802218,47870481,48075780,48377003,48459779,48649605,48832461,48876328,48954923,49053972,49097583,49283579,49313696,49630226,50100179,50168725,50415780,50451803,50694443,50929948,50997832,51205462,51258083,51280832,51373875,51391763,51495805,51757150,51784866,51870468,51892912,51977579,52057163,52650986,53074825,53125501,53216123,53776832,53840965,53982840,54075179,54152843,54325288,54333779,54385403,54720179,54798800,54985869,55155923,55231432,55232579,55294588,55477908,55536429,55672309,55792523,55944563,56035346,56082670,56175769,56307873,56323403,56395326,56650405,56675363,56700443,56703700,56712990,56750579,56765793,56825723,57300405,57372561,57548245,57581696,57690936,57810218,57870179,58006706,58042883,58247752,58313483,58379526,58463470,58485179,58534163,58791218,58850248,58924883,59046563,59667205,59772443,59940779,60082581,60202470,60300179,60493856,60498936,60586403,60730695,60776579,61115949,61120432,61159375,61414643,61532614,61555643,61648650,61766603,61794966,62000243,62108580,62135361,62256323,62534579,62696363,62760232,63156190,63522203,63642218,63689790,63863243,64057413,64134779,64179923,64215968,64410026,64609158,64779408,64875563,64902303,65528721,65557418,65585579,65651723,65739803,65758560,66068963,66178283,66206529,66249152,66359848,66461579,66484929,66830003,66959483,67110179,67299204,67367603,67442893,67474523,67578325,67647506,67935776,67980486,68044440,68055588,68061303,68069579,68132963,68175179,68754472,68760486,68804579,68872405,69057894,69256726,69385523,69488603,69570923,69735179,70142464,70156164,70282418,70306043,70605261,70682689,70850579,70862918,71010803,71150579,71190443,71385805,71600646,72086749,72242964,72367729,72429779,72565523,72580736,72599901,72662243,72681563,72837716,72876834,72941365,73008779,73150660,73305793,73352723,73391250,73542683,73704189,73712963,73813226,73978380,73995323,74369003,74497233,74530296,74654829,74757923,74941883,75000988,75106763,75369637,75525179,75787428,75795779,76073245,76189403,76258825,76427748,76549995,76649603,76746218,76806088,76825163,76982483,77007805,77034779,77106268,77348781,77697832,77836586,77946364,77952165,78065579,78239109,78284000,78320605,78560618,78741266,78910272,79067579,79111438,79116923,79148725,79149779,79204348,79346243,79479592,79509083,79531870,80072723,80118100,80327123,80548043,80829779,80929150,81016163,81018273,81044821,81093990,81143661,81653328,81795443,81900779,82125179,82568579,82646886,82771221,82856426,83033603,83048003,83104405,83148976,83263043,83462123,83546963,83673683,83757803,83846583,83966843,84022283,84229043,84311243,84731845,84785003,84797618,84918563,85040668,85431803,85470779,85535579,85662966,86008883,86235179,86272643,86334923,86406849,86421779,86486365,86500256,86625253,87209579,87351323,87410061,87503579,87529638,87596603,87642923,87764008,87780792,87791845,87884003,87940883,88042763,88069500,88076579,88244579,88277963,88322363,88410779,88487723,88553363,88607843,88770083,88774056,89036483,89174908,89183483,89349563,89414541,89523779,89795723,89904694,89924579,90003218,90024805,90100763,90174506,90216779,90407579,90613763,90660083,90669323,90715403,90825179,90933803,90987683,91028786,91121123,91287894,91356779,91468163,91485179,91510590,91539626,91544483,91595003,91835123,91859994,91964723,92076443,92217779,92310563,92318243,92409366,92424923,92470163,92553188,92633579,92800283,92828843,93011363,93093779,93248365,93542598,93582779,93650728,93689308,93747803,93807443,93912779,93940800,93943201,93984726,94099163,94110179,94175603,94349579,94385363,94410683,94415723,94506364,94587083,94620179,94676003,94779779,94810523,94823579,94875083,94978470,95018723,95066686,95126579,95134043,95170883,95245643,95252579,95291749,95313563,95322268,95362403,95375123,95409443,95438244,95466443,95526083,95552061,95558579,95563883,95674763,95688323,95705032,95735579,95745779,95770441,95775179,95788283,95793779,95799203,95844779,95857163,95867579,95870483,95888579,95910203,95956283,95970179,95972243,95988923,95997323,95999843,96141720,96346990,96450325,96907946,97114980,97312788,97463368,97611296,98389150,98555306,98734509,98753391,98938180,99337069,99725286,99870813,...,359779015319359015411154535385180594637794049196507793711234672475647879087550980279593144678439319196137094949077880882461934117219970850332732921076935614773071037414424942074211110759932952157550112566066790679064574994862014943883981055347325124659816443054188364840313901608200928494128345620587590619791206246657401934714962706843024428415585246404733523065087595926606365702348257959188705381050144408848809457632938367904643181181618570134437956952392775643582571940393941388419579013069588184005666976820521448916777573194860732924650803023190016736226717026017925835981421922075555222369703006309564571618840728539326941149202440222981510028522112860111867785189585587117397272796740854744211731252294478969221910189641504710143143844975675005131115862900066584613683780189797219543502773463289614492634919147225784690513124226523808573902369222513945197872668389126118267335780818445703381435264362211042259259040348162773667103389348431581160061831533208440950214710813828933502261748171394657785087597071548509221450690922512554952381747593743733757070660830373793086806869251821408480701187899373465407991052496529961922546673401833090153388625921611655554971714553297983999090964690073123349690563301939073388631431941640357326563020861313369945696697516931022124129227149703735336480013544679920535464211615150449515211765088880141788386803588021099793486496756164904647305202217904562538554671096436509125467475652249851410989185035463945756109892154040892076076644610801837049971133617144847873425498523953271477757066317876097551776519341206731547083597851473977819243309903247739659965819011748149161951689228892203003594946940827539226257731645064457986972485725687663912307850740229944287076060466820889284611023259620477770361589850675970835421532577114618275101723933370381633943270334585181325779138604712738684998746367788305024577877005802649996775347443606800683884213478419558526514581110937267558309888158982028556485017325108182362890858169942057371731848879835002741705780610920150577627931772181272469227901197510471756376489593911116721960227823418133890571291329414271756570442518343103914409298230809129004835520303392307375783656447356234482193017249702041651039467111434661629552729381869517319080839728255043789045307868208186792475913117702256639043818874032005328533332110335312898633732988377774323251627793431065039758812725456563446540609400491572278766197167217137912924832424379791914483072661616624521885217676452309474100487498592656907120334962445491460009987973263039458709737461485841061111642240828145145783226025372951527794619622271676316582647999020203044152289118512004765180210015254673229536935834052507117953383870614603815530444762189727125435520968850872377391171701489166886231091361555536072049216636247547671538253182211494501664296844693846380943471316584371683026370844251485801335089648822965377856752723615979732631958636959313628498616971582819070252345217003506045895081705529248413330050751167003634080618085900489099665678961902536947188541424797459709405326985153411994349772034828553623286428638273856428062478764630433219987965452158828981841}
19597  62074535157015125787075038654239820983744714115590674584657088716097477: {19597,646239,959567,998427,1350399,1370810,1644972,1781507,1958300,2349960,2405019,2506624,2545010,2602943,2643705,2819952,3014858,3054012,3107019,3172446,3307499,3718490,4244303,4306940,4462188,4657898,5064227,5168328,5597306,5814369,5956955,6063290,6429647,6654140,7060799,7148346,7234610,7275948,7648959,7674184,7879859,7940954,7984968,7996827,8066303,8633457,8681532,8983089,9185210,9243839,9472364,9732927,10036835,10079499,10277925,10416419,10618235,10923419,10963120,11022252,11117919,11333567,11344220,11523290,11696282,12044202,12149123,12235625,12292547,12333510,12635114,12741882,12857978,13155744,13335146,13456859,13613064,13737323,13778723,13827948,13934159,14247688,14592767,14677955,14682750,14742962,14800212,15314697,15406307,15661600,15834635,16028649,16190810,16951583,16965579,17089322,17302607,17355890,17441183,17613546,17619300,17627786,18368540,18485786,18793920,19001562,19081725,19316159,19428972,19683890,19793708,20046848,20276963,20353840,20446955,20794763,20827068,20830706,20846810,20956763,21041579,21143160,21356867,22009010,22042248,22073439,22074239,22166207,22552704,22604505,22610204,22705487,22773146,22898070,23352923,23513987,23529772,23620668,23786055,24111472,24208187,24424608,24536346,24582578,24718010,24777759,24797529,24949628,25016172,25371792,25581179,26070362,26189843,26314943,26410812,26910125,27011663,27092507,27125406,27322235,27477684,27865466,28543266,28602899,28622783,28967090,29661612,29734463,29811099,30060287,30509810,30580892,31210538,31666010,31810827,32123507,32127467,32143359,32292150,32436410,32742179,32786682,32955899,33553883,33564265,33591410,33613960,33802779,33944008,34104227,34444960,34507883,34635107,34760508,34780067,34825439,35251964,35608826,35678303,35684138,35843435,36079763,36408635,36611772,36648143,36776127,36835466,37376363,37600732,37815705,37890443,37980803,37999212,38146979,38187009,38253227,38420427,38588090,38648584,38748639,38750580,38923692,39229235,39423647,39584543,39650507,40277118,40309692,40320299,40336752,40889690,41153099,41333952,42154307,42438143,42570683,42766787,43012122,43149484,43291226,43453187,43479657,43690362,44442779,44623103,44649299,44870728,44943627,45378846,45406298,45460725,45655259,45848858,45939083,46043308,46126799,46237899,46305708,46500696,47054728,47075082,47089898,47234985,47534627,47948950,48327503,48403583,48404906,48491440,48494559,48652019,49067628,49458459,49650107,49685810,49865435,49874243,50129759,50383984,50479569,50604923,50966783,50977340,51197603,51493967,51532955,51839987,52135388,52313283,52354490,52932124,52936569,53140139,53480378,53536283,53737043,53804507,54258290,54362858,54552870,54566427,54771923,54915203,55003499,55736063,55874963,56188972,56232125,56469064,56681982,56804687,57199922,57538740,57932843,57968008,58064867,58170635,58189728,58312619,58543283,58613258,58721435,58834523,58973714,59443804,59481599,59538885,59622972,59813867,59838522,60094725,60160163,60560319,61095410,61172808,61317465,61351967,61374656,61642120,61839546,62145359,62825388,62988539,63019725,63083579,63086003,63508144,63527697,63608747,63632008,63662435,63683679,63690266,63747290,63827308,64101040,64118003,64556426,64838085,64866140,65109948,65214009,65237259,65405296,65463444,65565923,65745203,65857179,66356939,66752954,66825587,66884018,67100858,67205327,67221040,67403199,67456079,67478550,67906610,67985603,68498500,68819409,69039290,69046488,69118235,69160624,69162827,69347385,69491999,69544643,69643706,69804762,69852707,70097723,70114787,70355423,70465722,70479039,70835498,70879625,71008379,71338058,71356043,71446662,71586009,71601203,71703327,71977120,72113670,72152114,72295823,72543083,72755354,72809690,73271999,73314492,73562810,73580958,73850843,73970544,74048572,74150627,74409002,74445339,75077164,75179978,75193768,75283442,75333299,75617320,75623670,75687724,76394922,76400540,76496748,76793507,76808193,76921248,76968863,77262746,77587103,77635725,77677299,77805702,77839368,77920739,78318299,78450290,78830939,78976479,79160954,79399307,79569803,79763402,80073983,80110108,80269960,80665248,80974260,81155147,81307907,81487932,81944387,82198200,82334186,82393288,82514963,82811440,82847148,82941882,82949810,83216862,83574122,83710943,83741903,84023258,84053019,84124005,84592989,84751346,84919720,85027043,85055550,85069485,85280447,85409884,85943090,86032259,86145544,86155418,86372544,86536404,86616938,86668739,86715327,86778107,86908643,87010059,87369407,87371628,87569289,87678080,87695205,88186827,88251059,88275372,88646572,88956563,89117987,89475647,89628707,89687123,89732272,89929466,90301562,90303705,90462266,90556178,90640648,90725920,90740784,90748404,91047145,91315667,91414463,91438325,91680648,92077192,92244122,92298921,92472975,92692449,93154139,93162870,93541552,93751235,93763283,93791162,94140348,94142927,94172363,94463819,94734285,95164187,95463327,95467528,95534685,96007610,96295706,96323952,96382835,96615039,96799868,96913737,97122290,97169112,97432955,97587482,97855000,98043359,98272252,98336127,98427314,98455187,98637840,98688299,99005435,99036623,99329644,99349490,99373728,99539772,99596243,99738218,99882203,99977027,...,479705353759145353881539380513574126183725398928677058281646229967530505450067973706124192904585758928182793265437174509949245489626627800443643894769247486364094716552566589432281481013243936210066816754755720905419433326482686591845308073796433499546421924072251153120418535477601237992171127494116787493054941662209869246286616942457365904554113661872978030753450127902141820936464343945584940508066859211798412610177251157206190908242158093512583942603190367524776762587191921851226105350759450912007555969094028598555703430926480977232867737364253355648302289368023901114641895896100740296492937341746086095491787638052435921532269920297308680038029483813482490380252780782823196363728987806325615641669725971958962546919522006280190858459967566673508154483866755446151578373586396292724670364617719485990179892196301046254017498968698411431869825630018593597163557852168157689781041091260937841913685816281389679012053797550364889471185797908774880082442044277921266952947751771911336348997561859543713450129428731345628600921230016739936508996791658311676094214440498390782409159002428544640934917199164620543988069995373282563395564535777453537851501228815540739962286071063978665454619586764164466254084402585431184841909255520476435417361148417826594262263355908029498838969532938313781973351392906560713952282153533932686949020118506855717849071450694799724648662341553206196406936290539416718072894795248678833956634202999801881318913380618594341479856205387856101435526147735782733294844822859797164567331365271028637009421757168130069035359121608975396111463801965303758991079870996986213287758682330865549268918971856270671459929254436718968343642193419277315963314300916885216410467653639925716101413955761185712814697679493970360482119800901294447228710102819491033468965244493842178591027112780241767705518139616984913331661823717740032770502674403533329033796591475734245178951304559411368686108147916356744413184211976038075313356433477576483854477559922743162309131839780003655607707481226867436837242362908363292303868263347295675168652791881488962613637097890845187428388439219029008760590024457471885879064307745505339780693737856409834378208596474979309590689666269388868052622815246215506070305842492689758774452971006725052060410490944249056634550823603008852058425165376007104711109480447083864844977317837032431002170391241420053011750300608751262054145867322096371688262889622850550566443232506389219310763548822166029180290235269745965467316664790209209493779949927321946679983964350719278279649948647788081482189654437526861044301367163935370392826163028901755443530665360270725536385491349339686906946687006230972715914445403342823937845160819471754040593016252969500580694625134496503188228935318889181641455148740714762732288848330063562051004242948659335552395792925128507924628422112495577368494459001981068446786198430620503809003631487972976842611515945751504664822628777092093669793622671341394526775607372331217773401001556004845440824114533985466220905282536715929584721899729946279207102646871215992466362713104738164381904851031808570749971686173910959983953936211771975788}
19598  62317728165471619659108359562839117906889761340101898527853951406513973: {509158,743926,861652,1308577,1331236,1447366,1681558,1800532,1891597,2056215,2071558,2124301,2193296,2447875,2467458,2472817,2936497,2937450,3052237,3133280,3206692,3472246,3514477,3524940,3759936,3817515,4072016,4090657,4142692,4170646,4229928,4403158,4522287,4581018,4758669,4945126,5383675,5409046,5577735,5795206,5949584,6335158,6377377,6460410,6489286,6693282,6714911,6717901,6720358,6891104,6951286,6986847,7057777,7284001,7489558,7752492,8317675,8395959,8640358,8747437,9094935,9531128,9592730,9701264,9981210,10169158,10198612,10420897,10646624,10662436,10702726,10722519,10851915,10913922,11511276,11575376,11748001,11840455,11843446,11911431,11977452,12466727,12977236,12980566,13022298,13358806,13439332,13703900,13777815,13812166,13936801,14180275,14208546,14696336,14717158,14823892,14943046,15236257,16058936,16444680,16533378,16595158,16819846,16952737,16989176,17016330,17166001,17284935,17485357,17493046,17540992,17544423,17809610,18066303,18150752,18437264,18500265,18952671,19112823,19286967,19430566,19577000,19733616,19950358,20002719,20419596,20643277,20741922,21097538,21371532,21578017,22024125,22094797,22114443,22200318,22316566,22609777,22620772,22960675,23420086,23484728,23492400,23634337,23736397,24286215,24742135,25058560,25157677,25335416,25442300,25460401,25616326,25633983,25835158,25905296,25963501,26033835,26420319,26428950,26441679,26664817,27435526,27552810,27728679,27769424,27957901,28190880,28262755,28502343,28522246,28944301,29140717,29143458,29238817,29389664,29412215,29431252,29525835,29690562,29701007,29923501,30070272,30139340,30397366,30530760,30900358,31185697,31187035,31240602,31246059,31270215,31378801,31474246,31494224,31714740,31975558,32566144,32715128,32833126,33008557,33013515,33037012,33047158,33063372,33354896,33817511,33829056,33915306,34159719,34347105,35180401,35214416,35294658,35431002,35460877,35647501,36167208,36576301,36636912,36804519,36873867,37077015,37222177,37424442,37508566,37524258,37649158,37956001,38057688,38226115,38594317,38866801,39105543,39261887,39500077,39548816,39616218,39748132,40232863,40398637,40447558,40688109,40795558,41112301,41172887,41216526,41798199,42017450,42414436,42430010,42529558,42814899,42857812,42875158,42971123,43051117,43056200,43450635,43486897,43573837,43715576,44064955,44085986,44439277,44492418,44734486,45070372,45146086,45212017,45297517,45764715,45871338,45894001,46347344,46571377,46815807,46991158,47000915,47195446,47499015,47745697,47807446,47829037,48310730,48438225,48485926,48654615,48815696,49034836,49180023,49410431,49838086,50040358,50295757,50387115,50420940,50665616,50722007,50862001,50916012,51227236,51424717,51664852,51667440,51854326,51898256,52140762,52222477,52301857,52523206,52697677,52723558,52855501,52877946,53248801,53413239,53526207,53702824,53746256,53782336,53936855,54185377,54254806,54415999,54917658,55111936,55253199,55569626,55678007,55799437,55909606,56041558,56088410,56401098,56481457,56707501,56857837,56998818,57029158,57229634,57349496,57554135,57679537,57816646,57882135,57882166,57972876,58125870,58209526,58253816,58385538,58712737,58785997,58797766,58818410,58932301,59296801,59449846,59775286,59924836,60415677,60464538,60505128,60515546,60614300,60619558,61334535,61446001,61586977,61650532,61740944,61913158,62000928,62158987,62750566,62766776,62784683,62979980,63049837,63713446,63721675,64210801,64518183,64659412,64724226,64936839,65169235,65423504,65535543,65564806,65794547,65944612,66077617,66165155,66200086,66208801,66405037,66897046,67306092,67655158,68015137,68068269,68109447,68646577,68773287,69064962,69458562,69518497,69540358,69751044,69978166,70236215,70290406,70315501,70352806,70582092,70586330,70612623,70634847,70913686,71040397,71224726,71339377,71636557,71923425,72094127,72460010,72607359,72691501,72720362,72737160,72755236,73082566,73452406,73601442,73883158,74118001,74304755,74374486,74528715,74564977,74676001,74841997,74952301,75109558,75377351,75575976,75903286,76200097,76466010,76633558,76718320,76755046,76937158,77052650,77097901,77586304,77664166,77770417,78127501,78203082,78515738,78531735,78629926,79310567,79385180,79398186,79471606,79497296,79540010,79784135,79784696,79956337,80126300,80220567,80338801,80567543,80575501,80728246,80747092,81082675,81264646,81387435,81544287,81563744,81641137,81756620,81829305,81848858,82215046,82333558,82452728,82492717,83060401,83189677,83534087,83573617,83632966,83767184,83784397,84026300,84279766,84283458,84324001,84609517,84650017,84690358,84703596,84811297,84911572,85022973,85567558,85623125,85799883,85908001,86286001,86308110,86360737,86450780,86472301,86634119,86731558,86813264,86905606,86952012,86983012,87270637,87284592,87809572,87919887,87966157,88169197,88418666,88460571,88501837,88638166,88868086,89145517,89165706,89301937,89327158,89364001,89434458,89757783,89760397,89820301,89870932,89879917,89971400,90070966,90684301,90957901,91011757,91039558,91145137,91354801,91437046,91607158,91643115,91759212,91858801,92061984,92287777,92334001,92463180,92560715,92737558,92759319,92823457,93073016,93131686,93137197,93337357,93679501,93734257,93806257,93846455,93954296,93972052,93992210,94238082,94246177,94402417,94432801,94521650,94609655,94679437,94788301,94827937,94879777,94892557,94942957,94979158,95090566,95188657,95262216,95284237,95334817,95383597,95448012,95484577,95500675,95535399,95604436,95620935,95660401,95709037,95740962,95747917,95780243,95877517,95890801,95992177,95997901,96009997,96016801,96019501,96020077,96020257,96151560,96421367,96754006,96834639,96919558,97299210,97664922,97752656,97909846,98107944,98195166,98567158,98627392,99260452,99940127,...,719558030638718030822309070770361189275588098393015587422469344951295758175101960559186289356878638392274189898155761764923868234439941700665465842153871229546142074828849884148422221519865904315100225132133581358129149989724029887767962110694650249319632886108376729680627803216401856988256691241175181239582412493314803869429925413686048856831170492809467046130175191853212731404696515918377410762100288817697618915265876735809286362363237140268875913904785551287165143880787882776839158026139176368011333953641042897833555146389721465849301606046380033472453434052035851671962843844151110444739406012619129143237681457078653882298404880445963020057044225720223735570379171174234794545593481709488423462504588957938443820379283009420286287689951350010262231725800133169227367560379594439087005546926579228985269838294451569381026248453047617147804738445027890395745336778252236534671561636891406762870528724422084518518080696325547334206778696863162320123663066416881900429421627657867004523496342789315570175194143097018442901381845025109904763495187487467514141321660747586173613738503642816961402375798746930815982104993059923845093346803666180306777251843223311109943429106595967998181929380146246699381126603878146777262863883280714653126041722626739891393395033862044248258454299407470672960027089359841070928423230300899030423530177760283576773607176042199586972993512329809294610404435809125077109342192873018250934951304499702821978370070927891512219784308081784152153289221603674099942267234289695746850997047906542955514132635752195103553038682413463094167195702947955638486619806495479319931638023496298323903378457784406007189893881655078452515463290128915973944971451375327824615701480459888574152120933641778569222046519240955540723179701351941670843065154229236550203447866740763267886540669170362651558277209425477369997492735576610049155754011605299993550694887213601367768426956839117053029162221874535116619776317964057112970034650216364725781716339884114743463697759670005483411561221840301155255863544362544938455802395020943512752979187822233443920455646836267781142582658828543513140885036686207828818596461618258009671040606784614751567312894712468964386034499404083302078934222869323259105458763739034638161679456510087578090615736416373584951826235404513278087637748064010657066664220670625797267465976755548646503255586862130079517625450913126893081218800983144557532394334434275825849664848759583828966145323233249043770435352904618948200974997185313814240669924890982920019975946526078917419474922971682122223284481656290291566452050745903055589239244543352633165295998040406088304578237024009530360420030509346459073871668105014235906767741229207631060889524379454250871041937701744754782343402978333772462182723111072144098433272495095343076506364422989003328593689387692761886942633168743366052741688502971602670179297645930755713505447231959465263917273918627256997233943165638140504690434007012091790163411058496826660101502334007268161236171800978199331357923805073894377082849594919418810653970306823988699544069657107246572857276547712856124957529260866439975930904317657963682}
19599  62561867182293887779387797700480771346039821424965680054128301523159069: {39194,763737,1077065,1115889,1292478,1664045,1919134,1996854,2171049,2250665,2368817,2522337,2700798,2741620,3107337,3289944,3563014,3659777,3701187,3916600,4008365,4406175,4699920,4810038,5013248,5090020,5178365,5205886,5208369,5287410,5639904,6029716,6108024,6214038,6239321,6255969,6344892,6604737,6614998,6871527,7417689,7436980,7647569,8113569,8339737,8488606,8613880,8692809,8924376,9315796,9502737,9639629,9690615,9733929,10039923,10080537,10102697,10128454,10336656,10343537,10426929,10924537,11194612,11234337,11628738,11913910,12126580,12748265,12859294,12960537,13308280,13328045,13620077,13738729,14051569,14121598,14296692,14389095,14469220,14551896,14865529,14971815,15253737,15297918,15348368,15759718,15881908,15969936,15993654,16054089,16132606,16221545,16370883,16433981,16799165,17129875,17266914,17363064,17765169,17966178,18370420,18487678,18529865,18944728,19465854,19470849,19533447,20033689,20038209,20073670,20158998,20549137,20555850,20718249,20832838,21236470,21312819,21846838,21926240,22044504,22075737,22168489,22235838,22402057,22414569,22667134,22688440,23046580,23392564,24088404,24298246,24471250,24575629,24585094,24667020,24800067,24892737,25229769,25270228,25483764,25524495,25715956,26087737,26239569,26311488,26670292,26714415,26913718,27056209,27226128,27474646,27557446,27598909,27655896,27868318,28037537,28275965,28495376,28625737,29145849,29185534,29271001,29355910,29365500,29485924,29600424,29925537,30629394,30812614,31112883,31323200,31646307,31669270,31802875,32057298,32381620,33300477,33474849,33903166,33931158,34178644,34605214,34711780,34882366,35130129,35140729,35227092,35238600,35255572,35676377,35907169,36737080,36789065,36887737,36971572,37399949,37587840,37674175,38003124,38116489,38163450,38251129,38424489,38632318,38752737,38857944,39367780,39587416,39643425,39654589,40093696,40324441,40503577,40553926,40707680,40893910,41153289,41157337,41296265,41329215,41589526,41654136,41661412,41693620,41913526,42020297,42083158,42286320,42713734,42783369,43715187,44013757,44018020,44084496,44146878,44148478,44332414,44535843,45105408,45209010,45220408,45410974,45546292,45596049,45796140,46350537,46705846,46860903,46989971,47027974,47059544,47211369,47241336,47572110,47728561,47913209,47963337,48222944,48416374,48849216,49072692,49165156,49223789,49249689,49436020,49555518,49570737,49595058,49685165,49899256,50032344,50154169,50180809,50584337,50743584,50872959,50972089,51162358,51343681,52140724,52379686,52629886,52639789,52821624,52941987,53018045,53146503,53572265,53820250,54023326,54185014,54250812,54644470,54920929,54955368,55730932,55741801,56136663,56147809,56262849,56286387,56337965,56473737,56948809,57024701,57086532,57164921,57205798,57245566,57934180,57938809,58549297,59043329,59323224,59424327,59468926,59622198,60120574,60134449,60393689,60671337,61019620,61157137,61161784,61193337,61293545,61824789,62421076,62962577,63026175,63332020,63621654,63645015,63760589,63794337,64034045,64247014,64254934,64286718,64312737,64581065,64584300,64872820,65484358,65573364,65911798,66128979,66163369,66576329,66738627,67101729,67107766,67128530,67182820,67227920,67605558,67719129,67888016,68208454,68807007,68889920,69015766,69270214,69521016,69531709,69560134,69650878,69811609,70486737,70503928,70793169,71042381,71092129,71217652,71356606,71368276,71686870,71711169,72146137,72159526,72466095,72473917,72728889,72817270,73223544,73279561,73296286,73552254,73670932,74752726,74757129,74906045,75060537,75201464,75631410,75767875,75780886,75948569,75961606,75998424,76293958,76374018,76506454,76539217,76840854,77063165,77176180,77204537,77207309,77297168,77497278,77501160,77781489,77847384,78211143,78421837,78458470,78724975,78784809,78847294,79085337,79169086,79301014,79316919,79577977,80554236,80571437,80619384,80640598,80673504,80824265,81382209,81413729,81438889,81555641,81779380,82210009,82306198,82376487,82430765,82667904,83354439,83719561,83864409,83918141,84062337,84132615,84308614,84329869,84601647,84876286,85141366,85498227,85533574,85543737,85617737,85844451,86024244,86298968,86375249,86582452,86724969,86823249,86906374,86959314,87188805,87278269,87314289,87380724,87578307,87806249,88196649,88227615,88885558,89127409,89174769,89246206,89298598,89662929,89741456,89887254,90696807,90757692,90773319,90812596,90823337,90890977,90921450,90929337,90944045,91148089,91310518,91693849,91697716,91778669,91878166,92086616,92200877,92253598,92475798,92611416,92869737,93001392,93163837,93968729,94109456,94125849,94150164,94179796,94469970,94527521,94632889,95069254,95280929,95570169,95897900,96078509,96655006,96765529,96807166,96809812,96982880,96989118,97086339,97304038,98082737,98135256,98224577,98347209,98916918,99231475,99300129,99300214,99371620,99422041,99730870,99748486,99892489,...,1079337045958077046233463606155541783913382147589523381133704017426943637262652940838779434035317957588411284847233642647385802351659912550998198763230806844319213112243274826222633332279798856472650337698200372037193724984586044831651943166041975373979449329162565094520941704824602785482385036861762771859373618739972205804144888120529073285246755739214200569195262787779819097107044773877566116143150433226546428372898815103713929543544855710403313870857178326930747715821181824165258737039208764552017000930461564346750332719584582198773952409069570050208680151078053777507944265766226665667109109018928693714856522185617980823447607320668944530085566338580335603355568756761352191818390222564232635193756883436907665730568924514130429431534927025015393347588700199753841051340569391658630508320389868843477904757441677354071539372679571425721707107667541835593618005167378354802007342455337110144305793086633126777777121044488321001310168045294743480185494599625322850644132441486800506785244514183973355262791214645527664352072767537664857145242781231201271211982491121379260420607755464225442103563698120396223973157489589885767640020205499270460165877764834966664915143659893951997272894070219370049071689905817220165894295824921071979689062583940109837090092550793066372387681449111206009440040634039761606392634845451348545635295266640425365160410764063299380459490268494713941915606653713687615664013289309527376402426956749554232967555106391837268329676462122676228229933832405511149913400851434543620276495571859814433271198953628292655329558023620194641250793554421933457729929709743218979897457035244447485855067686676609010784840822482617678773194935193373960917457177062991736923552220689832861228181400462667853833069778861433311084769552027912506264597731343854825305171800111144901829811003755543977337415814138216054996239103364915073733631017407949990326042330820402051652640435258675579543743332811802674929664476946085669455051975324547088672574509826172115195546639505008225117341832760451732883795316543817407683703592531415269129468781733350165880683470254401671713873988242815269711327555029311743227894692427387014506560910176922127350969342068703446579051749106124953118401334303984888658188145608551957242519184765131367135923604624560377427739353106769917131456622096015985599996331005938695901198965133322969754883380293195119276438176369690339621828201474716836298591501651413738774497273139375743449217984849873565655653029356928422301462495777970721361004887336474380029963919789118376129212384457523183334926722484435437349678076118854583383858866815028949747943997060609132456867355536014295540630045764019688610807502157521353860151611843811446591334286569181376306562906552617132173515104467500658693274084666608216147649908742643014614759546634483504992890534081539142830413949753115049079112532754457404005268946468896133570258170847939197895875910877940885495850914748457210757035651010518137685245116587745239990152253501010902241854257701467298997036885707610841565624274392379128215980955460235983049316104485660869859285914821569284187436293891299659963896356476486945523}
19600  62806955861259480932788132462940836078254153940746591357789230948349345: {58791,332911,450271,567559,801919,918991,1018316,1152919,1487852,1723304,1938717,2550439,2617154,2662472,2666431,2878701,2894732,2995281,3245311,3360871,3363116,3427025,3476359,3601064,3783194,3822391,4051197,4112430,4143116,4248602,4386592,4397671,4895750,4934916,4945634,5344521,5428639,5872994,5874900,5998879,6104474,6266560,6362525,6413384,6944492,7028954,7049880,7215057,7473079,7519872,7537145,7635030,7808829,7931115,8036839,8144032,8181314,8285384,8341292,8459856,8486551,8806316,8823079,9044574,9158959,9162036,9296225,9321057,9517338,9890252,9922497,9940159,10717831,10767350,10818092,10828639,11155470,11160631,11381599,11590412,11644745,11899168,12152719,12372391,12670316,12732909,12754754,12920311,12920820,12978572,13248199,13386564,13429822,13435802,13440716,13782208,13902572,13973694,13993265,14115554,14336479,14568002,14979116,14985991,15158225,15192681,15504984,15525271,16062751,16491439,16576637,16598431,16635350,16791918,17280716,17345359,17443107,17494874,17870865,18086525,18189870,18300511,18828631,19062256,19185460,19288941,19402528,19669879,19852385,19962420,20297791,20338316,20397224,20841794,21182397,21293248,21324872,21405452,21445038,21703830,21827844,21856231,22577959,22946877,22963025,23022552,23091319,23150752,23496002,23602879,23639577,23680910,23686892,23822862,23954904,23990481,24198909,24924511,24933454,25631119,25900371,25954472,25961132,26044596,26334199,26717612,26834239,26878664,26949267,27332479,27407800,27531271,27555630,27624332,27731517,27873602,28026991,28125919,28360550,28417092,28808225,29013031,29111239,29198781,29240705,29392672,29434316,29647784,29886092,30110505,30238497,30381391,30472514,30575719,30833775,31249257,31587785,31854705,32117872,32144945,32215879,32770257,32889360,33066756,33170959,33190316,33337865,33353757,33639692,33905474,33978352,34000701,34032660,34118839,34332002,34569870,34638989,34778071,34970714,34986092,35081984,35088846,35246791,35619220,35620471,36132606,36301504,36447369,36457039,36706875,36857405,36874528,36877641,36919279,37000530,37195759,37905342,38225646,38386351,38477431,38573934,38861132,39154000,39293911,39384271,39467232,39567857,39900716,39924919,40005438,40370577,40477025,40839192,41176351,41177101,41211969,41286554,41336169,41442679,41483844,41531311,41802477,41885119,42195076,42413671,42723305,42743064,43156034,43389725,43661849,43778301,43897159,44033865,44048250,44069465,44189594,44228886,44400636,44501959,44633132,44966141,45017551,45103231,45219554,45241544,45615799,45786079,45921350,45944091,46040959,46214465,46218921,46717471,46840172,46885879,46969456,46984800,47268674,47472794,47503905,47547929,47556631,48085947,48388591,48554119,48572430,48801871,48966679,49209725,49377439,49484270,50117120,50315354,50670832,50854749,50884600,50896737,50920802,51232652,51267966,51404239,51670316,51810592,51907821,51927002,52043311,52067670,52076765,52117025,52323549,52840638,52857900,52883358,53150599,53329634,53516561,53776999,54398791,54707959,54871052,55022525,55105620,55169551,55246231,55457358,55538848,55857079,55915802,56381760,56525510,56689471,56764711,56839879,56932865,57004686,57044492,57245175,57513151,57888602,57948477,58281434,58286916,58477634,58548871,58779328,58824430,58862504,59051670,59061439,59381124,59402014,59847002,60003991,60075991,60140544,60278680,60434911,60649399,60792031,60794732,60830889,61061520,61340865,61430311,61456445,61571359,61690937,61795025,61800716,62371394,62374070,62384289,62481204,62492118,62540430,62620039,62757602,62870289,62948492,62965999,62988448,63124737,63241471,63429480,63857071,63925111,63951116,63993079,64070601,64196551,64309817,64870111,65132288,65137519,65175905,65430256,65470159,65666252,65801281,66017114,66027030,66074024,66094316,66126744,66195631,66220317,66222717,66498621,66587671,66709792,67428199,67556431,67635022,67658112,67813515,67830612,67875751,68116461,68129911,68193271,68319438,68445991,68694210,68822911,69445351,69471809,69507199,69663665,70058769,70060591,70243759,70360802,70365511,70428832,70541961,70589316,70862004,70909831,70921754,71209711,71295002,71358165,71804071,72332839,72334416,72417725,72449551,72624561,72682111,72740071,73086319,73152602,73273824,73372879,73460621,73486999,73609038,73747734,73771039,74154030,74333277,74392587,74444354,74445391,74778679,74848884,75017132,75048516,75164239,75298316,75511597,75546271,75600559,75762991,75912002,76115376,76246399,76274525,76452230,76618351,76743537,77039119,77188634,77713039,77733602,78026345,78211086,78324319,78523774,78569529,78944829,78974839,79000154,79097632,79165025,79172551,79232436,79369111,79496264,79564519,80047999,80382151,80429599,80465726,80575789,80665759,80730375,80797274,80853391,80895116,81034989,81091025,81277521,81376218,81455239,81501031,81591116,81954991,81966705,82224602,82345774,82357399,82433052,82446031,82578439,82666351,83101591,83529631,83572039,83596398,83698831,83978525,84034900,84199519,84810799,84828872,84860020,84971071,85059116,85090519,85483999,85561831,85629798,85715624,85750316,85793599,85808697,85868349,85942246,86102234,86112400,86174119,86361679,86436199,86901270,86913559,86973794,86985919,87147674,87378751,87431152,87485057,87693679,87900391,87968719,88129910,88171972,88766191,88798519,88862959,88878554,88895071,88984836,89022065,89203389,89210345,89212231,89433297,89468972,89552791,89944039,90032599,90140744,90180861,90292172,90424034,90522199,90550351,90595034,90662239,90690031,90745399,90882559,91017919,91151479,91236929,91515871,91529430,91592119,91642591,91742676,91788002,92011951,92088665,92107711,92131471,92365111,92433799,92501839,92631217,92694688,93085039,93142754,93187279,93207511,93578239,93631614,93982316,94001830,94043431,94143871,94160359,94383631,94390892,94459951,94534471,94592791,94664071,94747231,94918519,94931191,94943791,94998030,95077639,95158279,95169511,95288311,95349439,95398399,95417479,95432481,95463919,95491394,95600431,95614892,95646871,95658074,95690719,95745151,95800879,95829319,95861071,95894839,95903839,95908231,95925079,95929111,95948191,95962159,95968711,95971879,96024871,96036751,96037399,96038911,96370521,96382401,96430077,96470225,96621460,96876450,96971852,97309230,97631392,98069672,98226537,98330701,98360046,98820862,98867697,99676172,...,1439116061277436061644618141540722378551176196786031174844938689902591516350203921118372578713757276784548379796311523529847736468879883401330931684307742459092284149657699768296844443039731808630200450264267162716258299979448059775535924221389300498639265772216753459361255606432803713976513382482350362479164824986629607738859850827372097713662340985618934092260350383706425462809393031836754821524200577635395237830531753471618572724726474280537751827809571102574330287761575765553678316052278352736022667907282085795667110292779442931698603212092760066944906868104071703343925687688302220889478812025238258286475362914157307764596809760891926040114088451440447471140758342348469589091186963418976846925009177915876887640758566018840572575379902700020524463451600266338454735120759188878174011093853158457970539676588903138762052496906095234295609476890055780791490673556504473069343123273782813525741057448844169037036161392651094668413557393726324640247326132833763800858843255315734009046992685578631140350388286194036885802763690050219809526990374974935028282643321495172347227477007285633922804751597493861631964209986119847690186693607332360613554503686446622219886858213191935996363858760292493398762253207756293554525727766561429306252083445253479782786790067724088496516908598814941345920054178719682141856846460601798060847060355520567153547214352084399173945987024659618589220808871618250154218684385746036501869902608999405643956740141855783024439568616163568304306578443207348199884534468579391493701994095813085911028265271504390207106077364826926188334391405895911276973239612990958639863276046992596647806756915568812014379787763310156905030926580257831947889942902750655649231402960919777148304241867283557138444093038481911081446359402703883341686130308458473100406895733481526535773081338340725303116554418850954739994985471153220098311508023210599987101389774427202735536853913678234106058324443749070233239552635928114225940069300432729451563432679768229486927395519340010966823122443680602310511727088725089876911604790041887025505958375644466887840911293672535562285165317657087026281770073372415657637192923236516019342081213569229503134625789424937928772068998808166604157868445738646518210917527478069276323358913020175156181231472832747169903652470809026556175275496128021314133328441341251594534931953511097293006511173724260159035250901826253786162437601966289115064788668868551651699329697519167657932290646466498087540870705809237896401949994370627628481339849781965840039951893052157834838949845943364244446568963312580583132904101491806111178478489086705266330591996080812176609156474048019060720840061018692918147743336210028471813535482458415262121779048758908501742083875403489509564686805956667544924365446222144288196866544990190686153012728845978006657187378775385523773885266337486732105483377005943205340358595291861511427010894463918930527834547837254513994467886331276281009380868014024183580326822116993653320203004668014536322472343601956398662715847610147788754165699189838837621307940613647977399088139314214493145714553095425712249915058521732879951861808635315927364}
19601  63052997870157608438954951177188475998769080541362294286715845283752157: {78388,1272895,1507891,1527474,1859815,2154130,2231778,2329663,2584956,2799511,3150931,3328090,3618415,3838268,3925731,3993708,4090339,4203895,4325191,4342098,4501330,4737634,5044674,5178895,5401596,5483240,5611711,5674791,6168645,6214674,6372903,6579888,6669619,7126028,7249711,7319554,7343625,7373743,7402374,7418451,7833200,7958071,8016730,8547283,8680615,8809491,8812350,9156711,9399840,9620076,10026496,10103731,10180040,10304431,10356730,10411772,10416738,10426615,10543431,10574820,10773703,11007895,11279808,11452545,11939551,12059432,12216048,12271971,12362815,12428076,12478642,12511938,12675619,12689784,13209474,13229996,13522615,13566861,13621471,13743054,14276007,14284471,14488015,14835378,14873960,15222439,15295138,15837895,16151025,16223215,16227138,16435663,16629391,16679474,16733205,16800895,16977212,17227760,17378215,17385618,17567359,17597431,17809891,17847571,17848752,18631592,18659263,18723895,19005474,19091479,19132131,19279258,19381230,19467858,20079846,20144733,20153703,20161074,20205394,20256908,20673312,20687074,20853858,20960541,21113011,21173331,21600895,21652279,21849074,21852003,22389224,22468674,22710163,22931491,23222359,23257476,23518831,23827820,23981825,24209911,24253160,24953025,25187877,25422895,25496530,25718588,25921074,25941811,26242311,26616560,26656090,26756815,27189811,27240154,27284805,27477458,27515911,28103138,28243196,28593384,28778190,28938440,29103792,29608615,29731058,29943630,30507474,30595836,30696736,31262691,31519436,31763816,31854931,31863799,31939872,31987308,32108178,32167557,32265212,32443090,32451415,32555745,32741766,32867962,33135271,33397015,33452311,33560791,33598330,34259750,34530415,34533828,34726128,34832611,35244003,35428663,35521365,35530338,35680051,35734293,35932356,36740840,36792895,36950551,36975356,37059730,37357615,37400181,37403791,37889456,38931708,38941698,39066894,39586351,39893983,40067378,40076418,40147340,40152559,40317996,41098274,41111700,41333445,41436498,41487895,41665676,41799943,41810403,42007663,42049615,42162991,42388711,42446899,42472940,42540825,42625638,43090963,43693676,43732615,43852480,44089008,44151474,44336978,44471676,44524025,44804114,44829138,44978659,45245071,45292063,45334268,45376880,45708771,46093160,46785128,46910023,47172919,47918131,48176808,48576415,48576991,48596492,48808783,48942500,49151258,49170188,49334040,49600134,49660351,49785474,49875895,49884511,50285623,50459538,50540456,50858211,50967528,51048990,51431912,51498003,51504691,51850663,51854805,52175474,52456071,52479138,52622976,52633269,52743845,53340584,53428830,53815591,53827436,54112418,54198909,54452256,54654391,54949292,55014823,55114892,55124863,55197818,55311792,55500795,55736636,55791415,56075074,56551930,56732479,56858013,56990752,57030559,57251474,57338469,57589939,57814771,57860901,58153903,58291698,58371068,58542002,58550215,58593811,58711820,58731000,58971848,59200848,59684119,59703031,59851074,60008157,60942103,60957439,61258591,61258788,61522543,61625228,61929831,62225766,62646400,63292614,63338540,63605750,63621871,64040815,64114596,64558771,64587895,64734051,64763240,64927063,65014771,65989603,66072375,66280231,66284391,66343329,66583183,66600954,66949698,67204951,67469971,67558543,67806332,67820323,67829331,67862316,68157871,68357288,68588815,68882025,69210428,69423560,69490951,69559231,69764732,70122019,70129231,70260258,70281458,70369939,70454184,70477200,70511144,70903011,71049679,71209191,71305615,71352754,71814338,72733231,72858645,73291951,73474160,73578130,73775474,73856359,73943144,74225263,74226405,74507863,74697271,74799898,75001171,75175680,75348350,75473031,75943219,75956371,75993415,76006248,76232978,76326900,76381203,76502258,76848978,76901949,77030263,77250895,77264636,77404351,77505474,77715888,77890503,78101505,78334423,78685615,78735560,78873151,79174832,79260957,79286850,79309178,79325037,79938895,79994451,80090659,80187392,80648882,80919091,81007154,81107852,81415360,81516703,81564019,81787820,82082815,82166911,82306578,82314674,82493911,82531951,82592530,82617895,82658430,83179052,83186037,83308272,83322824,83387240,83827052,83852983,83873703,83926783,84040594,84166316,84320239,84501751,84572640,84788265,85044559,85167091,85427468,85507029,85566738,85810963,86295319,86832903,87422151,87430374,87716451,87815311,88027514,88036040,88168992,88236645,88293756,88296956,88577505,88664828,88697683,88704463,89071686,89103021,89647663,89705599,89770503,90097951,90210816,90413491,90418020,90440816,90717043,90821948,91092584,91192098,91244791,91592280,92585491,92701074,92857111,93411692,93557091,93561105,93721806,93738177,93771415,93810645,93979942,94055948,94119088,94122895,94136403,94191751,94422738,94482672,94537399,95144220,95457122,95826418,95926674,96445888,96537043,96832748,97698432,97798963,98145384,98330312,98447578,98475463,98499378,98510791,98872040,99025671,99040545,99111036,99141474,99190116,99370330,99798512,...,2158674091916154092466927212311083567826764295179046762267408034853887274525305881677558868070635915176822569694467285294771604703319825101996397526461613688638426224486549652445266664559597712945300675396400744074387449969172089663303886332083950747958898658325130189041883409649205570964770073723525543718747237479944411608289776241058146570493511478428401138390525575559638194214089547755132232286300866453092856745797630207427859087089711420806627741714356653861495431642363648330517474078417529104034001860923128693500665439169164397547904818139140100417360302156107555015888531532453331334218218037857387429713044371235961646895214641337889060171132677160671206711137513522704383636780445128465270387513766873815331461137849028260858863069854050030786695177400399507682102681138783317261016640779737686955809514883354708143078745359142851443414215335083671187236010334756709604014684910674220288611586173266253555554242088976642002620336090589486960370989199250645701288264882973601013570489028367946710525582429291055328704145535075329714290485562462402542423964982242758520841215510928450884207127396240792447946314979179771535280040410998540920331755529669933329830287319787903994545788140438740098143379811634440331788591649842143959378125167880219674180185101586132744775362898222412018880081268079523212785269690902697091270590533280850730320821528126598760918980536989427883831213307427375231328026578619054752804853913499108465935110212783674536659352924245352456459867664811022299826801702869087240552991143719628866542397907256585310659116047240389282501587108843866915459859419486437959794914070488894971710135373353218021569681644965235357546389870386747921834914354125983473847104441379665722456362800925335707666139557722866622169539104055825012529195462687709650610343600222289803659622007511087954674831628276432109992478206729830147467262034815899980652084661640804103305280870517351159087486665623605349859328953892171338910103950649094177345149019652344230391093279010016450234683665520903465767590633087634815367407185062830538258937563466700331761366940508803343427747976485630539422655110058623486455789384854774029013121820353844254701938684137406893158103498212249906236802668607969777316376291217103914485038369530262734271847209249120754855478706213539834262913244192031971199992662011877391802397930266645939509766760586390238552876352739380679243656402949433672597183003302827477548994546278751486898435969699747131311306058713856844602924991555941442722009774672948760059927839578236752258424768915046366669853444968870874699356152237709166767717733630057899495887994121218264913734711072028591081260091528039377221615004315042707720303223687622893182668573138362752613125813105234264347030208935001317386548169333216432295299817485286029229519093268967009985781068163078285660827899506230098158225065508914808010537892937792267140516341695878395791751821755881770991701829496914421514071302021036275370490233175490479980304507002021804483708515402934597994073771415221683131248548784758256431961910920471966098632208971321739718571829643138568374872587782599319927792712952973891046}
19602  63299996890842488163437241795878991967755056296322306160800111745825804: {97985,117582,372077,606701,665822,841037,900542,1135118,1153037,1192001,1386701,1603838,1837982,1969601,2036632,2202257,2291211,2305838,2550701,2705357,2975704,3231195,3347667,3361217,3446608,3476717,3515201,3861197,3877434,4091501,4321517,4436417,4797835,4992135,5100878,5200577,5234308,5324944,5332862,5467277,5657537,5757402,5789464,5990562,6037457,6490622,6513147,6721742,6726232,6751995,6794897,6854050,6952718,7106451,7202128,7360877,7473857,7566388,7567011,7644782,8037677,8075201,8102394,8224860,8286232,8412557,8497204,8773184,8795342,8824001,8861357,8907535,9322011,9791500,9869832,9891268,9941201,9978317,10552003,10689042,10857278,10866701,10979331,11103561,11272337,11419601,11745988,11749800,11997758,12025095,12190637,12208948,12533120,12725050,12826768,12921677,13014715,13067501,13218525,13830977,13888984,14012237,14057908,14099760,14430114,14946158,15039744,15074290,15203537,15270060,15535095,15562817,15617658,15625107,15862230,15992897,16073678,16100237,16288064,16302643,16362628,16528877,16537495,16570768,16682584,16919712,16973102,17027501,17560001,17612632,17646158,18089148,18317918,18324072,18592450,18642114,18717963,18760337,18767907,18936077,19034676,19462097,19590571,19672001,19706957,19780504,19814211,19844994,19880318,20508737,20614581,21221515,21237101,21435662,21444557,21534700,21636184,21657278,22099601,22253067,22310940,22321262,22477517,22614701,22763198,22922897,22942707,23180824,23289490,23605457,23639501,23798336,23809601,24305438,24340707,24744782,25019211,25028417,25321135,25340632,25465818,25509508,25840622,25841640,25957144,26036177,26078427,26370497,26470637,26496398,26670701,26773128,26837201,26859644,26870477,26871604,26881432,27564416,27793339,27805144,27865037,27947388,27986530,28030097,28129037,28231108,28508211,28672958,28918887,29016257,29071845,29136004,29147201,29201787,29784775,29832557,29958232,29971982,30119769,30241611,30308091,30316450,30319937,30385362,30417197,30773201,31009968,31030611,31050542,31280787,32125502,32148235,32219501,32773611,32982878,33153274,33196862,33206417,33270700,33459857,33583836,33703011,34154177,34561432,34690718,34875917,34886214,34989748,35094737,35250797,35303995,35655617,35741730,36173050,36182957,36379740,36492077,36601022,36923501,36954257,37230701,37567697,37657262,38124512,38244795,38370920,38481857,38577882,38805056,38881611,38936237,39057101,39328577,39339758,39399295,39509201,39704770,39924840,39929537,39959501,39984135,40331515,40595582,40676632,40794448,40854701,40860231,40936987,41181137,41216187,41269997,41447501,41683588,42154707,42364794,42586496,42649744,42798797,42810904,42890076,43167285,43407660,43468097,43655688,43712462,44075501,44222899,44334737,44507201,44596587,44915445,45002923,45051437,45155918,45222701,45621197,45761211,45819857,45893754,45904877,45926050,46045104,46074701,46182638,46219195,46301504,46673011,46919501,46992004,47205758,47279154,47361820,47373784,47645724,47645837,47896001,47909808,47980962,48162267,48397818,48477197,48559937,48664635,49112649,49164497,49301943,49383377,49410701,49792397,49849022,49866908,50184175,50362001,50397495,50470097,50928077,51262238,51276737,51389625,51437201,51600367,51800742,51908944,51922264,52076177,52082095,52089192,52235201,52367501,52668398,52763201,53091175,53141803,53183297,53295507,53435224,53668478,53757328,53809601,53898534,54172817,54617095,54664958,54714701,54740417,54815600,55062542,55111260,55248664,55253057,55463034,55589595,55747204,55864001,55889357,56053982,56193007,56243501,56251838,56344397,56495501,56667835,56721100,56721617,56771777,56834184,56846957,56872001,57616450,57990701,58026062,58138637,58222478,58397562,58412547,58481410,58600341,58785344,58849601,58868632,59295568,59772184,59795117,59812627,59963537,60101067,60114627,60221010,60476994,60680897,60745615,60762782,60799757,60945028,61151438,61178125,61461677,61462735,61508717,61602701,61647411,61667550,61697251,62154747,62419601,62498514,62628077,62651201,62997101,63175570,63455501,63709410,63888017,63938457,64227437,64235744,64289890,64431758,64699601,64700251,64811501,64900877,65012417,65146001,65168237,65279297,65478701,65500817,65540514,65611277,65677457,65778720,66133512,66226157,66227211,66341918,66380632,66505467,66675730,66707514,66985937,67206171,67243707,67279384,67284295,67330001,67565357,67757201,67810948,67956704,68001402,68065320,68160077,68237678,68476097,68664004,68686615,68893615,69139740,69277978,69537101,69556142,69660557,69670795,69763217,69824717,69941428,69972184,70163968,70177692,70273517,70374977,70493582,70557101,70637837,70939457,71238440,71240942,71358701,71656001,71754701,71931857,72069197,72225677,72265212,72362177,72603008,72711377,72750017,72894738,72907471,72914078,72963835,73096337,73115501,73382957,73389775,73413750,73497101,73573037,73714810,73726887,73749056,73755282,73838558,73950797,74001060,74082257,74391518,74400201,74455697,74622701,74678211,74696717,75192977,75448001,75611117,75629201,75689307,75810684,75881537,76002511,76257101,76451292,76523201,76573485,76772702,76954862,77031535,77067437,77119697,77147868,77644963,77722264,77724077,77741201,77826701,78149777,78183617,78263211,78308000,78335501,78587822,78718707,78737357,78768542,78934464,78986177,79135714,79151057,79173175,79249601,79592237,79706011,79801432,79849838,80010876,80143245,80155457,80219201,80362157,80393837,80457101,80677517,80693201,80741154,80954050,81020717,81168627,81252497,81678384,81695501,82103047,82206317,82280657,82352702,82354202,82423938,82573108,82605377,82672338,82737101,82796727,82885358,82967688,83062622,83113997,83243201,83542157,83598701,83604954,83770238,83879501,84101837,84112611,84170897,84226001,84308417,84390152,84757915,84827342,84827895,84837101,85037201,85446610,85486128,85510097,85613777,85806797,85877211,85934477,86039023,86200001,86312068,86312717,86387501,86461997,86499137,86513035,86779450,86818001,86927117,86939201,87011537,87071597,87205915,87323698,87427757,87437547,87494011,87556602,87637997,87794318,87813003,87925697,87994001,88067730,88096500,88118477,88138930,88163501,88219601,88286657,88320077,88379188,88457772,88801272,88920017,89003918,89037101,89257937,89266264,89351501,89444417,89776611,89909201,89932282,89968577,90035102,90047297,90057101,90206462,90439108,90483088,90574637,90714257,90897617,91033037,91042001,91175501,91231598,91246267,91307201,91402637,91428497,91514177,91572158,91641197,91842700,91888182,92011457,92081918,92147117,92380877,92428930,92437842,92449601,92848337,93004097,93203501,93338649,93428717,93434942,93467501,93525137,93556877,93600977,93680344,93724817,93771758,93779501,93892817,93938912,93969600,93991757,94065857,94177217,94182701,94215437,94477037,94537348,94614797,94638737,94671917,94686017,94764557,94831937,94845197,94875857,94888877,94936001,94938921,94945588,95007810,95063597,95095858,95099201,95113262,95118701,95153297,95179757,95235137,95337101,95357357,95370701,95408625,95419601,95438657,95485037,95572397,95665217,95701997,95789201,95849837,95855297,95891501,95915201,95924177,95928557,95944001,95945357,95963501,95975501,95987777,96030017,96040001,96044717,96052877,96056237,96058577,96059501,96171894,96580795,96777182,97108238,97144860,97529131,97603742,97933358,98419450,98754878,98968540,99901431,...,3238011137874231138700390818466625351740146442768570143401112052280830911787958822516338302105953872765233854541700927942157407054979737652994596289692420532957639336729824478667899996839396569417951013094601116111581174953758134494955829498125926121938347987487695283562825114473808356447155110585288315578120856219916617412434664361587219855740267217642601707585788363339457291321134321632698348429451299679639285118696445311141788630634567131209941612571534980792243147463545472495776211117626293656051002791384693040250998158753746596321857227208710150626040453234161332523832797298679997001327327056786081144569566556853942470342821962006833590256699015741006810066706270284056575455170667692697905581270650310722997191706773542391288294604781075046180042766100599261523154021708174975891524961169606530433714272325032062214618118038714277165121323002625506780854015502135064406022027366011330432917379259899380333331363133464963003930504135884230440556483798875968551932397324460401520355733542551920065788373643936582993056218302612994571435728343693603813635947473364137781261823266392676326310691094361188671919472468769657302920060616497811380497633294504899994745430979681855991818682210658110147215069717451660497682887474763215939067187751820329511270277652379199117163044347333618028320121902119284819177904536354045636905885799921276095481232292189898141378470805484141825746819961141062846992039867928582129207280870248662698902665319175511804989029386368028684689801497216533449740202554303630860829486715579443299813596860884877965988674070860583923752380663265800373189789129229656939692371105733342457565203060029827032354522467447853036319584805580121882752371531188975210770656662069498583684544201388003561499209336584299933254308656083737518793793194031564475915515400333434705489433011266631932012247442414648164988717310094745221200893052223849970978126992461206154957921305776026738631229998435408024788993430838257008365155925973641266017723529478516345586639918515024675352025498281355198651385949631452223051110777594245807388406345200050497642050410763205015141621964728445809133982665087935229683684077282161043519682730530766382052908026206110339737155247318374859355204002911954665974564436825655871727557554295394101407770813873681132283218059320309751394369866288047956799988993017816087703596895399968909264650140879585357829314529109071018865484604424150508895774504954241216323491819418127230347653954549620696966959088070785266904387487333912164083014662009423140089891759367355128387637153372569550004780167453306312049034228356563750151576600445086849243831991181827397370602066608042886621890137292059065832422506472564061580454835531434339774002859707544128919688719657851396520545313402501976079822253999824648442949726227929043844278639903450514978671602244617428491241849259345147237337598263372212015806839406688400710774512543817593687627732633822656487552744245371632271106953031554413055735349763235719970456760503032706725562773104401896991110657122832524696872823177137384647942866380707949147948313456982609577857744464707852562308881673898979891689069429460836569}
19603  63547956619286898214170647798712882987030511295236148715870276552349960: {19603,156776,176373,998733,1350813,1702677,1782053,2405757,2545790,2603741,2756973,3015782,3054948,3308513,3458757,3719630,4308260,4463556,4659326,4834037,5065781,5169912,5599022,5816151,5885453,6301862,6542885,6656180,7236830,7250453,7651317,7676536,7851462,7882277,7987416,7999293,8180678,8407790,8636103,8650382,8684196,8985843,9002660,9404993,9457985,9475268,9735933,10082613,10089348,10281075,10357790,10429077,10621505,10803192,10966480,11223422,11349582,11467173,11516717,11940773,12152861,12153591,12239375,12337290,12364085,12429348,12745806,13105301,13159776,13193013,13339238,14252056,14285933,14499422,14597261,14639108,14682485,14687250,14747486,14804748,14836902,14980277,15223997,15261185,15411053,15666400,15916142,15964997,16033460,16033563,16285917,16631093,17094566,17307941,17361230,17569157,17572385,17618982,17624700,17996637,18313422,18778901,18799680,18931661,19087575,19240152,19667717,20052992,20207462,20283221,20360080,20453285,20608862,20713460,20823544,20833476,20853230,21048053,21086862,21149640,21547406,21645171,22015790,22081037,22173053,22419237,22559616,22562657,22611435,22712501,22905090,23360117,23426487,23521253,23793345,23879102,24110517,24118864,24329501,24355157,24432096,24543942,24725630,24823901,24856152,24957284,25023876,25351238,25379568,25459653,25589057,26197901,26213453,26418948,26459992,26469237,26918375,27045230,27100853,27133722,27242942,27476877,27486108,27888675,27963171,28552014,28568942,28611713,28976030,29670756,29747920,29767491,29820477,30241253,30444878,30590276,30753077,31675790,31886885,32133413,32137361,32153493,32291501,32302050,32446430,32454276,32485917,32752253,32871326,33258782,33358948,33466410,33481893,33574555,33589505,33601790,33954424,34114733,34144797,34455520,34756430,34771236,34836197,34934235,35134718,35194862,35288885,35433317,35592053,35619782,35695142,35697504,36090881,36420005,36458157,37117173,37263184,37318526,37387877,37447790,37459541,37657217,37902101,38010948,38182958,38198727,38264262,38558516,38760933,38762460,38935716,39596741,39662753,39744597,40159692,40289466,40307406,40322148,40410788,40513816,41165813,41283617,41346624,41374148,41452061,41588375,41707716,41804237,41921082,41979795,42167333,42226022,42346662,42583781,42921701,43009437,43201790,43304558,43466573,43668833,43698148,43704006,43737185,44456453,44778448,44937348,44957973,44983301,45420326,45431981,45474675,45578043,45862982,45953261,46141013,46444718,46514952,46575813,46755821,46949741,47037662,47655640,47963650,48188253,48342581,48419822,48506320,48772001,48813797,49474037,49474317,49729911,49795293,49906050,50145197,50164517,50375754,50620541,50845790,50993060,51437176,51510053,51842148,51856001,51883622,52036077,52104485,52300661,52329321,52484622,53156597,53233120,53312180,53513630,53612595,53753597,53821133,54259575,54379622,54480308,54569610,54788801,54901533,54954916,55031822,55753277,56206276,56485893,56486392,57186768,57556380,57866823,57876880,57950741,58083053,58159877,58207584,58330577,58740005,58869461,59009637,59202275,59217230,59462116,59499917,59557155,59832293,59887260,60108917,60146837,60893373,60963701,61014948,61191672,61225661,61370861,61393472,61610141,62152877,62164517,62333635,62525382,63007937,63038872,63105437,63527632,63547191,63709862,63727598,63879744,63974616,64137761,64216356,64335114,64530424,64591553,64886180,64902830,65111490,65483532,65568693,65586221,65735924,65765477,66270542,66726917,66794030,66846173,66904622,67121582,67196660,67476917,67733877,68006981,68060837,68519500,68840631,68889075,69060830,69067656,69184133,69273957,69452256,69513413,69665222,69684005,69826253,69874241,70119317,70136453,70488006,70535777,70808637,70857326,70901375,70918731,71042730,71060676,71106797,71360102,71468586,71623301,71864712,71971443,72318101,72565541,72596727,72794333,73481680,73585790,73841383,73901102,73950712,74119460,74173493,74515517,74715230,74773533,74800362,74807582,75356513,75778912,76181285,76893357,76992581,77666357,77701113,77863416,77883396,78107981,78133788,78470081,78855557,78949901,79002597,79172702,79424033,79787966,80098997,80134756,80152836,80294680,80305118,80502717,80635992,80847801,81180173,81525077,81970301,81997437,82196548,82223400,82593813,82666890,82871477,82872996,82975790,83194551,83331352,83599886,83620806,83736797,83861597,84015326,84080973,84099230,84325982,84328901,84377757,84763685,84777422,84893798,84945880,85053317,85081650,85251276,85830005,86058893,86175053,86181926,86304317,86424675,86695457,87039093,87333717,87387352,87396341,87426785,87465230,87596343,87704960,87722115,88178016,88278593,88302948,88405601,88673956,88706837,88943352,89048050,89608228,89657141,89658276,89714837,89751077,89957318,90331515,90423053,90490142,90584126,90668536,90715491,90753760,90909701,90926081,91144173,91417542,91727157,92186320,92199077,92501325,93570256,93747771,93792197,93820046,94345838,94492973,94652597,94763355,95193533,95564115,95631653,95836262,96024341,96353616,96434835,96647637,97152830,97153982,97192984,97617566,97885000,98302516,98310771,98340376,98485601,98668080,99200268,99320702,99512877,99570948,99626981,99751790,99769022,99827861,99913061,...,4317348183832308184933854424622167135653528590358093524534816069707774549050611763355117736141271830353645139388934570589543209406639650203992795052923227377276852448973099304890533329119195425890601350792801488148774899938344179326607772664167901495917797316650260378083766819298411141929540147447051087437494474959888823216579552482116293140987022956856802276781051151119276388428179095510264464572601732906185713491595260414855718174179422841613255483428713307722990863284727296661034948156835058208068003721846257387001330878338328795095809636278280200834720604312215110031777063064906662668436436075714774859426088742471923293790429282675778120342265354321342413422275027045408767273560890256930540775027533747630662922275698056521717726139708100061573390354800799015364205362277566634522033281559475373911619029766709416286157490718285702886828430670167342374472020669513419208029369821348440577223172346532507111108484177953284005240672181178973920741978398501291402576529765947202027140978056735893421051164858582110657408291070150659428580971124924805084847929964485517041682431021856901768414254792481584895892629958359543070560080821997081840663511059339866659660574639575807989091576280877480196286759623268880663577183299684287918756250335760439348360370203172265489550725796444824037760162536159046425570539381805394182541181066561701460641643056253197521837961073978855767662426614854750462656053157238109505609707826998216931870220425567349073318705848490704912919735329622044599653603405738174481105982287439257733084795814513170621318232094480778565003174217687733830919718838972875919589828140977789943420270746706436043139363289930470715092779740773495843669828708251966947694208882759331444912725601850671415332279115445733244339078208111650025058390925375419301220687200444579607319244015022175909349663256552864219984956413459660294934524069631799961304169323281608206610561741034702318174973331247210699718657907784342677820207901298188354690298039304688460782186558020032900469367331041806931535181266175269630734814370125661076517875126933400663522733881017606686855495952971261078845310220117246972911578769709548058026243640707688509403877368274813786316206996424499812473605337215939554632752582434207828970076739060525468543694418498241509710957412427079668525826488384063942399985324023754783604795860533291879019533521172780477105752705478761358487312805898867345194366006605654955097989092557502973796871939399494262622612117427713689205849983111882885444019549345897520119855679156473504516849537830092733339706889937741749398712304475418333535435467260115798991775988242436529827469422144057182162520183056078754443230008630085415440606447375245786365337146276725505226251626210468528694060417870002634773096338666432864590599634970572058459038186537934019971562136326156571321655799012460196316450131017829616021075785875584534281032683391756791583503643511763541983403658993828843028142604042072550740980466350980959960609014004043608967417030805869195988147542830443366262497097569516512863923821840943932197264417942643479437143659286277136749745175565198639855585425905947782092}
19604  63796880765635931080329969270180914526845075949469841696811450932734075: {137179,195970,235164,744154,1192123,1213402,1331644,1425763,1682074,1801084,1892179,2008603,2270236,2306074,2384002,2473579,2773402,3053179,3168883,3207676,3515563,3675964,3818685,3939202,4073264,4321963,4404514,4523673,4582422,4611676,5101402,5239243,5385325,5410714,5579445,5951408,6379363,6462390,6492979,6695334,6716969,6722434,6893216,6953434,6988989,7030402,7059979,7173163,7625179,7722394,7754868,8076043,8183002,8320225,8398533,8643034,8862283,8872834,9452793,9595670,9979363,9984270,10201756,10401154,10468616,10649888,10665724,10855245,10934554,11253325,11315074,11514804,11578928,11777193,11844085,11971963,11981124,12074914,12271017,12470549,12611685,12975573,12981244,13026294,13068883,13443484,13452464,13503990,13589794,13708100,13905436,14212902,14404256,14721754,14947714,15132776,15134022,15241123,15289564,15536685,16075354,16150402,16204788,16449720,16572464,16825114,16835133,16994408,17024373,17546368,17590684,17648002,17722714,17815070,18021979,18220601,18298885,18505935,18644022,18973243,19118709,19499203,19583000,19709083,19739664,19782536,19882402,19956634,20008857,20041825,20127979,20754163,21104006,21274003,21378084,21585043,21714556,21733402,21749133,21958662,22030875,22121229,22207122,22255353,22544674,22719979,22839202,23152493,23491976,23499600,23642083,23744179,23846203,23874213,23995516,24050190,24381274,24417896,25066240,25165963,25450100,25641849,25653536,25843354,25871563,25891825,26029430,26041845,26049001,26135002,26428473,26437050,26673643,26873443,27470133,27661954,27777968,27868123,28024474,28115816,28199520,28860228,29248579,29710121,29892316,30079488,30148580,30311193,30323323,30407074,30540120,30808963,30913293,31070190,31099483,31125634,31196605,31235316,31250214,31279845,31292803,31630293,31678579,31724460,31985794,32147356,32200474,32321109,32576128,32605286,32725256,33023685,33057754,33074990,33114979,33141536,33365168,33839424,33946204,34055002,34357635,35120002,35225264,35292316,35449589,35818653,36032203,36178296,36635836,36648144,36815913,36958483,37088445,37184900,37284228,37326979,37435926,37520674,37535814,37694323,37872154,38026857,38069352,38237845,38334403,38607643,38924194,39181142,39344002,39413914,39561008,39603979,39628422,39689988,39760636,39964123,40502179,40567845,40700583,40864413,41017474,41229162,41698685,41835979,42276979,42443030,42474202,42828021,42853413,42871324,42889114,43069400,43272368,43314556,43464045,43502203,43589179,44109523,44199202,44454979,44506134,44621880,44642524,44955034,45007529,45229402,45313579,45399043,45526396,45667317,45845794,45885414,46361648,46578980,47210914,47279002,47513685,47596672,47619202,47846179,48198145,48453075,48610876,48669645,48681414,49170403,49306989,49416643,49425593,49489564,49825603,49888173,50038422,50056834,50199615,50313979,50402685,50513485,50642270,50681264,50931636,51019016,51681244,51683280,51717685,51914288,52072354,52134645,52156854,52320979,52702077,52740994,52792293,52941274,52992796,53341402,53425243,53429673,53542713,53546256,53674402,53719288,53740954,53743208,53762864,54205363,54432697,54622685,54747163,55128832,55159013,55586678,55610288,55730074,55894776,55896283,55973060,55977789,56060194,56171685,56258074,56462216,56464121,56577979,56879083,56954179,57016422,57253843,57274437,57345916,57396393,57775483,57837774,57997963,58032514,58143690,58272008,58294402,58403574,58734883,58808179,59173579,59569550,59665114,59916464,59943964,60239538,60434199,60461109,60483222,60616182,60632900,60639874,60770724,60834394,60973579,61546402,61751323,62019936,62061222,62101084,62178061,62450803,62561574,62659243,62803949,62881623,63339033,63486523,63519993,63691723,63741325,64168003,64251004,64296470,64438579,64439002,64706873,64802685,64956837,65043163,65176723,65509363,65547222,65556009,65774179,65965756,66103579,66306548,66393724,66412834,66496483,66541400,66640225,66919714,67167672,67406022,67787443,68100385,68105683,68130489,68308354,68611477,68693645,68794473,68924683,69122864,69236443,69381436,69608179,69667077,69751834,69772428,69979496,70189474,70257845,70501594,70556493,70607990,70888843,71311234,71483460,71945475,72346100,72365914,72547003,72629733,72759480,72914933,72984154,73125523,73202044,73847002,73908514,73979803,74327645,74461402,74595979,74859075,74873179,75135394,75314524,75563631,75639763,76017763,76249024,76268685,76463933,76489590,76741840,76763179,76963714,76973563,77155764,77610112,77752243,77763222,77825433,77872474,78114202,78657154,78679516,78726933,78765283,78798590,79018402,79113043,79261003,79334969,79409540,79849680,79859074,79919002,79968270,80270445,80663030,80704963,81032563,81107725,81191164,81353264,81569433,81588896,81677179,81709402,81720462,81854415,81873974,81903979,82128979,82169905,82307683,82362274,82432374,82539994,82547733,82836883,82895002,83367176,83653579,83995825,84072979,84097453,84309414,84648043,84688579,84729588,85043861,85172992,85299488,85597594,85621808,85639843,85649375,85780152,86047829,86061979,86334570,86815320,86843683,86936194,86952763,87204763,87311376,87311683,87424924,87558643,87698179,88041979,88151002,88177483,88378579,88445798,88544179,88669474,88825845,89014402,89193174,89376283,89830890,90005846,90071803,90102874,90275923,90311836,90445402,90812179,91057123,91242394,91522422,91580563,91639714,91731979,91762229,91787508,91809754,91831483,91852100,92090208,92149402,92358163,92365276,92438390,92563579,92603008,92649325,92871523,92892979,93020203,93185803,93346022,93386323,93405979,93579643,93783979,93788073,93802123,93839002,93873979,93979603,93984008,94198013,94199563,94232323,94411516,94438243,94558308,94723640,94745179,94747568,94893283,94944979,95252923,95291448,95291674,95337883,95447179,95564793,95573683,95590603,95591397,95623579,95655403,95792002,95809843,95819616,95862979,95961924,95964283,95994523,96049963,96063889,96068179,96072643,96074443,96078979,96161261,96324534,96451061,96502671,96795636,96942901,96954394,97119874,97329270,97354245,97539113,97667235,98225298,98328994,98603886,98766754,98821402,99405813,99584794,99698044,99733816,...,6476022275748462277400781636933250703480292885537140286802224104561661823575917645032676604211907745530467709083401855884314814109959475305989192579384841065915278673459648957335799993678793138835902026189202232223162349907516268989911658996251852243876695974975390567125650228947616712894310221170576631156241712439833234824869328723174439711480534435285203415171576726678914582642268643265396696858902599359278570237392890622283577261269134262419883225143069961584486294927090944991552422235252587312102005582769386080501996317507493192643714454417420301252080906468322665047665594597359994002654654113572162289139133113707884940685643924013667180513398031482013620133412540568113150910341335385395811162541300621445994383413547084782576589209562150092360085532201198523046308043416349951783049922339213060867428544650064124429236236077428554330242646005251013561708031004270128812044054732022660865834758519798760666662726266929926007861008271768460881112967597751937103864794648920803040711467085103840131576747287873165986112436605225989142871456687387207627271894946728275562523646532785352652621382188722377343838944937539314605840121232995622760995266589009799989490861959363711983637364421316220294430139434903320995365774949526431878134375503640659022540555304758398234326088694667236056640243804238569638355809072708091273811771599842552190962464584379796282756941610968283651493639922282125693984079735857164258414561740497325397805330638351023609978058772736057369379602994433066899480405108607261721658973431158886599627193721769755931977348141721167847504761326531600746379578258459313879384742211466684915130406120059654064709044934895706072639169611160243765504743062377950421541313324138997167369088402776007122998418673168599866508617312167475037587586388063128951831030800666869410978866022533263864024494884829296329977434620189490442401786104447699941956253984922412309915842611552053477262459996870816049577986861676514016730311851947282532035447058957032691173279837030049350704050996562710397302771899262904446102221555188491614776812690400100995284100821526410030283243929456891618267965330175870459367368154564322087039365461061532764105816052412220679474310494636749718710408005823909331949128873651311743455115108590788202815541627747362264566436118640619502788739732576095913599977986035632175407193790799937818529300281759170715658629058218142037730969208848301017791549009908482432646983638836254460695307909099241393933918176141570533808774974667824328166029324018846280179783518734710256775274306745139100009560334906612624098068456713127500303153200890173698487663982363654794741204133216085773243780274584118131664845012945128123160909671062868679548005719415088257839377439315702793041090626805003952159644507999649296885899452455858087688557279806901029957343204489234856982483698518690294474675196526744424031613678813376801421549025087635187375255465267645312975105488490743264542213906063108826111470699526471439940913521006065413451125546208803793982221314245665049393745646354274769295885732761415898295896626913965219155715488929415705124617763347797959783378138858921673138}
19605  64046773054260950973390660394037127560957689872708540783842725179929650: {39206,293955,313552,352746,1116231,1664555,1820103,1997466,2251355,2369543,2523111,2701626,2837795,3405354,3459111,3564106,3576003,3660899,4009595,4160103,4594955,4811514,4951463,5091580,5207482,5513946,5656019,5764595,5908803,6031564,6109896,6606771,6617026,6873633,6917514,7439260,7652103,8116071,8616520,8818403,8927112,9160039,9318652,9642587,9668074,9693585,10043001,10083651,10131562,10339824,10346711,10430151,10545603,11198044,11392403,11583591,11632302,11770906,12274503,12603724,12752195,12964551,13041851,13085770,13241179,13309251,13312360,13332155,14393505,14473660,14500906,14870107,14976405,15302634,15353072,15488083,15601731,15613259,15702924,15764554,15966631,15974832,15998586,16226555,16361356,16401831,16804355,16815580,16972611,17135125,17272206,17300764,17309719,17368392,17381795,17971686,18005320,18112371,18427163,18780823,18809986,18915970,18950536,19111955,19471866,19539441,20165226,20178696,20255985,20384691,20555479,20562150,20715580,20858154,21243010,21319353,21365659,21606384,21932960,21988355,22082631,22421571,22446844,22699164,22701033,22934346,23033434,23881546,24113031,24225603,24305722,24307182,24478750,24601339,24674580,24728170,24858696,25237671,25491612,26034823,26095771,26210602,26319552,26386026,26472003,26584071,26678476,26722605,26737939,27143195,27607411,27966033,28046183,28504112,28571866,28634599,28998844,29194522,29278216,29280007,29321699,29364970,29374500,29494972,29609496,29673804,29823603,29934951,29960554,29994395,30447994,30522370,30822106,31332800,31656009,31812625,31832284,31929994,32066920,32067126,32571834,32600103,32937993,33262186,33310683,33817011,34189132,34258803,34615882,34722460,35138314,35144770,35237964,35249400,35687399,35918227,35993274,36075285,36571911,36626844,36958163,37365395,37557802,37599360,37685725,37863322,38128231,38162683,38175150,38480304,38765031,39044145,39202503,39335434,39655575,40105984,40184195,40336867,40414924,40516039,40566442,40720160,40765703,40906570,41170051,41217724,41426920,41492931,41647088,41666952,41706460,42036711,42096106,42173724,42299280,42432755,43094812,43290342,43330739,44027299,44031580,44115395,44130763,44162074,44346106,44641639,44838474,45119232,45125314,45222870,45425002,45610611,45794795,45810180,46481125,46605285,46688451,46720234,46852974,46875321,47004377,47025307,47042506,47586690,47758204,47978691,48221034,48237728,48300711,48342979,48659002,48710314,48864192,48907929,49087884,49404439,49451260,49586631,49612485,49647802,49700795,49712304,49914568,50047752,50599931,50702476,50759136,50919306,50988007,51082503,51151123,51178114,51359527,52395802,52426906,52680003,52837896,52919984,52938474,53162083,53589155,53836750,54090460,54143195,54201706,54267444,54485884,54953754,54972216,55136219,55777350,55803155,55926342,56153889,56281011,56303721,56808231,56907995,56966347,57104028,57137884,57223426,57952060,57956707,58223725,58386291,58567339,58771713,59016003,59120871,59341512,59442633,59495840,59534982,59640954,60153031,60412307,60482506,60763595,60889756,61175971,61180552,61232059,61506154,61526211,61843743,61861955,62170903,62207123,63351580,63664545,63711303,63773770,63780251,64266826,64274722,64306986,64333671,64583002,64601555,64604100,64892860,64908552,64940459,64971834,65504506,65742652,66183751,66240995,66298803,66517564,66596891,66717896,66759201,66932820,66963786,67149110,67179010,67203580,67432551,67844103,67908848,68229466,68289594,68768691,68828121,68911040,69512860,69542472,69672394,69868470,69881419,69966325,70269436,70389724,70577770,70816371,70866634,70918503,71037811,71184106,71239564,71390284,71395008,71428803,71682395,72181762,72496243,72840010,72916314,72946279,73022121,73302247,74234346,74526368,74637052,74775754,74895580,74919082,74929955,75057633,75085251,75314434,75791125,75804202,75963405,76021896,76365916,76397454,76528524,76562839,77117032,77521866,77524920,77626355,77871432,78108531,78235281,79111491,79193482,79325506,79411911,79489194,79602499,79882151,80012103,80313755,80319384,80511603,80578932,80596283,80611431,80614812,80644296,80821576,80935943,81027632,81438827,82236007,82331626,82457195,82567234,82693248,82748296,82883185,82904122,82992155,83176750,83380017,83415432,83595111,83608474,83842164,83944067,83959590,84090291,84334666,84387111,84452044,84693324,85167562,85184663,85357859,85524633,85644131,85843402,86018874,86403580,86609116,86704363,86726795,86756661,86933146,87048771,87215535,87267089,87337666,87396296,87405319,87408012,87441603,87474370,87605361,88345787,88912906,89354325,89497671,89556896,89874696,89915946,89966602,90359307,90432625,90724833,90840652,90851783,90863962,90919063,90924273,90949350,90959811,91156086,91251591,91353259,91502555,91725964,91806971,91906522,92282026,92319603,92362379,92889436,93029904,93091833,93151626,93192931,93511642,93842361,93899482,94075324,94143155,94502539,94662451,95310311,95311280,95927300,96376506,96444705,96658503,96685162,96839644,97012640,97344851,97544002,97557607,97627594,98112983,98320833,98349395,98948074,98948634,99261925,99459822,99590586,99619251,99812100,99923347,...,9714033413622693416101172455399876055220439328305710430203336156842492735363876467549014906317861618295701563625102783826472221164939212958983788869077261598872918010189473436003699990518189708253853039283803348334743524861274403484867488494377778365815043962463085850688475343421425069341465331755864946734362568659749852237303993084761659567220801652927805122757365090018371873963402964898095045288353899038917855356089335933425365891903701393629824837714604942376729442390636417487328633352878880968153008374154079120752994476261239788965571681626130451878121359702483997571498391896039991003981981170358243433708699670561827411028465886020500770770097047223020430200118810852169726365512003078093716743811950932168991575120320627173864883814343225138540128298301797784569462065124524927674574883508819591301142816975096186643854354116142831495363969007876520342562046506405193218066082098033991298752137779698140999994089400394889011791512407652691321669451396627905655797191973381204561067200627655760197365120931809748979168654907838983714307185031080811440907842420092413343785469799178028978932073283083566015758417406308971908760181849493434141492899883514699984236292939045567975456046631974330441645209152354981493048662424289647817201563255460988533810832957137597351489133042000854084960365706357854457533713609062136910717657399763828286443696876569694424135412416452425477240459883423188540976119603785746387621842610745988096707995957526535414967088159104086054069404491649600349220607662910892582488460146738329899440790582654633897966022212581751771257141989797401119569367387688970819077113317200027372695609180089481097063567402343559108958754416740365648257114593566925632311969986208495751053632604164010684497628009752899799762925968251212556381379582094693427746546201000304116468299033799895796036742327243944494966151930284235663602679156671549912934380977383618464873763917328080215893689995306224074366980292514771025095467777920923798053170588435549036759919755545074026056076494844065595954157848894356669153332332782737422165219035600151492926151232289615045424865894185337427401947995263805689051052231846483130559048191592299146158724078618331019211465741955124578065612008735863997923693310476967615182672662886182304223312441621043396849654177960929254183109598864143870399966979053448263110790686199906727793950422638756073487943587327213056596453813272451526687323514862723648970475458254381691042961863648862090900877264212355800713162462001736492249043986028269420269675278102065385162911460117708650014340502359918936147102685069691250454729801335260547731495973545482192111806199824128659865670411876177197497267519417692184741364506594303019322008579122632386759066158973554189561635940207505928239466761999473945328849178683787131532835919710351544936014806733852285473725547778035441712012794790116636047420518220065202132323537631452781062883197901467969462658232736114896813320859094663239167206049289707159911370281509098120176688319313205690973331971368497574090618469531412153943828599142123847443844940370947828733573233394123557686926645021696939675067208288382509707}
19606  64297637223813755133070678385937159227217082310657672113347395733146990: {58809,274358,391940,450409,470328,529119,567733,919273,1036309,1488308,2384246,2426804,2663288,2667253,2851526,2899093,2996199,3361909,3364148,3477433,3602168,3784358,4017206,4052439,4399033,4513909,4540472,4612148,4768004,4947158,5108031,5346159,5546804,6106358,6114613,6337766,6364475,6415352,6682873,7031126,7217271,7351928,7539455,7637370,7811223,7878404,8146528,8270919,8489209,8601493,8643926,8809028,8937913,9047346,9164844,9223352,9299075,9925539,10202804,10376271,10478486,10770650,10821428,10832053,11158890,11274709,11648315,11902816,12266473,12486073,12758726,12924780,12985958,13390668,13433938,13444868,13786432,13906868,13977978,13997555,14060804,14119958,14346326,14502111,15197343,15206773,15250358,15444788,15509736,15754655,16067893,16152086,16175209,16366004,16581719,16603753,16640450,16797066,17286068,17448453,17656359,17724566,17745668,18092075,18834709,18905586,18940153,19191340,19628655,19958726,19968540,20403512,20408809,20451695,20802308,20937232,21019475,21299776,21331448,21449209,21625955,21710490,21751359,21869108,21966709,22506650,22630148,22953951,23029608,23157856,23406133,23554386,23646831,23688170,23943926,23962248,23997879,24120553,24149828,24542034,24941098,25033909,25223370,25618439,25894475,25908309,25951146,25962488,26052588,26137766,26886968,26904928,26942953,26957529,27007980,27179588,27416200,27810872,28058555,28135273,28214979,28373955,28425804,28808512,29120953,29207799,29443508,29895428,29904313,30247839,30265552,30268044,30391573,30482246,30579128,30785183,30843225,31073370,31287231,31864515,32150708,32300804,32409576,32418409,32899440,33144928,33277333,33348095,33650228,33670266,33988816,34048746,34401519,34413493,34550151,34883833,35092736,35165173,35181368,35296004,35445428,35630140,35632633,35822319,36043958,36248555,36441202,36458583,36460773,36562153,36597770,36718125,36868715,37011870,37092255,37208533,37288044,37946486,38237418,38490709,38998406,39166000,39315903,39397909,39418166,39479328,39565072,39579039,39764804,39790355,39913268,40017714,40083650,40255958,41279593,41508326,41545813,41634409,41988073,42208012,42548006,42736415,42756168,42857799,43170086,43403075,43429112,43466804,43498266,43675247,43791783,43912633,43917324,44047455,44061750,44242458,44414244,44510706,44940831,45089348,45119209,45439958,45671991,45678404,45783555,46233159,46304986,46734133,46983952,46999200,47284166,47322553,47488358,47657209,47692406,47748426,47894991,47991032,48100380,48100689,48488809,48762548,48835792,48857751,49231093,49804393,49893279,50132480,50331926,50518655,50900200,51283698,51307072,51422953,51522155,51686708,51743126,51783650,51923823,52058860,52083690,52098002,52133075,52270004,52707471,52717155,52856946,52874100,53248693,53347286,53532983,53746886,53868515,53989911,54940266,54959413,55039475,55266709,55323908,55555936,55736246,55953913,56048948,56231632,56336703,56399040,56785909,56794983,56861113,57262725,57720456,58378159,58497158,59003151,59083753,59420242,59697755,59784632,60026773,60098809,60158976,60297160,60457909,60622386,60646646,60814148,60849663,61080240,61359855,61524409,61617926,61814075,61826586,62140380,62198966,62251268,62393210,62470632,62500428,62559690,62585606,63144159,63260586,63334633,63357158,63378095,63448920,63949909,63971588,64017913,64294712,64329551,64400948,64642218,64935513,65029333,65152256,65210572,65450512,66047370,66115508,66149980,66221653,66229958,66243111,66283072,66519159,66613909,66730336,67257711,67477403,67519093,67613075,67678848,67687971,67834305,67892408,68107355,68110004,68137503,68220409,68715270,69411253,69493127,69535093,70080351,70240004,70279461,70450528,70563759,70584632,70718879,70899178,70998709,71380035,71422355,71637306,71951413,72064406,72331551,72356592,72404759,72420853,72440075,72711913,72769909,72988503,73065471,73271672,73296288,73343303,73483163,73631826,73858153,73916966,74176890,74369800,74471703,74568456,74653958,74871852,75041348,75071628,75250453,75388646,75632233,75744308,75848809,76053714,76112195,76138704,76378959,76471759,76475690,76668806,76703593,76767171,77215286,77746153,77848388,78205909,78362284,78593703,78640359,78688004,78759913,78827828,79122016,79189475,79206709,79207958,79256844,79379976,79407711,79521272,79928246,80130793,80417209,80464693,80755125,80841973,81004358,81075433,81086291,81116075,81135690,81302559,81401166,81536953,81728826,81855733,82034948,82036309,82178315,82430631,82458324,82703209,83146955,83397370,83609653,83666025,83671958,83889513,84004475,84443413,84553958,84886060,84948404,85601209,85640053,85656042,85706826,85742648,85778228,85833193,85835139,86138800,86176309,86401813,86544736,86629112,86891075,86928090,87004406,87178358,87455209,87769813,87836795,87942073,87987155,88010473,88219046,88398404,88678633,88808809,88841173,88909958,88937833,89012268,89049455,89237855,89243760,89285048,89286709,89302473,89461431,89473333,89748409,89910068,90015058,90458804,90595093,90627158,90723759,90734953,90790393,90798086,91052792,91334634,91561909,91688809,91691588,91770828,92058709,92154613,92178409,92202133,92259231,92503993,92661493,92723296,92880373,93154153,93157960,93256213,93276409,93296315,93619475,93646453,93991271,94025209,94210933,94260073,94421828,94434709,94496053,94558004,94715833,94812853,94983673,94996309,95027370,95106793,95193344,95222713,95238404,95340539,95452393,95457395,95660655,95692358,95701909,95838709,95946709,95964853,95985913,95989909,96029113,96082933,96091753,96095893,96097513,96098809,96171103,96396290,96400239,96412083,96460479,96874503,96906150,96952823,97221752,97339290,97362828,97457751,98256759,98340806,98360983,98613978,98833286,98851186,98979128,99387899,99651206,99776346,...,12952044551496924554801563273866501406960585771074280573604448209123323647151835290065353208423815491060935418166803711768629628219918950611978385158769682131830557346919297914671599987357586277671804052378404464446324699815032537979823317992503704487753391949950781134251300457895233425788620442341153262312483424879666469649738657446348879422961068870570406830343153453357829165284537286530793393717805198718557140474785781244567154522538268524839766450286139923168972589854181889983104844470505174624204011165538772161003992635014986385287428908834840602504161812936645330095331189194719988005309308227144324578278266227415769881371287848027334361026796062964027240266825081136226301820682670770791622325082601242891988766827094169565153178419124300184720171064402397046092616086832699903566099844678426121734857089300128248858472472154857108660485292010502027123416062008540257624088109464045321731669517039597521333325452533859852015722016543536921762225935195503874207729589297841606081422934170207680263153494575746331972224873210451978285742913374774415254543789893456551125047293065570705305242764377444754687677889875078629211680242465991245521990533178019599978981723918727423967274728842632440588860278869806641990731549899052863756268751007281318045081110609516796468652177389334472113280487608477139276711618145416182547623543199685104381924929168759592565513883221936567302987279844564251387968159471714328516829123480994650795610661276702047219956117545472114738759205988866133798960810217214523443317946862317773199254387443539511863954696283442335695009522653063201492759156516918627758769484422933369830260812240119308129418089869791412145278339222320487531009486124755900843082626648277994334738176805552014245996837346337199733017234624334950075175172776126257903662061601333738821957732045066527728048989769658592659954869240378980884803572208895399883912507969844824619831685223104106954524919993741632099155973723353028033460623703894565064070894117914065382346559674060098701408101993125420794605543798525808892204443110376983229553625380800201990568201643052820060566487858913783236535930660351740918734736309128644174078730922123065528211632104824441358948620989273499437420816011647818663898257747302623486910230217181576405631083255494724529132872237281239005577479465152191827199955972071264350814387581599875637058600563518341431317258116436284075461938417696602035583098019816964865293967277672508921390615818198482787867836352283141067617549949335648656332058648037692560359567037469420513550548613490278200019120669813225248196136913426255000606306401780347396975327964727309589482408266432171546487560549168236263329690025890256246321819342125737359096011438830176515678754878631405586082181253610007904319289015999298593771798904911716175377114559613802059914686408978469713964967397037380588949350393053488848063227357626753602843098050175270374750510930535290625950210976981486529084427812126217652222941399052942879881827042012130826902251092417607587964442628491330098787491292708549538591771465522831796591793253827930438311430977858831410249235526695595919566756277717843346276}
19607  64549477027280939863666120524272952646966245852972812979234016154163476: {78412,411537,489925,587910,627104,705492,1860385,2232462,2330377,2800369,3033505,3151897,3329110,3576369,3640206,3972913,3994932,4091593,4205185,4277289,4326517,4502710,4739086,5046222,5403252,5613433,5675590,5676537,5765185,5851729,5960005,6025809,6321433,6432937,6810708,6918222,6933505,7128212,7152006,7321798,7420737,7960513,8019190,8070433,8320206,9159537,9189910,9248569,9506649,9623028,9848005,9902926,10183160,10307593,10414964,10421749,10546689,10777009,11011285,11027892,11312038,11393569,11456055,11529190,11817606,12063128,12219792,12298837,12753505,12965889,13213542,13234052,13463749,13526785,13571019,13747266,13835028,13941289,14878520,15304206,15614857,15717729,16155975,16232142,16738335,16806085,17233040,17383585,17450113,17576005,17636806,17853073,17854224,18320078,18429049,18637304,18665017,19097353,19138089,19285174,19305985,19326049,19336148,19387170,19478937,19589593,20086002,20150907,20167302,20263124,20457505,20679648,20693422,20860302,20966967,20967493,21091206,21179937,21519489,21607585,22182085,22396088,22717177,22784806,22875537,22938553,23167182,23264604,23526097,23541812,23808289,23989175,24217369,24228129,24334513,24549006,24960675,25195599,25207448,25504390,25929102,26002885,26083702,26171540,26482358,26586849,26618502,26620753,26624720,26664310,26756737,27198193,27336385,27524377,28287685,28358379,28787010,28947320,29001812,29505013,29740214,29749753,29938089,29952810,30187285,30605268,30706144,30783697,30976166,31203462,31226518,31405848,31529108,31873633,31933262,31949664,31997172,32453110,32565735,32722712,32803662,33145489,33462613,33608710,33631160,33759975,33945222,33974485,34270250,34544412,34601528,34619438,34652917,34736784,34763590,34843369,35331579,35439577,35532255,35691073,35915889,35943372,36010640,36224742,36804385,36813051,36854326,36961969,37227409,37369285,37411647,37415317,37561646,37619972,37831940,37835055,37901072,38000473,38223910,38232073,38926719,38943732,39078882,39206649,40164913,40188385,40330452,40357392,40376005,40511970,40769382,41110958,41124300,41192569,41431160,41716308,41992153,42020617,42062785,42176017,42486020,42638706,42731318,43212768,43677829,43865920,43976710,44120005,44165262,44306785,44537675,44843142,44893688,45259009,45398328,45402066,45723369,45868692,46066868,46610055,47187433,47521969,47763092,47932897,48177649,48226062,48428473,48451206,48591937,48611444,48614364,48957500,49202678,49244053,49349160,49456340,49706005,49717392,49891585,50301109,50475342,50505399,50605129,50983224,51073119,51866677,52069646,52191542,52311553,52421204,52639104,52760015,52772052,52944006,53168142,53356952,53445210,53475878,53832217,54065937,54076273,54286390,54333505,54661803,54778309,54896655,55141897,55214822,55517805,55930369,55932066,56092366,56257873,56361685,56833897,56919729,57008224,57048133,57098005,57105397,57143732,57269198,57356127,57997688,58389044,58497609,58556432,58560014,58643398,58729940,58749000,58864993,58989944,59127249,59218992,59347608,59405857,59647206,59869902,59921108,59988790,60026571,60125475,60383937,60418513,60895988,60953185,61044740,61277497,61541509,61622833,61644212,61761553,62262489,62665600,63312018,63625250,63664568,63822009,63859988,64112713,64133840,64134252,64578673,64608385,64755129,65034793,65073575,65138953,65143668,65200206,65247399,65337505,65599753,65875986,66092625,66300649,66363687,66524372,66621366,66766059,67490809,67634022,67841209,68159937,68178889,68378264,68517606,69154885,69231764,69444920,69457479,69512473,69581113,70061185,70150897,70276628,70289540,70475928,70498800,70926249,71071573,71232537,71374798,71393113,71538609,71622639,71836454,71986548,72150570,72580513,72755653,72809329,73143822,73253688,73314529,73473433,73517509,73879153,73916326,74580697,74730790,75024817,75115604,75198720,75371450,75497889,75726644,75800473,75966913,75979777,76017685,76256462,76325366,76350300,76925547,76960608,77054017,77239093,77428213,77530062,77614689,77675475,77814085,78088290,78124417,78125535,78147003,78405006,78670868,79285419,79311150,79671193,79964485,80020929,80211968,80368390,80501185,80620329,80673734,80774689,80829848,80944369,81032078,81132884,81349717,81440320,81447193,81513215,81531406,81589153,81813140,82186753,82192249,82340102,82410399,82435448,82644385,82687475,82853840,82985862,83294176,83333904,83412920,83604369,83952709,84073422,84192212,84347448,84465877,84527809,84598560,84865510,85069033,85070833,85137505,85652929,86076649,86189624,86580684,86606737,86661478,86953333,87745737,87800005,87842497,88054598,88063160,88230790,88261526,88324148,88423813,88692212,88731817,89002633,89130363,89283278,89521657,89676948,89733313,90238464,90250628,90442177,90445740,90745009,90850004,90933579,90969969,91221222,91273369,91589590,91620360,92239093,92426889,92509153,92614033,92737393,92739879,92962250,93210570,93298449,93376902,93440468,93589815,93705948,93750642,93801685,93839535,93878409,94008754,94017169,94050614,94085012,94191337,94680385,94890879,95035737,95173380,95516408,95651569,95957382,96211753,96442068,96475456,96601422,96685958,96963327,97310485,97318004,97420628,97728384,97815858,97952855,98175768,98360005,98505877,98534785,98541169,98739409,98808878,98902520,99071055,99173262,99224970,99295604,99344937,99401590,99424608,99829136,...,19428066827245386832202344910799752110440878656611420860406672313684985470727752935098029812635723236591403127250205567652944442329878425917967577738154523197745836020378946872007399981036379416507706078567606696669487049722548806969734976988755556731630087924926171701376950686842850138682930663511729893468725137319499704474607986169523319134441603305855610245514730180036743747926805929796190090576707798077835710712178671866850731783807402787259649675429209884753458884781272834974657266705757761936306016748308158241505988952522479577931143363252260903756242719404967995142996783792079982007963962340716486867417399341123654822056931772041001541540194094446040860400237621704339452731024006156187433487623901864337983150240641254347729767628686450277080256596603595569138924130249049855349149767017639182602285633950192373287708708232285662990727938015753040685124093012810386436132164196067982597504275559396281999988178800789778023583024815305382643338902793255811311594383946762409122134401255311520394730241863619497958337309815677967428614370062161622881815684840184826687570939598356057957864146566167132031516834812617943817520363698986868282985799767029399968472585878091135950912093263948660883290418304709962986097324848579295634403126510921977067621665914275194702978266084001708169920731412715708915067427218124273821435314799527656572887393753139388848270824832904850954480919766846377081952239207571492775243685221491976193415991915053070829934176318208172108138808983299200698441215325821785164976920293476659798881581165309267795932044425163503542514283979594802239138734775377941638154226634400054745391218360178962194127134804687118217917508833480731296514229187133851264623939972416991502107265208328021368995256019505799599525851936502425112762759164189386855493092402000608232936598067599791592073484654487888989932303860568471327205358313343099825868761954767236929747527834656160431787379990612448148733960585029542050190935555841847596106341176871098073519839511090148052112152989688131191908315697788713338306664665565474844330438071200302985852302464579230090849731788370674854803895990527611378102104463692966261118096383184598292317448157236662038422931483910249156131224017471727995847386620953935230365345325772364608446624883242086793699308355921858508366219197728287740799933958106896526221581372399813455587900845277512146975887174654426113192907626544903053374647029725447297940950916508763382085923727297724181801754528424711601426324924003472984498087972056538840539350556204130770325822920235417300028681004719837872294205370139382500909459602670521095462991947090964384223612399648257319731340823752354394994535038835384369482729013188606038644017158245264773518132317947108379123271880415011856478933523998947890657698357367574263065671839420703089872029613467704570947451095556070883424025589580233272094841036440130404264647075262905562125766395802935938925316465472229793626641718189326478334412098579414319822740563018196240353376638626411381946663942736995148181236939062824307887657198284247694887689880741895657467146466788247115373853290043393879350134416576765019414}
19608  64802296232038472069146682922417955600107659538904473116843253730977846: {98015,117618,215567,548716,606887,724127,783880,881865,900818,940656,1058238,1135466,1309247,1838546,1970207,2072618,2086607,2551487,2667527,2706191,2938007,2976616,3246647,3348693,3477791,3516287,3708647,4399487,4437791,4768492,4853608,4993665,5326576,5334506,5460309,5703052,5798186,5925407,5992398,6721391,6723818,6728296,6754065,6910391,6954866,7108629,7204336,7476191,7568716,7569333,7626767,7702007,8034412,8104878,8513385,8798066,8910265,8938847,9027818,9080944,9224296,9311927,9536008,9894316,9944327,10216062,10377333,10555237,10611407,10692318,10728009,10870127,10980887,10982697,11093608,11386391,11533607,12028785,12212716,12229226,12480309,12523967,12675532,12728950,12830704,13018705,13071647,13365746,13399391,13784865,13944191,14062252,14434542,14487191,14703856,14854389,15078910,15244367,15274740,15424127,15622446,15756808,16105391,16293056,16307641,16427087,16541838,16542565,16961807,16968057,16978418,17202986,17287852,17293785,17352791,17494727,17618056,17671967,17726409,17875826,18094692,18096527,18329688,18446704,18449447,18598150,18977327,19596577,19818191,19820313,19851078,20132327,20202047,20405608,20620899,20752542,20956972,21244007,21541300,21642856,21664106,21762287,22056517,22317780,22549418,22587791,22724927,22956309,23296630,23442791,23749367,23805632,23817407,23919407,24123191,24157127,24170185,24348213,24532946,24972146,25328905,25517452,25642391,25849560,25944287,25971916,26145191,26455209,26479391,26781336,26846087,26867876,26889736,26945927,26979191,27344567,27480117,27572864,27675887,27813736,27955956,27973391,27995110,28121608,28138391,28239916,28270247,28632373,28692652,28927761,29004222,29080755,29124191,29156927,29255087,29418527,29427265,29940191,30129003,30250953,30276337,30394686,30394967,30413546,30427391,30500716,30889576,31019472,31040133,31290453,31509310,31636809,32070407,32135786,32304172,32350418,32714425,32732008,32804567,33027167,33163438,33185927,33207506,33280900,33312791,33594132,33661007,34177209,34417391,34448807,34572136,34750773,34896906,35200391,35312718,35387567,35449132,35491336,35636687,35667791,35823191,36184150,36252265,36288191,36382489,36597191,36751391,36823509,36936167,37243487,37335527,37396847,37669418,37811172,37880306,38256585,38382680,38404007,38616527,38893653,39125553,39257310,39281977,39312047,39411385,39522887,39613127,39723537,39917452,39927753,39937080,39943391,39996465,40571207,40807024,40817618,40903390,40958087,41284391,41550647,41604616,41874464,41904647,42038950,42599552,42662896,42898418,43180515,43221887,43251910,43420980,43502718,43738216,43917791,43933418,44522927,44610321,44929215,45013300,45238727,45260296,45324287,45466727,45751007,45907902,45921191,46059216,46062791,46315712,46464249,46687333,46739687,46805193,46812266,46839777,47020367,47024965,47108772,47289925,47293662,47376340,47887852,47899893,47913167,47924496,47995758,48162791,48241106,48299656,48577391,48679665,48687647,49084068,49205493,49237007,49837607,49882196,50067818,50380247,50413065,50446740,50650367,50747977,50892791,50917833,51027191,51236878,51405375,51455927,51616201,51788950,51816618,51902292,51924976,51929157,52105176,52145385,52254287,52275532,52333727,52386647,53107525,53281391,53773936,53809856,53885906,53907407,53915058,54015960,54337113,54359176,54580391,54832400,54991847,55281489,55621744,55706497,55960847,55986191,56117110,56270546,56342469,56429958,56516567,56592047,56747910,56851608,56868191,56893247,56968367,57335865,57583585,57617024,57715607,57839447,58086527,58241906,58415598,58504727,58618323,58871807,58887016,59091191,59188487,59703865,59790856,59808626,59830981,60322127,60495678,60531104,60536088,60632567,60764305,60767955,60783146,60964492,60989087,61036487,61154073,61158256,61196875,61570366,61602791,61666437,61686450,61813967,61820425,62047847,62146740,62304191,62443607,62513207,62574462,62744687,62998391,63090407,63708167,63729030,63958059,64096977,64229807,64301416,64601608,64819152,64836818,64903847,65060087,65371391,65526505,65703191,65798880,65965065,66230327,66247893,66252191,66289856,66361391,66554666,66696190,66817847,67012391,67141727,67264713,67300456,67340532,67420967,67977632,68060207,68097492,68103099,68166047,68482367,68803038,68826986,68943047,69100302,69441191,69565007,69626807,69767666,69852791,70185472,70281527,70330346,70362736,70362791,70592008,70726117,70890856,70948127,71260280,71265266,71429665,71644638,71685167,71783927,71843087,72087916,72131017,72157391,72339093,72497110,72566807,72676809,72741191,72882404,72914927,72917166,72921546,72986305,73124306,73195540,73412425,73436250,73527407,73603391,73737430,73804017,74023740,74169191,74184510,74417066,74430767,74576088,74653727,74820191,74893967,74901385,75415921,75479567,75660887,75713013,75892972,76025833,76119985,76305925,76474836,76608527,76981418,76995287,77055265,77152391,77602607,77668789,77774327,77825687,77996812,78081407,78104469,78287313,78332000,78631806,78787847,78795818,78836332,78958656,79130144,79158078,79283807,79416009,79529608,79580710,79675391,79752213,79824985,79826536,79917791,80035428,80094407,80167300,80167815,80213817,80301887,80476391,80492207,80511916,80539607,80712791,80853767,81087287,81180191,81429585,81503087,81731567,82128241,82553927,82559186,82627487,82774007,82822233,83016652,83091626,83107967,83155465,83208767,83268818,83576857,83622191,83636327,83678687,83833391,83898099,83917367,83959247,83976146,84138549,84250391,84305447,84387791,84416024,84456191,84673727,84862391,85076087,85096012,85472830,85512336,85666127,85715598,85846391,85897607,85903797,86340172,86415191,86427647,86489807,86539391,86539705,86601191,86678449,86806150,86858224,86933608,86967791,86996532,87255887,87350494,87504191,87583566,87748967,87825266,87834648,87840021,87845785,87861925,87965097,87967391,88035767,88069847,88092527,88094910,88123500,88239167,88362191,88473191,88484916,88638191,88729333,88828488,88919927,88962791,89021412,89080007,89269727,89374007,89470809,89487791,89804853,89881662,89883407,89983185,90002687,90178696,90189191,90238418,90391967,90581807,90619391,90759191,90805391,90842207,90879916,90979127,91078391,91343982,91352927,91356808,91431191,91474391,91560191,91567110,91611287,91687391,91862447,92217791,92405087,92466318,92519807,92565191,92595287,92609972,92684807,92903567,93073391,93149687,93177191,93252167,93272447,93418967,93451727,93468266,93574391,93817127,93829247,93847367,93894505,93942791,93967904,93998400,94059191,94233287,94276967,94472327,94513127,94518191,94568332,94622687,94645106,94658305,94737791,94830191,94897391,94941191,94968027,94976716,94988447,95001167,95030567,95148191,95183327,95314418,95350297,95373647,95384812,95390807,95421191,95437875,95473607,95483207,95489567,95496852,95536247,95548391,95635391,95692007,95730287,95764391,95789982,95799191,95829253,95840687,95883191,95900327,95904047,95911391,95952767,95979287,95982064,95985191,96004847,96024167,96048191,96052367,96077207,96102287,96102791,96111527,96115391,96117191,96118247,96200760,96201378,96977618,97525096,97671584,97715502,97800309,98338585,98462186,98813979,99608786,99786558,99932049,99991297,...,29142100240868080248303517366199628165661317984917131290610008470527478206091629402647044718953584854887104690875308351479416663494817638876951366607231784796618754030568420308011099971554569124761559117851410045004230574583823210454602465483133335097445131887389257552065426030264275208024395995267594840203087705979249556711911979254284978701662404958783415368272095270055115621890208894694285135865061697116753566068268007800276097675711104180889474513143814827130188327171909252461985900058636642904459025122462237362258983428783719366896715044878391355634364079107451992714495175688119973011945943511074730301126099011685482233085397658061502312310291141669061290600356432556509179096536009234281150231435852796506974725360961881521594651443029675415620384894905393353708386195373574783023724650526458773903428450925288559931563062348428494486091907023629561027686139519215579654198246294101973896256413339094422999982268201184667035374537222958073965008354189883716967391575920143613683201601882967280592095362795429246937505964723516951142921555093242434322723527260277240031356409397534086936796219849250698047275252218926915726280545548480302424478699650544099952708878817136703926368139895922991324935627457064944479145987272868943451604689766382965601432498871412792054467399126002562254881097119073563372601140827186410732152972199291484859331090629709083272406237249357276431721379650269565622928358811357239162865527832237964290123987872579606244901264477312258162208213474948801047661822988732677747465380440214989698322371747963901693898066637745255313771425969392203358708102163066912457231339951600082118086827540268443291190702207030677326876263250221096944771343780700776896935909958625487253160897812492032053492884029258699399288777904753637669144138746284080283239638603000912349404897101399687388110226981731833484898455790852706990808037470014649738803142932150855394621291751984240647681069985918672223100940877544313075286403333762771394159511765306647110279759266635222078168229484532196787862473546683070007459996998348212266495657106800454478778453696868845136274597682556012282205843985791417067153156695539449391677144574776897438476172235854993057634397225865373734196836026207591993771079931430902845548017988658546912669937324863130190548962533882787762549328796592431611199900937160344789332372058599720183381851267916268220463830761981639169789361439817354580061970544588170946911426374763145073128885590946586272702631792637067402139487386005209476747131958084808260809025834306196155488734380353125950043021507079756808441308055209073751364189404005781643194487920636446576335418599472385979597011235628531592491802558253076554224093519782909057966025737367897160277198476920662568684907820622517784718400285998421835986547536051361394598507759131054634808044420201556856421176643334106325136038384370349908142261554660195606396970612894358343188649593704403908387974698208344690439962577283989717501618147869121479734110844527294360530064957939617072919995914105492722271855408594236461831485797426371542331534821112843486200719700182370673060779935065090819025201624865147529121}
19609  65056098619906467058240125640833039692288044773154625984332410133127471: {19609,156824,176427,685895,823074,979850,1175820,1254208,1351227,1410984,1587357,1703199,2604539,2757819,3108927,3309527,3720770,4246907,4464924,4660754,4835519,5600738,5887259,5960615,6067010,6303794,6658220,7065131,7128815,7152738,7280412,7945826,7989864,8001759,8071259,8183186,8344007,8410370,8554578,8653034,8697279,8988597,9005420,9407879,9460895,9478172,9706907,10043015,10085727,10092444,10432299,10806504,10930127,11226866,11351180,11353074,11520251,11530370,11703458,11920010,12051618,12157317,12367895,12642866,12865874,13197099,13465127,13541727,13621416,13745759,13787207,13836444,13867010,14256424,14304012,14394347,14643596,14841474,15265895,15324093,15415799,15844415,15921026,16038380,16038477,16140866,16640412,17451899,17577815,17854907,18319074,18343839,18379820,18497138,18937499,19013298,19093425,19246056,19328027,19696010,19805852,20048619,20253647,20366320,20615186,20807567,20829928,20843498,20969639,21093378,21554018,21609815,21651813,21894251,22022570,22055784,22413527,22569599,22618365,22624076,22787138,22912110,23058380,23367311,23433669,23528519,23635212,24126256,24337019,24439584,24597674,24606407,24812757,25467627,25507010,25804479,25931778,26196215,26427084,26468104,26813739,26926625,26927498,27028379,27053570,27109199,27142038,27200987,27494532,27670056,27882578,27897225,28456667,28620527,28640507,29628527,29757040,29776617,30250619,30608412,30762539,31054919,31128813,31229714,31435458,31896815,32143319,32301467,32311950,32464284,32464895,32496159,32976191,33476670,33574607,33584845,33612170,33824127,34125239,34466080,34767170,34900226,34944945,35152010,35158799,35273612,35299895,35444219,35706146,35708448,35865815,36101999,36404039,36640156,36799419,36858098,37274608,37330034,37399391,37458219,37668839,38125895,38194706,38270939,38276178,38570348,38611970,38652098,38659247,38672296,38774340,38957874,39179186,39602759,39608939,40172004,40301814,40334604,40380215,40526248,40915010,41178527,41296319,41359296,41386844,41601125,41720604,41817119,41933934,41934986,41992665,42180359,42182412,42262199,42359874,42934907,43038978,43215170,43479959,43506333,43682327,44311415,44364170,44676791,44792176,44997227,45183359,45434354,45569612,45592029,45620319,45751074,45877106,46155227,46334364,46529208,46964219,47052194,47083624,47263965,47564279,47616578,47978350,48203679,48434738,48456258,48525627,48669026,48682127,48787007,48828839,49098012,49489259,49745157,49811259,49896815,49905047,49921350,50391198,50414896,51008780,51229127,51526139,51858204,52005770,52167404,52316999,52343080,52345359,52964716,52969077,53173698,53237004,53241506,53249440,53328620,53513474,53569247,53770151,53837759,54276225,54396386,54672770,54805679,55037471,55048754,55909367,56162327,56263739,56266625,56504127,56526407,56575370,56716758,56820459,57574020,57894640,57968639,58003624,58177799,58885965,58887899,59010026,59220425,59480428,59499506,59850719,59859815,59876178,59905620,60165419,60374570,60982487,61210536,61226427,61355085,61412288,61547831,61567394,61629179,61768007,61952332,62029499,62172059,62352745,62406924,62453036,62811696,63058216,63058425,63124871,63747266,63823679,63866524,63899328,63994344,64157519,64347627,64585307,64877865,64906220,65131470,65254077,65344415,65445424,65607324,65785751,65900127,66099527,66290978,66866759,66925226,67217420,67262320,67519950,67890444,67948970,68540500,68861853,69088824,69203056,69205439,69238876,69305834,69473568,69519647,69527180,69534827,69567719,69588407,69686738,69848219,70140911,70151147,70158119,70218399,70663158,70879154,70940493,71064510,71382146,71831778,71886744,71993637,72021280,72340379,72361659,72449484,72763127,72816827,73317371,73608770,73626102,73708652,73864021,73896911,73923938,74196359,74454818,74538479,74738570,74823294,74830634,75101727,75123292,75239944,75379727,75663880,75670110,75802144,76000946,76066907,76205615,76447820,76464146,76855317,76982399,77016299,77436167,77635547,77683425,77690411,77724927,77853438,77887464,78157764,78366671,78413298,78494279,78906359,78974267,79937207,80124011,80329826,80376770,80660904,80714784,80752010,80828859,80872587,81023940,81205199,81538764,81550199,82221916,82248600,82385138,82565927,82862320,83432616,83887439,83984306,84041234,84125570,84175665,84352034,84354887,84373679,84405819,84644937,84972040,85079591,85121865,85277412,85334459,85462636,86201627,86425536,86832239,87355658,87362859,87623397,87731840,87953420,88240010,88330524,88432919,88613570,88734299,89075350,89686284,89712939,89742551,89779079,89787376,90109895,90451739,90518018,90743517,90754331,90796656,90804132,90937787,91103005,91174719,91194959,91446738,91472507,91494425,91737384,91784159,92133736,92355549,92529675,92623547,92895599,93220110,93821111,93861693,94230527,94374866,94403039,94522007,94866215,95043938,95222879,95526184,95593545,95661527,95865794,96221807,96355298,96452124,96816839,96856946,96902412,97129799,97183874,97222888,97228728,97255227,97496015,97915000,98085659,98405356,98488106,98545415,98698320,98912680,99412010,99434784,99473531,99783170,99831999,99943919,...,38856133654490773664404689821599504220881757313222841720813344627369970941455505870196059625271446473182806254500411135305888884659756851835935155476309046395491672040757893744014799962072758833015412157135213393338974099445097613939469953977511113463260175849852343402753901373685700277365861327023459786937450274638999408949215972339046638268883206611711220491029460360073487495853611859592380181153415596155671421424357343733701463567614805574519299350858419769506917769562545669949314533411515523872612033496616316483011977905044959155862286726504521807512485438809935990285993567584159964015927924681432973734834798682247309644113863544082003083080388188892081720800475243408678905462048012312374866975247803728675966300481282508695459535257372900554160513193207191138277848260498099710698299534035278365204571267900384746575417416464571325981455876031506081370248186025620772872264328392135965195008551118792563999976357601579556047166049630610765286677805586511622623188767893524818244268802510623040789460483727238995916674619631355934857228740124323245763631369680369653375141879196712115915728293132334264063033669625235887635040727397973736565971599534058799936945171756182271901824186527897321766580836609419925972194649697158591268806253021843954135243331828550389405956532168003416339841462825431417830134854436248547642870629599055313145774787506278777696541649665809701908961839533692754163904478415142985550487370442983952386831983830106141659868352636416344216277617966598401396882430651643570329953840586953319597763162330618535591864088850327007085028567959189604478277469550755883276308453268800109490782436720357924388254269609374236435835017666961462593028458374267702529247879944833983004214530416656042737990512039011599199051703873004850225525518328378773710986184804001216465873196135199583184146969308975777979864607721136942654410716626686199651737523909534473859495055669312320863574759981224896297467921170059084100381871111683695192212682353742196147039679022180296104224305979376262383816631395577426676613329331130949688660876142400605971704604929158460181699463576741349709607791981055222756204208927385932522236192766369196584634896314473324076845862967820498312262448034943455991694773241907870460730690651544729216893249766484173587398616711843717016732438395456575481599867916213793052443162744799626911175801690555024293951774349308852226385815253089806106749294059450894595881901833017526764171847454595448363603509056849423202852649848006945968996175944113077681078701112408261540651645840470834600057362009439675744588410740278765001818919205341042190925983894181928768447224799296514639462681647504708789989070077670768738965458026377212077288034316490529547036264635894216758246543760830023712957867047997895781315396714735148526131343678841406179744059226935409141894902191112141766848051179160466544189682072880260808529294150525811124251532791605871877850632930944459587253283436378652956668824197158828639645481126036392480706753277252822763893327885473990296362473878125648615775314396568495389775379761483791314934292933576494230747706580086787758700268833153530038828}
19610  65310887987204173393608672433117469836910209556050281493665036523239566: {137221,196030,235236,254761,431134,1097432,1213774,1234611,1309381,1448254,1469775,1542949,1567760,1763730,1801636,1881312,2009221,2116476,2125609,2270932,2474341,2618494,2706469,3169861,3516649,3677092,3747481,3940414,4145236,4173214,4323301,4438249,5102974,5335054,5355241,5412382,5581155,5876014,5953232,6493294,6495001,6697386,6955582,6991131,7032574,7175401,7288549,7417294,7627561,8322775,8401107,8798974,8875582,9100515,9455691,9536984,9707216,9982501,9987330,10316329,10653152,10669012,10729107,10920618,11256775,11406104,11424409,11596372,11847715,11850814,11918739,11975749,11984796,12274779,12474371,12615555,12831867,12979551,13073029,13442782,13447636,13456592,13508130,13820782,13909732,14163109,14188975,14217258,14408672,14952382,15137432,15138666,15253534,15404014,15461701,15999721,16068824,16209756,16840299,17026770,17029611,17177029,17295555,17555187,17596132,17820530,17877694,17880015,18055636,18077427,18161888,18226187,18304495,18448592,18623854,18964299,19072016,19298811,19788632,19820329,19888654,20047975,20134501,20239081,20432124,20656681,20754666,20800515,20865049,21110474,21222814,21280921,21384636,21456018,21592069,21740254,21961774,21965394,22187216,22262211,22315561,22624549,22772782,22974775,23067214,23159591,23751961,23854021,23881539,24057570,24159769,24211299,24425432,24458452,24757315,24960618,25047934,25174249,25351064,25457900,25477189,25661408,25980649,26037410,26056987,26143294,26731492,26798782,26882341,26982169,27478611,27569730,27745707,27888382,27976489,28124504,28273381,28280095,28519947,28766761,28822975,28869084,28974382,29160169,29407712,29544015,29708778,30157820,30430789,30488734,30549480,30848254,30922779,31206661,31244892,31265247,31399909,31513616,31640067,31785541,32210782,32331027,32586112,32615282,32854174,33030889,33033855,33083676,33085130,33221401,33838259,33923614,33936114,33956836,34180707,34368165,34405972,34452709,34575704,34587570,34705582,34989454,35016901,35236112,35343934,35391589,35452818,35460467,35671849,35751652,36189384,36193054,36659376,36893408,36896511,36898894,36971161,37196300,37431781,37707289,37954654,37982149,38260515,38620969,38897667,39075109,39193154,39346729,39636382,39640626,39702156,39707881,39977989,40257547,40264654,40391247,40404094,40580355,40713057,40811216,40873669,41198171,41241798,41505084,41823867,41913944,42379801,42488014,42818821,42997487,43082600,43285712,43328212,43524574,43604521,44092015,44113034,44470681,44635560,44901061,45098836,45175582,45415141,45449854,45500569,45756421,45800195,45912618,46096549,46593260,46604581,46844571,46885582,47153187,47498734,47611264,47634814,47779909,47838814,48212935,48246382,48314254,48340370,48467925,48693481,48696426,49065892,49188121,49944292,50215005,50332201,50418255,50494489,50657810,50753171,51034904,51284782,51699120,51733555,51888574,51943832,52021861,52150755,52290382,52350339,52728015,52894249,52910418,52958782,53444869,53559219,53562672,53692174,53735752,53779472,53891854,53958382,54380581,54612889,54689134,54960234,55145728,55175939,55287147,55351774,55627472,55911912,55946782,55990220,55993129,55995051,56243216,56276782,56372389,56479832,56540494,56900329,56962015,56975461,57264746,57292059,57385304,57414267,57855522,57917955,57978147,58008444,58093801,58161510,58248382,58313854,58436811,58510174,58536601,58757029,58768779,58830361,58837054,58854530,58976809,59268841,59880382,59993881,60258006,60353701,60452721,60501906,60552674,60789372,60789934,60827092,60854782,60996841,61001432,61372515,61634149,61774981,61779152,62038944,62055781,62080266,62474821,62580906,62752741,62900901,62902479,63018620,63029509,63273618,63539811,63579589,63760975,64140814,64260709,64271572,64558467,64608344,64700836,64822755,64934629,65209255,65402089,65428850,65464016,65609134,65799961,65834951,66054334,66205895,66260869,66326876,66371854,66415012,66546255,66561800,66625582,66660775,67172101,67188264,67322014,68151531,68196229,68354418,68512489,68626611,68632531,68815659,68834782,68897614,69014761,69144272,69501546,69697861,69793812,70311301,70400782,70578291,70625436,70675909,70775134,70898264,70917541,70977769,70982672,71217961,71273374,71335582,71397349,71424867,71646382,71967525,72368300,72504530,72576382,72634921,72652107,72684387,72764978,73003539,73194382,73502782,73613509,73647018,73784041,73872334,74066821,74350535,74486974,74671054,74738149,74793694,74882025,75014809,75338836,75586797,75622344,75760612,76513170,76765360,76808014,76848361,77058601,77233054,77440415,77630821,77787306,77836741,78008655,78066295,78251106,78295849,78514620,78563954,78624094,78822770,78849061,79045774,79196569,79226254,79447074,79589401,79760547,79833155,79834904,79855506,79862259,79874160,79886782,79929349,79992930,80265769,80270211,80503909,80617019,80740249,81068101,81132775,81142414,81594579,81614048,81635236,81806780,81916174,81985381,82009155,82210201,82568782,82573131,82654441,83101294,83134789,83209232,83221189,83350249,83585411,83648869,83748928,83809294,83860009,84021775,84077900,84123259,84152581,84276889,84727141,84863055,84888709,85070027,85075137,85199104,85325792,85523461,85675625,85718041,85796836,85910821,86101801,86361030,86441029,86443774,86503820,86515621,86548595,86841960,86908975,86993449,87005436,87281449,87476432,87529669,87739621,87835582,87866836,88219429,88253161,88420741,88515039,88586521,88652329,89045854,89136709,89220642,89231641,89249259,89450629,89543401,89814267,89858430,89908009,89967769,90026600,90027241,90203929,90477454,90520592,90561855,90648574,90933454,90994201,91102489,91156201,91289221,91446469,91502014,91575529,91652101,91737107,91790387,91803301,91815804,91842382,92073769,92118432,92125582,92135815,92351091,92382181,92428549,92631424,92633641,92854681,92928498,92941081,93089509,93374666,93454981,93479374,93610386,93624532,93679554,93851881,93904115,93905989,94029721,94040734,94049930,94217544,94331689,94504741,94535269,94579850,94587324,94595461,94740901,94752680,94932421,94958629,95085349,95169769,95204869,95295301,95360101,95442469,95510761,95557381,95559775,95620899,95653609,95686441,95710309,95718121,95748649,95775704,95799786,95819929,95826334,95848992,95859241,95919001,95924581,95991516,95999641,96051589,96093367,96096409,96111781,96117289,96122149,96133669,96137449,96325582,96482212,96599312,97154782,97359330,97375294,97697205,98168136,98410986,98474014,99436467,99675214,99764392,...,58284200481736160496607034732399256331322635969834262581220016941054956412183258805294089437907169709774209381750616702958833326989635277753902733214463569593237508061136840616022199943109138249523118235702820090008461149167646420909204930966266670194890263774778515104130852060528550416048791990535189680406175411958499113423823958508569957403324809917566830736544190540110231243780417789388570271730123394233507132136536015600552195351422208361778949026287629654260376654343818504923971800117273285808918050244924474724517966857567438733793430089756782711268728158214903985428990351376239946023891887022149460602252198023370964466170795316123004624620582283338122581200712865113018358193072018468562300462871705593013949450721923763043189302886059350831240769789810786707416772390747149566047449301052917547806856901850577119863126124696856988972183814047259122055372279038431159308396492588203947792512826678188845999964536402369334070749074445916147930016708379767433934783151840287227366403203765934561184190725590858493875011929447033902285843110186484868645447054520554480062712818795068173873592439698501396094550504437853831452561091096960604848957399301088199905417757634273407852736279791845982649871254914129888958291974545737886903209379532765931202864997742825584108934798252005124509762194238147126745202281654372821464305944398582969718662181259418166544812474498714552863442759300539131245856717622714478325731055664475928580247975745159212489802528954624516324416426949897602095323645977465355494930760880429979396644743495927803387796133275490510627542851938784406717416204326133824914462679903200164236173655080536886582381404414061354653752526500442193889542687561401553793871819917250974506321795624984064106985768058517398798577555809507275338288277492568160566479277206001824698809794202799374776220453963463666969796911581705413981616074940029299477606285864301710789242583503968481295362139971837344446201881755088626150572806667525542788319023530613294220559518533270444156336458969064393575724947093366140014919993996696424532991314213600908957556907393737690272549195365112024564411687971582834134306313391078898783354289149553794876952344471709986115268794451730747468393672052415183987542159862861805691096035977317093825339874649726260381097925067765575525098657593184863222399801874320689578664744117199440366763702535832536440927661523963278339578722879634709160123941089176341893822852749526290146257771181893172545405263585274134804278974772010418953494263916169616521618051668612392310977468760706251900086043014159513616882616110418147502728378808011563286388975841272893152670837198944771959194022471257063184983605116506153108448187039565818115932051474735794320554396953841325137369815641245035569436800571996843671973095072102722789197015518262109269616088840403113712842353286668212650272076768740699816284523109320391212793941225788716686377299187408807816775949396416689380879925154567979435003236295738242959468221689054588721060129915879234145839991828210985444543710817188472923662971594852743084663069642225686972401439400364741346121559870130181638050403249730295058242}
19611  65566668144805165562104648765857378842515788128119352472366098696481953: {39218,294045,313648,352854,646701,960253,1371790,1646148,1820661,1959700,2172381,2252045,2351640,2508416,2645595,2702454,2821968,2838665,3174714,3406398,3662021,3927741,4596365,4952981,5181545,5209078,5515638,5657753,5910621,6217854,6243149,6259821,6619054,7441540,7652261,7654461,8002581,8118573,8344861,8493814,8814021,8821109,8929848,9321508,9671038,9739941,9980341,10046079,10108901,10433373,10548861,11125941,11201476,11774518,11921230,12134020,12607588,12682109,13045853,13198461,13245253,13313373,13316440,13336265,13628441,14060221,14130262,14257630,14305476,14495465,14560824,14980995,15891652,15979728,16003518,16142518,16366372,16380927,16444073,16688014,16809545,16820740,17011501,17109156,17306068,17315053,17387165,17394558,17606441,17776221,17977194,18010840,18815758,18921790,18956344,19413814,20086030,20164173,20171454,20184888,20262195,20731173,20864598,21123821,21325887,21372253,21613008,21860254,21995165,22182181,22415821,22428573,22453732,22569545,22636429,22702360,22706148,22707999,22880301,23040502,23060740,23106021,23234249,23406916,23840020,24103236,24314634,24590761,24608941,24735790,25285732,25540155,25731748,26394198,26730795,26816541,26930254,27083454,27242832,27491518,27574414,27615913,27672888,27734020,27935781,28054829,28512848,28608024,28788694,29287192,29330741,29682948,29832981,30253741,30531790,30573065,30648186,30831598,31073821,31131999,31665711,31688830,31822375,31834221,31842052,32076760,32076954,32146621,32184027,32281732,32610381,32942661,32948091,33280824,33414365,34159173,34600821,34903798,35155630,35698421,35709814,36086355,36638148,36674701,36687678,36759640,36969581,36994276,37440927,37571901,37697275,37874998,38026596,38139973,38174461,38186850,38239949,38492112,38656054,39056115,39214941,39392020,39611704,39679081,40097238,40198173,40349293,40507294,40732640,41230372,41354595,41615134,41659856,41686996,41832573,41939278,42046301,42186756,42446045,43007465,43108036,43219630,43303626,43344101,43461573,43788502,44045140,44111568,44144341,44563167,44655541,44689565,44827054,45139198,45236730,45248152,45315353,45450853,45574276,45688201,45733101,45824220,46116760,46272381,46495375,46734622,46867338,47018783,47057038,47270424,47757949,48252512,48316173,48357853,48374381,48674038,48879168,48922923,49195348,49212814,49281261,49419853,49625514,49627695,50212141,50885421,50904171,50935254,51014020,51166861,51608958,51863556,51881355,52058373,52392430,52484181,52672201,52854168,52936208,53015901,53178541,53179227,53376253,53627478,53853250,53854996,54056758,54107140,54160265,54218398,54284076,54289581,54401974,54989064,55153253,55340112,55348341,55765156,55776229,55794450,56182381,56373545,56532301,56913334,56931981,57117161,57241054,57281014,58241575,58585381,58623941,58789731,59257054,59454573,59460939,59514080,59553234,59715029,60171613,60396981,60501238,60606141,61216824,61332365,61525078,61862697,62035981,62109838,62190061,62257626,62430365,62459428,62870916,63001541,63732021,63793630,63799913,64286638,64602934,64623900,64928568,64929790,64992318,65286861,65792509,65952382,65987669,66169551,66204133,66953340,67149214,67169690,67224340,67648254,67763373,68174781,68250478,68868927,68932160,69534340,69800452,69855541,69889890,69902953,69987775,70304020,70317598,70328373,70547224,70599790,70888438,71248101,71412292,71416896,71452221,71731630,71758221,72203998,72369573,72471381,72510555,72518569,72808078,73044639,73280312,73598838,73716196,74203981,74549216,74596061,74660068,74798782,74916438,75337678,75986715,76033865,76251790,76389412,76541878,76552356,76927173,77140696,77223940,77304196,77318494,77344592,77548680,77698429,77832861,77915748,78358372,78435573,78773275,79205518,79217878,79365627,79438173,79627021,80339465,80344008,80538261,80603628,80621129,80669208,80760430,80837781,80876045,80937573,81052496,81213541,81830020,82033701,82203869,82357054,82440351,82592638,82718592,82773688,82905901,82908595,83018765,83027661,83202250,83441208,83634238,83771269,83803741,83867868,83869972,83920173,83969993,83985330,84360718,84364824,84415173,84524398,84719748,84810741,85384181,85869814,85897119,86077956,86430340,86731081,86783283,86959918,87012666,87242265,87293843,87332713,87364654,87372573,87432253,87470781,87765261,87860621,88255581,88281795,88405229,88622830,88728340,89353582,89584352,89820573,89994454,90144281,90366718,90387009,90460375,90752859,90829011,90868708,90947149,91139224,91184058,91184901,91240638,91282173,91381453,91482181,91502148,91751101,91754212,91835273,92310454,92390861,92668728,93058416,93120399,93352061,93830749,93871359,93928438,94104388,94167248,94173545,94527930,94531741,94692013,94700765,94910427,95128558,95232661,95233156,95339693,95956700,96138281,96211221,96407358,96869476,96912516,97051254,97053869,97338052,97364254,97574014,97657678,97849253,98114101,98143229,98143275,98196024,98413701,98978518,99081501,99490314,99557781,99622518,99793630,99810094,99842700,99938373,...,87426300722604240744910552098598884496983953954751393871830025411582434618274888207941134156860754564661314072625925054438249990484452916630854099821695354389856262091705260924033299914663707374284677353554230135012691723751469631363807396449400005292335395662167772656196278090792825624073187985802784520609263117937748670135735937762854936104987214876350246104816285810165346865670626684082855407595185091350260698204804023400828293027133312542668423539431444481390564981515727757385957700175909928713377075367386712086776950286351158100690145134635174066903092237322355978143485527064359919035837830533224190903378297035056446699256192974184506936930873425007183871801069297669527537289608027702843450694307558389520924176082885644564783954329089026246861154684716180061125158586120724349071173951579376321710285352775865679794689187045285483458275721070888683083058418557646738962594738882305921688769240017283268999946804603554001106123611668874221895025062569651150902174727760430841049604805648901841776286088386287740812517894170550853428764665279727302968170581780831720094069228192602260810388659547752094141825756656780747178841636645440907273436098951632299858126636451410111779104419687768973974806882371194833437437961818606830354814069299148896804297496614238376163402197378007686764643291357220690117803422481559232196458916597874454577993271889127249817218711748071829295164138950808696868785076434071717488596583496713892870371963617738818734703793431936774486624640424846403142985468966198033242396141320644969094967115243891705081694199913235765941314277908176610076124306489200737371694019854800246354260482620805329873572106621092031980628789750663290834314031342102330690807729875876461759482693437476096160478652087776098197866333714260913007432416238852240849718915809002737048214691304199062164330680945195500454695367372558120972424112410043949216409428796452566183863875255952721943043209957756016669302822632632939225859210001288314182478535295919941330839277799905666234504688453596590363587420640049210022379990995044636799486971320401363436335361090606535408823793047668036846617531957374251201459470086618348175031433724330692315428516707564979172903191677596121202590508078622775981313239794292708536644053965975640738009811974589390571646887601648363287647986389777294833599702811481034367997116175799160550145553803748804661391492285944917509368084319452063740185911633764512840734279124289435219386656772839758818107895377911202206418462158015628430241395874254424782427077502918588466466203141059377850129064521239270425323924165627221254092568212017344929583463761909339729006255798417157938791033706885594777475407674759229662672280559348727173898077212103691480831595430761987706054723461867553354155200857995265507959642608154084183795523277393163904424133260604670569263529930002318975408115153111049724426784663980586819190911838683075029565948781113211725163924094625034071319887731851969152504854443607364439202332533581883081590194873818851218759987742316478166815566225782709385494457392279114626994604463338530458602159100547112019182339805195272457075604874595442587363}
19612  65823442918192745245987707799665594110126474133663170292809984184583088: {58827,274442,392060,470472,509522,529281,567907,802411,862268,1036627,1153627,1387411,2057685,2194864,2427548,2449625,2469222,2618762,2896508,2899987,2939550,3085898,3135520,3478507,3527460,3603272,3709411,3762624,4018442,4053681,4232952,4251218,4515307,4541864,4630147,4762071,4948682,5109597,5236988,5412938,5660467,6002611,6339722,6798427,7033298,7354184,7494962,7703611,7813617,7880828,8267011,8273457,8290472,8346428,8604187,8646602,8876498,9301925,9326781,9388411,9928581,10205948,10670108,10710482,10824764,11162310,11388787,11651885,11752028,11906464,12380227,12740721,12986588,12990002,13256611,13394772,13911164,13982262,14001845,14019667,14065148,14350802,14506557,14562547,14577098,14834588,15167525,15211627,15255122,15750547,15759485,16180387,16502011,16586801,16645550,16802214,17036611,17569411,17597948,17661777,17751164,17881845,18201030,18911382,18946267,19073968,19414432,19864565,19965002,19974660,20206411,20457965,20519827,20632658,21025925,21195393,21248611,21306304,21338024,21386445,21458214,21632585,21841236,22513550,22812208,22848818,23106427,23192744,23516107,23695430,23701628,23822611,23837478,23951498,23969592,24005277,24213777,24549558,24839611,24948742,25032021,25231110,25626293,25663734,25959102,26091837,26146058,26852011,26885564,26895272,26913184,26965791,27016260,27051667,27549547,27641564,27819464,28045627,28067165,28223637,28326218,28342411,28377950,28382685,28434516,28817344,28825925,29120721,29258645,29800025,29904764,30129045,30257181,30274864,30277332,30507068,30596227,30790411,30794621,30808028,30923402,31296897,31607165,31999442,32137648,32164685,32419512,32429347,32790381,33680598,34053540,34059222,34142011,34354058,34560753,34591110,34660241,34667525,35110374,35192264,35270827,35641060,35755388,35760030,35831347,36111272,36154854,36323776,36452374,36471951,36608990,36897184,37103685,37221307,37247708,37405411,37928598,38144032,38597622,39577264,39591297,39592133,39640658,39777308,39802565,40095950,40269002,40352165,40395381,40478162,40625181,40864248,41027011,41237277,41313362,41361621,41509332,41601030,41648947,41730098,42220948,42445628,42561842,42769272,42912036,43183041,43184138,43480508,43923548,43928107,43930788,44101411,44374432,44524422,44631122,44705707,44993729,45249098,45545564,45797685,45818611,45949550,45972279,46073707,46134428,46242845,46243411,46247397,46319182,46919347,47087611,47503922,47533245,47577101,47708042,47763078,48115140,48115431,48319538,48422598,48589027,48850864,48916904,49001947,49240025,49330987,49514630,49921236,50095868,50348498,50702128,50915800,50954378,50958907,51322816,51441667,51537965,51961298,52074820,52108745,52113974,52286588,52355697,52399411,52733445,53189611,53462984,53564721,53597564,53764682,53885045,53964338,54593827,54957222,54979747,55031517,55056425,55139460,55491414,55776764,55952978,56249008,56546762,56560190,56812497,56882347,56967845,57039894,57280275,57533522,57645950,57738168,57948764,57984081,58320338,58815424,59088030,59417556,60121627,60145857,60315640,60337411,60695611,60760941,60838387,60861578,60977468,61052011,61098960,61494185,61618507,61696508,61728821,61845558,62413322,62422701,62489784,62530494,62799818,62908917,63027232,63280134,63571082,63767525,64042747,64120273,64421564,64662054,64829445,64853611,64955439,65054707,65172224,65230564,65321827,65654107,65682753,65708348,66061778,66067710,66167352,66170260,66378787,66442802,67240581,67318745,67481611,67498109,67609987,67633925,67676518,67708797,67802011,67847228,67855095,67872228,67913672,68361414,68736330,68811944,68905418,69151408,69175140,69411164,69501067,69706445,69809947,69978908,70033802,70101933,70300411,70301007,70422307,70472224,70585557,70687868,70783178,70905636,70920934,71087587,71343698,71503304,71803411,71980747,72378768,72386108,72426977,72508867,72799747,73011057,73261411,73318752,73365809,73547611,73786816,73793022,73797788,73819221,73942322,74392600,74438271,74840947,74863562,75414578,75909308,75934627,75964298,76402881,76521030,77241938,77413437,77795334,77882011,78074285,78150218,78386308,78588645,78693458,79272764,79281252,79388611,79404312,79415762,79746821,79955978,79973107,80213587,80441217,80499787,80515094,80529308,80594611,80779875,80782494,80808188,80924227,81085137,81111173,81160710,81327597,81426114,81602961,81622432,81747338,82341547,82396342,82483596,82519387,82740067,83010168,83647734,83691675,83827888,83858587,84030425,84234427,84759602,84888187,84976028,85168411,85370001,85637642,85640587,85679467,85861581,85921521,85994974,86165200,86216227,86254027,86441947,86516611,86571424,86628067,86656424,86917925,87049148,87067411,87139627,87209042,87250565,87531667,87538781,87706987,87880025,88052227,88120411,88184030,88226068,88289611,88523467,88883827,88885581,88941362,88948411,89265365,89271120,89329851,89423611,89792107,89802122,90032011,90120787,90197672,90351164,90611611,90751857,90830282,90835387,90899708,91001138,91027411,91292957,91479067,91512842,91600390,91607947,91735027,91825236,92145245,92193098,92225347,92249107,92287617,92688253,93164757,93186520,93209162,93223267,93325085,93325147,93386439,93639067,93689142,93714667,93771164,93862411,94020113,94092667,94306374,94562467,94724827,94851187,94997468,95048827,95207011,95222528,95269628,95486765,95506387,95525611,95559818,95677628,95690445,95815411,95882011,95912611,95924347,95941411,96007867,96017011,96038611,96046747,96050707,96076411,96083107,96092611,96143947,96425870,96429957,96492764,96529925,96628508,96630245,96680740,96904401,96935850,97386962,97392852,97394685,97488477,97947965,98131784,98376242,98928573,99418397,99888584,...,116568400963472320993214069464798512662645271939668525162440033882109912824366517610588178875814339419548418763501233405917666653979270555507805466428927139186475016122273681232044399886218276499046236471405640180016922298335292841818409861932533340389780527549557030208261704121057100832097583981070379360812350823916998226847647917017139914806649619835133661473088381080220462487560835578777140543460246788467014264273072031201104390702844416723557898052575259308520753308687637009847943600234546571617836100489848949449035933715134877467586860179513565422537456316429807970857980702752479892047783774044298921204504396046741928932341590632246009249241164566676245162401425730226036716386144036937124600925743411186027898901443847526086378605772118701662481539579621573414833544781494299132094898602105835095613713803701154239726252249393713977944367628094518244110744558076862318616792985176407895585025653356377691999929072804738668141498148891832295860033416759534867869566303680574454732806407531869122368381451181716987750023858894067804571686220372969737290894109041108960125425637590136347747184879397002792189101008875707662905122182193921209697914798602176399810835515268546815705472559583691965299742509828259777916583949091475773806418759065531862405729995485651168217869596504010249019524388476294253490404563308745642928611888797165939437324362518836333089624948997429105726885518601078262491713435245428956651462111328951857160495951490318424979605057909249032648832853899795204190647291954930710989861521760859958793289486991855606775592266550981021255085703877568813434832408652267649828925359806400328472347310161073773164762808828122709307505053000884387779085375122803107587743639834501949012643591249968128213971536117034797597155111619014550676576554985136321132958554412003649397619588405598749552440907926927333939593823163410827963232149880058598955212571728603421578485167007936962590724279943674688892403763510177252301145613335051085576638047061226588441119037066540888312672917938128787151449894186732280029839987993392849065982628427201817915113814787475380545098390730224049128823375943165668268612626782157797566708578299107589753904688943419972230537588903461494936787344104830367975084319725723611382192071954634187650679749299452520762195850135531151050197315186369726444799603748641379157329488234398880733527405071665072881855323047926556679157445759269418320247882178352683787645705499052580292515542363786345090810527170548269608557949544020837906988527832339233043236103337224784621954937521412503800172086028319027233765232220836295005456757616023126572777951682545786305341674397889543918388044942514126369967210233012306216896374079131636231864102949471588641108793907682650274739631282490071138873601143993687343946190144205445578394031036524218539232177680806227425684706573336425300544153537481399632569046218640782425587882451577433372754598374817615633551898792833378761759850309135958870006472591476485918936443378109177442120259831758468291679983656421970889087421634376945847325943189705486169326139284451373944802878800729482692243119740260363276100806499460590116484}
19613  66081216147515551977891749962177559753931811511948293071130390528562579: {78436,411663,490075,588090,627296,705708,764283,1077835,1293402,1920506,2743580,3034435,3152863,3292296,3620635,3641322,3703833,3919400,3928143,3974131,4092847,4327843,4344762,4409325,4504090,4628847,4703280,5016832,5291190,5404908,5643936,5677330,5853523,6027663,6323371,6349428,6376827,6434911,6546235,6673711,6812796,7254163,7324042,7378267,7423023,7855482,8119407,8552527,9192730,9251407,9509583,9851035,9905962,10363090,10418156,10424947,10433035,10549947,11031276,11242443,11315506,11821242,11946883,12302611,12435708,12486298,12519642,12683407,12757435,12969903,13112011,13238108,13314747,13337635,13530955,13945567,14293243,14690035,14883080,14987947,15231787,15253711,15304522,15308922,16005162,16065723,16233235,16237146,16639603,16689722,16743465,16987628,17388955,17578147,17581435,17608243,17628042,17642218,17859696,18543235,18643016,18670771,19342076,19479882,19485003,19677787,19960682,20092158,20217802,20293651,20866746,20973393,21097722,21125983,21526203,21665611,21865647,21997435,22188955,22251882,22402952,22882683,23236627,23533363,23549036,23842460,24224827,24268040,24342031,24367627,24836611,24968325,25203321,25215176,25364218,26091706,26396922,26490506,26503567,26626746,26632880,26672530,27256882,27301545,28057711,28120442,28260524,28367073,28515260,28610952,28990930,29121648,29514091,29627035,29758927,29947503,29961990,30019147,30793231,30948987,31597363,31783304,31959456,32007036,32187321,32285036,32732744,32761854,32831611,32888146,33155707,33376028,33606955,33619090,33641480,33770325,34023002,34218312,34273227,34551955,34612136,34630106,34663603,34774330,34789116,35212882,35450491,35543145,35552442,35756217,35927247,35954388,36021680,36824337,36973387,37238863,37380955,37423113,37426843,37631516,37843580,37846665,37912688,38133835,38243887,38495601,38510035,38667211,38827628,38938653,39219087,39918547,40172060,40328346,40342908,40369776,40524390,41462346,41729196,42033571,42189043,42247642,42473167,42489327,42566925,42651774,42744506,42802291,43226016,43691323,43720508,43990330,44364362,44551325,44694235,44831642,44857146,44907464,45006511,45139090,45192667,45272858,45272947,45404720,45412296,45415998,45760602,45976891,46081004,46121480,46212042,46385103,46468498,46559635,46780111,46813832,46938907,47536687,47680040,47947663,47999163,48206472,48443407,48629268,48800587,49181522,49217882,49259251,49471580,49691083,49721635,50520897,50571464,50620723,50646571,51080310,51088833,51463496,51531087,51886665,52665561,52776185,52788396,53057035,53461590,53633082,53640045,53848843,53860508,54092911,54166908,54232281,54350635,54485664,54678561,54795163,54904435,54913485,54983036,55148828,55158931,55231826,55345776,55468040,55871562,56109658,56767411,56851423,56892897,56931955,57025696,57065707,57123043,57169723,57206347,57216048,57577388,57668035,57896433,58574384,58661482,59085931,59365896,59424463,59460987,59665962,60140047,60143925,60210451,60403503,60437131,60507482,60717243,60979627,61063580,61146130,61296372,61641871,61663196,61970043,62147642,62232907,62263998,62401545,62565391,62595147,62619835,63331422,63377660,63644750,63661243,63668442,63684104,63806467,63836827,63842763,64153520,64153908,64293242,64368054,64563464,64776207,65093525,65220762,65358235,65885322,65896182,66321067,66412027,66561648,66624307,66786633,66828730,66946683,66996955,67873647,68199907,68318346,68924325,69201642,69478773,69720955,69807596,70172563,70311260,70413487,70572307,71093467,71255883,71396842,71419628,71562063,71644617,71660131,72172710,72435955,72479307,72633897,72831823,73276296,73337107,73349402,73375356,73443043,73519280,73939162,73988552,74271945,74603743,74743867,74881854,75143802,75394550,75522747,75749996,75824371,76003183,76053192,76221835,76279946,76348922,76373700,76431567,76479898,76984224,77077771,77120635,77260243,77262931,77312108,77941947,77985427,78112230,78170961,78429882,78784040,78922963,79223408,79358162,80194476,80396346,80526955,80629411,80647023,80698586,80946507,80969647,81014588,81374803,81465280,81472291,81538205,81614287,82135435,82212427,82217587,82435833,82460744,82709190,82712825,83230268,83237121,83319712,83373992,83665146,83878556,83929467,84092602,84373512,84553867,84809035,84820143,84840285,84892090,85097107,85559841,85679323,85865311,86014930,86216072,86300283,86437843,86439260,86468925,86607252,86688202,86763955,86923146,86980147,87402511,87473635,87480507,87577004,88090280,88223136,88288682,88359835,88414447,88451131,88632045,88752607,88759171,88827211,89126334,89311082,89379130,89549263,89654108,89761027,90278396,90473460,90482635,90496304,90630706,90901706,90973171,91148552,91292367,91376402,91466202,91648440,91803067,91844707,92233520,92247235,92538127,92544762,92768337,92990750,93469244,93619983,93734676,93795741,94036531,94037566,94046287,94114076,94199727,94220383,94540848,94541563,94886635,94920201,95349487,95356623,95515898,96505024,96632346,96715706,96748762,96993081,97064011,97150027,97348076,97474927,97758336,97845846,97982885,98153311,98390696,98425628,98562522,98571547,98839706,99090955,99092667,99101565,99251028,99255390,99664203,99678211,...,174852601445208481489821104197197768993967907909502787743660050823164869236549776415882268313721509129322628145251850108876499980968905833261708199643390708779712524183410521848066599829327414748569354707108460270025383447502939262727614792898800010584670791324335545312392556181585651248146375971605569041218526235875497340271471875525709872209974429752700492209632571620330693731341253368165710815190370182700521396409608046801656586054266625085336847078862888962781129963031455514771915400351819857426754150734773424173553900572702316201380290269270348133806184474644711956286971054128719838071675661066448381806756594070112893398512385948369013873861746850014367743602138595339055074579216055405686901388615116779041848352165771289129567908658178052493722309369432360122250317172241448698142347903158752643420570705551731359589378374090570966916551442141777366166116837115293477925189477764611843377538480034566537999893609207108002212247223337748443790050125139302301804349455520861682099209611297803683552572176772575481625035788341101706857529330559454605936341163561663440188138456385204521620777319095504188283651513313561494357683273290881814546872197903264599716253272902820223558208839375537947949613764742389666874875923637213660709628138598297793608594993228476752326804394756015373529286582714441380235606844963118464392917833195748909155986543778254499634437423496143658590328277901617393737570152868143434977193166993427785740743927235477637469407586863873548973249280849692806285970937932396066484792282641289938189934230487783410163388399826471531882628555816353220152248612978401474743388039709600492708520965241610659747144213242184063961257579501326581668628062684204661381615459751752923518965386874952192320957304175552196395732667428521826014864832477704481699437831618005474096429382608398124328661361890391000909390734745116241944848224820087898432818857592905132367727750511905443886086419915512033338605645265265878451718420002576628364957070591839882661678555599811332469009376907193180727174841280098420044759981990089273598973942640802726872670722181213070817647586095336073693235063914748502402918940173236696350062867448661384630857033415129958345806383355192242405181016157245551962626479588585417073288107931951281476019623949178781143293775203296726575295972779554589667199405622962068735994232351598321100291107607497609322782984571889835018736168638904127480371823267529025681468558248578870438773313545679517636215790755822404412836924316031256860482791748508849564854155005837176932932406282118755700258129042478540850647848331254442508185136424034689859166927523818679458012511596834315877582067413771189554950815349518459325344561118697454347796154424207382961663190861523975412109446923735106708310401715990531015919285216308168367591046554786327808848266521209341138527059860004637950816230306222099448853569327961173638381823677366150059131897562226423450327848189250068142639775463703938305009708887214728878404665067163766163180389747637702437519975484632956333631132451565418770988914784558229253989208926677060917204318201094224038364679610390544914151209749190885174726}
19614  66339991687643383965246146919957394707727422062551663977582827568273594: {98045,117654,215633,333149,548884,607073,724349,784120,841553,882135,940944,1019044,1058562,1135814,1192733,1387553,1426493,1604822,1621073,1724536,1940103,2073254,2087249,2203613,2307254,2552273,2668349,2774822,2880759,2938913,3054749,3247649,3363293,3429475,3517373,3709793,3748253,3825149,4094033,4115370,4324193,4389728,4400849,4515773,4668893,4855096,4899250,4938444,5237524,5432573,5461983,5793016,5799974,5879100,6041213,6171796,6271040,6517143,6685649,6756135,6957014,7054920,7206544,7365473,7418822,7525248,7704413,7936785,8036884,8107362,8267873,8305373,8465904,8502436,8515995,8754749,9030614,9083728,9260294,9524142,9897364,10219194,10318493,10473976,10725713,10825876,10984349,10986063,11320934,11426813,11647613,11783223,12005222,12161693,12679444,13022695,13258013,13596854,13789095,14066596,14708368,14858943,14989924,15249233,15407222,15429053,15536849,15544635,15627234,15761656,16074749,16312639,16534022,16539473,16546914,16547635,16580944,16692856,16973259,17208374,17293204,17731863,17752996,17783933,18208349,18561149,18603850,18653562,18729447,18776822,18779463,18983453,19159073,19602583,19684733,19857162,20208593,20243453,20313149,20411896,21234535,21285533,21340216,21420964,21458513,21596753,21649528,21769373,21872849,22063279,22114013,22320413,22324620,22389149,22777574,22956783,22963383,23303770,23504056,23812928,23825213,23859233,23927249,24007743,24177595,24266849,24355719,24760454,24842333,25034583,25179773,25481442,25885793,25973176,25980004,26053373,26442063,26463327,26513222,26688353,26789544,26854973,26888273,26954849,27054653,27810391,27822328,27964524,28003690,28039334,28048733,28130296,28279649,28345553,28641151,28701604,28838813,29013114,29125094,29154196,29219823,29264849,29428349,29436295,29669176,29754749,29803075,29941023,30138237,30285619,30326703,30335050,30340253,30423254,30510244,30826193,30987773,31300119,31501094,31518970,31646583,31696349,31856849,32360774,32432993,32560673,33004022,33133649,33173602,33291100,33292349,33377823,33604428,33672413,33767249,34073222,34145873,34177373,35024849,35138822,35195896,35323554,35325655,35493149,35502328,35644075,35763690,36207713,36393643,36402060,37256273,37348349,37440353,37822764,37892534,38046327,38147936,38508413,38629853,38828864,38872349,39137559,39294031,39416093,39536573,39595383,39626849,39717053,39729130,39735759,39777149,39930004,39940119,39949320,40008795,40356295,40412822,40674749,40885323,40915930,40962103,41039654,41061473,41265316,41476433,41653793,41720035,42007649,42051850,42180663,42390786,42448349,42497222,42612608,42676048,42772890,42916428,43091453,43265170,43486395,43682472,44135453,44250031,44538653,44710973,44942985,45027100,45030559,45254753,45340349,45425873,45482849,45568253,45624416,45697636,45824033,45852413,46107473,46212854,46385488,46952993,47032214,47039395,47121233,47304475,47390860,47403256,47645222,47674956,47791313,47902996,47939184,48010554,48427554,48534535,49099116,49142781,49199933,49254749,49332219,49336913,49679222,49897484,49991633,50064042,50215075,50398493,50428635,50462220,50668733,50749649,51034503,51252586,51327468,51474653,51688349,51918204,51945159,52034513,52087649,52161495,52183674,52273373,52292116,52352849,52564433,52819323,53174407,53196113,53222333,53328663,53704022,53771128,53790544,53826368,53931582,54005213,54032520,54103334,54445649,54626333,54650635,55012193,55099094,55283128,55638928,55723591,56091254,56134330,56227483,56447274,56493031,56537633,56613149,56652436,56684822,56738849,56755900,56765370,56869032,56914493,56989649,57114749,57414173,57601255,57634688,57651850,57737249,57811613,57935393,58182353,58241442,58517290,58600349,58771793,58894013,59210849,59283773,59600050,59809528,60057149,60258090,60368993,60492519,60514362,60549728,60554664,60655649,60727133,60786585,61012349,61014136,61059773,61192454,61580822,61589242,61616056,61649873,61790753,61837649,61839475,61846804,62071649,62193519,62537249,62593794,62606813,63214330,63298493,63371463,63977661,63998884,64116759,64209533,64275296,64329370,64739983,64750013,64839024,64858694,65085473,65196893,65330333,65580762,65662673,65985495,66146849,66256349,66546543,66648893,66909149,67168253,67247463,67285719,67325635,67361196,67383293,67708635,67832273,67909287,67938653,68087249,68107080,68118444,68123997,68150813,68256593,68284022,68640903,68656733,68708116,68728795,68887073,68936035,69033149,69121506,69182220,69318063,69320482,69335050,69654749,69702747,69716513,70003793,70220748,70330193,70384528,70541654,70936673,70976849,71037053,71117213,71277149,71282120,71416673,71510776,71520060,71662694,71714333,71872349,71971735,72153151,72222544,72309708,72401873,72647552,72654749,72904748,72943902,72944849,72952243,73002653,73217980,73271453,73290593,73557713,73772283,73794368,73804349,73826823,73842173,74207370,74442614,74495416,74517533,74647649,74810822,75200849,75439063,75620093,75857196,76160573,76288064,76329475,76620465,76693853,76817249,76905149,77078995,77080349,77115293,77195244,77376353,77687249,77858849,77893073,78114749,78165713,78318173,78871649,78904913,79154528,79169873,79182594,79184266,79222075,79252253,79281316,79318013,79400033,79554616,79605130,79612349,79644893,79754983,79984673,80177249,80191900,80192385,80449623,80527313,80538004,80574749,80704330,80790762,80936033,80956324,81091793,81122849,81250362,81538973,81584849,81728496,81964349,82039649,82054022,82368593,82442813,82474554,82626724,82723242,82810913,82847739,82898513,82971293,83018664,83145149,83188433,83202060,83289149,83297894,83460196,83503649,83716349,83786849,83807343,83885213,83997149,84038993,84164487,84384893,84441896,84549149,84752849,84891256,84914513,85123684,85379453,85538544,85575713,85705553,85744349,85770173,85824072,85937249,86091859,86279933,86355293,86366082,86368276,86467793,86542433,86705047,86899133,86961016,87080993,87093053,87259495,87272993,87332573,87474749,87557153,87790433,87825149,87847096,87856214,87861576,87889075,87992223,88077533,88111649,88168349,88202822,88303613,88370813,88748864,88865633,88994849,89048844,89260349,89262244,89274535,89344253,89411414,89448413,89498943,89572349,89987458,90056573,90145313,90436433,90465149,90498196,90626513,90654749,90761223,90887249,90933149,91042493,91091128,91186493,91204349,91319633,91337249,91494353,91595370,91623293,91637222,91657373,91682849,91699793,91719195,91809149,91850849,91899100,91944558,92121053,92147414,92268856,92475473,92485690,92486822,92494794,92638364,92665373,92680349,92886653,92973149,93218849,93221463,93300833,93321149,93341393,93395997,93421649,93487649,93500753,93565793,93661853,93693473,93793313,93838694,93885053,93897149,94063133,94092113,94175222,94246243,94316753,94471613,94523453,94538849,94579553,94687495,94784849,94817693,94900349,94997133,95007844,95019473,95053649,95066333,95066490,95083133,95128673,95154202,95282333,95395793,95416084,95444513,95464913,95467125,95502663,95526156,95527613,95537249,95546813,95714849,95728349,95746913,95754749,95759933,95785373,95792849,95858659,95874749,95896349,95900573,95902673,95913053,95931233,95960093,95961953,95987153,96004193,96014033,96028253,96037373,96040349,96058913,96065693,96089633,96095453,96109649,96173153,96176573,96177233,96230280,96230862,96439863,96552081,96639076,96640135,96845196,97178054,97589023,97701728,97831143,97833808,98003894,98480050,98661974,98827983,98844273,99029260,99842472,...,262278902167812722234731656295796653490951861864254181615490076234747303854824664623823402470582263693983942217877775163314749971453358749892562299465086063169568786275115782772099899743991122122854032060662690405038075171254408894091422189348200015877006186986503317968588834272378476872219563957408353561827789353813246010407207813288564808314961644629050738314448857430496040597011880052248566222785555274050782094614412070202484879081399937628005270618294333444171694944547183272157873100527729786140131226102160136260330850859053474302070435403905522200709276711967067934430456581193079757107513491599672572710134891105169340097768578922553520810792620275021551615403207893008582611868824083108530352082922675168562772528248656933694351862987267078740583464054148540183375475758362173047213521854738128965130856058327597039384067561135856450374827163212666049249175255672940216887784216646917765066307720051849806999840413810662003318370835006622665685075187708953452706524183281292523148814416946705525328858265158863222437553682511652560286293995839181908904511745342495160282207684577806782431165978643256282425477269970342241536524909936322721820308296854896899574379909354230335337313259063306921924420647113584500312313885455820491064442207897446690412892489842715128490206592134023060293929874071662070353410267444677696589376749793623363733979815667381749451656135244215487885492416852426090606355229302215152465789750490141678611115890853216456204111380295810323459873921274539209428956406898594099727188423961934907284901345731675115245082599739707297823942833724529830228372919467602212115082059564400739062781447862415989620716319863276095941886369251989872502942094026306992072423189627629385278448080312428288481435956263328294593599001142782739022297248716556722549156747427008211144644073912597186492992042835586501364086102117674362917272337230131847649228286389357698551591625767858165829129629873268050007908467897898817677577630003864942547435605887759823992517833399716998703514065360789771090762261920147630067139972985133910398460913961204090309006083271819606226471379143004110539852595872122753604378410259855044525094301172992076946285550122694937518709575032788363607771524235868327943939719382878125609932161897926922214029435923768171714940662804945089862943959169331884500799108434443103103991348527397481650436661411246413984174476857834752528104252958356191220557734901293538522202837372868305658159970318519276454323686133733606619255386474046885290724187622763274347281232508755765399398609423178133550387193563717811275971772496881663762277704636052034788750391285728019187018767395251473816373101120656784332426223024277688988016841678046181521694231636311074442494786292285963118164170385602660062465602573985796523878927824462252551386569832179491713272399781814011707790589790006956926224345459333149173280353991941760457572735516049225088697846343339635175491772283875102213959663195555907457514563330822093317606997600745649244770584621456553656279963226949434500446698677348128156483372176837343880983813390015591375806477301641336057547019415585817371226814623786327762089}
19615  66599773408223229872783174645714899775738740228514973181981045262488443: {156872,176481,686105,823326,980150,1176180,1254592,1273805,1411416,1508969,1528566,1587843,1703721,2155670,2407233,2586804,3109881,3460881,3841012,4162233,4248209,4837001,5068889,5487160,6068870,6173055,6305726,6546905,6584592,7067297,7241270,7282644,7348875,7407666,7714745,7838800,7856286,7887113,7948262,8185694,8655686,8689524,8699961,8818650,9008180,9164729,9257694,9406560,10033664,10046105,10435521,10582380,10628045,10809816,10933481,11128233,11287872,11354660,11707046,12055326,12161043,12371705,12646742,12698856,12753654,12869822,13092470,13113353,13347422,13532345,13545921,13625592,13749977,13791449,13890441,14286213,14508326,14606249,14648084,14756534,14846046,14989481,15328791,15496013,15683393,15710964,15849305,15974801,16238814,16981401,17105054,17583245,17860409,18007833,18027113,18385460,18502814,18672689,18737405,18790433,18943337,19019166,19679801,19702070,19811924,20395281,20566049,20726180,20813969,20836312,20849894,20866070,21099894,21616505,22062552,22094633,22191245,22245809,22484886,22631012,22726529,23110833,23440851,23642484,23893766,24344537,24370121,24605222,24614009,24801033,24820371,24839153,24871416,24972596,25039284,25366814,25514870,25604813,25812561,25939806,25960529,26048153,26224022,26476216,26629494,26675270,26751629,26776205,27061910,27209369,27401993,27891134,27905775,27980343,28165233,28586486,28629341,29380070,29766160,29785743,29975894,30463574,30507422,30609044,30617844,30796409,31064537,32010324,32089433,32131446,32157149,32466470,32474292,32475005,32986337,33159113,33279206,33379444,33486930,33584969,33964409,33975256,34166361,34433153,34777910,34857713,34955655,35156294,35162870,35169641,35216486,35256084,35284436,35719392,35877005,36113117,36442745,37086470,37140681,37286032,37341542,38137805,38222163,38671193,38684152,38959764,38970006,39355574,39621137,39769833,39921364,40184316,40435604,40587302,41477849,41613875,41733492,41830001,41946786,42005535,42037889,42059001,42195444,42251966,43052406,43331222,43519671,43687641,43695821,43731294,43994870,44377910,44503764,44690537,44805904,45197321,45502575,45634881,45697613,45765366,46169441,46473254,46978697,47049737,47066726,47098072,47251641,47278455,47541593,47684920,48372737,48449654,48536080,48541161,48684062,48735254,48843881,49506033,49673222,49760403,49912505,49920449,49936650,50176073,50195561,50406642,50430352,50728436,51109833,51244889,51385937,51581645,51888029,52183412,52333337,52708233,52793844,52981012,52985331,53007134,53189513,53253492,53265760,53345060,53387369,53585729,53645535,53914049,54513764,54603090,54822557,55054457,55926569,56115422,56179721,56240884,56283875,56521048,56734146,56838801,57030520,57122045,57221904,57631673,57673421,57981860,58195721,58243296,58366493,59028182,59238575,59254070,59517854,59536553,59593695,59746109,59878745,59895006,59923980,60038294,60184001,60619233,61001273,61373895,61408649,61559481,61566797,61586462,61648217,61897974,62371855,62571929,63046733,63077775,63194726,63566608,63586179,63745833,63843401,63918912,64014072,64159335,64177277,64374642,64570072,64605209,64897755,65183489,65365145,65465488,65523708,65663222,65776292,66037217,66311414,66752056,67213910,67238180,67282960,67518593,67540650,67607501,68046004,68206913,68436624,68546454,69103910,69224272,69260212,69319281,69327206,69541169,69548660,69556241,69578232,69610289,70172993,70425764,70548321,70815545,70900982,70944875,71074601,71086290,71104884,71150801,71422769,71467833,71512434,71854494,71908776,72015831,72043360,72362657,72641331,72785549,72839321,73547981,73648674,73886659,73946774,74279849,74477726,74518833,74561441,74761910,74846226,74853686,75096063,75263032,75402941,75687160,75693330,75825376,76090889,76267670,76487774,76602209,76866209,76878879,76991202,77020070,77040017,77085689,77308505,77334422,77460029,77655256,77659769,77877306,78275511,78390857,78438174,78486941,78518477,78904793,79704737,79837094,79998605,80344120,80556033,80656692,80685816,80735249,80739552,80897373,81048780,81155001,81575321,82083401,82226033,82591409,82648641,82924692,83458392,83876969,83913281,84067142,84136881,84201495,84378086,84380873,84495284,84562553,84670911,84946334,84978654,85027233,85133850,85148055,85303548,85489012,85604582,85885145,86228201,86452032,86477775,87362163,87382646,87441016,87667769,87775935,87980660,88333661,88460237,88728724,88768289,88836473,89102650,89388470,89400075,89663284,89714292,89814928,90013022,90278180,90385334,90387135,90545716,90545894,90771543,90782297,90809440,90824592,90831996,90965873,91130935,91223081,91501529,91521204,91522475,91788681,91812521,91953782,92162008,92242960,92371233,92383863,92424084,92652089,92770206,92936996,93119270,93560222,93627664,93795737,93877814,93890691,94055993,94259609,94551209,94821495,95073374,95360080,95691401,95895326,95998326,96412944,96494055,96607001,96886814,97160141,97258536,97288041,97485113,97601174,97609337,98134313,98363044,98371143,98435764,98518502,98546429,98581673,98943160,99101645,99382166,99443270,...,349705202890416962979642208394395537987935815819005575487320101646329738473099552831764536627443018258645256290503700217752999961937811666523416399286781417559425048366821043696133199658654829497138709414216920540050766895005878525455229585797600021169341582648671090624785112363171302496292751943211138082437052471750994680542943751051419744419948859505400984419265143240661387462682506736331421630380740365401042792819216093603313172108533250170673694157725777925562259926062911029543830800703639714853508301469546848347107801145404632402760580538540696267612368949289423912573942108257439676143351322132896763613513188140225786797024771896738027747723493700028735487204277190678110149158432110811373802777230233558083696704331542578259135817316356104987444618738864720244500634344482897396284695806317505286841141411103462719178756748181141933833102884283554732332233674230586955850378955529223686755076960069133075999787218414216004424494446675496887580100250278604603608698911041723364198419222595607367105144353545150963250071576682203413715058661118909211872682327123326880376276912770409043241554638191008376567303026627122988715366546581763629093744395806529199432506545805640447116417678751075895899227529484779333749751847274427321419256277196595587217189986456953504653608789512030747058573165428882760471213689926236928785835666391497818311973087556508999268874846992287317180656555803234787475140305736286869954386333986855571481487854470955274938815173727747097946498561699385612571941875864792132969584565282579876379868460975566820326776799652943063765257111632706440304497225956802949486776079419200985417041930483221319494288426484368127922515159002653163337256125368409322763230919503505847037930773749904384641914608351104392791465334857043652029729664955408963398875663236010948192858765216796248657322723780782001818781469490232483889696449640175796865637715185810264735455501023810887772172839831024066677211290530531756903436840005153256729914141183679765323357111199622664938018753814386361454349682560196840089519963980178547197947885281605453745341444362426141635295172190672147386470127829497004805837880346473392700125734897322769261714066830259916691612766710384484810362032314491103925252959177170834146576215863902562952039247898357562286587550406593453150591945559109179334398811245924137471988464703196642200582215214995218645565969143779670037472337277808254960743646535058051362937116497157740877546627091359035272431581511644808825673848632062513720965583497017699129708310011674353865864812564237511400516258084957081701295696662508885016370272848069379718333855047637358916025023193668631755164134827542379109901630699036918650689122237394908695592308848414765923326381723047950824218893847470213416620803431981062031838570432616336735182093109572655617696533042418682277054119720009275901632460612444198897707138655922347276763647354732300118263795124452846900655696378500136285279550927407876610019417774429457756809330134327532326360779495275404875039950969265912667262264903130837541977829569116458507978417853354121834408636402188448076729359220781089828302419498381770349452}
19616  66860565193735512354701682504347203431040243830911445533343137059928109: {137263,196090,235308,254839,372343,431266,666298,1097768,1214146,1234989,1426639,1448698,1470225,1568240,1683106,1764270,1881888,2038088,2117124,2126263,2271628,2292849,2385466,2475103,2707303,2775106,2852986,3209644,3233505,3242146,3449072,3748639,3863983,3880206,4146508,4174498,4407226,4439623,4614508,4801265,5104546,5336698,5471239,5549644,5761518,5877826,5927863,6109498,6495298,6724183,6726586,6858950,7034746,7064383,7290823,7419586,7496506,7629943,7650298,7855663,8188066,8230740,8306239,8648386,8779456,8801698,9031546,9103305,9337786,9458589,9710192,9798500,9876888,10430743,10475048,10861905,10865146,10923966,11111499,11260225,11538463,11586032,11599948,11758200,11784429,11922393,12082426,12199639,12278541,12343592,12542080,12983529,13034286,13227975,13371298,13512270,13886541,13914028,14109840,14193325,14276263,14413088,14730946,14837644,15050496,15408826,15466639,15574423,15873570,16073768,16112263,16214724,16535746,16610746,16931808,17004872,17031990,17502223,17509498,17560569,18061228,18082989,18167456,18231773,18310105,18520588,18970113,19048284,19130481,19196239,19304733,19638705,19721839,19794728,20021133,20245639,20438388,20636986,20767639,20947952,21451426,21651752,21762489,21968698,21972126,22134801,22269069,22641868,22734823,22853626,22940383,22981825,23166689,23295226,23566446,23861839,24010444,24269503,24323386,24358221,24764905,25358888,25485583,25657581,25907725,26045390,26064973,26290543,26516026,26891239,26991103,27193708,27578190,27754221,28133192,28282783,28288765,28528749,29268103,29416736,29553105,29717886,29728349,29758063,29979848,30343639,30498466,30814444,30858106,31073698,31089270,31215745,31254468,31274841,31299105,31313839,31523312,31649841,31699903,31892503,32149498,32625278,33068044,33078946,33093828,33095270,33137383,33161888,33327823,33385712,33727329,33848633,33946518,34181239,34416748,34586408,35122639,35463726,35497183,35505992,35567866,35840649,36416698,36907833,37122298,37207700,37307124,37458894,37553644,37558926,37966906,38050221,38261305,38272305,38318146,38907103,38909709,39205166,39336033,39369466,39714324,39944241,40012905,40269889,40417186,40486906,40592865,40626298,40823792,40977103,41210813,41724305,41836701,42469070,42571066,42680432,42841928,42879729,42917026,43010669,43193506,43299056,43358503,43538746,43745698,44070105,44105545,44126558,44228026,44640826,44649240,44778298,44963841,45516703,45555148,45695361,45761133,45857839,45913566,45926766,46607540,47008112,47625856,47650426,47718466,47854498,47880463,48015486,48197169,48296623,48355190,48533698,48699705,48710983,48711438,49455917,49520908,49684666,49901705,49918809,50069166,50230395,50359546,50512783,50544505,50962884,51771586,51946352,51960008,52040839,52106746,52120543,52166865,52734441,52744305,52824729,52884126,52926654,53026444,53228839,53376706,53579088,53709946,53776546,53909698,54109306,54400639,54466093,55556239,55620782,55629705,55644656,55929048,56007380,56012313,56078668,56097466,56260592,56498813,56559298,56691106,56771023,56996743,57146863,57282302,57403208,57446239,57677626,58026228,58189639,58250188,58308392,58408049,58439646,58455009,58529698,58852543,58856698,58872590,58999063,59033361,59218303,59338352,59364103,59509498,59606150,59882046,60016639,60276474,60571238,60653406,60670100,60680506,60846508,60880953,61020103,61020488,61162303,61652386,61975546,62079583,62216209,62600238,62842481,62920179,63002188,63037940,63122863,63293166,63377949,63392698,63410545,63713698,64488703,64578609,64721548,64865986,64996833,65121346,65227639,65229265,65596941,65825743,65855153,65992305,66008044,66155503,66226265,66267298,66286903,66347204,66483463,66566865,66582200,66584698,66681325,66755646,67198639,67208856,67344826,67534498,67948349,68142205,68146444,68291746,68354746,68648049,69104839,69709881,70049698,70277644,70301105,70391792,70400623,70600089,70647108,70651310,70986298,71004656,71006503,71288150,71527380,72137839,72415426,72431239,72477325,72674481,72787286,72804120,72954823,73026093,73102881,73300639,73643863,74153839,74509833,74512546,74657983,74696698,74769223,74880706,74904975,74935543,75046063,75211303,75609963,75645528,75785068,76081639,76092654,76295872,76510889,76933543,77016826,77143639,77259706,77657728,77744698,78275118,78588062,78832186,78932839,79073146,79181239,79190766,79253698,79434106,79458260,79471518,79510701,79554298,79623823,79672639,79860008,79880238,79898640,80017590,80348503,80586463,80641757,80712590,80825644,81103639,81349498,81770646,81831860,81904635,81924206,82079308,82122946,82220365,82291423,82530632,82952866,83171983,83301583,83307586,83440070,83728903,84015298,84047725,84103700,84173133,84356383,84361326,84561943,84781572,84896698,84994444,85047943,85057505,85101219,85225216,85352096,85545780,85601839,85832856,85950463,86141623,86182906,86530340,86575265,86593063,86924839,86935825,86972790,87106639,87364944,88032205,88270906,88295143,88462903,88500062,88529503,88542273,88694743,88881105,89019823,89077306,89179663,89276781,89421946,89431663,89586823,89617639,89842509,89885970,90054200,90057441,90061118,90509506,90679063,90680698,90851746,90902263,90965698,91136506,91201639,91248832,91395272,91648066,91704826,91973839,92120503,92214946,92379693,92425708,92452639,92658703,92770976,92846961,93241903,93543223,93716239,93809839,93883423,93905986,93973783,94009423,94064428,94078790,94149103,94242466,94255889,94267543,94333639,94398583,94608950,94781720,94792089,94792639,94806512,94806823,94917703,94984663,94997839,95138023,95290444,95303839,95348623,95349912,95359639,95424223,95582626,95620783,95699839,95773063,95805992,95811223,95878368,95921239,95980639,95986183,96021108,96060703,96128743,96169639,96171583,96191239,96196423,96220313,96510449,96561963,96855108,97002433,97069070,98198232,98285562,98399866,98494833,98509498,98664438,98673826,99358444,99467121,99794968,99983266,...,524557804335625444469463312591593306981903723728508363230980152469494607709649329247646804941164527387967884435755550326629499942906717499785124598930172126339137572550231565544199799487982244245708064121325380810076150342508817788182844378696400031754012373973006635937177668544756953744439127914816707123655578707626492020814415626577129616629923289258101476628897714860992081194023760104497132445571110548101564189228824140404969758162799875256010541236588666888343389889094366544315746201055459572280262452204320272520661701718106948604140870807811044401418553423934135868860913162386159514215026983199345145420269782210338680195537157845107041621585240550043103230806415786017165223737648166217060704165845350337125545056497313867388703725974534157481166928108297080366750951516724346094427043709476257930261712116655194078768135122271712900749654326425332098498350511345880433775568433293835530132615440103699613999680827621324006636741670013245331370150375417906905413048366562585046297628833893411050657716530317726444875107365023305120572587991678363817809023490684990320564415369155613564862331957286512564850954539940684483073049819872645443640616593709793799148759818708460670674626518126613843848841294227169000624627770911640982128884415794893380825784979685430256980413184268046120587859748143324140706820534889355393178753499587246727467959631334763498903312270488430975770984833704852181212710458604430304931579500980283357222231781706432912408222760591620646919747842549078418857912813797188199454376847923869814569802691463350230490165199479414595647885667449059660456745838935204424230164119128801478125562895724831979241432639726552191883772738503979745005884188052613984144846379255258770556896160624856576962871912526656589187198002285565478044594497433113445098313494854016422289288147825194372985984085671173002728172204235348725834544674460263695298456572778715397103183251535716331658259259746536100015816935795797635355155260007729885094871211775519647985035666799433997407028130721579542181524523840295260134279945970267820796921827922408180618012166543639212452942758286008221079705191744245507208756820519710089050188602345984153892571100245389875037419150065576727215543048471736655887879438765756251219864323795853844428058871847536343429881325609890179725887918338663769001598216868886206207982697054794963300873322822492827968348953715669505056208505916712382441115469802587077044405674745736611316319940637038552908647372267467213238510772948093770581448375245526548694562465017511530798797218846356267100774387127435622551943544993763327524555409272104069577500782571456038374037534790502947632746202241313568664852446048555377976033683356092363043388463272622148884989572584571926236328340771205320124931205147971593047757855648924505102773139664358983426544799563628023415581179580013913852448690918666298346560707983883520915145471032098450177395692686679270350983544567750204427919326391111814915029126661644186635213995201491298489541169242913107312559926453898869000893397354696256312966744353674687761967626780031182751612954603282672115094038831171634742453629247572655524178}
19617  67122370943550544131006015614997146593246746998889823935626729220026523: {294135,313744,352962,646899,960547,999447,1372210,1646652,1783327,1821219,1960300,2173047,2352360,2509184,2524659,2547610,2646405,2822832,2839535,3017938,3057132,3175686,3407442,3578199,4012055,4162659,4279479,4311340,4814466,4863219,4954499,5173608,5183135,5659487,5768135,5820309,6219762,6245063,6261747,6610839,6921762,6937055,7654607,7656819,7682024,8005047,8324466,8496418,8642277,8816739,9164247,9165667,9648503,9674002,9742947,10089879,10112003,10137778,10288425,10353059,10552119,10800643,10974320,11129379,11244759,11399399,11475447,12137740,12248125,12282099,12346110,12611452,12972579,13093810,13169184,13202547,13547319,13632623,14006679,14064547,14134594,14482540,14499935,14565288,14697750,14815332,14879263,15429490,15497599,15622847,15677600,15712572,15774226,15896524,16297719,16371388,16385949,16449119,17311372,17320387,17379048,17392535,17399922,17637300,18016360,18123639,18329458,18438479,18515388,18534919,18547055,18813120,18945283,19551429,19599623,20056947,20067328,20092210,20268405,20871042,21164760,21256090,21619632,21866962,22096419,22189027,22256466,22575744,22576535,22709320,23113239,23150735,23414092,23810355,23820479,24110652,24322086,24598327,24616543,24743410,24803619,24862963,24916119,25293484,25397712,25507308,25547985,25739644,26050819,26111839,26184940,26226706,26232367,26264247,26634383,26694844,26754367,27064690,27091842,27251184,27499954,27582898,27780882,28302335,28572426,29016652,29212498,29296168,29339783,29513068,29692092,29978962,30013055,30263107,30657582,30955479,30992026,31067743,31366786,31421928,31698610,31890023,31949602,32156527,32177139,32477628,32953047,32958189,33962802,33992135,34210108,34280439,34942839,35166490,35349669,35720818,35940343,36015666,36054226,36112819,36485079,36770920,36980999,37005628,37345378,37474810,37486687,37580866,37886674,38038332,38251763,38518055,39068085,39359602,39404140,39623848,39691327,39774039,40361719,40790562,41132098,41195479,41335055,41367285,41452360,41627938,41672624,41699788,41732140,42199788,43020935,43233010,43357463,44125104,44189266,44382490,44491618,44576829,44969772,45262024,45329327,45453058,45465007,45702319,45747699,46221666,46287159,46509625,46610547,46633905,46881702,46942055,46983523,47284968,47772643,47787532,48224247,48389363,48689074,48740242,48937917,49210444,49228018,49602066,49618419,49640742,49642905,49652999,49678306,49742832,49945192,50078568,50227807,50733628,50919777,51019843,51029740,51209626,51625122,51879612,51921058,52096306,52448044,52688407,52952432,53195589,53258988,53350540,53351799,53392927,53503258,53552410,54123820,54418738,54625047,54803986,55170287,55683447,55782268,55793443,55811550,55960686,56185519,56188341,56199667,56330466,56338389,56943935,56950359,57001423,57134807,57172972,57258682,57477219,57992503,58259425,58603423,58642019,58760140,58807749,59054199,59098103,59532320,59571486,59951788,60625779,60730359,60927148,60939447,61014844,61213639,61218088,61235688,61309007,61592818,61901135,62129074,62209219,63703605,63856599,64020648,64178866,64262892,64314298,64375539,64790259,64932940,64948584,64950010,64980647,65308119,65618547,65812783,65972674,66189837,66283055,66318226,66342039,66558412,66758888,66775063,66961239,66973860,67167447,67169938,67260743,67928818,67950512,68110159,68332722,68866306,68870349,68890149,69555820,69715426,69877507,69911310,69924487,70009225,70098335,70312588,70325740,70339282,70432972,70512168,70568872,71438784,71475639,71577699,71754010,71781747,72023229,72214303,72226234,72532785,72800547,72812735,72885490,73067157,73511603,73917143,74172940,74226847,74281362,74526999,74572064,74619107,74683084,74760407,75103749,75539319,75837625,76058135,76275610,76444326,77276159,77342386,77368304,77657379,77722483,77919528,77940012,78160119,78526543,78711148,78752735,78797425,79242274,79326189,79389981,79539666,79651543,79842728,79970863,80065059,80368632,80564919,80664819,80864547,80871208,80901935,81163959,81174604,81238567,82510055,82931719,82934005,82955698,83227750,83431173,83466984,83660002,83797123,83830243,83893572,84011070,84075778,84118002,84146199,84390888,84408727,84503932,84838947,85036659,85183055,85237379,85410503,85923453,86104812,86237059,86516439,86662444,86757799,87039342,87320597,87375282,87391642,87459187,87462588,87659469,87794547,87847055,87989740,88285047,88308885,88755820,89007528,89264247,89381074,89409225,89611808,89823069,90172079,90394642,90414711,90856857,90980109,91005150,91020759,91269762,91395226,91511203,91530732,91779727,92286863,92338882,92419343,92478579,92946508,92963319,93251119,93381299,93859663,93900357,93957394,94055903,94099474,94133452,94196144,94503282,94556910,94560943,94616423,94731335,94939749,95083186,95089047,95262007,95369840,95570547,96745474,96899308,97072160,97082322,97298979,97368124,97470508,97682019,97687762,97879427,98144419,98317043,99012066,99127327,99141763,99322825,99346444,99400947,99520806,99825010,99840898,99873300,99877047,99985063,...,786836706503438166704194968887389960472855585592762544846470228704241911564473993871470207411746791081951826653633325489944249914360076249677686898395258189508706358825347348316299699231973366368562096181988071215114225513763226682274266568044600047631018560959509953905766502817135430616658691872225060685483368061439738031221623439865694424944884933887152214943346572291488121791035640156745698668356665822152346283843236210607454637244199812884015811854883000332515084833641549816473619301583189358420393678306480408780992552577160422906211306211716566602127830135901203803291369743579239271322540474799017718130404673315508020293305736767660562432377860825064654846209623679025747835606472249325591056248768025505688317584745970801083055588961801236221750392162445620550126427275086519141640565564214386895392568174982791118152202683407569351124481489637998147747525767018820650663352649940753295198923160155549420999521241431986009955112505019867997055225563126860358119572549843877569446443250840116575986574795476589667312661047534957680858881987517545726713535236027485480846623053733420347293497935929768847276431809911026724609574729808968165460924890564690698723139728062691006011939777189920765773261941340753500936941656367461473193326623692340071238677469528145385470619776402069180881789622214986211060230802334033089768130249380870091201939447002145248354968405732646463656477250557278271819065687906645457397369251470425035833347672559649368612334140887430970379621763823617628286869220695782299181565271885804721854704037195025345735247799219121893471828501173589490685118758402806636345246178693202217188344343587247968862148959589828287825659107755969617508826282078920976217269568882888155835344240937284865444307868789984883780797003428348217066891746149670167647470242281024633433932221737791559478976128506759504092258306353023088751817011690395542947684859168073095654774877303574497487388889619804150023725403693696453032732890011594827642306817663279471977553500199150996110542196082369313272286785760442890201419918955401731195382741883612270927018249815458818679414137429012331619557787616368260813135230779565133575282903518976230838856650368084812556128725098365090823314572707604983831819158148634376829796485693780766642088307771304515144821988414835269588831877507995653502397325303329309311974045582192444951309984233739241952523430573504257584312758875068573661673204703880615566608512118604916974479910955557829362971058401200819857766159422140655872172562868289823041843697526267296198195828269534400651161580691153433827915317490644991286833113908156104366251173857184057561056302185754421449119303361970352997278669072833066964050525034138544565082694908933223327484358876857889354492511156807980187396807721957389571636783473386757654159709496538475139817199345442035123371769370020870778673036377999447519841061975825281372718206548147675266093539030018905526475316851625306641878989586667722372543689992466279952820992802236947734311753864369660968839889680848303501340096032044384469450116530512031642951440170046774127419431904924008172641058246757452113680443871358983286267}
19618  67385194571985197405499106100477798010751609296915372132553046795240978: {274526,392180,470616,509678,529443,744686,802657,862532,919837,1153981,1332596,2058315,2195536,2428292,2450375,2469978,2853278,2897396,2900881,2940450,3136480,3366212,3528540,3710557,3763776,3821415,3825937,4076176,4234248,4252526,4401757,4526907,4543256,4585698,4631581,4763529,4770932,4950206,5111163,5389175,5414606,5550212,5705972,6118417,6419288,6467010,6484292,6721771,6898144,6913981,7221699,7497278,7727966,7760412,8293016,8348996,8814452,8831377,8879246,9167581,9229016,9329643,9602530,10209092,10382643,10673396,10942478,11099288,11171197,11523036,11723617,11755652,11855726,12218996,12486699,12493981,12744627,12990596,13260817,13448366,13453172,13588381,13717900,14069492,14128766,14511003,14581646,14839172,14993012,15172175,15206667,15259886,15300596,15432337,15711326,15764315,16376132,16461480,16612478,16614397,17296772,17558912,17603396,17681437,18063092,18103175,18206610,18519165,18675572,18917178,19163197,19420384,19597000,19640715,19753776,19870655,20317537,20464235,20861486,20950096,21201891,21639215,21723810,21730292,21847932,22046625,22222998,22394017,22520450,23076926,23144235,23172064,23199896,23421457,23516400,23568858,23626081,23661339,23844786,23932477,24164852,24399278,24557082,24687184,24847777,24949117,25084160,25634147,25958557,25967058,26068572,26099883,26455950,26742596,26960797,27024540,27160381,27494187,27773082,27828056,28153981,28219680,28351837,28386650,28552526,28826176,29267615,29434897,29461892,29675288,30100992,30138315,30411937,30606481,30804059,30817652,30933278,31148846,31306563,31616855,31747140,31884135,32147536,32174555,32224526,32248477,32429448,32731175,32800443,33071492,33204637,33221492,33368555,33384699,33490081,33863616,34009744,34063980,34436881,34670867,35004446,35018996,35121138,35843581,36122456,36165978,36270815,36334912,36463546,36483129,36620210,36772381,36891335,37041176,37115115,37234081,37418257,37940226,38096568,38260962,38392478,38609466,39277410,39334717,39340059,39443678,39589456,39604271,39786337,40042266,40491278,40597035,40637763,40876776,41249931,41273972,41374347,41486077,41535278,41671323,41895904,42193981,42762635,42858639,42902852,43303504,43524978,43702043,43818747,43937396,43944252,44116957,44269602,44538138,44968443,45007523,45283736,45469646,45493597,45707252,45880766,45963650,45986373,46090081,46257035,46333378,46488039,46590452,46936081,47050179,47132892,47547915,47591687,47723678,47924403,48020888,48539006,48646772,48716442,48854557,49255175,49266577,49430881,49529810,49840381,50003677,50717776,50944203,50971166,51058081,51315162,51700897,51815450,52090780,52100317,52124735,52129946,52165175,52418557,52581086,52749735,53032052,53287777,53565827,53581227,53782478,53836381,53982206,54023499,54081339,54387416,55000081,55156380,55508442,56018067,56212215,56266384,56299357,56371299,56565566,56577530,56752957,56830011,57057498,57128977,57875617,58393981,58414027,58536206,58833472,59039403,59106210,59435772,59456698,59516126,59734415,59959696,60360337,60687278,60718717,60996932,61075297,61185843,61513055,61628888,61698147,61716212,61747763,61853437,62147396,62178540,62344081,62431490,62441907,62508936,62549682,62598210,62627678,63038881,63046624,63299682,63399806,63417035,63520957,63785006,63787175,64271377,64298996,64369019,64849515,64946017,65213857,65250556,65413981,65560055,65746081,66136088,66157892,66187656,66190540,66274766,66283899,66323776,66404881,66573735,66655646,66688175,66737427,66771424,66861757,67454658,67572577,67654775,67697266,67828897,67893036,68179587,68211217,68362478,68833496,69172816,69332499,69535763,69590881,69727835,69862387,69899581,70245278,70322553,70328737,70633117,70762307,70927452,70994366,70995997,71011984,71135732,71466215,71681298,71832637,71891857,72304381,72833396,73033611,73110363,73450175,73528247,73815666,73842027,73862497,74032381,74244596,74403099,74415400,74461113,74517459,74614248,74705437,74917788,74939735,75107288,75117852,75258397,75858337,75933812,76100442,76158935,76268555,76522610,76544610,76636292,76814439,77137057,77437683,77814206,77819418,77881587,77915197,78144459,78410332,78672066,78738932,78927517,79422877,79428648,79472017,79667857,79888482,80025810,80254887,80328615,80539778,80629777,80677117,80834372,80912737,80973812,81146557,81166175,81185730,81239581,81252596,81628107,81647584,81954206,82205979,82421626,82688797,83169937,83198015,83342737,83448610,83673402,83717325,83811997,83941029,84313981,84495699,84520081,84938140,85142132,85207357,85360864,85683856,85718881,85759458,85796497,85834052,85888023,86021338,86293981,86387012,86556817,86598112,86668381,86717006,86944775,87077492,87324157,87491396,87565643,87890735,87907175,88025437,88041215,88093981,88140210,88162237,88196257,88211090,88253116,88456052,88763581,88774763,88991137,89023357,89281652,89298480,89357229,89556596,89927682,90164881,90684577,90880381,90963217,91033406,91099837,91110296,91234657,91320971,91367677,91390722,91522266,91550881,91715678,91730557,91827132,91853532,92248417,92296081,92343457,92389227,92576017,92644381,92712097,92716175,92716771,93083581,93188881,93193611,93215080,93353855,93454237,93533437,93688381,93930337,94016224,94361437,94505617,94916881,94944097,95236381,95251712,95271697,95300852,95399087,95436932,95480317,95579677,95608081,95653981,95708996,95760926,95796577,95877757,95937697,96024637,96030972,96078097,96099517,96107581,96143581,96149917,96199057,96202081,96214717,96268299,96394338,96471447,96593246,96710380,97067396,97399410,97421966,97422876,97425015,98388935,98421547,98911834,98959011,99041816,99369332,99477339,99803410,99837618,...,1049115608671250888938926625183186613963807447457016726461960304938989215419298658495293609882329054775935768871511100653258999885813434999570249197860344252678275145100463131088399598975964488491416128242650761620152300685017635576365688757392800063508024747946013271874355337089513907488878255829633414247311157415252984041628831253154259233259846578516202953257795429721984162388047520208994264891142221096203128378457648280809939516325599750512021082473177333776686779778188733088631492402110919144560524904408640545041323403436213897208281741615622088802837106847868271737721826324772319028430053966398690290840539564420677360391074315690214083243170481100086206461612831572034330447475296332434121408331690700674251090112994627734777407451949068314962333856216594160733501903033448692188854087418952515860523424233310388157536270244543425801499308652850664196996701022691760867551136866587671060265230880207399227999361655242648013273483340026490662740300750835813810826096733125170092595257667786822101315433060635452889750214730046610241145175983356727635618046981369980641128830738311227129724663914573025129701909079881368966146099639745290887281233187419587598297519637416921341349253036253227687697682588454338001249255541823281964257768831589786761651569959370860513960826368536092241175719496286648281413641069778710786357506999174493454935919262669526997806624540976861951541969667409704362425420917208860609863159001960566714444463563412865824816445521183241293839495685098156837715825627594376398908753695847739629139605382926700460980330398958829191295771334898119320913491677870408848460328238257602956251125791449663958482865279453104383767545477007959490011768376105227968289692758510517541113792321249713153925743825053313178374396004571130956089188994866226890196626989708032844578576295650388745971968171342346005456344408470697451669089348920527390596913145557430794206366503071432663316518519493072200031633871591595270710310520015459770189742423551039295970071333598867994814056261443159084363049047680590520268559891940535641593843655844816361236024333087278424905885516572016442159410383488491014417513641039420178100377204691968307785142200490779750074838300131153454431086096943473311775758877531512502439728647591707688856117743695072686859762651219780359451775836677327538003196433737772412415965394109589926601746645644985655936697907431339010112417011833424764882230939605174154088811349491473222632639881274077105817294744534934426477021545896187541162896750491053097389124930035023061597594437692712534201548774254871245103887089987526655049110818544208139155001565142912076748075069581005895265492404482627137329704892097110755952067366712184726086776926545244297769979145169143852472656681542410640249862410295943186095515711297849010205546279328717966853089599127256046831162359160027827704897381837332596693121415967767041830290942064196900354791385373358540701967089135500408855838652782223629830058253323288373270427990402982596979082338485826214625119852907797738001786794709392512625933488707349375523935253560062365503225909206565344230188077662343269484907258495145311048356}
19619  67649040008359787425879495269500928627590277451345219694371516902624888: {411789,490225,588270,627488,705924,764517,1078165,1117029,1293798,1665745,1921094,1998894,2371237,2744420,3035365,3293304,3566654,3621745,3642438,3704967,3920600,3975349,4207765,4279917,4346094,4410675,4704720,5018368,5049318,5095220,5292810,5616877,5645664,5679070,5855317,5963665,6035876,6114264,6325309,6351372,6378789,6675757,6814884,6878547,6937765,7132465,7156398,7256389,7380529,7425309,7965397,8024110,8075389,8105365,8121909,8325318,8555149,8558958,8622680,9628932,9700515,9711877,9726438,9908998,10313917,10347216,10366270,10436245,10783621,11018065,11245917,11318974,11536270,11591949,11640618,11950549,12439524,12490126,12523494,12761365,13221678,13318869,13341745,13472017,13843524,13874110,14297629,14401717,14403795,14694565,15236461,15273745,15309214,15313638,15364048,16010094,16238245,16413717,16644709,16648932,16816465,16992836,17147375,17284554,17460829,17583541,17586865,17633478,17783589,18328494,18331334,18548965,18741265,19125745,19297006,19337917,19348004,19485894,19601629,20172549,20179758,20224006,20264017,20275556,20299909,20470165,20576850,20706118,20980369,21104238,21193149,21601286,21620965,21672277,21872469,21905461,21948640,22004245,22258758,22489518,22578865,22798798,22889829,22950894,22952677,23344465,23566989,23573917,23822917,24275480,24349549,24496250,24564198,24692220,24918717,25222904,25945158,25965877,26187620,26338368,26405094,26637109,27094638,27162865,27265246,27309915,28013358,28066357,28129094,28269188,28375767,28471237,28965080,28999870,29130576,29342797,29395500,29630664,29643697,29758526,29768101,30206065,30858980,30995198,31245694,31292229,31355200,31425144,31548452,31607149,31793048,32318077,32411029,32585715,32595438,32742776,32771898,32898238,33334497,33417541,33428245,33483217,33780675,34615389,34622744,34640774,34674289,34758096,34785070,34799844,35274600,35353287,35713117,35767179,36032720,36247278,36598917,36658916,36827365,36835623,36876958,37030776,37069838,37094110,37438369,37626240,37636237,37688209,37890566,38255701,38522065,38679157,38950587,39102858,39199246,39623269,39683925,39930829,40113894,40134656,40184420,40536810,40795117,41339365,41526865,41659623,41742084,42018277,42329520,42512180,42579975,42828789,43239264,43361917,43704817,43733924,43773745,44192838,44378054,44512932,45151488,45153070,45206629,45418640,45991069,46226478,46301470,46399917,46723269,46828184,46953349,47588989,47620710,47640958,47962429,48221304,48336789,48394357,48458341,48644172,48815701,49196654,49233086,49486820,49607238,49725926,49832238,50332081,50586968,50636317,50662189,50795424,51014616,51095970,51479288,51592465,52101638,52223678,52369880,52453412,52464734,52506669,52528494,52681707,53268766,53389688,53508734,53628565,53925277,54129380,54183684,54248967,54502368,54695319,54921745,54930315,54999908,55165796,55561764,56604670,56784877,56868949,56910339,57083281,57134065,57140689,57144852,57187429,57391443,57588717,57869077,57914199,58033304,58238065,58424996,58592336,58679566,58680817,58916115,59026136,59104189,59165517,59384184,59758417,59957924,60026110,60063399,60229309,60455749,60526214,60736917,60808465,60998389,61315164,61660909,61910958,61984052,62135486,62204029,62302917,62733572,62843856,63397220,63780046,63826129,63856549,63899204,64313054,64354278,64955256,65074837,65113475,65179477,65287467,65640349,65718877,65906094,65916378,66050821,66290065,66404403,66644869,66807207,67882981,67925604,67984270,68204469,68420216,68560878,68821149,68945475,69500067,69555517,69885678,70332980,70699338,71115361,71441636,71585517,71682229,71880686,72031332,72108452,72225638,72625429,72808509,72854317,72970158,73074663,73465789,73541840,73935301,73961998,74011256,74294715,74626789,74690756,74949620,74973374,75161732,75419089,75773348,76014301,76026589,76076664,76246165,76456749,76503526,76972743,77036110,77145265,77284117,77684245,77723175,78136170,78194919,78719204,78808280,78871629,79014877,79247696,79382654,79489969,79548078,79721509,79939789,80373745,80654257,80673717,80723438,80973309,81399889,81497389,81563195,81581124,81639421,82238101,82264196,82390958,82670110,82697365,82734570,82738175,82904720,83255876,83262663,83345248,83399576,83464280,83555749,83894437,84004561,84399576,84722077,84848349,84866295,85419277,85586247,85705717,86041870,86129917,86466020,86661589,86714926,86877349,87006961,87804309,88250208,88378532,88409809,88478449,88659315,88764980,88919665,88983236,89153658,89185047,89274189,89576869,89939544,90524048,90658654,90906116,90930014,91030917,91041745,91404638,91495398,91831429,91873009,92428837,92443332,92574318,92796277,92805745,92943709,93019250,93221094,93267810,93647235,93763404,93824523,93884110,93897315,93941517,93967046,94065589,94249429,94569936,94570717,94917265,94949523,95099709,95378869,95545286,95575064,95677509,95795365,96178129,96448494,96778726,97378148,97415089,97480484,97875834,98012915,98137669,98183557,98327317,98420888,98423665,98456036,99204132,99236838,99281484,99285810,99305998,99356612,99364117,99412149,99485664,99708949,99890384,99983469,...,1573673413006876333408389937774779920945711171185525089692940457408483823128947987742940414823493582163903653307266650979888499828720152499355373796790516379017412717650694696632599398463946732737124192363976142430228451027526453364548533136089200095262037121919019907811533005634270861233317383744450121370966736122879476062443246879731388849889769867774304429886693144582976243582071280313491397336713331644304692567686472421214909274488399625768031623709766000665030169667283099632947238603166378716840787356612960817561985105154320845812422612423433133204255660271802407606582739487158478542645080949598035436260809346631016040586611473535321124864755721650129309692419247358051495671212944498651182112497536051011376635169491941602166111177923602472443500784324891241100252854550173038283281131128428773790785136349965582236304405366815138702248962979275996295495051534037641301326705299881506590397846320311098841999042482863972019910225010039735994110451126253720716239145099687755138892886501680233151973149590953179334625322095069915361717763975035091453427070472054970961693246107466840694586995871859537694552863619822053449219149459617936330921849781129381397446279456125382012023879554379841531546523882681507001873883312734922946386653247384680142477354939056290770941239552804138361763579244429972422120461604668066179536260498761740182403878894004290496709936811465292927312954501114556543638131375813290914794738502940850071666695345119298737224668281774861940759243527647235256573738441391564598363130543771609443709408074390050691470495598438243786943657002347178981370237516805613272690492357386404434376688687174495937724297919179656575651318215511939235017652564157841952434539137765776311670688481874569730888615737579969767561594006856696434133783492299340335294940484562049266867864443475583118957952257013519008184516612706046177503634023380791085895369718336146191309549754607148994974777779239608300047450807387392906065465780023189655284613635326558943955107000398301992221084392164738626544573571520885780402839837910803462390765483767224541854036499630917637358828274858024663239115575232736521626270461559130267150565807037952461677713300736169625112257450196730181646629145415209967663638316297268753659592971387561533284176615542609030289643976829670539177663755015991307004794650606658618623948091164384889902619968467478483905046861147008515168625517750137147323346409407761231133217024237209833948959821911115658725942116802401639715532318844281311744345125736579646083687395052534592396391656539068801302323161382306867655830634981289982573666227816312208732502347714368115122112604371508842898238606723940705994557338145666133928101050068277089130165389817866446654968717753715778708985022313615960374793615443914779143273566946773515308319418993076950279634398690884070246743538740041741557346072755998895039682123951650562745436413096295350532187078060037811052950633703250613283757979173335444745087379984932559905641985604473895468623507728739321937679779361696607002680192064088768938900233061024063285902880340093548254838863809848016345282116493514904227360887742717966572534}
19620  67913911197055170989373883496684922679515002019737146530149731650243795: {215699,333251,450731,549052,724571,784360,841811,882405,941232,1019356,1058886,1193099,1310051,1489372,1543739,1605314,1725064,1738259,1839674,1940697,2204291,2307962,2553059,2665192,2669171,2881641,2901179,2939819,2998341,3055691,3171491,3364331,3430525,3479939,3710939,3749411,3826331,3864779,4116630,4391072,4440539,4517171,4632059,4670339,4856584,4900750,4939956,5349981,5463657,5706556,5794792,5801762,5880900,6005099,6272960,6369025,6384659,6519141,6687731,6732424,6801251,7057080,7367771,7421114,7480859,7527552,7544845,7573977,7642830,7651874,7706819,7857299,7939215,8152352,8420459,8468496,8505052,8518605,8757491,8803514,8869691,9053814,9086512,9168539,9171396,9263162,9527058,9541379,9541864,9900412,10222326,10321739,10432931,10734597,10778350,10829212,10840019,11100424,11411944,11540891,11761619,12036165,12165539,12236834,12275531,12487977,12531899,12751331,12838437,12838576,12934020,12968584,13262219,13407899,13443542,13796288,13827962,14170619,14351699,14443398,14589657,14863497,14994556,15455932,15469931,15520824,15541811,15549405,16187291,16437611,16586032,16697992,16972691,16978461,17186219,17304405,17363939,17460927,17576939,17628904,17662754,17758492,18320171,18335162,18458032,18659286,18735189,18785241,19200371,19205060,19832517,20319731,20418184,20424251,20667851,20765286,20811165,21241045,21346792,21465491,21776459,21879971,21884956,21983411,22070041,22198576,22342394,22499531,22945379,22963821,22970457,23046072,23447234,23458139,23511304,23662739,23711452,23935091,24015141,24139019,24185005,24437992,24951851,24973398,24987962,25344445,25489254,25659299,25926831,25981192,25994939,26162459,26363219,26450217,26521634,26697179,26896732,26906344,26963771,26997059,27063611,27163379,27176762,27435800,27492741,27497001,27561731,27694259,27818917,27892811,28138984,28157099,28257532,28354979,28486739,28649929,28945509,28946891,29022006,29163292,29228841,29678344,29862491,29986024,30269637,30294901,30336009,30344350,30413334,30415331,30447779,30519772,30601192,30609899,30864674,30865275,31059177,31422652,31528630,31656357,31803371,32401929,32571659,32734525,32752264,32922960,33208379,33224956,33228794,33240131,33388137,33734277,33778691,33873491,34198197,34426341,34472219,34593544,35117824,35130611,35193131,35206792,35336485,35362874,35411699,35847659,36126184,36206350,36313019,36404797,36413220,36498659,36744375,36846297,36961499,37038330,37238339,37269059,37351144,37361171,37453211,37606451,37834356,38326394,38369651,38573725,38840768,38885771,38917737,38976611,39194000,39281430,39369419,39435565,39507552,39607641,39640571,39730811,39741310,40635074,40641957,40897869,40928470,40974661,41046059,41164859,41490899,41579651,41722972,41874971,41900192,42020037,42193641,42403782,42843851,43106579,43278430,43426811,43447620,43460584,43499805,43695864,43948739,44093250,44122139,44151011,44263597,44381699,44445996,44637789,44726771,44788034,45040900,45044377,45070691,45356411,45441971,45527459,45584411,45669779,45823645,45953819,46123859,46153852,46265339,46288470,46344128,46378379,46399792,46492797,46715977,46773011,46842914,46868541,46941659,46969739,47032800,47053931,47137716,47252162,47322678,47557571,47689572,47864954,47891891,47947499,48197339,48329704,48722651,48798556,48860411,48893157,49114164,49157847,49347357,49354691,49374368,49436819,49464179,49695554,49873619,49898234,50168320,50230525,50768051,50779141,51268294,51647869,51917114,51934116,51961161,52106651,52133219,52137144,52177605,52199766,52371971,52583651,52662899,52911900,53140225,53190709,53215619,53294291,53320499,53477579,53485192,53869019,53921594,54049080,54103019,54320762,54370917,54465731,54667405,54775379,54988374,55006859,55032539,55315437,55546164,55569971,55604757,55641165,55656112,56244721,56307962,56439360,56634251,56703674,56773300,56785139,56835371,56835849,57010931,57105052,57136091,57161099,57652352,57833291,58535230,58654287,58798869,58867331,58869794,58916219,58923784,59135819,59306171,59350576,59379059,59645699,59867689,60079931,60152051,60170841,60201984,60276630,60391931,60511571,60678731,60750251,60805215,60823874,61083059,61177859,61212962,61608118,61635304,61858525,61866556,62297692,62491619,62613126,62630891,62700419,63070019,63233710,63391739,63494280,63552011,63768270,63939611,64234451,64295072,64302299,64349110,64449052,64496954,64505411,64759849,64858896,64976819,65088539,65244611,65422499,65444699,65462350,65555579,65566765,65600886,65754659,66142984,66289257,66409274,66413579,66442984,66500891,66567081,66737110,66769398,66980162,67194779,67474331,67661725,67727232,67729605,67837859,67859171,68019488,68127960,68177891,68241419,68536931,68747051,68749885,68873762,68957245,69123251,69339717,69341734,69452205,69476171,69620819,69744491,69847331,70008892,70031939,70037992,70242276,70358531,70419539,70460171,70642619,71025659,71065811,71125979,71431065,71461437,71687162,71743499,72019859,72157451,72244912,72331956,72489971,72541630,72626219,72669824,72781451,72927092,72966258,72974629,72974771,73031245,73032611,73090379,73240420,73544762,73664099,73782670,73794981,73834811,73849629,73929371,74061419,74082352,74230230,74410857,74468162,74588889,74715779,74748357,74836514,74882459,74947405,74956331,75066899,75268859,75287171,75651731,75706139,75868931,75880452,76072477,76193136,76521924,76643955,76779179,76784956,76902491,77165411,77218932,77409179,77461211,77480065,77716441,78152457,78199091,78250019,78335517,78416965,78436139,78554820,78669434,78680118,78697101,78705131,78792741,78887356,78955451,78988691,79178912,79208542,79246525,79253459,79483451,79572674,79646771,79679339,79695611,79874005,79903149,79987139,80083739,80084532,80260091,80263101,80323979,80467259,80609891,80641499,80704619,80924531,80982556,81127331,81158411,81194070,81251459,81275526,81620771,81753552,81773291,81940139,82045811,82121051,82178629,82226051,82499862,82547944,82627379,82715771,82748694,82789211,82847819,82935491,82972154,83070556,83196779,83225651,83342646,83355179,83628181,83791808,83993099,84076931,84118739,84285251,84340499,84387962,84464339,84907005,84939779,85073819,85100531,85418579,85525270,85717278,85744979,85783811,85805704,86053619,86118277,86168171,86269451,86319899,86432939,86570219,86582651,86607008,86619899,87049139,87049956,87121739,87349739,87404086,87515891,87551291,87637494,87762179,87808691,87866651,87874792,87888504,87916225,88019349,88050779,88119299,88153451,88233914,88244171,88345619,88446419,88539204,88579811,88777739,88783849,88908251,88940699,89048339,89076276,89302045,89355971,89460491,89481299,89522819,89574539,89646611,89667131,89920931,89936886,90015046,90039165,90090659,90135565,90189419,90277619,90394211,90509651,90567472,90699491,90708899,90789321,90793211,90932291,90939292,90987194,91005731,91114931,91123979,91249811,91276571,91414504,91522859,91566179,91703459,91728971,91761532,91784077,91855451,91880531,91927300,91972746,92004851,92021291,92151659,92167811,92180162,92359139,92499611,92514070,92591819,92660219,92666756,92824691,92866437,92976078,93180904,93203229,93205019,93288011,93315419,93363445,93369851,93390131,93672899,93687025,93711179,93761771,93861419,93872162,93928739,93952165,94100358,94142291,94159619,94182611,94265784,94312331,94367411,94378331,94416299,94522619,94590011,94615571,94681091,94705931,94716685,94836611,94869539,94883531,94920491,94961459,95071859,95084771,95095830,95118851,95135699,95181371,95183374,95257979,95277659,95293259,95312579,95346851,95384171,95447356,95459939,95466971,95518691,95528819,95591291,95600891,95670069,95719139,95777771,95809691,95814899,95847971,95848806,95889179,95952011,95958371,95995019,96023579,96041776,96048611,96065531,96098459,96114299,96126539,96152579,96169019,96197291,96218939,96221459,96223331,96227819,96230171,96232379,96234419,96235259,96235571,96235739,96236051,96469581,96531417,97078012,97293544,97432884,97618969,97709114,98399005,98510350,98533154,98859141,98861762,98874567,99059620,99680762,...,2360510119510314500112584906662169881418566756778287634539410686112725734693421981614410622235240373245855479960899976469832749743080228749033060695185774568526119076476042044948899097695920099105686288545964213645342676541289680046822799704133800142893055682878529861717299508451406291849976075616675182056450104184319214093664870319597083274834654801661456644830039716874464365373106920470237096005069997466457038851529708631822363911732599438652047435564649000997545254500924649449420857904749568075261181034919441226342977657731481268718633918635149699806383490407703611409874109230737717813967621424397053154391214019946524060879917210302981687297133582475193964538628871037077243506819416747976773168746304076517064952754237912403249166766885403708665251176487336861650379281825259557424921696692643160686177704524948373354456608050222708053373444468913994443242577301056461951990057949822259885596769480466648262998563724295958029865337515059603991165676689380581074358717649531632708339329752520349727959724386429769001937983142604873042576645962552637180140605708082456442539869161200261041880493807789306541829295429733080173828724189426904496382774671694072096169419184188073018035819331569762297319785824022260502810824969102384419579979871077020213716032408584436156411859329206207542645368866644958633180692407002099269304390748142610273605818341006435745064905217197939390969431751671834815457197063719936372192107754411275107500043017678948105837002422662292911138865291470852884860607662087346897544695815657414165564112111585076037205743397657365680415485503520768472055356275208419909035738536079606651565033030761743906586446878769484863476977323267908852526478846236762928651808706648664467506032722811854596332923606369954651342391010285044651200675238449010502942410726843073900301796665213374678436928385520278512276774919059069266255451035071186628843054577504219286964324631910723492462166668859412450071176211081089359098198670034784482926920452989838415932660500597452988331626588247107939816860357281328670604259756866205193586148225650836812781054749446376456038242412287036994858673362849104782439405692338695400725848710556928692516569951104254437668386175295095272469943718122814951495457474445903130489389457081342299926264923313913545434465965244505808766495632523986960507191975909987927935922136746577334853929952701217725857570291720512772752938276625205720985019614111641846699825536355814750923439732866673488088913175203602459573298478266421967616517688604869469125531092578801888594587484808603201953484742073460301483745952471934973860499341724468313098753521571552172683168906557263264347357910085911058991836007218499200892151575102415633695248084726799669982453076630573668063477533470423940562190423165872168714910350420160272962479128489615425419451598036326105370115308110062612336019109133998342559523185927475844118154619644443025798280617090056716579425950554875919925636968760003167117631069977398839858462978406710843202935261593108982906519669042544910504020288096133153408350349591536094928854320510140322382258295714772024517923174740272356341041331614076949858801}
19621  68179812097570060700329667922417114979401378252764473670315783051014153: {686315,823578,980450,1176540,1254976,1274195,1411848,1509431,1529034,1588329,1861715,2156330,2234058,2332043,2407971,2587596,2759511,2802371,3331490,3461943,3842188,3997788,4249511,4742474,5070443,5488840,5890871,6070730,6174945,6586608,7069463,7133195,7133308,7243490,7284876,7351125,7409934,7841200,7889531,7950698,8349131,8415530,8559834,8692188,8702643,8821350,9409440,9413651,9712871,9985451,10036736,10098636,10190440,10585620,10631315,11131671,11233754,11291328,11347511,11358140,11464245,11477811,11527319,11710634,11927330,12071752,12228528,12375515,12650618,12702744,12757578,13205271,13351514,13536515,13580721,13629768,13757094,13875530,13894743,14264930,14290587,14312796,14403191,14512778,14610743,14761058,14850618,15333489,15425291,15930794,15979703,16048220,16150778,16167525,16210730,16243818,16650636,16972439,17020211,17110298,17117916,17245360,17865911,18355251,18678443,18743195,18796199,19257864,19319915,19401030,19423754,19452876,19817996,20165313,20266091,20572391,20627834,20694432,20732540,20741943,20872490,21383243,21567242,21665097,21907703,22036130,22101431,22198115,22427291,22491834,22637948,22648019,22733543,23072540,23183898,23281236,23381699,23543051,23901098,24006325,24237971,24621611,24879048,24980252,25046988,25522730,25612691,25968551,26237771,26347319,26443356,26494131,26637738,26683490,26776043,26944034,27125891,27217751,27356195,27502743,27687048,27748220,27988929,28474151,28595258,28658231,28803434,28807590,29389130,29639315,29646731,29771159,30097271,30269351,30472922,30547490,30618428,30627276,30728096,30805943,31089731,31147929,31610411,32020188,32167043,32476490,32682251,32827434,33169331,33289418,33297864,33513591,33620915,33632930,33985672,34146251,34294750,34550339,34569108,34677851,34868471,34921658,35167082,35170851,35173730,35180483,35266956,35321915,35567178,35722199,36454115,36656988,36662668,37097930,37422419,37460097,37481943,37482530,38028011,38149715,38194091,38233881,38251490,38300291,38594012,38675834,38683139,38696008,38971788,39203258,39278315,39472151,39782451,40345098,40359516,40448012,40528034,40551112,40599818,40765143,40940330,41153700,41222291,41412236,41531195,41842883,41960738,42050843,42206411,42208476,42288491,42386298,43202572,43241930,43344554,43506731,43533009,43744938,43810922,43897280,44008490,44517516,44979036,45157730,45211283,45516525,45597596,45620001,45711731,45779658,45901788,45905354,46297011,46688930,46799543,47133978,47147834,47292945,47556311,47645834,48212411,48463319,48550960,48699098,48820739,48858923,48992500,49128396,49384440,49837434,49843191,50191511,50445808,51401783,51558311,51890316,51904043,51931754,52153715,52375240,52676736,52810188,53044311,53274218,53803259,53871011,53930891,54189276,54309525,54325730,54530492,54619830,55557495,56026716,56132714,56258188,56301125,56538376,56751534,56874791,56942474,57193331,57489591,57691283,57692315,57875111,57930160,57999740,58137611,58213643,58261152,58384451,58685594,58791000,58907651,58922145,59261328,59287394,59517052,59536202,59554871,59611965,59764571,59887571,60412130,60952611,60998195,61020059,61283243,61392705,61427543,61585763,61717960,61990396,62491388,62584458,62710400,62850288,63066131,63096904,63163739,63214298,63586096,63605673,63863123,64625111,64636154,64822058,64917645,65171430,65190876,65485552,65543796,65796476,66057623,66139875,66668994,66788819,66835082,66856490,66907931,66966434,67182051,67539431,67561350,68227931,69230778,69245488,69248051,69281548,69348578,69432705,69516192,69570140,69599688,70184099,70201451,70264371,70549200,70706574,70878243,70966625,70984017,71381315,71426234,71445011,71534358,71797431,72065440,72229451,72494556,72807971,73197834,73317832,73362743,73473371,73654730,73671246,73753916,74061552,74139676,74188220,74543331,74584403,74847351,74876738,75079991,75252480,75272474,75376418,75781132,76511402,76625831,76890443,76902441,77030291,77044130,77109443,77333195,77358314,77483891,77738519,77872115,77875671,77901174,78205716,78299649,78398492,78929411,79246538,79367850,79861658,79987691,80174039,80227788,80269312,80368840,80561315,80832971,80882391,81073620,81408251,81481143,81533291,81590234,81600443,82108823,82251371,82482561,82678730,83053730,83319246,83484168,83903171,83939123,84036554,84291923,84406859,84461943,84588611,84659040,85024360,85055511,85131851,85132139,85159950,85657578,86478528,86723834,87015899,87378083,87409634,87467848,87511115,87547490,87802845,88304691,88385676,88756108,88795643,89025864,89067131,89586071,89797979,89835083,90302976,90306140,90413258,90414945,90810263,90837280,91158865,91235811,91251203,91428443,91550525,91819443,91840883,91982138,92412177,92452956,92602940,92680631,92799834,92806091,93446538,93656368,93906698,93919689,94085111,94259111,94580411,94850565,95177978,95241420,95281916,95652405,95924858,95981195,96442608,96523665,96673578,96745431,96788714,96916682,97190483,97288344,97631402,98164631,98193525,98393308,98401329,98466172,98576843,98609195,98612051,98810963,98973640,99147971,99214476,99451852,99613911,99664476,...,3147346826013752666816779875549559841891422342371050179385880914816967646257895975485880829646987164327807306614533301959776999657440304998710747593581032758034825435301389393265198796927893465474248384727952284860456902055052906729097066272178400190524074243838039815623066011268541722466634767488900242741933472245758952124886493759462777699779539735548608859773386289165952487164142560626982794673426663288609385135372944842429818548976799251536063247419532001330060339334566199265894477206332757433681574713225921635123970210308641691624845224846866266408511320543604815213165478974316957085290161899196070872521618693262032081173222947070642249729511443300258619384838494716102991342425888997302364224995072102022753270338983883204332222355847204944887001568649782482200505709100346076566562262256857547581570272699931164472608810733630277404497925958551992590990103068075282602653410599763013180795692640622197683998084965727944039820450020079471988220902252507441432478290199375510277785773003360466303946299181906358669250644190139830723435527950070182906854140944109941923386492214933681389173991743719075389105727239644106898438298919235872661843699562258762794892558912250764024047759108759683063093047765363014003747766625469845892773306494769360284954709878112581541882479105608276723527158488859944844240923209336132359072520997523480364807757788008580993419873622930585854625909002229113087276262751626581829589477005881700143333390690238597474449336563549723881518487055294470513147476882783129196726261087543218887418816148780101382940991196876487573887314004694357962740475033611226545380984714772808868753377374348991875448595838359313151302636431023878470035305128315683904869078275531552623341376963749139461777231475159939535123188013713392868267566984598680670589880969124098533735728886951166237915904514027038016369033225412092355007268046761582171790739436672292382619099509214297989949555558479216600094901614774785812130931560046379310569227270653117887910214000796603984442168784329477253089147143041771560805679675821606924781530967534449083708072999261835274717656549716049326478231150465473043252540923118260534301131614075904923355426601472339250224514900393460363293258290830419935327276632594537507319185942775123066568353231085218060579287953659341078355327510031982614009589301213317237247896182328769779805239936934956967810093722294017030337251035500274294646692818815522462266434048474419667897919643822231317451884233604803279431064637688562623488690251473159292167374790105069184792783313078137602604646322764613735311661269962579965147332455632624417465004695428736230244225208743017685796477213447881411989114676291332267856202100136554178260330779635732893309937435507431557417970044627231920749587230887829558286547133893547030616638837986153900559268797381768140493487077480083483114692145511997790079364247903301125490872826192590701064374156120075622105901267406501226567515958346670889490174759969865119811283971208947790937247015457478643875359558723393214005360384128177537877800466122048126571805760680187096509677727619696032690564232987029808454721775485435933145068}
19622  68446746684578555789195860588544830354245233286888809358820923557558696: {254917,372457,431398,666502,901462,1098104,1235367,1449142,1470675,1543897,1568720,1683622,1764810,1882464,2038712,2117772,2293551,2386198,2620102,2708137,2940121,2978744,3087478,3210628,3234495,3351087,3450128,3476518,3518821,3679348,3749797,3865177,3881394,4408582,4615924,4670821,4802735,4997235,5106118,5330384,5338342,5763282,5802358,5879638,5996682,6043717,6111382,6342982,6726277,6728662,6861050,6959878,7113711,7179877,7421878,7498822,7652662,7729558,7858117,8233260,8421337,8782144,8881078,8916635,9034342,9106095,9264118,9340678,9713168,9801500,9879912,10322821,10562783,10699962,10865235,10878121,10927314,11114901,11413112,11589584,11603524,11652517,11761800,11926047,12010198,12203497,12545920,12623295,12738050,12769318,12839751,13038282,13232025,13375462,13409317,13464848,13602502,14114160,14197675,14735542,14842228,14961718,15055104,15089690,15147954,15285660,15303748,15413638,15579397,15714598,15878430,16304704,16840918,16850631,16936992,17010104,17037210,17514982,17565951,17607028,17739382,17890995,18107628,18173024,18337078,18342792,18526324,18975927,19054116,19082758,19083728,19136367,19307737,19800824,19833157,20027271,20060275,20444652,20635641,20643478,20813295,20865862,20878597,21397395,21469194,21556700,21606121,21658424,21680038,21769167,22141587,22200848,22275927,22823888,23081782,23523238,23896191,24072330,24175621,24226167,24316095,24331078,24365727,24473668,24551062,24772495,24975954,25063798,25493977,25502662,25665447,25676874,25677152,25868040,25897177,25915675,25937168,26399557,26524438,26815798,26887084,27000037,27592576,27655924,28297435,28341238,28489897,28703398,28840675,28886796,28982917,29101545,29135631,29179314,29726994,29737463,29865817,29989112,30353797,30451177,30911864,30939862,30941751,31041648,31083622,31098810,31130821,31225315,31308735,31421017,31806937,32350863,32374582,32575321,32875222,33053221,33054195,33172064,33243877,33395984,33737751,33859007,33945382,33956922,34372438,34608810,34685275,34727878,34775847,34921854,35153878,35228377,35257808,35325508,35482223,35516984,35851647,36069157,36533737,36640342,36670324,36916064,36996517,37273321,37318572,37470378,37570482,38008297,38273035,38284095,38374057,38400742,38410120,38647621,38920537,39554821,39665034,39956607,40025235,40282231,40416051,40639462,40836368,40848502,41080537,41335702,41530572,41622330,42482090,42693584,42892887,42930982,43023851,43205151,43211385,43552918,43759942,43769912,43966822,44083695,44140082,44156197,44397152,44684788,44999062,45104617,45709383,45821235,45828335,45890758,45927642,45940914,45959257,46092144,46894468,46916278,46975321,47022608,47325478,47422904,47870182,48030282,48242515,48278038,48370010,48714735,48875984,49241151,49470121,49471079,49903702,49934127,49946796,49975924,50124457,50449395,50531077,50560015,50688890,50693221,50978508,51318598,51442125,51765295,51853662,51962384,51989878,52139557,52324918,52382487,52726438,52750623,52760595,52900434,53043268,53248357,53327017,53350767,53394358,53793464,53812688,53927542,53994118,54003215,54127222,54326758,54353524,54482791,54807877,54871600,54985482,54994002,55039321,55123462,55209791,55388518,55576837,55637834,55646895,55785622,56223795,56277968,56314198,56515064,56565721,56709958,56973478,56996995,57168217,57299858,57377235,57891018,57893782,58013751,58044012,58063321,58326584,58457682,58804887,59021317,59313637,59356688,59724982,59972048,60517647,60539274,60589802,60672018,60688700,60792051,60826668,60830662,60895558,60899727,61039544,61185637,61202384,61219798,61240625,61410495,61729348,61730550,61822297,62118354,62235283,62522857,62731621,62845304,62861747,62941107,63057260,63312714,63579447,63606742,63765721,63970597,64153103,64803858,64862895,65016831,65119321,65143318,65453221,65469050,65504528,65586277,65617407,65716383,65845920,66012735,66416758,66449912,66457588,66480262,66575017,66776274,67225177,67468554,67557382,67736595,67746982,67868137,68163115,68396394,68567077,68669487,68674639,68693221,68852682,68858031,68944438,69007321,69187088,69506137,70033395,70235648,70261222,70322735,70386262,70413584,70672970,70700967,70721751,70725748,70823398,71155621,71468751,71695318,72226117,72252368,72412700,72499675,72626038,72809594,72810757,72826440,72997318,73042597,73048647,73488750,73674217,73692594,73922998,74076660,74240857,74396315,74476678,74538118,74702288,74722342,74756151,74906422,75212902,75297637,75668712,75734821,76534367,76652788,76739302,77147450,77228677,77487995,77489497,77681536,77771542,77835474,77897631,77953222,78114235,78388000,78562860,78716377,78738838,78871130,79015104,79016617,79215282,79264837,79281142,79363621,79461622,79482620,79707097,79755877,79911327,80095321,81270148,81283914,81371557,81488595,81795738,81856940,81929745,81949322,82092118,82245595,82329718,82981798,83159302,83295721,83445944,83749942,83800384,84040074,84174871,84199071,84387282,84435877,84807564,84966121,85127301,85413711,85484197,85687702,86066857,86213158,86556860,86596057,86601935,86781637,86853622,86895240,86921168,86962675,86999610,87074821,87147397,87327577,87391728,87434821,87682537,87897478,88028391,88186500,88244278,88302022,88527194,88571737,88737157,88763398,88891992,88931091,89275578,89304303,89453542,89506117,89576068,89661097,90055621,90081800,90088754,90115237,90141382,90292357,90495721,90618195,90712822,90723817,90883942,91054918,91139077,91168822,91247077,91339558,91647290,91667557,91718821,91793471,91795177,91846703,91907638,92045017,92167237,92192395,92247718,92307704,92523097,92530678,92576940,92674595,92688256,92728837,92735275,92756758,92799584,92985594,93431954,93546022,93592297,93685828,93737082,93876687,93877957,93883318,93939478,93951397,94005721,94065600,94107862,94275432,94433221,94504324,94637737,94645356,94698217,94726415,94821447,94858597,95050117,95063257,95089321,95115142,95153221,95379144,95412997,95550121,95729908,95737321,95762917,95783782,95894998,96013657,96042277,96134617,96152323,96165721,96216517,96229477,96247621,96249839,96250537,96255721,96394678,96540143,96659408,96954231,97032199,97233087,97445302,97597112,97720822,97757145,97786314,97998115,98228328,98315694,98694714,98709382,98748736,98873638,98928358,99391108,99747238,99796468,...,4721020239020629000225169813324339762837133513556575269078821372225451469386843963228821244470480746491710959921799952939665499486160457498066121390371549137052238152952084089897798195391840198211372577091928427290685353082579360093645599408267600285786111365757059723434599016902812583699952151233350364112900208368638428187329740639194166549669309603322913289660079433748928730746213840940474192010139994932914077703059417263644727823465198877304094871129298001995090509001849298898841715809499136150522362069838882452685955315462962537437267837270299399612766980815407222819748218461475435627935242848794106308782428039893048121759834420605963374594267164950387929077257742074154487013638833495953546337492608153034129905508475824806498333533770807417330502352974673723300758563650519114849843393385286321372355409049896746708913216100445416106746888937827988886485154602112923903980115899644519771193538960933296525997127448591916059730675030119207982331353378761162148717435299063265416678659505040699455919448772859538003875966285209746085153291925105274360281211416164912885079738322400522083760987615578613083658590859466160347657448378853808992765549343388144192338838368376146036071638663139524594639571648044521005621649938204768839159959742154040427432064817168872312823718658412415085290737733289917266361384814004198538608781496285220547211636682012871490129810434395878781938863503343669630914394127439872744384215508822550215000086035357896211674004845324585822277730582941705769721215324174693795089391631314828331128224223170152074411486795314731360830971007041536944110712550416839818071477072159213303130066061523487813172893757538969726953954646535817705052957692473525857303617413297328935012065445623709192665847212739909302684782020570089302401350476898021005884821453686147800603593330426749356873856771040557024553549838118138532510902070142373257686109155008438573928649263821446984924333337718824900142352422162178718196397340069568965853840905979676831865321001194905976663253176494215879633720714562657341208519513732410387172296451301673625562109498892752912076484824574073989717346725698209564878811384677390801451697421113857385033139902208508875336772350590190544939887436245629902990914948891806260978778914162684599852529846627827090868931930489011617532991265047973921014383951819975855871844273493154669707859905402435451715140583441025545505876553250411441970039228223283693399651072711629501846879465733346976177826350407204919146596956532843935233035377209738938251062185157603777189174969617206403906969484146920602967491904943869947720998683448936626197507043143104345366337813114526528694715820171822117983672014436998401784303150204831267390496169453599339964906153261147336126955066940847881124380846331744337429820700840320545924958256979230850838903196072652210740230616220125224672038218267996685119046371854951688236309239288886051596561234180113433158851901109751839851273937520006334235262139954797679716925956813421686405870523186217965813039338085089821008040576192266306816700699183072189857708641020280644764516591429544049035846349480544712682082663228153899717602}
19623  68714718947987890305335821903464225159195289701108577123414263829909488: {647097,960841,999753,1352193,1372630,1647156,1783873,1960900,2173713,2353080,2509952,2525433,2548390,2606401,2647215,2823696,3018862,3058068,3176658,3311893,3579297,3723430,3930153,4013285,4312660,4468116,4599185,4631217,4664086,4815942,5175192,5214777,5519022,5604742,5769905,5822091,6246977,6612873,6662980,6923886,7656953,7659177,7684376,7995576,8007513,8499022,8644923,8703537,8819457,8826521,8995023,9167073,9484948,9514473,9651461,9986473,10092993,10140886,10291575,10356233,10439817,10977680,11132817,11248233,11402897,11478993,11594337,11781742,12141460,12251875,12349890,12689897,13053857,13173216,13321617,13551513,13896177,14011017,14138926,14266390,14266616,14486980,14504405,14569752,14702250,14819868,14883841,15261521,15627641,15682400,15779062,15901396,16049943,16390971,16698262,16831060,17021953,17119668,17325721,17384376,17405286,17617253,17642700,18015297,18444137,18552785,18818880,18827302,18951121,19107075,19129685,19153977,19425742,19557423,19970902,20058337,20063193,20073472,20197272,20380880,20403753,21136793,21171240,21262630,22008785,22103313,22263342,22442577,22467508,22582656,22634535,22650337,22695022,22716280,22721931,22928490,22955622,23054638,23120457,23157905,23248517,23421268,23571897,23817645,23854660,24143504,24457056,24751030,25261377,25301236,25405488,25515156,25555815,26119873,26240473,26272473,26410542,26517137,26609073,26703028,26945875,27047881,27073030,27089497,27161442,27259536,27505617,27514188,27632917,27751060,27789486,28529860,28581174,28624137,28625592,28806382,29025556,29221486,29522116,29701236,30034517,30592085,30666978,30850582,30965217,31077361,31092913,31298793,31861588,31899857,31959406,32096440,32166433,32203791,32301556,32335050,32421460,32487636,32520057,32848421,33301272,33608855,33944878,34040422,34220596,34235832,34490720,34569905,34622673,35184097,35284857,35731822,35951401,36108495,36496617,36710502,36826593,36933121,37356886,37463931,37486390,37592398,37595697,38163457,38253993,38263577,38298673,38515311,38515728,38639830,38802060,38847508,38905752,39635992,39786657,40223697,40330626,40532182,40803521,41144782,41208193,41255668,41388864,41465080,41483886,41495041,41744980,42511857,42766486,43055097,43134484,43330194,43768971,43815406,44072260,44156885,44202862,44396230,44590491,44854582,44983668,45275896,45296038,45343301,45467086,45716437,45837905,46145080,46367796,46409793,46562472,46625433,46648215,46763398,46998001,47069281,47086102,47802196,48012650,48475942,48561873,48717253,49243222,49284581,49312833,49450681,49668377,49758096,49960504,50093976,50918073,50931617,50935383,51035761,51045460,51225382,51558657,51913215,51937102,52091817,52382781,52475542,52694638,52730817,52886712,52988262,53275476,53366980,53409601,53552086,53888068,54251782,54435502,54712390,54960513,54989641,55005486,55374096,55496440,55855985,55977858,56202913,56205567,56355723,56948302,57018961,57152453,57190516,57316462,57601113,57606868,57615180,57697237,58010401,58143673,58618085,58660097,58778260,59116361,59278630,59293462,59497551,59542318,60194542,60208777,60538702,60945844,60959193,61094980,61232473,61236856,61254552,61272753,61327913,61456192,61611886,62003553,62179462,62228377,62265137,62295858,62433495,62469905,63220822,63723135,64040376,64334086,64396473,64952980,65329377,65364502,65639913,65654868,65833057,65950233,66028721,66210123,66244897,66304085,66338662,66578836,66595728,66795697,67027182,67241830,67265860,67498593,67941905,67971344,68292502,68589500,68836137,68891463,68911371,69100678,69138216,69355702,69618133,69736942,69843316,69946021,70334164,70341702,70347460,70360966,70374417,70533912,70643830,70988217,71134356,71444398,71805273,72045423,72417057,72555015,72563221,72908230,73015201,73313976,73325336,73939937,74195860,74249713,74642153,74782697,74783561,74844838,74855553,74920194,74963886,74965060,75860875,76033335,76056022,76299430,76388182,76467762,76502980,76600582,76736453,76977897,77161685,77188024,77300033,77302661,77351668,77366278,77392016,77780493,77943576,77984817,78406516,78487377,78550741,78556630,78821575,78944302,79089657,79350651,79564902,79956257,80091537,80690196,80719032,80769241,80891313,80896024,80991177,81056068,81102224,81190833,81199636,81263593,81490137,81530286,81880660,82117297,82307400,82444582,82478223,82491003,82685193,82824472,83062390,83071985,83082777,83456751,83678433,83685766,83921476,84101686,84412822,84416952,84435013,84471297,84576982,84739721,84772596,85064937,85397473,85460217,85949787,86263633,86405144,86483860,86689108,86784517,86836527,86840673,87013462,87066018,87486121,87489876,87621844,87686523,87794560,87914993,88016980,88407185,89035032,89587473,89958072,90199877,90315460,90422566,90515875,90808911,90884703,90937121,91003321,91008027,91033050,91195192,91240002,91245993,91260577,91343337,91423462,91559316,91803576,91810708,91829697,92594022,92595825,93177531,93280213,93377860,93599086,93888577,94084961,94267956,94295668,94585890,94646057,94751137,94969071,95112622,95291353,95291668,95410113,95815985,96424822,96926638,97101920,97205787,97398196,97435157,97641478,97714977,97717846,97909601,97985000,98174737,98203575,98256792,98768880,99158293,99353275,99545617,99625137,99674868,99686382,99720393,99933841,...,7081530358530943500337754719986509644255700270334862903618232058338177204080265944843231866705721119737566439882699929409498249229240686247099182085557323705578357229428126134846697293087760297317058865637892640936028029623869040140468399112401400428679167048635589585151898525354218875549928226850025546169350312552957642280994610958791249824503964404984369934490119150623393096119320761410711288015209992399371116554589125895467091735197798315956142306693947002992635763502773948348262573714248704225783543104758323679028932973194443806155901755905449099419150471223110834229622327692213153441902864273191159463173642059839572182639751630908945061891400747425581893615886613111231730520458250243930319506238912229551194858262713737209747500300656211125995753529462010584951137845475778672274765090077929482058533113574845120063369824150668124160120333406741983329727731903169385855970173849466779656790308441399944788995691172887874089596012545178811973497030068141743223076152948594898125017989257561049183879173159289307005813949427814619127729937887657911540421817124247369327619607483600783125641481423367919625487886289199240521486172568280713489148324015082216288508257552564219054107457994709286891959357472066781508432474907307153258739939613231060641148097225753308469235577987618622627936106599934875899542077221006297807913172244427830820817455023019307235194715651593818172908295255015504446371591191159809116576323263233825322500129053036844317511007267986878733416595874412558654581822986262040692634087446972242496692336334755228111617230192972097041246456510562305416166068825625259727107215608238819954695099092285231719759340636308454590430931969803726557579436538710288785955426119945993402518098168435563788998770819109863954027173030855133953602025715347031508827232180529221700905389995640124035310785156560835536830324757177207798766353105213559886529163732512657860892973895732170477386500006578237350213528633243268077294596010104353448780761358969515247797981501792358964994879764741323819450581071843986011812779270598615580758444676952510438343164248339129368114727236861110984576020088547314347318217077016086202177546131670786077549709853312763313005158525885285817409831154368444854486372423337709391468168371244026899778794769941740636303397895733517426299486897571960881521575927729963783807766410239732004561789858103653177572710875161538318258814829875617162955058842334925540099476609067444252770319198600020464266739525610807378719895434799265902849553065814608407376593277736405665783762454425809605860454226220380904451237857415804921581498025173404939296260564714656518049506719671789793042073730257733176975508021655497602676454725307246901085744254180399009947359229891721004190432600411271821686571269497616506144731051260480818887437385468846276258354794108978316110345924330187837008057327401995027678569557782427532354463858933329077394841851270170149738277851664627759776910906280009501352893209932196519575388935220132529608805784779326948719559007127634731512060864288399460225051048774608284786562961530420967146774887144316073553769524220817069023123994842230849576403}
19624  68983732892996399499141437186554506825620596313754707977362892358478640: {509834,744914,802903,862796,920119,1037263,1333004,1388263,1621903,1802924,2058945,2196208,2451125,2470734,2898284,2941350,3087794,3137440,3249319,3367244,3529620,3711703,3764928,3822585,3827119,4077424,4235544,4518103,4528293,4587102,4764987,4772396,4862623,5240204,5390825,5416274,5585145,5880242,5957488,6174956,6421256,6468990,6702174,6723829,6900256,6953036,6996129,7037642,7223913,7358696,7499594,7730354,7762788,8278533,8328725,8407113,8497183,8817164,8834143,8946319,9231848,9341642,9605470,9617863,9994470,10212236,10385829,10660768,10676684,11174719,11285383,11526564,11604716,11759276,11856185,11993364,12087434,12222764,12483289,12685964,12748533,12827119,13452554,13457324,13722100,13919756,14227422,14359754,14843756,14997644,15176825,15211329,15305324,15437263,15459116,15545119,15716234,16466520,16512583,16842674,17047543,17564288,17672613,17762156,17793463,17833270,18068684,18108725,18212190,18524835,18528236,18681356,19169383,19426336,19603000,19759824,19876745,20428663,20645642,21038825,21125566,21208389,21399585,21399924,21470143,21730470,21756242,21781183,21854628,22053375,22229802,22504423,22826224,23179168,23207048,23305034,23523600,23531503,23668593,23852094,24020396,24406994,24957319,25047393,25058623,25091840,25246590,25476100,25538636,25679502,26067703,26076564,26107929,26464050,26750924,26818634,26869783,26929696,27069583,27205004,28084385,28228320,28240953,28395350,28558903,29138613,29276585,29444719,29471084,29684456,29818325,29923436,29934319,29956353,30110208,30179380,30295908,30571320,30607496,30811063,30827276,31005103,31158794,31429196,31626545,31756860,31874719,31893945,32609408,33311119,33378785,33395013,33681836,33701262,33873984,34020208,34042533,34074420,34392735,34433433,34581957,34681493,34688825,35029964,35131902,35201119,35214056,35478764,35662325,35669119,35781990,36215256,36281945,36346048,36674156,36685584,36902645,37052648,37126545,37431103,37615063,37951854,38108232,38165516,38167456,38272734,38439319,38615474,38894719,39438823,39601648,39615813,39616409,39666314,39800119,39826985,40054542,40120550,40339903,40376945,40526825,40609545,40742163,40889304,41233783,41271282,41286956,41589319,41626590,41684229,41731724,41757194,41943703,42775745,42794790,42871761,42938388,43113400,43209573,43212242,43262383,43316848,43360076,43538334,43715441,43832229,44132503,44283174,44401696,44551854,45021317,45509719,45595183,45647776,46000467,46163564,46275873,46276303,46445863,47046476,47121223,47606273,47624719,47792382,47939109,47958943,48144660,48351242,48452334,48502575,48559385,48632190,48662156,48731454,48947336,49102124,49366543,49544990,49951908,50127596,50917317,50987954,51005324,51060633,51330894,51353748,51354304,51569585,51719719,51736080,51794354,51831350,51874336,52181225,52437703,52596463,52799114,53048876,53582249,53597733,53631596,53774168,53918105,54000074,54168223,54788863,55065753,55090325,55185152,55251319,55311848,56035329,56229585,56388597,56594870,56682476,56774119,56849503,56979794,57150319,57406796,57681350,57773592,57897319,57959745,57965834,57971623,58203090,58271262,58358628,58931023,59453988,59474926,59731634,59752745,59978224,60383263,60495939,60526903,60707594,60741823,60798273,60884743,60902354,61717173,61823728,61879724,61883502,62083296,62167244,62197620,62225829,62261642,62450630,62617470,62842034,63339223,63613874,63806825,63956119,64149729,64159669,64296319,64388753,64701726,64749164,64904143,64995291,65150642,65239303,65723109,65750444,66106442,66108390,66299719,66304293,66344128,66487754,66594345,66708725,66791968,66888103,66953119,67281873,67360085,67475502,67535023,67539521,67663543,67718014,67890764,67913844,67944057,67983583,68200629,68238319,68301823,68555119,68744876,69217620,69370550,69455756,69551694,69557081,69843708,69866023,70145097,70307756,70456754,70479103,70515616,70629153,70651016,70784021,70964446,71033968,71084983,71488145,71703294,71861863,71921119,72008585,72018975,72138314,72471413,72713913,72801319,73067474,73148863,73280684,73340648,73410821,73472825,73550789,73832128,73864833,73892983,73949719,73993034,74546642,74637144,74940756,75140964,75344719,75604501,75890119,75944263,76016594,76182305,76368725,76546070,76568190,76641583,76748114,76801484,76820240,76838073,76959319,77295242,77431063,77841074,77905653,78306223,78458503,78713313,79011319,79041957,79109642,79309183,79330068,79457143,79482393,79506319,79702303,79795793,79913214,80042503,80050470,80328129,80522383,80564462,80664943,80712319,80832102,80995063,81160937,81182119,81191225,81278924,81377673,81653253,81672736,81697004,81827743,82068585,82100119,82161074,82503823,82508229,82671404,83033023,83061144,83223545,83244660,83250463,83637319,83849719,83966787,84018343,84082325,84964180,85126423,85387168,85422453,85444663,85736875,85785774,85835983,85861964,85974693,86047702,86410302,86422770,86597023,87105836,87221263,87304145,87400903,87519884,87539824,87859543,87917705,87933644,87934325,88167390,88204063,88238119,88272103,88280164,88312394,88440943,88794304,88917945,88940193,89033863,89066119,89194423,89313477,89369576,89384719,89510143,89696119,89998124,90209234,90291813,90808053,90841783,91008319,91035823,91306903,91418766,91570783,91642470,91656670,91776703,91781516,91855284,91881828,91918514,91928119,92052319,92184288,92198983,92295319,92319223,92390503,92417829,92646319,92744825,93269193,93443787,93706325,93775783,93788936,93832556,93906823,93950642,94045216,94077797,94175743,94412119,94649719,94650956,94799119,94831233,94845808,95128303,95428361,95502703,95628725,95633743,95740364,95819719,95851543,95993383,96005983,96024343,96036223,96060564,96080863,96086119,96116143,96130183,96152143,96160423,96172303,96190663,96197503,96224719,96273319,96274903,96485030,96501129,96556076,96689585,96740020,97429470,97751968,98008145,98046753,98451829,98482302,98940242,98942158,99479393,99507993,99807404,99868254,99893592,99951848,...,9442040478041258000450339626648679525674267027113150538157642744450902938773687926457642488940961492983421919843599905879330998972320914996132242780743098274104476305904168179795596390783680396422745154183856854581370706165158720187291198816535200571572222731514119446869198033805625167399904302466700728225800416737276856374659481278388333099338619206645826579320158867497857461492427681880948384020279989865828155406118834527289455646930397754608189742258596003990181018003698597797683431618998272301044724139677764905371910630925925074874535674540598799225533961630814445639496436922950871255870485697588212617564856079786096243519668841211926749188534329900775858154515484148308974027277666991907092674985216306068259811016951649612996667067541614834661004705949347446601517127301038229699686786770572642744710818099793493417826432200890832213493777875655977772970309204225847807960231799289039542387077921866593051994254897183832119461350060238415964662706757522324297434870598126530833357319010081398911838897545719076007751932570419492170306583850210548720562422832329825770159476644801044167521975231157226167317181718932320695314896757707617985531098686776288384677676736752292072143277326279049189279143296089042011243299876409537678319919484308080854864129634337744625647437316824830170581475466579834532722769628008397077217562992570441094423273364025742980259620868791757563877727006687339261828788254879745488768431017645100430000172070715792423348009690649171644555461165883411539442430648349387590178783262629656662256448446340304148822973590629462721661942014083073888221425100833679636142954144318426606260132123046975626345787515077939453907909293071635410105915384947051714607234826594657870024130891247418385331694425479818605369564041140178604802700953796042011769642907372295601207186660853498713747713542081114049107099676236277065021804140284746515372218310016877147857298527642893969848666675437649800284704844324357436392794680139137931707681811959353663730642002389811953326506352988431759267441429125314682417039027464820774344592902603347251124218997785505824152969649148147979434693451396419129757622769354781602903394842227714770066279804417017750673544701180381089879774872491259805981829897783612521957557828325369199705059693255654181737863860978023235065982530095947842028767903639951711743688546986309339415719810804870903430281166882051091011753106500822883940078456446567386799302145423259003693758931466693952355652700814409838293193913065687870466070754419477876502124370315207554378349939234412807813938968293841205934983809887739895441997366897873252395014086286208690732675626229053057389431640343644235967344028873996803568606300409662534780992338907198679929812306522294672253910133881695762248761692663488674859641401680641091849916513958461701677806392145304421480461232440250449344076436535993370238092743709903376472618478577772103193122468360226866317703802219503679702547875040012668470524279909595359433851913626843372811741046372435931626078676170179642016081152384532613633401398366144379715417282040561289529033182859088098071692698961089425364165326456307799435204}
19625  69253792540151705211955748420884124714011533850355496206571330909988200: {764751,1078495,1117371,1294194,1666255,1921682,1999506,2253655,2371963,2704386,2745260,3294312,3567746,3622855,3664639,3706101,3921800,4209055,4347426,4412025,4631691,4706160,5019904,5050866,5096780,5212802,5294430,5618599,5647392,5965495,6037724,6116136,6353316,6438859,6550255,6623786,6677803,6880653,7158594,7382791,7446860,7718695,7860306,7967839,8026570,8077867,8124411,8557771,8625320,8691295,8820363,8936232,9198370,9257083,9262434,9328172,9631884,9703485,10053261,10317079,10350384,10429554,10431343,10556463,10786927,11021455,11038044,11209484,11249391,11539810,11595531,11644182,12310159,12493954,12765295,13120063,13225746,13325960,13345855,13476151,13847772,13954123,14012463,14408205,14505895,14699095,14991705,14997151,15263083,15278455,15313906,15318354,15368752,15691423,15857455,15991152,16015026,16821655,16998044,17152625,17289846,17399695,17407074,17466187,17638914,17653042,17831803,17990046,18036343,18131151,18334146,18554695,18747055,18969896,19028946,19131655,19302922,19323895,19343851,19689871,19972946,20178831,20185986,20281772,20306167,20583150,20712466,20879634,20986807,21341133,21539631,21955360,22202695,22257199,22265634,22496466,22585855,22805794,22957986,22959739,23160295,23188674,23351695,23563484,23574351,24239743,24282920,24382591,24503750,24699780,24851863,25264011,25379794,25973899,26107714,26346432,26519851,26643234,26749905,26781559,27103026,27318285,27416023,27792354,28022034,28075003,28277852,28532780,28533232,28973960,29008810,29139504,29351839,29404500,29639736,29767682,30025495,30037591,30523042,30812299,30968463,31255282,31364800,31558124,31688349,31802792,31845125,31894123,31923295,32099886,32105863,32328043,32421067,32595705,32634363,32781942,32851783,33344703,33396524,33438655,33493519,33602239,33662120,33981799,34006255,34043906,34239336,34450783,34651442,34768752,34810572,34957551,35234506,35285400,35472319,35724139,35778141,36030594,36610491,36838855,36888274,36996223,37105570,37404295,37637760,37654604,37699831,37724225,37869885,37902242,38214150,38259370,38307954,38519253,38534095,38691103,38851484,39114846,39286495,39696075,39941804,40116674,40126386,40146944,40227951,40394544,40761760,40807506,40807723,41230783,42076639,42102295,42273586,42342480,42440863,42525260,42593025,42828919,43143979,43375279,43787455,44017570,44206626,44348455,44526684,44885154,44935016,45034363,45165312,45220591,45269070,45300674,45300823,45347959,45390044,45432560,45443862,45842695,45856980,45911244,46005247,46109276,46240914,46315810,46497034,46738191,46842536,47052397,47143794,47566123,47635290,47706895,47709320,48222343,48287008,48397867,48409339,48914112,49502060,49673503,49946119,50347567,50522754,50551893,50602472,50651911,50677807,50810976,51030312,51111630,51357823,51608695,52164655,52239746,52480946,52544946,52697853,52821084,53034274,53218146,53406056,53672985,53891750,54095762,54146060,54178994,54200095,54322884,54519072,55011234,55028376,55082767,55192999,55265834,55502120,55578972,56927781,57059720,57162348,57248274,57251184,57409101,57612764,57704455,57923211,58051112,58442972,58666123,58698991,58808095,59044232,59122447,59402472,59499471,59758303,59776879,60069034,60081813,60180825,60191911,60474367,60827695,61184170,61333956,61377655,61701164,61819639,61906923,61930434,62154722,62185826,62223211,62439885,62597586,62635791,62659495,63046999,63723176,63756655,63799714,63845791,63876271,63918812,64173067,64192185,64192880,64332866,64407582,64603112,64670100,64818363,64842920,64975272,65040114,65094859,65307501,65696842,66071227,66311095,66361903,66424761,66453343,66602544,66827781,67039495,67217710,67889756,67903867,68080844,68441192,68471664,68981440,69139810,69245346,70368194,70569714,70853095,71463644,71688573,71704327,71758495,71902802,72216990,72526863,72678501,72948285,72993234,73097181,73382263,73421004,73542139,73586071,73653186,73866242,74317485,74713772,74791279,74927862,74972780,75184796,75191394,75442447,76326914,76481931,76507986,76527154,76597346,76996341,77030622,77031456,77279660,77307991,77349655,77604120,77691531,77695016,77709055,77747025,77811504,78033943,78198379,78431167,79039243,79198671,79271984,79573314,79964491,80447394,80661252,80679103,80849623,80936455,81000111,81020203,81064364,81522487,81607042,82065319,82188055,82289564,82416386,82511336,82633879,82777728,82930160,82967772,82990082,83489960,83581627,84030487,84748543,84863455,84892305,85023714,85445599,85469691,85532972,85732111,85764271,85931095,86110194,86268968,86522025,86660388,86819695,86948751,87304635,87406893,87457867,87537942,87630812,87884695,88144520,88313770,88379551,88405724,88792460,88807531,89180982,89212389,89597451,89709164,89967336,90209143,90551792,90592076,90686602,90934172,90946603,91061391,91353531,91359103,91432874,91600855,91675810,91859791,91901311,92290160,92457319,92735592,92819586,92825253,92825719,93124944,93250866,93296430,93392463,93526796,93675945,93926205,93996002,94094647,94104523,94138562,94172204,94263051,94308079,94599871,95118667,95408251,95420811,95604392,96001855,96025300,96302239,96951884,97052589,97123746,97434506,97445191,97725963,97919659,98213803,98486444,98569162,98625666,98901362,99159663,99162585,99336754,99394891,99516192,99731631,99739687,99921008,...,14163060717061887000675509439973019288511400540669725807236464116676354408160531889686463733411442239475132879765399858818996498458481372494198364171114647411156714458856252269693394586175520594634117731275785281872056059247738080280936798224802800857358334097271179170303797050708437751099856453700051092338700625105915284561989221917582499649007928809968739868980238301246786192238641522821422576030419984798742233109178251790934183470395596631912284613387894005985271527005547896696525147428497408451567086209516647358057865946388887612311803511810898198838300942446221668459244655384426306883805728546382318926347284119679144365279503261817890123782801494851163787231773226222463461040916500487860639012477824459102389716525427474419495000601312422251991507058924021169902275690951557344549530180155858964117066227149690240126739648301336248320240666813483966659455463806338771711940347698933559313580616882799889577991382345775748179192025090357623946994060136283486446152305897189796250035978515122098367758346318578614011627898855629238255459875775315823080843634248494738655239214967201566251282962846735839250975772578398481042972345136561426978296648030164432577016515105128438108214915989418573783918714944133563016864949814614306517479879226462121282296194451506616938471155975237245255872213199869751799084154442012595615826344488855661641634910046038614470389431303187636345816590510031008892743182382319618233152646526467650645000258106073688635022014535973757466833191748825117309163645972524081385268174893944484993384672669510456223234460385944194082492913021124610832332137651250519454214431216477639909390198184570463439518681272616909180861863939607453115158873077420577571910852239891986805036196336871127577997541638219727908054346061710267907204051430694063017654464361058443401810779991280248070621570313121671073660649514354415597532706210427119773058327465025315721785947791464340954773000013156474700427057266486536154589192020208706897561522717939030495595963003584717929989759529482647638901162143687972023625558541197231161516889353905020876686328496678258736229454473722221969152040177094628694636434154032172404355092263341572155099419706625526626010317051770571634819662308736889708972744846675418782936336742488053799557589539883481272606795791467034852598973795143921763043151855459927567615532820479464009123579716207306355145421750323076636517629659751234325910117684669851080198953218134888505540638397200040928533479051221614757439790869598531805699106131629216814753186555472811331567524908851619211720908452440761808902475714831609843162996050346809878592521129429313036099013439343579586084147460515466353951016043310995205352909450614493802171488508360798019894718459783442008380865200822543643373142538995233012289462102520961637774874770937692552516709588217956632220691848660375674016114654803990055357139115564855064708927717866658154789683702540340299476555703329255519553821812560019002705786419864393039150777870440265059217611569558653897439118014255269463024121728576798920450102097549216569573125923060841934293549774288632147107539048441634138046247989684461699152806}
19626  69524901925409121095359670337779098466884063282656698822445305041211260: {333353,450869,568313,842069,1019668,1310453,1427369,1489828,1605806,1622069,1725592,1840238,1941291,2074526,2666008,2669993,2776526,2882523,2902073,2999259,3056633,3172469,3243806,3431575,3481013,3605848,3750569,3827513,3865973,4056579,4117890,4326869,4392416,4633493,4902250,4941468,5351619,5664569,5796568,5882700,5930933,6120953,6175588,6274880,6370975,6498638,6500393,6521139,6734488,6803369,6916853,7059240,7068053,7423406,7483193,7529856,7547155,7576299,7645170,7654238,7819203,7941645,8047733,8154848,8471088,8498069,8872469,9036206,9056586,9174204,9308575,9320693,9529974,9544792,9725246,9935679,10436213,10480408,10621433,10737891,10781650,10832548,11170290,11654969,11660215,11728553,11760484,11790459,11914976,12039855,12279413,12349912,12389369,12842512,12937980,13404348,13412153,13447658,13739573,13797555,13800512,13893651,13906072,13992258,14011855,14075284,14283833,14447826,14717392,14826293,14999188,15460708,15474869,15525576,15582713,15644331,15762293,16013369,16442873,16550069,16557066,16598659,16657450,16814226,16978133,16994366,17309715,17466273,17634328,17668286,17689013,17892638,18463696,18683284,18740931,18784553,19206569,19210940,19235726,19311893,19838619,19988940,20151893,20424472,20430869,20535353,20771658,20778869,21247555,21321536,21353368,21887093,21990569,22334969,22349438,22570766,22609913,22970859,22977531,23053128,23124053,23209432,23518552,23712370,23772713,23986728,24022539,24146933,24174868,24445528,24966578,25061369,25352215,25371928,25497066,25654238,25667753,25934769,25969973,26110611,26458371,26479563,26905108,26906069,26914648,26985069,27072569,27172373,27444200,27501219,27827443,27839512,28001273,28298453,28454844,28496213,28543419,28562069,28719508,28954383,29054969,29447993,29454355,29687512,29937653,29959419,29970233,29995288,30278979,30353650,30422658,30425513,30610648,30846869,30874526,30874725,30918232,31068699,31090238,31319451,31432468,31878293,31910393,32933040,33025166,33314873,33346613,33398451,33505193,33685348,33744699,33884969,34095086,34208691,34436979,34783011,35128576,35236373,35298869,35345226,35347315,35517353,35524312,35586926,35665975,35666540,35673173,35704313,36077369,36137368,36217450,36424380,36603893,36755625,37049670,37056472,37251113,37362712,37373993,37466069,38069691,38338766,38443733,38852672,38899193,38929493,38990069,39161571,39206000,39318139,39352853,39447655,39519648,39744569,39753490,39964851,39984953,40344569,40654539,40857326,40987219,41291284,41594153,41682869,41688531,41745655,41889593,42033051,42077650,42213653,42251132,42331253,42416778,42799170,42799848,42858869,42940286,43460940,43512484,43513215,43529273,43562366,43709256,43964213,44106750,44166569,44277163,44459604,44651523,44742569,44943413,45008846,45172469,45458069,45543593,45652448,45685973,45784563,46358336,46414096,46610068,46730299,46882923,47047200,47063006,47068255,47070713,47154869,47337186,47704188,48040792,48149829,48214613,48463913,48564355,48813988,48877973,49172913,49235369,49454633,49914638,49927255,50094786,50117246,50136533,50183680,50190869,50493180,50794723,50948213,50952200,51065859,51077272,51359004,51663703,51977163,52135406,52153128,52215858,52682153,52851759,52928100,53156575,53207011,53313833,53501848,53637268,53739566,53859392,53966933,54045891,54139166,54410008,54640853,54821369,55332411,55590569,55658355,55757779,56168770,56261959,56428373,56456640,56481906,56527723,56737555,56790700,56806313,56853363,56931893,57117806,57157433,57182453,57321225,57389055,57461931,57606569,57636595,58277226,58553170,58672269,58889438,58942168,59158133,59368912,59401493,59636650,59740853,59846872,59868638,59886043,59912706,60174869,60175011,60189579,60220416,60358760,60414869,60591816,60773369,61058873,61142640,61201193,61211259,61214992,61622126,61654552,61838069,61877575,61885013,62010206,62317588,62585333,62724533,62858392,63163433,63253090,63410379,63513720,63645173,63749438,63787890,63987113,64032569,64259369,64327253,65218816,65270069,65381369,65868713,66026355,66198773,66308393,66309939,66330293,66439673,66527033,66592469,66622238,66757570,66790026,67091753,67327731,67363672,67402524,67682575,67747968,67903605,67951011,67983139,68040416,68085066,68148840,68165793,68268533,68585273,68785470,68866866,69163914,69361371,69362986,69377650,69473715,69566069,69710633,69745551,69937013,70059928,70182869,70263804,70402238,70428112,70447913,70715691,70752053,70957528,70994069,71154773,71294969,71324650,71338238,71452935,71563980,72015955,72049193,72186869,72197419,72245753,72430512,72563890,72578069,72692096,72714233,72830633,72869369,73004693,73053715,73062569,73120373,73348312,73371168,73805290,73865273,74105296,74148533,74253090,74523413,74821013,74862206,74913593,75230126,75355193,75485347,75737813,75784131,75903708,75954869,76095799,76134869,76216464,76224569,76331032,76334912,76545468,76667445,76878638,76987733,77126455,77230948,77250473,77494073,77546069,77740267,77789438,77856533,78283433,78359619,78721419,78817419,78877646,79039253,79203296,79231626,79232818,79320569,79332628,79551411,79600238,79653970,79730069,79778873,79827219,79898515,80109084,80241100,80406773,80679806,80724053,80739833,80753890,80837625,80959913,81006869,81053650,81143643,81219090,81268491,81287093,81484326,81778608,81809333,81976313,82203823,82307369,82426793,82467566,82516851,82542564,82573912,82604969,82898751,82972469,83178638,83253180,83368458,83449913,83463448,83514388,83653843,83862293,83887406,83946773,84072953,84156713,84364853,84420053,84625913,84862195,84978473,85101055,85551490,85589580,85732469,85743522,85823273,85872411,85876776,86093333,86226800,86309369,86347253,86419146,86424484,86435369,86524766,86622869,86633696,86660153,86720152,86722133,86758243,86808569,86833193,87076668,87234869,87378773,87430882,87592469,87627833,87664458,87710069,88195253,88265006,88454969,88566348,88622069,88699433,88803392,88820213,88983353,89091113,89103708,89329555,89430569,89534969,89710613,89741369,89894069,89964713,90042634,90103551,90223673,90838073,90977333,91019438,91023353,91078313,91190366,91295273,91295552,91322069,91348793,91568693,91715369,91775093,91776255,91825973,91842869,91901753,91926869,92000934,92076053,92214569,92327128,92551746,92552606,92570069,92662133,92737973,92775593,92820473,92891726,92895651,92982569,93040553,93147893,93232083,93278739,93392215,93438869,93625013,93715975,93798569,93830069,93896379,93923369,93980995,93996713,94092952,94163369,94209833,94242446,94261493,94304119,94379513,94483253,94604969,94671893,94682069,94821173,94878869,94935413,94986233,95004473,95031593,95137193,95212546,95225813,95249438,95342393,95437493,95448569,95572469,95582633,95584764,95632373,95654969,95680313,95699571,95726453,95738453,95824373,95878218,95885369,95917471,95917886,95917973,95951573,95985833,96014069,96024569,96054869,96068393,96126869,96150569,96172469,96175253,96216569,96224213,96243893,96257333,96276473,96281513,96286133,96289320,96289493,96290069,96292853,96293033,96294293,96499299,96599575,96611373,96702484,96904668,97005150,97118770,97264380,97324312,97462908,97560171,97894672,98204248,98545263,98733086,99089980,99903816,...,21244591075592830501013264159959528932767100811004588710854696175014531612240797834529695600117163359212699319648099788228494747687722058741297546256671971116735071688284378404540091879263280891951176596913677922808084088871607120421405197337204201286037501145906768755455695576062656626649784680550076638508050937658872926842983832876373749473511893214953109803470357451870179288357962284232133864045629977198113349663767377686401275205593394947868426920081841008977907290508321845044787721142746112677350629314274971037086798919583331418467705267716347298257451413669332502688866983076639460325708592819573478389520926179518716547919254892726835185674202242276745680847659839333695191561374750731790958518716736688653584574788141211629242500901968633377987260588386031754853413536427336016824295270233788446175599340724535360190109472452004372480361000220225949989183195709508157567910521548400338970370925324199834366987073518663622268788037635536435920491090204425229669228458845784694375053967772683147551637519477867921017441848283443857383189813662973734621265451372742107982858822450802349376924444270103758876463658867597721564458517704842140467444972045246648865524772657692657162322373984127860675878072416200344525297424721921459776219818839693181923444291677259925407706733962855867883808319799804627698626231663018893423739516733283492462452365069057921705584146954781454518724885765046513339114773573479427349728969789701475967500387159110532952533021803960636200249787623237675963745468958786122077902262340916727490077009004265684334851690578916291123739369531686916248498206476875779181321646824716459864085297276855695159278021908925363771292795909411179672738309616130866357866278359837980207554294505306691366996312457329591862081519092565401860806077146041094526481696541587665102716169986920372105932355469682506610490974271531623396299059315640679659587491197537973582678921687196511432159500019734712050640585899729804231883788030313060346342284076908545743393944505377076894984639294223971458351743215531958035438337811795846742275334030857531315029492745017388104344181710583332953728060265641943041954651231048258606532638395012358232649129559938289939015475577655857452229493463105334563459117270013128174404505113732080699336384309825221908910193687200552278898460692715882644564727783189891351423299230719196013685369574310959532718132625484614954776444489626851488865176527004776620298429827202332758310957595800061392800218576832422136159686304397797708548659197443825222129779833209216997351287363277428817581362678661142713353713572247414764744494075520214817888781694143969554148520159015369379126221190773199530926524064966492808029364175921740703257232762541197029842077689675163012571297801233815465059713808492849518434193153781442456662312156406538828775064382326934948331037772990563511024171982205985083035708673347282597063391576799987232184525553810510449214833554993883279330732718840028504058679629796589558726166805660397588826417354337980846158677021382904194536182592865198380675153146323824854359688884591262901440324661432948220661308572662451207069371984526692548729209}
19627  69797065100190278484438310810083203255431998994840326214066956160984492: {1274585,1509893,1529502,1862285,2156990,2234742,2332757,2408709,2588388,2760357,2803229,3111789,3155117,3332510,3843364,3999012,4095773,4164789,4330937,4507310,4743926,4865709,5071997,5408772,5490520,5892677,6176835,6588624,7135492,7245710,7329278,7353375,7412202,7719485,7843600,7891949,8351693,8418110,8694852,8824050,9170357,9263382,9412320,9416537,9747957,10039808,10101732,10193560,10425604,10588860,10806173,10940189,11135109,11237198,11294784,11467755,11481357,11530853,11930990,12075448,12167813,12232272,12706632,12877718,13100510,13247572,13355606,13540685,13554309,13584879,13758413,13761306,14294961,14317188,14587869,14700605,14765582,14893720,15430037,15437390,15505529,15693029,15720612,15935678,16053140,16155734,16172475,16248822,16755435,17115542,17250640,17382590,17594105,17640726,17871413,17872464,18038189,18396740,18514166,18524868,18544409,18656344,18684197,18748985,19263768,19325885,19406970,20106522,20171487,20308253,20578733,20634158,20700768,20859108,20862686,20988387,21073949,21112926,21389837,21573854,21671739,22042910,22076088,22200437,22259477,22418968,22434173,22498782,23079620,23191062,23288364,23354105,23388893,23550317,24013675,24359573,24620318,24835599,24875693,24986175,24987908,25221339,25491549,25530590,25976573,26064149,26230133,26240126,26245877,26451492,26502429,26651920,26691710,26768057,26784317,26838957,26952302,27053453,27134237,27226133,27418829,27695544,27908246,28024926,28646969,28816410,28853589,29011790,29398190,29780333,29983410,29994302,30218585,30526166,30556910,30627812,30636708,30737504,31083773,31157487,31382846,31620197,31714910,31982304,32030052,32109149,32424413,32692373,32792549,33179549,33524157,33631385,33643310,33856149,33985277,33996088,34156757,34305250,34454309,34579692,34688537,34799390,34814148,34932374,35277828,35306084,35568555,35663606,35899385,35980092,36072686,36131309,36135353,36262302,36668292,37109390,37433933,37449867,37494110,37939792,37948733,38057892,38205869,38245599,38263310,38481357,38605844,38647790,38687702,39290585,39379742,39645533,39711737,39945892,40357662,40371972,40563544,40612334,41166300,41235029,41424932,41759268,41973614,42035693,42063797,42106685,42219437,42503813,42636173,42682266,43079262,43520117,43722809,43910720,44405390,44511149,44514398,44531268,44583175,44692613,44992932,45171710,45530475,45611588,45633987,45725849,45915972,45919478,46009973,46197869,46311789,46320590,46377348,46635357,46703390,46814117,47126968,47148702,47608757,48227309,48478253,48479486,48565840,48727289,48765182,48835853,49007500,49399560,49537749,49703726,49726937,50528022,50683013,50759588,51142629,51417629,51574397,51614105,51947798,52215428,52366013,52692864,52813915,53017839,53039702,53222429,53286468,53380389,53499810,53563118,53819813,53887637,53947733,54206052,54326175,54390605,54636570,54832046,54856313,55001093,55574505,55584708,55822133,56044068,56150006,56214509,56555704,56892317,57065560,57066464,57211037,57508149,57947920,58017620,58262585,58279008,58703678,58705049,58809000,58943213,59279472,59535364,59630235,59783033,59905997,60050990,60075182,60183629,60695609,61017485,61046084,61285989,61302437,61604729,61624598,61686293,61936926,62087837,62510564,62729600,63116248,63116475,63183173,63376698,63605584,63625167,63690250,63707177,63788246,63846590,64179773,64198755,64199772,64211726,64216793,64410429,64645013,64656086,64842134,65191410,65206493,65268726,65343549,65563884,65703566,66078029,66160125,66689406,66789653,66793048,66809453,66877310,66928517,66987038,67046585,67204478,67324240,67513269,67963598,68012510,68087812,68248949,68478672,68901566,69269357,69302884,69537504,69599069,69621144,69915102,70205693,70223117,70464293,70469012,70570800,70594509,70623449,70944638,70988375,71005779,71448278,71556282,71711693,72061188,72252173,72407213,72830393,72884309,73030517,73220982,73496117,73677710,73776548,73966013,73992446,74211140,74808590,74871957,75142179,75175869,75275520,75309208,75399662,75448450,75449369,75450233,75739770,75804484,75880133,76428300,76518740,76615908,76649453,77038506,77068190,77087453,77133197,77382206,77507753,77702968,77708213,77896985,78203109,78229692,78323787,78535769,78572990,79392150,79883608,80199053,80233348,80252772,80293888,80455902,80609349,80786237,80789088,80857949,81208749,81433337,81523520,81615012,81615446,82276709,82331333,82461566,83590253,83840213,83929373,84153278,84204590,84253155,84318029,84547172,84614669,84684960,84722859,84881726,85050520,85158413,85158773,85186050,85657838,85676709,85928717,86287958,86412293,86750558,86913437,87042713,87415839,87574910,87723293,87829755,88035140,88334157,88413252,88514873,88696910,88822997,89053368,89259317,89454975,89613677,89770308,89802957,89825693,89869059,89870032,90068726,90330624,90441182,90538140,90601348,90601646,90695918,90780088,90838229,90865120,90887724,91039097,91368629,91456637,91685390,91713960,91822488,92010494,92218552,92433189,92481828,92631620,92709173,92835533,92994068,93015309,93476382,93685072,93855293,94104794,94287588,94288157,94609589,94879635,95132246,95270580,95413790,95418640,95624157,95681835,95751149,96444686,96538685,96574016,96795734,96818678,97828224,98194949,98642429,99004120,99165785,99194333,99347006,99405149,99749933,99892238,99933357,...,28326121434123774001351018879946038577022801081339451614472928233352708816321063779372927466822884478950265759530799717637992996916962744988396728342229294822313428917712504539386789172351041189268235462551570563744112118495476160561873596449605601714716668194542358340607594101416875502199712907400102184677401250211830569123978443835164999298015857619937479737960476602493572384477283045642845152060839969597484466218356503581868366940791193263824569226775788011970543054011095793393050294856994816903134172419033294716115731892777775224623607023621796397676601884892443336918489310768852613767611457092764637852694568239358288730559006523635780247565602989702327574463546452444926922081833000975721278024955648918204779433050854948838990001202624844503983014117848042339804551381903114689099060360311717928234132454299380480253479296602672496640481333626967933318910927612677543423880695397867118627161233765599779155982764691551496358384050180715247893988120272566972892304611794379592500071957030244196735516692637157228023255797711258476510919751550631646161687268496989477310478429934403132502565925693471678501951545156796962085944690273122853956593296060328865154033030210256876216429831978837147567837429888267126033729899629228613034959758452924242564592388903013233876942311950474490511744426399739503598168308884025191231652688977711323283269820092077228940778862606375272691633181020062017785486364764639236466305293052935301290000516212147377270044029071947514933666383497650234618327291945048162770536349787888969986769345339020912446468920771888388164985826042249221664664275302501038908428862432955279818780396369140926879037362545233818361723727879214906230317746154841155143821704479783973610072392673742255155995083276439455816108692123420535814408102861388126035308928722116886803621559982560496141243140626243342147321299028708831195065412420854239546116654930050631443571895582928681909546000026312949400854114532973072309178384040417413795123045435878060991191926007169435859979519058965295277802324287375944047251117082394462323033778707810041753372656993356517472458908947444443938304080354189257389272868308064344808710184526683144310198839413251053252020634103541143269639324617473779417945489693350837565872673484976107599115179079766962545213591582934069705197947590287843526086303710919855135231065640958928018247159432414612710290843500646153273035259319502468651820235369339702160397906436269777011081276794400081857066958102443229514879581739197063611398212263258433629506373110945622663135049817703238423441816904881523617804951429663219686325992100693619757185042258858626072198026878687159172168294921030932707902032086621990410705818901228987604342977016721596039789436919566884016761730401645087286746285077990466024578924205041923275549749541875385105033419176435913264441383697320751348032229309607980110714278231129710129417855435733316309579367405080680598953111406658511039107643625120038005411572839728786078301555740880530118435223139117307794878236028510538926048243457153597840900204195098433139146251846121683868587099548577264294215078096883268276092495979368923398305612}
19628  70070286131441973752713621635996326622392240270368665650449081706119878: {372571,607507,666706,901738,1136626,1684138,1894507,2039336,2294253,2476627,2620906,2708971,2854738,2941027,2979656,3056947,3211612,3235485,3244138,3352113,3451184,3519907,3680476,3866371,3882582,4096987,4149052,4672267,4804205,4998765,5332016,5339986,5553052,5765046,5804146,5998518,6113266,6344938,6487612,6760965,6863150,6962026,7115889,7211696,7295371,7501138,7634707,7655026,7731946,7860571,8086147,8113158,8235780,8653738,8784832,8919365,9266986,9321667,9804500,9882936,10326067,10437307,10566017,10703238,10868565,10992427,10993917,11118303,11329138,11593136,11765400,11766571,11861866,12241906,12351176,12549760,12627165,12741950,12997276,13000786,13032005,13042278,13236075,13413571,13468976,13606738,13833706,13895073,14118480,14136106,14502571,14846812,14966386,15059712,15094310,15152598,15290340,15308476,15638406,15883290,16095466,16309696,16324301,16559465,16855797,16942176,16996138,17513467,17744938,17896485,18045187,18072412,18113172,18348408,18469267,18617150,18641386,19059948,19089584,19316577,19450492,19616597,19650765,19871358,20033409,20066425,20154067,20641959,20872426,20960816,21242866,21475782,21563300,21613147,21665096,22130827,22148373,22340580,22646707,22955371,22995925,23156085,23309938,23320430,23457106,23520968,23580918,23829952,23903517,24079710,24183547,24233601,24285427,24373233,24558826,24699824,24778738,25502371,25673313,25685024,25875960,26006371,26073885,26307907,26461089,26508571,26808696,26824306,26895316,27479146,27595110,27601024,27706507,27771249,27787302,27812144,27984516,28023710,28150568,28301587,28499371,28567666,28849525,28895652,29110455,29434784,29652586,29746577,29777947,29973571,29998376,30159783,30461371,30921416,30949738,30951237,31051152,31165426,31234885,31238107,31288662,31294029,31524586,31669389,31721227,31913971,32026738,32106427,32360781,32885746,33064365,33100138,33114132,33159787,33197318,33314900,33350371,33628452,33748173,33956266,33988732,34619430,34786593,34932546,35268656,35336572,35378026,35493101,35708371,35785276,36638971,36927392,36930477,37286107,37366568,37378267,37481862,37569106,37746187,38021371,38284765,38295885,38413138,38421880,38471452,38623786,38933971,39115627,39360189,39387571,39658867,39677238,39977880,40019587,40037565,40303786,40428453,40848944,40861738,40916347,41070706,41183971,41236097,41543316,41557738,41862369,41894467,42037389,42495110,42643072,42706736,43126747,43224615,43517685,43563427,43774186,43981138,44097285,44132605,44517787,44669938,44698876,44948707,44975115,44991453,45141532,45219826,45789249,45805147,45835365,45941718,45955062,46106256,46248106,46400371,46418864,47037104,47074269,47076307,47424740,47545426,47572365,47973456,48045078,48257305,48293866,48331267,48349736,48891056,49486241,49487947,49932365,49933156,50122738,50464965,50704430,50711587,50743856,50792587,50994132,51308476,51335506,51357571,51457875,51781165,51869538,51939946,52199085,52221222,52317907,52398561,52794187,52916742,52959126,53346571,53495409,53810216,53812138,53829296,53970138,54109029,54145138,54344746,54393453,54499489,54673387,54888400,55002438,55226717,55654886,55664085,55679024,56002546,56241165,56596906,56662387,56909688,56964067,56992426,57014485,57086838,57124138,57189571,57339547,57394965,57439016,57908766,57971685,58031553,58109938,58159267,58443917,58823467,58895986,58908710,59043571,59069613,59263027,59375024,59408971,59772571,59875306,59918838,59940466,59990576,60536493,60557958,60707300,60845316,60851026,60918501,61208971,61221296,61259375,61693738,61749052,61749450,61836464,62127187,62137398,62180476,62254357,62638902,62755747,62825227,62864936,62881013,62960421,63449485,63756586,63820786,64023399,64538827,64618893,64808827,65269285,65866080,65877307,65895557,66050332,66338971,66535747,66608085,66629746,66693226,66771597,66796902,67010386,67370696,67445467,67489398,67757565,67769938,67990097,68150347,68190172,68417382,68695693,68783587,68873958,68879217,69097507,69480885,69566022,69898157,70055085,70257152,70472746,70597738,70690452,70694630,70723053,70761571,71034706,71048624,71173852,71184427,71331950,71333080,71346346,71408626,71484307,71782387,72154738,72274736,72434900,72522025,72719229,72848760,73130371,73147773,73207786,73511250,73875427,74099340,74112944,74419205,74502226,74555589,74719987,74725424,74747986,74831371,74932138,74997907,75108571,75274027,75766507,75792033,76139382,76307605,76360507,76677532,76887466,76892947,77103907,77522371,77705344,77798386,77858986,77884747,77921697,77980138,78138205,78192547,78323142,78412000,78636278,78705706,78895310,79039296,79432577,79489138,79506980,79559553,79790371,79929702,79969906,80249715,80344677,80370547,80513971,80689138,80691233,80751571,81309078,81714652,81954855,81974438,82048867,82248069,82453867,82582568,82897027,83188306,83332987,83365738,83376187,83377062,83462371,83491310,83591107,83779186,83973427,84066102,84155300,84200677,84225009,84225067,84391387,84427306,84502264,84515371,84662506,84833556,85004827,85109765,85125571,85205707,85523371,85598340,85599696,85717738,85880572,86106571,86373187,86628605,86673571,86921880,87024968,87026430,87058546,87124732,87404371,87418512,87653347,87863947,87928426,88055517,88086265,88213500,88333138,88345267,88547227,88554326,88613971,88919208,89303046,89360827,89485138,89518147,89580571,89673667,89886826,90017692,90076485,90112773,90248227,90344938,90568987,90916138,91087186,91304896,91371946,91372867,91505347,91569126,91713571,91790467,91874861,92017267,92213971,92220685,92436897,92716672,92753827,92763925,92828192,92843827,92905389,93063787,93220136,93380227,93460598,93582187,93680467,93765846,94055587,94073587,94094400,94109371,94126012,94136510,94141426,94249627,94283971,94309738,94401907,94500187,94674372,94755605,94794307,94938667,95048971,95065047,95115571,95154667,95205787,95363971,95408376,95535375,95552467,95603947,95648425,95653627,95682369,95769885,95842627,95875027,95936371,96081584,96181801,96276571,96291187,96296371,96299658,96300907,96305947,96312571,96314587,96317589,96429226,96927826,96984129,97128710,97263201,97627976,97755946,97787115,97903089,98345826,98470738,98555349,98909266,99829276,99854510,...,42489182151185661002026528319919057865534201622009177421709392350029063224481595669059391200234326718425398639296199576456989495375444117482595092513343942233470143376568756809080183758526561783902353193827355845616168177743214240842810394674408402572075002291813537510911391152125313253299569361100153277016101875317745853685967665752747498947023786429906219606940714903740358576715924568464267728091259954396226699327534755372802550411186789895736853840163682017955814581016643690089575442285492225354701258628549942074173597839166662836935410535432694596514902827338665005377733966153278920651417185639146956779041852359037433095838509785453670371348404484553491361695319678667390383122749501463581917037433473377307169149576282423258485001803937266755974521176772063509706827072854672033648590540467576892351198681449070720380218944904008744960722000440451899978366391419016315135821043096800677940741850648399668733974147037327244537576075271072871840982180408850459338456917691569388750107935545366295103275038955735842034883696566887714766379627325947469242530902745484215965717644901604698753848888540207517752927317735195443128917035409684280934889944090493297731049545315385314324644747968255721351756144832400689050594849443842919552439637679386363846888583354519850815413467925711735767616639599609255397252463326037786847479033466566984924904730138115843411168293909562909037449771530093026678229547146958854699457939579402951935000774318221065905066043607921272400499575246475351927490937917572244155804524681833454980154018008531368669703381157832582247478739063373832496996412953751558362643293649432919728170594553711390318556043817850727542585591818822359345476619232261732715732556719675960415108589010613382733992624914659183724163038185130803721612154292082189052963393083175330205432339973840744211864710939365013220981948543063246792598118631281359319174982395075947165357843374393022864319000039469424101281171799459608463767576060626120692684568153817091486787889010754153789969278588447942916703486431063916070876675623591693484550668061715062630058985490034776208688363421166665907456120531283886083909302462096517213065276790024716465298259119876579878030951155311714904458986926210669126918234540026256348809010227464161398672768619650443817820387374401104557796921385431765289129455566379782702846598461438392027370739148621919065436265250969229909552888979253702977730353054009553240596859654404665516621915191600122785600437153664844272319372608795595417097318394887650444259559666418433994702574726554857635162725357322285426707427144494829529488988151040429635777563388287939108297040318030738758252442381546399061853048129932985616058728351843481406514465525082394059684155379350326025142595602467630930119427616985699036868386307562884913324624312813077657550128764653869896662075545981127022048343964411970166071417346694565194126783153599974464369051107621020898429667109987766558661465437680057008117359259593179117452333611320795177652834708675961692317354042765808389072365185730396761350306292647649708719377769182525802880649322865896441322617145324902414138743969053385097458418}
19629  70344569101695237979512668696385823431446771884384578346486707359020319: {1000059,1352607,1704939,1784419,2526207,2549170,2607199,3019786,3059004,3312907,3724570,3931359,4014515,4282107,4313980,4469484,4600595,4665514,4817418,4840459,4866207,5176776,5186315,5520714,5606458,5823873,6223578,6310234,6665020,6941315,7686728,7998024,8009979,8109515,8191546,8329578,8647569,8661874,8706219,8829227,8997777,9014620,9169899,9487852,9517407,9654419,9731418,10118207,10143994,10294725,10359407,10443039,10807279,10817544,10981040,11251707,11482539,11597919,11785354,12169737,12255625,12353670,12693791,12980607,13057859,13177248,13640987,13900479,14270984,14491420,14658556,14706750,14824404,15438970,15687200,15783898,16054857,16246595,16459211,16703386,16836220,16993707,17389704,17622659,17648100,17792799,18340714,18362859,18526764,18546307,18558515,18824640,18833074,18956959,19112925,19135595,19495914,19501179,19563417,19611659,20079616,20203464,20387120,20410107,20580847,20750559,20851208,21143279,21177720,21204159,21612346,21880378,22270218,22449579,22474396,22589568,22590515,22641465,22728897,22935510,22962714,23061706,23255651,23457609,23585987,23824935,23835107,23861980,24143199,24150896,24313115,24335626,24464544,24631747,24878239,25413264,25494207,25755436,26201020,26248579,26495144,26617407,26650739,26711212,26954125,27056239,27081370,27108618,27169758,27516826,27522612,27641419,27925725,27962079,28589922,28634376,29175738,29316031,29401210,29531164,29787440,29807037,30860074,30874780,31011058,31308639,31386058,31441224,31864299,31871356,31909691,32106280,32176339,32213673,32311468,32344950,32497644,32695747,33434651,33510870,33619145,34231084,34501280,34765180,34964907,34980645,35185659,35188210,35194939,35281452,35371377,35742826,35744928,36076378,36119565,36135007,36793480,36838239,37028332,37049736,37088818,37168107,37312688,37368394,37497970,37655507,38175199,38527536,38651770,38813940,40213044,40236459,40342974,40386571,40565887,40616506,40816127,41157466,41218719,41268316,41392665,41401536,41643625,41680953,41718216,41725372,41976774,42035565,42085307,42147898,42225852,42306019,42485915,42779674,42851499,43147708,43343478,44081467,44085820,44152176,44170715,44400874,44478879,44518954,44731595,44837936,44868346,44997564,46159240,46382124,46424607,46576728,46708210,46748139,46777786,46932993,47012479,47083939,47100634,47286879,48027350,48040107,48089315,48419327,48719146,48732307,49240636,49299779,49328619,49650207,49671198,49751386,49795977,49972350,49975816,50231779,50259139,50442678,50934399,50947391,50983098,51061180,51422911,51929145,51953146,52128298,52398819,52460266,52480252,52491754,52902984,53004858,53067039,53303840,53383420,53536114,53568634,53677914,53904604,54106906,54268474,54452266,54837658,55006819,55391088,55816492,55873595,56049852,56222793,56353659,56426915,57293938,57619707,57632820,57707178,57715099,57935679,58023580,58639507,58796380,58949359,59134619,59280925,59515857,59560666,59966820,59988604,60227359,60437170,60455679,61052332,61113820,61255624,61273416,61292607,61346819,61475008,61606059,62167546,62314974,62336607,62416445,62765692,63059987,63240394,63429820,63742665,63964608,64060104,64135595,64218298,64848826,65384746,65585098,65661279,65853331,65971707,66265279,66359098,66679139,66816331,67004907,67048314,67262770,67286620,67302587,67712298,67829739,67970554,67992176,68313514,68610500,68908618,68912577,68932593,69159384,69372159,69377074,69598780,69628296,69864748,70555656,70612168,71126107,71137110,71202139,71318139,71327212,71798770,71960184,72067617,72145372,72259747,72262618,72270706,72440799,72524604,72585547,73336584,73939481,73962731,74218780,74272579,74867866,74899734,74988220,75184107,75879584,75884125,75897466,76053791,76056645,76115784,76146847,76411738,76491198,76526620,76657327,76760219,76962714,77003259,77062219,77186315,77211688,77295580,77323907,77326499,77375404,77725595,77804307,77909919,78331833,78574939,78581170,78712499,78759484,79291066,79375113,79423474,79438689,79700587,79891784,79980959,80715324,80718207,80743944,80955207,81127088,81217707,81224668,81288619,81517119,81567619,82142719,82332600,82470058,82503657,82562915,82849864,83482329,83518536,83947228,84003819,84071386,84127594,84213370,84326731,84438874,84895359,85007626,85237715,85272346,85364532,85424479,85488639,85630257,85686207,86158524,86290207,86863149,87040234,87164907,87414379,87445618,87821440,88343979,88363065,88810780,88967315,89022298,89028796,89062536,89166350,89385226,89812959,89878257,89910699,89985864,90343420,90543625,90836937,91031407,91060950,91223176,91267974,91276539,91288699,91451698,91831944,91836979,91838956,92019946,92395738,92540607,92623578,92624175,92641180,92754696,93206097,93270714,93406780,93628234,93865219,93917491,93958353,94114019,94253936,94297404,94619347,94780699,95217514,95320699,95634879,95731179,95846915,96227939,96454618,96956506,96958972,97131680,97145147,97454578,97465259,97530364,97671706,98015000,98799120,99075498,99189259,99383725,99407452,99453874,99944619,...,63733773226778491503039792479878586798301302433013766132564088525043594836722393503589086800351490077638097958944299364685484243063166176223892638770015913350205215064853135213620275637789842675853529790741033768424252266614821361264215592011612603858112503437720306266367086728187969879949354041650229915524152812976618780528951498629121248420535679644859329410411072355610537865073886852696401592136889931594340048991302133059203825616780184843605280760245523026933721871524965535134363163428238338032051887942824913111260396758749994255403115803149041894772354241007997508066600949229918380977125778458720435168562778538556149643757764678180505557022606726830237042542979518001085574684124252195372875556150210065960753724364423634887727502705905900133961781765158095264560240609282008050472885810701365338526798022173606080570328417356013117441083000660677849967549587128524472703731564645201016911112775972599503100961220555990866806364112906609307761473270613275689007685376537354083125161903318049442654912558433603763052325544850331572149569440988921203863796354118226323948576467352407048130773332810311276629390976602793164693375553114526421402334916135739946596574317973077971486967121952383582027634217248601033575892274165764379328659456519079545770332875031779776223120201888567603651424959399413883095878694989056680271218550199850477387357095207173765116752440864344363556174657295139540017344320720438282049186909369104427902501161477331598857599065411881908600749362869713027891236406876358366233706787022750182470231027012797053004555071736748873371218108595060748745494619430627337543964940474149379592255891830567085477834065726776091313878387728233539018214928848392599073598835079513940622662883515920074100988937371988775586244557277696205582418231438123283579445089624762995308148509960761116317797066409047519831472922814594870188897177946922038978762473592613920748036765061589534296478500059204136151921757699189412695651364090939181039026852230725637230181833516131230684953917882671914375055229646595874106315013435387540226826002092572593945088478235052164313032545131749998861184180796925829125863953693144775819597915185037074697947388679814869817046426732967572356688480389316003690377351810039384523213515341196242098009152929475665726730581061601656836695382078147647933694183349569674054269897692157588041056108722932878598154397876453844864329333468880554466595529581014329860895289481606998274932872787400184178400655730497266408479058913193393125645977592331475666389339499627650992053862089832286452744088035983428140061140716742244294233482226560644453666345082431908662445560477046108137378663572319598592779572194899478424088092527765222109771698287623591089526233069025489037713893403701446395179141425478548555302579461344327369986936469219616486325193146980804844993113318971690533072515946617955249107126020041847791190174730399961696553576661431531347644500664981649837992198156520085512176038889389768676178500416981192766479252063013942538476031064148712583608547778595595142025459438971474563079066653773788704320973984298844661983925717987353621208115953580077646187627}
19630  70619918109124629763634771861000941559171651451307889459371721159719612: {745142,920401,1037581,1154689,1215014,1333412,1388689,1739149,1803476,2273252,3250321,3366061,3368276,3789014,3823755,3828301,4078672,4404481,4529679,4588506,4634449,4864129,4953254,4978861,5241812,5392475,5417942,5586855,5709476,5882054,5959312,6008209,6113894,6423224,6470970,6488276,6704226,6725887,6902368,6998271,7039814,7226127,7360952,7732742,7765164,8049409,8193974,8281071,8298104,8331275,8409687,8612269,8949121,9335367,9344534,9397249,9465351,9608410,9732589,9997530,10623661,10664032,10679972,11106104,11268275,11288941,11399569,11530092,11608292,11731021,11859815,11997036,12226532,12287319,12487111,12494367,12689876,12940801,12975224,12992811,13521930,13597009,13726300,13924052,14231778,14359309,14423392,14590742,14597127,15002276,15215991,15269414,15310052,15463892,15550081,15721142,16088461,16172294,16226316,16471560,16517869,16625041,17053009,17307476,17373229,17569664,17678031,17838730,18114275,18244807,18323195,18530505,18533972,18643334,18859021,19609000,19765872,20226049,20539789,20652134,20874614,21045275,21132034,21406476,21737130,21891841,21984854,21987834,22060125,22236606,22408621,22614829,22658276,23129089,23158455,23183251,23186272,23436781,23530800,23533142,23641549,23675847,23723732,23846029,24152209,24483812,24702352,24864109,25055079,25066861,25099520,25254330,25483900,25994552,26001572,26064010,26083607,26084556,26176849,26472150,26827142,26878669,26937952,26978641,27178369,27213476,27377809,27511071,27667412,27790146,28073581,28092995,28236960,28249611,28272212,28370689,28568401,29005142,29243871,29693624,29827475,29932772,30119424,30188620,30305196,30580680,30616952,30626989,30821389,31276812,31766580,32190932,32194295,32418519,32462161,32619392,32648602,32751275,32820567,32845201,33118930,33389015,33405327,33702829,33711594,33884352,33992276,34403265,34444071,34460269,34592559,34837261,35026934,35306881,35489876,35792970,36090374,36144824,36226344,36503439,36696816,36913955,36938534,36982609,37234300,37282772,37443949,37627981,38119896,38179168,38543821,38593475,38633154,38900984,38908141,38999041,39233194,39301530,39742716,39813901,39839195,39994189,40066818,40132850,40308134,40389335,40443649,40622055,40662927,40754637,41275239,41283918,41337169,41692561,41744852,41921632,41958349,42046801,42485732,42788855,42884883,42951564,43126600,43226294,43277569,43330192,43456475,43728839,43763607,44101815,44261654,44296746,44407789,44681160,45293414,45525841,45611341,45696769,45910742,45991850,46122829,46285415,46290111,46292749,46312170,46516587,46619876,46640860,46914212,47041936,47079087,47138029,47161836,47390209,47659904,47725441,47807034,48159420,48367094,48467202,48517425,48570854,48746466,48889681,49054849,49117652,49302061,49399648,49466509,49557476,49876369,50039809,50202961,50266305,51004742,51014401,51346626,51370048,51585395,51738541,51751920,52012742,52147770,52156715,52615681,52615814,52694989,52782315,52922178,53017142,53598671,53614239,53617392,53648612,53790632,53934635,54114567,54266029,54958292,55107275,55190220,55202048,55271761,55348621,55413014,55542498,55574604,55624288,55633227,55969032,56047420,56052591,56246955,56301136,56341249,56603174,56795281,56870701,56946049,56998742,57135332,57171661,57699050,57791304,57977655,57993361,58220910,58437889,58585489,58869568,59305172,59493154,59555894,59947142,59996752,60319566,60406189,60514461,60549901,60907921,60922742,60924759,61121869,61550795,61736199,61785647,61842832,61899476,61900801,61902474,62102304,62330852,62391949,62469770,62476214,62531629,62577324,62588058,62965161,63049172,63087469,63221847,63338778,63432529,63442454,63826475,63827942,64049101,64053476,64169511,64212854,64321261,64408487,64721562,64996621,65015217,65130829,65398381,65598289,65600315,65771492,66128730,66200276,66228264,66319574,66394636,66601311,66629800,66700742,66729275,66778431,66979501,67256904,67302519,67380755,67496346,67560227,67626061,67882669,67912532,67977464,68010541,68328961,68582401,69238860,69573186,69578399,69770615,69865092,69894061,69905311,69955729,70062315,70078849,70166679,70507501,70537312,70650951,70673144,70690129,70756052,70986202,71053441,71173969,71354221,71416742,71570552,71891089,71950381,72041025,72068749,72480769,72493631,72529475,72889261,73078719,73178881,73236589,73277942,73433327,73495475,73524049,73573331,73854784,73860954,73923469,73980241,74506797,74572214,74627079,74733136,74756534,74958525,74963724,74985755,75138212,75492374,75595309,75664017,75976081,76030189,76042742,76315415,76392275,76474647,76569530,76591770,76673869,76727041,76826276,76843760,76942904,77247572,77463889,77515981,77867942,77929719,78192447,78231254,78339661,78457115,78690399,78720378,78737631,78775142,79287275,79317734,79354476,79507287,79540621,79820279,79955760,80039174,80075130,80222029,80304171,80352951,80516871,80605069,80607572,80747521,80842129,80856906,81160359,81185819,81310849,81402711,81634669,81678399,81697888,81723476,81832694,81863809,82141412,82181581,82256487,82367942,82472194,82762369,82850641,83070061,83086632,83115476,83717521,83724738,83788934,83971969,84074778,84098221,84108275,84596749,84990220,85286144,85413472,85483789,85763125,85875469,85940907,86253494,86449230,86560767,86562349,86749009,86860141,86998475,87035370,87126854,87330935,87548372,87619367,87935821,87962276,88177489,88194570,88245889,88265210,88279981,88314001,88516609,88829279,88979281,89035574,89108881,89159015,89237329,89339876,89340999,89397752,89459341,89646829,89770381,89897414,89923201,89950230,89982906,90044161,90181715,90253069,90283064,90439652,90655755,90660301,90886669,90914641,91053421,91080961,91108429,91244689,91376999,91379149,91578498,91610294,91616641,91642669,91670730,91822849,91873681,91883436,91910124,91974481,92212512,92342221,92366161,92390029,92437549,92484781,92496212,92773475,92800742,92837728,92852269,93072589,93251319,93327469,93430609,93472461,93552001,93735275,93787009,93825169,93844141,94074208,94106639,94148538,94152614,94243309,94295041,94639021,94700941,94716241,94791661,94849480,94860591,94922881,95048269,95075341,95090852,95144730,95180749,95193601,95269201,95365969,95401069,95608321,95658275,95668369,95716429,95735149,95922061,95946912,95959681,96002449,96061741,96090156,96109549,96137089,96142381,96177409,96191341,96208909,96213121,96221329,96229249,96233101,96258049,96264529,96297361,96318349,96327447,96329041,96333649,96514610,96587732,96619475,96662534,96699472,96719255,97273239,97782112,98077119,98377647,98449355,98972482,98975894,99509891,99538647,99864730,99866312,...,84978364302371322004053056639838115731068403244018354843418784700058126448963191338118782400468653436850797278592399152913978990750888234965190185026687884466940286753137513618160367517053123567804706387654711691232336355486428481685620789348816805144150004583627075021822782304250626506599138722200306554032203750635491707371935331505494997894047572859812439213881429807480717153431849136928535456182519908792453398655069510745605100822373579791473707680327364035911629162033287380179150884570984450709402517257099884148347195678333325673870821070865389193029805654677330010755467932306557841302834371278293913558083704718074866191677019570907340742696808969106982723390639357334780766245499002927163834074866946754614338299152564846516970003607874533511949042353544127019413654145709344067297181080935153784702397362898141440760437889808017489921444000880903799956732782838032630271642086193601355881483701296799337467948294074654489075152150542145743681964360817700918676913835383138777500215871090732590206550077911471684069767393133775429532759254651894938485061805490968431931435289803209397507697777080415035505854635470390886257834070819368561869779888180986595462099090630770628649289495936511442703512289664801378101189698887685839104879275358772727693777166709039701630826935851423471535233279199218510794504926652075573694958066933133969849809460276231686822336587819125818074899543060186053356459094293917709398915879158805903870001548636442131810132087215842544800999150492950703854981875835144488311609049363666909960308036017062737339406762315665164494957478126747664993992825907503116725286587298865839456341189107422780637112087635701455085171183637644718690953238464523465431465113439351920830217178021226765467985249829318367448326076370261607443224308584164378105926786166350660410864679947681488423729421878730026441963897086126493585196237262562718638349964790151894330715686748786045728638000078938848202562343598919216927535152121252241385369136307634182973575778021508307579938557176895885833406972862127832141753351247183386969101336123430125260117970980069552417376726842333331814912241062567772167818604924193034426130553580049432930596518239753159756061902310623429808917973852421338253836469080052512697618020454928322797345537239300887635640774748802209115593842770863530578258911132759565405693196922876784054741478297243838130872530501938459819105777958507405955460706108019106481193719308809331033243830383200245571200874307329688544638745217591190834194636789775300888519119332836867989405149453109715270325450714644570853414854288989659058977976302080859271555126776575878216594080636061477516504884763092798123706096259865971232117456703686962813028931050164788119368310758700652050285191204935261860238855233971398073736772615125769826649248625626155315100257529307739793324151091962254044096687928823940332142834693389130388253566307199948928738102215242041796859334219975533117322930875360114016234718519186358234904667222641590355305669417351923384634708085531616778144730371460793522700612585295299417438755538365051605761298645731792882645234290649804828277487938106770194916836}
19631  70896337267607752020286166750645226006757550334998520138320181047394270: {1117713,1666765,1822521,2000118,2254345,2372689,2705214,2841565,3409878,3568838,3665761,4210345,4958041,5052414,5098340,5214398,5620321,5663533,5683521,6039572,6118008,6440833,6552265,6625814,6882759,7136845,7260841,7429881,7449140,7862718,7970281,8029030,8110345,8126913,8564214,8627960,8823081,8938968,9170841,9201190,9259921,9331028,9634836,9680918,9706455,9717841,9732414,10056339,10320241,10353552,10372630,10434541,10559721,10790233,11041428,11212916,11353321,11599113,11647746,11957881,12290961,12313933,12447156,12620468,13124089,13330040,13349965,13882630,13958401,14016801,14306401,14410561,14412615,14510365,14996295,15001753,15245809,15283165,15373456,15862345,15996048,16019958,16219030,16383092,16654921,16659156,16981129,17157875,17295138,17323748,17405065,17412438,17594329,17658454,17995554,18029240,18339798,18752845,18975704,19034814,19120849,19137565,19308838,19329865,19462836,19695913,20236414,20276461,20282895,20287988,20589450,20718814,20886078,21347667,21614558,21634345,21635088,21886113,21918913,21962080,22503414,22745233,22904121,22965078,23167465,23195838,23570708,23581713,23588401,24247201,24250381,24258441,24339474,24390073,24511250,24707340,24859489,25387582,25961214,25981921,26115718,26354496,26360809,26758095,26789833,27281974,27558241,27800958,27965001,28083649,28322845,28488721,28541968,28982840,29317112,29360881,29413500,29648808,29654665,29661901,30112681,30604765,30877940,30978201,31311921,31374400,31567796,31626721,31698051,31854875,31912969,32109714,32338009,32493190,32501965,32605695,32918422,32977281,32981751,33354909,33406772,33438073,33612601,33672440,33987414,34016845,34038361,34568029,34584265,34779408,34886401,35245318,35296200,35299713,35340265,35483233,35585598,35740489,36681428,36725718,37007641,37053528,37092614,37117030,37415965,37461421,37649280,37659361,37666148,37711453,37735775,37881495,37913918,38225850,38271190,38279329,38319901,38991828,39002358,39096015,39126834,39223318,39492361,39708225,40159232,40214329,40238665,40240713,40406928,40774240,40820214,40820329,41161694,41243521,41501118,41685219,41702416,42089641,42286558,42355440,42408318,42490345,42512569,43224692,43388641,43507713,43760756,44362345,44540436,44899158,44948792,45179136,45181030,45282930,45314761,45361933,45457794,45871020,45925428,46123412,46511302,46542875,46603465,46915218,47066803,47171974,47245489,47649870,47670214,47723960,47991961,48237241,48286398,48301792,48626230,48651721,48671252,48845929,48929088,48972903,49263494,49678395,49688881,49737181,49756478,49961521,50567391,50826528,50952649,50988414,51373729,51510872,51930733,52181065,52402040,52497158,52540401,52990288,53107165,53234814,53301478,53422424,53689455,53908250,54112478,54135561,54162740,54217236,54339516,55033652,55045224,55099753,55210033,55282838,55407801,55851450,55924158,57118429,57175981,57179844,57222841,57268752,57949731,58274845,58301075,58351476,58632062,58642765,58684201,58802420,58849791,58952295,59062328,59480281,59574880,59614074,59795341,60100227,60199275,60210553,60462201,61353121,61397065,61720148,61749560,61839001,61925877,61946845,62022116,62242393,62617278,62624233,62772116,62882448,63066481,63720301,63728598,63742712,63819382,63865453,64212560,64352678,64427346,64622936,64689900,64839441,64995288,65027533,65391494,66056089,66091633,66382321,66392481,66445119,66869302,67021740,67060765,67238290,67325041,67574161,67940121,68462168,68697865,68866113,68987775,69002560,69468255,69530360,69598561,69929814,69961290,70059275,70231249,70371318,70376420,70389878,70478809,70562904,70742754,71159149,71419165,71485652,71489856,71710551,72152756,72239130,72270014,72550641,72700803,72856281,73119699,73404841,73511281,73565041,73586960,73676478,73970329,74056664,74099472,74131465,74177636,74336214,74625376,74672881,74736788,74813761,74814433,74995940,75311014,76073401,76350398,76507113,76768141,77019939,77055072,77303540,77374345,77627880,77913565,78019113,78221655,78223033,78455353,78811465,78923721,78997681,79063609,79371181,79383267,79525713,79539421,79989193,80066845,80426088,80472918,80685948,80703949,80773142,80874601,81045481,81131774,81233012,81632254,81689689,82214365,82289449,82314932,82437438,82536632,82659361,82750345,82785330,82803072,82993295,83119521,83287250,83313747,83361906,83436432,83450744,83953548,84071130,84170614,84295796,84451704,84612038,84775009,84890665,84904761,84971830,85298881,85471921,85498113,85559348,85702998,85790833,86295416,86430289,86548575,86686956,87331365,87383023,87972793,88162934,88171640,88304352,88341430,88445065,88801748,88957758,89037908,89239731,89333841,89463190,89675872,89736692,89789833,89881753,89920713,89995128,90236941,90479349,91384113,91929613,92318480,92353741,92485801,92625049,92764248,92849214,92853711,93153456,93416420,93496278,93555572,93704655,93714321,93865986,93882087,93922765,94024958,94167878,94201268,94337161,94573758,95008167,95163681,95437633,95741913,96032845,96054700,96080214,96178630,96319281,96332401,96559465,96838654,97082343,97438292,97464614,97475293,97566601,97949833,98244049,98481272,98599558,98627533,98657238,99193095,99300414,99342396,99479361,99502772,99591954,99944700,99951632,...,127467546453556983006079584959757173596602604866027532265128177050087189673444787007178173600702980155276195917888598729370968486126332352447785277540031826700410430129706270427240551275579685351707059581482067536848504533229642722528431184023225207716225006875440612532734173456375939759898708083300459831048305625953237561057902997258242496841071359289718658820822144711221075730147773705392803184273779863188680097982604266118407651233560369687210561520491046053867443743049931070268726326856476676064103775885649826222520793517499988510806231606298083789544708482015995016133201898459836761954251556917440870337125557077112299287515529356361011114045213453660474085085959036002171149368248504390745751112300420131921507448728847269775455005411811800267923563530316190529120481218564016100945771621402730677053596044347212161140656834712026234882166001321355699935099174257048945407463129290402033822225551945199006201922441111981733612728225813218615522946541226551378015370753074708166250323806636098885309825116867207526104651089700663144299138881977842407727592708236452647897152934704814096261546665620622553258781953205586329386751106229052842804669832271479893193148635946155942973934243904767164055268434497202067151784548331528758657318913038159091540665750063559552446240403777135207302849918798827766191757389978113360542437100399700954774714190414347530233504881728688727112349314590279080034688641440876564098373818738208855805002322954663197715198130823763817201498725739426055782472813752716732467413574045500364940462054025594106009110143473497746742436217190121497490989238861254675087929880948298759184511783661134170955668131453552182627756775456467078036429857696785198147197670159027881245325767031840148201977874743977551172489114555392411164836462876246567158890179249525990616297019921522232635594132818095039662945845629189740377794355893844077957524947185227841496073530123179068592957000118408272303843515398378825391302728181878362078053704461451274460363667032262461369907835765343828750110459293191748212630026870775080453652004185145187890176956470104328626065090263499997722368361593851658251727907386289551639195830370074149395894777359629739634092853465935144713376960778632007380754703620078769046427030682392484196018305858951331453461162123203313673390764156295295867388366699139348108539795384315176082112217445865757196308795752907689728658666937761108933191059162028659721790578963213996549865745574800368356801311460994532816958117826386786251291955184662951332778678999255301984107724179664572905488176071966856280122281433484488588466964453121288907332690164863817324891120954092216274757327144639197185559144389798956848176185055530444219543396575247182179052466138050978075427786807402892790358282850957097110605158922688654739973872938439232972650386293961609689986226637943381066145031893235910498214252040083695582380349460799923393107153322863062695289001329963299675984396313040171024352077778779537352357000833962385532958504126027885076952062128297425167217095557191190284050918877942949126158133307547577408641947968597689323967851435974707242416231907160155292375254}
19632  71173830706784993601367724533177187265662253713431667464205053170540227: {451007,568487,1193831,1427807,1490284,1544687,1739327,1840802,1972631,2075162,2309378,2430028,2554631,2666824,2777378,2902967,3000177,3173447,3478298,3606952,3713231,3867167,4057821,4097831,4443287,4546504,4673231,4864631,5114817,5353257,6046847,6372925,6388631,6500642,6732122,6736552,6919007,7183607,7372367,7549465,7578028,7578621,7647510,7656602,7711631,7821597,8050247,8087831,8157344,8613167,8808962,9059358,9177012,9268898,9311425,9398231,9728258,9906508,9938721,9957722,10483624,10735847,10784950,10835884,11173710,11418952,11437631,11663785,11764108,11769047,11794077,11918624,11989631,12016418,12043545,12227788,12393287,12503207,12759407,12846321,12846448,12941940,12976552,13408452,13451774,13598447,13801785,13804736,13852967,13996542,14016145,14079628,14452254,14521377,14578007,14598621,14721904,15465484,15530328,15558945,15587687,15767327,15775585,16098818,16126007,16387948,16555367,16562142,16596208,16603741,16662550,16819374,17197247,17224538,17471619,17588231,17801087,17898242,18119831,18670734,18689068,18794498,18930702,19216820,19318127,19465178,19493567,19995060,20228231,20263127,20478865,20542007,20823945,20889887,21247322,21271631,21328064,21359944,21617831,21654685,21790631,21997727,22212208,22536550,22577882,22651631,22799138,23060184,23216584,23462042,23473487,23678231,23719630,23882687,23994072,24029937,24154847,24188831,24328545,24453064,24574638,24974222,24988734,25204631,25359985,25379752,25507967,25652473,25676207,25881602,25942707,25950448,25985622,26079167,26118657,26380631,26487681,26914967,26993331,27014927,27043860,27181367,27194018,27380831,27452600,27509697,27848104,27911327,28373831,28463556,28552221,28571567,28718618,28846784,28963257,29163047,29181484,29194254,29463385,30004552,30354621,30370727,30431982,30538828,30620104,30630407,30824831,30826081,30857207,30884175,30927784,31078221,31100162,31148231,31329117,31442284,32176922,32344588,32421837,32452632,32943120,33035738,33230831,33250082,33755121,34106018,34447617,34464167,34495631,34614952,34746458,34793757,34841207,35139328,35356062,35677460,36089687,36228550,36244847,36489614,36509211,36523631,36646390,36766875,37017647,37061010,37067944,37286668,37448231,37478927,37718042,37754831,38081373,38548247,38597425,38941821,38942927,39003527,39173577,39218000,39330193,39457007,39459745,39531744,39577631,40028831,40358567,40448327,40452098,40478231,40922961,41079578,41252927,41304268,41697407,41701437,41749228,41758465,41963231,42090550,42264068,42434207,42812952,43399127,43474260,43783682,43969708,43975668,43979687,44120250,44153231,44473212,44585831,44817242,45072013,45229658,45316552,45559727,45851785,45872831,46128287,46156631,46258178,46316910,46366502,46372544,46411367,46467887,46744621,46873562,46975127,47061600,47066284,47082685,47143631,47171687,47283098,47351694,47447464,47692058,48164571,48304418,48564287,48739785,48967624,49060727,49377633,49404704,49499831,49728218,49882367,49909631,50110158,50133722,50199040,50508660,50966687,50967800,50981121,51679537,51989104,52003144,52128020,52167214,52169112,52330631,52353698,52859831,52867977,52944300,53254631,53378397,53516831,53654284,53757338,53875904,53882567,53957282,54030865,54064847,54298631,54356738,54426952,54661007,54700945,54755618,55022142,55088577,55334824,55580292,55638921,55675545,55774873,55815167,56147162,56185990,56348231,56473920,56499222,56544424,56545069,56741378,56827487,56870877,56978231,57136802,57203807,57338775,57353831,57406785,57654265,58010284,58099631,58445207,58487742,58503537,58617407,58690251,58834977,59058407,59180447,59387248,59654950,59865544,59904397,60238848,60377240,60437807,60610392,60839065,61161360,61230321,61233904,61253978,61642778,61742541,62251677,62399927,62553624,62562887,62679047,63095567,63118631,63371807,63429837,63533160,63578231,63612477,64125527,64352207,64381864,64388590,64799581,64837038,64924322,65027447,65161631,65238784,65273231,65297204,65473607,65502550,65606831,65629007,65641134,65690402,65739767,66237860,66618647,66727607,66778030,66810654,66923231,67348737,67405658,67423188,67703425,67768704,67771545,67912967,67924395,67984552,68019527,68186691,68612567,68792065,68806530,68888142,68920538,69185118,69655967,69674522,69766953,69800447,70053868,70211087,70372827,70613762,70757961,70979752,71083127,71203631,71474805,71505321,71585940,71801831,72180748,72219553,72275207,72289648,72373247,72429597,72452688,72510167,72939345,73006878,73019401,73092527,73150367,73188887,73265831,73393632,73503025,73534127,73827910,73877068,73895241,73933631,73965218,74103767,74235647,74468600,74565544,74610287,74634717,74777831,74887898,75129407,75255962,75331631,75508489,76040807,76119121,76239792,76358336,76417631,76482621,76684631,77087642,77150185,77186950,77266308,77527645,77544287,77578967,77764093,77801968,77816282,77998082,78418631,78465145,78466388,78603060,78745737,78772607,79156247,79420631,79485432,79502831,79627802,79678390,79813367,79852221,79952217,79988378,80133636,80153231,80233631,80265700,80569127,80616268,80632631,80775047,80778670,80862375,80869631,80887298,81042287,81168717,81198407,81244110,81322727,81325854,81431087,81509274,82229017,82388687,82550478,82567836,82674338,82789367,82924257,83009447,83357831,83385122,83429831,83489704,83777175,83843264,83886237,83916698,83998631,84093602,84152807,84499607,84971464,85017167,85151447,85178207,85231631,85549487,85577710,85769766,85810847,85903128,86004767,86171113,86253200,86349287,86387207,86452588,86475407,86513087,86555138,86588231,86660384,86700407,86784841,86848967,86912950,87130487,87203231,87275687,87395807,87455567,87457678,87503231,87527214,87669047,87914831,87948093,87970525,88202831,88203630,88373231,88497047,88523308,88530647,88593492,88664327,88815578,88862687,89090831,89133887,89294207,89357065,89362320,89421111,89567831,89609447,89784887,90068807,90178631,90190945,90277631,90366047,90482927,90586828,90938927,91051682,91096007,91222682,91259807,91268831,91367567,91393538,91394327,91403231,91535831,91761407,91821484,91838231,91840441,91872167,91973207,91983700,92245658,92261327,92500487,92570830,92580222,92585498,92624340,92686631,92722045,92808167,92875631,93033174,93095831,93196127,93239752,93245687,93281720,93343631,93420985,93614831,93744925,93771407,93809831,93828424,93847967,93925917,93942047,94083872,94088831,94158174,94213487,94276058,94317527,94323672,94333057,94402247,94517831,94624631,94656047,94723127,94780418,94783847,94808807,94944887,95092727,95198231,95278487,95319808,95441831,95450882,95501927,95556407,95588231,95592897,95614068,95636447,95689631,95729073,95756327,95845487,95887367,95940407,95946877,95973167,95978087,96023231,96098831,96106847,96130127,96197831,96211727,96229247,96236207,96248231,96266831,96273767,96277127,96316607,96318840,96349367,96352631,96353687,96529017,96629425,96641019,96734188,96934404,97034850,97141708,97492932,97678861,97779362,98087241,98109698,98235304,98604122,98799296,98933018,99114952,99752738,...,191201319680335474509119377439635760394903907299041298397692265575130784510167180510767260401054470232914293876832898094056452729189498528671677916310047740050615645194559405640860826913369528027560589372223101305272756799844464083792646776034837811574337510313160918799101260184563909639848062124950689746572458438929856341586854495887363745261607038934577988231233217066831613595221660558089204776410669794783020146973906399177611476850340554530815842280736569080801165614574896605403089490284715014096155663828474739333781190276249982766209347409447125684317062723023992524199802847689755142931377335376161305505688335615668448931273294034541516671067820180490711127628938554003256724052372756586118626668450630197882261173093270904663182508117717700401885345295474285793680721827846024151418657432104096015580394066520818241710985252068039352323249001982033549902648761385573418111194693935603050733338327917798509302883661667972600419092338719827923284419811839827067023056129612062249375485709954148327964737675300811289156976634550994716448708322966763611591389062354678971845729402057221144392319998430933829888172929808379494080126659343579264207004748407219839789722953919233914460901365857150746082902651745803100727676822497293137985978369557238637310998625095339328669360605665702810954274878198241649287636084967170040813655650599551432162071285621521295350257322593033090668523971885418620052032962161314846147560728107313283707503484431994796572797196235645725802248088609139083673709220629075098701120361068250547410693081038391159013665215210246620113654325785182246236483858291882012631894821422448138776767675491701256433502197180328273941635163184700617054644786545177797220796505238541821867988650547760222302966812115966326758733671833088616747254694314369850738335268874288985924445529882283348953391199227142559494418768443784610566691533840766116936287420777841762244110295184768602889435500177612408455765273097568238086954092272817543117080556692176911690545500548393692054861753648015743125165688939787622318945040306162620680478006277717781835265434705156492939097635395249996583552542390777487377591861079434327458793745555111224093842166039444609451139280198902717070065441167948011071132055430118153569640546023588726294027458788426997180191743184804970510086146234442943801082550048709022162809693076472764123168326168798635794463193629361534592988000406641663399786588743042989582685868444820994824798618362200552535201967191491799225437176739580179376937932776994426999168018498882952976161586269496859358232264107950284420183422150226732882700446679681933360999035247295725987336681431138324412135990716958795778338716584698435272264277583295666329315094862870773268578699207076467113141680211104339185537424276435645665907738384032982109960809407658849458975579440942414534979339956915071599217547839853865747321378060125543373570524191199885089660729984294594042933501994944949513976594469560256536528116668169306028535501250943578299437756189041827615428093192446137750825643335786785426076378316914423689237199961321366112962921952896533985951777153962060863624347860740232938562881}
19633  71452402572119496582329674494406534170637083842875375581502496141713438: {1862855,2235426,2333471,2761203,2804087,3037535,3112743,3156083,3333530,3464067,3645042,3978191,4000236,4097027,4166067,4332263,4508690,4745378,5217447,5410428,5683130,5859503,5894483,6329831,6819756,7137676,7331522,8420690,9173171,9419423,9472535,9750963,9916082,9991583,10098183,10104828,10196680,10428796,10943543,11240642,11327066,11354483,11367042,11471265,11484903,11534387,12079144,12236016,12383135,12881666,13104530,13213443,13251628,13544855,13589037,13762631,13765518,13903347,14273690,14521682,14592387,14705135,14859762,14898280,14936583,15284735,15510287,15725436,15940562,15989507,16058060,16177425,16220690,16253826,16760565,16982867,17030663,17128428,17255920,17599535,17646162,17877936,18024627,18341682,18402380,18519842,18662056,18689951,18807731,19269672,19331855,19361836,19412910,19435682,19464828,20068607,20112678,20177661,20314511,20484935,20640482,20707104,20745260,20869082,20994813,21119442,21396431,21580466,21678381,22082856,22207283,22425832,22597367,22661927,22706642,23198226,23295492,23361335,23915762,24021025,24148227,24252863,24367091,24581922,24627866,24843213,24894312,24993825,25229061,25240936,25836807,26072147,26248178,26253983,26363507,26660080,26699930,26776271,26792591,26847363,27061811,27103367,27765260,27916802,28006101,28033602,28191747,28396053,28612802,28655783,28821122,28825230,29020730,29197767,29789507,29992590,30003506,30115763,30288083,30491618,30566330,30746912,30800387,31108823,31724690,31870983,31992096,32039916,32341331,32434451,32438060,32766184,33189767,33309842,33318312,33804825,33866823,33962258,34198707,34315750,34571567,34590276,34647496,34699223,34810130,34824876,35188658,35193063,35316908,35487827,35579445,35744147,35991108,36058480,36146471,36476855,36679596,36861957,36952031,37461333,37483101,37505690,37715327,37951408,38069628,38173535,38217647,38241698,38275130,38323823,38617676,38659730,38707031,38822403,38925672,38978433,39302855,39391826,39496403,39651983,39657731,39723983,40430735,40472828,40552922,40565790,40575976,40791027,41178900,41229383,41247767,41347127,41437628,41516531,41772156,41868647,42076751,42516947,42695334,42846671,42987731,43077927,43229116,43268690,43270176,43736303,43772226,43791381,43837826,43924160,44596825,45006828,45239207,45490466,45502751,45647973,45808242,45930156,46024151,46212083,46334930,46391676,46608335,46650243,47141416,47163426,47176802,47623583,48242207,48265383,48417971,48493187,48494402,48500762,48516882,48678948,48742343,48780146,48847031,48889007,49022500,49414680,49476371,49550147,49553607,49718978,49742303,49875123,50242127,50698631,50775164,51159027,51379031,51630335,51922428,51963842,52119687,52186535,52231436,52382351,52708992,52721618,52830085,53034093,53516190,53579666,54342825,54563948,54734421,54873191,54962135,54969585,55116482,55591515,55601916,55839347,55930002,56167298,56334131,56577063,56645690,56909843,56977442,57083936,57727007,57965680,58040231,58249487,58634224,58721762,58723223,58827000,58832855,59297616,59309330,59323802,59486483,60216767,60225362,60678147,60714407,61057631,61209530,61619367,61705331,61755880,61956402,62107283,62248787,62623842,62748800,63135592,63135825,63253442,63396102,63709750,63726863,63825938,63902567,64219428,64236551,64676018,64986380,65003930,65160025,65211390,65244851,65675523,65687711,65836844,65954562,65963502,66180375,66480887,66709818,66813544,66830087,66876146,67067855,67225202,67225863,67344880,67844487,67974828,68033690,68076722,68269967,69136058,69168530,69387267,69475365,69549753,69558816,69620483,69772802,70310343,70486067,70490636,70592400,70599426,70680530,70924647,70966466,71027541,71171196,71216807,71480978,71538087,71733791,72429491,72456627,72512855,72677831,72906803,73053491,73362856,73451436,73989047,74015282,74107056,74185228,74234060,74350031,74592327,74630327,74831930,74922842,75165237,75200583,75298560,75318722,75332296,75422906,75471550,75472583,75473591,75762990,75827836,76451700,76542380,76558658,76639802,77111171,77156951,77786627,77983656,78004716,78066287,78192030,78250821,78253668,78446636,78530547,78978647,78984722,79071731,79416450,80318464,80428658,80477330,80481426,80636007,80813856,80882927,80935923,81458423,81535107,81548480,81584783,81621505,81640428,81640658,81650687,82099871,82133427,82159667,82302047,82323388,82487042,82533213,82797325,83000567,83002236,83370438,83404832,83616131,83866067,83990807,84179282,84220743,84278985,84458831,84573116,84640727,84710880,84748833,84816636,84980690,85025138,85112067,85705203,85799687,85955891,86192063,86439287,86449384,86725583,86777282,86940503,87015426,87069527,87521512,87567335,87731613,88416263,88542191,88708967,88724690,88850351,89080872,89482425,89641283,89798316,89897584,90225935,90358272,90362060,90565860,90629522,90723866,90915588,91484831,91742040,91850856,91880967,91897607,92246824,92346335,92464167,92634707,93011063,93022604,93085750,93206930,93830436,93885071,94133606,94317203,94343948,94490978,94638743,95299740,95340428,95447920,95781023,95983922,96177011,96474482,96572796,96582885,96603584,97251167,97252460,97255557,97303442,97342504,97386483,97691858,97858176,97945806,98082985,98253825,98461701,98526988,98535603,98672807,99356790,99377762,99435923,99474362,99512956,99780671,99923042,99986831,...,254935092907113966012159169919514347193205209732055064530256354100174379346889574014356347201405960310552391835777197458741936972252664704895570555080063653400820860259412540854481102551159370703414119162964135073697009066459285445056862368046450415432450013750881225065468346912751879519797416166600919662096611251906475122115805994516484993682142718579437317641644289422442151460295547410785606368547559726377360195965208532236815302467120739374421123040982092107734887486099862140537452653712953352128207551771299652445041587034999977021612463212596167579089416964031990032266403796919673523908503113834881740674251114154224598575031058712722022228090426907320948170171918072004342298736497008781491502224600840263843014897457694539550910010823623600535847127060632381058240962437128032201891543242805461354107192088694424322281313669424052469764332002642711399870198348514097890814926258580804067644451103890398012403844882223963467225456451626437231045893082453102756030741506149416332500647613272197770619650233734415052209302179401326288598277763955684815455185416472905295794305869409628192523093331241245106517563906411172658773502212458105685609339664542959786386297271892311885947868487809534328110536868994404134303569096663057517314637826076318183081331500127119104892480807554270414605699837597655532383514779956226721084874200799401909549428380828695060467009763457377454224698629180558160069377282881753128196747637476417711610004645909326395430396261647527634402997451478852111564945627505433464934827148091000729880924108051188212018220286946995493484872434380242994981978477722509350175859761896597518369023567322268341911336262907104365255513550912934156072859715393570396294395340318055762490651534063680296403955749487955102344978229110784822329672925752493134317780358499051981232594039843044465271188265636190079325891691258379480755588711787688155915049894370455682992147060246358137185914000236816544607687030796757650782605456363756724156107408922902548920727334064524922739815671530687657500220918586383496425260053741550160907304008370290375780353912940208657252130180526999995444736723187703316503455814772579103278391660740148298791789554719259479268185706931870289426753921557264014761509407240157538092854061364784968392036611717902662906922324246406627346781528312590591734776733398278696217079590768630352164224434891731514392617591505815379457317333875522217866382118324057319443581157926427993099731491149600736713602622921989065633916235652773572502583910369325902665557357998510603968215448359329145810976352143933712560244562866968977176933928906242577814665380329727634649782241908184432549514654289278394371118288779597913696352370111060888439086793150494364358104932276101956150855573614805785580716565701914194221210317845377309479947745876878465945300772587923219379972453275886762132290063786471820996428504080167391164760698921599846786214306645726125390578002659926599351968792626080342048704155557559074704714001667924771065917008252055770153904124256594850334434191114382380568101837755885898252316266615095154817283895937195378647935702871949414484832463814320310584750508}
19634  71732057024957350061947249487367177043823426601945555356772538339907158: {607693,725089,902014,1136974,2011693,2387662,2477389,2855614,2941933,2980568,3057889,3089374,3173773,3353139,3478654,3681604,3752113,3945262,4098253,4150324,4618756,4860056,5000295,5109262,5333648,5467563,5554756,5805934,6000354,6346894,6763035,6956596,7070989,7118067,7213904,7426462,7637089,7734334,8088673,8115642,8195662,8524695,8886574,8922095,9093008,9346462,9729262,10229634,10440589,10569251,10706514,10997283,12093694,12541153,12631035,12745850,12777262,13001284,13035995,13464244,13473104,13838014,14367214,14744734,14874123,15098930,15156056,15157242,15295020,15313204,15423262,15643194,16100494,16175662,16314688,16329299,16449889,16564535,16860963,16990599,17050563,17226334,17617924,18118716,18354024,18537796,18581089,18622850,18796462,19322499,19456516,19530733,19622603,19656795,19813016,19877442,19915444,20072575,20265313,20648277,20683489,20967248,21308593,21410535,21471694,21569900,21671768,21782523,22085819,22138033,22289643,22347420,22757089,22837904,22875262,23002975,23327570,23528216,23538094,23588154,23837248,23910843,23979262,24032836,24087090,24191473,24202295,24293389,24331035,24380739,24455576,24786574,25006414,25207393,25518814,25692642,25692896,25883880,25914253,25931575,25953104,26416993,26469243,26816904,26903548,27196894,27512523,27603570,27609472,27705934,27779763,27993084,28032290,28159256,28670411,28904508,29042754,29119365,29153523,29156014,29197242,29199073,29443808,29787889,29885773,30169017,30316559,30860653,30930968,30960723,31060656,31117890,31175374,31303623,31345393,31534654,31551170,31679163,31828333,32197636,32252014,32370699,32775896,33110734,33124284,33192416,33207482,33266353,33325100,33638748,34059963,34394494,34449076,34499533,34706575,34797339,34943238,35176462,35439853,35503979,35602174,35796484,35873643,36093793,36239662,36430823,36558733,36872883,36941799,37341468,37378136,37391089,37483213,37588996,37861404,38400493,38433640,38636254,38930356,38987134,39129133,39372267,39762913,39990120,40049895,40456462,40482913,40526254,40547575,40957730,41019889,41084014,41248739,41647890,41779774,41875203,42050403,42350989,42494644,42543262,42656128,42719888,42919203,43231683,43235662,43237845,43309370,43531095,43581262,43665889,43995454,44146135,44187313,44424416,44964589,44988885,45005259,45073100,45155764,45303262,45308173,45598276,45737427,45821389,45849495,45906673,46120368,46162093,46433168,46924084,46946974,47008813,47177293,47356462,47439260,47587035,47765374,47988144,48059874,48272095,48309694,48348589,48377662,48657090,48906128,49149276,49915633,49948444,49964763,49977468,50409262,50591035,50719970,50729953,50759504,50810989,50943387,51015934,51304946,51352414,51473625,51763204,51797035,51885414,51900896,51971244,52158334,52215195,52237314,52336993,52416589,52761262,52782987,52813489,52975362,53287393,53523373,53829934,53915233,53986662,54029854,54036395,54087720,54362734,54388036,54693553,54761662,54905200,55019394,55243643,55696208,55822654,56258535,56747662,56927112,57060589,57104442,57143134,57360973,57362547,57412695,57437236,57693568,57926514,57989595,58255213,58326094,58362968,58388508,58461851,58919089,58926770,59087739,59285389,59358433,60009104,60709242,60732589,60741454,60829383,60848685,60863964,61077656,61240208,61260814,61278125,61445389,61649662,61652162,61714414,61768350,61855568,62150989,62156442,62200324,62296462,62658234,62849389,62884568,63126733,63468955,63609313,64043001,64192499,64353844,64689176,64843674,64903035,64905264,65289295,65304013,65504353,65637553,65658339,65756739,65886240,65915759,66071476,66233389,66461662,66500164,66561889,66627373,67472113,67510242,67536589,68204935,68212036,68235699,68241073,68712363,68716747,68747953,68895234,68928334,68991262,69187693,69229904,69375073,69492916,69502395,69587514,69682414,69685933,70278656,70712124,70745139,70765203,71032333,71333473,71354920,72179374,72226093,72457100,72489694,72695533,72741603,72751143,72775323,72979228,73018422,73047262,73170219,73292780,73533750,73905889,74035294,74122020,74132833,74135888,74573336,74578467,74896462,74957854,75029089,75305389,75360433,75436084,75509662,75643211,76162746,76581323,76978273,77096494,77189089,77194850,77883642,77885854,77945763,77969389,78007054,78276973,78347154,78436000,78660386,78783853,78914014,78919490,79063488,79082427,79155262,79432033,80057662,80274285,80369499,80453389,80715971,80717134,80896654,80904196,80956462,81210253,81232975,81442993,81845922,81857389,82085089,82130413,82159156,82296055,82310989,82505854,82608536,82674723,82713073,83394814,83402874,83413489,83498456,83516930,83895003,83926462,84181100,84226483,84250947,84263089,84304813,84470989,84528136,84868414,84968535,85043533,85174691,85466163,85625904,85836973,86413153,86798254,86948520,87156193,87228913,87567364,87694573,87939416,87951336,87959374,88082643,88113295,88240500,88306462,88421089,88755889,88946424,88963995,88985703,89171662,89403889,89592673,89634484,89748013,90144026,90203233,90338043,90459316,90497713,90633104,90897889,91119454,91175089,91283953,91418413,91703570,91745662,91810993,91814295,91903019,92256574,92313262,92516356,92633820,92731535,92733004,92745088,92792575,92822734,92824033,92934603,92935774,93133489,93489242,93650989,93729613,93747124,93935763,93950254,94123200,94123489,94132568,94165370,94287262,94299889,94343374,94534753,94566196,94693873,94703388,94784795,94800973,94880163,94894928,94990513,95004589,95073889,95094153,95194093,95345293,95384116,95463373,95564625,95574253,95657773,95677975,95717389,95738907,95810989,95863693,95905633,95937889,95968993,96081889,96192013,96211279,96308891,96329142,96349153,96366433,96373489,96608836,97014027,97091731,97128574,97479570,97505895,97817085,97935248,98058295,98121454,98755266,98809408,98931843,98945253,98999662,99456436,99764734,99819262,...,382402639360670949018238754879271520789807814598082596795384531150261569020334361021534520802108940465828587753665796188112905458378997057343355832620095480101231290389118811281721653826739056055121178744446202610545513599688928167585293552069675623148675020626321837598202520369127819279696124249901379493144916877859712683173708991774727490523214077869155976462466434133663227190443321116178409552821339589566040293947812798355222953700681109061631684561473138161602331229149793210806178980569430028192311327656949478667562380552499965532418694818894251368634125446047985048399605695379510285862754670752322611011376671231336897862546588069083033342135640360981422255257877108006513448104745513172237253336901260395764522346186541809326365016235435400803770690590948571587361443655692048302837314864208192031160788133041636483421970504136078704646498003964067099805297522771146836222389387871206101466676655835597018605767323335945200838184677439655846568839623679654134046112259224124498750971419908296655929475350601622578313953269101989432897416645933527223182778124709357943691458804114442288784639996861867659776345859616758988160253318687158528414009496814439679579445907838467828921802731714301492165805303491606201455353644994586275971956739114477274621997250190678657338721211331405621908549756396483298575272169934340081627311301199102864324142571243042590700514645186066181337047943770837240104065924322629692295121456214626567415006968863989593145594392471291451604496177218278167347418441258150197402240722136501094821386162076782318027330430420493240227308651570364492472967716583764025263789642844896277553535350983402512867004394360656547883270326369401234109289573090355594441593010477083643735977301095520444605933624231932653517467343666177233494509388628739701476670537748577971848891059764566697906782398454285118988837536887569221133383067681532233872574841555683524488220590369537205778871000355224816911530546195136476173908184545635086234161113384353823381091001096787384109723507296031486250331377879575244637890080612325241360956012555435563670530869410312985878195270790499993167105084781554974755183722158868654917587491110222448187684332078889218902278560397805434140130882335896022142264110860236307139281092047177452588054917576853994360383486369609941020172292468885887602165100097418044325619386152945528246336652337597271588926387258723069185976000813283326799573177486085979165371736889641989649597236724401105070403934382983598450874353479160358753875865553988853998336036997765905952323172538993718716464528215900568840366844300453465765400893359363866721998070494591451974673362862276648824271981433917591556677433169396870544528555166591332658630189725741546537157398414152934226283360422208678371074848552871291331815476768065964219921618815317698917951158881884829069958679913830143198435095679707731494642756120251086747141048382399770179321459968589188085867003989889899027953188939120513073056233336338612057071002501887156598875512378083655230856186384892275501651286671573570852152756633828847378474399922642732225925843905793067971903554307924121727248695721480465877125762}
19635  72012798242588011324522758986114433908832001534374969402312972997195182: {1353021,1705461,2607997,3313921,3581493,3725710,4252549,4283421,4470852,4602005,4634061,4666942,4841941,5187905,5217981,5522406,5608174,5773445,5917893,6075070,6225486,6312166,6667060,6928134,6943445,7074517,7290084,7663893,7956382,8000472,8194054,8332134,8664526,8695745,8708901,8831933,9000531,9017380,9490756,9520341,10121309,10434894,10820856,11139693,11366260,11409893,11601501,11719006,11788966,12173463,12293493,12659662,13061861,13261549,13329861,13639512,13645169,14019693,14275352,14593893,14663044,15270893,15344451,15637229,16059771,16251605,16464257,16830305,16841380,17336389,17840933,18140541,18346342,18455453,18838846,18945070,18962797,19118775,19141505,19165893,19501926,19617677,19832164,19983166,20070661,20196366,20209656,20393360,20587189,20757021,20857592,21398629,21550821,21887086,22022405,22117101,22481284,22648395,22654132,22708966,22734084,22735863,22942530,22969806,23068774,23134893,23172245,23464791,23842421,24150741,24158288,24263493,24320645,24472032,24639349,24766270,24894305,25763332,25839501,26209060,26426886,26503256,26533421,26658917,26962375,27064597,27089710,27106141,27178074,27525262,27531036,27806694,27934275,28194693,28547380,28678909,29043364,29184774,29410270,29719524,29796560,29816163,29873166,30041045,30052961,30569470,31020574,31450872,31881124,31910453,31979014,32116120,32207541,32354850,32441380,32507652,32705869,32868593,33521130,33629435,33965734,34061326,34256856,34312893,34511840,34991355,35199070,35205781,35292324,35307141,35382231,35742509,35755872,35968893,36049254,36130635,36683364,36804760,36955813,37039684,37179861,37324112,37379902,37509621,37615462,38221573,38278221,38538963,38539344,38663710,38723672,38825820,38871364,38929656,40137214,40225356,40247045,40355322,40398997,40629022,40795341,40828733,40969870,41280964,41405355,41414208,41490520,41558901,41656375,41738164,41989626,42048435,42098309,42238884,42462593,42792862,43061345,43160932,43166069,43356762,43564131,43734021,43795863,44165712,44198653,44414566,44745605,44851664,45194734,45323854,45413284,45744673,46396452,46590984,46676835,46722670,46763061,46986245,47026957,47301981,47326755,47831524,48042050,48296454,48378021,48417349,48505726,48662945,48734182,48747361,49163844,49255732,49314977,49666101,49686426,49699133,49788624,49811223,49987650,50247301,50458122,50481872,51067597,51229813,51438757,51591741,51673614,52144294,52414857,52496356,52507966,52727014,52764693,53118305,53320160,53399860,53403261,53442949,53488853,53552542,53585182,53694726,54123622,54206734,54359493,55023997,55530520,55833604,56012202,56067204,56341375,56383494,56444705,56603029,56792106,56997845,57225604,57311566,57642244,57650460,57954381,58041460,58395534,58480701,58655105,58657549,59299075,59579014,59985180,60007012,60231526,60576166,60684693,60720673,60789381,60983236,61132660,61436595,61493824,61600774,61626021,62217646,62266693,62435555,62471835,62669661,63079469,63449380,63741966,63814893,63984192,64079832,64682662,64704005,64853493,64868902,64876120,64964055,65040929,65251669,65371893,65532368,65993181,66379534,66619684,66636624,66699701,67609650,67733646,67924516,67954893,67985045,68397414,68631500,69143134,69180552,69294992,69398446,69620260,69649752,69989089,70377316,70386126,70420461,70633816,70975654,71034693,71158890,71224141,71488294,71648061,71796545,71982216,72089811,72116960,72282469,72292942,72464541,72566493,72953710,72985635,73061149,73359192,73415677,73723914,73904062,73962119,74829869,74922666,74966202,75011380,75430654,75613893,75902816,76079955,76139256,76347070,76435294,76483396,76523901,76550260,76647646,76680949,76946989,76957419,77028621,77235352,77319460,77350337,77414062,77644806,77750405,77828121,77851344,77956866,78237501,78355971,78568321,78599137,78605710,78736877,78783652,78992806,79141893,79303966,79315462,79447966,79463043,79725109,80005661,80442305,80744901,80861470,80945656,80979993,81044781,81105844,81131580,81151952,81544101,81582054,82142493,82357800,82365997,82458766,82495534,82529091,82589345,82694254,82875256,83033062,83125205,83544312,83733981,83737294,84073697,84153502,84352837,85033894,85121493,85265045,85316453,85390668,85656663,85693342,85714701,85975462,86155854,86316781,86458232,86537380,86540352,86837953,86866145,86889771,87441601,87472606,87489141,87539989,87544452,87582762,87675652,87848320,88390155,89193650,90013656,90478414,90571375,90980932,91005502,91063863,91112181,91224035,91295946,91316821,91494229,91615975,91616484,91860312,91891221,92048302,92424166,92474493,92478243,92571621,92652525,92669860,92783352,93216670,93234663,93300486,93338401,93444693,93469013,93894997,93987351,94282832,94295105,94326852,94353604,94648549,95247166,96484414,96530766,96835942,96986374,96988804,97001524,97033764,97175573,97265511,97357896,97484686,97495361,97560292,97694062,97778014,98045000,98235373,98409509,98829360,98952742,99100294,99107214,99437956,99484606,99692493,99750246,...,573603959041006423527358132318907281184711721897123895193076796725392353530501541532301781203163410698742881630498694282169358187568495586015033748930143220151846935583678216922582480740108584082681768116669303915818270399533392251377940328104513434723012530939482756397303780553691728919544186374852069239717375316789569024760563487662091235784821116803733964693699651200494840785664981674267614329232009384349060440921719197532834430551021663592447526842209707242403496843724689816209268470854145042288466991485424218001343570828749948298628042228341377052951188169071977572599408543069265428794132006128483916517065006847005346793819882103624550013203460541472133382886815662009770172157118269758355880005351890593646783519279812713989547524353153101205656035886422857381042165483538072454255972296312288046741182199562454725132955756204118056969747005946100649707946284156720254333584081806809152200014983753395527908650985003917801257277016159483769853259435519481201069168388836186748126457129862444983894213025902433867470929903652984149346124968900290834774167187064036915537188206171663433176959995292801489664518789425138482240379978030737792621014245221659519369168861757701743382704097571452238248707955237409302183030467491879413957935108671715911932995875286017986008081816997108432862824634594724947862908254901510122440966951798654296486213856864563886050771967779099272005571915656255860156098886483944538442682184321939851122510453295984389718391588706937177406744265827417251021127661887225296103361083204751642232079243115173477040995645630739860340962977355546738709451574875646037895684464267344416330303026475103769300506591540984821824905489554101851163934359635533391662389515715625465603965951643280666908900436347898980276201015499265850241764082943109552215005806622866957773336589646850046860173597681427678483256305331353831700074601522298350808862262333525286732330885554305808668306500532837225367295819292704714260862276818452629351241670076530735071636501645181076164585260944047229375497066819362866956835120918487862041434018833153345505796304115469478817292906185749989750657627172332462132775583238302982376381236665333672281526498118333828353417840596708151210196323503844033213396166290354460708921638070766178882082376365280991540575229554414911530258438703328831403247650146127066488429079229418292369504978506395907383389580888084603778964001219924990199359766229128968748057605334462984474395855086601657605605901574475397676311530218740538130813798330983280997504055496648858928484758808490578074696792323850853260550266450680198648101340039045800082997105741887177962010044293414973236407972150876387335016149754095305816792832749886998987945284588612319805736097621229401339425040633313017556612272829306936997723215152098946329882428222976548376926738322827243604938019870745214797652643519561597241964134180376630120711572573599655268982189952883782128800505984834848541929783408680769609584350004507918085606503752830734898313268567125482846284279577338413252476930007360356278229134950743271067711599883964098338888765858689601957855331461886182590873043582220698815688643}
19636  72294630418304955217182830968906037705612560410127323130849896673221563: {1037899,1155043,1215386,1450178,1622899,1804028,2273948,3251323,3367099,3482803,4023386,4520899,4775324,4954778,4980403,5095099,5588565,5711228,5883866,5961136,6115778,6124123,6178748,6347546,6693283,6706278,6957308,7000413,7363208,7504226,7890524,8196506,8283609,8300648,8333825,8412261,9112605,9176203,9237512,9338229,9468249,9720112,10000590,10218524,10392201,10627003,10667296,10738099,10935126,11109512,11271725,11403163,11611868,11863445,11934573,12000708,12291081,12490933,12498201,12693788,12835243,12996789,13526070,13601323,13913192,14141978,14207825,14236134,14427808,14852924,15014683,15274178,15468668,15652341,15770683,16177346,16201099,16231284,16391324,16630363,17049390,17578509,17683449,17773148,17844190,18186016,18250393,18328805,18692924,18970723,18989493,19458524,19497763,20337283,20459268,20881178,21051725,21138502,21413028,21994566,22002499,22519099,23190349,23546899,23956003,24187388,24790205,24973723,25082306,25262070,25491700,25554524,26002568,26071990,26091593,26928488,26946208,26987563,27087499,27519513,27676028,28101605,28182043,28258269,28317665,28417605,28734428,29252889,29489468,29748246,29974749,30197860,30294549,30312112,30314484,30442483,30590040,30626408,30846524,31025899,31286388,32200988,32204165,32351324,32629376,32658598,32761325,32830629,32856283,32899778,33129070,33524083,33721926,33809203,33883213,33981198,34063449,34101126,34413795,34452668,34454709,34603161,34943203,35235848,35684225,35693443,35880283,36237432,36253099,36304205,36708048,37075592,37149405,37162178,37245700,37592924,37640899,38644998,38913032,39012499,39061466,39245206,39313590,39626032,39640329,39754884,39830888,39851405,40008043,40145150,40311029,40530626,40551725,40634565,40767111,41287893,41296554,41366978,41710041,41934496,42061483,42502843,42617186,42821070,42943388,43054609,43139800,43343536,43467499,43565046,43777161,44115405,44171638,44276066,44423443,44579286,44694840,44809749,45113203,45514178,45627499,45675808,45712963,45750524,45854205,46005950,46299605,46478899,46530861,46655140,47056432,47076188,47176308,47674496,47821686,47958524,47968521,48065672,48174180,48382946,48404590,48532275,48586778,48589205,48662070,48761478,48911152,49402099,49573148,50012828,50281695,50414786,50948601,51032899,51037628,51091989,51113683,51385284,51385792,51601205,51767760,51828506,51863150,51906208,52172705,52634899,52714243,52798605,52833986,52938486,53633808,53807096,53951165,54073881,54393788,55025046,55207140,55218944,55292203,55369099,55411868,55559526,55828963,55986168,56064580,56069853,56318512,56423193,56766605,56891899,56967283,57340822,57809016,57995565,58085508,58238730,58307046,58312028,58394484,58398146,58681243,58887616,59575778,59771546,59789405,60205821,60338034,60532983,60572899,60633118,60931099,60943533,61454805,61569665,61721306,61804589,61861936,61921446,62121312,62235780,62350748,62415883,62607246,62625403,62690786,62984439,63069308,63102340,63358326,63656666,64142083,64189293,64395272,64504028,64741398,65035143,65423899,65490643,65551792,65620445,66221468,66248568,66351763,66384832,66414964,66483163,66532706,66621849,66650200,66745099,66749825,67135843,67277496,67580933,67717099,67792101,67985781,68119926,68788988,68898152,68987899,68999066,69413150,69594678,69792005,69886476,69983803,70084005,70352924,70827449,70879706,71007958,71142499,71204348,71532005,71592968,71747286,71979643,72052805,72063075,72098083,72187586,72392923,72444681,72479324,72515849,72551825,72568963,72758589,72860923,72861646,73101273,73117466,73208899,73266643,73455833,73745766,73883598,74010763,74124163,74529639,74574883,74682936,74756272,74782178,74965483,74966426,74981475,75008765,75177992,75650953,75687183,75722808,76062043,76229045,76277899,76415825,76759363,76800986,76812499,76867280,77272508,77510421,77548843,77600899,77860712,77974268,78216441,78258266,78744534,78761949,78929083,79090521,79178923,79311725,79525826,79980240,80099790,80305003,80328813,80377773,80542089,80877403,80912924,80965826,81052508,81095150,81185433,81210701,81253243,81310101,81346483,81716563,81915460,82039778,82168028,82497478,82666099,83107099,83274605,83295780,83559548,83750406,83797723,84009763,84018303,84100806,84178099,84575241,84701978,84905645,84989288,85042963,85086524,85188159,85204099,85312256,85439776,85789375,85838406,85967349,86031163,86375899,86463366,86471324,86475690,86618740,86789323,86900563,87025325,87062190,87162524,87331778,87447043,87593301,87646229,87971645,87990908,88150483,88292270,88321843,88355899,88374626,88848832,88856537,89054443,89368521,89929178,89977770,90010518,90088003,90146200,90311528,90347289,90606524,90616346,90704899,90864249,90959563,91098523,91126099,91153603,91196552,91405013,91474854,91642778,91688563,91698990,91813346,91919899,92020843,92240736,92324186,92401161,92413099,92437003,92531899,92786923,92854963,92866336,93228283,93326469,93396763,93499723,93600883,93764225,93848168,93893563,93893948,93912499,94017626,94135481,94276099,94354586,94447099,94712924,94767499,94878520,94931443,95059099,95140963,95174070,95246083,95258899,95321899,95430763,95486909,95530748,95604245,95612949,95672323,95687825,95770603,95929363,95976288,95977099,96014899,96022243,96117499,96119748,96148099,96198643,96229099,96269923,96274099,96290083,96311899,96357403,96388363,96392899,96544190,96619388,96649325,96697178,96755324,97023993,97303353,97314180,97812256,98298552,98479565,99540389,99569301,99831266,99896888,99929526,99954936,...,764805278721341898036477509758543041579615629196165193590769062300523138040668722043069041604217880931657175507331592376225810916757994114686711665240190960202462580778237622563443307653478112110242357488892405221091027199377856335170587104139351246297350041252643675196405040738255638559392248499802758986289833755719425366347417983549454981046428155738311952924932868267326454380886642232356819105642679179132080587895625596710445907401362218123263369122946276323204662458299586421612357961138860056384622655313898957335124761104999931064837389637788502737268250892095970096799211390759020571725509341504645222022753342462673795725093176138166066684271280721962844510515754216013026896209491026344474506673802520791529044692373083618652730032470870801607541381181897143174722887311384096605674629728416384062321576266083272966843941008272157409292996007928134199610595045542293672444778775742412202933353311671194037211534646671890401676369354879311693137679247359308268092224518448248997501942839816593311858950701203245156627906538203978865794833291867054446365556249418715887382917608228884577569279993723735319552691719233517976320506637374317056828018993628879359158891815676935657843605463428602984331610606983212402910707289989172551943913478228954549243994500381357314677442422662811243817099512792966597150544339868680163254622602398205728648285142486085181401029290372132362674095887541674480208131848645259384590242912429253134830013937727979186291188784942582903208992354436556334694836882516300394804481444273002189642772324153564636054660860840986480454617303140728984945935433167528050527579285689792555107070701966805025734008788721313095766540652738802468218579146180711188883186020954167287471954602191040889211867248463865307034934687332354466989018777257479402953341075497155943697782119529133395813564796908570237977675073775138442266766135363064467745149683111367048976441180739074411557742000710449633823061092390272952347816369091270172468322226768707646762182002193574768219447014592062972500662755759150489275780161224650482721912025110871127341061738820625971756390541580999986334210169563109949510367444317737309835174982220444896375368664157778437804557120795610868280261764671792044284528221720472614278562184094354905176109835153707988720766972739219882040344584937771775204330200194836088651238772305891056492673304675194543177852774517446138371952001626566653599146354972171958330743473779283979299194473448802210140807868765967196901748706958320717507751731107977707996672073995531811904646345077987437432929056431801137680733688600906931530801786718727733443996140989182903949346725724553297648543962867835183113354866338793741089057110333182665317260379451483093074314796828305868452566720844417356742149697105742582663630953536131928439843237630635397835902317763769658139917359827660286396870191359415462989285512240502173494282096764799540358642919937178376171734007979779798055906377878241026146112466672677224114142005003774313197751024756167310461712372769784551003302573343147141704305513267657694756948799845285464451851687811586135943807108615848243454497391442960931754251524}
19637  72577557761466552598114495001496465162673886522202534789586436770178204: {1823079,2175267,2255035,2706042,2842435,3410922,3666883,4959559,5215994,5665267,5969155,6035079,6251443,6442807,6627842,7139035,7162986,7263067,7432167,7451420,7662427,7723435,8082823,8505098,8566842,8696635,8825799,8941704,9173667,9204010,9262759,9268122,9333884,9521319,9683882,9720823,9863155,10059417,10375810,10435962,10437739,11044812,11216348,11256339,11546890,11835786,11961547,12150140,12174043,12294759,12317707,12450972,12624332,12773155,13334120,13484419,13856268,13886890,13962679,14149034,14310787,14414983,14514835,14580168,15000885,15250483,15327786,15701059,15867235,15912764,16000944,16388108,16402689,16660027,16664268,17329052,17391490,17417802,17476903,17599723,17663866,17842759,18001062,18034760,18047419,18566155,18981512,19040682,19335835,19355719,20242618,20282683,20289105,20489155,20869788,20999683,21084739,21212967,21354201,21641712,21925639,22216435,22270867,22279386,22732520,22752247,22819786,22911267,23203002,23366155,23438012,23562427,23577932,24266019,24323155,24346926,24586986,25319324,25574085,26123722,26243563,26523098,26659722,26766285,26798107,27279024,27290338,27432859,28039386,28497463,28550704,29187786,29326088,29369923,29550403,29671003,30234235,30541786,30688902,30831367,31274458,31321767,31707753,31864625,31913719,31922803,31943155,32119542,32125579,32441143,32503210,32809339,32928514,32991849,33622963,33660610,33682760,34002667,34048903,34471939,34595035,34672778,34852027,34897159,35681866,35918035,36281082,36692684,36861835,36910906,37284679,37472947,37623459,37677692,37747325,37890140,37893105,37925594,37968163,38237550,38283010,38291143,38331786,38558155,39003852,39107985,39235354,39664328,39966332,40141322,40251235,40392732,40419312,40439155,40786720,41174378,41256259,41514042,41715184,42057463,42102643,42241147,42466939,42525703,42658003,42797258,43065835,43101642,43170487,43402003,43774172,44044810,44234202,44533939,44622369,44962568,45296790,45308264,45375907,45417932,45468168,45471726,45885060,45939612,46137548,46269786,46344490,46557125,46929582,46991155,47081209,47595559,47684842,48006727,48252139,48301482,48316576,48526986,48641290,48944064,48987897,49278698,49320043,49349667,49532540,49693605,49752547,49788610,49976923,50582889,50683099,50968423,50971797,51151689,51526664,51679002,51946747,52418120,52853772,53006512,53066842,53317834,53679235,53915347,53924750,54129194,54159463,54179420,54212282,54356148,54862579,55050524,55062072,55116739,55613388,55743267,55868550,56345863,56389386,57094760,57136003,57188155,57193627,57357818,57967497,58086728,58318925,58369548,58592199,58702279,58735339,58820540,58845235,58867809,58970385,59158963,59439048,59593120,59632326,59746332,59948155,60082090,60105922,60217725,60285883,60511603,60795939,61138940,61372027,61944831,61966435,62041148,62050467,62310259,62516035,62643847,62901744,63085963,63214099,63739987,63762248,63797035,63820906,63925779,63958028,64231605,64232240,64415082,64709700,64882760,65015304,65047627,65240263,65347569,65411738,65701243,65737186,65780743,66257457,66414099,66868929,67042260,67258870,67330483,67594999,67931468,67992235,68122652,68128123,68271267,68513712,68625786,69008925,69023680,69264835,69982710,70080725,70259227,70398140,70411562,70500583,70584648,70614282,70764462,71181043,71485018,71504323,71511744,71732529,71937786,72098508,72261270,72574419,72606885,72692803,72880167,72890035,72993105,73142217,73366728,73609520,73911626,73993123,74079368,74359722,74365627,74648224,74695927,74759804,74837059,75019242,75230924,75489163,75622179,76085383,76096807,76443146,76556442,76791907,77077926,77078688,77327420,77355739,77358283,77447344,77651640,77742728,77742759,77748583,77794725,77859312,77938435,78479539,78745003,78836635,78877925,79022587,79250979,79395763,79407729,79796983,80274428,80450712,80494090,80630035,80710644,80797994,80899579,81258044,81572683,81590682,81657466,81714823,81939740,82117147,82315123,82537569,82561928,82684843,82776835,82810710,82828416,82981040,83018705,83117802,83312750,83339289,83476328,83633383,83979252,84096870,84196618,84477768,84925186,85202203,85325239,85498243,85585724,85784899,85986235,86011233,86122690,86209819,86321864,86332138,86713524,87128262,87358095,87409777,87460569,87468042,87591726,87597219,87941155,87978427,88000039,88331424,88397306,88525063,88829132,89005435,89363667,89491210,89657319,89703328,89871883,90264739,90389468,90507051,90585607,90599155,90647708,90826568,90949677,91489346,92514283,92581959,92792904,92882169,93181968,93353670,93445340,93478759,93526122,93910869,93972490,94036179,94053914,94152763,94162759,94366243,94603962,94653510,95037489,95179063,95484999,95663048,96084100,96590635,96592908,96756042,96834698,97011452,97112097,97325890,97467835,97468364,97494722,97597159,97980007,98327688,98511464,98629954,98657947,99332202,99372852,99398266,99456439,99577248,99622446,99799059,99975300,...,1147207918082012847054716264637814562369423443794247790386153593450784707061003083064603562406326821397485763260997388564338716375136991172030067497860286440303693871167356433845164961480217168165363536233338607831636540799066784502755880656209026869446025061878965512794607561107383457839088372749704138479434750633579138049521126975324182471569642233607467929387399302400989681571329963348535228658464018768698120881843438395065668861102043327184895053684419414484806993687449379632418536941708290084576933982970848436002687141657499896597256084456682754105902376338143955145198817086138530857588264012256967833034130013694010693587639764207249100026406921082944266765773631324019540344314236539516711760010703781187293567038559625427979095048706306202411312071772845714762084330967076144908511944592624576093482364399124909450265911512408236113939494011892201299415892568313440508667168163613618304400029967506791055817301970007835602514554032318967539706518871038962402138336777672373496252914259724889967788426051804867734941859807305968298692249937800581669548334374128073831074376412343326866353919990585602979329037578850276964480759956061475585242028490443319038738337723515403486765408195142904476497415910474818604366060934983758827915870217343431823865991750572035972016163633994216865725649269189449895725816509803020244881933903597308592972427713729127772101543935558198544011143831312511720312197772967889076885364368643879702245020906591968779436783177413874354813488531654834502042255323774450592206722166409503284464158486230346954081991291261479720681925954711093477418903149751292075791368928534688832660606052950207538601013183081969643649810979108203702327868719271066783324779031431250931207931903286561333817800872695797960552402030998531700483528165886219104430011613245733915546673179293700093720347195362855356966512610662707663400149203044596701617724524667050573464661771108611617336613001065674450734591638585409428521724553636905258702483340153061470143273003290362152329170521888094458750994133638725733913670241836975724082868037666306691011592608230938957634585812371499979501315254344664924265551166476605964752762473330667344563052996236667656706835681193416302420392647007688066426792332580708921417843276141532357764164752730561983081150459108829823060516877406657662806495300292254132976858158458836584739009957012791814766779161776169207557928002439849980398719532458257937496115210668925968948791710173203315211211803148950795352623060437481076261627596661966561995008110993297717856969517616981156149393584647701706521100532901360397296202680078091600165994211483774355924020088586829946472815944301752774670032299508190611633585665499773997975890569177224639611472195242458802678850081266626035113224545658613873995446430304197892659764856445953096753853476645654487209876039741490429595305287039123194483928268360753260241423145147199310537964379905767564257601011969669697083859566817361539219168700009015836171213007505661469796626537134250965692568559154676826504953860014720712556458269901486542135423199767928196677777531717379203915710662923772365181746087164441397631377286}
19638  72861584497557178714770447611293838400177470125501853971764168353476314: {568661,803477,1194197,1311257,1545161,1895477,2075798,2089817,2310086,2430772,2555417,2671637,2900356,2903861,3245798,3251657,3521717,3608056,3714377,3829877,4059063,4099097,4547896,4866137,4980917,5116383,6502646,6504437,6731861,6734198,6965606,7299161,7487861,7714037,7823991,8046772,8052761,8278217,8765717,9041798,9314275,9550361,9550648,9909556,9941763,9960806,10190198,10628117,10744479,10850261,11177130,11182937,11422456,11441237,11551817,11667355,11767732,11922272,12231556,12248246,12357496,12507161,12695092,12757647,12850263,13092377,13386566,13412556,13602761,13748297,13806015,13902183,13914616,13966361,14000826,14020435,14510261,14525823,14726416,15008452,15187675,15563715,15653943,15780415,15781048,16393012,16524917,16567218,16601296,16608823,16667650,16824522,16989017,17202761,17320335,17522837,17700377,17753679,18054857,18225210,18231797,18352406,18475024,18676458,18936498,19007957,19440224,19534937,19890955,20001180,20339477,20437048,20485135,20687957,20784402,20830335,21223551,21254006,21334592,21476198,21661315,21797717,21870252,21901337,22219024,22543450,22762037,22806326,22991679,23139161,23223736,23726890,23788277,23869146,24001416,24298697,24582162,24981866,24996402,25212917,25387576,25660327,25670486,25684661,25987097,25993578,26087235,26126703,26188361,26322377,26495799,27001593,27023861,27052140,27202646,27389897,27826384,28019861,28283956,28415650,28472268,28515161,28561023,28811477,28855616,29297515,29472415,29705848,29794517,29957657,30029366,30363927,30478361,30548356,30640661,30835519,30937336,31255577,31304682,31541366,31649155,31899737,32124437,32284697,32354692,32402198,32462568,32604617,32782648,32859977,33260726,33337397,33419079,33527861,33718037,34098780,34192217,34229679,34706287,34804503,34947161,35157018,35366898,35447897,35546296,35688380,35728661,35884361,36350261,36372032,36500786,36520389,36628937,36657610,36814361,36880479,37276661,37385848,37461077,37767797,37941446,37978986,38470217,38683157,38917048,38926037,38995526,39138137,39185583,39342247,39644731,39681737,39784647,39832277,39989583,40042697,40462361,40581977,40674566,40918536,40935507,41088917,41356361,41762356,42059079,42066377,42103450,42277004,42826056,43151957,43297817,43414361,43781679,43989132,44004998,44168777,44428661,44543957,45038198,45053503,45085831,45118517,45147161,45812679,45832217,45865855,45889097,46033353,46380698,46427861,46682057,46911687,47093798,47097115,47362675,47640307,47859737,47912006,48179313,48249161,48374776,48498677,48664661,48754815,49078361,49392771,49580410,49947446,49957915,50164612,50172761,50490915,50524140,50825887,50983400,51109048,51388661,51522761,52005136,52009167,52143980,52183186,52429337,52482377,52826357,52879157,53352917,53522799,53856976,53892416,53902361,53975126,54162761,54174998,54421623,54717715,54836057,55039026,55067861,55299017,55352056,55366359,55791967,55835861,56203210,56364086,56470361,56516538,56621897,56635330,56772415,56823497,56835210,56888391,56999477,57074777,57356325,57375257,57424515,57468856,57497679,57500117,57671935,58121417,58195637,58505778,58853031,58978936,58982837,59202761,59496492,59713397,59931161,59949498,60211983,60395720,60436757,60589098,60624224,60628968,60747977,60795737,60884966,61105397,61180080,61247861,61252816,61461017,61508297,61693048,61761567,61915675,62051798,62166857,62271063,62423861,62572776,62772761,63212117,63465161,63831497,64013897,64195887,64401976,64408330,64580597,64652463,64702648,64819447,64963097,65258752,65317196,65521397,65522650,65661258,65712566,65799556,65831861,66067215,66258140,66351303,66382361,66491861,67014677,67048166,67274357,67443852,67597337,67618406,67724275,67766426,67945185,67962396,68024887,68126898,68195417,68202252,68207589,68301557,68618777,68766197,68813155,68827590,68905336,68909418,69206322,69393557,69404679,69516735,69886406,70116377,70394373,70471696,70728137,70809161,71091737,71368450,71386886,71392757,71527263,71760566,71930057,72241687,72452223,72474864,72506198,72608410,72790479,72890261,72961935,73041787,73180361,73276661,73295897,73416096,73525675,73918047,73926197,73964117,74020937,74151184,74153237,74298810,74322761,74324356,74491400,74682915,74975861,75185848,75281798,75326297,75363017,75418037,75531631,75964277,76423675,76770137,77035157,77158217,77245877,77289996,77518503,77551435,77577161,77826064,78024998,78025817,78122932,78248117,78452117,78490412,78627180,78940361,78957077,79252064,79280658,79473247,79509768,79586357,79600263,79661776,79702810,79750037,79947535,79976751,80016086,80091161,80290300,80316617,80572361,80622058,80651861,80715317,80887125,80889161,80904917,81061252,81103450,81193791,81265097,81269130,81318423,81534222,81911897,82184777,82575786,82589237,82593108,82733956,82958537,83293877,83420082,83438357,83467157,83705167,83724917,83802825,83824457,83868992,84022361,84036437,84106697,84122966,84232661,84579161,84584079,84647861,84702677,84866357,84914335,85005686,85069337,85153315,85234372,85337177,85588661,85642140,85886776,86036727,86109218,86197531,86279600,86287637,86427161,86553161,86687072,86802761,86811439,86934998,87130092,87472661,87554322,87639317,87886361,87991157,87997675,88175861,88230810,88278857,88343276,88415177,88449077,88471637,88552132,88572761,88617497,88846886,88850261,89133557,89158572,89165897,89294537,89337161,89389680,89448489,89485337,89619498,89704661,89746037,89797577,90112661,90123135,90158883,90226406,90311861,90410261,90614297,90927797,90946517,90983861,91028356,91168661,91205237,91223477,91254998,91351616,91425926,91439861,91501048,91708410,91790261,91868623,91918361,92011900,92094677,92404757,92599210,92757017,92802761,92870837,92915861,92957798,93061722,93165557,93310280,93315161,93412937,93419861,93449755,93495497,93617177,93683657,93696857,93762377,94010261,94038655,94065737,94112864,94152376,94156757,94333397,94352616,94362137,94568597,94584857,94727957,94880117,95117717,95135861,95158361,95263577,95331161,95348992,95388617,95452361,95471861,95506457,95620661,95643372,95659337,95693657,95731359,95740361,95753417,95759897,95807477,95819861,95908661,95917048,95937042,95947637,95966537,95976283,95979797,96005717,96040661,96076361,96123317,96131344,96180437,96191861,96212057,96229577,96284597,96297161,96309077,96334361,96338777,96348360,96365237,96376661,96377417,96395861,96397877,96410057,96411317,96411737,96622623,96659275,96765892,96809180,97064550,97173556,97178410,97324140,97522956,97708807,97822304,98117607,98605779,98804198,99146296,...,1720811877123019270582074396956721843554135165691371685579230390176177060591504624596905343609490232096228644891496082846508074562705486758045101246790429660455540806751034650767747442220325752248045304350007911747454811198600176754133820984313540304169037592818448269191911341661075186758632559124556207719152125950368707074281690462986273707354463350411201894081098953601484522356994945022802842987696028153047181322765157592598503291653064990777342580526629121727210490531174069448627805412562435126865400974456272654004030712486249844895884126685024131158853564507215932717798225629207796286382396018385451749551195020541016040381459646310873650039610381624416400148660446986029310516471354809275067640016055671780940350557839438141968642573059459303616968107659268572143126496450614217362767916888936864140223546598687364175398867268612354170909241017838301949123838852470160763000752245420427456600044951260186583725952955011753403771831048478451309559778306558443603207505166508560244379371389587334951682639077707301602412789710958952448038374906700872504322501561192110746611564618514990299530879985878404468993556368275415446721139934092213377863042735664978558107506585273105230148112292714356714746123865712227906549091402475638241873805326015147735798987625858053958024245450991325298588473903784174843588724764704530367322900855395962889458641570593691658152315903337297816016715746968767580468296659451833615328046552965819553367531359887953169155174766120811532220232797482251753063382985661675888310083249614254926696237729345520431122986936892219581022888932066640216128354724626938113687053392802033248990909079425311307901519774622954465474716468662305553491803078906600174987168547146876396811897854929842000726701309043696940828603046497797550725292248829328656645017419868600873320009768940550140580520793044283035449768915994061495100223804566895052426586787000575860196992656662917426004919501598511676101887457878114142782586830455357888053725010229592205214909504935543228493755782832141688126491200458088600870505362755463586124302056499460036517388912346408436451878718557249969251972881516997386398326749714908947129143709996001016844579494355001485060253521790124453630588970511532099640188498871063382126764914212298536646247129095842974621725688663244734590775316109986494209742950438381199465287237688254877108514935519187722150168742664253811336892003659774970598079298687386906244172816003388953423187565259804972816817704723426193028934590656221614392441394992949842992512166489946576785454276425471734224090376971552559781650799352040595944304020117137400248991317225661533886030132880244919709223916452629162005048449262285917450378498249660996963835853765836959417208292863688204018275121899939052669836818487920810993169645456296838989647284668929645130780214968481730814814059612235644392957930558684791725892402541129890362134717720798965806946569858651346386401517954504545625789350226042308828753050013523754256819511258492204694939805701376448538852838732015239757430790022081068834687404852229813203134799651892295016666297576068805873565994385658547772619130746662096447065929}
19639  73146714868248552374272290420734516561758890686334950064933519802257369: {3038465,3113697,3157049,3465129,3625445,3646158,3979409,4098281,4333589,4350534,4510070,4868697,5412084,5684870,5861297,6331769,6682577,6821844,7333766,7388069,8356817,8563889,9753969,9919118,9994649,10058465,10101297,10431988,10448409,10812809,10946897,11330534,11938310,12070158,12175289,12386945,12502886,12885614,13255684,13562697,13766849,13808417,14278070,14325972,14526134,14709665,14864334,14902840,14941209,15285297,15289445,15324854,15446870,15868865,15994409,16165646,16765695,17010196,17035889,17133684,17393270,17651598,17882417,17883408,18347334,18372369,18408020,18525518,18536244,18555797,18667768,18760565,18813497,19042638,19367764,19441646,19726310,20079849,20118834,20320769,20491265,20751620,20839577,20871924,20875478,21001239,21086897,22089624,22214129,22432696,22447937,22512678,22668881,23093780,23671572,23923094,24300280,24348086,24589518,24635414,24850827,24890969,24901944,25001475,25236783,25248664,25546310,25992617,26246249,26668240,26968838,27070169,27242897,27337815,27528609,27712536,27773780,27925358,28014687,28298068,28404747,28621574,28684817,28829966,29029670,29160336,29331041,29798681,30001770,30500966,30655572,31103009,31118369,31176603,31402118,31734470,31825528,31881009,32001888,32214297,32351297,32712617,32776216,32805378,32812697,33026921,33320054,33328536,33626417,33815175,34052417,34209489,34658104,34709909,34782980,34835604,34953806,35199446,35327732,35354945,35590335,35685518,35803719,36002124,36069520,36094838,36153497,36873243,37132310,37472799,37494603,37726949,37963024,37972049,38081364,38185445,38505729,38671670,38711438,38718977,38990367,39736229,40443365,40485236,40565366,40578210,40586657,40803969,40978310,41242097,41739576,41881529,41999366,42169478,42327929,42425934,42530081,42623475,42662369,42708402,43283424,43851278,44104037,44432870,44538497,44541734,44558772,44610475,44720417,44745521,45044049,45066857,45253169,45465040,45504494,45639572,45822534,46038329,46406004,46732310,46876024,46957023,47124854,47155864,47312049,48433049,48508121,48532038,48603297,48646310,48693852,48757397,48904049,49173972,49757669,49891089,49982057,50257649,50285249,50638648,50714249,51148170,51307937,51394937,51606569,52202945,52247444,52487126,52735527,52846255,53046196,53050347,53319444,53532570,53596214,53651657,53981417,54558048,54580676,54751179,54865718,54986415,55122401,55856561,55995377,56078772,56249297,56351729,56614817,56912169,56927369,56968479,56994926,57101408,58058129,58267409,58375572,58493289,58652176,58739846,59100806,59342006,59819957,60235409,60258329,60292169,60468470,61011849,61076417,61083572,61377804,61642661,61662734,62267969,62548916,62643534,62705765,63155175,63415506,63729250,63746549,63827438,63845606,63886310,63922289,64239084,64251158,64684817,64882286,65006420,65179975,65618678,65708009,65787617,65857028,65983698,66007497,66118841,67245926,67321220,67365520,67557297,68005334,68097806,68943878,69190070,69345556,69571047,69704054,69794318,70507841,70640697,71238809,71363732,71755889,71836070,71868009,72562164,72700289,72875237,73385368,73430801,73639397,73723670,73821812,74370615,74569358,74653289,74921169,74945894,75150929,75246918,75355384,75494650,75780280,75786210,75851188,75936326,76475100,76566020,76582286,76663572,77102129,77116310,77555477,78007704,78215970,78274779,78470708,78487601,79096097,79328656,79403957,79572389,79932664,80063417,80249081,80282644,80502470,80785464,80838624,80878310,80962689,81262497,81483509,81573440,81646495,81675809,82249445,82348756,82383329,82512518,82558539,82693337,82822675,83028084,83430368,83891921,83927417,83981777,84016649,84114926,84205286,84304815,84370241,84482294,84484817,84505109,84546129,84774807,84933878,84952995,85051406,85252815,85316006,85594516,85826249,86131670,86203284,86218697,86340974,86466281,86753009,86804006,87096341,87522449,87548344,87758667,88009121,88089620,88443797,88468404,88736441,88871609,88947617,89067878,89244738,89315849,89668889,89919089,89924247,89925136,90593580,90616528,90751814,90835864,90883647,90894161,90936336,90943452,91078217,91327449,91770120,91879224,91884689,91925969,92275096,92539572,92688980,92766257,92905445,93077697,93114250,93859164,93982310,94162418,94346249,94375937,94667897,95189129,95191118,95369684,96013454,96504278,96602964,96612495,96633152,96970769,97053972,97281509,97282580,97653665,97888128,97975794,98113015,98283975,98491887,98557396,98568849,98640086,98699334,99065080,99387210,99505094,99577220,99811409,99953846,...,2294415836164025694109432529275629124738846887588495580772307186901569414122006166129207124812653642794971526521994777128677432750273982344060134995720572880607387742334712867690329922960434336330727072466677215663273081598133569005511761312418053738892050123757931025589215122214766915678176745499408276958869501267158276099042253950648364943139284467214935858774798604801979363142659926697070457316928037537396241763686876790131337722204086654369790107368838828969613987374898759264837073883416580169153867965941696872005374283314999793194512168913365508211804752676287910290397634172277061715176528024513935666068260027388021387175279528414498200052813842165888533531547262648039080688628473079033423520021407562374587134077119250855958190097412612404822624143545691429524168661934152289817023889185249152186964728798249818900531823024816472227878988023784402598831785136626881017334336327227236608800059935013582111634603940015671205029108064637935079413037742077924804276673555344746992505828519449779935576852103609735469883719614611936597384499875601163339096668748256147662148752824686653732707839981171205958658075157700553928961519912122951170484056980886638077476675447030806973530816390285808952994831820949637208732121869967517655831740434686863647731983501144071944032327267988433731451298538378899791451633019606040489763867807194617185944855427458255544203087871116397088022287662625023440624395545935778153770728737287759404490041813183937558873566354827748709626977063309669004084510647548901184413444332819006568928316972460693908163982582522959441363851909422186954837806299502584151582737857069377665321212105900415077202026366163939287299621958216407404655737438542133566649558062862501862415863806573122667635601745391595921104804061997063400967056331772438208860023226491467831093346358587400187440694390725710713933025221325415326800298406089193403235449049334101146929323542217223234673226002131348901469183277170818857043449107273810517404966680306122940286546006580724304658341043776188917501988267277451467827340483673951448165736075332613382023185216461877915269171624742999959002630508689329848531102332953211929505524946661334689126105992473335313413671362386832604840785294015376132853584665161417842835686552283064715528329505461123966162300918217659646121033754813315325612990600584508265953716316917673169478019914025583629533558323552338415115856004879699960797439064916515874992230421337851937897583420346406630422423606297901590705246120874962152523255193323933123990016221986595435713939035233962312298787169295403413042201065802720794592405360156183200331988422967548711848040177173659892945631888603505549340064599016381223267171330999547995951781138354449279222944390484917605357700162533252070226449091317227747990892860608395785319529712891906193507706953291308974419752079482980859190610574078246388967856536721506520482846290294398621075928759811535128515202023939339394167719133634723078438337400018031672342426015011322939593253074268501931385137118309353653009907720029441425112916539802973084270846399535856393355555063434758407831421325847544730363492174328882795262754572}
19640  73432953131461306771450804783869176584476843590068900355909958286007988: {607879,725311,842671,1137322,1606954,1895671,2128879,2388394,2622514,2710639,2942839,3058831,3090322,3174751,3753271,3790954,3868759,4099519,4151596,4179634,4329991,4620172,4861544,5110834,5343274,5469237,5800712,5807722,5935231,6391279,6491596,6503314,6525801,6765105,7043434,7073191,7186591,7216112,7428754,7659754,7865479,8091199,8118126,8198194,8316631,8527305,8766631,9095792,9551359,9732274,9961834,10232766,10888399,11000649,11994679,12545119,13005292,13008874,13039985,13463722,13468396,13749751,13931212,14598322,14878677,14975722,15428074,15647982,16025311,16093544,16105522,16334297,16556434,16562431,16569605,16995801,17531434,17907465,18083596,18105237,18628550,18754329,19100722,19101296,19328421,19628609,19819112,19883526,19921612,20167111,20380396,20690191,20794591,21256234,21262745,21417105,21488958,21700522,21789201,22092581,22145239,22296501,22351951,22354260,22365874,22844912,22882474,22987281,23010025,23103634,23170305,23334710,23535464,23844544,24209705,24248469,24301351,24463112,24496492,24714992,25014322,25390184,25515294,25700526,25922791,25939525,26023519,26089905,26184754,26477397,26526079,26726599,26773132,26825112,27205522,27496594,27521001,27612030,27788277,27804366,27829232,27847337,27923671,27932722,28001652,28040870,28518319,28563957,28679189,28814671,28867225,29020522,29051646,29162469,29307151,29452832,29589465,29895751,29993599,30016904,30178251,30325841,30375350,31127430,31307886,31313217,31452679,31560830,31562096,31742551,31935439,32128039,32786024,33049834,33134436,33202592,33217646,33335300,33372919,33649044,33769017,33978034,34227631,34405522,34640670,34717225,35045674,35372585,35400754,35507358,35545591,35884641,36109714,36441977,36450420,36463594,36522129,36664039,36704812,36884277,36950048,36953121,37311679,37352916,37496071,37872996,38015914,38319465,38687599,38880448,38960839,39069874,39142639,39595879,39781910,40002360,40453257,40496959,40586671,40678954,40874096,40970270,41016521,41123431,41261381,41375914,41568804,41660670,41888037,41923711,42447102,42453991,42508012,42669184,42893911,42932361,42952396,43244949,43322630,43478725,43544505,43595434,43740504,43802674,44159665,44202871,44308817,44438048,44980471,45002655,45086900,45152479,45409951,45524074,45612652,45751449,45922951,45983358,46008199,46278322,46447472,47103177,47109871,47453780,47576554,47601705,47738292,48002832,48597394,49164324,49208067,49963732,49980081,49992804,50423311,50425834,50606545,50775152,50829391,50991319,51320654,51340972,51369322,51555799,51974194,51987156,52116751,52174470,52253406,52376722,52430709,52435711,52644754,52799169,52991119,52991598,53245049,53385679,53528277,53542999,53935039,54003186,54013231,54047722,54104280,54142257,54405292,54779794,54868591,55100359,55652768,55698465,55944631,56039722,56302181,56477359,56567912,56831300,56855719,56944536,57030322,57049465,57122046,57382399,57532231,57622954,57711232,57831031,58007505,58067157,58595030,58944830,59307751,59380831,59411696,59453839,59589034,59915314,60058732,60468391,60727854,60827311,60848049,60867315,60956722,61096712,61281322,61467465,61468831,61671038,61874672,62511154,62609364,62803999,62999049,63082732,63220231,63254217,63298310,63638901,63702559,63799474,64044919,64062603,64212197,64248874,64569394,64709384,64804396,64859239,64925136,65209234,65309305,65565296,65719954,65776917,65935961,66259351,66307745,66521452,66649305,66653551,66674794,66812601,66838158,67055722,67304791,67436074,67498759,67563271,68197560,68225845,68256741,68331799,68384434,68459358,68648959,68733801,68838391,69412574,69609006,69775831,69894322,69941081,70098465,70314036,70687281,70733796,70895794,71092592,71121439,71362351,71376760,71457322,71768722,71840719,72255511,72314479,72700522,72744064,72783631,72798057,72969465,73001572,73040778,73074511,73257874,73305919,73315220,73628722,73760958,73936351,74220031,74553322,74771696,74893519,74922154,75171079,75391831,75535594,75882892,75957972,76354465,76424671,76604801,76722255,76940434,77063599,77274271,77366314,77834096,77852074,77991052,78186145,78259231,78276274,78361399,78371166,78684494,78730689,78968359,79289462,79363474,79481381,79569294,79664554,79761511,79979166,80085394,80298855,80394321,80679439,80740709,80916679,80924722,81163954,81258025,81349132,81478711,81837072,81871014,81893431,82166671,82177834,82298577,82321285,82392391,82712722,83058751,83320759,83524712,83537119,84049039,84118158,84132754,84151525,84206900,84342871,84550591,84554008,84879199,85203199,85283479,85492389,85652112,85719871,85915351,86109031,86300911,86303914,86453119,86528791,86595634,86681945,86828722,86902831,87557959,87563358,87806431,87978264,88009996,88109769,88337554,88631551,88651209,88698439,88798231,88857322,89013009,89087914,89190919,89204665,89604631,89667199,90066871,90076396,90107006,90171662,90237034,90294322,90336439,90702705,90942751,91463959,91517311,91625358,91664434,91731710,91778194,91805599,91857079,91882711,91933759,92009791,92066706,92159911,92277265,92494101,92761396,92855722,92939239,92983951,93310111,93364114,93436039,93823374,93965301,94082311,94155319,94187596,94194230,94209319,94280311,94384639,94536271,94601791,94725350,94744999,94760551,94813985,94897279,95056471,95123259,95246479,95259511,95280614,95348719,95398111,95561911,95593875,95638519,95707525,95719474,95741157,95761639,95768409,95781151,95824012,95828671,95829465,95926879,95952151,96024079,96031711,96097159,96144031,96181399,96199111,96253471,96304951,96338417,96357871,96358626,96376737,96384439,96396679,96424831,96425839,96429799,96430879,96432319,96498322,96749552,96997354,97121497,97323429,97329322,97509630,98088385,98156722,98428017,98785542,98975547,99160820,99894892,99915830,...,3441623754246038541164148793913443687108270331382743371158460780352354121183009249193810687218980464192457289782992165693016149125410973516090202493580859320911081613502069301535494884440651504496090608700015823494909622397200353508267641968627080608338075185636896538383822683322150373517265118249112415438304251900737414148563380925972547414708926700822403788162197907202969044713989890045605685975392056306094362645530315185197006583306129981554685161053258243454420981062348138897255610825124870253730801948912545308008061424972499689791768253370048262317707129014431865435596451258415592572764792036770903499102390041082032080762919292621747300079220763248832800297320893972058621032942709618550135280032111343561880701115678876283937285146118918607233936215318537144286252992901228434725535833777873728280447093197374728350797734537224708341818482035676603898247677704940321526001504490840854913200089902520373167451905910023506807543662096956902619119556613116887206415010333017120488758742779174669903365278155414603204825579421917904896076749813401745008645003122384221493223129237029980599061759971756808937987112736550830893442279868184426755726085471329957116215013170546210460296224585428713429492247731424455813098182804951276483747610652030295471597975251716107916048490901982650597176947807568349687177449529409060734645801710791925778917283141187383316304631806674595632033431493937535160936593318903667230656093105931639106735062719775906338310349532241623064440465594964503506126765971323351776620166499228509853392475458691040862245973873784439162045777864133280432256709449253876227374106785604066497981818158850622615803039549245908930949432937324611106983606157813200349974337094293752793623795709859684001453402618087393881657206092995595101450584497658657313290034839737201746640019537881100281161041586088566070899537831988122990200447609133790104853173574001151720393985313325834852009839003197023352203774915756228285565173660910715776107450020459184410429819009871086456987511565664283376252982400916177201741010725510927172248604112998920073034777824692816872903757437114499938503945763033994772796653499429817894258287419992002033689158988710002970120507043580248907261177941023064199280376997742126764253529828424597073292494258191685949243451377326489469181550632219972988419485900876762398930574475376509754217029871038375444300337485328507622673784007319549941196158597374773812488345632006777906846375130519609945633635409446852386057869181312443228784882789985899685985024332979893153570908552850943468448180753943105119563301598704081191888608040234274800497982634451323067772060265760489839418447832905258324010096898524571834900756996499321993927671707531673918834416585727376408036550243799878105339673636975841621986339290912593677979294569337859290261560429936963461629628119224471288785915861117369583451784805082259780724269435441597931613893139717302692772803035909009091251578700452084617657506100027047508513639022516984409389879611402752897077705677464030479514861580044162137669374809704459626406269599303784590033332595152137611747131988771317095545238261493324192894131858}
19641  73720303561426792843184467241850818337604897450981039144345468400320078: {1705983,2410431,3582591,3933771,4253851,4635483,4843423,5075623,5189495,5686431,5775215,6076930,6227394,6269451,6314098,6930258,7076683,7250890,7292316,7666251,7897591,7958818,8014911,8114495,8196562,8667178,8701068,8711583,9020140,9737394,9754971,10124411,10565151,10824168,11143131,11369740,11413391,11489631,11722594,12177189,12297291,12663538,12701579,13365154,13643688,13649351,14081851,14598411,14667532,14776138,14942751,15275579,15349149,15642023,16256615,16469303,16713634,16835495,17127778,17341723,17414015,17633471,18461111,19130639,19507938,19513311,19838236,19989298,20116930,20195583,20202594,20593531,20863976,20896818,21156251,21405223,21625618,21893794,21897483,22216411,22463583,22604495,22661068,23142111,23269919,23471973,23600471,23876620,24140316,24158283,24350578,24628591,24773890,24834651,24902015,25005772,25475495,25771228,26264791,26297151,26511368,26541563,27125394,27533698,27572351,27616834,27942825,28556140,28651083,28651944,28687771,29052268,29334043,29419330,29728668,29805680,29825289,29882418,30062183,30570594,30578890,30620615,30649708,30893740,31737730,31884351,31988818,32196151,32233437,32331292,32550783,32878679,33455183,33466415,33531390,33548811,34020392,34071778,34267368,34323711,34655451,34786540,35002065,35216623,35303196,35753531,35764834,35766816,36694668,36744738,36816040,37026671,37051036,37072488,37111594,37335536,37521130,37521483,37626994,37678631,38085276,38233351,38272941,38550789,38735528,38883292,39277131,39452620,39740311,40159698,40234919,40237668,40590811,40641538,40808283,40982530,41244891,41418045,41503240,41669125,41679154,41706549,41743848,41750956,41899083,42002478,42061305,42111311,42173794,43530783,43577469,44108551,44179248,44428258,44865392,44895874,45025356,45337762,45563025,45758791,45881015,46187560,46691145,46961829,47269679,47341245,47343144,47831419,47846188,48449291,48600560,48676631,48696172,49179036,49270828,49496923,49574751,49701654,49781938,49803888,49826469,50002950,50262823,50473566,50497328,50967051,50978939,51092620,51454603,51608283,51961005,51985234,52492498,52568511,52753231,53101131,53135015,53260831,53261037,53336480,53459623,53505419,53690495,53937676,54140338,54164571,54485794,54675630,54695391,54767471,55057218,55238423,55425072,55547560,55850716,55862299,56029374,56268811,56358625,56596136,56620711,56809494,57015815,57023871,57243148,57369634,57659932,58059340,58320672,58604811,58662082,59317225,59597362,59672865,60003540,60739471,61001932,61018431,61311144,61455405,62063871,62206018,62236738,62285851,62353206,62454665,62491005,62804236,63098951,63468940,63651056,63670653,63762018,64003776,64176215,64428594,64702594,64983945,65061023,65393151,65425234,65552432,65610756,65625394,65704011,65893879,66053842,66090299,66640108,66657072,66720263,66857599,67252834,67630350,68006615,68104834,68286111,68418978,68975037,69316208,69417483,69419818,69565960,69671208,69907612,70010623,70398892,70655464,70709890,71039125,71180670,71246143,71364831,71371036,71607438,72004248,72139040,72189676,72306994,72896091,73084123,73438363,73746486,73984757,74264620,74318311,74945598,74989206,75073415,75453898,75638751,75926048,75944098,76162728,76370890,76704571,76807751,76980981,77011458,77053983,77343340,77422876,77437954,77961291,77980734,78261705,78380109,78565083,78853415,78967131,79472458,79487397,80886730,80970472,81004779,81005495,81071583,81130732,81156420,81173314,81338671,81607938,81956620,82169691,82484194,82664591,83151815,83479152,83763058,83900539,83998732,84059583,84099623,84338956,84655858,84851868,85060162,85246950,85324738,85342811,85416804,85545483,85683069,86434431,86566848,86864671,87566923,87702556,87788071,87892545,87996551,88208074,88417245,88543499,88745599,88865740,89076994,89083468,89117544,89220950,89383551,89440834,89491042,89872971,90088098,90133714,90506338,90930080,91008988,91091781,91251965,91279144,91344943,91435083,91522423,91644025,91645068,91921983,92076658,92506557,92812008,93464620,93752048,93766731,93914046,93975319,94249708,94311728,94624098,94734959,94839823,94853615,94947465,95379391,95699211,96373311,96854091,96866098,97016242,97064076,97206594,97292620,97387704,97488815,97514794,97808098,97813851,98265691,98347944,98440331,98579931,99251191,99515338,99782178,99964114,...,5162435631369057811746223190870165530662405497074115056737691170528531181774513873790716030828470696288685934674488248539524223688116460274135303740371288981366622420253103952303242326660977256744135913050023735242364433595800530262401462952940620912507112778455344807575734024983225560275897677373668623157456377851106121222845071388958821122063390051233605682243296860804453567070984835068408528963088084459141543968295472777795509874959194972332027741579887365181631471593522208345883416237687305380596202923368817962012092137458749534687652380055072393476560693521647798153394676887623388859147188055156355248653585061623048121144378938932620950118831144873249200445981340958087931549414064427825202920048167015342821051673518314425905927719178377910850904322977805716429379489351842652088303750666810592420670639796062092526196601805837062512727723053514905847371516557410482289002256736261282369800134853780559751177858865035260211315493145435353928679334919675330809622515499525680733138114168762004855047917233121904807238369132876857344115124720102617512967504683576332239834693855544970898592639957635213406980669104826246340163419802276640133589128206994935674322519755819315690444336878143070144238371597136683719647274207426914725621415978045443207396962877574161874072736352973975895765421711352524530766174294113591101968702566187888668375924711781074974456947710011893448050147240906302741404889978355500845984139658897458660102594079663859507465524298362434596660698392446755259190148956985027664930249748842764780088713188036561293368960810676658743068666796199920648385064173880814341061160178406099746972727238275933923704559323868863396424149405986916660475409236719800524961505641440629190435693564789526002180103927131090822485809139493392652175876746487985969935052259605802619960029306821650421741562379132849106349306747982184485300671413700685157279760361001727580590977969988752278014758504795535028305662373634342428347760491366073664161175030688776615644728514806629685481267348496425064379473601374265802611516088266390758372906169498380109552166737039225309355636155671749907755918644550992159194980249144726841387431129988003050533738483065004455180760565370373360891766911534596298920565496613190146380294742636895609938741387287528923865177065989734203772325948329959482629228851315143598395861713064764631325544806557563166450506227992761434010676010979324911794237896062160718732518448010166860269562695779414918450453114170278579086803771968664843177324184978849528977536499469839730356362829276415202672271130914657679344952398056121787832912060351412200746973951676984601658090398640734759127671749357887486015145347786857752351135494748982990891507561297510878251624878591064612054825365699817158009510455463762432979508936368890516968941854006788935392340644905445192444442178836706933178873791676054375177677207623389671086404153162396897420839709575954039159204553863513636877368050678126926486259150040571262770458533775476614084819417104129345616558516196045719272292370066243206504062214556689439609404398955676885049998892728206417620697983156975643317857392239986289341197787}
19642  74008770448749116020931461536943465603916708357411702584699912370887028: {1155397,1215758,1389541,1450622,1623397,1685342,1740217,1973641,2274644,3213908,3368137,3483877,3791342,4257758,4637317,4776788,4867141,5096677,5211337,5245028,5421278,5885678,6117662,6180644,6349502,6809017,7376197,7506542,7581908,7737518,8199038,8279941,8303192,8359268,8659982,8842441,9115395,9179077,9240344,9341091,9471147,9626917,9723088,9962041,10221668,10395387,10686548,10741477,10852537,10876335,10938474,11275175,11601424,11615444,11870462,11938227,12179641,12294843,12782558,12948997,12983192,13000767,13006628,13051602,13530210,14041957,14086868,14146382,14212175,14373182,14432224,14585737,14606091,14857508,15319508,15730958,15775717,16182398,16236252,16396388,16633262,17054610,17063941,17384377,17533262,17583891,17597641,18129541,18191584,18255979,18334415,18995307,19102718,19464548,19504057,19923668,20047731,20448517,20465532,21776798,21802441,22001298,22164207,22629577,23197447,23657017,23861641,23989358,24797795,25070451,25083337,25090238,25690297,25691667,26010584,26017748,26079970,26099579,26395141,26927444,26936792,27096457,27196357,27395941,27499502,27595237,27862424,28092217,28326335,28587397,28883641,29196644,29261907,29757354,29767843,29845775,29951444,29983947,30175395,30303891,30842041,30856148,31036297,31257215,31295964,31345227,32050622,32187088,32211044,32214035,32438427,32668594,32840691,33112868,33124862,33139210,33893587,33915577,33991602,34860937,35062868,35695175,35814930,36167192,36210474,36265477,36315335,36358537,36525867,37160835,37257100,37508658,37653817,38201444,38202592,38312135,38617175,38656842,39257218,39638224,39767052,39843224,40021897,40323371,40334222,40414115,40651141,40688091,40760792,41300547,41380382,41425251,41543941,41589182,42252997,42512468,42525490,42834210,42977916,43067791,43401044,43482757,43483175,43570057,43578402,44128995,44185162,44290478,44439097,44593002,44612041,44703902,44708520,44731748,44823627,45215077,45689824,45729157,45764948,45855891,45868335,45899941,45974562,46020050,46207268,46313795,46325641,46340610,46495417,46669420,47070928,47424037,47606595,47689088,47983227,48260677,48419410,48496938,48602702,48604115,48926224,48992984,49090117,49315775,49429984,49502137,49521619,50028644,50075941,50239237,50297085,50780368,51030588,51107667,51132217,51401052,51845582,51879050,52047038,52179810,52188695,52369508,52495141,52733497,52892041,52954794,53052158,53453198,53546264,53647251,53650224,54228037,54411044,54538451,54993188,55042002,55081417,55117107,55224060,55389577,55576554,55608732,55658464,55667391,55694674,55847342,55849657,55865444,56003304,56081740,56281695,56440491,56988517,57036638,57127914,57358378,57514441,57629342,57734450,58041044,58103292,58324938,58614302,58629541,58905664,59178930,59217637,59728441,59791502,59807735,59987198,60033808,60239547,60356502,60595897,60651682,60750700,60811141,60870215,60962307,61168441,61473795,61523941,61588535,61823531,62254860,62298863,62518731,62579641,62615772,62626434,62719177,62905358,62925967,63003717,63121660,63124192,63260691,63412537,63485102,63619141,63865775,63870878,64256078,65181577,65315641,65516197,65572048,65782597,66099668,66268872,66405184,66435292,66642387,66670600,66745838,66771337,67162297,67298088,67343811,67422095,67538034,67936441,67956068,68006643,68064457,68455262,68811044,69281340,69434450,69813395,69950137,70091348,70135141,70258117,70745170,70747141,70801508,70849163,71014716,71091182,71231557,71553935,71769282,71949541,72074915,72127417,72219428,72422437,72574175,72657157,72883954,72900840,72927188,72948937,73044258,73238917,73296697,73328078,73409624,73412041,73699141,73768554,73900096,73906242,73984441,74154757,74552481,74623358,74661817,74672907,74705832,74992142,75004425,75383941,75710349,75745992,75767737,76031828,76252415,76638930,76844857,76897957,77375198,77633797,77760896,77921678,77977851,78139748,78285278,78505295,78559141,78738747,79191758,79336175,79559941,79563820,79805641,79869251,80004720,80146597,80291641,80387977,80627557,80770441,80906514,80912677,80993918,81173342,81210507,81357908,81728691,81748192,81940540,82013445,82033042,82072777,82246862,82522762,82524217,82585827,82751828,82924357,83137608,83144137,83300135,83321340,83492041,83776074,83847422,84044061,84131941,84257977,84894204,84907982,85016024,85214241,85338368,85363141,85562041,85787822,85864722,85904792,86054451,86070757,86453797,86489898,86642617,86645260,86717641,86829637,86957450,87089010,87190868,87384515,87481008,87523897,87605348,87673091,87913957,87993123,87998615,88319330,88329541,88397797,88405742,88499641,88617634,88876096,89064517,89213795,89323141,89396043,89733577,89960942,90005310,90173800,90237095,90304958,90819902,90976441,91048148,91060357,91171237,91198777,91225304,91253641,91433027,91502898,91838137,91845902,91966117,91966716,92016398,92483977,92531641,92556644,92579017,92830775,92830843,92894944,93168697,93309027,93355107,93466057,93529809,93568837,93729541,93885637,93923941,93961957,94055737,94111141,94206354,94219742,94326277,94343737,94514377,94894537,94907560,95111077,95124937,95153108,95179657,95203410,95311417,95374597,95476584,95516183,95530441,95643027,95663497,95695141,95795941,95824777,95843641,96005664,96077497,96191941,96221641,96249541,96290437,96299941,96322441,96330937,96335077,96343141,96372517,96379141,96441637,96451141,96451717,96642891,96679175,96778595,97053891,97194788,98137851,98328648,98416134,98438091,99080763,99927464,99960162,99985608,...,6883247508492077082328297587826887374216540662765486742316921560704708242366018498387621374437960928384914579565984331386032298250821947032180404987161718641822163227004138603070989768881303008992181217400031646989819244794400707016535283937254161216676150371273793076767645366644300747034530236498224830876608503801474828297126761851945094829417853401644807576324395814405938089427979780091211371950784112612188725291060630370394013166612259963109370322106516486908841962124696277794511221650249740507461603897825090616016122849944999379583536506740096524635414258028863730871192902516831185145529584073541806998204780082164064161525838585243494600158441526497665600594641787944117242065885419237100270560064222687123761402231357752567874570292237837214467872430637074288572505985802456869451071667555747456560894186394749456701595469074449416683636964071353207796495355409880643052003008981681709826400179805040746334903811820047013615087324193913805238239113226233774412830020666034240977517485558349339806730556310829206409651158843835809792153499626803490017290006244768442986446258474059961198123519943513617875974225473101661786884559736368853511452170942659914232430026341092420920592449170857426858984495462848911626196365609902552967495221304060590943195950503432215832096981803965301194353895615136699374354899058818121469291603421583851557834566282374766632609263613349191264066862987875070321873186637807334461312186211863278213470125439551812676620699064483246128880931189929007012253531942646703553240332998457019706784950917382081724491947747568878324091555728266560864513418898507752454748213571208132995963636317701245231606079098491817861898865874649222213967212315626400699948674188587505587247591419719368002906805236174787763314412185991190202901168995317314626580069679474403493280039075762200562322083172177132141799075663976245980400895218267580209706347148002303440787970626651669704019678006394046704407549831512456571130347321821431552214900040918368820859638019742172913975023131328566752505964801832354403482021451021854344497208225997840146069555649385633745807514874228999877007891526067989545593306998859635788516574839984004067378317977420005940241014087160497814522355882046128398560753995484253528507059656849194146584988516383371898486902754652978938363101264439945976838971801753524797861148950753019508434059742076750888600674970657015245347568014639099882392317194749547624976691264013555813692750261039219891267270818893704772115738362624886457569765579971799371970048665959786307141817105701886936896361507886210239126603197408162383777216080468549600995965268902646135544120531520979678836895665810516648020193797049143669801513992998643987855343415063347837668833171454752816073100487599756210679347273951683243972678581825187355958589138675718580523120859873926923259256238448942577571831722234739166903569610164519561448538870883195863227786279434605385545606071818018182503157400904169235315012200054095017027278045033968818779759222805505794155411354928060959029723160088324275338749619408919252812539198607569180066665190304275223494263977542634191090476522986648385788263716}
19643  74298358100467407256596448915724919936130134295947761076969830776250477: {1823637,2175933,2528013,2843305,3411966,4017385,4820862,4961077,5667001,5687013,5970985,6253357,6386637,6556285,7165182,7265293,7664773,7725805,7867542,8085301,8131917,8507702,8828517,9176493,9270966,9477385,9524253,9661321,9686846,10151246,10366813,10378990,10449085,11259813,11360293,11372862,11550430,11606277,11965213,12153860,12298557,12454788,12538902,12628196,12777085,12989973,13132141,13358185,13488553,13860516,14153366,14315173,14501780,14519305,14584632,15010957,15255157,15332502,15705877,15795182,15917636,16029822,16228990,16258285,16393124,16407711,16665133,16991557,17334356,17402136,17423166,17482261,17605117,17608585,17805693,18040280,18052957,18571885,19132597,19149385,19173837,19361653,19474788,19509942,19577403,19707997,20248822,20295315,20495485,21006121,21130302,21219573,21559773,21648336,21698941,22277701,22286262,22608937,22739480,22759261,22826782,22979262,23445188,23569693,23596437,24265273,24273597,24330685,24354378,24379621,24405037,24594582,24874741,24904585,24949893,25327076,25403158,25581915,26299893,26376997,26730308,27287376,27298702,27441277,27575173,28100941,28163702,28654077,29196822,29335064,29552276,29885502,30131173,30551158,30698298,30816157,31284046,31646293,31932637,32135437,32513230,32522185,32665197,32938606,33001947,33427268,33659305,33670990,34013101,34255556,34482517,34589257,34683446,34828030,34862821,34907917,35266942,35505997,35665693,35762437,35984037,36495805,36922222,37439305,37635357,38261278,38343433,38570185,39015876,39026622,39119955,39516613,39676472,39978596,39979957,40233860,40239037,40263805,40391166,40405188,40845541,41187062,41249253,41368297,41391085,41727952,41793636,42254173,42312502,42538837,42810446,42868861,43009741,43251236,43758793,43787588,43794966,43828585,44432822,44636031,44927166,45076141,45208990,45322136,45389881,46284222,46539838,46571375,46852981,46943946,47011117,47200942,47274517,47751805,47753240,48075933,48280632,48316566,48681613,48701156,48872041,48876157,49002891,49257182,49335241,49547780,49575517,49669302,49687293,49708815,49767913,49804030,50011544,50698693,50950990,50987403,51405541,51542456,51962761,52529582,52594302,53022736,53083126,53140585,53510941,53722395,53931973,54250788,54251305,54315711,55067396,55144702,55233668,55885650,55914685,56262987,56854741,57112280,57206185,57258253,57302166,57303888,57375542,57759085,57985263,58104536,58336775,58668086,58720357,58838660,58885827,59177221,59457336,59611360,59650578,59764836,60124366,60247837,60501333,60530221,61073437,61141188,61157780,61241230,61299416,61390933,61737061,61787480,62070573,62383773,62535805,63233677,63475460,63759673,63768702,63788235,63904777,63977636,64233421,64251315,64392302,64466874,64662584,64725193,65067721,65101566,65367603,65461885,65721541,65757358,66277743,66435717,66515317,66727117,66889503,66910366,66932830,67055853,67062780,67097622,67615837,68013805,68040784,68143556,68534736,68647422,68741485,68961843,69030075,69310902,69510915,69573080,69831805,70004130,70102175,70274941,70280893,70433246,70522357,70606392,71507062,71529668,71533632,72551305,72629115,72715261,72745407,72904053,72944293,73389336,73489476,73556773,73632080,74015917,74053342,74102072,74144976,74223188,74389021,74671072,75042260,75042966,75166693,75253988,75357262,75938375,76109077,76170552,76466702,76545882,77101578,77379613,77382121,77471056,77766584,77768373,77818575,78070557,78106717,78269715,78554262,78769381,78902075,78905240,79019677,79432191,79480622,79578237,79822141,80038597,80179797,80319396,80469838,80475336,80753641,81096037,81181622,81283076,81597781,81616566,81965060,82489782,82563003,82624585,82836090,83006480,83044115,83338250,83358308,83364831,83413098,83487696,83501912,83542011,83771013,83798166,84004956,84122610,84222622,84347588,84827941,84945085,85228477,85351597,85554957,85691871,85811293,85843957,86013805,86037567,86236453,86444013,86601675,87061566,87154938,87436531,87487407,87614185,87921453,88005613,88217102,88358496,88501885,88552717,88587721,88768395,88856516,88889917,88966141,89687253,89730784,89791748,89846701,89899597,89980797,90050712,90274285,90292537,90534753,90675524,90977523,91126050,91158985,91517582,91762030,91986217,92375120,92389837,93382290,93923658,93939651,94181821,94358037,94539358,94682490,94686288,94744837,95039785,95209261,95227653,95496397,95662838,95692376,95806317,96297673,96384117,96898582,97201120,97353262,97392344,97535497,97674685,98010181,98304541,98358072,98541656,98688361,98993846,99149502,99403308,99454775,99563876,99607776,99652938,...,10324871262738115623492446381740331061324810994148230113475382341057062363549027747581432061656941392577371869348976497079048447376232920548270607480742577962733244840506207904606484653321954513488271826100047470484728867191601060524802925905881241825014225556910689615151468049966451120551795354747337246314912755702212242445690142777917642244126780102467211364486593721608907134141969670136817057926176168918283087936590945555591019749918389944664055483159774730363262943187044416691766832475374610761192405846737635924024184274917499069375304760110144786953121387043295596306789353775246777718294376110312710497307170123246096242288757877865241900237662289746498400891962681916175863098828128855650405840096334030685642103347036628851811855438356755821701808645955611432858758978703685304176607501333621184841341279592124185052393203611674125025455446107029811694743033114820964578004513472522564739600269707561119502355717730070520422630986290870707857358669839350661619245030999051361466276228337524009710095834466243809614476738265753714688230249440205235025935009367152664479669387711089941797185279915270426813961338209652492680326839604553280267178256413989871348645039511638631380888673756286140288476743194273367439294548414853829451242831956090886414793925755148323748145472705947951791530843422705049061532348588227182203937405132375777336751849423562149948913895420023786896100294481812605482809779956711001691968279317794917320205188159327719014931048596724869193321396784893510518380297913970055329860499497685529560177426376073122586737921621353317486137333592399841296770128347761628682122320356812199493945454476551867847409118647737726792848298811973833320950818473439601049923011282881258380871387129579052004360207854262181644971618278986785304351753492975971939870104519211605239920058613643300843483124758265698212698613495964368970601342827401370314559520722003455161181955939977504556029517009591070056611324747268684856695520982732147328322350061377553231289457029613259370962534696992850128758947202748531605223032176532781516745812338996760219104333474078450618711272311343499815511837289101984318389960498289453682774862259976006101067476966130008910361521130740746721783533823069192597841130993226380292760589485273791219877482774575057847730354131979468407544651896659918965258457702630287196791723426129529262651089613115126332901012455985522868021352021958649823588475792124321437465036896020333720539125391558829836900906228340557158173607543937329686354648369957699057955072998939679460712725658552830405344542261829315358689904796112243575665824120702824401493947903353969203316180797281469518255343498715774972030290695573715504702270989497965981783015122595021756503249757182129224109650731399634316019020910927524865959017872737781033937883708013577870784681289810890384888884357673413866357747583352108750355354415246779342172808306324793794841679419151908078318409107727027273754736101356253852972518300081142525540917067550953228169638834208258691233117032392091438544584740132486413008124429113378879218808797911353770099997785456412835241395966313951286635714784479972578682395574}
19644  74589070840118329200131362884527363618281698120239965607405527203357618: {803723,921059,1194563,1311659,1428683,1973843,2012723,2207003,2310794,2431516,2672459,2779082,2901244,3246794,3252659,3368483,3370684,3480434,3522803,3831059,3947282,4100363,4330883,4407659,4549288,4676123,4982459,5097203,5117949,5250083,6012563,6427816,6736274,6967754,7231293,7582684,8280803,8318363,8515516,8843363,8880803,9274634,9329459,9553576,9627923,9734282,10000283,10193354,10422674,10490056,10631459,10742603,10747773,10842556,10890683,11297243,11555459,11666003,11771356,11801313,11997203,12217643,12235324,12361288,12699004,12761553,13618034,13752659,13861763,13906449,14530269,14752394,15013084,15163816,15192325,15226869,15475036,15568485,15785245,16100459,16398076,16559882,16606384,16637459,16718536,17059293,17319964,17325645,17684882,17812523,18127225,18230790,18343763,18358154,18480688,18682182,18808353,18942294,19253834,19446176,19541243,19716563,19897045,19924082,20241323,20443336,20450723,20491405,20790774,20799083,21230049,21285443,21373096,21482954,21493403,21667945,21705074,21752670,21876948,21908459,22012043,22150043,22425659,22550350,22666403,22998753,23202848,23230888,23454659,23692773,23693723,23740924,23876454,23898323,24044733,24343485,24359282,24589686,25565116,25668181,25897994,25966384,25995659,26001534,26013256,26096363,26103204,26134749,26431523,27060420,27398963,27598283,28083914,28173736,28292764,28326659,28424350,28590563,28746364,28821059,28864448,28886843,29171474,29212182,29264913,29306485,29715016,29804459,29902403,29967659,30373233,30639016,30844957,30845483,30877883,31039763,31169123,31362923,31461916,31551434,31658845,31695453,32364796,32472504,32792776,33094163,33266524,33412885,33429393,33824459,34109220,34127882,34203803,34240173,34468893,34716913,34768754,35066524,35084459,35167782,35195282,35553659,36259082,36269603,36383168,36511958,36531567,36668830,36891873,36940345,37658123,37780763,37990614,38104737,38205436,38574803,38929096,39008114,39030443,39151643,39393659,39656869,39785843,39847336,40056563,40095462,40655843,40897034,40931064,40948053,41784085,41933459,41992523,42245553,42522659,42819445,43167083,43553596,43604243,43604882,43760101,43795233,44002596,44184323,44328414,44559659,44789963,44828253,45067297,45099649,45134459,45220403,45259154,45826737,45848459,45933803,46047447,46331123,46394894,46926069,47177243,47314034,47625563,47654893,47723282,47960459,47978716,48516059,48599123,48769845,49288523,49407909,49535483,49595590,49973245,50081963,50140902,50166674,50180476,50292325,50435459,50489723,50506485,50841469,51057563,51380594,51383334,52021168,52025169,52035496,52129403,52159940,52182659,52199158,52242045,52501523,52790282,52845659,52900413,53636989,53854888,53873584,54064045,54192914,54392714,54494243,54734485,54791882,54856283,54999004,55113923,55190474,55383333,55396403,55724848,55958459,56009363,56184434,56579761,56652670,56718659,56920163,57020723,57096059,57174794,57221459,57391917,57396683,57521603,57546563,57767282,58217459,58291643,58393288,58523814,58539933,58636883,58661483,59514708,59535686,59691550,59808659,59902888,59967894,60350790,60459683,60586749,60607782,60771059,60842723,60876445,61128659,61484459,61531763,61602659,61684082,61712296,61780593,61934725,62072594,62514430,62587643,62591928,62610923,62690454,63468753,63650243,64101244,64106963,64215669,64374176,64422088,64428070,64454533,64605659,64839313,64876043,64876854,65055659,65212403,65337188,65346443,65457923,65546963,65658083,65681382,65692449,65791163,66225736,66249724,66278420,66386459,66605459,66649233,66780083,67390749,67624043,67688459,67787174,67813485,67831154,67966763,67983204,68045761,68222459,68286203,68392283,68793563,68834245,68856659,69024563,69042085,69108323,69426333,69628141,69721874,69809757,70125736,70415919,70451483,70801413,71180843,71261243,71381603,71390350,71421659,71561603,71629860,71860163,72018659,72275123,72334384,72420948,72474849,72530954,72549803,72630670,72717074,73051734,73064173,73094459,73325963,73441283,73548325,73625929,73709243,73885773,73994603,74051459,74183843,74240459,74321670,74503953,74514200,74706045,75017316,75081059,75307634,75412763,75449459,75996059,76050323,76230683,76402888,76405184,76426485,76447225,76481843,76624270,76855643,77234350,77243459,77313684,77540483,77800643,78281459,78332603,78417683,78514436,78794373,78891453,79041059,79276448,79344325,79534104,79571363,79624689,79686448,79784459,79817123,79833443,79972045,80043794,80399603,80646742,80668444,80828230,80940203,81269483,81302282,81376182,81502523,81521584,81947963,82221059,82266323,82371659,82551323,82601094,82717053,82760764,82774283,82848203,82850502,83087882,83178364,83374523,83691059,83730829,83805203,83828475,83904659,84186659,84437723,84505994,84945659,85024936,85050980,85179445,85218301,85255883,85309403,85668420,85772243,85953249,85955832,85967603,86063313,86135459,86135582,86223949,86327459,86479763,86668523,86743523,86802088,86929763,86954459,86965514,86966350,87140114,87156804,87284723,87357323,87477683,87716003,88002129,88206059,88257990,88370324,88457123,88491059,88580956,88748843,88878194,89078723,89186004,89208659,89224082,89407804,89412085,89417040,89463496,89475867,89528459,89560043,89633459,89647254,89654363,89820443,89871923,90096059,90186549,90216683,90430154,90571643,90687659,90764363,90991403,91019459,91250459,91296059,91379648,91413683,91458314,91529896,91547723,91565459,91711782,91736670,91799882,91853483,91861845,91930523,91949124,91981523,92040100,92040659,92141123,92207459,92414536,92451659,92475683,92627590,92649659,92651282,92681220,92778985,92781443,92880659,92990834,93015803,93191963,93338840,93482243,93564659,93666059,93712763,93802825,93908483,93946763,94067485,94127723,94133843,94141856,94390933,94412459,94536803,94581059,94635659,94758203,94794659,94848074,94911683,94971059,95076923,95213190,95228459,95303123,95328923,95345963,95378176,95392163,95441459,95552003,95653053,95681363,95817203,95864843,95966454,96029459,96060803,96068459,96210563,96222683,96240323,96242243,96268283,96273659,96285923,96291059,96310883,96320363,96342803,96345659,96374963,96388163,96398243,96450659,96461483,96465443,96470459,96471563,96521354,96588453,96700311,96838820,96993876,97205404,97208230,97652349,97738753,97852448,97985968,98180234,98631550,98636037,98859968,99004274,99043238,...,15487306894107173435238669572610496591987216491222345170213073511585593545323541621372148092485412088866057804023464745618572671064349380822405911221113866944099867260759311856909726979982931770232407739150071205727093300787401590787204388858821862737521338335366034422727202074949676680827693032121005869472369133553318363668535214166876463366190170153700817046729890582413360701212954505205225586889264253377424631904886418333386529624877584916996083224739662095544894414780566625037650248713061916141788608770106453886036276412376248604062957140165217180429682080564943394460184030662870166577441564165469065745960755184869144363433136816797862850356493434619747601337944022874263794648242193283475608760144501046028463155020554943277717783157535133732552712968933417149288138468055527956264911252000431777262011919388186277578589805417511187538183169160544717542114549672231446867006770208783847109400404561341679253533576595105780633946479436306061786038004759025992428867546498577042199414342506286014565143751699365714421715107398630572032345374160307852538902514050728996719504081566634912695777919872905640220942007314478739020490259406829920400767384620984807022967559267457947071333010634429210432715114791410051158941822622280744176864247934136329622190888632722485622218209058921927687296265134057573592298522882340773305906107698563666005127774135343224923370843130035680344150441722718908224214669935066502537952418976692375980307782238991578522396572895087303789982095177340265777570446870955082994790749246528294340266139564109683880106882432029976229206000388599761945155192521642443023183480535218299240918181714827801771113677971606590189272448217960749981426227710159401574884516924321887571307080694368578006540311781393272467457427418480177956527630239463957909805156778817407859880087920464951265224687137398547319047920243946553455902014241102055471839281083005182741772933909966256834044275514386605084916987120903027285043281474098220992483525092066329846934185544419889056443802045489275193138420804122797407834548264799172275118718508495140328656500211117675928066908467015249723267755933652976477584940747434180524162293389964009151601215449195013365542281696111120082675300734603788896761696489839570439140884227910686829816224161862586771595531197969202611316977844989878447887686553945430795187585139194293893976634419672689499351518683978284302032028032937974735382713688186482156197555344030500580808688087338244755351359342510835737260411315905994529531972554936548586932609498409519191069088487829245608016813392743973038034857194168365363498736181054236602240921855030953804974271195922204277383015248073662458045436043360573257053406484246948972674522683892532634754874635773193836164476097099451474028531366391287298938526809106671550906825562020366806177021934716335577333326536510120799536621375028163125533031622870169013259212459487190692262519128727862117477613661590540910632104152034380779458777450121713788311375601326429842254458251312388036849675548588137157816877110198729619512186643670068318828213196867030655149996678184619252862093949470926929953572176719958868023593361}
19645  74880913007798818410539541487906874773933177442537419550614044570206186: {3039395,3466191,3626555,3647274,3980627,4168623,4213355,4351866,4870191,5056026,5220651,5624339,5686610,5863091,5920923,6333707,6684623,6823932,7390331,7975979,8034770,8359379,8566511,9178799,9478355,9641724,9922154,10104411,10327619,10451631,10644395,10797947,10816127,11334002,11374026,11941970,12506714,12773274,13112570,13268339,13553195,13911951,14330364,14530586,14601423,14628719,14714195,15290031,15294155,15329546,15451610,15519803,15634011,15735084,15873755,15999311,16170602,16263834,17015404,17657034,17887919,18352986,18541932,18561491,18701459,18766355,18819263,18954770,19048506,19322642,19343795,19373692,20080931,20302492,20327027,20427051,20497595,20733626,20757980,20898170,21649955,22128591,22128623,22454819,22519626,22611251,22720586,22745724,22761599,23100860,23212554,23930426,24307720,24597114,24652019,24839823,24898607,24909576,25077804,25256392,25554170,25644203,25979946,26000639,26088143,26264282,26527323,26716370,26792699,26809139,26977106,27120011,27251279,27346185,27537231,27721032,28023273,28306732,28413441,28630346,28693679,28880751,29003560,29038610,29169264,29676155,29886123,30021914,30510314,30665004,30819311,31186161,31411754,31590364,31835272,31956395,32059644,32206619,32224431,32361263,32457980,32516570,32557611,32629005,32786248,32815422,33210203,33330266,33636779,33825525,33983114,34062959,34668712,34804272,34846332,34866419,34911503,34964522,35210234,35217170,35365955,35509631,35611386,35814681,35932955,36080560,36105914,36164591,36538923,36884529,36974723,37143770,37738571,38265194,38298770,38347674,38723306,38846991,38949576,39002301,39019884,39154806,39327395,39415994,40455995,40497644,40590630,40990970,41254811,41273243,41372531,41583155,42012242,42102659,42125871,42260604,42439146,42636525,43014143,43119546,43296672,43397882,43757211,43818273,43833155,44221283,44555402,44572524,45080783,45217874,45478960,45518522,45531059,45653564,45958524,46052507,46890376,47123027,47139386,47192874,47327151,47756795,48272003,48442139,48530546,48547194,48661370,48708756,48759242,48810074,48877043,49189164,49580591,49749482,49809170,49899786,49997459,50253263,50273171,50654152,50729867,50806316,51094127,51163830,51191823,51256043,51968099,52153131,52415027,52599786,52751673,52753994,52792923,53271803,53460616,53998259,54388623,54441995,54574752,54597404,54767937,54882554,55003245,55139387,55150346,56201882,56327404,56369327,56985921,57308154,57762731,57947519,58076027,58393644,58456283,58512171,58670128,59104552,59628143,59771004,59838419,59973395,60143193,60262346,60276911,60752003,61102316,61345551,61360019,61396596,61503119,61632314,61661627,62287151,62568092,62725595,63143723,63240203,63292586,63865274,64270874,64704719,65026460,65044370,65199925,65330394,65407323,65728307,65877212,66003894,66139247,66492621,66852527,66854536,67318610,67341980,67622783,67888731,68026202,68312003,68511112,68748755,68965034,69178514,69366892,69592341,69648779,69656060,69725642,69815834,70533884,70971051,71011994,71260811,71331386,71524874,71584923,71777987,71968074,72722747,72897659,72991610,73453487,73844444,74393385,74396819,74878610,75211353,75250011,75270714,75951827,76522556,76686866,77070891,77075001,77140370,77204459,77579339,77780879,78031752,78053244,78239910,78280559,78298737,78511787,78609011,79033226,79120463,79185423,79352944,79428539,79957192,79959914,80088659,80126555,80467720,80478074,80527610,80782332,80810376,80862719,80932883,81289371,81589071,81671485,81691082,82187823,82210511,82352723,82374124,82498506,82718819,82736594,82782170,82785711,82812155,82848025,83052203,83455904,83587272,84007979,84276651,84508346,84625004,84692843,84979005,85077674,85620892,85737722,85762191,86019482,86245331,86502472,86650923,87517586,87550127,87575176,87589932,87657170,87785721,88036367,88865644,88899071,88905059,88975403,89272062,89303529,89537325,89854332,89947091,89951841,90152282,90417980,90526185,90644272,90779762,90911673,90922127,91106303,91646639,92526123,92568444,92794799,93079676,93108891,93142750,93386891,93705962,93771645,93887892,94022234,94035681,94401884,94405019,94549034,94697051,94697219,95219327,95503610,95506480,95840771,96151866,96238079,96561264,96633132,96642105,97315281,97363226,97402312,97744082,97752314,97764527,98005782,98143045,98514364,98522073,98670482,98698499,98733563,99095560,99151034,99338604,99374586,99417630,99535826,99608060,99842147,...,20649742525476231246984892763480662122649621988296460226950764682114124727098055495162864123313882785154743738697952994158096894752465841096541214961485155925466489681012415809212969306643909026976543652200094940969457734383202121049605851811762483650028451113821379230302936099932902241103590709494674492629825511404424484891380285555835284488253560204934422728973187443217814268283939340273634115852352337836566175873181891111182039499836779889328110966319549460726525886374088833383533664950749221522384811693475271848048368549834998138750609520220289573906242774086591192613578707550493555436588752220625420994614340246492192484577515755730483800475324579492996801783925363832351726197656257711300811680192668061371284206694073257703623710876713511643403617291911222865717517957407370608353215002667242369682682559184248370104786407223348250050910892214059623389486066229641929156009026945045129479200539415122239004711435460141040845261972581741415714717339678701323238490061998102722932552456675048019420191668932487619228953476531507429376460498880410470051870018734305328959338775422179883594370559830540853627922676419304985360653679209106560534356512827979742697290079023277262761777347512572280576953486388546734878589096829707658902485663912181772829587851510296647496290945411895903583061686845410098123064697176454364407874810264751554673503698847124299897827790840047573792200588963625210965619559913422003383936558635589834640410376318655438029862097193449738386642793569787021036760595827940110659720998995371059120354852752146245173475843242706634972274667184799682593540256695523257364244640713624398987890908953103735694818237295475453585696597623947666641901636946879202099846022565762516761742774259158104008720415708524363289943236557973570608703506985951943879740209038423210479840117227286601686966249516531396425397226991928737941202685654802740629119041444006910322363911879955009112059034019182140113222649494537369713391041965464294656644700122755106462578914059226518741925069393985700257517894405497063210446064353065563033491624677993520438208666948156901237422544622686999631023674578203968636779920996578907365549724519952012202134953932260017820723042261481493443567067646138385195682261986452760585521178970547582439754965549150115695460708263958936815089303793319837930516915405260574393583446852259058525302179226230252665802024911971045736042704043917299647176951584248642874930073792040667441078250783117659673801812456681114316347215087874659372709296739915398115910145997879358921425451317105660810689084523658630717379809592224487151331648241405648802987895806707938406632361594562939036510686997431549944060581391147431009404541978995931963566030245190043513006499514364258448219301462799268632038041821855049731918035745475562067875767416027155741569362579621780769777768715346827732715495166704217500710708830493558684345616612649587589683358838303816156636818215454054547509472202712507705945036600162285051081834135101906456339277668416517382466234064784182877089169480264972826016248858226757758437617595822707540199995570912825670482791932627902573271429568959945157364791148}
19646  75173888960229064485234643758567740388651530834975762612884142737877059: {725533,842929,1607446,1842118,2012929,2389126,2623318,2711473,2857366,3059773,3175729,3869953,3947686,4025446,4331329,4414006,4446493,4621588,4863032,5344918,5470911,5558164,5802488,6051229,6493588,6505318,6507133,6527799,6736966,6741368,6960868,7045606,7188829,7302193,7584039,7641853,7662118,7867933,7894564,8200726,8319229,8431873,8529915,8661766,8815318,8881729,9098576,9352246,9964918,10194406,10235898,10500166,11002813,12025126,12052155,12768829,12855632,13472548,13754113,13863229,13935508,14462586,14842033,14883231,15165368,16030429,16138033,16561606,16636726,17001003,17031032,17061039,17686726,17761606,17912955,18062593,18549268,18658918,18760071,18804733,19107152,19159911,19255846,19468564,19668855,19753729,20000566,20278429,20386708,20801329,20845348,20905693,20980112,21262918,21269255,21322429,21485206,21495546,21685112,21781366,21795879,22099343,22359229,22594486,22977853,22994319,23110918,23177415,23332006,23491393,23542712,23602626,23994406,24217115,24255903,24395751,24435286,24470648,24722576,25378115,25398008,25523106,25931329,25947475,26032093,26333953,26485551,27236068,27505318,27529479,27723526,27812898,27855863,28032253,28432155,28572759,28687967,28824253,28876075,28983963,29060538,29504788,29807773,30003613,30026168,30327632,30335123,30384650,30453738,30881329,30950072,31100439,31136970,31347255,31570490,31849729,32200918,32796152,33119764,33212768,33274918,33437072,33779439,34080879,34118586,34239229,34639928,34651290,34818831,35088433,35369764,35383415,35625046,35895639,36254450,36453131,36461580,36687526,36716308,36895671,36961376,37364364,37416733,37616706,37884588,38060593,38331255,38426929,38507668,38892352,38969919,39082486,39396423,39428413,39433126,39487955,39700033,39794090,39848164,40074555,40465659,40482646,40572475,40600753,40886672,40901446,40982810,41029079,41226973,41581548,41598166,41938333,42460098,42570886,42746192,42945519,42965908,42986806,43335890,43410148,43434673,43505340,43557915,43753896,43816918,44024086,44218429,44300086,44322383,44564893,44851318,45032871,45100700,45168433,45332806,45511729,45765471,45997506,46024513,46405696,46461776,46704193,46778039,46909318,47117631,47210929,47385546,47387446,47481848,47752908,47796646,48089466,48383233,48686970,48718564,48774855,48798493,49179372,49223133,49294429,49995399,50622055,50974671,51009793,51130232,51336362,51716483,51795988,51932768,51991318,52003068,52026512,52192726,52206408,52215613,52269498,52446783,52815351,52825755,52863046,53010493,53261351,53417079,54033073,54111229,54120840,54158871,54797926,54888829,55196566,55715655,55965373,56041729,56167828,56319419,56347472,56585528,56653318,56848700,57066955,57181126,57253633,57397791,57448155,57492728,57521511,57553729,57642118,57728896,57773686,57927229,58084959,58342948,58424364,58497719,58529826,58612970,58668829,58732209,59110333,59123991,59330113,59403229,59430032,59476273,59608918,59804806,59840413,59935318,59947223,60491329,60746466,60885945,61278032,61486455,61492273,61634113,61689914,61690966,61755766,62079526,62198593,62338246,62618929,62725846,62897713,62923832,63018363,63102868,63317690,63390906,63507895,63658719,64342429,64679319,64729592,64945008,65086513,65096823,65585552,65688829,65954653,66188326,66285313,66417073,66533048,66614173,66825770,66833103,66858786,67589953,67648918,67826811,68218440,68231473,68246755,68255764,68277783,68407606,68480346,68937786,69433826,69537508,69865729,69962543,70133048,70168918,70335564,70390564,70409255,70481329,70709079,70789311,70847233,71107318,72343933,72518164,72539206,72579229,72766336,72795819,72820791,72992055,73023916,73063134,73138863,73162429,73215111,73337660,73783746,73880690,74307229,74624223,74713755,74812993,74849679,75091453,75202333,75316246,75368113,75561526,75689663,75981228,76173539,76209474,76241329,76377895,76410872,76628279,76745745,77149606,77359453,77819687,77828929,77858192,78016228,78060886,78210115,78303286,78343729,78787318,78899679,79052353,79130991,79313738,79351729,79571686,79694672,79844929,80113126,80190924,80619073,80762173,81281329,81283075,81311686,81514429,81794068,81862128,81896106,82287803,82323831,82346515,82473793,82725519,82875229,83568170,83574493,83703553,83866918,83985046,84177475,84302823,84339133,84491106,84630193,84753853,84958513,85045318,85227023,85242013,85638890,85759153,85798429,85962231,86334166,86340733,86568829,86606593,86708615,87070075,87107192,87208486,87209764,87310429,87491329,87520202,87590466,87847729,87988273,88005192,88167355,88231453,88368646,88656828,88673713,88840573,88906813,89119318,89233693,89394433,89579926,89656506,89679229,89803933,90134594,90199298,90268918,90393519,90440806,90469213,90518308,90586429,91043773,91265533,91320253,91428829,91562929,91653474,91696918,91721473,91867606,91928833,92081329,92094894,92231233,92305555,92448471,92662246,92665393,92789788,92896513,93358429,93379633,93788593,93852138,93886333,94057729,94150429,94223293,94259293,94354486,94434973,94628068,94811713,94903729,94938879,94993153,95205373,95245873,95251126,95309786,95311933,95401393,95446564,95626429,95653195,95681329,95797911,95825473,95892253,95920918,95957432,96015229,96086833,96193213,96260929,96314929,96367943,96406311,96415153,96470593,96475453,96484273,96490033,96491293,96658919,97032118,97151263,97198246,97539690,97566555,97995591,98577046,98815818,99005841,99070966,99191180,99946490,...,30974613788214346870477339145220993183974432982444690340426147023171187090647083242744296184970824177732115608046929491237145342128698761644811822442227733888199734521518623713819453959965863540464815478300142411454186601574803181574408777717643725475042676670732068845454404149899353361655386064242011738944738267106636727337070428333752926732380340307401634093459781164826721402425909010410451173778528506754849263809772836666773059249755169833992166449479324191089788829561133250075300497426123832283577217540212907772072552824752497208125914280330434360859364161129886788920368061325740333154883128330938131491921510369738288726866273633595725700712986869239495202675888045748527589296484386566951217520289002092056926310041109886555435566315070267465105425937866834298576276936111055912529822504000863554524023838776372555157179610835022375076366338321089435084229099344462893734013540417567694218800809122683358507067153190211561267892958872612123572076009518051984857735092997154084398828685012572029130287503398731428843430214797261144064690748320615705077805028101457993439008163133269825391555839745811280441884014628957478040980518813659840801534769241969614045935118534915894142666021268858420865430229582820102317883645244561488353728495868272659244381777265444971244436418117843855374592530268115147184597045764681546611812215397127332010255548270686449846741686260071360688300883445437816448429339870133005075904837953384751960615564477983157044793145790174607579964190354680531555140893741910165989581498493056588680532279128219367760213764864059952458412000777199523890310385043284886046366961070436598481836363429655603542227355943213180378544896435921499962852455420318803149769033848643775142614161388737156013080623562786544934914854836960355913055260478927915819610313557634815719760175840929902530449374274797094638095840487893106911804028482204110943678562166010365483545867819932513668088551028773210169833974241806054570086562948196441984967050184132659693868371088839778112887604090978550386276841608245594815669096529598344550237437016990280657313000422235351856133816934030499446535511867305952955169881494868361048324586779928018303202430898390026731084563392222240165350601469207577793523392979679140878281768455821373659632448323725173543191062395938405222633955689979756895775373107890861590375170278388587787953268839345378998703037367956568604064056065875949470765427376372964312395110688061001161617376174676489510702718685021671474520822631811989059063945109873097173865218996819038382138176975658491216033626785487946076069714388336730726997472362108473204481843710061907609948542391844408554766030496147324916090872086721146514106812968493897945349045367785065269509749271546387672328952194198902948057062732782574597877053618213343101813651124040733612354043869432671154666653073020241599073242750056326251066063245740338026518424918974381384525038257455724234955227323181081821264208304068761558917554900243427576622751202652859684508916502624776073699351097176274315633754220397459239024373287340136637656426393734061310299993356369238505724187898941853859907144353439917736047186722}
19647  75468003070815726996000061590230776461475232464798261116270060112274476: {2411169,2763177,3583689,3934977,4255153,4286049,5077177,5776985,5898697,5921529,6038169,6078790,6621009,6932382,6947705,7078849,7253110,7294548,7900009,7961254,8017377,8116985,8337246,8426710,8701085,8703732,9426157,9740382,9757977,9868205,10105449,10112052,10441302,10568409,11248678,11373220,11416889,11493177,11542633,11726182,11841846,12301089,12667414,12705473,12992649,13222977,13269697,13369246,13647864,14028369,14780662,14902153,14947377,15291609,15353847,15646817,15750249,15951958,16069540,16718758,16840685,17133022,17419385,17638877,17851889,18037689,18357598,18466769,18956710,18974473,19283448,19629713,19844308,20208822,20599873,20655238,20903262,21162737,21288790,21411817,21595894,21632254,21693879,22223257,22668004,22748052,23186585,23277053,23607713,23857049,23883940,24335705,24842409,24955089,25013428,25483385,25546548,26056685,26152009,26225140,26272897,26530089,26536678,26642409,26675273,27081313,27106390,27823902,27988377,28660728,28696633,28883769,29061172,29202846,29257438,29428390,29565533,30000849,30309937,30580062,30588310,30659092,30903220,31039606,31268022,31470168,31747510,31894377,31930049,31998622,32206057,32227809,32243319,32341204,32527668,32672049,33465449,33891729,34030808,34045085,34666377,34998009,35314068,35403939,35764553,35775838,35991609,35995633,36652929,36705972,36880985,37038089,37083864,37122982,37303769,37402918,37532710,37638526,37690193,37909540,38097012,38245129,38284659,38310833,38645284,38687590,38747384,39752557,40161862,40604984,40654054,40854102,40995190,41257977,41259049,41399705,41467252,41515960,41546617,41585289,41719347,41796340,42488669,43192577,43299910,43590807,44212205,44225809,44257182,44257246,44738953,44909638,45039252,45222502,45441172,45491448,45523198,45576975,45680607,45895385,46201720,46425108,46705455,47055913,47355735,47860852,48134585,48301377,48447097,48615440,48777469,49194228,49304038,49512337,49679646,49729889,49797214,49810205,49819152,49912377,50155608,50306137,50512784,51108340,51177879,51261289,51288406,51470449,51959892,51976935,52001278,52176286,52528564,53054646,53277289,53432740,53437569,53585398,53618278,53707385,53954212,54187193,54240022,54262685,54381675,54502558,54692370,54784433,54890669,55031289,55058353,55074462,55255457,55442064,55879513,56046089,56046546,56375875,56425059,56613464,56638393,56826882,57089113,57223037,57260692,57387358,57761502,58007120,58077220,58081993,58216417,58338528,58623729,59149689,59352310,59691135,59772246,60043828,60723969,60898205,61020628,61307809,61330008,61352169,61366417,61474215,61638622,62372322,62397249,62823508,63180728,63670544,63690147,63856329,63912790,64119288,64413238,64448862,64480209,64722526,64744985,64915960,65003835,65033140,65081117,65115222,65258010,65572496,65630844,65725377,65914153,66036129,66420406,66450129,66660532,66859513,66878233,67273558,67276977,67365353,67651050,67966228,67999209,68125918,68996259,69337424,69608544,69692664,69732838,69823006,69929044,70209785,70363977,70420468,70434340,70731910,71019262,71060875,71078319,71081169,71222772,71629362,71694969,71865910,72134199,72161120,72211828,72329182,72928685,73030455,73077846,73461049,73626113,73769058,73949446,74287540,74341177,74734337,74876177,75477142,76218793,76530388,76597540,76695348,76728193,77004543,77446612,77693982,77842753,77899152,77986977,78004602,78039768,78289089,78309612,78404247,78647533,78654790,78785633,78831988,78878585,79294569,80911990,80995288,81181260,81363697,81981940,82196889,82509622,82546486,82690193,82745062,82794849,83166310,83926393,83962753,84024484,84125549,84205318,84251742,84521208,84640637,84878292,84979977,85273050,85319705,85369169,85771689,86028286,86239092,86369929,86463177,86593344,86660529,86795764,86921885,87514422,87636546,87666310,87794739,87815833,87919455,87988205,88023737,88442566,88773073,89110804,89145048,89413377,89707209,89902977,90161566,90435748,90647705,90957920,91037044,91062118,91119699,91279895,91307128,91550617,91672075,91917048,91922857,92105014,92534871,92536449,92633649,93119289,93507369,93780752,94004233,94088769,94246054,94278772,94385748,94654302,94976535,95086359,95408737,95513590,96248257,96544006,96884278,97061092,97094388,97322740,97417512,97518484,97520285,97620148,97754086,98378328,99161182,99282157,99282489,99498964,99618340,99799572,99994918,...,46461920682321520305716008717831489775961649473667035510639220534756780635970624864116444277456236266598173412070394236855718013193048142467217733663341600832299601782277935570729180939948795310697223217450213617181279902362204772361613166576465588212564015006098103268181606224849030042483079096363017608417107400659955091005605642500629390098570510461102451140189671747240082103638863515615676760667792760132273895714659255000159588874632754750988249674218986286634683244341699875112950746139185748425365826310319361658108829237128745812188871420495651541289046241694830183380552091988610499732324692496407197237882265554607433090299410450393588551069480303859242804013832068622791383944726579850426826280433503138085389465061664829833153349472605401197658138906800251447864415404166583868794733756001295331786035758164558832735769416252533562614549507481634152626343649016694340601020310626351541328201213684025037760600729785317341901839438308918185358114014277077977286602639495731126598243027518858043695431255098097143265145322195891716097036122480923557616707542152186990158512244699904738087333759618716920662826021943436217061470778220489761202302153862954421068902677802373841213999031903287631298145344374230153476825467866842232530592743802408988866572665898167456866654627176765783061888795402172720776895568647022319917718323095690998015383322406029674770112529390107041032451325168156724672644009805199507613857256930077127940923346716974735567189718685261911369946285532020797332711340612865248984372247739584883020798418692329051640320647296089928687618001165799285835465577564927329069550441605654897722754545144483405313341033914819770567817344653882249944278683130478204724653550772965662713921242083105734019620935344179817402372282255440533869582890718391873729415470336452223579640263761394853795674061412195641957143760731839660367706042723306166415517843249015548225318801729898770502132826543159815254750961362709081855129844422294662977450575276198989540802556633259667169331406136467825579415262412368392223503644794397516825356155525485420985969500633353027784200725401045749169803267800958929432754822242302541572486880169892027454803646347585040096626845088333360248025902203811366690285089469518711317422652683732060489448672485587760314786593593907607833950933534969635343663059661836292385562755417582881681929903259018068498054556051934852906096084098813924206148141064559446468592666032091501742426064262014734266054078027532507211781233947717983588595917664809645760797828495228557573207265463487736824050440178231919114104571582505096090496208543162709806722765565092861414922813587766612832149045744220987374136308130081719771160219452740846918023568051677597904264623907319581508493428291298354422085594099173861896815580427320014652720476686061100418531065804149006731999979609530362398609864125084489376599094868610507039777637378461572076787557386183586352432840984771622731896312456103142338376332350365141364934126803979289526763374753937164110549026645764411473450631330596188858536559931010204956484639590601091965449990034553857758586281848412780789860716530159876604070780083}
19648  75763259729715391123100978430580397106722123012842451882176925104603662: {1389967,1451066,1685858,1740751,2090887,3214892,3484951,3684236,3716287,4025858,4408567,4778252,4983487,5212951,5246636,5422946,5714732,6119546,6351458,6697447,6924751,7491751,7739906,7895372,8050892,8662658,8828012,8892986,8957527,9118185,9243176,9406087,9726064,9741751,10398573,10689836,10855951,10879665,10941822,11116328,11604976,11742127,11941881,12102458,12293647,12505869,12640065,12987176,13010636,13014266,13055598,13281847,13473932,13482736,13921736,14091212,14216525,14377658,14604386,14610573,15168078,15240751,15283706,15324236,15661953,15735866,15789128,16401452,16638458,16863746,16873017,17059830,17323532,17389951,17589273,17630636,17709847,17762769,17763458,18197152,18241567,18704492,19001121,19194127,19720807,19929836,20053869,20086925,20388812,20471796,20559751,21000332,21913207,22005626,22170993,23459767,23927937,23971687,24050252,24104310,24175951,24805385,24888607,25078137,25537658,25699533,25711264,26945096,27205351,27508226,27536397,27726458,27871016,28200751,28335005,28398967,28435065,28893247,28925172,28991887,29684066,29766462,29776957,29854925,29974327,30313233,30330736,30657751,30982857,31266785,31354893,31933185,32060858,32276066,32302807,32393841,32448381,32781425,33123212,33273452,33737047,33903961,34002006,34062064,34122078,34966951,35373452,35523212,35529361,35825910,35904751,36125186,36326465,36370951,37098536,37297951,37317836,37520142,37609466,38214304,38319822,38323865,38511692,38629025,38937128,39337710,39507458,39805017,39855247,40001132,40335713,40426505,40556858,40659585,40754887,40773416,41602658,41647327,41690696,41735853,41811386,41960224,42002287,42267751,42525836,42538510,42644858,42970412,42991092,43080973,43323127,43370224,43562732,43585351,43591758,43804269,43886157,44142585,44198686,44627767,44718458,45188972,45870093,45882465,45916207,45955706,45988638,46221836,46354830,46559409,46664012,46850767,46902033,46982786,47085424,47205252,47386925,47440951,47621265,47692807,47988812,47997933,48027607,48306605,48434230,48511806,48791502,48870572,48941296,49355287,49445152,49536781,49930351,50501887,50756230,50796016,51046212,51553951,51834065,51862658,51894950,52064186,52195327,52245425,52667906,52911367,52971102,53663757,53935351,54325951,54472136,54555149,54559447,55010636,55058958,55283137,55447052,55625796,55684473,55711726,56023207,56064506,56104377,56299065,56457789,56801465,56864310,57145518,57235687,57375934,57535927,57648506,57752150,57967926,58031385,58121076,58725367,59009576,59615546,59751007,59823727,59826065,60007226,60052336,60242793,60655264,60670246,60769300,60834247,60907476,60981081,61191727,61281153,61492785,61547407,61618327,61762658,61900144,62200878,62273940,62317937,62603647,62673487,62694510,62812951,62945233,63140980,63505951,63699458,63885425,64401836,64949865,65592304,65660705,65675167,65874751,66239528,66385773,66385869,66425536,66535351,66549836,66790925,66874144,67318567,67364457,67442765,67558878,67833753,68161758,68237172,68284797,68346727,68478458,68664247,68765873,69279856,69302580,69637662,70039951,70163287,70176866,70739528,70766830,70775647,70870877,71250092,71440927,71575865,71791278,72038167,72156751,72508900,72569527,72596525,72906262,72923160,73326751,73375052,73432616,73442167,73791342,73922752,73956057,74071807,74185351,74519469,74695821,74728728,74833466,75054785,75233412,75470407,75690007,75769176,75853951,76121186,76275785,76662510,76853858,76930351,76932609,77015336,77300287,77562367,77784704,77939838,78001917,78164972,78264429,78529385,78592687,78792846,78856826,78866252,78975910,78996751,79097047,79400066,79581969,79588180,79643527,79696328,79840087,79893737,80149110,80374687,80378097,80427417,80710351,80853127,80931318,80965292,81089647,81144950,81201506,81291425,81324367,81360033,81417751,81753837,81773344,81802892,81965620,82038555,82058158,82108951,82453946,82611693,83163096,83196332,83325665,83355847,83876666,84069819,84169807,84211927,84286697,84711751,84920196,84957785,85141772,85240323,85492384,85601167,85891038,85931816,85973612,86081037,86110351,86642253,86671780,86682751,86820296,86869346,86981407,87010680,87115830,87411305,87507792,87528967,87633836,87707887,88025585,88042925,88048172,88302751,88405567,88436858,88541647,88600172,88644766,88911053,88975951,89028465,89129786,89139751,89204767,89366047,89658369,89683207,89702636,89870047,90065742,90201400,90264785,90336866,90665612,90879847,91023458,91049407,91105351,91243951,91298887,91326247,91461967,91530942,91595887,91968721,91995012,92049026,92457933,92482927,92578687,92811392,92859425,92923552,92995351,93408386,93430951,93556078,93558483,93818636,93992407,94179247,94235262,94393951,94421858,94446007,94771092,94774892,94963696,95176951,95245351,95505816,95545457,95560351,95593292,95595127,95662985,95746925,95869185,95897887,95925751,96071407,96147367,96178932,96189487,96247807,96280061,96311167,96361207,96383527,96391951,96404047,96454807,96499951,96509887,96619857,96673293,96766466,96808265,97083789,97373940,97437128,97549710,97596986,97672833,97887015,98358744,98446266,98539985,98572957,98588858,99630609,99990798,...,61949227576428693740954678290441986367948865964889380680852294046342374181294166485488592369941648355464231216093858982474290684257397523289623644884455467776399469043037247427638907919931727080929630956600284822908373203149606363148817555435287450950085353341464137690908808299798706723310772128484023477889476534213273454674140856667505853464760680614803268186919562329653442804851818020820902347557057013509698527619545673333546118499510339667984332898958648382179577659122266500150600994852247664567154435080425815544145105649504994416251828560660868721718728322259773577840736122651480666309766256661876262983843020739476577453732547267191451401425973738478990405351776091497055178592968773133902435040578004184113852620082219773110871132630140534930210851875733668597152553872222111825059645008001727109048047677552745110314359221670044750152732676642178870168458198688925787468027080835135388437601618245366717014134306380423122535785917745224247144152019036103969715470185994308168797657370025144058260575006797462857686860429594522288129381496641231410155610056202915986878016326266539650783111679491622560883768029257914956081961037627319681603069538483939228091870237069831788285332042537716841730860459165640204635767290489122976707456991736545318488763554530889942488872836235687710749185060536230294369194091529363093223624430794254664020511096541372899693483372520142721376601766890875632896858679740266010151809675906769503921231128955966314089586291580349215159928380709361063110281787483820331979162996986113177361064558256438735520427529728119904916824001554399047780620770086569772092733922140873196963672726859311207084454711886426360757089792871842999925704910840637606299538067697287550285228322777474312026161247125573089869829709673920711826110520957855831639220627115269631439520351681859805060898748549594189276191680975786213823608056964408221887357124332020730967091735639865027336177102057546420339667948483612109140173125896392883969934100368265319387736742177679556225775208181957100772553683216491189631338193059196689100474874033980561314626000844470703712267633868060998893071023734611905910339762989736722096649173559856036606404861796780053462169126784444480330701202938415155587046785959358281756563536911642747319264896647450347086382124791876810445267911379959513791550746215781723180750340556777175575906537678690757997406074735913137208128112131751898941530854752745928624790221376122002323234752349352979021405437370043342949041645263623978118127890219746194347730437993638076764276353951316982432067253570975892152139428776673461453994944724216946408963687420123815219897084783688817109532060992294649832181744173442293028213625936987795890698090735570130539019498543092775344657904388397805896114125465565149195754107236426686203627302248081467224708087738865342309333306146040483198146485500112652502132126491480676053036849837948762769050076514911448469910454646362163642528416608137523117835109800486855153245502405305719369017833005249552147398702194352548631267508440794918478048746574680273275312852787468122620599986712738477011448375797883707719814288706879835472094373444}
19649  76059663343898262882419886559004027745889132706335861259769774057049715: {2176599,2528787,4018615,4605295,4822338,5526354,5972815,6038787,6255271,6558295,7143415,7167378,7667119,7869954,8087779,8134419,8510306,8572098,8838247,9179319,9527187,9664279,9726787,9869215,10063615,10154354,10369987,11035015,11363779,11553970,11609859,11797394,11843058,12076338,12157580,12181519,12993987,13071199,13136167,13242018,13339479,13362295,13492687,13815487,13864764,13895410,14157698,14423827,14506220,14589096,15015559,15800018,15922508,16034754,16233970,16263295,16412733,16674492,16842415,16853420,16996771,17402170,17407464,17487619,17614015,18153687,18852314,19155295,19367587,19480764,19515954,19521399,19583397,19714039,19736410,20210898,20224104,20295127,20501815,20850247,20882604,21012559,21097687,21136818,21566487,21654415,21906579,21939091,22038295,22497356,22746440,22752117,22833778,22925559,22986354,22987987,23085266,23380615,23452364,23576959,23603799,23683692,24272719,24387139,24412519,24602178,24882367,24912295,24957687,25295619,25334828,25410946,25486015,25589745,25985298,26250415,26259679,26385091,26445954,26539394,26645187,26738492,27295728,28056738,28109587,28514947,29388007,29561324,29568559,29689207,29804306,29894754,30062815,30140419,30583218,30707694,31293634,31500498,31903916,31942471,32139080,32461219,32829487,33008439,33043831,33437516,33534727,33681370,34069987,34266044,34599871,34838770,35277754,35676739,35703778,35768227,35773411,36075378,36156465,36479359,36715196,36933538,37307587,37913420,37948946,37991479,38306487,38355199,38566896,38738887,39259426,39528739,39688616,40417644,40858147,41199746,41262339,41310476,41404015,41589687,41591815,41806524,42128647,42267199,42325474,42577580,42684199,42823634,43191788,43264508,43387758,43428727,43772287,44216815,44404015,44446514,44526099,44561287,44649693,44768431,45090067,45276439,45336008,45496104,46373170,46554106,46647295,47215426,47663119,47714098,47767880,48091287,48139615,48414099,48671410,49350439,49684818,49910178,50001415,50026856,50409511,50966770,51003009,51093096,51183117,51334207,51633379,52113370,52304018,52450280,52545794,53060178,53073356,53157295,53284818,53350546,53527507,53679127,53713015,53738865,53948599,54162626,54187779,54192739,54212780,54453415,54790087,54896287,55647804,55976754,56024047,56280213,56414199,56486215,57321456,57393266,57479733,57767538,57777295,57959587,58122344,58330015,58405692,58514876,58771687,58856780,59006565,59131066,59261187,59986015,60001698,60619874,60835287,61088215,61160124,61176620,61318184,61409839,61756099,61806440,61897087,62079212,62403987,62536044,62717079,62940336,63124927,63495020,63788754,63807765,63860098,63924439,63955159,63967287,63997244,64253539,64412114,64455618,64486638,64682408,64745239,65055336,65174947,65344098,65387637,65741839,66236287,66298029,66747679,66930898,67077687,67388419,67783458,67987411,68061616,68090170,68763295,68933559,68982957,69308815,69332754,69532245,69663127,69734287,69996018,70302559,70474179,70628136,70807878,71529106,71548807,71551676,71983218,71991266,72651345,72737719,72767709,72966787,73187253,73305858,73411944,73761970,74038711,74050471,74076178,74167728,74245964,74607538,74805836,75065420,75190339,75277052,75380386,75535879,75819080,75961625,75967759,76134345,76194024,76490258,76569318,76621666,77290568,77375180,77405959,77494768,77793987,77842425,78096279,78926225,79001859,79444927,79456653,79505114,79613599,80063299,80290771,80323724,80502295,80778487,81209968,81308108,81708204,81990380,82366471,82515954,82518098,82588437,82698727,82799410,82934504,83031920,83093234,83170578,83187295,83438694,83567589,83592680,83685139,84096759,84134191,84854407,84977338,85254751,85257487,85296465,85550887,85718277,86063901,86263087,86385154,86472759,86599820,86628225,86951889,87012679,87181614,88032799,88054531,88424410,88451618,88514364,88514492,88580371,88615039,88917379,89062615,89423319,89477906,89819276,89927311,90010839,90078504,90445004,90636125,90642979,90882344,90982896,91005369,91046396,91060387,91153950,91361214,91718815,91790770,91973239,92014519,92403440,92418451,92571247,92643987,92850216,93301317,93410910,94041765,94111826,94598359,94711470,95525779,95549187,95721704,96269170,96422887,96602754,96894194,97230880,97554938,97565599,97706215,98293699,98334787,98388456,98582815,98608076,99024674,99359292,99459778,99485225,99517987,99594428,99620410,99638304,99824754,...,92923841364643040611432017435662979551923298947334071021278441069513561271941249728232888554912472533196346824140788473711436026386096284934435467326683201664599203564555871141458361879897590621394446434900427234362559804724409544723226333152931176425128030012196206536363212449698060084966158192726035216834214801319910182011211285001258780197141020922204902280379343494480164207277727031231353521335585520264547791429318510000319177749265509501976499348437972573269366488683399750225901492278371496850731652620638723316217658474257491624377742840991303082578092483389660366761104183977220999464649384992814394475764531109214866180598820900787177102138960607718485608027664137245582767889453159700853652560867006276170778930123329659666306698945210802395316277813600502895728830808333167737589467512002590663572071516329117665471538832505067125229099014963268305252687298033388681202040621252703082656402427368050075521201459570634683803678876617836370716228028554155954573205278991462253196486055037716087390862510196194286530290644391783432194072244961847115233415084304373980317024489399809476174667519237433841325652043886872434122941556440979522404604307725908842137805355604747682427998063806575262596290688748460306953650935733684465061185487604817977733145331796334913733309254353531566123777590804345441553791137294044639835436646191381996030766644812059349540225058780214082064902650336313449345288019610399015227714513860154255881846693433949471134379437370523822739892571064041594665422681225730497968744495479169766041596837384658103280641294592179857375236002331598571670931155129854658139100883211309795445509090288966810626682067829639541135634689307764499888557366260956409449307101545931325427842484166211468039241870688359634804744564510881067739165781436783747458830940672904447159280527522789707591348122824391283914287521463679320735412085446612332831035686498031096450637603459797541004265653086319630509501922725418163710259688844589325954901150552397979081605113266519334338662812272935651158830524824736784447007289588795033650712311050970841971939001266706055568401450802091498339606535601917858865509644484605083144973760339784054909607292695170080193253690176666720496051804407622733380570178939037422634845305367464120978897344971175520629573187187815215667901867069939270687326119323672584771125510835165763363859806518036136996109112103869705812192168197627848412296282129118892937185332064183003484852128524029468532108156055065014423562467895435967177191835329619291521595656990457115146414530926975473648100880356463838228209143165010192180992417086325419613445531130185722829845627175533225664298091488441974748272616260163439542320438905481693836047136103355195808529247814639163016986856582596708844171188198347723793631160854640029305440953372122200837062131608298013463999959219060724797219728250168978753198189737221014079555274756923144153575114772367172704865681969543245463792624912206284676752664700730282729868253607958579053526749507874328221098053291528822946901262661192377717073119862020409912969279181202183930899980069107715517172563696825561579721433060319753208141560166}
19650  76357218337212104843817300145484885539648008475046859431830664981301399: {803969,921341,1038641,1312061,1429121,1546109,1896641,2091101,2129969,2779934,2902132,2905649,3253661,3369521,3371716,3481502,3485309,3523889,3755201,4181774,4332221,4409021,4447409,4524161,5098781,5213489,5251709,5366321,6128561,6394589,6429784,6736049,6969902,7233507,7368472,7379261,7432574,7718849,8051716,8057789,8283389,8289531,8433629,8508701,8817134,8958461,9332381,9556504,9742769,9966974,10425902,10493272,10745981,10751067,10845892,10857089,10894109,11005121,11411549,11429464,11669681,11780189,11804931,12184769,12239092,12702916,12765459,12844721,12858147,13100669,13394894,13849502,13866161,13975229,14193149,14983502,15196975,15231531,15278429,15479812,15790744,16033841,16101784,16105601,16213181,16463921,16999901,17213789,17325316,17330955,17534081,17656024,17696091,17764587,17785972,17915054,18114507,18132775,18137309,18236370,18486352,18812174,18879281,19231361,19452128,19483502,19757981,19863027,19903135,20352641,20561969,20797146,20843115,20910209,21066775,21236547,21379672,21711902,21759330,21883644,22019201,22232656,22432961,22536221,22776881,22982849,23209952,23484254,23496509,23564861,23700027,23803841,23883762,24052131,24204916,24212609,24350955,24587294,24891329,25011738,25229489,25280130,25533149,25974352,26004221,26021272,26028532,26103255,26104961,26111196,26205629,26406749,26540669,26563694,26908289,26947864,26965472,27607421,27740189,27843472,28104641,28121695,28182424,28278471,28433050,28755316,28896449,28995101,29027969,29208772,29221146,29273931,29315455,29487281,29604615,29912381,30010289,30316347,30336156,30401201,30481502,30567412,30648472,30855809,31179569,31276541,31323906,31470269,31471732,31578256,31668535,31705227,31921181,32306429,32498621,32802904,33105329,33200861,33276916,33423115,33550529,33727492,33740849,33746034,33930881,34119660,34250667,34479531,34627899,34647064,34727539,34779902,35178546,35190401,35261272,35419694,35525538,35526916,35721821,36126641,36375089,36394304,36483134,36561089,36839549,36903267,36951655,37024829,37332989,37408984,37486769,37671041,37793729,38002242,38069309,38116419,38388254,38496701,38977947,39407261,39441614,39497921,39668931,39669007,39809091,39859672,39879895,40040369,40107738,40173850,40400561,40669949,40759601,40777624,40943592,41119502,41296001,41563229,41796895,42000664,42007169,42085107,42095741,42272669,42390461,42832555,43503101,43619549,43706801,43773499,43826414,44011252,44341986,44459969,44575361,44633009,44706459,44842131,45081091,45150401,45236381,45350909,45579581,45864701,45874827,45893995,45950081,46035389,46061541,46177409,46460849,46715261,46919534,46940451,47250747,47391775,47446589,47669479,47855874,47943374,48100504,48208620,48351902,48394781,48616541,48699569,49361201,49610770,49777214,49936349,49963649,50156274,50208989,50522055,50857051,51075316,51076061,51156929,51399066,51422528,51587009,51638095,52148381,52228289,52258155,52679741,52864961,52916631,53023409,53221975,53555667,53653411,53890192,53968049,53989735,54080635,54113067,54358589,54410702,55016452,55072794,55400307,55452916,55672961,55742032,55979201,56030129,56055581,56106461,56401502,56597107,56664029,56670010,56797934,56870130,56923419,57016829,57117341,57267869,57543089,57568061,57692801,57786494,57850344,57983774,57991361,58313501,58511069,58732721,58889139,58904669,59345021,59368132,59532924,59553914,59709850,59758529,59855489,59948654,60626466,60626561,60661472,60794141,60865841,60985181,61151921,61294529,61315502,61555229,61626161,61649789,61697021,61799619,61965714,62214461,62471729,62533570,62611649,62634941,62681501,62709786,62844209,63168449,63488211,63651869,63743549,63866370,64121716,64200029,64235451,64359041,64404401,64474267,64552132,64605614,64630721,64787682,64896762,65013629,65081637,65550269,65562850,65705921,65883329,66246424,66341695,66412481,66546904,66669771,66697181,66806321,67002269,67197569,67349021,67474094,67629247,67650749,67715201,67765975,67779581,67807922,68004012,68124128,68244156,68313281,68376989,68694449,68884061,69198641,69559755,69615281,69649459,69831159,69933902,70295741,70479809,70746904,70823139,70866269,71046424,71058722,71108861,71269949,71571147,71651820,71809502,71988509,72250372,72304541,72363569,72461789,72567691,72598961,72638081,72652930,72741902,72774749,72930461,73007115,73143595,73182401,73356029,73452209,73471421,73508347,73570975,73648471,73815869,74081981,74195549,74197072,74214449,74271101,74327681,74527227,74595902,74635672,74646941,74865267,74870909,75038129,75040284,75218932,75389021,75425789,75700529,75882689,76082141,76136369,76262621,76428608,76450155,76470775,76478141,76639644,76647730,76941149,77011901,77023384,77258050,77328701,77599015,77625521,77833649,77874256,77885501,78170055,78365981,78417089,78456027,78675420,78818691,79008029,79014916,79024769,79108349,79125041,79368775,79374461,79522051,79590267,79610034,79654961,79710494,79818881,79867901,79916849,79927227,79996555,80002264,80025819,80257469,80498609,80671426,80674301,80737949,80817329,80853010,80880689,81113716,81243939,81268759,81319170,81336221,81429629,81509774,81538241,81546832,81754289,82181681,82302641,82453121,82751681,83032349,83120381,83193521,83205316,83294654,83381392,83382749,83471706,83599409,83622772,83756491,83885489,83920448,83965131,84004574,84182429,84266621,84364481,84475841,84517469,84535502,84943409,85051672,85077020,85289716,85294721,85415069,85667009,85785341,85811549,85940824,85982184,86089899,86161946,86175101,86646254,86651307,86708669,86740448,86821169,86970161,87125464,87142529,87170702,87183516,87542621,87554609,87608538,87626369,87772314,87792689,88015901,88039229,88247741,88285170,88328129,88397372,88499069,88533041,88623281,88696599,88768829,89121341,89153969,89255534,89423069,89436916,89439595,89518721,89603201,89708081,89791409,89832881,90002547,90190301,90260609,90377944,90400049,90498689,90703229,90929811,91064381,91073729,91157501,91295681,91313969,91350449,91477121,91611101,91740186,91752029,91764930,91769501,91832414,91882289,91911412,91924987,91933889,91976669,91977276,92086961,92112221,92129021,92187569,92237441,92443672,92498561,92522621,92546609,92696861,92709660,92720321,92807455,92851901,92897789,92950961,93011249,93018749,93118818,93174401,93261761,93328024,93390641,93507295,93558449,93633821,93701534,93714941,93761729,93781661,93804066,93821309,93831775,93965572,94096315,94170848,94195841,94202779,94292609,94393181,94410504,94419871,94433921,94468529,94773850,94777649,94871681,94881902,94937981,94983089,95085821,95142941,95180381,95212721,95242530,95249201,95294081,95355569,95368541,95385614,95398529,95444861,95486141,95518589,95601329,95683131,95749169,95787581,95790147,95848349,95868029,95919101,95928449,95977624,95991869,95995866,96055214,96057281,96076349,96105521,96123581,96165809,96234689,96247601,96274589,96292481,96304049,96329921,96342269,96347441,96352541,96381629,96406721,96419069,96432029,96448829,96453341,96455549,96485681,96497501,96508721,96519389,96519809,96523901,96524849,96527261,96529469,96530429,96530561,96613210,96618171,96683427,96718975,96729957,96868460,97023612,97583004,97741144,97882592,98016147,98710574,98890304,99073562,99611551,99860702,...,139385762046964560917148026153494469327884948421001106531917661604270341907911874592349332832368708799794520236211182710567154039579144427401653200990024802496898805346833806712187542819846385932091669652350640851543839707086614317084839499729396764637692045018294309804544818674547090127449237289089052825251322201979865273016816927501888170295711531383307353420569015241720246310916590546847030282003378280396821687143977765000478766623898264252964749022656958859904049733025099625338852238417557245276097478930958084974326487711386237436566614261486954623867138725084490550141656275965831499196974077489221591713646796663822299270898231351180765653208440911577728412041496205868374151834179739551280478841300509414256168395184994489499460048417816203592974416720400754343593246212499751606384201268003885995358107274493676498207308248757600687843648522444902457879030947050083021803060931879054623984603641052075113281802189355952025705518314926754556074342042831233931859807918487193379794729082556574131086293765294291429795435966587675148291108367442770672850122626456560970475536734099714214262001278856150761988478065830308651184412334661469283606906461588863263206708033407121523641997095709862893894436033122690460430476403600526697591778231407226966599717997694502370599963881530297349185666386206518162330686705941066959753154969287072994046149967218089024310337588170321123097353975504470174017932029415598522841571770790231383822770040150924206701569156055785734109838856596062391998134021838595746953116743218754649062395256076987154920961941888269786062854003497397857506396732694781987208651324816964693168263635433450215940023101744459311703452033961646749832836049391434614173960652318896988141763726249317202058862806032539452207116846766321601608748672155175621188246411009356670738920791284184561387022184236586925871431282195518981103118128169918499246553529747046644675956405189696311506398479629479445764252884088127245565389533266883988932351725828596968622407669899779001507994218409403476738245787237105176670510934383192550476068466576456262957908501900059083352602176203137247509409803402876788298264466726907624717460640509676082364410939042755120289880535265000080744077706611434100070855268408556133952267958051196181468346017456763280944359780781722823501852800604908906030989178985508877156688266252748645045789709777054205494163668155804558718288252296441772618444423193678339405777998096274505227278192786044202798162234082597521635343701843153950765787752994428937282393485485685672719621796390463210472151320534695757342313714747515288271488625629488129420168296695278584244768440763299838496447137232662962122408924390245159313480658358222540754070704155032793712793871721958744525480284873895063266256782297521585690446741281960043958161430058183301255593197412447020195999938828591087195829592375253468129797284605831521119332912135384716230362672158550759057298522954314868195688937368309427015128997051095424094802380411937868580290124261811492331647079937293234420351893991788566575609679793030614869453918771803275896349970103661573275758845545238342369582149590479629812212340249}
19651  76655929150446413242262636788233395948312811848020605366379880031836521: {3627665,4169901,4214645,4353198,5057574,5222253,5626061,6272661,6447413,6686669,7392593,7978421,8037230,8361941,8569133,9181613,9210590,9269381,9644676,10000781,10064645,10330781,10445201,10454853,10801253,11052708,11148861,11945630,12077574,12326513,12510542,13116590,13225701,13557365,13816901,13972661,14089061,14286830,14334756,14950461,15298865,15334238,15449021,15524561,15638853,15739908,15878645,16175558,16268838,17020612,17046341,17144196,17676494,18358638,18707213,19054374,19328558,19349765,19453574,19738430,20087093,20092341,20127230,20308708,20739974,20774253,20852381,21656645,22070030,22232465,22461701,22475253,22682789,22727558,22768613,23107940,23219718,23417669,23579381,23594788,23686116,24152676,24315160,24363038,24641201,24659621,25987974,26096141,26142398,26272334,26484036,26678958,26724590,26800913,26817413,26872581,26985374,27128333,27167621,27354555,27630974,27729528,27790820,28218261,28315396,28702541,28847654,29012440,29178192,29225253,29349053,29817029,30031118,30256145,30316181,30853613,31137461,31195719,31600036,31845016,32069508,32371229,32467940,32526590,32535665,32567853,32638995,32732861,32825466,33047213,33220421,33348984,33647141,33684830,33706840,33993542,34198781,34731281,34804340,34814928,34877213,34922261,34975238,35226381,35228030,35680421,35825643,35944145,36307374,36510965,36750581,36880941,36986069,37479989,37517607,37704628,37750193,37920195,38209265,38310590,38735174,38961528,39031908,39042798,39166794,39339665,39428078,39472820,39845541,40421796,40448208,40590254,40611581,41003630,41285981,41596145,41700494,41765208,42025118,42087941,42115613,42159365,42195374,42271541,42273636,42556349,42649575,43132974,43308830,43573661,43813158,43831719,43878182,44076590,44131121,44408645,44773013,44994712,45094709,45492880,45504234,45667556,45722253,45782321,45851118,45972708,45975974,46170532,46761230,46904728,46985859,47153918,47207598,47367384,47629901,47855909,48286901,48537989,48545438,48774278,48825038,49204356,49764734,49788401,49824590,49915374,50012861,50591238,50619051,50669656,50821892,50972030,51179490,51339461,51970596,51984113,52169853,52500830,52519358,52767819,52770182,52780241,52891908,53078788,53129541,53288261,53288307,53290374,53476984,53684621,53886029,53954141,54591456,54724701,55014065,55156373,56029781,56113476,56219174,56297621,56962421,57003363,57029894,57582381,57965621,58228541,58776014,59122648,59137118,59162421,59378414,59608612,59789508,59979701,60125630,60161607,60260775,60280838,60295493,61166436,61415388,61679253,61903541,62165621,62306333,62587268,63000996,63259781,63260909,63785921,63807832,63844145,63884942,64278160,64751921,64922438,65287541,65306213,65658974,65739621,66016878,66087662,66512979,66875032,67010861,67069454,67362740,67395461,67643621,68139974,68333021,68532088,68770565,69199742,69316145,69354581,69670301,69677540,70001981,70292069,70304069,70309781,70379301,70551389,70555508,71353478,71407556,71536454,71546822,71783811,71915061,72150756,72312930,72527853,72958718,73430392,73476173,73867076,74210165,74416155,74420213,74615174,74665821,75198221,75234411,75826840,75897892,75982958,76234781,76612974,76710398,77098599,77133792,77228213,77477774,77805101,77858789,78518852,78535973,79052501,79057478,79080701,79144829,79377232,80152145,80690165,80835288,80888213,80957861,81533681,81616053,81662021,81716294,82378061,82399492,82524678,82609191,82620952,82744301,82808030,83179374,83183630,83613048,83980421,84257294,84422453,84534398,84557681,84602253,84650948,84718901,85005015,85155160,85196901,85263509,85305195,85368398,85523501,85647268,86383576,86520269,86529016,86679741,86775516,86857454,86975661,87149969,87514193,87544574,88433630,88791389,88808030,88893028,88926533,88932413,89003189,89052198,89122574,89299386,89330871,89536862,89564775,89724101,89922981,89936549,90180134,90312965,90552878,90672016,90939699,90992208,91134389,91482941,91973253,92427989,92746340,92948571,93108212,93294590,93800355,94023665,94064679,94230701,94404341,94430852,94434101,94726421,94889093,95326238,95428196,95535760,95799555,96182574,96268613,96279230,96432941,96828198,96908421,97032341,97181523,97342193,97342820,97345143,98316221,98344275,98700878,98728913,98763941,98768645,99369636,99820356,...,185847682729286081222864034871325959103846597894668142042556882139027122543882499456465777109824945066392693648281576947422872052772192569868870934653366403329198407129111742282916723759795181242788892869800854468725119609448819089446452666305862352850256060024392413072726424899396120169932316385452070433668429602639820364022422570002517560394282041844409804560758686988960328414555454062462707042671171040529095582858637020000638355498531019003952998696875945146538732977366799500451802984556742993701463305241277446632435316948514983248755485681982606165156184966779320733522208367954441998929298769985628788951529062218429732361197641801574354204277921215436971216055328274491165535778906319401707305121734012552341557860246659319332613397890421604790632555627201005791457661616666335475178935024005181327144143032658235330943077665010134250458198029926536610505374596066777362404081242505406165312804854736100151042402919141269367607357753235672741432456057108311909146410557982924506392972110075432174781725020392388573060581288783566864388144489923694230466830168608747960634048978799618952349335038474867682651304087773744868245883112881959044809208615451817684275610711209495364855996127613150525192581377496920613907301871467368930122370975209635955466290663592669827466618508707063132247555181608690883107582274588089279670873292382763992061533289624118699080450117560428164129805300672626898690576039220798030455429027720308511763693386867898942268758874741047645479785142128083189330845362451460995937488990958339532083193674769316206561282589184359714750472004663197143341862310259709316278201766422619590891018180577933621253364135659279082271269378615528999777114732521912818898614203091862650855684968332422936078483741376719269609489129021762135478331562873567494917661881345808894318561055045579415182696245648782567828575042927358641470824170893224665662071372996062192901275206919595082008531306172639261019003845450836327420519377689178651909802301104795958163210226533038668677325624545871302317661049649473568894014579177590067301424622101941683943878002533412111136802901604182996679213071203835717731019288969210166289947520679568109819214585390340160386507380353333440992103608815245466761140357878074845269690610734928241957794689942351041259146374375630431335803734139878541374652238647345169542251021670331526727719613036072273992218224207739411624384336395255696824592564258237785874370664128366006969704257048058937064216312110130028847124935790871934354383670659238583043191313980914230292829061853950947296201760712927676456418286330020384361984834172650839226891062260371445659691254351066451328596182976883949496545232520326879084640877810963387672094272206710391617058495629278326033973713165193417688342376396695447587262321709280058610881906744244401674124263216596026927999918438121449594439456500337957506396379474442028159110549513846288307150229544734345409731363939086490927585249824412569353505329401460565459736507215917158107053499015748656442196106583057645893802525322384755434146239724040819825938558362404367861799960138215431034345127393651123159442866120639506416283120332}
19652  76955800241396837386635830967915771326363426728659735988732554905042463: {843187,1607938,1842682,2077282,2130187,2624122,2858242,2944651,3092218,3176707,3524251,3793282,4102051,4182202,4259938,4332667,4447867,5252251,5559868,5804264,5811298,6507322,6529797,6739042,6743432,6963004,6970618,7047778,7304467,7510402,7586361,8096251,8321827,8363548,8434507,8664442,8818042,8894818,9048322,10197562,10426978,10503418,10732642,10895251,11449651,12055845,12222787,12257122,12772867,12789178,12859568,13472098,13815885,13867627,13939804,13976707,14467014,14736944,14758522,14865148,15437698,16103432,16115578,16143187,16566778,16579062,16867258,17017402,17634268,17916922,17918445,18116361,18493051,18664762,18765813,19113008,19485538,19674885,19865227,19933948,20851804,20912467,20986544,21275765,21430245,21491962,21502134,21641251,21691784,21714178,21788218,22010242,22159651,22366507,22823098,22858928,23001357,23339362,23560378,23609862,24263337,24369538,24403257,24478184,25385885,25405832,25530918,25535947,25689442,25716294,25939867,26040667,26201338,26443147,26514741,26744251,26789788,26944627,27537957,27699004,27732322,27743251,27864389,27950458,28386298,28581561,28884925,28992837,29031187,29180361,29493485,29607645,29915707,29967004,30190845,30393950,30404587,30463062,30556858,30891667,30959624,31109961,31183051,31581488,31956907,32067682,32149651,32203568,32211202,32426362,32927842,33105045,33109051,33999802,34091337,34427578,34650632,34661910,34738525,34829577,35068162,35194387,35312048,35392182,35394245,35529174,35571944,35757067,35830108,36130747,36229014,36265550,36274618,36472740,36544557,36596227,36972704,37059907,37521787,37624348,37758562,37798051,38440147,38462722,38714251,38904256,38967004,38981961,39169651,39213597,39370373,39408501,39442027,39500045,39515962,39726054,39804187,39806270,40018437,40075051,40086885,40478061,40584925,40705282,41041637,41123938,41446461,41594292,41686230,41820418,42133550,42473094,42759344,43271481,43423804,43505425,43518660,43767288,44038402,44335949,44465312,44865922,45046677,45072442,45184387,45356251,45553762,45613507,45965698,46211251,46419904,46466347,46792361,46968508,46993018,47129722,47130785,47400054,47607682,47767524,48104262,48409832,48425218,48701910,48789885,49174588,49238199,49312147,49341025,49782658,49969651,50023476,50215027,50458978,50527245,50560260,50622547,50990313,51028267,51066298,51732317,51948704,52008442,52042544,52057064,52206510,52209922,52222392,52411258,52462857,52813498,52842045,53081338,53127388,53277653,53582251,53816578,53895728,53930944,54131107,54209227,54461061,55214842,55480378,55686944,55831853,56062507,56138827,56209282,56243390,56336657,56364848,56556942,56671051,56866100,57049051,57084445,57465885,57510632,57575227,57713165,57792898,57990202,58055938,58102761,58417544,58442292,58515653,58547862,58564197,58630910,58750191,58974562,59142117,59209230,59425627,59498707,59824762,59965577,60020578,60153187,60632694,60672312,60802402,60885381,60963004,61134824,61296944,61505445,61657627,61711618,62359138,62550741,62553082,62642947,62647812,62940538,62943464,63037677,63156512,63199651,63293061,63337070,63410454,63527365,63682987,63842362,63889051,64251593,64435387,64612858,64699461,64909651,64963245,64997242,65581051,65605808,65719737,65817273,66114885,66210658,66348485,66401722,66443107,66553832,66705907,66846230,67101058,67454984,67481698,67492068,67861762,68239320,68256351,68322307,68501334,68776677,68830051,68959062,68963961,69145051,69255798,69294128,69455078,69458251,69559804,69645307,70141845,70357092,70380802,70509667,70522544,70570867,70730877,70811397,70839388,71051076,71053832,71118427,71299651,71443642,71600251,72253282,72293333,72750178,72788608,72818157,72959827,72966268,73122178,73161417,73237557,73250347,73481467,73679098,73806534,73825987,73903310,74049658,74224651,74394427,74510765,74647101,74665978,74736885,74817968,74873061,74973538,75342082,75454627,75585629,75587458,75712889,75886857,76004484,76138618,76196861,76232838,76458045,76769235,76776508,76993402,77234251,77653867,77843513,77861947,77955894,78234085,78428227,78530251,78751245,78779037,78814522,78883228,78885067,78995842,79036051,79136347,79155273,79337862,79338014,79435507,79618182,79719344,79759790,79928347,79935561,80080738,80172067,80215476,80347700,80510251,80801122,81316867,81339898,81519202,81555248,81887184,82239004,82312997,82592002,83126458,83482051,83593790,83912251,84001328,84014338,84170214,84191482,84203425,84328761,84418987,84544051,84545338,84780922,85280827,85361251,85544841,85665110,85837747,86265427,86608867,86646667,86873501,86983627,87006202,87096925,87168307,87239098,87413602,87532267,87546998,87568267,87652828,87818251,88022504,88164021,88194385,88273147,88683972,88705677,88782907,88919938,88949227,89067621,89150722,89259445,89266018,89412918,89684262,89753827,89878387,90162182,90188445,90214987,90300802,90421257,90424651,90472762,90701818,90718051,91088707,91159162,91608547,91729402,91749654,91787990,91900162,91949251,92026147,92070778,92123082,92333845,92354818,92400907,92736067,92878373,92921698,92966827,93034651,93079507,93427987,93430522,93574651,93778051,93839068,93880902,93935587,94126027,94380547,94501494,94783550,94847251,94872365,94893178,94893907,95000251,95311507,95338958,95416051,95540251,95622907,95711748,95734867,95745667,95767051,95827413,95869651,95886748,95889307,96044897,96094651,96157147,96201008,96255427,96293227,96322747,96417240,96451051,96504907,96516787,96528667,96539251,96547027,96548251,96703804,96789562,97233082,97383657,97399138,98148565,98488461,98722402,99025317,99131493,99221540,99554428,99872698,99927298,...,278771524093929121834296052306988938655769896842002213063835323208540683815823749184698665664737417599589040472422365421134308079158288854803306401980049604993797610693667613424375085639692771864183339304701281703087679414173228634169678999458793529275384090036588619609089637349094180254898474578178105650502644403959730546033633855003776340591423062766614706841138030483440492621833181093694060564006756560793643374287955530000957533247796528505929498045313917719808099466050199250677704476835114490552194957861916169948652975422772474873133228522973909247734277450168981100283312551931662998393948154978443183427293593327644598541796462702361531306416881823155456824082992411736748303668359479102560957682601018828512336790369988978998920096835632407185948833440801508687186492424999503212768402536007771990716214548987352996414616497515201375687297044889804915758061894100166043606121863758109247969207282104150226563604378711904051411036629853509112148684085662467863719615836974386759589458165113148262172587530588582859590871933175350296582216734885541345700245252913121940951073468199428428524002557712301523976956131660617302368824669322938567213812923177726526413416066814243047283994191419725787788872066245380920860952807201053395183556462814453933199435995389004741199927763060594698371332772413036324661373411882133919506309938574145988092299934436178048620675176340642246194707951008940348035864058831197045683143541580462767645540080301848413403138312111571468219677713192124783996268043677191493906233486437509298124790512153974309841923883776539572125708006994795715012793465389563974417302649633929386336527270866900431880046203488918623406904067923293499665672098782869228347921304637793976283527452498634404117725612065078904414233693532643203217497344310351242376492822018713341477841582568369122774044368473173851742862564391037962206236256339836998493107059494093289351912810379392623012796959258958891528505768176254491130779066533767977864703451657193937244815339799558003015988436818806953476491574474210353341021868766385100952136933152912525915817003800118166705204352406274495018819606805753576596528933453815249434921281019352164728821878085510240579761070530000161488155413222868200141710536817112267904535916102392362936692034913526561888719561563445647003705601209817812061978357971017754313376532505497290091579419554108410988327336311609117436576504592883545236888846387356678811555996192549010454556385572088405596324468165195043270687403686307901531575505988857874564786970971371345439243592780926420944302641069391514684627429495030576542977251258976258840336593390557168489536881526599676992894274465325924244817848780490318626961316716445081508141408310065587425587743443917489050960569747790126532513564595043171380893482563920087916322860116366602511186394824894040391999877657182174391659184750506936259594569211663042238665824270769432460725344317101518114597045908629736391377874736618854030257994102190848189604760823875737160580248523622984663294159874586468840703787983577133151219359586061229738907837543606551792699940207323146551517691090476684739164299180959259624424680498}
19653  77256836084929842274468234169689773647035583102651681425517684505887060: {2411907,2764023,3115923,3936183,4287363,4638327,5078731,5689923,5900503,6273303,6389907,6949835,7255330,7902427,8339802,8429290,8703755,8706396,8716947,9429043,9760983,10108563,10115148,10444506,10454435,10455927,10571667,10954723,11252122,11265603,11546167,12545322,12709367,12894826,12996663,13227063,13342227,13373338,13572483,13776691,14090503,14785186,15284951,15296343,15640467,15755127,15956842,16074460,16098963,16723882,17138266,17424755,17644283,17857367,18363226,18385683,18421180,18538762,18581435,18980311,19142387,19183767,19289352,19635731,20001562,20129290,20208147,20661562,20890402,20909706,21169223,21418411,21602506,21700521,21710051,22042835,22105416,22137783,22230103,22297722,23156547,23284187,23864363,23891260,24155148,24173367,24643723,24653026,24850167,24868593,24917435,25021084,25300887,25526103,26064755,26233180,26451402,26557847,26683451,26875383,27089671,27114730,27589283,27633802,27675427,27945322,27997143,28178122,28573660,28669512,29228307,29900922,30080627,30319303,30597730,30668476,30898042,31049122,31125451,31277706,31479816,31757290,31939847,32237943,32253201,32351116,32537676,32571267,32682327,32898851,33015363,33487235,34041224,34092682,34234647,34288392,34623755,35009043,35238307,35340567,35352988,35414793,36554307,36717276,37049507,37414426,37458755,38108748,38222167,38256907,38296377,38322647,38534163,38574441,38657116,38699530,38907148,39302007,39476860,39764803,40000427,40174186,40184682,40254460,40259627,40617416,41271763,41479948,41548506,41598483,41704762,41925687,42358603,42501707,42579447,43205831,43313290,44140060,44464930,44787635,44923402,44950506,45365578,45455116,45537226,45549931,45590925,45694593,45835287,46215880,46439436,46835338,47030435,47035187,47070391,47158762,47189576,47298707,47372232,47860807,48101523,48305352,48316803,48630320,48639543,48706523,48708755,48726076,48792523,49282402,49319242,49391763,50293867,50321803,50999703,51010487,51115351,51641367,51975948,51992865,52192282,52284796,52544668,52602243,52785643,52968072,53088273,53293747,53293761,53357916,53449180,53492971,53538551,53601826,53634826,53745162,53970748,54256666,54279755,54335242,54343521,54398325,54411927,54709110,55075531,55261948,55272491,55459056,55581640,55896727,56063447,56289883,56303383,56436522,56630792,56637843,56883851,57240683,57324707,57405082,57694083,57695308,58024880,58099891,58234603,58356384,58450506,58698106,58710635,59023111,59207651,59273943,59589081,59634058,59709405,60062236,60301687,60512290,60632362,61057923,61104707,61468235,61685907,61707226,62172103,62274922,62391438,62529345,62730627,63200072,63200325,63690032,63709641,64139016,64742458,64935880,65053180,65071330,65135706,65277990,65465722,65650932,66057603,66094426,66346807,66409235,66440842,66697968,67294282,67298883,67369660,67413680,67608663,67987084,68330643,68397562,68948547,69462562,69608680,69629856,69754426,69844522,69950476,70452762,70456060,70489527,70694583,71082625,71100081,71290147,71360842,71411523,71651286,71888290,72156393,72614748,72637827,72674851,73021930,73052865,73501162,73761882,73972138,74673987,74757383,74899187,74959978,75035214,75409256,75500386,75688467,75840390,76203755,76418530,76599447,76621180,76855283,77019691,77158003,77419403,77470348,77866807,77923056,78012663,78063816,78085596,78309765,78314883,78333588,78616887,78671731,78679330,78856156,78945640,79220247,79622007,79691082,80724867,80843592,80896416,81138167,81180508,81223162,82007260,82571962,82822263,83086627,83192290,83220567,83400988,83530416,83952247,84050236,84175882,84231226,84313923,84318730,84365085,84390748,84543082,84547272,84666851,84835413,85112698,85299150,86265948,86396503,86616683,86617660,86689347,86949755,86985303,87083907,87147322,87626316,87663438,87756364,87821793,87946365,88050923,88153180,88262242,88461843,88549235,88813845,88817290,89381803,89546026,89737143,89989424,90030867,90189418,90949041,90985760,91008468,91079351,91143751,91203603,91207835,91335112,91401187,91444506,91564642,91578811,91702236,91945416,91951483,91951948,92341064,92567427,93425683,93522460,93538707,93809456,93829623,93971718,94230251,94307836,94410807,94415196,94734768,95005605,95115681,95259802,95711818,95763543,95970635,96278791,96573802,96919287,97042603,97075978,97090876,97266851,97495863,97548556,97650076,98408712,98604035,99315987,99529468,99576802,99602583,99649180,99830748,...,418157286140893682751444078460483407983654845263003319595752984812811025723735623777047998497106126399383560708633548131701462118737433282204959602970074407490696416040501420136562628459539157796275008957051922554631519121259842951254518499188190293913076135054882929413634456023641270382347711867267158475753966605939595819050450782505664510887134594149922060261707045725160738932749771640541090846010134841190465061431933295001436299871694792758894247067970876579712149199075298876016556715252671735828292436792874254922979463134158712309699842784460863871601416175253471650424968827897494497590922232467664775140940389991466897812694694053542296959625322734733185236124488617605122455502539218653841436523901528242768505185554983468498380145253448610778923250161202263030779738637499254819152603804011657986074321823481029494621924746272802063530945567334707373637092841150249065409182795637163871953810923156225339845406568067856077116554944780263668223026128493701795579423755461580139384187247669722393258881295882874289386307899763025444873325102328312018550367879369682911426610202299142642786003836568452285965434197490925953553237003984407850820719384766589789620124100221364570925991287129588681683308099368071381291429210801580092775334694221680899799153993083507111799891644590892047556999158619554486992060117823200879259464907861218982138449901654267072931012764510963369292061926513410522053796088246795568524715312370694151468310120452772620104707468167357202329516569788187175994402065515787240859350229656263947187185768230961464762885825664809358188562010492193572519190198084345961625953974450894079504790906300350647820069305233377935110356101884940249498508148174303842521881956956690964425291178747951606176588418097618356621350540298964804826246016465526863564739233028070012216762373852553684161066552709760777614293846586556943309354384509755497739660589241139934027869215569088934519195438888438337292758652264381736696168599800651966797055177485790905867223009699337004523982655228210430214737361711315530011532803149577651428205399729368788873725505700177250057806528609411742528229410208630364894793400180722874152381921529028247093232817128265360869641605795000242232233119834302300212565805225668401856803874153588544405038052370289842833079342345168470505558401814726718092967536956526631470064798758245935137369129331162616482491004467413676154864756889325317855333269581035018217333994288823515681834578358132608394486702247792564906031105529461852297363258983286811847180456457057018158865389171389631416453961604087272026941144242545864814465876888464388260504890085835752734305322289899515489341411697988886367226773170735477940441975074667622262212112465098381138381615165876233576440854621685189798770346892564757071340223845880131874484290174549903766779592237341060587999816485773261587488777125760404389391853817494563357998736406154148691088016475652277171895568862944604587066812104928281045386991153286272284407141235813605740870372785434476994941239811879703261055681975365699726829039379091844608361756315409827689049910310984719827276536635715027108746448771438889436637020747}
19654  77559041173047615324271793809868894822493882367386238446960329411823873: {1390393,1624393,1686374,1974853,2208133,3215876,3685364,3717433,3833029,4154564,4260374,4409929,4525093,4870153,5099833,5248244,5443813,5716484,5889302,6184436,6353414,6813253,7048502,7586564,8204102,8364404,8510473,8519876,8665334,8895734,9409033,10504502,10882995,11119736,11608528,11622596,11745829,12187333,12407653,12509703,12643935,13014644,13059594,13478084,13486864,13926008,13941236,14050873,14095556,14608934,15020804,15172722,15666759,16109029,16192502,16539013,16643654,16727096,16869014,16878183,17074873,17328884,17608933,17636084,17789636,17822053,18096644,18353593,18817983,19342239,19727173,20060007,20093075,20395124,20853956,21006836,21296953,21465284,21790502,22023973,22177779,22899302,23026475,23569993,23877253,23935263,24111690,24445574,24514244,24998329,25085823,25545734,25578356,25707399,25719136,26944196,27414073,27544839,27613513,27631770,27735254,27808143,27879608,27953414,28934028,29001529,29100133,29473888,29517044,29730296,29786071,29864075,29984329,30002343,30193935,30473029,30875396,30992343,31057093,31276355,31335603,31364559,32206864,32231156,32286374,32403759,32791475,32889529,33133556,33158124,33271993,33446583,33734516,33843529,34034804,34884613,35261029,35268536,35540239,35717075,35729929,35833844,35836890,36232722,36569413,36979539,36986102,37329524,37531626,38226016,38335595,38961829,38971076,39349770,39416329,39677103,39730454,39867896,40409893,40438895,40672095,41290879,41450703,41703608,41750713,41824934,41917983,41973088,42105529,42267183,42551530,42860490,42983924,43004268,43282502,43338313,43383568,43428356,43576436,44020484,44191235,44319302,44643493,44733014,44816293,44851383,45646196,45717856,45896595,45932473,46002714,46347063,46528453,46573683,46678724,46916559,47120756,47219724,47635935,47793673,48321395,48526674,48633935,48739076,48806514,48956368,49346075,49455433,49551943,50275513,50318075,50771770,50811664,51061836,51071894,51139023,51378884,51432588,51849935,51879734,52081334,52214329,52402676,52692553,52886294,52930693,53029482,53488502,53579576,53889254,54571847,55075914,55175075,55300063,55398008,55464644,55486502,55728778,55900916,56043973,56120329,56121639,56772596,56818895,56879929,57163122,57257029,57557413,57707173,57769850,57985674,58049295,58062374,58360722,58986970,59215290,59831414,59846329,59934008,60261279,60277023,60381690,60787900,60809174,60857353,60907595,60926124,61000633,61113716,61215013,61641829,61712713,61783334,61919248,62219922,62322759,62337011,62366102,62557143,62697529,62767333,62964499,63162976,63461413,63913814,64079929,64135364,64299302,64407136,64421029,64422404,64852724,64969935,65030473,65355995,65366533,65500453,65680835,65700793,65855684,65983099,66210090,66218102,66697395,66811475,67019833,67345093,67385103,67425759,67463435,67990213,67999604,68048367,68118373,68182674,68305839,68373829,68437513,68691529,68786927,68855156,69077435,69301264,69323820,69477050,69633829,69659154,70136324,70253007,70314553,70388774,70624096,70738143,70784364,70788490,71058348,71143888,71168329,71514134,71660216,72007993,72119135,72261494,72458028,72531100,72549236,72599113,72657829,72945480,73089114,73192454,73472293,73923603,73945408,73978863,74119814,75043574,75077795,75248696,75446713,75517124,75596102,76373893,76535353,76880294,76925444,77428502,77647429,77808512,77855653,77934008,77963922,78288423,78339302,78427194,78473413,78740746,78817002,78884054,79000090,79031924,79181029,79452108,79608374,79612540,79874533,79918223,80036874,80150102,80173770,80402739,80452239,80457733,80617743,80798431,80956122,81125029,81169850,81172153,81316475,81384999,81410564,81502863,82063665,82083274,82247876,82686853,82892922,82909513,83188584,83372460,83393029,83436553,83640836,83825029,84038329,84212075,84249829,84267100,84291913,84312503,84654783,84946188,84983855,85441033,85518688,85837753,86107623,86495653,86542962,86798053,86847608,87010850,87021829,87037320,87169573,87438095,87534576,87605893,87675759,87784633,88047159,88066873,88070075,88076804,88481593,88583653,88651333,88671898,88819273,88930624,88938311,89279929,89408953,89451087,89731844,89944453,90093354,90144884,90219529,90339913,90368774,90712502,90768435,90924553,90948543,90953029,91107524,91227014,91344133,91371529,91534393,91800073,91930213,91931396,91996879,92159929,92285029,92422502,92553913,92560839,92625733,92673253,92767429,92839808,92887879,92932694,92997829,93412383,93584722,93587157,93827593,93937016,93986036,94022713,94060873,94259444,94261570,94800108,94905829,95057029,95129929,95215364,95256613,95529529,95535048,95776475,95823433,95952133,96202693,96208524,96209929,96303673,96309539,96315913,96333733,96413113,96435973,96444613,96457033,96476293,96493753,96512329,96566329,96569353,96819664,96837935,96850436,97113687,97403820,97579770,97606995,97703559,97916985,98198583,98349176,98476398,98570195,98624294,98682050,99141639,99565316,99661263,99939302,...,557543048187858243668592104613977877311539793684004426127670646417081367631647498369397331329474835199178080944844730842268616158316577709606612803960099209987595221387335226848750171279385543728366678609402563406175358828346457268339357998917587058550768180073177239218179274698188360509796949156356211301005288807919461092067267710007552681182846125533229413682276060966880985243666362187388121128013513121587286748575911060001915066495593057011858996090627835439616198932100398501355408953670228981104389915723832339897305950845544949746266457045947818495468554900337962200566625103863325996787896309956886366854587186655289197083592925404723062612833763646310913648165984823473496607336718958205121915365202037657024673580739977957997840193671264814371897666881603017374372984849999006425536805072015543981432429097974705992829232995030402751374594089779609831516123788200332087212243727516218495938414564208300453127208757423808102822073259707018224297368171324935727439231673948773519178916330226296524345175061177165719181743866350700593164433469771082691400490505826243881902146936398856857048005115424603047953912263321234604737649338645877134427625846355453052826832133628486094567988382839451575577744132490761841721905614402106790367112925628907866398871990778009482399855526121189396742665544826072649322746823764267839012619877148291976184599868872356097241350352681284492389415902017880696071728117662394091366287083160925535291080160603696826806276624223142936439355426384249567992536087354382987812466972875018596249581024307948619683847767553079144251416013989591430025586930779127948834605299267858772673054541733800863760092406977837246813808135846586999331344197565738456695842609275587952567054904997268808235451224130157808828467387065286406434994688620702484752985644037426682955683165136738245548088736946347703485725128782075924412472512679673996986214118988186578703825620758785246025593918517917783057011536352508982261558133067535955729406903314387874489630679599116006031976873637613906952983148948420706682043737532770201904273866305825051831634007600236333410408704812548990037639213611507153193057866907630498869842562038704329457643756171020481159522141060000322976310826445736400283421073634224535809071832204784725873384069827053123777439123126891294007411202419635624123956715942035508626753065010994580183158839108216821976654672623218234873153009185767090473777692774713357623111992385098020909112771144176811192648936330390086541374807372615803063151011977715749129573941942742690878487185561852841888605282138783029369254858990061153085954502517952517680673186781114336979073763053199353985788548930651848489635697560980637253922633432890163016282816620131174851175486887834978101921139495580253065027129190086342761786965127840175832645720232733205022372789649788080783999755314364348783318369501013872519189138423326084477331648541538864921450688634203036229194091817259472782755749473237708060515988204381696379209521647751474321160497047245969326588319749172937681407575967154266302438719172122459477815675087213103585399880414646293103035382180953369478328598361918519248849360996}
19655  77862420014953218140498432226838190051979495552698742455806346544149655: {2529561,4019845,4606705,4823814,5193205,5528046,6231846,6390561,6560305,7145605,7730545,7872366,8574726,8833953,8840953,9276654,9483205,9530121,9667237,9729769,10131649,10157462,10373161,10455505,10572753,10649845,11379846,11801006,12185257,12306153,12546606,12779814,12998001,13075201,13140193,13343601,13659109,13899670,14428249,14510660,14528245,14636209,15020161,15715513,15756753,15804854,16268305,16481077,16679604,16847605,16858580,17407510,17412792,17426545,17433894,17619445,18064033,18776005,18858086,19521966,19589391,19720081,20217126,20230296,20301349,20889012,20908870,20911854,21104161,21143334,21661105,21712273,21909446,21913401,21945817,22045105,22139953,22237045,22291369,22504244,22531206,22620805,22622821,22759083,23092334,24277033,24288753,24394657,24420001,24889993,24965481,25090644,25303521,25418734,25493905,25657333,25789652,25993326,26014009,26067445,26258545,26267737,26454126,26684454,26746676,26831605,27144966,27458113,27553382,28181006,28523689,29397049,29570372,29698309,30569902,30592686,30642805,30835081,30859969,31280934,31510254,31913684,31972945,32148920,32155153,32197926,32223109,32685753,32839561,33447764,33680245,34033969,34276532,34348953,34503673,34849510,34884409,35288566,35526889,35527801,35714734,35779249,36167535,36490657,36668361,36726452,36771366,36842360,36896305,37053313,37077524,37162870,37960622,38003137,38284774,38318601,38367534,38578704,38594245,38750833,39271462,40003124,40004521,40258580,40288945,40416294,41323124,41393701,41416945,41447655,41602881,41780804,41819412,41930121,42141649,42168145,42338446,42543505,42697297,42836822,43036153,43205012,43401042,43420102,43442089,43785781,44085670,44210832,44275566,44460206,44574961,44595444,44792305,45103993,45290401,45370513,45417829,46313094,46568374,46661905,46882129,47040001,47639713,47728726,47782520,48310296,48346734,48429561,48473257,48484249,48713845,48902053,49287446,49306052,49365637,49605961,49700334,49737186,49834870,50042168,50278993,50601774,51052206,51437353,52129510,52442257,52466360,52902804,53115694,53366902,53729905,53750766,53755335,54179342,54229460,54285445,54349083,54470545,54807049,55025605,55178566,55267604,55278169,55350854,55479153,55890644,55994286,56069233,56297439,56356244,56889673,57057745,57147320,57339024,57750913,58348405,58456614,58486213,58756513,58900945,59024655,59595681,59658673,59801844,59869189,60161254,60285121,60638606,60923845,61110961,61195460,61336952,61534609,61775137,61796084,62098244,62250902,62555412,62702689,62737401,62959632,63144409,63176053,63272833,63514580,63827295,63879694,63974881,64223605,64290735,64475886,64506402,64702232,64923753,65075352,65107909,65142534,65364654,65503345,65797702,65842609,66030726,66138193,66173257,66256801,66463993,66478953,66768241,66974470,67099521,67747381,68082448,68185364,68192257,68469294,68576784,69004071,69247510,69330805,69684649,69876145,70018086,70476614,70681134,70705976,70829586,70965745,72790011,72989281,73108614,73209771,73434552,73495153,74099014,74828852,74917510,75984875,75991657,76157655,76217496,76392145,76444334,76513814,76592754,76607841,76645294,77068326,77148882,77314232,77399060,77429797,77814296,77819601,78122001,78604014,78953720,79329441,79529606,79544223,80000854,80169205,80232753,80348372,80369364,80508920,80519254,80528005,80833881,81065905,81234832,82194889,82319605,82543526,82613871,82724329,82959896,83097012,83196966,83229753,83409524,83593167,83851374,84160117,84675589,84717206,84999505,85003414,85158894,85404313,85577209,85744683,85897081,86055529,86068945,86411662,86626580,86654775,86978511,87093561,87541083,87670405,88280120,88480455,88517221,88642357,88822935,88929860,88944841,89575270,89747121,89846804,89901012,90348133,90572535,90663875,90686545,90731156,90910232,91074452,91088833,91099862,91181850,91213761,91389186,91501993,91670574,92001601,92431760,92599729,92675001,92878872,92972929,93329883,93549153,93670676,94060870,94070374,94140782,94250113,94317524,94379152,94396405,94597414,94627657,94744464,95721614,95870721,95890561,96156805,96203046,96448953,96610704,96633606,96806881,97260640,97276993,97279086,97413046,97417510,97452152,97585046,97688833,98070529,98564804,98638484,98783526,98789905,99315135,99327153,99515675,...,836314572281787365502888156920966815967309690526006639191505969625622051447471247554095996994212252798767121417267096263402924237474866564409919205940148814981392832081002840273125256919078315592550017914103845109263038242519685902509036998376380587826152270109765858827268912047282540764695423734534316951507933211879191638100901565011329021774269188299844120523414091450321477865499543281082181692020269682380930122863866590002872599743389585517788494135941753159424298398150597752033113430505343471656584873585748509845958926268317424619399685568921727743202832350506943300849937655794988995181844464935329550281880779982933795625389388107084593919250645469466370472248977235210244911005078437307682873047803056485537010371109966936996760290506897221557846500322404526061559477274998509638305207608023315972148643646962058989243849492545604127061891134669414747274185682300498130818365591274327743907621846312450679690813136135712154233109889560527336446052256987403591158847510923160278768374495339444786517762591765748578772615799526050889746650204656624037100735758739365822853220404598285285572007673136904571930868394981851907106474007968815701641438769533179579240248200442729141851982574259177363366616198736142762582858421603160185550669388443361799598307986167014223599783289181784095113998317239108973984120235646401758518929815722437964276899803308534145862025529021926738584123853026821044107592176493591137049430624741388302936620240905545240209414936334714404659033139576374351988804131031574481718700459312527894374371536461922929525771651329618716377124020984387145038380396168691923251907948901788159009581812600701295640138610466755870220712203769880498997016296348607685043763913913381928850582357495903212353176836195236713242701080597929609652492032931053727129478466056140024433524747705107368322133105419521555228587693173113886618708769019510995479321178482279868055738431138177869038390877776876674585517304528763473392337199601303933594110354971581811734446019398674009047965310456420860429474723422631060023065606299155302856410799458737577747451011400354500115613057218823485056458820417260729789586800361445748304763843058056494186465634256530721739283211590000484464466239668604600425131610451336803713607748307177088810076104740579685666158684690336941011116803629453436185935073913053262940129597516491870274738258662325232964982008934827352309729513778650635710666539162070036434667988577647031363669156716265216788973404495585129812062211058923704594726517966573623694360912914114036317730778342779262832907923208174544053882288485091729628931753776928776521009780171671505468610644579799030978682823395977772734453546341470955880883950149335244524424224930196762276763230331752467152881709243370379597540693785129514142680447691760263748968580349099807533559184474682121175999632971546523174977554251520808778783707634989126715997472812308297382176032951304554343791137725889209174133624209856562090773982306572544568814282471627211481740745570868953989882479623759406522111363950731399453658078758183689216723512630819655378099820621969439654553073271430054217492897542877778873274041494}
19656  78166977137115984229577013687117963480756050224523441756965202071190888: {921623,1038959,1156223,1429559,1546583,1897223,2013959,2208359,2780786,2906543,3248786,3254663,3370559,3372748,3486383,3756359,3871943,3949706,4333559,4410383,4416266,4448783,4525559,4640663,5215103,5367983,5482559,6431752,6510503,6700223,7079063,7235721,7370728,7381559,7434866,7494863,7645823,7666058,8060303,8292069,8309128,8511359,8520748,8623943,8819858,9050186,9347769,9559343,9740306,10199666,10496488,10860503,10887626,11008583,11193503,11432968,11778604,11783903,11808549,12225359,12298823,12368872,12706828,12848783,12862089,12958559,13433423,13626506,13914981,13979663,14052359,14097004,14306543,14849903,15030623,15173128,15236193,16038959,16146623,16218359,16408204,16576559,16728808,17005343,17020946,17039752,17069769,17330668,17539703,17701509,17791468,18138325,18249383,18818066,18819909,18991103,19169721,19343063,19764359,19869503,20463959,20708063,20849505,21009004,21073225,21333959,21507359,21765990,22239472,22371359,22440263,22543559,22646783,23161823,23217056,23245192,23469983,23491658,23675063,23707281,23913959,24322583,24374666,24815306,25001063,25019406,25287870,25541543,25945559,26012783,26029288,26111265,26113559,26119188,26150841,26214263,26956168,26973728,27017303,27616559,27852016,27882472,28101746,28130305,28191112,28213223,28287129,28345463,28543583,28840223,29004743,29037623,29103359,29217868,29282949,29987663,30020303,30041608,30325689,30345444,30476423,30508943,31060559,31287023,31333518,31363305,31367781,31383959,31715001,32218058,32237065,32385004,32864169,33078026,33212063,33287308,33307559,33433345,33454192,33738028,33756366,33796809,33847343,34149746,34510943,34638501,34657768,34888559,35108303,35217866,35265023,35272168,35296343,35579272,35644106,35765183,36193288,36604559,36666503,36707186,36962965,37438103,37635966,38082383,38128101,38509943,38601359,38684478,38966303,38989989,38996663,39420863,39451103,39454346,39511559,39681189,39873623,39892105,40026681,40120014,40186150,40504463,40717449,40773743,40790248,41330073,41399543,41666663,41707912,41809705,42013672,42110423,42271509,42405263,42493559,42593906,42845665,42930568,43460063,43581004,43605743,43722143,43786897,44041583,44047946,44355558,44475623,45252359,45452783,45681359,45798604,45854853,45889029,45908065,45966359,46051703,46052950,46193783,46346905,46533959,46731863,46872983,46921401,47139986,47265381,47659559,47754506,47870526,48223380,48296889,48550823,48717023,48891148,48965783,49028488,49323959,49378943,49461359,49954343,49996658,50003905,50171646,50281559,50323225,50471903,50634743,51091468,51094559,51156712,51175463,51414798,51438272,51444623,51653905,51820103,52167359,52226005,52247303,52274265,52698959,52778423,52932849,53042783,53572101,53669833,53888392,54006265,54066143,54274559,54828146,55089678,55128863,55157049,55227026,55263540,55360343,55470508,55616286,55693559,55744305,55759216,55906828,56076359,56127263,56152703,56614453,56760863,56912183,56940933,57289223,57427161,57551301,57589559,57714359,57868056,58003058,58087559,58200266,58907193,58947776,59000423,59034088,59269703,59440559,59460592,59572142,59728150,59853863,59878103,59968658,59999183,60004686,60216623,60387870,60624441,60649559,60817223,60888959,60946058,61317863,61531343,61632565,61649663,61673303,61720559,61750792,61791383,61867729,61984686,62114186,62495663,62552710,62671206,62705543,62729118,62775359,62937983,63192743,63469559,63507669,64110983,64255233,64413728,64452023,64462312,64494001,64572748,64807518,65101563,65106263,65130153,65240783,65397359,65582950,65731559,65779058,65842559,65997623,66128505,66267112,66316248,66328583,66413349,66438503,66543986,66570143,66657743,66690309,66893166,67093823,67375559,67469032,67649953,67687058,67741943,67786825,67806359,68020559,68069608,68087509,68276543,68382863,68404103,68721743,69079559,69084505,69288959,69469641,69663863,69670777,69705359,69769226,69852561,69863305,70015559,70445305,70522058,70537072,70630559,70894823,71080478,71177903,71198063,71434150,71439359,71459858,71593089,71667688,71673780,72077183,72195863,72333959,72393023,72465444,72491303,72520101,72589909,72628559,72726359,72862943,73018559,73138826,73154303,73270343,73308959,73501559,73530853,73671013,73931169,73959078,73972204,74226143,74301743,74358359,74414903,74550501,74605779,74659048,74733959,74752305,74864663,75063252,75254423,75475559,75512303,75902661,76168223,76384559,76452032,76494325,76578309,76671190,77044343,77097359,77245105,77413943,77622805,77675783,77710559,77883959,77918543,77923658,77942152,78194265,78450503,78484559,78699540,78832658,78907559,79108823,79192343,79209023,79354206,79393225,79458263,79460908,79491359,79546453,79673541,79735792,79902359,79951343,80050353,80195183,80227559,80581583,80626149,80757143,80819786,80820743,80877790,80900063,81136823,81269013,81293641,81344190,81371783,81836303,81989543,82157183,82217903,82263359,82534583,82581758,82609463,82767849,82901406,82936559,83010359,83026281,83407216,83419943,83501426,83649868,83835966,83837543,83946176,83991429,84211058,84262463,84346583,84444359,84534366,84555623,84762863,84817823,85022783,85103060,85231705,85270633,85306703,85333559,85706183,85720980,85824623,85863959,85929359,85967848,86008536,86214743,86291903,86508959,86565004,86635559,86676626,86736263,86767136,86823959,86856712,87010559,87035303,87152872,87195359,87438959,87583583,87619559,87684921,87735769,87762743,88010543,88040968,88115663,88358423,88382470,88404263,88575023,88638604,88699103,88833359,89032583,89163959,89196623,89286986,89304983,89466023,89466028,89561783,89632586,89702766,89782703,89907359,89928023,90112559,90241881,90244223,90364559,90660359,90776663,90957909,90977423,91165343,91202543,91292392,91340903,91386623,91395743,91435712,91441223,91498393,91549559,91656743,91793190,91841543,91864946,91928303,91953169,92005428,92005703,92073959,92133263,92158559,92283959,92308823,92432063,92448359,92545463,92569559,92593583,92694126,92744063,92767559,92783183,92790983,93013703,93056906,93147366,93357448,93376353,93389063,93460223,93495503,93536065,93830663,93833118,93968423,94000703,94045559,94140359,94171559,94214903,94231621,94241512,94439448,94448809,94460903,94484183,94671359,94922903,94928063,94938359,94989359,95014559,95074223,95079143,95103623,95151983,95232359,95246303,95264783,95271870,95314943,95332943,95359703,95421023,95433959,95538959,95571503,95587346,95666063,95770559,95788559,95819541,95851703,95902343,95951183,95973359,95982743,95998223,96010463,96098183,96139343,96193943,96198959,96228383,96263543,96330503,96334559,96354359,96403823,96408959,96417359,96433559,96456359,96467783,96480023,96531503,96545903,96557543,96570263,96580559,96583343,96586103,96589463,96642790,96708409,96713829,96748825,96759603,97053348,97267870,97478152,97613028,97713801,97912736,98046981,98692150,98696553,98910866,99046089,99103886,99642049,...,1254471858422681048254332235381450223950964535789009958787258954438433077171206871331143995491318379198150682125900644395104386356212299846614878808910223222472089248121504260409687885378617473388825026871155767663894557363779528853763555497564570881739228405164648788240903368070923811147043135601801475427261899817818787457151352347516993532661403782449766180785121137175482216798249314921623272538030404523571395184295799885004308899615084378276682741203912629739136447597225896628049670145758015207484877310378622764768938389402476136929099528353382591614804248525760414951274906483692483492772766697402994325422821169974400693438084082160626890878875968204199555708373465852815367366507617655961524309571704584728305515556664950405495140435760345832336769750483606789092339215912497764457457811412034973958222965470443088483865774238818406190592836702004122120911278523450747196227548386911491615861432769468676019536219704203568231349664834340791004669078385481105386738271266384740418152561743009167179776643887648622868158923699289076334619975306984936055651103638109048734279830606897427928358011509705356857896302592472777860659711011953223552462158154299769368860372300664093712777973861388766045049924298104214143874287632404740278326004082665042699397461979250521335399674933772676142670997475858663460976180353469602637778394723583656946415349704962801218793038293532890107876185779540231566161388264740386705574145937112082454404930361358317860314122404502071606988549709364561527983206196547361722578050688968791841561557304692884394288657476994428074565686031476580717557570594253037884877861923352682238514372718901051943460207915700133805331068305654820748495524444522911527565645870870072893275873536243854818529765254292855069864051620896894414478738049396580590694217699084210036650287121557661052483199658129282332842881539759670829928063153529266493218981767723419802083607646707266803557586316665315011878275956793145210088505799401955900391165532457372717601669029098011013571947965684631290644212085133946590034598409448732954284616199188106366621176517100531750173419585828235227584688230625891094684380200542168622457145764587084741279698451384796082608924817385000726696699359502906900637697415677005205570411622460765633215114157110869528499238027035505411516675205444180154278902610869579894410194396274737805412107387993487849447473013402241028464594270667975953565999808743105054652001982866470547045503735074397825183460106743377694718093316588385556892089776949860435541541369371171054476596167514168894249361884812261816080823432727637594443397630665393164781514670257507258202915966869698546468024235093966659101680319512206433821325925224002866786636337395295143415144845497628700729322563865055569396311040677694271214020671537640395623452870523649711300338776712023181763999449457319784762466331377281213168175561452483690073996209218462446073264049426956831515686706588833813761200436314784843136160973459858816853221423707440817222611118356303430984823719435639109783167045926097099180487118137275533825085268946229483067149730932954159481829609907145081326239346314316668309911062241}
19657  78472717083337163588893337615446347599121104795211762271816335492480825: {4171179,4215935,4873179,5059122,5627783,5924559,6449387,6624399,7270487,7980863,8039690,9184427,9213410,9272219,9647628,10003847,10333943,10386410,10448399,10650935,10804559,10822763,11056092,11152299,11499087,11973767,12330287,12463692,12781122,13120610,13229787,13276487,13575279,13976939,14291210,14325407,14610459,14637707,14723255,14909783,15266063,15299499,15461090,15529319,15744732,15883535,16331439,16677047,17051567,17149452,17617703,17621255,17667906,17681906,18553308,18572879,18966410,19060242,19334474,19459538,20263298,20314924,20339543,20439759,20510255,20746322,20911010,21145506,21299690,21663335,22142219,22239335,22689743,22759692,22775627,23586647,23602012,24370514,24397163,24612306,24667223,24913883,25093212,25531419,25559628,25659959,25996002,26104139,26150402,26165399,26261255,26280386,26286407,26687202,26809127,27318218,27799340,28227099,28691039,28856498,29021320,29056490,29272418,29358059,29826203,30040322,30325547,30863147,31131863,31147007,31431026,31513506,31609708,31669127,32226407,32536610,32648985,32962154,33359208,33657503,33695210,33717160,34741967,34815020,34825584,34853090,34867788,34933019,35237487,35238890,35691467,36014063,36128066,36186779,36190943,36494423,36522335,36561999,36761963,37222959,37529109,37552010,37564247,37716172,37931805,39043932,39178782,39440162,39706523,40434252,40460592,40481255,40602698,40624043,41609135,41778024,41817740,41823708,42152619,42172535,42208322,42284567,42286668,42569483,42899927,43322210,43424546,43790279,43818892,43826802,43891634,44090210,44144663,44248439,44279906,44474090,44582738,44762123,45008488,45062412,45241610,45245642,45518166,45796439,46080863,46184668,46268939,47000277,47152343,47644619,48327087,48471887,48552923,48554066,48577506,48789314,48840002,48911423,49617039,49779986,49803767,49930962,50028263,50181288,50284139,50607042,50634549,50761103,50837468,50987810,51224619,51287519,51314666,51579304,51654827,51986652,52000127,52028018,52134890,52517090,52535474,52826799,52908252,53304719,53368908,53466159,53493352,53663210,53970767,54031943,54289932,54476255,54916226,54940703,55060779,55106764,55173359,56301479,56362012,56404523,56453949,56979947,57047378,57118343,57248255,57299567,57983723,58026717,58492199,58794098,59035403,59140744,59181519,59396618,59560907,59664779,60180021,60279225,60789599,61113935,61139804,61185372,61285610,61339199,61540907,61670162,61719938,61781483,62561868,62709227,63020508,63182519,63805607,63827368,63864335,63890859,63945890,64297840,64310306,64315583,64395852,64446218,64771967,65326667,65371506,65679122,65768903,66071919,66263639,66533337,66563519,66895528,66912623,67360490,67664459,68067938,68199383,68251079,68553064,68697906,69007346,69079425,69338135,69691823,69699020,69706139,69768818,69883535,70331447,70573163,70577132,70709979,71053778,71055602,71429468,71558498,71578463,71631759,71805789,71822183,72335070,72518603,72767663,72981314,72996779,73336722,73452904,73542732,73609847,73684720,73792610,74106626,74155048,74325740,74994987,75221867,75257469,75565439,75921244,75999623,76006274,76258763,76569548,76637202,76735068,77035847,77122197,77157408,77188490,77206043,77501666,77882843,78163319,78542924,78560159,79077119,79880843,80006248,80009042,80324123,80517160,80577890,80715935,80832588,81558767,81687767,82242219,82461323,82634517,82646248,82769783,82787402,82833890,82840539,82895310,83205762,83424429,83561608,83638824,83860242,84060383,84283298,84336290,84676892,85087010,85289783,85293383,85394594,85673644,86072306,86298599,86410024,86547263,86802084,86840204,86884178,87004587,87176783,87300399,87571562,88171340,88421664,88551132,88651463,88920412,89149922,89190888,89358213,89584610,89592225,89751707,89913047,89952987,89964263,90007029,90207986,90580802,90581805,90741026,90835658,91419087,91511519,91704683,92456603,92465255,92626188,92750603,92977029,93136748,93171279,93323810,93764258,93829065,94006809,94080002,94093677,94259819,94433387,94463183,94637423,94755359,94755623,95279426,95457452,95565040,96620592,96693468,96859122,96946514,96968498,97063127,97211277,97427690,97699019,97804106,97826603,98346539,98374425,98574892,98612104,98668587,98731274,98759327,99211922,99326135,99352043,99400668,99474372,99669740,99815979,99903623,...,1672629144563574731005776313841933631934619381052013278383011939251244102894942495108191993988424505597534242834534192526805848474949733128819838411880297629962785664162005680546250513838156631185100035828207690218526076485039371805018073996752761175652304540219531717654537824094565081529390847469068633903015866423758383276201803130022658043548538376599688241046828182900642955730999086562164363384040539364761860245727733180005745199486779171035576988271883506318848596796301195504066226861010686943313169747171497019691917852536634849238799371137843455486405664701013886601699875311589977990363688929870659100563761559965867591250778776214169187838501290938932740944497954470420489822010156874615365746095606112971074020742219933873993520581013794443115693000644809052123118954549997019276610415216046631944297287293924117978487698985091208254123782269338829494548371364600996261636731182548655487815243692624901359381626272271424308466219779121054672892104513974807182317695021846320557536748990678889573035525183531497157545231599052101779493300409313248074201471517478731645706440809196570571144015346273809143861736789963703814212948015937631403282877539066359158480496400885458283703965148518354726733232397472285525165716843206320371101338776886723599196615972334028447199566578363568190227996634478217947968240471292803517037859631444875928553799606617068291724051058043853477168247706053642088215184352987182274098861249482776605873240481811090480418829872669428809318066279152748703977608262063148963437400918625055788748743072923845859051543302659237432754248041968774290076760792337383846503815897803576318019163625201402591280277220933511740441424407539760997994032592697215370087527827826763857701164714991806424706353672390473426485402161195859219304984065862107454258956932112280048867049495410214736644266210839043110457175386346227773237417538039021990958642356964559736111476862276355738076781755553753349171034609057526946784674399202607867188220709943163623468892038797348018095930620912841720858949446845262120046131212598310605712821598917475155494902022800709000231226114437646970112917640834521459579173600722891496609527686116112988372931268513061443478566423180000968928932479337209200850263220902673607427215496614354177620152209481159371332317369380673882022233607258906872371870147826106525880259195032983740549476517324650465929964017869654704619459027557301271421333078324140072869335977155294062727338313432530433577946808991170259624124422117847409189453035933147247388721825828228072635461556685558525665815846416349088107764576970183459257863507553857553042019560343343010937221289159598061957365646791955545468907092682941911761767900298670489048848449860393524553526460663504934305763418486740759195081387570259028285360895383520527497937160698199615067118368949364242351999265943093046349955108503041617557567415269978253431994945624616594764352065902609108687582275451778418348267248419713124181547964613145089137628564943254422963481491141737907979764959247518813044222727901462798907316157516367378433447025261639310756199641243938879309106146542860108434985795085755557746548082988}
19658  78779644414815815094009276248214009528649685290696999513150886630709910: {1195417,1843246,2077918,2312446,2480437,2859118,2945557,3061657,3093166,3525337,3794446,4027918,4103317,4416718,4449241,4679497,5253877,5368537,5561572,5813086,6497572,6509326,6738841,6741118,6745496,6972766,7512718,7588683,7743886,7872841,7899412,8098777,8437141,8667118,8820766,8832532,8897566,9051118,9281326,10430206,10735966,10898677,10965118,11009737,11563957,12059535,12863504,13021006,13400446,13820115,13981141,14158126,14471442,14741456,14763118,14869732,14989726,15291646,15332116,15579615,16120606,16584138,16618256,17022718,17041496,17247886,17639716,18074197,18100372,18605017,18695538,19028377,19118686,19171683,19480612,19680915,20399332,20710297,20992976,21436815,21721006,21775252,22017166,22166857,22387006,22683637,22865936,23191635,23506741,23557208,23567806,23617098,23711797,24450718,24597646,24737744,25393655,25413656,25697566,25724178,25917118,26049241,26351317,26501859,26522859,26552341,26866846,27053641,27253012,27752437,27829962,27959326,28104718,28194008,28449615,28590363,28613086,28843417,29001711,29040841,29189307,29502515,29699806,30023641,30061246,30346256,30394947,30472386,30512341,31119483,31290517,31366515,31718259,31774537,31949535,32077918,32293246,32436718,32641237,32816408,33153118,33215797,33457616,34010686,34041892,34079504,34139538,34546357,34661336,34749175,35079406,35300341,35403018,35582936,36276650,36498766,36555771,36701641,36918459,37636132,37639818,37811017,37982206,38339442,38686126,38994003,39001141,39225603,39382427,39420579,39455641,39512135,39528718,39636937,39739006,40030803,40539097,40927918,40977327,41416126,41699010,42018008,42146450,42410197,42667918,43014718,43202377,43284747,43518775,43531980,43584735,43639957,43908627,44478944,44596297,44742718,44880526,45028117,45060483,45087118,45131891,45293566,45372277,45458137,46227637,46323646,46434112,46490384,46806683,46939966,46983316,47145215,47146539,47270259,47350126,47414562,47827918,48645166,48749332,48804915,48833497,49443231,49630612,49987657,50002126,50038812,50542815,50575740,51083086,51748151,51891118,52025566,52058576,52222530,52227118,52238376,52272175,52279635,52301682,52413337,52428526,52858335,53912336,53947456,54034606,54192099,54229141,54773615,55161397,55233118,55704032,55764944,55848947,56159641,56203492,56260610,56328015,56382224,56426446,56574258,56690926,56767897,57087166,57145717,57446677,57680446,57730835,58009486,58075246,58206718,58435736,58533587,58565898,58768173,59160243,59521141,59885641,59975326,59983931,60040606,60083216,60651378,60690888,60904047,60952846,61017886,61681141,61822837,62121118,62574046,62667036,62726610,62735562,62767918,63223957,63293257,63312483,63430002,63546835,63776341,64271291,64436116,64474130,64770008,64885667,64983315,65136819,65137141,65271637,65728338,65740203,65837451,66006217,66135315,66156052,66337237,66419859,66424126,66469141,66574616,66615118,66711135,66866690,66874107,66908384,67476056,67512732,67578697,67593618,67694686,67862415,67868463,68277249,68299492,68413141,68883455,68920597,69021886,69235417,69277002,69315536,69777118,70005467,70216606,70435732,70452515,70530046,70544336,70592686,70599241,71158544,71207641,71288212,71530366,71629237,71928217,72315467,72386576,72831099,72866259,73116407,73183971,73209118,73260003,73333006,73414372,73925930,74255257,74311957,74669979,74876206,74896443,74986741,75153817,75264841,75271932,75430837,75608771,75910563,76164766,76220183,76256202,76424755,76481715,76971999,77019886,77055157,77202718,77319577,77368956,77867339,77932606,77979978,77993326,78042027,78202335,78775635,78803211,78841726,78902206,78908692,79023118,79120117,79220341,79362378,79747246,79784210,79864777,80053362,80206741,80240028,80372300,80494815,80593237,80784757,80927641,81008926,81434898,81547486,81580496,82338191,82374339,82456597,82636597,82660146,82799086,82859977,83333326,83415824,83562697,83619410,83778517,83992537,84027344,84220846,84543018,84582217,84623797,84810526,84987118,85187812,85400137,85571067,85691330,85861136,86285591,86686741,86762197,86900099,86920126,87123775,87162008,87211486,87444286,87573794,87609241,88083166,88095892,88191147,88221415,88383817,88711116,88825141,88925257,88951246,88991641,89094927,89286835,89734357,89890777,90504718,90557641,90791497,90905566,91362718,91410841,91465417,91597208,91709706,91733977,91778058,91816130,91928415,91932718,92021077,92072341,92103406,92105900,92148697,92387566,92505243,92579907,92693810,92806741,92907175,92991637,93067918,93463726,93745966,93827017,93842802,93846997,93926197,94023577,94279972,94359241,94530762,94621141,94737817,94901555,94914037,94945141,95096341,95319118,95377141,95509012,95593177,95711935,95721877,95741052,95799241,95873077,95918835,95923657,95933557,96064597,96074303,96116437,96157657,96189337,96212341,96367177,96417397,96446760,96465459,96529717,96565141,96576841,96593778,96607477,96609241,96669327,96718307,97101646,97434046,97782296,97808627,97931566,98056976,98057259,98178655,98518683,98623427,98647918,98757886,98922718,99908686,99993316,...,2508943716845362096508664470762900447901929071578019917574517908876866154342413742662287990982636758396301364251801288790208772712424599693229757617820446444944178496243008520819375770757234946777650053742311535327789114727559057707527110995129141763478456810329297576481806736141847622294086271203602950854523799635637574914302704695033987065322807564899532361570242274350964433596498629843246545076060809047142790368591599770008617799230168756553365482407825259478272895194451793256099340291516030414969754620757245529537876778804952273858199056706765183229608497051520829902549812967384966985545533394805988650845642339948801386876168164321253781757751936408399111416746931705630734733015235311923048619143409169456611031113329900810990280871520691664673539500967213578184678431824995528914915622824069947916445930940886176967731548477636812381185673404008244241822557046901494392455096773822983231722865538937352039072439408407136462699329668681582009338156770962210773476542532769480836305123486018334359553287775297245736317847398578152669239950613969872111302207276218097468559661213794855856716023019410713715792605184945555721319422023906447104924316308599538737720744601328187425555947722777532090099848596208428287748575264809480556652008165330085398794923958501042670799349867545352285341994951717326921952360706939205275556789447167313892830699409925602437586076587065780215752371559080463132322776529480773411148291874224164908809860722716635720628244809004143213977099418729123055966412393094723445156101377937583683123114609385768788577314953988856149131372062953161435115141188506075769755723846705364477028745437802103886920415831400267610662136611309641496991048889045823055131291741740145786551747072487709637059530508585710139728103241793788828957476098793161181388435398168420073300574243115322104966399316258564665685763079519341659856126307058532986437963535446839604167215293414533607115172633330630023756551913586290420177011598803911800782331064914745435203338058196022027143895931369262581288424170267893180069196818897465908569232398376212733242353034201063500346839171656470455169376461251782189368760401084337244914291529174169482559396902769592165217849634770001453393398719005813801275394831354010411140823244921531266430228314221739056998476054071010823033350410888360308557805221739159788820388792549475610824214775986975698894946026804482056929188541335951907131999617486210109304003965732941094091007470148795650366920213486755389436186633176771113784179553899720871083082738742342108953192335028337788498723769624523632161646865455275188886795261330786329563029340515014516405831933739397092936048470187933318203360639024412867642651850448005733573272674790590286830289690995257401458645127730111138792622081355388542428041343075280791246905741047299422600677553424046363527998898914639569524932662754562426336351122904967380147992418436924892146528098853913663031373413177667627522400872629569686272321946919717633706442847414881634445222236712606861969647438871278219566334091852194198360974236274551067650170537892458966134299461865908318963659219814290162652478692628633336619822124482}
19659  79087763710214947612860530966479762688311236824818952319614408138263438: {2764869,3116877,3468669,4288677,4639749,5691669,5902309,6041877,6625077,6951965,8121965,8342358,8431870,8719629,9431929,9746358,9763989,9874265,10111677,10118244,10459149,10958077,11040665,11255566,11269077,11549701,11615829,11849118,12898774,13000677,13231149,13248798,13346349,13576677,13780909,13921989,14540974,14911309,15289637,15645309,15961726,16010749,16079380,16103949,16447677,18368854,18426820,18544438,18587165,18832717,19148261,19165145,19295256,19531509,19641749,20007694,20100669,20612557,20667886,20772820,20896798,21237189,21301870,21609118,21645526,21707163,22049645,22112184,22144677,22236949,22304598,22484589,22625465,22937469,22998174,22999757,23622197,23871677,23947534,24180909,24350765,24660574,24669757,24876207,24927384,25499165,25534077,25562244,25871829,26168077,26241220,26459574,26552974,26565989,26691629,27150558,27219065,27597749,27953878,28043307,28582420,28650814,28678029,28714357,29220918,29275414,29446510,29583689,29819566,30089849,30328669,30532126,30598998,30922180,31058638,31135069,31489464,31767070,32581509,32662878,32908937,33025749,33354094,33485981,33551897,33580509,34066265,34103134,34298904,35235406,35242510,35249149,35335812,35351709,35363812,35425647,36017749,36676077,36765757,36896469,37106616,37145758,37326677,37713317,37932820,38120484,38334461,38546349,38586267,38668948,38875677,38919076,39777049,40271981,40300269,40448701,40526596,40629848,40679086,40879157,40879518,41020510,41284477,41492644,41744943,41822020,41938989,42157077,42291012,42552365,42599380,42919629,43326670,44284438,44478670,44549709,45091869,45379486,45519384,45551254,45708579,47045165,47173294,47204024,47313221,48116877,48439869,48494237,48655077,48721469,48741028,48794326,49224612,49334446,49729677,49827766,50186424,50309389,50435321,51016029,51062838,51119256,51131269,51209307,51319918,51502141,51992004,52208278,52300804,52330798,52522510,52560772,52572814,52619109,53104527,53374404,53618254,54220469,54414975,54636436,54748149,54818357,54924377,55598680,55913941,56307277,56454198,56459727,56673757,56973309,57124189,57258329,57342461,57382078,57509163,57712996,57804409,58029189,58042640,58112980,58117789,58252789,58544836,58716118,58729145,58729717,59041549,59225909,59293077,59608509,59652406,60080644,60320269,60651094,60936665,61345477,61391877,61726294,62038265,62124189,62263726,62294014,62548515,62862052,63027012,63219416,63219675,63338254,64001877,64452814,64522077,65073220,65208317,65297970,65924308,66718416,67114077,67315006,67320789,67390420,67434320,67630677,67940349,68022221,69483934,69485469,69630040,69651168,69706180,69735576,69866038,70254365,70409949,70474974,70477780,71025189,71121843,71312149,71382934,71741877,72028126,72256132,72373558,72381886,72967749,72988846,73044670,73123998,73506421,73523926,73671917,74445918,74780429,75003189,75058218,75104020,75128494,75432344,75863610,76172261,76266757,76624629,76775437,77443277,77836677,77890861,78038349,78087864,78333795,78340677,78357564,78452523,78642789,78665977,78834389,78880324,79413046,79823197,80104469,80147557,80545145,80868504,80921184,80962510,81051909,81205396,81248086,82269829,82409261,82695065,82741397,82849677,83218270,83556048,83635480,83647416,83978101,84305238,84345070,84390915,84416644,84569134,84573336,84592729,84639669,84861387,85036389,85138966,85374365,85559509,85630749,85799854,86520669,86643509,86644420,86849092,87014229,87112869,87310077,87580558,87637784,87653604,87783268,87848847,88044665,88180420,88289326,88496878,88559812,88592729,88948180,89110265,89165476,89410069,89524246,89962989,90016976,90060909,90124824,90483220,90491284,90977067,91036332,91171837,91429269,91429309,91526829,91592878,91767965,92161726,92369336,92537878,93181677,93454777,93861069,94000554,94089915,94103343,94151877,94259309,94304686,94765357,94928509,95145003,95289238,96654174,96711195,96943774,97073389,97105846,97108132,97155012,97578628,97615769,97680004,97822846,97836949,98532797,98592507,98635865,99234078,99344089,99559972,99607534,99636189,99861924,99922677,...,3763415575268043144762996706144350671852893607367029876361776863315299231513620613993431986473955137594452046377701933185313159068636899539844636426730669667416267744364512781229063656135852420166475080613467302991683672091338586561290666492693712645217685215493946364722710104212771433441129406805404426281785699453456362371454057042550980597984211347349298542355363411526446650394747944764869817614091213570714185552887399655012926698845253134830048223611737889217409342791677689884149010437274045622454631931135868294306815168207428410787298585060147774844412745577281244853824719451077450478318300092208982976268463509923202080314252246481880672636627904612598667125120397558446102099522852967884572928715113754184916546669994851216485421307281037497010309251450820367277017647737493293372373434236104921874668896411329265451597322716455218571778510106012366362733835570352241588682645160734474847584298308406028058608659112610704694048994503022373014007235156443316160214813799154221254457685229027501539329931662945868604476771097867229003859925920954808166953310914327146202839491820692283785074034529116070573688907777418333581979133035859670657386474462899308106581116901992281138333921584166298135149772894312642431622862897214220834978012247995128098192385937751564006199024801318028428012992427575990382928541060408807913335184170750970839246049114888403656379114880598670323628557338620694698484164794221160116722437811336247363214791084074953580942367213506214820965649128093684583949618589642085167734152066906375524684671914078653182865972430983284223697058094429742152672711782759113654633585770058046715543118156703155830380623747100401415993204916964462245486573333568734582696937612610218679827620608731564455589295762878565209592154862690683243436214148189741772082653097252630109950861364672983157449598974387846998528644619279012489784189460587799479656945303170259406250822940121800410672758949995945035634827870379435630265517398205867701173496597372118152805007087294033040715843897053893871932636255401839770103795228346198862853848597564319099863529551301595250520258757484705682754064691877673284053140601626505867371437293761254223839095354154388247826774452155002180090098078508720701913092247031015616711234867382296899645342471332608585497714081106516234550025616332540462836707832608739683230583188824213416236322163980463548342419040206723085393782812003927860697999426229315163956005948599411641136511205223193475550380320230133084154279949765156670676269330849581306624624108113513163429788502542506682748085654436785448242470298182912783330192891996179494344544010772521774608747900609095639404072705281899977305040958536619301463977775672008600359909012185885430245434536492886102187967691595166708188933122033082813642062014612921186870358611570949133901016330136069545291998348371959354287398994131843639504526684357451070221988627655387338219792148280870494547060119766501441283601308944354529408482920379576450559664271122322451667833355068910292954471158306917329349501137778291297541461354411826601475255806838688449201449192798862478445488829721435243978718038942950004929733186723}
19660  79397079565727910779128560190839451971494662562246508204959425828904637: {1624891,1741819,1975459,2092171,2390834,3686492,3718579,3834211,4155836,4411291,4526491,4624892,4641619,4960874,4986571,5216179,5445499,5718236,5891114,6123314,6186332,6929059,7050674,7588892,7722859,8055836,8206634,8625739,8833436,8898482,9187699,9358994,9635971,9971419,10507754,10737074,11123144,11195851,11626172,12301411,12513537,12521659,12647805,12995144,13018652,13290259,13477682,13482236,13490992,13945532,14055331,14382139,14619537,15025436,15177366,15466819,15487772,15745682,15798824,16114171,16197554,16221811,16651651,16874282,16883349,17080339,17334236,17401099,17614579,17641532,17665064,17721211,17773677,17795132,18102236,18562652,19348161,19873197,20099225,20860412,21471932,21797354,21811461,21930236,22019474,22445131,23033525,23127914,23166859,23680219,23942589,23987371,24119070,24191779,25108051,25715659,25727008,25966025,26018491,26042012,26800892,27423139,27553281,27640230,27816657,27962282,28316252,28417819,28615891,28912459,28942884,29109811,29208379,29482912,29526236,29739464,29979452,30011541,30583292,30664232,30873019,31001829,31159230,31345197,31952805,32241212,32413677,32468289,32516851,32801525,33168276,33236512,33283219,33378691,33456897,33950011,34045436,34082992,34234699,34495772,34497261,34990699,35279432,35366971,35551117,35728025,35921301,36148394,36200744,36302611,36581899,36674851,36990861,37210034,37391076,37508179,38056754,38237372,38343366,38652725,38961224,39066331,39361830,39429931,39520651,39689361,39829461,40063459,40423891,40513819,40725837,40798664,41303521,41420594,41930817,41985952,42562291,42873630,42976221,43442012,43528531,43550504,43831377,43913121,44034332,44169765,44204765,44333714,44729349,44774012,44832091,45367274,45731872,45798189,45898497,46204699,46383270,46587957,46884091,47013482,47053219,47114416,47135612,47234196,47416025,47423594,47650605,47726851,48336185,48562411,48648845,48901436,48994317,49195292,49390771,49475488,49555579,49966339,50031141,50130139,50538379,50658245,50787310,50827312,51154701,51395132,51448356,51834236,51865805,52098482,52233331,52277525,52702634,52791259,52853109,52863765,53003718,53045718,53104682,53249225,53733692,53974939,54107282,54506024,54755059,55316989,55373971,55504874,55659924,55718637,55918652,56141131,56209436,56388016,56899230,56976691,57180726,57226172,57278371,57686834,57728731,58003422,58081682,58378614,58547659,59005030,59064259,59399612,60014299,60047282,60122492,60692512,60789894,60880459,60926285,60944772,61018629,61023811,61024682,61319277,61530765,61594339,61736251,61807099,62238966,62511619,62581034,62733030,62791411,62861179,63436518,63549074,63554899,63692779,63899070,64155836,64173091,64586492,64873436,64990005,65123131,65282474,65376005,65592859,65632816,65700965,65859691,66003301,66306236,66426657,66431594,66718005,66850051,66915232,67046179,67111411,68021372,68069229,68083784,68159008,68279076,68295545,68326881,68464651,68807981,69092714,69097891,69322672,69498350,69723931,70158812,70219579,70342771,70527019,70600682,70759941,70806036,71165872,71257531,71498731,72096691,72141245,72215419,72510979,72553300,72641225,72687451,72746131,72997532,73111542,73181045,73191489,73328971,73403282,73502419,73675219,73836918,74001669,74246539,74741649,74922619,75100805,75272264,75279636,75533251,75622034,75862651,75964412,76405891,76594257,76678884,76683061,76979877,77154331,77372252,77732491,77888659,77940571,77988006,78002282,78312417,78451206,78496197,78506851,78577565,78764854,78783765,78841158,78859221,78911282,79024270,79057436,79164859,79273874,79478012,79514131,80061606,80250691,80396059,80427381,80823169,80875939,81018499,81078194,81160411,81207571,81341525,81489019,81814099,81855836,81954654,82044139,82317811,82405385,82832252,83255251,83398020,83430211,83473771,83905411,84036016,84238025,84292900,84329851,84338309,84371899,84681297,84820394,85335836,85359451,85877059,86029436,86073117,86404754,86535571,86569494,86573659,86838259,86950579,87037550,87062251,87063960,87132725,87169470,87210139,87279914,87817254,87861379,88074177,88097225,88143331,88317211,88455019,88625659,88693411,88727179,88957888,88965569,89192594,89290219,89478609,89485436,89643451,89761052,89957011,90056234,90120966,90141691,90174236,90263782,90320165,90383899,90587132,90744554,90883291,90916274,90976641,90997771,91195339,91278931,91389379,91416811,91471459,91606819,91872139,91976251,92025037,92053579,92206291,92331571,92455274,92479531,92589441,92624899,92647292,92720371,92814691,92838091,92868224,92980768,93395589,93421219,93441021,93569899,93613366,93673939,93876619,93879932,93880025,93966632,94091251,94260379,94290430,94293078,94540518,94546651,94700252,94716211,94829124,94862659,94972531,95007381,95048851,95308699,95582371,95655836,95689939,95856259,95887579,95987299,96034459,96181339,96197251,96235771,96265291,96339017,96371851,96418219,96436837,96455011,96474451,96497131,96505699,96513979,96518011,96533419,96586051,96616579,96628171,96679221,97220717,97290332,97498664,97609830,97666994,97946955,98600405,98633521,98886462,99261224,99975314,...,5017887433690724193017328941525800895803858143156039835149035817753732308684827485324575981965273516792602728503602577580417545424849199386459515235640892889888356992486017041638751541514469893555300107484623070655578229455118115415054221990258283526956913620658595152963613472283695244588172542407205901709047599271275149828605409390067974130645615129799064723140484548701928867192997259686493090152121618094285580737183199540017235598460337513106730964815650518956545790388903586512198680583032060829939509241514491059075753557609904547716398113413530366459216994103041659805099625934769933971091066789611977301691284679897602773752336328642507563515503872816798222833493863411261469466030470623846097238286818338913222062226659801621980561743041383329347079001934427156369356863649991057829831245648139895832891861881772353935463096955273624762371346808016488483645114093802988784910193547645966463445731077874704078144878816814272925398659337363164018676313541924421546953085065538961672610246972036668719106575550594491472635694797156305338479901227939744222604414552436194937119322427589711713432046038821427431585210369891111442638844047812894209848632617199077475441489202656374851111895445555064180199697192416856575497150529618961113304016330660170797589847917002085341598699735090704570683989903434653843904721413878410551113578894334627785661398819851204875172153174131560431504743118160926264645553058961546822296583748448329817619721445433271441256489618008286427954198837458246111932824786189446890312202755875167366246229218771537577154629907977712298262744125906322870230282377012151539511447693410728954057490875604207773840831662800535221324273222619282993982097778091646110262583483480291573103494144975419274119061017171420279456206483587577657914952197586322362776870796336840146601148486230644209932798632517129331371526159038683319712252614117065972875927070893679208334430586829067214230345266661260047513103827172580840354023197607823601564662129829490870406676116392044054287791862738525162576848340535786360138393637794931817138464796752425466484706068402127000693678343312940910338752922503564378737520802168674489828583058348338965118793805539184330435699269540002906786797438011627602550789662708020822281646489843062532860456628443478113996952108142021646066700821776720617115610443478319577640777585098951221648429551973951397789892053608964113858377082671903814263999234972420218608007931465882188182014940297591300733840426973510778872373266353542227568359107799441742166165477484684217906384670056675576997447539249047264323293730910550377773590522661572659126058681030029032811663867478794185872096940375866636406721278048825735285303700896011467146545349581180573660579381990514802917290255460222277585244162710777084856082686150561582493811482094598845201355106848092727055997797829279139049865325509124852672702245809934760295984836873849784293056197707827326062746826355335255044801745259139372544643893839435267412885694829763268890444473425213723939294877742556439132668183704388396721948472549102135300341075784917932268598923731816637927318439628580325304957385257266673239644248964}
19661  79707596595145036360451079587705829267498081693805345159833168557831096: {19661,3586251,4608115,5194795,5529738,5781115,6233754,6937338,7147795,7441311,7732915,8577354,8836671,8843659,9184971,9279498,9486115,9732751,10069795,10134751,10576011,11041795,11370751,11383338,11425051,11804618,12083754,12309951,13079203,13250154,13347723,13663291,13823971,13903930,14038491,14432671,14532715,15456931,15658003,15720331,15761631,16105611,16243930,16273315,16486123,16684716,16852795,16863740,17007199,17431915,17439258,18069571,18479971,18781795,18863858,19359715,19492716,19527978,19748530,20216523,20223354,20236488,20307571,20863051,20918298,21667795,21916154,21952543,22051915,22081330,22243915,22298203,22511132,22538154,22627795,22629763,22766049,23002111,23099402,23203315,23231658,23429659,23618523,23698236,24287611,24296331,25311423,25797548,26001354,26022031,26075515,26401279,26462298,26497596,26692698,26831203,26839915,27153354,27181531,27412795,27466531,27561818,27843978,28532431,29081948,29707411,29822618,30158911,30579274,30844543,30869503,31290618,31675651,31923452,31962139,32021498,32158760,32165011,32207898,32552515,32696031,32895354,33029211,33064123,33501115,33555331,34044403,34091071,34216291,34514251,34621099,34691871,35395315,35538703,35698831,35790271,35795359,36178605,36737708,36853640,36907795,37064731,37088876,37174330,37474315,37499179,37519051,37665434,38106691,38229115,38296522,38330290,38338399,38378731,38590512,38762779,39063018,39283498,39552991,40015388,40201338,40301515,41225114,41307211,41335772,41406403,41460345,41545640,41793596,41943423,42474378,42556795,42603740,43049359,43119715,43218236,43291052,43414326,43595971,44099290,44224368,44289354,44473898,44609196,44795923,44969178,45250930,45304363,45431803,45874938,45996348,45999514,46738845,47244394,47654431,47692771,47743354,47796715,47895068,48065791,48311731,48361818,48499231,48701530,48917059,48921499,49321148,49339514,49621183,49752414,49765771,49854768,50440483,50998330,51068154,51124488,51365731,51743658,52336154,52482440,52919148,53105948,53131978,53383258,53712091,53913619,54222591,54301116,54302515,54438130,55042915,55195498,55295203,55815051,55907756,55967515,56058451,56086591,56086614,57085131,57164840,57206299,57264211,57301628,57311371,57348379,57356058,57428714,57515049,57768799,58441836,58550828,58774591,58893020,58919515,59029531,59042745,59167378,59573311,59639132,59887651,60010411,60179698,60657338,61064252,61126795,61197996,61447651,61494115,61844360,62117276,62130891,62270138,62978928,63293299,63534140,63994603,64243915,64310445,64785331,64792795,65128003,65163018,65214991,65325756,65817874,65863231,66051498,66193663,66500571,66708188,66788803,66971962,67045171,67103794,67161018,67167115,67414171,67768363,68029183,68050911,68132530,68206268,68597808,69390091,69574905,69706171,69898315,70261795,70328059,70340479,70470812,70485020,70498298,70520223,70671624,70703418,70727624,70851294,71135391,71268619,71532715,72035498,73352154,73531514,73625011,73792938,74084299,74096539,74213232,74249515,74291516,74653354,74788111,74930203,75153115,75426634,75865640,76180965,76190431,76240968,76668922,77092698,77172534,77337896,77751354,77838152,78147723,79053951,79494091,79505577,79554098,79568577,79657023,80194795,80543962,80600538,80733115,80897402,80999491,81053192,81091795,81160923,81171871,81259696,81358172,81758314,81759036,81815359,82041020,82220803,82568954,82882795,82985288,83257311,83489886,83644040,83877978,84186043,84314154,84582024,84701803,84907339,85026715,85104730,85198760,85311331,85348845,85430671,85771089,85839258,86530251,86652451,86653340,86853571,87005133,87066811,87122523,87567921,87698515,88087171,88109023,88507545,88568876,88635679,88957340,89099418,89251411,90021763,90070923,90183738,90375931,90691625,90758972,91038768,91102508,91117279,91184841,91246915,91417158,91537023,92029963,92475679,92769919,93358449,93595711,93871551,94090330,94099545,94279231,94346588,94408048,94626442,94955515,95154777,95323611,95848605,96233754,96715315,96836863,96879738,96988474,97310154,97392763,97442938,97482056,97588652,97923711,98100703,98356111,98449224,98543071,98668892,98821795,99015403,99347515,99459354,99647391,99655532,...,7526831150536086289525993412288701343705787214734059752723553726630598463027241227986863972947910275188904092755403866370626318137273799079689272853461339334832535488729025562458127312271704840332950161226934605983367344182677173122581332985387425290435370430987892729445420208425542866882258813610808852563571398906912724742908114085101961195968422694698597084710726823052893300789495889529739635228182427141428371105774799310025853397690506269660096447223475778434818685583355379768298020874548091244909263862271736588613630336414856821574597170120295549688825491154562489707649438902154900956636600184417965952536927019846404160628504492963761345273255809225197334250240795116892204199045705935769145857430227508369833093339989702432970842614562074994020618502901640734554035295474986586744746868472209843749337792822658530903194645432910437143557020212024732725467671140704483177365290321468949695168596616812056117217318225221409388097989006044746028014470312886632320429627598308442508915370458055003078659863325891737208953542195734458007719851841909616333906621828654292405678983641384567570148069058232141147377815554836667163958266071719341314772948925798616213162233803984562276667843168332596270299545788625284863245725794428441669956024495990256196384771875503128012398049602636056856025984855151980765857082120817615826670368341501941678492098229776807312758229761197340647257114677241389396968329588442320233444875622672494726429582168149907161884734427012429641931298256187369167899237179284170335468304133812751049369343828157306365731944861966568447394116188859484305345423565518227309267171540116093431086236313406311660761247494200802831986409833928924490973146667137469165393875225220437359655241217463128911178591525757130419184309725381366486872428296379483544165306194505260219901722729345966314899197948775693997057289238558024979568378921175598959313890606340518812501645880243600821345517899991890071269655740758871260531034796411735402346993194744236305610014174588066081431687794107787743865272510803679540207590456692397725707697195128638199727059102603190501040517514969411365508129383755346568106281203253011734742874587522508447678190708308776495653548904310004360180196157017441403826184494062031233422469734764593799290684942665217170995428162213032469100051232665080925673415665217479366461166377648426832472644327960927096684838080413446170787565624007855721395998852458630327912011897198823282273022410446386951100760640460266168308559899530313341352538661699162613249248216227026326859577005085013365496171308873570896484940596365825566660385783992358988689088021545043549217495801218191278808145410563799954610081917073238602927955551344017200719818024371770860490869072985772204375935383190333416377866244066165627284124029225842373740717223141898267802032660272139090583996696743918708574797988263687279009053368714902140443977255310774676439584296561740989094120239533002882567202617888709058816965840759152901119328542244644903335666710137820585908942316613834658699002275556582595082922708823653202950511613677376898402898385597724956890977659442870487957436077885900009859466373446}
19662  80019319429920531160617199287169511754217870284577979127270381179077031: {1039277,1156577,1547057,2014577,2131277,2558561,3249782,3371597,3483638,3487457,3718961,3757517,3873137,3950918,4184342,4450157,4526957,4642097,4680461,4781668,5254961,5446061,5484257,6816077,7194797,7372984,7437158,7497197,7668422,8288561,8294607,8311672,8514017,8626637,8822582,9052982,9188657,9249784,9283238,9350631,9562337,9921748,9972461,9973142,10009697,10344461,10406007,10432358,10890998,11307917,11436472,11782228,12008561,12246628,12372664,12412877,12559661,12866031,12962657,13858118,13919247,14056817,14101348,14202161,15177784,15445718,15504497,16111672,16151777,16413268,17075007,17224817,17251478,17666872,17706927,17796964,18125631,18148961,18361457,18375398,18502961,18717988,19271942,19875231,19875917,19942838,20575277,20819297,20855895,21015508,21079675,21474148,21826061,22171661,22246288,22391702,22550897,22654157,22997837,23252344,23580257,23716961,24228461,24365895,24602822,24907661,25027074,25043318,25110797,25295610,25718477,25990288,26037304,26054957,26122157,26158887,26222897,26424161,26580518,26758961,26926061,26955364,26964472,26981984,27126317,27758561,27891064,27957617,28110662,28138915,28295787,28764278,28915661,29113037,29211617,29239074,29244461,29291967,29622795,30050872,30335031,30354732,30908897,30933638,30975544,31070957,31200461,31377447,31394477,31491364,31491377,31597648,32228342,32246935,32328161,32395108,32443622,32520497,32874231,33121995,33286961,33303302,33318797,33414257,33748564,33763661,33766698,33807231,33953837,34160678,34270157,34522637,34649103,34668472,34802198,34847487,34994657,35214317,35229158,35283064,35330128,35370977,35442422,35547354,35590264,35933297,36151277,36204472,36306737,36352435,36586061,36617057,36709997,37050161,37125304,37543217,37696877,38095457,38614637,38696322,39002031,39070817,39464717,39525197,39693447,39746394,39904315,40039047,40098161,40198450,40548461,40730031,40996961,41342727,41720824,41765967,41770097,42302177,42508397,42943864,42948977,43475297,43594708,43622922,43860472,44038948,44491277,44664461,44733927,44837357,44890262,45554657,45783137,45868911,45922135,46067050,46068017,46238561,46255828,46333718,46361095,46380461,46935927,47086961,47360438,47480417,47676557,47885178,47928161,47974742,48032247,48238140,48311847,48383558,48651377,49343031,49479137,49561517,49588961,49999661,50019235,50136161,50216102,51193997,51431318,51454016,51463277,51669715,51932050,52036982,52084024,52241995,52266317,52426061,52797677,53062157,53254675,53352161,53601784,53981537,54007661,54022795,54113815,54164237,54294497,54372557,54554417,54787661,54846278,55106562,55149197,55280460,55457837,55633314,55714157,55761495,55924564,56173517,56498151,56632504,56835638,57231782,57310577,57444783,57460961,57495435,57735917,57824918,57885768,58219622,58416758,58594527,58702961,58925247,58948961,58965824,59052472,59478928,59536097,59803661,59868835,59958904,60023082,60302007,60311777,60912077,61166584,61328464,61341197,61651435,61744097,61746038,61814957,61837671,61838561,61886671,62003658,62318460,62659661,62690394,62799437,62869217,62892461,63563057,63711567,63723917,63905610,63930161,64482424,64827354,64936578,64951661,65033702,65064161,65121489,65154017,65603050,65623661,65734961,65934797,66148935,66336552,66382435,66434031,66473024,66566438,66596237,66710847,66749537,66757382,66858797,66913794,67054961,67380461,67453767,67670659,67833137,67876395,67900022,68090872,68108383,68165984,68367437,68469398,68473697,68812407,68875661,68991544,68994522,68999271,69795437,69884695,69981398,70105457,70556897,70558864,70658957,70733942,70866591,70921543,71102234,71166257,71267117,71456050,71615031,71627035,71648561,71842602,72296788,72363377,72401488,72422477,72542727,72605222,72612127,72638561,73052295,73163798,73188535,73242317,73349702,73396877,73531697,73553359,73616275,73981722,74009271,74256737,74275661,74389037,74420068,74445617,74548915,74628621,74782152,75016358,75488561,75763661,75873197,76113508,76330315,76474744,76497495,76602231,76686732,76846061,77129837,77182817,77305450,77376461,77615487,77646595,77916977,77922448,78055217,78132662,78504231,78586061,78670961,78723660,78859862,79041302,79176161,79192877,79378722,79417675,79658922,79697967,79920461,79985837,80074887,80126918,80229857,80262257,80568461,80847782,81027638,81046061,81219377,81318523,81451674,81500897,81597328,81609677,81657195,81826061,82193357,82299617,82607042,82793247,82841188,83194337,83385235,83457137,83544161,83616461,83861634,83917937,83971904,84129921,84342497,84552077,85020461,85124582,85257835,85296799,85492961,85747260,85903277,85952442,85968737,86007917,86034087,86143071,86202737,86331617,86548877,86586977,86599661,86713457,86776397,86864177,86884024,86901677,87057062,87101008,87235937,87660557,87662754,87708461,87762631,87826242,87839537,87886961,88051937,88068664,88088515,88106275,88339530,88342637,88400177,88409530,88582961,88667428,88751067,88875617,89075057,89239277,89304461,89458698,89466161,89508977,89548024,89664182,89784161,89878157,90002477,90156257,90269547,90408557,90704717,90734548,90792161,90984161,90986007,91022177,91210337,91441037,91463744,91495661,91526407,91596378,91621997,91630961,91764461,91796994,91981351,92026061,92068961,92120177,92204897,92330477,92355377,92409398,92616497,92640557,92688461,92766540,92814797,92838257,92853857,92864395,92992817,93159137,93175914,93405207,93543917,93690161,93768182,93892961,93919457,93958961,94026964,94050017,94106438,94189937,94208717,94228832,94260463,94271224,94283117,94338161,94468392,94493537,94569197,94654817,94666097,94832050,94847188,94879661,94911437,94989617,95298317,95301210,95344397,95398637,95453702,95486477,95541857,95591777,95613763,95648561,95711537,95824097,95834957,95842157,95874161,95908961,95956337,95976161,96037037,96118577,96161357,96199661,96249137,96254177,96261677,96359117,96386417,96408461,96416237,96454961,96465377,96478817,96494897,96546161,96552461,96570161,96595661,96605297,96628397,96636461,96638957,96640097,96646961,96647777,96648161,96648557,96672370,97124822,97297690,97744527,97802872,97988634,98390584,98726811,98781542,98950976,99077247,99111158,99672547,99932678,...,11290246725804129434288990118433052015558680822101089629085330589945897694540861841980295959421865412783356139133105799555939477205910698619533909280192009002248803233093538343687190968407557260499425241840401908975051016274015759683871999478081137935653055646481839094168130312638314300323388220416213278845357098360369087114362171127652941793952634042047895627066090234579339951184243834294609452842273640712142556658662198965038780096535759404490144670835213667652228028375033069652447031311822136867363895793407604882920445504622285232361895755180443324533238236731843734561474158353232351434954900276626948928805390529769606240942756739445642017909883713837796001375361192675338306298568558903653718786145341262554749640009984553649456263921843112491030927754352461101831052943212479880117120302708314765624006689233987796354791968149365655715335530318037099088201506711056724766047935482203424542752894925218084175825977337832114082146983509067119042021705469329948480644441397462663763373055687082504617989794988837605813430313293601687011579777762864424500859932742981438608518475462076851355222103587348211721066723332255000745937399107579011972159423388697924319743350705976843415001764752498894405449318682937927294868588691642662504934036743985384294577157813254692018597074403954085284038977282727971148785623181226423740005552512252912517738147344665210969137344641796010970885672015862084095452494382663480350167313434008742089644373252224860742827101640518644462896947384281053751848855768926255503202456200719126574054015742235959548597917292949852671091174283289226458018135348277340963900757310174140146629354470109467491141871241301204247979614750893386736459720000706203748090812837830656039482861826194693366767887288635695628776464588072049730308642444569225316247959291757890329852584094018949472348796923163540995585933857837037469352568381763398438970835909510778218752468820365401232018276849987835106904483611138306890796552194617603103520489792116354458415021261882099122147531691161681615797908766205519310311385685038596588561545792692957299590588653904785751560776272454117048262194075633019852159421804879517602114311881283762671517286062463164743480323356465006540270294235526162105739276741093046850133704602146890698936027413997825756493142243319548703650076848997621388510123497826219049691749566472640248708966491941390645027257120620169256181348436011783582093998278687945491868017845798234923409533615669580426651140960690399252462839849295470012028807992548743919873872324340539490289365507627520048244256963310356344727410894548738349990578675988538483033632032317565323826243701827286918212218115845699931915122875609857904391933327016025801079727036557656290736303609478658306563903074785500124566799366099248440926186043838763560611075834712847401703048990408208635875995045115878062862196982395530918513580053072353210665965882966162014659376444842611483641180359299504323850803926833063588225448761138729351678992813366967355003500065206730878863413474920751988048503413334873892624384063235479804425767420516065347604347578396587435336466489164305731936154116828850014789199560169}
19663  80332252719239622398387789859242066968960321064371343310743162870188366: {39322,4874673,5225457,5926377,5977085,6276513,6451361,7172502,7272713,8093561,9216230,9275057,10006913,10389590,10451597,10826081,11059476,11155737,11502633,11562230,11977433,12334061,12402185,12467508,13233873,13280561,13502333,13579473,13874676,13924857,13981217,14097713,14295590,14329793,14727785,14882622,14959713,15270737,15308285,15458513,15465830,15648537,16336497,16682153,17056793,17154708,17500121,17623097,17626685,17673342,17687318,18369942,18558996,18578573,18972230,19381433,19465502,20099417,20139590,20269502,20345801,20516585,20787177,21027581,21152022,22083590,22246205,22696697,22741502,22766676,22782641,22850102,23168577,23397485,23432057,23593913,23609236,24167508,24404681,24619902,24656333,24921521,25877217,26158406,26269385,26294513,26500308,26695446,26842685,27103601,27144977,27184313,27326582,27563097,27647942,27689597,27807860,28076982,28865342,28907913,29065430,29914257,30334913,30872681,30913862,31141481,31156553,31316006,31440662,31523262,31678913,32211222,32391161,32484641,32487860,32546630,32972246,33369432,33587553,33694205,33705590,33727480,34014398,34219793,34863830,34878516,34943777,36139142,36197873,36505721,36904233,36959942,37008761,37503017,37540611,37563590,37564977,37575881,37727716,37773437,37943415,38241737,38377913,38719430,38766761,38985432,39055956,39364205,39497060,39870777,40433046,40446708,40472976,40493885,40615142,41726102,41836596,41933057,42165993,42185705,42297593,43146417,43335590,43600433,43803773,43832308,43858611,43905086,44103830,44162660,44262017,44487830,44596406,45022264,45076308,45122561,45255590,45259526,45309017,45532098,45573521,45810557,46004222,46095041,46198804,46400457,46406630,46463316,46859318,46901561,47237046,47396472,47659337,47885297,48342513,48486761,48575222,48592662,48665433,48817613,48926537,48964217,49553441,49954953,50622846,50650047,50776721,51241017,51303257,51595096,51670913,52002708,52016141,52044062,52151030,52203297,52464041,52802558,52812653,52843737,52924596,52995192,53163633,53321031,53385396,53520761,53662406,53679830,53919137,53987393,54306708,54363062,54493385,54825590,54933062,55048685,55123636,55687956,56318873,56332193,56422121,57064862,57317273,57774761,57816317,57819785,58044483,58163896,58339097,58814093,59414822,59579513,59619591,59645236,60016553,60297675,60317822,60367601,61151561,61158548,61689086,61739006,61800521,62344697,62581236,63299777,63351302,63846904,63924278,64001177,64042996,64317520,64330022,64415796,65105030,65392062,65434383,65789201,65790708,66058422,66128246,66284153,66380777,66915401,66933257,67002230,67052033,67110662,67335393,67685297,67775357,68088806,68182142,68272217,68432582,69028502,69100575,69242198,69383742,69397193,69500577,69762173,69905705,70335257,70353113,70790630,71040657,71077406,71397662,71580542,71590718,71827767,71844281,71962113,72357210,72575337,72712061,72790121,73019273,73475416,73632593,73707280,73815590,74129462,74177752,74348660,74745137,74948630,74998358,75038102,75324153,75330868,75590381,76023521,76213382,76458230,76593044,76660580,76676798,76757462,77060081,77146977,77181024,77525558,77898075,77906897,78055473,78126036,78354521,78566996,79105982,79193561,79671293,80030776,80349137,80402676,80603030,81776297,82269417,82286777,82450228,82487321,82614422,82659843,82671544,82812806,82920690,83091280,83129657,83449971,83587192,83745521,83886846,84120017,84588761,84948756,85113590,85207480,85253457,85316057,85577513,85847673,86091761,86098718,86239430,86325233,86436472,86582104,86737377,86828652,87191942,87329433,87568637,87625137,88198580,88448736,88578708,88678781,88846337,88947796,88981457,89058761,89218392,89591846,89938356,89941481,89991977,90034623,90370985,90501860,90608726,90709913,90863606,91540097,91749876,91992696,91999028,92039417,92619057,92779577,93005487,93025085,93477690,94033961,94035591,94288937,94488788,94666721,94784513,95141885,95308862,95385542,95486708,95593430,95790136,95858415,95930393,96131582,96623462,96723636,96846857,96998462,97241031,97403060,97404867,97550553,97834118,97842998,97857641,98366513,98376857,98404575,98642296,98679028,98789741,99242366,99504828,99531542,99589793,99709536,99751577,99849657,99934361,...,15053662301072172579051986824577402687411574429468119505447107453261196926054482455973727945895820550377808185510807732741252636274547598159378545706922678669665070977458051124916254624543409680665900322453869211966734688365354346245162665970774850580870740861975785458890840416851085733764517627221617705127142797813825449485816228170203922391936845389397194169421453646105786601578991779059479270456364854282856742211549598620051706795381012539320192894446951556869637371166710759536596041749096182489818527724543473177227260672829713643149194340240591099377650982309124979415298877804309801913273200368835931905073854039692808321257008985927522690546511618450394668500481590233784408398091411871538291714860455016739666186679979404865941685229124149988041237005803281469108070590949973173489493736944419687498675585645317061806389290865820874287114040424049465450935342281408966354730580642937899390337193233624112234434636450442818776195978012089492056028940625773264640859255196616885017830740916110006157319726651783474417907084391468916015439703683819232667813243657308584811357967282769135140296138116464282294755631109673334327916532143438682629545897851597232426324467607969124553335686336665192540599091577250569726491451588856883339912048991980512392769543751006256024796099205272113712051969710303961531714164241635231653340736683003883356984196459553614625516459522394681294514229354482778793936659176884640466889751245344989452859164336299814323769468854024859283862596512374738335798474358568340670936608267625502098738687656314612731463889723933136894788232377718968610690847131036454618534343080232186862172472626812623321522494988401605663972819667857848981946293334274938330787750450440874719310482434926257822357183051514260838368619450762732973744856592758967088330612389010520439803445458691932629798395897551387994114578477116049959136757842351197918627781212681037625003291760487201642691035799983780142539311481517742521062069592823470804693986389488472611220028349176132162863375588215575487730545021607359080415180913384795451415394390257276399454118205206381002081035029938822731016258767510693136212562406506023469485749175045016895356381416617552991307097808620008720360392314034882807652368988124062466844939469529187598581369885330434341990856324426064938200102465330161851346831330434958732922332755296853664945288655921854193369676160826892341575131248015711442791997704917260655824023794397646564546044820892773902201521280920532336617119799060626682705077323398325226498496432454052653719154010170026730992342617747141792969881192731651133320771567984717977378176043090087098434991602436382557616290821127599909220163834146477205855911102688034401439636048743541720981738145971544408751870766380666832755732488132331254568248058451684747481434446283796535604065320544278181167993393487837417149595976527374558018106737429804280887954510621549352879168593123481978188240479066005765134405235777418117633931681518305802238657084489289806671333420275641171817884633227669317398004551113165190165845417647306405901023227354753796805796771195449913781955318885740975914872155771800019718932746892}
19664  80646401130085956509089106121846561917159614330657814739642299803813327: {58983,1195783,1312999,2078554,2313154,3062599,3094114,3178663,3526423,3757903,4029154,4262554,4335343,4680943,5117122,5370199,5484823,6399223,6499564,6743194,6967276,6974914,7437922,7515034,7648999,7746274,7901836,8327023,8368684,8777599,8900314,9053914,9284194,9360922,9563336,10010743,10509922,10758753,10892122,10968514,11013199,11678263,13110343,13632154,13824345,14203663,14389594,14745968,14874316,14994394,15336844,15584385,16476199,16577122,16589214,16623344,17012599,17028034,17253274,17343345,17645164,18105964,18377314,18499568,18566476,18701262,19124674,19843496,19944922,19946284,20019394,20688922,20812014,20821543,20864716,21443385,21655303,21781996,22323933,22381063,22615834,22691023,22794199,22872944,23198745,23564456,23821999,24017122,24493256,24745328,24825754,25119322,25732062,25925314,26359999,26460583,26510013,26530977,26962423,27554913,27716236,27761623,27838494,27960703,28113634,28202696,28357999,28404322,28458345,29198253,29247703,29511545,30209385,30355568,30404253,30424903,30891436,31008994,31203943,31397983,31728033,31881823,32171263,32223344,32303554,32826536,33125385,33322543,34112253,34150014,34275153,34449634,34502956,34558063,34759825,35333744,35413854,35593928,36251262,36297922,36621223,36722914,36750796,36929853,37005922,37085263,37435976,38543884,38740903,39237609,39394481,39650623,39741199,39750462,39751834,39885676,40043169,40609825,40642999,40989873,41001703,41150554,41471913,41638594,41711790,42031016,42115473,42159350,42513343,42948296,43298013,43598145,43652122,43742599,44343322,44492576,44611999,44783404,45101794,45145709,45308314,45388303,45474199,45560023,45995674,46370793,46504688,46974009,47159645,47160514,47160993,47284893,47433922,47682223,48316833,48456922,48731790,48819945,48850999,49205644,49371325,49458369,49594903,49815322,50054148,50086636,50221594,50558385,50591220,50821783,50893409,51021597,51436954,51980576,52074608,52109914,52244314,52295745,52317774,52445794,52512199,52848322,52909999,53161036,53384983,53517922,53852122,53910728,53928944,53963968,54014263,54208713,54252634,54405223,54790385,55181743,55203325,55439913,55517122,55721023,55782128,55866041,55915234,56221324,56277830,56345385,56591574,57528556,57748505,57831322,57917599,58079145,58215823,58226074,58423234,58478148,58488922,58583934,58734943,58956343,59245590,59397199,60101744,60649569,60670062,60709464,60847999,60922713,61206199,61817794,61846423,61867276,61951088,62141914,62400922,62589153,62690983,62754894,62788954,62900503,62982728,62982754,63195296,63317599,64290989,64417183,64456684,64493870,64656322,64790216,64887244,64905533,65003385,65040994,65748462,65765743,65857629,66155745,66243990,66573922,66606604,66637594,66692599,66731745,66828514,66894609,67410943,67497128,67527322,67533396,67614462,67669999,67883385,67889289,67907674,68298147,68321356,68540314,68904545,69006333,69045274,69200143,69298206,69325783,69336944,69604396,69609945,69694974,69825463,69989314,70026929,70288977,70428634,70458316,70566128,70660256,70741954,70855569,70884844,71094708,71180528,71477863,71866594,72302554,72337601,72408944,72613474,72668023,72704870,72844063,72862833,72888993,73138793,73172122,73234114,73419994,73426183,74100322,74250608,74285863,74342599,74399263,74556545,75086434,75393754,75462199,75517423,75631913,75759341,75934269,76190914,76337143,76448185,77140663,77229274,77392644,77404903,78004062,78066093,78083503,78141634,78226545,78392599,78597223,78929434,79050394,79203837,79204183,79386894,79492788,79603063,79808630,79948303,80053745,80078094,80196322,80338543,80396900,80493609,80519745,80867599,81096922,81460062,81544593,81621583,81993922,82238385,82266199,82399593,82492999,82538143,82685454,83118463,83441648,83531934,83540194,83815999,83816369,84453199,84604354,84661999,84703543,84868999,85016794,85439023,85597293,85887728,85897954,86034103,86312009,86612983,86802343,86926697,86950594,87189416,87245844,87614143,87720944,87722143,87971623,88077896,88112599,88425583,88459999,88800199,88982554,89122233,89328922,89467854,89619199,89674714,89777599,89780524,89809063,89965303,90363103,90476733,90806983,91109314,91262599,91566274,91646143,91737822,91779703,91844270,92134100,92136034,92220343,92295943,92477122,92511656,92533629,92608509,92667436,92722190,92760922,92935409,92935825,93062023,93175063,93871854,93875983,93895999,94072903,94163585,94173922,94354783,94480783,94551199,94720876,94804999,94960834,95026953,95103223,95334199,95353114,95402599,95521183,95609383,95741305,95770356,95786503,95825725,95856322,95874343,95886417,95949484,95977663,95987599,95997463,96064494,96082999,96103709,96179623,96204463,96252199,96429103,96473743,96476280,96478999,96495033,96499303,96623694,96649999,96658423,96665623,96767116,97302754,97657545,97838573,98088093,98208745,98686062,98958274,99087633,99123034,99177922,99192369,99999322,...,22580493451608258868577980236866104031117361644202179258170661179891795389081723683960591918843730825566712278266211599111878954411821397239067818560384018004497606466187076687374381936815114520998850483680803817950102032548031519367743998956162275871306111292963678188336260625276628600646776440832426557690714196720738174228724342255305883587905268084095791254132180469158679902368487668589218905684547281424285113317324397930077560193071518808980289341670427335304456056750066139304894062623644273734727791586815209765840891009244570464723791510360886649066476473463687469122948316706464702869909800553253897857610781059539212481885513478891284035819767427675592002750722385350676612597137117807307437572290682525109499280019969107298912527843686224982061855508704922203662105886424959760234240605416629531248013378467975592709583936298731311430671060636074198176403013422113449532095870964406849085505789850436168351651954675664228164293967018134238084043410938659896961288882794925327526746111374165009235979589977675211626860626587203374023159555525728849001719865485962877217036950924153702710444207174696423442133446664510001491874798215158023944318846777395848639486701411953686830003529504997788810898637365875854589737177383285325009868073487970768589154315626509384037194148807908170568077954565455942297571246362452847480011105024505825035476294689330421938274689283592021941771344031724168190904988765326960700334626868017484179288746504449721485654203281037288925793894768562107503697711537852511006404912401438253148108031484471919097195834585899705342182348566578452916036270696554681927801514620348280293258708940218934982283742482602408495959229501786773472919440001412407496181625675661312078965723652389386733535774577271391257552929176144099460617284889138450632495918583515780659705168188037898944697593846327081991171867715674074938705136763526796877941671819021556437504937640730802464036553699975670213808967222276613781593104389235206207040979584232708916830042523764198244295063382323363231595817532411038620622771370077193177123091585385914599181177307809571503121552544908234096524388151266039704318843609759035204228623762567525343034572124926329486960646712930013080540588471052324211478553482186093700267409204293781397872054827995651512986284486639097407300153697995242777020246995652438099383499132945280497417932983882781290054514241240338512362696872023567164187996557375890983736035691596469846819067231339160853302281921380798504925679698590940024057615985097487839747744648681078980578731015255040096488513926620712689454821789097476699981157351977076966067264064635130647652487403654573836424436231691399863830245751219715808783866654032051602159454073115312581472607218957316613127806149571000249133598732198496881852372087677527121222151669425694803406097980816417271751990090231756125724393964791061837027160106144706421331931765932324029318752889685222967282360718599008647701607853666127176450897522277458703357985626733934710007000130413461757726826949841503976097006826669747785248768126470959608851534841032130695208695156793174870672932978328611463872308233657700029578399120338}
19665  80961769347309252318648092816175680971385398055344333738014284097315997: {78644,3117831,3469731,4641171,6043731,6393831,7675683,8124455,8367919,8709095,9749346,9877295,10114791,10450914,10460855,10462371,10961431,11156883,11272551,11619411,11852754,11954170,12553026,12902722,13350471,13580871,13785127,13926291,14041383,14345004,14545426,15294323,15764883,16015651,16187122,16338183,16452771,17363059,17868323,18432460,18550114,18592895,18838483,19171055,20013826,20448231,20618899,20779180,20903194,21431599,21584391,21652162,21723383,22056455,22118952,22311474,22477759,22491591,22632455,23005266,23124460,23208095,23629439,23954866,24289463,24668122,24677359,24804370,24865683,24883821,24932855,24935016,25542051,25879911,26080895,26467746,26561122,26574131,27004666,27158946,27227495,27565971,27692431,27749352,27849714,27962434,28051893,28195426,28591180,28659586,28687011,28723219,29455570,29592767,29765244,29917383,29919426,30029091,30099071,30541474,30616570,30917026,30931660,31033383,31144687,31218021,31297074,31959443,32672994,32756479,32919023,33364306,33496247,33923751,34113586,34309416,34645295,35000242,35246194,35253370,35346684,35374636,35545079,36025683,36739884,36777139,37117992,37157146,37238631,37338131,37579759,37678983,37724879,37944460,38245651,38280463,38598093,38614295,38762866,38887971,38931004,40024991,40198834,40279180,40539004,40691602,40891763,41033170,41297191,41574354,41757741,42055162,42163319,42170451,42304044,42527783,42606483,43128695,43232339,44167180,44492410,45393394,45393743,45483004,45533352,45565282,45700204,45815263,45938495,46337154,46513491,46794970,46864114,47064071,47171887,47187826,47218472,48179855,48335016,48455331,48509219,48809362,49239804,49312666,49776023,49843042,49857095,51225021,51517987,51674451,51754434,52316812,52538770,52589026,53000616,53120781,53326663,53390892,53571683,53685370,54207202,54237107,54289954,54368626,54376893,54446883,54653164,54941231,55084371,55109887,55126194,55295884,55379194,55508883,55615720,55979255,56098163,56153964,56324671,56691439,56918783,57730684,57815826,57822271,58130860,58135687,59059987,59244167,59625693,59627751,59828514,59881943,60338851,60669826,61142231,61507055,61725831,61745362,61827724,62282962,62313106,62362483,62457891,62567685,62608295,62632012,62881324,63046524,63176879,63239025,63357826,64422444,64782322,64969282,64975720,65093260,65478183,65944492,66387571,66451295,66498023,66514983,66738864,67175106,67388410,67411180,67454960,67652691,67962471,68028796,68279263,68439586,68993511,69727660,69757032,69887554,70096759,70276655,70740771,71150883,71910695,72278284,72395746,72685383,72719503,73011442,73097685,73529107,73532783,73808466,73919884,74017522,74722983,74945639,74945783,75006034,75081222,75127180,75129954,75151762,75332391,75455432,75546874,75886830,76290739,76483474,76755826,76799059,77068159,77155431,77334095,77438860,77467151,77533522,77970864,78111912,78164871,78366471,78476661,78668691,78728410,78994120,79272483,79741554,80129171,80276883,80570855,80778183,80866092,80893416,80945952,80947699,80987770,81109055,81230284,81378951,82295251,83258255,83275683,83452204,83673192,83866114,83872851,84331986,84371410,84416745,84483367,84595186,84719279,84887361,85401695,86292834,86671180,86746983,86971543,87005495,87200866,87339111,87607546,87634851,87664616,87674659,87717222,87733383,87810172,87875901,88072895,88207660,88325320,88524034,88606055,88620167,88868385,88975660,89192812,90044528,90152616,90245122,90511180,90519052,90618034,91005093,91064196,91147042,91199923,91621114,91635199,92008444,92190082,92397608,92726691,92800914,92813260,92926632,93212871,93601383,93615203,93718636,93803122,94132341,94183431,94288367,94474092,94474131,94792944,94794559,94958071,95318674,95770594,96685026,96740805,96973522,96984483,97150444,97185324,97330866,97561491,97635226,97645871,97853074,97867987,97928434,98386963,98622693,99106882,99365985,99860883,99909906,99956391,...,33870740177412388302866970355299156046676042466303268887255991769837693083622585525940887878265596238350068417399317398667818431617732095858601727840576027006746409699280615031061572905222671781498275725521205726925153048822047279051615998434243413806959166939445517282504390937914942900970164661248639836536071295081107261343086513382958825381857902126143686881198270703738019853552731502883828358526820922136427669975986596895116340289607278213470434012505641002956684085125099208957341093935466410602091687380222814648761336513866855697085687265541329973599714710195531203684422475059697054304864700829880846786416171589308818722828270218336926053729651141513388004126083578026014918895705676710961156358436023787664248920029953660948368791765529337473092783263057383305493158829637439640351360908124944296872020067701963389064375904448096967146006590954111297264604520133170174298143806446610273628258684775654252527477932013496342246440950527201357126065116407989845441933324192387991290119167061247513853969384966512817440290939880805061034739333288593273502579798228944315825555426386230554065666310762044635163200169996765002237812197322737035916478270166093772959230052117930530245005294257496683216347956048813781884605766074927987514802110231956152883731473439764076055791223211862255852116931848183913446356869543679271220016657536758737553214442033995632907412033925388032912657016047586252286357483147990441050501940302026226268933119756674582228481304921555933388690842152843161255546567306778766509607368602157379722162047226707878645793751878849558013273522849867679374054406044832022891702271930522420439888063410328402473425613723903612743938844252680160209379160002118611244272438513491968118448585478584080100303661865907086886329393764216149190925927333707675948743877875273670989557752282056848417046390769490622986757801573511112408057705145290195316912507728532334656257406461096203696054830549963505320713450833414920672389656583852809310561469376349063375245063785646297366442595073485044847393726298616557930934157055115789765684637378078871898771765961714357254682328817362351144786582226899059556478265414638552806342935643851288014551858187389494230440970069395019620810882706578486317217830223279140550401113806440672096808082241993477269479426729958646110950230546992864165530370493478657149075248699417920746126899475824171935081771361860507768544045308035350746281994836063836475604053537394704770228600847008741279953422882071197757388519547886410036086423977646231759621616973021618470868096522882560144732770889931069034182232683646215049971736027965615449100896096952695971478731105481860754636654347537099795745368626829573713175799981048077403239181109672968872208910828435974919691709224356500373700398098297745322778558131516290681833227504138542205109146971224625907627985135347634188586590947186592755540740159217059631997897648898486043978129334527834450923541077898512971552411780499190764676346283416188055036978440100902065010500195620192636590240424762255964145510240004621677873152189706439413277302261548196042813042735189762306009399467492917195808462350486550044367598680507}
19666  81278362073693209543271196311203631654060291243632317245921322228741848: {98305,117966,1625389,1742353,2092813,2209489,2391566,2625998,3835393,4157108,4527889,4626308,4643053,5102989,5676289,6125198,6188228,6357326,6703693,7052846,7515806,8058308,8525108,8670686,9361886,9638989,9750913,10234244,10740398,10969646,11199373,11310289,12415489,12798446,12999128,13486388,13622893,13934552,13949828,14624019,14875844,15030068,15038593,15297998,15492548,15579853,15676371,15803672,16226989,16654046,16737368,17555198,17726893,17779131,17800628,17833489,17931255,18107828,18568388,18721844,18829539,19126672,19354083,19529233,20021486,21019844,21517506,21518989,21784244,21818139,21937028,22026398,22555789,23040575,23356526,24280683,25724113,25973975,26127889,26220686,27264308,27631789,27648690,27825171,28407326,28779188,28905575,29020813,29218093,29491936,29748632,29988788,30020739,30673688,30688513,31168770,31354791,32478243,32952398,33154244,33178428,33246688,33389953,33467211,34025198,34056068,34506548,34507899,34686690,35284993,35290328,35738975,35932299,35941453,36211928,36408193,36687373,36754628,36999136,37002183,37132952,37206555,37402524,38249348,38664575,39534289,39686992,39701619,39841683,39889844,39892568,40038788,40437889,40506999,40527853,40738419,41316163,41377844,41624028,41643086,41729432,41774571,41943651,42293139,42312013,42577153,42886770,42989379,43310606,43543789,43563992,43631233,44183355,44218295,44647866,44762126,44847889,44879139,45231668,45382046,45588398,45622573,45745888,45812211,45924855,46221073,46375539,46397490,46900753,46945611,47128912,47430575,47643998,47743873,47827789,48034244,48329773,48662989,48663755,48986512,49009491,49490656,49490989,49651508,50046459,50238644,50348975,50673755,51170379,51464124,51610093,51850628,51851473,52500363,52719998,52869291,52880055,52921166,53020026,53061954,53924846,54619693,55109826,55208975,55432472,55471489,55523246,55676988,55735719,55921406,55932433,56227268,56405392,56715998,56808644,56853755,56916690,56922253,57073453,57125255,57750289,58144299,58396506,58495406,58569613,59023090,60036973,60298251,60418770,60711136,60808506,60849806,61037403,61046989,61549755,61688833,61782872,61830673,62017988,62361531,62407886,62795966,62885293,63082743,63456066,63763646,64266253,64342526,64446688,64607108,65396015,65551489,65653072,65885389,65951953,66023503,66250770,66481873,66645086,66738615,67137793,68090091,68172289,68224506,68300028,68316455,68347923,68428033,68550306,68899268,69005912,69116126,69119855,69125389,69505731,69519650,69814033,70192455,70296171,70667488,70781739,70827708,71187856,71225773,71346733,72163355,72502524,72540493,72595844,72663575,72775789,73009933,73214043,73242446,73416913,73445828,73501592,73705453,73859706,73968999,74011844,74170526,74729293,74764563,74871952,75948973,76112593,76706539,77087768,77186833,77284655,77481806,77631651,77973613,78290015,78475218,78601655,78788962,78808155,78883539,79248913,79301246,79348993,79482398,79500924,79503668,79771352,80086338,80285389,80479213,80528055,80847907,80958733,81219650,81242989,81285998,81310803,81366575,81434931,81552939,81896173,81979746,82003406,82301108,82354093,82399489,82430615,82670353,82689291,82849489,82943826,83068791,83071789,83277188,83423580,83467393,83510989,83985793,84062032,84198733,84230946,84263975,84318700,84409873,84577489,85026686,85035995,85236433,85896592,85994989,86596026,86613613,86723739,87159575,87196290,87304244,87485198,87831313,88531153,88686644,88735489,88769293,88985152,89223998,89365453,89566808,89686573,89718289,89742771,89907073,90031489,90203588,90291418,90347855,90616628,90776606,90948398,91004739,91120046,91324033,91351789,91462093,91516813,91991348,92252653,92378113,92399855,92618043,92741586,92767489,92861953,92885389,93009376,93138433,93360913,93424443,93469659,93576193,93639373,93743233,93845293,93908975,93948018,94082893,94159789,94254289,94319290,94321028,94321986,94328593,94569786,94596973,94699789,94867844,95036739,95100289,95160193,95189713,95318989,95364446,95388289,95585389,95635213,95659693,95754733,95877889,95992333,96088813,96203473,96290989,96298513,96335053,96427789,96466363,96479953,96511489,96516493,96558289,96574993,96597889,96627373,96633666,96646273,96679789,96687889,96798575,96913844,97173483,97250483,97453923,97463580,97639890,97701998,98411288,98742650,98916738,99189806,99630644,...,45160986903216517737155960473732208062234723288404358516341322359783590778163447367921183837687461651133424556532423198223757908823642794478135637120768036008995212932374153374748763873630229041997700967361607635900204065096063038735487997912324551742612222585927356376672521250553257201293552881664853115381428393441476348457448684510611767175810536168191582508264360938317359804736975337178437811369094562848570226634648795860155120386143037617960578683340854670608912113500132278609788125247288547469455583173630419531681782018489140929447583020721773298132952946927374938245896633412929405739819601106507795715221562119078424963771026957782568071639534855351184005501444770701353225194274235614614875144581365050218998560039938214597825055687372449964123711017409844407324211772849919520468481210833259062496026756935951185419167872597462622861342121272148396352806026844226899064191741928813698171011579700872336703303909351328456328587934036268476168086821877319793922577765589850655053492222748330018471959179955350423253721253174406748046319111051457698003439730971925754434073901848307405420888414349392846884266893329020002983749596430316047888637693554791697278973402823907373660007059009995577621797274731751709179474354766570650019736146975941537178308631253018768074388297615816341136155909130911884595142492724905694960022210049011650070952589378660843876549378567184043883542688063448336381809977530653921400669253736034968358577493008899442971308406562074577851587789537124215007395423075705022012809824802876506296216062968943838194391669171799410684364697133156905832072541393109363855603029240696560586517417880437869964567484965204816991918459003573546945838880002824814992363251351322624157931447304778773467071549154542782515105858352288198921234569778276901264991837167031561319410336376075797889395187692654163982343735431348149877410273527053593755883343638043112875009875281461604928073107399951340427617934444553227563186208778470412414081959168465417833660085047528396488590126764646726463191635064822077241245542740154386354246183170771829198362354615619143006243105089816468193048776302532079408637687219518070408457247525135050686069144249852658973921293425860026161081176942104648422957106964372187400534818408587562795744109655991303025972568973278194814600307395990485554040493991304876198766998265890560994835865967765562580109028482480677024725393744047134328375993114751781967472071383192939693638134462678321706604563842761597009851359397181880048115231970194975679495489297362157961157462030510080192977027853241425378909643578194953399962314703954153932134528129270261295304974807309147672848872463382799727660491502439431617567733308064103204318908146230625162945214437914633226255612299142000498267197464396993763704744175355054242444303338851389606812195961632834543503980180463512251448787929582123674054320212289412842663863531864648058637505779370445934564721437198017295403215707332254352901795044554917406715971253467869420014000260826923515453653899683007952194013653339495570497536252941919217703069682064261390417390313586349741345865956657222927744616467315400059156798240676}
19667  81596184030023673571514959490523735188899569980470700778852993578908877: {157288,176949,3587349,3938997,5196385,5782885,6235662,6939462,7735285,9187797,9282342,9535989,10072885,10137853,10579269,10656385,11273709,11374237,11428549,12087462,12192733,12718453,12787662,12792805,13006029,13667473,13828213,14042829,14645197,15351366,15662797,15725149,16110597,16248910,16454469,16491169,16735838,16857985,17012413,17418190,17437285,17656897,18075109,18485629,18594805,18787585,19197669,19365685,19498692,19754590,20229582,20869453,20901828,20921710,20924742,21117109,21184357,21922862,22153549,22250785,22305037,22313766,22545102,22634785,22946997,23210485,23238822,23300833,23402305,23705508,23908340,24291949,24295057,24981069,25106052,25673089,25805444,26030053,26274805,26283853,26332797,26409373,26700942,26839477,27161742,27230305,27421285,27474949,27570254,27852582,28082766,28690008,28705729,29090852,30032229,30168157,30588646,30879037,31529766,31685437,31971973,32031302,32174869,32242897,32276259,32374244,32491333,32676366,32859709,32905542,33039597,33074269,34054837,34080385,34524829,34631713,34726118,34905997,35034789,35548717,35736646,35801293,35806333,35973985,36209473,36513253,36864920,37076149,37100228,37185790,37485985,37676966,38026453,38118493,38342110,38350213,38390497,39331029,39565117,39726853,40027652,40896462,41237798,41319949,41442805,41473035,41558360,41806388,42570085,42591373,42610989,42723493,42863198,43133185,43168782,43304324,43446766,44112910,44237904,44602309,44622948,44809669,44955518,44983182,45264910,45398389,45943285,46010532,46248920,46292629,46416190,46753155,47258878,47669149,47811685,47909732,48326629,48503413,48514213,48578926,48936613,49336244,49354718,49396033,49428597,49608740,49731366,49767642,49781149,49829377,49862305,49865710,49870032,50048485,50309869,50761069,51037797,51047293,51084102,51381493,51722305,51759822,52030035,52161790,52935492,53122244,53148262,53728573,54009332,54060013,54317892,54454990,54968833,55131942,55312237,55384862,55498704,55699428,55924868,56075653,56103786,56390852,56539585,57182360,57281857,57319172,57329077,57366133,57374022,57446438,58522129,58826209,58911140,59047813,59185534,59250253,59530488,59695309,59834766,59838852,59906113,60042805,60058182,60198142,60308149,60380173,60604693,61082948,61233140,61466557,61572397,61834052,61863320,62064385,62066766,62289374,62436042,62464629,62594148,62798305,63214849,63311989,63838417,63918886,64313893,64330155,64348513,64813285,64965909,65345988,65512958,65838046,66214069,66297829,66504829,66728612,66971799,66992494,67143189,67451797,67847502,68073069,68227172,68382597,68618832,69290590,69596235,69741829,69799933,70000484,70284085,70492388,70506740,70609453,70693368,70749272,70769569,71010805,71090158,71465997,71615533,72051366,72555733,73479768,73540309,73554278,73647757,73702453,74107093,74235984,74314292,74477262,74676262,74811157,74953357,75159518,75357966,75449758,75604129,75605953,75888920,76491302,76560926,76910737,77196186,77228590,77245573,77475109,77477473,77522485,77525732,77775942,77862008,77869693,78370957,79079997,79381749,79530039,79592931,80049982,80397668,80558360,80758885,80887269,81024469,81078008,81197149,81383204,81698173,81783526,82066340,82443493,82594382,82664739,83148708,83284869,83515482,83762773,83882109,84104053,84110324,84211969,84326638,84340902,84608088,85055566,85073997,85212966,85375035,85916869,86109877,86124085,86257390,86464678,86679277,87594759,87651613,87743109,88114357,88334360,88534635,88572289,88629313,88663333,88984820,89279053,90628155,90744805,90786788,90787486,90966008,91066704,91130564,91212759,91227457,91274709,91400408,91630526,91807285,91876990,92514805,92674308,93026982,93031813,93589940,93611829,93624949,93728228,94128142,94193949,94298053,94308349,94343774,94375652,94436944,94686253,94863373,95184099,95645469,96359710,96513789,96670032,96910662,97018438,97618724,98387317,98479608,98625332,99046069,99376155,99379585,99552046,99610309,99686084,99714190,99967629,...,67741480354824776605733940710598312093352084932606537774511983539675386167245171051881775756531192476700136834798634797335636863235464191717203455681152054013492819398561230062123145810445343562996551451042411453850306097644094558103231996868486827613918333878891034565008781875829885801940329322497279673072142590162214522686173026765917650763715804252287373762396541407476039707105463005767656717053641844272855339951973193790232680579214556426940868025011282005913368170250198417914682187870932821204183374760445629297522673027733711394171374531082659947199429420391062407368844950119394108609729401659761693572832343178617637445656540436673852107459302283026776008252167156052029837791411353421922312716872047575328497840059907321896737583531058674946185566526114766610986317659274879280702721816249888593744040135403926778128751808896193934292013181908222594529209040266340348596287612893220547256517369551308505054955864026992684492881901054402714252130232815979690883866648384775982580238334122495027707938769933025634880581879761610122069478666577186547005159596457888631651110852772461108131332621524089270326400339993530004475624394645474071832956540332187545918460104235861060490010588514993366432695912097627563769211532149855975029604220463912305767462946879528152111582446423724511704233863696367826892713739087358542440033315073517475106428884067991265814824067850776065825314032095172504572714966295980882101003880604052452537866239513349164456962609843111866777381684305686322511093134613557533019214737204314759444324094453415757291587503757699116026547045699735358748108812089664045783404543861044840879776126820656804946851227447807225487877688505360320418758320004237222488544877026983936236897170957168160200607323731814173772658787528432298381851854667415351897487755750547341979115504564113696834092781538981245973515603147022224816115410290580390633825015457064669312514812922192407392109661099927010641426901666829841344779313167705618621122938752698126750490127571292594732885190146970089694787452597233115861868314110231579531369274756157743797543531923428714509364657634724702289573164453798119112956530829277105612685871287702576029103716374778988460881940138790039241621765413156972634435660446558281100802227612881344193616164483986954538958853459917292221900461093985728331060740986957314298150497398835841492253798951648343870163542723721015537088090616070701492563989672127672951208107074789409540457201694017482559906845764142395514777039095772820072172847955292463519243233946043236941736193045765120289465541779862138068364465367292430099943472055931230898201792193905391942957462210963721509273308695074199591490737253659147426351599962096154806478362219345937744417821656871949839383418448713000747400796196595490645557116263032581363666455008277084410218293942449251815255970270695268377173181894373185511081480318434119263995795297796972087956258669055668901847082155797025943104823560998381529352692566832376110073956880201804130021000391240385273180480849524511928291020480009243355746304379412878826554604523096392085626085470379524612018798934985834391616924700973100088735197361014}
19668  81915239955157057489056230706310243238607088938914590680777447720646629: {137627,196610,235932,1156931,1391387,1898387,2131931,2481707,2675747,3250778,3256667,3484706,3488531,3720107,3835787,3874331,4105427,4185626,4413107,4418978,4643531,4681907,4783132,4873667,5251996,5371307,5447747,6742331,6931931,7083467,7310531,7670786,7726067,7876931,8065331,8291147,8314216,8629331,8779427,8854427,9055778,9252616,9286106,9341147,9353493,10205978,10409193,10459187,11200547,11352578,11422331,11754467,12012347,12250396,12376456,12526931,12714652,13407386,13441931,13923513,14105692,14206667,14315627,14533331,15031612,15256931,15617531,16116616,16551347,17050216,17087627,17230331,17341372,17550947,18083867,18131193,18261107,18614987,18723772,19181493,19214747,19277978,19501826,19566467,20468488,20930531,21313067,21480796,21936947,21939292,22398746,22454867,22620578,22661531,23027049,23690531,23827187,23895467,24338507,24373365,24830978,24915827,25017467,25103757,25254347,25558331,25596892,25998256,26127285,26231531,26432867,26972776,27035147,27235331,27245786,27869104,27899656,28066331,28430387,28562531,29024027,29056931,29221331,29248038,29254187,29352707,29631885,29751688,29885425,30060136,30077186,30344373,30496787,30595996,30691931,30985096,31159706,31307987,31352742,31382565,31387113,31501931,31607344,31792307,31953347,32256805,32453978,32659547,32884293,33138827,33308092,33393707,33425531,33470649,33474736,33817653,33870227,34250147,34858233,35110396,35132147,35320331,35453786,35508227,35558262,35601256,35666978,35862510,36215656,36363565,36412331,36691547,36722531,36877331,37136776,37340531,37443688,37659078,38108531,38253344,38708166,38993147,39058466,39205667,39448067,39659747,40042972,40051413,40081931,40467805,40562507,40652387,40712267,40742613,41100707,41355381,41606627,41778873,41991947,42039688,42124149,42316931,42582107,43035012,43037978,43373747,43568488,43636278,43665467,43874056,44052796,44246507,44680187,45054587,45111578,45198227,45627947,45656531,45882969,46081150,46254947,46375285,46396907,46713052,46765067,47075531,47188187,47294649,47749547,48029027,48046953,48561366,48751931,49000907,49014549,49166531,49358313,49579331,50034565,50154227,50263331,50508347,50671331,50834027,51448226,51643187,51947950,52089177,52255778,52257985,52441372,52445147,52524947,52578107,52922867,52975787,53371667,53450627,53604969,54001331,54105827,54130405,54262331,54392531,54528616,55263578,55297380,55650342,55778685,56515449,56814652,56929307,56954531,57105707,57306827,57482387,57513165,57558376,57607547,57811150,57932027,58041626,58436186,58798907,58983872,59044787,59191931,59497264,59826227,59887165,59899067,59977576,60041478,60044531,60911267,61221707,61269347,61344693,61347376,61377026,61578227,61670305,61720331,61838531,61856697,61862147,61905613,62010925,62337540,62543531,62683667,62709582,62753627,62893331,62916587,62986307,63241331,63817331,64137707,64294797,64479227,64753173,64956486,64976867,65156867,65170149,65291531,65425907,65904796,66169365,66308488,66356856,66402805,66490547,66493376,66512531,66622331,66779906,66934422,67081307,67146587,67276931,67433277,67474773,67511665,67623107,67730867,67897365,68050396,68052947,68112136,68129257,68330627,68458331,68755187,68903027,68966267,69013096,69015798,69218507,69373380,69624285,69698747,69844067,69906085,70488565,70564787,70569986,70580656,70646531,70888317,70943257,71255531,71356331,71376467,71477950,71537267,71648965,71864598,71882906,72076187,72254531,72423856,72451931,72668147,72726947,72816386,72863867,72868389,73039331,73330331,73374746,73446227,73509256,73638925,73715531,73998272,74004366,74032077,74078507,74265904,74363027,74413110,74476331,74597049,74651463,74798565,74805048,75038531,75131531,75519947,75575147,75795227,75959531,75977747,76353685,76498696,76541425,76574387,76626153,76931747,77197667,77215331,77292565,77329150,77639733,77671787,78088331,78242685,78619547,79068578,79109531,79260227,79276931,79360331,79373984,79403238,79595257,79625867,79683366,79722393,79779688,79785136,79922147,79975357,80077576,80361707,80651507,80747531,80875778,80922827,80986331,81013998,81055706,81065531,81476838,81536531,81682485,81861947,81908147,82632326,82697507,82697913,82755688,82772267,82995347,83077293,83248056,83286172,83410765,83458864,83494331,83549142,83581427,83624867,83840987,83887302,83912627,83998331,84012587,84126347,84155679,84225467,84422531,84478547,84586278,84624026,84631931,85099907,85154306,85249331,85262867,85283965,85464947,85531907,85731587,85773540,85903187,85978758,86047331,86061033,86169657,86371331,86621212,86626931,86639627,86816531,86891867,86941931,87087578,87127984,87262466,87264227,87374531,87500605,87665507,87789493,87916331,88115485,88133425,88163627,88366710,88372787,88436590,88510787,88658987,88778301,88828307,88995827,89117531,89295732,89347187,89379707,89390531,89509067,89524252,89647907,89695778,89752149,89758278,89827427,90014987,90087273,90297213,90392387,90463336,90764092,90865667,91057427,91176796,91245146,91292627,91486331,91491776,91531931,91541027,91554421,91624422,91849710,92072147,92097947,92149331,92268107,92326907,92401931,92442146,92687531,92735507,92751078,92794980,92838467,92885531,92892865,93100149,93108947,93154331,93161867,93384227,93434061,93634547,93654063,93662531,93759467,93801506,93891222,93941987,93968531,94105787,94137947,94257824,94258331,94406267,94561331,94619531,94733531,94861150,95025347,95137547,95177387,95182331,95206931,95284307,95287996,95378147,95396531,95464331,95487746,95490947,95594531,95643037,95652827,95655578,95681387,95701547,95713547,95810747,95878329,95888531,96013667,96030227,96059531,96068488,96078707,96119267,96181931,96221747,96281147,96316931,96353531,96355907,96397307,96434027,96460547,96516587,96536987,96589907,96653267,96659546,96665531,96666347,96677627,96694331,96698531,96703067,96704747,96707027,96707267,96707531,96767797,96907165,97325978,97327510,97973024,98018982,98269437,98757069,98981312,98981978,99303016,...,101612220532237164908600911065897468140028127398909806661767975309513079250867756577822663634796788715050205252197952196003455294853196287575805183521728081020239229097841845093184718715668015344494827176563617180775459146466141837154847995302730241420877500818336551847513172813744828702910493983745919509608213885243321784029259540148876476145573706378431060643594812111214059560658194508651485075580462766409283009927959790685349020868821834640411302037516923008870052255375297626872023281806399231806275062140668443946284009541600567091257061796623989920799144130586593611053267425179091162914594102489642540359248514767926456168484810655010778161188953424540164012378250734078044756687117030132883469075308071362992746760089860982845106375296588012419278349789172149916479476488912318921054082724374832890616060203105890167193127713344290901438019772862333891793813560399510522894431419339830820884776054326962757582433796040489026739322851581604071378195349223969536325799972577163973870357501183742541561908154899538452320872819642415183104217999865779820507739394686832947476666279158691662196998932286133905489600509990295006713436591968211107749434810498281318877690156353791590735015882772490049649043868146441345653817298224783962544406330695868458651194420319292228167373669635586767556350795544551740339070608631037813660049972610276212659643326101986898722236101776164098737971048142758756859072449443971323151505820906078678806799359270023746685443914764667800166072526458529483766639701920336299528822105806472139166486141680123635937381255636548674039820568549603038122163218134496068675106815791567261319664190230985207420276841171710838231816532758040480628137480006355833732817315540475904355345756435752240300910985597721260658988181292648447572777782001123027846231633625821012968673256846170545251139172308471868960273404720533337224173115435870585950737523185597003968772219383288611088164491649890515962140352500244762017168969751558427931684408129047190125735191356938892099327785220455134542181178895849673792802471165347369297053912134236615696315297885143071764046986452087053434359746680697178669434796243915658419028806931553864043655574562168482691322910208185058862432648119735458951653490669837421651203341419322016290424246725980431808438280189875938332850691640978592496591111480435971447225746098253762238380698427472515805245314085581523305632135924106052238845984508191509426812160612184114310685802541026223839860268646213593272165558643659230108259271932938695278864850919064855412604289568647680434198312669793207102546698050938645149915208083896846347302688290858087914436193316445582263909963042611299387236105880488721139527399943144232209717543329018906616626732485307924759075127673069501121101194294893235968335674394548872045499682512415626615327440913673877722883955406042902565759772841559778266622220477651178895993692946695458131934388003583503352770623233695538914657235341497572294029038850248564165110935320302706195031500586860577909770721274286767892436530720013865033619456569119318239831906784644588128439128205569286918028198402478751587425387051459650133102796041521}
19669  82235534606089022310042520206433212915956193118607804226707940304521280: {294915,314576,353898,4876167,5227059,5978915,6278439,6564995,6628467,7174698,7274939,7877994,8096039,10392770,10829399,11506179,11565770,11981099,12471324,13149587,13506467,13583667,13878924,13929159,14102039,14334179,14918939,15030899,15275411,15308967,15312995,15470570,15893315,16687259,17028867,17505479,17628491,17632115,17909927,18375594,18564684,18584267,18789515,19071978,19387367,19734179,20105579,20111079,20145770,20275706,21034019,21158538,21312770,21676715,22547418,22748474,22857098,23404715,23601179,24174924,24385466,24412199,24437459,24663899,24907787,24929159,25436906,25575324,25585610,26012058,26032727,26181467,26302619,26850995,27111959,27153299,27284807,27334946,27424115,27656426,28085658,28708667,28916967,29252739,29290394,29376071,30702732,31151099,31325594,31450298,31688699,31996115,32221194,32401127,32494679,32497820,32763227,32908938,32982338,33471676,33598119,33678227,33715970,33930867,34024826,34836380,34874570,35313794,36036179,36150218,36208967,36213179,36784727,36971258,37020107,37189610,37246467,37575170,37785059,38122427,38244995,38389799,38395338,38731370,38778707,38997384,39509180,39730919,40459164,40469411,40648967,40868679,41635115,41738906,41803656,41843420,41849484,42234218,42310619,42368714,43817267,43845724,43872057,43887995,44171747,44307098,44501570,44610074,44627532,45090204,45115779,45136487,45269570,45322979,45893994,46297367,46420970,46477644,46601666,46739559,46804610,47029113,47411016,47712539,47816680,47899991,48583898,48590114,48680967,48832667,48941651,49962138,50053715,50059067,50212104,50335259,50363579,51346178,51474467,51610888,52060106,52480379,52549610,52567706,52665594,52818746,52828859,53180679,53337393,53401884,53500467,53678954,53793765,54004019,54323484,54460610,54842570,54949898,54974459,55065995,55140508,55207331,55705164,56165532,56336267,56349479,56488617,57153419,57334979,57380016,57411458,57792647,57834179,58019927,58062249,58181704,58391315,58587699,58759787,58832267,59053907,59598119,59912267,60064458,60328619,60336314,60386459,61177292,61376867,61737491,61758074,61819559,62363879,63059532,63370874,63943946,64020899,64062604,64320599,64349738,64355099,64485794,64552518,64556967,64748488,64784327,64982666,65352732,65454417,65551715,65719418,65811084,66079194,66148538,66220871,66936359,66953891,67667367,67796339,68109674,68160770,69049658,69121725,69263426,69452236,69734867,69748967,69783779,69807227,69811994,70067879,70069578,70374779,71018315,71097434,71273267,71348819,71473292,71602586,71612666,71947970,72411227,72418946,72563159,72842049,72987347,73026506,73041767,73655339,73729840,74127251,74152298,74200456,74371580,74971970,75353932,75611867,75613739,76052906,76236986,76684220,76700426,76780994,77172339,77253479,77674787,77921925,78383667,78608531,78662058,79130234,79155419,79217927,79453706,79864067,80055304,81792924,82312199,82380995,82475596,82639898,82820747,82885610,82895367,82946070,83116720,83475513,83612776,83771399,84059927,84500771,84636539,85062995,85140170,85182746,85221978,85342331,85446986,85726396,85959059,86266370,86337564,86601251,86608648,86716725,86890139,86893532,87062439,87102899,87654279,87917627,88225820,88475808,88706099,89008919,89086547,89204618,89245896,89288267,89619338,89911036,89966364,90019691,90062217,90529820,90738599,90796778,91033991,91886570,92021064,92027819,92065539,92067779,92497840,92585258,92808551,92832380,92908967,93506310,94064373,94517756,94521347,95338298,95623370,95819464,95960267,96653258,96876839,97006826,97028426,97157852,97433219,97434729,97873226,98397719,98672488,98709436,98792066,98857194,99056291,99217480,99395699,99415127,99462732,99535284,99562298,99620567,99658754,99724610,99731420,99740064,99782471,...,135482960709649553211467881421196624186704169865213075549023967079350772334490342103763551513062384953400273669597269594671273726470928383434406911362304108026985638797122460124246291620890687125993102902084822907700612195288189116206463993736973655227836667757782069130017563751659771603880658644994559346144285180324429045372346053531835301527431608504574747524793082814952079414210926011535313434107283688545710679903946387580465361158429112853881736050022564011826736340500396835829364375741865642408366749520891258595045346055467422788342749062165319894398858840782124814737689900238788217219458803319523387145664686357235274891313080873347704214918604566053552016504334312104059675582822706843844625433744095150656995680119814643793475167062117349892371133052229533221972635318549758561405443632499777187488080270807853556257503617792387868584026363816445189058418080532680697192575225786441094513034739102617010109911728053985368985763802108805428504260465631959381767733296769551965160476668244990055415877539866051269761163759523220244138957333154373094010319192915777263302221705544922216262665243048178540652800679987060008951248789290948143665913080664375091836920208471722120980021177029986732865391824195255127538423064299711950059208440927824611534925893759056304223164892847449023408467727392735653785427478174717084880066630147034950212857768135982531629648135701552131650628064190345009145429932591961764202007761208104905075732479026698328913925219686223733554763368611372645022186269227115066038429474408629518888648188906831514583175007515398232053094091399470717496217624179328091566809087722089681759552253641313609893702454895614450975755377010720640837516640008474444977089754053967872473794341914336320401214647463628347545317575056864596763703709334830703794975511501094683958231009128227393668185563077962491947031206294044449632230820581160781267650030914129338625029625844384814784219322199854021282853803333659682689558626335411237242245877505396253500980255142585189465770380293940179389574905194466231723736628220463159062738549512315487595087063846857429018729315269449404579146328907596238225913061658554211225371742575405152058207432749557976921763880277580078483243530826313945268871320893116562201604455225762688387232328967973909077917706919834584443800922187971456662121481973914628596300994797671682984507597903296687740327085447442031074176181232141402985127979344255345902416214149578819080914403388034965119813691528284791029554078191545640144345695910584927038486467892086473883472386091530240578931083559724276136728930734584860199886944111862461796403584387810783885914924421927443018546617390148399182981474507318294852703199924192309612956724438691875488835643313743899678766836897426001494801592393190981291114232526065162727332910016554168820436587884898503630511940541390536754346363788746371022162960636868238527991590595593944175912517338111337803694164311594051886209647121996763058705385133664752220147913760403608260042000782480770546360961699049023856582040960018486711492608758825757653109209046192784171252170940759049224037597869971668783233849401946200177470394722028}
19670  82557072758023416382488936975923508612008678881798283556136526914829761: {275254,393220,471864,530847,1196149,1313401,1430581,2313862,2481961,2714809,2782774,3179641,3527509,3759061,3796774,3874729,4263862,4336681,4451989,4682389,4963414,5351494,5486521,6501556,6513334,6515221,6969412,6977062,7440214,7651381,7671574,7748662,8103829,8210854,8329621,8371252,8442409,8780341,8826214,8837956,8892841,9287062,9342121,9363814,9566264,9747334,10503992,10742614,10762047,10895494,11460469,11792569,11816991,12564949,13114489,13484662,13863862,14166934,14208169,14317141,14621062,15294649,15341572,15452134,15589155,15753862,16130662,16481461,16582294,16588921,16628432,17258662,17348655,17558854,17708854,18111556,18505232,18510889,18572212,18682294,18706986,18828949,19252021,20199721,20411956,20723701,20818386,20918374,20932789,21350101,22388341,22401094,22698409,22705156,22801621,22844662,23205855,23508934,23727289,23932201,24024694,24500792,24752912,25053862,25257109,25429304,26368681,26469301,26569849,26770729,26814772,26883862,27071509,27563391,27847026,27969961,28069429,28211384,28413334,28607967,28631254,29060149,29066662,29257429,29355961,29847541,30063224,30218655,30413559,30435061,30513862,30532729,31214389,31235062,31311481,31505449,31737807,31969155,31989109,32233232,32663209,33102694,33429289,33821127,34100432,34122711,34175254,34285621,34285647,34460662,34682744,35101894,35136121,35512249,36167734,36262386,36522214,36578199,36726709,37229974,37375609,37447544,37836949,38112889,38155359,38362986,38378415,38429494,38479801,38555956,38754229,39003652,39018087,39028009,39132934,39210169,39482869,39664309,39754921,39845461,40116649,40622275,40936976,41002419,41015929,41105461,41484639,41839595,41861062,42128487,42439801,42626134,42961592,42969001,43545475,43873894,43878584,43935591,44280661,44627701,44797492,44909734,45159527,45232249,45241156,45323062,45490261,45576121,45661909,45918841,46054098,46515829,46770601,46988391,47109289,47175447,47381062,47654374,47790934,48331791,48677014,48746730,49363407,49386475,49473507,49612729,49661956,49831654,50034934,50207514,50269369,50508694,50514421,50573955,50908991,50921401,51037239,51116662,51193784,51488149,51996512,52254570,52304275,52311855,52463062,52865734,52929301,52970691,53404501,53483449,53945552,54034069,54070294,54112441,54225327,54425209,54470662,54491572,54807155,55456887,55738208,55784415,55799312,56132662,56362755,56654927,56860774,56961589,57125062,57339049,57593007,57639721,57939241,58013941,58048054,58097055,58113862,58312021,58442662,58496076,58508374,58705414,59052181,59263770,59492821,59503376,59770850,59930869,60120272,60154372,60221461,60688746,60871081,60942901,60993574,61191992,61383862,61870009,61970192,62011561,62319412,62608359,62615974,62705484,62715001,62765130,62774226,62924629,62994361,63003862,63214688,63272569,63351327,63553071,63584614,63906694,63963049,64168789,64510249,64513610,64714261,64907956,64925399,65187769,65319094,65322409,65456761,65768586,66057781,66277654,66460647,66521209,66616184,66718741,66752355,66784441,66787414,66851062,66915111,66941298,66949472,67635306,67740454,67904355,68083321,68500294,68785429,68840991,68925635,69290581,69631455,69716466,69728809,69902499,69915541,70048391,70206915,70220792,70264294,70594681,70640662,70907572,71016454,71116524,71202512,71204521,71333956,71386069,71725020,72402601,72431312,72697621,72727130,72824662,72875847,72885171,72932341,73161179,73224121,73383094,73445062,73754662,74088661,74273552,74373241,74429941,74486569,74681062,74887376,74937001,74943207,75318156,75327349,75548821,75782567,75988309,76217062,76369081,76471615,76506688,76585081,77019267,77226169,77416332,77490229,77986294,78090159,78116629,78116932,78168361,78411334,78477241,78824415,78851559,78896134,78998391,79137589,79228119,79288249,79319494,79933621,80031829,80078255,80085944,80102826,80163862,80373289,80518431,80759209,80935610,81093109,81125014,81304774,81424534,81485226,81690915,82201414,82263855,82302421,82347961,82424847,82574581,82619689,82710762,83022421,83213254,83557746,83723989,83842031,83983894,84025129,84079376,84248298,84533161,84633862,84658549,84741781,84783289,85071829,85164214,85275769,86070024,86073529,86075956,86112661,86117187,86307241,86338427,86500021,86652949,86747494,86815295,86842489,86917801,87136976,87272556,87290041,87330934,87400309,87691189,87748112,87763189,87941929,88105592,88154041,88398229,88493014,88501801,89009941,89076469,89341615,89360374,89404789,89566249,89852341,89883769,89977621,90096687,90109174,90223156,90285781,90396454,90504471,90646069,90763861,90880501,91081849,91255894,91307641,91313062,91556149,91610581,91765938,91825429,92162300,92164729,92241301,92509894,92637111,92750570,92793814,92963927,92964475,93086761,93177769,93334261,93426104,93530134,93551701,93945001,93984889,94151062,94160821,94192415,94330921,94376374,94422901,94516331,94530901,94589298,94722169,94756009,95000629,95047609,95056311,95199529,95258281,95386261,95468341,95499094,95508409,95573749,95612089,95662201,95735209,95855275,95915919,95927989,96041641,96051541,96058054,96093906,96099961,96191401,96267541,96374389,96479221,96491029,96524607,96535381,96540601,96622249,96672469,96685609,96696949,96708181,96714229,96718009,96722869,96724921,96726649,96728691,96828777,97122732,97473999,97503862,97868519,98001814,98029098,98333062,98579127,98683991,98716626,99118791,99158662,99222807,...,203224441064474329817201822131794936280056254797819613323535950619026158501735513155645327269593577430100410504395904392006910589706392575151610367043456162040478458195683690186369437431336030688989654353127234361550918292932283674309695990605460482841755001636673103695026345627489657405820987967491839019216427770486643568058519080297752952291147412756862121287189624222428119121316389017302970151160925532818566019855919581370698041737643669280822604075033846017740104510750595253744046563612798463612550124281336887892568019083201134182514123593247979841598288261173187222106534850358182325829188204979285080718497029535852912336969621310021556322377906849080328024756501468156089513374234060265766938150616142725985493520179721965690212750593176024838556699578344299832958952977824637842108165448749665781232120406211780334386255426688581802876039545724667783587627120799021045788862838679661641769552108653925515164867592080978053478645703163208142756390698447939072651599945154327947740715002367485083123816309799076904641745639284830366208435999731559641015478789373665894953332558317383324393997864572267810979201019980590013426873183936422215498869620996562637755380312707583181470031765544980099298087736292882691307634596449567925088812661391736917302388840638584456334747339271173535112701591089103480678141217262075627320099945220552425319286652203973797444472203552328197475942096285517513718144898887942646303011641812157357613598718540047493370887829529335600332145052917058967533279403840672599057644211612944278332972283360247271874762511273097348079641137099206076244326436268992137350213631583134522639328380461970414840553682343421676463633065516080961256274960012711667465634631080951808710691512871504480601821971195442521317976362585296895145555564002246055692463267251642025937346513692341090502278344616943737920546809441066674448346230871741171901475046371194007937544438766577222176328983299781031924280705000489524034337939503116855863368816258094380251470382713877784198655570440910269084362357791699347585604942330694738594107824268473231392630595770286143528093972904174106868719493361394357338869592487831316838057613863107728087311149124336965382645820416370117724865296239470917903306981339674843302406682838644032580848493451960863616876560379751876665701383281957184993182222960871942894451492196507524476761396854945031610490628171163046611264271848212104477691969016383018853624321224368228621371605082052447679720537292427186544331117287318460216518543865877390557729701838129710825208579137295360868396625339586414205093396101877290299830416167793692694605376581716175828872386632891164527819926085222598774472211760977442279054799886288464419435086658037813233253464970615849518150255346139002242202388589786471936671348789097744090999365024831253230654881827347755445767910812085805131519545683119556533244440955302357791987385893390916263868776007167006705541246467391077829314470682995144588058077700497128330221870640605412390063001173721155819541442548573535784873061440027730067238913138238636479663813569289176256878256411138573836056396804957503174850774102919300266205592083042}
19671  82879859204441474938787283883029708247429112095652497622614902355214480: {412881,491525,589830,629152,707796,3470793,4174161,5695161,6395793,7445121,8027241,8126945,8370481,8711765,9190993,9752334,9770001,10454118,10464065,10465593,11047445,11160321,11507361,11622993,11957830,12316281,12556878,13129990,13239321,13256934,13930593,14045721,14349396,14549878,14621001,15540421,15755988,16020553,16113921,16192078,16343241,17873801,18844249,19160009,19176965,20226993,20785540,20795793,21250401,21438193,21658798,21730049,21931593,22250641,22484641,22639445,23012358,23013881,23131540,23178201,23215265,23630793,23636681,23962198,24195993,24684961,24873441,24942648,25514945,25887993,26122801,26299174,26305321,26338281,26563281,26828293,27012934,27167334,27614681,27757848,27858318,28023441,28060479,28204078,28381445,28668358,29837878,30061798,30347401,30550822,30617934,30625990,30941140,31227579,31377561,31786630,31969241,32245681,32766601,33374518,33506513,33518465,33572501,33601641,34057734,34266993,35010958,35256982,35263401,35264230,35819854,36037041,36751188,37129368,37168534,37538261,37579030,37580793,37591393,37736441,38143956,38292241,38393761,38774734,39468358,39801541,40037273,40211158,40222158,40291540,40296689,40325793,40473553,40551412,40904369,41770539,42068038,42176321,42317076,42540821,42620001,42625540,42946881,43245593,43353430,43599993,44794561,45094836,45496948,45714196,45770793,45829381,46809430,46852593,47078513,47202358,47342249,48090401,48194945,48349848,48524201,48751361,48754565,48770932,48824398,48874918,49327798,49654041,49791401,49815574,49858318,50466293,50873812,51057809,51150648,51171220,51262881,51690993,52024116,52065454,52362934,52605238,52652841,53343121,53542993,53701990,54223918,54251601,54306598,54393579,54569614,54669892,54783321,54848230,54852281,55312852,55844961,55948369,55996865,56171316,56551445,56936249,57235589,57377969,57417334,57544479,57644241,57833934,57840133,58289161,58505478,58580788,58699401,58752142,58765801,59900489,60357433,60833461,61160993,61405464,61443193,62077445,62302198,62651188,62791593,62900596,63196361,63377398,63939201,63992230,64442388,64802254,64989358,64995640,65161493,65248361,65526454,65810841,65817876,65964676,65995249,66943352,66960769,67196238,67356454,67364601,67431940,67861734,67984593,68049652,68063993,68114465,68300401,69081147,69672760,69749140,69790981,70075201,70627588,71071593,71305109,71481561,71686401,72072358,72300436,72417934,72426358,73015521,73120095,73569454,73942516,74040214,74379220,74432641,74492934,74747481,74968793,75052401,75150340,75192965,75311271,75570118,75763041,76219649,76229441,76244854,76489990,76674993,76779598,76790676,76926581,77092393,77462740,77557414,77899265,77938969,77994768,78381855,78694593,79018360,79298601,79461838,79872241,80153873,80918328,80938822,81105441,81134945,81297934,81463801,81705993,81737358,81747841,81857249,82320673,82792601,83270230,83477812,83607312,83686840,83698968,84029809,84198993,84468436,84509473,84621238,84737428,84951449,85291161,85474601,85687593,86697161,87072081,87170793,87604933,87634534,87663993,87691448,87744114,87762561,87775990,88058121,88343494,88614196,88634465,88895655,89003140,89167445,89220148,89255064,89656275,90180408,90231558,90272974,90539140,90645958,91033119,91228009,91490361,91663393,91772401,91787988,92075793,92544821,92594734,92841940,92955288,93203332,93479118,93609220,93923961,94058226,94119889,94147695,94161339,94505793,94822032,94823761,94883129,95376921,95425078,95526121,95633360,95799982,95860041,96770415,97167796,97180228,97361934,97646165,97665334,97675973,97883302,97978641,98417281,98652879,99416481,99425641,99792769,99924276,...,304836661596711494725802733197692404420084382196729419985303925928539237752603269733467990904390366145150615756593856588010365884559588862727415550565184243060717687293525535279554156147004046033484481529690851542326377439398425511464543985908190724262632502455009655542539518441234486108731481951237758528824641655729965352087778620446629428436721119135293181930784436333642178681974583525954455226741388299227849029783879372056047062606465503921233906112550769026610156766125892880616069845419197695418825186422005331838852028624801701273771185389871969762397432391759780833159802275537273488743782307468927621077745544303779368505454431965032334483566860273620492037134752202234134270061351090398650407225924214088978240280269582948535319125889764037257835049367516449749438429466736956763162248173124498671848180609317670501579383140032872704314059318587001675381440681198531568683294258019492462654328162980888272747301388121467080217968554744812214134586047671908608977399917731491921611072503551227624685724464698615356962618458927245549312653999597339461523218184060498842429998837476074986590996796858401716468801529970885020140309775904633323248304431494843956633070469061374772205047648317470148947131604439324036961451894674351887633218992087605375953583260957876684502121008906760302669052386633655221017211825893113440980149917830828637978929978305960696166708305328492296213913144428276270577217348331913969454517462718236036420398077810071240056331744294003400498217579375588451299919105761008898586466317419416417499458425040370907812143766909646022119461705648809114366489654403488206025320447374701783958992570692955622260830523515132514695449598274121441884412440019067501198451946621427713066037269307256720902732956793163781976964543877945342718333346003369083538694900877463038906019770538511635753417516925415606880820214161600011672519346307611757852212569556791011906316658149865833264493474949671547886421057500734286051506909254675283795053224387141570377205574070816676297983355661365403626543536687549021378407413496042107891161736402709847088945893655429215292140959356261160303079240042091536008304388731746975257086420794661592130966723686505448073968730624555176587297944359206376854960472009512264953610024257966048871272740177941295425314840569627814998552074922935777489773334441307914341677238294761286715142095282417547415735942256744569916896407772318156716537953524574528280436481836552342932057407623078671519580805938640779816496675930977690324777815798816085836594552757194566237812868705943041302594938009379621307640094152815935449745624251690539041908064872574263743308579949336746791729889127833898161708317641466163418582199829432696629152629987056719849880197455923774277225383019208503363303582884679707905007023183646616136499047537246879845982322741021633168651866218128707697279318524679334799866661432953536687981078840086374395803164010750510058311869701086616743971706024492716882087116550745692495332805960908118585094501760581733729312163822860303677309592160041595100858369707357954719495720353933764385317384616707860754084595207436254762276161154378950399308388124563}
19672  83203898757171280766005327959207504953931606869021740236860192560735480: {216271,550508,786440,884745,943728,1061694,1742887,1976671,2210167,2392298,2559871,2626802,2861162,4627724,4644487,4874671,4963922,5219407,5429618,5448871,5565548,5678047,6359282,6819607,7055018,7387687,7518122,7593548,7749458,8527724,8673362,8856271,8903978,9364778,9417871,9753967,9926828,10702988,10973042,11313847,11424727,12198871,12529567,13003112,13026668,13030442,13938824,13954124,14391271,14608927,14628501,14880428,15302762,15343148,15497324,15681177,16207658,16421708,16659242,16742504,16884818,17412247,17560682,17625871,17652428,17675912,17785682,17839207,17936745,18158671,18574124,18684242,18727628,18835317,19132528,19494668,19694985,19885401,21007984,21317671,21485228,21524094,21790988,21824817,22666447,22920938,23181967,23585138,23633982,23900671,24207607,24288117,24921271,25129898,25981925,26228978,26237287,26940871,26969324,27640927,27727724,28138807,28333868,28416338,28634282,28634887,28914425,29129167,29242124,30589298,30683144,30904268,31088287,31178310,31507724,32261324,32488197,32962922,33164588,33177842,33256864,33592087,34517324,34518537,34697310,35117708,35391007,35417708,35943297,36223112,36327367,36885727,37010464,37021778,37144424,37364588,37413972,37657898,37718407,38504042,38676425,39448761,40399442,40519401,40541887,40721671,40751001,40823912,41169871,41447402,41636772,41787477,41836748,41865578,42060871,42306117,42700202,43002537,43646527,44082847,44756817,44776682,44802188,45092697,45396818,45410312,45603242,45689324,45724447,45826233,45926901,45938985,46237447,46407871,46411710,47017868,47086687,47255671,47454578,47679945,47844847,47864402,48049388,48096271,48763567,49001584,49505824,49591207,50002327,50061777,50107724,50166271,50329927,50364425,50514218,50574871,50689265,50858608,51086601,51628807,52516437,52590871,52737362,52885473,52896345,52938602,52988671,53139698,53281925,53384671,53541458,53629544,53729781,53767724,54143018,54327727,54950671,55126782,55694052,55752801,55939922,55953127,56138858,56368545,56422768,56826668,56871185,57019087,57142745,57215934,57262508,57621871,58120298,58133324,58162101,58514858,58575433,58711922,58739671,59108671,59202537,59695082,60126448,60316737,60333237,60437310,60827118,60870122,60963665,61027724,61065458,61070167,61284871,61641271,61783327,62428778,62470124,62559487,62622962,62699671,63010898,63102057,63475614,63592265,63741871,63938310,63964025,63978218,64466464,65030145,65106271,65308447,65326418,65643967,65777671,65977687,66205388,66858578,66902527,67294567,67642254,68200864,68245422,68337365,68350508,68518927,68571242,68571294,68921324,69141065,69365488,70203788,70214145,70272242,70399207,70583671,70706287,70803537,71024498,71315047,72274087,72335468,72524772,72570007,72687871,73044428,73098127,73156398,73225985,73236597,73312377,73389007,73453418,73735687,73850671,73991697,74136871,74459948,74723361,74751218,74787477,74816407,74895088,75673898,75816271,76198807,76225778,76310718,76631671,76725972,76730017,76756830,76858988,76959602,77111912,77508458,78007304,78036174,78056018,78098181,78110407,78265868,78313985,78420338,78544401,78625745,78726871,78907857,78965738,79132087,79328618,79509842,79690922,79977871,80233298,80552985,80562367,80802847,81244550,81335877,81459897,81854421,81873952,81885871,82004838,82031858,82210922,82272345,82435807,82455845,82969278,83329327,83548207,83678671,83679190,83722124,84256974,84289925,84657367,84879602,85062065,85252268,85757671,85923184,85938002,85955671,86034367,86073607,86126001,86750901,86843287,87031207,87090950,87186425,87291271,87401647,87747788,87757168,87758217,87871182,87908167,88128213,88284485,88469767,88561322,88607287,88709671,88777567,88811407,89255402,89277607,89594984,89761447,89819468,90319054,90375545,90464498,90482312,90561727,90646124,90972487,90980522,91152242,91323818,91396927,91424647,91562167,91837682,92108196,92145871,92197207,92428145,92766871,92932687,92974025,93031658,93453297,93517687,93541202,93708847,93812527,93937925,93976782,94218578,94303927,94350894,94762124,94767247,94964671,94996567,95066097,95308748,95385007,95440447,95454127,95581868,95638087,95712607,95931487,95984767,95988345,96114871,96143167,96307327,96353767,96390487,96438871,96495889,96501871,96530671,96567967,96573007,96606271,96619447,96627871,96647671,96655087,96658687,96663582,96738247,96739327,96746887,96828425,97203381,97280249,97354028,97484037,97493460,98289681,98726814,98772950,98947014,99225458,99323912,99663308,...,406448882128948659634403644263589872560112509595639226647071901238052317003471026311290654539187154860200821008791808784013821179412785150303220734086912324080956916391367380372738874862672061377979308706254468723101836585864567348619391981210920965683510003273346207390052691254979314811641975934983678038432855540973287136117038160595505904582294825513724242574379248444856238242632778034605940302321851065637132039711839162741396083475287338561645208150067692035480209021501190507488093127225596927225100248562673775785136038166402268365028247186495959683196576522346374444213069700716364651658376409958570161436994059071705824673939242620043112644755813698160656049513002936312179026748468120531533876301232285451970987040359443931380425501186352049677113399156688599665917905955649275684216330897499331562464240812423560668772510853377163605752079091449335567175254241598042091577725677359323283539104217307851030329735184161956106957291406326416285512781396895878145303199890308655895481430004734970166247632619598153809283491278569660732416871999463119282030957578747331789906665116634766648787995729144535621958402039961180026853746367872844430997739241993125275510760625415166362940063531089960198596175472585765382615269192899135850177625322783473834604777681277168912669494678542347070225403182178206961356282434524151254640199890441104850638573304407947594888944407104656394951884192571035027436289797775885292606023283624314715227197437080094986741775659058671200664290105834117935066558807681345198115288423225888556665944566720494543749525022546194696159282274198412152488652872537984274700427263166269045278656760923940829681107364686843352927266131032161922512549920025423334931269262161903617421383025743008961203643942390885042635952725170593790291111128004492111384926534503284051874693027384682181004556689233887475841093618882133348896692461743482343802950092742388015875088877533154444352657966599562063848561410000979048068675879006233711726737632516188760502940765427755568397311140881820538168724715583398695171209884661389477188215648536946462785261191540572287056187945808348213737438986722788714677739184975662633676115227726215456174622298248673930765291640832740235449730592478941835806613962679349686604813365677288065161696986903921727233753120759503753331402766563914369986364445921743885788902984393015048953522793709890063220981256342326093222528543696424208955383938032766037707248642448736457242743210164104895359441074584854373088662234574636920433037087731754781115459403676259421650417158274590721736793250679172828410186792203754580599660832335587385389210753163432351657744773265782329055639852170445197548944423521954884558109599772576928838870173316075626466506929941231699036300510692278004484404777179572943873342697578195488181998730049662506461309763654695510891535821624171610263039091366239113066488881910604715583974771786781832527737552014334013411082492934782155658628941365990289176116155400994256660443741281210824780126002347442311639082885097147071569746122880055460134477826276477272959327627138578352513756512822277147672112793609915006349701548205838600532411184166084}
19673  83529196246457486974280044324589006251589857414425073811345916629934852: {688135,825762,983050,1179660,1258304,1415592,1592541,3588447,3940203,4291743,5784655,6941586,6956935,7445883,8144427,8348322,9491935,9538923,10582527,10659655,11277183,11377723,11390322,11432047,11624187,12196471,12408535,12722347,12791586,13010043,13355967,13378735,14047167,14649691,14890242,15466423,15667591,16054482,16253890,16283335,16459563,16740962,17017627,17423530,17442655,17662303,18381986,18491287,18600535,19178935,19371655,19504668,19540002,19545663,19655791,20527135,20908236,20928130,20931186,21123583,21190843,22065535,22094890,22160347,22320642,22643647,22954143,23014722,23217655,23245986,23307967,23409535,23444047,23888743,23915660,24302503,24311487,24368335,24632562,24988863,25113756,25327227,25680967,26259980,26291911,26341023,26417467,26478642,26513868,26678523,26710711,26847751,26856535,27198223,27238735,27861186,28026363,28091442,28144171,28698792,29099756,29242002,30177403,30863467,31080842,31511976,31695223,32041106,32227842,32252791,32286141,32384156,32501371,32686482,32869783,33711655,34237303,34381407,34642327,34659655,35377707,35417335,35450973,35560507,35720923,35747602,35817307,36552655,37087567,37522207,37542103,37688498,37694847,38038111,38320018,38353930,38362027,38402263,38630335,39343467,39384655,39577243,39734023,40326655,40453986,40908571,41332687,41431807,41455735,41571080,41591586,41954527,42500802,42604507,42624507,42736591,42876386,42951423,43075771,43146655,43317596,43460098,43622743,43863186,43897135,44272135,44501282,44615983,44969282,45278890,45883947,46024716,46027762,46263080,46356402,46430530,46705735,46767465,46925851,47261586,47273362,47924396,48095323,48341527,48391986,48947071,48951727,48989287,49369922,49411231,49444383,49651627,49746882,49766763,49796527,49844743,49885296,50325307,51029890,51063067,51485071,51775986,52045965,52245602,52295935,52598348,52610642,52676562,53126562,53656586,53946727,54025868,54334668,55229362,55329271,55515696,55532667,55716636,56002735,56046882,56120958,56408156,56486847,56762890,57111655,57241447,57299503,57336716,57346783,57756063,57804571,58368967,58540087,58772335,58844383,59268511,59675756,59713627,59906671,60047263,60061735,60123596,60326827,60341047,60599163,60694802,61101644,61182871,61235868,61251980,61591291,61882280,62171103,62455158,62634655,62755122,62798367,63234247,63332167,63573260,63858103,63938482,64003087,64050303,64491362,64825423,65533202,65823031,66749036,66829927,67013026,67036930,67086343,67145002,67165023,67203282,67209655,67472923,67810327,68095227,68115468,68256391,68404863,68533986,69432703,69617565,70021916,70371247,70513964,70526802,70528460,70631227,70791487,71033335,71181867,71312407,71578135,71639708,71796603,72074082,72666655,72827551,73502376,73670503,74258736,74337068,74783407,74834203,74976511,74976847,75076522,75158060,75161586,75182786,75472882,75629311,75771327,76237243,76284655,76287912,76584482,76787522,76934503,77498983,77501311,77549468,78087655,78395611,78891271,78936716,79106043,79142767,79172023,79407903,79603082,79709547,80074546,80162107,80312187,80422316,80444316,80583080,80593378,80651586,80877871,80947106,81049447,81102824,81214527,81808738,81818167,81865627,82469167,82690173,82756735,83541078,83788651,83909883,84136076,84163087,84208287,84352642,84632071,84634152,85081642,85240002,85251080,85438135,85823901,85893762,85976767,86151655,86369623,86491186,86706860,86908423,87180447,87199986,87754735,87772287,88067883,88656751,89542623,89589122,90077767,90189672,90419335,90655965,90993896,91174171,91240677,91255711,91305183,91305535,91428392,91541586,91598187,91658762,92127727,92532907,93074935,93203503,93618860,93643167,93654187,93705186,93934443,94157026,94327111,94404716,94516347,94684498,94893007,95213421,95360251,95643307,95907465,95967327,96073735,96180802,96389890,96699696,96896827,97048402,97502722,97509130,97541864,97648796,97686007,97749836,97832335,97989627,98455771,98655596,99308082,99582802,99631148,99641083,99716636,...,609673323193422989451605466395384808840168764393458839970607851857078475505206539466935981808780732290301231513187713176020731769119177725454831101130368486121435374587051070559108312294008092066968963059381703084652754878796851022929087971816381448525265004910019311085079036882468972217462963902475517057649283311459930704175557240893258856873442238270586363861568872667284357363949167051908910453482776598455698059567758744112094125212931007842467812225101538053220313532251785761232139690838395390837650372844010663677704057249603402547542370779743939524794864783519561666319604551074546977487564614937855242155491088607558737010908863930064668967133720547240984074269504404468268540122702180797300814451848428177956480560539165897070638251779528074515670098735032899498876858933473913526324496346248997343696361218635341003158766280065745408628118637174003350762881362397063137366588516038984925308656325961776545494602776242934160435937109489624428269172095343817217954799835462983843222145007102455249371448929397230713925236917854491098625307999194678923046436368120997684859997674952149973181993593716803432937603059941770040280619551809266646496608862989687913266140938122749544410095296634940297894263208878648073922903789348703775266437984175210751907166521915753369004242017813520605338104773267310442034423651786226881960299835661657275957859956611921392333416610656984592427826288856552541154434696663827938909034925436472072840796155620142480112663488588006800996435158751176902599838211522017797172932634838832834998916850080741815624287533819292044238923411297618228732979308806976412050640894749403567917985141385911244521661047030265029390899196548242883768824880038135002396903893242855426132074538614513441805465913586327563953929087755890685436666692006738167077389801754926077812039541077023271506835033850831213761640428323200023345038692615223515704425139113582023812633316299731666528986949899343095772842115001468572103013818509350567590106448774283140754411148141633352595966711322730807253087073375098042756814826992084215782323472805419694177891787310858430584281918712522320606158480084183072016608777463493950514172841589323184261933447373010896147937461249110353174595888718412753709920944019024529907220048515932097742545480355882590850629681139255629997104149845871554979546668882615828683354476589522573430284190564835094831471884513489139833792815544636313433075907049149056560872963673104685864114815246157343039161611877281559632993351861955380649555631597632171673189105514389132475625737411886082605189876018759242615280188305631870899491248503381078083816129745148527486617159898673493583459778255667796323416635282932326837164399658865393258305259974113439699760394911847548554450766038417006726607165769359415810014046367293232272998095074493759691964645482043266337303732436257415394558637049358669599733322865907073375962157680172748791606328021501020116623739402173233487943412048985433764174233101491384990665611921816237170189003521163467458624327645720607354619184320083190201716739414715909438991440707867528770634769233415721508169190414872509524552322308757900798616776249126}
19674  83855756521031302845247805626363740125284980589314215411615070830436481: {255593,432542,1101016,1238643,1391813,1474575,1572880,1769490,1887456,1898969,2015813,2123388,2560133,3257669,3373673,3485774,3721253,3836969,3953342,4106693,4414469,4420334,4529753,4683353,4784596,4875173,4990169,5119742,5253604,5258213,5487653,5678633,5722324,7199273,7728473,8519333,8857193,8894693,8969669,9255448,9288974,9418853,9749342,9927844,10412379,10438814,10859236,10897742,11131096,11204069,11315033,11356094,11462873,12236933,12522483,12567593,12718564,12787673,13300073,13639214,13774469,14110036,14320169,14392793,14775374,15036244,15187096,15498916,16484969,16556633,16664069,17055448,17085483,17346724,17712542,17807956,18373253,18729556,18835742,18903593,19187379,19507934,19853656,20204069,20274053,21319973,21354713,21405976,21667013,21840233,21946084,22047833,22335363,22393193,22462169,22565573,22627694,22703333,22849454,23492969,23937413,24005669,24081723,24244313,24380835,24397742,24923993,25025669,25059134,25111443,25127273,25971173,26006224,26053336,26060884,26135295,26441573,26977253,27144233,27572979,27776933,27877648,27908248,27976133,28141913,28782542,28868969,29132393,29217854,29257002,29310003,29362469,29760856,29894575,30441833,30506969,30605524,30686296,30994648,31362354,31392195,31396779,31415513,31899653,32349893,32415316,32542373,32824975,32843416,32926469,33142335,33245669,33318484,33480963,33485008,33769636,33976793,34522083,34824494,34868979,35121364,35238233,35251742,35304856,35351824,35571364,35614169,35678414,35873490,36317342,36374695,36948843,37148248,37368484,37455256,37670634,38265056,38488613,38549669,38989336,39097733,39389970,39552473,39673433,39717963,39764069,39770802,39914969,40456553,40480195,40576553,40666469,40816169,41174633,41204453,41710169,41791779,42015968,42137163,42449669,42635342,42970456,43048188,43581976,43649634,43680773,43768169,43863003,44695913,44868953,45070469,45300293,45332894,45644069,45729833,45841876,45986693,46271333,46363934,46583513,46621263,47120453,47170276,47267964,47289413,47801342,47850533,47962373,48061659,48341763,48415214,48464069,48576234,49018469,49029723,49624613,49842542,50035673,50259796,50335973,50580953,50933669,51661913,51963850,52457956,52464233,52474574,52544069,52995113,53417513,53470169,53621403,53881742,53938648,54146995,54203993,54983273,55281854,55421669,55455448,56062169,56277614,56494853,56532747,56667736,56832676,57026153,57202469,57268564,57269774,57480027,57503813,57530895,57654053,57828850,57953669,58028393,58078169,58258334,58484248,58771673,59116073,59848793,59905495,59921669,60236633,60284969,60680979,60934373,61178596,61244969,61366288,61601669,61808536,62027333,62074469,62176574,62356620,62387379,62731013,62777669,62847593,63010469,63015448,63542873,63750053,63751203,63773033,64230953,64314579,64522648,64730969,64976394,65002073,65190147,65339333,65674793,65747935,65794779,65808473,65919653,65925844,66074969,66329176,66355684,66513728,66751923,67172969,67184174,67453923,67532335,67649753,67714469,67822169,67918335,68079833,68421593,68993669,69034648,69037074,69041643,69162053,69246053,69308969,69394620,69534603,69559913,69645795,69788933,69934169,70235416,70285253,70510195,70613573,70782014,70835416,70892379,70899173,70910043,70964971,71223653,71264069,71670895,71706533,71886594,72005993,72164969,72422213,72446224,72587979,72654734,72717353,72756569,72815333,72893573,72952169,73572713,73771454,74020928,74043556,74054883,74147033,74288848,74450393,74594695,74620323,74729176,74827944,74995013,75154495,75315796,75436814,75514469,75606569,75936473,76377055,76480553,76544835,76564975,76606469,76642373,76910633,77008084,77017433,77352850,77353733,77663979,77756969,77965673,78138713,78224933,78368403,78738053,78897522,78915963,79008773,79014843,79160153,79466575,79619659,79689843,79742693,79989353,79999843,80005733,80396453,80477273,80484879,80798884,80814533,81005669,81038802,81083774,81443342,81447173,81502002,81647824,81681113,81897833,81944069,82339742,82402469,82844043,82894804,82957913,83179973,83273544,83436295,83516969,83574954,83618693,83662169,83673496,83731156,83950169,83993093,84070323,84092969,84121742,84181437,84516569,84558533,84612234,84683993,85144335,85349131,85400404,85570853,85942469,85981913,86005074,86099813,86165033,86526569,86755673,86869253,86932073,87131753,87293054,87317093,87427433,87527395,87742553,88040453,88142455,88160575,88165694,88205093,88240169,88495193,88552613,88586969,88870469,89029171,89389913,89422469,89513634,89549635,89553364,89604376,89690969,89744069,90006569,90089513,90185394,90243653,90314969,90486533,90586373,90793433,90793636,90820624,90881093,90987353,91042203,91196969,91206484,91378648,91384169,91448894,91586393,91640873,91652466,91658969,91775813,91853802,91877970,92144069,92212613,92373353,92474894,92782553,92815742,92823420,92830313,92885669,92909273,92921335,93366233,93454169,93583913,93682737,93683033,93704069,93828773,93910469,93947575,93991013,94035736,94057253,94132683,94173374,94187333,94206569,94289093,94376453,94511342,94564313,94593893,94664069,94767173,94789733,94873193,94909156,94981673,95013593,95092133,95189033,95302469,95350469,95359890,95430233,95556569,95655653,95672311,95689694,95705669,95728804,95734313,95766569,95875433,95907723,95963753,95981573,96002693,96077669,96084293,96098776,96136133,96173669,96192542,96309593,96325673,96344069,96387113,96411353,96459653,96516569,96520553,96522533,96549413,96578213,96593513,96601733,96626693,96650969,96660293,96674153,96716393,96737043,96755753,96757733,96761669,96764069,96764453,96765413,96766169,96797491,96936835,97527134,98003168,98299803,98670895,99011648,99182414,...,914509984790134484177408199593077213260253146590188259955911777785617713257809809200403972713171098435451847269781569764031097653678766588182246651695552729182153061880576605838662468441012138100453444589072554626979132318195276534393631957724572172787897507365028966627618555323703458326194445853713275586473924967189896056263335861339888285310163357405879545792353309000926536045923750577863365680224164897683547089351638116168141187819396511763701718337652307079830470298377678641848209536257593086256475559266015995516556085874405103821313556169615909287192297175279342499479406826611820466231346922406782863233236632911338105516363295895097003450700580820861476111404256606702402810184053271195951221677772642266934720840808748845605957377669292111773505148102549349248315288400210870289486744519373496015544541827953011504738149420098618112942177955761005026144322043595594706049882774058477387962984488942664818241904164364401240653905664234436642403758143015725826932199753194475764833217510653682874057173394095846070887855376781736647937961998792018384569654552181496527289996512428224959772990390575205149406404589912655060420929327713899969744913294484531869899211407184124316615142944952410446841394813317972110884355684023055662899656976262816127860749782873630053506363026720280908007157159900965663051635477679340322940449753492485913936789934917882088500124915985476888641739433284828811731652044995741908363552388154708109261194233430213720168995232882010201494652738126765353899757317283026695759398952258249252498375275121112723436431300728938066358385116946427343099468963210464618075961342124105351876977712078866866782491570545397544086348794822364325653237320057202503595355839864283139198111807921770162708198870379491345930893631633836028155000038010107250616084702632389116718059311615534907260252550776246820642460642484800035017558038922835273556637708670373035718949974449597499793480424849014643659263172502202858154520727764025851385159673161424711131616722212450028893950066984096210879630610062647064135222240488126323673485209208129541266837680966287645876422878068783480909237720126274608024913166195240925771259262383984776392900171059516344221906191873665529761893833077619130564881416028536794860830072773898146613818220533823886275944521708883444995656224768807332469320003323923743025031714884283860145426285847252642247207826770233709750689223316954470149613860573723584841309445509657028796172222869236014558742417815922339449490027792933070974333447396448257509783658271583698713438606117829123907784814028138863922920282458447806349236872755071617125724194617722791229925739848010240375189667383501694485124952924398490255746599488298089887457889961170159549640592367771322831676149057625510089910748654039123715021069550939848409497142611740639537946968223064899505955598654386123091837955574038004399599984298860610063943236520259123187409492032251530174935609103259850231915118073478150646261349652237077485998417882724355755283505281745201187936491468580911031928776480124785302575109122073864158487161061801293155952153850123582262253785622308764286828483463136851197925164373689}
19675  84183584448180743746107102995792223857656093589601034346449820773839721: {648813,963389,1376270,1651524,1966100,2359320,2516608,2654235,2831184,3185082,5228661,5930013,5980745,6567005,6630501,7152905,7176894,7679613,7880406,8098517,8583486,9739709,11569310,12409805,13153613,13288709,13510601,13574045,13883172,13913870,13933461,14442989,14624013,14891766,14923517,15035501,15658221,15898205,16288854,16346613,16696644,17034141,17371949,17510837,17637545,18730229,18795305,18983870,19077846,19373645,19393301,19740221,20111741,20322089,20458821,21040457,21165054,21319310,21683405,21968237,22163061,22259945,22554366,22755446,22780644,22796669,22864094,23248374,23411945,24392942,24419717,24444941,24817070,24915413,25444694,25583172,26020086,26040749,26189501,26568813,26711934,26757470,26850509,27120317,27161621,27432605,27706601,28094334,28253613,28552829,28737989,29261901,29299382,29385077,29728649,29780484,30891749,30932846,31335182,32108964,32504717,32507780,32566670,32576105,32773349,32919126,33261293,33481924,33688589,33941541,34035254,34115669,34274181,34847060,34885310,34965293,35324606,36047237,36596613,36763972,36982574,37031453,37201070,37588701,37599149,38134229,38256905,38265221,38357870,38743310,38790653,39009336,39080004,39091326,39311582,40519145,40661429,41054270,41336933,41648105,41816472,41856260,41862372,41958821,42167429,42212045,42247166,42381686,43173813,43826781,43830761,43885503,43901705,44131070,44185289,44189780,44289173,44320694,44464205,44641284,45287294,45336941,45908286,46029444,46435310,46491972,46615934,46710605,46819070,46888094,47043531,47196317,47688773,47777486,47831320,48346493,48516509,48523517,48605006,48622974,48736670,48847721,48994301,49265124,49584269,49977726,50074469,50227512,50350781,50654454,51173717,51334733,51361934,51490373,52048169,52236741,52519960,52583822,52682046,52834934,52877613,52957284,53027736,53357046,53421422,53517621,53695502,53713070,53810235,54082469,54396446,54476013,54477470,55138517,55224317,55722372,56052726,56182884,56288342,56457317,56505951,57170957,57302345,57397584,57852041,58038029,58199512,58374941,58484004,58850441,58962845,59072189,59084955,59656203,59930729,60333053,60347261,60354806,60405317,60845993,61189133,61395701,61455989,61726934,61838597,61980989,62161684,62394413,62824745,63023952,63390446,63953013,64040621,64082212,64455684,64505582,64572282,64768312,65002742,65372964,65388029,65474451,65572445,65739566,66241277,66421541,67423310,67726973,67999341,68314493,68417093,68474606,68762814,69284654,69319310,69545901,69756389,70132649,70391453,70755414,70798793,70834670,70901946,71040845,71121014,71295341,71370821,71441846,71495204,71585705,71634614,71702013,72622821,72756713,72864351,73064261,73105310,73214309,73566917,74175134,74763813,74791061,75044414,75084206,75376996,75389694,75637097,76076222,76473245,76640036,76707860,76724054,76804526,77260670,77323229,77945775,78403829,78632717,78686934,78711861,78769310,79154486,79468046,79551449,79956317,80653310,80822613,80907972,81057773,81817142,81826541,82281269,82337621,82407305,82479413,82665374,82846229,82863614,82911470,82922781,82944605,83142160,83183172,83797277,83909054,84086429,84138989,84171701,84416421,84526877,84640733,84823133,85001604,85209014,85249014,85473182,85752772,85902846,85904661,85985621,86151542,86293310,86635192,86743275,86920196,87016073,87245486,87387501,87688517,87719549,87726372,87794270,88172597,88544270,88609001,88733417,89002564,89041829,89231966,89315909,89938564,90557780,91265129,91597253,91767894,92049432,92055524,92096141,92526160,92554445,92712804,92861060,93264861,93411470,93532361,93534930,93851702,94093517,94144745,94347173,94523172,94546724,94550429,95848792,96190646,96260105,96553589,96683054,96783972,97463561,97464591,97894142,97903454,97978574,98739844,98822462,98850569,98885453,98888766,99086957,99303254,99446669,99493764,99533526,99593054,99651341,99689486,99770592,...,1219346646386845978903210932790769617680337528786917679941215703714156951010413078933871963617561464580602463026375426352041463538238355450909662202260736972242870749174102141118216624588016184133937926118763406169305509757593702045858175943632762897050530009820038622170158073764937944434925927804951034115298566622919861408351114481786517713746884476541172727723137745334568714727898334103817820906965553196911396119135517488224188250425862015684935624450203076106440627064503571522464279381676790781675300745688021327355408114499206805095084741559487879049589729567039123332639209102149093954975129229875710484310982177215117474021817727860129337934267441094481968148539008808936537080245404361594601628903696856355912961121078331794141276503559056149031340197470065798997753717866947827052648992692497994687392722437270682006317532560131490817256237274348006701525762724794126274733177032077969850617312651923553090989205552485868320871874218979248856538344190687634435909599670925967686444290014204910498742897858794461427850473835708982197250615998389357846092872736241995369719995349904299946363987187433606865875206119883540080561239103618533292993217725979375826532281876245499088820190593269880595788526417757296147845807578697407550532875968350421503814333043831506738008484035627041210676209546534620884068847303572453763920599671323314551915719913223842784666833221313969184855652577713105082308869393327655877818069850872944145681592311240284960225326977176013601992870317502353805199676423044035594345865269677665669997833700161483631248575067638584088477846822595236457465958617613952824101281789498807135835970282771822489043322094060530058781798393096485767537649760076270004793807786485710852264149077229026883610931827172655127907858175511781370873333384013476334154779603509852155624079082154046543013670067701662427523280856646400046690077385230447031408850278227164047625266632599463333057973899798686191545684230002937144206027637018701135180212897548566281508822296283266705191933422645461614506174146750196085513629653984168431564646945610839388355783574621716861168563837425044641212316960168366144033217554926987901028345683178646368523866894746021792295874922498220706349191777436825507419841888038049059814440097031864195485090960711765181701259362278511259994208299691743109959093337765231657366708953179045146860568381129670189662943769026978279667585631089272626866151814098298113121745927346209371728229630492314686078323223754563119265986703723910761299111263195264343346378211028778264951251474823772165210379752037518485230560376611263741798982497006762156167632259490297054973234319797346987166919556511335592646833270565864653674328799317730786516610519948226879399520789823695097108901532076834013453214331538718831620028092734586464545996190148987519383929290964086532674607464872514830789117274098717339199466645731814146751924315360345497583212656043002040233247478804346466975886824097970867528348466202982769981331223843632474340378007042326934917248655291441214709238368640166380403433478829431818877982881415735057541269538466831443016338380829745019049104644617515801597233552498252}
19676  84512684913821146098575488737795166390971144991993540583623389415512285: {511186,865084,1313803,1431019,1548163,2064405,2202032,2457625,2477286,2783626,2949150,3145760,3538980,3760219,3774912,3797938,3875923,4031626,4246776,4453363,4777623,5120266,6515338,6747346,6971548,7086403,7442506,7673938,7880203,7906684,8213386,8445043,8783083,8828938,8840668,8895619,9059506,9366706,9569192,9750346,9980338,10239484,10507208,10516426,10765341,10975306,11357266,11444648,11574883,11820609,12875229,14321683,14398546,15456946,16594219,17038666,17237683,17353965,17714386,17789386,17939338,18510896,18577948,18622963,18837706,19363843,19498684,19855688,20311219,20824758,20835019,20870805,20877628,21357019,21718472,21795484,22262192,22337649,22408138,22630066,22712188,22809043,22925746,23015323,23529763,23837563,24433281,24473866,25044966,25135186,25437128,25575346,25974019,26377363,26478019,26578603,26600146,27278428,27548938,27979219,28078723,28220072,28475805,28575163,28616769,28640338,28785586,29365723,29550748,29955619,30072488,30374192,30542923,30997832,31321963,31419019,31747581,31978965,32969938,33113266,33328138,33831549,34110896,34133169,34170966,34296141,34693448,34872561,35242219,35425084,35615912,35618203,36180019,36589413,36746506,37225605,37459112,37480843,37671484,37807186,38125963,38167041,38374758,39015868,39030129,39707312,39768643,39859219,40067901,40136205,40408138,40548106,40634725,41119723,41209219,41852405,42011443,42141501,42454603,42543019,42639946,42709426,42811952,43334026,43510843,43558825,43680466,43892168,43949073,44095666,44670726,44786386,44924338,45075763,45131146,45255388,45406666,45592219,45678043,45698908,45954965,46020619,46399269,46532323,46985938,47002773,47210563,47716219,47874826,48011338,48163446,48488626,48761670,48795484,48850005,48886003,49378689,49847986,50051338,50118268,50222886,50254546,50287483,50924573,51052881,51506803,51942346,52012448,52106672,52121768,52270590,52320325,52327965,52883146,52986909,53107363,53503003,53954506,54132283,54210619,54288466,54601219,55145958,55237225,55473861,55553866,55755296,55801605,55816496,55952266,56283826,56672273,57536805,57565084,57737938,57960883,58035619,58114965,58264786,58408219,58435708,58514004,58620006,58636989,58724938,58967373,59521712,59588443,59789150,59953483,60883666,60966019,61013938,61211048,61372592,61395643,61581405,61989296,62035219,62724708,62784390,62793558,62831026,63018523,63366283,63370749,63572529,63781219,63799306,64699786,64830632,65084746,65649950,65686832,65852938,66196605,66284670,66415123,66481041,66491338,66636968,66744883,66810619,66961926,66970016,67539272,67930941,67953586,68110219,68862429,69044166,69381019,69648988,69652965,69737958,69923901,70005619,70228605,70242728,70332141,70476466,70503484,70609712,70684363,70703648,71142728,71228338,71293843,71356828,71666229,71746980,72491203,72634684,72749390,72907509,72934461,73105005,73312219,73602019,73897686,74296496,74460619,74517283,74736968,74910512,74966589,75247363,75341268,75524923,75805793,75981681,76530112,76977226,77042901,77099338,77702105,77785363,77978672,77994019,78195466,78201523,78561883,78779940,78875733,79023069,79104946,79221763,79252401,79346866,79435926,79528138,79541604,79829938,80017219,80035569,80102765,80132133,80543253,80569605,80913106,80960390,81033283,81153106,81332938,81594669,81632338,81693019,81716205,82109683,82349266,82384219,82408906,82656163,83280619,83420338,83543923,83583558,83867693,84031936,84079089,84105523,84274326,84432513,84529243,84738403,84821563,84899338,85151323,85270684,85836763,85940912,86096376,86152123,86769019,86958019,86995603,87163952,87299268,87361546,87536338,87696019,87726006,88951843,89052283,89369005,89391826,89447563,89609203,89737906,89927083,90052219,90140938,90329563,90511219,90532209,90600586,90665788,91288138,91459666,91683752,91791019,91950643,91973386,92047109,92081683,92287603,92313019,92439019,92542666,92587843,92590401,92727868,93157219,93167026,93242526,93621403,93727243,94033963,94132603,94210219,94221245,94240906,94340552,94399219,94535928,94545269,94578826,94651723,94686643,94772683,95067523,95085669,95160619,95324563,95466043,95534083,95574043,95602684,95701066,95788243,95800045,95881843,95884825,95924746,95949019,96105619,96123318,96163723,96254803,96377923,96471523,96516883,96541219,96597019,96622219,96683526,96758373,96781483,96785803,96830428,96858423,96928138,97152468,97504113,98036938,98059446,98609349,98714273,99249226,99685084,...,1829019969580268968354816399186154426520506293180376519911823555571235426515619618400807945426342196870903694539563139528062195307357533176364493303391105458364306123761153211677324936882024276200906889178145109253958264636390553068787263915449144345575795014730057933255237110647406916652388891707426551172947849934379792112526671722679776570620326714811759091584706618001853072091847501155726731360448329795367094178703276232336282375638793023527403436675304614159660940596755357283696419072515186172512951118532031991033112171748810207642627112339231818574384594350558684998958813653223640932462693844813565726466473265822676211032726591790194006901401161641722952222808513213404805620368106542391902443355545284533869441681617497691211914755338584223547010296205098698496630576800421740578973489038746992031089083655906023009476298840197236225884355911522010052288644087191189412099765548116954775925968977885329636483808328728802481307811328468873284807516286031451653864399506388951529666435021307365748114346788191692141775710753563473295875923997584036769139309104362993054579993024856449919545980781150410298812809179825310120841858655427799939489826588969063739798422814368248633230285889904820893682789626635944221768711368046111325799313952525632255721499565747260107012726053440561816014314319801931326103270955358680645880899506984971827873579869835764177000249831970953777283478866569657623463304089991483816727104776309416218522388466860427440337990465764020402989305476253530707799514634566053391518797904516498504996750550242225446872862601457876132716770233892854686198937926420929236151922684248210703753955424157733733564983141090795088172697589644728651306474640114405007190711679728566278396223615843540325416397740758982691861787263267672056310000076020214501232169405264778233436118623231069814520505101552493641284921284969600070035116077845670547113275417340746071437899948899194999586960849698029287318526345004405716309041455528051702770319346322849422263233444424900057787900133968192421759261220125294128270444480976252647346970418416259082533675361932575291752845756137566961818475440252549216049826332390481851542518524767969552785800342119032688443812383747331059523787666155238261129762832057073589721660145547796293227636441067647772551889043417766889991312449537614664938640006647847486050063429768567720290852571694505284494415653540467419501378446633908940299227721147447169682618891019314057592344445738472029117484835631844678898980055585866141948666894792896515019567316543167397426877212235658247815569628056277727845840564916895612698473745510143234251448389235445582459851479696020480750379334767003388970249905848796980511493198976596179774915779922340319099281184735542645663352298115251020179821497308078247430042139101879696818994285223481279075893936446129799011911197308772246183675911148076008799199968597721220127886473040518246374818984064503060349871218206519700463830236146956301292522699304474154971996835765448711510567010563490402375872982937161822063857552960249570605150218244147728316974322123602586311904307700247164524507571244617528573656966926273702395850328747378}
19677  84843062822565948395682074712193128092369237987417875626598673860699503: {766779,1081355,1297626,1926778,2752540,3303048,3715929,3932200,4175439,4423725,4718640,5033216,5308470,5662368,5696907,6047439,6370164,7680399,8373043,8714435,9193807,9773007,9883355,10014067,10121019,10457322,11050835,11163759,11510907,11860026,11961490,12320079,12799355,13134010,13243407,13261002,13589259,14050059,14305810,14353788,14625519,14970507,15359226,15545179,15760812,15774639,16197034,16462959,17035899,17068987,17166972,17373727,17879279,19003663,19165883,19479418,21597819,22257487,22491523,22712923,23020943,23138620,23185419,23222435,24304379,24373355,24692563,24819610,25557999,26097035,26130799,26307226,26313427,26571579,26577418,26684079,26836507,26909007,27021202,27123103,27148090,27244355,27623147,27766344,27827740,27866922,28256559,28390235,28885978,29248026,29610923,29783532,29847034,30071002,30356767,31163923,31178827,31237137,31316442,31796410,31979039,32577708,32693226,32776723,33393288,33582803,33612207,33945099,34068282,34098035,34388619,34743898,35021674,35275090,35566907,36710799,36938435,37361039,37460458,37567449,37590610,37702779,37967740,38155692,38363019,38405647,38747290,38786602,39480442,39813787,39900219,40223482,40309043,40644178,40917642,41322619,41323407,42080914,42189323,42330108,42553859,42638620,42960507,43178379,43258847,43366810,43936474,44281355,44326122,44519890,45108732,45421619,45510892,45561288,45593338,45606547,45728188,45843499,46496748,46823890,47089355,47128303,47356763,48766307,48769835,48785884,48839434,48852739,48889882,49454907,49634140,49669899,49806779,49830826,49992207,50481779,50787059,50889388,51073583,51166344,51256449,52040172,52081498,52379002,53137626,53423868,53514940,53559667,53701018,54240634,54270383,54323242,54865210,54974939,55119759,55413202,55965583,56132879,56188668,56359459,56507226,56569235,56710779,56726803,57105658,57123635,57475978,57562137,58171483,58307347,58523802,58598764,58770154,59096863,59457298,59560968,60612207,60635723,60822159,60852259,60994355,61462387,61783498,61865692,62249887,62400799,62439179,62647835,62670364,63215843,63959919,64064139,64217928,65001039,65009434,65015560,65133340,65152210,65181587,65268383,65394847,65520699,65546698,65838252,66143499,66522586,66538859,66963848,66981403,67006089,67179579,67377178,67386507,67696719,67883082,68070508,68084879,68109999,68231338,68548362,69694120,69770620,69812587,69930586,70139827,70478907,70649212,71302699,71812239,71956355,72017007,72094474,72245169,72732939,73044635,73142505,73193226,73527944,73577939,73740623,73965148,74062906,74402140,74771979,74991947,75077007,75177402,75198298,75334329,75381819,76268458,76513810,76530442,76715740,76950347,77486620,77581306,77913519,77963023,78018672,78160008,78182652,78405885,78623164,78768523,78907523,79324719,80223283,80931759,81038290,81322858,81432699,81740003,82108540,82547983,82673866,82718937,83189899,83296210,83330799,83632944,83712520,83724744,83917642,83928399,84055663,84334858,84424090,84425739,84494332,84535579,84763372,84771707,85500959,85960859,86347626,86502799,86606907,87024979,87061235,87397179,87653562,87661522,87728527,87771006,87803410,87930009,87954643,88087407,88129355,88159667,88262140,88370578,88379560,88578346,88641388,88675043,88910443,88928410,89196035,89282568,89683725,90574588,90673882,90793355,91325499,91520907,91801423,91816572,92058888,92573483,92870620,92983944,93231868,93421210,93638140,93776188,94087062,94176585,94190337,94246539,94392634,94852963,95377546,95554972,95662640,95698959,96692986,97033018,97047034,97049679,97210012,97245948,97473340,97627119,97695442,97988602,98447599,98474925,98530248,98779407,99168538,99427005,99436987,99457183,99737007,99823663,99955452,...,2743529954370403452532224598779231639780759439770564779867735333356853139773429427601211918139513295306355541809344709292093292961036299764546739955086658187546459185641729817515987405323036414301360333767217663880937396954585829603180895873173716518363692522095086899882855665971110374978583337561139826759421774901569688168790007584019664855930490072217638637377059927002779608137771251733590097040672494693050641268054914348504423563458189535291105155012956921239491410895133035925544628608772779258769426677798047986549668257623215311463940668508847727861576891525838027498438220479835461398694040767220348589699709898734014316549089887685291010352101742462584428334212769820107208430552159813587853665033317926800804162522426246536817872133007876335320515444307648047744945865200632610868460233558120488046633625483859034514214448260295854338826533867283015078432966130786784118149648322175432163888953466827994454725712493093203721961716992703309927211274429047177480796599259583427294499652531961048622171520182287538212663566130345209943813885996376055153708963656544489581869989537284674879318971171725615448219213769737965181262787983141699909234739883453595609697634221552372949845428834857231340524184439953916332653067052069166988698970928788448383582249348620890160519089080160842724021471479702896989154906433038020968821349260477457741810369804753646265500374747956430665925218299854486435194956134987225725090657164464124327783582700290641160506985698646030604483958214380296061699271951849080087278196856774747757495125825363338170309293902186814199075155350839282029298406889631393854227884026372316055630933136236600600347474711636192632259046384467092976959711960171607510786067519592849417594335423765310488124596611138474037792680894901508084465000114030321751848254107897167350154177934846604721780757652328740461927381927454400105052674116768505820669913126011119107156849923348792499380441274547043930977789517506608574463562183292077554155479019484274133394850166637350086681850200952288632638891830187941192405666721464378971020455627624388623800513042898862937629268634206350442727713160378823824074739498585722777313777787151954329178700513178549032665718575620996589285681499232857391694644248085610384582490218321694439841454661601471658827833565126650334986968674306421997407960009971771229075095144652851580436278857541757926741623480310701129252067669950863410448841581721170754523928336528971086388516668607708043676227253447767018348470083378799212923000342189344772529350974814751096140315818353487371723354442084416591768760847375343419047710618265214851377172583853168373689777219544030721125569002150505083455374858773195470767239798464894269662373669883510478648921777103313968495028447172876530269732245962117371145063208652819545228491427835221918613840904669194698517866795963158369275513866722114013198799952896581830191829709560777369562228476096754590524806827309779550695745354220434451938784048956711232457995253648173067265850515845235603563809474405742733095786329440374355907725327366221592475461483185403879467856461550370746786761356866926292860485450389410553593775493121067}
19678  85174723097797739263030153294785636890443478307303477483891295056547896: {334237,1022372,1730168,1946439,1977277,2094097,2627606,2677117,2862038,2890167,3096326,3440675,4128810,4404064,4876177,4915250,4954572,4991197,5567252,5898300,6291520,6935521,7077960,7503421,7520438,7549824,7595876,7751846,7962705,8063252,8069521,8493552,8906726,8971537,9555246,9980797,10240532,10650397,11428321,12202717,12313057,12863677,13030676,13494692,13631521,13943096,14172806,14395837,14885012,15265021,15347876,15685983,15760406,15805921,15813368,16426772,16560157,16890086,17417821,17566166,17657876,17681336,17738257,17790039,17791238,17942235,18119012,18270877,18733412,19138384,19500692,19701015,19752637,19891503,19960676,20278417,20478968,21014416,21032852,21458715,21530682,21950612,22467037,22714532,22889296,23038839,23149766,23498077,23641218,24010897,24295551,25031137,25741021,25750458,26044177,27050017,28247521,28643366,28797092,28923275,28941277,29219127,29237521,29533117,30513757,30903997,30913892,31971217,33188438,33316897,33603421,34077332,34269457,34475366,34553821,34707930,34784675,35308957,35428772,35578772,35878676,36433021,36619357,36898321,37021792,37155896,37229415,37245926,37675412,38558497,38727686,38997368,39460839,39711376,39866127,40531803,40622438,40722135,40735777,40825597,41649516,41670038,41741610,41755256,41800383,42164257,42714038,43328967,43436944,43590968,43872039,44098321,44524384,44675298,44770551,44816276,45106503,45224797,45260132,45424376,45618086,45826321,45851492,46030646,46424317,46934077,46974663,47059526,47103421,47459675,47675126,47694615,48866562,48947732,49039839,50089932,50270372,50874256,51102423,51150692,51948038,52115847,52532511,52610017,52754726,52912635,52956038,53157206,53200292,53298275,53404177,53483197,54425821,54556856,54815521,55097876,55958438,55973821,56127037,56157446,56190687,56385915,56440144,56508817,56888615,56951610,57115921,57150326,57160235,57233538,57280676,57571172,57643357,58092637,58120935,58179903,58593367,58731446,58761697,58835677,59101496,59220663,59351521,59911238,60144976,60300157,60335223,60748384,60966267,60982355,61085846,61308157,61376463,61664737,61735837,61877821,61995664,62042675,62090257,62643926,62793697,62838038,63121371,63281821,63495162,63611735,63957930,64178977,64336951,65050215,65131537,65199037,65904711,65939876,66226532,66489183,66656276,66665821,66779835,66893675,67125217,67321021,67663098,67775377,68221792,68266338,68341932,68390007,68482237,68592282,68800657,69386896,69745122,70235835,70484438,70611997,70850168,71231824,71236406,71283217,71404321,72360038,72599521,72717457,72776317,73178826,73248455,73259151,73334823,73477021,73493012,73592797,73765921,73880977,74224417,74451210,74746239,74918224,74961686,75183421,75342968,75572257,75614372,76251926,76285021,76334082,76663777,76749516,77332115,77726497,77987677,78031736,78060258,78122247,78143521,78337955,78568503,78760417,79414624,79417021,79537286,79706439,79718438,79765537,80135802,80272410,80500477,80551527,80816276,80885821,81096212,81124321,81266557,81269450,81360951,81416675,81484863,81502177,81921757,81968017,82239446,82289821,82297815,82418438,82833277,83119803,83704810,83715997,83975197,84022886,84283002,84359137,84760839,84909206,85086038,85088135,85279892,85313821,85418852,85596817,85623904,85658487,85994977,86113021,86213967,86668052,87021686,87071521,87117650,87183517,87213275,87331837,87360932,87442321,87784336,87785703,87898146,87913597,87985021,88155231,88191332,88311515,88853521,89185947,89341452,89353021,89572772,89580577,89772817,89848676,90151526,90262292,90510776,90515857,90605821,90813332,91103377,91184438,91245757,91356086,91397816,91414237,91469821,91607521,91689277,91824097,91909930,92041238,92192017,92456435,92675247,92798538,92956477,93002675,93050077,93064646,93715357,93971876,94005546,94220257,94421126,95015677,95293021,95432438,95506321,95600317,95749652,95765521,95789857,95894675,96022676,96049021,96120337,96326892,96423997,96557917,96592477,96629521,96639457,96667537,96688957,96715921,96742417,96797821,96803617,96805921,96858275,96977252,97514151,97523340,97590968,97700010,97728315,97772006,98278955,98320047,98757378,99695972,99783879,...,3658039939160537936709632798372308853041012586360753039823647111142470853031239236801615890852684393741807389079126279056124390614715066352728986606782210916728612247522306423354649873764048552401813778356290218507916529272781106137574527830898288691151590029460115866510474221294813833304777783414853102345895699868759584225053343445359553141240653429623518183169413236003706144183695002311453462720896659590734188357406552464672564751277586047054806873350609228319321881193510714567392838145030372345025902237064063982066224343497620415285254224678463637148769188701117369997917627306447281864925387689627131452932946531645352422065453183580388013802802323283445904445617026426809611240736213084783804886711090569067738883363234995382423829510677168447094020592410197396993261153600843481157946978077493984062178167311812046018952597680394472451768711823044020104577288174382378824199531096233909551851937955770659272967616657457604962615622656937746569615032572062903307728799012777903059332870042614731496228693576383384283551421507126946591751847995168073538278618208725986109159986049712899839091961562300820597625618359650620241683717310855599878979653177938127479596845628736497266460571779809641787365579253271888443537422736092222651598627905051264511442999131494520214025452106881123632028628639603862652206541910717361291761799013969943655747159739671528354000499663941907554566957733139315246926608179982967633454209552618832437044776933720854880675980931528040805978610952507061415599029269132106783037595809032997009993501100484450893745725202915752265433540467785709372397875852841858472303845368496421407507910848315467467129966282181590176345395179289457302612949280228810014381423359457132556792447231687080650832795481517965383723574526535344112620000152040429002464338810529556466872237246462139629041010203104987282569842569939200140070232155691341094226550834681492142875799897798389999173921699396058574637052690008811432618082911056103405540638692645698844526466888849800115575800267936384843518522440250588256540888961952505294693940836832518165067350723865150583505691512275133923636950880505098432099652664780963703085037049535939105571600684238065376887624767494662119047575332310476522259525664114147179443320291095592586455272882135295545103778086835533779982624899075229329877280013295694972100126859537135440581705143389010568988831307080934839002756893267817880598455442294894339365237782038628115184688891476944058234969671263689357797960111171732283897333789585793030039134633086334794853754424471316495631139256112555455691681129833791225396947491020286468502896778470891164919702959392040961500758669534006777940499811697593961022986397953192359549831559844680638198562369471085291326704596230502040359642994616156494860084278203759393637988570446962558151787872892259598023822394617544492367351822296152017598399937195442440255772946081036492749637968129006120699742436413039400927660472293912602585045398608948309943993671530897423021134021126980804751745965874323644127715105920499141210300436488295456633948644247205172623808615400494329049015142489235057147313933852547404791700657494756}
19679  85507670681739573564871379747375756504514798047377150441634183984383901: {1277965,1513897,1533558,2162710,2595252,3853556,3941409,4293057,4644489,5505080,6193215,6606096,6959065,7372875,7431858,7864400,8350878,8847450,9437280,9494845,10066432,10079065,10616940,11280657,11324736,11393814,11627769,12094878,12200209,12726241,12740328,12800665,13360089,13836697,14332869,15305257,15360798,15471169,16288345,16746086,16868365,17428870,17667709,17919097,18387614,18606265,19184845,19546014,19661809,19766710,20028134,20242038,20533465,20882257,20914644,21130057,21197329,21259209,22072345,22101670,22327518,22648765,22650589,23021814,23315101,23416765,23451241,23640609,23720052,23896057,23922980,24375865,24640158,24950845,25335129,25598710,26268020,26291065,26299969,26349249,26486814,26522004,26593129,26686857,26718889,27178518,27206569,27298777,27438265,28100118,28393165,28611620,28707576,28723357,29251038,29433217,29941014,30120589,30718452,30872929,31090358,31521624,31549278,32296023,32394068,32511409,32879857,32925918,32942557,33094561,34071798,34122697,34137974,34247809,34333944,34724649,34747454,35461827,35571409,35758558,35823337,35996365,36231709,36535849,37533721,38007326,38049769,38142097,38331766,38373841,38625687,38642365,38958836,39746329,39751249,40921177,41444509,42193657,42596665,42617641,42749689,42965049,43088977,43195638,43495537,43636129,44285965,44473465,44514974,44629657,44837161,44848345,44983046,45159697,45425846,46041886,46277240,46321057,46370838,46444870,47094265,47737249,48544177,48608758,48746710,48962077,49385126,49639220,49666849,49782657,49860109,50792257,51078841,51115998,51413017,51500977,51713049,51713809,52061895,52194070,52261598,52614452,52626854,53143158,53154836,53368158,53610337,53673014,53761537,53818014,53963281,54042404,54246206,54296180,54488710,55002589,55246294,55532688,55655480,55733844,55868889,56020345,56110057,56513118,56575165,56780470,57314365,57317149,57771956,58091529,58496052,58862557,59084377,59221846,59286769,59567064,59694068,59925217,60065689,60142004,60359689,60641929,60713534,60933657,61184665,61769101,61993897,62327846,62357654,62474274,62505057,62612415,62632884,62837965,63222337,63351601,63592820,63877789,63938365,63958078,64071057,64388029,64817497,65155416,65386452,65553446,65843329,65925097,66338857,66500365,66786576,66850489,67012947,67106929,67165606,67224414,67890198,68136564,68196070,68277769,68427129,68777238,68872345,69045969,69454009,69487796,69784657,70043348,70392841,70550180,70589289,70653001,71133814,71512689,71600845,71963965,72600289,72850009,73024717,73299843,73421598,73791757,73876870,74165641,74722078,74857249,74920916,75134898,75181220,75405558,75650557,75652669,75935480,76251241,76311384,76726038,76811294,76958269,77293009,77494580,77522857,77573204,77714557,77918137,77922057,78915649,78960884,79132089,79196929,79434057,79567837,79627574,79735809,79800438,79973089,80186809,80415841,80446964,80618086,81288356,81748369,81835284,82424845,82645238,82646814,82783165,83320345,83814529,83937657,84161828,84236169,84263821,84378646,84660216,84986737,85107718,85277240,85392097,85427415,85682497,85725489,85850307,85921014,85969657,86003329,86356758,86396257,86517694,86646241,86733620,87148009,87706969,87872948,88097169,88190761,88562710,88652244,88718641,89039780,89054689,89334337,89866857,90217464,90843238,91021784,91080601,91122576,91186676,91202617,91213094,91456376,91628769,91686998,91866265,92583037,92713657,92956537,92993496,93232369,93647780,93965889,94178710,94256606,94257057,94356169,94517965,94713526,94744849,94922641,95242743,95936895,96573697,97398697,97532614,97539670,97571768,97678868,97705478,97716109,97779764,98909814,99107401,99268280,99339798,99613558,99661652,99671857,99984414,...,5487059908740806905064449197558463279561518879541129559735470666713706279546858855202423836279026590612711083618689418584186585922072599529093479910173316375092918371283459635031974810646072828602720667534435327761874793909171659206361791746347433036727385044190173799765711331942220749957166675122279653518843549803139376337580015168039329711860980144435277274754119854005559216275542503467180194081344989386101282536109828697008847126916379070582210310025913842478982821790266071851089257217545558517538853355596095973099336515246430622927881337017695455723153783051676054996876440959670922797388081534440697179399419797468028633098179775370582020704203484925168856668425539640214416861104319627175707330066635853601608325044852493073635744266015752670641030888615296095489891730401265221736920467116240976093267250967718069028428896520591708677653067734566030156865932261573568236299296644350864327777906933655988909451424986186407443923433985406619854422548858094354961593198519166854588999305063922097244343040364575076425327132260690419887627771992752110307417927313088979163739979074569349758637942343451230896438427539475930362525575966283399818469479766907191219395268443104745899690857669714462681048368879907832665306134104138333977397941857576896767164498697241780321038178160321685448042942959405793978309812866076041937642698520954915483620739609507292531000749495912861331850436599708972870389912269974451450181314328928248655567165400581282321013971397292061208967916428760592123398543903698160174556393713549495514990251650726676340618587804373628398150310701678564058596813779262787708455768052744632111261866272473201200694949423272385264518092768934185953919423920343215021572135039185698835188670847530620976249193222276948075585361789803016168930000228060643503696508215794334700308355869693209443561515304657480923854763854908800210105348233537011641339826252022238214313699846697584998760882549094087861955579035013217148927124366584155108310958038968548266789700333274700173363700401904577265277783660375882384811333442928757942040911255248777247601026085797725875258537268412700885455426320757647648149478997171445554627555574303908658357401026357098065331437151241993178571362998465714783389288496171220769164980436643388879682909323202943317655667130253300669973937348612843994815920019943542458150190289305703160872557715083515853483246960621402258504135339901726820897683163442341509047856673057942172777033337215416087352454506895534036696940166757598425846000684378689545058701949629502192280631636706974743446708884168833183537521694750686838095421236530429702754345167706336747379554439088061442251138004301010166910749717546390941534479596929788539324747339767020957297843554206627936990056894345753060539464491924234742290126417305639090456982855670443837227681809338389397035733591926316738551027733444228026397599905793163660383659419121554739124456952193509181049613654619559101391490708440868903877568097913422464915990507296346134531701031690471207127618948811485466191572658880748711815450654732443184950922966370807758935712923100741493573522713733852585720970900778821107187550986242134}
19680  85841910535526557559053515787787174603114347040677612170497307991414667: {373559,668474,1392239,1626551,1899551,2016431,2044744,2133239,2300337,2483231,2677391,2716199,2910119,3244065,3374711,3460336,3490679,3722399,3838151,3892878,3954554,4107959,4188194,4338911,4531151,4646399,4816945,4876679,4991711,5106671,5255212,5354234,5374631,5680391,5724076,5780334,5947511,6192652,6708551,6881350,7315079,8108039,8257620,8296319,8521991,8634719,8808128,8859959,8972471,9571319,9752354,9830500,9909144,9982394,10019111,10354199,11134504,11147787,11318591,11429519,11466479,11577311,11796600,12240791,12526317,12583040,13271175,13304279,13871042,13888151,14155920,14397359,14542559,15006842,15040876,15099648,15191752,15302759,15483239,15503692,15925410,16126504,16139042,16490231,16597751,16669391,16987104,17027111,17090721,17562191,17813452,17943074,18095471,18142317,18839039,19015559,19110492,19789871,19961594,20210591,20315591,20385551,20481064,21300794,21535271,21951191,22572911,22676279,22813991,22856642,23041197,23534879,23603351,23911079,24354431,24405434,24626114,25033871,25119129,25135511,25727354,25979711,26047031,26061352,26080679,26143305,26383151,26450279,26952719,26989384,27086399,27253319,27263042,27453359,27581421,27786119,27886192,28084919,28151231,28250639,28345612,28647551,28791674,29240759,29273639,29319021,29536391,29650065,29770024,29903725,30027671,30042201,30363057,30451991,30530042,30549719,30695752,30712439,30907439,30939911,31231799,31371966,31520812,31523039,31611842,31626736,31813631,32006999,32835025,32853544,33120314,33152505,33352511,33491277,33607199,33780172,34273319,34304951,34532721,34589279,34835642,34935911,35132332,35312951,35315752,35344319,35362672,35476514,35532359,35580078,35582476,35764525,35884470,36188231,36238024,36541754,36623519,36654551,36902519,36960237,37088159,37366079,37466824,37550999,37858559,38276768,38398065,38501831,38654471,39001384,39019991,39402030,39505274,39730221,39777791,39783006,39868391,39921352,39928751,40492585,40556834,40560599,40680551,40767777,40957936,41188919,41308199,41813711,42028832,42065704,42080399,42150177,42552911,42611831,42917430,43061364,43257839,43579391,43783511,43876557,43901224,44884751,44911521,44934074,45086351,45258839,45429064,45660191,45745991,45778592,45831719,46077678,46299532,46543319,46600031,46635537,46939631,46996154,47137199,47221751,47278079,47282436,47323917,47783591,47979479,48021794,48063311,48591102,48698545,48897671,49201799,49388877,50062274,50299559,50354111,50707919,50870759,51107697,51206961,51482042,51500916,51653759,52088354,52121181,52563191,52775831,53120279,53437031,53516039,53637837,54040919,54100034,54302159,54458519,54666551,54848159,55442111,55519271,55980719,56082911,56159471,56495042,56515799,57010989,57122999,57148199,57286732,57497649,57594184,57675551,57800591,57846550,57882554,57975311,58050071,58099871,58174511,58438254,58475042,58793711,59066234,59236439,59871359,59944271,60089879,60259391,60380231,60597239,61027514,61101071,61268231,61411199,61625111,61767359,61807994,61827784,61909319,62049025,62050991,62098151,62731679,62871671,62941559,63313079,63567311,63636479,63866519,63942434,64004159,64210079,64324199,64483631,64793457,65229959,65342279,65476799,65611031,65768065,66011999,66100751,66376876,66443545,66633794,66674519,66772461,66937511,67133999,67206842,67329839,67460039,67474569,67553005,67741151,67870225,67913471,68106719,68138769,68154664,68235191,68384711,68512559,68538914,68830919,68950732,69062829,69107642,69336551,69399431,69415860,69556257,69569350,69667305,69879119,70024271,70617914,70641911,70703279,70744151,70857544,70927679,71157544,71252351,71312999,71353391,71434079,71554871,71757352,72214945,72510839,72746951,72844991,72866042,72913137,72981911,73079471,73120065,73238714,73506359,73622111,73796642,73891079,73967639,74043584,74077689,74234591,74311792,74458830,74491852,74537759,74617585,74801351,75177505,75350824,75582719,75601151,75858359,75968111,76022879,76512551,76673997,76996391,77103119,77116994,77386319,77439191,77455372,77842151,77994736,78016031,78050711,78171839,78223631,78258119,78291105,78392397,78618311,78921678,78940281,79042511,79244351,79277879,79422752,79428359,79491025,79544951,79644061,79714737,79732254,79826471,80024329,80052237,80089319,80333879,80509521,80512079,80560511,80673239,80727021,80817599,80897519,80913479,81063606,81151919,81244876,81369309,81444270,81471554,81482711,81651194,81733065,81979991,82164359,82438751,82484231,82590071,82755599,82869441,82935071,83157791,83299032,83340076,83483220,83510512,83597831,83600766,83655959,83699471,83786279,84030671,84073559,84286919,84328514,84596591,84666431,84763871,84769677,84916199,85136039,85170705,85340279,85375297,85428076,85809839,85862879,86021231,86139239,86178431,86204519,86566391,86657934,86795711,86833679,86859745,86873888,86972279,87181936,87345359,87357671,87468119,87529199,87554185,87744078,87747431,87927311,88010639,88176119,88187725,88196642,88281671,88525439,88571471,88628831,88663151,88708799,88832769,88912631,88979999,89002391,89048768,89056429,89147159,89202479,89334431,89350596,89465231,89541102,89632552,89734031,89818991,89892911,90008279,90081191,90101951,90213006,90409511,90449594,90520264,90540551,90630479,90848752,90925559,90954671,91070301,91236172,91241831,91429271,91457111,91521791,91631759,91652642,91686311,91702984,91731551,91839311,91981199,91998791,92061292,92112359,92129711,92241719,92360831,92419799,92470031,92486711,92635391,92733071,92829599,92848634,92877431,92932871,92956511,92980079,93065879,93204191,93249719,93302471,93491769,93536481,93651145,93653639,93711411,93752591,93773591,93801479,93868154,93949326,93976525,94006559,94106399,94119052,94165439,94206842,94243151,94255991,94275191,94357559,94413791,94444751,94487759,94542479,94644071,94661759,94806359,94817711,94834679,94919350,94940471,95085839,95194871,95280551,95310239,95344511,95350252,95389230,95473031,95509991,95541911,95595719,95617799,95783159,95787239,95843519,95937117,96017399,96035279,96066959,96070439,96141671,96167879,96187199,96199919,96228071,96264599,96350879,96391319,96419831,96442439,96449831,96513119,96545759,96558311,96572591,96578591,96584519,96611231,96623999,96643271,96650039,96659951,96663191,96717359,96723839,96734999,96739751,96761591,96768479,96774071,96776759,96786791,96815399,96817319,96825479,96868225,96966505,97733124,97895464,98079678,98330169,98701105,...,8230589863111210357596673796337694919342278319311694339603206000070559419320288282803635754418539885919066625428034127876279878883108899293640219865259974562639377556925189452547962215969109242904081001301652991642812190863757488809542687619521149555091077566285260699648566997913331124935750012683419480278265324704709064506370022752058994567791470216652915912131179781008338824413313755200770291122017484079151923804164743045513270690374568605873315465038870763718474232685399107776633885826318337776308280033394143959649004772869645934391822005526543183584730674577514082495314661439506384196082122301661045769099129696202042949647269663055873031056305227387753285002638309460321625291656479440763560995099953780402412487567278739610453616399023629005961546332922944143234837595601897832605380700674361464139900876451577103542643344780887563016479601601849045235298898392360352354448944966526296491666860400483983364177137479279611165885150978109929781633823287141532442389797778750281883498957595883145866514560546862614637990698391035629831441657989128165461126890969633468745609968611854024637956913515176846344657641309213895543788363949425099727704219650360786829092902664657118849536286504571694021572553319861748997959201156207500966096912786365345150746748045862670481557267240482528172064414439108690967464719299114062906464047781432373225431109414260938796501124243869291997775654899563459305584868404961677175271971493392372983350748100871923481520957095938091813451874643140888185097815855547240261834590570324243272485377476090014510927881706560442597225466052517846087895220668894181562683652079116948166892799408709801801042424134908577896777139153401278930879135880514822532358202558778548252783006271295931464373789833415422113378042684704524253395000342090965255544762323691502050462533804539814165342272956986221385782145782363200315158022350305517462009739378033357321470549770046377498141323823641131792933368552519825723390686549876232662466437058452822400184550499912050260045550602856865897916675490563823577217000164393136913061366882873165871401539128696588812887805902619051328183139481136471472224218495757168331941333361455862987536101539535647097997155726862989767857044497698572175083932744256831153747470654965083319524363984804414976483500695379951004960906022919265992223880029915313687225285433958554741308836572625273780224870440932103387756203009852590231346524745163512263571785009586913259165550005823124131028681760343301055045410250136397638769001026568034317588052924444253288420947455060462115170063326253249775306282542126030257143131854795644554131517751559505121069331658632092163376707006451515250366124576319586412301719395394682808987121009650531435946765331309941905485085341518629590809196737886352113435189625958458635685474283505665755841522714007584095553600387889475107826541600166342039596399858689745490575489128682332108686685428290263771574420481929338652087236062661303355816352146870133697373985760944519201797551547535706810691428423217228199287358988321123067723175982098664777426384449556211638403569384651112240360284070600778878581456351168231660781326479363201}
19681  86177447639277704108638034325163816819659580338669559722837271324281642: {19681,1002711,1789151,2555930,3027794,3067116,4325420,5190504,5839317,5931831,6282291,6569015,7155095,7707112,7740815,7882818,8031351,8586114,8670501,9288978,9742691,10322025,11010160,12288125,12386430,13157639,13212192,13292783,13918130,14110691,14447411,14628531,14745750,14863716,14973591,15040103,15728800,15736391,16701756,17694900,17920931,18088031,18801095,18874560,18989690,19379615,19746263,20132864,20158130,20328311,20806563,21233880,21974963,22266815,22320983,22510263,22561314,22649472,22787628,22803683,23255538,23615711,23888115,24189756,24208563,24400418,24452423,24679031,24923039,25452482,25480656,25601330,26048771,26720178,26858783,26914611,27301571,27494591,27673394,27715103,28561571,28665738,28746851,29394083,29737751,29862899,29942391,30610514,30721596,30901283,30942338,31708271,31951191,32197871,32262191,32576690,32783471,33492172,33736730,34079183,34126211,34284963,34549511,34784711,34857740,34931183,34976051,35335418,35432015,35838194,36608151,36775228,36807491,36939171,37212530,38276963,38369690,38413571,38591031,38802599,39092028,39323618,39401015,39533420,39750431,40056268,40484076,40494263,40673891,40894563,41066930,41349671,41764514,41829288,42225215,42260114,42336671,42394658,42518418,42622019,43187511,43915415,44144690,44198831,44203340,44302751,44478095,44655036,45297530,45301178,45350903,45795063,46043628,46630202,46833530,46902482,47057949,47281218,47417763,47440104,47703491,47792114,47845960,47929379,48361391,48531383,48612659,48751730,48971879,49280316,49680471,49865231,49901690,50366303,50394911,50670258,51197420,51350471,51506279,52064183,52253463,52536040,52582130,52599938,52698498,52861271,52973628,53044008,53186258,53214771,53370117,53370551,53373714,53437778,53826705,54037271,54099311,54357036,54413138,54597554,54812631,54876530,56200236,56384051,56786330,57050051,57223240,57370391,57415152,57446714,57874415,58502076,58795871,58866434,59103045,59257911,59635331,59674509,59882028,59949191,60241178,60351731,60365903,60835251,60864791,61436904,61745858,61775423,62000351,62180716,62262851,62787683,63043248,63098556,63357671,63884351,64060343,64376145,64592046,64788136,64824131,65022818,65759714,65851836,65885114,65931971,66029039,66189122,66261683,66441923,67401111,67747811,68143596,68245394,68275948,68495618,68667888,69116517,69449298,69494908,69826991,70418111,70494231,70660259,70820711,70923654,71142818,71392823,71517116,71608415,71646674,71667431,71992730,72032691,72463418,72779039,72886653,73032191,73071698,73589603,73700831,74470751,75067442,75093411,76014652,76099538,76284194,76663532,76747682,77223063,77251374,77284730,77722511,77917672,78132531,78428483,79205231,79492658,79502498,79576031,79913111,80240111,81082751,81150051,81505511,81659111,81842354,82889018,82971095,84165191,84387314,84552983,84742563,85193330,85235282,85394879,85499378,85658531,85930098,86012183,86177954,86188415,86391276,86769825,86823831,86991074,87272258,87284039,87650303,87657381,87712563,87973151,88199843,88571930,88599351,88928759,88946930,89029948,89142119,89259314,89513711,89674322,89696690,89862131,89966092,90075119,90115103,90319394,90851692,91089923,91293383,91541271,91625831,92083772,92085071,92124503,92554480,92642114,92711991,92741676,92866499,92889740,92966051,93100511,93114815,93241991,94168079,94188530,94376291,94549571,95036903,95474498,95575031,95913651,96421283,96583751,96819215,97088354,97217516,97493420,97821251,97924154,98770252,98880983,99278440,99333698,99565314,99720218,99844259,99950691,...,10974119817481613810128898395116926559123037759082259119470941333427412559093717710404847672558053181225422167237378837168373171844145199058186959820346632750185836742566919270063949621292145657205441335068870655523749587818343318412723583492694866073454770088380347599531422663884441499914333350244559307037687099606278752675160030336078659423721960288870554549508239708011118432551085006934360388162689978772202565072219657394017694253832758141164420620051827684957965643580532143702178514435091117035077706711192191946198673030492861245855762674035390911446307566103352109993752881919341845594776163068881394358798839594936057266196359550741164041408406969850337713336851079280428833722208639254351414660133271707203216650089704986147271488532031505341282061777230592190979783460802530443473840934232481952186534501935436138056857793041183417355306135469132060313731864523147136472598593288701728655555813867311977818902849972372814887846867970813239708845097716188709923186397038333709177998610127844194488686080729150152850654264521380839775255543985504220614835854626177958327479958149138699517275884686902461792876855078951860725051151932566799636938959533814382438790536886209491799381715339428925362096737759815665330612268208276667954795883715153793534328997394483560642076356320643370896085885918811587956619625732152083875285397041909830967241479219014585062001498991825722663700873199417945740779824539948902900362628657856497311134330801162564642027942794584122417935832857521184246797087807396320349112787427098991029980503301453352681237175608747256796300621403357128117193627558525575416911536105489264222523732544946402401389898846544770529036185537868371907838847840686430043144270078371397670377341695061241952498386444553896151170723579606032337860000456121287007393016431588669400616711739386418887123030609314961847709527709817600420210696467074023282679652504044476428627399693395169997521765098188175723911158070026434297854248733168310216621916077937096533579400666549400346727400803809154530555567320751764769622666885857515884081822510497554495202052171595451750517074536825401770910852641515295296298957994342891109255111148607817316714802052714196130662874302483986357142725996931429566778576992342441538329960873286777759365818646405886635311334260506601339947874697225687989631840039887084916300380578611406321745115430167031706966493921242804517008270679803453641795366326884683018095713346115884345554066674430832174704909013791068073393880333515196851692001368757379090117403899259004384561263273413949486893417768337666367075043389501373676190842473060859405508690335412673494759108878176122884502276008602020333821499435092781883068959193859577078649494679534041914595687108413255873980113788691506121078928983848469484580252834611278180913965711340887674455363618676778794071467183852633477102055466888456052795199811586327320767318838243109478248913904387018362099227309239118202782981416881737807755136195826844929831981014592692269063402063380942414255237897622970932383145317761497423630901309464886369901845932741615517871425846201482987147045427467705171441941801557642214375101972484268}
19682  86514286992168058961731975086379160091181416142340754310603006645366252: {747118,1336948,1431457,1548637,2716477,2784478,2949181,3253102,3529681,3761377,3799102,3833895,3877117,4032862,4089488,4108381,4266478,4541691,4600674,4685281,4966462,5354782,5406775,5432398,5820238,6488130,6743723,6747217,6749422,6920672,6981358,7202257,7444798,7676302,7785756,7882657,7909108,8215918,8334817,8376388,8677822,8898397,9062302,9292798,9572317,9633890,9753358,9983422,10213342,10355281,10510424,10708468,10749262,11360782,11448152,11467681,11560668,11689297,11824227,11895022,12021181,12385304,12793057,12879171,13417102,13451857,13762700,13933467,14544097,14630158,15520957,16216078,16515240,16592638,17043982,17269438,17616256,17719918,17944942,18522781,18579645,19052881,19142638,19504708,19661000,19818288,19964788,20038222,20708398,20877195,20946337,22118625,22195681,22269008,22295574,22637182,22713181,22859038,22932958,23022817,23154622,23593200,23947837,24481582,25052634,25166080,25273681,26083537,26486737,26542350,26587357,26608558,26788381,26989117,27742084,27776302,28088017,28311840,28484535,28794718,29085118,29276881,30013684,30063697,30081752,30199296,30237195,30383504,30455377,30605518,30943357,30966478,31007384,31429537,31526557,31850820,32203681,32253008,32278084,32685181,32980462,33195502,33338782,33841971,33974208,34054222,34181442,34308817,34883307,35124382,35348317,35626904,35886148,36190942,36284634,36600627,36658717,37123297,37401181,37586077,37678078,38031118,38178723,38220984,38401995,39054877,39237181,39579742,39691681,39872977,39923188,40080267,40421182,40595281,40631182,40771102,40962128,41223517,41312977,41510091,41865215,42557857,42601588,42998607,43070542,43572175,43902382,45145822,45352558,45436381,45627982,45694177,45713284,45915771,45969035,46082394,46122397,46413507,47069758,47206702,47311837,47822158,47985181,48708862,48810868,48865035,49252228,49400737,49416775,50067742,50070335,50238258,50271022,50605095,50714017,51120637,51454708,51525457,51686881,51959422,52094062,52122704,52161358,52249597,52286610,52766302,52900558,53003127,53126737,53680381,53757291,53905438,53978768,54073681,54172798,54230497,54308797,54506638,54526084,54621277,54906718,55162842,55254175,55572238,55772384,55782817,55818795,56169838,56302462,56501278,56624317,56689619,56691224,57155281,57295102,57532381,57554535,57583348,58057297,58481518,58547278,58638042,58985427,59022781,59072782,59243857,59300130,59540048,59807450,59976097,60055342,60084402,60266977,60628957,60726114,60903982,61060084,61099438,61391504,61424878,61600395,61814878,61879822,62058877,62463598,62646771,62743932,62763037,62972881,63041624,63046078,63223684,63253472,63390171,63591987,63627262,63777627,63874717,63996775,64013998,65373181,65507677,65670050,65707088,66217035,66240628,66305010,66705022,66836797,66982554,67214398,67490557,67560344,67685281,67946295,67951767,68137117,68177963,68546638,68609902,68966881,69065442,69178558,69282781,69596881,69671284,69871822,69909181,69945303,70250295,70264664,70353723,70625902,70631504,70688638,70725344,70921827,70953028,71018557,71064718,71160156,71164952,71529050,71564497,71688171,71745181,71768940,72044881,72376462,72461437,72476048,72933181,73083508,73108897,73127595,73247038,73309102,73400317,73805038,73920474,74176318,74547997,74732158,74852535,74933648,75101998,75111037,75611617,75717118,76005387,76051681,76553536,76796130,77003662,77308942,77397181,77725895,78002768,78039982,78804060,78873195,78899907,79010548,79047747,79305937,79460442,79555582,79556317,79566012,79736782,79779387,79842704,79857502,80060571,80100817,80156667,80345437,80925181,80985170,81113668,81121198,81361102,81494557,81535554,81619707,81728737,81896331,81915872,82314795,82377838,82616398,82782781,83627422,84057664,84100381,84131408,84160798,84300354,84313681,84609277,84818257,85105822,85179495,85223662,85344935,85834860,86122728,86170071,86463997,86515678,86809057,86847037,86868635,86998237,87035857,87158782,87371197,87554977,87567022,87753114,87773137,87802448,87845281,88095517,88299651,88550881,89161297,89396395,89490337,89769502,89823042,89868148,90172702,90361767,90434257,90517678,90852577,90858128,91320382,91491982,91557184,91663438,91701457,91996477,92075291,92155356,92359357,92435281,92510557,92599064,92618787,93020963,93086638,93200062,93271074,93273181,93318397,93430177,93775777,93879262,93992308,94083037,94122781,94274398,94443502,94556158,94559137,94564872,94574207,94631137,94647834,94857181,94890877,95018315,95102881,95211997,95302717,95361757,95518177,95567182,95717437,95804881,95829415,95946577,95958958,96013537,96043588,96088381,96126622,96208477,96369181,96409681,96533917,96603217,96683677,96793297,96806077,96833617,96841681,96844381,96888069,97182204,97397090,97534227,97795342,98403598,98639571,98777754,98827671,99283683,...,16461179726222420715193347592675389838684556638623388679206412000141118838640576565607271508837079771838133250856068255752559757766217798587280439730519949125278755113850378905095924431938218485808162002603305983285624381727514977619085375239042299110182155132570521399297133995826662249871500025366838960556530649409418129012740045504117989135582940433305831824262359562016677648826627510401540582244034968158303847608329486091026541380749137211746630930077741527436948465370798215553267771652636675552616560066788287919298009545739291868783644011053086367169461349155028164990629322879012768392164244603322091538198259392404085899294539326111746062112610454775506570005276618920643250583312958881527121990199907560804824975134557479220907232798047258011923092665845888286469675191203795665210761401348722928279801752903154207085286689561775126032959203203698090470597796784720704708897889933052592983333720800967966728354274958559222331770301956219859563267646574283064884779595557500563766997915191766291733029121093725229275981396782071259662883315978256330922253781939266937491219937223708049275913827030353692689315282618427791087576727898850199455408439300721573658185805329314237699072573009143388043145106639723497995918402312415001932193825572730690301493496091725340963114534480965056344128828878217381934929438598228125812928095562864746450862218828521877593002248487738583995551309799126918611169736809923354350543942986784745966701496201743846963041914191876183626903749286281776370195631711094480523669181140648486544970754952180029021855763413120885194450932105035692175790441337788363125367304158233896333785598817419603602084848269817155793554278306802557861758271761029645064716405117557096505566012542591862928747579666830844226756085369409048506790000684181930511089524647383004100925067609079628330684545913972442771564291564726400630316044700611034924019478756066714642941099540092754996282647647282263585866737105039651446781373099752465324932874116905644800369100999824100520091101205713731795833350981127647154434000328786273826122733765746331742803078257393177625775611805238102656366278962272942944448436991514336663882666722911725975072203079071294195994311453725979535714088995397144350167865488513662307494941309930166639048727969608829952967001390759902009921812045838531984447760059830627374450570867917109482617673145250547560449740881864206775512406019705180462693049490327024527143570019173826518331100011646248262057363520686602110090820500272795277538002053136068635176105848888506576841894910120924230340126652506499550612565084252060514286263709591289108263035503119010242138663317264184326753414012903030500732249152639172824603438790789365617974242019301062871893530662619883810970170683037259181618393475772704226870379251916917271370948567011331511683045428015168191107200775778950215653083200332684079192799717379490981150978257364664217373370856580527543148840963858677304174472125322606711632704293740267394747971521889038403595103095071413621382856846434456398574717976642246135446351964197329554852768899112423276807138769302224480720568141201557757162912702336463321562652958726402}
19683  86852433612501099114840370763581149486993426075991608643849423890849999: {39362,1120677,1671185,2005422,2378981,3578302,4176717,4879653,5111860,5698653,6049293,6055588,6134232,6399717,6901011,7449693,8032173,8148597,8650840,8730357,9196621,9732195,9886385,10017133,10124133,10381008,10470485,10472037,10837141,11167197,11514453,11678634,11863662,12323877,12564582,13016733,13138030,13385585,13593453,13939197,14310190,14450835,14630037,14975133,15320013,15414224,15481630,15549937,15765636,16062702,16123893,17041173,17074213,17172228,17203375,17341002,17842533,18577956,18597553,19171757,19485382,20125653,20644050,21743381,21945237,22020320,22719877,24311837,24324117,24380885,24576250,24772860,24888957,24946981,24955985,25565973,25904157,26138797,26315278,26321533,26424384,26579877,26585566,26844721,26917413,27131461,27631613,27836260,28158581,28221382,28713957,28894822,29257062,29491500,29620001,29727432,29947182,30057333,30080206,31062597,31173541,31188373,31457600,31472782,32265493,33403512,33443361,33955773,34288557,34399437,34677605,34731933,35292517,35389800,35577821,35841862,36176062,36234853,36722373,37372493,37517105,37561313,37578951,37602190,37749120,37979380,38759230,39492526,39813525,39912837,40061837,40265728,40316260,40321397,40347605,40656622,41335333,41613126,41664453,42467760,43192077,43627677,43949926,44533630,44641966,44857685,45020526,45122628,45298944,45435557,45575256,45607366,45857617,45908277,46449717,46511076,47107397,47231422,47371277,47776230,48119933,48379512,48417126,48781253,48800836,48867793,48904846,49358062,49470693,49604821,49793253,49846078,49903985,50008173,50371477,50904964,50961312,51081333,51089357,51202660,51272163,52097542,52686573,53251985,53440356,53621381,53717566,53829222,54286413,54287021,54426951,54603142,54989182,54991793,55161421,55346788,55430206,56376853,56517117,56971181,57046677,57123142,57141605,57270737,57331476,57413477,57493702,57875857,58189381,58788166,59115301,59369613,59475502,59725798,59884782,59937581,60394597,60631773,60871057,60946773,61013585,61156653,61198517,61221028,61443192,61481581,61565285,61802566,61884676,62269333,62458517,63416542,63902382,64035857,64318385,64395742,64524382,64605813,65153380,65201681,65566942,65853573,66035797,66559277,66984344,67002037,67473460,67718733,68028837,68157605,68158366,68252422,68441973,68569926,69099022,69123591,69569422,69715480,69862366,69952102,70604637,70670836,70810053,70864030,71324773,71348897,71400157,71676388,71733237,71979185,73063293,73216302,73550456,73600517,73614982,73878342,74425060,74478373,75015677,75101613,75357387,75406533,76276253,76325105,76553926,76739380,76827142,76974113,77182062,77605198,77939133,78141093,78184056,78242037,78429915,78647236,78802030,78931901,79029605,79066840,79149453,79350837,79500862,80112536,80858157,80919281,80968152,80988526,81024181,81259197,81264557,81347782,81513853,81759957,81789126,81907517,82133860,82360077,82371517,82699342,82744263,82800785,83358357,83529028,83658576,84254757,84450430,84453693,84520228,84673342,84697873,84751917,84789316,85036836,85244038,85527317,85942653,86375022,86750813,87089105,87722277,87820917,87830830,87957063,88186853,88289380,88397662,88406680,88605502,88609173,88691285,88937917,88950195,88956190,89310072,89711175,90083013,90126603,90595060,90602356,90701806,91089171,91284181,91354385,91355973,91541797,91590126,91649157,92087256,92137317,92174897,92722317,92819733,93260404,93667060,93695397,93804964,94115898,94177717,94562436,94569117,94835526,94880208,95406982,95440893,95584228,95584813,95691920,95692277,95858758,96020997,96496913,96722782,97062766,97225318,97418981,97503460,97943758,98477917,98505075,98506181,98560632,98763185,99360942,99457515,99467953,99730462,99803380,...,24691769589333631072790021389013084758026834957935083018809618000211678257960864848410907263255619657757199876284102383628839636649326697880920659595779923687918132670775568357643886647907327728712243003904958974928436572591272466428628062858563448665273232698855782098945700993739993374807250038050258440834795974114127193519110068256176983703374410649958747736393539343025016473239941265602310873366052452237455771412494229136539812071123705817619946395116612291155422698056197323329901657478955013328924840100182431878947014318608937803175466016579629550754192023732542247485943984318519152588246366904983137307297389088606128848941808989167619093168915682163259855007914928380964875874969438322290682985299861341207237462701836218831360849197070887017884638998768832429704512786805693497816142102023084392419702629354731310627930034342662689049438804805547135705896695177081057063346834899578889475000581201451950092531412437838833497655452934329789344901469861424597327169393336250845650496872787649437599543681640587843913972095173106889494324973967384496383380672908900406236829905835562073913870740545530539033972923927641686631365091848275299183112658951082360487278707993971356548608859513715082064717659959585246993877603468622502898290738359096035452240244137588011444671801721447584516193243317326072902394157897342188719392143344297119676293328242782816389503372731607875993326964698690377916754605214885031525815914480177118950052244302615770444562871287814275440355623929422664555293447566641720785503771710972729817456132428270043532783645119681327791676398157553538263685662006682544688050956237350844500678398226129405403127272404725733690331417460203836792637407641544467597074607676335644758349018813887794393121369500246266340134128054113572760185001026272895766634286971074506151387601413619442496026818870958664157346437347089600945474067050916552386029218134100071964411649310139132494423971470923395378800105657559477170172059649628697987399311175358467200553651499736150780136651808570597693750026471691470731651000493179410739184100648619497614204617386089766438663417707857153984549418443409414416672655487271504995824000084367588962608304618606941293991467180588969303571133493095716525251798232770493461242411964895249958573091954413244929450502086139853014882718068757797976671640089745941061675856301875664223926509717875821340674611322796310163268609029557770694039574235490536790715355028760739777496650017469372393086045281029903165136230750409192916307003079704102952764158773332759865262842365181386345510189978759749325918847626378090771429395564386933662394553254678515363207994975896276490130121019354545751098373728958759236905158186184048426961363028951594307840295993929825716455256024555888772427590213659056340305568877875375907056422850516997267524568142022752286660801163668425323479624800499026118789199576069236471726467386046996326060056284870791314723261445788015956261708187983910067449056440610401092121957282833557605392654642607120432074285269651684597862076964963369203169527946295994332279153348668634915210708153953336721080852211802336635744369053504694982343979438089603}
19684  87191892537781404278821384102163987774704279911698104581810097804536310: {59043,452203,1494236,1977883,2094739,2211523,2561443,2673896,2862914,3008133,3097274,4416739,4877683,4992739,5107723,5367453,5432954,5452243,5568956,5681563,5898362,6025003,6389825,6506204,7059362,7392283,7522754,7569485,7598204,7667790,7754234,8065724,8178976,8216762,8532956,9083382,9201348,9370562,9648043,9932924,9983923,10709564,10765123,10813550,10864796,11640476,12316939,12427243,12976260,12977683,13487446,13494434,13498844,13841344,13962716,14404514,14618203,14889596,15352604,15571512,15765314,15818216,16431836,16565443,16669634,16672939,16752776,17102203,17355644,17517951,17637163,17795493,17796794,17850643,18124604,18170323,18383083,18585596,18846873,18913723,19144634,19267780,19506716,19707045,19966844,20284963,20389939,20426684,20710562,21020848,21416936,21465285,21498524,21539923,21852043,22577803,22721564,22896304,22935362,23121336,23222445,23378594,23608483,23648454,23790044,24042362,24094053,24770608,25141003,25586114,25758342,26011503,26052739,26153683,26456083,26834204,26903714,27159163,27525400,27866934,28157443,29049739,29088194,29228073,29260316,29542939,30523939,30966075,31041914,32432156,32944939,33030480,33185276,33423739,33805483,34087964,34538876,34795325,35232512,35415043,35439836,35790739,35889884,36724939,36864375,37045562,37096603,37159290,38105762,38285276,38571739,38663323,39009416,39322000,39472917,39484339,39636576,39878349,39929576,39937939,40076444,40479883,40749883,40839739,41377363,41416796,41754390,41892674,42332073,42621739,43342233,43885593,44237250,44287963,44391362,44538016,44591148,44920773,45120309,45240739,45274364,45326923,45426362,45718076,45865916,46045634,46309244,46440763,46611043,47186400,47209173,47289283,47474225,47895674,48130603,48631939,48963164,50105268,50202403,50332160,50366203,50395325,50547362,51907939,52167074,52629163,52788643,52973474,53084700,53174714,53217116,53423683,53502739,53576762,53762793,53978234,54264093,54367603,55484168,55552604,56147803,56176034,56224339,56403285,56529763,56623680,56969070,57363739,57589436,57664843,57814963,58114339,58138845,58170236,58189003,58553762,58611301,58857739,59238789,59886403,60027368,60127394,60163504,60322939,60395443,60398592,60474390,60767008,60910754,60984933,61001045,61211036,61331443,61688203,61759339,61830403,61886714,61932956,62014768,62113939,62419689,62747683,62859074,62887723,63053114,63631205,63701640,64003325,64272283,64356649,64407362,64506016,64545739,64556168,65156803,65224339,65370362,65493763,65828923,65924889,65960924,65962483,66391004,66677564,66800445,66962949,67216939,67477723,67530789,67683942,67802083,67866739,67948416,68108444,68362884,68411049,68573203,68617634,68827939,69183485,69207883,69766614,70098469,70248764,70696634,70763083,70847133,71253808,71311939,71372563,71614339,71664345,71772296,72154123,72381884,72569268,72625689,72747043,72805939,72864763,73099339,73201254,73317434,73357269,73911283,74037093,74246594,74769117,74802362,74821939,75172154,75356156,75658939,75879403,75989203,76062236,76207939,76357446,76441968,76526285,76803990,76964443,77355845,77496163,77811739,78072739,78109754,78146313,78280243,78474362,79159484,79300483,79383362,79745954,79846376,79849339,80160534,80389483,80535283,80576349,80583739,80743833,80842364,80872963,81190562,81262364,81349243,81441725,81537739,81542204,81904713,81924256,82003939,82447034,82483773,82625954,83020182,83093443,83145309,83578939,83730430,83753323,84055723,84226939,84341825,84439339,84691843,85115714,85203176,85684713,85835923,85997214,86113123,86141084,86230843,86240553,86999083,87144350,87372403,87556363,87804764,87990523,88182249,88338545,88622323,88861723,89030563,89213253,89588697,89595485,89815939,89827173,89847763,89942803,90130939,90291644,90316483,90438739,90705116,90872762,91061683,91176739,91255964,91290643,91318939,91388354,91426568,91487203,91570363,91734739,91761883,91831542,91938070,92029363,92160403,92164788,92244794,92289643,92517739,92703849,92764339,92827014,92908843,93003739,93027283,93031325,93097483,93120739,93784939,94139516,94288939,94403203,94413404,94459363,94623674,94677523,94851403,95098723,95124813,95314939,95388739,95517043,95644316,95665939,95842843,95853573,95854939,95924225,95970362,96071083,96479323,96486739,96522739,96563563,96593613,96613963,96643123,96680923,96696043,96700939,96719803,96728803,96741763,96761923,96769483,96780283,96786573,96817003,96837739,96855163,96864883,97417724,97621736,97730070,98309045,98350413,98504456,98801474,98833550,...,32922359452444841430386695185350779677369113277246777358412824000282237677281153131214543017674159543676266501712136511505119515532435597174560879461039898250557510227700757810191848863876436971616324005206611966571248763455029955238170750478084598220364310265141042798594267991653324499743000050733677921113061298818836258025480091008235978271165880866611663648524719124033355297653255020803081164488069936316607695216658972182053082761498274423493261860155483054873896930741596431106535543305273351105233120133576575838596019091478583737567288022106172734338922698310056329981258645758025536784328489206644183076396518784808171798589078652223492124225220909551013140010553237841286501166625917763054243980399815121609649950269114958441814465596094516023846185331691776572939350382407591330421522802697445856559603505806308414170573379123550252065918406407396180941195593569441409417795779866105185966667441601935933456708549917118444663540603912439719126535293148566129769559191115001127533995830383532583466058242187450458551962793564142519325766631956512661844507563878533874982439874447416098551827654060707385378630565236855582175153455797700398910816878601443147316371610658628475398145146018286776086290213279446995991836804624830003864387651145461380602986992183450681926229068961930112688257657756434763869858877196456251625856191125729492901724437657043755186004496975477167991102619598253837222339473619846708701087885973569491933402992403487693926083828383752367253807498572563552740391263422188961047338362281296973089941509904360058043711526826241770388901864210071384351580882675576726250734608316467792667571197634839207204169696539634311587108556613605115723516543522059290129432810235114193011132025085183725857495159333661688453512170738818097013580001368363861022179049294766008201850135218159256661369091827944885543128583129452801260632089401222069848038957512133429285882199080185509992565295294564527171733474210079302893562746199504930649865748233811289600738201999648201040182202411427463591666701962255294308868000657572547652245467531492663485606156514786355251551223610476205312732557924545885888896873983028673327765333445823451950144406158142588391988622907451959071428177990794288700335730977027324614989882619860333278097455939217659905934002781519804019843624091677063968895520119661254748901141735834218965235346290501095120899481763728413551024812039410360925386098980654049054287140038347653036662200023292496524114727041373204220181641000545590555076004106272137270352211697777013153683789820241848460680253305012999101225130168504121028572527419182578216526071006238020484277326634528368653506828025806061001464498305278345649206877581578731235948484038602125743787061325239767621940341366074518363236786951545408453740758503833834542741897134022663023366090856030336382214401551557900431306166400665368158385599434758981962301956514729328434746741713161055086297681927717354608348944250645213423265408587480534789495943043778076807190206190142827242765713692868912797149435953284492270892703928394659109705537798224846553614277538604448961441136282403115514325825404672926643125305917452804}
19685  87532668824787602470316058948898020705127419379365314253691465555742721: {78724,1867795,2241354,2339659,2811523,3342370,4010844,4294371,4645911,4757962,6961195,7156604,8132755,8149431,8353434,8847543,9497755,9759306,10082155,10223720,10589043,10666195,11284131,11397306,11501685,11631351,12098586,12111176,12268464,12325143,12416155,12799434,13386955,13580995,13625073,13802022,13840939,14055843,14550595,14658679,14899386,15309943,16064346,16220325,16297194,16873555,17301680,17453395,17460714,18393242,18611995,18739819,19190755,19464390,19667827,19772770,20034266,20231169,20241651,20248266,20539795,20762016,20888659,20940970,20944074,21606771,21674282,21694555,22173943,22334394,22655755,22657531,23028906,23231995,23357268,23647971,23653579,23727324,23903371,24084725,24383395,24647754,24958555,25004451,25129164,25533355,25696723,26033466,26276060,26601271,26695191,26727067,26771170,26873155,27186906,27878394,28161463,28401955,28620380,28716951,28732171,28901670,29260074,29737555,29950266,30129811,30640026,30828448,30882391,30963260,31065843,31099874,31531272,32125404,32247786,32272579,32952643,33104707,33278323,33530467,33542755,34082346,34133239,34148426,34344456,34403043,34406750,34682004,34938379,35067891,35472681,35582311,35685066,35834359,36063543,36242827,36575395,37110403,37155912,37195106,37763419,38343514,38379171,38637513,38970764,39763447,40251306,40355571,40540195,40933783,41288100,41457211,41481595,41800401,41980291,42189019,42206659,42609955,43102183,43173595,43486762,43632291,43890474,44040640,44299795,44850907,44862355,45173623,45439754,45487699,46335271,46562871,47856595,48548647,48559159,48623674,48648234,48761770,48977083,49019371,49152500,49545720,49682071,49777914,49827283,49893962,49911970,50095555,50356183,51131946,51428779,51516883,51770995,51808314,52277594,52523947,52630556,52643066,52848768,53159754,53171132,53626903,53689442,53778019,53834826,54262922,54891859,55019467,55263226,55363339,55568343,55672520,55738935,56127259,56317162,56442764,56486647,56592955,57147595,57158643,57332395,57427914,57789644,57840343,57886555,58404811,58514124,58576003,58846903,58983000,59240002,59305027,59454864,59750263,59894364,60114666,60160412,60364183,60378331,61203955,61220443,61629079,62125194,62347082,62376746,62464963,62631585,62800759,62839011,62915200,62945564,63241819,63273043,63370723,64042411,64407787,64530986,65208379,65863627,66355875,66521395,66587043,66807024,66886722,67852291,67911546,68139543,68452123,68577114,68798874,69068451,69355210,69440755,69463866,69792259,69806071,69865579,70585034,70779600,70835323,71155642,71683724,71843511,71986795,72352124,72469706,72622567,72712795,72872467,73444746,73814611,74552779,74744986,74829331,75022819,75034210,75122626,75157902,75204380,75498240,75673771,75821043,75958760,76513795,77316727,77362819,77416195,77518460,77546731,78250611,78940027,78985052,79192003,79460211,79592419,79627050,79762071,79825674,79998247,80123674,80211511,80365143,80531456,80632520,80642794,80695210,80927563,80967351,81313244,81868411,82451155,82521643,82670666,82852339,82988755,83226252,83328906,83346955,84214771,84264051,84289747,84684043,84866563,84935520,85013203,85135555,85419019,85453605,85536103,86029891,86191399,86384154,86422891,87255354,87810955,87830643,87899852,88218007,88654891,89067260,89082151,89087419,89283932,89715370,90041052,90045739,90191091,90245256,90477355,90487123,90597888,90711585,90871114,91150512,91214732,91312219,91366131,91715234,91816554,92184331,92611699,92830071,92899434,93022152,93712663,94195195,94214794,94288611,94385227,94462844,94579671,94742554,95077795,95420647,95552460,95702071,96039931,96239866,96611043,96759024,96834252,96956791,97429123,97562506,97601672,97735586,97746211,97809692,97841623,98055543,98221399,98516263,98666359,98716124,98936083,98941386,98949355,99209642,99586506,99692156,99807970,...,49383539178667262145580042778026169516053669915870166037619236000423356515921729696821814526511239315514399752568204767257679273298653395761841319191559847375836265341551136715287773295814655457424486007809917949856873145182544932857256125717126897330546465397711564197891401987479986749614500076100516881669591948228254387038220136512353967406748821299917495472787078686050032946479882531204621746732104904474911542824988458273079624142247411635239892790233224582310845396112394646659803314957910026657849680200364863757894028637217875606350932033159259101508384047465084494971887968637038305176492733809966274614594778177212257697883617978335238186337831364326519710015829856761929751749938876644581365970599722682414474925403672437662721698394141774035769277997537664859409025573611386995632284204046168784839405258709462621255860068685325378098877609611094271411793390354162114126693669799157778950001162402903900185062824875677666995310905868659578689802939722849194654338786672501691300993745575298875199087363281175687827944190346213778988649947934768992766761345817800812473659811671124147827741481091061078067945847855283373262730183696550598366225317902164720974557415987942713097217719027430164129435319919170493987755206937245005796581476718192070904480488275176022889343603442895169032386486634652145804788315794684377438784286688594239352586656485565632779006745463215751986653929397380755833509210429770063051631828960354237900104488605231540889125742575628550880711247858845329110586895133283441571007543421945459634912264856540087065567290239362655583352796315107076527371324013365089376101912474701689001356796452258810806254544809451467380662834920407673585274815283088935194149215352671289516698037627775588786242739000492532680268256108227145520370002052545791533268573942149012302775202827238884992053637741917328314692874694179201890948134101833104772058436268200143928823298620278264988847942941846790757600211315118954340344119299257395974798622350716934401107302999472301560273303617141195387500052943382941463302000986358821478368201297238995228409234772179532877326835415714307969098836886818828833345310974543009991648000168735177925216609237213882587982934361177938607142266986191433050503596465540986922484823929790499917146183908826489858901004172279706029765436137515595953343280179491882123351712603751328447853019435751642681349222645592620326537218059115541388079148470981073581430710057521479554993300034938744786172090562059806330272461500818385832614006159408205905528317546665519730525684730362772691020379957519498651837695252756181542858791128773867324789106509357030726415989951792552980260242038709091502196747457917518473810316372368096853922726057903188615680591987859651432910512049111777544855180427318112680611137755750751814112845701033994535049136284045504573321602327336850646959249600998052237578399152138472943452934772093992652120112569741582629446522891576031912523416375967820134898112881220802184243914565667115210785309285214240864148570539303369195724153929926738406339055892591988664558306697337269830421416307906673442161704423604673271488738107009389964687958876179206}
19686  87874767549645590755328343803041853054540593323845683102318066143892101: {98405,118086,904406,1627049,1744133,2017049,2133893,2483993,2988472,3362031,3491753,3839333,3955766,4189478,4340249,4423046,4455653,4647833,4993253,5013555,5108249,5122886,5223173,5347792,5491049,5725828,5949353,6016266,6063749,6194548,6824549,7090073,7136943,7657733,8072873,8637413,8833478,8945755,8975273,9200153,9649049,9755366,9985478,10022249,10215446,10469033,10597279,10734906,10865908,10904486,11137912,11363126,11433113,11580953,11691749,11765573,11796724,12050006,12530151,12779650,12795749,12869093,13012408,13783193,14001833,14118724,14547173,14619749,14638959,14784566,14873513,15045508,15138970,15196408,15335580,15508468,15596393,16131448,16357952,16433524,16603049,17065912,17095959,17425253,17567813,18101273,18147879,18166764,18402696,18741124,19199151,19296086,19550213,19865848,19901573,19967846,20322149,20497049,20703033,21419128,21530246,21542249,21627100,21729592,22062149,22349079,22683653,23199593,23280952,23713733,24021353,24096519,24226073,24445791,24633878,24854486,25143749,25583513,25952520,25955366,26089253,26156549,26191071,26492549,26974892,26988868,26997688,27061913,27589863,27682688,27925432,27994649,28160549,28259993,28392473,28809028,28888133,29085893,29196585,29236406,29381993,29546213,29659155,29779192,30051399,30372399,30527333,30559913,30705208,30722693,31143024,31339433,31411455,31416111,31530628,31636432,31824293,31921049,32511423,32564249,32845075,32863672,32948633,33130886,33339268,33345878,33459353,33501591,33505552,34204406,34543359,34569413,34711288,34947749,35035902,35042153,35274326,35419049,35590986,35593588,35638373,35701286,35775475,35794793,35826053,36249208,36340646,36356249,36729113,36760133,36766166,36971631,37131749,37171192,37693746,37827446,38289268,38515049,38535560,38704075,39013432,39033413,39050199,39124649,39414090,39488873,39519173,39882149,39933688,39942533,40123493,40156755,40569926,40779878,40780359,40853368,41382149,41421124,41817591,42041696,42183833,42626693,42833872,42930570,42997048,43009049,43079846,43352505,43682213,43704086,43890111,44118953,44322149,44553893,44900549,44925399,45155606,45246053,45274793,45443128,45762149,45792608,45847913,45870724,45960039,45962153,46242672,46444890,46559813,46649811,46757188,47216966,47238533,47296908,47323049,47580088,47884649,48080453,48084724,48188106,48371679,48713455,49053593,49219433,49467653,49541216,50282006,50563013,50970473,51123519,51132953,51172228,51187049,51222639,51516684,51610125,51672473,52023006,52105478,52307366,52315673,52874693,52912166,53456549,53527599,53535593,53668408,53807428,54318326,54374249,54686633,55050800,55539749,55733868,55792659,55796549,56103653,56180249,56256773,56314886,56638313,57245033,57395993,57515271,57697049,58071749,58099478,58121573,58176388,58196249,58456146,58520632,59085878,59479193,59966873,60112553,60330533,60376959,61047878,61124249,61291493,61434533,61440625,61790873,61932150,62083828,62121833,62779049,62825753,62965673,63406853,63660953,64211993,64576793,64864312,65230143,65255273,65524649,65703593,65788195,65835711,65859749,65889878,66060960,66370552,66458393,66463915,66568613,66788453,66847478,66963749,67225733,67356293,67508249,67610966,68159631,68175928,68262149,68475749,68837033,68858213,69077752,69427049,69590650,70155749,70465024,70465049,70553455,70731653,70830086,70879672,71341733,71442713,71581478,71623973,71779768,72237055,72342533,72481049,72638873,72776549,72935511,72972351,73128773,73142655,73167749,73303913,73449878,73459049,73728750,73997993,74091124,74193206,74318580,74666871,74840943,74867955,74888549,75019673,75200515,75299333,75669413,76054553,76211524,76218533,76570552,76697919,77082149,77143478,77326646,77471813,77524649,77712471,77840153,78018832,78256793,78416391,78644000,78681955,78945834,78964599,78968678,79273152,79328549,79362053,79628933,79739631,79756698,79859152,79875878,80152888,80368553,80401049,80534163,80595353,80643749,80752239,80756393,80959766,80996453,81171353,81313733,81394383,81499766,81518249,81549593,81679478,82169753,82399013,82520549,82626473,82671749,82754726,82792133,82833592,82894839,83120549,83342249,83415749,83508780,83605913,83736773,83785348,83823653,84111173,84239513,84475743,84664146,84746393,84843749,84954533,85215593,85243478,85401463,85500773,86141871,86217893,86606213,86684466,86708549,86873753,87025049,87125273,87212549,87398249,87496553,87582149,87771186,87824549,87968453,88004249,88474500,88497833,88575926,88705049,88782724,88784933,88860003,88954793,89022233,89076032,89083687,89182296,89377049,89409893,89604655,89680793,89841546,89936153,89967749,90051653,90171999,90176549,90240618,90440155,90453353,90463493,90481478,90548728,90653846,90852724,90999173,91076549,91201193,91343333,91436152,91502249,91530053,91567013,91731749,91731832,91749893,91804133,92044649,92071013,92091268,92287913,92364773,92407193,92516549,92541593,92618488,92665733,92804249,92881526,92924549,93003749,93027353,93136553,93187791,93222086,93520623,93521093,93565119,93680549,93737573,93808133,93822149,94005475,94075673,94247273,94324649,94372800,94388249,94418346,94463513,94482149,94555973,94578566,94711973,94764713,94885253,94924649,94935833,94948450,95115749,95152793,95179013,95271749,95337113,95405993,95410853,95562149,95575913,95594153,95607749,95661413,95683433,95761049,95791348,95803049,95836073,95876633,95896613,95970713,96056549,96110249,96172313,96222053,96261206,96269993,96371993,96414053,96435749,96454313,96469913,96482693,96505193,96541253,96634649,96640613,96685733,96699749,96704873,96716549,96721433,96740249,96796479,96797033,96819113,96834473,96847013,96856879,96857093,96857753,96869273,96883049,96884453,96898075,97263878,97926328,98731315,...,74075308768000893218370064167039254274080504873805249056428854000635034773882594545232721789766858973271599628852307150886518909947980093642761978787339771063754398012326705072931659943721983186136729011714876924785309717773817399285884188575690345995819698096567346296837102981219980124421750114150775322504387922342381580557330204768530951110123231949876243209180618029075049419719823796806932620098157356712367314237482687409619436213371117452859839185349836873466268094168591969989704972436865039986774520300547295636841042955826813409526398049738888652262576071197626742457831952955557457764739100714949411921892167265818386546825426967502857279506747046489779565023744785142894627624908314966872048955899584023621712388105508656494082547591212661053653916996306497289113538360417080493448426306069253177259107888064193931883790103027988067148316414416641407117690085531243171190040504698736668425001743604355850277594237313516500492966358802989368034704409584273791981508180008752536951490618362948312798631044921763531741916285519320668482974921902153489150142018726701218710489717506686221741612221636591617101918771782925059894095275544825897549337976853247081461836123981914069645826578541145246194152979878755740981632810405867508694872215077288106356720732412764034334015405164342753548579729951978218707182473692026566158176430032891359028879984728348449168510118194823627979980894096071133750263815644655094577447743440531356850156732907847311333688613863442826321066871788267993665880342699925162356511315132918189452368397284810130598350935359043983375029194472660614791056986020047634064152868712052533502035194678388216209381817214177201070994252380611510377912222924633402791223823029006934275047056441663383179364108500738799020402384162340718280555003078818687299902860913223518454162804240858327488080456612875992472039312041268802836422201152749657158087654402300215893234947930417397483271914412770186136400316972678431510516178948886093962197933526075401601660954499208452340409955425711793081250079415074412194953001479538232217552301945858492842613852158269299315990253123571461953648255330228243250017966461814514987472000253102766887824913855820823881974401541766907910713400479287149575755394698311480383727235894685749875719275863239734788351506258419559044648154206273393930014920269237823185027568905626992671779529153627464022023833968388930489805827088673312082118722706471610372146065086282219332489950052408117179258135843089709495408692251227578748921009239112308858292476319998279595788527095544159036530569936279247977756542879134272314288186693160800987183659764035546089623984927688829470390363058063637253295121186876277710715474558552145280884089086854782923520887981789477149365768073667666317282770640977169020916706633626127721169268551550991802573704426068256859982403491005275970438874401497078356367598728207709415179402158140988978180168854612373944169784337364047868785124563951730202347169321831203276365871848500672816177963927821361296222855808955053793586230894890107609508583838887982996837460046005904745632124461860010163242556635407009907233107160514084947031938314268809}
19687  88218193807902032175448846156525413525698855220826181383040732207595371: {19687,157448,177129,1356609,2614913,3322709,3735590,4482708,4679318,5623046,5933649,6284217,6634569,6684740,7157285,7684329,7743185,8021688,8588742,9024399,9291822,9515924,9745673,11385857,13250217,13296857,13582385,13922390,14115017,14313208,14451833,14633049,14745905,14932673,14978217,15323169,15741209,16102359,16265510,16298862,16356729,16706868,17029793,17044689,17382617,17648405,17695086,18075009,18093569,18741737,18806885,18995510,19013393,19169475,19385585,19518612,20164310,20334533,20370833,20447440,20541905,21178086,21332390,21981689,22176849,22327817,22568262,22708455,22794612,23003370,23262702,23426405,23622977,24197172,24222352,24319877,24434753,24536928,24650286,24686597,24832310,25598868,26056793,26205569,26436353,26773910,26867057,27033875,27161990,27250146,27503009,27604044,27681878,28111686,28570313,28755713,28944129,29101190,29317358,29746853,29798772,29951769,30198977,30372377,30619886,31718057,32128692,32207729,32295369,32440650,32524793,32594388,33281729,33718615,33736085,33747110,34089617,34136753,34560089,34603360,34667093,34906790,34921428,34941977,35746697,35842913,36011285,36069353,36786484,36950817,37223990,37281729,37479638,37622417,38381510,38429717,38928780,38933049,39335654,39413285,39545540,39605537,39762737,40068532,40462338,40483302,40496532,40506689,41079590,41362409,41524032,41632577,41674085,41777318,41881940,41888148,42193337,42349697,42635153,43213542,43348564,43389110,43854609,43857749,44316329,44347886,44491985,44668788,45311510,45315062,46057812,46151753,46463990,46714536,46959857,47152433,47295942,47307158,47454648,47806742,47861585,47944073,48169450,48376289,48546257,48766790,48986993,49295508,49696329,49880597,49917110,50008902,50018817,50258328,50839193,51066710,51205553,51306609,51366209,51393446,51776405,52066932,52552120,52553853,52877477,52911489,53202542,53386479,53387009,53390382,53454134,53542340,53551929,53746310,54053897,54373812,54510969,55149249,55756788,56322926,56401337,56540619,56741169,56756273,56803910,57206033,57240760,57338405,57388097,57433902,57464342,57803340,58074233,58446485,58520148,58813913,58886789,59121135,59475110,59653937,59900532,59967653,60105905,60259622,60443033,60854889,60883589,61169817,61280052,61433369,61656896,61764782,61876673,61926520,62019713,62131686,62199748,62432729,62807297,63062544,63377249,63904037,63965285,64250808,64395855,64495572,64545158,64619769,64872197,65556129,65870393,65905286,66209414,66282089,66556646,66999233,67060934,67085510,67259285,67733409,68164692,68266478,68296852,68356769,68459129,68688912,68806086,68813500,69364008,69667335,69876758,70133777,70135782,70175717,70439777,70682033,70825449,70945362,71164622,71339489,71370132,71668718,71932673,72127086,72282159,72479393,72485654,72720485,72879953,73109249,73150790,73612289,73723577,73822229,74220806,74311824,74390212,75423009,75526838,75683813,76687028,76758342,77275026,77370737,77604785,77941528,77950433,78003113,78034509,78158217,78461049,78808853,79230137,79368249,79526894,79600613,79937633,80006633,80265353,80502612,80711142,81041177,81080390,81107729,81477489,81867566,82530089,82576200,82914422,82963190,83600802,83849033,83960582,84378038,84413318,84472329,84875249,85219910,85421153,85685537,86204366,86347190,86431769,86547089,86682233,86973524,87069509,87149217,87264582,87684219,87773417,87780948,88081280,88227089,88599590,88628817,88788053,88956233,89096537,89701814,89724710,90102833,90347246,90879508,90975398,91571817,92599673,92613905,92670542,92895473,92898225,93125742,93129953,93270857,93590549,94901129,95264405,95713190,96613913,97097294,97118318,97217057,97247348,97296468,97523540,97851809,97954166,98038742,98305000,98834817,98946209,99091440,99364142,99555828,99654566,99712889,99787924,99823940,...,98767078357334524291160085556052339032107339831740332075238472000846713031843459393643629053022478631028799505136409534515358546597306791523682638383119694751672530683102273430575546591629310914848972015619835899713746290365089865714512251434253794661092930795423128395782803974959973499229000152201033763339183896456508774076440273024707934813497642599834990945574157372100065892959765062409243493464209808949823085649976916546159248284494823270479785580466449164621690792224789293319606629915820053315699360400729727515788057274435751212701864066318518203016768094930168989943775937274076610352985467619932549229189556354424515395767235956670476372675662728653039420031659713523859503499877753289162731941199445364828949850807344875325443396788283548071538555995075329718818051147222773991264568408092337569678810517418925242511720137370650756197755219222188542823586780708324228253387339598315557900002324805807800370125649751355333990621811737319157379605879445698389308677573345003382601987491150597750398174726562351375655888380692427557977299895869537985533522691635601624947319623342248295655482962182122156135891695710566746525460367393101196732450635804329441949114831975885426194435438054860328258870639838340987975510413874490011593162953436384141808960976550352045778687206885790338064772973269304291609576631589368754877568573377188478705173312971131265558013490926431503973307858794761511667018420859540126103263657920708475800208977210463081778251485151257101761422495717690658221173790266566883142015086843890919269824529713080174131134580478725311166705592630214153054742648026730178752203824949403378002713592904517621612509089618902934761325669840815347170549630566177870388298430705342579033396075255551177572485478000985065360536512216454291040740004105091583066537147884298024605550405654477769984107275483834656629385749388358403781896268203666209544116872536400287857646597240556529977695885883693581515200422630237908680688238598514791949597244701433868802214605998944603120546607234282390775000105886765882926604001972717642956736402594477990456818469544359065754653670831428615938197673773637657666690621949086019983296000337470355850433218474427765175965868722355877214284533972382866101007192931081973844969647859580999834292367817652979717802008344559412059530872275031191906686560358983764246703425207502656895706038871503285362698445291185240653074436118231082776158296941962147162861420115042959109986600069877489572344181124119612660544923001636771665228012318816411811056635093331039461051369460725545382040759915038997303675390505512363085717582257547734649578213018714061452831979903585105960520484077418183004393494915835036947620632744736193707845452115806377231361183975719302865821024098223555089710360854636225361222275511501503628225691402067989070098272568091009146643204654673701293918499201996104475156798304276945886905869544187985304240225139483165258893045783152063825046832751935640269796225762441604368487829131334230421570618570428481728297141078606738391448307859853476812678111785183977329116613394674539660842832615813346884323408847209346542977476214018779929375917752358412}
19688  88562952714598129891047671356960327810422328146334102775200849990854808: {137767,196810,236172,1549111,1808812,3066367,3254098,3488266,3530767,3878311,4034098,4109647,4267786,4686727,4967986,5262007,5603385,5949967,5976944,6724062,6983506,7018977,7318111,7678666,7911532,8111407,8355925,8378956,8434569,8450311,8680498,8788567,8846092,8911306,9295666,9986506,10027110,10216498,10245772,10446346,10470127,10695584,10982098,11451656,11471287,11582167,11803711,11894905,11898706,12032532,12127498,12389096,12524057,12883113,13456111,13649098,13937733,14180146,14273886,14548711,15315466,15634111,16145746,17274826,17666956,17891510,17950546,18400306,18634927,18847111,19298098,19510732,19587487,19970956,20044498,20430892,20883585,20938066,21194558,21469812,21683407,21731816,21808972,22275824,22720567,22726252,22823887,22866226,23030311,23161906,23383498,23531146,23593448,23750527,24100012,24262807,24398265,24448293,25060302,25281967,25559300,25586311,25591498,25738186,26024816,26542629,26596111,26797207,27098311,27566386,28003666,28237448,28395607,28493265,29094346,29239498,29277918,29385247,29569132,29747026,30091016,30246465,30277940,30392816,30563311,30671160,31016936,31192786,31537111,31767129,31827847,31998585,32262896,32715904,32867048,33176047,33206098,33852393,34131824,34191918,34505055,34604887,34850506,34894053,35135626,35830111,36202546,36295758,36333528,36764311,36805392,36975429,37248465,37482248,37506487,38152111,38398302,38592172,38794207,39068311,39100426,39523711,39731696,39796087,39803146,39935692,40158247,40160865,40644298,40699327,40742985,40875219,40994098,41058607,41327311,41406066,41522817,42167529,42838256,43060492,43084498,43254200,43278007,43459184,43651785,43716487,43976037,44124298,44698158,45107527,45280111,45367306,45538447,45929829,45967567,45983105,46399186,46561904,46820407,47427466,48042706,48086167,48193038,48452146,48660975,48891582,49267756,49431925,49708972,50085665,50287498,50569087,50620665,51167026,51705607,51905040,51910732,52178506,52313098,52348711,52352425,52360185,52382142,52985098,53700007,53949784,53977736,53995376,54123826,54171967,54185705,54328711,55179726,55365376,55835985,55850864,55989298,56110567,56219457,56321098,56519986,56645311,56784946,57252127,57572265,57618056,57776266,58171786,58302967,58393170,58472812,58763986,59003481,59092426,59118727,59318310,59558384,59998711,60102798,60693507,60724953,60744798,61054666,61119826,61410416,61445386,61619385,62286048,62665977,62678866,62822910,62832222,62997007,63061256,63066847,63272864,63648586,63842098,64243111,64789447,64820313,65022846,65083665,65128498,65690150,65727344,65734447,65897266,66135127,66261772,66467047,66521829,66599311,66678536,66691756,66797167,66918706,66927925,67003182,67011104,67776727,67967265,67972593,68198837,68408812,68867311,69057607,69086718,69138826,69373327,69422576,69695985,69895498,69999367,70071804,70084306,70548652,70838098,70943913,70960737,71047111,71181972,71187176,71276746,71402572,71472487,71550950,71589586,71652106,71710113,72074047,72254175,72498416,72550111,72681292,72712498,72962887,73021567,73150185,73458226,73520266,73532332,73943262,74008111,74263498,74342384,74875665,75013353,75387492,75421111,75587647,75654892,76083367,76578536,76600065,76681327,77030098,77071120,77090169,77217367,77408150,77482687,77749685,78026864,78066826,78100398,78249298,78731167,78828180,78977746,79038346,79390111,79640311,79764298,79803813,79867376,79885066,80085573,80181201,80246986,80313510,80619465,81008167,81139852,81198967,81559756,81560718,81706736,82181767,82764298,82819327,82842248,83043607,83266087,83635182,83705647,83965927,84083392,84138007,84180847,84367666,84484389,84773047,84898111,85022527,85187407,85205865,85253386,85371065,85513711,85667744,85861140,85915111,85994096,86016875,86018098,86150853,86159692,86196513,86705010,86887111,87076111,87364426,87408172,87522367,87780222,88237906,88278367,88523311,88627207,88644298,88764727,89107786,89203711,89212665,89791447,89801098,89850798,90107887,90311212,90389433,90417127,90478111,90492106,90549586,90886256,90984847,91301647,91524298,91585216,91695826,91741448,91828327,91920078,91924306,92042311,92103473,92225767,92380207,92485344,92647173,92889780,92987765,92995807,93049481,93119626,93197529,93299622,93514376,93544447,93866287,94071847,94171927,94270207,94433932,94477066,94593816,94646098,94752247,94787311,94907767,95160176,95169847,95201311,95428111,95457127,95665567,95769298,95770111,95857807,95858785,96160906,96169448,96193687,96272311,96337327,96376212,96432367,96472687,96628711,96725407,96743358,96793447,96816127,96817737,96853711,96866311,96877111,96889207,96893311,96900367,96901087,96903607,96904111,97426910,98107186,98438866,98774837,98857929,98935306,99082432,99314121,99834969,...,148150617536001786436740128334078508548161009747610498112857708001270069547765189090465443579533717946543199257704614301773037819895960187285523957574679542127508796024653410145863319887443966372273458023429753849570619435547634798571768377151380691991639396193134692593674205962439960248843500228301550645008775844684763161114660409537061902220246463899752486418361236058150098839439647593613865240196314713424734628474965374819238872426742234905719678370699673746932536188337183939979409944873730079973549040601094591273682085911653626819052796099477777304525152142395253484915663905911114915529478201429898823843784334531636773093650853935005714559013494092979559130047489570285789255249816629933744097911799168047243424776211017312988165095182425322107307833992612994578227076720834160986896852612138506354518215776128387863767580206055976134296632828833282814235380171062486342380081009397473336850003487208711700555188474627033000985932717605978736069408819168547583963016360017505073902981236725896625597262089843527063483832571038641336965949843804306978300284037453402437420979435013372443483224443273183234203837543565850119788190551089651795098675953706494162923672247963828139291653157082290492388305959757511481963265620811735017389744430154576212713441464825528068668030810328685507097159459903956437414364947384053132316352860065782718057759969456696898337020236389647255959961788192142267500527631289310189154895486881062713700313465815694622667377227726885652642133743576535987331760685399850324713022630265836378904736794569620261196701870718087966750058388945321229582113972040095268128305737424105067004070389356776432418763634428354402141988504761223020755824445849266805582447646058013868550094112883326766358728217001477598040804768324681436561110006157637374599805721826447036908325608481716654976160913225751984944078624082537605672844402305499314316175308804600431786469895860834794966543828825540372272800633945356863021032357897772187924395867052150803203321908998416904680819910851423586162500158830148824389906002959076464435104603891716985685227704316538598631980506247142923907296510660456486500035932923629029974944000506205533775649827711641647763948803083533815821426800958574299151510789396622960767454471789371499751438551726479469576703012516839118089296308412546787860029840538475646370055137811253985343559058307254928044047667936777860979611654177346624164237445412943220744292130172564438664979900104816234358516271686179418990817384502455157497842018478224617716584952639996559191577054191088318073061139872558495955513085758268544628576373386321601974367319528071092179247969855377658940780726116127274506590242373752555421430949117104290561768178173709565847041775963578954298731536147335332634565541281954338041833413267252255442338537103101983605147408852136513719964806982010551940877748802994156712735197456415418830358804316281977956360337709224747888339568674728095737570249127903460404694338643662406552731743697001345632355927855642722592445711617910107587172461789780215219017167677775965993674920092011809491264248923720020326485113270814019814466214321028169894063876628537618}
19689  88909049404343679579607742550923463852176882643025474450363479638702205: {39374,295215,314896,354258,2261015,2713218,3676607,4881147,5229826,5232399,6051147,6401679,6645418,7451979,7471180,8965416,9358636,9889415,10020199,10086093,10473695,10475259,10840459,11057615,11246092,11517999,11867298,12568434,12807215,13020747,13269138,13366959,13369480,13943499,14314570,14979759,15040665,15324747,15368658,15486370,15669519,16043376,16473147,17079439,17177484,17848059,18048798,18191247,18583644,18603247,19015339,19031848,19491346,20126119,20473647,20644267,21270219,21410829,21750047,22083695,22726831,22771714,22973199,23035067,24218619,24388415,24707767,24954619,24963695,25538615,25912239,26329639,26500434,26593714,26837265,26925819,27139819,27164770,27181039,27261215,27600459,27844780,28230034,28407815,28626416,28758667,28903666,28947147,29266098,29448287,29491810,29629079,29865346,29956434,30066747,30125015,30646338,31197919,31407099,31482418,31791837,31949125,32204718,32531020,32597724,32713458,32796967,33413736,33603407,34059586,34089378,34299339,34742859,34765234,35075247,35296719,35296810,35390172,36150018,36187138,36245947,36961415,37057927,37383947,37483474,37572839,37590453,37613770,37847425,37991020,38026786,38338950,38387247,38607279,38771170,39037224,40074119,40328620,40669066,40741666,40894880,41083810,41349579,42005499,42356172,42664780,43517807,43641519,43859247,43916877,43963378,44353698,44620539,44655634,45136524,45416910,45589224,46006740,46525404,46789179,46852810,47121839,47157259,47206061,47230519,47245954,48134699,48240215,48394344,48444704,48639754,48869506,48882847,49073856,49300572,49373194,49664620,49809147,49919615,50386999,50415799,50512751,50818247,51197736,51287877,51581371,52113586,52275759,52411138,52703439,52872706,53547820,53637947,53734114,53825615,54067750,54303659,54303819,54323980,54443637,54500292,54903167,55006018,55008647,55178599,55208088,55363756,56223372,56988647,57140626,57288311,57511426,57597453,57888258,57893719,58202380,58343719,58634716,58650639,59493706,59597544,59704719,59903538,60397954,60413179,60672959,60744754,60966447,61217279,61239772,61491147,61584695,62109099,62136215,62288779,63436114,64257384,64415458,64590738,64626747,64881300,64888415,65049586,65188776,65308427,66186447,66563458,67006219,67022671,67047237,67437230,67472170,67494220,68050959,68126651,68179234,68273506,69120178,69206720,69334186,69598779,69813580,69842856,69883954,71141199,71370791,71422159,71493394,71685826,72022570,72064059,72138706,72289557,72486967,72678219,73091015,73337373,73572968,73619851,73901634,74447980,74563458,74959276,75244834,75431247,76290731,76299659,76750539,76763020,76859434,76893547,77857560,77866098,78267759,78469647,78573213,78671308,78816919,78826570,78956279,79091080,79211074,79477647,79525474,80137064,80273767,80924676,80966604,80993064,81013378,81185739,81790199,81825079,81932651,82159180,82396939,82537631,82724818,82769589,82827215,82869407,83048064,83265154,83348170,83364695,83554636,83763880,83776296,83983947,84148267,84386674,84481647,84587791,84699394,84779979,85177419,85270306,85511015,85726367,86013647,86427084,86555947,86664399,86697128,86778220,87257679,87589755,87709218,87715498,88145979,88185815,88214039,88632658,88638639,88695772,88729919,88764731,88965391,88977465,88983970,89253215,89337576,89551399,90154197,90623020,90630124,90851615,91117197,91312267,91581999,91679739,91915415,92115624,92123239,92168079,92303506,92630807,92761127,92927980,93429072,93919714,94018299,94162999,94234365,94248333,94304866,94568615,94591884,94614316,94909296,94911367,95472879,95613484,95723170,95763147,95888146,96338900,96526799,96752578,97092514,97533580,97534269,97692747,97973986,98535225,98591016,98686907,98845899,99392658,99761194,99834220,...,222225926304002679655110192501117762822241514621415747169286562001905104321647783635698165369300576919814798886556921452659556729843940280928285936362019313191263194036980115218794979831165949558410187035144630774355929153321452197857652565727071037987459094289702038890511308943659940373265250342452325967513163767027144741671990614305592853330369695849628729627541854087225148259159471390420797860294472070137101942712448062228858308640113352358579517556049510620398804282505775909969114917310595119960323560901641886910523128867480440228579194149216665956787728213592880227373495858866672373294217302144848235765676501797455159640476280902508571838520241139469338695071234355428683882874724944900616146867698752070865137164316525969482247642773637983160961750988919491867340615081251241480345278918207759531777323664192581795651370309083964201444949243249924221353070256593729513570121514096210005275005230813067550832782711940549501478899076408968104104113228752821375944524540026257610854471855088844938395893134765290595225748856557962005448924765706460467450426056180103656131469152520058665224836664909774851305756315348775179682285826634477692648013930559741244385508371945742208937479735623435738582458939636267222944898431217602526084616645231864319070162197238292103002046215493028260645739189855934656121547421076079698474529290098674077086639954185045347505530354584470883939942682288213401250791446933965283732343230321594070550470198723541934001065841590328478963200615364803980997641028099775487069533945398754568357105191854430391795052806077131950125087583417981844373170958060142902192458606136157600506105584035164648628145451642531603212982757141834531133736668773900208373671469087020802825141169324990149538092325502216397061207152487022154841665009236456061899708582739670555362488412722574982464241369838627977416117936123806408509266603458248971474262963206900647679704843791252192449815743238310558409200950918035294531548536846658281886593800578226204804982863497625357021229866277135379243750238245223236584859004438614696652656905837575478527841556474807897947970759370714385860944765990684729750053899385443544962416000759308300663474741567462471645923204625300723732140201437861448727266184094934441151181707684057249627157827589719204365054518775258677133944462618820181790044760807713469555082706716880978015338587460882392066071501905166791469417481266019936246356168119414831116438195258846657997469850157224351537774407529269128486226076753682736246763027717336926574877428959994838787365581286632477109591709808837743933269628637402816942864560079482402961550979292106638268871954783066488411171089174190911759885363560628833132146423675656435842652267260564348770562663945368431448097304221002998951848311922931507062750119900878383163507805654652975407721113278204770579947210473015827911316623204491235069102796184623128245538206474422966934540506563837121832509353012092143606355373691855190607041507965493609829097615545502018448533891783464083888668567426865161380758692684670322828525751516663948990512380138017714236896373385580030489727669906221029721699321481542254841095814942806427}
19690  89256489031391401131230240324354270063262408458856952214659151936075754: {59061,275534,393620,472344,531387,570169,2095381,2212201,2562229,2678761,2911609,3098222,3617624,4069827,4418101,4533481,4994281,5109301,5224249,6026869,6132734,6141241,6508196,6976532,7061534,7508089,7734889,7756622,7844739,8068196,8219294,8300629,8535572,9202069,9338975,9373454,9763129,9935972,9968127,10524014,10879849,11206770,11698295,11768041,11899934,11953888,12431161,12541429,12871801,13448124,13967012,14037954,14057615,14077621,14622841,14636222,15357332,15491449,15823064,16222814,16652867,16678261,16711850,16757912,16869138,16900622,17360996,17577134,17642809,17692184,17749621,17800947,17822612,18176149,18282601,18591332,18852651,19025749,19903707,19973012,20054220,20396521,20432996,20491544,20501461,20892692,20940254,21338389,21391168,21471855,21963061,21964196,22688569,22903312,22942574,23052987,23164334,23229555,23513401,23607422,23718889,23789810,23797412,24065064,24231349,24254996,24778192,24945769,25048114,25766226,26162281,26263189,26912222,27073197,27268309,27298196,27875466,28266229,28360292,28464949,28547772,28960489,29097422,29158201,29237019,30630932,30729529,31119481,31268222,31992661,32291492,33816889,33912181,34157571,34549652,34805975,35333912,35783020,35901092,36364501,36644329,36800612,37109269,37269854,37694222,38584981,38596196,38676601,39021464,39174974,39588841,39750651,39890571,39941912,39951721,40088996,40583989,40663775,40747155,40853881,40861784,41481109,41767170,41876132,42345051,42371029,42389116,42939624,43355499,43366814,43429429,43463632,43617944,43899147,44237715,44303509,44551648,44798019,44934651,45256681,45342901,45441134,45452504,45647774,45732452,45969507,46030069,46060622,46323812,46627561,46766996,47062292,47136889,47186896,47223627,47306089,47488775,47501054,47559349,48147769,48200024,48307077,48398869,48525614,48732661,48796530,48896586,49065301,49070187,50056309,50120604,50410775,50563934,50629609,51089379,51118600,51134067,51172622,51182996,51199381,51476372,51926761,52049632,52147851,52807861,52887529,52945215,53085258,53192222,53330975,53522281,53594414,54196622,54225027,54280707,54465769,55011349,55132772,55244089,56007332,56168569,56225211,56245141,56420655,56474896,56791214,56986530,57040179,57508425,57836521,58136041,58156755,58188692,58210741,58478996,58555836,58770494,59138264,59396149,59494052,59981941,60182032,60418261,60492930,60555880,60785632,61003599,61112499,61126622,61342320,61354729,61625715,61782841,61853941,61924969,62033872,62080775,62385572,62841781,62981749,63074222,63330409,63534258,63655694,63997170,64365589,64376347,64525792,65249641,65384569,65431808,65734096,65945067,66054889,66352094,66412196,66530547,66934775,66983451,67177909,67504249,67704786,67893481,67904975,67958101,68125365,68263648,68383836,68536441,69010110,69204695,69209774,69235381,69701012,69788106,69800761,70119931,70174441,70271252,70279215,70668649,70791481,70868931,70975189,71401321,71461909,71660222,72243001,72405092,72591516,72658549,72667056,72752975,72776629,72835561,72894421,72959631,73129141,73187641,73293395,73304259,73528622,73610784,73653049,73941589,73950858,74059791,74399509,74496930,74852821,74909161,74964496,75012974,75077749,75859987,76075669,76294261,76304222,76549715,76796604,77050261,77184344,77528809,77588414,77896981,78136622,78170379,78200852,78313429,78616707,79047422,79233589,79309059,79384681,79463392,79592174,79606292,79684921,79871384,80316494,80321730,80424181,80601171,80618581,80667001,80956009,81051769,81101625,81288596,81398654,81485970,81573301,81667189,81750438,81988196,81993529,82117214,82224469,82509027,82654622,82812132,82996201,83045634,83659861,83790649,84136249,84335058,84367775,84519541,84729961,84771829,85391209,85553641,85676512,85710939,86120984,86152501,86168996,86191849,86267139,86270329,86508400,86556014,86735161,86832387,86918368,86963689,87264361,87266975,87303570,87432974,87523669,87597109,87952074,88067449,88245109,88248596,88525621,88698601,88835689,88937749,89072821,89240559,89273269,89396316,89503849,89666389,89855307,89859061,89890921,89986069,90205561,90215054,90560222,90596931,90734612,91076894,91117131,91192789,91363861,91560169,91615609,91643221,91780201,91807381,91834489,91859658,91935134,91966210,92101609,92335861,92564281,92713321,92798372,92835541,93051001,93059975,93074581,93123808,93144889,93168181,93553129,93640814,93699095,93769849,93854521,93917269,94121749,94280149,94357621,94509109,94527721,94745449,94854932,94918969,94969621,95149801,95154171,95306041,95366521,95526901,95705209,95731561,95846581,95895829,95907961,95953775,96085412,96124789,96172334,96208309,96306229,96386076,96456169,96511861,96542101,96578281,96623187,96705001,96742549,96752629,96757561,96781141,96790069,96802921,96819049,96830389,96837589,96857461,96874741,96877369,96886107,96904292,96914809,96917941,96922261,96923881,96923989,97321950,97574379,97783164,98339135,98535512,98863850,99417944,99845187,...,296301235072003572873480256668157017096322019495220996225715416002540139095530378180930887159067435893086398515409228603546075639791920374571047915149359084255017592049306820291726639774887932744546916046859507699141238871095269597143536754302761383983278792386269385187348411924879920497687000456603101290017551689369526322229320819074123804440492927799504972836722472116300197678879295187227730480392629426849469256949930749638477744853484469811439356741399347493865072376674367879958819889747460159947098081202189182547364171823307253638105592198955554609050304284790506969831327811822229831058956402859797647687568669063273546187301707870011429118026988185959118260094979140571578510499633259867488195823598336094486849552422034625976330190364850644214615667985225989156454153441668321973793705224277012709036431552256775727535160412111952268593265657666565628470760342124972684760162018794946673700006974417423401110376949254066001971865435211957472138817638337095167926032720035010147805962473451793251194524179687054126967665142077282673931899687608613956600568074906804874841958870026744886966448886546366468407675087131700239576381102179303590197351907412988325847344495927656278583306314164580984776611919515022963926531241623470034779488860309152425426882929651056137336061620657371014194318919807912874828729894768106264632705720131565436115519938913393796674040472779294511919923576384284535001055262578620378309790973762125427400626931631389245334754455453771305284267487153071974663521370799700649426045260531672757809473589139240522393403741436175933500116777890642459164227944080190536256611474848210134008140778713552864837527268856708804283977009522446041511648891698533611164895292116027737100188225766653532717456434002955196081609536649362873122220012315274749199611443652894073816651216963433309952321826451503969888157248165075211345688804610998628632350617609200863572939791721669589933087657651080744545601267890713726042064715795544375848791734104301606406643817996833809361639821702847172325000317660297648779812005918152928870209207783433971370455408633077197263961012494285847814593021320912973000071865847258059949888001012411067551299655423283295527897606167067631642853601917148598303021578793245921534908943578742999502877103452958939153406025033678236178592616825093575720059681076951292740110275622507970687118116614509856088095335873555721959223308354693248328474890825886441488584260345128877329959800209632468717032543372358837981634769004910314995684036956449235433169905279993118383154108382176636146122279745116991911026171516537089257152746772643203948734639056142184358495939710755317881561452232254549013180484747505110842861898234208581123536356347419131694083551927157908597463072294670665269131082563908676083666826534504510884677074206203967210294817704273027439929613964021103881755497605988313425470394912830837660717608632563955912720675418449495776679137349456191475140498255806920809388677287324813105463487394002691264711855711285445184891423235820215174344923579560430438034335355551931987349840184023618982528497847440040652970226541628039628932428642056339788127753257075236}
19691  89605276769711550687218294000434101830110352692156443404918134812763289: {78748,413301,492025,590430,629792,708516,3165421,4109149,4345081,4522030,4647333,5426436,7353214,8135245,8720665,9199101,9762294,10085245,10459652,10464798,10592301,10669465,11634933,12102294,12328941,12419965,12803358,13290836,13845181,14060181,14663173,14903958,14942360,15314629,15480661,15786021,16810155,17458765,17849901,17892061,17930101,17930832,18717272,19196665,19778830,20040398,20172186,20895061,20947390,20950518,21056931,21680918,21701245,21954333,22115230,22180741,22278265,22492184,23035998,23239165,23465629,23660821,23734596,24334221,24966265,25067775,25136868,25303707,25350933,25541245,25614430,25704601,26041494,26115865,26365701,26538276,26609413,26733918,26738960,27223261,27315541,27455245,27886998,28629140,29451301,29746765,29878189,29959518,30081330,30139033,30318745,30649494,30737316,30917173,30972740,31339038,31410381,32001901,32011309,32086752,32282473,32946294,32962729,33114853,33540733,34122745,34143781,34158878,34268821,34354968,34413861,34746501,34802521,34949173,35411133,35450365,35684715,35696118,35754061,36097596,36382494,37121821,37167288,37206494,37556749,37572171,37774981,38030678,38063696,38165701,38288665,38397469,38649339,38982692,39770941,40252238,40364365,40368333,40946389,40947294,41288534,41813199,41993173,42175021,42219661,42540438,42584281,42821658,43187065,43289773,43500094,43522261,43646133,43662901,44167390,44728775,44864653,44876365,45187549,45453662,45543428,45946398,46000765,46070134,46902333,47728021,48245245,48437238,48637549,48776830,49034413,49415534,49842661,49909238,49927390,50111245,50371621,51077230,51110389,51444541,51745981,51824478,52345165,52659278,52986395,53000868,53187428,53643469,53674530,53794501,53851638,53996389,54279638,54329540,54362078,54522430,54908821,55200918,55380373,55689560,55904781,56144461,56173381,56460068,56541333,56815630,57079261,57165565,57252832,57352441,57517334,57807332,57894294,57904765,58422733,58458745,58532196,58593961,58762461,58827865,58896574,58983620,59120941,59258158,59730692,59768581,59912868,60102541,60133494,60250030,61239229,61292676,61542181,61647973,61807033,62395838,62484301,62650755,62814198,62964836,63261301,63292441,63390301,63390469,63583674,63898250,63978745,64345465,64409436,64857301,64885561,65050221,65062040,65195448,65228473,65422621,65426916,65593934,66827472,67148101,67206814,67536301,68119172,68161701,68178756,68471661,68598678,68915965,69090933,69485718,69496621,69530468,69813781,69887461,70009165,70150494,70436029,70593438,70593620,70780344,71251581,72300036,72374276,72491894,72735865,72788421,73069561,73098745,73194795,73344879,73794061,73922830,74115854,74198269,74367565,74767894,74852293,74903341,74966948,75045973,75145678,75180906,75227540,75355861,75694850,75845901,75982040,76053572,76677900,76758933,76774494,77005801,77214558,77542340,77762281,77981965,78074448,79617001,79627887,79788333,80148238,80236213,80391621,80465869,80657240,81294933,81338132,81483332,81700921,81789760,81893533,82167620,82699158,82877941,83015245,84010998,84240613,84710029,84712344,84832873,85186821,85329560,85479795,85562461,85735141,86218573,86990701,87035614,87126265,87283038,87328729,87718494,87833754,87839065,87926756,88155741,88223101,88245253,88707396,89109613,89188429,89241078,89311268,89389621,89908141,90161773,90273048,90506365,90739395,90833820,90843781,91136533,91178448,91259509,91689933,92013480,92618749,92770621,93013621,93050808,93290101,93578358,93705620,93741901,94243678,94314518,94412122,94424821,94461038,94491908,94597981,94611333,94981909,95301387,95483541,95995755,96269398,96480430,96536761,96788688,96889408,97279508,97459549,97544473,97739012,97751065,97765694,97776313,98147712,98601144,98697181,98746388,99168733,99329240,99507865,99528141,99618294,99839230,...,444451852608005359310220385002235525644483029242831494338573124003810208643295567271396330738601153839629597773113842905319113459687880561856571872724038626382526388073960230437589959662331899116820374070289261548711858306642904395715305131454142075974918188579404077781022617887319880746530500684904651935026327534054289483343981228611185706660739391699257459255083708174450296518318942780841595720588944140274203885424896124457716617280226704717159035112099021240797608565011551819938229834621190239920647121803283773821046257734960880457158388298433331913575456427185760454746991717733344746588434604289696471531353003594910319280952561805017143677040482278938677390142468710857367765749449889801232293735397504141730274328633051938964495285547275966321923501977838983734681230162502482960690557836415519063554647328385163591302740618167928402889898486499848442706140513187459027140243028192420010550010461626135101665565423881099002957798152817936208208226457505642751889049080052515221708943710177689876791786269530581190451497713115924010897849531412920934900852112360207312262938305040117330449673329819549702611512630697550359364571653268955385296027861119482488771016743891484417874959471246871477164917879272534445889796862435205052169233290463728638140324394476584206004092430986056521291478379711869312243094842152159396949058580197348154173279908370090695011060709168941767879885364576426802501582893867930567464686460643188141100940397447083868002131683180656957926401230729607961995282056199550974139067890797509136714210383708860783590105612154263900250175166835963688746341916120285804384917212272315201012211168070329297256290903285063206425965514283669062267473337547800416747342938174041605650282338649980299076184651004432794122414304974044309683330018472912123799417165479341110724976825445149964928482739677255954832235872247612817018533206916497942948525926413801295359409687582504384899631486476621116818401901836070589063097073693316563773187601156452409609965726995250714042459732554270758487500476490446473169718008877229393305313811675150957055683112949615795895941518741428771721889531981369459500107798770887089924832001518616601326949483134924943291846409250601447464280402875722897454532368189868882302363415368114499254315655179438408730109037550517354267888925237640363580089521615426939110165413433761956030677174921764784132143003810333582938834962532039872492712336238829662232876390517693315994939700314448703075548815058538256972452153507365472493526055434673853149754857919989677574731162573264954219183419617675487866539257274805633885729120158964805923101958584213276537743909566132976822342178348381823519770727121257666264292847351312871685304534521128697541125327890736862896194608442005997903696623845863014125500239801756766327015611309305950815442226556409541159894420946031655822633246408982470138205592369246256491076412948845933869081013127674243665018706024184287212710747383710381214083015930987219658195231091004036897067783566928167777337134853730322761517385369340645657051503033327897981024760276035428473792746771160060979455339812442059443398642963084509682191629885612854}
19692  89955417813066814071533853420829900036879245869544580812239820753530625: {98435,118122,216491,551068,609491,787240,885645,944688,1062774,1140338,1627547,1744667,2134547,2717867,2911907,2950691,3724691,4190762,4341587,4424402,4457027,4879691,5109827,5124458,5224787,5263091,5357522,5823218,6027491,6065627,6196444,6783045,6940547,7205987,7235248,7395347,8075387,8139654,8339147,8527307,8836202,8865491,9066962,9203027,9764147,9988562,10218602,10448498,10918091,11029821,11695427,11806187,12053738,12211691,12265468,12282482,12579491,12983147,13016392,13074565,13129691,13641587,13896947,13953064,14123068,14624387,14643441,15016178,15469778,15513244,15529187,15689478,15697197,16069667,16136392,16377613,16438588,16601258,16613545,17071144,17252387,18153441,18404138,18532691,18677950,18746908,18921827,19063091,19205037,19239491,19526258,19680661,19871944,19936254,20608547,21048028,21340691,21375467,21688091,21759698,22355937,22413540,22725491,23035307,23207147,23396590,23536082,23550227,23755691,23799868,23907776,24268091,24862322,25082858,25287491,25743602,25996787,26266067,26601947,26896248,26970491,27171107,27471491,27671387,27934024,28003907,28075908,28103507,28115230,28155242,28269347,28468091,29245682,29272444,29668245,30060597,30258279,30714664,30928091,30982898,31122947,31421085,31425777,31447067,31646128,31931747,32028467,32221691,32382491,32445628,32521377,33172845,33305734,33356522,33423700,33515824,33738276,33801244,33820691,34296491,34553997,34721992,35054027,35154268,35285618,35384368,35499242,35556491,35601894,35645224,35786425,36352298,36461987,36565202,36679547,37113491,37144427,37182664,37576691,37705302,37761467,38051498,38421645,38528267,38715925,38803091,39062241,39138107,39593387,39807414,39946024,40100877,40108440,40137347,40498547,40618691,40768691,40793042,40865992,40983088,41002922,41068091,41396507,41485907,41785384,41830497,41880508,42676778,42782336,42943710,43024067,43926122,43928392,44337707,44939277,45121995,45290747,45348227,45377138,45463091,45806624,45864107,45885148,45974241,46035491,46064027,46105974,46292027,46328668,46459110,46576307,47008557,47026802,47142467,47170691,47214844,47339867,47437778,47579620,47594824,48130128,48153491,48462698,48509992,48728365,49419441,49556384,49568027,49891538,50062307,50089691,50096228,50335787,50635691,50907491,51238317,51286667,51532452,51691187,52281227,52324562,52526378,53544177,53555147,53713091,53824444,54146394,54394187,54472427,54498491,54536618,54573741,54596392,54654707,54862547,55043987,55276691,55750932,55809741,56175491,56201027,56277587,56532458,56659307,56720584,56929285,56929898,57046017,57095544,57693491,57920978,58194844,58217987,58316402,58317491,58474038,58664747,59059691,59182691,59403587,59574947,60013787,60135227,60378357,60425867,60787547,61261864,61420941,61457867,61459058,61814387,61932801,61956491,62098307,62238962,62536444,62919827,63013091,63338507,63361691,63616187,63810657,63823691,63985322,64053491,64232487,64305347,64582984,65250141,65280587,65415491,65527691,65662067,66251085,66484285,66880427,66989987,67513091,67534787,67633778,67824362,67837691,67911925,68180493,68289107,68315142,68566787,68919597,69012491,69099304,69105201,69328691,69611950,69830867,70245827,70575085,70667824,70698587,71491691,71566040,71612627,71802184,72093491,72193091,72259165,72569747,72655857,72729002,72806147,72982691,73158587,73165245,73288658,73392107,73547147,73601224,73682387,73729525,73836467,74028347,74123301,74218538,74409707,74428691,74539708,74663365,74863857,74891085,75256067,75388444,75645491,75921491,76031387,76104491,76304867,76486187,76615845,76738691,77167907,77169962,77192392,77353202,77539691,77557307,77610107,77736717,77803091,78042928,78220787,78349948,78706045,78988917,79177682,79261691,79412747,79501302,79613147,79696307,79781142,79883824,79903442,80177992,80403227,80500691,80511795,80678627,80777457,80983691,81063491,81167978,81327550,81396467,81419457,81494310,81543117,81707762,81723568,81783645,82005491,82236491,82480907,82708187,82753427,82801377,82918691,82962218,83534340,83752264,83861027,84163091,84447491,84690102,84742058,84742667,84778232,84798491,84923627,85148965,85223445,85417691,85566587,85879248,85888091,85941227,86218091,86276001,86400707,86710998,86733628,86786747,86841441,86858858,86913085,86927264,86977067,86989691,87102947,87165587,87235888,87252947,87549491,87622907,87683867,87798294,88045427,88081187,88093091,88164347,88242025,88329491,88344861,88475430,88551107,88607018,88678091,88887237,89064467,89103296,89287427,89419667,89452547,89596038,89680691,89869302,90011027,90042587,90200241,90374747,90375045,90467845,90513362,90685802,90708707,90808187,90882268,90905008,91014491,91207691,91295548,91350491,91388267,91464904,91575227,91667507,91777187,91822547,91858691,91939014,91993091,92060138,92090507,92116907,92121244,92256491,92436587,92563067,92588147,92647624,92712467,92875427,92971667,93074627,93255122,93345107,93510107,93533992,93576491,93593757,93708685,93750347,94034425,94124584,94221297,94263947,94273778,94303091,94373792,94447254,94456787,94531907,94612178,94744427,94907387,94941491,94977550,95002108,95066965,95118698,95188091,95245907,95323187,95375511,95388707,95413547,95447987,95605067,95628107,95660027,95673587,95749067,95813747,95847375,95855867,95913491,95929667,95973491,96035507,96164027,96174587,96229691,96276227,96295538,96295691,96373691,96391667,96400048,96435347,96474491,96575267,96614154,96637907,96670187,96696707,96718091,96736691,96747467,96761387,96763091,96773147,96778067,96797738,96831491,96845747,96856691,96883691,96886573,96889427,96893987,96897491,96927587,96927925,96933107,96937787,96940691,96943547,97051228,97465322,97593060,97793172,98130602,98140374,98390901,...,666677778912008038965330577503353288466724543864247241507859686005715312964943350907094496107901730759444396659670764357978670189531820842784857809086057939573789582110940345656384939493497848675230561105433892323067787459964356593572957697181213113962377282869106116671533926830979821119795751027356977902539491301081434225015971842916778559991109087548886188882625562261675444777478414171262393580883416210411305828137344186686574925920340057075738552668148531861196412847517327729907344751931785359880970682704925660731569386602441320685737582447649997870363184640778640682120487576600017119882651906434544707297029505392365478921428842707525715515560723418408016085213703066286051648624174834701848440603096256212595411492949577908446742928320913949482885252966758475602021845243753724441035836754623278595331970992577745386954110927251892604334847729749772664059210769781188540710364542288630015825015692439202652498348135821648504436697229226904312312339686258464127833573620078772832563415565266534815187679404295871785677246569673886016346774297119381402351278168540310968394407457560175995674509994729324553917268946046325539046857479903433077944041791679223733156525115837226626812439206870307215747376818908801668834695293652807578253849935695592957210486591714876309006138646479084781937217569567803968364642263228239095423587870296022231259919862555136042516591063753412651819828046864640203752374340801895851197029690964782211651410596170625802003197524770985436889601846094411942992923084299326461208601836196263705071315575563291175385158418231395850375262750253945533119512874180428706577375818408472801518316752105493945884436354927594809638948271425503593401210006321700625121014407261062408475423507974970448614276976506649191183621457461066464524995027709368185699125748219011666087465238167724947392724109515883932248353808371419225527799810374746914422788889620701943039114531373756577349447229714931675227602852754105883594645610539974845659781401734678614414948590492876071063689598831406137731250714735669709754577013315844089957970717512726435583524669424423693843912278112143157582834297972054189250161698156330634887248002277924901990424224702387414937769613875902171196420604313584346181798552284803323453545123052171748881473482769157613095163556325776031401833387856460545370134282423140408665248120150642934046015762382647176198214505715500374408252443798059808739068504358244493349314585776539973992409550471673054613323222587807385458678230261048208740289083152010779724632286879984516362096743859897431328775129426513231799808885912208450828593680238447208884652937876319914806615864349199465233513267522572735279656090681886499396439271026969307527956801781693046311687991836105294344291912663008996855544935768794521188250359702635149490523416963958926223163339834614311739841631419047483733949869613473705207308388553869384736614619423268900803621519691511365497528059036276430819066121075565571821124523896480829487292846636506055345601675350392251666005702280595484142276078054010968485577254549991846971537140414053142710689120156740091469183009718663089165097964444626764523287444828419281}
19693  90306917375087482668825822851649813155332656790146461468894610225310881: {157496,177183,688835,826602,984050,1180860,1259584,1417032,1594161,1710507,4856267,6286143,6330842,6636603,7686687,7745555,8036283,8218298,8690162,8734827,9044060,9294666,10852872,11389343,12208931,12209481,13254303,13600443,14119343,14706428,14937251,14982843,15327903,15331835,15672747,15746027,16270490,17035007,17387951,17441330,17653835,18080607,18099107,18398202,18423723,19391555,19524588,20170490,20548235,20919304,20929596,21145163,21184602,21338930,22334651,22524267,23204667,23269866,23433635,23534217,24204588,24327323,24442271,24657882,24694163,24839930,24901887,25606716,26213603,26310035,26318771,26444447,26581672,26875331,27511427,27606207,27690362,27732107,28016925,28120362,29289387,29326346,29749835,29807916,29881247,29884720,29904381,30208223,30381743,30629258,30961322,31189571,31572042,32217587,32282003,32440991,32534831,32639547,32903363,33620310,34100051,34570667,34677707,34806083,34917530,34952771,35094885,35304123,35310587,35699802,35757743,35784122,35853887,35860202,35861664,36080411,36562211,36590555,37293483,37434544,37624287,37831547,38076971,38300447,38393330,38437343,38441483,38615403,38826491,39557660,39617663,40080796,40344372,40557035,41375147,41645471,41779625,41790122,41894780,41901036,42113862,42172845,42232863,42251555,42446243,42648287,42780251,43361836,43402490,43868523,43871243,43908666,43942835,44230460,44361482,44556530,44661563,44984368,45192191,45378827,46071996,46474347,46478330,46931258,47321642,47469192,47771843,47958767,48391187,48642527,48668442,49630511,49895963,49932530,49958601,50034783,50135550,50273736,50607414,50701866,51082490,51228860,51409202,51538091,52082988,52231730,52350635,52731402,52893683,52928427,53076552,53218826,53248863,53402841,53403467,53467836,53477920,53604131,54446522,54528447,54631082,54847803,54910490,55773996,56405843,56418623,56510111,56557953,57077247,57085103,57223571,57258280,57356435,57910835,58902602,58904963,59018555,59474525,59493530,59711121,59756378,59919036,60162660,60278066,60403187,60461891,60637490,61189563,61298988,61452203,61474632,61504383,61834346,61895711,61945480,62440607,62451887,62620285,62678076,62820762,62826911,63396827,63923723,64003802,64015167,64022618,64099787,64173504,64401071,64415565,64564946,64892243,65889183,65890691,65892588,65925458,66069587,66229706,66386723,66482687,67081466,67280555,67543343,68065707,68245490,68287562,68317756,68537642,68709936,68827722,69158961,69493002,69605042,69688665,69870203,69898346,70155743,70197251,70540203,70703807,70822266,70900730,71156667,71369430,71392236,71508122,72195192,72694047,72743555,72764988,72823691,72902411,73131743,73283231,73845083,74180953,74219387,74243642,74334576,74412988,74516483,74837307,75113498,75144342,75549962,75707171,76061356,76127392,76331402,76577330,76794938,77298678,77317643,77965384,78027167,78170555,78486843,78789567,79224827,79315391,79541882,80031791,80504476,80728730,80736666,81066671,81132707,81219591,81555563,81709283,81804927,81842243,81892778,81894588,82359011,82577068,83626398,83874911,83986346,84350042,84439322,84798687,85080876,85168562,85394847,85643316,86065307,86374130,86458403,86579546,86709227,86881467,87000188,87044522,87096227,87211163,87292266,87325802,87337667,87474603,87711057,87800351,88334780,88815371,88983707,89118767,89457550,89570243,89729306,89752730,89917343,90083651,90375098,90907324,91086856,91588667,91682987,91892796,92001530,92140268,92181227,92188587,92628287,93174635,93358443,93804666,94225907,94235555,94607663,94813211,95096027,95456042,95633723,95977983,96482351,96490490,96874476,97275098,97553660,97882367,97937435,98012831,98068826,98831068,99685322,99743663,99818476,99854780,99906047,...,888903705216010718620440770004471051288966058485662988677146248007620417286591134542792661477202307679259195546227685810638226919375761123713143745448077252765052776147920460875179919324663798233640748140578523097423716613285808791430610262908284151949836377158808155562045235774639761493061001369809303870052655068108578966687962457222371413321478783398514918510167416348900593036637885561683191441177888280548407770849792248915433234560453409434318070224198042481595217130023103639876459669242380479841294243606567547642092515469921760914316776596866663827150912854371520909493983435466689493176869208579392943062706007189820638561905123610034287354080964557877354780284937421714735531498899779602464587470795008283460548657266103877928990571094551932643847003955677967469362460325004965921381115672831038127109294656770327182605481236335856805779796972999696885412281026374918054280486056384840021100020923252270203331130847762198005915596305635872416416452915011285503778098160105030443417887420355379753583572539061162380902995426231848021795699062825841869801704224720414624525876610080234660899346659639099405223025261395100718729143306537910770592055722238964977542033487782968835749918942493742954329835758545068891779593724870410104338466580927457276280648788953168412008184861972113042582956759423738624486189684304318793898117160394696308346559816740181390022121418337883535759770729152853605003165787735861134929372921286376282201880794894167736004263366361313915852802461459215923990564112399101948278135781595018273428420767417721567180211224308527800500350333671927377492683832240571608769834424544630402024422336140658594512581806570126412851931028567338124534946675095600833494685876348083211300564677299960598152369302008865588244828609948088619366660036945824247598834330958682221449953650890299929856965479354511909664471744495225634037066413832995885897051852827602590718819375165008769799262972953242233636803803672141178126194147386633127546375202312904819219931453990501428084919465108541516975000952980892946339436017754458786610627623350301914111366225899231591791883037482857543443779063962738919000215597541774179849664003037233202653898966269849886583692818501202894928560805751445794909064736379737764604726830736228998508631310358876817460218075101034708535777850475280727160179043230853878220330826867523912061354349843529568264286007620667165877669925064079744985424672477659324465752781035386631989879400628897406151097630117076513944904307014730944987052110869347706299509715839979355149462325146529908438366839235350975733078514549611267771458240317929611846203917168426553075487819132265953644684356696763647039541454242515332528585694702625743370609069042257395082250655781473725792389216884011995807393247691726028251000479603513532654031222618611901630884453112819082319788841892063311645266492817964940276411184738492512982152825897691867738162026255348487330037412048368574425421494767420762428166031861974439316390462182008073794135567133856335554674269707460645523034770738681291314103006066655795962049520552070856947585493542320121958910679624884118886797285926169019364383259771225708}
19694  90659780689346912806645100039636732168570364067163904810373386983920383: {137809,196870,236244,255853,432982,1102136,1218982,1239903,1476075,1574480,1771290,1889376,1900909,2125548,2280676,2950993,3183553,3255094,3489334,3763693,4110913,4269094,4342033,5263633,5378509,5435734,5823814,5901382,5951809,6066253,7449382,8113933,8381524,8683174,8791309,8848804,8903953,8914054,9353809,9496263,9759382,10219654,10248916,10449574,10526182,10715044,11305075,11585809,11646436,11696653,12054982,12131254,12249793,12327447,12392888,13035243,13566090,13881094,13941999,14411974,14470496,14790694,16150774,16279308,16678294,17039809,17054614,17575309,17672404,17730982,18133924,18304391,18383035,18406054,19276813,19528294,19977124,20437204,20896996,21377773,21690433,21836182,22059642,22210093,22417453,22831309,23258963,23390854,23612374,23860909,24107476,24373009,24405735,24423382,24530936,24564964,25158982,25290253,25966294,26032784,26149130,26161995,26168791,26259382,26806033,27006913,27283174,27597303,27793894,27906128,28246136,28405009,28900909,29248774,29286882,30032356,30255735,30939556,30964033,31026488,31058374,31378956,31394394,31776903,31935313,32008395,32139334,32272784,32707153,32755226,32877176,33202516,33227090,33283009,34142288,34332013,34504774,34904799,35183809,35560513,36306882,36808276,36986823,37065382,37148653,37259895,37355900,37493816,37611793,37843654,38126182,38410074,38478982,38532673,39052516,39264193,39361322,39743888,39872508,39900493,40172113,41162509,41217094,41535543,42055309,42096056,42180543,42681382,42750934,43029073,43376182,43519396,43819309,43989519,44690509,44711874,44827080,45123409,45450982,45640513,45943887,45983809,46069453,46070614,46325953,46414294,46441983,46793180,46837009,47072164,47100454,47176273,47358063,47511382,47599736,47815552,48019393,48536182,49436173,49447075,49724644,50095693,50100995,50165716,50430465,50574982,50587309,50913613,51487204,51724333,51993574,52368475,52376295,52532134,53006509,53203894,53549703,53676183,53790303,53792496,53940982,54202295,54270253,54342214,54505153,54895213,54942982,55288075,55342774,55868048,56007814,56151816,56207014,56207953,56230460,56310484,56538694,56818513,56936182,57589995,57725713,58025809,58324753,58399309,58491364,58544888,59336490,60121194,60312493,60516558,61322509,61429328,61679809,61856182,61965796,62245894,62389009,62685183,62842170,62851554,62894134,63091009,63170793,63292256,63369793,63854893,63863494,64036075,64056934,64061713,64443382,64541773,64764982,64891256,65042754,65086093,65103735,65558593,65862999,66345690,66542223,66611468,66713044,66834795,66847400,66889153,67031648,67476552,67543633,67602488,67641382,68219711,68447809,68592982,69107994,69443984,69463873,69652333,69717495,70089553,70108054,70308536,70396887,70571236,70768736,70982463,70998484,71112982,71203788,71290448,71572850,72704596,72923974,73002663,73051309,73130404,73359094,73576513,74226982,74288854,74365328,74438893,74898795,75153382,75203325,75410604,75522934,75674413,75911121,76052799,76102996,76623735,76713409,76843290,77056534,77113803,77303053,77431850,77568193,77606182,78124482,78249133,78276214,78347595,79097103,79121233,79186774,79614828,79624513,79700999,79828239,79892048,80201754,80216880,80274694,80512273,80754733,80997094,81237382,81537382,81586084,81669783,81731984,81946623,81966176,82005844,82136182,82217809,82365735,82675009,82793014,82971814,83570768,83660994,83761016,83786509,84218509,84853009,85060909,85267009,85353556,85397195,85564672,85887420,86048134,86073409,86812813,87003073,87852244,87856784,87927373,88106833,88353903,88675414,88806673,88840909,89179309,89240295,89634567,89834509,89878554,89993809,90151309,90182593,90243990,90417099,90581494,90582733,90696454,90733393,90754276,90926182,90941293,90956235,91058509,91613248,91627309,91728214,91770296,91948482,92008333,92070982,92128054,92211948,92297809,92452033,92528173,92578573,92584054,92657336,92751519,92918220,93016235,93043009,93066733,93077999,93152614,93368593,93413953,93526093,93614509,93914893,94017114,94053604,94141009,94221073,94231143,94284934,94341382,94429688,94604113,94679734,94802509,94875556,94992193,95076695,95159240,95189648,95205133,95314753,95360653,95465233,95523409,95663809,95731309,95873473,95995153,96005703,96033927,96109633,96142573,96196033,96257809,96260256,96306982,96316993,96355009,96445009,96519853,96596173,96703309,96755473,96781933,96847419,96902893,96925396,96947533,96959809,96962113,97019984,97456730,98805119,98838882,98888187,99112768,99136054,99344559,99783076,...,1333355557824016077930661155006706576933449087728494483015719372011430625929886701814188992215803461518888793319341528715957340379063641685569715618172115879147579164221880691312769878986995697350461122210867784646135574919928713187145915394362426227924754565738212233343067853661959642239591502054713955805078982602162868450031943685833557119982218175097772377765251124523350889554956828342524787161766832420822611656274688373373149851840680114151477105336297063722392825695034655459814689503863570719761941365409851321463138773204882641371475164895299995740726369281557281364240975153200034239765303812869089414594059010784730957842857685415051431031121446836816032170427406132572103297248349669403696881206192512425190822985899155816893485856641827898965770505933516951204043690487507448882071673509246557190663941985155490773908221854503785208669695459499545328118421539562377081420729084577260031650031384878405304996696271643297008873394458453808624624679372516928255667147240157545665126831130533069630375358808591743571354493139347772032693548594238762804702556337080621936788814915120351991349019989458649107834537892092651078093714959806866155888083583358447466313050231674453253624878413740614431494753637817603337669390587305615156507699871391185914420973183429752618012277292958169563874435139135607936729284526456478190847175740592044462519839725110272085033182127506825303639656093729280407504748681603791702394059381929564423302821192341251604006395049541970873779203692188823885985846168598652922417203672392527410142631151126582350770316836462791700750525500507891066239025748360857413154751636816945603036633504210987891768872709855189619277896542851007186802420012643401250242028814522124816950847015949940897228553953013298382367242914922132929049990055418736371398251496438023332174930476335449894785448219031767864496707616742838451055599620749493828845577779241403886078229062747513154698894459429863350455205705508211767189291221079949691319562803469357228829897180985752142127379197662812275462501429471339419509154026631688179915941435025452871167049338848847387687824556224286315165668595944108378500323396312661269774496004555849803980848449404774829875539227751804342392841208627168692363597104569606646907090246104343497762946965538315226190327112651552062803666775712921090740268564846280817330496240301285868092031524765294352396429011431000748816504887596119617478137008716488986698629171553079947984819100943346109226646445175614770917356460522096417480578166304021559449264573759969032724193487719794862657550258853026463599617771824416901657187360476894417769305875752639829613231728698398930467026535045145470559312181363772998792878542053938615055913603563386092623375983672210588688583825326017993711089871537589042376500719405270298981046833927917852446326679669228623479683262838094967467899739226947410414616777107738769473229238846537801607243039383022730995056118072552861638132242151131143642249047792961658974585693273012110691203350700784503332011404561190968284552156108021936971154509099983693943074280828106285421378240313480182938366019437326178330195928889253529046574889656838562}
19695  91014013009437269703394186207266350205772488561715421218297170977109066: {295305,314992,354366,649473,964369,1377670,1653204,1828473,1968100,2361720,2519168,2656935,2834064,2850845,3188322,3421014,4882641,4974233,5234001,5682029,6403641,8153601,8735721,8852073,9712534,10476905,10843777,11061005,11174073,12572286,12661684,12811145,13024761,13273206,13371081,13393805,14558045,14639073,15329481,15373374,15491110,15674361,15789273,16072566,16436596,17380324,17469654,18082473,18088120,18196881,18589332,18608941,20132281,20349135,20821641,21464569,21617961,21705744,21756713,22090505,22186041,22667405,22778686,23042129,24226161,24326753,24417862,24418962,24715369,24962257,24971405,25017441,25546505,25581921,26121245,26508606,26596473,27148177,27189361,27200886,27609081,28175873,28238686,28767529,29292441,29412856,29415097,29874502,29965686,30134345,30655806,30663670,30706205,31345494,31492054,32540980,32754273,32807089,33089463,33613709,34070014,34775902,34882660,35086281,35307670,35314201,35418561,35599649,36161214,36198214,36257041,36635073,36796404,36834049,36847446,37069273,37540445,37738473,38339353,38674445,38783110,38949441,39049176,39223695,39389073,40086401,40340980,40702969,40924761,41096470,41503145,41649769,41690841,41838608,41859192,42290326,42369204,42677860,43873161,43930323,44230429,44669302,45048534,45463433,45510989,45885853,46010345,46409334,46539732,46587561,46694875,46867270,47068434,47091591,47136281,48209001,48409176,48584129,48654646,48815645,48884542,48897901,49132839,49315764,49388326,49679860,49803774,49840635,50402521,50528237,50833841,51213432,51226777,51757161,52427206,52620070,52637542,52888894,53163344,53408953,53654513,53750662,54399245,54460323,54920129,55022854,55212414,55380724,55464214,55598073,56033850,56184953,56240724,56765481,56779849,57006113,57189273,57615111,57718473,58491475,58578774,58652692,58840205,58877033,59041983,59152177,59499670,59615832,59762494,59769440,59808762,59974673,60416446,60691577,60763486,60908653,61236041,61258516,61519969,61825641,61922644,62155805,62379142,62497193,62707145,63144084,64022073,64075181,64126401,64359005,64435174,64564006,64881982,65064273,65069662,65279094,65328449,65806726,66275033,66600113,67067811,67240620,68147537,68176473,68200102,69105921,69141334,69355414,69612166,69621441,69835060,69905542,70189770,70288075,70388105,70608246,70621174,70650681,71267073,71399604,71444161,71515486,71568244,71707774,71720404,71723328,72160822,72804273,73114205,73124422,73181110,73290889,73642537,73645673,74586966,74869088,75248574,75663094,75862473,76153942,76600894,76786660,76874686,76882966,77230806,77457245,77652982,77990361,78798201,79115320,79235326,79805841,80161592,80299009,80688744,80911473,80968973,81075169,81114070,81315113,81513321,81815297,82414473,82625977,82750294,82895009,83014161,83264335,83290942,83391305,83559250,83580244,83789560,83802072,84011721,84227724,84310521,84345690,84465726,84503110,84613897,84808041,84850349,84892486,85296574,85404273,85560502,86040041,86723672,86804980,87668399,87713821,87737046,87742486,87817332,87885670,88214045,88460920,88722964,88748105,89004735,89113060,89323126,89968736,90181791,90384382,90533453,90757654,90774837,90880745,91413005,91598041,91776169,92143992,92231501,92784273,92948694,92956660,93368841,93629341,93862516,94192777,94263255,94277331,94341201,94643284,94938384,94940569,95128745,95543686,95751041,95795241,95917534,96085401,96665073,96782374,97147473,97285054,97336884,97564131,98271689,98538553,98566673,99261022,99518535,99791926,99865060,99917202,...,2000033336736024116895991732510059865400173631592741724523579058017145938894830052721283488323705192278333189979012293073936010568595462528354573427258173818721368746332821036969154818480493546025691683316301676969203362379893069780718873091543639341887131848607318350014601780492939463359387253082070933707618473903244302675047915528750335679973327262646658566647876686785026334332435242513787180742650248631233917484412032560059724777761020171227215658004445595583589238542551983189722034255795356079642912048114776982194708159807323962057212747342949993611089553922335922046361462729800051359647955719303634121891088516177096436764286528122577146546682170255224048255641109198858154945872524504105545321809288768637786234478848733725340228784962741848448655758900275426806065535731261173323107510263869835785995912977733236160862332781755677813004543189249317992177632309343565622131093626865890047475047077317607957495044407464945513310091687680712936937019058775392383500720860236318497690246695799604445563038212887615357031739709021658049040322891358144207053834505620932905183222372680527987023529984187973661751806838138976617140572439710299233832125375037671199469575347511679880437317620610921647242130456726405006504085880958422734761549807086778871631459775144628927018415939437254345811652708703411905093926789684717286270763610888066693779759587665408127549773191260237955459484140593920611257123022405687553591089072894346634954231788511877406009592574312956310668805538283235828978769252897979383625805508588791115213946726689873526155475254694187551125788250761836599358538622541286119732127455225418404554950256316481837653309064782784428916844814276510780203630018965101875363043221783187225426270523924911345842830929519947573550864372383199393574985083128104557097377244657034998262395714503174842178172328547651796745061425114257676583399431124240743268366668862105829117343594121269732048341689144795025682808558262317650783936831619924536979344205204035843244845771478628213191068796494218413193752144207009129263731039947532269873912152538179306750574008273271081531736834336429472748502893916162567750485094468991904661744006833774705971272674107162244813308841627706513589261812940753038545395656854409970360635369156515246644420448307472839285490668977328094205500163569381636110402847269421225995744360451928802138047287147941528594643517146501123224757331394179426217205513074733480047943757329619921977228651415019163839969667763422156376034690783144626220867249456032339173896860639953549086290231579692293986325388279539695399426657736625352485781040715341626653958813628959744419847593047598395700539802567718205838968272045659498189317813080907922583870405345079138935063975508315883032875737989026990566634807306383563564751079107905448471570250891876778669490019503842935219524894257142451201849608840421115621925165661608154209843858269806702410864559074534096492584177108829292457198363226696715463373571689442488461878539909518166036805026051176754998017106841786452426828234162032905456731763649975540914611421242159428132067360470220274407549029155989267495293893333880293569862334485257843}
19696  91369619609045557047505569919947278569510902713225507920045678079067501: {275618,393740,472488,511706,531549,865964,2066505,2204272,2212879,2437964,2460125,2479806,2679583,2952150,3148960,3542580,3778752,3801818,4251096,4419463,4534879,4561352,4650223,4782483,5110879,5131521,5225863,5685079,5901986,6143143,6367106,6510188,6978668,7527386,8221826,8538188,8684066,10527266,10660423,10757018,10871468,11647628,11771743,11802764,11903618,12132506,12545383,12985879,14568801,14898764,15062503,15604663,15827105,16145023,16227866,16763048,17366348,17582618,17697608,17755303,17807906,17828108,17862079,18288463,18394879,18707618,18858429,18992526,19518764,19909809,20439308,20497832,20508079,20545745,20612983,20899148,21052364,21430088,21725405,22074079,22610150,23060061,23171618,23236665,23292872,23393306,23623879,24108849,24109964,24262508,24499586,24654894,24785776,25055743,25736249,25766383,26069863,26070486,26204481,26271823,27132180,27762188,27883998,28176079,28823948,28940992,29069023,29266663,29562583,29581388,30739783,30926753,32003383,32301548,32558616,33356588,33637423,33923623,34018879,34079618,34109228,34168029,34588903,35150618,35344808,35461964,35815063,36002623,36267848,36470263,36608782,36626793,36628443,36749983,36766070,36812108,36936103,38553626,38598223,38689879,39056588,39762909,39954248,40146583,40676225,40801329,40874408,41793992,42358029,42755546,43380866,43603325,43672364,44119284,44144743,44420186,44811753,44834906,44948529,45358879,45662618,45983709,45995505,46517926,46644079,46781708,47018241,47224748,47238081,47721818,48214952,48746018,48811470,48833383,48846764,49061872,49129928,50317964,50402479,50426225,50580506,51105021,51299023,51932588,52065568,52163853,52298260,52323990,52337582,52347343,52518764,52827079,52906783,52961505,53347325,53612066,54013826,54241821,54297321,54566348,54720103,55194606,55271169,55587788,55812256,56265943,56492272,56810018,57406423,57801818,57858079,58174665,58232479,58497548,58573764,60064712,60511470,61644705,61877479,61879112,61928066,61948543,62052976,62099825,62116748,62161303,62757912,62788788,62935879,63354703,63435489,63553806,63870626,64016790,64253263,64278668,64545568,65409943,65414306,65510452,65679079,65754352,66013879,66405032,66454180,66566018,66611983,67003953,67269703,67400383,67572801,67984879,68284576,68627479,68664026,68882503,69009548,69225905,69614001,69809598,69891079,70141393,70264543,70300905,70367618,70602651,71121026,71490703,71672143,72613764,72865183,72924079,72981969,73217479,73315865,73326813,73616552,73856623,73973646,74082489,74130764,74297306,74519790,74705661,74711800,74883703,74940079,74987632,75223586,75687308,75883213,76052479,76252364,76380583,76573145,76820148,76957964,77065346,77136079,77403305,78105032,78242863,78528386,78640809,78722644,78930105,78956313,79267423,79333341,79487776,79745016,79800986,80344226,80458879,80625993,80701879,81134743,81372703,81702823,82075783,82325018,82434188,82534281,82535503,82818621,83071086,83196321,83256079,83477479,83653303,84050775,84110618,84192112,84361086,84387703,84599743,84809983,85362764,85501868,86058146,86231263,86752364,86775079,86813383,87003823,87038792,87293825,87304783,87564343,87638618,87711079,87868161,87979038,88774879,89115079,89249505,89381018,89423748,89460305,89579263,89643741,89650505,89654160,89713143,89934079,90246818,90403879,90624669,90738103,90901964,91145229,91150879,91266223,91281026,91465303,91688503,91825663,91852879,91880023,91887774,91967618,92138906,92141228,92484463,92610823,92651906,92760079,92828588,92883966,92906743,93121879,93215623,93262063,93568713,93586360,93674018,93710623,93986743,94089703,94144328,94200908,94352546,94502479,94577503,94716126,94952479,95022764,95199472,95264383,95447983,95492263,95593063,95631104,95649079,95770903,95899423,95960983,95983325,95985103,96038786,96199879,96312343,96477583,96574783,96612223,96652761,96814183,96842479,96846009,96883879,96935143,96957823,96976543,96983023,97072364,97322973,97604493,97918641,98710089,98872346,98894150,99449288,...,2666711115648032155861322310013413153866898175456988966031438744022861251859773403628377984431606923037777586638683057431914680758127283371139431236344231758295158328443761382625539757973991394700922244421735569292271149839857426374291830788724852455849509131476424466686135707323919284479183004109427911610157965204325736900063887371667114239964436350195544755530502249046701779109913656685049574323533664841645223312549376746746299703681360228302954210672594127444785651390069310919629379007727141439523882730819702642926277546409765282742950329790599991481452738563114562728481950306400068479530607625738178829188118021569461915685715370830102862062242893673632064340854812265144206594496699338807393762412385024850381645971798311633786971713283655797931541011867033902408087380975014897764143347018493114381327883970310981547816443709007570417339390918999090656236843079124754162841458169154520063300062769756810609993392543286594017746788916907617249249358745033856511334294480315091330253662261066139260750717617183487142708986278695544065387097188477525609405112674161243873577629830240703982698039978917298215669075784185302156187429919613732311776167166716894932626100463348906507249756827481228862989507275635206675338781174611230313015399742782371828841946366859505236024554585916339127748870278271215873458569052912956381694351481184088925039679450220544170066364255013650607279312187458560815009497363207583404788118763859128846605642384682503208012790099083941747558407384377647771971692337197305844834407344785054820285262302253164701540633672925583401501051001015782132478051496721714826309503273633891206073267008421975783537745419710379238555793085702014373604840025286802500484057629044249633901694031899881794457107906026596764734485829844265858099980110837472742796502992876046664349860952670899789570896438063535728993415233485676902111199241498987657691155558482807772156458125495026309397788918859726700910411411016423534378582442159899382639125606938714457659794361971504284254758395325624550925002858942678839018308053263376359831882870050905742334098677697694775375649112448572630331337191888216757000646792625322539548992009111699607961696898809549659751078455503608684785682417254337384727194209139213293814180492208686995525893931076630452380654225303104125607333551425842181480537129692561634660992480602571736184063049530588704792858022862001497633009775192239234956274017432977973397258343106159895969638201886692218453292890351229541834712921044192834961156332608043118898529147519938065448386975439589725315100517706052927199235543648833803314374720953788835538611751505279659226463457396797860934053070090290941118624362727545997585757084107877230111827207126772185246751967344421177377167650652035987422179743075178084753001438810540597962093667855835704892653359338457246959366525676189934935799478453894820829233554215477538946458477693075603214486078766045461990112236145105723276264484302262287284498095585923317949171386546024221382406701401569006664022809122381936569104312216043873942309018199967387886148561656212570842756480626960365876732038874652356660391857778507058093149779313677124}
19697  91726605782029933277304192479743212254706156668251562986217528352655139: {19697,413427,492175,590610,629984,708732,767559,1082455,1298946,1928738,2755340,3047455,3306408,3656946,3719709,3936200,3991183,4428225,4723440,5038336,5313870,5668128,5701690,5702727,5878639,6350503,6376644,6842028,8137735,8723335,8852979,9550659,9765282,9948466,10468002,10672735,11291079,11364058,12332739,12807282,13026099,13589335,14559535,14667667,14753455,15485407,15790899,16135527,16307202,17471442,17704146,17855427,17897539,17935603,18198759,18623455,18751327,19185463,19425068,20381263,20953810,21687554,21707935,22122010,22187539,22285135,22348146,23472823,23668063,24341799,24398455,25144572,25323368,25549135,25622290,25712479,26049522,26123935,26315455,26373927,26546412,26711859,26742162,26787610,27231607,27323923,27651367,28061427,28488789,28749799,29116090,29278146,30137455,30328135,30658962,30746748,30926707,30982220,31348722,31578546,31734367,32011699,32145132,32292367,32873192,33298759,33550999,33915225,34279327,34702735,34757427,34760648,34939308,34959967,35089959,35765107,36029935,36164946,36176240,36265063,36393762,36569743,36749379,36976735,36982341,37178664,37217882,37568263,37786543,38409283,39105729,39787843,40264562,40350223,40376935,40698270,41643282,41695735,41825997,42188083,42214927,42232663,42597319,42636535,42929138,42988687,43235922,43303027,43411488,43513426,43676287,44181010,44327455,44372082,45334810,45515647,45557372,46015135,46084258,46175383,46363699,47405143,47742739,48452322,48653506,48816127,48820735,48835724,48837924,49012183,49430738,49472023,49924514,49942810,50034882,50387059,50865223,51093010,51119427,51126163,51163842,52242490,52556623,52725927,53017212,53192946,54012943,54144223,54296354,54378722,54401772,54590455,54913173,54925783,55053223,55149105,55218162,56190739,56351746,56477372,57370087,57417607,57454903,57535058,57830439,58104403,58477135,58584882,58611919,58825712,58830194,58883059,59030935,59341543,59749004,59786899,59931372,60120967,60268690,60401539,61058455,61311612,61327340,61412410,61666867,61825999,62690988,62897455,62984108,63280783,63311839,63409879,63409903,64133319,64414483,64447303,64877203,64905607,64915735,65071299,65081960,65248567,65372825,65442883,65508546,65614178,65648455,66178926,66400399,66630279,66701239,67168687,67227418,67252359,68140028,68207935,68341903,68493927,68494159,69484735,69517927,69551804,69765320,69776889,69835303,69848899,70172562,70457623,70615340,70628402,70837122,70879159,71199298,71582727,71969503,72322428,72396428,72514082,72667123,73091983,73119027,73121935,73217205,73270146,73592808,73668098,73694892,73761487,73860319,74138546,74926387,75070039,75080890,75476946,75720199,75870759,76158943,76678706,77029567,77348890,77364163,77410327,77566220,77594479,77596663,77645935,77786143,77898882,77990803,78098352,78325039,78447390,78485985,78506373,78778146,78988783,80172802,80348335,80418099,80681960,81020739,81405938,81849522,81888065,82192940,82376287,82572319,82791909,82903543,83006290,83067725,83299538,83381682,83677216,83718384,84235063,84580652,84738408,84859087,84918679,85215027,85355720,85588819,86261935,86702727,86813407,87018127,87746322,87790003,87860646,88250287,88460858,88801603,89142127,89338604,90097068,90102607,90542719,90767205,90926866,91021978,91164499,91368727,91771706,92020690,92647363,92663455,92818668,92892099,93042163,93079464,93175122,93389750,93734540,94136868,94183182,94272562,94443343,94453939,94609135,94832743,94949719,95011543,95315455,95330709,95805939,96025185,96099679,96197455,96418002,96566647,96818352,97168258,97309292,97631290,97769084,97795802,98121459,98265678,98281747,98403305,98543347,98631528,98728003,98776652,98996839,99359720,99607548,99681270,99849027,...,4000066673472048233791983465020119730800347263185483449047158116034291877789660105442566976647410384556666379958024586147872021137190925056709146854516347637442737492665642073938309636960987092051383366632603353938406724759786139561437746183087278683774263697214636700029203560985878926718774506164141867415236947806488605350095831057500671359946654525293317133295753373570052668664870485027574361485300497262467834968824065120119449555522040342454431316008891191167178477085103966379444068511590712159285824096229553964389416319614647924114425494685899987222179107844671844092722925459600102719295911438607268243782177032354192873528573056245154293093364340510448096511282218397716309891745049008211090643618577537275572468957697467450680457569925483696897311517800550853612131071462522346646215020527739671571991825955466472321724665563511355626009086378498635984355264618687131244262187253731780094950094154635215914990088814929891026620183375361425873874038117550784767001441720472636995380493391599208891126076425775230714063479418043316098080645782716288414107669011241865810366444745361055974047059968375947323503613676277953234281144879420598467664250750075342398939150695023359760874635241221843294484260913452810013008171761916845469523099614173557743262919550289257854036831878874508691623305417406823810187853579369434572541527221776133387559519175330816255099546382520475910918968281187841222514246044811375107182178145788693269908463577023754812019185148625912621337611076566471657957538505795958767251611017177582230427893453379747052310950509388375102251576501523673198717077245082572239464254910450836809109900512632963675306618129565568857833689628553021560407260037930203750726086443566374450852541047849822691685661859039895147101728744766398787149970166256209114194754489314069996524791429006349684356344657095303593490122850228515353166798862248481486536733337724211658234687188242539464096683378289590051365617116524635301567873663239849073958688410408071686489691542957256426382137592988436826387504288414018258527462079895064539747824305076358613501148016546542163063473668672858945497005787832325135500970188937983809323488013667549411942545348214324489626617683255413027178523625881506077090791313708819940721270738313030493288840896614945678570981337954656188411000327138763272220805694538842451991488720903857604276094574295883057189287034293002246449514662788358852434411026149466960095887514659239843954457302830038327679939335526844312752069381566289252441734498912064678347793721279907098172580463159384587972650776559079390798853315473250704971562081430683253307917627257919488839695186095196791401079605135436411677936544091318996378635626161815845167740810690158277870127951016631766065751475978053981133269614612767127129502158215810896943140501783753557338980039007685870439049788514284902403699217680842231243850331323216308419687716539613404821729118149068192985168354217658584914396726453393430926747143378884976923757079819036332073610052102353509996034213683572904853656468324065810913463527299951081829222842484318856264134720940440548815098058311978534990587786667760587139724668970515686}
19698  92084976842496315634985028186822503245720095526955439506114938108870988: {216557,334577,551236,727457,787480,885915,944976,1023412,1063098,1731928,1745201,1948419,1979297,2485517,2718701,2893107,3067937,3261677,3444175,3725837,3841697,4133010,4408544,4419917,4425758,4458401,4689137,4875928,4881197,4920250,4959612,4996337,5226401,5264717,5359166,5379617,5456177,5485419,5904300,5953037,6029357,6143777,6297920,7085160,7321901,7511201,7557504,7603636,7662497,7889201,7970805,8304077,8454701,8502192,8552535,8642801,8838926,8868257,8980877,9069758,9122704,9205901,9300446,9355757,9430637,9564966,10221758,10263042,10363937,10451726,10661537,11032817,11370158,11772977,11803972,11809901,12286286,12325997,12583457,12734212,13020376,13645901,13957336,14010701,14229197,14647923,14882957,14922699,15054772,15642401,15702003,15822701,16182701,16443652,17046087,17076376,17114957,17368132,17650337,18112877,18644897,19033901,19210923,19773857,21054532,21320846,21514036,21742936,21868577,22157947,22491377,22836257,23214701,23295256,23543486,23605528,23807236,23866097,23934497,24241901,24265012,24281335,24378317,24460803,25090766,25769201,25971758,26106401,26207163,26409197,26556219,26979377,27079757,27280301,28112801,28411277,28477517,28609901,28764043,28973297,29105201,29137602,29302817,29565857,29797528,29893937,30125006,30415567,30743201,30938417,31209326,31263137,31430715,31554701,31654210,31845617,32006957,32039201,32290046,32455732,32531331,32970797,33183015,33194657,33354317,33522219,33526096,33927437,34592801,34624397,34732696,35165236,35395216,35510606,35615812,35656216,35662577,35724158,35850401,36006701,36549799,36576926,36785201,36789758,36940301,37404401,37415236,37716858,37985052,38173901,38433435,38602637,38727775,38816417,39037528,39074283,39516077,39728177,39819618,39970097,40113243,40151201,40181357,40181415,40602701,40722797,40872737,40878616,40995664,41016158,41082317,41091490,41172017,41225966,41231777,41500301,41798296,42104728,42124337,42390701,42508877,42860176,43449677,43450810,43566701,43674135,43917219,44148158,44324237,44758817,45220300,45277937,45479117,45565217,45708557,45988443,46051757,46120122,46165901,46343236,46473330,46585744,46786612,46848077,46989617,47023083,47247758,47272097,47367819,47581901,48217698,48219928,48525016,48533357,48999172,49254701,49309788,49503137,49571552,49668401,50080301,50111486,50599457,50653937,50762801,51007277,51169901,51472498,51532766,51951857,52139726,52140972,52380401,52408962,52543646,53019377,53072417,53469197,53732717,54247419,54264360,54492401,54590643,54882701,55524376,55767996,55826823,56042801,56272877,56298401,56352158,56832557,56946715,57413537,57438701,57589517,57647896,57881984,58040237,58138046,58339277,58413857,58533326,59081837,59125166,59155697,59162776,59523917,59670701,59939057,60157901,60376097,60396843,60666017,61044655,61047405,61385777,61479566,61481201,61695437,61742957,61853506,61980077,62404877,62464923,63013901,63107117,63362801,63385997,63455537,63709901,63848237,64006766,64284401,64393707,64398701,64603096,64603937,64853883,65102897,65117232,65270139,65440877,65754701,65888717,66178097,66271515,66558123,66620657,66642701,66713176,66752801,67213037,67274846,67409201,67539617,67847246,67929137,68002215,68037758,68159236,68187377,68218456,68336058,68912801,69039857,69103277,69126387,69177806,69356237,69419297,69670817,69837857,70301236,70596715,70689616,70788401,70923928,71013197,71094701,71520497,71630126,71822477,72005246,72222317,72282017,72535696,72678483,72697901,72816077,72940526,72980259,73012397,73071137,73168877,73217564,73253586,73256886,73480301,73499966,73532140,73624216,73872206,74058701,74146107,74230817,74516237,74686255,74886771,74893997,74914215,75052323,75193901,75473201,75732257,75953057,76117901,76282097,76391201,76639515,76659175,76745763,76770797,77107252,77196446,77360177,77379758,77642801,77888417,78097697,78113176,78271217,78363735,78730135,78872237,79295537,79345997,79525818,79530401,79697201,79789419,79796897,79908496,80293166,80535437,80778017,80922701,81066737,81146477,81162401,81352450,81444531,81568083,81602658,81714701,81748816,82087757,82241837,82272557,82410401,82789901,82827243,82955297,83104817,83179277,83587984,83680301,83767757,83840417,83898401,84028397,84100337,84243617,84314957,84400301,84414497,84527619,84527777,84716058,84822701,84836657,84878477,85031201,85175035,85442801,85511092,85578401,85659377,85927217,86099597,86125997,86257517,86296817,86302587,86440301,86761732,86839457,86939755,87017201,87029837,87205901,87206650,87344728,87577901,87590177,87651437,87877323,88050737,88122401,88238568,88245291,88269175,88289486,88300301,88347437,88406177,88650701,88754417,88840372,88891697,89039117,89106701,89207537,89329901,89495201,89560817,89604401,89623506,89669812,89723597,89766701,89897058,89916557,90022637,90043757,90085901,90232397,90403035,90490097,90495535,90541037,90612017,90717758,90762797,90852401,91088177,91281137,91290701,91325236,91423757,91657457,91675937,91712801,91895201,91904237,91967418,91991010,92118615,92162801,92328557,92345837,92457377,92499917,92626337,92634701,92759201,93035852,93074477,93114017,93277901,93288158,93563416,93617201,93646577,93876977,93947297,93982157,94036482,94105997,94187117,94213901,94313201,94384877,94449496,94476162,94562957,94692401,94812401,94836017,94865357,94957901,95037197,95185697,95239217,95255117,95281457,95286701,95394977,95443636,95509517,95514401,95543537,95725901,95775137,95819057,95917037,95966477,95978657,95982701,96026657,96038477,96228401,96293837,96300557,96349937,96378701,96391277,96428237,96429904,96455201,96580301,96608417,96630701,96633137,96744737,96780017,96798497,96828077,96834701,96895217,96906701,96911597,96916267,96934157,96949901,96954401,96955277,96957775,96967457,96977201,96992801,96996077,96996401,96999437,97001357,97002701,97492036,97622940,97666766,97693528,98123744,98259856,98262819,98421267,99268389,...,6000100010208072350687975197530179596200520894778225173570737174051437816684490158163850464971115576834999569937036879221808031705786387585063720281774521456164106238998463110907464455441480638077075049948905030907610087139679209342156619274630918025661395545821955050043805341478818390078161759246212801122855421709732908025143746586251007039919981787939975699943630060355079002997305727541361542227950745893701752453236097680179174333283060513681646974013336786750767715627655949569166102767386068238928736144344330946584124479421971886171638242028849980833268661767007766139084388189400154078943867157910902365673265548531289310292859584367731439640046510765672144766923327596574464837617573512316635965427866305913358703436546201176020686354888225545345967276700826280418196607193783519969322530791609507357987738933199708482586998345267033439013629567747953976532896928030696866393280880597670142425141231952823872485133222394836539930275063042138810811057176326177150502162580708955493070740087398813336689114638662846071095219127064974147120968674074432621161503516862798715549667118041583961070589952563920985255420514416929851421717319130897701496376125113013598408726042535039641311952861832764941726391370179215019512257642875268204284649421260336614894379325433886781055247818311763037434958126110235715281780369054151858812290832664200081339278762996224382649319573780713866378452421781761833771369067217062660773267218683039904862695365535632218028777722938868932006416614849707486936307758693938150877416525766373345641840180069620578466425764082562653377364752285509798075615867623858359196382365676255213664850768949445512959927194348353286750534442829532340610890056895305626089129665349561676278811571774734037528492788559842720652593117149598180724955249384313671292131733971104994787187143509524526534516985642955390235184275342773029750198293372722229805100006586317487352030782363809196145025067434385077048425674786952952351810494859773610938032615612107529734537314435884639573206389482655239581256432621027387791193119842596809621736457614537920251722024819813244595210503009288418245508681748487703251455283406975713985232020501324117913818022321486734439926524883119540767785438822259115636186970563229911081906107469545739933261344922418517856472006931984282616500490708144908331208541808263677987233081355786406414141861443824585783930551439503369674271994182538278651616539224200440143831271988859765931685954245057491519909003290266469128104072349433878662601748368097017521690581919860647258870694739076881958976164838619086198279973209876057457343122146024879961876440886879233259542779142795187101619407703154617516904816136978494567953439242723767751611216035237416805191926524947649098627213967080971699904421919150690694253237323716345414710752675630336008470058511528805658574682771427353605548826521263346865775496984824462629531574809420107232593677223602289477752531326487877371595089680090146390120715068327465385635619728554498110415078153530264994051320525359357280484702486098716370195290949926622743834263726478284396202081410660823222647087467967802485881680001640880709587003455773529}
19699  92444738124875273072127213045329574054843101912484545603278149727545739: {19699,39394,689045,826854,984350,1181220,1259968,1279265,1417464,1515437,1535118,1594647,2164910,2597892,3857476,4266437,5510680,6094910,6199515,6612816,6638637,7097621,7313892,7380375,7439418,7872400,7982366,8038749,8856450,9446880,9504545,10076672,10627740,11336256,11392829,11403380,11405454,11757278,12212669,12701006,12753288,13258389,13604637,13684056,13950669,14347449,14754965,14941829,15332637,15394563,15677589,15917765,16275470,17040221,17055237,17446670,17705958,18429429,18818465,19025069,19101318,19530564,19896932,20383349,20554565,20654837,20936004,21151637,21345470,21710165,22582158,22673729,22728116,24334769,24665478,25614564,26052198,26072837,26221637,26318165,26326829,26452541,26892545,27178670,27740609,29119070,29335334,29506910,29759045,30217469,30331265,30391109,30904469,30970814,31199189,31581798,31981269,32271054,32291909,32614404,32913437,33730037,34157837,34688321,34942884,35315229,35408292,35607749,35710854,35768789,35795078,35864861,35871206,36091469,36397518,36573509,36841637,37246910,37502654,37636149,38088629,38312189,38370926,38453249,38838437,38850136,38957637,39629789,40531541,40569665,40762526,41486849,41907620,42192437,42459389,42661421,42793349,43132997,43375108,43415870,43706403,43956545,44244020,44375078,44519765,44570270,44675237,44696292,45187509,45206117,45392789,46180109,46769045,46813989,46945646,47181389,47336126,47481315,48435069,48583829,48683598,48796910,49012097,49717589,49911329,50136077,50289144,50441909,50646736,50870429,51098270,51244580,51424958,51553997,51607781,51767429,52099044,52247870,52630910,52747854,53092824,53265909,53423718,53484324,53575220,53586237,54463214,54647846,54865389,55184637,55292261,55302734,56122854,56423237,56525375,56527709,56575287,56977578,57241109,57499598,57882077,57923489,57929045,58232180,58374029,58483265,58556292,58849997,59691149,59729427,60004577,60274910,60421829,60656270,61248965,61317924,61471037,61493496,61524237,61637235,61838949,61853414,61964440,62058437,62697444,63157092,63468734,63943409,64023398,64119509,64290264,64421189,64584734,64912289,65176215,65449637,65746384,65910989,66089861,66222237,66322901,66407237,66503069,66597518,67101998,67830450,67901249,68349029,68558654,69180183,69405470,69514854,69521296,69709995,69842477,69878616,69919934,70179918,70725581,70871637,71383637,71530214,71976869,72059870,72326547,72329892,72352480,72530126,72787524,72846017,72924869,73139486,73498758,73953470,73964682,74357328,74435764,74539349,75136526,75167229,75573086,76426637,76818566,76932917,77208747,77299149,77341589,78051221,78209589,78211458,78613443,78729461,78815469,78828737,78857249,79575686,79649777,79986677,80499221,80529124,80700446,80753870,81396540,81580589,81867989,82439309,82643309,82948157,83286564,83391470,83651994,84376166,84429854,84465326,84528237,85194638,85199045,85273070,85481837,85858276,85977374,86091869,86471844,86485037,86600237,86606054,86822976,87026852,87207069,87352574,87799989,87876545,88056437,88281581,88362020,88654910,88687749,88719137,88744164,89146229,89225477,90669620,90882029,91031294,91114744,91521955,91907837,91915175,92030270,92168516,92170949,92209589,92219349,92350766,92656901,92727398,92780259,92953421,94254821,94666757,94810286,94842509,94959437,95485478,95491109,95663069,96010149,96384065,96674237,96904644,97026749,97278629,97307012,97632254,97641470,97671448,97675848,98024366,98861476,98944046,99550529,99849028,99885620,...,8000133346944096467583966930040239461600694526370966898094316232068583755579320210885133953294820769113332759916049172295744042274381850113418293709032695274885474985331284147876619273921974184102766733265206707876813449519572279122875492366174557367548527394429273400058407121971757853437549012328283734830473895612977210700191662115001342719893309050586634266591506747140105337329740970055148722970600994524935669937648130240238899111044080684908862632017782382334356954170207932758888137023181424318571648192459107928778832639229295848228850989371799974444358215689343688185445850919200205438591822877214536487564354064708385747057146112490308586186728681020896193022564436795432619783490098016422181287237155074551144937915394934901360915139850967393794623035601101707224262142925044693292430041055479343143983651910932944643449331127022711252018172756997271968710529237374262488524374507463560189900188309270431829980177629859782053240366750722851747748076235101569534002883440945273990760986783198417782252152851550461428126958836086632196161291565432576828215338022483731620732889490722111948094119936751894647007227352555906468562289758841196935328501500150684797878301390046719521749270482443686588968521826905620026016343523833690939046199228347115486525839100578515708073663757749017383246610834813647620375707158738869145083054443552266775119038350661632510199092765040951821837936562375682445028492089622750214364356291577386539816927154047509624038370297251825242675222153132943315915077011591917534503222034355164460855786906759494104621901018776750204503153003047346397434154490165144478928509820901673618219801025265927350613236259131137715667379257106043120814520075860407501452172887132748901705082095699645383371323718079790294203457489532797574299940332512418228389508978628139993049582858012699368712689314190607186980245700457030706333597724496962973073466675448423316469374376485078928193366756579180102731234233049270603135747326479698147917376820816143372979383085914512852764275185976873652775008576828036517054924159790129079495648610152717227002296033093084326126947337345717890994011575664650271001940377875967618646976027335098823885090696428648979253235366510826054357047251763012154181582627417639881442541476626060986577681793229891357141962675909312376822000654277526544441611389077684903982977441807715208552189148591766114378574068586004492899029325576717704868822052298933920191775029318479687908914605660076655359878671053688625504138763132578504883468997824129356695587442559814196345160926318769175945301553118158781597706630946501409943124162861366506615835254515838977679390372190393582802159210270872823355873088182637992757271252323631690335481621380316555740255902033263532131502951956107962266539229225534254259004316431621793886281003567507114677960078015371740878099577028569804807398435361684462487700662646432616839375433079226809643458236298136385970336708435317169828793452906786861853494286757769953847514159638072664147220104204707019992068427367145809707312936648131621826927054599902163658445684968637712528269441880881097630196116623957069981175573335521174279449337941031372}
19700  92805894983999209088171284052677489340122817423913452325339188966881535: {59091,255931,373939,433114,669154,1102472,1240281,1454914,1476525,1574960,1771830,1889952,1901491,2018491,2046824,2126196,2302677,3068251,3247365,3463856,3490402,3764851,3880699,3896838,3958594,4112179,4343371,4458859,4821845,4971034,5265259,5380171,5437402,5495011,5786214,6068131,6135874,6523354,6888350,7095211,7451674,7683394,8266020,8342611,8817088,8839834,8851516,8906731,8916802,9142365,9356731,9378274,9751856,9762394,9840500,9919224,9992674,10452802,10529434,10718332,10759234,10912354,10970838,11159127,11700331,11808600,11811139,11906074,11973549,12032539,12058714,12287554,12595840,13135219,13284675,13793371,14170320,14254225,14643802,14884531,15022402,15115008,15207272,15324994,15778402,15941610,16608154,16909402,17004384,17045251,17105070,17108181,17285602,17635917,17677852,17736514,17961754,18139516,18245408,18411802,18600892,18711514,18859219,18861274,19051509,19071259,19129932,19388779,19811131,20443516,20526084,20727874,20757211,20903452,21323074,22065634,22740316,23045299,23545954,23607944,23619802,23971291,24278659,24413205,24572572,24651994,24871165,25166914,25468424,25603099,26040752,26170005,26412091,26558937,26814859,27015811,27116179,27291802,27816739,27914672,28021402,28410145,28414411,28458394,28613059,28651977,29295846,29765914,29845398,29897251,30109544,30974371,31266619,31284802,31404006,31645402,31849171,32018205,32042779,32365402,32887304,33198379,33389971,33873237,33993869,34092174,34152752,34229914,34628299,34736264,35195731,35290051,35300674,35666611,36225754,36998217,37289794,37439539,37901779,38067802,38421846,38545891,39078297,39277699,39547714,39550939,39732739,40185979,40442677,40637419,40768005,41266411,42109064,42641692,43028072,43195217,43485872,43678605,43737154,44003001,44260365,44315894,44358451,44982754,45139291,45312019,45484459,45672514,45742579,46000051,46085731,46171339,46429402,46456221,46590512,47086972,47211056,47277691,47372697,47614472,47732194,47868994,48120451,48406581,48483802,48530024,48562670,48756634,48921606,49453891,49701859,50113699,50181532,50768899,51013411,51538402,51943516,52212802,52384525,52414326,52546939,52818394,53112438,53502091,53566281,53692617,53806809,53958754,54159514,54218885,54368539,54525139,54560602,54596277,54915379,55305025,55844611,55870365,56225602,56253981,56305339,56822554,56839579,56915611,56955034,57219802,57445819,57528086,57556389,57946594,58122331,58210402,58275204,58346539,58421131,58495651,58605634,59131714,59310619,59531371,59595056,59787874,60250012,60335251,60697771,60831134,61143789,61345771,61486402,61876834,62412811,62418652,62526274,62861430,63045259,63109402,63308420,63394099,63463651,63691234,63879451,63948499,64013914,64055725,64078402,64580092,64635019,64911464,65062662,65123805,65785579,65919571,65941594,66366030,66389314,66518971,66562617,66651379,66708634,66855405,66969025,67044438,67052192,67570171,67765219,67854874,68217811,68474851,68538931,69048979,69185602,69248794,69465392,69867979,70330472,70418469,70790432,71004189,71021212,71231624,71312432,71325154,71448316,71651131,71700802,71832139,72013402,72549691,72790225,72845611,73025397,73099598,73153852,73195365,73198339,73373731,73570402,73579516,73880602,74526451,74808802,74830472,75092011,75372091,75433716,75970104,76146739,76347802,76647405,76866870,77137437,77205274,77282251,77388739,77455550,77632834,77653699,77916859,78075056,78126091,78148566,78334171,78371805,78592651,78946365,79032154,79121781,79456354,79639236,79708579,79725401,79808299,79940194,80105731,80135577,80226486,80302402,80362714,80362830,80449459,80789659,80837971,81174139,81205402,81445594,81694821,81745474,81757232,81971769,81991328,82032316,82164634,82182980,82253851,82344034,82451932,82463554,82711411,82756771,82954101,83000602,83206411,83428531,83596592,84184281,84209456,84248674,84427099,84781402,84849379,84932971,85017754,85462517,85466367,85469299,85672339,85720352,85993459,86152291,86249397,86505451,86699131,86899354,86901620,87043219,87133402,87306811,87348270,87603739,87677251,87834438,88148059,88296316,88648474,88676179,88882891,89517634,89781019,90068731,90226051,90412365,90440600,90555874,90565819,90626659,90958234,90984405,91073779,91130434,91305619,91417114,91448179,91672531,91919419,91973491,91976886,92103514,92240244,92331802,92574619,92650219,92686472,92780121,92946660,93044705,93090211,93113971,93137659,93171488,93573224,93640579,93696154,93979234,94046166,94329619,94407811,94495516,94503931,94544194,94672411,94735638,94887979,95042851,95093179,95163802,95203101,95272171,95303779,95412139,95531659,95560819,95716051,95729731,95836579,96000379,96035097,96048331,96174259,96249859,96321931,96371251,96380899,96435396,96439856,96464491,96508411,96582931,96598699,96651619,96765451,96817291,96848611,96877101,96960499,96974539,96986779,97008811,97015939,97021411,97022059,97050032,97066714,97998344,98509402,98619576,98835401,99006274,99143104,99336802,99896277,...,12000200020416144701375950395060359192401041789556450347141474348102875633368980316327700929942231153669999139874073758443616063411572775170127440563549042912328212477996926221814928910882961276154150099897810061815220174279358418684313238549261836051322791091643910100087610682957636780156323518492425602245710843419465816050287493172502014079839963575879951399887260120710158005994611455082723084455901491787403504906472195360358348666566121027363293948026673573501535431255311899138332205534772136477857472288688661893168248958843943772343276484057699961666537323534015532278168776378800308157887734315821804731346531097062578620585719168735462879280093021531344289533846655193148929675235147024633271930855732611826717406873092402352041372709776451090691934553401652560836393214387567039938645061583219014715975477866399416965173996690534066878027259135495907953065793856061393732786561761195340284850282463905647744970266444789673079860550126084277621622114352652354301004325161417910986141480174797626673378229277325692142190438254129948294241937348148865242323007033725597431099334236083167922141179905127841970510841028833859702843434638261795402992752250226027196817452085070079282623905723665529883452782740358430039024515285750536408569298842520673229788758650867773562110495636623526074869916252220471430563560738108303717624581665328400162678557525992448765298639147561427732756904843563523667542738134434125321546534437366079809725390731071264436057555445877737864012833229699414973872615517387876301754833051532746691283680360139241156932851528165125306754729504571019596151231735247716718392764731352510427329701537898891025919854388696706573501068885659064681221780113790611252178259330699123352557623143549468075056985577119685441305186234299196361449910498768627342584263467942209989574374287019049053069033971285910780470368550685546059500396586745444459610200013172634974704061564727618392290050134868770154096851349573905904703620989719547221876065231224215059469074628871769279146412778965310479162512865242054775582386239685193619243472915229075840503444049639626489190421006018576836491017363496975406502910566813951427970464041002648235827636044642973468879853049766239081535570877644518231272373941126459822163812214939091479866522689844837035712944013863968565233000981416289816662417083616527355974466162711572812828283722887649171567861102879006739348543988365076557303233078448400880287662543977719531863371908490114983039818006580532938256208144698867757325203496736194035043381163839721294517741389478153763917952329677238172396559946419752114914686244292049759923752881773758466519085558285590374203238815406309235033809632273956989135906878485447535503222432070474833610383853049895298197254427934161943399808843838301381388506474647432690829421505351260672016940117023057611317149365542854707211097653042526693731550993969648925259063149618840214465187354447204578955505062652975754743190179360180292780241430136654930771271239457108996220830156307060529988102641050718714560969404972197432740390581899853245487668527452956568792404162821321646445294174935935604971763360003281761419174006911547058}
19701  93168452795179835587306002074169470673463369938869042946329415228504250: {39398,78788,649671,964663,1003731,1378090,1653708,1790971,1968700,2182371,2362440,2519936,2558530,2657745,2834928,3030874,3070236,3189294,4329820,5195784,5235603,5845257,5937891,6271859,7456551,7687451,7714952,8156103,8532874,8679321,9203811,9785031,10332525,11021360,11064395,11177511,11525091,12189820,12300625,12399030,13225632,13259751,13277274,13306363,13375203,13397915,14067411,14195242,14627784,14643591,14760750,14878836,14989011,15679203,15744800,15794151,15964732,16077498,16138851,16368531,16456257,17712900,17859111,18088071,18431331,18893760,19009090,20138443,20153344,20656951,21255480,21965703,22097315,22284871,22533603,22672512,22674395,22785658,22806760,22810908,22987491,23049191,23251115,23514556,23667603,23912415,24334211,24425338,24912231,25364103,25402012,25506576,25554395,25657605,25928403,26129315,26345851,26516778,26604771,26942631,27197683,27209274,27368112,27617703,27901338,28067271,28184519,28291911,28425395,28694898,28776391,29424103,29466371,29509930,29883658,30394231,30665274,30715715,30789126,31091811,31355178,31835530,31984611,32027699,32550940,33098451,33624011,34080442,34110474,34893340,35318931,35411916,35429703,35610563,36845431,36858858,36977991,37080619,37595891,37636930,37649563,37750371,38050138,38202636,39061128,39793864,39862771,40715431,40766698,40937703,41109130,41309674,41662663,41872008,42032103,42303274,42463771,42687591,42690940,43420330,43544531,43943769,44243971,44348011,44648871,44768097,45164316,45347458,45456232,45477371,45899971,46927203,47106009,47468103,48164231,48548103,48580963,48599111,48669538,49330956,49868291,50418043,50543723,51138261,51229128,51344871,51402931,51613063,52104396,52145674,52443274,52636330,52653658,52905082,52951011,53302115,53425411,53785090,54338631,54357340,54937091,55481218,55934691,56034439,56202311,56797531,57101703,57323459,57466739,57632769,58238140,58670668,58858715,59013820,59321571,59518090,60434938,60662530,60782218,60927451,61539163,61573691,61808938,61941628,62327671,62398378,62726915,63163596,63962538,64094843,64542108,64583818,64929395,65228808,65348471,65476663,65605731,65826874,66295559,66473841,66620531,67063939,67460074,67474131,67553651,68168423,68315674,68406091,68508771,69376642,69644103,69885768,70630458,70816584,71215498,71414579,71421708,71466163,71537578,71590156,71598291,71729722,71742412,71803491,72182938,72725703,72795036,72844005,73134951,73147018,73382409,73665223,73668251,73683274,74236259,74493820,75005308,75084563,75272298,75312515,76177258,76346471,76624378,76741852,76906498,76940791,77307603,77349571,77676874,77700272,77915274,78023315,78059239,78319203,78621489,79135525,79227591,79259578,79668657,80725115,80938131,80993819,81063082,81100663,81139330,81239271,81525052,81840903,81876571,81982919,82588979,82920611,82973698,83815240,84159079,84338403,84384874,84876563,84918778,85083779,85233831,85322842,85432551,85586698,85748551,85779011,85829703,86265994,86292129,86750216,86831291,86831740,86919891,87315603,87412806,87908451,87913090,88488040,88697571,88750156,88776515,89020339,89039530,89140540,89310395,89350474,89392584,89681811,90375018,90412234,90785578,91246701,91306919,91442315,91974395,92229603,92259803,92360218,92688131,92815251,92818091,93538090,93627978,93789411,93891292,94292145,94362778,94664103,94672252,94962630,95135443,95536851,95780423,96020871,96117603,96586571,96870138,97167658,97367196,97593820,97593993,98024194,98568871,98596919,98912391,99435178,99549045,99583971,99822658,...,18000300030624217052063925592590538788601562684334675520712211522154313450053470474491551394913346730504998709811110637665424095117359162755191160845323564368492318716995389332722393366324441914231225149846715092722830261419037628026469857823892754076984186637465865150131416024436455170234485277738638403368566265129198724075431239758753021119759945363819927099830890181065237008991917182624084626683852237681105257359708293040537522999849181541044940922040010360252303146882967848707498308302158204716786208433032992839752373438265915658514914726086549942499805985301023298417253164568200462236831601473732707097019796645593867930878578753103194318920139532297016434300769982789723394512852720536949907896283598917740076110309638603528062059064664676636037901830102478841254589821581350559907967592374828522073963216799599125447760995035801100317040888703243861929598690784092090599179842641793010427275423695858471617455399667184509619790825189126416432433171528978531451506487742126866479212220262196440010067343915988538213285657381194922441362906022223297863484510550588396146649001354124751883211769857691762955766261543250789554265151957392693104489128375339040795226178127605118923935858585498294825179174110537645058536772928625804612853948263781009844683137976301660343165743454935289112304874378330707145845341107162455576436872497992600244017836288988673147947958721342141599135357265345285501314107201651187982319801656049119714588086096606896654086333168816606796019249844549122460808923276081814452632249577299120036925520540208861735399277292247687960132094256856529394226847602871575077589147097028765640994552306848336538879781583045059860251603328488597021832670170685916878267388996048685028836434715324202112585478365679528161957779351448794542174865748152941013876395201913314984361561430528573579603550956928866170705552826028319089250594880118166689415300019758952462056092347091427588435075202303155231145277024360858857055431484579320832814097846836322589203611943307653918719619168447965718743769297863082163373579359527790428865209372843613760755166074459439733785631509027865254736526045245463109754365850220927141955696061503972353741454066964460203319779574649358622303356316466777346908560911689689733245718322408637219799784034767255553569416020795952847849501472124434724993625625424791033961699244067359219242425584331473757351791654318510109022815982547614835954849617672601320431493815966579297795057862735172474559727009870799407384312217048301635987805245104291052565071745759581941776612084217230645876928494515857258594839919629628172372029366438074639885629322660637699778628337428385561304858223109463852550714448410935483703860317728171303254833648105712250415575779574842947295881641901242915099713265757452072082759711971149036244132258026891008025410175534586416975724048314282060816646479563790040597326490954473387888594724428260321697781031670806868433257593979463632114785269040270439170362145204982396156906859185663494331245234460590794982153961576078071841454107458296149110585872849779868231502791179434853188606244231982469667941262403903407457645040004922642128761010367320587}
19702  93532416954285938843245978638539525698262475381133875153996675538439614: {59097,98485,118182,511862,747878,806101,866228,1338308,2067135,2204944,2460875,2480562,2563801,2909828,2913397,2953050,3149920,3543660,3779904,3802982,3837795,4036982,4093648,4252392,4536277,4546311,4605354,4651657,4783941,5227477,5412275,5457301,6030601,6136502,6494730,6750583,6927712,6980804,7399177,7529702,7739701,7761398,7793676,7917188,8224358,8531737,8686742,8917718,9432601,9643690,9942068,9993301,10530518,10760342,10775257,10874804,10990022,11572428,12136262,12271748,12799311,13046708,13319701,13776700,14086537,14190422,14903348,15237275,15366788,16258057,16532040,16685222,17440117,17634176,17679668,17703032,17813462,17833604,17867797,18187801,18284730,18400777,18598545,18713462,18756548,19249801,19503712,19524788,19681000,19838448,19915911,19955915,19985348,20619637,20905604,21058868,21292863,21436664,21518468,21560857,21824708,21873301,21941676,22141125,22318254,23219737,23400662,23617200,23622278,23734357,23812148,23939701,23947098,24065078,24116247,24117428,24575108,24962101,25165717,25191680,26179477,26270438,26482201,26569350,27486601,27586742,28185397,28284937,28340640,28483801,28508450,28513635,28682377,29177557,29287604,29393195,29769062,30044804,30230016,30414544,30649988,30945301,31556804,31752515,31883220,32400601,33216308,33818804,34008768,34030357,34090502,34178487,34210140,34216362,34571204,34819631,34979317,35271834,35355704,35473028,35923508,36279032,36490816,36638007,36823604,37201784,37412917,37423028,37718438,37722548,38103018,38142518,38259864,38703157,38777558,39622262,39774203,39775167,40160437,40688675,40792201,40813911,40887032,41052168,41241301,41455748,41514422,41688601,41806904,41852007,42646148,43042347,43616675,43635337,44131268,44160217,44264895,44595637,44825487,45200639,45480632,45997911,46090598,46183689,47032767,47091908,47215888,47239604,47339701,47593177,47753295,47795891,47942582,48433417,48557318,48826410,49145144,49266457,49303988,49742330,50092297,50256601,50333828,50666101,50936848,51120663,51165711,51206198,51236377,52081504,52340010,52824182,52926037,53085301,53117874,53363675,53482201,53629718,54031622,54232358,54583604,55288287,55633478,55829344,56042804,56056597,56455395,56820290,56828822,56916788,57075207,57226118,57303954,58591692,59219701,59531828,59690796,59794502,60173017,60219088,60681301,61150047,61663695,61758601,61948742,61964511,61972117,62533238,62569604,62808012,63029977,63290804,63454911,63656917,63698342,64036410,64085558,64346677,64730804,65130495,65435317,65570101,65771737,65774608,66106357,66396758,66779942,67033717,67746474,67946675,67987738,68021187,68184348,68305504,68459828,69256598,69472528,69981397,70391462,70580102,70601348,70848277,71032201,71333222,72241801,72420757,72451508,72717577,72797675,72835801,72953737,73004307,73338335,73539097,73767275,73996434,74289301,74579588,74879078,74970997,75803558,75906439,76135604,76139017,76629877,76843692,77061301,77091782,77221897,77427035,78156594,78218511,78555398,78664911,78954495,78980487,79095428,79101878,79357623,79402201,79465478,79553077,79753237,80371958,80639701,80677635,80885354,80978137,81122101,81274838,81455497,81536010,81738457,82065301,82296601,82532822,82617397,82889557,83221827,83734297,84218128,85056757,85283384,85631317,86056144,86152201,86349301,86390434,86466697,86814997,86853337,86971744,87119701,87232777,87357210,87474308,87494101,87605017,87678601,87751897,88006002,88398601,88520730,88631788,88678537,88716902,88987957,89157337,89277135,89487695,89678015,89965508,90072601,90167317,90278582,90624038,90652407,90968918,90993795,91173327,91195477,91282201,91345028,91485158,91510297,91706101,91788937,91898377,91925557,92000102,92171462,92342678,92376601,92713407,92806837,92858804,92912442,93117275,93181024,93239701,93309577,93597567,93756635,93866677,93909301,94056217,94173944,94378777,94417801,94422112,94555382,94608601,94745394,95003017,95020117,95228944,95331337,95464388,95499637,95715097,95737988,95836597,95927315,95943807,95977177,96038197,96240902,96253657,96264277,96336601,96582517,96622297,96667657,96750601,96811801,96813162,96850357,96865801,96875727,96903817,96912601,96933301,96941077,96944857,96952201,96967604,96990217,97042201,97060048,97125340,97513268,97843212,98740311,98907782,99403718,...,24000400040832289402751900790120718384802083579112900694282948696205751266737960632655401859884462307339998279748147516887232126823145550340254881127098085824656424955993852443629857821765922552308300199795620123630440348558716837368626477098523672102645582183287820200175221365915273560312647036984851204491421686838931632100574986345004028159679927151759902799774520241420316011989222910165446168911802983574807009812944390720716697333132242054726587896053347147003070862510623798276664411069544272955714944577377323786336497917687887544686552968115399923333074647068031064556337552757600616315775468631643609462693062194125157241171438337470925758560186043062688579067693310386297859350470294049266543861711465223653434813746184804704082745419552902181383869106803305121672786428775134079877290123166438029431950955732798833930347993381068133756054518270991815906131587712122787465573123522390680569700564927811295489940532889579346159721100252168555243244228705304708602008650322835821972282960349595253346756458554651384284380876508259896588483874696297730484646014067451194862198668472166335844282359810255683941021682057667719405686869276523590805985504500452054393634904170140158565247811447331059766905565480716860078049030571501072817138597685041346459577517301735547124220991273247052149739832504440942861127121476216607435249163330656800325357115051984897530597278295122855465513809687127047335085476268868250643093068874732159619450781462142528872115110891755475728025666459398829947745231034775752603509666103065493382567360720278482313865703056330250613509459009142039192302463470495433436785529462705020854659403075797782051839708777393413147002137771318129362443560227581222504356518661398246705115246287098936150113971154239370882610372468598392722899820997537254685168526935884419979148748574038098106138067942571821560940737101371092119000793173490888919220400026345269949408123129455236784580100269737540308193702699147811809407241979439094443752130462448430118938149257743538558292825557930620958325025730484109551164772479370387238486945830458151681006888099279252978380842012037153672982034726993950813005821133627902855940928082005296471655272089285946937759706099532478163071141755289036462544747882252919644327624429878182959733045379689674071425888027727937130466001962832579633324834167233054711948932325423145625656567445775298343135722205758013478697087976730153114606466156896801760575325087955439063726743816980229966079636013161065876512416289397735514650406993472388070086762327679442589035482778956307527835904659354476344793119892839504229829372488584099519847505763547516933038171116571180748406477630812618470067619264547913978271813756970895071006444864140949667220767706099790596394508855868323886799617687676602762777012949294865381658843010702521344033880234046115222634298731085709414422195306085053387463101987939297850518126299237680428930374708894409157911010125305951509486380358720360585560482860273309861542542478914217992441660312614121059976205282101437429121938809944394865480781163799706490975337054905913137584808325642643292890588349871871209943526720006563522838348013823094116}
19703  93897792877821438665430965161721004977846935305303317956669306879051051: {78796,157576,177273,767793,1082785,1121817,1299342,1672885,1929326,2007462,2381401,2756180,3307416,3581942,3637285,3720843,3937400,4364742,4429575,4724880,5039872,5117060,5315490,5669856,5704473,6055473,6061748,6140472,6378588,6704401,6908031,7412197,8591857,8659640,8726005,9204753,9742095,9896485,10391568,10471206,11294553,11642097,11690514,11875782,12336537,12427585,12543718,13030113,13376577,13593505,14465535,14913102,15339685,15374902,15429904,15490153,15795777,16140513,16308385,16312206,16485033,17065748,17220875,17358642,17903017,18204393,18407622,18629185,18757081,19191337,19208485,19570062,20665050,21285633,22042720,22099585,22128790,22292005,22355022,23050182,23445685,23480017,24379640,24405985,24601250,24798060,24981685,25027833,26132005,26323585,26451264,26519502,26554548,26612726,26720193,26750406,26795830,26898085,27239953,27280885,27427095,27659833,28070193,28134822,28390484,28758613,29255568,29287182,29521500,29650261,29757672,29765185,29896537,29978022,30146785,30718885,30936241,31358406,31489600,31588302,31744153,31929464,32021497,32030977,32154996,32277702,32457601,32551561,32737062,32912514,33308977,33477381,34289833,34823893,35100993,35425800,35433417,35718222,35776153,35920647,36097617,36176142,36276181,36581041,36609505,36862662,37410673,37556005,37579777,37787520,37850917,38018180,38312485,39405657,39446005,39795553,39800041,39854025,40276886,40306688,40362577,40971601,41313902,41380113,41520385,42018937,42227881,42273505,42510960,42610357,42762675,43002001,43214005,43316281,43689673,43931406,44194630,44341285,44569742,44653593,44904385,45067206,45345024,45348790,45571316,45613520,45621816,45974982,46029505,46098382,46377913,46502230,46778785,47029112,47153185,47335206,47419657,47757457,47824830,48667417,48668422,48831073,48850676,49027297,49064497,49824462,50728206,50804024,51013152,51108790,51135753,51315210,51324543,51819685,51856806,52258630,52691702,52907751,53033556,53209542,53307685,53676601,53885262,54029497,54342481,54395366,54418548,54736224,55047973,55070101,55164085,55235406,55802676,56134542,56208097,56369038,56577657,56583822,56850790,57114313,57154527,57213777,57389796,57435313,57472657,57552782,57894001,58166337,58458577,58848206,58864885,58932742,58935253,59019860,59049505,59359801,59433393,59767316,60139393,60788462,61276801,61330548,61431430,61578252,61579993,61629985,62183622,62271633,62472577,62710356,62917285,63429337,63671060,63969222,64055398,64467061,64925653,65101880,65268661,66196902,66302401,66420913,66721897,66932737,67189273,67248022,67915237,68160884,68220948,68229505,68515177,69135897,69539233,69786680,69870313,70053505,70479217,70637862,70823832,70859406,71145985,71221126,71913873,72689401,72835977,73239615,73690862,73717716,73784233,73955982,74161238,74243857,74414785,74613495,74622961,74898217,75191782,75273860,75299126,75500742,75743413,75746101,76100276,76346017,76405272,76809297,77387881,77434081,77618353,78122256,78212005,78349297,78510015,79013161,79113505,79236273,79265857,79356001,79587728,79676811,79725542,79836133,80285617,80444577,80913505,81047433,81348537,81348817,81430862,81533396,81751093,81875406,81943777,82218260,82402201,82597657,82619348,83325326,83450217,83744016,83918041,84064206,84292297,84606548,84762001,84885301,84927542,84944737,85230435,85243233,85375182,85381880,85574785,85615177,85839177,85955931,86840233,86840660,87089062,87382357,87817681,87887538,88251685,88277473,88487942,88696022,88793941,88829257,89169481,89297742,89536194,89691753,89963353,90328632,90564385,90694916,90901153,90912464,90954742,91730617,91799942,92675977,92923113,93224485,93347833,93799857,93800377,93854406,94212018,94472401,94483057,94656073,94862041,94936206,95169505,95547513,96054615,96128337,96328462,97046737,97096206,97161926,97198222,97339076,97520401,97605157,97836517,98661912,98869285,99027217,99595137,99736582,99794953,...,36000600061248434104127851185181077577203125368669351041424423044308626900106940948983102789826693461009997419622221275330848190234718325510382321690647128736984637433990778665444786732648883828462450299693430185445660522838075256052939715647785508153968373274931730300262832048872910340468970555477276806737132530258397448150862479517506042239519890727639854199661780362130474017983834365248169253367704475362210514719416586081075045999698363082089881844080020720504606293765935697414996616604316409433572416866065985679504746876531831317029829452173099884999611970602046596834506329136400924473663202947465414194039593291187735861757157506206388637840279064594032868601539965579446789025705441073899815792567197835480152220619277207056124118129329353272075803660204957682509179643162701119815935184749657044147926433599198250895521990071602200634081777406487723859197381568184181198359685283586020854550847391716943234910799334369019239581650378252832864866343057957062903012975484253732958424440524392880020134687831977076426571314762389844882725812044446595726969021101176792293298002708249503766423539715383525911532523086501579108530303914785386208978256750678081590452356255210237847871717170996589650358348221075290117073545857251609225707896527562019689366275952603320686331486909870578224609748756661414291690682214324911152873744995985200488035672577977346295895917442684283198270714530690571002628214403302375964639603312098239429176172193213793308172666337633213592038499689098244921617846552163628905264499154598240073851041080417723470798554584495375920264188513713058788453695205743150155178294194057531281989104613696673077759563166090119720503206656977194043665340341371833756534777992097370057672869430648404225170956731359056323915558702897589084349731496305882027752790403826629968723122861057147159207101913857732341411105652056638178501189760236333378830600039517904924112184694182855176870150404606310462290554048721717714110862969158641665628195693672645178407223886615307837439238336895931437487538595726164326747158719055580857730418745687227521510332148918879467571263018055730509473052090490926219508731700441854283911392123007944707482908133928920406639559149298717244606712632933554693817121823379379466491436644817274439599568069534511107138832041591905695699002944248869449987251250849582067923398488134718438484851168662947514703583308637020218045631965095229671909699235345202640862987631933158595590115725470344949119454019741598814768624434096603271975610490208582105130143491519163883553224168434461291753856989031714517189679839259256344744058732876149279771258645321275399557256674856771122609716446218927705101428896821870967407720635456342606509667296211424500831151559149685894591763283802485830199426531514904144165519423942298072488264516053782016050820351069172833951448096628564121633292959127580081194652981908946775777189448856520643395562063341613736866515187958927264229570538080540878340724290409964792313813718371326988662490468921181589964307923152156143682908214916592298221171745699559736463005582358869706377212488463964939335882524807806814915290080009845284257522020734641174}
19704  94264586003003741864242246680973112624710565645769997503021974751595042: {98495,118194,137879,196970,236364,334679,452663,845423,1023724,1495756,1612202,1732456,1949013,1979903,2096879,2486279,2676616,2893989,2952503,3011193,3185183,3378863,3445225,3842879,4134270,4409888,4421279,4536743,4690583,4921750,4961124,4997879,5112983,5127602,5266343,5372913,5381279,5457863,5496143,5819656,5826794,5906100,6069383,6145679,6299840,6396325,6412463,6547113,7087320,7559808,7577185,7605964,7675590,7973235,8073964,8187296,8306663,8504784,8983679,9072554,9092622,9210708,9303314,9433583,9567882,9994343,10031663,10367183,10454954,10478879,10776383,10824550,10914602,11776679,12035063,12061202,12273004,12440303,12807863,12989460,13137983,13501166,13855424,13961608,14342879,14798354,14887679,15059404,15479402,15522796,15587352,15706809,15834376,16448716,17048879,17063474,17120423,17373484,17535771,17762879,17813673,17835436,18544583,18815577,18865202,18933983,19287143,19287380,19884136,19986602,20236679,20761679,21061036,21332185,21354503,21520684,21550514,21563183,21749608,21875663,21979679,21980044,22222103,22369653,22602263,23062353,23144856,23531279,23771183,23976503,24044879,24272524,24468309,24543496,25598622,26037963,26093416,26417879,26485103,26518703,26639402,26820743,26988263,27088679,27189023,27553400,27611433,27689663,27938281,28173074,28380844,28486943,28685543,29081879,29355093,29411279,29806696,29903879,30002183,30474550,30733576,30981263,30997575,31143743,31370879,31953143,32243303,32516114,32597063,33064080,33193185,33301679,33370444,33461279,33532533,34034183,34575273,34880234,35268352,35359336,35360879,35406064,35488105,35626924,35667208,35735594,36375602,36569460,36673463,36801554,36901875,37197090,37426924,37448063,37513096,37787303,38499602,38615879,38707583,38829743,39007424,39049576,39073679,39362000,39620663,39676896,39779253,39831822,39832679,39911830,39919089,39970696,40125609,40193745,40195223,41096543,41150473,41186279,41239274,41275943,41693423,41811208,42117736,42202233,42227879,42585726,42612263,42873328,43036936,43121714,43318343,43649416,43746602,43883352,43930773,44282250,44453521,44636508,44967033,45293879,45380183,45495143,45581279,45667343,45810623,46068023,46439474,46495583,46801324,46864679,47006279,47037609,47234400,47244556,47345303,47373503,47382453,47468714,47522725,47624296,47795543,47879402,47894196,48130156,48187823,48232494,48234856,48416553,48967679,49105593,49150216,49368771,49520879,49603583,49924202,50125703,50262623,50331434,50383360,51970679,52358954,52540876,52964402,53038679,53138700,53418937,53488703,53515103,53567879,53577333,53752343,54264213,54434063,54694823,54973202,55058543,55173484,55293993,56370794,56486053,56569874,56681280,56853623,56929679,56964145,56967602,57016900,57027270,57364754,57886823,58061879,58136783,58186679,58355114,58361063,58435679,58510223,58575208,58786390,58857143,59177879,59538124,59619743,60034679,60089608,60398879,60415329,60460032,60471503,60713063,60829088,61063345,61299976,61409063,61718879,61837679,61890602,61970853,62003663,62145623,62428679,63061343,63113608,63479879,63505030,63766440,64583303,64801202,64856279,65241023,65466263,65601023,65713103,65802623,65897109,66291945,66432616,66536279,66854613,67042463,67239383,67304879,67600809,67637608,67782983,68017536,68020583,68023185,68060714,68181004,68356974,68420280,68432724,68599679,68962473,69130679,69142408,69147573,69299543,69446879,69509903,69639262,69698543,69753345,69928223,69958634,70011503,70239863,70425983,70543668,70711408,70734743,70946056,71002809,71670383,71710679,71737245,71847016,72151823,72311279,72558064,72865343,72904679,72981632,73002633,73042103,73100879,73198679,73257263,73276014,73393679,73647208,73723343,73774825,74012303,74261279,74403568,74603783,74709145,74736693,74825834,74846056,74924879,74981303,75112679,75150143,75436876,75445096,76092309,76094663,76167863,76206036,76285036,76313879,76368503,76519728,76663185,76972815,77072063,77406314,77555116,77785209,77973743,78182879,78356279,78387945,78390863,79037553,79177463,79244524,79379879,79430303,79548406,79550334,79588825,79764623,79814313,80128679,80161583,80320874,80505143,80570183,80651303,80812943,80827893,80861279,81377350,81419879,81584402,81593049,81624863,81627822,81774064,81859703,82077263,82104336,82277879,82308623,82482602,82853109,82911496,82916783,83028844,83081783,83364503,83377202,83613808,83704014,83848679,84065879,84180983,84201813,84352679,84553557,84608063,84706679,84875733,84916679,84958463,85201105,85276185,85292296,85966343,86084694,86178503,86329173,86336279,86879423,87133103,87145703,87233350,87270674,87358679,87519983,87630863,87704423,88127783,88246943,88262536,88272309,88320434,88399113,88529790,88622879,88704023,88830743,88876583,88933703,89191274,89249879,89504903,89603543,89636279,89650974,89766503,89906279,89959679,89991623,90065879,90097583,90275879,90307103,90401278,90462143,90706463,90961264,91182693,91297103,91421279,91562879,91721183,91748879,91813223,91949783,91995822,92003903,92021879,92147145,92181196,92367378,92503679,92529263,92920679,93017783,93145463,93161279,93184943,93275433,93356279,93946679,94030823,94051679,94065534,94092325,94183816,94401743,94431776,94440743,94453679,94479208,94631423,94679402,94687223,94814903,94915679,95042663,95076623,95087879,95125345,95127023,95186354,95306279,95348423,95426063,95506590,95591782,95609879,95681279,95805263,95840879,95885164,95953833,95998943,96031679,96083097,96091679,96198863,96217343,96250103,96285743,96357983,96404183,96482783,96500903,96550679,96600863,96640703,96671279,96688583,96731279,96830543,96849383,96860303,96866834,96884663,96886343,96889679,96909023,96945623,96998903,97004783,97018223,97037879,97056863,97059503,97060679,97061543,97114636,97652820,98290288,98532914,98607976,99295353,99484660,...,54000900091872651156191776777771616365804688053004026562136634566462940350160411423474654184740040191514996129433331912996272285352077488265573482535970693105476956150986167998167180098973325742693675449540145278168490784257112884079409573471678262230952559912397595450394248073309365510703455833215915210105698795387596172226293719276259063359279836091459781299492670543195711026975751547872253880051556713043315772079124879121612568999547544623134822766120031080756909440648903546122494924906474614150358625299098978519257120314797746975544744178259649827499417955903069895251759493704601386710494804421198121291059389936781603792635736259309582956760418596891049302902309948369170183538558161610849723688850796753220228330928915810584186177193994029908113705490307436523763769464744051679723902777124485566221889650398797376343282985107403300951122666109731585788796072352276271797539527925379031281826271087575414852366199001553528859372475567379249297299514586935594354519463226380599437636660786589320030202031747965614639856972143584767324088718066669893590453531651765188439947004062374255649635309573075288867298784629752368662795455872178079313467385126017122385678534382815356771807575756494884475537522331612935175610318785877413838561844791343029534049413928904981029497230364805867336914623134992121437536023321487366729310617493977800732053508866966019443843876164026424797406071796035856503942321604953563946959404968147359143764258289820689962258999506449820388057749533647367382426769828245443357896748731897360110776561620626585206197831876743063880396282770569588182680542808614725232767441291086296922983656920545009616639344749135179580754809985465791065498010512057750634802166988146055086509304145972606337756435097038584485873338054346383626524597244458823041629185605739944953084684291585720738810652870786598512116658478084957267751784640354500068245900059276857386168277041274282765305225606909465693435831073082576571166294453737962498442293540508967767610835829922961756158857505343897156231307893589246490120738078583371286595628118530841282265498223378319201356894527083595764209578135736389329263097550662781425867088184511917061224362200893380609959338723948075866910068949400332040725682735069069199737154967225911659399352104301766660708248062387858543548504416373304174980876876274373101885097732202077657727276752994421272055374962955530327068447947642844507864548853017803961294481447899737893385173588205517423679181029612398222152936651144904907963415735312873157695215237278745825329836252651691937630785483547571775784519758888884517116088099314223919656887967981913099335885012285156683914574669328391557652143345232806451111580953184513909764500944317136751246727338724528841887644925703728745299139797272356216248279135913447108732396774080673024076230526603759250927172144942846182449939438691370121791979472863420163665784173284780965093343095012420605299772781938390896344355807120811317511086435614947188470720577556990482993735703381772384946461884728234215524362322374888447331757618549339604694508373538304559565818732695947409003823787211710222372935120014767926386283031101961761}
19705  94632801787842391116911165923004004607774860864369229426561445390399915: {157592,177291,295455,315152,354546,1279655,1515899,1535586,1869695,2165570,2243634,2342039,2418303,2598684,2814383,3345770,3858652,4014924,4762802,5092199,5512360,6201405,6614832,7163884,7274570,7382625,7441686,7691403,7874800,7923383,8729484,8740191,8859150,9449760,9507455,10079744,10092455,10234120,10630980,11339712,11408946,11513385,12110946,12123496,12216407,12280944,12757176,13408802,13608831,13638933,13816062,13855079,13954971,14351823,14824394,15341255,15682431,16236825,16371903,17183714,17319280,17398619,17452010,18091803,18409506,18824255,19030907,19403495,19484190,19792970,20251749,20560895,20783136,20909999,20942412,21158111,21475559,21716855,22197531,22294295,22589106,22680671,22831739,23219103,23284194,23381028,23751564,24109225,24673074,24855170,25087436,25595211,26060226,26080859,26326295,26334887,26753154,26891879,26900855,27187010,27475055,27749111,28297803,28931070,29826204,29979903,30340655,30679370,30749804,30859808,30913931,30939419,30980306,31208807,31591554,32281026,32325771,32460923,32616770,32624412,32823959,32923511,32970066,33138527,34131496,34168379,34441750,34717284,34974359,35019083,35332271,35476055,35618651,35806034,36408786,36584807,36815244,36853019,37258370,37514162,37657319,37854791,38100287,38193239,38323931,38358983,38382674,38397933,38416970,39140124,39959103,40543967,41330100,41400623,41499551,41671259,41713055,42205499,42259611,42571266,42806447,43006439,43146203,44085440,44199170,44257580,44533655,44584010,44688911,44710044,44896727,45220043,45711825,46100364,46783655,46891370,46960034,47195867,47762363,48420983,48759280,48774171,48811970,49027103,49202500,49596120,49732811,49963370,50055666,51253307,51481319,52128239,52264010,52320351,52578407,52647170,52902528,53039004,53109096,53225452,53440386,53500812,53591660,53603391,53637479,53796170,53832959,54479906,54561770,54563403,54854190,55202331,55224407,55319666,55795635,56140386,56184599,56269644,56440631,56780968,57517226,57749403,57899963,57941351,58128539,58501655,58511136,58574364,58868039,59043000,59055695,59163599,59182907,59300522,59515344,59530370,59747733,59793074,59867745,59956044,60023039,60162695,60293570,60499607,61437770,61858911,61872482,62077799,62478971,62490203,62716812,62866139,62979200,63176604,63435983,63488306,63858928,63878589,64042994,64061954,64309992,64441307,64555404,64682571,64915202,65103122,65469899,65474124,65490299,65619903,65676095,65825028,65931287,66014459,66343307,66423375,66427751,66523451,66617954,66728783,66954762,67831163,67922231,68420183,68579666,68966855,69647786,69659211,69863999,70201986,70240319,70851600,70866834,71203071,71271125,71436444,71552306,71819103,71841294,72195234,72348741,72352284,72547559,72552362,72868343,72947327,73162082,73219010,73725324,74422655,74630759,74821346,74886303,75112010,75159554,75497151,75575040,75701834,76036360,76624970,77229719,78357383,78538431,78811314,78853151,78881447,78892010,79364123,79446603,79591106,79600082,79674359,79708050,80011199,80553772,80613376,80725154,81182663,81943202,82410839,82459803,82464731,82627804,82669307,82760226,83040770,84037874,84455762,84547010,84556191,84657407,84854811,85021920,85220714,85226255,85451403,85525350,85540905,86004002,86047131,86281979,86428010,86511671,86626811,86632562,87149663,87379346,87532671,87854219,87862812,88084199,88179585,88308827,88389260,88682570,89139484,89173691,89253263,89307186,89454119,89808770,90134412,90227111,90690048,90697580,91142632,91227040,91243632,91644911,91823159,91949964,92059010,92196764,92755826,92835903,93004460,93557570,93677831,94058224,94296095,94306370,94492763,94670412,94839314,94871807,95257545,95356295,95514914,95521307,95649660,96139511,96704399,96943895,97056731,97201803,97334834,97336844,97662146,97701352,97943483,98054594,98074907,98128994,99002639,99055655,99240287,99604379,99648924,...,72001200122496868208255702370362155154406250737338702082848846088617253800213881897966205579653386922019994839244442550661696380469436651020764643381294257473969274867981557330889573465297767656924900599386860370891321045676150512105879431295571016307936746549863460600525664097745820680937941110954553613474265060516794896301724959035012084479039781455279708399323560724260948035967668730496338506735408950724421029438833172162150091999396726164179763688160041441009212587531871394829993233208632818867144833732131971359009493753063662634059658904346199769999223941204093193669012658272801848947326405894930828388079186582375471723514315012412777275680558129188065737203079931158893578051410882147799631585134395670960304441238554414112248236258658706544151607320409915365018359286325402239631870369499314088295852867198396501791043980143204401268163554812975447718394763136368362396719370567172041709101694783433886469821598668738038479163300756505665729732686115914125806025950968507465916848881048785760040269375663954152853142629524779689765451624088893191453938042202353584586596005416499007532847079430767051823065046173003158217060607829570772417956513501356163180904712510420475695743434341993179300716696442150580234147091714503218451415793055124039378732551905206641372662973819741156449219497513322828583381364428649822305747489991970400976071345155954692591791834885368566396541429061381142005256428806604751929279206624196478858352344386427586616345332675266427184076999378196489843235693104327257810528998309196480147702082160835446941597109168990751840528377027426117576907390411486300310356588388115062563978209227393346155519126332180239441006413313954388087330680682743667513069555984194740115345738861296808450341913462718112647831117405795178168699462992611764055505580807653259937446245722114294318414203827715464682822211304113276357002379520472666757661200079035809848224369388365710353740300809212620924581108097443435428221725938317283331256391387345290356814447773230615674878476673791862874975077191452328653494317438111161715460837491374455043020664297837758935142526036111461018946104180981852439017463400883708567822784246015889414965816267857840813279118298597434489213425265867109387634243646758758932982873289634548879199136139069022214277664083183811391398005888497738899974502501699164135846796976269436876969702337325895029407166617274040436091263930190459343819398470690405281725975263866317191180231450940689898238908039483197629537248868193206543951220980417164210260286983038327767106448336868922583507713978063429034379359678518512689488117465752298559542517290642550799114513349713542245219432892437855410202857793643741934815441270912685213019334592422849001662303118299371789183526567604971660398853063029808288331038847884596144976529032107564032101640702138345667902896193257128243266585918255160162389305963817893551554378897713041286791124126683227473733030375917854528459141076161081756681448580819929584627627436742653977324980937842363179928615846304312287365816429833184596442343491399119472926011164717739412754424976927929878671765049615613629830580160019690568515044041469282348}
19706  95002445711218010339889442400745539478327278509930361809357223680386553: {137893,196990,236388,275758,374053,393940,472728,531819,669358,905326,1690846,1902073,2019109,2047448,2136073,2303379,2991512,3185509,3224404,3248355,3365451,3464912,3881893,3898026,3959806,4193758,4344709,4460233,4823315,4972558,5018655,5353232,5381833,5496709,5787978,5905006,6022386,6370366,6757726,6890450,7144203,7211209,7665673,7685758,8268540,8345209,8458213,8796793,8819776,8842558,8954855,9073486,9359653,9381166,9584293,9843500,9922248,9995758,10032709,10225966,10255204,10532686,10608059,10745826,10762558,10911855,10915726,10992286,11162529,11639312,11653588,11812200,11814853,12138766,12291358,12599680,12792650,12824926,13094226,13288725,13797733,13907209,14174640,14889253,15119616,15154370,15211928,15351180,15946470,16147928,16374592,16613326,17009568,17113419,17265253,17967358,18145108,18166419,18185244,18421416,18606628,18867166,19135764,19922953,19988686,20063326,20113203,20724093,20734366,20868709,20909908,20957758,21391609,21552766,21649100,21829204,22236591,22432009,23052793,23553358,23568133,24070126,24122404,24388933,24546008,24880606,25611493,25615726,25775571,25978920,26178015,26275966,26521609,27002332,27024709,27125113,27614259,27710848,27923216,28622533,28685758,29118073,29226285,29596708,29689455,29775358,29865059,29907193,30005509,30118808,30496009,30958804,31045592,31174704,31359295,31374373,31413618,31668752,31859833,31956709,32897432,33305413,33496933,33883659,34097758,34126948,34240846,34746968,34926291,35071542,35302009,35396293,35525758,35627346,35670872,36708709,37009611,37089166,37282755,37544953,37631154,37730404,37867966,38437255,38574286,38574760,39090339,39108613,39768272,39837253,39973204,40129731,40473358,40741573,40780515,41370313,41523358,42122072,42528613,42664370,42709006,43041368,43059109,43101028,43126366,43396605,43499216,43587013,43751326,43959358,43960088,44444206,44739306,45204526,45327973,45586633,46019055,46102009,46124706,46187653,46289712,46470459,47062558,47379109,47387331,47542366,47953006,48089758,48421539,48545048,48925155,48936618,49086992,49455099,49683347,50787193,51197244,51662625,52075926,52186832,52646053,52835758,52970206,53037406,53204233,53278804,53521609,53600773,53641486,53709051,53976526,54177358,54378046,54613179,54701509,54716563,55091209,55106800,55222866,55321975,55379326,55865209,55876562,55887555,56172793,56271243,56346148,56761688,56936713,56973886,57371086,57574011,57625455,58163758,58442953,58517509,58710186,58822558,58889209,59613392,59627209,59807758,60004366,60066553,60358009,60949100,61009573,61467152,61503125,61512313,61869253,61962526,61995150,62287486,62436613,62502319,62741758,63131471,63139333,63487993,63856899,63906286,63973093,64486606,65032228,65194126,66128160,66298755,66386370,66531815,66603358,66740888,66875593,66876015,66922558,66989575,67065066,67856773,68068366,68501893,68566009,68630053,69139813,69150546,69760468,70337055,70440051,70536704,70718672,70721758,70764709,70812128,70976210,71132773,71253848,71334416,71376709,71471188,72638473,72751204,73138920,73217955,73228153,73346926,73462009,73603108,73752709,73803750,74271433,74394180,74614009,74853848,74896126,74945055,75026192,75083499,75574606,75681733,76999204,77231758,77368009,77415166,77659486,78014848,78099152,78147358,78396015,78625993,78677509,78724000,78970755,79188709,79241326,79353792,79558506,79663644,79665358,79749803,79823660,79838178,79941392,80160579,80189509,80251218,80387490,80390446,80694255,80872933,81719859,81842655,82193086,82281285,82300946,82372558,82478548,82519753,82551886,82793209,82838533,82979499,83386846,83622416,83948233,84210579,84235472,84404466,84455758,84929413,85012933,85137673,85171452,85224526,85488683,85746656,86032633,86073872,86151973,86243428,86275839,86545093,86636686,86969209,87159109,87298832,87347209,87493204,87766704,87861546,88260709,88402693,88564500,88648393,88752613,88907042,88950783,89273016,89295555,89330953,89661433,89689611,89823973,89934066,90143653,90440355,90548473,90587758,90731209,90760366,90990286,91147513,91162558,91334686,91621246,91773193,92136046,92156655,92311753,92441893,92671609,92808723,92878948,92991166,93137413,93161209,93184933,93372133,93509509,93602648,93710713,93729358,93969913,94012558,94075218,94279333,94378873,94468800,94489112,94553509,94572553,94690606,94747006,94764906,94831609,94903033,94937428,94938313,95025253,95045450,95160613,95232459,95248592,95568709,95591086,95627173,95758804,95782009,95788392,95795653,95979109,96053413,96064491,96092931,96260312,96375646,96425509,96435193,96463813,96464988,96469712,96528073,96749833,96815353,96827593,96833106,96879109,96905209,96910213,96929509,96987973,97024009,97057273,97067209,97068613,97372803,97654683,97935358,98211186,98300432,98737542,99041758,99207166,99848404,99926931,...,108001800183745302312383553555543232731609376106008053124273269132925880700320822846949308369480080383029992258866663825992544570704154976531146965071941386210953912301972335996334360197946651485387350899080290556336981568514225768158819146943356524461905119824795190900788496146618731021406911666431830420211397590775192344452587438552518126718559672182919562598985341086391422053951503095744507760103113426086631544158249758243225137999095089246269645532240062161513818881297807092244989849812949228300717250598197957038514240629595493951089488356519299654998835911806139790503518987409202773420989608842396242582118779873563207585271472518619165913520837193782098605804619896738340367077116323221699447377701593506440456661857831621168372354387988059816227410980614873047527538929488103359447805554248971132443779300797594752686565970214806601902245332219463171577592144704552543595079055850758062563652542175150829704732398003107057718744951134758498594599029173871188709038926452761198875273321573178640060404063495931229279713944287169534648177436133339787180907063303530376879894008124748511299270619146150577734597569259504737325590911744356158626934770252034244771357068765630713543615151512989768951075044663225870351220637571754827677123689582686059068098827857809962058994460729611734673829246269984242875072046642974733458621234987955601464107017733932038887687752328052849594812143592071713007884643209907127893918809936294718287528516579641379924517999012899640776115499067294734764853539656490886715793497463794720221553123241253170412395663753486127760792565541139176365361085617229450465534882582172593845967313841090019233278689498270359161509619970931582130996021024115501269604333976292110173018608291945212675512870194077168971746676108692767253049194488917646083258371211479889906169368583171441477621305741573197024233316956169914535503569280709000136491800118553714772336554082548565530610451213818931386871662146165153142332588907475924996884587081017935535221671659845923512317715010687794312462615787178492980241476157166742573191256237061682564530996446756638402713789054167191528419156271472778658526195101325562851734176369023834122448724401786761219918677447896151733820137898800664081451365470138138399474309934451823318798704208603533321416496124775717087097008832746608349961753752548746203770195464404155315454553505988842544110749925911060654136895895285689015729097706035607922588962895799475786770347176411034847358362059224796444305873302289809815926831470625746315390430474557491650659672505303383875261570967095143551569039517777769034232176198628447839313775935963826198671770024570313367829149338656783115304286690465612902223161906369027819529001888634273502493454677449057683775289851407457490598279594544712432496558271826894217464793548161346048152461053207518501854344289885692364899878877382740243583958945726840327331568346569561930186686190024841210599545563876781792688711614241622635022172871229894376941441155113980965987471406763544769892923769456468431048724644749776894663515237098679209389016747076609119131637465391894818007647574423420444745870240029535852772566062203923522}
19707  95373523272961547677560700396734697955122571612557301365796668339217249: {295485,315184,354582,413637,492425,590910,630304,709092,1004037,1357989,1791517,2536269,2559310,2617573,3031798,3071172,3326089,3739390,4030505,4331140,4487268,4684078,4836606,5197368,5628766,5847039,5939709,6290637,6691540,7458837,7717304,8029848,8681967,8857509,9033579,9525604,9555549,9692873,10136589,10184398,10335675,10400669,11024720,11528637,12304375,12402810,12819005,13229664,13263837,13310437,13610229,14071749,14129437,14327768,14549140,14566985,14765250,14883372,14993637,15338949,15382806,15749600,15799029,15846766,16118739,16143837,16373589,16488429,17458968,17480382,17718300,18208149,18437037,18899520,19014910,19188975,19237389,19641339,20159488,20184910,20468240,21261960,21477757,22679424,22681385,22731555,22817892,23026770,23258285,23919705,24221892,24246992,24341669,24432814,24561888,24711817,24919989,25514352,26137385,26353957,26817604,26951037,27061375,27164893,27217662,27277866,27286505,27632124,27710158,27909942,28300749,28703646,28785253,29433109,29475413,29648788,29983029,30094989,30153005,30403597,30682510,31101549,31212013,31364862,31436637,32329149,32473650,32743806,33752915,34367428,34638560,34797238,34904020,35330037,35621477,36105189,36183606,36819012,36856813,36995885,37320909,37607417,37648510,37661197,38061814,38362909,38423589,38465077,38698505,38806990,38968380,39413949,39585940,40503498,40727893,41121790,41386189,41566272,41819998,41884824,42316222,42476917,42658685,42951118,43028637,43433710,43557893,44257513,44361589,44395062,44588590,44663037,45178212,45361342,45491309,45538937,45663478,46438206,46568388,46762056,47120427,47163005,47503128,47993053,48178997,48218450,48595837,48614093,48928009,49346148,49497353,49666477,49710340,49883669,49966505,50174872,50865029,51146637,51152453,51190422,51361269,51418669,52120452,52161718,52607313,52652590,52669774,52931497,53288637,53441019,53441869,53506308,53783758,53801710,53876285,54374020,54950110,55498222,55633749,56219669,56446429,56446731,56458957,56595606,56801949,57341033,57484493,57861429,57862140,58260973,58398277,58913189,59652408,59959806,60681310,60710037,60728813,61358740,61499608,61719616,61827862,61878838,61960612,62285037,62347117,62417614,62535869,63183108,63996555,64063509,64562052,64651542,64689549,64921846,65233540,65248824,65497117,65626989,65647918,65847022,65939037,65940132,66277054,66598505,66640949,66666309,67084573,67108959,67574573,67806789,68262992,68336758,68427229,68883500,69187059,69434568,69920617,69948718,70038166,70432685,70593837,70664542,70952110,71237302,71313549,71436473,71612068,71929509,72134637,72817572,73169614,73404927,73630488,73687909,73690829,73706038,74516740,75028324,75107717,75314638,75709582,76186375,76200574,76369877,76386478,76647862,76717966,76765348,76795866,76833940,77069177,77373517,77636393,78083293,78113889,78280248,78861289,79253637,79455309,79556109,79918206,80462229,80964789,81087934,81266037,81290285,81567069,81865493,81902317,82008053,82660200,82677973,82801246,82834299,82999102,83068989,83342518,83426110,83814843,84227773,84410998,84519222,84902777,85142532,85460829,85612894,85805333,86012878,86056629,86092829,86292406,86858117,87200585,87245637,88065279,88170880,88233837,88398340,88515160,88812233,89047813,89067310,89168020,89338985,89377822,89420088,89711637,89793454,90006549,90440086,90589049,90939005,91423650,91832557,91946533,92003885,92200728,92846573,92943789,92992725,93431229,93567310,93782740,93920068,94112637,94391734,95524726,95859429,96249005,96553597,96729909,96841966,97518560,97548342,97623940,97791189,98054206,98332037,98405000,99192240,99465622,99579555,99779575,99905037,99926740,99978133,...,162002700275617953468575330333314849097414064159012079686409903699388821050481234270423962554220120574544988388299995738988816856056232464796720447607912079316430868452958503994501540296919977228081026348620435834505472352771338652238228720415034786692857679737192786351182744219928096532110367499647745630317096386162788516678881157828777190077839508274379343898478011629587133080927254643616761640154670139129947316237374637364837706998642633869404468298360093242270728321946710638367484774719423842451075875897296935557771360944393240926634232534778949482498253867709209685755278481113804160131484413263594363873178169810344811377907208777928748870281255790673147908706929845107510550615674484832549171066552390259660684992786747431752558531581982089724341116470922309571291308394232155039171708331373456698665668951196392129029848955322209902853367998329194757366388217056828815392618583776137093845478813262726244557098597004660586578117426702137747891898543760806783063558389679141798312909982359767960090606095243896843919570916430754301972266154200009680771360594955295565319841012187122766948905928719225866601896353889257105988386367616534237940402155378051367157035603148446070315422727269484653426612566994838805526830956357632241515685534374029088602148241786714943088491691094417602010743869404976364312608069964462100187931852481933402196160526600898058331531628492079274392218215388107569511826964814860691840878214904442077431292774869462069886776998519349461164173248600942102147280309484736330073690246195692080332329684861879755618593495630229191641188848311708764548041628425844175698302323873258890768950970761635028849918034247405538742264429956397373196494031536173251904406500964438165259527912437917819013269305291115753457620014163039150879573791733376469124887556817219834859254052874757162216431958612359795536349975434254871803255353921063500204737700177830572158504831123822848295915676820728397080307493219247729713498883361213887495326880621526903302832507489768885268476572516031691468693923680767739470362214235750113859786884355592523846796494670134957604070683581250787292628734407209167987789292651988344277601264553535751183673086602680141829878016171844227600730206848200996122177048205207207599211464901677734978198056312905299982124744187163575630645513249119912524942630628823119305655293196606232973181830258983263816166124888866590981205343842928533523593646559053411883883444343699213680155520764616552271037543088837194666458809953434714723890247205938619473085645711836237475989508757955075812892356450642715327353559276666653551348264297942671758970663903945739298007655036855470051743724007985174672956430035698419353334742859553541729293502832951410253740182016173586525662934777111186235897419391817068648744837407740341326197190322242019072228691579811277752781516434828538547349818316074110365375938418590260490997352519854342895280029285037261815899318345815172689033067421362433952533259306844841565412161732670971448981207110145317154839385654184702646573086967124665341995272855648018814083525120614913678697456198087842227011471361635130667118805360044303779158849093305885283}
19708  95746039993933817221297534510093375031099059637768337162774924893228828: {216667,275786,393980,472776,531873,551516,748106,787880,886365,924067,945456,1063638,1338716,1810652,2564587,2681227,2914291,3263347,3381692,3804146,3838965,4038218,4094896,4272146,4547697,4606758,4653091,4883707,5413925,5458987,5609085,5983024,6146947,6371018,6448808,6496710,6730902,6752641,6929824,7026117,7254909,7515091,7763786,7796052,7919612,8082091,8364425,8387516,8443149,8647291,8689418,8920466,9646630,9945116,10037310,10706464,10763666,10890091,10993418,11224027,11575956,11810012,11907005,12044772,12536797,12740732,12883987,13515452,13780900,14288406,14418667,14422418,15072067,15276597,15289291,15331346,15371516,15831091,16537080,16690418,16916426,17124067,17593586,17639552,17685116,17909710,18146972,18186425,18300187,18604215,18719306,18762332,19168586,19687000,19844496,19991516,20065418,20311147,20451932,20510408,21065372,21216118,21491652,21525116,21823710,21831452,21984427,21984572,22147875,22325058,23074209,23278624,23307176,23624400,23629706,23770149,24050107,24277532,24582716,25072147,25199360,25585300,25649852,26188452,26220573,26289091,26490907,26577450,27595466,27814418,28294291,28349280,28522365,29286091,29778506,30074347,30239232,30277365,30308740,30423856,30702360,30955627,31892940,32024827,32295856,32749184,33226652,33373027,33522005,33851107,34019136,34226838,34530506,34540155,35085691,35839387,35934716,36027091,36290216,36332838,36370488,36649221,36681787,36842832,36961291,37060985,37147267,37213256,37425691,37734332,38271528,39082627,39845906,39977372,40126652,40226406,40826493,40896307,40916799,41255587,41448186,41468732,41565237,41737418,41792347,41819816,41864913,41915516,42681187,42783218,42959285,43055469,43105532,43298200,43630025,43658408,43738291,43903013,44350147,44473182,44611291,44864018,45735427,46023765,46105586,46335691,47017387,47047293,47106716,47136266,47610091,47863027,48140252,48244808,48450691,48701467,48710475,48777866,49092016,49115709,49482425,49761212,51222986,51231452,51336091,51551142,51957840,52195857,52356030,52551932,53043218,53104627,53580907,53812157,54004664,54049418,54250226,54275409,54760267,54916291,55228518,55305091,55421696,55537507,55846432,56472765,56613547,57092721,57245066,57371516,57750787,58201147,58210485,58236146,58452570,59193416,59241907,59378910,59550716,59730118,59814386,60011018,60237616,60704227,60755247,60992018,61682685,61782067,61853347,61917608,62091184,62137925,62208667,62349408,62718590,62729997,62748746,62827236,63337504,63474333,63719666,63750691,63913418,64302787,64426677,64440091,64645507,64665029,65150565,65257867,65595547,65794864,66592593,66610826,66796291,66882885,66993866,67453291,67583827,67767318,67967525,68042013,68195516,68232187,68253896,68481692,68495217,68937067,69493936,69657309,69852582,69855533,70143084,70444747,70604018,70792586,71051516,71060707,71254692,71341744,71729947,72327675,72330787,72924427,73218547,73417418,73627291,73866377,73917091,74019222,74032507,74178332,74319787,74377027,74565510,74945467,75089906,75170827,75262308,75339091,75460808,75735932,76005667,76335067,76698425,76785633,76874510,77093587,77147227,77148572,77149520,77450765,78152707,78180678,78217226,78242577,78412987,78978885,79004661,79436107,79486507,79536544,79674506,79936867,79946408,80184547,80259462,80674507,80675637,80702565,80723107,80946716,81061291,81205147,81300691,81483146,81541925,81561030,81679987,82147627,82332667,82425165,82470691,82740626,82926091,83046716,83240587,83247333,83902627,84162907,84244144,84377827,84548467,84893409,85057226,85328740,85418012,85507291,85791547,85992427,86082736,86104375,86118218,86202056,86252732,86388787,86506291,86793210,86893291,86998432,87159907,87174026,87502652,87719347,87918716,87920176,88369291,88475347,88888412,89064091,89478612,89515085,89939709,90115867,90210691,90409052,90614107,90655946,90735787,91021965,91173266,91355707,91470187,91779067,91834291,91971091,92038110,92052307,92204018,92249412,92375306,92577187,92579424,92741793,92818257,92940918,93049147,93144541,93145925,93192787,93287107,93310507,93357091,93626421,93697291,93785405,93979027,94063267,94125116,94428091,94486627,94677067,94758218,94774662,94949227,95070691,95084732,95121667,95366827,95725387,95906012,95956685,96030091,96042425,96091291,96115267,96179516,96318091,96370291,96440347,96685291,96700627,96772987,96843078,96868027,96873787,96912091,96927427,96946867,96973867,96977313,97002091,97050691,97090096,97093747,97101307,97382769,97850310,97873236,98173984,98471877,98770533,98910198,99366694,99415581,...,216003600367490604624767107111086465463218752212016106248546538265851761400641645693898616738960160766059984517733327651985089141408309953062293930143882772421907824603944671992668720395893302970774701798160581112673963137028451536317638293886713048923810239649590381801576992293237462042813823332863660840422795181550384688905174877105036253437119344365839125197970682172782844107903006191489015520206226852173263088316499516486450275998190178492539291064480124323027637762595614184489979699625898456601434501196395914077028481259190987902178976713038599309997671823612279581007037974818405546841979217684792485164237559747126415170542945037238331827041674387564197211609239793476680734154232646443398894755403187012880913323715663242336744708775976119632454821961229746095055077858976206718895611108497942264887558601595189505373131940429613203804490664438926343155184289409105087190158111701516125127305084350301659409464796006214115437489902269516997189198058347742377418077852905522397750546643146357280120808126991862458559427888574339069296354872266679574361814126607060753759788016249497022598541238292301155469195138519009474651181823488712317253869540504068489542714137531261427087230303025979537902150089326451740702441275143509655354247379165372118136197655715619924117988921459223469347658492539968485750144093285949466917242469975911202928214035467864077775375504656105699189624287184143426015769286419814255787837619872589436575057033159282759849035998025799281552230998134589469529707079312981773431586994927589440443106246482506340824791327506972255521585131082278352730722171234458900931069765164345187691934627682180038466557378996540718323019239941863164261992042048231002539208667952584220346037216583890425351025740388154337943493352217385534506098388977835292166516742422959779812338737166342882955242611483146394048466633912339829071007138561418000272983600237107429544673108165097131061220902427637862773743324292330306284665177814951849993769174162035871070443343319691847024635430021375588624925231574356985960482952314333485146382512474123365129061992893513276805427578108334383056838312542945557317052390202651125703468352738047668244897448803573522439837354895792303467640275797601328162902730940276276798948619868903646637597408417207066642832992249551434174194017665493216699923507505097492407540390928808310630909107011977685088221499851822121308273791790571378031458195412071215845177925791598951573540694352822069694716724118449592888611746604579619631853662941251492630780860949114983301319345010606767750523141934190287103138079035555538068464352397256895678627551871927652397343540049140626735658298677313566230608573380931225804446323812738055639058003777268547004986909354898115367550579702814914981196559189089424864993116543653788434929587096322692096304922106415037003708688579771384729799757754765480487167917891453680654663136693139123860373372380049682421199091127753563585377423228483245270044345742459788753882882310227961931974942813527089539785847538912936862097449289499553789327030474197358418778033494153218238263274930783789636015295148846840889491740480059071705545132124407847044}
19709  96120001416105340577008577483727239719502262248698892054313545119299906: {19709,413679,492475,590970,630368,689395,709164,827274,984850,1122159,1181820,1260608,1418184,1595457,1673395,2008074,2263315,2382127,2715978,3583034,3680347,4227115,5072538,5118620,5235146,5642707,5706219,6057327,6063596,6142344,6408219,6652178,6910137,7478780,8002027,8061010,8662280,8974536,9368156,9556527,9673212,9745065,9899515,10096353,10361347,10394736,10484395,10833211,11257532,11645679,11694078,11879418,12431395,12581274,13034127,13380699,13383080,14469945,14762515,14917674,15055965,15434608,15925915,16059696,16145499,16490127,16894315,17226125,17363934,17715018,17946607,18067158,19051208,19111098,19197211,19214395,19385746,20273178,20368796,20393779,20671350,20801338,21432609,21633627,21772267,22049440,22106395,22683715,22997019,23057274,23452915,24608750,24805620,24989395,25035627,25374639,25564915,25638010,26331715,26390379,26459328,26527674,26620874,26864565,26906395,27220458,27289315,27340687,27480715,27668299,28078959,28143498,28258874,28655536,28752879,28767427,29098280,29133970,29530500,29659339,29766744,29905711,29987274,30098127,30346915,30677898,30728395,30765612,31499200,31598058,31693532,31753939,31824177,31981625,32062315,32237478,32287674,32561599,32735565,32747178,32976858,33487587,33747307,34834579,34917936,34960764,35436600,35444559,35878447,36287299,36416298,36592339,36874074,37422127,37799040,37885925,38029820,38201107,38377950,38474778,39282678,39812239,39866175,40115059,40318976,40369820,40374931,40936480,40984207,41393199,41533315,41721627,42031819,42214207,42258667,42523920,42955514,44667759,44918395,45358848,45362770,45463110,45635784,46053540,46203739,46392127,46516570,47167915,47169979,47254081,47434171,47839410,48443784,48493984,48619087,48682351,48683338,48846019,48865628,49042411,49079539,49123776,49423634,49502419,49839978,49971715,50158315,50161747,50896459,51028704,51340257,51580507,51794239,51795759,51835915,52274770,52394395,52707914,53635208,53693167,53881915,53902074,54122750,54177907,54329786,54359119,54435324,54499257,54555732,54573010,54959707,55064827,55086979,55264248,55320571,55420316,55819884,56601498,57046867,57131839,57407292,57453019,57490411,57570506,57911887,58476499,58866218,58883395,58950826,58953427,59175787,59297576,59722159,59768859,59966058,60017947,60175315,60189978,60306010,60339609,60452899,60807194,61279819,61295587,61365020,61863931,62172279,62201515,62203098,62424026,62606127,62729724,62873274,63319747,64039315,64174827,64486819,64658298,64917007,64947300,65483407,65487612,65689915,66028207,66322927,66441427,66709773,67296027,67505830,67581547,67936219,68734856,69158379,69277120,69594476,69808040,69891727,69953107,70660074,70704399,71242954,71714395,72013699,72210378,72367212,72711679,73136827,73166799,73638024,73713626,73806979,73906027,73991770,74438395,74641818,74921179,75214834,75297020,75322394,75426799,75766627,75769459,76123628,76725818,76834479,76847178,76930154,77326713,77397010,77411599,77613980,77644339,77833867,77936760,78534045,78769771,78827898,79171880,79564827,79860859,80310319,80540911,81006996,81074127,81375339,81455786,81776179,81968899,82243580,82623211,82772378,82842777,82954747,82990627,83132544,83639996,83769648,83943919,84287467,84318139,84393451,84632444,84787987,84953834,85244395,85317370,85602115,85867599,85902236,86057274,86136139,86781211,86867059,86867420,87115786,87354219,87409171,87678855,88304659,88515026,88723178,88790124,88814395,88821379,89068365,89177180,89326074,89472547,89595177,89721579,89990959,90016527,90356424,90722684,90982618,91077874,91220431,91326956,91344847,91488027,92722915,92876412,93001711,93099247,93136776,93237907,93524112,94077885,94123119,94240854,94326010,94669915,94685119,94715227,94891339,95006256,95008027,95070811,95579499,95870127,95986106,96357994,96435715,96436900,97076719,97191674,97228186,97550827,97856018,97866619,98605759,98692296,98789647,98994706,99260731,99332954,99420680,99767338,99825727,99916239,99933010,...,324005400551235906937150660666629698194828128318024159372819807398777642100962468540847925108440241149089976776599991477977633712112464929593440895215824158632861736905917007989003080593839954456162052697240871669010944705542677304476457440830069573385715359474385572702365488439856193064220734999295491260634192772325577033357762315657554380155679016548758687796956023259174266161854509287233523280309340278259894632474749274729675413997285267738808936596720186484541456643893421276734969549438847684902151751794593871115542721888786481853268465069557898964996507735418419371510556962227608320262968826527188727746356339620689622755814417555857497740562511581346295817413859690215021101231348969665098342133104780519321369985573494863505117063163964179448682232941844619142582616788464310078343416662746913397331337902392784258059697910644419805706735996658389514732776434113657630785237167552274187690957626525452489114197194009321173156234853404275495783797087521613566127116779358283596625819964719535920181212190487793687839141832861508603944532308400019361542721189910591130639682024374245533897811857438451733203792707778514211976772735233068475880804310756102734314071206296892140630845454538969306853225133989677611053661912715264483031371068748058177204296483573429886176983382188835204021487738809952728625216139928924200375863704963866804392321053201796116663063256984158548784436430776215139023653929629721383681756429808884154862585549738924139773553997038698922328346497201884204294560618969472660147380492391384160664659369723759511237186991260458383282377696623417529096083256851688351396604647746517781537901941523270057699836068494811077484528859912794746392988063072346503808813001928876330519055824875835638026538610582231506915240028326078301759147583466752938249775113634439669718508105749514324432863917224719591072699950868509743606510707842127000409475400355661144317009662247645696591831353641456794160614986438495459426997766722427774990653761243053806605665014979537770536953145032063382937387847361535478940724428471500227719573768711185047693592989340269915208141367162501574585257468814418335975578585303976688555202529107071502367346173205360283659756032343688455201460413696401992244354096410414415198422929803355469956396112625810599964249488374327151261291026498239825049885261257646238611310586393212465946363660517966527632332249777733181962410687685857067047187293118106823767766888687398427360311041529233104542075086177674389332917619906869429447780494411877238946171291423672474951979017515910151625784712901285430654707118553333307102696528595885343517941327807891478596015310073710940103487448015970349345912860071396838706669485719107083458587005665902820507480364032347173051325869554222372471794838783634137297489674815480682652394380644484038144457383159622555505563032869657077094699636632148220730751876837180520981994705039708685790560058570074523631798636691630345378066134842724867905066518613689683130824323465341942897962414220290634309678771308369405293146173934249330683990545711296037628167050241229827357394912396175684454022942723270261334237610720088607558317698186611770566}
19710  96495413102636489403475448055571012581974523138350554776354610917729669: {216689,256061,433334,452801,551572,570749,787960,886455,945552,1063746,1103032,1240911,1477275,1496212,1575760,1772730,1848134,1890912,1980509,2097521,2127276,2214461,2487041,2677432,2720369,2953409,3012111,3069821,3263681,3496049,3621304,4073967,4422641,4538141,4653569,4692029,5114561,5129174,5229629,5362454,5374551,5382941,5459549,5497841,5689181,5828582,5956721,6398275,6414449,6526694,6528701,6763384,7579495,7608292,7608807,7677930,7742909,7852719,7894109,8076436,8120669,8189792,8535281,8544292,8873789,9095394,9211649,9213516,9306182,9348475,9436529,9586289,9661121,9767414,9978267,10482161,10827850,10891229,10917974,10928369,11218170,11710195,11966048,12038849,12091515,12223229,12293894,12554609,12742036,12811901,12897616,12993420,13325309,13461804,13471709,13505282,13859648,14052234,14071915,14238209,14509818,15030182,15073661,15327089,15527572,15592104,15839224,16164182,16669807,16728850,16775032,16886298,17054321,17294582,17378836,17541117,17590301,17819127,17840932,17875421,18124481,18550529,18656861,18869309,18871911,19046129,19258049,19293260,19399169,19575389,19890232,20074620,20348381,20768381,20873201,21412928,21527332,21709169,21780182,21986801,21986836,22090781,22376511,22448054,22505981,22713149,23057789,23151912,23229809,23538941,23620024,23641841,23814010,23881661,24089544,25073594,25312349,25460995,25481464,25617089,25767974,25786109,26022401,26045901,26527421,26572527,26628209,26997149,27030904,27097601,27100737,27197981,27298289,27498689,27561800,28430081,28576812,28628849,28666647,28695041,28837334,28844836,29078619,29190461,29322269,30012161,30077681,30110429,30144134,30409767,30553194,30568061,30578582,30662692,30743032,30959069,30991601,31007025,31154141,31202007,31478621,31662182,32028401,32060669,32254109,32992961,33074160,33376769,33380836,33408701,33832852,34248134,34585911,34616189,34995101,35187172,35279104,35370232,35372861,35467121,35819420,35843441,35874749,36249821,36293944,36372850,36600374,36717041,36779201,36913125,37151489,37182461,37208430,37429949,37438612,37460849,37524664,37553501,37615229,38337172,38457015,38720861,38843069,39117569,39178481,39374000,39543281,39616915,39688992,39791511,39931311,39937181,39983032,40130836,40178909,40540541,40622294,40811009,40830687,40903864,41020816,41200541,41290241,41379869,41439581,41707889,41797181,42130744,42215247,42388311,42432236,42983304,43050232,43069121,43333469,43647420,43655681,43662904,43700955,43772609,43968854,43969144,44295750,44384381,44650116,44732381,44963741,44980911,45309821,45396161,45597341,45683441,45769469,45912689,46016847,46148418,46341149,46369649,46557248,46614352,46881281,46930807,47192669,47248800,47259412,47397087,47537275,47540298,48100214,48356217,48431511,48456449,48555064,48568001,49120767,49165432,49465287,49621361,49704029,50144294,50280689,50390129,50398720,50462275,50635901,50799389,50962589,51170600,51206849,51299704,51885379,51989501,52338161,52376904,52441146,52578182,52578749,52712129,52981814,53057981,53154900,53217149,53587421,53613809,54139889,54532349,54624447,54766961,54948989,55078769,55190932,55311111,55337729,55628836,56186621,56237789,56588582,56698560,56950781,57044730,57077441,57566925,57632369,57712167,57783041,58083521,58158461,58283201,58457501,58532081,58572182,58924017,58953341,59347709,59470529,59557012,59715569,60142999,60148694,60421661,60478464,60494321,60554730,60617480,60711869,60736001,60847712,60856541,61073009,61082035,61404720,61742321,61884929,61911254,61932401,62169281,63155441,63411389,63785880,63897329,64049654,64311041,64333949,64433271,64591712,64676609,65333981,65498368,65626481,65805809,65939969,66073841,66229661,66453304,66562241,66672701,66746054,66804989,67044010,67265729,67331261,67592669,67614401,67702214,67809629,67874561,67917809,68038272,68044155,68194665,68262641,68369981,68453676,68626781,68690801,68967389,69061012,69080310,69094589,69275395,69537521,69774855,69893501,70018589,70101821,70171382,70330049,71151809,71436401,71678774,71699261,71759115,71869432,71880449,72054182,72459869,72580432,72665676,72740976,72875249,72993281,73025007,73071809,73130621,73248029,73287101,73298442,73363574,73423601,73481981,73656689,73685664,73922582,74121970,74135451,74291741,74294534,74329949,74426512,74691329,74759967,74851382,74955761,75012221,75143681,75468664,75739649,76016189,76126301,76181249,76400321,76422307,76454909,76543056,76582001,76706275,77158001,77336321,77425181,78073831,78165254,78181121,78412155,78648221,79061871,79211201,79346369,79464221,79514609,79691812,79865309,79948289,79954744,80212481,80253304,80452812,80507249,80734721,80853111,80896241,81089009,81184125,81232829,81312449,81328349,81494679,81502721,81652986,81792614,81833598,81859515,81895421,82113149,82159601,82482749,82511174,82556539,82896372,82937464,82953329,83118461,83130474,83267741,83342081,83474836,83563901,83584694,83639632,83729826,83740061,83831032,83842289,84103361,84261629,84475889,84561089,84688349,84786881,84902247,84996701,85038449,85163261,85362374,85533809,85566436,85656029,85737149,85804529,85918570,86110938,86178161,86204609,86211064,86283761,86355759,86571521,86596400,86919389,86993095,86995901,87173309,87185921,87223709,87260050,87316816,87399101,87476582,87732929,87745181,87806026,87806321,88133021,88204829,88299327,88426239,88453889,88664561,88700294,88780481,88803569,88946364,88952861,89044061,89191169,89222582,89292221,89359229,89580509,89646269,89679041,89728036,89949087,90034781,90109121,90140861,90172529,90267101,90284967,90350621,90459015,90577661,90638909,90750449,90760541,91210791,91254941,91370621,91380209,91470854,91570289,91607921,91794161,91803389,91858589,91995329,92047530,92049521,92210369,92211172,92342429,92359901,92472689,92489921,92575601,92652029,92671382,92719421,92992001,93208541,93216449,93232241,93304647,93403841,93426941,93636039,93653981,93713309,93720689,93873821,94002269,94016381,94034774,94094586,94100381,94121201,94121275,94213432,94251389,94272532,94309911,94352129,94444529,94451069,94522481,94586561,94618301,94662401,94737089,94755581,94971869,95070401,95093249,95154535,95194481,95220182,95320061,95383901,95389169,95538461,95603201,95613041,95647229,95700161,95726054,95803121,95857649,95871101,95906621,95924189,96022721,96047729,96051869,96108989,96136961,96263549,96280504,96339569,96388289,96391709,96461681,96487409,96489616,96555521,96564509,96625409,96666749,96703709,96763421,96786941,96791549,96793841,96825089,96833729,96856829,96892541,96901382,96911261,96932669,96946301,96947969,96967361,96970481,96987447,97017341,97017475,97026161,97028609,97065329,97070849,97076081,97078589,97108481,97113629,97115549,97116401,97118321,97120769,97121009,97402934,97420950,97555732,98184032,98231418,98964850,99522424,...,486008100826853860405725990999944547292242192477036239059229711098166463151443702811271887662660361723634965164899987216966450568168697394390161342823736237949292605358875511983504620890759931684243079045861307503516417058314015956714686161245104360078573039211578359053548232659784289596331102498943236890951289158488365550036643473486331570233518524823138031695434034888761399242781763930850284920464010417389841948712123912094513120995927901608213404895080279726812184965840131915102454324158271527353227627691890806673314082833179722779902697604336848447494761603127629057265835443341412480394453239790783091619534509431034434133721626333786246610843767372019443726120789535322531651847023454497647513199657170778982054978360242295257675594745946269173023349412766928713873925182696465117515124994120370095997006853589176387089546865966629708560103994987584272099164651170486446177855751328411281536436439788178733671295791013981759734352280106413243675695631282420349190675169037425394938729947079303880271818285731690531758712749292262905916798462600029042314081784865886695959523036561368300846717786157677599805689061667771317965159102849602713821206466134154101471106809445338210946268181808453960279837700984516416580492869072896724547056603122087265806444725360144829265475073283252806032231608214929092937824209893386300563795557445800206588481579802694174994594885476237823176654646164322708535480894444582075522634644713326232293878324608386209660330995558048383492519745802826306441840928454208990221070738587076240996989054585639266855780486890687574923566544935126293644124885277532527094906971619776672306852912284905086549754102742216616226793289869192119589482094608519755713219502893314495778583737313753457039807915873347260372860042489117452638721375200129407374662670451659504577762158624271486649295875837079386609049926302764615409766061763190500614213100533491716475514493371468544887747030462185191240922479657743189140496650083641662485980641864580709908497522469306655805429717548095074406081771042303218411086642707250341579360653066777571540389484010404872812212050743752361877886203221627503963367877955965032832803793660607253551019259808040425489634048515532682802190620544602988366531144615621622797634394705033204934594168938715899946374232561490726891936539747359737574827891886469357916965879589818698919545490776949791448498374666599772943616031528785600570780939677160235651650333031097641040466562293849656813112629266511583999376429860304144171670741617815858419256937135508712427968526273865227438677069351928145982060677829999960654044792893828015276911991711837217894022965110566410155231172023955524018869290107095258060004228578660625187880508498854230761220546048520759576988804331333558707692258175451205946234512223221023978591570966726057216686074739433833258344549304485615642049454948222331096127815255770781472992057559563028685840087855111785447697955037445518067099202264087301857599777920534524696236485198012914346943621330435951464518156962554107939719260901373996025985818566944056442250575361844741036092368594263526681034414084905392001356416080132911337476547279917655849}
19711  96872280637957930047950202562337024950097903782179530431058446198289411: {39418,650001,689465,827358,965153,984950,1181940,1260736,1378790,1418328,1595619,1654548,1870265,1969700,2244318,2342753,2363640,2521216,2659095,2772201,2815241,2836368,3168641,3190914,3346790,4016148,4113329,4349501,4526630,4764254,5431956,5917961,7166068,7360694,7693761,8043681,8454230,8742873,9456941,9510365,9790041,10095545,10145076,10237240,10470292,10680365,11285414,11412438,11516895,11580329,12114654,12127192,12284688,12816438,13304356,13643091,13820274,13859321,13959273,14651121,14678153,14957560,15927545,16004054,16122020,16241775,16376961,16827255,17324560,17403953,17949072,18440841,18736312,19113054,19346424,19409465,19490130,19799030,20192706,20257923,20667521,20722694,20789472,20916401,20968790,21078351,21666422,21723545,21764727,22203401,22296281,22301165,22515064,22545273,22687613,23291358,23388156,23652041,23758836,24116575,24246273,24862790,25093275,25162548,25329447,25730861,25941873,26068254,26761398,26766160,26900153,26909165,27483545,28939890,29525030,29835348,30111930,30869216,30923393,30948953,31757201,31851830,32119392,32290998,32311721,32315453,32670273,32834081,32980254,33148673,33672081,33750761,33788630,34452250,34727868,34985153,35343113,35430036,35629553,35721015,35790881,35893214,36056045,36134316,36864401,37610391,37668953,38102416,38205041,38222196,38328365,38394422,38428790,38473001,38651961,38771492,39883181,40546356,40556393,40737592,40787558,41342700,41413361,41512253,41602676,41726045,42291065,42401801,42485681,42687689,42865218,43019753,43159409,43256001,43267254,43544534,43983965,44098880,44212790,44774275,44887241,44910473,45216201,45233969,45367430,45829791,45867873,45994038,46114548,46798265,46905830,47493273,47777081,47921465,48435881,49042109,49047449,49217500,49611240,49748033,49942061,49978790,50071254,50163545,50166881,50423081,50749278,51129830,51276020,51372201,51497081,51639473,52663430,52780758,52918656,53040295,53055348,53241748,53729130,53812790,53849441,54120401,54440916,54559275,54578630,54681374,54900561,54961430,55326233,55336598,55812645,56063129,56157918,56201801,56286996,56517748,57311072,57458921,57505758,57534854,57917849,57959213,58146641,58196560,58267940,58653821,58886081,59061000,59074265,59181881,59318678,59533488,59811422,59829641,59974548,60196254,60445121,60693830,60933441,60958781,61355796,61456790,61531224,61710953,62509361,62885753,62998400,63196116,63357101,63387064,63455561,63507878,63648354,63963250,63982781,64124630,64474956,64575348,64952381,65123198,65471130,65494356,65953281,65953716,66035081,66130409,66443625,66749441,66975174,67494614,67943213,68441321,68988665,69222627,69536045,69669158,69835872,69885521,69921528,69935021,69960401,70221641,70261853,70526441,70769129,70873200,70889118,70930301,71310447,71756894,72150321,72570281,72574598,72832596,73184678,73352153,73748148,73814561,74446265,74585081,74844254,75216441,75434681,75598080,75771850,76059640,76402214,76755900,76949556,76980161,77389481,78047321,78381641,78565356,78661719,78777833,78867273,79472721,79624478,79732350,79869101,80035721,80230118,80637952,80739640,80749862,81207641,81630641,81872960,81968414,82436753,82490153,82786398,82999121,83066630,83443254,84063638,84202169,84245441,84428414,84517334,84683513,84882873,85047840,85526249,85567095,85911028,86326265,87082121,87176381,87858273,87881153,89201153,89335518,89481761,89655041,89836790,90213689,90223041,90717696,90725540,90832095,90926220,91271568,91434653,91673033,91768721,91965881,92107080,92407478,92714129,92784254,92866881,93033140,94312649,94335830,94339958,94508162,94521881,94724921,94868342,95184713,95678820,95721761,96074481,96887568,96987968,97086713,97238174,97364702,97366676,97645613,97692038,97731256,97974041,98084822,98159078,98247552,98847268,99004838,99270953,99612461,99614765,99679956,99943430,99998729,...,648010801102471813874301321333259396389656256636048318745639614797555284201924937081695850216880482298179953553199982955955267424224929859186881790431648317265723473811834015978006161187679908912324105394481743338021889411085354608952914881660139146771430718948771145404730976879712386128441469998590982521268385544651154066715524631315108760311358033097517375593912046518348532323709018574467046560618680556519789264949498549459350827994570535477617873193440372969082913287786842553469939098877695369804303503589187742231085443777572963706536930139115797929993015470836838743021113924455216640525937653054377455492712679241379245511628835111714995481125023162692591634827719380430042202462697939330196684266209561038642739971146989727010234126327928358897364465883689238285165233576928620156686833325493826794662675804785568516119395821288839611413471993316779029465552868227315261570474335104548375381915253050904978228394388018642346312469706808550991567594175043227132254233558716567193251639929439071840362424380975587375678283665723017207889064616800038723085442379821182261279364048748491067795623714876903466407585415557028423953545470466136951761608621512205468628142412593784281261690909077938613706450267979355222107323825430528966062742137496116354408592967146859772353966764377670408042975477619905457250432279857848400751727409927733608784642106403592233326126513968317097568872861552430278047307859259442767363512859617768309725171099477848279547107994077397844656692994403768408589121237938945320294760984782768321329318739447519022474373982520916766564755393246835058192166513703376702793209295493035563075803883046540115399672136989622154969057719825589492785976126144693007617626003857752661038111649751671276053077221164463013830480056652156603518295166933505876499550227268879339437016211499028648865727834449439182145399901737019487213021415684254000818950800711322288634019324495291393183662707282913588321229972876990918853995533444855549981307522486107613211330029959075541073906290064126765874775694723070957881448856943000455439147537422370095387185978680539830416282734325003149170514937628836671951157170607953377110405058214143004734692346410720567319512064687376910402920827392803984488708192820828830396845859606710939912792225251621199928498976748654302522582052996479650099770522515292477222621172786424931892727321035933055264664499555466363924821375371714134094374586236213647535533777374796854720622083058466209084150172355348778665835239813738858895560988823754477892342582847344949903958035031820303251569425802570861309414237106666614205393057191770687035882655615782957192030620147421880206974896031940698691825720142793677413338971438214166917174011331805641014960728064694346102651739108444744943589677567268274594979349630961365304788761288968076288914766319245111011126065739314154189399273264296441461503753674361041963989410079417371581120117140149047263597273383260690756132269685449735810133037227379366261648646930683885795924828440581268619357542616738810586292347868498661367981091422592075256334100482459654714789824792351368908045885446540522668475221440177215116635396373223541132}
19712  97250609627851371409670049139713990414713793903320290560041583578708363: {59127,256087,433378,512122,610111,866668,905602,1103144,1141498,1241037,1477425,1575920,1772910,1891104,2019727,2068185,2127492,2136727,2206064,2462125,2481822,2954550,2992424,3151520,3366477,3535111,3545460,3696268,3781824,3961018,4114711,4195042,4254552,4346047,4428922,4461607,4692511,4786371,4974082,5020185,5268511,5354864,5440738,5498407,5906818,6024222,6139642,6415111,6527362,6789945,6992098,7146381,7242608,7327207,8147934,8460847,8845282,8912287,8957585,9076282,9307138,9384058,9587287,10229122,10258348,10459258,10611293,10724908,10749102,10765882,10919098,10929511,10995682,11041041,11378362,11657164,11913442,12040111,12261367,12592711,12681345,12796550,12828898,13053388,13057402,13087865,13526768,13911607,14021047,15158990,15216584,15217614,15355860,15485818,15705438,15788218,16086727,16152872,16241338,16379584,16394273,16630445,16928121,17070562,17088584,17118657,17270767,17747578,18171981,18190788,18423298,18427032,18612364,18696950,18873058,19083511,19172578,19224657,19295407,19322242,19534828,19612711,19700681,19956534,20152525,20730411,20964322,20980207,21655700,21711511,21782458,21835948,21856738,22436340,22750111,23420390,23575807,23932096,24006081,24077698,24183030,24446458,24587788,25109218,25484072,25619887,25623802,25795232,25986840,26025247,26631127,26650618,26923608,26943418,27010564,27033607,27134047,27719296,27835111,28034767,28104468,28143830,28476418,28632007,28669581,29019636,29235195,29698545,30015487,30060364,30113767,30147322,30289059,30604087,30654178,30995047,31055144,31084041,31184208,31287511,31453185,31482127,31678448,31967407,32064247,32257711,32328364,32499633,32740111,33220711,33339614,33412447,33457700,33550064,33772596,34108642,34589164,34651711,34757672,34937037,35082234,35180602,35408287,35638254,35645393,35681864,35750842,35878807,36248962,36253927,36814447,37101058,37186687,37294185,37313722,37465111,37650367,37738618,37743822,37927711,38092258,38516098,38572327,38586520,38798338,38847511,39102381,39150778,39578167,39760111,39780464,39941767,40142097,40149240,40213711,40696762,41115511,41536762,41746402,42632047,42825856,43054664,43074127,43338511,43409835,43418338,43560364,43973602,43973672,44181562,44287545,44753022,44896108,45011962,45167895,45343927,45426298,45516511,45688807,46115578,46203967,46303824,46375111,46459618,46631287,47077882,47226511,47240048,47283682,47628020,47763322,47777745,47818207,48179088,48436497,48464365,49470381,49489327,49737511,50147188,50396167,50624698,50682945,50921990,50962928,50968711,51213007,51234178,51535948,51572218,51618727,51678375,52003345,52044802,52091802,53054842,53145054,53256418,53620327,53839821,53994298,54061808,54172711,54195202,54201474,54395962,54565111,54596578,54721567,54997378,55111447,55123600,55463681,56270287,56860162,57109807,57153624,57257698,57333294,57390082,57591633,57639511,57643185,57674668,57689672,58157238,58380922,58539367,58644538,59723047,60024322,60155362,60220858,60288268,60380767,60743647,60819534,61104727,61106388,61136122,61157164,61181337,61325384,61486064,61521875,61535647,61918138,61983202,62014050,62308282,62404014,62957242,63324364,63442711,63928567,64056802,64095025,64121338,64135711,64297827,64342207,64508218,64616527,64900881,65161711,65316801,65364967,65836711,65970847,65985922,66148320,66319185,66552185,66703447,66753538,66761672,66817402,66967687,67623247,67665704,67818511,68051145,68496268,68593087,68657167,68990449,68991057,69171822,69232378,69420511,69735511,69923647,69990202,70048711,70358745,70374344,70558208,70647185,70740464,70745722,70854607,70934242,71405407,71466247,71638840,71686882,71749498,72190711,72499642,72587888,72745700,72834925,72904807,73200748,73434082,73550287,73558402,73826250,74129527,74302978,74364922,74416860,74701567,74859898,74877224,74921698,74968185,75049328,75106881,75107002,75230458,75266407,75546127,75768607,76123917,76210111,76592647,76674344,76694745,76914030,77441722,77453767,77560111,77686138,78235138,78356962,78710887,78748000,78762367,78995145,79086562,79171137,79233830,79374511,79377984,79583022,79726807,79862622,79874362,79876711,79966064,80261672,80273287,80357818,80518807,80593695,80616511,80719185,81004447,81081082,81244588,81340111,81622018,81661374,81672247,81807728,81867945,81907327,82022061,82041632,82401082,82442145,82580482,82601767,82759738,82875007,82879162,83004897,83190511,83415778,83594362,83767087,84236877,84261488,84288511,84430494,84502711,84561961,84776622,84864472,85009447,85341511,85514849,85966608,86071807,86100464,86138242,86230927,86258637,86302281,86662567,86666938,87047407,87199327,87237127,87294840,87311362,87325808,87387607,87401910,87545218,87758767,87937708,87938288,87941647,88230511,88302007,88591500,88690087,88768762,88932511,88978017,89300232,89464762,89704207,89717133,89866927,89927482,89961822,90294381,90619642,90714511,90775207,90792322,90955567,91040745,91162711,91194682,91366882,91395127,91538938,91818487,91825378,92033694,92064727,92185185,92225647,92269073,92296836,92357767,92667511,92682298,92718127,92739298,92743327,92868247,93114496,93208447,93228704,93232207,93442807,93669967,93736711,93762562,93861614,94267711,94385338,94428127,94467511,94497600,94518824,94622167,94794174,94809007,95074550,95080596,95194711,95261817,95406247,95468887,95472531,95515111,95560687,95635207,95664511,95847967,95944875,96031927,96069511,96186945,96200428,96270247,96303511,96409711,96489487,96594493,96685111,96709087,96712434,96812407,96863022,96877567,96912898,96924511,96966847,96985553,97075711,97081687,97084567,97095367,97110128,97127047,97135111,97136002,97138711,97140007,97684797,98206695,98241534,98330864,98930574,99242722,99408058,...,972016201653707720811451981999889094584484384954072478118459422196332926302887405622543775325320723447269930329799974433932901136337394788780322685647472475898585210717751023967009241781519863368486158091722615007032834116628031913429372322490208720157146078423156718107096465319568579192662204997886473781902578316976731100073286946972663140467037049646276063390868069777522798485563527861700569840928020834779683897424247824189026241991855803216426809790160559453624369931680263830204908648316543054706455255383781613346628165666359445559805395208673696894989523206255258114531670886682824960788906479581566183239069018862068868267443252667572493221687534744038887452241579070645063303694046908995295026399314341557964109956720484590515351189491892538346046698825533857427747850365392930235030249988240740191994013707178352774179093731933259417120207989975168544198329302340972892355711502656822563072872879576357467342591582027963519468704560212826487351391262564840698381350338074850789877459894158607760543636571463381063517425498584525811833596925200058084628163569731773391919046073122736601693435572315355199611378123335542635930318205699205427642412932268308202942213618890676421892536363616907920559675401969032833160985738145793449094113206244174531612889450720289658530950146566505612064463216429858185875648419786772601127591114891600413176963159605388349989189770952475646353309292328645417070961788889164151045269289426652464587756649216772419320661991116096766985039491605652612883681856908417980442141477174152481993978109171278533711560973781375149847133089870252587288249770555065054189813943239553344613705824569810173099508205484433232453586579738384239178964189217039511426439005786628991557167474627506914079615831746694520745720084978234905277442750400258814749325340903319009155524317248542973298591751674158773218099852605529230819532123526381001228426201066983432951028986742937089775494060924370382481844959315486378280993300167283324971961283729161419816995044938613311610859435096190148812163542084606436822173285414500683158721306133555143080778968020809745624424101487504723755772406443255007926735755911930065665607587321214507102038519616080850979268097031065365604381241089205976733062289231243245595268789410066409869188337877431799892748465122981453783873079494719475149655783772938715833931759179637397839090981553899582896996749333199545887232063057571201141561879354320471303300666062195282080933124587699313626225258533023167998752859720608288343341483235631716838513874271017424855937052547730454877354138703856291964121355659999921308089585787656030553823983423674435788045930221132820310462344047911048037738580214190516120008457157321250375761016997708461522441092097041519153977608662667117415384516350902411892469024446442047957183141933452114433372149478867666516689098608971231284098909896444662192255630511541562945984115119126057371680175710223570895395910074891036134198404528174603715199555841069049392472970396025828693887242660871902929036313925108215879438521802747992051971637133888112884501150723689482072184737188527053362068828169810784002712832160265822674953094559835311698}
19713  97630405699530617166147663987079022218341738508654355885531573829447458: {78836,650067,768183,965251,1083335,1300002,1358403,1378930,1654716,1712247,1930306,1969900,2363880,2521472,2618371,2659365,2757580,2836656,3191238,3309096,3327103,3722733,3740530,3939400,4431825,4488636,4620335,4685506,4727280,4861207,5042432,5318190,5544402,5630482,5672736,5941527,6292563,6337282,6381828,6643383,6693580,7461123,8032296,8161107,8226658,8699002,8860227,8867111,9036333,9053260,9209463,9528508,9791043,10488147,10863912,11835922,12221901,12822935,13113887,13267923,13314511,13406135,13614423,13960707,14076087,14133763,14332136,14571455,14721388,14952511,15343683,15387522,15688887,16087362,16123653,16148823,16316735,16378647,16493523,16908460,17067543,17485746,17870163,18913882,19020730,19194825,19243347,19580082,19586103,20191090,20290152,20474480,20940584,21360730,22298563,22570828,22738485,22824876,22826421,23033790,23160658,23228727,23265455,23558157,23682327,24229308,24254384,24362007,24418535,24569376,24719383,25605843,25632876,26240383,26608712,26621367,27069625,27173251,27286182,27294935,27634947,27640548,27718642,27918546,28045425,28201811,28309587,28758867,28983363,29302242,29356306,29915120,29934801,30412963,30734735,31221631,31446483,31855090,32008108,32047367,32244040,32483550,32673687,32753922,32785107,33654510,33763205,34649120,34807906,35130585,35898144,36116547,36117271,36274545,36669687,36881682,37472624,37575455,37618943,37663827,37672831,38226108,38435703,38476963,38692848,38818930,38980260,39598060,39887263,39975927,40385412,40410455,40415127,40515846,41335042,41445388,41578944,41822125,41832802,41937580,42156702,42215745,42714627,43236455,43332844,43447090,43529454,44375167,44406802,44592562,44602330,45030128,45090546,45220983,45375226,45552911,45981267,46582716,46776312,47304082,47517672,48007747,48193763,48233150,48492546,48610711,48943063,49725580,49899047,50009421,50186550,50325096,50449087,50478463,50658894,50880623,51162963,51168227,51434407,51461722,51883746,52136508,52623351,52770903,52947703,53457381,53458327,53522796,53532320,53626263,53659711,53800306,53818330,54373443,54450455,54967090,55651587,55970583,56068867,56120135,56463823,56476243,56607927,56615733,57138387,57282031,57358607,57502247,57774147,57879780,57965167,58197507,58416463,58726167,58931267,59050060,59207491,59535025,59670696,60030311,60223860,60487507,60747431,61045143,61514983,61577551,61611503,61738432,61846786,61897906,62305143,62619603,62683985,63514402,63703660,64134167,64238784,64419935,64581996,64623442,64630906,65127507,65340546,65517571,65668162,65960403,65960508,66272343,66297346,66336611,66967007,67090051,67129533,67344162,67501522,67517943,67577260,68139447,68448367,68904500,69173367,69455736,69689427,69942223,69970306,70228963,70616823,70686226,70860072,70925523,71259106,71435143,71442030,71458367,71510167,71581762,71644983,71786428,72093335,72112090,72268632,73728802,74256413,74281847,75130871,75220782,75337906,75360335,75937047,76204832,76382985,76393283,76410082,76444392,76446455,76656730,76788844,76851267,76857580,76946002,77092943,77303922,77358327,77542984,78067203,78107347,78137703,78885703,79053791,79155455,79582263,79717581,79766362,79884627,80991447,81043511,81092712,81112786,81292803,81302211,81390947,81475184,81575116,81593943,81890591,81894867,82033187,82496067,82498627,82685400,82703971,82826722,83024506,83205352,83452090,84210787,84582130,84803602,84971362,85136711,85290243,85375378,85620335,85730436,85886547,85999941,86039506,86085123,86119223,86318818,86512002,86534508,86884943,87089068,87235857,87571383,87966807,87967930,88197760,88425580,88839671,89548550,89774482,89820946,90036483,90233043,90331287,90432402,90467938,90616847,90734860,90932125,91229301,91424611,91500935,91659582,91704183,91735746,91988076,92229096,92237743,92316407,92877207,92974803,93021075,93462423,93596530,93606021,93811660,93849107,94435863,94986546,95554162,95839187,95842930,96085203,96182007,96584131,96646343,96762327,96871762,97350463,98084218,98094898,98362211,98435000,98657411,98978883,99222480,99496066,99884122,99957580,...,1458024302480561581217177972999833641876726577431108717177689133294499389454331108433815662987981085170904895494699961650899351704506092183170484028471208713847877816076626535950513862672279795052729237137583922510549251174942047870144058483735313080235719117634735077160644697979352868788993307496829710672853867475465096650109930420458994710700555574469414095086302104666284197728345291792550854761392031252169525846136371736283539362987783704824640214685240839180436554897520395745307362972474814582059682883075672420019942248499539168339708092813010545342484284809382887171797506330024237441183359719372349274858603528293103302401164879001358739832531302116058331178362368605967594955541070363492942539598971512336946164935080726885773026784237838807519070048238300786141621775548089395352545374982361110287991020560767529161268640597899889125680311984962752816297493953511459338533567253985233844609309319364536201013887373041945279203056840319239731027086893847261047572025507112276184816189841237911640815454857195071595276138247876788717750395387800087126942245354597660087878569109684104902540153358473032799417067185003313953895477308548808141463619398402462304413320428336014632838804545425361880839513102953549249741478607218690173641169809366261797419334176080434487796425219849758418096694824644787278813472629680158901691386672337400619765444739408082524983784656428713469529963938492968125606442683333746226567903934139978696881634973825158628980992986674145150477559237408478919325522785362626970663212215761228722990967163756917800567341460672062724770699634805378880932374655832597581284720914859330016920558736854715259649262308226649848680379869607576358768446283825559267139658508679943487335751211941260371119423747620041781118580127467352357916164125600388222123988011354978513733286475872814459947887627511238159827149778908293846229298185289571501842639301600475149426543480114405634663241091386555573722767438973229567421489950250924987457941925593742129725492567407919967416289152644285223218245313126909655233259928121751024738081959200332714621168452031214618436636152231257085633658609664882511890103633867895098498411380981821760653057779424121276468902145546598048406571861633808965099593433846864868392903184115099614803782506816147699839122697684472180675809619242079212724483675659408073750897638769456096758636472330849374345495123999799318830848094586356801712342819031480706954950999093292923121399686881548970439337887799534751998129289580912432515012224853447575257770811406526137283905578821595682316031208055784437946182033489999881962134378681484045830735975135511653682068895331699230465693516071866572056607870321285774180012685735981875563641525496562692283661638145562278730966412994000676123076774526353617838703536669663071935774712900178171650058224218301499775033647913456846926148364844666993288383445767312344418976172678689086057520263565335356343093865112336554201297606792261905572799333761603574088709455594038743040830863991307854393554470887662323819157782704121988077957455700832169326751726085534223108277105782790580043103242254716176004069248240398734012429641839752967547}
19714  98011674501722923501312531880359269480303962009987496452418002654567551: {98545,118254,334849,512174,866756,1024244,1042033,1220222,1733336,1811204,1950003,2068395,2206288,2282996,2462375,2482074,2565373,2682049,2895459,2954850,3151840,3380593,3446975,3545820,3782208,4039454,4136370,4254984,4273454,4412128,4786857,4885213,4924250,4963644,5000449,5460673,5610795,5690353,5909100,5984848,6034333,6303040,6732954,7028259,7070222,7090920,7392536,7563648,7922036,7977285,8229422,8316603,8366975,8390084,8445723,8509104,8692094,8857844,8923214,9385022,9505923,9572742,9663133,9948164,10040370,10537022,10670449,10709728,10881476,10996814,11316575,11338753,11813636,11910635,12048444,12225793,12279284,12339987,12540619,12830222,12888049,12998173,13048503,13054724,13328113,13579890,13984196,14292762,14485216,14654414,15076849,16295868,16921694,17129533,17665393,17690564,17753883,17824574,17915170,18152564,18199453,18323011,18401735,18412573,18614276,18768116,18944113,19174574,20422849,20458244,20516696,20918516,21135575,21222586,21449816,21498204,21531764,21838196,21859022,21991364,22082082,22095553,22756724,23081283,23282623,23314328,23826884,23955313,24080222,24131043,24522734,24978433,25182193,25185422,25362690,25593100,25657796,26095549,26106776,26114804,26175730,26195411,26228619,27003073,27053536,27704893,27823214,28042094,28213535,28370823,28502653,28531095,28701373,29370123,29592049,30084349,30286635,30317980,30433168,30435228,30711720,30971636,31161073,31410876,31576436,32041095,32173454,32305744,32422333,32482676,32615293,32759168,32788546,33260890,33480049,33856242,33957949,34141124,34177168,34237314,34338973,34541534,34550685,34740987,35495156,36343962,36381576,36787549,36846596,36854064,37224728,37393900,37623793,37746116,38167022,38345156,38449314,38590814,38644484,39069656,39096049,39187453,39225422,39401362,39913068,40006849,40010135,40305050,40929273,41269873,41449153,41460822,41577963,41877819,41896093,41928644,41960414,43311400,43423022,43490173,43564916,43671896,43713476,43953363,44034459,44365693,44800753,44872680,45500222,45751549,45837553,46840780,47034049,47151614,47782635,47864192,47964253,48012162,48155396,48366060,48725325,48802333,48892916,49130883,49135549,49175576,49497575,50218436,50292733,50456893,50481765,50702593,50968144,51239774,51247604,51273373,51590464,51806735,51973680,52050494,52211859,52404349,52421975,53123953,53262254,53301236,53847216,53886836,54021128,54067214,54166055,54268094,55322523,55438592,55635313,55670222,56069534,56208936,56251633,56287660,56634493,56952836,57091549,57264014,57339162,58039272,58222849,58228395,58297693,58470390,59397090,60030974,60120728,60227534,60294644,60578118,60773769,60871873,61208174,61308356,61805533,61876849,61948093,61990094,62002563,62110288,62156975,62168082,62232349,62368416,62575022,62749203,62906370,62964254,63235053,63356896,63705793,63934814,64128494,64396273,64515422,64656728,64999266,65170635,65294181,65350849,65480222,65620993,65755633,65957053,66441422,66610203,66679228,66690049,66824894,66888843,66903495,66915400,67100128,67545192,67635819,67850111,67935613,68062839,68217284,68259073,69178328,69303422,69345373,69515344,69874074,69912049,70164468,70361204,70816574,70956123,71276508,71290786,71363728,71501684,71757614,71758849,72300253,72349725,72497924,72507854,72738819,72804683,72894973,73013053,73248349,73306993,73628894,73748411,73812575,74202116,74350273,74373374,74407549,74588370,74627444,74930222,75032833,75201853,75279825,75300734,75477236,75487644,75855422,75988341,76184516,76421533,77032196,77144654,77173040,77179549,77192583,77233153,77596676,77695022,77825619,77923453,78204762,78237949,78301556,79156334,79520222,79520449,79560928,79629575,79883534,80020849,80284194,80298480,80427422,80562973,80700459,80709313,80727495,80757949,80806513,81393524,81534167,82231022,82450635,83052913,83073524,83492804,84200449,84243613,84471575,84628849,85264094,85651712,85708993,86109328,86130625,86148254,86230813,86310013,86677022,86819670,86836676,87120728,87575233,87760093,87833533,87947204,87947344,88363124,88575090,88831453,89003713,89241853,89506044,89575933,89733035,89792216,90023924,90031549,90159133,90335790,90687854,90852596,91033022,91284673,91371613,91377614,91543549,91684849,92097949,92231156,92258653,92390593,92407934,92520733,92607648,92623549,92750222,92770179,92846859,92919236,92998849,93173059,93262574,93263773,93334513,93357949,93474049,94006273,94048753,94132849,94155764,94453022,94480096,94510427,94516573,94555453,94567364,94708093,94928413,95256040,95271603,95321713,95418049,95433853,95526644,95555490,95572849,95636414,95647549,95914993,95986055,96071975,96107773,96168433,96180349,96306673,96358176,96763549,96800449,96828673,96872994,96875293,96924253,96928730,96930049,96935163,96946359,96963313,97003633,97008349,97026493,97047553,97055473,97066813,97105693,97128049,97156093,97160449,98010819,98502243,98906059,98940762,98978654,99446019,99475022,99936863,...,1944032403307415441622903963999778189168968769908144956236918844392665852605774811245087550650641446894539860659599948867865802272674789577560645371294944951797170421435502047934018483563039726736972316183445230014065668233256063826858744644980417440314292156846313436214192930639137158385324409995772947563805156633953462200146573893945326280934074099292552126781736139555045596971127055723401139681856041669559367794848495648378052483983711606432853619580321118907248739863360527660409817296633086109412910510767563226693256331332718891119610790417347393789979046412510516229063341773365649921577812959163132366478138037724137736534886505335144986443375069488077774904483158141290126607388093817990590052798628683115928219913440969181030702378983785076692093397651067714855495700730785860470060499976481480383988027414356705548358187463866518834240415979950337088396658604681945784711423005313645126145745759152714934685183164055927038937409120425652974702782525129681396762700676149701579754919788317215521087273142926762127034850997169051623667193850400116169256327139463546783838092146245473203386871144630710399222756246671085271860636411398410855284825864536616405884427237781352843785072727233815841119350803938065666321971476291586898188226412488349063225778901440579317061900293133011224128926432859716371751296839573545202255182229783200826353926319210776699978379541904951292706618584657290834141923577778328302090538578853304929175513298433544838641323982232193533970078983211305225767363713816835960884282954348304963987956218342557067423121947562750299694266179740505174576499541110130108379627886479106689227411649139620346199016410968866464907173159476768478357928378434079022852878011573257983114334949255013828159231663493389041491440169956469810554885500800517629498650681806638018311048634497085946597183503348317546436199705211058461639064247052762002456852402133966865902057973485874179550988121848740764963689918630972756561986600334566649943922567458322839633990089877226623221718870192380297624327084169212873644346570829001366317442612267110286161557936041619491248848202975009447511544812886510015853471511823860131331215174642429014204077039232161701958536194062130731208762482178411953466124578462486491190537578820132819738376675754863599785496930245962907567746158989438950299311567545877431667863518359274795678181963107799165793993498666399091774464126115142402283123758708640942606601332124390564161866249175398627252450517066046335997505719441216576686682966471263433677027748542034849711874105095460909754708277407712583928242711319999842616179171575312061107647966847348871576091860442265640620924688095822096075477160428381032240016914314642500751522033995416923044882184194083038307955217325334234830769032701804823784938048892884095914366283866904228866744298957735333033378197217942462568197819792889324384511261023083125891968230238252114743360351420447141790791820149782072268396809056349207430399111682138098784945940792051657387774485321743805858072627850216431758877043605495984103943274267776225769002301447378964144369474377054106724137656339621568005425664320531645349906189119670623396}
19715  98394421704750663478811374712347609837669325793606326215541224348974288: {157672,177381,768261,1083445,1280305,1300134,1516669,1536366,1830333,1930502,2166670,2264005,2600004,2716806,2757860,2853745,3309432,3424494,3681469,3723111,3860612,3939800,4432275,4727760,4979293,5042944,5236742,5318730,5515160,5673312,5687809,6059181,6204555,6382476,6410181,6468469,6618192,6654206,7386375,7445466,7481060,7878800,8863650,8977272,9240670,9299653,9371012,9454560,9722414,9902545,10084864,10099431,10479313,10487605,10605333,10636380,11072305,11088804,11260964,11345472,11883054,12344133,12366769,12435205,12585126,12674564,12763656,13038141,13286766,13384821,13387160,13601845,14018293,14077533,14359113,14767045,14922246,15060555,15349105,15805533,16064592,16318405,16322214,16453316,16495221,17398004,17480245,17720454,17734222,17952109,18072666,18106520,18418926,18768589,19057016,19245333,19582086,20369835,20400037,20976294,21439143,21727824,21778933,21981621,22113205,22690705,22843429,23065669,23267845,23460145,23671844,24443802,25382541,25572805,25645870,26148145,26227774,26535846,26629022,26736861,26812270,26872755,26914705,27228846,27297745,27349069,27489205,27921414,28152174,28267526,28445905,28664272,28761861,29142910,29442776,29668417,29783605,29905022,30687366,30775044,31377774,31833879,31991375,32072245,32174724,32247306,32297646,32477533,32571637,32633470,32643505,32757294,32788533,32987046,33123123,33329413,33648049,33816920,34135086,34185949,34971492,35037013,35740326,36120333,36784101,37167493,37433581,37778133,37827764,37874161,37897475,38041460,38044035,38212909,38389650,38486694,38714545,39160164,39172206,39263595,39470545,40127341,40382180,40580304,40603345,40948960,41734821,41881168,42044701,42063141,42253789,42271669,42676405,42721460,43028629,44368945,44597126,45141656,45476970,45649752,45652842,46058245,46067580,46217917,46321316,46457454,46530910,46742375,47116314,47182645,47184421,47268487,47364654,47931445,48260181,48305605,48458616,48508768,48634069,48724014,48837070,49094581,49138752,49182819,49438766,49891335,49904173,50579857,50784363,50912077,51211686,51265752,51355971,51596413,51812301,52154929,52410805,52480766,52605637,53217424,53242734,54139250,54346502,54375757,54456145,54515943,54572364,54589870,54641845,54976669,55081681,55269894,55281096,55437284,55448509,55837092,56090850,56242813,56403622,56574637,56619174,57064333,57250533,57517734,57673971,57886221,57929773,57966726,58494421,58550975,58604484,58712612,58838133,58971601,59102043,59194069,59830240,59869602,60036493,60194245,60457573,60457575,60471541,60531037,60825926,61116145,61298581,61314373,61469470,61882897,62191233,62443262,62510941,62773045,62892966,62940621,63339229,63710180,64016216,64059505,64094734,64488080,64936909,64967100,65134533,65308849,65347374,65395189,65507844,65570214,66626545,66763213,66973861,67309020,67358545,67526410,67602469,67865893,67957201,68217157,68250333,68557213,69298240,69615812,70261170,70359575,70537093,70727421,70944913,71191045,71796288,72018243,72035797,72233094,72234542,72549090,73159249,73339374,73763364,74944141,74945248,75138589,75150910,75237886,75327654,75345662,75368305,75792817,76230637,76452216,76635445,76859661,76871406,76953926,77385696,77481589,77637860,77857729,77960520,78075741,78397813,78568189,79196120,79404733,79715329,79774526,79893381,79951854,80770824,80820910,80830254,81031692,81100821,81402141,81994021,82648333,82670084,82890776,82980349,83157888,83349035,83505333,83644250,83665604,83875160,83969797,84104301,84313404,84343981,84431490,84813973,84937729,84996853,85271605,85429254,85667893,85896021,86008743,86162701,86472910,86665688,86894180,87058908,87705585,87757579,87951505,88354237,88750334,88813604,88848817,89095635,89185124,89204660,89224189,89377105,89500189,90046461,90060256,90181092,90187909,90341301,90441966,90622405,90750452,90867177,91105822,91248397,91373293,91453489,91812261,91962534,92752645,92755009,92985141,93127789,93165432,93252123,93284305,93552624,93862533,94346545,94359555,94446381,94608164,95035344,95037181,95230645,95902221,96015494,96189301,96192741,96290245,96387526,96466300,96773133,96985092,96995845,97106701,97221422,97498899,97876945,97886126,98220333,98820469,99053329,99087973,99291397,99451160,99662133,99798094,99856501,...,2916048604961123162434355945999667283753453154862217434355378266588998778908662216867631325975962170341809790989399923301798703409012184366340968056942417427695755632153253071901027725344559590105458474275167845021098502349884095740288116967470626160471438235269470154321289395958705737577986614993659421345707734950930193300219860840917989421401111148938828190172604209332568395456690583585101709522784062504339051692272743472567078725975567409649280429370481678360873109795040791490614725944949629164119365766151344840039884496999078336679416185626021090684968569618765774343595012660048474882366719438744698549717207056586206604802329758002717479665062604232116662356724737211935189911082140726985885079197943024673892329870161453771546053568475677615038140096476601572283243551096178790705090749964722220575982041121535058322537281195799778251360623969925505632594987907022918677067134507970467689218618638729072402027774746083890558406113680638479462054173787694522095144051014224552369632379682475823281630909714390143190552276495753577435500790775600174253884490709195320175757138219368209805080306716946065598834134370006627907790954617097616282927238796804924608826640856672029265677609090850723761679026205907098499482957214437380347282339618732523594838668352160868975592850439699516836193389649289574557626945259360317803382773344674801239530889478816165049967569312857426939059927876985936251212885366667492453135807868279957393763269947650317257961985973348290300955118474816957838651045570725253941326424431522457445981934327513835601134682921344125449541399269610757761864749311665195162569441829718660033841117473709430519298524616453299697360759739215152717536892567651118534279317017359886974671502423882520742238847495240083562237160254934704715832328251200776444247976022709957027466572951745628919895775255022476319654299557816587692458596370579143003685278603200950298853086960228811269326482182773111147445534877946459134842979900501849974915883851187484259450985134815839934832578305288570446436490626253819310466519856243502049476163918400665429242336904062429236873272304462514171267317219329765023780207267735790196996822761963643521306115558848242552937804291093196096813143723267617930199186867693729736785806368230199229607565013632295399678245395368944361351619238484158425448967351318816147501795277538912193517272944661698748690990247999598637661696189172713603424685638062961413909901998186585846242799373763097940878675775599069503996258579161824865030024449706895150515541622813052274567811157643191364632062416111568875892364066979999763924268757362968091661471950271023307364137790663398460931387032143733144113215740642571548360025371471963751127283050993125384567323276291124557461932825988001352246153549052707235677407073339326143871549425800356343300116448436602999550067295826913693852296729689333986576766891534624688837952345357378172115040527130670712686187730224673108402595213584523811145598667523207148177418911188077486081661727982615708787108941775324647638315565408243976155914911401664338653503452171068446216554211565581160086206484509432352008138496480797468024859283679505935094}
19716  98778653000613299208023989310726632878077032889719373024296719048857914: {137963,197090,236508,334883,374243,570923,669698,1024348,1733512,1950201,2048488,2084066,2098163,2215139,2304549,2440444,2721203,2895753,3070763,3187139,3250005,3380939,3447325,3466672,3622408,3900006,4075209,4136790,4412576,4424003,4539539,4565992,4655003,4825765,4924750,4964148,5130746,5136741,5231243,5364098,5499539,5690939,5790918,5909700,6073139,6303680,6530723,6761186,6893950,7091640,7404539,7564416,7669643,7855113,7978095,8078908,8272740,8509968,8537939,8546908,8650883,8801363,8824256,8989283,9214523,9351325,9573714,9664139,9770426,9776363,9848500,9927288,9981309,10000898,10921346,11043203,11168199,11221590,11380706,11713765,11818200,11969696,12068666,12263939,12337643,12606080,13295475,13465908,13861005,14056518,14076205,14096939,14140444,14181840,14351963,14570243,14583621,14785072,15078443,15127296,15843205,15844072,15954570,16162163,16458844,16521803,16633206,16674889,16733950,16780168,16891446,17018208,17274443,17384188,17453123,17715688,17824581,17846428,18130283,18662843,18770044,18877689,19011846,19145484,19326266,19896328,19930149,20080740,20566645,20879939,20984723,21074044,21340898,21419456,21577139,21747505,21762952,21993628,22097939,22383369,22444139,22616939,22633150,22677506,23237363,23546603,23627272,23649539,23752403,23821270,23992139,24096888,24265643,24451586,24483321,24558568,24679974,25081238,25660444,25762429,25776098,25794563,25996346,26097006,26098403,26109448,26132123,26435243,26580681,26601333,26636963,26656226,27039539,27106523,27108999,27159780,27206939,27307283,27628389,27968392,28439483,28585524,28704539,28936043,28970432,29299043,29308828,29373129,29430803,29589805,29923763,30087683,30120443,30153698,30958213,31464441,31586363,31877603,32039123,32591736,33483803,33515723,33675203,33843388,34259066,34374539,35101523,35227523,35330786,35381128,35479139,35507766,35649148,35830340,36305128,36398906,36646022,36665703,36803470,36822803,36825146,37228552,37536232,37566323,37658939,37888226,38349148,38468805,38642363,39131003,39341661,39498949,39556883,39647939,39803769,39943533,40011443,40218405,40554539,40644803,40843269,40845698,40915163,40916488,41033392,41304539,41394203,41543483,41811683,41837032,41882121,41900939,42228261,42271150,42401289,42434963,42445172,42701003,42899632,42996408,43063528,43676392,43714365,43718044,43758683,43875563,43982728,44164164,44191106,44196323,44399939,44632163,44748083,44857533,45412139,45513448,45699539,45756923,45785603,46031049,46162566,46357523,46565246,46628656,46699139,47066661,47209403,47284705,47551825,47653768,47829539,47885723,47910626,48160444,48262086,48370959,48446469,48585323,48950205,49045468,49135941,49480569,49501139,49556363,49721843,49956866,50364386,50370844,50462939,50477725,50725380,51062483,51186200,51202629,51279539,51315592,51631163,52191098,52213552,52229608,52351460,52357139,52390822,52437443,52457238,52677923,53236523,53401825,53610489,54006146,54107072,54159683,54787043,55409786,55646428,56014189,56084188,56104883,56284139,56335283,56427070,56741646,56743283,57005306,57062190,57098603,57123923,57174539,57402746,57584475,57730041,57901645,58180139,58553939,58740246,58752563,58758309,59184098,59369963,60168698,60225923,60395939,60444443,60517139,60573270,60635960,60866336,60870456,61423440,61765763,61908443,61943272,62027123,62192939,62322146,62476283,62735003,62821752,63152872,63435683,63713939,64082190,64346908,64404539,64611488,64678763,64844666,64965352,65230586,65381843,65518336,65577092,65651939,65987939,66166403,66521780,66720803,66895689,66919163,66960098,67357643,67488563,67712484,67901243,67915898,68009363,68215455,68282248,68289539,68354336,68474628,68479263,68653883,68677946,68717939,69083068,69101370,69185483,69296605,69481974,69686181,69796365,69942203,69983939,70192139,70606139,70674471,70914539,70990312,71046981,71180363,71465123,71525939,72489203,72529429,72628139,72687924,72763152,72786443,72924539,72963923,73086021,73160363,73255605,73277843,73390765,73511939,73570283,73575098,73609139,73693192,73708128,74149763,74158149,74322203,74417723,74449456,74787800,75043139,75174683,75247586,75287123,75455243,75492232,75734003,75826523,75832477,76212923,76334044,76377443,76486763,76690312,76817529,76831043,76898628,77181628,77243939,77288968,77422139,78139312,78192098,78353243,78374906,78450844,78681563,78721149,78733139,78802724,78818939,79548563,79637725,79749539,79826136,79864101,80013698,80020270,80032283,80296283,80574539,80610100,80818139,81027803,81059939,81172163,81208875,81519753,81727403,81858546,81884805,81931139,82195523,82349963,82518923,82539746,82580123,82656443,82808483,82898306,82904841,82921644,82974803,83155926,83527139,83755638,83792186,83821139,83857288,83920828,83923283,84010523,84136275,84140843,84513683,84605433,84641483,84928761,85076723,85146203,85558883,86097923,86257139,86276601,86362643,86611163,86622800,86846044,86908139,86950089,86980346,87019765,87035939,87074123,87129832,87157213,87263963,87343792,87414539,87426952,87439523,87601139,87785939,87906726,87968939,87993203,88068918,88210139,88471763,88530683,88731386,88775963,88880003,89086139,89120243,89165603,89334563,89401643,89457323,89590139,89601506,89721803,89745360,89804403,89992403,90184139,90215843,90268523,90310523,90341939,90549539,90672563,90985043,91000444,91103939,91238889,91503098,91511003,91568003,91675106,91894763,91958939,92095139,92113163,92204205,92273939,92405939,92765963,92899403,92915939,93063323,93160139,93255803,93279539,93451403,93474539,93489923,93664893,93681560,93790883,93871403,93943763,94068098,94169939,94303228,94320683,94339449,94493843,94539539,94655243,94667939,94730939,94805483,94945139,95016323,95138123,95177939,95440403,95450939,95565270,95590043,95595083,95654939,95669723,95713643,95728384,95766443,95813603,95869139,95923523,95928506,96015923,96024324,96075563,96142101,96162083,96190139,96310792,96358561,96379139,96455963,96492923,96525683,96541763,96610139,96619163,96645803,96688763,96729923,96732120,96751139,96797003,96818963,96849539,96973139,96982139,97024139,97031939,97047325,97078403,97083443,97120139,97124939,97136483,97147403,97148123,97166939,97168283,97171883,97175123,97179323,97179539,97180163,97450650,97604666,97785832,98021061,98261766,98271098,98351152,98355321,98995150,...,4374072907441684743651533918999500925630179732293326151533067399883498168362993325301446988963943255512714686484099884952698055113518276549511452085413626141543633448229879607851541588016839385158187711412751767531647753524826143610432175451205939240707157352904205231481934093938058606366979922490489132018561602426395289950329791261376984132101666723408242285258906313998852593185035875377652564284176093756508577538409115208850618088963351114473920644055722517541309664692561187235922088917424443746179048649227017260059826745498617505019124278439031636027452854428148661515392518990072712323550079158117047824575810584879309907203494637004076219497593906348174993535087105817902784866623211090478827618796914537010838494805242180657319080352713516422557210144714902358424865326644268186057636124947083330863973061682302587483805921793699667377040935954888258448892481860534378015600701761955701533827927958093608603041662119125835837609170520957719193081260681541783142716076521336828554448569523713734922446364571585214785828414743630366153251186163400261380826736063792980263635707329052314707620460075419098398251201555009941861686431925646424424390858195207386913239961285008043898516413636276085642518539308860647749224435821656070520923509428098785392258002528241303463389275659549275254290084473934361836440417889040476705074160017012201859296334218224247574951353969286140408589891815478904376819328050001238679703711802419936090644904921475475886942978960022435451432677712225436757976568356087880911989636647283686168972901491270753401702024382016188174312098904416136642797123967497792743854162744577990050761676210564145778947786924679949546041139608822729076305338851476677801418975526039830462007253635823781113358271242860125343355740382402057073748492376801164666371964034064935541199859427618443379843662882533714479481449336724881538687894555868714505527917904801425448279630440343216903989723274159666721168302316919688702264469850752774962373825776781226389176477702223759902248867457932855669654735939380728965699779784365253074214245877600998143863505356093643855309908456693771256900975828994647535670310901603685295495234142945465281959173338272363829406706436639794145219715584901426895298780301540594605178709552345298844411347520448443099517368093053416542027428857726237638173451026978224221252692916308368290275909416992548123036485371999397956492544283759070405137028457094442120864852997279878769364199060644646911318013663398604255994387868742737297545036674560342725773312434219578411851716736464787046948093624167353313838546100469999645886403136044452137492207925406534961046206685995097691397080548215599716169823610963857322540038057207945626690924576489688076850984914436686836192899238982002028369230323579060853516110610008989215807324138700534514950174672654904499325100943740370540778445094534000979865150337301937033256928518036067258172560790696006069029281595337009662603892820376785716718398001284810722266128366782116229122492591973923563180663412662986971457473348112365964233872367102496507980255178256602669324831317348371740129309726764148528012207744721196202037288925519258902641}
19717  99164374103069662954614746332769095327567658917049434798088596461795900: {19717,295635,315344,354762,1004547,1280435,1516823,1536522,1792427,2166890,2560610,2600268,3033338,3050555,3072732,3126099,3169607,3660666,3861004,3995243,4114583,4333340,4350827,4528010,5200008,5433612,5515720,5707490,5850009,5884619,6205185,6356963,6618864,6848988,7362938,7387125,7446222,7696119,7721224,7879600,8046147,8686377,8864550,9455520,9958586,10085888,10098635,10141779,10340925,10473484,10637460,10683635,10990499,11030320,11346624,11375618,12118362,12310625,12409110,12764952,12820362,12936938,13236384,13308412,13821683,13863563,14360571,14655639,14682647,14772750,14890932,14962120,15001347,15501227,15757600,16382019,16832385,17071059,17409287,17675555,17727300,17954544,18102999,18481340,18599306,18742024,18909120,19042583,19444828,19805090,20169728,20198862,20573555,20673863,20922803,20958626,20975210,21084777,21210666,21272760,21488747,21730235,22144610,22177608,22210199,22308035,22521928,22690944,22845767,23462555,23496803,23766108,23931855,24472343,24688266,24733538,24870410,24949809,25100925,25170252,25337169,25349128,25527312,25738739,26076282,26342555,26573532,26769642,26774320,27203690,27259427,27492035,28036586,28155066,28517769,28718226,28989399,29534090,29844492,30121110,30698210,30958487,31611066,31766987,32011347,32075555,32129184,32321627,32325347,32574983,32636810,32644428,32844203,32906632,32990442,33158819,33949725,34016259,34314347,34796008,34960490,35040599,35440908,35468444,35731905,35801927,35904218,36145332,36213040,36607403,36636035,36677379,36837852,37019961,37537178,37606643,37621857,37680587,38114032,38216843,38382539,38484887,38490666,38664147,38994519,39145509,39164172,39824267,39984339,40739670,40800074,41407379,41697047,41952588,42304235,42700823,42878286,43455648,43557866,43720907,43925219,43963242,44226410,44561435,44787925,44901143,44924219,45230547,45381410,45686858,45700907,46131338,46535690,46920290,47224823,47343688,47791799,47936435,48887604,49062563,49957427,50438519,50765082,51145610,51291740,51388599,51512843,51655319,52160267,52296290,52455548,52996179,53056465,53071692,53258044,53261649,53473722,53624540,53745510,53829410,53865923,54068123,54200363,54457692,54595490,54598359,54647555,54698138,54969033,54978410,55205205,55237719,55258763,55842828,56219003,56304348,56535052,56832339,56844683,56891810,57328544,57476627,57523722,58285820,58290803,58671779,58885552,58977659,59200163,59336834,59567210,59746967,59810044,59847959,60182387,60200555,60463799,60977579,61268547,61306835,61374732,61550088,61729847,61971863,62116523,62528519,62755548,62963555,63376499,63406725,63474683,63667758,63982750,64002467,64144490,64349448,64481543,64494612,64595292,64955066,64972427,65143274,65266940,65287010,65439325,65514588,65577066,65971883,65974092,66055703,66150683,66246246,66286659,66468779,66658826,67104023,67237307,67296098,67627847,67633840,67872839,68270172,68371898,68462459,69243849,69558035,69588947,69847869,69907043,69942984,69956627,70074026,70105235,70283387,70529603,70790903,70952219,71449859,71480652,71865939,72240666,72393129,72992243,73221719,73375127,73568202,73837307,74334986,74607947,74867162,74935299,75546579,75556266,75655528,75748322,75794950,75800603,76082920,76088070,76238603,76425818,76498583,76779300,76973388,77003783,77429090,78286647,78320328,78344412,78527190,78586233,78685857,78901979,78929843,78941090,79323299,79893827,80254682,80433635,80764360,81009219,81160608,81206690,81655667,81897920,81971365,83114679,83152225,83362019,83469642,83762336,83978423,84089402,84126282,84271943,84322403,84507578,84543338,84640605,84709619,85112469,85352810,85442920,85507959,85562603,85593285,86057258,86104119,86353835,86564939,86679959,87203099,87882263,87908087,88110369,88737890,88776147,88924643,89093603,89194252,89509403,89683307,90253047,90283312,90859905,90953940,91299504,91305684,91462907,91797299,91879547,92116490,92135160,92435834,92642632,92742743,92914908,93040343,93061820,93277163,93415187,93483219,93484750,94232628,94301963,94341563,94365290,94368842,94536974,94550999,94729308,94930403,95417555,95751107,95862890,96123285,96477035,96520362,96611210,96764723,96917232,97017536,97266999,97268138,97448028,97674140,97845879,98063555,98189162,98277504,98365638,98503405,98877532,99063467,99301619,99667463,99782670,99808346,99866759,...,5832097209922246324868711891999334567506906309724434868710756533177997557817324433735262651951924340683619581978799846603597406818024368732681936113884834855391511264306506143802055450689119180210916948550335690042197004699768191480576233934941252320942876470538940308642578791917411475155973229987318842691415469901860386600439721681835978842802222297877656380345208418665136790913381167170203419045568125008678103384545486945134157451951134819298560858740963356721746219590081582981229451889899258328238731532302689680079768993998156673358832371252042181369937139237531548687190025320096949764733438877489397099434414113172413209604659516005434959330125208464233324713449474423870379822164281453971770158395886049347784659740322907543092107136951355230076280192953203144566487102192357581410181499929444441151964082243070116645074562391599556502721247939851011265189975814045837354134269015940935378437237277458144804055549492167781116812227361276958924108347575389044190288102028449104739264759364951646563261819428780286381104552991507154871001581551200348507768981418390640351514276438736419610160613433892131197668268740013255815581909234195232565854477593609849217653281713344058531355218181701447523358052411814196998965914428874760694564679237465047189677336704321737951185700879399033672386779298579149115253890518720635606765546689349602479061778957632330099935138625714853878119855753971872502425770733334984906271615736559914787526539895300634515923971946696580601910236949633915677302091141450507882652848863044914891963868655027671202269365842688250899082798539221515523729498623330390325138883659437320067682234947418861038597049232906599394721519478430305435073785135302237068558634034719773949343004847765041484477694990480167124474320509869409431664656502401552888495952045419914054933145903491257839791550510044952639308599115633175384917192741158286007370557206401900597706173920457622538652964365546222294891069755892918269685959801003699949831767702374968518901970269631679869665156610577140892872981252507638620933039712487004098952327836801330858484673808124858473746544608925028342534634438659530047560414535471580393993645523927287042612231117696485105875608582186392193626287446535235860398373735387459473571612736460398459215130027264590799356490790737888722703238476968316850897934702637632295003590555077824387034545889323397497381980495999197275323392378345427206849371276125922827819803996373171692485598747526195881757351551198139007992517158323649730060048899413790301031083245626104549135622315286382729264124832223137751784728133959999527848537514725936183322943900542046614728275581326796921862774064287466288226431481285143096720050742943927502254566101986250769134646552582249114923865651976002704492307098105414471354814146678652287743098851600712686600232896873205999100134591653827387704593459378667973153533783069249377675904690714756344230081054261341425372375460449346216805190427169047622291197335046414296354837822376154972163323455965231417574217883550649295276631130816487952311829822803328677307006904342136892433108423131162320172412969018864704016276992961594936049718567359011870188}
19718  99551590747720548351719663072687521430424892948736795072590268963731130: {275926,374281,394180,473016,532143,610297,669766,728197,748486,1141846,1339396,2048696,2137381,2304783,3250335,3467024,3840915,3900402,4096976,4115977,4168132,4196326,4430278,4462981,4550007,4609098,4693957,4826255,4880888,5270137,5385157,5416675,5442406,5490999,5791506,6141526,6374278,6417097,6500010,6531397,6756071,6761878,6792015,6894650,6933344,7244816,7800012,7897381,8150418,8273580,8561235,8825152,8848006,9079078,9131984,9310006,9365497,9590281,9651530,9849500,9928296,10261492,10273482,10462486,10728196,10999078,11044357,11044407,11169333,11381878,11581836,11819400,12043897,12146278,12607360,13061446,13091855,13296825,13477381,13522372,13787900,14025481,14183280,14809078,14937879,15128832,15339286,15710226,15956190,16157816,16199881,16399271,16545480,16635515,17019936,17063427,17075878,17093816,17301766,17602726,17648512,17978566,18177543,18429046,18613665,18702650,19147428,19230543,19328278,19405407,19407481,19540852,19552726,19697000,19706687,19854576,19962618,20001796,21842692,22086406,22159125,22180487,22238917,22336398,22443180,22761412,22860997,23101675,23427530,23583481,23636400,23789257,23939392,24137332,24302437,24306035,24527878,24675286,25212160,26134981,26590950,26931816,27142981,27722010,27898959,28113036,28143781,28152410,28193878,28280888,28363680,28703926,28793303,28939237,29140486,29167242,29335237,29570144,29707635,29927077,30123781,30156886,30254592,30298293,30446507,31297957,31395337,31437939,31462815,31589881,31686410,31688144,31815999,31909140,32074981,32324326,32917688,33043606,33216915,33266412,33327817,33349778,33467900,33519481,33560336,33782892,34036416,34548886,34768376,34906246,35431376,35608777,35649162,35692856,36260566,36586979,37032399,37100307,37305615,37325686,37540088,37570597,37755378,38023692,38217481,38290968,38652532,38860837,39114423,39318217,39591781,39792656,39860298,39864697,40154463,40161480,40679557,40805535,41133290,41219557,41425727,41759878,41969446,42054879,42148088,42232599,42681796,42838912,43077339,43154278,43495010,43525904,43793017,43987256,44195878,44301135,44335555,44766738,44888278,45181665,45233878,45266300,45355012,45532537,45618757,45790981,46047315,46048777,46391497,46474726,47093206,47243257,47254544,47299078,47328037,47416599,47504806,47642540,47984278,48193776,48531286,48591097,48903172,48955215,48966642,49117136,49359948,49485663,49755337,50162476,50414281,50987077,51068617,51320888,51524858,51552196,51589126,51992692,52194012,52196806,52218896,52264246,52440735,52870486,53161362,53202666,53273926,53312452,53798137,53856327,54079078,54192517,54213046,54217998,54271177,54319560,54413878,54614566,55256778,55936784,56305767,56367781,56878966,57130981,57171048,57409078,57735999,57872086,57940864,58112377,58411897,58598086,58617656,58746258,58861606,59179610,59598457,59847526,60175366,60240886,60307396,61109505,61200111,61916426,62058697,62928882,63172726,63467017,63536677,63755206,64022281,64078246,64114675,64160377,64317429,64709881,64914757,65183472,65336799,65569435,65944863,66198587,66339615,66572555,66596857,66927877,66967606,67030675,67031446,67350406,67686776,67845157,67910137,68072115,68518132,68530287,68684281,68749078,69197007,69511237,69803535,70139077,70203046,70380435,70455046,70661572,70668815,70762256,70958278,71015532,71298296,71494981,71660680,71919097,72610256,72797812,72857275,73111417,73292044,73331406,73463497,73606940,73645606,73650292,74457104,74762555,75072464,75132646,75185017,75317878,75776452,76147623,76241797,76698296,76718415,76937610,77284726,77645797,78262006,78381637,78444435,78683322,78795781,78997898,79113766,79295878,79458937,79607538,79810981,79887066,80022886,80210583,80436810,80618265,80744115,81039481,81062303,81109078,81289606,81583675,81686538,81691396,81830326,81832976,81893235,82047207,82066784,82361977,82467615,82592197,82609078,82788406,83002057,83086966,83227237,83450617,83623366,83674064,83764242,83801878,84369157,84456522,84540517,84542300,84795397,84802578,84869926,84890344,85089481,85337715,85380037,85402006,85421257,85585417,85707781,85799264,85992816,86127056,86230537,86285583,86388937,86702281,87277381,87352784,87428730,87436088,87517366,87751126,87965456,88018981,88328328,88382212,88392646,88799878,88801477,89005251,89008837,89264326,89350815,89496166,89715066,89746981,90006757,90166777,90636037,90697381,90824278,91026896,91236517,91399078,91513846,91525957,91571206,91667977,91919077,92062098,92191237,92325132,92403781,92456197,92715046,92789881,93130492,93257312,93279481,93398278,93806917,94109317,94133322,94337017,94417657,94418806,94516837,94569410,95038981,95103650,95126281,95160697,95245477,95262217,95307536,95409637,95501637,95612281,95659078,95730937,95771446,95821252,95927497,95974125,95994277,96033481,96216735,96255097,96320888,96334981,96473977,96524172,96572617,96610057,96698617,96741918,96748297,96817957,96892938,96908281,96939781,96986437,97015247,97142281,97155781,97167481,97170646,97191781,97194697,97197577,97198117,97199881,97432599,97714911,97900410,97930515,98090936,98271882,98365599,98961138,99002278,99112726,99369369,99443686,99913732,99988239,...,8748145814883369487303067837999001851260359464586652303066134799766996336725986650602893977927886511025429372968199769905396110227036553099022904170827252283087266896459759215703083176033678770316375422825503535063295507049652287220864350902411878481414314705808410462963868187876117212733959844980978264037123204852790579900659582522753968264203333446816484570517812627997705186370071750755305128568352187513017155076818230417701236177926702228947841288111445035082619329385122374471844177834848887492358097298454034520119653490997235010038248556878063272054905708856297323030785037980145424647100158316234095649151621169758619814406989274008152438995187812696349987070174211635805569733246422180957655237593829074021676989610484361314638160705427032845114420289429804716849730653288536372115272249894166661727946123364605174967611843587399334754081871909776516897784963721068756031201403523911403067655855916187217206083324238251671675218341041915438386162521363083566285432153042673657108897139047427469844892729143170429571656829487260732306502372326800522761653472127585960527271414658104629415240920150838196796502403110019883723372863851292848848781716390414773826479922570016087797032827272552171285037078617721295498448871643312141041847018856197570784516005056482606926778551319098550508580168947868723672880835778080953410148320034024403718592668436448495149902707938572280817179783630957808753638656100002477359407423604839872181289809842950951773885957920044870902865355424450873515953136712175761823979273294567372337945802982541506803404048764032376348624197808832273285594247934995585487708325489155980101523352421128291557895573849359899092082279217645458152610677702953355602837951052079660924014507271647562226716542485720250686711480764804114147496984753602329332743928068129871082399718855236886759687325765067428958962898673449763077375789111737429011055835809602850896559260880686433807979446548319333442336604633839377404528939701505549924747651553562452778352955404447519804497734915865711339309471878761457931399559568730506148428491755201996287727010712187287710619816913387542513801951657989295071340621803207370590990468285890930563918346676544727658813412873279588290439431169802853790597560603081189210357419104690597688822695040896886199034736186106833084054857715452475276346902053956448442505385832616736580551818833985096246072970743998795912985088567518140810274056914188884241729705994559757538728398121289293822636027326797208511988775737485474595090073349120685451546624868439156823703433472929574093896187248334706627677092200939999291772806272088904274984415850813069922092413371990195382794161096431199432339647221927714645080076114415891253381849152979376153701969828873373672385798477964004056738460647158121707032221220017978431614648277401069029900349345309808998650201887480741081556890189068001959730300674603874066513857036072134516345121581392012138058563190674019325207785640753571433436796002569621444532256733564232458244985183947847126361326825325973942914946696224731928467744734204993015960510356513205338649662634696743480258619453528297056024415489442392404074577851038517805282}
19719  99940308692091612872164412162222286276462160449982304322567614456432070: {39434,413889,492725,591270,630688,709524,1004649,1122729,1674245,1712769,1792609,2009094,2383337,2560870,3033646,3073044,3584854,4270777,4333780,4862689,5121220,5200536,5210165,5850603,6066676,6101110,6145464,6252198,6294489,6339214,6645417,6913647,7104841,7321332,7722008,7990486,8163609,8229166,8666680,8687259,8701654,9056020,9212289,9561417,9750015,10142817,10164737,10341975,10400016,10867224,11031440,11414980,11700018,11769238,12225627,12311875,12410370,12713926,12826865,13237728,13272009,13410245,13618617,13697976,13703717,13965009,14138089,14477295,14725876,14774250,14892444,14957089,15392238,15410223,15442448,15693729,15759200,16092294,16498617,16534901,16902965,17072817,17234875,17372754,17729100,18219417,18911040,19592169,19917172,20171776,20197270,20283558,20681850,20946968,21274920,21367270,21980998,22060640,22213617,22693248,22751236,23008929,23565339,23934285,24236724,24426065,24621250,24726949,24745777,24818220,25002245,25529904,25613817,25640724,25873876,25952649,26248417,26404089,26472768,26616824,26967849,27303365,27643366,27643569,27727126,27768949,28053975,28210457,28451765,28721142,28802977,28992417,29311278,29329089,29365294,29493497,29545500,29781864,29924240,29943927,30002694,30171665,30422329,31002454,31231249,31515200,32057201,32764038,32847577,33129609,33504597,33664770,34142118,34818574,35141295,35351110,35454600,35896817,35909088,36128329,36205998,36791817,36879577,36962680,37012929,37198612,37484048,37818240,38085166,38351329,38488849,38889656,39610180,39886425,40339456,40397724,41147110,41347726,41411617,41583015,41834875,41845606,41917252,41950420,42169554,42228615,42290817,42421332,42545520,42977494,43055889,43460470,43584617,43710729,43750863,44289220,44355216,44420398,44616070,44905777,45043856,45235329,45381888,45691534,46925110,46993606,47529615,47532216,47863710,48022441,48315665,48486489,48944686,49376532,49467076,49527749,49565409,49740820,49899618,50024667,50201850,50340504,50464609,50674338,50698256,50896217,51054624,51184001,51290449,51477478,51823329,52152564,52359369,52685110,52963909,53147064,53352245,53473743,53539284,53548640,53720777,54390849,54407380,54518854,54984070,55988529,56073172,56310132,56481217,56493529,56582875,56633067,56693765,57035538,57299569,57436452,57978798,57983029,58296769,59068180,59225929,59553175,59688984,59790447,60048857,60242220,60766049,61128965,61396420,61533817,61630409,61699935,61916974,62386009,62639817,62703095,62954169,63222132,63533974,64022694,64151110,64153829,64258368,64440245,64643254,64650694,64731417,64990865,65149966,65242515,65273620,65288856,65688406,65813264,65980884,66293817,66317638,66571009,66640565,67111009,67150107,67332417,67616417,67850817,67899450,68032518,68628694,69592016,69712089,69920980,69963829,70081198,70639809,70881816,70936888,70948617,71257209,71457217,71463810,71532169,71603854,71808436,71976417,72290664,72426080,72796929,72920437,73214806,73272070,73354758,73449963,73675704,73733281,74039922,74279051,74304641,75074356,75213286,75243714,75361174,75384245,76228064,76433686,76506577,76765078,76969774,76981332,77116709,77287287,77328294,77383689,77684069,77989038,78131401,78291018,78295209,78328344,78396369,79078169,79305729,79648534,79742043,79803999,79910889,79968678,81068357,81118617,81319569,81326997,81479340,81600148,81620817,81915689,81921849,82524049,82666001,82814758,82885167,83394094,83905176,84280777,84436661,84608470,84718321,85318449,85401646,85647665,85756572,85829569,85857977,86113617,86145617,86808129,86911296,87115732,87441814,87850438,87897129,87926484,88119387,88148977,88292409,88326965,88452820,88769415,88867109,88903001,89122870,89575850,89771289,89802286,89848438,90263049,90361329,90461094,90762820,90997265,91373716,91401814,91615055,92008675,92062865,92262676,92344709,92774117,92874639,92903537,93071380,93745717,93840580,94393323,94449646,94687376,94720565,94759089,95057377,95120201,95583598,95632809,95868569,95872870,96117369,97381249,97775208,98125126,98147329,98687657,99653749,99914854,...,13122218722325054230954601756998502776890539196879978454599202199650494505088979975904340966891829766538144059452299654858094165340554829648534356256240878424630900344689638823554624764050518155474563134238255302594943260574478430831296526353617817722121472058712615694445802281814175819100939767471467396055684807279185869850989373784130952396305000170224726855776718941996557779555107626132957692852528281269525732615227345626551854266890053343421761932167167552623928994077683561707766266752273331238537145947681051780179480236495852515057372835317094908082358563284445984546177556970218136970650237474351143473727431754637929721610483911012228658492781719044524980605261317453708354599869633271436482856390743611032515484415726541971957241058140549267671630434144707075274595979932804558172908374841249992591919185046907762451417765381099002131122807864664775346677445581603134046802105285867104601483783874280825809124986357377507512827511562873157579243782044625349428148229564010485663345708571141204767339093714755644357485244230891098459753558490200784142480208191378940790907121987156944122861380226257295194753604665029825585059295776939273273172574585622160739719883855024131695549240908828256927555617926581943247673307464968211562770528284296356176774007584723910390167826978647825762870253421803085509321253667121430115222480051036605577889002654672742724854061907858421225769675446436713130457984150003716039111135407259808271934714764426427660828936880067306354298033136676310273929705068263642735968909941851058506918704473812260205106073146048564522936296713248409928391371902493378231562488233733970152285028631692437336843360774039848638123418826468187228916016554430033404256926578119491386021760907471343340074813728580376030067221147206171221245477130403493999115892102194806623599578282855330139530988647601143438444348010174644616063683667606143516583753714404276344838891321029650711969169822479000163504906950759066106793409552258324887121477330343679167529433106671279706746602373798567008964207818142186897099339353095759222642737632802994431590516068280931565929725370081313770702927486983942607010932704811055886485702428836395845877520014817091488220119309919382435659146754704280685896340904621783815536128657035896533234042561345329298552104279160249626082286573178712914520353080934672663758078748925104870827728250977644369109456115998193869477632851277211215411085371283326362594558991839636308092597181933940733954040990195812767983163606228211892635110023681028177319937302658735235555150209394361140844280872502059941515638301409998937659209408133356412476623776219604883138620057985293074191241644646799148509470832891571967620114171623836880072773729469064230552954743310060508578697716946006085107690970737182560548331830026967647421972416101603544850524017964713497975302831221111622335335283602002939595451011905811099770785554108201774517682372088018207087844786011028987811678461130357150155194003854432166798385100346348687367477775921770689541990237988960914372420044337097892701617101307489523940765534769808007974493952045115220387929180292445584036623234163588606111866776557776707923}
19720 100330533715716592726419923226157156661347332588647088970020168272216194: {59151,216799,453031,551852,748562,788360,886905,946032,1064286,1159999,1220594,1339532,1456394,1496972,2283692,2678792,2682871,2916079,3013641,3265351,3497839,3841305,4097392,4274762,4550469,4609566,4886719,5001991,5117191,5377281,5417225,5692111,6150751,6401525,6500670,6722431,6756757,6934048,7583345,7681830,7746919,7800804,8087119,8193952,8231954,8313559,8336264,8392652,8860556,8878399,8925962,9100014,9151665,9218196,9378297,9387914,9508821,9652510,9761776,9778399,10540274,10673791,10770314,10785391,10833350,10884812,10981998,11320025,11453479,11583012,11985729,12229639,12283052,12340231,12343749,12748556,12834194,13000020,13002271,13052481,13062794,13512142,13523756,13584030,13661719,13789300,13866688,14268725,14427799,14489632,14646031,15298999,15516079,15600024,15794762,16300836,16547160,16597159,17122470,17550027,17650304,17653857,17696012,17778031,18158156,18205279,18263968,18311911,18328597,18407345,18615555,18620012,18730994,19056319,19070889,19180562,19303060,19585879,19699000,19856592,20522984,20534551,20546964,20924972,21456392,21894559,21998156,22088714,22088814,22161375,22338666,22518151,22763756,23088357,23163672,23242399,23289721,23551711,23638800,24065791,24087794,24138441,24270919,24292556,24896465,25088551,25214720,25800199,26059131,26122892,26183710,26203397,26205271,26508319,26593650,26954762,27044744,27112471,27575800,28050962,28366560,28439045,28512079,29008519,29618156,29875758,30257664,30295905,30425337,30678572,31022775,31171471,31420452,31912380,32050905,32315632,32342345,32399762,32433199,32798542,32971497,33090960,33271030,34028449,34039872,34064791,34126854,34151756,34187632,34350559,34603532,35014831,35205452,35297024,35957132,36051559,36355086,36426391,36858092,36931875,37172599,37227330,37405300,37636639,38294856,38461086,38656556,38810814,38814962,39081704,39105452,39109471,39200911,39394000,39413374,39709152,39925236,40003592,40483817,40563871,41463511,41465049,41553079,41590689,43081713,43239157,43505359,43685384,43966917,44047941,44172812,44318250,44360974,44477834,44672796,44816479,44886360,45004041,45522824,45721994,45767671,45853711,45939679,46203350,46498265,46503681,46539439,46855060,47050711,47166962,47220559,47272800,47578514,47643919,47878784,47897071,48274664,48604874,48612070,48736231,48903199,49055756,49146057,49350572,49512725,49568191,50424320,50497155,51213177,51373159,52227861,52269962,52396565,52423351,52438025,52744039,53026665,53181900,53863632,54172879,54285962,54308997,54956599,55112479,55361525,55444020,55797918,56226072,56287562,56304820,56349151,56387756,56561776,56655439,56727360,57112711,57127749,57188671,57407852,57586606,57793759,57878474,57944311,58244551,58280972,58319431,58334484,58670474,58767199,59140288,59415270,59507719,59854154,60021799,60247562,60313772,60459631,60509184,60596586,60893014,60894871,61720665,61828999,61833845,61900351,61971631,62021589,62042839,62069777,62176025,62256031,62595914,62750959,62768409,62790674,62875878,62925630,63179762,63254331,63372820,63376288,63451879,63631998,63730231,63799639,63818280,63938239,64149962,64466241,64489759,64648652,65190705,65781151,65835376,65848399,66087212,66433830,66532824,66630597,66655634,66699556,66716071,66924105,66935800,67038962,67120672,67309639,67565784,67636879,67962319,68009225,68027191,68072832,68414911,68537301,68991631,69097772,69372871,69536752,69812492,69939871,70002511,70091465,70387665,70490409,70624951,70862752,71117719,71217554,71298324,71385712,71795565,72389311,72508759,72521132,72983671,73173958,73278151,73336831,73417029,73629151,73803679,73835225,74064798,74093119,74200614,74380759,74438071,74552479,74611230,74651372,74849427,75080176,75141194,75232879,75302775,75510756,75791959,76011507,76047384,76179031,76398631,76434962,76507999,76581936,76725871,76745525,76888519,77216217,77265511,77305064,77319079,77479351,77721674,77956279,78008911,78228846,78636434,79027665,79183562,79402759,79585312,79655119,79720596,79729394,80005399,80308926,80322960,80792791,80841391,81083311,81227599,81359114,81371239,81592025,81611070,81778281,81845359,82266580,82404799,82439114,82476105,82543039,82851454,83089519,83403511,83519756,83802031,83938892,83977279,84109758,84237991,84281191,84296176,84324319,84465198,84538879,84709231,84920551,85171759,85363592,85553307,85677824,85869439,86154678,86308556,86388919,86585479,86968197,86990020,87051808,87353719,87401225,87466471,87586034,87615799,87727039,87874351,87974512,88020511,88022297,88391756,88452079,88522999,88602270,88671110,88907911,89485639,89533476,89651599,89760545,89776556,89880919,90106711,90297439,90363330,90391831,90467756,90532600,90578671,90701791,90710024,91065074,91237514,91416319,91445191,91559959,91581962,91729951,91758031,91797209,91924999,92007511,92094630,92097554,92143591,92331079,92782994,92875461,92947111,92949452,93045751,93070231,93191551,93201577,93405391,93452119,93521671,93842945,93903559,94076071,94186412,94202431,94366879,94486514,94509088,94565959,94585471,94598156,94656074,94701031,94776631,94833198,94996519,95009612,95223031,95285080,95300961,95485111,95699311,95786791,95857711,95967439,95968556,95980831,96034041,96059671,96160759,96173071,96221599,96226665,96233551,96387552,96498799,96529039,96730999,96811279,96855991,96898111,96964881,96976041,96986311,97025119,97035559,97060399,97062572,97065151,97069831,97087831,97116559,97124119,97145071,97166239,97182194,97214839,97218871,97724949,97806344,97910430,97933284,98234272,98532609,98719896,98936341,98971326,99476457,99510674,...,17496291629766738974606135675998003702520718929173304606132269599533992673451973301205787955855773022050858745936399539810792220454073106198045808341654504566174533792919518431406166352067357540632750845651007070126591014099304574441728701804823756962828629411616820925927736375752234425467919689961956528074246409705581159801319165045507936528406666893632969141035625255995410372740143501510610257136704375026034310153636460835402472355853404457895682576222890070165238658770244748943688355669697774984716194596908069040239306981994470020076497113756126544109811417712594646061570075960290849294200316632468191298303242339517239628813978548016304877990375625392699974140348423271611139466492844361915310475187658148043353979220968722629276321410854065690228840578859609433699461306577072744230544499788333323455892246729210349935223687174798669508163743819553033795569927442137512062402807047822806135311711832374434412166648476503343350436682083830876772325042726167132570864306085347314217794278094854939689785458286340859143313658974521464613004744653601045523306944255171921054542829316209258830481840301676393593004806220039767446745727702585697697563432780829547652959845140032175594065654545104342570074157235442590996897743286624282083694037712395141569032010112965213853557102638197101017160337895737447345761671556161906820296640068048807437185336872896990299805415877144561634359567261915617507277312200004954718814847209679744362579619685901903547771915840089741805730710848901747031906273424351523647958546589134744675891605965083013606808097528064752697248395617664546571188495869991170975416650978311960203046704842256583115791147698719798184164558435290916305221355405906711205675902104159321848029014543295124453433084971440501373422961529608228294993969507204658665487856136259742164799437710473773519374651530134857917925797346899526154751578223474858022111671619205701793118521761372867615958893096638666884673209267678754809057879403011099849495303107124905556705910808895039608995469831731422678618943757522915862799119137461012296856983510403992575454021424374575421239633826775085027603903315978590142681243606414741181980936571781861127836693353089455317626825746559176580878862339605707581195121206162378420714838209381195377645390081793772398069472372213666168109715430904950552693804107912896885010771665233473161103637667970192492145941487997591825970177135036281620548113828377768483459411989119515077456796242578587645272054653594417023977551474970949190180146698241370903093249736878313647406866945859148187792374496669413255354184401879998583545612544177808549968831701626139844184826743980390765588322192862398864679294443855429290160152228831782506763698305958752307403939657746747344771596955928008113476921294316243414064442440035956863229296554802138059800698690619617997300403774961482163113780378136003919460601349207748133027714072144269032690243162784024276117126381348038650415571281507142866873592005139242889064513467128464916489970367895694252722653650651947885829893392449463856935489468409986031921020713026410677299325269393486960517238907056594112048830978884784808149155702077035610564}
19721 100722271620220831355329433611210496633301398901534735123988969502527560: {78868,689815,827778,985450,1122843,1182540,1261376,1419048,1596429,1674415,1830891,1871215,2009298,2184591,2245458,2343943,2383579,2816671,2854615,3348490,3425538,3585218,4018188,4766674,4980811,5121740,5689543,6067292,6146088,6278239,6412143,6914349,7169708,7294231,7695271,8541554,8667560,9725378,9751005,10242440,10401072,10420330,10490815,11075695,11522745,11701206,12012871,12133352,12202220,12290928,12347931,12504396,12588978,12678428,13290834,13388943,13606015,13650021,13827294,14081871,14209682,14372191,14478765,14642664,15315919,15353815,15444016,15810411,15935695,15980972,16155471,16250025,16327218,16458332,16472997,16731511,16904695,17236625,17333360,17374518,17403308,17675239,17957611,18112040,18424578,18774343,19122834,19251291,19500030,19594191,20268213,20285634,20329474,20376045,20683950,20800032,21734448,21785599,22062880,22120015,22697695,22829960,23072731,23275015,23400036,23538476,23664151,23692143,24128825,24359071,24451254,24623750,24820740,25427852,25653730,25683705,26156215,26475456,26544018,26820490,27237234,27357451,27395952,27407434,27497695,27930018,28096491,28276178,28454695,28770843,28954590,29451752,29548500,29784888,29914178,29924059,30365695,30784476,30820446,30884896,31387458,31518400,32184588,32487499,32653615,32997234,33069802,33133071,33133221,33339631,33507999,33658351,33768031,33805930,34145634,34196491,34469750,34745508,34855951,35003143,35458200,35646943,35900491,36131691,36438834,37022695,37822080,37885783,38224711,38348215,38456539,39184338,39275565,39832471,39834344,39890475,40139623,40343552,40394540,40432143,40567116,41363700,41893936,42076443,42240331,42266743,42423511,42549840,42689695,42734540,43254415,43961996,44006815,44121280,44427234,44813637,44946415,45386496,45502472,45523831,46017858,46072615,46756625,47130678,47198863,47868570,48320695,48473448,48599643,48649051,48712219,48852130,48881815,49197813,49242500,49453898,49491554,49636440,49906545,49919551,50004490,50192551,50595343,51059808,51189259,51190281,51227634,51281448,51612319,51747752,51905298,52496834,52808178,52945536,53233648,53935698,54148111,54532629,54606730,55216015,55286732,55287138,55354543,55454252,55537898,55840995,56107950,56260171,56420914,56903530,57081799,57166891,57440671,57442284,57525919,57605954,57691629,57984834,58216221,58222443,58568825,58622556,58658178,58730588,58986994,59091000,59120061,59212351,59563728,59848480,59887854,60005388,60055039,60343330,60476251,60490183,60844658,61317343,61319695,61688215,61901863,62004908,62462498,62530123,62580991,63030400,63488191,64114402,64956811,65328943,65415211,65523931,65528076,65695154,66259218,66477375,66541461,66688591,66716751,67009194,67329540,67641931,68238043,68284236,68578231,68582991,69305025,69637148,70282590,70381025,70484695,70558939,70562551,70702220,70750443,70909200,70966831,71367771,71759815,71793634,71815711,71818176,72256658,72411996,72851215,72907311,72918105,73181671,73583634,73743511,73759154,73925360,74025858,74397224,74693143,74968096,75018571,75161743,75392215,75636480,76170332,76702658,76977698,77124631,77505343,77779312,77881591,78404943,78818143,79216025,79220360,79371271,79429099,79739911,79772850,79910311,80678912,80795448,80810815,81428943,81826351,82294220,82609015,82673671,82695452,82823234,83041591,83166030,83374445,83669750,83691212,83696877,83834504,83900840,84339108,84431343,84445303,84457230,84581634,84842664,84963943,85022911,85091040,85171999,85570039,85580551,85694251,85954988,86111778,86189263,86372215,86379909,86817711,86835199,86920711,86920940,87169234,87265615,87421458,87462799,87501726,87784333,88005711,88359031,88381483,88578440,88710432,88840796,89122905,89232140,89251543,89327359,89527831,89781231,89811554,90046171,90087712,90216343,90259879,90371343,90470658,90651415,90763776,90894879,90987211,91276363,91339521,91383068,91481743,92783671,93156331,93296791,93314215,93434431,93850220,93888091,93893871,93987212,94186011,94313817,94388445,94743211,94769643,94773391,95059230,95064432,95447997,95727420,96044882,96224943,96631330,96972978,97611679,97696183,97889372,98753064,98934152,99055498,99118351,99130818,99322063,99481640,99650745,99799236,99983451,...,26244437444650108461909203513997005553781078393759956909198404399300989010177959951808681933783659533076288118904599309716188330681109659297068712512481756849261800689379277647109249528101036310949126268476510605189886521148956861662593052707235635444242944117425231388891604563628351638201879534942934792111369614558371739701978747568261904792610000340449453711553437883993115559110215252265915385705056562539051465230454691253103708533780106686843523864334335105247857988155367123415532533504546662477074291895362103560358960472991705030114745670634189816164717126568891969092355113940436273941300474948702286947454863509275859443220967822024457316985563438089049961210522634907416709199739266542872965712781487222065030968831453083943914482116281098535343260868289414150549191959865609116345816749682499985183838370093815524902835530762198004262245615729329550693354891163206268093604210571734209202967567748561651618249972714755015025655023125746315158487564089250698856296459128020971326691417142282409534678187429511288714970488461782196919507116980401568284960416382757881581814243974313888245722760452514590389507209330059651170118591553878546546345149171244321479439767710048263391098481817656513855111235853163886495346614929936423125541056568592712353548015169447820780335653957295651525740506843606171018642507334242860230444960102073211155778005309345485449708123815716842451539350892873426260915968300007432078222270814519616543869429528852855321657873760134612708596066273352620547859410136527285471937819883702117013837408947624520410212146292097129045872593426496819856782743804986756463124976467467940304570057263384874673686721548079697276246837652936374457832033108860066808513853156238982772043521814942686680149627457160752060134442294412342442490954260806987998231784204389613247199156565710660279061977295202286876888696020349289232127367335212287033167507428808552689677782642059301423938339644958000327009813901518132213586819104516649774242954660687358335058866213342559413493204747597134017928415636284373794198678706191518445285475265605988863181032136561863131859450740162627541405854973967885214021865409622111772971404857672791691755040029634182976440238619838764871318293509408561371792681809243567631072257314071793066468085122690658597104208558320499252164573146357425829040706161869345327516157497850209741655456501955288738218912231996387738955265702554422430822170742566652725189117983679272616185194363867881467908081980391625535966327212456423785270220047362056354639874605317470471110300418788722281688561745004119883031276602819997875318418816266712824953247552439209766277240115970586148382483289293598297018941665783143935240228343247673760145547458938128461105909486620121017157395433892012170215381941474365121096663660053935294843944832203207089701048035929426995950605662442223244670670567204005879190902023811622199541571108216403549035364744176036414175689572022057975623356922260714300310388007708864333596770200692697374734955551843541379083980475977921828744840088674195785403234202614979047881531069539616015948987904090230440775858360584891168073246468327177212223733553115553415846}
19722 101115528229405122690984005589410979444968560906111342328280551349338590: {98585,118302,256217,433598,453077,806921,906062,1103704,1199321,1241667,1478175,1497124,1576720,1773810,1892064,2128572,2215817,2319998,2441188,2679064,2722037,2912788,2955221,2993944,3013947,3188117,3368187,3498197,3536921,3730421,4540937,4567384,4656437,4887221,5022735,5138307,5357584,5365742,5377827,5462921,5692697,5832158,6027282,6402175,6418421,6530702,6761177,6995678,7150011,7520537,7584115,7682610,8125721,8194784,8352137,8549524,8653577,8916917,8962135,9100938,9219132,9442421,9667157,9773438,9779417,10003982,10234382,10376921,10616683,10754562,10834450,11384222,11491721,12230921,12267797,12301502,12452057,12803050,12812331,13001340,13150421,13444862,13480217,13513514,13868096,14101397,14588067,15166690,15252775,15300617,15336821,15363660,15493838,15553877,15601608,15630495,15848035,16095257,16174238,16275317,16387904,16463908,16627118,16634837,16672528,16785304,17279957,17458697,17551809,17721112,17756798,17851924,18200028,18303330,18436392,18562421,18756594,18775828,18881417,18883467,19017642,19093721,19270421,19305020,19523552,19556798,19623221,19799321,19936251,19976215,20572915,20740941,20991497,21080548,21314523,21347582,21540628,21570782,21666700,21754135,21769624,21896921,21963996,22243721,22640050,22727897,22906958,23166024,23588597,23657237,23760137,23971458,24307721,24459278,24490827,24566104,24680462,24687498,25328921,25497112,25668388,25770283,25803017,26000040,26004542,26061777,26104962,26125588,26208137,26544857,26847221,27024284,27047512,27148937,27168060,27215897,27316277,27323438,27516821,27578600,27636867,27717077,27733376,27850421,28216457,28537450,28647797,28684251,28855598,28979264,29011721,29250045,29292062,29423095,30032117,30428451,30494211,30597998,30784217,30967651,31025925,31032158,31174937,31200048,31304921,31589524,31784815,31985237,32275721,32436821,32601672,32758421,33094320,33194318,33399221,34244940,34354421,34386137,34855051,35018777,35100054,35300608,35307714,35333897,35392024,35556062,36055637,36274457,36316312,36410558,36430517,36527936,36623822,36657194,36676881,36814690,36935625,36990677,37207817,37231110,37240024,37461988,37640921,37671797,37826057,38112638,38141778,38361124,38480595,38594357,38606120,38747417,39144437,39171758,39327221,39398000,39661577,39713184,39814663,39816027,40230735,40568537,40658837,40855851,41045968,41069102,41093928,41111151,41139221,41288921,41408537,41849944,41895027,41915477,42414267,42912784,43431885,43510421,43627637,43789118,43996312,44177428,44177628,44322750,44677332,44871267,45036302,45246619,45279283,45527512,45801737,45859097,46116821,46176714,46230669,46327344,46373897,46484798,46544921,46579442,47081187,47103422,47254421,47277600,47395721,47649557,47844511,47846537,47986997,48099221,48131582,48175588,48276882,48490997,48541838,48585112,49495851,49604703,49656917,49792930,50177102,50426357,50429440,50481077,50493175,50708895,50835977,50999321,51218451,51379337,51600398,51704625,51784757,52118262,52245784,52367420,52406794,52410542,52456457,52910357,53016638,53187300,53255897,53418175,53811221,53909524,54089488,54205721,54224942,54658251,54952495,54963317,54989321,55145177,55151600,55352537,56101924,56125577,56381657,56662421,56733120,56764277,56878090,57024158,57145097,57195737,57271637,57800921,57826037,58017038,58426421,58774517,58776507,59236312,59751516,60515328,60539957,60591810,60757721,60850674,60902537,61263317,61357144,61553125,61931957,62045550,62074421,62342942,62758937,62840904,63483221,63738377,63807797,63824760,63969497,64101810,64498037,64631264,64658057,64684690,64799524,64866398,65097571,65316821,65519897,65597084,65879321,65942994,65991221,66125237,66181920,66542060,66640851,66746837,66857177,67011317,67121177,67318421,67515017,67667477,67971221,68056898,68079744,68100917,68129582,68253708,68294921,68303512,68375264,68701118,68745077,69021977,69026787,69108415,69149321,69207064,69317815,69382037,69466421,69781721,69970037,70029662,70074377,70410904,70510421,70594048,70696017,71453237,71554697,71615477,71802855,71914264,71938421,72103118,72339221,72710172,72717017,72852782,73052597,73131221,73278195,73307657,73355191,73413235,73600277,73697417,73716184,73833077,73863750,73987637,74180847,74237331,74345198,74454660,74581721,74810600,75006735,75243221,75273278,75318197,75411737,75820937,76079321,76189577,76463957,76589712,76736537,76841451,76922172,77168921,77313112,77329877,77506135,77507957,77621628,77629924,77702921,77857947,77967221,78037397,78163408,78210904,78218942,78229721,78401822,78745251,78766517,78788000,78818057,78826748,78852377,79212267,79414037,79418304,79430921,79515221,79833737,79850472,79867097,80007184,80016821,80674421,80755721,80903547,80917721,80967634,81062837,81094997,81127742,81143177,81398921,81731477,81910095,82416821,82555097,82662197,82738457,82890377,82927022,82930098,82930707,83011337,83106158,83181378,83306847,83326421,83829077,84161925,84351221,84565721,84631371,84636821,84721877,85355295,85760777,85814921,86163426,86283221,86362517,86408931,86415221,86478314,86567383,86728757,86977251,86986517,87010718,87046435,87075977,87114197,87177737,87367157,87370768,87641717,87752921,87887957,87933834,87987267,88009877,88046297,88070537,88095882,88287257,88345624,88377775,88465877,88480491,88636500,88721948,88817717,88955668,88956437,89059721,89162357,89345592,89444057,89632757,89632958,89665817,89731721,89772720,89831781,90008082,90216821,90259157,90385397,90514995,90726617,90787721,90838421,90929177,91045648,91148297,91266987,91344137,91443988,91469717,91535342,91574921,91707422,91879358,91940117,91949321,92004377,92140757,92221721,92346377,92406700,92451977,92486921,92744921,92795657,92946137,92996530,93007362,93078878,93326837,93397721,93522137,93693747,93710120,94099337,94101422,94141721,94333924,94383221,94441118,94543157,94545600,94582421,94588937,94836821,94892297,94965257,95013257,95157028,95171477,95212915,95228597,95279321,95287838,95554517,95580377,95671817,95721497,95757568,95794142,95804117,95935157,96077237,96153557,96171603,96178421,96194837,96239321,96243317,96359477,96378137,96392921,96411221,96443657,96496277,96516821,96520217,96549328,96596117,96646421,96673817,96709337,96814217,96829721,96916697,96949877,97018421,97043957,97045721,97056137,97080917,97093397,97116821,97180757,97182677,97185497,97186421,97191797,97199321,97209748,97224140,97226777,97232921,97234421,97238837,97239221,97472462,97806398,98111512,98128051,98292114,98542731,98701144,99025450,99136382,99388827,...,39366656166975162692863805270995508330671617590639935363797606598951483515266939927713022900675489299614432178356898964574282496021664488945603068768722635273892701034068916470663874292151554466423689402714765907784829781723435292493889579060853453166364416176137847083337406845442527457302819302414402188167054421837557609552968121352392857188915000510674180567330156825989673338665322878398873078557584843808577197845682036879655562800670160030265285796501502657871786982233050685123298800256819993715611437843043155340538440709487557545172118505951284724247075689853337953638532670910654410911950712423053430421182295263913789164831451733036685975478345157133574941815783952361125063799608899814309448569172230833097546453247179625915871723174421647803014891302434121225823787939798413674518725124523749977775757555140723287354253296143297006393368423593994326040032336744809402140406315857601313804451351622842477427374959072132522538482534688619472737731346133876048284444688692031456990037125713423614302017281144266933072455732692673295379260675470602352427440624574136822372721365961470832368584140678771885584260813995089476755177887330817819819517723756866482219159651565072395086647722726484770782666853779745829743019922394904634688311584852889068530322022754171731170503480935943477288610760265409256527963761001364290345667440153109816733667007964018228174562185723575263677309026339310139391373952450011148117333406221779424815804144293279282982486810640201919062894099410028930821789115204790928207906729825553175520756113421436780615318219438145693568808890139745229785174115707480134694687464701201910456855085895077312010530082322119545914370256479404561686748049663290100212770779734358474158065282722414030020224441185741128090201663441618513663736431391210481997347676306584419870798734848565990418592965942803430315333044030523933848191051002818430549751261143212829034516673963088952135907509467437000490514720852277198320380228656774974661364431991031037502588299320013839120239807121395701026892623454426560691298018059287277667928212898408983294771548204842794697789176110243941312108782460951827821032798114433167659457107286509187537632560044451274464660357929758147306977440264112842057689022713865351446608385971107689599702127684035987895656312837480748878246859719536138743561059242804017991274236246775314612483184752932933107328368347994581608432898553831633646233256113849979087783676975518908924277791545801822201862122970587438303949490818684635677905330071043084531959811907976205706665450628183083422532842617506179824546914904229996812977628224400069237429871328658814649415860173955879222573724933940397445528412498674715902860342514871510640218321188407192691658864229930181525736093150838018255323072912211547681644995490080902942265917248304810634551572053894140493925908493663334867006005850806008818786353035717433299312356662324605323553047116264054621263534358033086963435035383391071450465582011563296500395155301039046062102433327765312068625970713966882743117260133011293678104851303922468571822296604309424023923481856135345661163787540877336752109869702490765818335600329673330123769}
19723 101510309389329870363482709407697756244249494823084697645685854703085945: {157736,177453,650397,965741,1359093,1379630,1655556,1871405,1970900,2245686,2344181,2365080,2522752,2619701,2660715,2816957,2838096,3051485,3192858,3328793,3348830,3479997,3640985,3661782,3742430,3996461,4018596,4369182,4490916,4687886,4767158,5633342,5709230,5886413,6358901,6696980,6711221,6851076,7170436,7419737,8036376,8048613,8600597,8748237,9040923,9533348,9796053,9961622,10243480,10493517,10686905,11379086,11523915,12134584,12292176,12556478,12824286,13651407,13828698,14339416,14588462,14660157,14687141,15005973,15351573,15390542,15505973,16063037,16131843,16251675,17076333,17083108,17335120,18452253,18894221,19048421,19204575,19450756,19502010,20167293,20270271,20484880,20579885,20802144,20840660,20981630,21495341,22151390,22216997,22309973,22314905,22750035,23045490,23240757,23402412,23469785,23503997,23666573,24025742,24131275,24261357,24266704,24404440,24581856,24695862,24940677,25008792,25177956,25356856,25746617,26350685,26581668,26635197,26777886,26925785,27083375,27212030,27267773,27300042,27454995,27654588,28134891,28163742,28419364,28526463,28744382,28787993,28957530,29285328,29335197,30631838,30707630,30888032,30968021,31620822,31776773,31871390,31961944,32021373,32085485,32310942,32331533,32335241,32356173,32500050,32585021,32654436,32656985,32916664,32945994,33463022,33780355,33809390,33960075,34324853,34360437,34473250,34666720,34749036,34806616,35350478,35364797,35915222,35957187,36224080,36313241,36618701,36688917,36849156,37020693,37031247,37548686,37618157,38245668,38394317,38496773,38502582,38886221,39000060,39006813,39157443,39188382,39486905,39836573,39840701,39907673,40536426,40571268,40658948,40752090,40985157,41367900,41600064,42427853,42511973,42806175,43283397,43468896,43571198,43734293,43938093,44125760,44240030,45261821,45395390,45448637,45659920,45715061,45896997,46145462,46425293,46548237,46550030,46800072,46827485,47076952,47239301,47328302,47384286,47806517,47951405,48257650,48718142,48902508,49077677,49247500,49641480,49791477,50453957,50855704,51307460,51367410,51617621,51831773,52312430,52650081,52950912,52961571,53088036,53334093,53640980,53687501,54084677,54153653,54474468,54615837,54714902,54791904,54814868,54935733,54985791,54995390,55126361,55221785,55222035,55846665,55860036,56097557,56192982,56552356,56909390,57168957,57212667,57494333,57541686,57909180,57953621,58689737,58757637,58903504,58995833,59097000,59569776,59765573,59828356,59848118,59866277,60200813,60219485,60482477,60496397,60518477,60556181,60731390,60996377,61568952,61603653,61609541,61640892,61748741,61769792,62774916,62924981,63036800,63395897,63494117,64198397,64369176,64501661,64532921,64974998,65307230,65459275,65683677,65992181,65994468,66139604,66170957,66266142,66266442,66484125,66489293,66679262,67015998,67257893,67316702,67386905,67536062,67554453,67611860,67648973,67985177,68291268,68392982,68434541,68939500,69265071,69491016,69610253,69711902,69727197,69869163,69941693,69978233,70006286,70127405,70551197,70566221,70569773,70655133,70916400,70974137,71293886,71471933,71800982,72197373,72263382,72415323,72763661,72812757,72877668,73014701,73860053,73959353,74045390,74630813,74689395,75265653,75644160,75771566,75820793,75823961,76449422,76696430,76913078,77302421,77400597,77437373,77466941,78177393,78368676,78551130,78610191,78615813,78954041,79524957,79664942,79668688,79780950,80279246,80599277,80687104,80789080,80864286,80999405,81134232,81337413,81680693,81996355,82727400,83177575,83387837,83787872,84004301,84152886,84253877,84480662,84533486,84847022,84873113,85099680,85317135,85379390,85469080,85536237,85578797,85847573,86198117,86363501,86508830,86591573,86706533,87025557,87923992,88013630,88242560,88854468,89121077,89256077,89627274,89892830,90269117,90772992,90887715,91004944,91047662,91276011,91471421,91491161,91729277,91907741,92035716,92145230,92323037,93068325,93069317,93444053,93513250,93514413,94261356,94370477,94397726,94580117,94959701,95737140,95780453,96152715,96641390,96946896,97027035,97037405,97146677,97199286,97298102,97299597,97424438,97704260,97763630,98035157,98395626,98485000,98533435,98678573,98907796,98914491,98983108,99272880,99813090,99839102,99897533,...,52488874889300216923818407027994011107562156787519913818396808798601978020355919903617363867567319066152576237809198619432376661362219318594137425024963513698523601378758555294218499056202072621898252536953021210379773042297913723325186105414471270888485888234850462777783209127256703276403759069885869584222739229116743479403957495136523809585220000680898907423106875767986231118220430504531830771410113125078102930460909382506207417067560213373687047728668670210495715976310734246831065067009093324954148583790724207120717920945983410060229491341268379632329434253137783938184710227880872547882600949897404573894909727018551718886441935644048914633971126876178099922421045269814833418399478533085745931425562974444130061937662906167887828964232562197070686521736578828301098383919731218232691633499364999970367676740187631049805671061524396008524491231458659101386709782326412536187208421143468418405935135497123303236499945429510030051310046251492630316975128178501397712592918256041942653382834284564819069356374859022577429940976923564393839014233960803136569920832765515763163628487948627776491445520905029180779014418660119302340237183107757093092690298342488642958879535420096526782196963635313027710222471706327772990693229859872846251082113137185424707096030338895641560671307914591303051481013687212342037285014668485720460889920204146422311556010618690970899416247631433684903078701785746852521831936600014864156444541629039233087738859057705710643315747520269225417192132546705241095718820273054570943875639767404234027674817895249040820424292584194258091745186852993639713565487609973512926249952934935880609140114526769749347373443096159394552493675305872748915664066217720133617027706312477965544087043629885373360299254914321504120268884588824684884981908521613975996463568408779226494398313131421320558123954590404573753777392040698578464254734670424574066335014857617105379355565284118602847876679289916000654019627803036264427173638209033299548485909321374716670117732426685118826986409495194268035856831272568747588397357412383036890570950531211977726362064273123726263718901480325255082811709947935770428043730819244223545942809715345583383510080059268365952880477239677529742636587018817122743585363618487135262144514628143586132936170245381317194208417116640998504329146292714851658081412323738690655032314995700419483310913003910577476437824463992775477910531405108844861644341485133305450378235967358545232370388727735762935816163960783251071932654424912847570540440094724112709279749210634940942220600837577444563377123490008239766062553205639995750636837632533425649906495104878419532554480231941172296764966578587196594037883331566287870480456686495347520291094917876256922211818973240242034314790867784024340430763882948730242193327320107870589687889664406414179402096071858853991901211324884446489341341134408011758381804047623244399083142216432807098070729488352072828351379144044115951246713844521428600620776015417728667193540401385394749469911103687082758167960951955843657489680177348391570806468405229958095763062139079232031897975808180460881551716721169782336146492936654354424447467106231106831692}
19724 101906620968399564035688932888747767074689508462405862420087105212018219: {138019,197170,236604,512434,728419,846283,867196,906154,1613842,1812124,2069445,2207408,2398642,2463625,2483334,2488819,2956350,2994248,3153440,3368529,3537283,3547620,3769483,3784128,4257144,4348723,4431634,4639996,4695403,4789287,4882376,5023245,5358128,5386819,5444074,5492673,5501803,5613645,5825576,5910442,5961019,5987888,6027894,6376234,6533419,6553773,6736374,6996394,7031829,7073842,7150737,7460842,8371225,8450013,8563845,8805019,8963045,9081874,9134768,9312874,9368419,9774442,10045470,10276614,10378003,10617761,10715168,10731484,10755654,10925842,11385394,11664316,11916685,12054564,12269083,12546989,12804350,12821323,12836842,13061404,13522354,13991356,14248723,14300022,14942433,15041074,15168230,15338443,15365220,16251442,16389568,16704274,17068629,17099048,17307154,17603419,17833834,17924270,18138019,18201876,18438264,18834717,18884842,19236429,19307803,19334314,19546876,19558834,19836643,20007964,20258419,20468764,20743047,20753842,21233366,21353885,21509124,21668900,21725563,21882693,22187249,22246123,22764883,22768444,22983442,23085813,23797003,23899819,24313445,24412819,24461842,24535594,24603004,24904114,25606100,25624662,26002680,26042323,26050825,26300842,26850163,26889724,26960434,27027028,27736192,27966701,28053283,28202794,28802081,28948819,29176134,29253015,29443819,30035443,30333380,30455789,30505550,30601234,30673642,30727320,30987676,31107754,31203216,31260990,31405819,31472445,31503163,31696070,32190514,32279323,32348476,32550634,32775808,32927816,33227085,33243043,33254236,33269674,33345056,33434923,33570608,34390003,34559914,34568235,34917394,35103618,35243419,35442224,35513596,35524205,35620843,35703848,35715019,36038613,36400056,36598133,36606660,36872784,37043793,37124842,37513188,37551656,37676083,37762834,37766934,38035284,38187442,38540842,38610040,39047104,39113596,39246442,39598642,39787483,39872502,39952430,39969283,40166829,40693603,40783819,40818045,40950063,41145830,41192333,41323603,41481882,41982994,42161096,42245613,42573019,42629046,42695164,43081256,43116573,43141564,43333400,43368763,43436295,43508270,43539248,43793842,43896019,43927992,44487442,44498741,44769019,45202819,45280100,45455794,45548563,45634819,45721003,45813916,45947757,46061445,46150843,46332048,46407883,47177194,47314474,47344819,47429563,47431233,47520274,47807085,47942916,48466413,48615442,48750075,48918556,48981654,49132208,49360924,49374996,49418991,50194533,50657842,50714085,50823685,50994224,51087019,51336776,51540566,51606034,51709875,51817963,52000080,52009084,52123554,52209924,52251176,52382443,52416274,53025717,53089714,53473277,53694442,53817763,53872833,54048568,54095024,54291019,54297874,54336120,54369643,54431794,54632554,54646876,54761683,54996043,55033642,55157200,55273734,55385203,55434154,55466752,55700842,56235019,56323029,56432914,56543513,57074900,57295594,57304003,57368502,57711196,57753873,57833203,57958528,58023442,58209043,58500090,58508419,58584124,58782573,58846190,59177803,59694403,60064234,60789523,60804639,60856902,60988422,61078819,61128135,61195996,61559375,61568434,61797019,61935302,62051850,62064316,62349874,62400096,62609842,63179048,63561019,63569630,63970474,64134325,64551442,64873642,65203344,65356797,65516842,65550883,66022123,66188640,66289819,66360045,66388636,66798442,67020043,67051225,67936819,68093085,68325403,68489880,68518585,68583019,68708842,68772274,69218193,69601963,69710102,69825045,70037554,70104523,70200108,70229443,70601216,70615428,70667794,70690445,70784048,70992453,71076429,71112124,71645323,72111274,72386475,72548914,72632624,72667363,72821116,72861034,73055872,73077213,73200019,73247644,73314388,73353762,73493419,73551883,73629380,73726843,73871250,73981354,74415634,74462220,74480048,74785445,74923976,75216019,75281842,75343594,75652114,76225276,76283556,76656523,76722248,76933493,76961190,77051115,77188714,77212240,77494834,77625283,77731483,78258163,78288874,78343516,78466819,78468645,78654442,78796000,78932083,79323154,79426368,79442203,79543363,79629326,79632054,80461470,80686003,80929363,81137074,81170923,81317674,81711702,82072353,82091936,82138204,82187856,82222302,82278442,82493085,82577842,82628419,82674283,82674505,82817074,83038603,83353603,83699888,83790054,83830954,83929243,84190819,84289473,84514825,84828534,84875683,85252819,85364085,85459819,85825568,86174375,86269819,86309563,86312529,86467819,86863770,87012643,87020842,87203803,87255274,87578236,87992624,88312963,88354856,88355256,88384603,88645500,88843243,88878019,89221819,89354664,89742534,89772177,90049819,90072604,90210019,90241843,90368419,90493238,90558566,90863203,90953923,91055024,91097085,91603474,91718194,91964443,92233642,92353428,92461338,92502283,92528419,92654688,92658019,92747794,92811163,92969596,93089842,93158884,93765883,94162374,94206844,94508842,94555200,94566163,94605403,94778419,94791442,95299114,95313019,95476819,95571643,95689022,95693074,95768203,95854819,95973994,95979883,95993419,96175363,96198442,96261043,96263164,96308419,96320083,96351176,96465163,96517723,96538243,96553764,96627019,96718819,96751781,96762019,96981994,97037203,97044941,97048363,97064563,97083676,97159819,97170224,97197043,97205683,97257019,97462497,97538221,97960845,98991702,99209406,99313834,99399213,99399663,99585860,...,78733312333950325385727610541991016661343235181279870727595213197902967030533879855426045801350978599228864356713797929148564992043328977891206137537445270547785402068137832941327748584303108932847378805429531815569659563446870584987779158121706906332728832352275694166674813690885054914605638604828804376334108843675115219105936242704785714377830001021348361134660313651979346677330645756797746157115169687617154395691364073759311125601340320060530571593003005315743573964466101370246597600513639987431222875686086310681076881418975115090344237011902569448494151379706675907277065341821308821823901424846106860842364590527827578329662903466073371950956690314267149883631567904722250127599217799628618897138344461666195092906494359251831743446348843295606029782604868242451647575879596827349037450249047499955551515110281446574708506592286594012786736847187988652080064673489618804280812631715202627608902703245684954854749918144265045076965069377238945475462692267752096568889377384062913980074251426847228604034562288533866144911465385346590758521350941204704854881249148273644745442731922941664737168281357543771168521627990178953510355774661635639639035447513732964438319303130144790173295445452969541565333707559491659486039844789809269376623169705778137060644045508343462341006961871886954577221520530818513055927522002728580691334880306219633467334015928036456349124371447150527354618052678620278782747904900022296234666812443558849631608288586558565964973621280403838125788198820057861643578230409581856415813459651106351041512226842873561230636438876291387137617780279490459570348231414960269389374929402403820913710171790154624021060164644239091828740512958809123373496099326580200425541559468716948316130565444828060040448882371482256180403326883237027327472862782420963994695352613168839741597469697131980837185931885606860630666088061047867696382102005636861099502522286425658069033347926177904271815018934874000981029441704554396640760457313549949322728863982062075005176598640027678240479614242791402053785246908853121382596036118574555335856425796817966589543096409685589395578352220487882624217564921903655642065596228866335318914214573018375075265120088902548929320715859516294613954880528225684115378045427730702893216771942215379199404255368071975791312625674961497756493719439072277487122118485608035982548472493550629224966369505865866214656736695989163216865797107663267292466512227699958175567353951037817848555583091603644403724245941174876607898981637369271355810660142086169063919623815952411413330901256366166845065685235012359649093829808459993625955256448800138474859742657317629298831720347911758445147449867880794891056824997349431805720685029743021280436642376814385383317728459860363051472186301676036510646145824423095363289990980161805884531834496609621269103144107788280987851816987326669734012011701612017637572706071434866598624713324649210647106094232528109242527068716066173926870070766782142900931164023126593000790310602078092124204866655530624137251941427933765486234520266022587356209702607844937143644593208618848047846963712270691322327575081754673504219739404981531636671200659346660247538}
19725 102304468857447574052485677871948031131337042524213309716931869422601975: {295755,315472,354906,768651,1083995,1300794,1359231,1931482,2265155,2420763,2619967,2718186,2759260,3311112,3329131,3597963,3683339,3725001,3742810,3941800,4272079,4434525,4491372,4688362,4730160,5045504,5097379,5239402,5321430,5633914,5676192,5799995,6102970,6385716,6647451,6657586,6697660,6959994,7107007,7281970,7323564,7484860,7931443,7992922,8037192,8166111,8738364,8865663,8981832,9041841,9375772,9534316,9564351,10104561,10494591,10610763,11191263,11266684,11418460,11462363,11772826,12717802,13393960,13414355,13422442,13622811,13702152,13969311,14340872,14580395,14661663,14839474,14961667,15068205,15414921,15709139,16072752,16097226,16133481,16326755,16388763,17078091,17201194,17489195,17496474,18081846,18540323,19066696,19206525,19255263,19592106,19923244,20283531,20486960,20987034,21373810,21450033,22561611,22752345,22758172,23047830,24269168,24377163,24433595,24584352,25009955,25056411,25112956,25585955,25648572,25960731,26256451,26750751,26886405,27086125,27302814,27657396,27777451,28219103,28327263,28460555,28678832,28811839,29001471,29176924,29320314,29338251,29374282,29502539,30011946,30703146,30753755,30781084,31011946,31130763,31240867,31850049,32007625,32126074,32263686,32503350,32857699,33612155,33783785,34152666,34166216,34475163,34670240,36139387,36692763,36803391,36890959,36904506,37186523,37356171,37696099,37788442,37916725,38096842,38363071,38409150,38436993,38734595,38901512,39004020,39451263,40334586,40435595,40440651,40540542,40585387,40969760,41159770,41567795,41604288,41681320,41963260,42304191,42990682,43597979,43764201,44302780,44391995,44433994,44619946,44629810,44919679,45500070,45580859,45719779,45758325,45901851,45956443,46010463,46090980,46481514,46661631,46804824,46891485,46939570,47007994,47292497,47333146,47544105,48051484,48262550,48285771,48522714,48533408,48808880,48825951,48891995,49163712,49391724,49542947,49881354,49904511,50017584,50355912,50713712,51493234,51839871,52376091,52655427,52701370,53163336,53270394,53368955,53491243,53555772,53737343,53851570,53926955,54166750,54424060,54535546,54600084,54909990,55004939,55281667,55309176,55476899,55687263,56269782,56327484,56498611,56600125,56644251,56650401,56838728,57052926,57267395,57281163,57317107,57488764,57575986,57811263,57915060,58000891,58570656,58670394,58869663,58928179,58967423,59397963,59808753,59928645,60067403,60524671,61002643,61148195,61263676,61415260,61552651,61701155,61718745,61776064,61936042,62222823,62593883,62974491,63241644,63553546,63742780,63923888,63943569,64042746,64170970,64173491,64621884,64663066,64670482,64712346,65000100,65011355,65170042,65262405,65308872,65313970,65558479,65690763,65833328,65891988,66377663,66591391,66731163,66926044,67008131,67131967,67560710,67618780,67920150,68183691,68308595,68490643,68649706,68720874,68946500,69333440,69498072,69613232,70700956,70729594,70765791,70971711,71280411,71343625,71479291,71830444,71914374,72138995,72448160,72626482,72923163,72942763,73230155,73237402,73377834,73472481,73698312,73755967,74041386,74062494,75097372,75236314,75986763,76491336,76494995,76788634,76993546,77005164,77310499,77310849,77409051,77580395,77707907,77772442,78000120,78013626,78185331,78314886,78376764,78624411,78973810,79102547,79634571,79673146,79681402,79815346,80092939,80541663,81072852,81093203,81142536,81317896,81446811,81504180,81647691,81948831,81970314,82549471,82550463,82735800,82910601,82985795,83023019,83151231,83200128,83396443,83551263,84307279,84649371,84744427,84855706,85023946,85612350,85884299,85943391,86052753,86566794,86937792,87035163,87142396,87468586,87750135,87876186,88251520,88269285,88480060,88890155,90096351,90523642,90672443,90790780,90897274,91026395,91285353,91319840,91430122,91480783,91482633,91559555,91642985,91793994,92036725,92290924,92352651,92373011,92802779,92850586,92902953,92932019,93077775,93096474,93100060,93524811,93600144,93654970,93914763,94153904,94341667,94478602,94656604,94768572,95253691,95281595,95354445,95613034,95897951,95902810,95955711,96515300,96827163,97310463,97436284,97805016,97929395,98155354,98178367,98275263,98422559,98495000,98690143,98717903,99282960,99582954,...,118099968500925488078591415812986524992014852771919806091392819796854450545800819783139068702026467898843296535070696893722847488064993466836809206306167905821678103102206749411991622876454663399271068208144297723354489345170305877481668737182560359499093248528413541250012220536327582371908457907243206564501163265512672828658904364057178571566745001532022541701990470477969020015995968635196619235672754531425731593537046110638966688402010480090795857389504507973615360946699152055369896400770459981146834313529129466021615322128462672635516355517853854172741227069560013860915598012731963232735852137269160291263546885791741367494494355199110057926435035471400724825447351857083375191398826699442928345707516692499292639359741538877747615169523264943409044673907302363677471363819395241023556175373571249933327272665422169862062759888429891019180105270781982978120097010234428206421218947572803941413354054868527432282124877216397567615447604065858418213194038401628144853334066076094370970111377140270842906051843432800799217367198078019886137782026411807057282321873722410467118164097884412497105752422036315656752782441985268430265533661992453459458553171270599446657478954695217185259943168179454312348000561339237489229059767184713904064934754558667205590966068262515193511510442807830431865832280796227769583891283004092871037002320459329450201001023892054684523686557170725791031927079017930418174121857350033444352000218665338274447412432879837848947460431920605757188682298230086792465367345614372784623720189476659526562268340264310341845954658314437080706426670419235689355522347122440404084062394103605731370565257685231936031590246966358637743110769438213685060244148989870300638312339203075422474195848167242090060673323557223384270604990324855540991209294173631445992043028919753259612396204545697971255778897828410290945999132091571801544573153008455291649253783429638487103550021889266856407722528402311001471544162556831594961140685970324923984093295973093112507764897960041517360719421364187103080677870363279682073894054177861833003784638695226949884314644614528384093367528330731823936326347382855483463098394343299502978371321859527562612897680133353823393981073789274441920932320792338526173067068141596054339825157913323068799106383052107963686968938512442246634740579158608416230683177728412053973822708740325943837449554258798799321985105043983744825298695661494900938699768341549937263351030926556726772833374637405466605586368911762314911848472456053907033715990213129253595879435723928617119996351884549250267598527852518539473640744712689990438932884673200207712289613985976443948247580521867637667721174801821192336585237496024147708581027544614531920654963565221578074976592689790544577208279452514054765969218736634643044934986470242708826797751744914431903654716161682421481777725480990004601018017552418026456359059107152299897937069986973815970659141348792163863790603074099260890305106150173214351396746034689889501185465903117138186307299983295936205877912141900648229351780399033881034314553911767405715466889812928272071770445568406036983491362622632010256329609107472297455006800989019990371307}
19726 102703858969821265595440300720149055070375463022177214887270325451240534: {276038,335053,394340,473208,532359,571213,1024868,1456838,1692566,1734392,1812308,1951191,2897223,2916973,3227684,3266353,3382669,3449075,3624248,4077279,4138890,4414816,4797284,4927250,4966668,4977638,5003533,5118769,5233933,5614215,5693869,5912700,5988496,6306880,6724513,6737058,6838669,7032543,7074566,7095240,7538966,7568256,7859103,7982145,8372075,8450871,8514288,8697446,8863268,8993953,9154455,9279992,9356075,9390806,9578574,9764752,9986379,10046490,10439991,10716256,10773638,10788769,10888148,10900333,10922955,10985346,11003606,11227290,11234593,11651152,11719715,11820884,11917895,11922038,11975776,11989383,12055788,12344113,12454669,12548263,12752468,13066838,13107546,13472748,13992788,14063658,14083355,14147684,14273075,14301474,14921684,15303853,15629473,16170733,16683359,16710193,16742450,16900026,17127690,17462413,17610038,17659239,17890669,17926090,18163748,18269536,18317773,18424369,18625748,18736838,18956269,19076703,19548884,20090940,20133663,20553228,20646253,20756006,21235522,21430336,21462968,21511308,21851684,22005793,22259211,22629169,22770788,23328632,23662369,23833370,24109128,24145839,24538166,24904055,25093978,25198669,25608700,25642646,25673684,25801791,26122808,26244711,26314993,27044708,27122769,27221869,27982712,28447715,28497446,28600044,28720369,29117233,29388159,29611693,29884866,29895439,30082148,30104353,30336460,30676886,30730440,31391195,31480551,32056993,32060715,32502884,32637169,32779136,33408548,33694093,34038823,34137258,34198096,34571745,34614308,35121313,35206838,35404813,35667668,35848540,36276038,36403752,36471155,36532333,36876528,36999073,37464013,37669434,37769684,37834669,38472858,38476355,38615606,38664433,38668628,39093752,39117668,39122893,39214369,39673286,40015928,40215853,40496159,40516838,40577869,40668193,40937528,40954221,41477869,41486094,41507684,41567473,42466732,42707770,43018248,43252339,43337800,43451126,43696369,43765386,43980471,44061423,44374498,44492246,44658253,45005869,45017919,45529766,45536888,45869869,45955873,45966884,46054719,46171626,46517919,47237293,47594006,47799638,47914093,47998369,48189111,48395529,48626890,48753613,48755025,48825638,48837169,48923684,49071188,49206008,49336993,49668769,49733887,49808228,50493169,51212200,51228999,51249324,51797233,52005360,52084646,52101650,52454075,52601684,53700326,53779448,53920868,54054056,54192673,54772223,55356759,55378475,55472384,55598833,55933402,56106566,56405588,56682663,57145263,57209869,57285793,57604162,57613725,57897638,58341169,58352268,58506030,58789153,58887638,59530033,60064355,60070886,60117553,60501879,60555169,60666760,60810813,60911578,61011100,61202468,61347284,61454640,61739655,61923853,61975352,61995169,62066413,62215508,62406432,62521980,62565899,62774893,62811638,62944890,63006326,63195691,63392140,63824113,64381028,64486023,64558646,64696952,64720333,65101268,65536813,65551616,65806669,65855632,65873953,66142369,66454170,66486086,66508472,66539348,66650991,66690112,66869846,66874573,66929919,66944715,67141216,67401613,68030075,68053933,68118769,68250105,68441869,68780006,69119828,69136470,69722271,69834788,70030369,70092973,70207236,70342669,70409355,70486838,70511991,70884448,70999719,71027192,71048410,71153159,71241686,71407696,71430038,71512993,71860955,72077226,72393825,72784071,72800112,73072369,73196266,73213320,73307953,73366669,73659169,73717453,73745568,74087586,74249684,74468593,74583073,74822031,75026376,75103312,75352166,75432493,75525668,75533868,75878893,76070568,76265713,76374884,76485169,76579595,76769075,77081684,77220080,77239851,77351473,78041773,78094208,78094369,78227192,78408433,78492884,78874669,79052055,79197284,79436593,79574966,79678475,79689133,79745004,79889869,79904860,79905591,79938566,80089453,80333658,80777355,80876269,81118369,81166573,81250125,81310753,81387206,81549613,81567638,81636090,81786673,81803319,81900126,82291660,82364985,82384666,82579213,82647206,82716913,82963764,83216269,83657555,83662669,83883169,83965988,84275533,84318769,84322192,84361933,84404673,84491226,84523475,84789613,85000753,85146038,85210093,85258092,85390328,85579389,86162512,86183125,86233146,86283128,86363979,86388769,86625073,86666800,86737526,86872590,87016540,87078496,87204493,87394033,87587684,87792038,87855984,87915169,88005591,88061473,88097869,88376195,88599853,88974884,88984369,88997482,89156269,89528113,89538038,89788055,90117793,90340813,90405638,90435313,90466669,90560200,90911588,90958573,91097126,91269638,91442006,91489933,91627832,91633393,91690273,91803169,91831213,91895514,92052973,92080369,92122890,92189233,92301686,92664096,92815766,92843533,92904063,92993869,93092653,93117169,93141613,93499633,93569293,93615373,93841453,93871715,94060333,94145869,94334113,94354388,94628948,94634893,94654369,94689638,94859126,94862466,95040548,95273713,95330319,95456269,95614170,95706253,95853133,95885832,95923873,95926019,96033313,96046669,96064119,96226093,96256455,96286753,96632353,96751693,96874273,96889393,96932826,96953869,96994599,97005723,97068519,97076269,97097293,97121953,97126669,97131313,97169869,97202593,97221169,97230884,97248493,97258033,97275169,97278193,97500150,97755063,97837112,97963308,97970955,98264416,98721848,98749992,98837982,98966623,...,157466624667900650771455221083982033322686470362559741455190426395805934061067759710852091602701957198457728713427595858297129984086657955782412275074890541095570804136275665882655497168606217865694757610859063631139319126893741169975558316243413812665457664704551388333349627381770109829211277209657608752668217687350230438211872485409571428755660002042696722269320627303958693354661291513595492314230339375234308791382728147518622251202680640121061143186006010631487147928932202740493195201027279974862445751372172621362153762837950230180688474023805138896988302759413351814554130683642617643647802849692213721684729181055655156659325806932146743901913380628534299767263135809444500255198435599257237794276688923332390185812988718503663486892697686591212059565209736484903295151759193654698074900498094999911103030220562893149417013184573188025573473694375977304160129346979237608561625263430405255217805406491369909709499836288530090153930138754477890950925384535504193137778754768125827960148502853694457208069124577067732289822930770693181517042701882409409709762498296547289490885463845883329474336562715087542337043255980357907020711549323271279278070895027465928876638606260289580346590890905939083130667415118983318972079689579618538753246339411556274121288091016686924682013923743773909154443041061637026111855044005457161382669760612439266934668031856072912698248742894301054709236105357240557565495809800044592469333624887117699263216577173117131929947242560807676251576397640115723287156460819163712831626919302212702083024453685747122461272877752582774275235560558980919140696462829920538778749858804807641827420343580309248042120329288478183657481025917618246746992198653160400851083118937433896632261130889656120080897764742964512360806653766474054654945725564841927989390705226337679483194939394263961674371863771213721261332176122095735392764204011273722199005044572851316138066695852355808543630037869748001962058883409108793281520914627099898645457727964124150010353197280055356480959228485582804107570493817706242765192072237149110671712851593635933179086192819371178791156704440975765248435129843807311284131192457732670637828429146036750150530240177805097858641431719032589227909761056451368230756090855461405786433543884430758398808510736143951582625251349922995512987438878144554974244236971216071965096944987101258449932739011731732429313473391978326433731594215326534584933024455399916351134707902075635697111166183207288807448491882349753215797963274738542711621320284172338127839247631904822826661802512732333690131370470024719298187659616919987251910512897600276949719485314635258597663440695823516890294899735761589782113649994698863611441370059486042560873284753628770766635456919720726102944372603352073021292291648846190726579981960323611769063668993219242538206288215576561975703633974653339468024023403224035275145412142869733197249426649298421294212188465056218485054137432132347853740141533564285801862328046253186001580621204156184248409733311061248274503882855867530972469040532045174712419405215689874287289186417237696095693927424541382644655150163509347008439478809963063273342401318693320495076}
19727 103104797241467433538213007724410698784080833594942554790019264609807068: {19727,414057,492925,591510,630944,709812,1281085,1517593,1537302,2167990,2185257,2265385,2538849,2601588,2718462,3171217,3683713,3862964,4034605,4116673,4353037,4530310,4841526,5239934,5436372,5518520,5996605,6208335,6280153,6622224,6658262,7195926,7366678,7390875,7450002,7466457,7485620,7697617,7883600,8119993,8544158,8869050,8982744,9376724,9460320,9702733,10091008,10105587,10194758,10411249,10478804,10611849,10642860,11079085,11267828,11308449,11352384,11599990,12205940,12771432,13046169,13294902,13315172,13395320,13546429,13610185,13919988,14086209,14214014,14367861,14563940,14647128,14776105,14969720,15069735,15862886,15940585,15985844,16074384,16160457,16332222,16478019,16505409,16840935,17476728,17490985,17557273,17684605,17731326,17883057,17963664,18083682,18652105,18751544,18780097,19068632,19128702,19444729,19600257,19661319,20209122,20412553,20989182,21095487,21096253,21221526,21452211,22382526,22533368,22704685,22836920,22857457,22924726,23079793,23282185,23545652,24366529,24436105,24484873,25113675,25350039,25435604,25691535,26415057,26787920,26828710,26844884,26889135,27245622,27314605,27404304,27938622,28105257,28463485,28681744,29160790,29323326,29678948,29923334,29933233,30136410,30829842,31134009,31418278,31853283,32010875,32092105,32145504,32194452,32266962,32653510,32777526,33349849,33668653,33778393,33805885,34156182,34207033,34402388,34866637,34978390,34992948,35013937,35058529,35657857,35750055,35820337,36163692,36807249,37080646,37190329,37602685,37640967,37645837,37920575,38133392,38413050,38463969,38510526,39184212,39844777,39846488,40567062,40628605,40973920,41760685,41974068,42279697,42746169,42747620,42900066,43055257,43267885,43947709,44584585,44810675,44827299,45123222,45504690,45516344,45537769,46015329,46095660,46246273,47057017,47212105,47297299,48228217,48335785,48538336,48664033,48727153,48754326,48867190,48897085,49168704,49934929,50019910,50112822,50207953,50225912,50610829,50943313,51171910,51205033,51205887,51297144,51884605,51921462,52186957,52512902,52810257,53083415,53501502,53772810,54172250,54228433,54414057,54605628,55314792,55371529,55482577,55554902,56438206,56504151,56609833,56654526,56921110,57184417,57357664,57399613,57458605,57543673,57623678,57709287,57923409,58002942,58194913,58353848,58640628,58676502,58748564,59005078,59432833,59509929,60023892,60494929,60775257,61154605,61338985,61406292,61507510,61562168,62003593,62023892,62148793,62229141,62260285,62261526,62481734,62600329,63507769,63700098,64015250,64061655,64252148,64527372,65005837,65006700,65176689,65435233,65648079,65715398,65752105,66561747,66709009,66738369,66804529,67224310,67401085,67567570,67907569,68258929,68294649,68305332,68332432,68448793,68599249,68950326,69257439,69340480,70506985,70988749,71391009,71509453,71699457,71837953,72079993,72278774,72940335,73238457,73259209,73385526,73606782,73766089,73781918,73809012,73974589,74373046,74712342,74716537,75184897,75392198,75497737,75576884,75833450,76193684,76263875,76447897,76503085,76684105,76726142,76818300,76873986,77148397,77469190,77529097,77713849,77769385,77803024,78008040,78126969,78152475,78446329,78842329,78902526,79110673,79240175,79764493,80174353,80476285,80550489,80669172,80871190,80881302,81081084,81170774,81376585,81449929,81851437,81939520,82091833,82319540,82699009,83067073,83135590,83174185,83208576,83362640,83900103,83926520,84159849,84366073,84608382,85048969,85607473,85981364,86381617,86399785,86406243,86846457,86947537,87195958,87293485,87489613,87528402,87759045,88331457,88386217,88408729,88605560,88783990,88867988,88903693,88970173,89239892,89259620,89278897,89839358,90073777,90106329,91000140,91015897,91161718,91367367,91439558,91509997,91516650,91803702,91912886,92020926,92181960,92790433,92812105,92812333,92963028,93323262,93463297,93609648,93782970,93879140,93917329,94015988,94217457,94407085,94417335,94509489,94584994,94588633,94666292,94772257,94802473,95088210,95095489,95159713,95468605,95632033,96102968,96352105,96525100,96571542,96716077,96814993,96837969,97045428,97066816,97617760,97651902,97783990,98116105,98327424,98783448,98882113,98996605,99085894,99114157,99148729,99681255,99729129,99762708,99809022,99881075,...,236199937001850976157182831625973049984029705543839612182785639593708901091601639566278137404052935797686593070141393787445694976129986933673618412612335811643356206204413498823983245752909326798542136416288595446708978690340611754963337474365120718998186497056827082500024441072655164743816915814486413129002326531025345657317808728114357143133490003064045083403980940955938040031991937270393238471345509062851463187074092221277933376804020960181591714779009015947230721893398304110739792801540919962293668627058258932043230644256925345271032711035707708345482454139120027721831196025463926465471704274538320582527093771583482734988988710398220115852870070942801449650894703714166750382797653398885856691415033384998585278719483077755495230339046529886818089347814604727354942727638790482047112350747142499866654545330844339724125519776859782038360210541563965956240194020468856412842437895145607882826708109737054864564249754432795135230895208131716836426388076803256289706668132152188741940222754280541685812103686865601598434734396156039772275564052823614114564643747444820934236328195768824994211504844072631313505564883970536860531067323984906918917106342541198893314957909390434370519886336358908624696001122678474978458119534369427808129869509117334411181932136525030387023020885615660863731664561592455539167782566008185742074004640918658900402002047784109369047373114341451582063854158035860836348243714700066888704000437330676548894824865759675697894920863841211514377364596460173584930734691228745569247440378953319053124536680528620683691909316628874161412853340838471378711044694244880808168124788207211462741130515370463872063180493932717275486221538876427370120488297979740601276624678406150844948391696334484180121346647114446768541209980649711081982418588347262891984086057839506519224792409091395942511557795656820581891998264183143603089146306016910583298507566859276974207100043778533712815445056804622002943088325113663189922281371940649847968186591946186225015529795920083034721438842728374206161355740726559364147788108355723666007569277390453899768629289229056768186735056661463647872652694765710966926196788686599005956742643719055125225795360266707646787962147578548883841864641584677052346134136283192108679650315826646137598212766104215927373937877024884493269481158317216832461366355456824107947645417480651887674899108517597598643970210087967489650597391322989801877399536683099874526702061853113453545666749274810933211172737823524629823696944912107814067431980426258507191758871447857234239992703769098500535197055705037078947281489425379980877865769346400415424579227971952887896495161043735275335442349603642384673170474992048295417162055089229063841309927130443156149953185379581089154416558905028109531938437473269286089869972940485417653595503489828863807309432323364842963555450961980009202036035104836052912718118214304599795874139973947631941318282697584327727581206148198521780610212300346428702793492069379779002370931806234276372614599966591872411755824283801296458703560798067762068629107823534811430933779625856544143540891136812073966982725245264020512659218214944594910013601978039980742614}
19728 103507289631018059202483586048116539852595968718172486935656715403354870: {216887,374471,552076,571271,610607,670106,788680,807167,887265,925007,946416,1064718,1142426,1317287,2049736,2305953,2567207,2913676,2956127,3072647,3251985,3385132,3468784,3624616,3847607,3902382,4077693,4426727,4657871,4828705,4888727,5004047,5272847,5464607,5794446,5833946,5962247,6038687,6455368,6532706,6534767,6725207,6763271,6765338,6795465,6898150,7248496,7262289,7859901,7901471,8090471,8154558,8277780,8467871,8829632,8882087,9220271,9357025,9445367,9594568,9782471,9854500,9933336,9955276,9987393,10006847,10007066,10237538,10467866,10492007,10793889,10938647,11050017,11175003,11228430,11235767,11387738,11606447,11720905,11825400,11976992,12234767,12345407,12566471,12613760,12816237,12897527,13098505,13154567,13303575,13449026,13474116,13667471,13677338,13813727,14065086,14084785,14149132,14190480,14579471,15077932,15136512,15257425,15292137,15305471,15341687,15667271,15718206,15964290,16208471,16407601,16643965,16685053,16744150,16901742,17028576,17394892,17399985,17678567,17726536,17987906,18204925,18213047,18308910,18559984,18674807,18712150,18781612,18887471,19157148,19529504,19594271,19716697,19942353,19972758,19982305,20092980,20332967,20879982,21321021,21432512,21547276,21577538,21776296,21800666,21845910,21970692,22007212,22008167,22454580,22469186,23302304,23439430,23561927,23641768,23767871,23794329,23835790,23844076,23951552,23973527,23978766,24111576,24418127,24498333,24688226,24909338,24997487,25096526,25504936,25642271,26115527,26133676,26215092,26317871,26596989,26654471,26856047,26945496,27125523,27325271,27525887,27985576,28127316,28166710,28295368,28325471,28546150,28602948,28657271,28693053,28955207,29021327,29120447,29153471,29432065,29843368,30107687,30140471,30313683,30607706,31258946,31315367,31412807,31483773,31794505,31832289,32092871,32341466,33026207,33366718,33420386,33484900,33506327,33556105,33573789,33697871,33800052,33889127,34255380,34387089,34865677,34924826,35125271,35220076,35318478,35440271,35781338,35852180,36327496,36536471,36539072,36635546,36848738,37098685,37251496,37468271,37473676,37499207,37912538,38153406,39097768,39127367,39157871,39340727,39826801,40039007,40181880,40220471,40243065,40250687,40267326,40672871,40702967,40853327,40868433,41106456,41243327,41292506,41512012,41751287,41907933,42138167,42471044,42860672,42925936,43002985,43022616,43378847,43642871,43703368,43741185,43947673,43984989,44011586,44401967,44518422,44837447,44885001,45204615,45258338,45260413,45541576,45789167,45961271,46075847,46244763,46561367,46657264,46675271,47127417,47271167,47324738,47356007,47412527,47666740,47859097,48200447,48218256,48291678,48400443,48759407,48980265,49037687,49076332,49166289,49757471,49808110,50170271,50187956,50397338,50690567,51059617,51099287,51217400,51234273,51262271,51285292,51347368,51603582,51668471,51830447,52245616,52448687,52467585,52489422,52629986,52636007,53009471,53434525,53566727,53866897,54089416,54225527,54245538,54304247,54443738,54827207,54983471,55372871,55620969,55965424,56300087,56785271,56895430,56937887,56994892,57200088,57292871,57318167,57440738,57619575,57765789,58234466,58273487,58448207,58522967,58776318,58796471,58945247,59223386,59635727,59769732,59790878,60149471,60164296,60208706,60672920,60780647,60850593,61094207,61142327,61353772,61460880,61860287,61955471,62098007,62523887,62782390,62782871,62923727,62961102,63484271,63577247,63832271,64063271,64113986,64121430,64350099,64385327,64730809,64751471,64956527,65005768,65228927,65274338,65409887,65558272,65567807,65904887,66217871,66640127,66750767,66817096,67388186,67410407,67541471,67672247,67684833,67889567,67997927,68062847,68077646,68257035,68274516,68396192,69143490,69228616,69240287,69493967,69557207,69809447,69926593,69976967,70123127,70242626,70413676,70809626,71237471,71335336,71542871,71644271,71697080,71967407,72268487,72428327,72552076,72807504,72942310,72964007,73064666,73131489,73219847,73300785,73337471,73435705,73513367,73746887,73753056,73941517,73998146,74210471,74593271,74612327,74669447,74928026,75029865,75169233,75236687,75274247,75338868,75349271,75539368,75629471,75669338,76276271,76294607,76441007,76550471,76757865,76945716,76952710,77201207,77231212,77254967,77328866,77337256,77433647,77529865,77882193,78052727,78070271,78187504,78235336,78245786,78315047,78428738,78436847,78523607,78769353,78851471,79346572,79464767,79515407,79599647,80031856,80100887,80252253,80315185,80431706,80659215,80839247,80952647,80992318,81001127,81033676,81155738,81178271,81194327,81258375,81336386,81338471,81561407,81875056,81892871,81908442,82422047,82652567,82729007,82955738,82972188,82972271,83015368,83134946,83138327,83332353,83363207,83512127,84085271,84090097,84388847,84431927,84503567,84657309,84674687,84717287,84802271,84933464,84981789,85027487,85222871,85278407,85381665,85415540,85772471,86036496,86322527,86435517,86441471,86494127,86504678,86520407,86675600,86690447,86768471,86902252,87004413,87154271,87230567,87392738,87407471,87530772,87669887,87960942,88014753,88087271,88122846,88507271,88507617,88554647,88748996,88789607,88929047,88984492,89316506,89317871,89419247,89486471,89708471,89807327,89938127,89981471,90011738,90035838,90132167,90260087,90397367,90760247,90973271,90983327,91059532,91073776,91475927,91514471,91600727,91648367,91657871,91739738,91790087,91911746,91933768,92109438,92261265,92267447,92343252,92559167,92576567,92688887,92791367,92859047,92867471,92992871,93035838,93205967,93392289,93445127,93468647,93546527,93631271,93638927,93722601,93857471,93864887,93967871,94225487,94459271,94471105,94474586,94559471,94631807,94651367,94824167,94905287,94942271,95087327,95188012,95239271,95242105,95346887,95550147,95599276,95693207,95723471,95802767,95828186,95870471,95899007,95996738,96022875,96037367,96121271,96206471,96243767,96247871,96292487,96304487,96378222,96424271,96550271,96621167,96755327,96791058,96804287,96856271,96892727,96910367,97020767,97055447,97074767,97080407,97117871,97136087,97198007,97200527,97221767,97243271,97252271,97253780,97257287,97267871,97277471,97278047,97292567,97298447,97507226,97510050,97651276,97674338,97847368,98142376,98412016,98573097,98673986,99337538,99467774,99616456,...,354299905502776464235774247438959574976044558315759418274178459390563351637402459349417206106079403696529889605212090681168542464194980400510427618918503717465034309306620248235974868629363990197813204624432893170063468035510917632445006211547681078497279745585240623750036661608982747115725373721729619693503489796538018485976713092171535714700235004596067625105971411433907060047987905905589857707018263594277194780611138331916900065206031440272387572168513523920846082840097456166109689202311379943440502940587388398064845966385388017906549066553561562518223681208680041582746794038195889698207556411807480873790640657375224102483483065597330173779305106414202174476342055571250125574196480098328785037122550077497877918079224616633242845508569794830227134021721907091032414091458185723070668526120713749799981817996266509586188279665289673057540315812345948934360291030703284619263656842718411824240062164605582296846374631649192702846342812197575254639582115204884434560002198228283112910334131420812528718155530298402397652101594234059658413346079235421171846965621167231401354492293653237491317257266108946970258347325955805290796600985977360378375659513811798339972436864085651555779829504538362937044001684017712467687179301554141712194804263676001616772898204787545580534531328423491295597496842388683308751673849012278613111006961377988350603003071676164053571059671512177373095781237053791254522365572050100333056000655996014823342237298639513546842381295761817271566046894690260377396102036843118353871160568429978579686805020792931025537863974943311242119280011257707068066567041367321212252187182310817194111695773055695808094770740899075913229332308314641055180732446969610901914937017609226267422587544501726270182019970671670152811814970974566622973627882520894337976129086759259778837188613637093913767336693485230872837997396274715404633719459025365874947761350288915461310650065667800569223167585206933004414632487670494784883422057910974771952279887919279337523294693880124552082158264092561309242033611089839046221682162533585499011353916085680849652943933843585152280102584992195471808979042148566450389295183029898508935113965578582687838693040400061470181943221367823325762796962377015578519201204424788163019475473739969206397319149156323891060906815537326739904221737475825248692049533185236161921468126220977831512348662776396397965955315131951234475896086984484702816099305024649811790053092779670180318500123912216399816759106735286944735545417368161721101147970639387760787638307171785851359989055653647750802795583557555618420922234138069971316798654019600623136868841957929331844742741565602913003163524405463577009755712488072443125743082633843595761964890695664734224929778069371633731624838357542164297907656209903929134804959410728126480393255234743295710964148485047264445333176442970013803054052657254079369077177321456899693811209960921447911977424046376491591371809222297782670915318450519643054190238104069668503556397709351414558921899949887808617633736425701944688055341197101643102943661735302217146400669438784816215311336705218110950474087867896030768988827322416892365020402967059971113921}
19729 103911342119876390218627396612777058570588172910165718733693239358977781: {39454,690095,828114,985850,1005159,1183020,1261888,1419624,1597077,1713639,1793519,2562170,3035186,3074604,3171539,3642095,4117091,4231415,4335980,4353479,4370514,4530770,4865159,5077698,5203176,5436924,5648447,5853573,6342434,6713267,7367426,7421999,7725928,8010167,8069210,8233346,8395247,8603219,8691669,8706074,8750919,9060620,9683052,9799059,10148007,10347225,10371887,10479868,10844231,10872744,11037040,11993210,12231837,12318125,12416670,12444095,12560306,13244448,13316524,14391852,14733356,14781750,14900004,14932914,14971240,15010599,15356307,15395234,15510719,15701799,15767200,16239986,16842645,17081607,17088316,17686415,17738100,17965488,18753448,18847415,18920640,19054259,19405466,20173539,20182016,20211174,20389516,20516007,20686547,20822498,20957608,21097629,21223698,21285720,21743615,22158170,22316819,22535656,22551167,22616898,22704768,23199980,23477015,23511191,23577309,23946435,24411880,24487379,24758447,25116225,25352613,25542864,26092338,26112947,26589804,26630344,26790640,26934095,26981859,27092858,27220370,27276119,27463365,27509015,27839976,28068225,28172418,28428028,28735722,28796807,29127880,29294256,29552210,29805095,29939440,29959137,30139470,31319973,31725772,31786559,31881170,31971688,32148768,32320914,32366307,32595059,32664444,32667095,32700999,32768865,32956038,33010818,33681870,33703779,34210547,34335359,34953456,34981970,35114546,35159145,35369210,35375639,35462652,35753685,35766114,35927328,35968149,36167364,36324359,37032339,37304210,37364007,37503088,37560194,37629671,37644789,38137264,38240447,38257404,38889458,39200514,39322638,39848879,39852899,39919919,40418244,40825106,41432807,41856125,41978364,42074759,42190974,42192506,42250065,42443052,42819225,42904422,43747679,43952207,44025095,44765052,44815225,44928947,45066736,45275747,45409370,45673840,45714914,45849452,45911559,46159586,46439507,46564370,46842095,46888419,47091304,47253779,47328239,48512199,48733058,48872210,48969746,49092791,49129679,50050077,50130579,50227350,50700078,50871208,51383070,51633527,51687011,51890015,52387239,52643759,52830114,52977717,53088805,53575840,53657420,53672007,53689768,53778270,54101231,54491244,54629210,54808608,54953319,55143239,55273107,55877244,56114771,56210514,56868807,56880047,56926970,57230109,57363488,57512039,57971507,58321580,58326599,58464959,58536239,58646652,59014007,59236727,59357896,59583425,59846668,59866466,60096887,60219239,60272820,60400989,60515039,60575039,61345415,61358207,61659684,61938759,62009939,62268018,62418419,62734945,62836556,63513551,63706566,64021750,64106615,64184210,64291008,64388904,64533924,64552679,65307020,65555052,66017379,66096947,66424931,66699698,66777633,67278479,67337306,67556786,67611770,67670099,67887507,68006159,68312364,68414066,68455919,68804776,69631559,69733274,69950087,69956780,69963107,69985896,70027874,70117058,70572791,70588067,70987107,71243615,71315714,71494007,71500110,71640674,71845367,72327384,72437517,72638447,72785939,73266707,73614498,73882799,73982207,74161292,74316781,74380658,74712165,74997719,75205370,75281934,75291674,75596007,75841150,75844007,75847319,76266784,76692215,76826100,76927938,77021052,77051027,77405373,77490659,78368424,78734133,78944979,78950807,78978239,79689554,79692976,79772687,80442047,81134124,81257210,81368307,81665607,81947840,82052639,83521370,83948136,84030179,84279731,84404279,84559394,84874607,84899399,85343145,85492338,85495240,85616447,85800132,85874579,86110514,86161107,86224679,86535770,86733107,86871191,87164399,87351699,87895418,88017095,88164477,88417811,88835079,88979279,89148551,89169170,89283539,89564687,89621350,89654598,89686317,90246444,90313059,90690095,91009380,91032688,91075538,91757399,92030658,92052947,92191320,92492546,93472919,94114034,94173585,94361519,94424210,94441653,94594598,95106047,96170979,96182145,96259007,96456434,96539015,96671570,97076672,97176659,97328066,97454306,97508652,97734380,97794170,97911507,98337408,98709779,99183215,99362951,99705359,99869858,99928307,...,472399874003701952314365663251946099968059411087679224365571279187417802183203279132556274808105871595373186140282787574891389952259973867347236825224671623286712412408826997647966491505818653597084272832577190893417957380681223509926674948730241437996372994113654165000048882145310329487633831628972826258004653062050691314635617456228714286266980006128090166807961881911876080063983874540786476942691018125702926374148184442555866753608041920363183429558018031894461443786796608221479585603081839924587337254116517864086461288513850690542065422071415416690964908278240055443662392050927852930943408549076641165054187543166965469977977420796440231705740141885602899301789407428333500765595306797771713382830066769997170557438966155510990460678093059773636178695629209454709885455277580964094224701494284999733309090661688679448251039553719564076720421083127931912480388040937712825684875790291215765653416219474109729128499508865590270461790416263433672852776153606512579413336264304377483880445508561083371624207373731203196869468792312079544551128105647228229129287494889641868472656391537649988423009688145262627011129767941073721062134647969813837834212685082397786629915818780868741039772672717817249392002245356949956916239068738855616259739018234668822363864273050060774046041771231321727463329123184911078335565132016371484148009281837317800804004095568218738094746228682903164127708316071721672696487429400133777408000874661353097789649731519351395789841727682423028754729192920347169861469382457491138494880757906638106249073361057241367383818633257748322825706681676942757422089388489761616336249576414422925482261030740927744126360987865434550972443077752854740240976595959481202553249356812301689896783392668968360242693294228893537082419961299422163964837176694525783968172115679013038449584818182791885023115591313641163783996528366287206178292612033821166597015133718553948414200087557067425630890113609244005886176650227326379844562743881299695936373183892372450031059591840166069442877685456748412322711481453118728295576216711447332015138554780907799537258578458113536373470113322927295745305389531421933852393577373198011913485287438110250451590720533415293575924295157097767683729283169354104692268272566384217359300631653292275196425532208431854747875754049768986538962316634433664922732710913648215895290834961303775349798217035195197287940420175934979301194782645979603754799073366199749053404123706226907091333498549621866422345475647049259647393889824215628134863960852517014383517742895714468479985407538197001070394111410074157894562978850759961755731538692800830849158455943905775792990322087470550670884699207284769346340949984096590834324110178458127682619854260886312299906370759162178308833117810056219063876874946538572179739945880970835307191006979657727614618864646729685927110901923960018404072070209672105825436236428609199591748279947895263882636565395168655455162412296397043561220424600692857405586984138759558004741863612468552745229199933183744823511648567602592917407121596135524137258215647069622861867559251713088287081782273624147933965450490528041025318436429889189820027203956079961485228}
19730 104316960712303344699844637006994789958426393687359559136039590447884125: {59181,256321,433774,610669,748942,846541,1104152,1142542,1221214,1242171,1340212,1478775,1577360,1614334,1774530,1850014,1892832,2129436,2284852,2489581,2634574,3843255,3886669,4099472,4350061,4465729,4552779,4611906,4696849,5134414,5419975,5503501,5827352,5912254,5962861,6077521,6145294,6503970,6555771,6760187,6763969,6770264,6796155,6937568,7249232,7616547,7675201,7695214,7804764,8129089,8155386,8807761,8853454,8920621,9315742,9513651,9596269,9657410,9777454,10008094,10045261,10493101,10545694,10929214,11051139,11325775,11588892,11667892,11924494,12077374,12103815,12272941,12350019,12604609,12910736,13059111,13065412,13069534,13099835,13450414,13526542,13530676,13590930,13796300,14253229,14362561,14496992,14524578,15343309,15719802,15802942,16180942,16309116,16409267,16555560,16645655,16935742,17609041,17659264,17764174,17989815,18337907,18416695,18440542,18625005,18714050,18840459,18890734,19189136,19419949,19564942,19631629,19709000,19718699,19866672,19910552,19948609,19974786,20013694,20014132,20370241,20475076,20935732,20984014,21360395,21587778,21877294,22100034,22172625,22350006,22399371,22456860,22461121,22471534,22775476,22875841,23082769,23092851,23212894,23301551,23441810,23598829,23650800,23804749,23907601,23953984,24010381,24359979,24469534,24690814,25132942,25227520,25486895,25632474,25795054,26050861,26152129,26197010,26216707,26309134,26607150,26898052,26948232,27334942,27354676,27627454,27862669,27975227,28130172,28162369,28169570,28298264,28380960,28958401,28999975,29108199,29156689,29158942,30143809,30155864,30273024,30316761,30514850,30584274,30610942,30683374,31233747,31318849,31334542,31436412,31513681,31610989,31835547,31928580,32290129,32416942,32815202,33237255,33287930,33350221,33370106,33488300,33542029,33803484,33925347,34057152,34789784,34799970,35349841,35357134,35453072,35535035,35727121,35975812,36409850,36426094,36617820,37119968,37349614,37424300,37503469,37563224,37774942,37966609,38243629,38314296,38887489,39059008,39138507,39162349,39188542,39433394,39657215,39801169,39884706,39892141,39945516,39964610,40185960,40255309,40639287,40665934,40707649,40797901,40830555,41158189,41204891,41427649,41759964,42143041,42258627,42642042,42676561,42865024,43094552,43103583,43155076,43383889,43552592,43601332,43647949,43691820,43941384,44014424,44016334,44328315,44436241,44512307,44909160,44938372,45209205,45650881,45737101,45823249,46252909,46604608,46680769,46878860,46936621,46978547,47123854,47283536,47446381,47535742,47588658,47671580,47688152,47821755,47903104,47947054,47957532,48122029,48223152,48481371,48625741,48836254,48996666,49376452,49434057,49516227,49790989,49818676,49994974,50193052,50203729,50522805,50696641,51009872,51268429,51284542,51938159,52231054,52267352,52401421,52430184,52472955,52481809,52635742,52671819,53053815,53193978,53308942,53489579,53599681,53649171,53712094,53890992,54251046,54389521,54468109,54650542,55016209,55051774,55405549,55956315,55971152,56254632,56255761,56332621,56333420,56340291,56560751,56590736,56650942,56792269,57092300,57205896,57311815,57314542,57325249,57386106,57401101,57910414,58042654,58240894,58306942,58334187,58604941,58800771,58864130,58977361,58983957,59274001,59686736,59790349,60204179,60215374,60280942,60449041,60627366,60812461,61174081,61215412,61237659,61820461,62248141,62517892,62630734,62825614,62955181,62967546,63286461,63288759,63515629,63589010,63664578,64185742,64209709,64356633,64416529,64682932,65440909,66052414,66733436,66781549,66840772,66969800,66980161,67012654,67071775,67112210,67147578,67395742,67600104,67702861,67778254,67898449,68114055,68510760,68572371,68674321,68774178,69239379,69503149,69731354,69846555,69849652,70007149,70194961,70250542,70440152,70636956,70880542,71491501,71562676,71674129,71704360,72278209,72654992,72696781,72756289,72901975,72993601,73072942,73078144,73099587,73170829,73271092,73308315,73454619,73581841,73640269,73697476,74197370,74393281,74502992,74622529,74808335,74936542,74947352,74998414,75247021,75341025,75359629,75528001,75807181,75825076,76050117,76305169,76306812,76500047,76688461,77074605,77444461,77711041,77817169,78081229,78153251,78195536,78254734,78315742,78545695,78681454,78759361,78965569,79245171,79323661,79526701,79627789,79653602,79979329,80078014,80363760,80440942,80486130,80501374,80534652,80667405,81012781,81206029,81254161,81345742,81405934,81633775,81706654,81736866,81778861,81943815,82212912,82434061,82486654,82585012,82640519,82664641,82710541,83024024,83390401,83502574,83613421,83815866,84010321,84276334,84315771,84942088,85390455,85457089,85721344,85851872,85866769,86005970,86045232,86309101,86348881,86467789,86757694,86898241,87285742,87406736,87445975,87482370,87695821,87895346,87969978,88023172,88064461,88173649,88568461,88803934,88815169,88919821,89036844,89058349,89263981,89674894,89770002,89799699,89832529,90092881,90285121,90316909,90409230,90443341,90516676,90520826,90723601,90785089,90846289,90998029,91083152,91578334,91615681,91672849,91922542,92064961,92151694,92282689,92489526,92548369,92574541,92701615,92730061,92882989,93008449,93122734,93314528,93326221,93350542,93402027,93654829,93880909,94034881,94254834,94475629,94542334,94649476,94654801,94712014,94751821,94825054,94828141,94847041,95104081,95227309,95261869,95296141,95333480,95559849,95669569,95715469,95718194,95834701,96032625,96045841,96228289,96265549,96276315,96314221,96373441,96400894,96436512,96464449,96571729,96582061,96583356,96642541,96681421,96719149,96737581,96782401,96800886,96874669,96972481,97099201,97156621,97257709,97263469,97276609,97297489,97311169,97316929,97318189,97518814,97960530,98075374,98152664,98332578,99514942,99616220,...,708599811005552928471548494877919149952089116631518836548356918781126703274804918698834412212158807393059779210424181362337084928389960801020855237837007434930068618613240496471949737258727980395626409248865786340126936071021835264890012423095362156994559491170481247500073323217965494231450747443459239387006979593076036971953426184343071429400470009192135250211942822867814120095975811811179715414036527188554389561222276663833800130412062880544775144337027047841692165680194912332219378404622759886881005881174776796129691932770776035813098133107123125036447362417360083165493588076391779396415112823614961747581281314750448204966966131194660347558610212828404348952684111142500251148392960196657570074245100154995755836158449233266485691017139589660454268043443814182064828182916371446141337052241427499599963635992533019172376559330579346115080631624691897868720582061406569238527313685436823648480124329211164593692749263298385405692685624395150509279164230409768869120004396456566225820668262841625057436311060596804795304203188468119316826692158470842343693931242334462802708984587306474982634514532217893940516694651911610581593201971954720756751319027623596679944873728171303111559659009076725874088003368035424935374358603108283424389608527352003233545796409575091161069062656846982591194993684777366617503347698024557226222013922755976701206006143352328107142119343024354746191562474107582509044731144100200666112001311992029646684474597279027093684762591523634543132093789380520754792204073686236707742321136859957159373610041585862051075727949886622484238560022515414136133134082734642424504374364621634388223391546111391616189541481798151826458664616629282110361464893939221803829874035218452534845175089003452540364039941343340305623629941949133245947255765041788675952258173518519557674377227274187827534673386970461745675994792549430809267438918050731749895522700577830922621300131335601138446335170413866008829264975340989569766844115821949543904559775838558675046589387760249104164316528185122618484067222179678092443364325067170998022707832171361699305887867687170304560205169984390943617958084297132900778590366059797017870227931157165375677386080800122940363886442735646651525593924754031157038402408849576326038950947479938412794638298312647782121813631074653479808443474951650497384099066370472323842936252441955663024697325552792795931910630263902468951792173968969405632198610049299623580106185559340360637000247824432799633518213470573889471090834736323442202295941278775521575276614343571702719978111307295501605591167115111236841844468276139942633597308039201246273737683915858663689485483131205826006327048810927154019511424976144886251486165267687191523929781391329468449859556138743267463249676715084328595815312419807858269609918821456252960786510469486591421928296970094528890666352885940027606108105314508158738154354642913799387622419921842895823954848092752983182743618444595565341830636901039286108380476208139337007112795418702829117843799899775617235267472851403889376110682394203286205887323470604434292801338877569632430622673410436221900948175735792061537977654644833784730040805934119942227842}
19731 104724151435504240942936360281878022409088796942563472593005016492586277: {78908,650661,966133,1123413,1380190,1656228,1675265,1713813,1831821,1971700,2010318,2366040,2384789,2421501,2523776,2661795,2775021,2839248,2856065,3194154,3427278,3587038,3951861,4865653,4983341,5098933,5124340,5692433,5923981,6070372,6149208,6343078,6917859,7284190,7701621,7933861,8234182,8462830,8671960,8706958,8741028,8868381,9061540,9217941,9466561,9730318,9755955,10155396,10406352,10873848,11296894,11542821,11592109,11707146,12233079,12684868,12759989,13280181,13426534,13973613,14486115,14584865,14666181,14734852,14843998,15012141,15451856,15818541,16020334,16138420,16331765,16393821,16466692,16790494,16913345,17206438,17245375,17383338,17412148,17421733,17501838,17714561,17886741,18116061,18121240,19366104,19598118,19604301,20175621,20289813,20296014,20386395,20694450,20743774,20959736,21253541,21688462,21745488,21786867,22074080,23376929,23579703,23704413,23986420,24271413,24463674,24636250,24760981,24833340,24888190,25017665,25120612,25403613,25593845,26169665,26386381,26488896,26633048,26646261,27660813,27785953,28071075,28336101,28469345,28783704,29347413,29466712,29511581,29563500,29800008,29865828,29942480,29962179,30020541,30021198,30441061,30712614,30790468,31021438,31403598,31476021,31534400,32076869,32381667,32479972,32815941,32867821,33150051,33525009,33622565,33685290,33707301,34163214,34176632,34193345,34819341,35162715,35372830,35476200,35918861,35930976,36704301,37036221,37506896,37694830,37699413,37707733,37841280,38108518,38374813,38448711,38476229,38512621,38692581,38810932,39295515,39463701,39910725,40347078,40364032,40422348,40597813,40779032,41002413,41032014,41373094,41441181,41644996,41727133,41860375,41915216,42195258,42254355,42447396,42571440,43487230,43611341,43738413,44316340,44633638,44969765,45071312,45102334,45233796,45409536,45594833,45733933,45772275,45876411,45916413,46025061,46399960,46780375,46954030,47001813,47022382,47154618,47892870,48625413,48823760,48974758,49222803,49516894,49931895,50055159,50232450,50705226,51085728,52184676,52199955,52225894,53035701,53179608,53260688,53507701,53581280,53753909,53868190,53943845,53963718,54185716,54440740,54501665,54552238,54614775,54639141,54926730,55018030,55021901,55679952,56024421,56136450,56172965,56289101,56344836,56662413,56856056,57470081,57471444,57593614,58018753,58255760,58588512,58598575,58782813,58946221,58985501,59104420,59150091,59589475,59610190,59827059,59878880,59918274,59946915,60278940,60998901,61021441,61635133,61668221,61720565,62273345,62573221,62613221,62639946,62741315,63451544,63573118,63762340,63943376,63963063,64297536,64641828,64732614,65190118,65328888,65334190,65401998,65537730,65578933,65912076,66021636,66024501,66611773,67028693,67167109,67363740,67407558,67658261,68421094,68511781,68670718,69906912,69963940,70007041,70229092,70318290,70333633,70416775,70685781,70738420,70751278,70925304,71303613,71365375,71382987,71507370,71532228,71854656,71920581,71936298,72334728,72646021,72648718,72965089,73254381,73494999,73946741,74064678,74324327,74350229,74608420,74728014,74992461,75006176,75056981,75120388,75259342,75289578,76274528,76480894,76514808,76519265,76926813,77778916,78147365,78179509,78346581,78401028,78645276,78953613,79697758,79705798,79790967,79839838,79963413,80117461,80568141,80836488,80853665,81376569,81650212,81975813,82574893,82577661,82865614,83048621,83416795,83422261,83550965,83712250,83956728,84149518,84381948,84385012,84488513,84500130,84770533,84886104,84908161,84976413,85007633,85216109,85638450,85808844,85883581,85910621,85971813,86079159,86865621,87063981,87265441,87312065,87361341,87460413,87495358,87828923,87904414,87970933,88050190,88296195,88958309,89157709,89453345,89530104,89630450,89749261,89857894,90133472,90323061,90421413,90551494,90700241,90818740,90941049,91347680,91429828,91449149,91588865,91698904,91823118,92121845,92319172,92831441,92879014,92960501,93128740,93684190,93776838,93946101,94182608,94238421,94451319,94507558,94656478,94781345,95115781,95383515,95496867,96278613,96736001,97024398,97466116,97662389,97744420,97939492,98185582,98259358,98452733,99078621,99741061,...,1062899716508329392707322742316878724928133674947278254822535378171690054912207378048251618318238211089589668815636272043505627392584941201531282856755511152395102927919860744707924605888091970593439613873298679510190404106532752897335018634643043235491839236755721871250109984826948241347176121165188859080510469389614055457930139276514607144100705013788202875317914234301721180143963717716769573121054790782831584341833414995750700195618094320817162716505540571762538248520292368498329067606934139830321508821762165194194537899156164053719647199660684687554671043626040124748240382114587669094622669235422442621371921972125672307450449196791990521337915319242606523429026166713750376722589440294986355111367650232493633754237673849899728536525709384490681402065165721273097242274374557169212005578362141249399945453988799528758564838995869019172620947437037846803080873092109853857790970528155235472720186493816746890539123894947578108539028436592725763918746345614653303680006594684849338731002394262437586154466590895207192956304782702178975240038237706263515540896863501694204063476880959712473951771798326840910775041977867415872389802957932081135126978541435395019917310592256954667339488513615088811132005052053137403061537904662425136584412791028004850318694614362636741603593985270473886792490527166049926255021547036835839333020884133965051809009215028492160713179014536532119287343711161373763567096716150300999168001967988044470026711895918540640527143887285451814698140684070781132188306110529355061613481705289935739060415062378793076613591924829933726357840033773121204199701124101963636756561546932451582335087319167087424284312222697227739687996924943923165542197340908832705744811052827678802267762633505178810546059912015010458435444912923699868920883647562683013928387260277779336511565840911281741302010080455692618513992188824146213901158377076097624843284050866746383931950197003401707669502755620799013243897463011484354650266173732924315856839663757838012569884081640373656246474792277683927726100833269517138665046487600756497034061748257042548958831801530755456840307754976586415426937126445699351167885549089695526805341896735748063516079121200184410545829664103469977288390887131046735557603613274364489058426421219907619191957447468971673182720446611980219712665212427475746076148599555708485764404378662933494537045988329189193897865945395853703427688260953454108448297915073949435370159278339010540955500371736649199450277320205860834206636252104485163303443911918163282362914921515357554079967166960943252408386750672666855262766702414209913950395962058801869410606525873787995534228224696808739009490573216390731029267137464217329377229247901530787285894672086994202674789334208114901194874515072626492893722968629711787404414878232184379441179765704229887132892445455141793335999529328910041409162157971762238107231531964370699081433629882764343735932272139129474774115427666893348012745955351558929162570714312209005510669193128054243676765699849663425852901209277105834064166023591304929308830985205906651439202008316354448645934010115654332851422263603688092306966481967250677095061208901179913341763}
19732 105132920339715853873426769783925852924434114062441348431857172083657295: {98635,118362,453307,512642,867548,1221338,1395931,1497884,1693082,2070285,2208304,2285084,2442428,2464625,2484342,2680424,2917867,2957550,3015477,3154720,3228668,3383707,3499987,3549060,3700028,3732331,3785664,4258872,4569704,4791231,4979162,5120347,5140917,5235547,5269148,5380557,6039931,6405425,6840787,6954907,7587965,7686510,7773338,8198944,8318731,8545027,8700122,8931458,9105558,9223812,9393698,9514617,10008931,10268828,10839950,10903747,10926285,11007002,11326925,11349427,11654704,11824508,11925722,12155042,12290588,12351273,12458587,12569107,12694245,13007940,13060437,13111542,13340731,13520374,13527938,13540528,13592310,13670347,13875136,14498464,14595477,14655307,15233094,15350402,15390428,15525931,15609528,15856085,16258178,16283947,16310772,16945341,17467987,17560719,17615522,17706908,17841242,18339769,18418565,18430267,18631484,18962347,19027302,19068547,19192538,19280731,19314820,19554908,19809931,20016188,20090522,20139801,20173025,20583365,20986202,21091388,21765185,21858428,22102278,22117027,22265997,22651550,22740187,23177784,23303917,23335784,23773027,23848988,24030501,24154748,24207630,24286747,24545882,24700038,25002931,25185741,25209218,25783373,25809657,25821472,26075007,26118222,26130824,26139068,26199670,26219369,26252757,26900828,27029731,27053084,27061352,27181860,27331267,27592600,28506458,28725122,28729867,28993984,29027731,29049156,29225947,29397177,29904553,29983025,30444021,30686618,30983381,31041675,31115661,31400765,31439604,31605884,32361884,32454931,32532693,32618232,32648107,32818534,33111120,33291310,33871484,34659067,35218082,35318528,35511187,35528348,35681653,35979630,36451147,36675814,36695511,36833390,36881084,36954375,37250010,37332285,37428100,37680918,37781468,37847587,38378272,38488085,38769547,38839898,39129884,39227827,39263258,39418000,39437398,39733344,39821104,39897218,39949572,40027388,40028264,40599965,40682227,40740482,40950152,41312731,41581867,41760931,41871464,41968028,42207331,42720790,43175556,43711627,43754588,43799467,44200068,44345250,44673907,44700012,44798742,44913720,44922242,44943068,45021667,45031797,45550952,45751682,45972067,46068921,46143931,46165538,46185702,46425788,46532157,46603102,46743187,46883620,47105397,47197658,47254027,47301600,47423731,47609498,47815202,47907968,48015427,48020762,48267931,48513665,48719958,48854587,48938107,48939068,49381628,49749049,49769347,50265884,50455040,50527935,50757331,50973790,51244821,51264948,51328867,51590108,52056245,52101722,52304258,52394020,52433414,52618268,52942387,53059245,53214300,53579731,53796104,53896464,54212467,54669884,54709352,54788921,55152931,55254908,55395425,55520101,55696747,55725338,55950454,56260344,56324738,56339140,56542245,56596528,56761920,57162777,57307027,57916802,57987427,57999950,58216398,58313378,58317884,58811107,58959931,60066931,60287618,60311728,60520617,60546048,60633522,61029700,61157731,61168548,61221884,61366748,61548021,62018707,62059641,62089987,62467494,62584973,62637698,62669084,62872824,62939731,63027362,63214957,63221978,63292887,63500467,63671094,63857160,63987331,64580258,64833884,65230845,65630404,65899507,66033931,66235027,66474510,66575860,66700442,66740212,66900667,66950457,66976600,67084058,67164907,67606968,67653501,67732145,67850694,68050925,68114304,68145547,69060629,69427867,69579568,69599940,70120867,70431045,70432987,70533573,70699682,70714268,70731927,70906144,71070070,71454242,71602627,71839305,71951624,72567427,72819700,72852188,72865147,73235640,73396507,73462137,73747507,73880525,74239936,74275341,74613667,74699228,74848600,75006938,75126448,75294931,75348675,75463627,75549884,75933218,76057839,76487258,76571707,76628592,77774978,78118016,78127267,78277014,78324698,78338841,78377084,78866788,78908107,79314430,79571731,79602338,79702925,79769412,79784282,79891032,79929220,80236541,80371920,80510618,80802285,80813731,80945577,81201667,81278574,81331868,81415298,81595802,81632587,81661110,81828357,82244731,82316378,82390095,82409782,82476931,82527045,82798987,82855298,83252947,83519928,84204675,84286082,84356347,84399547,84517254,84647981,84699931,85284084,85353122,85730048,85825507,85947331,86189104,86207166,86310152,86390421,86467747,86546731,86767778,87105184,87202664,87244627,87295898,87383640,87454925,87786365,87808387,87882331,87882768,88028848,88032668,88138867,88423025,88605931,88656630,88872482,89024614,89232547,89368627,89415285,89570587,89802931,89818320,89876744,89877411,90193027,90384187,90418410,90510187,90911731,91301762,91474202,91505731,91646498,91649731,91876387,92125867,92153227,92362933,92505818,92607331,93040627,93164107,93188587,93209216,93260525,93361538,93476731,93547147,93663067,93757720,93873242,93900485,93957094,93959919,94247708,94257931,94567072,94703827,94892762,95071484,95078947,95177316,95343160,95359677,95376304,95643510,95666107,95806208,95890747,95894108,95915064,96099187,96165067,96244058,96303667,96446304,96467467,96500731,96586267,96657331,96692753,96857707,96898387,96962742,97062331,97098921,97138147,97148731,97173931,97183507,97188187,97218931,97223645,97231027,97238731,97251482,97281787,97332331,97333987,97672508,97785177,97993332,98001285,98102997,98306595,98752904,98868114,99032454,99581978,99637352,99989948,...,1417199622011105856943096989755838299904178233263037673096713837562253406549609837397668824424317614786119558420848362724674169856779921602041710475674014869860137237226480992943899474517455960791252818497731572680253872142043670529780024846190724313989118982340962495000146646435930988462901494886918478774013959186152073943906852368686142858800940018384270500423885645735628240191951623622359430828073054377108779122444553327667600260824125761089550288674054095683384331360389824664438756809245519773762011762349553592259383865541552071626196266214246250072894724834720166330987176152783558792830225647229923495162562629500896409933932262389320695117220425656808697905368222285000502296785920393315140148490200309991511672316898466532971382034279179320908536086887628364129656365832742892282674104482854999199927271985066038344753118661158692230161263249383795737441164122813138477054627370873647296960248658422329187385498526596770811385371248790301018558328460819537738240008792913132451641336525683250114872622121193609590608406376936238633653384316941684687387862484668925605417969174612949965269029064435787881033389303823221163186403943909441513502638055247193359889747456342606223119318018153451748176006736070849870748717206216566848779217054704006467091592819150182322138125313693965182389987369554733235006695396049114452444027845511953402412012286704656214284238686048709492383124948215165018089462288200401332224002623984059293368949194558054187369525183047269086264187578761041509584408147372473415484642273719914318747220083171724102151455899773244968477120045030828272266268165469284849008748729243268776446783092222783232379082963596303652917329233258564220722929787878443607659748070436905069690350178006905080728079882686680611247259883898266491894511530083577351904516347037039115348754454548375655069346773940923491351989585098861618534877836101463499791045401155661845242600262671202276892670340827732017658529950681979139533688231643899087809119551677117350093178775520498208328633056370245236968134444359356184886728650134341996045415664342723398611775735374340609120410339968781887235916168594265801557180732119594035740455862314330751354772161600245880727772885471293303051187849508062314076804817699152652077901894959876825589276596625295564243627262149306959616886949903300994768198132740944647685872504883911326049394651105585591863821260527804937903584347937938811264397220098599247160212371118680721274000495648865599267036426941147778942181669472646884404591882557551043150553228687143405439956222614591003211182334230222473683688936552279885267194616078402492547475367831717327378970966262411652012654097621854308039022849952289772502972330535374383047859562782658936899719112277486534926499353430168657191630624839615716539219837642912505921573020938973182843856593940189057781332705771880055212216210629016317476308709285827598775244839843685791647909696185505966365487236889191130683661273802078572216760952416278674014225590837405658235687599799551234470534945702807778752221364788406572411774646941208868585602677755139264861245346820872443801896351471584123075955309289667569460081611868239884455684}
19733 105543273498293799457253961592928592206582612486348479377463749207247887: {157816,177543,768963,1084435,1301322,1832007,1872355,1932266,2246826,2345371,2539623,2760380,2818387,2856355,3053035,3312456,3350530,3427626,3663642,3726513,3943400,3998491,4020636,4035835,4436325,4625035,4732080,4769578,4843002,4983847,5047552,5323590,5550042,5678496,5693011,5712130,5889403,6362131,6388308,6586435,6854556,7174076,7468743,7903722,8876131,9705691,9731306,9966682,10197866,10248680,10414423,11384866,11529765,11660007,11847962,12140744,12298416,12686156,12836035,13050183,13127227,13192531,13397187,13658337,13835718,14090547,14568380,14780635,15079987,15363235,15403242,15867722,16259925,16468364,16510503,16925660,17343920,17413916,17482056,17736762,17888583,18123080,18232563,18435882,18933122,19238035,19460636,19511910,19667313,19798627,20280561,20291907,20310792,20388465,20418811,20812704,21747696,22133635,22593788,22849641,22864471,23025603,23085642,23184218,23289355,23414292,23678683,24143525,24373987,24387267,24443635,24466158,24517267,24989131,25020235,25369736,25519978,26364235,26423283,26560362,26761863,26853068,27323035,27947226,28540953,28788807,28972230,29169730,29332362,29469704,29687996,29811235,29942407,30024282,30135783,30193435,30903712,31479303,31637082,32040668,32276840,32507431,32663530,32673835,32787642,32933384,33153417,33580988,33626035,33816355,33826690,33977325,34412876,34490750,34766676,34824296,34843466,34877323,35003676,35024731,35069287,35429122,35668771,35773482,35831383,36232122,36242480,36311445,36637531,36818823,37050057,37657363,37813827,37909027,38480167,38732208,38906131,39177333,39196236,39208602,39299505,39507355,39857083,40351242,40452355,40579626,40592028,40772790,41034631,41388900,41487548,41919472,42339355,42449563,42507082,42759687,43087683,43376924,43490976,43573734,44148160,44410435,45471907,45551707,46029927,46101355,46260451,46753858,46785125,47071591,47159406,47226835,47408826,47870683,47972840,48242983,48542826,48742087,48912355,48927348,49227801,49272500,49521962,49666680,49776380,49936965,49950307,50034235,50035330,50241224,50807226,50932603,50958931,51187690,51220807,52202971,52339330,52460035,52772762,52827123,52977792,53266096,53292522,53759431,53969445,54181363,54693235,55013721,55250085,55321626,55571906,55875015,56142150,56178835,56521377,56672202,56938690,57201943,57417187,57475963,57567408,58032235,58259847,58604525,58694826,58894887,58933424,59023162,59127000,59156097,59600016,59731656,59845827,59884960,59924358,60041082,60042396,60092131,60809491,60882122,61110723,61173835,61425228,61580936,61727035,62042876,62568487,62619667,62807196,62832355,62952042,62957671,63068800,63527347,64081185,64153738,64231267,64487635,64763334,64959944,65025883,65492525,65631882,65735642,65772835,66300102,66517875,66523483,66729427,67050018,67198113,67245130,67370580,67383363,67414602,67928407,68326428,68337355,68353264,68386690,68627523,69068635,69248307,69278553,69638682,69904653,70325430,70423925,70602631,70605883,70745660,70796487,70952400,71414247,71531347,71722803,71837722,71861952,72031143,72102091,72897355,73079937,73408602,73788667,73997443,74072442,74372947,75013792,75064663,75208051,75389660,75398826,75415466,75521383,75682560,76217036,76287125,76302331,76460685,76471303,76527355,76708435,76749626,76897422,76952458,77025242,77172163,77385162,77621864,78152583,78336355,78456387,78591030,78642151,78650121,78927402,79135051,79477831,79821450,79959763,80409127,80694156,80728064,80844696,81042355,81195626,81558064,81876523,81974251,82004826,82038005,82064028,82116967,82725907,82746188,82882362,83219825,83289992,83425265,83454266,83588007,83720750,83830432,83925681,84390516,84487107,84508710,84894792,85142880,85622587,86207203,86408791,86875203,86974460,86999925,87182683,87222682,87324597,87391603,87470067,87476826,87516427,87837841,88392835,88632680,88931131,89267276,89382931,89939530,90101383,90142624,90204668,90315307,90431427,90467592,90819072,90950283,91024625,91065235,91189666,91467866,91544550,91752822,91832826,91873507,92050122,92370307,92799920,92819047,93374035,93492163,93560750,93701241,93908060,93956547,94003626,94044764,94309236,94437355,94541043,94801303,94832967,95008531,95124643,95189347,95506641,95785740,96745963,96870387,97250826,97647520,97949516,97971355,97987027,98086087,98445606,98583485,99033788,99144571,99711765,99863790,99911525,...,2125799433016658785414645484633757449856267349894556509645070756343380109824414756096503236636476422179179337631272544087011254785169882403062565713511022304790205855839721489415849211776183941186879227746597359020380808213065505794670037269286086470983678473511443742500219969653896482694352242330377718161020938779228110915860278553029214288201410027576405750635828468603442360287927435433539146242109581565663168683666829991501400391236188641634325433011081143525076497040584736996658135213868279660643017643524330388389075798312328107439294399321369375109342087252080249496480764229175338189245338470844885242743843944251344614900898393583981042675830638485213046858052333427500753445178880589972710222735300464987267508475347699799457073051418768981362804130331442546194484548749114338424011156724282498799890907977599057517129677991738038345241894874075693606161746184219707715581941056310470945440372987633493781078247789895156217078056873185451527837492691229306607360013189369698677462004788524875172308933181790414385912609565404357950480076475412527031081793727003388408126953761919424947903543596653681821550083955734831744779605915864162270253957082870790039834621184513909334678977027230177622264010104106274806123075809324850273168825582056009700637389228725273483207187970540947773584981054332099852510043094073671678666041768267930103618018430056984321426358029073064238574687422322747527134193432300601998336003935976088940053423791837081281054287774570903629396281368141562264376612221058710123226963410579871478120830124757586153227183849659867452715680067546242408399402248203927273513123093864903164670174638334174848568624445394455479375993849887846331084394681817665411489622105655357604535525267010357621092119824030020916870889825847399737841767295125366027856774520555558673023131681822563482604020160911385237027984377648292427802316754152195249686568101733492767863900394006803415339005511241598026487794926022968709300532347465848631713679327515676025139768163280747312492949584555367855452201666539034277330092975201512994068123496514085097917663603061510913680615509953172830853874252891398702335771098179391053610683793471496127032158242400368821091659328206939954576781774262093471115207226548728978116852842439815238383914894937943346365440893223960439425330424854951492152297199111416971528808757325866989074091976658378387795731890791707406855376521906908216896595830147898870740318556678021081911000743473298398900554640411721668413272504208970326606887823836326564725829843030715108159934333921886504816773501345333710525533404828419827900791924117603738821213051747575991068456449393617478018981146432781462058534274928434658754458495803061574571789344173988405349578668416229802389749030145252985787445937259423574808829756464368758882359531408459774265784890910283586671999058657820082818324315943524476214463063928741398162867259765528687471864544278258949548230855333786696025491910703117858325141428624418011021338386256108487353531399699326851705802418554211668128332047182609858617661970411813302878404016632708897291868020231308665702844527207376184613932963934501354190122417802359826683526}
19734 105955217007800248305790615520988447721458826484415483346081633627444673: {138089,197270,236724,335189,728789,906614,925289,1025284,1043093,1435253,1735096,1951983,2442676,2567993,2684789,2791862,2898399,2957033,2995768,3073589,3190073,3370239,3386164,3450475,3539093,3732713,3771413,4140570,4416608,4428089,4543733,4570168,4884856,4890233,4929250,4968684,5005589,5025795,5120873,5141439,5274473,5360848,5389589,5495463,5696213,5835734,5915100,5964089,6030954,6040553,6078773,6155189,6309440,6422393,6457336,6727289,6767414,6841493,6999974,7098120,7154367,7264503,7400056,7464662,7571328,7752533,7985385,8325063,8357333,8517744,8568195,8884853,8967595,8997689,9139408,9582462,9673193,9958324,10009973,10047353,10240694,10281834,10471094,10538296,10623151,10761114,10942073,11053589,11350613,11721173,11855583,12079862,12349289,12459893,12607253,12810850,13011833,13681574,13909814,13927733,14438453,14596959,14911289,14950023,15175930,15296799,15373020,15527573,15546676,15563753,15857695,16397888,16637462,17077299,17090054,17400244,17612789,17684213,17771943,17791289,17862916,18210475,18211116,18325589,18447624,18574313,18787396,19029234,19105973,19318133,19847273,20017862,20444789,20537656,20585455,20753577,20795189,21157075,21389033,21679900,21767395,21807494,21852570,21911093,22014004,22119413,22198519,22465973,22535189,22653850,22698854,22777193,23104863,23309408,23569589,23649016,23672633,23801583,23809913,23851444,23981333,24084089,24310084,24323573,24325795,24581176,24702546,24917174,25107689,25138214,25345493,25388490,25785991,26015880,26056553,26120874,26124089,26223084,26225333,26461289,26605143,26681462,27032693,27040748,27055876,27066233,27081056,27184620,27340694,27534953,27653823,27735353,27750272,28068713,28235093,28242235,28399683,28816711,28996928,29030933,29130089,29190954,29229173,29267865,29310614,29624789,29953589,30466188,30471259,30543413,30700804,30780856,30986527,31000373,31051862,31219056,31423289,31520693,31712170,31909589,32458553,32516356,32567894,32621544,32651753,32780393,33421673,33566335,33890682,33996089,34628463,34694633,34776327,34935974,35042453,35121438,35231044,35263289,35413816,35420789,35682484,35892089,36299093,36616723,36679538,36699237,36837130,36860534,37109995,37202153,37262968,37604789,37851893,37924694,37975253,38054604,38137094,38279967,38385076,38561462,38629640,39109816,39140789,39232313,39354233,39597689,39619862,39840543,40032376,40050835,40181044,40279602,40346050,40596533,40717013,40807289,40867433,40957589,41166730,41347433,41497013,41855189,41920839,41972404,41976235,42182776,42212213,42745589,43016095,43129193,43458345,43530370,43540793,43716713,43716856,43754595,43833833,43961071,43998543,44204556,44234054,44531994,44795189,45036423,45303100,45373589,45480374,45805289,45891413,46092089,46177973,46355568,46577813,46607834,46671568,46748693,47287913,47372789,47455623,47457593,47546054,47697976,47880533,48061002,48133433,48309496,48415260,48573494,48860393,48995295,49091764,49181463,49400076,49802873,50005862,50371482,50418436,50740035,50763413,51036053,51335033,51566746,51619314,51642944,51736125,51859435,52150014,52236444,52261648,52265199,52278136,52399340,52438738,52467689,52505514,52655093,52735289,53143683,53612693,53660223,53665589,53801656,53883319,54059462,54106168,54122704,54221155,54245333,54324089,54348183,54363720,54402773,54533753,54662534,55159673,55185200,55185653,55961333,56320853,56397689,56839951,56958953,57012916,57035189,57339413,57415289,57450244,57459734,57987968,57994613,58055462,58098312,58170089,58370153,58451894,58469993,58544789,58619513,58794354,58812903,58967273,58992053,59041589,59338133,59658089,59731733,59809106,59966050,60074453,60512789,60526863,60803573,60869439,60888042,60948533,61117289,61159185,61189493,61373236,61590625,61883753,61955189,61966762,62083350,62121593,62220475,62231322,62263913,62311289,62547689,62801530,62879208,62947733,62971193,63018089,63211768,63531833,63760623,63787253,63995513,64018613,64410089,64478933,64707893,64723768,64750543,64909862,65065386,65236464,65296214,65360601,65637068,65705813,65930453,66064853,66176633,66222240,66582620,66997589,67173653,67698773,67742968,67919131,67981289,68089589,68154473,68477813,68628089,68735189,69055289,69204053,69318134,69584789,69647993,69947911,70067513,70130787,70151033,70213589,70380053,70436164,70637056,70690793,70739109,70876373,71022374,71056696,71113239,71184233,71363306,71510633,71551289,71959260,72716393,72814239,72878743,72902294,73052789,73190633,73347689,73351628,73391022,73543289,73601813,73666780,73699193,73762168,73776953,73823431,73873973,73908750,73964059,74163833,74282943,74413589,74451893,74500020,74642933,74664570,74700089,74757173,74856200,75052995,75305273,75361836,75548789,75562936,75695174,75865193,76210839,76252853,76472789,76527593,76709753,76756544,76781535,76800533,76927289,76976170,77287289,77341013,77466089,77519573,77539094,77553595,77679593,77679796,77768213,78138233,78259768,78455654,78508995,78522089,78526516,78781589,78836000,78874796,78987893,79073513,79159143,79466688,79549289,79583033,79599893,79642208,79794436,79851833,79899144,79938783,80002133,80054776,80056528,80300789,80825333,80922773,80987573,81036089,81199930,81229433,81277589,81309653,81364454,81480964,81617107,81644393,81834089,81900304,82038293,82488953,82625462,82688789,82734713,82765289,82811093,82982439,83163734,83174933,83325173,83357859,83489513,83521862,83742928,83888789,83936056,83991353,84064373,84213225,84253289,84325589,84414662,84426473,84469589,84755189,84797753,84896789,85008303,85009493,85107689,85316789,85408035,85441580,85482773,86335289,86351112,86361833,86441273,86494073,86730089,87270713,87334133,87423254,87509176,87535733,87598934,87710453,87834293,87908213,88042239,88091753,88116089,88201013,88400136,88432075,88534743,88619753,88690500,88970873,89005589,89086313,89212373,89347814,89400024,89597484,89817173,89827440,89844484,89886136,89886537,89981033,90043334,90061623,90063594,90175289,90207413,90282089,90440789,90472313,90493289,90680633,90752789,90875573,90936533,91101904,91323183,91325753,91433333,91503364,91549589,91664693,91788089,91863353,91928789,91944134,92095253,92113589,92137842,92177513,92287862,92313173,92331076,92371404,92622713,92760953,92778089,92851576,92888693,93056213,93064314,93206204,93357689,93486374,93492533,93516089,93594089,93617333,93686633,93767240,93935189,94067093,94210794,94237075,94238933,94295189,94395316,94399289,94428063,94508054,94603200,94606567,94681193,94700789,94720313,94784873,94825003,94847462,94861289,94873913,94892789,94936553,95218996,95271295,95272553,95341289,95380853,95545973,95588789,95630404,95657273,95683253,95815936,95854613,95869289,95908073,95941589,96012089,96030854,96041524,96067193,96089813,96103289,96134453,96230607,96284393,96357689,96397289,96535862,96540473,96607733,96624953,96678713,96717689,96773993,96810089,96818933,96824789,96916793,96940373,96985589,97009589,97014293,97027330,97083113,97117589,97131113,97136789,97142393,97145001,97151573,97158773,97167593,97169333,97192853,97194473,97197689,97216313,97230953,97286933,97298153,97301993,97307513,97328789,97347689,97353593,97354553,97356533,97357433,97439916,97709174,97876214,97878136,98447823,98603463,98763256,99450153,99498098,99538694,...,3188699149524988178121968226950636174784401024841834764467606134515070164736622134144754854954714633268769006446908816130516882177754823604593848570266533457185308783759582234123773817664275911780318841619896038530571212319598258692005055903929129706475517710267165613750329954480844724041528363495566577241531408168842166373790417829543821432302115041364608625953742702905163540431891153150308719363164372348494753025500244987252100586854282962451488149516621715287614745560877105494987202820802419490964526465286495582583613697468492161158941598982054062664013130878120374244721146343763007283868007706267327864115765916377016922351347590375971564013745957727819570287078500141251130167768320884959065334102950697480901262713021549699185609577128153472044206195497163819291726823123671507636016735086423748199836361966398586275694516987607057517862842311113540409242619276329561573372911584465706418160559481450240671617371684842734325617085309778177291756239036843959911040019784054548016193007182787312758463399772685621578868914348106536925720114713118790546622690590505082612190430642879137421855315394980522732325125933602247617169408873796243405380935624306185059751931776770864002018465540845266433396015156159412209184613713987275409753238373084014550956083843087910224810781955811421660377471581498149778765064641110507517999062652401895155427027645085476482139537043609596357862031133484121290701290148450902997504005903964133410080135687755621921581431661856355444094422052212343396564918331588065184840445115869807217181245187136379229840775774489801179073520101319363612599103372305890910269684640797354747005261957501262272852936668091683219063990774831769496626592022726498117234433158483036406803287900515536431638179736045031375306334738771099606762650942688049041785161780833338009534697522733845223906030241367077855541976566472438641703475131228292874529852152600239151795850591010205123008508266862397039731692389034453063950798521198772947570518991273514037709652244921120968739424376833051783178302499808551415995139462802269491102185244771127646876495404592266370520923264929759246280811379337098053503656647269086580416025690207244190548237363600553231637488992310409931865172661393140206672810839823093467175279263659722857575872342406915019548161339835940659137995637282427238228445798667125457293213135988800483611137964987567581693597836187561110283064782860362325344893745221848306110477835017031622866501115209947598350831960617582502619908756313455489910331735754489847088744764546072662239901500882829757225160252018000565788300107242629741851187886176405608231819577621363986602684674090426217028471719649172193087801412392651988131687743704592361857684016260982608024368002624344703584623545217879478681168905889135362213244634696553138323539297112689661398677336365425380007998587986730124227486473915286714321694595893112097244300889648293031207796816417388424322346283000680044038237866054676787487712142936627016532007579384162731030297099548990277558703627831317502192498070773914787926492955617719954317606024949063345937802030346962998554266790811064276920899445901752031285183626703539740025289}
19735 106368756988091969705512204053809056158272085208649283961731854604586526: {295905,315632,355086,1281605,1359921,1518209,1537926,2168870,2602644,2621297,3053345,3330821,3664014,3744710,3864532,3998897,4187793,4232705,4274249,4493652,4690742,5079246,5520760,5636774,5650169,5712710,5890001,6106070,6210855,6362777,6475049,6624912,6701060,6855252,7110617,7327284,7393875,7453026,7886800,7996982,8012609,8041272,8071670,8753601,8872650,9046431,9221009,9250070,9309113,9464160,9539156,9686004,9967694,10095104,10151121,10375049,10489973,10499961,10647180,10847537,11100084,11196993,11356992,11386022,11424260,11778806,12379349,12447905,12724262,12776616,13172870,13709112,14032553,14348152,14373693,14937486,15361041,15422751,15591173,15706641,15807444,16141671,17752262,17970449,18119793,19216275,19411382,19433345,19462612,19933364,20395732,20497360,20522361,20692889,20828846,20864721,21508529,21750305,22328645,22763895,22769732,23059530,23320014,23484245,23695924,24281488,24596832,24956193,25372312,25635081,25672070,26100366,26208113,26254454,26385062,26794374,26915909,26933249,27099875,27316674,27377009,27517505,27671436,28181094,28543851,28805621,29136760,29561270,29814305,30026793,30159974,30387605,30726470,30806484,30987089,31735444,32519850,32605097,32711241,32778855,32936728,33021006,33800935,33819845,33851320,33980775,34048281,34221089,34687840,34827832,34964112,35028329,35386481,35473524,35777166,36246160,36335477,36465126,36871764,36909929,37053819,37375761,37707321,37866244,38082735,38252249,38376005,38417873,38476070,38910113,38921272,39023820,39181311,39334626,39597254,39865097,40022193,40561122,40583814,40621584,40645445,40776930,40837622,41011041,41445521,41464313,41625408,41735729,42087641,42270809,43495392,43786431,43965921,44038805,44267270,44603105,45187576,45476561,45699282,45728942,45743369,45979973,46051206,46171284,46368436,46453721,46577793,46578710,46828584,47076449,47342897,47357366,47568255,47835953,47981345,48287050,48495473,48747974,48774534,48851841,48887270,48932316,49034534,49144721,49978262,50040470,50226305,50739472,50836023,51039956,51649433,51702857,52403961,52465505,52682157,52728470,52846566,53120724,53523726,53706136,54646070,55019307,55160117,55255695,55290801,55310297,55894452,56628875,56633297,56887041,57081906,57205641,57577614,57842193,57944460,58339460,58344497,58554161,58664724,58939408,59032181,59255009,59275097,59375992,59429793,59622470,59884814,60048564,60271566,60386870,60419403,60519075,60519833,60533681,60555641,61364705,61376993,61750095,61807424,61946117,62174609,62958606,63023045,63274164,63533873,64081336,64237841,64541897,64553680,64572437,65003249,65014862,65295555,65327060,65347670,65499175,65571209,65575284,65866768,66117569,66306834,66351081,66797991,67161976,67252070,67632710,67653380,67954650,68220561,68477297,68825752,68981500,69533352,69648592,69686932,69754646,69911751,69971609,69984521,70007352,70047929,70049462,70138574,70858244,71017973,71266145,71319081,71337542,71546964,71662766,71812805,71867609,72091503,72464244,72484960,72622890,72808217,72860241,73233989,73275062,73444049,73637646,74005061,74100114,75008793,75020681,75314726,75557223,75627654,75818054,75867221,75870677,76570529,76716545,76960334,77074649,77350119,77428971,77464416,77514377,77812262,77937269,78225021,78354666,78392472,78417204,78599010,78650369,78658107,78758271,79014710,79714166,79797269,80702484,80904710,81089193,81159252,81184056,81245129,81307553,81545580,81993801,82046335,82069262,82077761,82777800,82975096,83228275,83439473,83838944,84056057,84430121,84678710,84899126,84900593,85014164,85519374,85643369,86175366,86189601,86251241,86417849,86753848,86981952,87083193,87147468,87677841,87895301,87965297,88045205,88191531,88296320,88445057,88820870,89592329,89713659,89949075,90282689,90943814,91103414,91332063,91341617,91527593,91547669,91689535,91785521,91964129,92059854,92081969,92083475,92202710,92379761,92520902,92950143,93125025,93222929,93346983,93507716,93570250,94143182,94202295,94318812,94453670,94638353,94817652,95672297,95741366,95945680,96485966,96696089,96855209,97085652,97099745,97364793,97484174,97598079,97766981,97824710,97854696,97944321,98158145,98455602,98545000,98593495,98740673,99043924,99333360,99393617,99552760,99743045,99873930,99900614,99959081,...,4251598866033317570829290969267514899712534699789113019290141512686760219648829512193006473272952844358358675262545088174022509570339764806125131427022044609580411711679442978831698423552367882373758455493194718040761616426131011589340074538572172941967356947022887485000439939307792965388704484660755436322041877558456221831720557106058428576402820055152811501271656937206884720575854870867078292484219163131326337367333659983002800782472377283268650866022162287050152994081169473993316270427736559321286035287048660776778151596624656214878588798642738750218684174504160498992961528458350676378490676941689770485487687888502689229801796787167962085351661276970426093716104666855001506890357761179945420445470600929974535016950695399598914146102837537962725608260662885092388969097498228676848022313448564997599781815955198115034259355983476076690483789748151387212323492368439415431163882112620941890880745975266987562156495579790312434156113746370903055674985382458613214720026378739397354924009577049750344617866363580828771825219130808715900960152950825054062163587454006776816253907523838849895807087193307363643100167911469663489559211831728324540507914165741580079669242369027818669357954054460355244528020208212549612246151618649700546337651164112019401274778457450546966414375941081895547169962108664199705020086188147343357332083536535860207236036860113968642852716058146128477149374844645495054268386864601203996672007871952177880106847583674162562108575549141807258792562736283124528753224442117420246453926821159742956241660249515172306454367699319734905431360135092484816798804496407854547026246187729806329340349276668349697137248890788910958751987699775692662168789363635330822979244211310715209071050534020715242184239648060041833741779651694799475683534590250732055713549041111117346046263363645126965208040321822770474055968755296584855604633508304390499373136203466985535727800788013606830678011022483196052975589852045937418601064694931697263427358655031352050279536326561494624985899169110735710904403333078068554660185950403025988136246993028170195835327206123021827361231019906345661707748505782797404671542196358782107221367586942992254064316484800737642183318656413879909153563548524186942230414453097457956233705684879630476767829789875886692730881786447920878850660849709902984304594398222833943057617514651733978148183953316756775591463781583414813710753043813816433793191660295797741480637113356042163822001486946596797801109280823443336826545008417940653213775647672653129451659686061430216319868667843773009633547002690667421051066809656839655801583848235207477642426103495151982136912898787234956037962292865562924117068549856869317508916991606123149143578688347976810699157336832459604779498060290505971574891874518847149617659512928737517764719062816919548531569781820567173343998117315640165636648631887048952428926127857482796325734519531057374943729088556517899096461710667573392050983821406235716650282857248836022042676772512216974707062799398653703411604837108423336256664094365219717235323940823626605756808033265417794583736040462617331405689054414752369227865927869002708380244835604719653367052}
19736 106783899582408707308203157363358270531768696348523689999214741358059498: {276178,374623,394540,473448,532629,670378,728863,1457578,1813228,1850578,2050568,2086186,2306889,2490343,2723983,2870506,3253305,3470192,3771799,3903966,4467103,4830665,4885352,5135986,5369578,5496021,5583724,5617065,5796798,5914066,5964703,5991536,6079399,6147178,6380146,6740478,6766063,6772328,6900950,7036113,7078186,7465426,7542826,7618869,8281140,8376325,8455161,8569065,8833216,8856178,8923399,9087466,9140336,9159105,9374263,9599263,9769712,9780466,9858500,9937368,10011178,10048399,10051590,10241746,10282878,10548946,10721696,10779178,10990926,11179539,11392426,11671468,11830200,11923945,11928178,11995473,12061908,12081106,12107505,12157546,12310378,12554633,12618880,12844786,12914672,13308975,13454578,13534828,13682986,13819543,13875105,13999948,14196240,14280325,14308734,14367103,14529006,14800112,14929324,14951541,15142656,15505066,15565399,15970770,16539343,16650126,16714666,17035488,17079033,17136390,17668209,17769706,17935190,17995378,18278816,19086393,19164924,19346386,19759305,19916648,20019946,20094706,20481388,20563668,20942188,21076592,21246302,21426199,21522228,21884146,22107178,22200773,22406229,22468399,22701226,23442346,23606503,23711166,23915383,24018199,24159724,24328265,24698578,24916705,24919786,25214506,25494665,25621700,26023666,26059399,26160703,26464183,26628393,27069199,27363148,27819628,27855466,28462165,28470823,28819637,28876906,29117073,29166343,29193918,29619905,29822578,29900046,30351860,30474353,30546799,30593598,30746040,31036399,31055146,31093352,31127506,31243269,31426783,31621543,31715390,31913143,32795776,33274924,33457399,34056113,34154598,34180108,34589295,34800488,34980021,35225578,35267263,35368426,35456263,35543886,35582578,35725832,35927503,36303199,36420950,36422232,36620441,36651178,36895248,37148626,37237399,37574792,37609063,38058468,38211946,38508105,38636266,39150549,39175783,39381681,39539129,39577593,39632623,39669305,39694546,39905863,39996799,40035724,40191561,40516729,40811983,40889578,40975011,41075312,41170910,41262343,41507154,41590378,42157663,42271641,42314150,42778066,43274309,43359800,43534790,43614988,43705140,43822186,44028008,44238826,44341905,44397038,44931946,45070378,45239961,45307700,45397708,45407743,45554386,45753199,45839383,46089705,46097503,46209726,46618816,46697263,46992869,47139178,47298032,47332805,47345266,47603166,47619826,47702888,47886199,47962666,48168178,48223303,48620168,48647146,48651590,48779775,49162352,49405092,49531509,49834348,50215378,50276428,50690986,50714863,50776980,51286903,51571982,51953993,52031760,52113106,52241748,52248178,52420399,52446168,52450666,52500823,52922578,53141623,53210286,53362924,53665749,53698543,54065386,54081496,54111752,54132466,54162112,54369240,54488023,54681388,54697689,55069906,55192399,55307646,55470706,55500544,56071169,56137426,56353399,56430223,56470186,56484470,56799366,57422383,57633422,57714105,57960545,57993856,58061866,58260178,58381908,58458346,58535730,58621228,58766729,58999399,59001939,59249578,59395881,59907178,60222533,60835399,60841683,60875721,60932376,60942518,61086826,61124983,61165395,61256433,61401608,61485343,61561712,61973054,61986823,62000746,62103724,62438112,62846578,62979199,63041386,63424340,63609703,63799945,63819178,64026799,64441303,64716199,64917106,64989943,65032712,65135788,65243088,65303506,65560786,65736799,66341383,66400905,66843346,67072399,67132670,67729399,67781364,67990183,67992178,68548923,68593413,68765623,69076809,69085663,69256926,69389266,69552654,69593983,69868065,69871948,70084906,70242876,70285399,70462088,70526578,70827632,70841578,70906399,71036049,71364968,71581183,71784178,71824399,72430575,72598186,72603209,72785743,72924325,73121961,73161801,73233446,73259503,73330905,73359076,73377223,73398474,73551801,73670263,73674260,73721068,73903399,74219990,74404306,74525936,74710303,74967393,75060705,75209578,75390703,75703786,75849388,75894199,75909617,75950506,76109208,76274188,76523369,76559934,76770152,76937983,77122924,77259280,77530399,77796799,78177077,78219632,78281578,78464626,78708466,78844399,79092705,79195378,79239724,79269849,79611199,79681086,80064752,80101670,80285589,80312263,80362088,80559204,80692100,81193066,81289303,81434026,81614578,81658825,81734866,81915178,81969105,82333460,82470103,82665713,82694866,82746799,82929823,82994026,83710378,83841678,83915863,83944808,83952470,84365552,84424426,84566725,84909463,85329583,85491178,85536943,85622859,85824223,86032190,86226875,86258386,86366421,86388199,86546743,86916690,86938063,87060740,87081586,87108665,87169399,87245873,87360199,87433426,87433712,87509190,87549199,87667666,87736399,87922142,87997086,88141903,88409112,88467199,88468108,88572805,88609903,89063988,89134783,89374183,89433705,89590378,89827221,90038743,90072846,90360223,90407349,90580305,90606200,90747178,90960748,91251799,91574143,91610578,91782826,92110399,92184178,92355946,92408983,92620663,92672863,92711136,93155626,93215668,93343136,93397399,93497386,93861799,93951223,94104943,94437909,94575826,94625143,94704199,94745578,94820623,94896799,94911246,94915186,95082199,95092108,95277823,95395952,95611183,95674399,95761066,95827399,95958943,95987383,96122004,96191503,96266866,96456581,96618992,96636103,96646399,96706663,96801343,96830520,97028143,97035199,97095463,97146988,97161199,97188199,97213399,97326799,97348183,97367623,97370863,97375903,97522293,97720786,97990590,98021505,98183528,98362926,98800152,99460251,99605746,...,6377398299049976356243936453901272349568802049683669528935212269030140329473244268289509709909429266537538012893817632261033764355509647209187697140533066914370617567519164468247547635328551823560637683239792077061142424639196517384010111807858259412951035420534331227500659908961689448083056726991133154483062816337684332747580835659087642864604230082729217251907485405810327080863782306300617438726328744696989506051000489974504201173708565924902976299033243430575229491121754210989974405641604838981929052930572991165167227394936984322317883197964108125328026261756240748489442292687526014567736015412534655728231531832754033844702695180751943128027491915455639140574157000282502260335536641769918130668205901394961802525426043099398371219154256306944088412390994327638583453646247343015272033470172847496399672723932797172551389033975214115035725684622227080818485238552659123146745823168931412836321118962900481343234743369685468651234170619556354583512478073687919822080039568109096032386014365574625516926799545371243157737828696213073851440229426237581093245381181010165224380861285758274843710630789961045464650251867204495234338817747592486810761871248612370119503863553541728004036931081690532866792030312318824418369227427974550819506476746168029101912167686175820449621563911622843320754943162996299557530129282221015035998125304803790310854055290170952964279074087219192715724062266968242581402580296901805995008011807928266820160271375511243843162863323712710888188844104424686793129836663176130369680890231739614434362490374272758459681551548979602358147040202638727225198206744611781820539369281594709494010523915002524545705873336183366438127981549663538993253184045452996234468866316966072813606575801031072863276359472090062750612669477542199213525301885376098083570323561666676019069395045467690447812060482734155711083953132944877283406950262456585749059704305200478303591701182020410246017016533724794079463384778068906127901597042397545895141037982547028075419304489842241937478848753666103566356604999617102831990278925604538982204370489542255293752990809184532741041846529859518492561622758674196107007313294538173160832051380414488381096474727201106463274977984620819863730345322786280413345621679646186934350558527319445715151744684813830039096322679671881318275991274564854476456891597334250914586426271977600967222275929975135163387195672375122220566129565720724650689787490443696612220955670034063245733002230419895196701663921235165005239817512626910979820663471508979694177489529092145324479803001765659514450320504036001131576600214485259483702375772352811216463639155242727973205369348180852434056943439298344386175602824785303976263375487409184723715368032521965216048736005248689407169247090435758957362337811778270724426489269393106276647078594225379322797354672730850760015997175973460248454972947830573428643389191786224194488601779296586062415593632834776848644692566001360088076475732109353574975424285873254033064015158768325462060594199097980555117407255662635004384996141547829575852985911235439908635212049898126691875604060693925997108533581622128553841798891803504062570367253407079480050578}
19737 107200650957461887722181153101093866573197319821703553754158254282149830: {414267,493175,591810,631264,710172,1005567,1794247,2186367,2266535,2563210,2719842,2775867,3036418,3075852,3129279,3685583,4274683,4305759,4337740,5205288,5242594,5855949,5925787,6106690,6283343,6661642,6979655,7111339,7328028,7489420,7701527,7703979,7729064,7997794,8054367,8375586,8465410,8548498,8695197,8871099,8987304,9220767,9381484,9469447,9570219,10110717,10158492,10351425,10617279,11001679,11041520,11198139,11273548,11300338,11314239,11425420,11595643,11780002,12212140,12323125,12421710,12725554,12950098,13249824,13284267,13402120,13631199,13710504,13835743,14221234,14589335,14654568,14670699,14787750,14906052,15016767,15077385,15362619,15424317,15773600,15823419,15993964,16025218,16082544,16143340,16168767,16486389,16918535,17088639,17427067,17499935,17507202,17745300,17892267,18092862,18121659,18236319,18442018,18465567,18500140,18618226,18661655,18928320,19078312,19267179,19372008,19719983,19935388,20181867,20190208,20302242,20524479,20750098,20979946,20999922,21294360,21463101,21695074,21793509,22200168,22393986,22713984,22772044,22848520,23257599,23557612,23956155,23966759,24758698,24895810,24975189,25071999,25448524,25553232,25601735,25704585,26177735,26345740,26654559,26797943,26902785,26993067,27206683,27418224,28065106,28696304,28747386,29019579,29874972,30029919,30142059,30199655,30450427,30722082,30845502,31182346,31260103,31413282,31614888,31869453,32027125,32086703,32283342,32354647,32826219,32877943,33160767,34051839,34203935,34774535,35163519,35504524,35566749,35929883,35940898,36239586,37047867,37209359,37379679,37821759,37939825,38432550,38524507,38822764,38866690,38925224,39035499,39866728,40610239,40791464,40994720,41044722,41385778,41593655,41657692,41729442,41740027,41783199,42542647,42725135,43017058,43315359,43500610,43790877,44657290,44733867,44850069,45527790,45539464,45608807,45890397,45984679,46119060,46582719,46640028,46691259,46968490,47321309,47347783,47391848,47573085,48562976,49003279,49193664,49573343,49912386,50044655,50744624,51231897,51270162,51344140,52200732,52416226,52508908,52770124,52838367,53052639,53315829,53373867,53588748,53726407,53831818,53866498,54199750,54518735,54631425,54633348,54754018,54976767,55035010,55038863,55342872,55510967,55722939,56306459,56362188,56533399,56634625,56747135,56903623,57087702,57317919,57573263,57611242,57954399,58273520,58964263,59003579,59122540,59463263,59541819,59628610,60053586,60319948,60775210,61040239,61334367,61452940,61612968,61654327,61687127,61756365,61974178,62260731,62292935,62385567,62444347,62592379,62632559,62845535,63470888,63471225,64167099,65039700,65210194,65302185,65422482,65557710,65733279,65873456,66042012,66218263,66358239,66595557,66703655,67173883,67397919,67601870,67605567,67639690,67702640,67961550,68096562,68331579,68351735,68442178,69314589,69375680,69655664,69928224,70028647,70056658,70316827,70355167,70708767,70772962,70947048,71017899,71404749,71429739,71523439,71554332,71943999,72252267,72492320,72670954,72930252,72970719,72977385,73276535,73451707,73743528,73819858,73969643,74107638,74373023,74684167,74751522,75225359,75323067,75414642,75732488,76036479,76165470,76504498,76752010,76835746,76952140,77357973,77493247,77629655,77753639,77755583,77820226,77842544,78047640,78169659,78203563,78362622,78372267,78669252,78675999,79194508,79280425,79383867,79730194,79815429,80044386,80141983,81098079,81122244,81167628,81198699,81243168,81290890,81419735,81553860,81675244,81739087,82022082,82604859,82891042,82928626,82961469,83074223,83206059,83250816,83471458,84175282,84206139,84514439,84541618,84705279,84726705,84796639,84934447,85033847,85199049,85910587,86450133,86990784,86992247,87092799,87292159,87339935,87390267,87572862,87687519,87803595,87931842,87997867,88077610,88232263,88534540,88874367,89185183,89206210,89860767,90375152,90728039,90953122,91398564,91413777,91457884,91486738,91630239,91698845,91959946,92092825,92102412,92151335,92342568,92736872,92907442,92959581,93001119,93155586,93157420,93657168,94152898,94269867,94437943,94562079,94637063,94685794,94714732,94811735,95136510,95342735,95671906,95728767,95848927,95962690,96403655,96574100,96765887,96990946,97375659,97495948,97549068,97703682,97774540,97864632,97955259,98069068,98289442,98341179,98482907,98750779,98933483,99049655,99772603,99956524,...,9566097448574964534365904680851908524353203074525504293402818403545210494209866402434264564864143899806307019340726448391550646533264470813781545710799600371555926351278746702371321452992827735340956524859688115591713636958794776076015167711787389119426553130801496841250989863442534172124585090486699731724594224506526499121371253488631464296906345124093825877861228108715490621295673459450926158089493117045484259076500734961756301760562848887354464448549865145862844236682631316484961608462407258472893579395859486747750841092405476483476824796946162187992039392634361122734163439031289021851604023118801983592347297749131050767054042771127914692041237873183458710861235500423753390503304962654877196002308852092442703788139064649097556828731384460416132618586491491457875180469371014522908050205259271244599509085899195758827083550962821172553588526933340621227727857828988684720118734753397119254481678444350722014852115054528202976851255929334531875268717110531879733120059352163644048579021548361938275390199318056864736606743044319610777160344139356371639868071771515247836571291928637412265565946184941568196975377800806742851508226621388730216142806872918555179255795330312592006055396622535799300188045468478236627553841141961826229259715119252043652868251529263730674432345867434264981132414744494449336295193923331522553997187957205685466281082935256429446418611130828789073586093400452363872103870445352708992512017711892400230240407063266865764744294985569066332283266156637030189694754994764195554521335347609421651543735561409137689522327323469403537220560303958090837797310116917672730809053922392064241015785872503786818558810004275049657191972324495308489879776068179494351703299475449109220409863701546609294914539208135094125919004216313298820287952828064147125355485342500014028604092568201535671718090724101233566625929699417315925110425393684878623589556457800717455387551773030615369025524800587191119195077167103359191852395563596318842711556973820542113128956734763362906218273130499155349534907499425654247985418388406808473306555734313382940629486213776799111562769794789277738842434138011294160510969941807259741248077070621732571644712090801659694912466976931229795595517984179420620018432519469280401525837790979168572727617027220745058644484019507821977413986911847281714685337396001376371879639407966401450833413894962702745080793508562683330849194348581086976034681235665544918331433505051094868599503345629842795052495881852747507859726268940366469730995207263469541266234293638217986719704502648489271675480756054001697364900321727889225553563658529216824695458732864091959808054022271278651085415158947516579263404237177955964395063231113777085573052048782947824073104007873034110753870635653638436043506717667406086639733904089659414970617891338068984196032009096276140023995763960190372682459421745860142965083787679336291732902668944879093623390449252165272967038849002040132114713598164030362463136428809881049596022738152488193090891298646970832676110883493952506577494212321744363779478866853159862952818074847190037813406091040888995662800372433192830762698337705256093855550880110619220075867}
19738 107619017303523663249626353825965605219903722802310523238637059265239650: {216997,552356,571561,749246,789080,807577,887715,946896,1065258,1340756,1457726,2915156,3268357,3501061,3626456,3701156,3844815,3849577,4079763,4101136,4172372,4554627,4613778,4980686,5237161,5422175,5447966,5467417,5741012,6041797,6156457,6506610,6728677,6762931,6940384,6957061,7543598,7807932,7863891,8094661,8660761,8934206,9160035,9225061,9361775,9661330,9770704,9992463,10271972,10683817,10739156,10992042,11167448,11234130,11464261,11593596,11726855,11797657,11828132,11929406,11983072,11996691,12158798,12294356,12563379,12573061,12698115,12760292,12822747,13344937,13480956,13532126,13544656,13801900,14072226,14091935,14156372,14281775,14930852,15085652,15237738,15265175,15530857,15639397,15856261,16562280,16693523,16752650,16910322,16950507,17138130,17666432,17670003,17687977,17712356,17846798,18174932,18280672,18318210,18632565,18748526,19074661,19088331,19198526,19425147,19539424,19560932,19717000,19874736,19992455,20022356,20096798,20103180,20179175,20483492,20565756,21097892,21331851,21393637,21443392,21558356,21981852,22181625,22359078,22540057,22784852,23125175,23342936,23574697,23660400,23847890,23856356,23990946,24037827,24123816,24162212,24215010,24315092,24620756,24919235,25109266,25113157,25237760,25689572,25825561,25829344,26129797,26260803,26534437,26617950,26909156,27038617,27069656,27139237,27139293,27365972,27639086,27663027,27750210,27927339,27999896,28392480,28465055,28560650,28617468,28734206,29058012,29136517,29334661,29447015,29600224,29858648,29903082,30285312,30453363,30615577,31010132,31125147,31130798,31469919,31499883,31810655,31941540,32542611,32932175,33044677,33078686,33300252,33429332,33590979,33908137,34059571,34070976,34158066,34272780,34385317,34670761,34883387,35336418,35539412,35692531,35870380,35990756,36557161,36557632,36744217,37138047,37210597,37343715,37489561,37675177,38172786,38329848,38692772,39518610,39606757,39833296,39847031,40039892,40189412,40520843,40876837,40962776,41127336,41467867,41775397,41864857,41884376,42097659,42153184,42311077,42492604,42852398,43044456,43121079,43278703,43550917,43768292,43814761,44214356,44253061,44380655,44401546,44812458,44863657,44936798,45283403,45402452,46083123,46160197,46268253,46773519,46884692,47119923,47213006,47422332,47440537,47830766,47883407,47948137,48036398,48319448,48425013,48528455,48656530,48955561,49205797,49397156,49833410,49839572,50429012,50989330,51243400,51428761,51834661,52047332,52072115,52118798,52321406,52801477,52928366,53041561,53256786,53599237,53678617,53911347,54138398,54359379,54726296,55406761,55537027,55639256,55710932,56924330,56941646,57639274,57648825,57753812,58234146,58300035,58332686,58387836,58981957,59056297,59239810,59645156,59800092,60162757,60309061,60703720,60948706,61093598,61180837,61187196,61492080,61567083,62072798,62078667,62110292,62113561,62186704,62255012,62327077,62486538,62594163,62822761,62853566,62963737,63034117,63243086,63430780,63826286,64011877,64180175,64525587,64770217,65250915,65384197,65591552,65636135,65722777,65962655,66059557,66265927,66549848,66794137,66914798,66985935,67585561,68042437,68112226,68291685,68309196,68360216,69081683,69178590,69600976,69960042,70023337,70451156,70452735,70534526,70736852,70895257,70912526,71087772,71165156,71451664,71570437,71692261,71855006,72417157,72606398,72841900,72844464,73240882,73302356,73367557,73790496,73894057,73903175,74068261,74297252,74472217,74474798,74644261,74868579,75099877,75149584,75218126,75399935,75494761,76116936,76423892,76816175,76905243,76984837,77016210,77272532,77576857,78301098,78351566,78578917,78624339,78763362,79078258,79155186,79265246,79338610,79389092,79605637,79656217,79811726,79993598,80071448,80356777,80383122,80747727,80799747,80897317,81033458,81144763,81299625,81333097,81477061,81620377,81623966,81779156,81950022,81952261,82131027,82150624,82280617,82327237,82341820,82524686,82552515,82651561,82789477,83014308,83108761,83180756,84315326,84437161,84543282,84566437,84628300,84673787,84780457,85556132,85631553,86188057,86388037,86416863,86548618,86719600,87069580,87229976,87284761,87360937,87410280,87587737,87644372,87849061,88056016,88143397,88477652,88682857,88683810,88794076,88859077,89319923,89442915,89613061,89863892,89878597,90080379,90140756,90332197,90479922,90522277,90615400,90795416,90815486,91108772,91162815,91506398,91579417,91678766,91723237,91780261,91977577,92143897,92179410,92195006,92198761,92391091,92419452,92808997,92936617,92961267,93235561,93237632,93284377,93394526,93547717,93664537,93710761,93985738,94048261,94200217,94278356,94327657,94596064,94665610,94674661,94690532,94907077,95147161,95200837,95206332,95239652,95405776,95772398,95925332,95957161,95985817,96190175,96336356,96356761,96446606,96640261,96691561,96722231,96861337,96961561,97000261,97051417,97085797,97210537,97235557,97240336,97245061,97254277,97294292,97303180,97317637,97360297,97396837,97559550,97815291,98133723,98324704,98336565,98810184,98993135,99063018,99668696,...,12754796598099952712487872907802544699137604099367339057870424538060280658946488536579019419818858533075076025787635264522067528711019294418375394281066133828741235135038328936495095270657103647121275366479584154122284849278393034768020223615716518825902070841068662455001319817923378896166113453982266308966125632675368665495161671318175285729208460165458434503814970811620654161727564612601234877452657489393979012102000979949008402347417131849805952598066486861150458982243508421979948811283209677963858105861145982330334454789873968644635766395928216250656052523512481496978884585375052029135472030825069311456463063665508067689405390361503886256054983830911278281148314000565004520671073283539836261336411802789923605050852086198796742438308512613888176824781988655277166907292494686030544066940345694992799345447865594345102778067950428230071451369244454161636970477105318246293491646337862825672642237925800962686469486739370937302468341239112709167024956147375839644160079136218192064772028731149251033853599090742486315475657392426147702880458852475162186490762362020330448761722571516549687421261579922090929300503734408990468677635495184973621523742497224740239007727107083456008073862163381065733584060624637648836738454855949101639012953492336058203824335372351640899243127823245686641509886325992599115060258564442030071996250609607580621708110580341905928558148174438385431448124533936485162805160593803611990016023615856533640320542751022487686325726647425421776377688208849373586259673326352260739361780463479228868724980748545516919363103097959204716294080405277454450396413489223563641078738563189418988021047830005049091411746672366732876255963099327077986506368090905992468937732633932145627213151602062145726552718944180125501225338955084398427050603770752196167140647123333352038138790090935380895624120965468311422167906265889754566813900524913171498119408610400956607183402364040820492034033067449588158926769556137812255803194084795091790282075965094056150838608979684483874957697507332207132713209999234205663980557851209077964408740979084510587505981618369065482083693059719036985123245517348392214014626589076346321664102760828976762192949454402212926549955969241639727460690645572560826691243359292373868701117054638891430303489369627660078192645359343762636551982549129708952913783194668501829172852543955201934444551859950270326774391344750244441132259131441449301379574980887393224441911340068126491466004460839790393403327842470330010479635025253821959641326943017959388354979058184290648959606003531319028900641008072002263153200428970518967404751544705622432927278310485455946410738696361704868113886878596688772351205649570607952526750974818369447430736065043930432097472010497378814338494180871517914724675623556541448852978538786212553294157188450758645594709345461701520031994351946920496909945895661146857286778383572448388977203558593172124831187265669553697289385132002720176152951464218707149950848571746508066128030317536650924121188398195961110234814511325270008769992283095659151705971822470879817270424099796253383751208121387851994217067163244257107683597783607008125140734506814158960101156}
19739 108039004834516290019726054588577292882749445211594791623024840050865698: {19739,690445,828534,986350,1123869,1183620,1262528,1420344,1597887,1675945,2011134,2186589,2385757,3173149,3588494,3643945,4119181,4355689,4372734,4533070,4626445,5126420,5215465,5439684,5551734,6072836,6151704,6258558,6283981,6716677,6920667,7176265,7371166,7425769,7471029,7702309,8171949,8549366,8607589,8611518,8675480,8878837,9759915,9771517,10175077,10410576,10485188,11315397,11711898,11851574,12213380,12566686,12839965,13131229,13323284,13401309,13423945,13717657,13959310,14222678,14490157,14491995,14656056,14785165,14978840,15367945,15403054,15407958,15458128,15950365,15995588,16108734,16488063,16551721,16751172,16851195,16930820,17096996,17252375,17390394,17695465,17742198,17894109,17974608,18238197,18441534,18663565,18762968,18857065,18938894,19140438,20221434,20298189,20316984,20388457,20425069,20702850,21108339,21234558,22003358,22039981,22083040,22140445,22396278,22547096,22600676,22628478,22718665,22850840,22856607,23191286,23560004,23685949,24424280,24451165,24499909,24646250,24843420,25027945,25128975,25365483,25451108,25604365,25707195,25900196,26126317,26372365,26499648,26568534,26770197,26804240,26947945,27262398,27421008,27477315,27671486,28122789,28239277,28442468,28481065,28646077,28797789,29178670,29309136,29341398,29575500,29812104,29820445,29825737,30033534,30145197,30154770,30202765,30393865,30725238,30775945,30848634,31547200,31646838,31987928,32050436,32111965,32165088,32286680,32337534,32517397,32972778,33538617,33636445,33799117,33837070,34177278,34207465,34854134,34999870,35014404,35490600,35771835,35784534,35842429,35986419,36185724,36243318,36322515,36472638,36648829,36884036,36931134,37000280,37236452,37323310,37663899,37668889,37856640,37920649,38156624,38534358,38744016,38762665,39439966,39870776,39926925,40363734,40380416,40604484,41048958,41458629,41500196,41625315,41786665,41959892,41999844,42279517,42323677,42462589,42588720,42840975,42926202,43101309,43390148,43587018,43974697,44400336,44424265,44787972,44837975,44854623,44988445,45427968,45544088,45697040,46274629,46515198,46696197,47115224,47885509,47912310,47933518,48257749,48365965,48684349,48693997,49517396,49618029,49791620,49950378,50049865,50143998,50236765,50238757,50897048,50948197,50974549,51106464,51203470,51236581,51237099,51409170,52355470,52691480,53004627,53115755,53309118,53595886,53775997,53805570,53986134,54197989,54413366,54710365,54836448,55044517,55267945,55405501,56130212,56753065,57259179,57392608,57434761,57494772,58001317,58039158,58231117,58605865,59277915,59469349,59749944,59815189,60059838,60110677,60127657,60284118,60399310,60828109,60900854,61444164,61691004,61746445,62041669,62299465,62364692,62520206,62587669,62826564,63036265,63229776,63417157,63738906,64054250,64173406,64219369,64278597,64566684,64709294,65045929,65059165,65584717,65652438,65755886,66321534,66425557,66458941,66543997,66602319,67218687,67405197,68041129,68103678,68407870,69549070,69638665,70062517,70327038,70627549,70819509,71009048,71133498,71553241,71746149,71859766,71881796,71882437,72054597,72124189,72192265,72479172,72984795,73304197,73977277,74020297,74095734,74395981,74418718,74556445,74750115,74759358,75643518,75879650,76326229,76483995,76494709,76865100,77049014,77195929,77637865,77645528,77733380,77761597,77818765,77850448,78070998,78178197,78482109,78890701,79159429,79288475,79392549,79445989,79502197,79733456,79885179,81151177,81207597,81220478,81582928,81989440,81999349,82089444,82142101,82771556,83082757,83118037,83187310,83315384,83458884,83480054,83566398,85085294,85386495,85412469,85450270,85648861,86034116,86233597,86458911,86630718,86916181,87001220,87210109,87351219,87418669,87499029,87581754,87983749,88063945,88421065,88859715,88902697,88956445,88995181,89024809,89314580,89467734,89700138,90343021,91052375,91055580,91078928,91217614,91423059,91627945,91640397,91780794,91969358,92238120,92439049,92847661,92869657,92871565,93109197,93146581,93165438,93280056,93382518,93385117,93729807,93936980,94280349,94642618,94646749,94695566,94783696,94860637,94864629,95037829,95146170,95153797,95529865,95692429,95739429,95966509,96590665,96775849,97125952,97226629,97702957,98006558,98387328,98788477,99146686,99236365,99824772,...,19132194897149929068731809361703817048706406149051008586805636807090420988419732804868529129728287799612614038681452896783101293066528941627563091421599200743111852702557493404742642905985655470681913049719376231183427273917589552152030335423574778238853106261602993682501979726885068344249170180973399463449188449013052998242742506977262928593812690248187651755722456217430981242591346918901852316178986234090968518153001469923512603521125697774708928897099730291725688473365262632969923216924814516945787158791718973495501682184810952966953649593892324375984078785268722245468326878062578043703208046237603967184694595498262101534108085542255829384082475746366917421722471000847506781006609925309754392004617704184885407576278129298195113657462768920832265237172982982915750360938742029045816100410518542489199018171798391517654167101925642345107177053866681242455455715657977369440237469506794238508963356888701444029704230109056405953702511858669063750537434221063759466240118704327288097158043096723876550780398636113729473213486088639221554320688278712743279736143543030495673142583857274824531131892369883136393950755601613485703016453242777460432285613745837110358511590660625184012110793245071598600376090936956473255107682283923652458519430238504087305736503058527461348864691734868529962264829488988898672590387846663045107994375914411370932562165870512858892837222261657578147172186800904727744207740890705417985024035423784800460480814126533731529488589971138132664566532313274060379389509989528391109042670695218843303087471122818275379044654646938807074441120607916181675594620233835345461618107844784128482031571745007573637117620008550099314383944648990616979759552136358988703406598950898218440819727403093218589829078416270188251838008432626597640575905656128294250710970685000028057208185136403071343436181448202467133251859398834631850220850787369757247179112915601434910775103546061230738051049601174382238390154334206718383704791127192637685423113947641084226257913469526725812436546260998310699069814998851308495970836776813616946613111468626765881258972427553598223125539589578555477684868276022588321021939883614519482496154141243465143289424181603319389824933953862459591191035968358841240036865038938560803051675581958337145455234054441490117288968039015643954827973823694563429370674792002752743759278815932802901666827789925405490161587017125366661698388697162173952069362471331089836662867010102189737199006691259685590104991763705495015719452537880732939461990414526939082532468587276435973439409005296978543350961512108003394729800643455778451107127317058433649390917465728183919616108044542557302170830317895033158526808474355911928790126462227554171146104097565895648146208015746068221507741271307276872087013435334812173279467808179318829941235782676137968392064018192552280047991527920380745364918843491720285930167575358672583465805337889758187246780898504330545934077698004080264229427196328060724926272857619762099192045476304976386181782597293941665352221766987905013154988424643488727558957733706319725905636149694380075626812182081777991325600744866385661525396675410512187711101760221238440151734}
19740 108460619788101842771985890564625743804033836295795614455531464437481428: {256451,433994,453491,610979,807659,846971,1043411,1104712,1143122,1161179,1242801,1479525,1498492,1553219,1578160,1615154,1775430,1893792,2130516,2568779,2681512,2685611,2915452,3016701,3074531,3191051,3540179,3849971,3888659,4545131,4660739,4891739,5007131,5122451,5237699,5276099,5382741,5391251,5506331,5697971,5830312,5965931,6042419,6080651,6157091,6408025,6536714,6538811,6559101,6767459,6799605,6843611,6957779,7002122,7109891,7252912,7402312,7591045,7689630,7699154,8133299,8159526,8202272,8322179,8327601,8344744,8473139,9000491,9109254,9227556,9387837,9451259,9676211,9788579,9961372,10013099,10474322,10684931,10844350,10895932,10934834,11056749,11057051,11465459,11482024,11502539,11835899,12083594,12312914,12463811,12574379,12611219,12824049,12917277,13013220,13106485,13457354,13492979,13525862,13822451,13880768,13914122,14041739,14443019,15087196,15266725,15532499,15568691,15615864,15641051,15677219,15727782,16189322,16417597,16614779,16654105,17321522,17567847,17618411,17777361,17796971,17868412,17904011,18153491,18320070,18438131,18450122,18580259,18686771,18723550,18850029,18899579,19112099,19322660,19430339,19541408,19606859,19728709,19818419,19959299,19984926,19994485,20543944,20556611,20906891,20938965,21163525,21334017,21367634,21371245,21430811,21478312,21984084,22022411,22265339,22334896,22468260,22542491,22646291,22888211,22928522,23104581,23111937,23187192,23267579,23453710,23595314,23611619,23656264,23680331,23783339,23858812,23920571,23966144,23989139,23993382,24091931,24163101,24317596,24434051,24588712,25013819,25126758,25146122,25217891,25396230,25520584,25645494,25659059,26085591,26132651,26166419,26233931,26335139,26537339,26571011,26613297,26689874,26873699,26961912,27064252,27075131,27089312,27142211,27175739,27544019,27603800,27662301,27744491,27989437,28144452,28177859,28183870,28250845,28312744,28344179,28408341,28543499,28563550,28710657,28974371,29139731,29172779,29238851,29337899,29370899,29450005,29861704,30062051,30171304,30332151,30475476,30530350,30553571,30618971,30651659,31054275,31061714,31278794,31531211,31628579,31712522,31813885,31851837,32017331,32308139,32375245,32469419,32791379,33005037,33124560,33387046,33505300,33528851,33594417,33720539,33820644,33901014,33911939,33942717,34103051,34276260,34420931,34674659,34706339,34786929,34886929,35149019,35332864,35340006,35369771,35375954,35424712,35527211,35553085,35653019,35693596,35904251,36349864,36561344,36636420,36748379,36779531,36969375,37245851,37265130,37497052,37524779,37679459,37710371,37988219,38149322,38176662,38397052,38850294,38909699,39078848,39121864,39245771,39367739,39434000,39641699,39702491,39749472,39851077,39852801,39984910,40044712,40063045,40066571,40193596,40206360,40248179,40358350,40700939,40821371,40881539,40893597,40966984,40971731,41131512,41225821,41331779,41451539,41507229,41601059,41959091,42195784,42226859,42315971,42663702,42787274,42886784,43116712,43555979,43768005,43819859,43849139,43936931,43963704,44012097,44363250,44534917,44718156,44810891,45042731,45050301,45080114,45232155,45245171,45288001,45476051,45569704,45821411,45907571,45993659,46087857,46105045,46108331,46165619,46194251,46250350,46272951,46280099,46423019,46545565,46685872,46765211,47106251,47149394,47320800,47389571,47470257,47474411,47695780,47700299,47712712,47888269,47953811,47981892,48075654,48150539,48234731,48247632,48290819,48324424,48430020,48506301,48630184,48794171,48961379,49072691,49241512,49459167,49572011,49838470,50206259,50218532,50226314,50371019,50475520,50727011,50755605,50781659,50890859,51136091,51265917,51299219,51353531,51379144,51434939,51651122,51658688,51705779,51867899,51875245,52083611,52259594,52281201,52449865,52486691,52499805,52521606,52754411,53068874,53207699,53235900,53516749,53632211,53676801,53711579,53818312,54077234,54139312,54237685,54278474,54278586,54343931,54364977,54422651,54501299,54553691,54632219,54708957,54731944,55023779,55179899,55278172,55326054,55396701,55439459,55500420,55646531,55854678,55984965,55999792,56418491,56589481,56725259,56784960,56930110,56980019,57056291,57121300,57234936,57436571,57468412,57562931,57801537,58116024,58266851,58273034,58566611,58641371,58669322,58894030,58989299,59014091,59063651,59159949,59200448,59717296,59754131,59806164,59827739,60170291,60194699,60545601,60570624,60608411,60826499,60906726,60971531,61188539,61212611,61231154,61332851,61548779,61573437,61896745,61978691,62020264,62050091,62132917,62145179,62239525,62250294,62261596,62287571,62571491,62939838,62971739,62995211,62999766,63042131,63112451,63621310,63625931,63811691,63881219,63883080,64020059,64043171,64112459,64250819,64389303,64503731,64572539,64778531,64801379,65085222,65380527,65596019,65753771,65864350,66089354,66090491,66157372,66269339,66358571,66600504,66692051,66824939,66858664,66935459,67023731,67089851,67181958,67397459,67594379,67725299,67816274,67939837,67942859,68051339,68119142,68141952,68181251,68316132,68375579,68545560,68655131,68719451,68770634,68826491,69082571,69295091,69341522,69549059,69675611,69766774,69772797,70053539,70158059,70162765,70241531,70304051,70470419,70672836,70925291,71078824,71385062,71539331,71600339,71640971,71722139,71740760,71868465,71884091,71900277,71981512,72326819,72426899,72606539,72805379,72900961,72904499,73114322,73115264,73141571,73279331,73397099,73436291,73488434,73573211,73631771,73690259,73729211,73787579,73845937,73923491,74276094,74421194,74539811,74673539,74687430,74730731,74787851,74844899,74925567,74979122,75110171,75215997,75350354,75411419,75505139,75579971,75952211,76174019,76339619,76345572,76559411,76614179,76659696,76805205,76832531,76995539,77113755,77373371,77385544,77427059,77552051,77587691,77605499,77765411,77955865,78485699,78533205,78866651,79021379,79037220,79107059,79213514,79633811,79666592,79667531,79684379,79694062,79768499,79885931,79936139,79963677,80079784,80119619,80368259,80378824,80384771,80393829,80708355,80908931,80979201,81041686,81071051,81167939,81312731,81344819,81392891,81504779,81620049,81641989,81753674,81925552,82254672,82292579,82525019,82663619,82770971,82801571,82847411,82935734,83136059,83301851,83361899,83526371,83550794,83675051,83729714,83749091,83768752,83970011,84072491,84195318,84306368,84406451,84464099,84507251,84622154,84664859,84835691,84878219,84977171,84985208,85089779,85187891,85562651,85704796,85713659,85877291,85931579,85999259,86088912,86201099,86242158,86414411,86480651,86520299,86557406,86573051,86599379,86847899,86964611,87058737,87101834,87310859,87387011,87536584,87576131,87601211,87629522,87751019,87874979,88111837,88132691,88169219,88193531,88242059,88428712,88506122,88590059,88661219,88696691,88761310,88803092,88884659,88942979,89047451,89082131,89162771,89185739,89288699,89334251,89424971,89571299,89624916,89727314,89760611,89852245,89859899,89873596,89892851,89903819,90023939,90089757,90218411,90250571,90357251,90426177,90442019,90484211,90515771,90566806,90568211,90598965,90724331,90804904,90847931,90970379,91061459,91281371,91351281,91370219,91399691,91565339,91603979,91690451,91738211,91747739,91795259,91890589,91936619,91974011,92159051,92166246,92186531,92223059,92320394,92347717,92358899,92439539,92457371,92536506,92572499,92668859,92703659,92721011,92935211,92960579,93202091,93348611,93428891,93444851,93539939,93547038,93563531,93610499,93641651,93664931,93734339,93769384,93780251,93780309,93953579,94064339,94137179,94239846,94364891,94426012,94448171,94496219,94597859,94635409,94697699,94750211,94769771,94844664,94853699,94866491,94881074,94929971,94942571,95005091,95042219,95217611,95223539,95311499,95323091,95340419,95431619,95448491,95542739,95608359,95613251,95655971,95661532,95708651,95755379,95766814,95826779,95861891,95871851,95896274,95921171,95974499,96003179,96031571,96072796,96078251,96081375,96133211,96155771,96169211,96187019,96235331,96260109,96278411,96337379,96349811,96374459,96450611,96462371,96553859,96572339,96605099,96638896,96661739,96672131,96679019,96709619,96742859,96837779,96850026,96864851,96873731,96899939,96931091,96942179,96979979,97003451,97018739,97021259,97056910,97063941,97065251,97069979,97072331,97104419,97137059,97145459,97166725,97167899,97193171,97198811,97213499,97229411,97231139,97254491,97259291,97277771,97312571,97313060,97344539,97358819,97368059,97373219,97380419,97398131,97406291,97410659,97413419,97414091,97415531,97415939,97416731,97911122,98411594,98478657,98633829,98794312,99482301,99666820,99679144,...,28698292345724893603097714042555725573059609223576512880208455210635631482629599207302793694592431699418921058022179345174651939599793412441344637132398801114667779053836240107113964358978483206022869574579064346775140910876384328228045503135362167358279659392404490523752969590327602516373755271460099195173782673519579497364113760465894392890719035372281477633583684326146471863887020378352778474268479351136452777229502204885268905281688546662063393345649595437588532710047893949454884825387221775418680738187578460243252523277216429450430474390838486563976118177903083368202490317093867065554812069356405950777041893247393152301162128313383744076123713619550376132583706501271260171509914887964631588006926556277328111364417193947292670486194153381248397855759474474373625541408113043568724150615777813733798527257697587276481250652888463517660765580800021863683183573486966054160356204260191357763445035333052166044556345163584608930553767788003595625806151331595639199360178056490932145737064645085814826170597954170594209820229132958832331481032418069114919604215314545743509713875785912236796697838554824704590926133402420228554524679864166190648428420618755665537767385990937776018166189867607397900564136405434709882661523425885478687779145357756130958604754587791192023297037602302794943397244233483348008885581769994567661991563871617056398843248805769288339255833392486367220758280201357091616311611336058126977536053135677200690721221189800597294232884956707198996849798469911090569084264984292586663564006042828264954631206684227413068566981970408210611661680911874272513391930350753018192427161767176192723047357617511360455676430012825148971575916973485925469639328204538483055109898426347327661229591104639827884743617624405282377757012648939896460863858484192441376066456027500042085812277704604607015154272172303700699877789098251947775331276181054635870768669373402152366162655319091846107076574401761573357585231501310077575557186690788956528134670921461626339386870204290088718654819391497466048604722498276962743956255165220425419919667202940148821888458641330397334688309384367833216527302414033882481532909825421779223744231211865197714934136272404979084737400930793689386786553952538261860055297558407841204577513372937505718182851081662235175933452058523465932241960735541845144056012188004129115638918223899204352500241684888108235242380525688049992547583045743260928104043706996634754994300515153284605798510036889528385157487645558242523579178806821099409192985621790408623798702880914653960159113507945467815026442268162005092094700965183667676660690975587650474086376198592275879424162066813835953256245476842549737790212711533867893185189693341331256719156146348843472219312023619102332261611906960915308130520153002218259919201712268978244911853674014206952588096027288828420071987291880571118047378265237580428895251363038008875198708006834637280870171347756495818901116547006120396344140794492091087389409286429643148788068214457464579272673895940912498028332650481857519732482636965233091338436600559479588858454224541570113440218273122666986988401117299578492288095013115768281566652640331857660227601}
19741 108883868425772267548716552115467973793161512513567502118381862993687197: {39478,650991,966623,1380890,1657068,1714683,1873115,1972700,2247738,2346323,2367240,2422731,2525056,2663145,2819531,2840688,3195774,3351890,3644315,4022268,4373178,4771514,4868123,5101523,6346298,6477023,6717359,7176988,7287890,7301651,7426523,7937891,8238362,8608463,8711378,8745468,9066140,9252890,9311951,9805071,10046771,10252840,10430930,10493171,10503183,10879368,11103468,11534445,11548731,12025091,12145672,12239289,12303408,12383123,12451715,12517116,12567962,13433354,13619915,13663881,13841334,14036831,14352530,14386811,14742332,14851538,14942058,15331499,15404618,15711483,16266525,16343898,16402251,16748531,17098732,17124731,17215178,17223036,17350960,17693219,17757674,17975951,18125391,18469371,18793523,18858995,19519830,19543034,20186031,20288793,20350154,20699231,20821152,20871183,20970376,21515123,22330511,22335515,22630794,22787099,23423796,23591673,23703148,24153325,24283983,24426760,24773651,25133372,25679930,25982283,26128991,26262458,26399891,26646568,26802618,26847890,27385391,27435314,27480105,27675183,27918620,28085325,28445356,28980314,28983990,29312112,29570330,29823515,29957680,29977389,30396995,30735890,30806108,30815916,30916256,30996623,31280651,31806131,31900730,31991176,32051451,32217468,32976126,33103442,33373691,33502344,33702390,33830315,33861640,34193992,34231631,34392783,34504750,34780788,35039123,35180565,35390930,35392971,35484396,35788218,35846111,35949216,35990073,36476394,36883068,36921311,37327130,37525936,37690137,37714130,37719183,37727123,37877788,38094345,38280876,38429651,38468241,39873491,39944411,40034811,40442868,40596378,40633968,40776914,40850138,41405700,41748623,41881625,42100523,42216678,42275805,42283871,42309923,42469116,42551411,42753359,42845325,43086323,44006716,44079962,44166080,44280890,44616995,44792556,44956751,45094192,45201352,45256956,45437330,45701680,45713214,45795525,46382572,46592571,46871315,46918191,47091023,47120008,47371898,47568783,47850671,47890451,47996315,48848560,48902330,48999818,49123019,49159763,49292500,49686840,50018891,50055890,50080569,50241995,50257950,50730966,50851521,50902216,51208730,51414390,51665339,51718703,51800392,52252634,52744730,52999296,53010009,53063931,53137068,53540394,53608480,53895890,54267731,54524796,54842016,54954630,55342972,55897695,56149199,56245578,56478554,56884936,56962130,57223983,57264993,57292154,57547451,57595578,58275441,58357340,58501331,58572083,58618272,58682796,59151000,59619725,59624208,59640890,59651474,59977365,60067068,60133811,60290394,60309540,60405530,60537525,60538511,60552323,60574223,60787730,61395779,61450476,61551890,61697268,61965083,62193971,62773165,62983823,63094400,63293676,63553451,63975856,63995553,64081211,64100872,64180911,64223930,64330176,64573360,64675068,65023151,65034794,65052611,65591471,65945556,66465743,66544875,66852731,67077234,67201499,67272890,67598234,67620171,67674140,67712351,68354556,68414930,68547011,68648291,69097715,69375525,69708268,69999740,70028808,70069811,70331471,70724091,70877999,70981200,71039891,71401625,71543670,71569068,71684858,71835515,71972838,72113481,72371448,72486636,72645030,72945276,73256411,73297658,73768072,73862268,73928291,74000560,74362057,74403659,74472904,74646620,74757705,75043643,75327798,75337778,75339471,75713280,75841298,76313248,76594511,77068716,77098271,77375123,77476683,77488032,77509211,77525330,77584523,77826995,77961131,78389391,78502931,78782409,78879932,79454291,79603311,79741552,79821851,79853850,80727468,80760832,81115851,81208968,81417711,81417879,82048211,82097916,82102883,82696715,82758131,82917258,82989081,83000392,83250630,83573330,83782017,83919784,83999688,84331439,84427211,84455963,84559034,84647354,84925178,84926579,84951971,85109771,85177440,85395165,85681950,85852404,86202618,86277803,86445023,86780296,87174036,87219251,87409551,87427691,87922523,87949394,88003983,88250771,88341045,88472303,88800672,88848530,89342723,89419979,89575944,89675950,89709246,89976890,90855936,91082831,91088176,91360089,91369583,91394080,91555679,91575923,91846731,91992323,92549258,92857199,93030396,93251471,93375441,93392394,93530651,94230448,94409757,94499649,94667471,95164451,95431965,95771018,95824620,95867036,96515498,96731930,96885371,97368698,97387994,97494131,97627833,98126831,98796525,99034792,99134031,99219611,99236058,99583240,99900756,...,38264389794299858137463618723407634097412812298102017173611273614180841976839465609737058259456575599225228077362905793566202586133057883255126182843198401486223705405114986809485285811971310941363826099438752462366854547835179104304060670847149556477706212523205987365003959453770136688498340361946798926898376898026105996485485013954525857187625380496375303511444912434861962485182693837803704632357972468181937036306002939847025207042251395549417857794199460583451376946730525265939846433849629033891574317583437946991003364369621905933907299187784648751968157570537444490936653756125156087406416092475207934369389190996524203068216171084511658768164951492733834843444942001695013562013219850619508784009235408369770815152556258596390227314925537841664530474345965965831500721877484058091632200821037084978398036343596783035308334203851284690214354107733362484910911431315954738880474939013588477017926713777402888059408460218112811907405023717338127501074868442127518932480237408654576194316086193447753101560797272227458946426972177278443108641376557425486559472287086060991346285167714549649062263784739766272787901511203226971406032906485554920864571227491674220717023181321250368024221586490143197200752181873912946510215364567847304917038860477008174611473006117054922697729383469737059924529658977977797345180775693326090215988751828822741865124331741025717785674444523315156294344373601809455488415481781410835970048070847569600920961628253067463058977179942276265329133064626548120758779019979056782218085341390437686606174942245636550758089309293877614148882241215832363351189240467670690923236215689568256964063143490015147274235240017100198628767889297981233959519104272717977406813197901796436881639454806186437179658156832540376503676016865253195281151811312256588501421941370000056114416370272806142686872362896404934266503718797669263700441701574739514494358225831202869821550207092122461476102099202348764476780308668413436767409582254385275370846227895282168452515826939053451624873092521996621398139629997702616991941673553627233893226222937253531762517944855107196446251079179157110955369736552045176642043879767229038964992308282486930286578848363206638779649867907724919182382071936717682480073730077877121606103351163916674290910468108882980234577936078031287909655947647389126858741349584005505487518557631865605803333655579850810980323174034250733323396777394324347904138724942662179673325734020204379474398013382519371180209983527410990031438905075761465878923980829053878165064937174552871946878818010593957086701923024216006789459601286911556902214254634116867298781834931456367839232216089085114604341660635790066317053616948711823857580252924455108342292208195131791296292416031492136443015482542614553744174026870669624346558935616358637659882471565352275936784128036385104560095983055840761490729837686983440571860335150717345166931610675779516374493561797008661091868155396008160528458854392656121449852545715239524198384090952609952772363565194587883330704443533975810026309976849286977455117915467412639451811272299388760151253624364163555982651201489732771323050793350821024375422203520442476880303468}
19742 109308757032939773560379924886678812794603659158852464697243379499732571: {59217,512902,847057,867988,906982,1200541,1221958,1615318,1693942,2071335,2086822,2209424,2286244,2322358,2465875,2485602,2724817,2959050,2996984,3106438,3156320,3230308,3371607,3550860,3787584,3889057,4121041,4261032,4699741,4793661,5027835,5137558,5276641,5363024,5371222,5830904,6033402,6081277,6149062,6382102,6559767,7080358,7157271,7699942,7777318,7907197,8360797,8971235,9090262,9321478,9519447,9783478,10014262,10051537,10244902,10475398,10552198,10627463,10765482,10782502,10931835,11012662,11332675,11395942,11503741,11660624,11931862,12084838,12161302,12314182,12357543,12612541,12816050,12833437,13067067,13073428,13077622,13118202,13164241,13534918,13599210,13687222,13879335,13915558,13933597,14004244,14219782,14505824,14590237,14804624,15182090,15379260,15398308,15570337,15646395,15678877,16266598,16319052,16404544,16644358,16652497,16655202,16689488,16946278,18000982,18218508,18349079,18427915,18455112,18775674,18851943,18902518,19352422,19577158,19644241,19855777,19922744,20026198,20150031,20762001,20948644,21369862,21373415,21528795,21688700,21791864,21869668,22113498,22114102,22267741,22277307,22413087,22930918,22964048,23005078,23097757,23106927,23315747,23671798,23820241,24026017,24167188,24515847,24625828,24927622,25148758,25222438,25648098,25822767,25834554,26026440,26169277,26212970,26232679,26573917,26636511,26914708,26985958,27051724,27178717,27644902,27761536,27828244,27881041,27992279,28081057,28083478,28886038,29175997,29279745,29314551,29374141,29628935,29919743,30174392,30525231,30533450,30556957,30655057,31064998,31137382,31231728,31282102,31354438,31416715,31455564,31534717,32020897,32378644,32795041,32835194,33229558,33276541,33308210,33564577,33946191,34643044,34710241,34898275,35135694,35236822,35373757,35554722,35556695,35593942,35736824,35808022,35939677,36306982,36640140,36783697,36876262,36900244,37160518,37373542,37447100,37700058,37714657,37799158,37992541,38224198,38507635,38519895,38638417,38645320,38860678,39082816,39213718,39372241,39393687,39457418,39551183,39636838,39918598,39969852,39988970,40010557,40203927,40271835,40283041,40735741,41087888,41113222,41152971,41230007,41366497,41813782,41877930,42327050,42668034,42735268,42742490,42861622,42956624,43149217,43470471,43475985,43678417,43854241,43968168,44044822,44355495,44530678,44539439,44669792,44936520,45084982,45292582,45325343,45776422,45855517,45857044,46103835,46199677,46209162,46223874,46374384,46457041,46535158,46713757,46907420,47190628,47223238,47312528,47347235,47360662,47566678,47717624,47841142,47851095,47932288,47978278,47986764,48183862,48326202,48635192,48868102,49177424,49464189,49655163,49774319,50027638,50239741,50253516,50292244,50435782,50553585,50792460,50896957,51041168,51290988,51318118,51711997,51757125,52171182,52265302,52332838,52467862,52519837,52670278,52680541,53074678,53086395,53142022,53226594,53379748,53522183,53682327,53747398,53923824,54128504,54150262,54178624,54284422,54351478,54665041,54714591,54816751,55008395,55056541,55088038,55207600,55212637,55324602,55488982,55978874,55990695,56088263,56288904,56355718,56367740,56451037,56501690,56571195,56595227,56625488,56688358,56816682,56987041,57086998,57127100,57421314,57595297,57948742,57978215,58279462,58345558,58477702,58499041,58675798,58741798,58900010,59021437,59466397,59723408,60124102,60202237,60342608,60664302,60858337,60894567,60950952,61060700,61107142,61165371,61220317,61237942,61275207,61303318,61615625,62010337,62108550,62123428,62557588,62616763,63003217,63062422,63247067,63257158,63325017,63425044,63627770,63703674,64034662,64051357,64120657,64547063,64616278,64750490,64809697,64938838,65163791,65287741,65582758,65627041,66010074,66119943,66249120,66421335,66774092,67010600,67057702,67188834,67441078,67641288,67755937,67802028,67823878,67885434,68155995,68206102,68406097,68552520,68569821,68841862,69112957,69178715,69349318,69412678,69573858,69684817,69773858,69874141,70188241,70298038,70665728,70680012,70739542,70751908,70849424,70996477,71054422,71057847,71106170,71304097,71306038,71387192,71808502,71853277,72625343,72699728,72946675,73122688,73272840,73353495,73429811,73496758,73499727,73559062,73817041,73938750,74281297,74491702,74530260,74798077,74994104,75049558,75083835,75358918,75386925,75420742,75421777,75702397,75932759,75976438,76096449,76298644,76353324,76368541,76752337,76794104,76813095,77121585,77616337,77700588,77819398,77882557,78157696,78243728,78378951,78491542,78514141,78735478,78868000,78929437,79117095,79283398,79404982,79498944,79695697,79702154,79705602,79969820,80089424,80126090,80133142,80310591,80387192,80396257,80412720,80496358,80692177,80716700,80843835,81034141,81179617,81401878,81420637,81642742,81763078,81787194,81933968,81943462,82085917,82263024,82431945,82451642,82663558,82903078,83011837,83014458,83202118,83598241,83918182,84172477,84368367,84391568,84453718,84592675,84631942,84691741,84717831,84989857,85116541,85327404,85443195,85574548,85740241,85773568,85938231,86233424,86393367,86546641,86655443,87111958,87135335,87247777,87272471,87438397,87499675,87536010,87589597,87639718,87698278,87776977,87873862,87927408,88024194,88146337,88726500,88968541,89069834,89416417,89436312,89461335,89477211,89621782,89918077,90081697,90085462,90100602,90160228,90435591,90464310,90490342,90576002,90608295,90872797,90934141,90952102,90995197,91086241,91139408,91176637,91181595,91642822,91762717,91815142,91987318,92175714,92210090,92216662,92327835,92331238,92388502,92500700,92545902,92560198,92587837,92719057,92846038,93091130,93101917,93308275,93371744,93468577,93530422,93796177,93977041,94131517,94212502,94298788,94614241,94641600,94779142,94940514,94948822,95240317,95363041,95391560,95397457,95400598,95425424,95772541,95776538,95879137,95894077,95907622,95963784,96151308,96296017,96301078,96335895,96371617,96469462,96485987,96495264,96581638,96626641,96648848,96700477,96828241,96846817,96860040,97012602,97039741,97090897,97157857,97234141,97250017,97260368,97363741,97379041,97384657,97387357,97417597,97426237,97433041,97436497,97436641,97552191,97588342,97922758,98145382,98227871,98483024,98599915,98918334,99144022,99676940,...,57396584691449787206195428085111451146119218447153025760416910421271262965259198414605587389184863398837842116044358690349303879199586824882689274264797602229335558107672480214227928717956966412045739149158128693550281821752768656456091006270724334716559318784808981047505939180655205032747510542920198390347565347039158994728227520931788785781438070744562955267167368652292943727774040756705556948536958702272905554459004409770537810563377093324126786691299190875177065420095787898909769650774443550837361476375156920486505046554432858900860948781676973127952236355806166736404980634187734131109624138712811901554083786494786304602324256626767488152247427239100752265167413002542520343019829775929263176013853112554656222728834387894585340972388306762496795711518948948747251082816226087137448301231555627467597054515395174552962501305776927035321531161600043727366367146973932108320712408520382715526890070666104332089112690327169217861107535576007191251612302663191278398720356112981864291474129290171629652341195908341188419640458265917664662962064836138229839208430629091487019427751571824473593395677109649409181852266804840457109049359728332381296856841237511331075534771981875552036332379735214795801128272810869419765323046851770957375558290715512261917209509175582384046594075204605589886794488466966696017771163539989135323983127743234112797686497611538576678511666784972734441516560402714183232623222672116253955072106271354401381442442379601194588465769913414397993699596939822181138168529968585173327128012085656529909262413368454826137133963940816421223323361823748545026783860701506036384854323534352385446094715235022720911352860025650297943151833946971850939278656409076966110219796852694655322459182209279655769487235248810564755514025297879792921727716968384882752132912055000084171624555409209214030308544344607401399755578196503895550662552362109271741537338746804304732325310638183692214153148803523146715170463002620155151114373381577913056269341842923252678773740408580177437309638782994932097209444996553925487912510330440850839839334405880297643776917282660794669376618768735666433054604828067764963065819650843558447488462423730395429868272544809958169474801861587378773573107905076523720110595116815682409155026745875011436365702163324470351866904117046931864483921471083690288112024376008258231277836447798408705000483369776216470484761051376099985095166091486521856208087413993269509988601030306569211597020073779056770314975291116485047158357613642198818385971243580817247597405761829307920318227015890935630052884536324010184189401930367335353321381951175300948172752397184551758848324133627671906512490953685099475580425423067735786370379386682662513438312292697686944438624047238204664523223813921830616261040306004436519838403424537956489823707348028413905176192054577656840143974583761142236094756530475160857790502726076017750397416013669274561740342695512991637802233094012240792688281588984182174778818572859286297576136428914929158545347791881824996056665300963715039464965273930466182676873201118959177716908449083140226880436546245333973976802234599156984576190026231536563133305280663715320455202}
19743 109735291919027565492170778399679461704504567227254807406280251100277705: {78956,769353,1084985,1301982,1360473,1832937,1933246,2422977,2540913,2622361,2761780,2857805,3130233,3314136,3332173,3429366,3483537,3728403,3746230,3945400,4037885,4438575,4495476,4659657,4692646,4734480,4845462,4986377,5050112,5102041,5326290,5639062,5681376,5695901,6391548,6703780,7288630,7706337,7938697,8044536,8056833,8746356,9050103,9223593,9543028,9573153,9710621,9736246,10203046,10419713,10620537,11005033,11549913,11665977,12692596,12954046,13434718,13635393,13839961,13982217,14353976,14575780,14603302,14675217,14853046,15021393,15355241,15367353,15713097,15828297,15875782,16079377,16148223,16173753,16341785,16476724,16518993,17093913,17216926,17422756,17432401,17490936,17505305,17897793,18127257,18132280,18241953,18471273,18505780,18623902,18913441,19067881,19224075,19247885,19610142,19616433,19677303,20093542,20302377,20398815,20505680,20530833,20861860,20873337,20986342,21006366,21329673,21758736,22206936,22773135,23068890,23097462,24050182,24291344,24399897,24478578,24606816,24766246,24903430,24966537,24982803,25034232,25135924,25419417,26185805,26402593,26679977,26866708,27001473,27110875,27239830,27327762,27337085,27682668,28073662,28163511,28353777,28705060,28773622,29028633,29365737,29484664,29703076,29884116,30039297,30208985,30218957,30662998,30782285,30809236,31269721,31422966,32054793,32096537,32364553,32533050,32687796,32804502,33050141,33170247,33171153,33497062,33643385,33814655,34197464,34249462,34396377,34430356,34446072,34507617,34701920,34785305,35386438,35507697,35515348,35951902,36250782,36938742,37220777,37391433,37587046,37717990,37723137,37833657,38472147,38499857,38751831,39039660,39086068,39319455,40372062,40473305,40478937,40577586,40700308,41055641,41398462,41467353,41642304,41742366,41752921,41940752,42125217,42555793,43030246,43303805,43329057,44661022,44671030,45261588,45574198,45800175,46125305,46597497,46706073,46808875,46847592,46923153,47031657,47183346,47287561,47362441,47406296,48306650,48567966,48853520,49252791,49547302,49588541,49844337,49962315,50266744,50526697,51359860,51964566,52257982,52524916,52703541,52799782,52855233,53293136,53332083,53390913,53419085,53605236,53695780,53712033,54460473,54770782,54870628,54960210,55314393,55350366,55528001,55740777,55837240,56060313,56170650,56323817,56550087,56550793,56698737,56890712,57321305,57336297,57505373,57591017,57960628,57967980,58054477,58291017,58624224,58634275,58820577,58988285,59140660,59186127,59455257,59647030,59877897,59915360,59954778,59983455,60793990,61059037,61471780,61612216,61631832,61669833,61706033,61832512,61993246,62463793,62561302,62611537,62720673,62816895,62865305,63490575,63612262,63801460,63982352,64002051,64102902,64113735,64292433,64434936,65619841,65952252,66067233,66206884,66238537,66439241,66724685,66747382,66796017,67004688,67069817,67194841,67208377,67404780,67627473,67660630,67723280,67938873,68387984,68463262,68664633,68785566,69009500,69313743,69335811,69561576,69802737,70078246,70338793,70361130,70376701,70459675,70781860,70785942,70834857,70968792,71040993,71350017,71408875,71545513,71576436,71620177,71692222,71761713,71898432,71967417,71980146,72275793,72489303,72952788,73302153,73766136,73842622,74395817,74654260,74707033,75041457,75051872,75103073,75248657,75380274,75428260,75438366,75454246,75653673,75755576,76188690,76325875,76503977,76561752,76859302,76936482,76977177,77517193,77654285,77779421,78196985,78256773,78397953,78499257,78701793,79005417,79007773,79034701,79281305,79612017,79713033,79746982,79839891,79888822,80069622,80450297,80621097,80885736,81192756,81225393,81267936,81426633,81527217,81553828,81700276,81764113,82625737,82632057,82811400,82986903,83233473,83467615,83497246,83763250,83968311,84201046,84433356,84533577,84551610,84567742,84619846,84752535,84938232,85032537,85060061,85102822,85225023,85506718,85630497,85690650,86131971,86172646,86795113,86923113,87019073,87318877,87419193,87518337,87716553,87882431,87931597,88013432,88013697,88024801,88112697,88159924,88332160,88350015,88439885,88561780,88976861,89212657,89233990,89585112,89913502,90186153,90188384,90402704,90513912,90874660,90996453,91403360,91426428,91506041,91591050,91660713,91856913,91954977,92765144,93162825,93185142,93742630,93836382,93995297,94182046,94240016,94466857,94593633,94743796,94885737,95137566,95373305,95441655,95555511,95701342,95780902,95878273,95992630,96051993,96736801,96795773,96924417,97125735,97408257,97697120,97804660,97999636,98037197,98246038,98319526,98374137,98585000,99015111,99373680,99777613,99962275,...,86094877037174680809293142127667176719178827670729538640625365631906894447888797621908381083777295098256763174066538035523955818799380237324033911397196403344003337161508720321341893076935449618068608723737193040325422732629152984684136509406086502074838978177213471571258908770982807549121265814380297585521348020558738492092341281397683178672157106116844432900751052978439415591661061135058335422805438053409358331688506614655806715845065639986190180036948786312765598130143681848364654476161665326256042214562735380729757569831649288351291423172515459691928354533709250104607470951281601196664436208069217852331125679742179456903486384940151232228371140858651128397751119503813780514529744663893894764020779668831984334093251581841878011458582460143745193567278423423120876624224339130706172451847333441201395581773092761829443751958665390552982296742400065591049550720460898162481068612780574073290335105999156498133669035490753826791661303364010786877418453994786917598080534169472796437211193935257444478511793862511782629460687398876496994443097254207344758812645943637230529141627357736710390093515664474113772778400207260685663574039592498571945285261856266996613302157972813328054498569602822193701692409216304129647984570277656436063337436073268392875814263763373576069891112806908384830191732700450044026656745309983702985974691614851169196529746417307865017767500177459101662274840604071274848934834008174380932608159407031602072163663569401791882698654870121596990549395409733271707252794952877759990692018128484794863893620052682239205700945911224631834985042735622817540175791052259054577281485301528578169142072852534081367029290038475446914727750920457776408917984613615449165329695279041982983688773313919483654230852873215847133271037946819689382591575452577324128199368082500126257436833113813821045462816516911102099633367294755843325993828543163907612306008120206457098487965957275538321229723205284720072755694503930232726671560072366869584404012764384879018160610612870266155964458174492398145814167494830888231868765495661276259759001608820446465665375923991192004064928153103499649581907242101647444598729476265337671232693635595593144802408817214937254212202792381068160359661857614785580165892675223523613732540118812517154548553244986705527800356175570397796725882206625535432168036564012387346916754671697613057500725054664324705727141577064149977642749137229782784312131120989904264982901545459853817395530110668585155472462936674727570737536420463298227578956865371225871396108642743961880477340523836403445079326804486015276284102895551003029982072926762951422259128595776827638272486200441507859768736430527649213370638134601603679555569080023993770157468439046530416657936070857306996784835720882745924391560459006654779757605136806934734735561022042620857764288081866485260215961875641713354142134795712741286685754089114026625596124020503911842610514043269487456703349641018361189032422383476273262168227859288929446364204643372393737818021687822737494084997951445572559197447910895699274015309801678438766575362673624710340320654819368000960965203351898735476864285039347304844699957920995572980682803}
19744 110163479417560917524919631138351701551917957231188928752140833660246819: {98695,118434,335359,925759,1025804,1631863,1694114,1735976,1813964,1952973,2401082,2443916,2899869,3230636,3269359,3385783,3387884,3452225,3734623,4142670,4173644,4418848,4572488,4644716,4931750,4971204,5144049,5449634,5469103,5619345,5918100,5993968,6043663,6158359,6212876,6312640,6460616,6743214,6845023,7038969,7101720,7268193,7575168,7778114,7989435,8242082,8379725,8458593,8522064,8550343,9399482,9587322,10055670,10275116,10553282,10726048,10742444,10798903,10932945,11245159,11661808,11928785,12066804,12162554,12298124,12559729,12764204,13119534,14117743,14160716,14314542,14604369,15100759,15304569,15399884,15554636,15644359,15814394,15865745,16721594,17693623,17800759,17942470,18180524,18219725,18228583,18642956,18974503,19038894,19293103,19431069,19566956,20028524,20103074,20152077,20489804,20595905,20950796,21104396,21254926,21400543,21530964,21565004,21778445,21863670,21904953,22025324,22279569,22651183,22665350,22791884,23007482,23132225,23321248,23685463,23813673,23863724,23994343,24169676,24322604,24628364,24715086,25223383,25225082,25632100,25666874,25799081,25825389,26077325,26134134,26146856,26155244,26236404,26239663,26328482,27069836,27148159,27198420,27248743,27374444,27550063,27758670,27831116,27867194,27935853,28008488,28250623,28439564,29011648,29046943,29180474,29245303,29415213,29609248,29922781,30134359,30140313,30364180,30625759,30758520,30796616,31002257,31140674,31292790,31357754,31419905,31479513,31509549,32089159,32533196,32638104,32669983,32809088,33288716,33304994,33310404,33378976,33583385,33892556,34015159,34603335,34646193,35440759,35881325,36001964,36075273,36437016,36475903,36698158,36717867,36850159,36855830,36910224,37128845,37149369,37355145,37551348,37703886,37805036,38511545,38704844,39154316,39288482,39620359,39711554,39711583,39845488,40052396,40300062,40859745,40890943,40981159,40991643,41480509,41520943,41524002,41789863,41879359,41897288,41968783,42110493,42739724,42746830,43037945,43057590,43160433,43377400,43583728,43739336,43983401,44226996,44228204,44394185,44535482,44554614,44826174,44879383,45861836,45928096,45994497,46010156,46176463,46195514,46213854,46631494,47134449,47343596,47457343,47640482,48049543,48052034,48302263,48334376,48799575,48857585,49031694,49206753,49251656,49639159,49779373,49855244,50245593,50297516,50444876,50793823,50875385,51296196,51365863,51374193,51645534,51669108,52052880,52096159,52338554,52425940,52465358,52820623,53079657,53147834,53273022,53618743,53698159,53829416,53910689,53927853,53971916,54103448,54357434,54376173,54566983,54822317,55289804,55408113,55523072,55656488,55762082,55984558,56162114,56166956,56380569,56576985,56739223,57197359,57577159,57772076,58331359,58351994,58559490,58629102,58748282,59003983,59078359,59257870,59839486,60348784,60558093,60841783,60866379,61050462,61066900,61113914,61310114,61348303,62097693,62129996,62274764,62350759,62463456,62564204,62613549,62623121,62708876,62833430,62911128,63058159,63069434,63128503,63253489,63827983,64041794,64199825,64545369,64757288,64783433,65477359,65590082,65656145,65670388,66085183,66219463,66286129,66459116,66553082,66616420,66991533,67006545,67119725,67129154,67892382,68134159,68361297,68393503,68588285,68780359,69286088,69420482,69482863,69796550,69983441,70051159,70113943,70271388,70473644,70613623,70747514,70775019,71109444,71113390,71187884,71473648,71599159,71616044,71660143,71879354,72450785,72459975,72506359,72613964,72851949,73042903,73280280,73456183,73567394,73749223,73752524,73800488,73924183,73925825,74001629,74320953,74321036,74560159,74747084,74894200,75187423,75400116,75429314,75598316,75985082,76448396,76525759,76839725,76853863,77011753,77015270,77039790,77276834,77290640,77609359,77721356,77822623,77946849,78165632,78350743,78386973,78427436,78744482,78787374,78914836,79102366,79129423,79199673,79273676,79690159,79751825,79837196,79939704,79977940,79992343,80021114,80142463,80407854,80543670,80566082,80980903,81169501,81223543,81368263,81416359,81471482,81703423,82156173,82175776,82226444,82305942,82316503,82363159,82440315,82460014,82732994,82758605,82825759,82871623,83025549,83461303,83627564,83755860,84126583,84255975,84388159,84604159,84654100,84860983,85336068,85470536,85484980,85723244,85913248,86261875,86298434,86625703,86940942,86951970,87356834,87401143,87628159,87708482,87778063,87936336,87963823,88037623,88089644,88184359,88220863,88477325,88710990,89061356,89078878,89213743,89339584,89470545,89789023,89873040,89932167,90169964,90565759,90585164,90597223,90650686,90877159,90999703,91190985,91552844,91711034,91714088,91739503,91910359,92022823,92050759,92207670,92216863,92399354,92418324,92447748,92487943,92620783,92748768,92751823,92914082,92983159,92989869,93070316,93233359,93317825,93331423,93427514,93476359,93712159,93814840,93841953,94270159,94285325,94355263,94381256,94397383,94446476,94480759,94625056,94694470,94721324,94899583,94975759,95133356,95356783,95418393,95435248,95576743,95682284,95702190,95768983,95864576,95906359,95956556,95973528,96154353,96177223,96322159,96367724,96434263,96630103,96652404,96715063,96850201,96916159,97078159,97107103,97141663,97245703,97261903,97270384,97297183,97311223,97315759,97333183,97341463,97353343,97418359,97451623,97456159,97637441,97736204,98354848,98928378,99310326,99548638,...,114793169382899574412390856170222902292238436894306051520833820842542525930518396829211174778369726797675684232088717380698607758399173649765378548529595204458671116215344960428455857435913932824091478298316257387100563643505537312912182012541448669433118637569617962095011878361310410065495021085840396780695130694078317989456455041863577571562876141489125910534334737304585887455548081513411113897073917404545811108918008819541075621126754186648253573382598381750354130840191575797819539301548887101674722952750313840973010093108865717801721897563353946255904472711612333472809961268375468262219248277425623803108167572989572609204648513253534976304494854478201504530334826005085040686039659551858526352027706225109312445457668775789170681944776613524993591423037897897494502165632452174274896602463111254935194109030790349105925002611553854070643062323200087454732734293947864216641424817040765431053780141332208664178225380654338435722215071152014382503224605326382556797440712225963728582948258580343259304682391816682376839280916531835329325924129672276459678416861258182974038855503143648947186791354219298818363704533609680914218098719456664762593713682475022662151069543963751104072664759470429591602256545621738839530646093703541914751116581431024523834419018351164768093188150409211179773588976933933392035542327079978270647966255486468225595372995223077153357023333569945468883033120805428366465246445344232507910144212542708802762884884759202389176931539826828795987399193879644362276337059937170346654256024171313059818524826736909652274267927881632842446646723647497090053567721403012072769708647068704770892189430470045441822705720051300595886303667893943701878557312818153932220439593705389310644918364418559311538974470497621129511028050595759585843455433936769765504265824110000168343249110818418428060617088689214802799511156393007791101325104724218543483074677493608609464650621276367384428306297607046293430340926005240310302228746763155826112538683685846505357547480817160354874619277565989864194418889993107850975825020660881701679678668811760595287553834565321589338753237537471332866109209656135529926131639301687116894976924847460790859736545089619916338949603723174757547146215810153047440221190233631364818310053491750022872731404326648940703733808234093863728967842942167380576224048752016516462555672895596817410000966739552432940969522102752199970190332182973043712416174827986539019977202060613138423194040147558113540629950582232970094316715227284397636771942487161634495194811523658615840636454031781871260105769072648020368378803860734670706642763902350601896345504794369103517696648267255343813024981907370198951160850846135471572740758773365325026876624585395373888877248094476409329046447627843661232522080612008873039676806849075912979647414696056827810352384109155313680287949167522284472189513060950321715581005452152035500794832027338549123480685391025983275604466188024481585376563177968364349557637145718572595152272857829858317090695583763649992113330601927430078929930547860932365353746402237918355433816898166280453760873092490667947953604469198313969152380052463073126266610561327430640910404}
19745 110593325886258590348129286702712660025195993317034350059757938497673687: {157912,177651,1282255,1518979,1538706,2169970,2267455,2541171,2603964,2720946,3054895,3601623,3665874,3687079,3866492,4000927,4038295,4234855,4845954,5081826,5217055,5244722,5523560,5653039,5715610,5805895,5892991,6214005,6260466,6366007,6628272,6664346,6858732,6967074,7397625,7456806,7492460,7766095,7890800,8016679,8075770,8174451,8877150,8990952,9319314,9385292,9468960,9690924,9711607,9972754,10100224,10114821,10178179,10204082,10380319,10420771,10652580,10853047,11278124,11362752,11391802,11474023,11667171,12363123,12783096,12843895,13407560,13428055,13721839,14099223,14380983,14577260,15083505,15372655,15412674,15725119,15787783,15829923,15877394,15955255,16089072,16113666,16556767,17492712,17700895,18100206,18147103,18243831,18447186,18559183,19086056,19146306,19249855,19421242,19443295,19472492,19679301,20406092,20839426,21241074,21471813,22010066,22393879,22725655,22878499,23099826,23303695,23331954,23721591,24458695,24507427,25035655,25082391,25385192,25612255,25908092,26188495,26380495,26869436,26913705,26947039,26956255,27270786,27531655,27584383,27679922,27964434,28247923,28489855,28558341,28707952,29151560,29206604,29350434,29532679,29706092,29829655,30042786,30154611,30212095,30403255,30710482,30734706,30785455,31426194,31656594,31751564,31882389,32040125,32158754,32296446,32303023,32347506,32527363,32683570,32694055,32795505,32953448,33037986,33809479,33837295,33998025,34187826,34190479,34218055,34433852,34511223,34662343,34788895,34845512,34864802,34981872,35010610,35090803,35549455,35795586,36254514,36264560,36483906,36660127,36942546,37011560,37072629,37247804,37826882,37837623,37932271,37955225,38135762,38271919,38448150,38495770,38500311,38930023,39201201,39220284,39232866,39354606,39492723,40187084,40604754,40666495,40797630,41011360,41059843,41061666,41485543,41610895,41638005,41723720,41746674,41800791,41972684,42012732,42292579,42365695,42659346,43095199,43517472,43642519,43770711,43988191,44413872,45002455,45499831,45546270,46137780,46194924,46711011,46939185,47036631,47100739,47256295,47340517,48100364,48381055,48520303,48582688,48699427,48708979,48799794,48942895,48957156,49213632,49532492,49806860,49933074,49957491,49965606,49981063,50065495,50068464,50254159,50271848,50838834,50963791,52234999,52371610,52805186,53359954,53424655,53733416,53792563,54002946,54221750,54479660,54655524,54674170,55047237,55061479,55283745,55285255,55365336,55422487,56147324,56327022,56329603,56555829,56662627,56707554,57327295,57410120,57512695,57547244,58019203,58057266,58731474,58932723,58969328,59179495,59285479,59406152,59567331,59768232,60078594,60417970,60437914,60450093,60625327,60846727,61325996,61564570,61618472,62060707,62286003,62319055,62539442,62606851,62658343,62845932,62871895,63056095,64109586,64120245,64193074,64239031,64270711,64575427,64586385,64729106,65066100,65375592,65409319,65532425,65604979,65609004,66100282,66340494,66342306,66446083,66564511,66803223,66831921,66866503,66994124,67239261,67286770,67464895,67629310,67707079,67970083,68062111,68394928,68498924,68792754,68860712,68892144,69015234,69112255,69293271,69320781,69403840,69570610,69947241,70208695,70646323,70772876,71015394,71030696,71460723,71903804,72078051,72215095,72501564,73326691,73547541,73877484,74000179,74441554,74782866,74786719,75174092,75254359,75256423,75435980,75446274,75667314,76333625,76944294,76999714,77468301,77503662,77662495,77843455,78079320,78172136,78205255,78386095,78507831,78519103,78638910,78698037,78914887,79183807,79526563,79721751,79909533,80249827,80458531,80744124,80946610,80957874,81155172,81176023,81349183,81400616,81536151,82024447,82087985,82111282,82583599,82796924,82934706,83073895,83108359,83143519,83270525,83284608,83484732,83505842,83643123,83881504,83976837,84243171,84250434,85068799,85111586,85277863,85799683,85972039,86060492,86259991,86607610,86658114,87527991,87839235,87943653,88011427,88092055,88122423,88886805,88930231,88984855,89052127,89322044,89342060,89520055,89638399,89759229,90413791,90523176,90767455,91148396,91575693,91600350,91670871,91930663,91965171,92190655,92250610,92427031,92467351,92898319,92901295,93026959,93194994,93412146,93414559,93433855,93617750,93695184,93846306,94063314,94250145,94366692,94497895,94575122,94604151,94724882,94812592,94889719,95067127,95560495,95995891,96062691,96613300,97135932,97151695,97256611,97707040,97733383,98034295,98047231,98385123,98505582,98643545,98818723,98974579,99092095,99094604,99177082,99205399,99444727,99688674,99796495,99829623,99924630,99972425,...,172189754074349361618586284255334353438357655341459077281250731263813788895777595243816762167554590196513526348133076071047911637598760474648067822794392806688006674323017440642683786153870899236137217447474386080650845465258305969368273018812173004149677956354426943142517817541965615098242531628760595171042696041117476984184682562795366357344314212233688865801502105956878831183322122270116670845610876106818716663377013229311613431690131279972380360073897572625531196260287363696729308952323330652512084429125470761459515139663298576702582846345030919383856709067418500209214941902563202393328872416138435704662251359484358913806972769880302464456742281717302256795502239007627561029059489327787789528041559337663968668186503163683756022917164920287490387134556846846241753248448678261412344903694666882402791163546185523658887503917330781105964593484800131182099101440921796324962137225561148146580670211998312996267338070981507653583322606728021573754836907989573835196161068338945592874422387870514888957023587725023565258921374797752993988886194508414689517625291887274461058283254715473420780187031328948227545556800414521371327148079184997143890570523712533993226604315945626656108997139205644387403384818432608259295969140555312872126674872146536785751628527526747152139782225613816769660383465400900088053313490619967405971949383229702338393059492834615730035535000354918203324549681208142549697869668016348761865216318814063204144327327138803583765397309740243193981098790819466543414505589905755519981384036256969589727787240105364478411401891822449263669970085471245635080351582104518109154562970603057156338284145705068162734058580076950893829455501840915552817835969227230898330659390558083965967377546627838967308461705746431694266542075893639378765183150905154648256398736165000252514873666227627642090925633033822204199266734589511686651987657086327815224612016240412914196975931914551076642459446410569440145511389007860465453343120144733739168808025528769758036321221225740532311928916348984796291628334989661776463737530991322552519518003217640892931330751847982384008129856306206999299163814484203294889197458952530675342465387271191186289604817634429874508424405584762136320719323715229571160331785350447047227465080237625034309097106489973411055600712351140795593451764413251070864336073128024774693833509343395226115001450109328649411454283154128299955285498274459565568624262241979808529965803090919707634791060221337170310944925873349455141475072840926596455157913730742451742792217285487923760954681047672806890158653608972030552568205791102006059964145853525902844518257191553655276544972400883015719537472861055298426741276269203207359111138160047987540314936878093060833315872141714613993569671441765491848783120918013309559515210273613869469471122044085241715528576163732970520431923751283426708284269591425482573371508178228053251192248041007823685221028086538974913406699282036722378064844766952546524336455718577858892728409286744787475636043375645474988169995902891145118394895821791398548030619603356877533150725347249420680641309638736001921930406703797470953728570078694609689399915841991145961365606}
19746 111024837707124592447701827746050665428460210097876449293353389088585558: {138173,197390,236868,374813,571793,670718,729233,925853,1161533,1851518,2051608,2308059,2686433,2919953,3192029,3254955,3263726,3388228,3471952,3627928,3773729,3905946,4081419,4662173,4802164,4833115,4887832,5008673,5124029,5239313,5392913,5498811,5508029,5799738,6082529,6158993,6461272,6538718,6771566,6775768,6904450,6959933,7112093,7226129,7268931,7469246,7622739,7867083,8285340,8347288,8573415,8815073,8837696,9144976,9228893,9289432,9365575,9379133,9390699,9791633,9863500,9942408,9996519,10288098,10450611,10800029,10899268,10938206,11185209,11238690,11617373,11731615,11836200,11987936,12087326,12113655,12316718,12425752,12578333,12625280,12836129,12909713,12921232,13315725,13486428,13497233,13690046,13936529,13978971,14077938,14097655,14203440,14536386,14666129,14920733,14959131,15150336,15306123,15556228,15646013,15682193,15978870,16484164,16548113,16700299,16727933,16759450,16917186,17044128,17086973,17087703,17100686,17909729,18221575,18692753,18798964,19174644,19330529,20111340,20550232,20668433,21018593,21106564,21437729,21452096,21484888,21597806,21612029,21865890,22133729,22212043,22490318,22653629,22757393,23119011,23323616,23791073,23816091,23857570,24031229,24099773,24133608,24170499,24305213,24325108,24340615,24596248,25119458,25124093,25507615,25528408,26239068,26242529,26343773,26680733,27150309,27184673,27251729,27670779,27753629,28235486,28321432,28629084,28719459,28834267,28983953,29131863,29208738,29248529,29347613,29479613,29973473,30170513,30201518,30489823,30609138,30629153,30661853,30799768,31109272,31216529,31259139,31288718,31628788,31639133,31731490,31861611,32092733,32125073,32385115,32673629,33015099,33443188,33586795,34018973,34649739,34997931,35387246,35444753,35476253,35601518,35759393,35884940,36104573,36361048,36439450,36457166,36480029,36508255,36639031,36854333,36885473,37132615,37285912,37630433,37949006,38077788,38586206,38708573,38862138,39133912,39167633,39655313,39689455,40057048,40080353,40206148,40304154,40906179,40979608,40985873,41191810,41519883,41901592,41946651,42208792,42330653,42509852,42801086,43042315,43061928,43130008,43556890,43688573,43727340,43747229,43809906,43952273,43987867,44025651,44050648,44273693,44559138,44710433,45064179,45261053,45302366,45330700,45583768,45923729,46009853,46014964,46065723,46102059,46210529,46264450,46296413,46559755,46642496,46781729,46980893,47016739,47139291,47370926,47484891,47491229,47627346,47717213,47727448,47988686,48055229,48238131,48251873,48339352,48444669,48521259,48645208,48895229,49025355,49090193,49256728,49430172,49556979,50224253,50233855,50446766,50450164,51264200,51281739,51333748,51453473,51598162,51650778,51980383,52154650,52268268,52293712,52297203,52310488,52465855,52472808,52479326,52515915,52656964,53173793,53651729,53693379,53731133,53916163,54139672,54258653,54296318,54381771,54396840,54442529,54497486,54521213,54652193,54725859,54748888,55100126,55413819,55517340,55662232,55666973,55734388,55744529,55871706,56016976,56501246,56740323,56879128,57077393,57203643,57229793,57584273,57609533,57672225,57743655,58023296,58093886,58213373,58360948,58490606,58663229,58830426,58849299,58862333,59031909,59036129,59085713,59218496,59845562,59850173,60125455,60253123,60268718,60280626,60728360,60873629,60907131,60994529,61196445,61251518,61517040,61592499,61593232,61915615,62004514,62073629,62144993,62151859,62258575,62281348,62311229,62585580,62620011,62715508,62839810,62959026,63019098,63066173,63136529,63206813,63905693,63989019,64137053,64178318,64459613,64597373,64790011,65031713,65066392,65276208,65339966,65508413,65618176,65891729,66116129,66577432,66609988,66620808,66757952,67116029,67166770,67226129,67489553,67785112,68030318,68034653,68099575,68143073,68319405,68400619,68424029,68746529,68810813,69109853,69206670,69292386,69639953,69990547,70081373,70184155,70332029,70436129,70881518,71015393,71056529,71225539,71629073,71730653,71762650,71912993,71934055,72003928,72150546,72516113,72775229,72874032,72934013,72951806,73072529,73199691,73396316,73407293,73435734,73603133,73661729,73700318,73711660,73720253,73817633,73820448,73953629,74009143,74257690,74298738,74474513,74710290,74761373,74818529,74875613,74899611,74948409,75102696,75197729,75407772,75536273,75610072,75611153,75723233,75890813,76258251,76536353,76562239,76646033,76657495,76773629,77023090,77409688,77459453,77638013,77851229,78216787,78308632,78379229,78557415,78576964,78951713,78986129,79207779,79240718,79423108,79423166,79549373,79690976,79718333,79970273,80039931,80104792,80203793,80369633,80468753,80600124,80715293,80748029,80992529,81004419,81202973,81235229,81332625,81428093,81444113,81719490,81781886,81962318,81983286,81999773,82011255,82375133,82707703,82761233,82883729,82961018,82990493,83041886,83048004,83338529,83488529,83579726,83742655,83758718,83794576,83937566,84220986,84328253,84487313,84490533,84544913,84916193,85061331,85268093,85479448,85493660,85623655,85752353,86075890,86115180,86293793,86320866,86520029,86559713,86754800,86757053,86887613,87004433,87085899,87107729,87167456,87427229,87465233,87478672,87641633,87804029,87903293,87966802,87989729,88097211,88138699,88173629,88198013,88210193,88379873,88453992,88456408,88466095,88738193,88788370,88914653,89070964,89109228,89124029,89467229,89546273,89652348,89758766,89836433,89879755,89935613,90117891,90207713,90293729,90368573,90432413,90485393,90559229,90626955,90656871,90902033,91024529,91206113,91444193,91639073,91723672,91735313,91856192,91878173,91918603,91988994,92020312,92075153,92232029,92259473,92323229,92346855,92352926,92391028,92427708,92485373,92529953,92636129,92767229,93007133,93149729,93262988,93273629,93500093,93516029,93610973,93658013,93712529,93809163,93828029,93967615,94221713,94268898,94293473,94294975,94565693,94687192,94740413,94819229,94884029,94914686,95165729,95196029,95238113,95280964,95390993,95442653,95499293,95786129,95847953,95923613,95928593,96012029,96023599,96045713,96074273,96097853,96099086,96104068,96144413,96164379,96221729,96289611,96339773,96402833,96456029,96503933,96515729,96604526,96668752,96726173,96736529,96813533,96928529,96963473,97005533,97093659,97128029,97139729,97169213,97230113,97255229,97264529,97282529,97316129,97320893,97394333,97408529,97423229,97437713,97438493,97458173,97472993,97474973,97475933,97599150,97715170,98063388,98413506,98503312,99150423,99278318,99510741,99513459,99558746,99710488,...,258284631111524042427879426383001530157536483012188615921876096895720683343666392865725143251331885294770289522199614106571867456398140711972101734191589210032010011484526160964025679230806348854205826171211579120976268197887458954052409528218259506224516934531640414713776726312948422647363797443140892756564044061676215476277023844193049536016471318350533298702253158935318246774983183405175006268416314160228074995065519843967420147535196919958570540110846358938296794390431045545093963428484995978768126643688206142189272709494947865053874269517546379075785063601127750313822412853844803589993308624207653556993377039226538370710459154820453696685113422575953385193253358511441341543589233991681684292062339006495953002279754745525634034375747380431235580701835270269362629872673017392118517355542000323604186745319278285488331255875996171658946890227200196773148652161382694487443205838341722219871005317997469494401007106472261480374983910092032360632255361984360752794241602508418389311633581805772333435535381587535347888382062196629490983329291762622034276437937830911691587424882073210131170280546993422341318335200621782056990722118777495715835855785568800989839906473918439984163495708808466581105077227648912388943953710832969308190012308219805178627442791290120728209673338420725154490575198101350132079970235929951108957924074844553507589589239251923595053302500532377304986824521812213824546804502024523142797824478221094806216490990708205375648095964610364790971648186229199815121758384858633279972076054385454384591680860158046717617102837733673895504955128206868452620527373156777163731844455904585734507426218557602244101087870115426340744183252761373329226753953840846347495989085837125948951066319941758450962692558619647541399813113840459068147774726357731972384598104247500378772310499341441463136388449550733306298900101884267529977981485629491722836918024360619371295463897871826614963689169615854160218267083511790698180014680217100608753212038293154637054481831838610798467893374523477194437442502484492664695606296486983828779277004826461339396996127771973576012194784459310498948745721726304942333796188428796013013698080906786779434407226451644811762636608377143204481078985572844356740497678025670570841197620356437551463645659734960116583401068526711193390177646619876606296504109692037162040750264015092839172502175163992974117181424731192449932928247411689348352936393362969712794948704636379561452186590332005755466417388810024182712212609261389894682736870596113677614188325928231885641432021571509210335237980413458045828852308686653009089946218780288854266777385787330482914817458601324523579306209291582947640111914403804811038666707240071981310472405317139591249973808212571920990354507162648237773174681377019964339272815410420804204206683066127862573292864245599455780647885626925140062426404387138223860057262267342079876788372061511735527831542129808462370110048923055083567097267150428819786504683577866788339092613930117181213454065063468212482254993854336717677592343732687097822045929405035316299726088020874131020961964458104002882895610055696206430592855118041914534099873762986718942048409}
19747 111458021286540286955674635912212834914644109400365036594227573216417954: {296085,315824,355302,1006077,1795157,2564510,2777277,3037958,3077412,3174437,4120853,4235285,4276853,4339940,4357457,4534910,4895589,5082342,5207928,5441892,5653613,5858919,5928797,6002705,6109790,7114949,7203246,7303877,7331748,7374158,7732984,8001854,8017493,8076590,8128253,8469710,8699607,9474257,9691908,9808077,10157349,10163652,10356675,10381373,10434110,10489444,10854149,10872533,11047120,11203869,11306078,11431220,11601533,11611790,11785982,12028757,12329375,12428010,12520932,12732014,13256544,13328692,13560209,13624085,13717464,13934148,14391197,14795250,14913612,14984920,15336173,15432147,15532190,15781600,16033358,16151540,16348902,16407309,16753637,16858035,17575133,17698613,17754300,17981453,17981904,18130989,18475077,18638628,18658289,18770584,18799277,18937920,19381848,19423214,19445285,19464509,19945508,20200448,20229642,20356358,20408164,20535069,20605205,20760638,20841542,21116907,21117713,21305160,21521717,21706094,21804579,22337357,22556248,22725504,22783604,22948046,23334342,23498705,23968305,24726246,24781253,25028453,25139175,25375779,25566192,25651029,25687790,26383205,26815120,26856110,26949797,27220613,27393773,27443678,28198446,28761966,29154520,29963813,30167010,30406385,30745310,30825348,31450238,31575566,31659846,31754788,31815917,31910510,32178144,32227332,32396709,32625173,32798835,33113534,33383909,33735477,34242173,34902257,34985424,35049917,35401790,35786355,35857157,36200412,36294206,36353189,36487662,36663893,36894372,36932693,37118366,37679187,37738757,38172112,38292612,38441429,38499710,38544317,38842484,38886590,38944984,39358602,39535985,39885797,39956657,40812184,41470949,41489789,41678852,41761517,41803985,42296933,42322877,42353229,42482148,42564557,42943626,43099637,43813107,44020132,44787758,44856175,45302277,45451310,45756998,45771677,45913707,46008209,46199652,46607390,46663908,46933077,47372213,47443182,47597235,47905277,48525269,48704453,48776933,48917390,49014854,49028369,49138133,49769237,50071310,50164782,50257685,50770384,51224510,51816184,52376990,52760990,53080869,53137315,53402277,53738872,53827410,53894078,53912510,54541572,54659175,54685749,55063310,55168766,55359844,55928868,56166413,56495846,56663375,56923509,56933093,56979710,57116682,57242837,57415904,57518705,57565157,57879309,58255253,58293207,58303120,58380293,58413208,58700868,59065358,59068529,59311973,59412184,59659310,60085572,60309222,60424190,60456231,60806510,61420964,61469412,61570910,61787715,61984049,62852388,63003437,63062705,63313188,63503128,63573029,63764778,64080250,64167185,64201629,64317508,64592892,64606046,64695012,65043053,65054726,65072657,65335335,65367140,65388110,65591010,65611733,65714859,65821205,65906896,66073373,66075972,66158813,66571349,66838707,66873389,67618958,67674590,67733477,67953549,67996050,68375652,68380958,68436110,68520053,68568149,68669309,68867704,69022446,69324686,69396675,69577790,69667985,69691024,69729604,69963744,70021220,70064657,70091693,70181606,71056389,71098910,71441019,71591172,71983029,72509028,72529120,72951185,72967812,73104533,73278833,73320254,73885092,73951037,74023120,74050769,74145258,74426693,74495608,74794517,75653764,75670149,75675246,75864542,75910450,75917393,76271524,76543838,76896300,76991540,77000622,77397243,77399357,77476167,77533157,77608277,77851685,77860046,77984993,78231975,78394385,78402402,78440568,78465732,78527189,78709212,78718989,78985446,79024049,79846433,80017457,80258213,80374168,80517773,81209508,81332990,81357509,81444477,81595260,81746229,81935057,82022720,82119686,82123332,82650189,82783469,82851293,82971086,83221790,83262485,83276010,83447440,83491109,83493348,83601582,83807559,83945368,84025464,84107813,84357293,84585158,84731390,84751869,85135829,85318692,86190398,86698109,87034944,87140829,87246677,87285038,87454757,87541422,87578993,87735909,87976382,88020653,88245639,88278533,88499549,88827744,88939409,89370077,89768343,90004910,90165797,90403077,90420939,90999662,91092540,91397549,91745395,91877277,92020517,92139575,92275560,92389848,92885813,93006771,93280013,93422022,93559517,93878370,94073262,94201478,94259715,94438539,94450853,94512590,94528647,94681034,94869077,95076893,95193653,96200728,96267477,96757157,96762110,97040606,97165376,97398854,97417958,97599588,97885790,97914312,98009949,98157389,98221205,98292173,98427264,98801309,99064984,99249989,99278885,99613720,99866148,99914982,99931212,99962126,...,344379508148698723237172568510668706876715310682918154562501462527627577791555190487633524335109180393027052696266152142095823275197520949296135645588785613376013348646034881285367572307741798472274434894948772161301690930516611938736546037624346008299355912708853886285035635083931230196485063257521190342085392082234953968369365125590732714688628424467377731603004211913757662366644244540233341691221752213637433326754026458623226863380262559944760720147795145251062392520574727393458617904646661305024168858250941522919030279326597153405165692690061838767713418134837000418429883805126404786657744832276871409324502718968717827613945539760604928913484563434604513591004478015255122058118978655575579056083118675327937336373006327367512045834329840574980774269113693692483506496897356522824689807389333764805582327092371047317775007834661562211929186969600262364198202881843592649924274451122296293161340423996625992534676141963015307166645213456043147509673815979147670392322136677891185748844775741029777914047175450047130517842749595505987977772389016829379035250583774548922116566509430946841560374062657896455091113600829042742654296158369994287781141047425067986453208631891253312217994278411288774806769636865216518591938281110625744253349744293073571503257055053494304279564451227633539320766930801800176106626981239934811943898766459404676786118985669231460071070000709836406649099362416285099395739336032697523730432637628126408288654654277607167530794619480486387962197581638933086829011179811511039962768072513939179455574480210728956822803783644898527339940170942491270160703164209036218309125941206114312676568291410136325468117160153901787658911003681831105635671938454461796661318781116167931934755093255677934616923411492863388533084151787278757530366301810309296512797472330000505029747332455255284181851266067644408398533469179023373303975314172655630449224032480825828393951863829102153284918892821138880291022778015720930906686240289467478337616051057539516072642442451481064623857832697969592583256669979323552927475061982645105039036006435281785862661503695964768016259712612413998598327628968406589778394917905061350684930774542382372579209635268859749016848811169524272641438647430459142320663570700894094454930160475250068618194212979946822111201424702281591186903528826502141728672146256049549387667018686790452230002900218657298822908566308256599910570996548919131137248524483959617059931606181839415269582120442674340621889851746698910282950145681853192910315827461484903485584434570975847521909362095345613780317307217944061105136411582204012119928291707051805689036514383107310553089944801766031439074945722110596853482552538406414718222276320095975080629873756186121666631744283429227987139342883530983697566241836026619119030420547227738938942244088170483431057152327465941040863847502566853416568539182850965146743016356456106502384496082015647370442056173077949826813398564073444756129689533905093048672911437155717785456818573489574951272086751290949976339991805782290236789791643582797096061239206713755066301450694498841361282619277472003843860813407594941907457140157389219378799831683982291922731212}
19748 111892883055356845354063340859581744790064333689668847117749506514949879: {276346,394780,473736,532953,611227,749626,1143586,1200907,1318627,1341436,1458466,1851706,2323066,2725651,2959147,3703036,3846765,4103216,4556937,4616118,4701187,5278267,5372866,5393467,5424925,5839906,5968387,6384058,6427027,6509910,6527452,6766361,6776456,6802365,6943904,7112827,7255856,7547458,7623513,7811892,8162838,8476651,9164685,9324346,9604328,9605251,9666230,9775664,10017346,10248058,10390987,10478626,10785826,10804869,10997622,11016058,11061237,11599476,11618587,12002781,12114885,12165058,12317986,12616507,12704565,12922544,13077436,13111805,13543132,13551536,13808900,13919866,14047651,14224186,14289025,14452258,14537862,14594851,14938492,15245478,15651165,15683851,15734166,16424261,16570680,16660865,16694576,16959117,17146830,17417685,17630146,17675392,17678973,18289952,18457786,18578864,18588187,18642015,18731150,18758266,18781398,19098021,19583266,19727000,19736717,19884816,19967851,19993038,20189425,20284507,20576196,20901222,21600058,21798536,21876412,22192875,22370418,22477380,22794427,23234746,23298285,23463230,23672400,23827987,23930947,23975872,24050037,24174652,24227310,24342067,24523353,24633436,24851504,24931885,25156666,25250560,25364827,25510205,25672258,25819426,25842464,26481547,26631450,26683651,26972856,26994466,27380092,27873058,27890227,27957942,28155876,28190251,28195310,28406880,28479505,28489627,28688851,29072772,29134821,29332258,29383867,29482867,29841466,29918262,30300672,30344463,30534537,30612246,30665251,31112456,31140957,31262313,31292026,31364386,31642651,31934467,31957740,32128651,32559141,32968328,33096226,33383827,33400598,33455866,33518900,33834372,34076861,34088256,34173946,34175406,34201372,34422069,35001513,35291107,35480251,35669107,35710661,35819458,36443150,36889651,37089369,37385506,37597928,38282851,38349288,38531685,38661058,39202651,39385747,39693485,39842227,40222680,40284165,40541413,40840147,41100464,41165517,41200867,41336866,41470651,42037186,42213128,42297669,42875458,42904192,42969776,43142949,43195612,43224058,43300673,43693651,43731780,43957387,44267458,44424086,44980636,45250515,45307258,45339161,45514786,45612667,46117965,46129987,46238022,46301851,46647232,46986427,47021513,47175357,47363349,47489769,47582146,47632182,47715140,47865765,48062458,48199546,48267216,48340998,48553105,48610426,48650216,48681230,49096027,49192496,49670301,50238916,50248186,50257747,50504851,50915251,51015230,51056816,51111557,51985661,52098565,52478136,52485058,52687546,52699627,52779907,53102685,53339851,53361466,53896267,54291547,54300618,54369346,54441309,54503458,54685027,54731493,55025165,55341558,55507258,55565237,55677549,56470972,56642864,56855251,57084427,57258168,57438918,57616651,57668534,57749565,57967906,58220587,58263726,58329885,58417476,58497058,58595707,58695226,58959226,59037903,59266387,59946946,60259241,60341026,60403036,60979646,61171147,61218276,61258306,61323706,61599536,61675651,62176627,62218544,62433058,62518278,62577436,63238267,63257576,63278266,63462980,63723222,64145251,64185466,64250146,64415439,64490851,64770230,65183657,65347258,66030198,66392947,66886376,67058587,67173590,67181637,67978387,68037946,68176965,68635497,68691187,69116773,69140251,69199805,69267907,69299478,69911085,69995862,70278787,70327397,70774492,70889506,70952506,71164773,71203036,71518786,71760547,71769880,72209146,72365707,72722096,72878900,72914332,72960058,73016510,73259947,73278062,73376085,73436851,73452197,73522281,73708666,73770946,73847107,74265230,74571824,74885851,75106965,75247173,75260866,75621547,75898012,76155576,76570013,76776205,76836765,77002147,77172412,77417146,77541787,77724276,78224729,78267824,78335266,78565485,78599467,79141485,79310626,79378910,79577587,80114096,80160706,80381107,80396885,80412296,80480251,80608308,80741115,80841117,80868765,81117667,81455851,81708925,81812358,81959216,81971746,82383620,82594965,82716101,82753149,82773307,83002627,83039766,83093851,83410867,83635147,83803184,83893302,84078307,84175637,84417584,84514267,84661306,84716797,84743769,84985507,85019704,85196827,85469565,85572667,85602172,85675023,85778947,85983427,86084630,86123856,86260016,86306851,86586067,86625667,86681861,87113780,87162005,87377146,87454680,87494458,87526525,87619812,87904546,87929227,87975734,88051302,88101296,88223851,88296787,88547386,88598037,88692787,88940251,89045227,89118276,89184187,89390467,89420866,89488965,89960851,90124651,90128358,90382987,90463833,90522106,90542107,90604732,90636285,90661400,90854947,91167536,91209765,91220851,91663651,91847458,91893187,92019706,92029928,92034307,92131446,92204118,92283787,92356365,92421058,92438021,92500651,92528900,92592826,92765251,92946187,93119510,93148651,93284992,93563458,93705067,93961786,94033478,94047427,94201651,94278582,94561507,94567205,94741852,94763467,94969782,94982458,95052907,95254692,95339405,95378851,95413627,95434426,95454896,95499307,95647167,95870251,95945851,95977372,96063067,96091651,96110458,96120375,96239425,96257107,96424651,96476262,96503746,96521707,96678704,96771361,96882787,96889338,96909069,96910651,96973147,97015627,97042518,97187851,97220251,97262587,97290416,97445251,97457851,97477651,97487227,97492627,97582089,97790458,98050710,98082165,98180386,98257817,98386515,98513456,98860344,99113958,...,516569262223048084855758852766003060315072966024377231843752193791441366687332785731450286502663770589540579044399228213143734912796281423944203468383178420064020022969052321928051358461612697708411652342423158241952536395774917908104819056436519012449033869063280829427553452625896845294727594886281785513128088123352430952554047688386099072032942636701066597404506317870636493549966366810350012536832628320456149990131039687934840295070393839917141080221692717876593588780862091090187926856969991957536253287376412284378545418989895730107748539035092758151570127202255500627644825707689607179986617248415307113986754078453076741420918309640907393370226845151906770386506717022882683087178467983363368584124678012991906004559509491051268068751494760862471161403670540538725259745346034784237034711084000647208373490638556570976662511751992343317893780454400393546297304322765388974886411676683444439742010635994938988802014212944522960749967820184064721264510723968721505588483205016836778623267163611544666871070763175070695776764124393258981966658583525244068552875875661823383174849764146420262340561093986844682636670401243564113981444237554991431671711571137601979679812947836879968326991417616933162210154455297824777887907421665938616380024616439610357254885582580241456419346676841450308981150396202700264159940471859902217915848149689107015179178478503847190106605001064754609973649043624427649093609004049046285595648956442189612432981981416410751296191929220729581943296372458399630243516769717266559944152108770908769183361720316093435234205675467347791009910256413736905241054746313554327463688911809171469014852437115204488202175740230852681488366505522746658453507907681692694991978171674251897902132639883516901925385117239295082799626227680918136295549452715463944769196208495000757544620998682882926272776899101466612597800203768535059955962971258983445673836048721238742590927795743653229927378339231708320436534167023581396360029360434201217506424076586309274108963663677221596935786749046954388874885004968985329391212592973967657558554009652922678793992255543947152024389568918620997897491443452609884667592376857592026027396161813573558868814452903289623525273216754286408962157971145688713480995356051341141682395240712875102927291319469920233166802137053422386780355293239753212593008219384074324081500528030185678345004350327985948234362849462384899865856494823378696705872786725939425589897409272759122904373180664011510932834777620048365424425218522779789365473741192227355228376651856463771282864043143018420670475960826916091657704617373306018179892437560577708533554771574660965829634917202649047158612418583165895280223828807609622077333414480143962620944810634279182499947616425143841980709014325296475546349362754039928678545630820841608408413366132255725146585728491198911561295771253850280124852808774276447720114524534684159753576744123023471055663084259616924740220097846110167134194534300857639573009367155733576678185227860234362426908130126936424964509987708673435355184687465374195644091858810070632599452176041748262041923928916208005765791220111392412861185710236083829068199747525973437884096818}
19749 112329429468988049329706553943903302891581168138877984036203289173331246: {414519,493475,592170,631648,710604,1124439,1676795,1715379,2012154,2187699,2386967,2777559,3484599,3590314,4628795,4870099,5129020,5554554,5929399,6075916,6154824,6287171,6348874,6924177,7706219,8059299,8159315,8241706,8403787,8470570,8553706,8679880,8714914,8759859,8883347,9069820,9475219,9576087,9764865,9791178,10164684,10415856,10883784,11307226,11321187,11602711,11717838,11857594,12005410,12219580,12244257,13137899,13986519,14229898,14406492,14499345,14607754,14663496,14748316,15026019,15372087,15465968,15717939,16003708,16034986,16084279,16153180,16178739,16256506,16346795,16496433,16524087,16928915,16939420,17261125,17399214,18247587,18476979,18673115,18919207,18948514,19073719,19383816,19616154,20314698,20327304,20713350,20762746,20868220,20879799,20978888,21336279,21678387,21708298,21745066,21806793,22094240,22407738,22574107,22612156,22862440,22868217,23203066,23223580,23571964,23601249,23730827,24057514,24658750,24856020,25041864,25464028,25720245,26445219,26513088,26657384,27120418,27223399,27248170,27345515,27434928,27686679,27868296,28096725,28137399,28172097,28782394,28847287,29374899,29590500,29827224,29969840,29989557,30218315,30672346,30791795,30864294,31064380,31351833,31563200,32066716,32303080,32374459,32400087,32697804,32814618,32898187,33507274,33555627,33639971,33716070,34225115,34852119,35150266,35194845,35397226,35411779,35508600,35951927,35962906,35963808,36261978,36340965,36936487,36950154,37277256,37316578,37541168,37598554,37734999,37875840,37886747,38508387,38511671,38729139,38763696,38846428,38890570,38929018,39891016,39947175,40400896,40459284,40491699,40712716,40816328,41070138,41210410,41521276,41683084,41809587,41898625,41936913,42233814,42235426,42292965,42345347,42568939,42610320,42751715,43043434,43412188,43609158,43998387,44674714,44762199,44877393,45112496,45451008,45567208,45896092,45918369,46668684,46938039,46997410,47046579,47302039,47936610,49033387,49452492,49562506,49603739,49644339,50056906,50100897,50183799,50278350,50751558,51132384,51260919,51263109,51302058,51375580,52766410,53630240,53712220,53729187,53899594,53994515,54441226,54664725,54787546,54887356,55350379,56078259,56225795,56396892,57523019,57523932,57608771,57991587,58072339,58309040,58525579,59499779,59643925,59927626,60141587,60334020,60812770,61490620,61650696,62005299,62798645,62900476,63055779,63151132,63319692,63449627,63509576,63631834,63821020,64313187,64356288,64454664,64793418,64836087,65250346,65597670,66227068,66258811,66401187,66459767,66636129,66767818,67090379,67470954,67721027,67960887,68272179,68484346,69357033,69804514,69970848,70099834,70360759,70588715,70803580,71373219,71448273,71572710,71714314,72093687,72299319,72400824,72511497,72588412,72706378,72915639,72975324,73021845,73327786,73788744,73846711,73865386,74015447,74236732,74392241,74729899,75126119,75358374,75372279,75477514,75503795,76344224,76522845,76527671,76585224,76882858,76999420,77088634,77541139,77684968,77773180,77801387,77803259,77889968,78221795,78717204,78727587,79031319,79032187,79058899,79071970,79328725,79771594,79913314,80042199,80526187,81450927,81554019,81624368,81755187,81789139,82651159,82941898,82979578,83012337,83260887,83357704,83523034,83607970,84566291,84593866,84645754,84706458,84848851,84964296,85129114,85887252,86158377,86199274,86502801,86821687,86951859,87045899,87395589,87626214,87745587,87958819,88040264,88042839,88287787,88438839,88468115,89003795,89004299,89041271,89240131,89575516,89712350,89834059,89920419,90511539,90604554,90902620,91098625,91142915,91469469,91513996,91543354,91827414,91851139,91887459,91985559,92016418,92149687,92399304,93214780,93327816,93649587,93777417,93866154,94495771,94695179,94744426,94872515,94886364,94917399,95194470,95268371,95584833,95810554,95907619,96278199,96375219,96465515,97050538,97155345,97408906,97535179,97553866,97834780,98020887,98029708,98056738,98276266,99045297,99538474,...,774853893334572127283638279149004590472609449036565847765628290687162050030999178597175429753995655884310868566598842319715602369194422135916305202574767630096030034453578482892077037692419046562617478513634737362928804593662376862157228584654778518673550803594921244141330178938845267942091392329422678269692132185028646428831071532579148608049413955051599896106759476805954740324949550215525018805248942480684224985196559531902260442605590759875711620332539076814890383171293136635281890285454987936304379931064618426567818128484843595161622808552639137227355190803383250941467238561534410769979925872622960670980131117679615112131377464461361090055340267727860155579760075534324024630767701975045052876187017019487859006839264236576902103127242141293706742105505810808087889618019052176355552066626000970812560235957834856464993767627988514976840670681600590319445956484148083462329617515025166659613015953992408483203021319416784441124951730276097081896766085953082258382724807525255167934900745417317000306606144762606043665146186589888472949987875287866102829313813492735074762274646219630393510841640980267023955005601865346170972166356332487147507567356706402969519719421755319952490487126425399743315231682946737166831861132498907924570036924659415535882328373870362184629020015262175463471725594304050396239910707789853326873772224533660522768767717755770785159907501597131914960473565436641473640413506073569428393473434663284418649472972124616126944287893831094372914944558687599445365275154575899839916228163156363153775042580474140152851308513201021686514865384620605357861582119470331491195533367713757203522278655672806732303263610346279022232549758284119987680261861522539042487967257511377846853198959825275352888077675858942624199439341521377204443324179073195917153794312742501136316931498024324389409165348652199918896700305652802589933944456888475168510754073081858113886391693615479844891067508847562480654801250535372094540044040651301826259636114879463911163445495515832395403680123570431583312327507453477994086818889460951486337831014479384018190988383315920728036584353377931496846237165178914827001388565286388039041094242720360338303221679354934435287909825131429613443236956718533070221493034077011712523592861069312654390936979204880349750203205580133580170532939859629818889512329076111486122250792045278517517506525491978922351544274193577349798784742235068045058809180088909138384846113909138684356559770996017266399252166430072548136637827784169684048210611788341032842564977784695656924296064714527631005713941240374137486556926059959027269838656340866562800332157361991448744452375803973570737918627874748842920335743211414433116000121720215943931417215951418773749921424637715762971063521487944713319524044131059893017818446231262412612620049198383587719878592736798367341943656880775420187279213161414671580171786802026239630365116184535206583494626389425387110330146769165250701291801451286459359514050733600365017277841790351543640362195190404637446764981563010153032777031198061293466137788215105948899178264062622393062885893374312008648686830167088619291778565354125743602299621288960156826145227}
19750 112767667007503442081821876713221029819774497022383425982511646380447875: {217129,453721,552692,789560,808069,888255,947472,1043941,1065906,1222454,1499252,1749829,2287172,2401814,2637254,2682872,2916932,3018231,3270361,3386821,3503209,3703412,3735769,3851941,4646132,5385471,5451302,5470789,5700901,5918294,6160261,6411275,6732841,6961369,7406072,7594895,7693530,8206432,8326489,8331831,8666149,8892229,9113874,9232236,9402374,9456169,9523311,10556534,10745732,10786934,10849850,10913989,11248681,11337275,11360101,11679812,11936774,12362559,12705855,12768116,12830559,12854054,12912421,13019820,13054904,13072371,13532722,13552912,13604730,13683289,13887808,14225654,14511712,14686767,15094916,15247026,15274475,15623784,15866329,16325676,16623589,16953302,16960839,17162329,17576757,17786391,17806441,17913541,18008115,18329370,18341221,18356527,18435395,18648692,19086889,19208656,19210502,19299289,19332460,19551328,19617349,20004635,20034692,20191475,20496116,20781974,20957252,21174275,21344847,21571652,21609738,21616681,21911631,21995244,22032116,22122474,22762309,23198952,23237174,23325211,23796229,24005562,24052479,24105001,24229770,24330116,24384759,24635972,25233014,25409130,25842469,25845088,26085275,26098821,26154872,26223610,26243327,26349529,27056389,27086264,27103072,27257701,27358249,27617800,27839732,28095302,28265195,28359769,28422771,28448372,28578050,28904516,29029475,29056549,29075724,29155801,29189702,29354089,29424231,29464955,29876984,30472047,30490956,30832069,31070025,31144119,31302330,31367702,31468332,31830035,32487529,32562447,32617599,32848522,33066841,33141360,33321730,33389152,33611607,33918234,34122181,34293660,34804599,34835370,34904639,35260292,35350784,35357946,35547241,35714287,36086271,36579904,36581989,36769189,36915572,36988125,37157728,37176374,37284030,37462300,37516532,37562796,37700869,37886341,38196042,38830475,39166532,39454000,39473434,39633961,39725221,39769632,39871307,39935702,39986076,40083395,40378850,40569014,40633861,40680627,40872255,40995301,41152392,41625049,41802444,41893861,41983321,42518569,43173591,43200116,43597072,43752824,43757401,44385750,44458969,44740836,44954760,45069061,45310991,45416101,45588854,46008519,46296441,46450309,46469492,46596570,46926460,47344800,47655974,47728489,47861894,47912579,47951744,48100074,48319429,48349304,48454620,48558035,48571609,48684134,49046706,49221927,49240921,49266872,49407529,49703008,49739881,49863770,50260911,50313332,50501120,50574105,50729654,50890895,51020410,51344516,51465829,51638852,51684928,51872089,51901595,52103855,52725399,52963094,53000041,53095839,53239909,53262900,53367302,53717701,53944359,53945712,53988932,54265235,54271849,54392967,54586921,54665509,54760184,55425231,55447429,55570879,55746116,55780454,55915884,55974867,56222149,56311752,56380502,56390620,56397831,56813760,56959010,56979254,57218521,57294661,57370115,57377702,57598501,58145544,58269642,58335855,58393527,58428121,58664516,58767734,58876969,58965734,59100421,59682932,59836524,60354409,60601344,60688926,61069074,61224492,61330502,61371481,61605207,61815615,62224912,62281914,62374441,62524626,62584052,62728772,62870629,63011749,63152581,63222889,63285302,63350721,63353139,63868934,63915480,63922009,64219475,64257302,64565151,65118282,65413737,65908741,65936656,66192452,66245161,66312229,66767654,66801196,66846181,66911732,66978949,67012071,67037800,67140275,67243621,67441369,67668744,67769509,67974347,68095849,68153722,68176512,68225881,68347892,68350812,68402744,68420389,68609195,68807461,68844138,68871721,69123791,70003026,70141801,70204549,70454821,70496115,70582214,70960502,71075461,71338214,71421322,71638916,71688901,71749849,71904915,72475609,72886300,72937991,72953689,73131781,73427161,73779241,73779302,73837669,73883447,74178738,74244649,74343759,74533189,74771012,75085359,75195856,75417525,75557029,75948889,76127337,76226629,76565702,76612441,76698576,76863275,76953087,77035231,77063370,77319589,77322116,78383749,78405302,78436201,78625595,78771494,78938915,79008421,79149615,79162969,79386970,79684454,79776275,79825189,80026501,80226661,80425669,80445360,80568330,80771161,80849391,81082826,81258601,81306949,81451561,81661839,81680294,81683459,82181319,82200928,82331034,82399081,82401734,82673732,82723909,82783835,82907941,82941302,83272549,83498089,83810821,83987941,84074372,84426256,84469081,84595338,84641881,84725399,84727849,84941509,85111141,85750916,85808384,85939552,86064169,86266309,86285898,86391224,86448116,86546281,86601346,86783449,87387302,87441349,87463560,87914774,88004569,88225321,88261861,88407301,88504475,88534916,88848172,89012569,89698009,89831641,89864869,89891439,89961272,90418729,90501030,90609241,90614516,90640741,90678322,90735515,91029572,91134949,91219155,91225334,91784389,91813081,91870249,91983721,92096041,92235930,92259974,92289829,92371801,92447407,92476044,92533801,92560549,92603702,92795915,93280261,93294464,93304921,93378469,93427141,93547561,93689689,93759781,93806149,93972854,94043026,94253989,94340101,94350714,94425061,94612009,94683479,94726698,94812889,94979538,95164292,95264364,95424709,95430280,95447751,95725381,95731530,95820421,96046681,96089989,96118501,96124916,96243241,96249275,96399092,96487429,96499561,96534432,96661849,96681996,96694789,96769129,96781187,96820069,96849769,96879727,96970981,97005829,97087909,97106210,97176901,97190127,97210921,97216475,97220852,97300432,97302181,97307689,97323781,97344229,97358809,97362460,97368169,97372741,97402729,97432681,97481029,97498201,97667207,97875519,98192054,98384992,98396505,99340602,...,1033138524446096169711517705532006120630145932048754463687504387582882733374665571462900573005327541179081158088798456426287469825592562847888406936766356840128040045938104643856102716923225395416823304684846316483905072791549835816209638112873038024898067738126561658855106905251793690589455189772563571026256176246704861905108095376772198144065885273402133194809012635741272987099932733620700025073665256640912299980262079375869680590140787679834282160443385435753187177561724182180375853713939983915072506574752824568757090837979791460215497078070185516303140254404511001255289651415379214359973234496830614227973508156906153482841836619281814786740453690303813540773013434045765366174356935966726737168249356025983812009119018982102536137502989521724942322807341081077450519490692069568474069422168001294416746981277113141953325023503984686635787560908800787092594608645530777949772823353366888879484021271989877977604028425889045921499935640368129442529021447937443011176966410033673557246534327223089333742141526350141391553528248786517963933317167050488137105751751323646766349699528292840524681122187973689365273340802487128227962888475109982863343423142275203959359625895673759936653982835233866324420308910595649555775814843331877232760049232879220714509771165160482912838693353682900617962300792405400528319880943719804435831696299378214030358356957007694380213210002129509219947298087248855298187218008098092571191297912884379224865963962832821502592383858441459163886592744916799260487033539434533119888304217541817538366723440632186870468411350934695582019820512827473810482109492627108654927377823618342938029704874230408976404351480461705362976733011045493316907015815363385389983956343348503795804265279767033803850770234478590165599252455361836272591098905430927889538392416990001515089241997365765852545553798202933225195600407537070119911925942517966891347672097442477485181855591487306459854756678463416640873068334047162792720058720868402435012848153172618548217927327354443193871573498093908777749770009937970658782425185947935315117108019305845357587984511087894304048779137837241995794982886905219769335184753715184052054792323627147117737628905806579247050546433508572817924315942291377426961990712102682283364790481425750205854582638939840466333604274106844773560710586479506425186016438768148648163001056060371356690008700655971896468725698924769799731712989646757393411745573451878851179794818545518245808746361328023021865669555240096730848850437045559578730947482384454710456753303712927542565728086286036841340951921653832183315409234746612036359784875121155417067109543149321931659269834405298094317224837166331790560447657615219244154666828960287925241889621268558364999895232850287683961418028650592951092698725508079857357091261641683216816826732264511450293171456982397823122591542507700560249705617548552895440229049069368319507153488246046942111326168519233849480440195692220334268389068601715279146018734311467153356370455720468724853816260253872849929019975417346870710369374930748391288183717620141265198904352083496524083847857832416011531582440222784825722371420472167658136399495051946875768193636}
19751 113207602175721830388815055758734725379572992256765140291160574334436015: {19751,690865,829038,986950,1184340,1263296,1421208,1598859,1833681,1874065,2248878,2347513,2820961,2858965,3353590,3430758,3602721,3646165,3955881,4024308,4375398,4629265,4773934,4988401,5555118,5698213,5807665,6480313,6720769,6969198,7180628,7430293,8176953,8612833,8877441,8884249,9257590,9316681,9740198,10258040,10498501,11109108,11423041,11477521,11540295,11858798,12151832,12309648,12389413,12574342,12697748,12772969,13139233,13432165,13670811,13848354,14043961,14103561,14599765,15412438,15729913,15834801,15960145,16118598,16180401,16274775,16318630,16483412,16807574,16941140,17085409,17107412,17359760,17429828,17519718,17732581,17766694,17905161,18139640,18564841,18868645,18950438,19152174,19281081,19529730,19582356,20299083,20329368,20407095,20831712,21275161,21338481,21767568,22614452,22642374,22870539,22885513,23205422,23310865,23400709,23435676,23700481,23715188,24010820,24165575,24399301,24439160,24488514,25043365,25429953,25620145,26142361,26196565,26275798,26522689,26964565,27494055,27540145,27973038,28256569,28459796,28812984,28815753,28998690,29215508,29326992,29496632,29541721,30052038,30297601,30412645,30744174,30794965,30931936,31172961,31435878,32007416,32069972,32168558,32306360,32357478,32414607,32513012,32693590,32992866,33048174,33183711,33819841,33857830,33878840,34522250,34780309,34798428,34799665,34855761,35101561,35560465,35959969,36008343,36130645,36344655,36495174,36953958,37346230,37838414,37849521,37897028,38113695,38147438,38283721,38555221,38767632,38941969,39232308,39335415,39734881,40629396,40654608,41426700,41525492,41736440,41759598,41957776,42142953,42305641,42349681,42488641,42672558,42775249,42867075,43108513,43356774,43416596,43490132,43613586,43655881,43784553,44075365,44188480,44815476,45148214,45224312,45513793,45641413,45724880,45736434,46144465,46406132,46447160,46827875,46895665,46953495,47051553,47143928,47202498,47461654,47915161,48115028,48958165,49272783,49317500,49712040,49982595,49996441,50044501,50083728,50269561,50877351,50928056,51268129,51440490,52251013,52253055,52890438,53026176,53036919,53314768,53809129,54000145,54231241,54240836,54446798,54496340,54691030,54869856,55078441,55373358,55439473,55736592,55764561,55926045,56193450,56274798,56344194,56346961,57294063,57564788,57614689,57694574,58037089,58086865,58658075,58749798,59045761,59181000,59210151,59303761,59654448,59852401,59903553,59939680,59979114,60164581,60436630,60568275,60569641,60853521,61344692,61583590,61728588,62128760,62677681,62703666,62891665,63126400,63456121,64114021,64133432,64180645,64258693,64290433,64548565,64606160,64748918,64800174,65395608,65625241,65629236,65796374,66466609,66499753,66578625,66887161,67014548,67111254,67279942,67432140,67486165,67728001,67990921,68083093,68383281,68450230,69682645,69704238,69894855,70300532,70389690,70488275,70670881,70794452,70823558,70914289,71017200,71076421,71483961,71792841,71903854,71925812,71926921,71927616,72150111,72523956,72681930,73026201,73330645,73570059,73872974,73900308,74442049,74554512,74603665,74633156,74795655,75082336,75197108,75277513,75279721,75469998,75592321,75751680,75773494,76094481,76530615,76535569,77016774,77023342,77243461,77458278,77527392,77692856,77781140,77858036,78208801,78230065,78410965,78543361,78716113,78939073,79444641,79782032,79894350,80033941,80050953,80801792,80918568,80983398,81200869,81425432,81632656,82140276,82420820,82740565,83042552,83133961,83169001,83366168,83501495,83619174,83639665,83670681,83797250,83873826,84467628,84470852,84570753,84585930,84690694,85095013,85137878,85220640,85434865,85438515,85468881,85503430,85701409,85998361,86066553,86086868,86824376,87054841,87218316,87404463,87472801,87918103,87996774,88151601,88448601,88494961,89349428,89466289,89524398,89548645,89666041,89754786,90224992,90398449,90441793,90792901,90902016,91033389,91107875,91134416,91543969,91603611,91623013,91792184,91836738,91995753,92455393,92495653,93055441,93204529,93337368,93422871,93463765,93786939,93876078,93994820,94093158,94604078,94918801,94927953,95803401,95873220,96025273,96385953,96652645,96835621,97286593,97677423,98066774,98553313,98824201,98848969,98904984,99005401,99125012,99207478,99235813,99288678,99475393,...,1549707786669144254567276558298009180945218898073131695531256581374324100061998357194350859507991311768621737133197684639431204738388844271832610405149535260192060068907156965784154075384838093125234957027269474725857609187324753724314457169309557037347101607189842488282660357877690535884182784658845356539384264370057292857662143065158297216098827910103199792213518953611909480649899100431050037610497884961368449970393119063804520885211181519751423240665078153629780766342586273270563780570909975872608759862129236853135636256969687190323245617105278274454710381606766501882934477123068821539959851745245921341960262235359230224262754928922722180110680535455720311159520151068648049261535403950090105752374034038975718013678528473153804206254484282587413484211011621616175779236038104352711104133252001941625120471915669712929987535255977029953681341363201180638891912968296166924659235030050333319226031907984816966406042638833568882249903460552194163793532171906164516765449615050510335869801490834634000613212289525212087330292373179776945899975750575732205658627626985470149524549292439260787021683281960534047910011203730692341944332712664974295015134713412805939039438843510639904980974252850799486630463365893474333663722264997815849140073849318831071764656747740724369258040030524350926943451188608100792479821415579706653747544449067321045537535435511541570319815003194263829920947130873282947280827012147138856786946869326568837298945944249232253888575787662188745829889117375198890730550309151799679832456326312726307550085160948280305702617026402043373029730769241210715723164238940662982391066735427514407044557311345613464606527220692558044465099516568239975360523723045078084975934515022755693706397919650550705776155351717885248398878683042754408886648358146391834307588625485002272633862996048648778818330697304399837793400611305605179867888913776950337021508146163716227772783387230959689782135017695124961309602501070744189080088081302603652519272229758927822326890991031664790807360247140863166624655014906955988173637778921902972675662028958768036381976766631841456073168706755862993692474330357829654002777130572776078082188485440720676606443358709868870575819650262859226886473913437066140442986068154023425047185722138625308781873958409760699500406411160267160341065879719259637779024658152222972244501584090557035035013050983957844703088548387154699597569484470136090117618360177818276769692227818277368713119541992034532798504332860145096273275655568339368096421223576682065685129955569391313848592129429055262011427882480748274973113852119918054539677312681733125600664314723982897488904751607947141475837255749497685840671486422828866232000243440431887862834431902837547499842849275431525942127042975889426639048088262119786035636892462524825225240098396767175439757185473596734683887313761550840374558426322829343160343573604052479260730232369070413166989252778850774220660293538330501402583602902572918719028101467200730034555683580703087280724390380809274893529963126020306065554062396122586932275576430211897798356528125244786125771786748624017297373660334177238583557130708251487204599242577920313652290454}
19752 113649241503305138745734348614591828307570104007964736325225091920130687: {256607,434258,847487,907442,1044047,1105384,1243557,1397351,1480425,1579120,1616138,1776510,1894944,2087882,2131812,2444908,2920847,2998504,3373317,3499658,3542351,3774887,3891047,4123151,4574344,4803628,4894751,5030385,5125607,5146137,5240927,5274508,5365744,5471351,5509727,5833864,6036462,6046151,6428351,6540722,6563097,6771647,6773642,7006418,7160901,7228367,7342367,7406824,7471538,7703882,8100527,8332677,8365127,8553887,8930807,8975785,9231767,9292264,9682247,10019351,10393151,10453797,10632853,10770942,10902604,10915127,10941578,10952351,11401802,11732207,11836588,12065351,12320522,12822550,12840167,13024127,13354751,13465682,13886385,13922738,14050607,14123687,14269751,14610297,14670767,14812144,15189790,15387060,15868007,15872185,16120847,16412864,16652978,16661327,16663662,17332298,17784458,17788197,18227748,18464472,18804748,18861513,18911687,18912338,19046622,19124351,19336727,19442807,19654751,19831151,20359151,20604265,20772531,21113068,21176425,21384265,21491464,21573868,21699700,21787285,21827978,22487807,22497362,22674550,22720202,22764767,22799351,23110247,23118657,23282687,23359624,23833151,23873548,24004751,24177897,24313127,24477945,24725118,25211361,25234367,25370351,25411710,25536232,25661118,25675847,25708108,25809553,25824842,26039640,26082167,26109808,26144742,26279577,26352407,26554751,26650041,27065444,27092927,27105824,27209460,27361247,27366578,27762767,27775616,28006489,28263047,28268065,28425657,28451308,28562351,28728261,28761527,29023424,29192087,29294595,29357327,29373534,29390351,29643985,30013525,30082007,30189832,30494052,30548950,30573887,30835487,31014841,31247568,31732658,32651352,32684567,32813351,33247178,33295151,33455351,33743207,33906604,33921678,33934751,33963561,34126007,34324658,34808133,35153514,35551247,35572782,35574745,35612882,35827082,36016230,36116807,36519385,36586127,36658740,36682442,36713054,36732771,36804527,36870790,37297384,37519367,37736087,37890647,38173778,38291567,38417312,38421004,38598578,38664920,38813807,39102656,39234698,39272687,39413697,39571273,39668927,39851351,40009270,40069384,40087465,40275887,40382950,40638527,40641265,40909751,40992232,41250937,41540087,41563948,41809151,41914504,41959557,42348550,42523487,42689694,43143304,43219476,43233362,43439351,43498035,43762487,43823262,43850447,43990488,44064232,44244948,44493287,44562049,45078057,45450287,45524618,46026047,46116261,46198151,46312727,46397904,46474348,46484351,46627151,46650422,47153817,47309807,47371285,47592458,48011124,48104958,48184751,48210002,48252837,48459540,48536217,48660232,48769518,48996287,49040385,49271944,49489299,49572261,50407151,50466028,50571767,50786745,50818260,50927447,51091151,51336167,51684938,51690176,51783375,51878327,51905351,51906865,52170550,52197642,52309744,52447220,52486654,52699058,52846151,53549353,53750687,53909351,54112778,54172528,54206144,54270745,54278447,54304751,54362665,54515402,54541127,54698351,54716498,54742761,55220351,55235600,55430937,55454207,55480151,55679464,55765007,56019345,56023127,56116753,56190604,56530390,56623957,56719538,56757621,56845542,56869247,56896744,57156100,57221157,57250967,57630887,57809032,58007665,58058950,58113098,58151448,58310207,58311602,58379404,58708178,58848462,58929910,59281151,59626727,59753968,60142151,60143785,60361967,60532487,60944094,60981912,61017527,61234751,61379207,61646875,61664138,62140050,62168567,62288238,62334887,62604660,62639397,62735404,62936664,63043247,63160607,63230927,63254351,63660070,63860567,64008837,64069151,64300151,64553327,64975058,65035161,65124894,65235198,65329751,65420379,65443151,65697044,65782151,65984687,66133682,66282720,66643460,66778304,66877007,67223214,67450151,67722321,67778351,67800167,67801045,67836468,67981249,68120425,68234807,68244362,68429351,68450927,68558687,68587320,68604651,68837927,69604151,69609198,69670740,69730847,69809278,69920351,70234751,70520584,70526567,70651151,70701568,70715892,70803747,70961351,71094482,71192481,71247253,71428574,71596727,71779751,71901407,71955985,72172542,72385151,72662233,72864287,72945397,73082351,73159808,73163978,73456727,73495967,73538378,73691687,73750247,73831144,73867151,73890949,73964351,73976250,74138807,74315456,74352748,74568060,74715647,74849207,74906327,74924600,75033064,75125592,75401738,75567407,75754487,75772682,75971329,75977927,76347767,76392084,76623047,76680865,76896527,77059751,77160735,77660950,77777351,77937047,78131351,78333064,78394751,78412247,78656351,78908000,78946868,79267922,79335657,79450442,79539264,79742614,79836527,79871404,79972152,80104751,80166790,80318161,80437151,80453687,80757700,81092351,81138028,81238007,81267722,81318647,81334751,81361254,81479327,81559367,81670197,81691753,81744510,81909167,81990602,82036545,82145447,82304784,82735967,82843487,83060037,83072567,83250098,83525327,83604888,83768185,83787722,83966642,84015047,84234767,84290175,84412197,84516291,84754751,84826151,85037138,85123847,85598351,86347182,86400232,86541861,86599127,86678351,87147647,87186287,87194144,87316801,87378407,87467447,87505487,87505648,87514802,87568727,87875665,87943967,88030487,88124697,88251167,88275527,88324151,88457207,88493065,88672847,88744151,88771500,88917938,89038151,89096351,89338607,89481672,89486807,89907265,89909520,89968671,90109751,90138122,90433151,90443807,90621982,90654945,90832202,91058351,91159751,91177708,91654751,91837607,91885247,92017038,92083151,92120447,92305007,92314151,92368847,92375385,92531207,92549087,92592882,92717351,92813447,92900618,92938984,92977151,93193140,93196487,93291445,93345167,93705527,93829751,93852920,93875807,93996385,94049687,94055499,94212047,94689600,94693093,94835927,94933607,94952927,95142167,95215847,95264327,95311948,95424167,95447351,95456978,95644751,95677607,95723788,95747807,95825158,95858351,95903488,96052873,96078527,96107351,96135887,96200148,96331967,96384047,96480647,96505151,96509207,96534997,96569087,96638858,96698608,96701807,96716351,96766247,96790607,96817967,96838151,96841487,96909240,97009751,97106351,97116070,97123377,97129607,97143218,97195487,97200261,97225127,97226425,97229567,97322545,97326527,97328351,97337351,97344407,97364807,97368268,97377767,97459751,97466207,97469327,97483847,97489151,97517687,97530047,97531151,97533167,97534751,98093412,98443854,98481842,98533744,98694561,98815058,99406016,99479762,99727540,...,2324561680003716381850914837447013771417828347109697543296884872061486150092997535791526289261986967652932605699796526959146807107583266407748915607724302890288090103360735448676231113077257139687852435540904212088786413780987130586471685753964335556020652410784763732423990536816535803826274176988268034809076396555085939286493214597737445824148241865154799688320278430417864220974848650646575056415746827442052674955589678595706781327816772279627134860997617230444671149513879409905845670856364963808913139793193855279703454385454530785484868425657917411682065572410149752824401715684603232309939777617868882012940393353038845336394132393384083270166020803183580466739280226602972073892303105925135158628561051058463577020517792709730706309381726423881120226316517432424263668854057156529066656199878002912437680707873504569394981302883965544930522012044801770958337869452444250386988852545075499978839047861977225449609063958250353323374855190828291245690298257859246775148174422575765503804702236251951000919818434287818130995438559769665418849963625863598308487941440478205224286823938658891180532524922940801071865016805596038512916499068997461442522702070119208908559158265265959857471461379276199229945695048840211500495583397496723773710110773978246607646985121611086553887060045786526390415176782912151188719732123369559980621316673600981568306303153267312355479722504791395744881420696309924420921240518220708285180420303989853255948418916373848380832863681493283118744833676062798336095825463727699519748684489469089461325127741422420458553925539603065059544596153861816073584746358410994473586600103141271610566835967018420196909790831038837066697649274852359963040785584567617127463901772534133540559596879475826058664233027576827872598318024564131613329972537219587751461382938227503408950794494072973168227496045956599756690100916958407769801833370665425505532262219245574341659175080846439534673202526542687441964403751606116283620132121953905478778908344638391733490336486547497186211040370711294749936982522360433982260456668382854459013493043438152054572965149947762184109753060133794490538711495536744481004165695859164117123282728161081014909665038064803305863729475394288840329710870155599210664479102231035137570778583207937963172810937614641049250609616740400740511598819578889456668536987228334458366752376135835552552519576475936767054632822580732049396354226705204135176427540266727415154538341727416053069679312988051799197756499290217644409913483352509052144631835365023098527694933354086970772888194143582893017141823721122412459670778179877081809515969022599688400996472085974346233357127411920712213755883624246528761007229634243299348000365160647831794251647854256321249764273913147288913190564463834139958572132393179679053455338693787237837860147595150763159635778210395102025830970642326260561837639484244014740515360406078718891095348553605619750483879168276161330990440307495752103875404353859378078542152200801095051833525371054630921086585571213912340294944689030459098331093594183880398413364645317846697534792187867179188657680122936025946060490501265857875335696062377230806898863866880470478435681}
19753 114092591544852616888630235492600476429801834040621365632241213312064917: {19753,39502,651387,967211,1361163,1381730,1658076,1973900,2368680,2424207,2526592,2623691,2664765,2842416,3056135,3131823,3197718,3333863,3667362,3748130,4002551,4497756,4695026,5104631,5249487,5641922,5717930,5895383,6004535,6368591,6480971,6593135,6707180,6861516,7205442,7292330,7911762,7942727,8048616,8130731,8750796,9054693,9258530,9317627,9547868,9811083,9976802,10160463,10499567,10509627,11010623,11110236,11207307,11396426,11555823,11615330,12390671,12960626,13205951,13441538,13564343,13628255,13846991,13938396,14045387,14361256,14795735,14860586,15095327,16156413,16353906,16412367,17102703,17225666,17580491,17754882,17768498,18480783,18515180,18633362,18805031,19233825,19470443,19480396,19818767,20191847,20198523,20439671,20516080,20884107,20997002,21124151,22218216,22344203,22784685,22846082,22955042,23080590,23505935,23717596,24303664,24542207,24619296,24778826,24979467,24995493,25014551,25148684,25395496,25545938,25998447,26278466,26391335,26416103,26676687,26864330,26967335,27124625,27269807,27341622,27696708,28087922,28207122,28368507,28569933,29199530,29841935,29972987,30824876,31459826,31669602,31920290,32135135,32237196,32360802,32549550,32635211,32637260,32741967,32966824,33394127,33615148,33746043,33831805,33882280,34011825,34080303,34170818,34214824,34719520,34859656,34912943,35039436,35060711,35465162,35533388,35564135,35810322,35868203,36279280,36675191,37087677,37129682,37178951,37737290,37750391,37900876,38117565,38304348,38491677,38556203,38562162,38737263,39059460,39164712,39217113,39968903,40598166,40658736,40814190,41049867,41483663,41663424,42335831,42383255,42550322,42577703,42676962,42779627,43112951,43535136,44060301,45228904,45284748,45331451,45741078,45771026,45823425,46022327,46307711,46410844,46621730,46801418,46871352,47400962,47430376,47598987,48021640,48026255,48331150,48719531,48791867,48798602,48878320,48977028,49784651,49870767,50049623,50086730,50552567,50582903,50859906,50882517,51010991,51240290,51486987,51697151,51954935,52284722,52393130,52551596,52730271,53045378,53359173,53419323,53740623,53929130,54024345,54988110,55023663,55069581,55080290,55306185,55946076,56183627,56513138,56919592,57260363,57260667,57625968,57631506,57897867,57997380,58043051,58092935,58398191,58431016,58653984,58852047,58993264,59083442,59086703,60013905,60104076,60574425,60589607,60595202,60611387,60825290,61488348,61589930,61705511,61863872,62345922,62871756,63082535,63522825,63592607,64014832,64034541,64120583,64139944,64337116,64602251,64612720,64714956,64829214,64850043,65026024,65092703,65387180,65559025,65653931,65734893,65985732,66096348,66367422,66591863,66894047,67242767,67639682,67715660,67757680,68090087,68286927,68541431,68589287,68690327,69044500,69560618,69596856,69599330,69711522,69975633,70086263,70203122,70238255,70921547,71120930,71388687,71445125,71582303,71656847,71919938,72016686,72157437,72175751,72261290,72315003,72689310,72974255,72990348,73154277,73907916,74073623,74692460,75600203,75676828,75699042,75794056,75940751,76227390,76294876,76567442,77110442,77527407,77535264,77557103,77632031,77883938,78255825,78296463,78419255,78464616,78551447,78670830,78729981,79048463,79048587,79469762,80042183,81169167,81258792,81309216,81321611,81773103,81960143,82074747,82121305,82808807,82853400,83050984,83304325,83472880,83519196,83915552,84133691,84285906,84383147,84611282,84699362,84795585,84977282,85004543,85079307,85161887,85268313,85345116,85550498,85734150,86217026,86330927,86713548,86833192,86979167,86980264,87088425,87169647,87227172,87311762,87467403,87569106,87605807,87976967,88048331,88062267,88150730,88272693,88376960,88394865,88966943,89393387,89397431,89630952,89852903,90193403,90296428,90367991,90448624,90451127,91027586,91282826,91416141,91449760,91472868,91611851,91968767,92288930,92428583,92496207,92812264,92894320,92914427,92940935,93210075,93432357,93655750,93791330,93906990,94103106,94287856,94404996,94480631,94898123,94923308,95106191,95221823,95490105,95830322,96230056,97296587,97462587,97555703,97687341,97852797,97916330,98545566,98635000,98683585,98831627,99200523,99280367,99424080,99839255,99965190,99992882,...,3099415573338288509134553116596018361890437796146263391062513162748648200123996714388701719015982623537243474266395369278862409476777688543665220810299070520384120137814313931568308150769676186250469914054538949451715218374649507448628914338619114074694203214379684976565320715755381071768365569317690713078768528740114585715324286130316594432197655820206399584427037907223818961299798200862100075220995769922736899940786238127609041770422363039502846481330156307259561532685172546541127561141819951745217519724258473706271272513939374380646491234210556548909420763213533003765868954246137643079919703490491842683920524470718460448525509857845444360221361070911440622319040302137296098523070807900180211504748068077951436027357056946307608412508968565174826968422023243232351558472076208705422208266504003883250240943831339425859975070511954059907362682726402361277783825936592333849318470060100666638452063815969633932812085277667137764499806921104388327587064343812329033530899230101020671739602981669268001226424579050424174660584746359553891799951501151464411317255253970940299049098584878521574043366563921068095820022407461384683888665425329948590030269426825611878078877687021279809961948505701598973260926731786948667327444529995631698280147698637662143529313495481448738516080061048701853886902377216201584959642831159413307495088898134642091075070871023083140639630006388527659841894261746565894561654024294277713573893738653137674597891888498464507777151575324377491659778234750397781461100618303599359664912652625452615100170321896560611405234052804086746059461538482421431446328477881325964782133470855028814089114622691226929213054441385116088930199033136479950721047446090156169951869030045511387412795839301101411552310703435770496797757366085508817773296716292783668615177250970004545267725992097297557636661394608799675586801222611210359735777827553900674043016292327432455545566774461919379564270035390249922619205002141488378160176162605207305038544459517855644653781982063329581614720494281726333249310029813911976347275557843805945351324057917536072763953533263682912146337413511725987384948660715659308005554261145552156164376970881441353212886717419737741151639300525718453772947826874132280885972136308046850094371444277250617563747916819521399000812822320534320682131759438519275558049316304445944489003168181114070070026101967915689406177096774309399195138968940272180235236720355636553539384455636554737426239083984069065597008665720290192546551311136678736192842447153364131370259911138782627697184258858110524022855764961496549946227704239836109079354625363466251201328629447965794977809503215894282951674511498995371681342972845657732464000486880863775725668863805675094999685698550863051884254085951778853278096176524239572071273784925049650450480196793534350879514370947193469367774627523101680749116852645658686320687147208104958521460464738140826333978505557701548441320587076661002805167205805145837438056202934401460069111367161406174561448780761618549787059926252040612131108124792245173864551152860423795596713056250489572251543573497248034594747320668354477167114261416502974409198485155840627304580908}
19754 114537658879995402026966624096643525547832269881998486776122797296960828: {59253,513214,729529,868516,1319029,1436713,1694974,1814884,2072595,2088094,2210768,2467375,2487114,2794702,2960053,2960850,3076729,3158240,3232276,3553020,3789888,4123573,4175764,4263624,4355413,4796577,4889816,5279893,5395129,5501043,5510293,5622195,5841694,5970229,5997008,6085033,6429013,6543529,6746634,6999316,7042539,7084702,7115029,7229113,7549774,7782094,8139193,8246302,8383975,8462883,8576895,9148688,9383029,9607256,9789502,10057813,10060770,10251214,10292274,10394233,10481854,10506229,10549016,10731488,10808163,10938495,10942702,10953493,11019454,11667728,11733433,11867643,11934835,12072924,12092302,12566099,12841513,12856702,13081444,13126194,13543294,13547284,13887795,14012836,14321802,14456734,14684734,14813648,14943076,14965203,15407764,16201054,16665354,16730254,17094639,17107774,17422995,17861614,17951570,18167029,18463534,18584528,18700729,19364494,19440939,19868533,20038702,20162307,20396473,20786302,20817529,20907594,21265706,21541884,21760693,21805208,21830254,21883156,21904702,22221059,22282153,22290879,22490233,22801813,22803604,22905529,23143975,23464414,23673176,23938729,24041653,24130702,24349993,24350495,24452629,24530859,24641044,25645100,25680334,25838499,26048254,26490229,26591353,26632323,26652747,26709502,26931364,27772770,27845476,27899413,27950043,28099573,28101214,28247374,28539502,28845971,29220594,29341534,29393593,29492629,29624288,29646995,29937971,29986729,30379580,30502199,30577273,30774120,31360633,31435855,31495503,31736014,31744370,31945129,32042293,32241694,32817013,32825728,33305956,33322654,33327324,33491113,34269123,34432563,34620885,34664596,35397673,35568916,35576394,35775529,36455496,36653903,36928944,37168239,37554613,37609496,37723026,37823374,37824676,38093244,38248702,38318907,38531095,38664853,38673454,38885614,39309502,39417699,39575291,39662302,39947029,40296495,40310773,40718302,40796575,41012433,41208530,41215093,41305129,41501579,41545062,42018935,42131883,42201529,42226136,42310683,42352850,42768530,42982928,43147736,43399400,43574570,43655956,43799295,43884853,44416735,44847529,44975614,44994724,45282229,45349100,45440404,45529534,45598702,45715129,46146229,46220494,46232233,46237314,46565374,46719248,47003029,47189739,47343733,47376095,47504403,47666302,47747096,47880435,47937193,48009502,48190453,48355794,48541203,48626254,48824325,48955890,49450236,49804643,50422722,50468734,50740702,50823420,51072464,51097273,51127139,51256227,51322236,51351694,51416216,51619106,51649684,51911593,52079280,52164334,52219616,52289484,52559154,52704814,52718713,52799029,53109502,53197743,53300082,53715483,54130888,54185854,54211648,54311353,54390229,54418920,54722494,54733156,54850147,54861973,55253113,55486933,55525534,55551232,55694523,56012978,56122451,56526094,56536130,56605935,56851314,56897771,56902616,57124702,57456522,57523054,57789493,57843243,58013555,58046848,58317433,58384174,58589190,58692373,58714654,58747068,58780702,59287970,59288533,59362729,60027050,60164014,60379664,60897249,60988104,61097900,61147774,61194229,61221285,61266553,61555129,61670974,62029682,62200213,62495136,62627029,62654911,63262393,63285599,63332629,63465316,63825483,64015443,64100473,64308373,64790953,65302704,65369134,65626702,65689495,65813173,66015673,66319799,66494356,66590302,66752629,66910702,67150933,67486414,67809013,67813208,67843356,67869502,67927122,68005033,68070229,68252014,68459893,68611617,68649316,68656539,68782633,69295273,69359029,69616266,69932595,70202127,70307028,70369333,70991413,71101443,71102494,71145564,71149490,71225764,71654164,72032460,72093013,72233614,72496725,72669611,72814453,73038770,73111993,73172254,73197903,73317480,73348729,73364884,73426108,73465542,73609054,73643029,73741580,73993813,74594768,74744953,75038734,75130095,75472174,75652729,75781294,75979043,76107731,76289859,76347556,76583134,76816213,76834624,76842008,76860435,77034229,77197156,77329840,77574229,77627614,77627833,77788213,78205312,78423253,78427083,78469396,78545374,78589695,78827394,78892729,79099513,79142546,79337854,79568067,79662229,79702702,79965493,80018540,80138768,80174930,80421395,80465173,80551774,80765900,80859733,80893695,81103993,81210731,81277054,81282530,81346453,81587113,81733975,81819502,81921013,81984464,82482165,82501874,82620435,82855573,83039029,83080174,83084713,83127896,83447593,83618302,83761333,83829008,83919114,84159529,84201299,84595129,84644575,84697100,84769707,85023529,85046974,85065973,85277113,85379388,85652629,86286608,86305625,86438952,86447259,86466724,86625493,86665129,86862229,86878702,86996070,87212473,87325667,87404533,87524974,87646524,87700894,87969913,87980976,88128464,88489896,88625163,88986574,89124098,89226133,89260729,89602729,90156114,90265129,90426229,90458233,90585529,90617173,90892803,90898729,90900574,91021993,91049236,91083193,91237935,91473973,91795129,92052094,92232522,92329333,92384895,92396302,92625454,92732713,92795808,92889529,92948696,92968702,93254302,93300844,93365575,93515029,93518883,93752629,93775993,94073173,94228153,94307634,94596035,94610473,94619614,94631029,94742570,94921463,94950133,95027029,95102773,95121529,95184916,95368595,95498773,95567029,95875513,95982613,96022248,96027433,96186229,96209916,96309673,96369502,96420004,96505674,96526933,96544799,96575029,96586873,96645013,96787753,96859573,96899029,96919080,96937333,96956053,96992629,97036729,97072434,97079029,97150633,97195129,97243821,97320464,97324729,97347193,97357993,97421173,97485433,97500373,97508473,97539036,97545913,97547029,97555093,97992574,98080770,98543888,98978598,99144522,99551133,...,4649123360007432763701829674894027542835656694219395086593769744122972300185995071583052578523973935305865211399593053918293614215166532815497831215448605780576180206721470897352462226154514279375704871081808424177572827561974261172943371507928671112041304821569527464847981073633071607652548353976536069618152793110171878572986429195474891648296483730309599376640556860835728441949697301293150112831493654884105349911179357191413562655633544559254269721995234460889342299027758819811691341712729927617826279586387710559406908770909061570969736851315834823364131144820299505648803431369206464619879555235737764025880786706077690672788264786768166540332041606367160933478560453205944147784606211850270317257122102116927154041035585419461412618763452847762240452633034864848527337708114313058133312399756005824875361415747009138789962605767931089861044024089603541916675738904888500773977705090150999957678095723954450899218127916500706646749710381656582491380596515718493550296348845151531007609404472503902001839636868575636261990877119539330837699927251727196616975882880956410448573647877317782361065049845881602143730033611192077025832998137994922885045404140238417817118316530531919714942922758552398459891390097680423000991166794993447547420221547956493215293970243222173107774120091573052780830353565824302377439464246739119961242633347201963136612606306534624710959445009582791489762841392619848841842481036441416570360840607979706511896837832747696761665727362986566237489667352125596672191650927455399039497368978938178922650255482844840917107851079206130119089192307723632147169492716821988947173200206282543221133671934036840393819581662077674133395298549704719926081571169135234254927803545068267081119193758951652117328466055153655745196636049128263226659945074439175502922765876455006817901588988145946336454992091913199513380201833916815539603666741330851011064524438491148683318350161692879069346405053085374883928807503212232567240264243907810957557816689276783466980672973094994372422080741422589499873965044720867964520913336765708918026986086876304109145930299895524368219506120267588981077422991073488962008331391718328234246565456322162029819330076129606611727458950788577680659421740311198421328958204462070275141557166415875926345621875229282098501219233480801481023197639157778913337073974456668916733504752271671105105039152951873534109265645161464098792708453410408270352855080533454830309076683454832106139358625976103598395512998580435288819826966705018104289263670730046197055389866708173941545776388287165786034283647442244824919341556359754163619031938045199376801992944171948692466714254823841424427511767248493057522014459268486598696000730321295663588503295708512642499528547826294577826381128927668279917144264786359358106910677387574475675720295190301526319271556420790204051661941284652521123675278968488029481030720812157437782190697107211239500967758336552322661980880614991504207750808707718756157084304401602190103667050742109261842173171142427824680589889378060918196662187188367760796826729290635693395069584375734358377315360245872051892120981002531715750671392124754461613797727733760940956871362}
19755 114984450113491437110133715245902656640012855253663227913539300341304556: {39506,79004,769821,1085645,1302774,1934422,2268605,2542461,2722326,2763460,3132141,3316152,3688949,3730671,3947800,4040345,4192053,4278589,4441275,4737360,4848414,5053184,5219705,5247382,5329530,5684832,6112270,6263646,6395436,6667726,7117837,7334724,7496260,8005102,8406349,8749145,8762541,8995512,9230389,9390052,9716537,10119951,10183349,10209262,10426061,10498974,10627053,11011741,11283844,11324661,11435860,11673141,11790766,12009070,12369453,12737182,12961942,13186270,13414360,13723032,13728809,13848397,14410884,14584660,14684253,15091155,15376821,15438411,15607033,15722781,15823524,15885454,16097232,16261462,16351805,16414053,16529181,16565177,16934105,17501592,17516045,17950493,18109386,18138453,18517060,18635254,18678845,19079557,19095736,19259705,19285053,19622166,19689291,19953604,20314941,20320926,20714029,20999134,21019254,21482703,21685101,22021246,22027101,22220472,22414614,22580989,22792852,23111646,23230660,24301581,24781342,24998031,25095381,25661661,25921252,26234773,26411902,26792421,26883076,26927355,26943289,27128686,27256510,27353945,27693982,27695301,27876792,28090774,28504505,28722512,29046741,29591470,29721172,30058053,30190654,30801305,31179453,31361391,31898559,32056375,32106413,32312826,32707812,32745381,32824734,32857053,32908309,33664205,34205406,34451332,34806845,35160982,35196621,35422621,35509764,35536996,35962949,36196053,36947869,36961566,37030360,37243613,37266724,37610062,37754269,37974475,38467650,38520501,38940886,38960792,39072381,39637534,40064253,40383694,40397046,40879342,41032160,41080853,41632445,41659155,41768214,41778709,41994004,42151821,42248302,42371061,42723353,42809253,43330745,43431149,43830891,44012301,44436432,44461145,44688406,44989189,45569370,45692164,45910084,46161180,47011870,47280845,47316517,47364527,47435192,47604021,47616555,48362541,48607328,49084414,49238592,49557652,49789789,49958934,49983981,49990986,50029102,50297368,50557741,50790992,51091876,51755677,51996894,52556932,52782670,52832206,53353374,53364591,53573533,53728660,53934670,54249250,54539614,54569945,54683244,55393416,55562069,56175844,56243405,56414244,56584539,56686375,56735061,56737014,56800505,57139866,57373053,58010181,58328421,58399060,58964253,59336557,59493453,59518037,59683870,59945974,60160133,61077453,61096633,61649752,61812795,62317593,62919652,63339204,63529275,63840580,64152795,64270270,64474392,64562105,64721604,65099100,65270422,65274520,65361855,65442809,65483934,65933648,66480293,66788254,67110941,67230296,67236757,67463421,67492086,67663610,67741949,67764560,68023650,68160606,68294301,68341636,68398053,68416445,68429648,68596333,69330741,69355971,69439040,69719312,69825886,69848061,70078872,70121422,70930324,71066776,71128270,71499453,71620644,71664181,71736406,72014253,72533691,72558560,72736909,72939381,73350382,73433835,74175354,74259364,74357902,75295253,75474580,75500782,75634083,75703101,75801752,76111053,76235130,76372375,76608696,76983354,77027541,77112406,77124324,77153389,77428659,77474526,77825261,78118920,78246501,78329424,78434226,78838731,79056601,79057221,79083097,79331645,79664253,79937806,79950123,80499701,81196332,81278781,81317472,81330109,81628380,82083741,82099734,82967326,83117945,83288301,83326848,84019467,84592217,84671662,84766510,84789141,84804195,84874957,85100644,85155406,85276971,85353924,85559254,85687053,85811645,85843613,86184783,86225902,86284581,86848261,87070272,87576261,87883785,88071981,88120602,88171053,88315549,88931955,89031737,89032205,89567705,90040575,90246021,90457808,90569496,90662902,91482156,91542052,91646850,91706105,91721661,91782635,91879261,92044654,92176975,92506461,92615422,92821688,92946089,93044523,93243460,93602836,93742704,94053773,94724237,94801924,94860752,95197974,95434445,96043280,96052510,96496445,96662300,97439062,97583734,97597204,97756640,97954056,98053701,98086745,98097401,98333557,98440053,99569302,99741534,99885453,...,6973685040011149145552744512341041314253485041329092629890654616184458450278992607374578867785960902958797817099389580877440421322749799223246746823172908670864270310082206346028693339231771419063557306622712636266359241342961391759415057261893006668061957232354291197271971610449607411478822530964804104427229189665257817859479643793212337472444725595464399064960835291253592662924545951939725169247240482326158024866769035787120343983450316838881404582992851691334013448541638229717537012569094891426739419379581565839110363156363592356454605276973752235046196717230449258473205147053809696929819332853606646038821180059116536009182397180152249810498062409550741400217840679808916221676909317775405475885683153175390731061553378129192118928145179271643360678949552297272791006562171469587199968599634008737313042123620513708184943908651896634791566036134405312875013608357332751160966557635226499936517143585931676348827191874751059970124565572484873737070894773577740325444523267727296511414106708755853002759455302863454392986315679308996256549890877590794925463824321434615672860471815976673541597574768822403215595050416788115538749497206992384327568106210357626725677474795797879572414384137828597689837085146520634501486750192490171321130332321934739822940955364833259661661180137359579171245530348736453566159196370108679941863950020802944704918909459801937066439167514374187234644262088929773262763721554662124855541260911969559767845256749121545142498591044479849356234501028188395008287476391183098559246053468407268383975383224267261375661776618809195178633788461585448220754239075232983420759800309423814831700507901055260590729372493116511200092947824557079889122356753702851382391705317602400621678790638427478175992699082730483617794954073692394839989917611658763254384148814682510226852383482218919504682488137869799270070302750875223309405500111996276516596786657736723024977525242539318604019607579628062325893211254818348850860396365861716436336725033915175200471009459642491558633121112133884249810947567081301946781370005148563377040479130314456163718895449843286552329259180401383471616134486610233443012497087577492351369848184483243044728995114194409917591188426182866520989132610466797631993437306693105412712335749623813889518432812843923147751828850221202221534796458736668370005610961685003375100257128407506657657558729427810301163898467742196148189062680115612405529282620800182245463615025182248159209037938964155397593269497870652933229740450057527156433895506095069295583084800062260912318664582430748679051425471163367237379012334539631245428547907067799065202989416257923038700071382235762136641267650872739586283021688902729898044001095481943495382754943562768963749292821739441866739571693391502419875716397179539037160366016081361713513580442785452289478907334631185306077492911926978781685512918452732044221546081218236156673286045660816859251451637504828483992971320922487256311626213061578134235626456602403285155500576113163892763259756713641737020884834067091377294993280782551641195240093935953540092604376563601537565973040368808077838181471503797573626007088187131692420696591600641411435307043}
19756 115432971875320746459034791444169708234485998781486390246551852628223671: {59259,98755,118506,335563,572083,926323,1026428,1162123,1459058,1737032,1954161,2638058,2873426,2901633,3387859,3389948,3454325,3504283,3629768,3853123,4083489,4145190,4176188,4421536,4934750,4974228,5589404,5702659,5920106,5921700,6153458,6316480,6464552,6849259,7106040,7272621,7419859,7579776,7871073,7994295,8247146,8351528,8527248,8710826,9007963,9168405,9370325,9395469,9593154,9779632,10001589,10559786,10790258,11002086,11020586,11244390,11363659,11475043,11683388,11737565,11808763,11940458,11994016,12007653,12170066,12858026,12916483,13026859,13087058,13493268,13687603,13998632,14085078,14104805,14126659,14169404,14230058,14294825,14458226,15099548,15110323,15313893,15328123,15564188,15748461,15871363,16196443,16278386,16492604,16708769,16736803,16767950,16925766,17153790,17686149,17919259,18013605,18230825,18297376,18453859,18766058,18986659,19105773,19214512,19442913,19579004,19779405,20115626,20121540,20502428,20584548,20788466,20963708,21012458,21098032,21462976,21616326,21623659,21876990,21885404,21906986,22038908,22561963,23146325,23335456,23466866,23735286,23828181,23869670,24145848,24184604,24392193,24942005,25132198,25683026,25713404,26155483,26162888,26252388,27086588,27094568,27164079,27166003,27367243,27768859,27775590,27952881,28025672,28491065,28643604,28913468,29038325,29165443,29264659,29369468,29433249,29627296,29660803,29886152,29930406,30154363,30481389,30646123,30815528,30842323,31498701,31528881,32401565,32402108,33031869,33077923,33330708,33460508,33603845,33621921,34090693,34189278,34215548,34667469,34705843,34845990,35085859,35723228,35903140,35936683,36334058,36875203,36927068,37062043,37151465,37169056,37172013,37401458,37527883,38728988,38881878,39190003,39617853,39647563,39737066,39738859,40077404,40324614,40557869,40693029,40738363,40792946,40884765,41505793,41540973,41572604,41635058,41815188,41997859,42136161,42531412,43064165,43083768,43318249,43521386,43610416,43660508,43766312,43809404,43860643,44010197,44387205,44421245,44442118,44564306,44581758,44980466,45084859,45285981,45432043,45518659,45603626,45607208,45811058,46287950,46466683,46583405,46928828,47150683,47346352,47745403,47877458,48083306,48261404,48469239,48699986,48700990,48905258,49061718,49237101,49258483,49282088,49840603,51290200,51308109,51360668,51402859,51676998,52096508,52133803,52492505,52741473,52980458,53019259,53099323,53182706,53264646,53305494,53419004,53862728,53943533,54606859,54685483,55442349,55545540,55690952,55701043,55798826,55900086,56199146,56202428,56415093,56494748,57079004,57115205,57239683,57315859,57387605,57391963,57691942,57701475,58374763,58411329,58441188,58683068,58787186,58826509,58898923,58985258,59248576,59293990,59456301,59875942,59973458,60575541,60595569,60596323,60759160,61004398,61032859,61154546,61319013,61548240,61947065,62183429,62398123,62652321,62721266,62871710,62894563,62991006,63106243,63247003,63372453,63472028,63488740,63864845,63876859,63890258,64084586,64483388,64500883,64822901,65634026,65651456,65663683,65696165,66001723,66270859,66326533,66337963,66611912,66645308,66654648,66982226,67032609,67160825,67269859,67533523,68187643,68354055,68538246,68576659,68865126,68898859,69241770,69329192,69537859,70026077,70219805,70232443,70482859,70517805,70545283,70794259,70795346,71137832,71152788,71551058,71656603,71778643,71961163,72564883,72684763,72910992,72998825,73220659,73307806,73515859,73626621,73809259,73857888,73867723,74046713,74158963,74336478,74621203,74736043,74938401,74986479,75043653,75109226,75218992,75446052,75646748,75649352,76036003,76186488,76497404,76637814,76699123,76917859,77062190,77329706,77346908,77405803,77771228,77995341,78469243,78619004,78649565,78835398,79150582,79174005,79248309,79324604,79800725,79859203,79894058,80030061,80592990,80621546,80902005,81218977,81293659,81342043,81373875,81436604,81582883,81593150,81726523,81809421,81964483,82024866,82417060,82430186,82610258,82898323,83003158,83090124,83624659,84037870,84069259,84263766,84403058,84452272,84463243,84550003,84621366,84679603,84705700,84765643,85105521,85191523,85401763,85427045,85537060,85709799,85965856,86295472,86625403,86798800,87149140,87174259,87311912,87595603,87598590,87769706,88119259,88183469,88302859,88448443,88484659,88662905,88833470,88984123,89366659,89525805,89537659,89695058,89874259,89907523,89918961,89951228,89989448,90333403,90557683,90564458,90684259,90698200,90840859,90880808,91059068,91197404,91430258,91596859,91858003,91965293,92000563,92057083,92197123,92292458,92417443,92440988,92464466,92474628,92579659,92606443,92824205,93130748,93327163,93351859,93376483,93438496,93474259,93853843,94006058,94192963,94343225,94379478,94494859,94687466,94752190,94882003,94998859,95008806,95279659,95332604,95351803,95494192,95711659,95760870,95792659,95874386,95933923,96019004,96098659,96113203,96184843,96309259,96375859,96380906,96405405,96427843,96453403,96552763,96711588,97082406,97151083,97189243,97232659,97252508,97266859,97358659,97364203,97405963,97429723,97455859,97490203,97509859,97534483,97539163,97549603,97558243,97572859,97648650,97905633,97911780,98225901,98900472,99609286,...,9298246720014865527403659349788055085671313388438790173187539488245944600371990143166105157047947870611730422799186107836587228430333065630995662430897211561152360413442941794704924452309028558751409742163616848355145655123948522345886743015857342224082609643139054929695962147266143215305096707953072139236305586220343757145972858390949783296592967460619198753281113721671456883899394602586300225662987309768210699822358714382827125311267089118508539443990468921778684598055517639623382683425459855235652559172775421118813817541818123141939473702631669646728262289640599011297606862738412929239759110471475528051761573412155381345576529573536333080664083212734321866957120906411888295569212423700540634514244204233854308082071170838922825237526905695524480905266069729697054675416228626116266624799512011649750722831494018277579925211535862179722088048179207083833351477809777001547955410180301999915356191447908901798436255833001413293499420763313164982761193031436987100592697690303062015218808945007804003679273737151272523981754239078661675399854503454393233951765761912820897147295754635564722130099691763204287460067222384154051665996275989845770090808280476835634236633061063839429885845517104796919782780195360846001982333589986895094840443095912986430587940486444346215548240183146105561660707131648604754878928493478239922485266694403926273225212613069249421918890019165582979525682785239697683684962072882833140721681215959413023793675665495393523331454725973132474979334704251193344383301854910798078994737957876357845300510965689681834215702158412260238178384615447264294338985433643977894346400412565086442267343868073680787639163324155348266790597099409439852163142338270468509855607090136534162238387517903304234656932110307311490393272098256526453319890148878351005845531752910013635803177976291892672909984183826399026760403667833631079207333482661702022129048876982297366636700323385758138692810106170749767857615006424465134480528487815621915115633378553566933961345946189988744844161482845178999747930089441735929041826673531417836053972173752608218291860599791048736439012240535177962154845982146977924016662783436656468493130912644324059638660152259213223454917901577155361318843480622396842657916408924140550283114332831751852691243750458564197002438466961602962046395278315557826674147948913337833467009504543342210210078305903747068218531290322928197585416906820816540705710161066909660618153366909664212278717251952207196791025997160870577639653933410036208578527341460092394110779733416347883091552776574331572068567294884489649838683112719508327238063876090398753603985888343897384933428509647682848855023534496986115044028918536973197392001460642591327177006591417025284999057095652589155652762257855336559834288529572718716213821354775148951351440590380603052638543112841580408103323882569305042247350557936976058962061441624314875564381394214422479001935516673104645323961761229983008415501617415437512314168608803204380207334101484218523684346342284855649361179778756121836393324374376735521593653458581271386790139168751468716754630720491744103784241962005063431501342784249508923227595455467521881913742724}
19757 115883230820781070098659425002256113890848866733649760180865227277648321: {79012,158008,177759,1283035,1519903,1539642,2171290,2188587,2605548,3176047,3868844,3957087,4122943,4237435,4310139,4359667,4537210,5084922,5220235,5444652,5526920,5656483,6217785,6264282,6289723,6632304,6986755,7307587,7377898,7402125,7461342,7709347,7895600,8021563,8080690,8384106,8557178,8880159,8882550,9230187,9474720,9696828,10106368,10184383,10386643,10439410,10494764,10659060,10859659,11369664,12034867,12224540,12248803,12370719,12527292,12776863,12790872,13066239,13335452,13730203,14235674,14389731,14398507,14604235,14669448,14992520,15343963,15839679,16010204,16185387,16503129,16530879,16566859,16762147,16812698,16866585,17498290,17525082,17707603,17711755,17737987,17910687,17991024,18255099,18460778,18780104,18874435,19287039,19433074,19455235,19630587,19740043,20239902,20366698,20418524,20615755,20852122,20997948,21127617,21214219,21254106,21281647,21345087,21687339,22023482,22567688,22649322,22871720,22892527,23346282,23407843,23581532,23707747,23991139,24018140,24417579,24473755,24522463,24738906,25151925,25388649,25474364,25628035,25730685,25923884,26150383,26204635,26372540,26404723,26825203,26828720,26963587,27356755,27446064,27457618,27548635,27696794,28149087,28821768,29169320,29368506,29550763,30173439,30182310,30230755,30753642,30876822,31182699,31214066,31445562,31518687,31647048,31770908,32119483,32141755,32194464,32424489,32522924,32703610,32815485,32828106,32860479,33010819,33058362,33130354,33858235,33868210,35003184,35032090,35112319,35200299,35602929,35804505,35900986,36141835,36218772,36276906,36711835,37034120,37270508,37357690,37698297,38159114,38191472,38201323,38295523,38519410,38524539,38570106,39244332,39378582,39906307,39907208,40502635,40629882,40641852,41428058,41511019,41663385,41825635,41998268,42038508,42501667,42769435,42919963,42965406,43121827,43370202,43669243,44015179,44042492,44054202,44440944,44654035,44807419,44829228,44878925,44895609,45161978,45585704,45655387,46158835,46223292,46461320,47129887,48411235,48550099,48603162,48729583,49562684,49996062,50096755,50190762,51283903,51283917,51323322,51842504,51965755,52267027,52268985,52469546,52823804,53164265,53584842,53766152,53854710,53886578,54247867,54257372,54501087,54513020,54575635,54707890,54761755,55095403,55387964,55390602,55753584,56102187,56181548,56364319,57009010,57445024,57632443,58093482,58285423,58322817,58661035,59063839,59182940,59322043,59442344,59605599,60116106,60183043,60326755,60381308,60486921,60588319,60663043,61189419,61602610,61750147,62098783,62245603,62358906,62452587,62722782,63797118,64112750,64200835,64212826,64625652,65120635,65282079,65415624,65449507,65490762,65649468,65714106,65816618,66107203,66193183,66520159,66663177,66773755,66846459,66872637,66907819,67328410,67470699,67748923,68011759,68405439,68410812,68716587,68902664,69431925,69613690,70253035,70321964,70393242,70618435,70692547,70845242,71019528,71073992,71098339,71348755,71816187,71925898,72124959,72392106,73049979,73051485,73141963,73353835,73357887,73371679,73592577,73895738,73923132,74060720,74449003,74487226,74533448,75220124,75508538,75948950,76397923,76559263,76935300,77041002,77267227,77515497,77881772,77921584,78144762,78233023,78567619,78740767,79232563,79275068,79340035,79360925,79470687,79487419,79520707,79774059,79896969,79958241,80058667,80128506,80604235,80767388,80794092,81399139,81758684,82064320,82161706,83159563,83264890,83306635,83318310,83536428,83557418,83698239,83850129,83988008,84298719,84303642,84496604,84742122,85121227,85446706,85618506,85727683,85852399,86024683,86537913,86661490,86742499,86862298,87081667,87661782,88024602,88180779,88477887,88872864,88922290,88940985,88985299,89040883,89106763,89376812,89693683,89813913,89960187,89978378,90386947,90426163,90820699,91138740,91384328,91506597,91651267,91731819,91820168,92322360,93083923,93607627,94023740,94081899,94307565,94486509,94558435,94561690,94633034,94729054,94870384,95208042,95233110,95621755,95783023,95835387,96126879,96683635,96725082,96865507,96965803,97214035,97214656,98168828,98273755,98451039,98477184,98583487,99115304,99155755,99266227,99506059,99579578,99917868,99967962,99981972,...,13947370080022298291105489024682082628506970082658185259781309232368916900557985214749157735571921805917595634198779161754880842645499598446493493646345817341728540620164412692057386678463542838127114613245425272532718482685922783518830114523786013336123914464708582394543943220899214822957645061929608208854458379330515635718959287586424674944889451190928798129921670582507185325849091903879450338494480964652316049733538071574240687966900633677762809165985703382668026897083276459435074025138189782853478838759163131678220726312727184712909210553947504470092393434460898516946410294107619393859638665707213292077642360118233072018364794360304499620996124819101482800435681359617832443353818635550810951771366306350781462123106756258384237856290358543286721357899104594545582013124342939174399937199268017474626084247241027416369887817303793269583132072268810625750027216714665502321933115270452999873034287171863352697654383749502119940249131144969747474141789547155480650889046535454593022828213417511706005518910605726908785972631358617992513099781755181589850927648642869231345720943631953347083195149537644806431190100833576231077498994413984768655136212420715253451354949591595759144828768275657195379674170293041269002973500384980342642260664643869479645881910729666519323322360274719158342491060697472907132318392740217359883727900041605889409837818919603874132878335028748374469288524177859546525527443109324249711082521823939119535690513498243090284997182088959698712469002056376790016574952782366197118492106936814536767950766448534522751323553237618390357267576923170896441508478150465966841519600618847629663401015802110521181458744986233022400185895649114159778244713507405702764783410635204801243357581276854956351985398165460967235589908147384789679979835223317526508768297629365020453704766964437839009364976275739598540140605501750446618811000223992553033193573315473446049955050485078637208039215159256124651786422509636697701720792731723432872673450067830350400942018919284983117266242224267768499621895134162603893562740010297126754080958260628912327437790899686573104658518360802766943232268973220466886024994175154984702739696368966486089457990228388819835182376852365733041978265220933595263986874613386210825424671499247627779036865625687846295503657700442404443069592917473336740011221923370006750200514256815013315315117458855620602327796935484392296378125360231224811058565241600364490927230050364496318418075877928310795186538995741305866459480900115054312867791012190138591166169600124521824637329164861497358102850942326734474758024669079262490857095814135598130405978832515846077400142764471524273282535301745479172566043377805459796088002190963886990765509887125537927498585643478883733479143386783004839751432794359078074320732032162723427027160885570904578957814669262370612154985823853957563371025836905464088443092162436472313346572091321633718502903275009656967985942641844974512623252426123156268471252913204806570311001152226327785526519513427283474041769668134182754589986561565103282390480187871907080185208753127203075131946080737616155676362943007595147252014176374263384841393183201282822870614086}
19758 116335233630583858132514043229831206216474595295549502638096167676435332: {98765,118518,138257,197510,237012,375041,611537,671126,808397,1144166,1162241,1201517,1397777,1852646,1907117,2052856,2309463,2324246,2918116,2921741,3256935,3474064,3543437,3892241,3908322,4433537,4836055,4896257,5011757,5242541,5276116,5473037,5746852,5803266,6048017,6162797,6430337,6544877,6775718,6779896,6805815,6908650,7008566,7116497,7259536,7344641,7627383,7706246,8166978,8290380,8352376,8481041,8669741,8820557,8843072,9396423,9460097,9610241,9797741,9869500,9948456,10022477,10508417,11066847,11067437,11178808,11192013,11405318,11513357,11809997,11840212,11843400,11847041,12121035,12306916,12576159,12632960,12835767,12917837,12929104,13118455,13323825,13698518,13835537,14212080,14383757,14545242,14839718,15159552,15280675,15366017,15659115,15742146,15873041,15988590,16234241,16432591,16494292,16669315,16703056,17054496,17313041,17421652,18015926,18242177,18336810,18740650,18790938,18917741,19186308,19449041,19559264,19746727,20003178,20012755,20295377,20471117,21119572,21353511,21580516,21765377,22004172,22041172,22488780,22564397,22727318,22910477,22950086,23366776,23475130,23600237,23617526,23880916,23943917,23988032,24012557,24015306,24115457,24321041,24340132,25038317,25219047,25523155,25716052,25832966,26053718,26174116,26192141,26247435,26287623,26496017,26563457,26900177,26986536,27202541,27375206,27691167,27997264,28170156,28209610,28253318,28338808,28372241,28460116,28505297,28589650,28916452,29149611,29201741,29476915,29499137,29664077,30022675,30190541,30199096,30220646,30359853,30550047,30627786,30649517,30656246,30682241,30845741,31128376,31278183,31496922,31742726,31842955,31881159,31952237,32114177,32340557,32392886,32404855,32556772,32965675,32985208,33035223,33081617,33402497,33417538,33473606,33535900,33562637,33851532,33973983,34041857,34307580,34423937,34741457,34918807,35019423,35372298,35468717,35689217,35838518,35972141,36027210,36461650,36594752,36907718,36910541,37066241,37108359,37532116,37563137,37973318,38027117,38211546,38304641,38429024,38735057,38885826,39158008,39225041,39558810,39652097,39682541,39713635,39865037,39887491,39956177,40231252,40243080,40289741,40653655,40743041,40773197,41004856,41014157,41169096,41186427,41224577,41374637,41545191,41576932,41644241,41913197,41927416,42024916,42196064,42211277,42270797,42538241,42656897,42925952,43232652,43247318,43753980,43770808,43813972,43865741,43895057,44052759,44077816,44479697,44916077,45123926,45273465,45329383,45362191,45466241,46130463,46214417,46292650,46315233,46472141,46500737,46588135,46670912,46821099,46933732,47045383,47156237,47168343,47470572,47656362,47739340,47932027,48004877,48286157,48291696,48369208,48594641,48706577,48784386,49055415,49242159,49264337,49587543,49695531,49874177,49884010,50260241,50264396,50425217,50802315,51191297,51366052,51426808,51761741,52012051,52310966,52325776,52497835,52504776,52548135,52865297,53372141,53851479,53928977,54173176,54189136,54328158,54332006,54403457,54415359,54718337,54734486,54927617,55053115,55474541,55537718,55551180,55905762,56036535,56051344,56352557,56788097,56982130,57238671,57246737,57272141,57287208,57424397,57779115,57803777,57826936,57855159,58076650,58330886,58381997,58529318,58557137,58738936,58866498,59055377,59067873,59254592,59303297,59321606,59377517,59426957,59772304,59860812,60238097,60289831,60308726,60895277,60944823,60962778,61257857,61292246,61570637,61618637,61631056,61684646,61953355,62142087,62189743,62642897,62997402,63057762,63255041,63278477,63348737,63954641,64093697,64324817,64448109,64532141,64647041,64803130,64804216,64853357,65055303,65081837,65216767,65536397,65694737,66029755,66032717,66063738,66081303,66155846,66435917,66661416,66921016,67102157,67207690,67243842,67542317,67673741,67742967,67821715,68131457,68141275,68181386,68378556,68431096,68456237,68843597,69234955,69334938,69411686,69691980,69695117,69948077,70116077,70171718,70226935,70262657,70325357,71446456,71686541,71806280,71808557,71873366,72414317,72514577,72668116,72694541,72904743,73111937,73171277,73489507,73662977,73750406,73780241,73854136,73897217,73978675,73994477,74124086,74302930,74338112,74344026,74362241,74765357,74802916,74937041,74994093,75055766,75286143,75391697,75476635,75673517,75785741,76434641,76599917,76608883,76709741,76984983,77055617,77091857,77457976,77685197,77763756,77809937,77863277,78217037,78264439,78380006,78480257,78704319,79121837,79235706,79295126,79474132,79477718,79718657,79961287,80138957,80154808,80342647,80377263,80537741,80649228,80782065,80829867,80882897,81115738,81175937,81369857,81386058,81418157,81476726,81585892,81594641,81610637,81769530,81976337,82061835,82602257,82758091,82772141,82833677,82910417,83011586,83063297,83081946,83085903,83145208,83154641,83230541,83270116,83547137,83630376,83995718,84213677,84272322,84576977,84792557,84906797,85048877,85062824,85204241,85218317,85513515,85636877,85678337,85829741,86116097,86128330,86167536,86372141,86636498,86651777,86717837,86725891,86836241,86888657,87042772,87084077,87140223,87220832,87226241,87321016,87532624,87545741,87618808,87721286,87902455,87984641,88020394,88058897,88192423,88365197,88534541,88774410,88821197,88842490,88884236,89009741,89068241,89114897,89128612,89163516,89173037,89311757,89410783,89415041,89698541,89960932,89988077,90169718,90174159,90476417,90519041,90571962,90667217,90864086,90979457,91037318,91051277,91193741,91207252,91214416,91503617,91622116,91728557,91825037,91844237,91882541,91968257,91974631,92015597,92156417,92221517,92403915,92575900,92577041,92621741,92789777,92920397,92933366,93166810,93226541,93342797,93538359,93753041,93784337,93823277,93857656,93877457,94025155,94084173,94209041,94282241,94301366,94318541,94361837,94433357,94643117,94677377,94692704,94704641,94805741,94878737,95002541,95060177,95072897,95136017,95374541,95490806,95492141,95544017,95695677,95695757,95754916,95909837,95951117,95956241,95981741,96027137,96061997,96166612,96169125,96178541,96202241,96276737,96319239,96384641,96471041,96475277,96522808,96533741,96570497,96766541,96872141,96905741,96935297,96938478,96973697,97029137,97064657,97073357,97079117,97132241,97169537,97207757,97237037,97352215,97384877,97399277,97399972,97401980,97444097,97459217,97484417,97527041,97554641,97558541,97561517,97569041,97569677,97577741,97586897,97590797,97592141,97593857,97594157,97594577,97810516,98123436,98236143,98307727,98474202,98516966,98564176,98571159,98724927,99093835,99681206,...,20921055120033447436658233537023123942760455123987277889671963848553375350836977822123736603357882708876393451298168742632321263968249397669740240469518726012592810930246619038086080017695314257190671919868137908799077724028884175278245171785679020004185871697062873591815914831348822234436467592894412313281687568995773453578438931379637012417334176786393197194882505873760777988773637855819175507741721446978474074600307107361361031950350950516644213748978555074002040345624914689152611037707284674280218258138744697517331089469090777069363815830921256705138590151691347775419615441161429090789457998560819938116463540177349608027547191540456749431494187228652224200653522039426748665030727953326216427657049459526172193184660134387576356784435537814930082036848656891818373019686514408761599905798902026211939126370861541124554831725955689904374698108403215938625040825071998253482899672905679499809551430757795029046481575624253179910373696717454621211212684320733220976333569803181889534242320126267559008278365908590363178958947037926988769649672632772384776391472964303847018581415447930020624792724306467209646785151250364346616248491620977152982704318631072880177032424387393638717243152413485793069511255439561903504460250577470513963390996965804219468822866094499778984983540412078737513736591046209360698477589110326039825591850062408834114756728379405811199317502543122561703932786266789319788291164663986374566623782735908679303535770247364635427495773133439548068703503084565185024862429173549295677738160405221805151926149672801784126985329856427585535901365384756344662262717225698950262279400928271444495101523703165781772188117479349533600278843473671239667367070261108554147175115952807201865036371915282434527978097248191450853384862221077184519969752834976289763152446444047530680557150446656758514047464413609397810210908252625669928216500335988829549790359973210169074932575727617955812058822738884186977679633764455046552581189097585149309010175101745525601413028378927474675899363336401652749432842701243905840344110015445690131121437390943368491156686349529859656987777541204150414848403459830700329037491262732477054109544553449729134186985342583229752773565278548599562967397831400392895980311920079316238137007248871441668555298438531769443255486550663606664604389376210005110016832885055010125300771385222519972972676188283430903491695403226588444567188040346837216587847862400546736390845075546744477627113816892466192779808493611958799689221350172581469301686518285207886749254400186782736955993747292246037154276413490101712137037003618893736285643721203397195608968248773769116100214146707286409923802952618218758849065066708189694132003286445830486148264830688306891247878465218325600218715080174507259627149191538617111481098048244085140540741328356356868436722003893555918232478735780936345056538755358196132664638243654708470019858136982450577754354912514485451978913962767461768934878639184734402706879369807209855466501728339491678289779270140925211062654502201274131884979842347654923585720281807860620277813129690804612697919121106424233514544414511392720878021264561395077262089774801924234305921129}
19759 116788987010950626504757502181106186453837507583908469062175791778634147: {19759,158024,177777,296265,316016,355518,1006689,1716249,1796249,2566070,2778969,3039806,3079284,3486369,3647645,4342580,4377174,4872569,5211096,5862483,5932409,6352094,6595145,6723497,7183565,7308329,7433309,7737688,7914174,8245886,8474870,8616329,8620278,8704899,8719334,9074420,9480029,9781457,10163577,10169844,10362975,10440470,10512849,10889304,11053840,11312966,11559369,11608601,12036089,12250467,12336875,12435570,12528564,12579446,13209977,13264608,13973510,14399969,14504897,14615174,14755796,14800265,14804250,14922684,15099929,15345521,15383645,15418694,15791200,16043126,16092449,16161380,16763849,16768212,17107977,17114356,17709401,17760318,17765100,18460374,18928817,18949440,19393656,19824809,20212736,20368766,20409197,20445929,20547777,20617865,20773286,20878820,20989528,21318120,21719318,21777065,21817863,22062401,22259577,22739328,23613219,23982885,24069734,24449080,24497606,24549689,24741438,24796457,25022177,25054584,25553726,25581744,26132478,26399465,26424209,26670904,26975645,27023889,27237329,27460406,27505215,27551465,28110975,28186407,28471348,28675217,28779462,28797014,28862057,29208470,29338896,29511161,29851145,29856077,29982161,29985040,30004767,30425165,30687926,31679358,32020408,32145065,32370774,32550617,32717645,33006258,33061758,33133718,33524294,33625396,33733170,34090977,34263257,34425129,34923629,34996580,35050164,35212695,35415206,35423510,35426289,35475974,35575145,35821374,35879249,35982048,36022959,36145565,36510198,36686489,36921556,37560208,37748870,37959389,38299457,38568089,38574078,38749449,38866148,38910470,39080577,39261174,39480086,40479804,40695965,40733396,40835897,40837048,41062809,41231510,41496377,41704244,41919875,41995896,42255234,42314415,42323057,42379977,42428438,42508212,42563294,42690174,42884475,43374678,44046964,44374877,44998457,45135376,45298644,45330969,45743440,45785054,45941679,45984369,46321889,46692564,46815686,46915145,47163064,47245383,47401529,47415494,47614089,47982278,48036280,48589329,48806801,48835158,48947510,49044926,49058477,49477812,50126307,50210409,50289065,50303850,50598569,50777298,50948728,51026609,51256070,51396569,51461370,51713057,51847768,51971165,52300766,52409270,52531145,52745080,52809446,53058447,53650406,53657440,53757777,53927174,54040815,54692475,54713510,54767465,54892128,54915236,55097270,55361577,55393588,56298174,56703689,56959977,57277889,57317319,57643536,58060937,58328739,58338640,58416089,58555889,58667165,58737012,59101526,59328137,59338215,59674175,59877209,60346878,60364620,60461510,60608249,60629969,61507284,61753644,62365398,62428132,62515649,62651609,62830495,62891124,63037374,63294096,63541816,64207565,64238966,64283510,64388928,64622369,64848978,64870977,65045848,65112749,65407220,65630970,65652257,65656212,65720958,66021638,66113969,66116724,66260708,66612377,67263401,67685889,67716470,67736420,67775729,68111069,69438975,70006368,70057697,70064180,70107869,70135457,70224638,70400598,70697297,71205858,71484543,71604377,71609010,71801972,72197849,72283670,72437544,72553812,72752057,73149449,73176579,73423670,73884521,74068240,74429971,74541016,74715380,74826015,75396594,76318228,76382944,76402646,76405889,76591046,76666457,77038820,77049078,77140212,78241097,78466449,78488664,78757164,79072877,79583417,79812614,79814416,79895597,80066909,81005270,81259764,81283704,81492237,81498009,81985229,82101729,82125449,82856116,83022038,83306577,83326770,83651270,83858643,83996536,84077016,84457457,85003334,85473195,85538870,85839926,85930812,86243654,86357489,86740404,86751377,87114975,87338486,87496329,87632621,87793977,88030358,88084984,88108404,88299747,88554041,88881888,88982409,89308070,89614838,89658456,89702897,89757850,89791218,89881169,90221009,90323956,90463089,90479129,90835145,91168889,91171408,91310774,91444167,91639937,91938369,92317670,92446584,92457209,92526969,92922640,92943041,93243161,93483257,93503645,93939677,94259774,94496103,94586643,94927169,95135489,95250977,95252057,96822470,97100198,97204695,97206324,97326569,97459166,98354249,98865809,99095607,99125368,99233769,99342665,99516281,99888257,99992124,...,27894740160044596582210978049364165257013940165316370519562618464737833801115970429498315471143843611835191268397558323509761685290999196892986987292691634683457081240328825384114773356927085676254229226490850545065436965371845567037660229047572026672247828929417164789087886441798429645915290123859216417708916758661031271437918575172849349889778902381857596259843341165014370651698183807758900676988961929304632099467076143148481375933801267355525618331971406765336053794166552918870148050276379565706957677518326263356441452625454369425818421107895008940184786868921797033892820588215238787719277331414426584155284720236466144036729588720608999241992249638202965600871362719235664886707637271101621903542732612701562924246213512516768475712580717086573442715798209189091164026248685878348799874398536034949252168494482054832739775634607586539166264144537621251500054433429331004643866230540905999746068574343726705395308767499004239880498262289939494948283579094310961301778093070909186045656426835023412011037821211453817571945262717235985026199563510363179701855297285738462691441887263906694166390299075289612862380201667152462154997988827969537310272424841430506902709899183191518289657536551314390759348340586082538005947000769960685284521329287738959291763821459333038646644720549438316684982121394945814264636785480434719767455800083211778819675637839207748265756670057496748938577048355719093051054886218648499422165043647878239071381026996486180569994364177919397424938004112753580033149905564732394236984213873629073535901532897069045502647106475236780714535153846341792883016956300931933683039201237695259326802031604221042362917489972466044800371791298228319556489427014811405529566821270409602486715162553709912703970796330921934471179816294769579359959670446635053017536595258730040907409533928875678018729952551479197080281211003500893237622000447985106066387146630946892099910100970157274416078430318512249303572845019273395403441585463446865745346900135660700801884037838569966234532484448535536999243790268325207787125480020594253508161916521257824654875581799373146209317036721605533886464537946440933772049988350309969405479392737932972178915980456777639670364753704731466083956530441867190527973749226772421650849342998495255558073731251375692591007315400884808886139185834946673480022443846740013500401028513630026630630234917711241204655593870968784592756250720462449622117130483200728981854460100728992636836151755856621590373077991482611732918961800230108625735582024380277182332339200249043649274658329722994716205701884653468949516049338158524981714191628271196260811957665031692154800285528943048546565070603490958345132086755610919592176004381927773981531019774251075854997171286957767466958286773566009679502865588718156148641464064325446854054321771141809157915629338524741224309971647707915126742051673810928176886184324872944626693144182643267437005806550019313935971885283689949025246504852246312536942505826409613140622002304452655571053039026854566948083539336268365509179973123130206564780960375743814160370417506254406150263892161475232311352725886015190294504028352748526769682786366402565645741228172}
19760 117244497693709675500884374326842302143517232589687757318496032905092964: {138271,197530,237036,276514,395020,474024,533277,750082,847831,1201639,1223074,1342252,1437151,1554799,1616794,2288332,2324482,2403034,2795554,2960959,3077671,3194311,3705292,3814234,3849105,4105712,4472599,4559709,4618926,4648492,5281519,5396791,5428225,5511991,5836232,5843482,6086911,6430999,6513870,6545551,6565761,6770477,6948128,7086874,7231351,7345399,7784482,7816644,8867074,9385951,9528141,9672110,9792514,10023514,10060951,10397479,10485082,10509511,10552232,10946074,11068591,11343025,11493704,11606532,11848279,11871261,12096034,12325594,12368829,12712305,12845551,12860674,12930417,13079001,13089754,13176679,13507159,13551436,13559792,13611630,13817300,14017132,14232994,14275759,14519072,14689282,14931751,15254766,15412492,15660705,16333956,16580760,16704752,16962082,16969449,17339482,17641114,17686144,18172831,18365837,18444745,18653355,18792846,18869169,18920194,19220482,19595482,19739000,19896912,19980679,20044954,20201725,20929351,20960265,21016834,21392945,21922761,22133694,22134874,22206375,22357616,22384026,22810636,22912951,23026714,23128041,23337041,23619994,23637199,23680424,23686800,23694082,24049471,24064689,24242070,24357919,24460591,24613832,25152318,25265920,25381399,25671534,25835674,25858208,26098525,26236910,26256637,26498911,26600071,26640477,26647650,26701159,26903119,27397036,27671074,27690561,27908599,28017857,28108831,28208839,28424160,28707799,28767514,29090484,29502391,29679436,30095311,30319104,30553149,30561350,30685639,30732034,31159929,31318230,31468711,31484292,31746082,31977180,32052991,32150119,32344159,32468482,32578977,32827999,32865182,32988584,33338630,33406112,33598399,34108992,34459591,34626082,34843304,35504239,35589185,35693239,35732417,36031852,36104601,36352471,36484354,36673620,36746409,37112157,37481300,37581876,37660351,37835482,38031439,38308999,38330589,38372616,38898082,38954119,39118528,39198717,39412759,39493454,39687079,40006356,40025510,40051831,40324639,40590754,40777879,40942234,41190609,41229319,41267681,41319391,41409391,42031745,42239144,42661831,42707022,43161032,43169193,43194271,43195521,43459519,43530754,43745725,43812705,43900159,43988071,44008344,44082344,44514031,44580137,44977560,45128794,45366797,45454636,45817591,45820954,45900172,46031889,46151945,46162471,46248511,46334479,46506199,46733552,46763239,46950260,47019631,47200474,47235052,47445511,47519037,47761832,47887834,47954191,47976064,48025114,48030612,48230914,48291871,48556161,48582685,48642082,48680264,49131031,49509387,49592637,49700577,50076634,50286441,50293759,50438094,50541079,50599755,50916745,51046310,51115639,51197431,51432104,51665932,51767959,52107436,52130305,52348232,52384282,52494870,52575246,52818151,52992034,53122809,53126914,53135265,53213961,53571089,53732061,53800354,53973072,54405082,54410071,54488911,54750412,54765297,54882031,55058705,55382334,55507279,55599089,55994528,56340312,56419220,56506636,56623305,56646941,56677616,56744482,56915117,56920232,57010594,57050239,57179300,57279199,57810919,57832904,57861117,58299222,58365705,58403482,58891761,58953830,58998274,59087551,59220129,59310679,59328154,59384911,59754991,60045350,60270079,60381082,60398192,60441292,60719706,60927151,61100094,61217311,61255572,61289671,61299034,61312492,61364482,61691482,61847265,62256752,62366431,62556366,62993844,63286519,63356791,63382851,63485452,63642657,63685910,63762318,63844941,63904474,64035261,64125031,64194439,64228354,64333039,64681114,64785772,64809710,64815871,64884559,65062017,65090191,65113544,65223389,65363359,65567479,65931350,65970416,66070446,66163234,66804994,66835076,66947212,67071800,67125274,67703064,67947966,68031679,68083714,68096911,68486791,68615160,68644045,68677581,68847874,68874079,69158881,69241985,69322639,69386431,69482914,69837614,69957319,70038846,70146319,70223529,70744596,70937434,71081599,71123241,71378434,71677036,71939911,71944282,71973417,72054420,72121999,72903559,72923300,73141591,73189504,73252737,73421265,73496969,73567389,73731631,73815436,73821082,74023951,74132482,74216718,74545591,74832871,75064232,75126274,75402031,75455775,75683911,75796159,75946636,75963991,76054234,76165947,76423092,76463599,76609282,76848151,76858048,76884105,77074361,77192055,77470114,77660311,77713879,77771652,77874151,78035165,78245599,78316016,78450082,78451149,78613905,78977911,79117620,79214169,79304194,79365082,79427270,79730074,79746871,79774982,79912354,80049919,80462504,80475609,80486160,80549239,80579482,80890761,81187591,81284719,81307310,81429871,81486082,81546394,81622399,81759025,82009712,82028314,82070265,82193071,82338192,82372854,82449154,82645905,82749274,82825885,82845751,83075431,83090382,83121151,83153864,83166799,83257879,83288482,83574391,83798311,83826394,83854832,84049832,84392128,84415711,84422554,84447261,84541594,84670525,84768409,85076482,85104031,85231039,85313794,85357399,85649719,85851904,85856359,85979479,86465304,86494636,86704591,86734697,87252439,87507960,87541616,87580225,87627944,87731482,87790114,88010599,88084831,88105518,88155632,88378879,88560319,88652289,88775671,88959394,89093839,89302711,89543119,89645071,89752465,89832154,90210559,90247852,90308191,90469471,90501511,90520317,90533479,90546930,90658766,90660631,90692265,90724382,90932482,91004359,91218559,91309279,91548031,91753159,91983271,92180839,92260926,92428834,92429671,92441657,92494337,92585300,92630466,92805151,92935831,92944282,92961751,93001474,93090271,93176270,93242119,93341824,93394225,93548097,93586351,93642198,93800191,93823591,93867464,94090766,94143631,94298359,94312474,94336686,94556061,94680031,94822159,94901791,94941144,94950401,94999711,95019079,95095831,95171431,95312724,95355391,95397785,95478680,95514799,95549431,95600839,95767519,95864054,95879911,95973439,96009754,96049399,96079279,96094111,96167191,96195919,96252511,96298525,96358449,96425265,96454471,96492919,96572314,96583392,96640231,96698551,96709999,96738416,96788119,96830317,96852271,96923839,96928937,97010671,97019959,97056391,97189282,97257991,97273467,97375279,97386871,97413154,97419919,97536559,97546279,97561039,97566439,97568772,97589119,97605751,97609639,97611799,97613959,97716817,98110830,98317709,98446455,98484318,98528674,98581437,99032457,99175086,99391062,99748354,99768020,...,41842110240066894873316467074046247885520910247974555779343927697106750701673955644247473206715765417752786902596337485264642527936498795339480480939037452025185621860493238076172160035390628514381343839736275817598155448057768350556490343571358040008371743394125747183631829662697644468872935185788824626563375137991546907156877862759274024834668353572786394389765011747521555977547275711638351015483442893956948149200614214722722063900701901033288427497957110148004080691249829378305222075414569348560436516277489395034662178938181554138727631661842513410277180303382695550839230882322858181578915997121639876232927080354699216055094383080913498862988374457304448401307044078853497330061455906652432855314098919052344386369320268775152713568871075629860164073697313783636746039373028817523199811597804052423878252741723082249109663451911379808749396216806431877250081650143996506965799345811358999619102861515590058092963151248506359820747393434909242422425368641466441952667139606363779068484640252535118016556731817180726357917894075853977539299345265544769552782945928607694037162830895860041249585448612934419293570302500728693232496983241954305965408637262145760354064848774787277434486304826971586139022510879123807008920501154941027926781993931608438937645732188999557969967080824157475027473182092418721396955178220652079651183700124817668229513456758811622398635005086245123407865572533578639576582329327972749133247565471817358607071540494729270854991546266879096137407006169130370049724858347098591355476320810443610303852299345603568253970659712855171071802730769512689324525434451397900524558801856542888990203047406331563544376234958699067200557686947342479334734140522217108294350231905614403730072743830564869055956194496382901706769724442154369039939505669952579526304892888095061361114300893313517028094928827218795620421816505251339856433000671977659099580719946420338149865151455235911624117645477768373955359267528910093105162378195170298618020350203491051202826056757854949351798726672803305498865685402487811680688220030891380262242874781886736982313372699059719313975555082408300829696806919661400658074982525464954108219089106899458268373970685166459505547130557097199125934795662800785791960623840158632476274014497742883337110596877063538886510973101327213329208778752420010220033665770110020250601542770445039945945352376566861806983390806453176889134376080693674433175695724801093472781690151093488955254227633784932385559616987223917599378442700345162938603373036570415773498508800373565473911987494584492074308552826980203424274074007237787472571287442406794391217936497547538232200428293414572819847605905236437517698130133416379388264006572891660972296529661376613782495756930436651200437430160349014519254298383077234222962196096488170281081482656712713736873444007787111836464957471561872690113077510716392265329276487309416940039716273964901155508709825028970903957827925534923537869757278369468805413758739614419710933003456678983356579558540281850422125309004402548263769959684695309847171440563615721240555626259381609225395838242212848467029088829022785441756042529122790154524179549603848468611842258}
19761 117701772436393172342812116437311338967853509255189915276197210233035722: {39518,296295,316048,355554,414771,493775,592530,632032,711036,1125123,1677815,1834611,2013378,2388419,2425191,2860415,3432498,3486723,3592498,3604551,4193331,4631615,4990931,5106703,5132140,5557938,5701103,5721351,5810615,6079612,6158568,6928389,6972738,7295290,7945951,8685160,8754348,8765223,8888759,9233203,9745138,9770805,10056991,10422192,10630311,11483351,11676723,11724966,11864818,12704188,13145903,13190290,13300611,13446994,14367130,14508165,14616658,14688771,14866618,15035271,15475376,15611791,15727623,15737903,15828348,16094083,16419111,16491772,16939295,16949740,17142151,17232658,17240556,17271625,17409798,17438668,17521415,18144051,18148840,18488391,18574271,18930739,18960058,19248119,19265615,19291011,19562914,19634631,20327154,20339688,20417445,20720371,20725950,20880940,21025698,21349491,21537103,21778608,22033923,22107680,22625932,22810279,22882149,23118738,23217202,24072178,24500934,24673750,24871140,25057128,25158892,25443123,26009223,26242771,26419954,26461671,26529216,26951503,27741671,27947020,28189269,28380291,28513295,28799938,28830723,28865011,29009794,29230348,29393223,29511592,29600530,29608500,29845368,30067431,30199858,30487891,30691042,30767290,30837388,31312471,31525251,31582400,32086252,32184898,32322760,33200541,33202311,33527698,33536424,33576039,34215954,34228712,34246295,34540071,35418802,35429991,35433463,35520636,35530200,35541123,35973971,36363105,36920748,36959251,37099295,37255031,37728477,37765903,37857634,37898880,38468911,38507301,38535299,38572051,38753511,38787312,39355365,39649618,39971475,40425472,40481999,40737532,40818394,40891858,41093459,41095554,41235730,41506611,41546572,41757640,41791603,41979056,42371351,42595231,42636240,43151271,43438636,43554130,43635726,44124802,44519154,45003091,45039815,45478656,45804703,45842025,46098051,46851625,46977345,47226438,47559959,47619123,47965770,48139468,48702723,48898160,48975551,48995212,49099378,49297773,49482876,49592914,49805203,50007945,50044354,50109168,50603791,51107452,51163488,51771523,51939123,52264956,52798930,52848418,53341808,53951290,54047778,54474658,54726531,54920812,55010430,55102930,55579103,56221950,56372814,56753223,56818295,56942696,56974351,57350434,57375215,57558311,57558924,57594028,57724114,58347123,58416940,58677792,58687825,59022322,59043815,59240181,59702290,59712154,59964322,59970080,60009534,60038265,60178679,60850330,60886131,61115431,61375852,61413351,62709911,63358716,63488591,64040816,64060533,64290130,64582415,64741548,65101234,65134295,65296131,65435290,65681203,66012516,66123516,66267436,67048588,67250792,67466340,67693191,67762871,68181954,68438015,68526514,68617471,68731431,68850258,69847258,69993160,70100328,70115071,70404691,70425390,70524025,70633295,70800711,70830412,70847020,70852578,70951948,71150290,71474125,71642748,71758498,71831751,71964096,72037671,72045918,72291130,72346371,72759631,72963123,73020396,73372978,73543603,73843112,73892083,74061251,75114951,75120416,75172211,75497740,75551615,75657141,75918778,76569465,76575059,76598914,76640615,76674451,77136178,77148156,77177011,77498898,77589031,77732296,77820940,78161154,78299779,78522348,78576423,78742305,78862869,78960172,79356815,79488051,79690371,80524403,80700531,80959608,80982215,81391930,81466792,81607623,81671794,81674096,82125618,82134031,82463020,82992754,83073501,83408488,83543845,83551351,83684015,83839750,83991792,84510468,84618143,84628830,84646114,84759954,84856876,85016424,85116723,85126588,85380348,85515891,85768950,86749356,87448833,87605223,87962693,88093928,88430745,88497411,88540271,88749754,88992231,89295079,89596295,89890591,89996914,90068025,90270752,90571623,90597288,90661938,91079559,91154125,91486880,91570108,91591379,91650141,91883358,91907383,91948551,91968738,92046723,92086303,92269295,92466751,92537223,92643778,92974751,93385128,93631372,93830290,93834549,94326128,94490766,94803058,94830988,94933295,95228178,95327639,95528865,95643477,95856711,95964556,96072560,96342531,97021671,97178658,97214565,97613602,97670316,97814519,97895020,98089852,98116954,98127503,98897025,98955624,99105669,99244851,...,62763165360100342309974700611069371828281365371961833669015891545660126052510933466371209810073648126629180353894506227896963791904748193009220721408556178037778432790739857114258240053085942771572015759604413726397233172086652525834735515357037060012557615091188620775447744494046466703309402778683236939845062706987320360735316794138911037252002530359179591584647517621282333966320913567457526523225164340935422223800921322084083095851052851549932641246935665222006121036874744067457833113121854022840654774416234092551993268407272331208091447492763770115415770455074043326258846323484287272368373995682459814349390620532048824082641574621370248294482561685956672601960566118280245995092183859978649282971148378578516579553980403162729070353306613444790246110545970675455119059059543226284799717396706078635817379112584623373664495177867069713124094325209647815875122475215994760448699018717038499428654292273385087139444726872759539731121090152363863633638052962199662929000709409545668602726960378802677024835097725771089536876841113780966308949017898317154329174418892911541055744246343790061874378172919401628940355453751093039848745474862931458948112955893218640531097273162180916151729457240457379208533766318685710513380751732411541890172990897412658406468598283499336954950621236236212541209773138628082095432767330978119476775550187226502344270185138217433597952507629367685111798358800367959364873493991959123699871348207726037910607310742093906282487319400318644206110509253695555074587287520647887033214481215665415455778449018405352380955989569282756607704096154269033986788151677096850786838202784814333485304571109497345316564352438048600800836530421013719002101210783325662441525347858421605595109115745847303583934291744574352560154586663231553559909258504928869289457339332142592041671451339970275542142393240828193430632724757877009784649501007966488649371079919630507224797727182853867436176468216652560933038901293365139657743567292755447927030525305236576804239085136782424027698090009204958248298528103731717521032330046337070393364312172830105473470059048589578970963332623612451244545210379492100987112473788197431162328633660349187402560956027749689258320695835645798688902193494201178687940935760237948714411021746614325005665895315595308329766459651990819993813168128630015330050498655165030375902314155667559918918028564850292710475086209679765333701564121040511649763543587201640209172535226640233432881341450677398578339425480835876399067664050517744407905059554855623660247763200560348210867981241876738111462829240470305136411111010856681208856931163610191586826904746321307348300642440121859229771408857854656276547195200124569082396009859337491458444794492064920673743635395654976800656145240523521778881447574615851334443294144732255421622223985069070605310166011680667754697436207342809035169616266074588397993914730964125410059574410947351733263064737543456355936741888302385306804635917554203208120638109421629566399505185018475034869337810422775633187963506603822395654939527042964770757160845423581860833439389072413838093757363319272700543633243534178162634063793684185231786269324405772702917763387}
19762 118160818022334599239260219244964754619101358547886473168289053516898601: {59277,217261,276542,395060,453997,474072,533331,553028,790040,888795,948048,1044577,1066554,1500164,1695662,1985761,2403278,2446148,2684504,2874302,3020067,3109598,3233588,3505357,3738061,4576664,4648964,4806068,5148747,5388747,5591108,5704417,5921918,6155342,6388622,6415175,6965677,7410584,7422157,7536097,7599515,7628468,7698210,8211424,8336907,8558317,8897761,8945198,9119418,9237852,9296984,9687277,10459107,10563038,10793582,10856450,10942935,11023982,11478637,11672464,11686964,12173822,12256561,12861998,13027740,13030957,13091102,13131522,13540954,13896256,14173748,14459761,14462702,14617707,14690798,15568964,15633288,15880235,16309837,17587449,17734148,17797227,18771902,18992737,19056282,19099117,19311661,19344220,19585028,19629937,19785435,19841761,20047028,20121902,20170491,20370061,20614715,20794958,20970164,21019022,21104464,21187175,21550695,21798335,21892148,21924987,22137182,22299927,22673197,22686050,22987408,23213064,23295277,23696558,23742522,24017761,24192068,24326317,24651188,24737658,25043761,25424610,25691102,25721348,25822643,25848987,25859377,25860834,26101175,26114697,26158002,26179508,26265457,26353358,26569261,27014318,27102872,27119584,27223260,27275617,27577261,27634600,28034264,28282415,28440087,28465988,28551518,28578061,29038144,29274337,29344371,29373517,29378564,29863502,29950123,30490731,30509532,30824984,31030571,31048561,31088925,31321410,31448615,31538547,32667912,32702797,33161520,33409504,33474061,33924164,33938898,34678107,34678964,34825803,34933775,35097697,35192557,35282228,35372288,36108267,36345662,36537935,36731674,36751401,36794161,36889490,37010625,37306710,37585692,37738338,37840388,37912177,38440964,38546735,39190964,39295117,39478000,39629931,39752497,39793824,39961358,40089908,40107815,40403450,41833261,41858702,41920530,42033668,42280561,42785890,43199907,43514691,43611661,43845522,44267388,44269748,44314957,44400795,44412750,44715232,44768052,45299787,45534637,45621272,45825902,46036563,46053428,46150935,46256082,46483057,46654561,46674082,47239988,47274398,47360848,47373600,47388164,47762317,48098942,48129378,48277347,48353761,48484140,48606157,48715838,48921182,49227664,49442797,49824859,50272237,50291547,50304636,50531840,50762798,50921915,51323931,51343068,51502897,51671348,51716416,51933215,52197050,52473820,52513274,52997822,53118577,53128203,53200142,53280954,53295300,53402318,53806238,54298295,54705457,54794072,54872411,55342148,55381122,55799137,55817198,56035714,56217662,56417678,56417761,56786451,56848320,57337057,57413197,57415598,57535028,58180968,58471597,58844443,58920877,59004782,59070061,59358872,59441761,59474427,60174335,60179761,60190622,60638208,60692077,61106298,61122700,61227591,61244015,61337787,61371278,61464068,61634161,61643331,61853595,62319858,62636460,62680343,62918497,62937422,62968584,63059761,63200737,63311287,63492164,63884315,63954360,63970957,64105982,64110061,64300238,64594657,64612723,64688318,64936964,65157954,65331195,65453589,65485261,65655998,65730364,65977168,66187203,66363697,66677260,66778731,66812224,67031137,67196798,68015759,68217984,68279437,68603617,68651015,68919182,69252164,69686608,70573357,70839657,71008478,71178370,71283443,71386478,71464834,71746417,71948655,71992535,72063704,72209202,72534061,72704942,72968708,72982427,73012717,73021175,73131661,73347240,73492818,73649067,73839277,73897777,73928459,74014561,74189197,74224314,74389371,74962600,75066531,75163752,75320702,75450061,75670964,76062878,76400497,76617998,76661178,76719815,76745232,77082187,77113261,77492017,77796164,77908238,77920561,78237056,78397434,78607117,78825518,78986908,79198395,79272627,79374158,80012712,80051020,80103662,80245261,80649278,80926935,81071667,81181508,81377137,81473761,81555758,81618157,81711987,81733223,81809677,81884468,82381218,82424161,82458638,82515645,82535362,82638782,82654395,82657261,82818782,82834295,82980577,83436337,83661517,83810735,84063490,84332925,84478288,84544237,84559221,84803437,84889261,85323662,85414044,85855537,86025651,86322064,86338386,86344561,86388542,86391042,86586171,86862637,86919038,87061508,87214177,87252877,87491450,87625410,87635917,87800318,87899761,87976142,88011757,88016688,88160077,88164688,88525837,88533483,88538015,88558775,88562017,88689935,89028062,89160274,89166061,89443117,89553435,89568231,89916877,89946483,89950177,89955120,90014301,90016561,90181261,90257588,90408817,90733594,90884557,90909272,91223137,91275495,91635182,91641457,91641908,91800344,91874161,91960237,92063778,92073997,92242477,92303890,92324942,92497022,92625517,92652337,92668958,92838061,93012398,93274417,93398797,93423457,93467104,93521377,93526478,93900520,93901537,94039262,94372175,94394161,94400948,94470104,94741163,94891022,94951117,95038074,95048497,95106061,95329837,95348017,95523664,95729761,95775668,95908382,95952128,96050228,96061224,96101663,96165217,96222817,96428557,96435195,96461828,96583742,96791437,96908257,96938779,97112322,97115761,97132897,97165370,97174477,97276175,97284164,97360528,97374061,97420717,97431661,97457761,97467697,97482061,97517197,97525261,97567597,97570657,97631857,97632397,97651851,97726739,98152935,98262062,98700215,99018774,99185274,99401154,...,83684220480133789746632934148092495771041820495949111558687855394213501403347911288494946413431530835505573805192674970529285055872997590678960961878074904050371243720986476152344320070781257028762687679472551635196310896115536701112980687142716080016743486788251494367263659325395288937745870371577649253126750275983093814313755725518548049669336707145572788779530023495043111955094551423276702030966885787913896298401228429445444127801403802066576854995914220296008161382499658756610444150829138697120873032554978790069324357876363108277455263323685026820554360606765391101678461764645716363157831994243279752465854160709398432110188766161826997725976748914608896802614088157706994660122911813304865710628197838104688772738640537550305427137742151259720328147394627567273492078746057635046399623195608104847756505483446164498219326903822759617498792433612863754500163300287993013931598691622717999238205723031180116185926302497012719641494786869818484844850737282932883905334279212727558136969280505070236033113463634361452715835788151707955078598690531089539105565891857215388074325661791720082499170897225868838587140605001457386464993966483908611930817274524291520708129697549574554868972609653943172278045021758247614017841002309882055853563987863216877875291464377999115939934161648314950054946364184837442793910356441304159302367400249635336459026913517623244797270010172490246815731145067157279153164658655945498266495130943634717214143080989458541709983092533758192274814012338260740099449716694197182710952641620887220607704598691207136507941319425710342143605461539025378649050868902795801049117603713085777980406094812663127088752469917398134401115373894684958669468281044434216588700463811228807460145487661129738111912388992765803413539448884308738079879011339905159052609785776190122722228601786627034056189857654437591240843633010502679712866001343955318199161439892840676299730302910471823248235290955536747910718535057820186210324756390340597236040700406982102405652113515709898703597453345606610997731370804975623361376440061782760524485749563773473964626745398119438627951110164816601659393613839322801316149965050929908216438178213798916536747941370332919011094261114194398251869591325601571583921247680317264952548028995485766674221193754127077773021946202654426658417557504840020440067331540220040501203085540890079891890704753133723613966781612906353778268752161387348866351391449602186945563380302186977910508455267569864771119233974447835198756885400690325877206746073140831546997017600747130947823974989168984148617105653960406848548148014475574945142574884813588782435872995095076464400856586829145639695211810472875035396260266832758776528013145783321944593059322753227564991513860873302400874860320698029038508596766154468445924392192976340562162965313425427473746888015574223672929914943123745380226155021432784530658552974618833880079432547929802311017419650057941807915655851069847075739514556738937610827517479228839421866006913357966713159117080563700844250618008805096527539919369390619694342881127231442481111252518763218450791676484425696934058177658045570883512085058245580309048359099207696937223684516}
19763 118621641260766568257359917704223521148222338808185861322503129298901028: {19763,79036,414813,493825,592590,632096,691285,711108,829542,987550,1185060,1264064,1422072,1599831,1875205,2250246,2348941,2543493,2822677,3057685,3355630,3604917,3669222,4004581,4026756,4041985,4311453,4664397,4776838,4850382,5720830,5811205,5898373,6007585,6371821,6484261,6864996,6973446,6988885,7184996,7209102,8134861,8386662,8882877,9233013,9263230,9322357,9535585,9582933,9720481,9981862,10213406,10264280,10430293,10504897,11115876,11402206,11442702,11484517,11547315,11621230,12159224,12317136,12396961,13417797,13571233,13679127,13856778,13945476,14052517,14590580,14608705,15370861,15739501,15844557,15891902,16190373,16284675,16535973,17370320,17508696,17530446,17589421,17717185,17777518,18260733,18466406,18576157,19292997,19461205,19480333,19490276,19541610,19636653,19697283,19746061,20113982,20311431,20844384,21134881,21260622,21694053,22036197,22167685,22747777,22966702,23353446,23449932,23715013,23729636,23998453,24180275,24481285,24529981,25058785,25408376,26212705,26291806,26380580,26601222,26707117,26833381,26893988,26971861,27365185,28157853,28584423,28734260,29016330,29233316,29377542,29733236,30070542,30182853,30240085,30249697,30813985,30950752,31005397,31192437,31223582,31455246,31475806,31528533,31656696,32129317,32151685,32188166,32724385,32838222,32983544,33083761,33205773,33878590,33899480,34029075,34284302,34465316,34481112,34543250,34819596,34877336,35042830,35544837,35582485,35613783,35724037,36288102,36297680,36723205,36976782,37106487,37148542,37861478,37920116,38136915,38496238,38531230,38536653,38582022,38791251,38965861,39125828,39237003,39269262,39530037,39918613,40521477,40654308,40679376,40834890,41440742,41451900,41523757,41622337,41761880,42051396,42405205,42514693,42698982,42801517,42827277,43074206,43273861,43348705,43557216,44028673,44067846,44102785,44215360,44795253,45251864,45354661,45541717,45620558,45669361,45764298,46237476,46434404,46982115,47300485,47944813,48051205,48144356,48564997,48988705,49001868,49172161,49347500,49639201,49742280,49879957,50075233,50112385,50114256,50317784,50886246,50908347,51939013,52018446,52485542,52542085,52839908,52923342,53058432,53842261,53903006,54264493,54518493,55097511,55334235,55337185,55483342,55894040,55960065,56378538,56381677,56607507,56760582,57026590,57566785,57599876,57650197,57661446,57730022,58019588,58460696,58786446,59023184,59049985,59081917,59201060,59217000,59235205,59690736,59942037,60134862,60184861,60399716,60605175,60606997,60975782,61382084,61534580,61674776,61769053,62117821,62624942,62788053,62880795,63050502,63055741,63164800,64153393,64172504,64178835,64329877,64369796,64589185,64645520,65592275,65768283,66401082,66404622,66507661,66619125,67055396,67072848,67152078,68431908,68457424,68492590,68738853,69080142,69177685,69384123,70011123,70711861,70714213,70837604,70859982,70866926,70911597,70957837,71041272,71060400,71082246,71120257,71918785,71947942,72148413,72194067,72726210,73073757,73381773,73394173,73841496,73918502,74111713,74198590,74471797,74488117,74510062,75456954,75531806,75715268,75797760,76144197,76403375,76830085,76937822,77014602,77070598,77144102,77507022,77574624,77858881,78295575,78710730,78769911,79256941,79299236,79365205,79496733,79512037,79545613,79800213,79921431,79942950,80083393,80103477,80325301,80709357,80766037,80850944,80963998,81171205,81424117,81475064,81636788,81783716,82162955,82186918,82191108,82471460,82661341,83013222,83071683,83093144,83346575,83515280,83583206,83725797,83958112,84053571,84326493,84626517,84742702,85147441,85190462,85272480,85753957,86123397,86302542,86565205,86877272,87108260,87108493,87271452,87526933,88249604,88507173,88549333,89038308,89068321,89105797,89134081,89439157,90006182,90079630,90285933,90415381,90453877,90497797,90848497,90957312,91188013,91210885,91609406,91659447,91679521,91684050,92016397,92056917,92196102,92512117,93479787,93636493,93703250,93954690,94092757,94406133,94452876,94588705,95119918,95238246,95813221,95931540,96158973,96278936,96450357,97032477,97245205,97405446,97736931,97796320,97951102,97990424,98198756,98238877,98483997,98595546,98613661,98733635,98886613,98965752,99185828,99610406,...,125526330720200684619949401222138743656562730743923667338031783091320252105021866932742419620147296253258360707789012455793927583809496386018441442817112356075556865581479714228516480106171885543144031519208827452794466344173305051669471030714074120025115230182377241550895488988092933406618805557366473879690125413974640721470633588277822074504005060718359183169295035242564667932641827134915053046450328681870844447601842644168166191702105703099865282493871330444012242073749488134915666226243708045681309548832468185103986536814544662416182894985527540230831540910148086652517692646968574544736747991364919628698781241064097648165283149242740496588965123371913345203921132236560491990184367719957298565942296757157033159107960806325458140706613226889580492221091941350910238118119086452569599434793412157271634758225169246747328990355734139426248188650419295631750244950431989520897398037434076998857308584546770174278889453745519079462242180304727727267276105924399325858001418819091337205453920757605354049670195451542179073753682227561932617898035796634308658348837785823082111488492687580123748756345838803257880710907502186079697490949725862917896225911786437281062194546324361832303458914480914758417067532637371421026761503464823083780345981794825316812937196566998673909901242472472425082419546277256164190865534661956238953551100374453004688540370276434867195905015258735370223596717600735918729746987983918247399742696415452075821214621484187812564974638800637288412221018507391110149174575041295774066428962431330830911556898036810704761911979138565513215408192308538067973576303354193701573676405569628666970609142218994690633128704876097201601673060842027438004202421566651324883050695716843211190218231491694607167868583489148705120309173326463107119818517009857738578914678664285184083342902679940551084284786481656386861265449515754019569299002015932977298742159839261014449595454365707734872352936433305121866077802586730279315487134585510895854061050610473153608478170273564848055396180018409916496597056207463435042064660092674140786728624345660210946940118097179157941926665247224902489090420758984201974224947576394862324657267320698374805121912055499378516641391671291597377804386988402357375881871520475897428822043493228650011331790631190616659532919303981639987626336257260030660100997310330060751804628311335119837836057129700585420950172419359530667403128242081023299527087174403280418345070453280466865762682901354797156678850961671752798135328101035488815810119109711247320495526401120696421735962483753476222925658480940610272822222021713362417713862327220383173653809492642614696601284880243718459542817715709312553094390400249138164792019718674982916889588984129841347487270791309953601312290481047043557762895149231702668886588289464510843244447970138141210620332023361335509394872414685618070339232532149176795987829461928250820119148821894703466526129475086912711873483776604770613609271835108406416241276218843259132799010370036950069738675620845551266375927013207644791309879054085929541514321690847163721666878778144827676187514726638545401087266487068356325268127587368370463572538648811545405835526774}
19764 119084248986919004386502127717073323152277548761610761853313889070686108: {98795,118554,217283,256763,434522,553084,729899,790120,888885,907994,926699,948144,1066662,1106056,1244313,1319699,1481325,1580080,1633523,1777590,1896096,2025083,2089154,2133108,3000328,3272699,3375369,3391324,3544523,3777203,3971522,4125683,4357643,4550723,4806556,4892296,5013299,5033445,5128763,5369008,5474723,5503833,5705003,5748604,5973299,6040134,6164699,6219196,6432323,6467176,6546899,6737699,7010714,7165257,7232843,7275573,7422923,7476122,8332523,8581245,8936363,8981245,9153328,9297928,9463043,9612136,10297494,10460169,10639321,10698299,10777494,10813653,11182216,11408834,11516963,11628299,11843836,12294803,12310684,12579993,12777244,12830350,12921899,13032323,13179443,13839899,13894845,13931354,13949723,14278763,14821168,14844314,14972793,15072194,15199030,15256936,15320109,15396420,16131083,16422848,16673814,17103309,17116634,17164053,17431845,17795522,17890396,18176699,18238225,18238836,18248003,18354899,18475704,18593968,18604043,19136603,19349123,19374554,19667363,19879163,20407403,20583083,20785167,20918214,21126076,21587164,21712900,21772403,21885870,21946523,22047964,22232329,22675643,22957274,23344928,23373928,23711123,23837853,24054683,24123299,24347644,24362845,24363203,24513122,25148699,25723996,26055480,26061914,26099243,26182204,26263044,26295669,26572163,26605883,26666277,27081908,27580283,27699609,27792512,27914723,28281683,28347496,28780523,28860601,28919522,28925404,29235414,29312415,29381596,29409803,29662045,29673899,30167699,30170973,30517669,31052003,31084643,31137928,31266576,31760470,31890933,31962899,32060123,32124899,32619674,32975725,33317483,33509843,33617485,33957563,34148963,34450053,35030169,35101643,35174898,35468296,35575283,35594454,35795699,35917825,35952899,36541645,36672493,36798323,36829523,37166545,37543804,37668899,37730843,37985474,38112564,38198234,38623322,38688440,38840363,39170056,39259874,39437709,39570870,39595381,39665699,39683522,39757043,39878723,39901833,39969899,40061003,40094056,40121699,40243804,40340982,40666523,40740122,40877699,41229430,41238803,41328899,41388923,41589916,41940328,42017243,42038044,42208928,42225899,42374350,42374699,42760643,43081645,43101390,43524495,43596670,43784296,43849974,43998299,44028061,44066313,44274364,44599854,45105813,45308699,45346394,45372100,45453299,45655403,45885899,45974816,46230683,46426128,46517123,46590554,46831283,46835373,47172899,47182869,47213709,47393116,47400145,47485044,47513363,47965523,48021899,48035522,48106403,48282249,48359483,48384136,48652634,48907285,49257333,49302376,49475316,49642883,50087522,50305763,50608043,50817885,50849220,51127883,51153109,51382204,51426453,51442696,51645286,51697974,51718754,51721668,51814875,52202350,52229394,52316004,52359016,52530914,52564245,52706716,52884443,53044883,53138522,53231699,53948603,53965429,54028636,54205744,54239168,54432153,54446520,54502163,54551234,54738323,54895403,54947699,55154522,55269200,55465173,55722813,56068528,56150941,56450363,56564830,56792217,56809043,56880174,56931976,57064283,57103036,57156122,57344123,57445643,57521699,57744357,57796845,57825203,57873033,57951323,58043005,58076288,58478843,58548674,58653899,58688742,58747034,58757128,58903893,59102243,59151899,59325443,59399699,59449163,59727004,59900246,60180445,60578003,60981462,61019064,61252335,61280963,61425563,61593899,61649968,61684375,62061142,62097122,62161113,62177850,62429699,62642820,62666699,62897230,63077094,63091283,63372899,64048473,64141403,64611309,64849213,64878299,65335824,65405594,65968283,66049885,66101769,66170603,66323040,66461699,66819008,66906899,66948122,67194563,67304843,67502843,67848328,67877796,68158163,68223299,68430837,68612603,68646447,68935043,69191699,69356214,69357928,69651606,69659243,69786083,69867550,70054501,70195394,70206803,70353299,70385114,70415963,70520243,70564456,70707443,70744576,70831883,71141723,71290681,71326763,71959163,71999699,71999845,72216534,72524485,72603899,72691324,72706501,73075870,73161323,73200899,73260203,73339163,73463348,73496699,73502802,73588322,73751603,73778980,73927283,74001325,74021250,74044043,74076769,74315363,74604323,74613420,74853299,75171384,75460403,75476676,75499645,75680776,75824354,75984899,76017613,76022123,76300283,76329369,76686683,76727605,76881928,76918225,76960523,77093470,77717699,77895899,77931443,77949203,78027669,78197003,78302723,78381928,78590234,78635603,78728313,78948299,78956000,79241243,79259862,79385013,79504994,79587648,79803299,79922716,80022323,80106203,80179816,80215630,80462245,80806900,80854509,80999363,81340403,81404963,81453299,81485483,81645923,81980243,82638299,82916003,82992683,83099699,83145443,83225013,83583923,83666522,83717404,83733563,83819245,83841060,83897243,84067336,84074699,84177683,84244069,84561122,84567807,84657899,84729899,84830363,84987443,85129403,85140873,85200083,85298699,85508699,85539885,85571780,85716899,85741621,85882163,86032643,86399814,86492169,86531699,86595033,86730899,86757323,87029382,87123899,87223322,87279083,87369997,87535163,87691044,87913283,87925763,88037723,88099643,88179669,88296443,88406243,88503299,88534776,88539496,88547005,88587803,88629914,88801590,88825500,88827083,89249723,89353763,89430464,89438041,89536104,89594003,90063899,90195563,90202293,90390899,90519683,90599574,90657899,90710699,90742283,91023299,91069274,91146323,91242544,91247963,91463673,91577699,91651804,91917899,92073126,92089043,92106856,92154899,92266883,92301870,92460083,92478299,92512164,92541803,92853443,92966114,92992643,93009899,93121283,93138299,93290003,93309122,93348164,93414443,93488243,93593699,93633899,93729563,93855323,93870899,93925163,93937413,93971363,94431899,94479976,94548796,94575753,94643699,94644085,94712699,94721696,94726403,94747200,94776328,94947899,95065043,95129003,95141699,95204699,95316083,95524634,95583203,95594699,95779763,95801603,96111421,96128699,96197884,96201899,96211523,96240203,96258756,96273299,96342899,96397283,96498299,96554694,96593809,96611483,96707522,96753323,96895283,96946643,96968280,97092923,97098899,97119563,97128299,97212314,97287899,97327883,97356899,97431676,97441403,97450523,97452323,97476683,97478363,97501043,97505699,97516283,97523603,97566899,97574963,97581563,97586843,97590923,97605083,97619699,97645643,97651523,97653299,97842364,98455328,98885594,99124045,99601623,99606933,99649718,...,188289496080301026929924101833208115484844096115885501007047674636980378157532800399113629430220944379887541061683518683690891375714244579027662164225668534113335298372219571342774720159257828314716047278813241179191699516259957577504206546071111180037672845273565862326343233482139400109928208336049710819535188120961961082205950382416733111756007591077538774753942552863847001898962740702372579569675493022806266671402763966252249287553158554649797923740806995666018363110624232202373499339365562068521964323248702277655979805221816993624274342478291310346247311365222129978776538970452861817105121987047379443048171861596146472247924723864110744883447685057870017805881698354840737985276551579935947848913445135735549738661941209488187211059919840334370738331637912026365357177178629678854399152190118235907452137337753870120993485533601209139372282975628943447625367425647984281346097056151115498285962876820155261418334180618278619193363270457091590900914158886598988787002128228637005808180881136408031074505293177313268610630523341342898926847053694951462987523256678734623167232739031370185623134518758204886821066361253279119546236424588794376844338867679655921593291819486542748455188371721372137625601298956057131540142255197234625670518972692237975219405794850498010864851863708708637623629319415884246286298301992934358430326650561679507032810555414652300793857522888103055335395076401103878094620481975877371099614044623178113731821932226281718847461958200955932618331527761086665223761862561943661099643443646996246367335347055216057142867968707848269823112288462807101960364455031290552360514608354443000455913713328492035949693057314145802402509591263041157006303632349976987324576043575264816785327347237541910751802875233723057680463759989694660679727775514786607868372017996427776125014354019910826626427179722484580291898174273631029353948503023899465948113239758891521674393181548561602308529404649957682799116703880095418973230701878266343781091575915709730412717255410347272083094270027614874744895584311195152563096990139011211180092936518490316420410177145768736912889997870837353733635631138476302961337421364592293486985900981047562207682868083249067774962087506937396066706580482603536063822807280713846143233065239842975016997685946785924989299378955972459981439504385890045990151495965495091127706942467002679756754085694550878131425258629039296001104692363121534949290630761604920627517605679920700298644024352032195735018276442507629197202992151553233223715178664566870980743289601681044632603943725630214334388487721410915409233333032570043626570793490830574760480714238963922044901927320365577689314226573563968829641585600373707247188029578012474375334383476194762021230906186964930401968435721570565336644342723847554003329882434196766264866671955207211815930498035042003264092308622028427105508848798223765193981744192892376230178723232842055199789194212630369067810225664907155920413907752662609624361914328264888699198515555055425104608013431268326899563890519811467186964818581128894312271482536270745582500318167217241514281272089957818101630899730602534487902191381052555695358807973217318108753290161}
19765 119548648062117698170519040131554580554446228451372853510259945227243281: {39526,158072,177831,651783,691355,829626,967799,987650,1185180,1264192,1361991,1382570,1422216,1599993,1659084,1975100,2370120,2528128,2625287,2666385,2844144,3133731,3199662,3335891,3750410,4239155,4280759,4500492,4697882,5086986,5645354,5658779,5957283,6008195,6115370,6711260,7121447,7185755,7209834,7338444,7773995,8009162,8024819,8053512,8083970,8135687,8410619,8622906,9060201,9328794,9553676,9700764,9784439,10390859,10516071,10864067,11017331,11214183,11441660,11622410,11796746,12015170,12743642,12968522,13349819,13572611,13729992,13855427,13946892,13977770,14369992,14418204,14509319,14804795,15388355,15446241,15803843,15971555,16166241,16269722,16773324,17113251,17591207,17765754,18165563,18466026,18526460,18644714,19071170,19165866,19245525,19440962,19482311,19963724,20415419,20426812,20452187,20528560,20860586,20897031,21009794,21137027,22069127,22231752,22266471,22362995,22416659,22592459,22608291,22798545,22804412,22885404,22969034,23094630,23242460,24318448,24634272,24793922,24804059,25010721,25674951,26407595,26693283,26835594,26983955,27141125,27142466,27245687,27358254,27559955,27612443,27713556,27890952,28105034,28683959,29061831,29181160,29217410,29865179,30434555,30741722,31034759,31377321,31479002,31689114,31783804,32154995,32335883,32380746,32560583,32569350,32727755,32828805,33071946,33844019,33852385,34225259,34273799,34435911,34697603,34740640,35017392,35060892,35082299,35178842,35434370,35555036,36156755,36521466,36697787,36726995,36769683,36932812,37152314,37971011,38311259,38585994,38922410,38960666,38980552,39083220,39092871,39273306,39394566,39492122,40227964,40622862,41688768,42269762,42336119,42521244,43139579,43379283,43388106,43853121,44072394,44335370,44492843,45012359,45359303,45495554,45814139,45933404,46050563,46336067,46706892,46899864,46929755,47430026,47459272,47640705,47909543,47996906,48360550,48739619,48929511,48962570,49059962,49073531,49815479,50117570,50304755,50305499,50583611,50816752,51042227,51412487,51570803,51987395,52425410,52547555,52583612,52761160,52762347,53202444,53391681,53414234,53600963,53666762,53787976,53943722,54730370,55342955,55479107,56315706,56715125,56978211,57168846,57297351,57468520,57934983,58032660,58078823,58466632,58755084,58889811,59241395,59346419,59356305,59367287,59466472,59525283,60141084,60365706,60480170,60499394,60511473,60613223,60648551,60688187,61110183,61627970,61743899,61844145,61901504,62010794,62384874,62447164,62670791,62910492,62951612,63057066,63313392,63561525,63631763,64227755,64258634,64303370,64376332,64652085,65395005,65448770,65672519,65676444,65774961,65883395,65967088,66167522,66220679,66411546,66632891,66899781,66935363,67271687,67535795,67757180,67798960,68019591,68058150,68132051,68568604,68584187,68930632,68962224,69086500,69639192,69754672,69885831,70085660,70157339,70719143,71089674,71127563,71164970,71227566,71378795,71448074,71626451,71700851,71978819,72053283,72219947,72576204,72595360,72978951,73446410,73558919,73953564,74212974,74297084,74658755,75131283,75722956,75840232,76273830,76992476,77062460,77073306,77164044,77467929,77472059,77546961,77578131,77582502,77931722,78251656,78265319,78303525,78344091,78474006,78538524,78599963,78796371,78995507,79060074,79520243,79607783,79707783,79837226,79920179,80593499,81042954,81308616,81358752,81669780,81826851,82669979,82731783,82881484,82903800,82929287,83047514,83228459,83244674,83523760,83568563,84102792,84810410,84847245,85029386,85320261,85397964,85603034,85654554,85734183,86148412,86547722,86697410,87114432,87823011,88031411,88033113,88057346,88120551,88135692,88205570,88430720,88581287,89448311,89531123,89590506,89730539,89850369,90424859,90503728,90709322,90864155,91083434,91241116,91338722,91472193,91528596,91668023,91688939,91829185,92223725,92474952,92868808,93091713,93145683,93266775,93964230,93968771,94345845,94600970,94615641,94783943,94986659,95164787,95280131,95281259,95450771,95889626,96102410,96288712,96848759,97129994,97356551,97977410,98003736,98108391,98344322,98695000,98892263,99278402,99484560,99546947,99759914,99903395,...,251052661440401369239898802444277487313125461487847334676063566182640504210043733865484839240294592506516721415578024911587855167618992772036882885634224712151113731162959428457032960212343771086288063038417654905588932688346610103338942061428148240050230460364754483101790977976185866813237611114732947759380250827949281442941267176555644149008010121436718366338590070485129335865283654269830106092900657363741688895203685288336332383404211406199730564987742660888024484147498976269831332452487416091362619097664936370207973073629089324832365789971055080461663081820296173305035385293937149089473495982729839257397562482128195296330566298485480993177930246743826690407842264473120983980368735439914597131884593514314066318215921612650916281413226453779160984442183882701820476236238172905139198869586824314543269516450338493494657980711468278852496377300838591263500489900863979041794796074868153997714617169093540348557778907491038158924484360609455454534552211848798651716002837638182674410907841515210708099340390903084358147507364455123865235796071593268617316697675571646164222976985375160247497512691677606515761421815004372159394981899451725835792451823572874562124389092648723664606917828961829516834135065274742842053523006929646167560691963589650633625874393133997347819802484944944850164839092554512328381731069323912477907102200748906009377080740552869734391810030517470740447193435201471837459493975967836494799485392830904151642429242968375625129949277601274576824442037014782220298349150082591548132857924862661661823113796073621409523823958277131026430816384617076135947152606708387403147352811139257333941218284437989381266257409752194403203346121684054876008404843133302649766101391433686422380436462983389214335737166978297410240618346652926214239637034019715477157829357328570368166685805359881102168569572963312773722530899031508039138598004031865954597484319678522028899190908731415469744705872866610243732155605173460558630974269171021791708122101220946307216956340547129696110792360036819832993194112414926870084129320185348281573457248691320421893880236194358315883853330494449804978180841517968403948449895152789724649314534641396749610243824110998757033282783342583194755608773976804714751763743040951794857644086986457300022663581262381233319065838607963279975252672514520061320201994620660121503609256622670239675672114259401170841900344838719061334806256484162046599054174348806560836690140906560933731525365802709594313357701923343505596270656202070977631620238219422494640991052802241392843471924967506952445851316961881220545644444043426724835427724654440766347307618985285229393202569760487436919085635431418625106188780800498276329584039437349965833779177968259682694974541582619907202624580962094087115525790298463405337773176578929021686488895940276282421240664046722671018789744829371236140678465064298353591975658923856501640238297643789406933052258950173825423746967553209541227218543670216812832482552437686518265598020740073900139477351241691102532751854026415289582619758108171859083028643381694327443333757556289655352375029453277090802174532974136712650536255174736740927145077297623090811671053548}
19766 120014845373883229289401313977604075111769913851948085101113092233118729: {59289,138313,197590,237108,256789,434566,513526,869044,1106168,1244439,1319833,1459798,1481475,1555273,1580240,1777770,1815988,1853398,1896288,2073855,2133324,2212112,2468875,2488626,2639398,2962650,3078613,3160160,3195289,3267046,3555180,3792192,4050166,4178308,4266216,4358089,4799493,5398453,5513689,5625615,6000656,6545398,6547573,6750738,6776533,6782648,7046823,7089046,7347673,7554406,7630479,7943044,8251366,8371189,8389075,8468031,8715286,8824213,9101446,9173055,9613112,9614233,9784592,10026598,10066890,10257526,10512793,10738016,10814751,10949446,11007666,11410006,11497208,11942095,11946598,12013743,12080268,12125955,12329398,12438392,12573743,12864646,12934352,12934359,13093798,13475398,13993191,14021428,14302075,14330514,14389813,14465686,14551146,14845846,14936473,14952244,16132789,16665046,17105113,17162490,17433615,17695119,17872726,17962490,18022755,18306656,18595856,18925813,18926086,19115463,19224272,19452783,20304073,20594988,20920338,20966655,21041173,21278642,21396598,21554988,21627306,22364432,22504789,22817668,23033926,23127733,23158075,23256598,23687672,24404583,24468553,24589606,24621368,24954655,25159986,25533515,25554488,25660700,25695433,25843798,26064646,26358886,26608789,26648631,26709913,27679798,27699039,27789690,27862708,27899446,27967071,28118089,28218133,28505515,28517833,28557526,28606755,28748799,29015893,29053075,29161443,29642336,29688628,29945586,30144388,30203893,30398060,30513872,30640218,30792840,31088089,31290879,31514691,31576789,31966453,32160853,32262166,32845696,33347628,34107983,34206618,34233268,34328106,34453551,34641945,34863690,35591044,35780792,35799733,35988373,36353398,36364789,36476450,36477672,36496006,36709798,36833689,36951408,37187936,37190883,37208086,37766089,38273206,38698246,38749108,39334726,39700693,39729755,39758326,40253391,40578439,40713699,40814806,40882393,41037381,41166166,41333653,41423689,41513653,41526863,41570334,41836428,42157551,42252152,42676633,42765589,43174328,43340219,43425800,43544806,43771740,43826115,43893046,44003413,44095928,44443795,44464658,45351286,45487513,45914548,45920053,46112583,46166015,46264789,46350793,46689856,46747856,47064479,47218503,47422246,47533671,47547289,47675706,48109366,48246598,48571119,48695288,48725690,48726406,48729673,48854025,49026244,49607919,50284955,50297398,50559193,50805973,51158303,51215833,51447992,51786613,52033163,52110960,52123828,52198486,52364408,52515289,52526088,52591338,52768263,53144326,53151555,53211766,53332554,54163816,54508789,54587593,54782199,55160566,55399218,55585024,55728471,55829446,56071189,56563366,56694992,56918233,57147733,57416755,57561046,57721202,57839044,57850808,57878991,57983689,58383615,58440999,58470828,58624830,58763192,58819606,58909959,59091849,59238183,59324090,59347798,59407093,59555413,59851189,60314303,60335398,60341946,60585589,60934293,61035338,61240393,61312789,61601653,61745653,61961113,62104006,62169286,62275856,62390089,62533152,63380953,63404643,63520940,63781866,63925798,64120246,64219033,64249798,64909513,65082159,65239348,65729515,65951450,66108591,66201589,66360203,66503055,66634966,66804553,66937753,67019686,67234970,67915126,68123593,68243331,68297926,68470199,68772313,68900106,69222133,69413833,70060338,70203286,70349796,70936592,71145039,71150566,71188908,71591398,71663689,71835650,71905798,71995359,72540825,73083290,73344986,73443855,73526293,73589943,73596646,73659046,73702873,73820233,74333090,74920789,75087608,75176355,75337798,75461686,75827413,75970948,76051189,76225128,76396468,76639979,77098393,77246644,77376880,77680726,77746393,77960089,78058955,78296207,78340112,78519748,78638115,78689515,78875418,79063093,79141740,79190762,79331398,79367044,79514086,79526089,79757446,79803666,79831513,79939798,80033689,80121351,80122006,80188112,80243398,80470415,80484373,80487608,80500143,80681964,80915583,81260207,81333046,81480244,81755398,82095555,82458860,82477606,82650313,82657798,82777846,82791683,82881973,82928089,83157589,83179832,83203273,83611189,83880656,84034486,84076088,84101833,84252623,84321973,84417856,84451798,84473559,84696475,84748700,84749398,85311433,85521286,85710755,85729753,85753269,86018293,86163290,86202780,86358125,86544793,86941513,87019993,87048990,87193340,87369589,87561289,87568592,87607075,87699948,87751189,87939289,87996598,88056122,88125589,88132626,88548728,89170633,89199708,89516953,89755093,90089173,90211626,90351253,90544789,90548559,90576793,90617398,90692788,90720255,90744200,90749091,90906598,91048213,91171189,91310806,91473589,91771798,91884853,91942453,91949632,92441955,92461366,92469839,92475289,92771893,92852256,92871355,92982133,93008089,93016191,93034246,93162313,93181108,93577311,93657673,93662566,93670746,93847753,93871189,94345798,94365738,94427418,94455253,94585599,94653695,94770073,94786232,94800290,94970088,95026726,95049289,95068693,95258773,95668633,95834953,95931046,96043798,96071044,96145993,96212806,96240595,96290713,96318793,96328075,96387951,96454873,96455055,96564498,96633289,96718966,96763573,96768272,96916789,96968089,97065289,97074613,97102153,97205833,97305268,97375573,97437493,97471189,97497289,97639093,97669333,97673113,97673689,97814570,98173155,98514666,98604752,98950632,99251283,99285766,99617319,...,376578992160602053859848203666416230969688192231771002014095349273960756315065600798227258860441888759775082123367037367381782751428489158055324328451337068226670596744439142685549440318515656629432094557626482358383399032519915155008413092142222360075345690547131724652686466964278800219856416672099421639070376241923922164411900764833466223512015182155077549507885105727694003797925481404745159139350986045612533342805527932504498575106317109299595847481613991332036726221248464404746998678731124137043928646497404555311959610443633987248548684956582620692494622730444259957553077940905723634210243974094758886096343723192292944495849447728221489766895370115740035611763396709681475970553103159871895697826890271471099477323882418976374422119839680668741476663275824052730714354357259357708798304380236471814904274675507740241986971067202418278744565951257886895250734851295968562692194112302230996571925753640310522836668361236557238386726540914183181801828317773197977574004256457274011616361762272816062149010586354626537221261046682685797853694107389902925975046513357469246334465478062740371246269037516409773642132722506558239092472849177588753688677735359311843186583638973085496910376743442744275251202597912114263080284510394469251341037945384475950438811589700996021729703727417417275247258638831768492572596603985868716860653301123359014065621110829304601587715045776206110670790152802207756189240963951754742199228089246356227463643864452563437694923916401911865236663055522173330447523725123887322199286887293992492734670694110432114285735937415696539646224576925614203920728910062581104721029216708886000911827426656984071899386114628291604805019182526082314012607264699953974649152087150529633570654694475083821503605750467446115360927519979389321359455551029573215736744035992855552250028708039821653252854359444969160583796348547262058707897006047798931896226479517783043348786363097123204617058809299915365598233407760190837946461403756532687562183151831419460825434510820694544166188540055229749489791168622390305126193980278022422360185873036980632840820354291537473825779995741674707467271262276952605922674842729184586973971801962095124415365736166498135549924175013874792133413160965207072127645614561427692286466130479685950033995371893571849978598757911944919962879008771780091980302991930990182255413884934005359513508171389101756262850517258078592002209384726243069898581261523209841255035211359841400597288048704064391470036552885015258394405984303106466447430357329133741961486579203362089265207887451260428668776975442821830818466666065140087253141586981661149520961428477927844089803854640731155378628453147127937659283171200747414494376059156024948750668766952389524042461812373929860803936871443141130673288685447695108006659764868393532529733343910414423631860996070084006528184617244056854211017697596447530387963488385784752460357446465684110399578388425260738135620451329814311840827815505325219248723828656529777398397031110110850209216026862536653799127781039622934373929637162257788624542965072541491165000636334434483028562544179915636203261799461205068975804382762105111390717615946434636217506580322}
19767 120482847836030262476878136861071818092421886586460013131763532766379606: {79052,296385,316144,355662,651849,770289,967897,1086305,1303566,1382710,1659252,1935598,1975300,2189697,2269985,2370360,2528384,2666655,2723982,2765140,2780097,2844432,3199986,3318168,3691193,3732939,3950200,3959097,4443975,4740240,4900569,5056256,5222885,5250574,5332770,5688288,5934817,6075249,6267462,6292913,6399324,6671782,7500820,7713257,8411473,8478310,8561518,9000984,9395764,9483877,9818097,9928805,10060057,10126107,10173972,10189553,10633569,10883593,11290708,11317558,11331609,11613313,11914566,12016390,12230740,12377049,12783353,13072929,13422520,13652169,13737173,14242894,14371510,14419668,14676888,15039897,15100335,15386289,15547990,16018324,16049638,16107024,16167940,16271374,16424169,16511499,16575269,16821238,17115009,17147377,17245812,17526785,17746997,17919897,18120402,18494097,18657588,18677269,18690305,19107352,19296969,19401528,19568878,19640697,20213097,20726713,20781718,21032142,21292457,21495771,21543697,21698529,21728134,21826719,22034662,22268769,22360177,22428366,22594753,22817233,22883320,23244820,23419733,23593492,24030340,24997569,25053913,25487284,25743735,25937044,26699638,26809089,26943735,27145222,27459984,27710854,27893784,27955540,28389129,28522085,28739984,28836408,29018638,29609590,29747093,30776710,30892482,31308193,31322017,31380507,31607686,31917963,31943110,32075875,32094897,32332482,32440959,32539444,33546648,34226502,34550889,34828385,34884897,35182414,35531508,36331126,36390169,36884409,36932052,36970633,37052920,37110785,37266449,37289428,37532849,37680485,37739979,37777537,37997575,38142340,38331732,38480689,38491050,38547113,38583937,38765697,38881924,38964622,39096969,39538329,39927448,39997477,40830838,40853624,40904374,41057120,41519697,41684535,41721172,41794062,41849169,42019588,42274054,42384353,42608377,42791585,42836289,44138254,44463504,44488805,44532942,44725990,44833318,44918379,45016993,45184918,45216582,45597090,45608824,45770808,45818857,45938068,45960327,46189260,46484920,47393339,48393249,48436385,48636896,49268544,49587844,49608118,50021442,50619457,51309927,51349902,51417793,51492159,51787369,52295535,52815190,53386566,53606449,53671188,53967910,54282250,54284932,54491374,54519953,54530097,54714675,54716508,54744009,55064697,55119910,55224886,55227749,55427112,55596137,55781904,55812129,56210068,56223793,56620369,57367918,57393185,57409809,57575957,58047369,58123662,58362320,58434820,59002089,59554553,59637489,59730358,60869110,61222209,61282805,61483444,61749249,62069518,62355501,62729249,62754642,62958004,63378228,63508073,63567608,64309990,64671766,64761492,65121166,65138700,65154785,65317209,65455510,65482997,65657610,65701657,65839569,66143892,66696987,67688038,67704770,68026929,68450518,68547598,68638609,68871822,69395206,69481280,70034784,70121784,70136677,70164598,70357684,70426657,70868740,71110072,71133369,71513559,71633809,72164049,72298805,72313510,72369897,72782353,73042932,73088535,73089609,73395574,73453990,73539366,73566577,73865624,74304628,75195257,75341849,75446097,75942022,76622518,77171988,77200633,77480137,77612977,77844820,77873009,77921332,77961104,78166440,78185742,78297729,78546612,78789132,78887007,78984244,79105429,79401175,79716489,79817649,79998831,80455928,81245724,81549185,81618449,82740849,82937953,83098827,83377536,83577169,83744169,84443473,84539524,84672238,84845049,85042488,85065877,85896329,86279158,86341569,86581803,86758566,86776212,87706242,87937245,88144788,88229409,88670740,88985686,88986135,89021697,89322553,89918857,90024718,90503097,90512919,90718606,90991108,91553007,91628278,91866808,92101126,92114497,92236753,92495377,92672134,93003413,93156009,93253929,93413784,93799728,93859510,93978469,94550113,94782353,94860052,94918544,94963685,95281410,95495585,95672799,95819086,95888697,95993812,96180369,96374697,96558305,96721100,96915317,97479238,97859022,97925140,98119924,98147062,98149685,98927175,99087593,99208805,99630958,99930313,99952449,...,564868488240903080789772305499624346454532288347656503021143023910941134472598401197340888290662833139662623185050556051072674127142733737082986492677005602340005895116658714028324160477773484944148141836439723537575098548779872732512619638213333540113018535820697586979029700446418200329784625008149132458605564362885883246617851147250199335268022773232616324261827658591541005696888222107117738709026479068418800014208291898756747862659475663949393771222420986998055089331872696607120498018096686205565892969746106832967939415665450980872823027434873931038741934095666389936329616911358585451315365961142138329144515584788439416743774171592332234650343055173610053417645095064522213955829654739807843546740335407206649215985823628464561633179759521003112214994913736079096071531535889036563197456570354707722356412013261610362980456600803627418116848926886830342876102276943952844038291168453346494857888630460465784255002541854835857580089811371274772702742476659796966361006384685911017424542643409224093223515879531939805831891570024028696780541161084854388962569770036203869501698217094110556869403556274614660463199083759837358638709273766383130533016603038967764779875458459628245365565115164116412876803896868171394620426765591703877011556918076713925658217384551494032594555591126125912870887958247652738858894905978803075290979951685038521098431666243956902381572568664309166006185229203311634283861445927632113298842133869534341195465796678845156542385874602867797854994583283259995671285587685830983298930330940988739102006041165648171428603906123544809469336865388421305881093365093871657081543825063329001367741139985476107849079171942437407207528773789123471018910897049930961973728130725794450355982041712625732255408625701169173041391279969083982039183326544359823605116053989283328375043062059732479879281539167453740875694522820893088061845509071698397844339719276674565023179544645684806925588213949873048397350111640286256919692105634799031343274727747129191238151766231041816249282810082844624234686752933585457689290970417033633540278809555470949261230531437306210738669993612512061200906893415428908884012264093776880460957702943142686623048604249747203324886262520812188200119741447810608191468421842141538429699195719528925050993057840357774967898136867917379944318513157670137970454487896485273383120827401008039270262257083652634394275775887117888003314077089364604847871892284814761882552817039762100895932073056096587205054829327522887591608976454659699671145535993700612942229868805043133897811831176890643003165463164232746227699999097710130879712380472491724281442142716891766134705781961096733067942679720691906488924756801121121741564088734037423126003150428584286063692718560894791205905307164711696009933028171542662009989647302590298794600015865621635447791494105126009792276925866085281316526546394671295581945232578677128690536169698526165599367582637891107203430676994721467761241723257987828873085742984794666097595546665166275313824040293804980698691671559434401560894455743386682936814447608812236747500954501651724542843816269873454304892699191807603463706574143157667086076423919651954326259870483}
19768 120952662388767217165331630021242226332553390968912054191989284859150704: {98815,118578,276626,335767,395180,474216,513578,533493,572431,808807,869132,1027052,1162831,1398487,1738088,1955349,2074065,2103727,2212336,2469125,2488878,2639666,2903397,2919596,2962950,3110546,3160480,3456425,3555540,3631976,3706796,3739207,3792576,3855487,4085973,4147710,4266648,4424224,4435807,4799979,4937750,4977252,5278796,5925300,6051127,6157226,6320320,6390578,6534092,6739087,7110360,7538431,7584384,7875861,7999155,8100332,8356616,8532432,8674231,8716178,9013567,9239431,9376025,9401193,9598986,9802831,10007673,10700527,10796906,11027378,11251230,11259247,11744705,12001312,12371287,12717465,12842277,13090796,13095146,13501476,13553066,13565296,14093646,14113385,14178092,14695346,15108812,15260958,15288425,15337831,15555487,15886088,16206727,16502732,16718933,16742378,16778150,16936062,16976337,17430572,17501431,17648426,17871849,18024585,18202892,18251887,18346110,19105231,19226224,19228466,19569184,19636231,20022905,20053196,20133780,20209925,20482087,20515052,21025586,21364341,21428167,21476032,21557265,21629502,21898892,21951247,22015332,22784431,22820012,22994416,23321985,23884190,23893196,24027486,24074457,24128527,24160536,24251910,24407061,24658796,24876784,25147486,25154167,25231857,25729292,25868704,25868718,26172607,26187596,26375431,26950796,27083047,27180603,27385231,27586327,27986382,28042856,28604150,28661028,28779626,28931372,29056025,29102292,29353317,29383231,29491865,29680447,29691692,29872946,29904488,30037925,30862831,31058887,31172577,31548213,31859105,32132047,32265578,32421305,32520127,32592201,33051993,33100087,33330092,33581407,33642549,34210226,34324980,34443247,34867230,34936517,34944425,35204431,35390238,35745452,35746921,35924980,36045510,36149431,36613312,36900247,37087231,37191712,37273927,37739407,37851626,37852172,38230926,38448544,38905566,39907721,40049457,40130887,40608146,40674305,40717833,40947367,41189976,41398447,41566281,41840676,41933310,41937367,42082346,42295207,42384487,42557284,42793196,42829807,43109976,43254612,43527957,44330431,44414385,44728864,44767831,45009578,45352373,45635336,46067852,46165065,46255466,46316150,46338723,46513196,46611785,46671007,47354431,47375344,47411529,47677925,47914665,47956337,48033247,48498723,48602405,48623431,48809166,48875287,48937106,49179212,49242736,49460431,49710127,49909310,50319972,51067030,51108976,51321400,51339753,51390866,51687596,51928231,52129292,52151465,52171447,52524485,52717772,52773621,53217578,53297262,53297887,53419826,54496689,54961087,55359596,55398078,55579380,55621657,55725416,55741927,55798892,55934142,56236178,56284231,56436266,56515567,57011030,57035666,57115052,57213510,57422585,57434431,57497598,57736575,57965647,58031786,58106150,58322886,58446933,59092087,59166607,59284672,59377256,59463967,59891172,60202327,60275767,60288776,60407786,60641887,60796120,61027744,61246257,61280436,61356561,61585680,61657447,61984805,62176178,62221313,62581758,62691093,63029382,63083767,63153578,63154327,63295231,63411081,63932906,64321706,64524332,64550407,64632421,64688431,65578567,65691392,65850007,66187687,66207381,66695256,66799413,67088985,67249977,67520407,67717831,67777377,67824873,67856165,68215966,68395635,68413236,68466536,68501047,68656212,68907102,69186953,69283890,69727380,70162447,70262585,70398937,70726207,71182088,71345767,71561584,71599466,71836231,71976746,72018967,72563287,72623407,72706796,72729578,72743431,72952900,72955344,72992012,73043525,73220647,73419596,73667378,73902816,73927831,74044687,74335567,74375872,74381766,74412177,74416172,74797231,75032163,75254287,75532178,76043047,76487431,76546412,76854305,77024853,77396492,77416447,77498216,77578231,77953207,78640231,78669452,78697505,79222785,79263607,79401386,79459510,79516652,80079849,80279527,80329567,80383457,80506782,80951865,81022567,81156878,81423375,81427398,81508927,81557167,81629612,81737061,81764786,82035607,82074762,82130431,82332332,82506847,82667306,82679865,82693327,82837329,82847378,82970887,83027306,83053726,83140668,83291431,83672856,84315102,84504304,84625231,84802817,84841231,84927127,84969967,85353266,85531178,86051877,86348656,86584567,86680438,86783647,86851600,87089612,87185493,87292831,87543480,87652230,87676231,87786092,87940327,87947105,88006826,88191856,88237193,88348207,88530727,88585925,88603231,88887590,88929316,89067487,89137831,89242807,89595537,89825431,89992831,90059287,90092407,90644431,90702572,90975026,91175647,91303665,91829096,91840106,91947847,92005231,92021321,92090767,92147431,92203807,92225166,92332030,92508727,92529578,92531881,92698231,92701586,92880785,93040807,93104277,93169327,93379712,93470431,93495712,93519607,93761167,93902647,94128958,94131963,94399231,94437006,94464247,94549927,94676287,94759087,94844492,94921231,95067342,95094578,95174887,95351412,95398231,95628487,96037087,96067831,96218732,96246247,96289231,96387007,96464985,96493196,96559231,96584647,96856231,96869621,96962431,97007649,97012831,97135447,97142238,97170727,97237831,97277431,97306025,97329847,97365127,97390576,97398607,97401665,97436407,97451380,97452812,97459346,97488247,97493647,97519567,97529431,97543687,97561687,97605247,97628431,97650607,97655431,97681749,97691431,97708050,98052488,98183265,98486415,98730305,99215838,...,753157984321204107719696407332832461939376384463542004028190698547921512630131201596454517720883777519550164246734074734763565502856978316110648656902674136453341193488878285371098880637031313258864189115252964716766798065039830310016826184284444720150691381094263449305372933928557600439712833344198843278140752483847844328823801529666932447024030364310155099015770211455388007595850962809490318278701972091225066685611055865008997150212634218599191694963227982664073452442496928809493997357462248274087857292994809110623919220887267974497097369913165241384989245460888519915106155881811447268420487948189517772192687446384585888991698895456442979533790740231480071223526793419362951941106206319743791395653780542942198954647764837952748844239679361337482953326551648105461428708714518715417596608760472943629808549351015480483973942134404836557489131902515773790501469702591937125384388224604461993143851507280621045673336722473114476773453081828366363603656635546395955148008512914548023232723524545632124298021172709253074442522093365371595707388214779805851950093026714938492668930956125480742492538075032819547284265445013116478184945698355177507377355470718623686373167277946170993820753486885488550502405195824228526160569020788938502682075890768951900877623179401992043459407454834834550494517277663536985145193207971737433721306602246718028131242221658609203175430091552412221341580305604415512378481927903509484398456178492712454927287728905126875389847832803823730473326111044346660895047450247774644398573774587984985469341388220864228571471874831393079292449153851228407841457820125162209442058433417772001823654853313968143798772229256583209610038365052164628025214529399907949298304174301059267141309388950167643007211500934892230721855039958778642718911102059146431473488071985711104500057416079643306505708718889938321167592697094524117415794012095597863792452959035566086697572726194246409234117618599830731196466815520381675892922807513065375124366303662838921650869021641389088332377080110459498979582337244780610252387960556044844720371746073961265681640708583074947651559991483349414934542524553905211845349685458369173947943603924190248830731472332996271099848350027749584266826321930414144255291229122855384572932260959371900067990743787143699957197515823889839925758017543560183960605983861980364510827769868010719027016342778203512525701034516157184004418769452486139797162523046419682510070422719682801194576097408128782940073105770030516788811968606212932894860714658267483922973158406724178530415774902520857337553950885643661636933332130280174506283173963322299041922856955855688179607709281462310757256906294255875318566342401494828988752118312049897501337533904779048084923624747859721607873742886282261346577370895390216013319529736787065059466687820828847263721992140168013056369234488113708422035395192895060775926976771569504920714892931368220799156776850521476271240902659628623681655631010650438497447657313059554796794062220221700418432053725073307598255562079245868747859274324515577249085930145082982330001272668868966057125088359831272406523598922410137951608765524210222781435231892869272435013160644}
19769 121424295998796312254680237848972022726710902017515236704771385364970379: {158104,177867,414939,493975,592770,632288,711324,770367,1086415,1283815,1303698,1520827,1540578,1935794,2172610,2607132,2765420,3177979,3318504,3649495,3733317,3871196,3950600,3959499,4125451,4362319,4379394,4444425,4539970,4633495,4665819,4740720,5056768,5333310,5447964,5530280,5560194,5688864,6221565,6399972,6598495,6636336,6726907,7312039,7382386,7406625,7437079,7465878,7900400,7918194,8167615,8620699,8887950,8892367,9235839,9480480,9585867,9801138,10112512,10125415,10445770,10501148,10665540,11376576,11869634,12042199,12150498,12534924,12585826,12784651,12798648,13074267,13151239,13216687,13343564,13900327,14398479,14407279,15001640,15107599,15353311,15375547,15426514,16195359,16363495,16541067,16772359,16822946,16876845,16956620,17123036,17718391,17722615,17748799,18001968,18791528,18886015,18967754,19636194,19642719,19834879,19857610,20120114,20252214,20329599,20347944,20379106,20628415,20978287,21140469,21267138,21294619,21767186,21788215,22043019,22581416,22635116,22663218,22753615,22891437,23226626,23422111,23754967,23829132,24032780,24461480,24537499,24562159,24754098,25034887,25066495,25113567,25167225,25404093,25566706,25643815,26145858,26166427,26472639,26715259,26845040,27304338,27373615,27474346,27519165,28485788,28525015,28743020,28839336,28842699,29353776,29866495,30079794,30200670,30258919,30772578,30823495,31095980,31538379,32036648,32099276,32139151,32161615,32214048,32335880,32444253,32542748,32734495,32848338,33022998,33093847,33150538,33246751,33642476,33674191,33688495,34230018,34294754,34491624,35053570,35493994,35826285,35839794,36041229,36164215,36240804,36377865,36988194,37114615,37315176,37354538,37380610,37721229,37925287,38214704,38593938,38803056,38803077,38977807,39137756,39281394,39930919,40426194,41453426,41563436,41662615,41979573,42064284,42584914,42814651,42906225,42991542,43087394,43169439,43397058,43456268,43653438,44042167,44069324,44537538,44681815,44720354,44809419,44856732,44906225,45043351,45189506,45555679,45634466,45766640,46489640,46839466,47186984,47315215,48060680,48398367,48759739,48768907,49654399,49995138,50090599,50107826,50974568,51315339,51487470,51649447,51874088,51955099,52300845,52752679,53085357,53196605,53399276,53491495,53618178,53858827,53887470,54008767,54068265,54290444,54919968,55129327,55421708,55787568,55911080,56368087,56777439,56778258,57044170,57346389,57479968,57584815,57667951,57672816,58037276,58141495,58358349,59219180,59494186,59908219,60203407,60219967,60912219,61474015,61553420,61784964,61787959,62136859,62284327,62616386,62644034,62761014,62899965,63123519,63215372,63835926,63886220,64151750,64173079,64189794,64349599,64609495,64664964,64881918,65078888,65161615,65897215,66147799,66528187,66560971,67093296,67158919,67514367,67790767,67810939,68453004,69101778,69199495,69383199,69474225,69656770,69748615,69769794,70093567,70364828,70733707,70979611,71063016,71393815,71993647,72662252,72780338,73186879,73213749,73405659,73416667,73768818,73864104,73941266,74105840,74134567,74221570,74494591,74532898,74578856,74863965,75065698,75360970,75479958,75555074,75995150,76284680,76600545,76663464,76961378,76982100,77086299,77094226,77167874,77531394,77763848,77882719,77929244,78193938,78281467,79076658,79826367,79854896,79945893,79994954,80129739,80350459,80655415,80791051,81661676,81707248,81808748,82114240,83039394,83097117,83210767,83369070,83442344,83588124,83698338,83901213,84039176,84354267,84548108,84654399,84768706,85216754,85516545,85553499,85583170,85672578,85795927,85820265,86246397,86795767,87047679,87135319,87159225,87484329,88276508,88927008,88977610,89040367,89065884,89095759,89161399,89451980,89666636,89836758,90033986,90369836,90433164,90611679,90883495,91191125,91194180,91216699,91217648,91240015,91541616,91637714,91774495,91876136,91920654,92378520,92540479,92969840,93012967,93020215,93264267,93291451,93665359,93872637,94544073,94730367,94786678,95367151,95683015,95899359,96458167,96482559,96745615,96786498,96872770,97026127,97273792,98336815,98537088,99175688,99216236,99395815,...,1129736976481806161579544610999248692909064576695313006042286047821882268945196802394681776581325666279325246370101112102145348254285467474165972985354011204680011790233317428056648320955546969888296283672879447075150197097559745465025239276426667080226037071641395173958059400892836400659569250016298264917211128725771766493235702294500398670536045546465232648523655317183082011393776444214235477418052958136837600028416583797513495725318951327898787542444841973996110178663745393214240996036193372411131785939492213665935878831330901961745646054869747862077483868191332779872659233822717170902630731922284276658289031169576878833487548343184664469300686110347220106835290190129044427911659309479615687093480670814413298431971647256929123266359519042006224429989827472158192143063071778073126394913140709415444712824026523220725960913201607254836233697853773660685752204553887905688076582336906692989715777260920931568510005083709671715160179622742549545405484953319593932722012769371822034849085286818448186447031759063879611663783140048057393561082322169708777925139540072407739003396434188221113738807112549229320926398167519674717277418547532766261066033206077935529559750916919256490731130230328232825753607793736342789240853531183407754023113836153427851316434769102988065189111182252251825741775916495305477717789811957606150581959903370077042196863332487913804763145137328618332012370458406623268567722891855264226597684267739068682390931593357690313084771749205735595709989166566519991342571175371661966597860661881977478204012082331296342857207812247089618938673730776842611762186730187743314163087650126658002735482279970952215698158343884874814415057547578246942037821794099861923947456261451588900711964083425251464510817251402338346082782559938167964078366653088719647210232107978566656750086124119464959758563078334907481751389045641786176123691018143396795688679438553349130046359089291369613851176427899746096794700223280572513839384211269598062686549455494258382476303532462083632498565620165689248469373505867170915378581940834067267080557619110941898522461062874612421477339987225024122401813786830857817768024528187553760921915405886285373246097208499494406649772525041624376400239482895621216382936843684283076859398391439057850101986115680715549935796273735834759888637026315340275940908975792970546766241654802016078540524514167305268788551551774235776006628154178729209695743784569629523765105634079524201791864146112193174410109658655045775183217952909319399342291071987401225884459737610086267795623662353781286006330926328465492455399998195420261759424760944983448562884285433783532269411563922193466135885359441383812977849513602242243483128177468074846252006300857168572127385437121789582411810614329423392019866056343085324019979294605180597589200031731243270895582988210252019584553851732170562633053092789342591163890465157354257381072339397052331198735165275782214406861353989442935522483446515975657746171485969589332195191093330332550627648080587609961397383343118868803121788911486773365873628895217624473495001909003303449085687632539746908609785398383615206927413148286315334172152847839303908652519740966}
19770 121897755659413987407047925991659793033743559272924510326692929103689514: {138341,197630,217349,237156,335801,375269,553252,611909,671534,790360,848261,889155,948432,1027156,1045001,1066986,1144862,1202249,1398629,1437881,1617614,1634021,1738264,1751609,1955547,2054104,2143049,2310867,2325662,2796974,2903691,3258915,3273701,3390281,3456775,3476176,3778361,3894629,3910698,4126949,4148130,4207454,4424672,4436261,4474889,4667909,4838995,4938250,4977756,5130341,5245769,5279332,5476409,5706761,5806794,5839192,5925900,5975141,6090041,6221092,6320960,6548921,6569091,6739781,6777929,6809955,6854201,6912850,7111080,7120901,7263952,7349189,7413592,7425221,7478414,7539209,7585152,7691081,7710974,7999965,8171946,8295420,8340291,8533296,8848448,8871614,8901449,9599958,9691301,9875500,9954504,10028729,10557592,10701641,10813541,11073579,11198817,11260421,11631941,11743241,11850600,11877291,12076709,12102254,12314452,12640640,12781156,13036421,13068184,13126435,13183589,13331925,13367369,13478174,13697669,13954121,14063909,14220720,14392841,14465849,14611769,14701707,15076862,15121481,15168768,15375749,15593381,15668655,15751722,15998310,16136201,16200664,16208441,16244549,16442587,16679455,16713232,17064864,17180549,17348462,17432356,17804451,18027134,18182501,18225747,18360761,18467621,18478862,18716681,18752050,18802386,18878739,19000841,19142729,19197972,19461509,19605662,19673669,19758739,19991369,20015346,20378789,20695049,21195775,21401054,21403795,21465401,21593812,22054756,22058021,22502460,22518494,22579001,22786889,22821509,23132729,23139771,23489410,23615561,23822009,24002624,24336869,24473861,24742574,25234419,25259081,25434930,25684554,25701029,26181592,26190292,26209289,26715749,27002952,27086009,27106132,27119621,27130592,28032067,28187292,28226770,28291001,28293895,28356184,28390949,28451631,28590629,28723589,29088569,29390692,29419529,29454291,29518661,29683721,29786415,30040975,30180171,30217624,30378321,30521916,30568659,30576850,30604361,30675662,30866249,31062329,31094981,31110974,31772176,31900707,32070821,32168009,32413454,32523749,32650779,32846309,33005464,33103781,33328649,33424901,33437866,33484756,33556300,33617189,33777209,33872124,33952674,33994827,34064741,34447109,34478921,34839939,34861144,35002862,35208389,35296852,35334821,35607235,35743698,35928775,36049170,36405784,36503774,36529541,36692220,36904421,36935609,37131147,37278149,37309241,37774661,38053049,38210462,38350059,38452448,38456932,38869975,39138368,39218787,39272462,39435269,39770681,39892409,39983621,40045810,40074761,40106392,40124095,40267560,40419850,40678435,40771109,40952069,40956507,40964174,41030104,41211519,41288611,41343161,41403209,41433221,41583161,41852549,42051172,42053095,42240521,42728682,42834761,42856334,42952064,43114530,43259004,43631909,43749509,43797784,43902494,44030664,44335589,44602747,45119691,45121721,45301005,45324581,45389827,45555941,45568862,45640024,45671429,45757961,45988361,45988832,46158867,46504889,46643970,46676489,46790729,47189561,47360009,47388389,47768380,47786392,47982521,48054972,48123461,48148914,48257054,48321072,48503820,48741221,48814122,48922195,49272507,49299461,49317592,49466309,49534497,49725807,49753568,50294972,50308334,50461349,50463714,50626181,50872889,51228101,51345027,51391589,51442131,51458584,51737408,51737436,51799049,51934469,51954295,51961529,52177721,52345214,52375192,52527941,52580355,52581701,52750862,53064101,53144249,53240991,53251001,53598259,53703269,53759691,53901592,54166094,54320335,54361206,54600869,54653381,54770462,54915461,55086655,55124549,55172654,55482291,55515209,55748741,55972764,56031807,56070915,56085712,56548169,56675671,56944027,57161801,57208300,57322056,57441509,57466889,57542981,57559252,57862744,57890907,57972809,57998021,58112050,58204584,58600709,58706634,58750661,58766462,58922091,58950149,58983730,59124281,59360894,59383384,59421881,59471369,59570249,59745892,59808976,60075850,60307769,60429989,60639291,60649481,61086521,61255781,61304069,61448741,61665209,61725662,61761209,62024549,62117774,62180139,62345154,62453381,62690501,63096426,63115301,63326729,63718210,63877371,64142789,64235429,64264094,64487313,64531156,64558661,64581689,64631091,64842610,65040254,65095587,65184402,65256499,65405369,65480157,65518949,65609669,65722889,65881061,66061349,66103986,66200174,66218681,66487481,66660184,66749095,66806307,66821861,67080531,67154441,67162814,67285098,67595081,67726649,67784259,67857929,67863055,68043367,68076089,68184869,68250041,68315141,68420452,68451699,68510009,68531621,68639561,68649960,68790341,68886494,69277135,69602021,69734460,69750281,69873034,69888850,70003529,70192709,70259199,70297529,70408862,70443941,70610789,70780476,71490904,71493842,71723621,71849960,71866169,71988041,72091020,72170309,72298862,72546595,72892901,73012051,73052069,73226624,73289861,73428041,73534279,73585481,73722821,73800494,73840229,73879301,73957349,73958467,74023975,74074181,74174462,74229509,74383424,74547854,74692421,74826569,74941241,74992707,75161739,75478814,75566789,75703252,75704344,75848249,76016261,76072121,76109321,76461852,76516409,76773449,76897088,76901381,76941775,76992521,77119781,77156069,77231205,77427209,77811132,77981861,78035129,78282761,78651269,78668729,78721061,79019215,79033541,79119881,79815442,79857775,80056421,80098914,80106809,80261774,80391619,80427267,80507321,80540489,80831205,81083141,81216292,81343109,81348610,81423929,81435666,81488441,81568901,81584969,81766399,81809081,81894734,82142309,82379952,82472009,82674341,82705349,82796894,82982981,83132562,83181881,83227589,83303609,83318789,83394569,83545529,83681352,83710661,83770469,83866620,83874734,83934281,84156101,84164692,84259001,84478181,84550841,84590414,84652229,84768974,84868169,85068089,85114568,85167387,85238201,85280549,85379081,85491209,85566255,85586392,85659614,86071481,86219952,86396729,86450489,86509224,86597669,86611001,86778727,86915429,86967941,87046469,87055914,87319049,87778121,87803321,87953849,87956035,87966341,88140389,88214501,88374089,88580741,88629029,88660862,88828770,88904201,89081381,89093129,89163449,89221829,89241279,89457728,89464841,89535662,89545061,89715641,90019156,90117689,90238469,90282149,90434021,90466361,90658889,90704746,90733061,90785801,90827815,90942821,91015481,91200521,91270672,91281929,91382969,91503161,91934009,91972409,92058341,92105801,92135704,92162489,92302949,92330130,92367881,92510932,92523941,92587529,92632300,92677446,92802569,92820281,92934629,93026392,93056261,93193349,93223570,93320009,93342014,93436601,93486089,93640901,93665081,93705221,93800741,93918521,93924579,93965129,93966051,94019141,94133561,94141521,94305509,94357001,94415369,94458809,94487609,94501961,94708862,94750688,94779619,94823058,94843589,94937669,94944329,94998631,95017061,95114681,95159621,95355850,95439161,95469221,95564069,95753889,95829330,95830841,95869061,95912674,95991881,96054281,96059429,96066494,96085049,96227625,96253961,96284691,96306629,96339641,96498821,96581129,96602309,96664649,96676901,96717221,96787781,96806921,96877829,96928229,96997446,97000889,97030949,97101701,97183241,97204810,97206281,97217609,97246862,97248101,97295909,97298489,97318841,97322877,97350821,97362761,97383749,97411555,97412921,97417289,97419461,97449029,97490441,97508921,97512521,97514309,97538501,97562681,97573349,97598981,97618332,97632569,97642469,97647689,97648709,97669961,97670789,97690121,97706501,97710089,97711109,97713221,97750574,97874212,98358424,98367619,98485472,98920862,99420254,99818620,...,1694605464722709242369316916498873039363596865042969509063429071732823403417795203592022664871988499418987869555151668153218022381428201211248959478031016807020017685349976142084972481433320454832444425509319170612725295646339618197537858914640000620339055607462092760937089101339254600989353875024447397375816693088657649739853553441750598005804068319697848972785482975774623017090664666321353216127079437205256400042624875696270243587978426991848181313667262960994165267995618089821361494054290058616697678909238320498903818246996352942618469082304621793116225802286999169808988850734075756353946097883426414987433546754365318250231322514776996703951029165520830160252935285193566641867488964219423530640221006221619947647957470885393684899539278563009336644984741208237288214594607667109689592369711064123167069236039784831088941369802410882254350546780660491028628306830831858532114873505360039484573665891381397352765007625564507572740269434113824318108227429979390899083019154057733052273627930227672279670547638595819417495674710072086090341623483254563166887709310108611608505094651282331670608210668823843981389597251279512075916127821299149391599049809116903294339626375378884736096695345492349238630411690604514183861280296775111631034670754230141776974652153654482097783666773378377738612663874742958216576684717936409225872939855055115563295294998731870707144717705992927498018555687609934902851584337782896339896526401608603023586397390036535469627157623808603393564983749849779987013856763057492949896790992822966217306018123496944514285811718370634428408010596165263917643280095281614971244631475189987004103223419956428323547237515827312221622586321367370413056732691149792885921184392177383351067946125137877196766225877103507519124173839907251946117549979633079470815348161967849985125129186179197439637844617502361222627083568462679264185536527215095193533019157830023695069538633937054420776764641849619145192050334920858770759076316904397094029824183241387573714455298693125448747848430248533872704060258800756373067872911251100900620836428666412847783691594311918632216009980837536183602720680246286726652036792281330641382873108829428059869145812749241609974658787562436564600359224343431824574405265526424615289097587158586775152979173521073324903694410603752139832955539473010413911363463689455820149362482203024117810786771250957903182827327661353664009942231268093814543615676854444285647658451119286302687796219168289761615164487982568662774826929363979099013436607981101838826689606415129401693435493530671929009496389492698238683099997293130392639137141417475172844326428150675298404117345883290199203828039162075719466774270403363365224692266202112269378009451285752858191078155682684373617715921494135088029799084514627986029968941907770896383800047596864906343374482315378029376830777598255843949579639184013886745835697736031386071608509095578496798102747913673321610292030984164403283725169773963486619257228954383998292786639995498825941472120881414942096075014678303204682683367230160048810443342826436710242502863504955173628531448809620362914678097575422810391119722429473001258229271758955862978779611449}
19771 122373048390611702274237288119531766279358488288268495710097032012516559: {296445,316208,355734,691565,829878,987950,1007301,1185540,1264576,1283945,1422648,1520981,1540734,1600479,1717293,1797341,2172830,2426421,2567630,2607396,3041654,3081156,3488493,3871588,4195461,4345220,4875533,5109293,5214264,5530840,5866047,6222195,6311181,6355958,6486893,6599165,6637008,7298990,7407375,7466634,7742392,7776365,7901200,7918998,7949981,8250902,8710191,8724638,8758788,8888850,9079940,9237893,9266990,9326141,9331638,9481440,10113536,10369275,10509161,10666620,10895928,11060560,11120388,11217621,11377728,11434661,11566461,12257919,12344375,12401993,12443130,12799944,13196990,13218029,13272672,13307421,13453814,14058221,14175581,14399937,14624078,14764772,14813250,14874158,14931756,15109133,15393065,15619721,15800800,15808661,15836388,15976445,16102253,16335230,17102789,17241398,17775900,17784734,18153381,18171101,18471678,18940349,18960960,19171734,19602276,19836893,20217261,20225024,20250830,20891540,21002296,21331080,21790445,22423493,22615293,22753152,22908893,23627583,23739268,23997465,24084398,24300996,24424121,24564653,24792521,24811661,25037429,25069848,25171652,25569302,25597296,26022693,26148534,26256101,26302478,26433374,26440421,26549669,26687128,26965193,26992265,27040701,27568445,27620861,27718293,27800654,28128075,28203579,28796958,28814558,28879781,29408493,30003280,30023019,30215198,30328421,30503501,30706622,30751094,30853028,31855061,32101581,32345741,32390718,32570549,32726990,32737865,33082134,33544718,33645892,33753690,33777741,33854381,33882665,33913240,34235693,34246072,34708181,34815689,35093093,35137421,35234115,35436782,35445230,35497598,35901341,35996549,36003936,36738365,37113861,37583056,37772030,37935508,37982633,38152395,38323061,38526831,38594441,39272388,39285438,39669758,39715220,39775301,39935021,40240228,40504428,40659198,40695888,40758212,41256830,41813093,41855945,41945375,41956574,42280938,42340155,42534276,42589238,43152893,43534372,43576430,44086038,44121065,45026261,45162832,45270232,45326436,45507230,45782874,45828293,45865275,46013493,46064681,46453252,46666461,46844222,47163893,47509934,47658264,48065560,48071165,48149789,48620181,48922960,49074998,49124318,49198589,49508196,50069774,50132990,50156799,50227134,50320901,50334450,50599133,50629901,50808186,50929011,51133412,51287630,51960461,52291716,52304393,52332854,52504293,52563965,52945278,53104361,53430518,53615547,53690080,54073755,54608676,54747230,54755661,54948692,55038330,55496093,56643341,56971576,57050030,57315693,57486040,57635981,57678672,57685398,58096709,58327661,58707552,58908693,59364701,59710475,59732990,60068715,60159588,60401340,60517838,60629775,60631901,61446261,61545156,61646990,62191960,62554541,62689973,62868715,63076758,63651341,64073296,64093023,64198552,64278302,64284501,64323230,64428096,64671760,64671795,64888506,65085496,65152841,65468990,65696676,65853741,66045996,66187694,66241301,66301076,66493502,66956021,67284952,67304669,67348382,67376990,68060381,68153033,68353293,68460036,68589508,68983248,69965955,70100741,70107140,70740989,70987988,71149481,71510375,71652570,71679588,71722853,71949065,72001061,72082458,72223371,72328430,72385581,72481608,72755730,73221183,73929893,73976388,74042021,74229230,74475247,74630352,74682365,74709076,74761220,74888093,75442458,75462501,75695571,75850574,76429408,77187876,77606112,77606154,77955614,78275512,78339869,78517821,78562788,78624221,79019693,79126293,79544861,79632149,79861838,80116361,80618741,80663945,80799389,80852388,81249141,81398093,81541809,82155693,82758981,82906852,83126872,83253941,83325230,83594381,83959146,84128568,85083401,85169828,85525565,85629302,85812450,85983084,86063621,86174788,86338878,86794116,86912536,87168075,87306876,88059951,88084334,88138648,88149693,88475595,89041341,89075076,89363630,89440708,89618838,89713464,89758181,89812450,90086702,90113775,90379012,90453293,91111358,91226261,91268932,91533280,91717193,92256101,92514461,92588493,92979280,93000269,93176661,93517731,93674981,93678932,94373968,94629065,94630430,94644639,95015741,95310461,95480333,95577315,96121360,96396141,96796734,96879293,97263915,97386533,97519478,97537814,97560381,97648061,97776603,98922581,99155979,99300261,99308798,99337193,99577613,99951341,99990276,...,2259473952963612323159089221998497385818129153390626012084572095643764537890393604789363553162651332558650492740202224204290696508570934948331945970708022409360023580466634856113296641911093939776592567345758894150300394195119490930050478552853334160452074143282790347916118801785672801319138500032596529834422257451543532986471404589000797341072091092930465297047310634366164022787552888428470954836105916273675200056833167595026991450637902655797575084889683947992220357327490786428481992072386744822263571878984427331871757662661803923491292109739495724154967736382665559745318467645434341805261463844568553316578062339153757666975096686369328938601372220694440213670580380258088855823318618959231374186961341628826596863943294513858246532719038084012448859979654944316384286126143556146252789826281418830889425648053046441451921826403214509672467395707547321371504409107775811376153164673813385979431554521841863137020010167419343430320359245485099090810969906639187865444025538743644069698170573636896372894063518127759223327566280096114787122164644339417555850279080144815478006792868376442227477614225098458641852796335039349434554837095065532522132066412155871059119501833838512981462260460656465651507215587472685578481707062366815508046227672306855702632869538205976130378222364504503651483551832990610955435579623915212301163919806740154084393726664975827609526290274657236664024740916813246537135445783710528453195368535478137364781863186715380626169543498411471191419978333133039982685142350743323933195721323763954956408024164662592685714415624494179237877347461553685223524373460375486628326175300253316005470964559941904431396316687769749628830115095156493884075643588199723847894912522903177801423928166850502929021634502804676692165565119876335928156733306177439294420464215957133313500172248238929919517126156669814963502778091283572352247382036286793591377358877106698260092718178582739227702352855799492193589400446561145027678768422539196125373098910988516764952607064924167264997131240331378496938747011734341830757163881668134534161115238221883797044922125749224842954679974450048244803627573661715635536049056375107521843830811772570746492194416998988813299545050083248752800478965791242432765873687368566153718796782878115700203972231361431099871592547471669519777274052630680551881817951585941093532483309604032157081049028334610537577103103548471552013256308357458419391487569139259047530211268159048403583728292224386348820219317310091550366435905818638798684582143974802451768919475220172535591247324707562572012661852656930984910799996390840523518849521889966897125768570867567064538823127844386932271770718882767625955699027204484486966256354936149692504012601714337144254770874243579164823621228658846784039732112686170648039958589210361195178400063462486541791165976420504039169107703464341125266106185578685182327780930314708514762144678794104662397470330551564428813722707978885871044966893031951315492342971939178664390382186660665101255296161175219922794766686237737606243577822973546731747257790435248946990003818006606898171375265079493817219570796767230413854826296572630668344305695678607817305039481932}
19772 122850181239177115070245098829727842303505152788760208083823403184155847: {256867,276682,375307,395260,434698,474312,533601,671602,750538,1106504,1223818,1244817,1343068,1438027,1481925,1580720,1696522,1778310,1896864,2054312,2090002,2133972,2289724,2311101,2404498,2797258,2875762,3196267,3235228,3259245,3268042,3476528,3503218,3851445,3911094,4108208,4286098,4475347,4562481,4621734,4651324,4706971,4839485,5284771,5431525,5515387,5593948,5807382,6434971,6517830,6547402,6774593,6778627,6780562,6913550,6952352,7556722,7789258,7821396,8253898,8296260,8414908,8487187,8849344,8872522,8940067,8949778,9335818,9533937,9617227,9677990,9876500,9955512,10067227,10260682,10403971,10491538,10558664,10948485,10952818,11199951,11349925,11413522,11613588,11678384,11851800,11878497,11950282,12077971,12180082,12376353,12442184,12641920,13086957,13097842,13138182,13184971,13333275,13479562,13555858,13619910,13708402,13825700,13900485,13997457,14222160,14241802,14527904,14698378,14827184,14850442,14956828,15078418,15170304,15382162,15421948,15999930,16137907,16246267,16343892,16590840,16680582,17066592,17696896,17743228,17802898,18377009,18455965,18664695,19199916,19382602,19751000,19795485,19909008,20057458,20180721,20416147,21115184,21403282,21627082,21936117,22147158,22219875,22311237,22397634,22520842,22823971,23135227,23263882,23351237,23486482,23652547,23701200,23754582,23858971,24153418,24204508,24373771,24502845,24628904,25281280,25562312,25862097,26072842,26114425,26136368,26252870,26272609,26367178,26663850,26677101,26718667,26734738,26920771,26956348,27122587,27395338,27707517,27908242,28127347,28127818,28227427,28441440,28757601,28785682,28931698,29223538,29403414,29674085,29965313,30153724,30242962,30337536,30376245,30751498,31098427,31186762,31337310,31464565,31503444,31684867,31996620,32074387,32272402,32365771,32401328,32416882,32489098,32885174,33332371,33358910,33426464,34129728,34361098,34482787,34696924,34864712,35608902,35717371,36054268,36126597,36365002,36451494,36721522,36935242,36939787,36957724,37313467,37433362,37504100,37604772,37757478,38001682,38285458,38353953,38395944,38566285,38704507,38923018,38980771,39211324,39222801,39347338,39453717,39517478,39611453,39650061,39896971,39982738,40030692,40757578,40805971,41257771,41390098,41437987,41527987,41700981,42057365,42391550,42780427,42802108,42807590,42930802,43187624,43195437,43221837,44109512,44116042,45004920,45036988,45158002,45322797,45573778,45643018,46059933,46126641,46265458,46279542,46367107,46538971,46978820,47231122,47393971,47419385,47644018,48005248,48241771,48586077,48673738,48947722,49090485,49485148,49623201,49644025,49850129,50300285,50317077,50468838,50518162,50630535,50869860,50947765,51369108,51397747,51402058,51967771,52363184,52380584,52418578,52614907,53155173,53167845,53246397,53431498,53736307,54005904,54172018,54212264,54239242,54261184,54417965,54607507,54900241,55157371,55547971,56064134,56091787,56173733,56374584,56453540,56582002,56587790,56658045,56712368,56781898,56903262,56939227,56949809,57181258,57447178,57473971,58005187,58066565,58177138,58607971,58781384,58839058,58874333,58908582,58928157,59037322,59367442,59504637,59572830,59577667,59947387,60081950,60360342,60435248,60756642,60988797,61043832,61137318,61153700,61208722,61335907,61351324,61732498,61885245,62124658,62189962,62221948,62712133,62934861,63343397,63421407,63544352,63801414,63883857,63916765,64141642,64174147,64336018,64382371,64589947,64826908,64865707,65047498,65301558,65364645,65692618,65753971,66010928,66092371,66129057,66207562,66657298,66849802,66875732,66969512,67112600,67234378,67554418,67744248,67888627,67905348,67989654,68084971,68129482,68260845,68491073,68540587,68674311,68685865,68863867,68894218,68957842,69679878,69722288,70005724,70266333,70327771,70416778,70593704,70669642,71214470,71264901,71446867,71487396,71753587,71857550,72098340,72736013,72811568,72902707,73007548,73059082,73378771,73384440,73612497,73686477,73791547,73808842,73871218,74262294,74433067,74556298,74618482,75008707,75104661,75199485,75340701,75501675,75549322,75577147,75858667,76048469,76106098,76212279,76420924,76700118,76904896,76912027,76913864,76931445,77121317,77739950,77885971,78046027,78276736,78311347,78437574,78499281,78544924,78679771,78870538,79417917,79541362,79559827,79784818,79967242,80091620,80118187,80145777,80149522,80212784,80218771,80248190,80535120,80568547,80839700,81354787,81356870,81451771,81542218,81596707,81904138,81913014,81928348,82060208,82120845,82423038,82557495,82577222,82686322,82806418,82866442,82876345,82964347,83166322,83239747,83330971,83705098,84102344,84106190,84481042,85307371,85391827,85457364,85575045,85669522,85712668,85736885,85904128,86138971,86229060,86518008,86528097,86624107,87263818,87405461,87409627,87448147,87499018,87595568,87633925,87639667,87804988,87979867,88061328,88166347,88671178,88714987,88734985,89107027,89205494,89351971,89599485,89797507,90239382,90243442,90296467,90602010,90620107,90649162,90776757,90779654,91111882,91137724,91153771,91280048,91306771,91342858,91515922,91517947,91976722,91977664,92317734,92327371,92470485,92950027,93009778,93054427,93287940,93352978,93386345,93448733,93451525,93581458,93918787,93988771,94149547,94373107,94379122,94615137,94720018,94776778,94819147,94960771,95008277,95118307,95308747,95491987,95536760,95572784,95580907,95650747,95702371,95869771,95965042,96076627,96109944,96137827,96182971,96246922,96297828,96300187,96357067,96417453,96484845,96507547,96514108,96633017,96642144,96686467,96839971,96949771,96987989,97007640,97022347,97032427,97129267,97165987,97316971,97332759,97411507,97438147,97482442,97499707,97533187,97628244,97658467,97667971,97682371,97690147,97709587,97732771,97776349,97844390,98203485,98545014,98598922,98635184,98932618,99068994,99281541,99451614,99507136,99740253,...,3389210929445418484738633832997746078727193730085939018126858143465646806835590407184045329743976998837975739110303336306436044762856402422497918956062033614040035370699952284169944962866640909664888851018638341225450591292679236395075717829280001240678111214924185521874178202678509201978707750048894794751633386177315299479707106883501196011608136639395697945570965951549246034181329332642706432254158874410512800085249751392540487175956853983696362627334525921988330535991236179642722988108580117233395357818476640997807636493992705885236938164609243586232451604573998339617977701468151512707892195766852829974867093508730636500462645029553993407902058331041660320505870570387133283734977928438847061280442012443239895295914941770787369799078557126018673289969482416474576429189215334219379184739422128246334138472079569662177882739604821764508701093561320982057256613661663717064229747010720078969147331782762794705530015251129015145480538868227648636216454859958781798166038308115466104547255860455344559341095277191638834991349420144172180683246966509126333775418620217223217010189302564663341216421337647687962779194502559024151832255642598298783198099618233806588679252750757769472193390690984698477260823381209028367722560593550223262069341508460283553949304307308964195567333546756755477225327749485916433153369435872818451745879710110231126590589997463741414289435411985854996037111375219869805703168675565792679793052803217206047172794780073070939254315247617206787129967499699559974027713526114985899793581985645932434612036246993889028571623436741268856816021192330527835286560190563229942489262950379974008206446839912856647094475031654624443245172642734740826113465382299585771842368784354766702135892250275754393532451754207015038248347679814503892235099959266158941630696323935699970250258372358394879275689235004722445254167136925358528371073054430190387066038315660047390139077267874108841553529283699238290384100669841717541518152633808794188059648366482775147428910597386250897495696860497067745408120517601512746135745822502201801241672857332825695567383188623837264432019961675072367205441360492573453304073584562661282765746217658856119738291625498483219949317575124873129200718448686863649148810531052849230578195174317173550305958347042146649807388821207504279665911078946020827822726927378911640298724964406048235621573542501915806365654655322707328019884462536187629087231353708888571295316902238572605375592438336579523230328975965137325549653858727958198026873215962203677653379212830258803386870987061343858018992778985396477366199994586260785278274282834950345688652856301350596808234691766580398407656078324151438933548540806726730449384532404224538756018902571505716382156311365368747235431842988270176059598169029255972059937883815541792767600095193729812686748964630756058753661555196511687899159278368027773491671395472062772143217018191156993596205495827346643220584061968328806567450339547926973238514457908767996585573279990997651882944241762829884192150029356606409365366734460320097620886685652873420485005727009910347257062897619240725829356195150845620782239444858946002516458543517911725957559222898}
19773 123329161278795641906298519108589912333265047638288688933525204998307627: {415023,494075,592890,632416,652047,711468,968191,1007403,1125807,1383130,1659756,1678835,1797523,1835727,1975900,2014602,2371080,2389871,2529152,2544783,2567890,2667465,2845296,2862155,3041962,3081468,3135003,3200958,3434586,3594682,3606747,4044035,4195887,4313643,4345660,4852842,4902063,4993967,5135260,5214792,5254827,5704571,5814155,5866641,6083308,6162312,6429147,6932601,6976986,6992435,7743176,8390922,8690440,8711073,9238831,9725411,9751066,9776745,9821103,10170843,10218586,10370325,10428528,10435583,10518635,10886911,11021803,11061680,11335083,11490347,11683887,11732094,12345625,12380847,12444390,12622362,12711916,12973786,13198330,13274016,13308783,13424667,13861051,14003727,14516985,14597980,14814750,14933268,15391023,15484784,15552730,15621307,15737307,15747491,15802400,15837996,15899962,16429227,16501804,17120283,17282125,17420382,17449276,17517576,17777700,17925423,18159880,18270123,18475786,18533980,18585587,18652282,18663276,18682963,18696035,18962880,19277435,19646763,19707273,19756091,20212387,20219343,20227072,20333787,20429865,20562603,20738550,21018322,21333240,21362703,21550291,21791856,21843371,22047567,22121120,22179035,22240776,22275663,22367023,22435242,22617627,22755456,22869322,23073243,23132922,23999895,24010643,24515838,24688750,24803986,24886260,25020873,25061551,25599888,26258767,26393980,26436058,26545344,26614842,26704347,26847011,26907628,26967931,27297547,28116442,28351162,28799874,29073903,29248156,29529544,29626500,29748316,29863512,30086187,30218266,30255635,30506623,30786130,31239442,31601600,31617322,31672776,31952890,32104923,32204506,32440623,32670460,33220737,33596451,33695435,33781263,34205578,34482796,34895823,35229723,35551800,35569468,35631873,36230127,36306762,36342202,36401263,36943356,37216771,37692155,37789171,37880698,37921920,38343468,38492467,38558927,38595823,39109263,39204552,39379305,39550767,39673786,39995775,40009723,40102107,40246067,40434522,40450048,40501660,41093007,41118671,41526043,41783080,41862363,42004592,42191727,42662160,43178523,43371155,43397547,43580890,43835307,44105121,44846986,45067835,45230586,45364443,45506304,45817786,45833011,46127247,46197155,46780143,46880125,47005965,47255166,47324027,47435731,47478536,47994930,48168796,48408603,48601992,48625323,48733647,48848242,49014155,49129306,49327761,49585042,49623322,50038365,50074858,50139696,50343304,51138604,51194592,51433711,51541647,52045386,52297068,52512202,52604956,52866748,52880842,53099338,53374256,53413353,53502635,53930386,53984530,54081402,54547503,54677241,55082283,55136890,55241722,55402863,55436586,55601308,56150043,56241007,56256150,56296235,56407158,56636217,57002523,57233171,57428187,57593603,57593916,57629116,57759562,58143787,58384527,58457851,58598323,58723525,58816986,59021007,59276217,59572811,59974107,60006560,60046038,60430396,60656842,61007002,61136367,61413244,61479947,61502188,61706056,61769491,61856435,62085147,62748587,63587325,63710122,64203162,64211385,64396203,64691482,64781436,65141098,65453980,65475730,65503091,66164268,66174063,67089436,67291784,67299631,67507380,67555482,67708762,67737003,67765330,67826480,68360667,68464527,68471386,68492144,68659747,69398187,69416362,69419313,69631378,70158283,70186186,70274842,70468230,70566925,70846683,70873564,70890460,70995196,71466027,71655883,71802682,71993098,72007872,73010607,73421583,73476730,73589551,74227722,75166112,75218303,75544060,75703257,75777243,75871016,75965266,76304790,76442125,76622447,76646122,76689155,77053662,77103087,77188882,77777435,77896883,78347887,78544776,78570876,78627867,79129843,79339516,79430440,79550602,79870042,80147247,80480456,80573807,81008856,81033635,81258027,81318396,81358863,81391776,81516424,81643727,82513660,82752847,82897067,83594665,83602987,83626186,83711890,83890750,83913148,84096201,84469327,84561876,84680310,84873003,84881685,85068552,85092163,85172847,85178476,85354893,85771887,85922687,86170767,86305786,87068744,87152860,87265707,87507155,88016201,88172076,88242130,88258587,88362873,88555983,88594643,89051163,89359245,90052522,90122925,90325664,90540464,90540513,90652872,91014460,91134963,91259435,91565748,91656586,91705977,91730550,91813083,92026986,92129362,92142691,92598747,92906504,93186987,93284943,93332922,93688444,94007563,94141487,94327786,94811411,95019868,95316528,95490187,95526155,95702121,96131120,96142330,96212463,96299578,96504027,96945203,97240362,97571247,97845920,97875371,97952337,98149996,98181155,98187707,98248636,98397178,98538927,99016392,99311343,99985947,...,5083816394168127727107950749496619118090790595128908527190287215198470210253385610776067994615965498256963608665455004459654067144284603633746878434093050421060053056049928426254917444299961364497333276527957511838175886939018854592613576743920001861017166822386278282811267304017763802968061625073342192127450079265972949219560660325251794017412204959093546918356448927323869051271993998964059648381238311615769200127874627088810730763935280975544543941001788882982495803986854269464084482162870175850093036727714961496711454740989058827855407246913865379348677406860997509426966552202227269061838293650279244962300640263095954750693967544330990111853087496562490480758805855580699925602466892658270591920663018664859842943872412656181054698617835689028009934954223624711864643783823001329068777109133192369501207708119354493266824109407232646763051640341981473085884920492495575596344620516080118453720997674144192058295022876693522718220808302341472954324682289938172697249057462173199156820883790683016839011642915787458252487024130216258271024870449763689500663127930325834825515283953846995011824632006471531944168791753838536227748383463897448174797149427350709883018879126136654208290086036477047715891235071813542551583840890325334893104012262690425330923956460963446293351000320135133215837991624228874649730054153809227677618819565165346689885884996195612121434153117978782494055667062829804708554753013348689019689579204825809070759192170109606408881472871425810180694951249549339961041570289172478849690372978468898651918054370490833542857435155111903285224031788495791752929840285844844913733894425569961012309670259869284970641712547481936664867758964102111239170198073449378657763553176532150053203838375413631590298677631310522557372521519721755838352649938899238412446044485903549955375387558537592318913533852507083667881250705388037792556609581645285580599057473490071085208615901811163262330293925548857435576151004762576312277228950713191282089472549724162721143365896079376346243545290745601618112180776402269119203618733753302701862509285999238543351074782935755896648029942512608550808162040738860179956110376843991924148619326488284179607437438247724829923976362687309693801077673030295473723215796579273845867292761475760325458937520563219974711083231811256419498866618419031241734090391068367460448087446609072353432360313752873709548481982984060992029826693804281443630847030563332856942975353357858908063388657504869284845493463947705988324480788091937297040309823943305516480068819245388205080306480592015787028489168478094716049299991879391177917411424252425518532979284452025895212352037649870597611484117486227158400322811210090095674076798606336808134028353857258574573234467048053120853147764482405264089397253543883958089906825723312689151400142790594719030123446946134088130492332794767531848738917552041660237507093208094158214825527286735490394308243741019964830876092952493209851175509321890459857771686863151994878359919986496477824416362644244826288225044034909614048050101690480146431330028479310130727508590514865520885594346428861088744034292726268431173359167288419003774687815276867588936338834347}
19774 123809995610152398311149131601120453870265512351835921922043407025389698: {217393,454273,513734,553364,750614,790520,869396,889335,927169,948624,1067202,1343204,1501076,2074695,2213008,2221693,2447636,2469875,2489634,2686136,2876054,2963850,3021903,3161440,3393044,3556620,3740353,3793728,3851835,3856669,4108624,4180004,4267944,4553053,4562943,4579448,4622202,4801437,4808996,5151879,5392023,5432075,5594516,5751524,6052993,6167869,6392534,6419075,6470456,6518490,6536084,6741169,6775279,6855613,6953056,7006436,7279263,7426753,7604135,7702890,7768573,7822188,8216416,8572196,8950694,9124962,9243468,9302648,9413942,9678970,10465479,10569542,10815793,10863050,11030774,11187896,11374333,11614764,11819869,12486013,12586383,12869942,13035660,13094804,13370173,13549186,13557254,13561124,13827100,13904704,14140033,14468893,14626599,14687773,15113444,15327879,15578516,15642792,15669169,15889895,16211869,16320193,16507796,16592520,16829816,16974374,17598141,17698688,17745044,17880134,17899556,18247475,18257713,18364669,18666585,18671636,18933543,19067874,19234454,19324033,19355980,19460679,19753000,19797495,19854493,19911024,20134454,20521364,20594113,20627255,20807942,20983076,21117328,21811595,21896970,21905636,21958333,22062769,22222125,22399902,22699850,22827044,23167475,23227176,23329095,23356768,23703600,23756994,23849943,23900564,24155942,24360164,24752706,24884368,25060093,25264573,25283840,25838351,26130573,26173914,26195684,26276364,26282653,26369942,26666550,26959124,27111716,27192769,27239820,27416804,27651400,27713679,27796273,27800970,27978423,27994914,28444320,28483604,28796353,29055808,29396756,29654368,29700884,29913656,30156836,30340608,30676669,30764324,30843896,31049447,31107825,31265053,31527483,31999860,32142769,32275814,32492534,32687784,32992475,33181680,33361164,33496513,33634535,33652863,34133184,34303983,34699383,35393792,35486456,35605796,35973169,36560195,36754018,36773757,36911930,37033125,37185395,37205979,37329390,38399832,38765204,39502000,39590970,39654087,39818016,39922263,40114916,40144669,40361442,40832294,40838075,41051869,41412733,41543719,42041473,42174663,42230368,42309853,42399169,42526743,42806564,43103495,43199811,43254164,43818433,43872234,44050391,44294316,44439750,44461835,44521153,44622474,44795268,45041684,45327399,45479869,45647942,46179195,46270454,46527764,46687453,46702474,46858813,46859163,46972964,47305094,47402400,47425983,47509164,47717942,47929335,48050269,48134833,48306759,48306836,48409016,48747542,48976513,49005690,49257808,49810993,50473393,50562560,50627075,51124624,51308367,51458353,51724194,52145684,52228850,52272736,52505740,52545218,52594369,52734356,53317213,53327700,53354202,53437334,53469476,53841542,53912696,53992799,54245174,54460143,54513303,54666673,54790676,54981169,55415034,55816484,55840093,56254694,56255636,56454854,56821047,56882880,57515202,57571364,57683869,57863396,57987133,58447076,58806828,58880311,59114113,59188669,59348170,59486173,59510679,59930626,60210995,60298369,60307448,60485924,60651783,60675072,60737713,60752490,61319473,61502996,62196854,62373524,62674620,62929130,63006888,63107773,63178369,63248893,63369734,63923255,63993240,64148774,64159153,64544804,64575169,64644253,64731542,64802656,64833764,64882103,64978196,65371335,65756195,65770348,66083435,66387139,66664742,66717820,66852928,67270479,67348573,67546753,67612669,67845879,68259456,68722196,68726679,68965574,69237169,69393848,69501635,69729424,70090031,70190269,70253233,70420399,70566973,70754353,70882749,71065213,71217804,71326871,71434742,71992395,72036395,72047869,72108536,72253194,72652669,72730004,72902988,73190833,73272363,73309633,73443044,73693959,73870484,73879574,73899313,73915448,74074813,74114339,74365873,74377563,74434983,74626934,74866724,75008200,75112287,75209544,75285169,75342013,75514956,75537995,76003364,76074433,76130269,76185151,76570916,76707906,76766555,76791888,76877735,77132570,77177473,77409014,77502769,77846036,77961542,78068079,78251713,78422648,78445602,78694676,78768303,78778033,78907434,79034956,79222906,79300122,79321263,79649007,79793942,79965476,80061384,80163133,80363869,80563453,80895579,80976795,81106369,81122103,81293191,81398833,81515156,81544093,81592369,81611942,81817475,81832669,82515542,82705335,82729393,82780196,82862583,82875974,83053213,83055974,83154879,83401962,83861795,84114730,84136669,84313213,84384225,84610737,84783100,84792769,84964993,85007869,85050673,85263613,85560854,85604216,85615180,85861604,86375248,86390874,86443674,86639343,87294013,87830269,88167553,88219024,88225479,88232084,88425853,88571869,88591955,88608193,88613075,88743995,89319553,89483471,90002113,90009840,90069057,90073976,90102013,90135169,90316004,90645594,90783169,90971953,90985263,91147556,91286036,91510503,91818673,92119866,92164273,92253282,92277169,92416669,92530916,92559084,92734214,92850973,92982913,93077942,93367933,93566653,93712669,93832369,93957640,94430075,94462244,94534333,94619869,94787942,94838770,95205553,95288036,95430193,95565183,95609473,95831773,95864893,96010496,96088669,96160211,96298333,96304743,96453169,96483542,96650269,97037053,97037223,97172154,97225693,97242973,97347476,97420993,97454653,97544833,97550269,97571293,97581373,97618813,97639873,97683073,97711647,97738369,97749853,97751473,97752769,97895444,98180970,98213595,98970296,99174395,99246402,99288050,99700258,...,6778421858890836969477267665995492157454387460171878036253716286931293613671180814368090659487953997675951478220606672612872089525712804844995837912124067228080070741399904568339889925733281819329777702037276682450901182585358472790151435658560002481356222429848371043748356405357018403957415500097789589503266772354630598959414213767002392023216273278791395891141931903098492068362658665285412864508317748821025600170499502785080974351913707967392725254669051843976661071982472359285445976217160234466790715636953281995615272987985411770473876329218487172464903209147996679235955402936303025415784391533705659949734187017461273000925290059107986815804116662083320641011741140774266567469955856877694122560884024886479790591829883541574739598157114252037346579938964832949152858378430668438758369478844256492668276944159139324355765479209643529017402187122641964114513227323327434128459494021440157938294663565525589411060030502258030290961077736455297272432909719917563596332076616230932209094511720910689118682190554383277669982698840288344361366493933018252667550837240434446434020378605129326682432842675295375925558389005118048303664511285196597566396199236467613177358505501515538944386781381969396954521646762418056735445121187100446524138683016920567107898608614617928391134667093513510954450655498971832866306738871745636903491759420220462253181179994927482828578870823971709992074222750439739611406337351131585359586105606434412094345589560146141878508630495234413574259934999399119948055427052229971799587163971291864869224072493987778057143246873482537713632042384661055670573120381126459884978525900759948016412893679825713294188950063309248886490345285469481652226930764599171543684737568709533404271784500551508787064903508414030076496695359629007784470199918532317883261392647871399940500516744716789758551378470009444890508334273850717056742146108860380774132076631320094780278154535748217683107058567398476580768201339683435083036305267617588376119296732965550294857821194772501794991393720994135490816241035203025492271491645004403602483345714665651391134766377247674528864039923350144734410882720985146906608147169125322565531492435317712239476583250996966439898635150249746258401436897373727298297621062105698461156390348634347100611916694084293299614777642415008559331822157892041655645453854757823280597449928812096471243147085003831612731309310645414656039768925072375258174462707417777142590633804477145210751184876673159046460657951930274651099307717455916396053746431924407355306758425660517606773741974122687716037985557970792954732399989172521570556548565669900691377305712602701193616469383533160796815312156648302877867097081613453460898769064808449077512037805143011432764312622730737494470863685976540352119196338058511944119875767631083585535200190387459625373497929261512117507323110393023375798318556736055546983342790944125544286434036382313987192410991654693286441168123936657613134900679095853946477028915817535993171146559981995303765888483525659768384300058713212818730733468920640195241773371305746840970011454019820694514125795238481451658712390301691241564478889717892005032917087035823451915118445796}
19775 124292691361034524364640326247981010717968950231127230430156389650230162: {691705,770601,830046,988150,1086745,1125921,1185780,1264832,1304094,1422936,1600803,1679005,1876345,1936382,2014806,2251614,2350369,2390113,2766260,2824393,3059545,3319512,3357670,3595046,3671454,3734451,3951800,4007017,4029204,4241305,4314081,4445775,4742160,4779742,5058304,5089566,5135780,5225005,5334930,5661649,5690592,5724310,5901961,6011245,6083924,6162936,6270006,6375697,6401916,6869172,6933303,6993145,7189364,7189405,7213494,8028889,8088070,8139817,8170105,8391774,8627286,8691320,8758045,9588801,9705684,9777735,9789409,9804126,9987934,10193689,10270520,10396129,10429584,10509654,10715245,10869577,11409142,11554335,11628310,11733282,12166616,12324624,12858294,13426041,13579501,13687443,13742749,13865202,13953972,13984870,14120913,14516689,14518455,14726089,15486352,15854313,16294575,16368505,16546161,16581997,16781844,16951405,17283875,17380880,17422146,17600137,17968753,18477662,18891805,19304913,19450822,19473145,19492201,19502132,19553490,19642206,19758097,20323779,20335881,20341686,20425789,20437172,20634745,20740650,20857056,20871166,21037270,21147757,21773822,22043606,22080337,22123360,22181305,22275913,22374445,22670166,22980694,23339545,23367774,23464188,23762209,24013081,24194975,24691250,24761694,24888780,25244724,25423832,25461561,25651705,25814893,25947572,26174449,26228845,26396660,26548032,26617566,26820201,26849334,26849737,26988409,27382045,27722102,28007454,28533805,28601811,28698529,28851681,29033970,29195960,29629500,29866536,29875705,29880349,30201681,30450205,30782046,30969568,31050649,31105460,31211913,31242614,31474614,31494982,31604800,31675992,31799924,32139073,32420989,32744605,32845455,32858454,33003608,33599853,33684457,33698905,33889645,34049775,34240566,34271005,34564250,34840764,34898552,35035152,35555400,35604505,35635491,35850846,35999689,36233913,36319760,36540246,36745945,36951572,37067960,37126105,37129059,37171174,37304564,37326552,37365926,37392070,37696045,37925760,37936849,38455405,38554870,38989753,39260871,39293526,39414546,39512182,39554913,39999825,40424774,40438686,40454144,40667574,40859730,41125206,41477100,41549233,41701455,41992371,42036644,42357889,42666480,42725406,42766813,43100582,43475329,43583712,43686742,44095134,44242240,44358070,44481552,44507245,44551326,44734046,44870484,45235254,45382513,45510912,45569641,45738644,46146486,46265844,47173609,47934073,47999790,48021286,48413721,48456505,48594793,48738801,49031676,49377500,49607972,49669597,49772520,50041746,50057953,50123102,50143645,50587753,51199776,52517534,52769017,52787960,52872116,53090688,53229684,53408694,53508205,53694022,53815256,53935862,54067705,54595094,55131027,55146289,55367895,55994085,56232884,56302105,56416393,56702324,57599748,58147806,58159705,58496312,58716205,58845373,59059088,59253000,59386455,59496632,59727024,60025033,60172374,60221953,60238429,60383545,60436532,60511270,60542163,60719617,61013246,61248441,61572260,61912489,62478884,62755033,63094969,63203200,63234644,63345552,63564013,63905780,64209846,64369321,64409012,64676017,64881246,65182105,65340920,65632175,65706289,65808351,65917945,66168097,66441474,66581377,66659625,66836845,66933711,67179481,67192902,67390870,67562526,67811689,68411156,68471913,68488345,68619817,68965592,69405681,69770605,69791646,70053711,70319545,70459446,70755553,70957641,71103600,71138936,71263746,71576913,71964205,72015889,72329245,72460254,72613524,72684404,72802526,73058845,73121313,73209337,73508535,73886712,74114689,74157421,74433542,74903689,75370129,75384310,75578342,75607405,75761396,75843840,76686936,76878745,76984934,77117854,77191646,77586291,77906557,77966905,78218526,78343275,78409104,78758610,78814729,78817827,79101534,79347572,79561273,79991550,80019446,80031303,80156001,80204214,80492134,80681005,80762313,80869044,80900096,81003320,81042205,81222745,81367761,81474073,81652153,82186014,82212935,82237342,83052086,83122551,83236369,83397275,83566160,83724726,84009184,84382041,84383454,84678637,84682281,85199869,85324320,85902745,86272803,86357046,86599009,86742310,86795094,86822401,87161780,87670614,88210242,89022255,89123197,89494081,89693972,89895939,90135670,90461172,90553801,90728886,90912505,91012608,91128735,91635572,91657753,91666022,91803805,92254494,92338105,92394310,92568841,93041629,93295281,93560286,93583405,93760250,94011930,94393695,94510332,94648054,94832473,94871462,94957072,95004205,95054601,95713645,95989860,96223161,96337592,96488041,96817206,97097313,97203984,97250646,97307545,97467294,97696484,97969261,98028310,98258612,98299993,98368345,98655522,98793695,99170084,99246644,99956845,99997113,...,10167632788336255454215901498993238236181581190257817054380574430396940420506771221552135989231930996513927217330910008919308134288569207267493756868186100842120106112099856852509834888599922728994666553055915023676351773878037709185227153487840003722034333644772556565622534608035527605936123250146684384254900158531945898439121320650503588034824409918187093836712897854647738102543987997928119296762476623231538400255749254177621461527870561951089087882003577765964991607973708538928168964325740351700186073455429922993422909481978117655710814493827730758697354813721995018853933104404454538123676587300558489924601280526191909501387935088661980223706174993124980961517611711161399851204933785316541183841326037329719685887744825312362109397235671378056019869908447249423729287567646002658137554218266384739002415416238708986533648218814465293526103280683962946171769840984991151192689241032160236907441995348288384116590045753387045436441616604682945908649364579876345394498114924346398313641767581366033678023285831574916504974048260432516542049740899527379001326255860651669651030567907693990023649264012943063888337583507677072455496766927794896349594298854701419766037758252273308416580172072954095431782470143627085103167681780650669786208024525380850661847912921926892586702000640270266431675983248457749299460108307618455355237639130330693379771769992391224242868306235957564988111334125659609417109506026697378039379158409651618141518384340219212817762945742851620361389902499098679922083140578344957699380745956937797303836108740981667085714870310223806570448063576991583505859680571689689827467788851139922024619340519738569941283425094963873329735517928204222478340396146898757315527106353064300106407676750827263180597355262621045114745043039443511676705299877798476824892088971807099910750775117075184637827067705014167335762501410776075585113219163290571161198114946980142170417231803622326524660587851097714871152302009525152624554457901426382564178945099448325442286731792158752692487090581491203236224361552804538238407237467506605403725018571998477086702149565871511793296059885025217101616324081477720359912220753687983848297238652976568359214874876495449659847952725374619387602155346060590947446431593158547691734585522951520650917875041126439949422166463622512838997733236838062483468180782136734920896174893218144706864720627505747419096963965968121984059653387608562887261694061126665713885950706715717816126777315009738569690986927895411976648961576183874594080619647886611032960137638490776410160612961184031574056978336956189432098599983758782355834822848504851037065958568904051790424704075299741195222968234972454316800645622420180191348153597212673616268056707714517149146468934096106241706295528964810528178794507087767916179813651446625378302800285581189438060246893892268176260984665589535063697477835104083320475014186416188316429651054573470980788616487482039929661752185904986419702351018643780919715543373726303989756719839972992955648832725288489652576450088069819228096100203380960292862660056958620261455017181029731041771188692857722177488068585452536862346718334576838007549375630553735177872677668694}
19776 124777255686433894877861343499204825918249939658546240021646706957472018: {256919,335903,434786,454319,730343,908546,1027468,1106728,1163303,1245069,1320503,1482225,1501228,1556063,1581040,1738792,1752143,1778670,1854338,1897248,1956141,2134404,2686408,2904573,3002152,3022209,3274703,3377421,3391319,3457825,3507863,3779519,3895823,4149390,4360319,4426016,4443386,4553519,4895272,4939750,4979268,5036505,5247383,5372272,5392569,5507181,5708519,5752108,5927700,5976983,6043806,6091919,6322880,6419725,6741863,6780023,6786088,6856319,6970703,7113240,7169613,7237319,7480706,7541543,7587456,7604905,7634349,7693463,7703670,7713338,8002395,8217248,8360008,8535888,8564519,8586465,8828783,8986705,9017303,9106106,9125886,9158896,9244404,9393743,9405009,9602874,9617992,9694319,9806903,10303758,10645789,10704983,10784046,10816919,10820241,10864150,10928783,11189032,11375519,11503048,11746919,11858183,12105986,12132105,12335738,12587661,12785068,12838150,12940912,12940929,13036980,13072168,13482338,13550558,13711226,13906112,14012872,14068343,14558526,14706189,14853506,14981901,15126263,15208270,15405780,15537146,15644376,15707063,15764481,16213583,16249703,16321919,16432832,16574423,17113713,17114183,17144392,17442465,17599923,17652143,17901388,18249924,18473519,18486936,18605296,18827884,19113383,19287441,19357940,19361519,19891919,20490863,20797803,20930958,20977305,21139084,21631586,21726100,22061548,22169519,22245853,22375792,22690319,22748666,22932743,23229528,23312903,23639738,23726519,24344783,24377665,24972026,25172766,25546465,25739884,25879103,26071320,26116319,26133219,26189608,26522063,26740346,27098372,27114508,27122248,27195743,27229343,27654200,27716493,27799319,27809408,28133519,28280066,28300319,28400303,28878157,28937786,29176233,29197583,29253198,29330235,29375546,29463309,29528423,30023183,30226888,30512529,30536233,30655758,30712823,31110975,31157032,31268519,31285584,31306749,31338338,31555905,31779790,32146343,32178743,32423738,32434465,32640386,32660733,32995825,33015592,33065409,33114863,33185040,33436103,33532319,33659632,33948748,34005249,34171919,34471041,34744823,35051661,35196282,35346743,35397376,35441519,35490088,35760268,35799112,35977223,36008663,36165743,36494950,36515426,36541919,36635783,36694801,36729338,37036875,37142541,37333170,37343272,37867086,37942319,38135748,38343863,38468908,38648066,38711960,38713319,38774783,38881825,38921358,39234743,39506000,39594990,39692903,39708986,39749905,39822048,39926349,39997343,40088519,40268908,40274001,40331303,40694519,41042728,41056583,41188226,41254510,41447519,41537543,41583153,41597519,41615884,41687423,41956703,41966152,42011181,42234656,42582503,42849623,43550955,43623190,43793940,43811272,43916666,44125538,44444250,44555519,44788703,44799804,44905103,45399700,45514103,45654088,45774023,45860519,46090823,46173069,46189465,46334950,46454352,46521263,46630705,46658190,46713536,46807223,46863921,47088349,47211921,47242473,47376743,47407200,47490263,47513988,47699886,47801128,47999519,48311884,48720328,48758543,48898463,49287681,49505412,49678319,49768736,50120186,50529146,50567680,51184273,51360849,51464519,51676702,51846375,51953183,52059553,52261146,52347828,52391368,52545805,52552728,52565306,52627583,52739884,53083319,53163503,53333100,53430263,53776269,53802383,53918248,54223432,54357623,54385538,54479640,54673319,54752063,54810369,54833608,54935519,55144703,55302800,55427358,55592546,55601940,55756761,55769183,55846919,55956846,55989828,56048889,56088105,56414783,56888640,56967208,57173305,57310223,57564263,57592706,57716303,57832305,58019519,58111616,58145519,58697543,58793512,58940289,59121819,59146319,59268273,59308736,59401768,59592503,59715983,59827312,60313672,60330383,60344893,60637161,60658029,60681216,60745319,61001361,61289595,61351319,61353338,61471919,61528648,61687792,61687809,61721875,61784543,62009965,62098894,62119703,62215650,62246569,62530106,62714303,62974343,63054966,63139319,63421223,63678623,63999720,64088109,64190519,64285538,64551628,64583423,64606463,64650873,64652519,64928183,64985068,65375568,65530113,65612303,65984950,66090145,66142701,66356519,66363360,66537105,66722328,66826989,66958943,66993026,67092023,67101069,67246919,67269070,67305726,67852881,68168063,68266368,68276783,68341919,68607966,68817383,68881919,68924903,69219729,69267623,69398766,69629519,69841319,70199543,70220543,70291105,70787584,70877905,70888319,70972912,71095319,71211592,71465903,71813519,71946338,71999685,72031929,72782543,72982103,73120390,73220519,73508036,73547514,73811519,73823860,73967903,74066250,74104319,74259743,74370790,74411958,74453303,74626823,74658780,74914583,75029183,75062619,75184653,75295463,75545665,76047623,76103519,76474319,76678849,76695263,76799664,76965325,77513543,77530408,77693183,78067823,78098605,78335917,78368519,78754223,78776301,79004000,79043305,79118783,79181940,79308174,79582319,79636032,79844526,79882225,79972583,80113041,80140943,80174519,80229832,80289338,80511265,80541033,80591519,80722884,80888663,80903793,81166919,81410519,81620183,81664588,81676150,81844463,81892319,81892641,82103738,82554743,82825466,82833673,83019263,83065319,83087438,83172503,83264063,83340143,83747519,83896919,84082946,84163823,84295393,84349326,84460736,84619706,84631919,84733223,84798338,84891623,85053486,85318703,85459463,85513945,85613128,85945823,86206990,86399622,86508328,86610263,86955023,87221709,87436319,87636866,87744468,87818519,88100782,88193519,88255319,88273009,88378319,88585583,88588632,88658183,88742519,88879500,88923670,89042306,89123063,89240303,89244948,89298623,89492557,89506919,89541383,89590536,89882063,90083368,90160463,90258561,90477143,90509519,90584783,90654798,90702263,90744743,90766905,90855505,90959738,91059263,91295884,91519869,91745519,92007743,92058673,92065223,92103383,92179319,92245343,92301623,92358390,92413319,92516809,92540908,92848583,92998319,93055528,93102623,93366743,93374906,93404948,93483503,93508319,93631319,93688103,93712319,93717626,93718326,93736463,93945928,93966143,94012823,94066919,94181519,94427303,94528943,94610188,94701745,94804800,94851863,94851966,95018328,95164319,95209343,95228519,95342063,95416319,95435884,95489423,95626319,95696063,95858670,95947343,96016919,96100538,96111023,96182423,96269666,96271919,96314769,96334943,96344519,96377783,96405983,96551519,96595319,96613518,96613672,96629783,96667943,96672143,96730103,96770543,96782519,96818032,96841319,96852863,97058519,97098503,97165703,97208543,97281143,97302289,97311503,97321869,97399223,97448783,97453319,97475519,97482023,97495084,97511423,97552583,97565519,97570943,97591919,97600319,97646519,97696919,97712519,97728023,97736063,97750343,97757903,97758383,97765319,97953026,98011380,98515616,99184465,99621986,99662211,...,15251449182504383181323852248489857354272371785386725581570861645595410630760156832328203983847896494770890825996365013378962201432853810901240635302279151263180159168149785278764752332899884093491999829583872535514527660817056563777840730231760005583051500467158834848433801912053291408904184875220026576382350237797918847658681980975755382052236614877280640755069346781971607153815981996892178945143714934847307600383623881266432192291805842926633631823005366648947487411960562808392253446488610527550279110183144884490134364222967176483566221740741596138046032220582992528280899656606681807185514880950837734886901920789287864252081902632992970335559262489687471442276417566742099776807400677974811775761989055994579528831617237968543164095853507067084029804862670874135593931351469003987206331327399577108503623124358063479800472328221697940289154921025944419257654761477486726789033861548240355361162993022432576174885068630080568154662424907024418862974046869814518091747172386519597470462651372049050517034928747362374757461072390648774813074611349291068501989383790977504476545851861540985035473896019414595832506375261515608683245150391692344524391448282052129649056637378409962624870258109431143147673705215440627654751522670976004679312036788071275992771869382890338880053000960405399647513974872686623949190162461427683032856458695496040069657654988586836364302459353936347482167001188489414125664259040046067059068737614477427212277576510328819226644418614277430542084853748648019883124710867517436549071118935406695955754163111472500628572305465335709855672095365487375258789520857534534741201683276709883036929010779607854911925137642445809994603276892306333717510594220348135973290659529596450159611515126240894770896032893931567672117564559165267515057949816697715237338133457710649866126162675612776956740601557521251003643752116164113377669828744935856741797172420470213255625847705433489786990881776646572306728453014287728936831686852139573846268417649172488163430097688238129038730635872236804854336542329206807357610856201259908105587527857997715630053224348807267689944089827537825652424486122216580539868331130531975772445857979464852538822312314743174489771929088061929081403233019090886421169647389737821537601878284427280976376812561689659924133249695433769258496599855257093725202271173205102381344262339827217060297080941258621128645445948952182976089480081412844330892541091689998570828926060073576724190165972514607854536480391843117964973442364275811891120929471829916549440206457736164615240919441776047361085467505434284148147899975638173533752234272757276555598937853356077685637056112949611792834452352458681475200968433630270287022230395819010424402085061571775723719703401144159362559443293447215792268191760631651874269720477169938067454200428371784157090370340838402264391476998384302595546216752656124980712521279624282474644476581860206471182924731223059894492628278857479629553526527965671379573315060589455984635079759959489433473249087932734478864675132104728842144150305071440439293990085437930392182525771544596562656783039286583266232102878178805293520077501865257011324063445830602766809016503041}
19777 125263695768650216058518583411876881048598651728311273740236731062541151: {19777,652179,968387,1284335,1362819,1383410,1521443,1541202,1660092,1876535,1976300,2173490,2251842,2350607,2371560,2529664,2608188,2626883,2668005,2781507,2824679,2845872,3201606,3337919,3358010,3752690,3872764,4029612,4283363,4503228,4700738,4780226,5532520,5648786,5937827,6119090,6224085,6639024,6665079,6715340,7125779,7190092,7190135,7315007,7342908,7409625,7468902,7903600,8014034,8058408,8415743,8482610,8628162,8891550,9065709,9484320,9488687,9559484,9790403,10065167,10116608,10179132,10271560,10450010,10669860,11221059,11323298,11381184,11438147,11448620,11555505,11570007,11619203,11803922,12022490,12047087,12167848,12261263,12325872,12540012,12751394,12803832,13659159,13688829,13738344,13866606,13986290,14378728,14378810,14404311,14413127,14426988,14518163,15001343,15359543,15455637,15981335,16057778,16176069,16176140,16279634,16296225,16340210,16779167,16783548,17108003,17156087,17254572,17382640,17516090,17725583,18158979,18503607,19177602,19257225,19411368,19555470,19578818,19608252,19975868,20223507,20325837,20387378,20427863,20541040,20566839,20792258,20859168,21019308,21235799,21430490,21739154,21837789,22082579,22280259,22376735,22606223,22812405,22818284,22828823,22915907,23108670,23256620,23305719,23466564,23534855,23731967,24197425,24333232,24431567,24649248,25716588,26326079,26423855,26431583,26448527,26557763,26852082,27157625,27159002,27262403,27374886,27485498,27576935,27730404,27907944,27969740,28241826,28701443,28888643,29033378,29036910,29452178,29883383,30337667,30972704,31053827,31324223,31337927,31396437,31708626,32174855,32447379,32589150,32675363,32737010,33044399,33092322,33163994,33563688,33864743,33872965,33893135,33902810,34122999,34567750,34761760,34826303,34844292,35148179,35200274,35459607,35912387,35937506,36007523,36235223,36720383,36955324,37458039,37759149,37783610,38240183,38334863,38606207,38609826,38901644,38946290,38984402,39004264,39106980,39284412,39516194,39787427,39947327,40110519,40647558,40671762,40683372,40851578,40874344,41269490,41481300,41714112,41742332,41825987,42074540,42295514,42420099,42435935,42545087,42630287,42963623,43406679,43547644,43879797,44063319,44087212,44160674,44246720,44362610,44551826,44700335,44748890,44852999,45340332,45842447,45961388,45983637,46078799,46679090,46735548,46928376,47007507,47178467,47445503,47524418,47669685,47938979,47979407,48026162,48086135,48389950,48635607,48960579,49103639,49382500,49523388,49777560,49846307,50336135,50336303,50489448,50847664,50923122,51303410,51444323,51629786,51895144,51976547,52019855,52320407,52348898,52457690,52774463,52793320,52794423,53096064,53235132,53633879,53640402,53698668,53699474,53837567,53976818,54303287,54742425,54764090,54773139,55094007,55444204,55513079,55999755,56014908,56649359,56749625,56800629,57067610,57203622,57397058,57469103,57703362,57972099,58067940,58382037,58391920,59159399,59259000,59382983,59392485,59563479,59733072,59751410,59760698,60389855,60403362,60650579,60900410,61564092,61715879,61782339,61881765,61939136,62101298,62210920,62310143,62423826,62485228,62949228,62989964,63209600,63351984,63599848,64278146,64841978,65172887,65434785,65489210,65690910,65716908,65874999,65924855,66007216,66188307,66666375,66673919,67199706,67325303,67368914,67397810,67779290,67839107,68081219,68099550,68481132,68542010,69128500,69502425,69681528,69797104,69987285,70070304,70201103,70764767,71110800,71171399,71209010,71270982,71549829,71701692,71999378,72023303,72467826,72639520,73080492,73491890,73903144,73952579,74135920,74165039,74252210,74258118,74342348,74541863,74609128,74653104,74731852,74784140,74911487,75180279,75392090,75694787,75793719,75851520,75873698,76034183,76910810,77109740,77515053,77652887,77979506,78391719,78521742,78587052,78822947,78829092,78847959,79024364,79043879,79109826,79999650,80141087,80689535,80824403,80849548,80877372,80908288,81231335,81335148,81423587,81578307,81719460,82202687,82250412,82954200,83098466,83141037,83279423,83388819,83402910,83620199,83935269,83984742,84073288,84237203,84536963,84715778,85109687,85332960,85450812,85533626,85815263,86201164,86389059,86950658,87167424,87373484,87590087,88190268,88484480,88716140,88963104,89014490,89102652,89468092,89740968,89785823,90470508,90518543,90765026,91021824,91139282,91254947,91477288,91745447,91885045,92030007,92083079,92279825,92285123,92292972,92531688,93028883,93148341,93323475,93571583,93703847,93795159,94026959,94347218,94582449,94842179,95044823,95223383,95868146,95883683,95999580,96042572,96428307,96497999,96827442,96913010,97066343,97189586,97477602,97678847,98063352,98447363,98755000,98952899,98977425,99215944,99339194,99367607,99545040,99608279,...,20335265576672510908431802997986476472363162380515634108761148860793880841013542443104271978463861993027854434661820017838616268577138414534987513736372201684240212224199713705019669777199845457989333106111830047352703547756075418370454306975680007444068667289545113131245069216071055211872246500293368768509800317063891796878242641301007176069648819836374187673425795709295476205087975995856238593524953246463076800511498508355242923055741123902178175764007155531929983215947417077856337928651480703400372146910859845986845818963956235311421628987655461517394709627443990037707866208808909076247353174601116979849202561052383819002775870177323960447412349986249961923035223422322799702409867570633082367682652074659439371775489650624724218794471342756112039739816894498847458575135292005316275108436532769478004830832477417973067296437628930587052206561367925892343539681969982302385378482064320473814883990696576768233180091506774090872883233209365891817298729159752690788996229848692796627283535162732067356046571663149833009948096520865033084099481799054758002652511721303339302061135815387980047298528025886127776675167015354144910993533855589792699188597709402839532075516504546616833160344145908190863564940287254170206335363561301339572416049050761701323695825843853785173404001280540532863351966496915498598920216615236910710475278260661386759543539984782448485736612471915129976222668251319218834219012053394756078758316819303236283036768680438425635525891485703240722779804998197359844166281156689915398761491913875594607672217481963334171429740620447613140896127153983167011719361143379379654935577702279844049238681039477139882566850189927746659471035856408444956680792293797514631054212706128600212815353501654526361194710525242090229490086078887023353410599755596953649784177943614199821501550234150369275654135410028334671525002821552151170226438326581142322396229893960284340834463607244653049321175702195429742304604019050305249108915802852765128357890198896650884573463584317505384974181162982406472448723105609076476814474935013210807450037143996954173404299131743023586592119770050434203232648162955440719824441507375967696594477305953136718429749752990899319695905450749238775204310692121181894892863186317095383469171045903041301835750082252879898844332927245025677995466473676124966936361564273469841792349786436289413729441255011494838193927931936243968119306775217125774523388122253331427771901413431435632253554630019477139381973855790823953297923152367749188161239295773222065920275276981552820321225922368063148113956673912378864197199967517564711669645697009702074131917137808103580849408150599482390445936469944908633601291244840360382696307194425347232536113415429034298292937868192212483412591057929621056357589014175535832359627302893250756605600571162378876120493787784536352521969331179070127394955670208166640950028372832376632859302109146941961577232974964079859323504371809972839404702037287561839431086747452607979513439679945985911297665450576979305152900176139638456192200406761920585725320113917240522910034362059462083542377385715444354976137170905073724693436669153676015098751261107470355745355337388}
19778 125752018817394510105491675856490904312831730957603833274053024190422818: {375421,513838,671806,869572,908638,1202737,1460686,1556221,1817092,1909057,2054936,2075115,2213456,2311803,2326606,2470375,2490138,2641006,2964450,3002456,3112126,3162080,3260235,3377763,3477584,3504286,3547057,3557340,3708676,3794496,3912282,4268808,4802409,4840955,5037015,5286397,5372816,5401777,5629035,5809146,5977597,6004304,6044418,6436957,6549406,6551617,6754842,6780721,6782638,6915650,7015726,7051107,7170339,7559038,7694257,7791646,8298780,8394175,8473179,8720638,8852032,8886772,8987615,9107038,9178635,9790544,9879500,9958536,10073010,10407217,10494766,10519357,10646867,10744544,10785138,10967197,11014362,11203353,11417038,11504216,11855400,11949355,11953966,12021051,12087612,12183838,12581387,12645760,12723915,12839450,12942243,13189117,13337325,13483726,13519921,13560046,13572176,13712638,13850077,13941406,14226480,14310775,14339226,14474638,14617921,14961412,15083086,15174912,15209810,15268698,15386926,15407340,15426676,15675015,16004790,16251421,16434496,16720016,16984947,17071776,17129038,17172930,17331421,17657566,17705883,17973410,18033735,18034606,18212212,18251772,18317792,18488808,18617917,18787486,18810018,19127091,19150897,19205748,19235984,19388638,19613806,20220175,20317117,20607516,20799909,20844337,20979435,21291578,21409966,21568092,21568215,21633838,21640482,21728300,21857566,22378064,22751038,22935217,23006096,23493838,23716366,23969857,24086667,24211972,24264210,24381697,24419451,24484477,24510315,24671476,24969835,25175322,25406257,25570136,25676300,25712221,25881824,25881858,26073960,26144336,26274135,26929597,26964676,27101116,27232321,27422452,27812224,28025744,28136686,28236721,28522855,28536637,28736221,28766403,29035057,29070775,29117052,29233921,29333205,29368227,29412378,29707012,29963802,30026497,30252526,30416540,30581067,30811560,31074292,31188387,31288752,31414126,31528962,32145735,32182321,32376577,32427166,32499406,32608731,32643838,32865664,33148846,33439837,34128731,34227426,34228366,34288784,34663005,34780477,34884930,34962175,35199846,35304286,35350717,35765051,35802776,35823937,36012721,36499848,36947038,36973872,37210592,37655768,38226766,38348221,38574882,38715880,38723038,39269821,39727921,39783838,39910657,40001917,40278123,40366237,40603123,40738503,40910557,40981726,41062329,41228247,41362177,41542321,41595606,41861916,41954610,42260017,42278168,42362739,43263172,43366583,43452200,43504897,43550067,43555365,43769821,44123096,44178267,44339038,44491706,44751584,45380638,45408251,45497332,45692797,45865486,46194155,46459056,46555357,46625806,46812721,47069437,47279476,47410717,47453038,47495857,47562939,48258877,48343297,48627055,48689566,48755330,48883725,49105515,49638483,49745991,49944052,50345532,50595421,50842417,50854215,51006721,51092930,51416221,51479768,51758206,51851625,51986497,52142640,52177915,52232638,52266438,52379216,52593175,52800411,53044126,53276737,53480692,53835421,53906259,54196744,54229016,54244496,54390577,54391486,54434555,54458686,54784957,55109015,55177537,55308400,55432986,55598638,55618816,55649867,56267038,56560132,56600638,56675415,56800606,57113437,57342721,57451735,57571357,57756314,57875572,57914739,58352466,58395166,58419435,58476603,58506396,58660470,58704817,58751092,58926618,59056846,59274291,59377117,59599921,60046366,60453776,60971337,61007643,61025058,61072466,61277367,61311516,61425646,61648177,61728125,61792321,61904235,62151421,62221950,62314064,62537038,62571168,62613498,62676676,63111810,63443271,63559580,63710077,64268221,64292686,64357486,64407037,64614721,64665251,64847476,64868930,64959421,65165377,65280772,65282987,65321466,65643421,65991650,66031184,66130818,66229726,66241011,66370080,66543915,66827739,66856477,66872206,66989821,67064638,67123335,67319264,67897496,68010498,68176957,68343838,68826397,68942082,68955421,69222043,69305255,69404737,69489646,69723517,70018635,70103322,70229821,70392564,70418497,70693486,70794752,70883038,70980176,71286627,71520536,71598224,71954446,72017326,72039243,72208957,72331486,72584925,72989900,72991921,73030852,73083838,73271566,73389602,73408477,73458676,73467697,73564127,73880221,73997437,74073750,74285082,74666340,74686544,75734172,75884638,76058077,76271496,76384683,76687726,76937816,76955115,77162557,77296132,77423920,77426638,77444679,77549566,77763650,77842716,77918557,77972017,78106535,78469486,78523347,78686535,78737455,78765277,79012000,79026097,79189980,79233457,79385806,79417972,79499810,79644096,79852698,79994686,80042627,80177038,80460603,80537816,80548002,80549211,80652721,80662606,80900221,80965227,81389038,81535297,82085456,82113166,82146135,82376452,82509020,82895038,83075086,83166306,83184637,83195038,83231768,83367517,83374846,83819677,83913406,83932304,84022362,84264637,84469312,84845827,84918577,85165006,85175617,85345537,85387837,85472221,85598257,85601415,85699246,85805433,85972477,86095587,86095921,86177857,86410625,86502721,86555043,86813951,87020797,87099421,87101910,87246380,87488221,87587880,87622544,87833332,88251076,88683997,88888500,89111038,89148721,89428657,89577406,89599608,89627115,89641047,89669821,89772097,89810206,90339421,90437377,90605043,90759217,90799400,91028206,91197697,91308176,91350615,91441921,91548046,91721038,91974577,92032321,92181646,92260417,92346138,92378930,92526203,92578811,92648497,92669900,92863921,92908704,92917057,92927935,93042526,93151947,93178417,93261410,93316380,93414815,93427072,93480175,93614446,93635739,93727842,94036477,94176698,94423842,94443421,94484946,94552321,94595377,94753486,94806337,94814400,94909117,94980526,95027976,95225917,95302237,95399772,95602256,95753137,95770237,95920897,95937277,95969821,95999038,96081457,96204721,96249757,96387175,96395197,96417219,96423421,96451357,96623768,96651697,96689821,96788317,96893617,96918751,97014397,97086721,97116637,97155517,97211677,97247677,97262967,97291057,97417777,97440656,97467421,97500721,97517086,97573297,97649437,97709377,97719421,97748221,97769821,97777921,97786237,97788721,97791997,97796926,98233815,98407547,98536365,98575362,98780455,99010824,99229067,99356638,99537472,...,30502898365008766362647704496979714708544743570773451163141723291190821261520313664656407967695792989541781651992730026757924402865707621802481270604558302526360318336299570557529504665799768186983999659167745071029055321634113127555681460463520011166103000934317669696867603824106582817808369750440053152764700475595837695317363961951510764104473229754561281510138693563943214307631963993784357890287429869694615200767247762532864384583611685853267263646010733297894974823921125616784506892977221055100558220366289768980268728445934352967132443481483192276092064441165985056561799313213363614371029761901675469773803841578575728504163805265985940671118524979374942884552835133484199553614801355949623551523978111989159057663234475937086328191707014134168059609725341748271187862702938007974412662654799154217007246248716126959600944656443395880578309842051888838515309522954973453578067723096480710722325986044865152349770137260161136309324849814048837725948093739629036183494344773039194940925302744098101034069857494724749514922144781297549626149222698582137003978767581955008953091703723081970070947792038829191665012750523031217366490300783384689048782896564104259298113274756819925249740516218862286295347410430881255309503045341952009358624073576142551985543738765780677760106001920810799295027949745373247898380324922855366065712917390992080139315309977173672728604918707872694964334002376978828251328518080092134118137475228954854424555153020657638453288837228554861084169707497296039766249421735034873098142237870813391911508326222945001257144610930671419711344190730974750517579041715069069482403366553419766073858021559215709823850275284891619989206553784612667435021188440696271946581319059192900319223030252481789541792065787863135344235129118330535030115899633395430474676266915421299732252325351225553913481203115042502007287504232328226755339657489871713483594344840940426511251695410866979573981763553293144613456906028575457873663373704279147692536835298344976326860195376476258077461271744473609708673084658413614715221712402519816211175055715995431260106448697614535379888179655075651304848972244433161079736662261063951544891715958929705077644624629486348979543858176123858162806466038181772842339294779475643075203756568854561952753625123379319848266499390867538516993199710514187450404542346410204762688524679654434120594161882517242257290891897904365952178960162825688661785082183379997141657852120147153448380331945029215709072960783686235929946884728551623782241858943659833098880412915472329230481838883552094722170935010868568296295799951276347067504468545514553111197875706712155371274112225899223585668904704917362950401936867260540574044460791638020848804170123143551447439406802288318725118886586894431584536383521263303748539440954339876134908400856743568314180740681676804528782953996768605191092433505312249961425042559248564949288953163720412942365849462446119788985256557714959259107053055931342759146630121178911969270159519918978866946498175865468957729350264209457684288300610142880878587980170875860784365051543089193125313566078573166532464205756357610587040155003730514022648126891661205533618033006082}
19779 126242232069892989181898351422792276235166492935013775615380349660318241: {39554,770757,1007709,1086965,1304358,1362957,1798069,1936774,2191029,2271365,2568670,2627149,2725638,2766820,3042886,3082404,3320184,3338257,3489909,3693437,3735207,3753070,3952600,3961509,4346980,4446675,4503684,4635845,4668189,4701214,4743120,5059328,5216376,5253766,5256429,5336010,5563014,5649358,5691744,5868423,6296741,6403212,6675838,6716020,7505380,7717949,7745528,8059224,8566726,8713719,8896877,9006456,9066627,9401476,9560452,9824109,10066189,10132263,10173957,10373475,10523589,11065040,11108465,11297572,11338557,11687469,11875654,12238180,12349375,12448170,12791141,13080957,13157909,13278048,13330158,13430680,13660557,14251558,14380184,14380270,14630014,14685816,14819250,14937804,15109515,15383357,15742149,15807200,16028068,16108789,16116816,16177707,16521543,16831486,16965220,17125557,17157829,17256324,17757809,17783100,17930949,18131418,18275757,18701765,18948037,18968640,18977374,19118968,19259175,19283345,19580806,20130334,20218549,20225589,20233216,20340069,20358264,20543120,20568957,20900020,20912109,21305429,21339720,21508839,21711957,22373869,22442118,22624629,22646596,22762368,22765265,22814715,22831141,22876294,22897240,22903047,23080389,23111010,23140014,23140997,23238406,23434001,23607844,24007185,24044980,24094174,24335696,24522526,24651744,25080024,25502788,25607664,25693557,25759395,26486349,26728829,26960115,27051909,27160375,27305869,27318318,27377658,27476688,27733212,27972580,28181229,28215027,28757456,28757620,28808622,28826254,28853976,29036326,29082957,29420709,29541181,30002686,30264965,30274289,30719086,30839345,30911274,31327429,31341109,31937367,31962670,32095375,32114949,32115556,32352138,32352280,32450757,32460723,32559268,32592450,32680420,32786349,32948797,33110657,33558334,33567096,33705845,33757937,33876395,34126557,34216006,34278065,34312174,34509144,34765280,35032180,35240757,35451166,35574549,36317958,36396315,36993397,37007214,37133765,37228117,37762983,38020675,38355204,38514450,38607709,38822736,38822787,38842865,39110940,39157636,39216504,39951736,40021969,40447014,40651674,40774756,40855726,40877437,41082080,41131277,41133678,41538757,41584516,41718336,42038616,42205029,42410357,42471598,42860980,43478308,43675578,44118567,44165158,44420017,44560518,44753470,44945703,45044797,45212446,45378789,45624810,45636568,45657646,45831814,46217340,46513240,46611438,46933128,47069710,47121189,47293443,47422151,47450389,47463934,48394850,48640749,48666464,48749109,48793877,48863134,48965757,49298496,49723269,50745041,51341139,51342549,51433176,52327395,52652158,52799769,52847710,52863166,52897054,52956429,53115526,53704164,54078965,54315250,54318004,54524806,54749772,54970996,55153870,55420557,55460808,55815888,55939480,56258221,56483652,56655157,56871665,57340149,57402886,57777286,57862323,58066756,58073820,58084557,58475749,58904356,59099345,59410309,59591069,59675757,59766766,60675334,60691909,61472589,61945408,62107654,62393409,62430065,62580469,62648446,62675854,62792874,62931915,63417252,63547037,64349710,64894758,65178300,65350726,65474020,65608757,66088798,66184644,66327988,66508557,66562397,66737559,66850865,67127376,67320589,67729486,67745930,67786270,67805620,68070957,68245998,68439941,68798229,69135500,69523520,69652606,69688584,69938709,70179889,70296358,70400548,70470589,70700165,70919214,71179557,71677957,71824774,71875012,72015046,72344465,72470446,72827797,73034349,73132995,73438865,73440766,73910648,74129957,74916078,75518298,75567220,76480366,76639395,76669726,77212414,77219652,77637309,77803288,77892580,77920757,77968804,78008528,78213960,78345845,78348957,78399657,78568824,79032388,79449475,79566189,79574854,79894654,80221038,80598509,81059345,81295116,81343524,81366744,81587229,81600965,81688029,81703156,81748688,82538980,82922741,82962600,83149479,83397957,83428224,83484664,83651974,84149080,84400557,84495181,84545797,84591028,84840198,84871870,84900957,84979381,85090174,85118449,85200909,85260574,85927246,86634471,86813358,87095288,87528699,87592749,87759594,87990705,88094929,88126638,88174424,88321348,88389927,88493440,88585269,88621829,88725220,89103652,89400670,89497780,89705998,90069549,90680664,91237375,91288565,91537587,91608699,91684894,91733557,91823345,91922776,91967274,92138469,92157598,92294797,93332925,93358180,93471096,93805557,93856752,93920247,94015014,94356934,94667715,94840469,94891006,95048836,95339370,95416541,95519749,95877958,95958814,96052324,96172270,96439029,96536229,96620165,96779900,96975089,97271214,97303395,97921158,97982199,98207278,98217809,98765000,98987475,99046776,99149237,99196227,99272465,99344589,99555120,99692614,...,45754347547513149543971556745469572062817115356160176744712584936786231892280470496984611951543689484312672477989095040136886604298561432703721905906837453789540477504449355836294256998699652280475999488751617606543582982451169691333522190695280016749154501401476504545301405736159874226712554625660079729147050713393756542976045942927266146156709844631841922265208040345914821461447945990676536835431144804541922801150871643799296576875417528779900895469016099946842462235881688425176760339465831582650837330549434653470403092668901529450698665222224788414138096661748977584842698969820045421556544642852513204660705762367863592756245707898978911006677787469062414326829252700226299330422202033924435327285967167983738586494851713905629492287560521201252089414588012622406781794054407011961618993982198731325510869373074190439401416984665093820867464763077833257772964284432460180367101584644721066083488979067297728524655205890241704463987274721073256588922140609443554275241517159558792411387954116147151551104786242087124272383217171946324439223834047873205505968151372932513429637555584622955106421688058243787497519125784546826049735451175077033573174344846156388947169912135229887874610774328293429443021115646321882964254568012928014037936110364213827978315608148671016640159002881216198942541924618059871847570487384283049098569376086488120208972964965760509092907378061809042446501003565468242376992777120138201177206212843432281636832729530986457679933255842832291626254561245944059649374132602552309647213356806220087867262489334417501885716916396007129567016286096462125776368562572603604223605049830129649110787032338823564735775412927337429983809830676919001152531782661044407919871978588789350478834545378722684312688098681794703016352693677495802545173849450093145712014400373131949598378488026838330870221804672563753010931256348492340133009486234807570225391517261410639766877543116300469360972645329939716920185359042863186810495060556418721538805252947517464490290293064714387116191907616710414563009626987620422072832568603779724316762583573993146890159673046421803069832269482613476957273458366649741619604993391595927317337573938394557616466936944229523469315787264185787244209699057272659263508942169213464612805634853281842929130437685068979772399749086301307775489799565771281175606813519615307144032787019481651180891242823775863385936337846856548928268440244238532992677623275069995712486778180220730172570497917543823563609441175529353894920327092827435673362788415489749648320619373208493845722758325328142083256402516302852444443699926914520601256702818271829666796813560068233056911168338848835378503357057376044425602905300890810861066691187457031273206255184715327171159110203432478087678329880341647376804575281894955622809161431509814202362601285115352471271111022515206793174430995152907786638650257968374942137563838872847423933429745580619413548774193669179683477884836572438888660579583897014138719945181768367953905239279878468300419747263798203436594025396314186526432450915214321317881970256313791176547577314633789687970349117859749798696308634536415880560232505595771033972190337491808300427049509123}
19780 126734342790991320221368426320021038397796935469868582442646858463285734: {59331,335971,572779,750842,809299,1027676,1045531,1343612,1399339,1634851,1739144,1817276,1956537,2405474,2905161,2921372,3112442,3458525,3634184,3818114,3853005,3857851,4088457,4109872,4150230,4426912,4438531,4564329,4623606,4653212,4670299,4940750,4980276,5282012,5433725,5629605,5928900,6004912,6054859,6169771,6224252,6324160,6520470,6743251,6755526,6777337,6857731,6955168,6972139,7008572,7051821,7094114,7114680,7417352,7543099,7588992,7770979,7824564,7880649,8004015,8344521,8395025,8474037,8537616,8906059,9245179,9381725,9470899,9604818,9681910,10013757,10033939,10074030,10572794,10745632,10803554,10931059,11258070,11489419,11618292,11751845,11823571,11950565,11955194,12008608,12088836,12268099,12582661,12600739,12850089,12873914,13098812,13103234,13374379,13509684,13561442,13565276,13831300,14031452,14102214,14121965,14144491,14340678,15118076,15297725,15388514,15565339,15583292,16325371,16597560,16650019,16729097,16788350,16946358,17189659,17441276,17704064,17727499,17773544,17813481,17975230,18214076,18357270,18370531,18477451,18672255,19330219,19581088,19648819,19759000,19860859,19917072,19995237,20035085,20146020,20706139,20814434,20989532,21038714,21206525,21293734,21377337,21489088,21570276,21570405,21651571,21934394,21945021,22028724,22069891,22174291,22228875,22406706,22834076,23008432,23317939,23628331,23710800,23898710,23907932,24042102,24175224,24350059,24367676,25162774,25170571,25247229,25291520,25447830,25678900,25884486,25884739,26125025,26189731,26378234,26392699,26595379,26674650,26967452,27039842,27120092,27144352,27197127,27302491,27425276,27604459,27700154,27805411,27882812,28308245,28452960,28466061,28621550,28678452,28949276,29235842,29371209,29509805,29700091,29922824,30056225,30166172,30195501,30349824,30419620,30537396,30773852,30814680,30853352,31079539,31275451,31350030,31878485,32009580,32502842,32735611,32868992,33440032,33507739,33603931,33663177,33796099,33969894,34143552,34258076,34314441,34345860,34662842,34666515,34710021,34857609,34957769,34965725,35133211,35315132,35411766,35512651,35946820,35947025,36067470,36069212,36141261,36424424,36503544,36635584,36783789,36977616,37112419,37235834,37299259,37574972,37620036,37950931,38254182,38301794,38411496,38471968,38777276,38783611,39227612,39931997,40144445,40158451,40340539,40440350,40634234,40699085,40850525,40977477,41066487,41215032,41599818,41607091,41688674,41958870,42413851,42583156,42592339,42819932,43136184,43136430,43212933,43239381,43267676,43280964,43456600,43554489,43715132,43790225,43921819,44536699,44756128,44973739,45004029,45379961,45495811,45502076,45582571,45870434,45928891,46012192,46078629,46366911,46875331,46987676,47432732,47558179,47939714,47944005,47985509,48067291,48151891,48173334,48423944,48528207,48528420,48657979,48763394,48838902,48888675,48910051,48947045,48968954,49020630,49077739,49342952,49745611,49911859,49939670,50337501,50350644,50812514,50968445,51140272,51324009,51352600,51424442,51468261,51558499,51763648,51763716,51965659,51980645,52147920,52288672,52548270,53176749,53576225,53735779,53859194,53929352,54202232,54347885,54370819,54464642,54476937,54765379,54844904,55001251,55158139,55510821,55624448,56051488,56273372,56473442,56480059,57045710,57073274,57324331,57472442,57532806,57705211,57771675,58070114,58141550,58159891,58234104,58467842,58666410,58736454,58824756,59210731,59414024,59730859,59927604,60052994,60467779,60505052,60670521,60833080,60977511,60979339,61162134,61283589,61623120,61700517,62148584,62376774,62577504,62828252,62990299,63057924,63202411,63272971,63343459,63694819,63707397,64291470,64364642,64669051,64671817,64738099,64753154,64854332,64998812,65217462,65287676,65513367,65561059,65731328,65765179,66036331,66247737,66297692,66373651,66840777,66879674,66976291,67130205,67639051,67818669,67897505,67902139,68077877,68229379,68257462,68437215,68454852,68456732,68486469,68554819,68577568,68684491,68713745,68747721,68942971,69264451,69326010,69560954,69769860,69917157,69924350,70281091,70344019,70399692,70595011,70604565,70608572,70657579,70701434,70907131,71195901,71530102,71605552,71647874,72025442,72583445,72592275,72802099,72999696,73049081,73279891,73294701,73576171,73630445,73894076,73947744,73987939,73995977,74104939,74279899,74421184,74685619,75311536,75316051,75372931,75712699,76105819,76161691,76208377,76384459,76453532,76696442,77045851,77149764,77152621,77431760,77446076,77589091,78337531,78539642,78811219,78978237,79175611,79271565,79294749,79345581,79455842,79567676,79673289,79821314,80003834,80197291,80432429,80556246,80732474,80944651,81190171,81206246,81472875,81477006,81482419,81627571,81723979,81787209,81807869,81821114,81842525,81868051,81915931,81963452,82124658,82201699,82456494,82531819,82724354,82730805,82904779,82909985,83084642,83191212,83364499,83455579,83682019,83723832,83909220,84218131,84520034,84556336,84613411,84725478,84757025,85002859,85045771,85088611,85131379,85344139,85971619,86104329,86419375,86461939,86526344,86663179,86665929,86733166,86743171,86904400,87009794,87100134,87110730,87333931,87372739,87539642,87870691,88000685,88133779,88246192,88356534,88430131,88613011,88649371,88678076,88685659,88983412,89221339,89291539,89503168,89650149,89843765,90078139,90144739,90177931,90635059,90761276,90816502,90858331,90994664,91013001,91015651,91140211,91385594,91730972,91775251,91863379,91892611,92095219,92180971,92237779,92294299,92388310,92462131,92489851,92897011,92918112,93110714,93161481,93251612,93414691,93613699,93625442,93662731,93759931,93784051,93972669,94013781,94044619,94138874,94189311,94459025,94539619,94558952,94689811,94774051,94821434,94827689,94906076,94991714,95059819,95125878,95255299,95274451,95498659,95553091,95677579,95882779,95981491,96171139,96306571,96379291,96517754,96519331,96524565,96639211,96686594,96690619,96896251,97018219,97027357,97091299,97254110,97298011,97342137,97364539,97365725,97379132,97441219,97455691,97461005,97490611,97510660,97606891,97633171,97643179,97652899,97675939,97684651,97720291,97743979,97766731,97767450,97771699,97782859,97790491,97809499,97810579,97811011,97816037,98026089,98211030,98790485,99133197,99276966,99491982,99888104,...,61005796730017532725295408993959429417089487141546902326283446582381642523040627329312815935391585979083563303985460053515848805731415243604962541209116605052720636672599141115059009331599536373967999318335490142058110643268226255111362920927040022332206001868635339393735207648213165635616739500880106305529400951191675390634727923903021528208946459509122563020277387127886428615263927987568715780574859739389230401534495525065728769167223371706534527292021466595789949647842251233569013785954442110201116440732579537960537456891868705934264886962966384552184128882331970113123598626426727228742059523803350939547607683157151457008327610531971881342237049958749885769105670266968399107229602711899247103047956223978318115326468951874172656383414028268336119219450683496542375725405876015948825325309598308434014492497432253919201889312886791761156619684103777677030619045909946907156135446192961421444651972089730304699540274520322272618649699628097675451896187479258072366988689546078389881850605488196202068139714989449499029844289562595099252298445397164274007957535163910017906183407446163940141895584077658383330025501046062434732980601566769378097565793128208518596226549513639850499481032437724572590694820861762510619006090683904018717248147152285103971087477531561355520212003841621598590055899490746495796760649845710732131425834781984160278630619954347345457209837415745389928668004753957656502657036160184268236274950457909708849110306041315276906577674457109722168339414994592079532498843470069746196284475741626783823016652445890002514289221861342839422688381461949501035158083430138138964806733106839532147716043118431419647700550569783239978413107569225334870042376881392543893162638118385800638446060504963579083584131575726270688470258236661070060231799266790860949352533830842599464504650702451107826962406230085004014575008464656453510679314979743426967188689681880853022503390821733959147963527106586289226913812057150915747326747408558295385073670596689952653720390752952516154922543488947219417346169316827229430443424805039632422350111431990862520212897395229070759776359310151302609697944488866322159473324522127903089783431917859410155289249258972697959087716352247716325612932076363545684678589558951286150407513137709123905507250246758639696532998781735077033986399421028374900809084692820409525377049359308868241188323765034484514581783795808731904357920325651377323570164366759994283315704240294306896760663890058431418145921567372471859893769457103247564483717887319666197760825830944658460963677767104189444341870021737136592591599902552694135008937091029106222395751413424310742548224451798447171337809409834725900803873734521081148088921583276041697608340246287102894878813604576637450237773173788863169072767042526607497078881908679752269816801713487136628361481363353609057565907993537210382184867010624499922850085118497129898577906327440825884731698924892239577970513115429918518214106111862685518293260242357823938540319039837957733892996351730937915458700528418915368576601220285761757175960341751721568730103086178386250627132157146333064928411512715221174080310007461028045296253783322411067236066012164}
19781 127228358273259282027623289758978093165165502243204846342449291472246744: {79108,1126263,1284595,1521751,1541514,1679515,2015418,2173930,2271595,2390839,2608716,2725914,3179911,3596138,3608211,3651715,3693811,3873548,4127959,4364971,4382058,4542730,4668663,5137340,5254298,5451276,5533640,5727171,5816515,6085772,6164808,6225345,6490183,6602515,6640368,6676514,6730999,6935409,6979818,7386874,7411125,7441603,7470414,7506140,7780315,7905200,7923018,8625943,8693960,8760715,8893350,9007368,9271690,9330871,9336378,9402428,9486240,9780705,10118656,10133289,10432752,10507532,10512858,10514491,10641171,10672020,11126028,11298716,11383488,11495011,11736846,12408283,12593482,12806424,13224739,13351676,13432040,14065351,14407227,14522865,15010760,15111045,15116803,15384919,15435898,15491056,15551851,15753883,15816691,15859191,16118448,16205331,16373515,16887105,16956595,17133452,17289125,17427438,17539315,17793754,17932791,17974231,18012912,18133254,18180331,18593131,18802952,18897595,19120904,19267699,19310871,19479115,19648218,19654851,19846963,20132378,20264526,20342163,20347914,20746950,21047178,21153321,21511017,21801595,22130080,22216930,22434883,22595144,22677114,22767595,23082771,23374938,23573539,23751308,24476360,24577123,24698750,24896340,25050139,25182525,25419537,25582282,26161914,26182471,26236915,26315818,26556096,26660316,26731543,26861360,26962845,26996683,27321114,27348451,27535905,27634891,27769891,28503116,28542595,28760368,28760540,29260028,29371632,29638500,29875608,29884915,30219030,30277363,30459595,30766714,31221651,31484298,31558071,31614400,31871371,31940601,32056136,32098625,32148871,32217578,32233632,32355414,32362171,32901591,33043086,33114019,33610059,33662972,33709315,33900115,33930440,34251114,34253083,34281595,34315658,34426411,34512648,34725811,34853515,35515618,35566200,35848065,35861898,36010711,36063153,36186595,36262836,36551514,37293091,37403530,37707715,37729459,37744161,37896074,37937280,37954748,38024525,38171745,38237936,38467315,38518350,38566690,38826729,39161612,39567351,40011975,40260668,40437098,40451178,40466432,40523179,40559763,40680138,40716528,41086240,41137914,41550231,41561971,41800040,41824218,42370951,42610858,42679440,42779851,42822595,42840919,42932325,43017678,43175083,43423914,43488583,43853763,43863691,44143915,44747738,44884236,44933525,45086515,45249258,45293192,45396439,45524736,45530530,45629430,45662282,45752588,45794480,45806094,46160778,46222020,46280028,46281994,46476812,46868002,46968715,47025045,47188183,47215688,47426953,47608339,47989291,48014370,48089960,48188348,48471595,48609691,48671392,48754263,48798871,49025371,49034515,49045052,49223779,49303488,50121331,50160048,50954841,51005576,51215328,51346999,51387114,51518790,51987271,51994263,52972698,53117649,53228945,53457658,53524915,53920230,54084595,54101205,54103818,54244699,54320750,54380011,54611738,54636636,54643915,54755316,54953376,55466424,55635883,55853751,55945160,56362458,56430054,56433751,56877595,57381273,57452691,57514912,57515240,57617244,57652508,57665491,57703459,57707952,58072652,58165914,58734595,58841418,59082362,59290915,60005372,60240499,60256891,60378931,60529930,60548578,60660525,60951351,61438172,61678690,61822548,62399727,62533011,62654858,62682218,62774371,62938305,63681979,63874734,63925340,64190750,64212451,64229898,64231112,64704276,64704560,64704645,64901514,64921446,65118536,65184900,65360840,65572698,65726551,65897594,66221314,66601783,66990451,67116668,67134192,67200043,67411690,67456891,67515874,67752790,68253114,68432012,68556130,68624348,68805651,69018288,69530560,69816211,70064360,70136611,70341715,70481514,70759939,70902332,71023159,71149098,71909571,72038131,72260001,72635916,72792630,73145091,73258353,73453431,73530945,73986794,74014428,74079931,74137591,74267530,74456234,74557219,74909505,75396211,75525966,75631315,75710551,76041350,76218771,76710408,77028900,77136663,77215418,77362291,77645472,77645574,77685730,78221880,78315272,78329911,78433008,78535315,78664651,78822405,79620331,79903472,80043938,80788791,80841079,80894028,81067915,81248515,81303348,81499051,81549512,81609595,81677431,81696963,81711452,81754874,82164160,82262554,82267356,82739083,82872115,82931299,83077514,83169032,83436672,84077232,84410058,84601891,84704563,84710163,84820714,84943196,85226083,85568565,85570915,85609911,85721960,86208663,86299209,86956616,87105171,87188971,87212325,87351156,87402091,87608131,87701763,87999615,88104681,88237134,88260715,88330316,88840034,89121036,89506940,89521543,89891406,90079491,90089594,90424892,90757578,91249620,91273136,91315292,91663628,91743201,92367595,92434680,93026480,93070291,93222876,93565161,93591211,93866256,94139420,94242378,94586886,94844302,94900778,94927868,95566915,96437205,96546963,96789700,96807595,96985051,97129731,97281498,97332928,97498218,97587754,97726268,97826193,97915939,97931514,97999603,98596992,98980231,99446538,99459595,...,91508695095026299087943113490939144125634230712320353489425169873572463784560940993969223903087378968625344955978190080273773208597122865407443811813674907579080955008898711672588513997399304560951998977503235213087165964902339382667044381390560033498309002802953009090602811472319748453425109251320159458294101426787513085952091885854532292313419689263683844530416080691829642922895891981353073670862289609083845602301743287598593153750835057559801790938032199893684924471763376850353520678931663165301674661098869306940806185337803058901397330444449576828276193323497955169685397939640090843113089285705026409321411524735727185512491415797957822013355574938124828653658505400452598660844404067848870654571934335967477172989703427811258984575121042402504178829176025244813563588108814023923237987964397462651021738746148380878802833969330187641734929526155666515545928568864920360734203169289442132166977958134595457049310411780483408927974549442146513177844281218887108550483034319117584822775908232294303102209572484174248544766434343892648878447668095746411011936302745865026859275111169245910212843376116487574995038251569093652099470902350154067146348689692312777894339824270459775749221548656586858886042231292643765928509136025856028075872220728427655956631216297342033280318005762432397885083849236119743695140974768566098197138752172976240417945929931521018185814756123618084893002007130936484753985554240276402354412425686864563273665459061972915359866511685664583252509122491888119298748265205104619294426713612440175734524978668835003771433832792014259134032572192924251552737125145207208447210099660259298221574064677647129471550825854674859967619661353838002305063565322088815839743957177578700957669090757445368625376197363589406032705387354991605090347698900186291424028800746263899196756976053676661740443609345127506021862512696984680266018972469615140450783034522821279533755086232600938721945290659879433840370718085726373620990121112837443077610505895034928980580586129428774232383815233420829126019253975240844145665137207559448633525167147986293780319346092843606139664538965226953914546916733299483239209986783191854634675147876789115232933873888459046938631574528371574488419398114545318527017884338426929225611269706563685858260875370137959544799498172602615550979599131542562351213627039230614288065574038963302361782485647551726771872675693713097856536880488477065985355246550139991424973556360441460345140995835087647127218882351058707789840654185654871346725576830979499296641238746416987691445516650656284166512805032605704888887399853829041202513405636543659333593627120136466113822336677697670757006714114752088851205810601781621722133382374914062546412510369430654342318220406864956175356659760683294753609150563789911245618322863019628404725202570230704942542222045030413586348861990305815573277300515936749884275127677745694847866859491161238827097548387338359366955769673144877777321159167794028277439890363536735907810478559756936600839494527596406873188050792628373052864901830428642635763940512627582353095154629267579375940698235719499597392617269072831761120465011191542067944380674983616600854099018246}
19782 127724285837095816132873231396623789753846976687263084504689693581941434: {98885,118662,375497,454457,572837,612281,671942,848777,1145558,1438757,1501684,1618598,1635017,1987781,2055352,2091062,2312271,2687224,2798678,3023127,3260895,3269702,3392357,3478288,3508937,3634552,3897017,3913074,4088871,4129481,4361657,4477637,4670777,4709381,4810948,4841935,4902281,5394207,5479781,5710277,5810322,5842744,6055481,6093797,6224884,6421675,6573087,6782117,6814095,6858437,6917050,6972857,7268368,7353737,7607215,7636228,7706010,7715702,7771781,7881447,7923557,8176914,8219744,8300460,8680517,8853824,8877062,8944697,9128658,9247212,9306424,9340598,9382675,9809957,9881500,9960552,10014771,10072457,10469727,10564024,10820297,10867450,10932197,10969481,11080311,11205621,11259210,11490617,11527781,11753035,11857800,11861897,11884527,12009824,12109718,12269381,12306377,12339542,12448504,12638981,12648320,13040940,13134415,13340025,13375781,13486502,13511052,13522757,13554674,13715462,13907535,13910336,13944278,14004567,14017144,14103642,14123395,14188228,14229360,14292281,14620997,14693957,14834704,15086198,15177984,15349157,15541958,15603257,15649128,15761298,15769287,16008030,16327097,16452583,16687817,16689042,16689595,16730791,16790050,16948074,17075232,17605269,17812118,18490358,18763450,18890223,18941798,18941957,19209636,19363820,19367717,19473977,19686281,19770751,19898297,20004197,20027514,20067878,20148060,20391881,20602937,21145588,21416815,21491264,21607108,21862118,22516140,22801637,22978838,23153847,23236584,23320457,23503690,23647142,23665337,23837477,23901130,23910388,24017216,24043781,24177672,24386981,24536198,25165322,25201478,25411781,25700178,25747828,26141157,26197624,26206468,26226437,26632037,26690631,26748758,26935481,27019368,27103781,27122884,27130552,27199881,27305477,27662600,27942281,28049119,28062904,28204428,28242917,28243930,28288982,28309637,28409657,28609481,28681356,28809017,29107781,29306597,29472327,29689135,30131897,30198567,30236152,30396789,30521871,30595450,30624677,30777028,31082981,31115657,31120425,31130678,31166584,31278917,31409381,31570767,32383781,32545481,32650742,32739257,33195120,33300038,33325395,33350981,33458194,33511481,33543557,33576700,33639737,33892716,33991781,34015671,34379318,34470281,34882552,35062407,35408128,35453477,35454998,35547088,35548217,35626962,35628895,35950460,35950675,36397637,36428152,36575035,36648197,36714540,36741062,36954902,37048125,37116617,37334597,37344510,38373423,38660438,38726537,38880197,39162176,39242871,39297638,39339977,39473727,39518000,39631543,39721718,39797957,39834144,39990474,40070170,40102277,40292040,40375481,40708517,40799177,40980281,40981671,41313727,41412278,41431781,41551877,41611877,41628868,41701817,41979064,42060857,42077428,42078715,42329381,42413050,42587468,42754674,42978176,43140552,43140810,43303142,43838777,43868788,43890042,43956281,44057448,44139782,44348582,44366537,44457750,44541881,44571077,44629879,44813412,45328545,45530057,45668152,45876617,45963077,46016864,46150071,46537637,46635878,46709381,46823717,46880837,47226447,47256662,47393477,47421600,47443435,47563781,47592137,47797420,47815864,47818697,48084204,48270281,48326367,48350448,48410981,48533121,48663737,48700118,48735352,48952015,48999737,49501577,49564629,49696037,49945481,50325548,50325835,50341142,50494458,50583040,50607497,50662457,50895660,50909381,51357800,51376671,51428537,51473487,51483017,51564677,51768972,51769478,51836357,51998981,52250050,52379462,52565897,52756468,52785398,53182757,53190758,53273427,53342981,53349300,53449637,53630863,53768837,53792847,53934904,54079684,54240184,54288704,54394254,54403781,54604982,54772037,54798281,54827271,54850552,55190981,55208918,55321481,55400308,55610822,55765624,55867397,56105295,56126117,56202223,56332517,56512697,56616490,56710147,56844111,56905920,56932122,56978719,57190735,57243100,57356837,57356904,57407717,57737657,57777525,57850035,57898552,58096015,58167077,58471684,58742418,58794377,59019610,59143481,59391881,59400182,59614757,59738297,59845648,60112450,60235435,60332344,60391002,60655647,60676767,60699648,60839240,61011257,61020207,61074792,61306315,61495097,61547704,61629360,61706704,61706871,61711781,62159078,62214857,62550902,62700060,62736327,63374981,63702917,63726281,63756970,63916287,64019160,64284617,64423481,64526517,64677317,64746377,64907237,65005684,65135871,65455781,65471222,65737984,65796281,65909381,66247481,66449477,66880064,67007177,67015478,67121607,67207862,67326354,67581881,67592198,67779557,67873887,67910981,67932857,67939788,68238281,68287104,68295795,68368697,68444145,68493423,68516152,68525863,68585417,68628882,68691720,68693477,68709141,68908997,68973497,69016457,69241167,69294917,69325684,69333030,69420042,69422991,69657017,69715218,69915538,69931450,70058981,70266422,70290377,70302003,70374281,70630264,70791881,70823532,71025302,71102981,71185637,71355823,71412281,71893640,71894050,71903417,72021555,72045797,72065635,72134940,72138424,72228281,72282522,72590815,72772903,72848848,72951737,73007088,73230281,73271168,73428281,73567578,73605797,73900217,73939337,73955232,74017481,74134457,74224838,74406281,74471668,74483657,74598518,74868617,75002597,75006715,75149944,75240072,75383237,75723077,75901862,76087039,76116281,76134917,76508364,76561337,76603588,76782137,76797715,76822992,76943936,77056517,77080671,77220281,77278185,77491781,77554552,77567222,77599877,77779397,78029381,78366137,78455224,78559781,78822281,79459047,79616057,79752377,79863994,79906675,80186487,80275781,80288890,80316902,80359481,80675717,80681078,80880345,80880700,80956217,81155727,81268468,81398170,81481125,81494117,81510281,81590981,81655397,81701050,81735737,81751781,81917607,81927737,81954954,82086857,82132974,82324037,82430064,83101637,83199636,83214182,83254757,83376677,83377348,83391881,83467781,83558597,83709317,83895835,83917740,83933897,84421637,84543687,84645081,84712997,84827702,85166312,85184678,85370981,85540015,85639864,85780435,85998281,86121797,86149157,86271881,86272368,86272860,86425866,86478762,86535352,86561928,86689637,86756297,86913200,86994617,87108978,87125897,87248871,87398981,87430264,87449791,87476357,87514937,87579077,87580450,87770297,87843638,87858917,88147337,88159781,88262127,88296137,88419257,88456037,88529381,88623543,88627915,88663097,88711481,88783817,89073398,89235257,89246981,89375417,89421881,89479781,89512256,89583497,89697977,89720777,89868197,89924537,89947478,90008058,90203237,90552677,90660197,90745637,90759922,90794895,90819977,90822867,90991622,91004152,91165142,91165157,91278281,91370117,91471397,91740868,91857782,91917257,92023781,92024384,92157258,92252837,92309381,92518035,92678981,92733822,92760377,92894597,92912357,92947781,93209381,93555257,93580037,93629381,93750662,93759557,93783737,93943097,93975352,93982287,94023327,94060517,94068281,94229477,94401977,94555781,94599077,94627781,94838981,94865464,95056507,95076281,95082917,95116358,95181497,95271881,95278277,95335481,95575877,95694437,95700281,95786981,95812101,95879428,95888010,95954981,95971018,96003977,96014777,96134582,96188357,96199243,96224057,96286125,96303782,96323897,96338597,96344847,96346668,96387077,96411017,96444197,96595337,96648137,96682027,96835877,96847888,96894857,96906437,96948281,97039781,97056414,97056840,97057481,97088837,97112777,97122917,97139657,97191881,97284281,97315958,97327781,97352271,97382169,97459781,97462217,97504697,97509257,97526788,97538117,97581881,97603397,97627577,97646981,97662137,97677804,97687481,97707977,97747781,97754597,97757897,97760057,97764281,97770377,97773317,97777350,97786937,97791077,97802981,97809977,97820102,97828517,97830281,97830857,97894090,97937908,98041260,98155478,98359047,98685904,98846391,99331971,99491222,99823718,99879340,...,137263042642539448631914670236408716188451346068480530234137754810358695676841411490953835854631068452938017433967285120410659812895684298111165717720512361368621432513348067508882770996098956841427998466254852819630748947353509074000566572085840050247463504204429513635904217208479622680137663876980239187441152140181269628928137828781798438470129533895525766795624121037744464384343837972029610506293434413625768403452614931397889730626252586339702686407048299840527386707645065275530281018397494747952511991648303960411209278006704588352095995666674365242414289985246932754528096909460136264669633928557539613982117287103590778268737123696936733020033362407187242980487758100678897991266606101773305981857901503951215759484555141716888476862681563603756268243764037867220345382163221035884856981946596193976532608119222571318204250953995281462602394289233499773318892853297380541101304753934163198250466937201893185573965617670725113391961824163219769766766421828330662825724551478676377234163862348441454653314358726261372817149651515838973317671502143619616517904454118797540288912666753868865319265064174731362492557377353640478149206353525231100719523034538469166841509736405689663623832322984880288329063346938965648892763704038784042113808331092641483934946824446013049920477008643648596827625773854179615542711462152849147295708128259464360626918894897281527278722134185427127339503010696404727130978331360414603531618638530296844910498188592959373039799767528496874878763683737832178948122397807656928941640070418660263601787468003252505657150749188021388701048858289386377329105687717810812670815149490388947332361097016470694207326238782012289951429492030757003457595347983133223759615935766368051436503636136168052938064296045384109049058081032487407635521548350279437136043201119395848795135464080514992610665414017691259032793769045477020399028458704422710676174551784231919300632629348901408082917935989819150760556077128589560431485181669256164616415758842552393470870879194143161348575722850131243689028880962861266218497705811339172950287750721979440670479019139265409209496808447840430871820375099949224858814980174787781952012721815183672849400810832688570407947361792557361732629097171817977790526826507640393838416904559845528787391313055206939317199247258903923326469398697313843526820440558845921432098361058444953542673728471327590157809013540569646784805320732715598978032869825209987137460334540662190517711493752631470690828323526588061684760981278482307020088365246469248944961858119625481537168274975984426249769207548908557333331099780743561803770108454815489000390440680204699170733505016546506135510071172128133276808715902672432583200073562371093819618765554145981513477330610297434263034989641024942130413725845684866868427484294529442607087803855346057413813333067545620379523292985458723359915950773905124826412691516618542271800289236741858240646322581007539050433654509717316665981738751691042416159835545305103861715717839635404901259241791394610309782076188942559579297352745642963953645910768941373529642731943901369063911047353579249396088925903609247641680697516787313101916571012475424901281148527369}
19783 128222132830834472885980842093275416043558378190745892742886762052859963: {158216,177993,1007913,1718337,1798433,1877105,2252526,2351321,2427897,2569190,2825537,3043502,3083028,3136593,3180233,3359030,4030836,4128377,4198017,4347860,4365413,4543190,4781678,4878497,4904553,5112401,5217432,5451828,5869611,6013685,6359822,7192276,7216422,7303430,7387622,7747096,7781105,7954817,8143121,8255918,8715483,8729942,8764116,9085460,9243521,9337326,9545285,10274680,10375575,10508596,10892441,10902552,11027393,11067280,11454342,11559015,11573553,11633030,12171544,12265001,12265371,12329616,12351875,12450690,12980366,13205030,13280736,13315593,13353028,13461998,13585013,13692987,13868081,13870818,13959636,14010897,14773748,14822250,14883206,14940828,15012280,15560630,15629237,15810400,15818297,15846036,16301175,16888815,17251886,17387920,17521430,17607281,17735285,17786700,18014736,18164577,18182177,18509313,18543380,18661742,18672756,18692453,18804856,18972480,19500113,19561410,20229753,20237312,20266578,20332011,20573193,20865504,20916417,21015064,21025716,21028982,21155463,21156341,21242273,21282342,21344040,22252056,22437161,22597432,22629297,22766976,22770917,22922921,22990022,23312937,23473692,23641947,23739233,24012045,24204775,24555041,24816566,25033563,25074281,25185075,25186964,25422111,25612848,26272097,26431985,26439641,26449478,26456633,26703352,26718177,26864080,26981621,27008885,27270761,27637697,27735537,27859637,28130702,28145175,28412697,28814454,29045730,29887985,30021520,30041271,30101817,30222090,30233606,30522233,30769838,30871796,30982112,31036937,31103702,31507766,31633382,31718382,31874633,32184785,32236896,32365457,32410662,32747030,32758085,32793177,33054473,33774210,33903605,33913190,34256561,34266904,34468257,34578250,34729337,34854876,35078630,35158937,35255535,35470713,35587508,35760377,35851695,35865582,35948462,36025824,36266508,36360662,36419753,36731681,36804297,37186262,37605904,37747983,37795190,37802217,38241808,38251841,38471285,38476577,38535398,38550267,38621742,38958230,39296436,39309702,39693926,39959633,40123137,40264756,40529052,40684326,40695828,41493900,41664677,41838881,41970875,42094356,42306642,42365895,42433473,42558113,42643433,42976721,43022034,43317881,43603190,44073653,44260160,44433860,44866673,44869766,44938075,45190288,45354228,45535190,45893175,46165542,46696017,46749876,47147078,47193041,47460161,47502616,47994233,48794921,48952720,48976113,49118693,49154246,49222181,49228817,49397500,49792680,49930697,49950057,50100278,50187291,50365050,50630177,50661233,50839074,51164564,51568977,51776681,52036085,52323828,52336421,52364942,52473830,52596785,52631636,52790801,53112192,53182497,53234335,53320632,53440443,53463086,53650337,53722720,53854241,53925690,53993366,54319913,54642228,54696902,54835985,55071810,55111593,55269782,55432353,55539782,56016765,57006232,57085190,57520736,57521080,57671393,57990657,58132481,58173557,58520056,58743264,58946457,59277000,59582577,59746775,59751216,59769830,59951633,59985711,60105255,60438060,60554726,60669257,60682817,60919190,61533428,61801481,62118417,62181281,62443302,62906935,62968596,63116142,63121121,63228800,63619575,63742742,63881202,64112272,64132011,64197250,64297742,64435156,64467264,64710828,64711215,64724342,64954713,65756201,65803182,65835063,65945585,66086172,66209673,66228038,66522873,66686625,66694433,66788417,67220118,67325944,67345937,67418630,67599605,67800230,67860233,67860880,68102057,68194997,68502228,68506166,68563190,68631316,68648321,68852822,69025296,69250385,69451622,69707030,69953817,70784681,70786433,70884993,71031236,71132400,71193317,71553875,71696130,71723796,71766857,72021422,72126306,72373190,72525672,73050177,73089605,73103028,73158581,73469153,74087513,74187893,74520523,74564897,74586182,74807060,74934881,75415430,75458918,75488322,75511713,75718433,75741687,75792148,75874560,75909496,76049050,76343490,76475872,76501481,76934630,77036700,77133380,77653458,77654217,77676833,78323224,78375075,78387977,78569193,79134702,79170533,79178097,79628633,79786137,80023950,80521336,80874196,80902356,80932864,81046358,81119526,81257105,81360276,81433056,81591381,81907473,82172480,82228433,82275828,82795217,82813377,83007281,83100462,83123942,83416233,83600080,83648436,84741902,84924735,85135973,85221716,85358880,85398183,85559702,85645190,85681838,85841537,85864650,86035356,86350166,86463737,86657105,86847828,86977166,87617153,87707526,87727382,88113077,88113627,88287830,88529415,89100273,89104613,89225141,89495476,89768472,89867050,90168675,90173030,90498516,90546257,90586384,90586503,90792878,91049472,91061060,91258860,91324564,91505176,91588960,91612188,91773701,92321556,92444040,92560056,92563988,92571713,92953624,93089585,93238617,93359057,93732713,93736004,93826353,93937430,94050090,94376366,94431376,94853906,95216678,95252681,95539457,95635455,95754485,95978582,96028740,96179920,96376696,96527873,96943190,97219382,97342784,97446497,97508526,97597742,98009717,98050742,98069030,98090104,98206833,98340737,98447558,98478401,98606976,99398021,99984053,...,183017390190052598175886226981878288251268461424640706978850339747144927569121881987938447806174757937250689911956380160547546417194245730814887623627349815158161910017797423345177027994798609121903997955006470426174331929804678765334088762781120066996618005605906018181205622944639496906850218502640318916588202853575026171904183771709064584626839378527367689060832161383659285845791783962706147341724579218167691204603486575197186307501670115119603581876064399787369848943526753700707041357863326330603349322197738613881612370675606117802794660888899153656552386646995910339370795879280181686226178571410052818642823049471454371024982831595915644026711149876249657307317010800905197321688808135697741309143868671934954345979406855622517969150242084805008357658352050489627127176217628047846475975928794925302043477492296761757605667938660375283469859052311333031091857137729840721468406338578884264333955916269190914098620823560966817855949098884293026355688562437774217100966068638235169645551816464588606204419144968348497089532868687785297756895336191492822023872605491730053718550222338491820425686752232975149990076503138187304198941804700308134292697379384625555788679648540919551498443097313173717772084462585287531857018272051712056151744441456855311913262432594684066560636011524864795770167698472239487390281949537132196394277504345952480835891859863042036371629512247236169786004014261872969507971108480552804708824851373729126547330918123945830719733023371329166505018244983776238597496530410209238588853427224880351469049957337670007542867665584028518268065144385848503105474250290414416894420199320518596443148129355294258943101651709349719935239322707676004610127130644177631679487914355157401915338181514890737250752394727178812065410774709983210180695397800372582848057601492527798393513952107353323480887218690255012043725025393969360532037944939230280901566069045642559067510172465201877443890581319758867680741436171452747241980242225674886155221011790069857961161172258857548464767630466841658252038507950481688291330274415118897267050334295972587560638692185687212279329077930453907829093833466598966478419973566383709269350295753578230465867747776918093877263149056743148976838796229090637054035768676853858451222539413127371716521750740275919089598996345205231101959198263085124702427254078461228576131148077926604723564971295103453543745351387426195713073760976954131970710493100279982849947112720882920690281991670175294254437764702117415579681308371309742693451153661958998593282477492833975382891033301312568333025610065211409777774799707658082405026811273087318667187254240272932227644673355395341514013428229504177702411621203563243444266764749828125092825020738861308684636440813729912350713319521366589507218301127579822491236645726039256809450405140461409885084444090060827172697723980611631146554601031873499768550255355491389695733718982322477654195096774676718733911539346289755554642318335588056554879780727073471815620957119513873201678989055192813746376101585256746105729803660857285271527881025255164706190309258535158751881396471438999194785234538145663522240930022383084135888761349967233201708198036492}
19784 128721906630849254246794636417060850367559629658312323630428354269240053: {138439,197770,237324,612343,750994,908914,1145674,1224562,1321039,1343884,1697554,1909639,2027143,2291116,2877514,3003368,3237196,3270034,3378789,3548143,3853785,3975562,4110704,4182124,4565253,4624542,4709863,5038545,5374448,5403439,5434825,5518783,5597356,5979439,6046254,6094423,6521790,6539404,6553639,6778709,6784714,6814785,6956576,7017874,7126039,7172517,7269104,7696639,7794034,7826148,8177742,8258962,8723314,8955274,8990345,9341554,9418762,9539733,9621896,9683870,9804562,10522639,10650101,10788414,10824633,10955145,10959562,10970623,11081433,11082439,11356825,11420554,11528983,11620644,11685488,12110962,12187594,12307663,12383877,12449768,12843350,13094913,13135745,13146174,13564234,13628190,13716874,13834100,13945714,13964383,14005989,14536736,14707474,15214430,15272456,15387103,15412020,15431404,15543562,15762894,15847114,16353828,16439488,16454249,16600920,16691285,17181513,17361034,17449545,17707648,17754124,17889394,18257316,18388181,18467185,18494424,18612848,18623863,18676035,18681196,18730639,18765350,19470549,19619914,19763000,19772753,19807545,19921104,20029542,20144914,20192997,20429263,20806227,20939454,20956303,21128048,21640594,21734900,21864394,21938962,22160622,22233375,22318183,22324809,22411242,22518420,22838743,22981234,23055562,23179225,23340945,23365433,23506070,23715600,23723794,23769054,23874463,24019648,24080743,24219436,24492439,24538762,24612754,24679084,24897008,25277962,25296640,25877829,26081880,26268830,26282145,26288581,26680050,26751562,26938423,26973004,27022104,27045514,27109348,27140383,27430924,27815070,27820672,27888556,27945343,27992613,28009134,28034288,28207284,28246790,28376456,28458720,28546039,28584562,29241994,29342115,29387914,29669408,29983541,30036439,30135223,30172396,30355968,30399867,30698314,31083916,31119103,31206514,31298256,31412863,31483705,31522596,31538574,31543473,31923513,32016060,32654194,32905166,33354703,33375634,33378084,33379190,33461582,33547303,33580100,33896148,34150464,34485033,34505983,35210538,35457463,35624236,36980716,37224849,37526900,37780446,37883596,37883914,38083303,38419272,38589745,38727640,38730943,38735434,38947954,39372562,39541502,39674217,39796594,40008394,40015639,40055028,40106863,40135756,40296120,40783762,40834063,41205874,41466583,41564789,42196053,42291176,42721039,42833630,42982528,43214216,43221681,43568595,43724236,44484385,44576263,44926039,45032280,45333135,45350409,45361639,45603274,45795439,45957676,46154757,46227439,46307694,46473168,46571743,46640914,46655553,47007380,47261649,47294284,47330674,47427463,47450073,47512639,47577573,47597743,47674954,47802260,47820776,48034432,48087562,48355344,48360439,48615993,48773962,49072396,49120545,49701943,49880453,50330644,50330945,50402956,50661315,50823562,50860639,50869785,51205049,51400356,51495656,51867375,52282314,52395248,52412936,52452874,52617945,52814143,53264074,53296039,53381262,53497516,53798373,53870962,53922693,54038736,54207562,54245768,54261104,54399762,54489439,54540993,54610954,54804943,54933637,55325200,55354303,55542325,55779393,55884562,56098238,56125808,56408856,56485834,56487860,56577964,56619274,56692785,56819314,57134503,57211039,57218962,57362712,57618034,57803097,57932613,58215562,58437345,58613194,58801663,58910201,58944654,58964553,59175703,59378270,59473639,59540889,59844439,60263794,60397134,60472304,60653863,60793578,61026489,61043742,61190900,61249354,61309639,61554056,61671439,61746875,62031439,62165962,62231314,62240850,62261356,62333168,62557834,62746039,62750281,62818762,63141534,63381929,63459963,63734383,63804439,63955705,64533051,64767562,65090962,65190439,65301484,65404785,65464183,65478514,65789545,65940463,66278503,66390240,66420809,66600076,66650790,66701962,66916388,67022962,67087114,67153400,67215439,67279474,67304649,67785432,67941703,67983562,68031342,68302785,68532821,68758636,68853439,68918023,68940562,69248313,69496039,69751063,69765104,69814639,70124814,70456169,70509223,70720617,70816256,70906954,70909996,71094176,71096434,71133103,71253924,71257790,71900920,71901350,71933383,72540703,72795274,72856304,73150070,73259983,73296394,73429080,73482124,73497439,73731369,73792639,73909804,74096250,74233234,74669194,74689020,74897983,75150417,75547575,76089439,76145383,76258611,76590343,76746846,76916785,76975903,77194639,77320876,77453074,77760394,78004639,78058063,78324352,78485742,78547413,78588343,78595276,78679954,78710745,78947454,79036000,79111423,79263086,79443436,79595914,79668288,79780663,79980948,80067029,80140340,80194629,80204554,80287183,80543945,80584080,80750962,80888535,80990049,81278623,81334421,81417034,81521983,81598354,81763543,81960562,81963342,82045353,82335943,82607715,82627454,82824556,82863562,82904673,83103754,83223754,83257736,83266903,83309673,83403634,83404063,83856583,83958128,84121714,84154856,84157430,84329609,84346039,84565639,84658762,84740023,84826100,85174936,85256263,85426039,85468303,85509348,85627785,85789145,85828841,85956352,86281104,86281620,86606284,87060439,87256639,87605263,87677554,87737576,87780084,87912562,88114896,88173343,88279564,88697164,88733074,88789045,88915500,89083762,89142154,89259758,89260903,89626824,89643439,89654745,90642439,90657090,90802639,90832089,90834463,91060114,91117639,91303183,91336304,91378785,91394983,91606663,91696303,91753234,91926154,92033728,92163439,92300142,92473903,92694223,92989639,93075274,93224863,93271756,93418762,93508825,93647434,93664953,93761674,94084183,94130623,94452894,94469743,94513324,94674213,94740185,94786954,94843200,94876039,94886870,94958263,95099383,95127562,95184274,95275639,95294863,95371039,95594840,95614113,95631728,95637394,95717143,95821039,95821803,95988439,96168408,96241303,96295875,96416725,96446613,96461623,96517639,96540562,96652734,96700896,96821962,96853663,96912703,97066242,97079023,97086513,97266439,97275583,97311439,97327474,97354639,97400236,97470704,97480783,97667623,97706503,97789663,97845103,97846039,97851583,97904030,97999474,98704773,99003154,99129258,99342057,99392074,99890962,...,274526085285078897263829340472817432376902692136961060468275509620717391353682822981907671709262136905876034867934570240821319625791368596222331435441024722737242865026696135017765541992197913682855996932509705639261497894707018148001133144171680100494927008408859027271808434416959245360275327753960478374882304280362539257856275657563596876940259067791051533591248242075488928768687675944059221012586868827251536806905229862795779461252505172679405372814096599681054773415290130551060562036794989495905023983296607920822418556013409176704191991333348730484828579970493865509056193818920272529339267857115079227964234574207181556537474247393873466040066724814374485960975516201357795982533212203546611963715803007902431518969110283433776953725363127207512536487528075734440690764326442071769713963893192387953065216238445142636408501907990562925204788578466999546637785706594761082202609507868326396500933874403786371147931235341450226783923648326439539533532843656661325651449102957352754468327724696882909306628717452522745634299303031677946635343004287239233035808908237595080577825333507737730638530128349462724985114754707280956298412707050462201439046069076938333683019472811379327247664645969760576658126693877931297785527408077568084227616662185282967869893648892026099840954017287297193655251547708359231085422924305698294591416256518928721253837789794563054557444268370854254679006021392809454261956662720829207063237277060593689820996377185918746079599535056993749757527367475664357896244795615313857883280140837320527203574936006505011314301498376042777402097716578772754658211375435621625341630298980777894664722194032941388414652477564024579902858984061514006915190695966266447519231871532736102873007272272336105876128592090768218098116162064974815271043096700558874272086402238791697590270928161029985221330828035382518065587538090954040798056917408845421352349103568463838601265258697802816165835871979638301521112154257179120862970363338512329232831517685104786941741758388286322697151445700262487378057761925722532436995411622678345900575501443958881340958038278530818418993616895680861743640750199898449717629960349575563904025443630367345698801621665377140815894723585114723465258194343635955581053653015280787676833809119691057574782626110413878634398494517807846652938797394627687053640881117691842864196722116889907085347456942655180315618027081139293569610641465431197956065739650419974274920669081324381035422987505262941381656647053176123369521962556964614040176730492938497889923716239250963074336549951968852499538415097817114666662199561487123607540216909630978000780881360409398341467010033093012271020142344256266553617431805344865166400147124742187639237531108291963026954661220594868526069979282049884260827451691369733736854968589058885214175607710692114827626666135091240759046585970917446719831901547810249652825383033237084543600578473483716481292645162015078100867309019434633331963477503382084832319671090610207723431435679270809802518483582789220619564152377885119158594705491285927907291821537882747059285463887802738127822094707158498792177851807218495283361395033574626203833142024950849802562297054738}
19785 129223614641660854768533053234091392215662665967385637407011520134430225: {296655,316432,355986,1126491,1363371,1679855,1718511,1836843,2015826,2391323,2546331,2627947,2863895,3339271,3436674,3596866,3754210,4046495,4316271,4505052,4702642,4855794,4878991,4905051,4997003,5138380,5227655,5651074,5708039,5963343,6087004,6166056,6273186,6360466,6718060,6936813,6996695,8061672,8174255,8256754,8396034,8419159,8695720,8730826,9069381,9086380,9563356,9731327,9756994,9782685,9809106,10177071,10198859,10224802,10434864,10441931,10526811,10893547,10903656,11691051,11739222,12027370,12266613,12388443,12719644,13084971,13363399,13432911,13749719,14012331,14128143,14384552,14432844,14525805,14606860,14706843,14775244,15494192,15562210,15909634,16182621,16286242,16439343,16511836,16590407,17130831,17292625,17430966,17459884,17528232,18166443,18170920,18281391,18487042,18674652,18694351,19090570,19265025,19289255,19719261,19768127,20346351,20442285,20549360,20575311,20751150,20918571,21017192,21784882,21805104,22054786,22061211,22134560,22192655,22615399,22821645,22908684,23118030,23147106,23266060,23315343,23351495,23644341,23770671,23774279,24025271,24343088,24438623,24530002,24530742,24659232,24703750,24829399,24901380,25076827,25960732,26041551,26410060,26561472,26631186,26706056,26834091,26863367,26923996,27168625,27170026,27385974,27736162,27741636,27919272,28021794,28148025,29429871,29547496,29550187,29644500,29766412,29881656,30024560,30044313,30217371,30274295,30848855,31121260,31258474,31409181,31620800,31636594,31692072,32460891,32602350,32796591,32908443,33240933,33616863,33701567,33716255,33777630,33886685,34288655,34471851,34503772,34583343,34775840,34860695,35042860,35214562,35259105,35470570,35573400,35585691,35653581,35763359,36029472,36329154,36364354,36423451,36808143,36919131,37004779,37018626,37086760,37323484,37345512,37384906,37609712,37715495,37812439,37916943,37944960,37956119,38854895,39000226,39122820,39403245,40020075,40127343,40459506,40474624,40533156,40568271,40664022,40889899,41143883,41146386,41551471,41722605,41731008,41832834,41843179,41975125,42013701,42030128,42051432,42057964,42310926,42312682,42370185,42423359,42484546,42564684,42688080,42876843,43862991,44081871,44433559,44504112,44530295,44538103,44874322,45058699,45194864,45258594,45533952,45541834,45672503,45845842,45861319,45980044,46047471,46225895,46625874,46809771,46908625,46947384,47283894,47307861,47354495,47465047,47478466,48024090,48409550,48789199,48981291,49110082,49357749,49633132,50063451,50067126,50068785,50083583,50148562,50169695,50192373,50370150,50373928,50844222,51225696,51623263,52544194,52815807,52863970,52879282,52898956,52913266,53406704,53436354,53728160,53859799,53963242,54017770,54541522,54655295,55275394,55471074,55719274,56261404,56290350,56670669,56825394,56825871,57447095,57628908,58091460,58103151,58179511,58421931,58493647,58759225,59058843,59117855,59312253,59694891,59752825,59775970,60012591,60043040,60082542,60203634,60444180,60467212,60710491,61044466,61175643,61190623,61340495,61539676,61743592,61808811,61964224,62073874,62207404,62913305,63003695,63015532,63266764,63436764,63566519,63749266,64250445,64369570,64473792,64730914,64821324,65494060,65516170,65543279,65586354,66108946,66582923,66871895,66906383,67548420,67807210,67826380,67846559,68404911,68513122,68533808,68702023,68936514,69156500,69458674,69461541,69709752,69961371,70157260,70317874,70511070,70609825,70722455,70941426,70996011,71175016,71512431,71520754,71700031,71703390,71731164,71896924,72051648,72131343,72533016,72721324,72839506,72850519,73160943,73463362,73608594,73635499,73984343,74152859,74372524,74528069,75211808,75408719,75411743,75495966,75590380,75604434,76235343,76483616,76488625,76503682,76770379,76942570,76953154,77070796,77100534,77243484,77826695,77916460,78423471,78592872,78619404,78679311,79387852,79896111,79919266,80071893,80246274,80529512,80623211,80806443,81058104,81311343,81368652,81391656,81599643,81626855,81694283,81916431,82803691,82987800,83250095,83329354,83645485,83654623,83677762,83826843,83941750,84147357,84188712,84613284,84728751,84731790,84866946,84928911,85116226,85228971,85286866,85454303,85828443,85948295,85953442,85975403,86044068,86427051,86635762,87206380,87323343,87919791,88069709,88122151,88147306,88416981,88520320,88637495,88867720,89067405,89733346,89739532,89876150,90380576,90395691,90595701,90708456,91070380,91190367,91565613,91761643,91786350,91852655,91874031,92323819,92331084,92387255,93248943,93346971,93361275,93392034,93499752,93836751,94228143,94294156,94386082,94639447,94712301,94920322,95005232,95378599,95988466,96651095,96950539,97151343,97589842,97636443,97905440,97952226,98217771,98237386,98244095,98247911,98308492,98444362,98457634,98795000,99304295,99585360,99861394,99900114,99976185,...,411789127927618345895744010709226148565354038205441590702413264431076087030524234472861507563893205358814052301901855361231979438687052894333497153161537084105864297540044202526648312988296870524283995398764558458892246842060527222001699716257520150742390512613288540907712651625438868040412991630940717562323456420543808886784413486345395315410388601686577300386872363113233393153031513916088831518880303240877305210357844794193669191878757759019108059221144899521582160122935195826590843055192484243857535974944911881233627834020113765056287987000023095727242869955740798263584290728380408794008901785672618841946351861310772334806211371090810199060100087221561728941463274302036693973799818305319917945573704511853647278453665425150665430588044690811268804731292113601661036146489663107654570945839788581929597824357667713954612752861985844387807182867700499319956678559892141623303914261802489594751400811605679556721896853012175340175885472489659309300299265484991988477173654436029131702491587045324363959943076178784118451448954547516919953014506430858849553713362356392620866738000261606595957795192524194087477672132060921434447619060575693302158569103615407500524529209217068990871496968954640864987190040816896946678291112116352126341424993277924451804840473338039149761431025930945790482877321562538846628134386458547441887124384778393081880756684691844581836166402556281382018509032089214181392934994081243810594855915590890534731494565778878119119399302585490624636291051213496536844367193422970786824920211255980790805362404009757516971452247564064166103146574868159131987317063153432438012445448471166841997083291049412082621978716346036869854288476092271010372786043949399671278847807299104154309510908408504158814192888136152327147174243097462222906564645050838311408129603358187546385406392241544977831996242053073777098381307136431061197085376113268132028523655352695757901897888046704224248753807969457452281668231385768681294455545007768493849247276527657180412612637582429484045727168550393731067086642888583798655493117434017518850863252165938322011437057417796227628490425343521292615461125299847674576444940524363345856038165445551018548202432498065711223842085377672085197887291515453933371580479522921181515250713679536586362173939165620817951597741776711769979408196091941530580461321676537764296295083175334860628021185413982770473427040621708940354415962198146796934098609475629961412381003621986571553134481257894412072484970579764185054282943835446921060265095739407746834885574358876444611504824927953278749307622646725671999993299342230685411310325364446467001171322040614097512200515049639518406530213516384399830426147708017297749600220687113281458856296662437944540431991830892302789104968923074826391241177537054600605282452883588327821263411566038172241439999202636861138569878956376170079747852321715374479238074549855626815400867710225574721938967743022617151300963529151949997945216255073127248479506635915311585147153518906214703777725374183830929346228566827678737892058236928891860937732306824120588928195831704107191733142060737748188266777710827742925042092550361939305749713037426274703843445582107}
19786 129727264296043302255595164815593256252147329075047283770402182593077792: {276878,395540,454549,474648,533979,927733,1163893,1224686,1501988,1753033,1817828,2291348,2449124,2642078,2687768,3023739,3395108,3819278,4054286,4439893,4555849,4582232,5155011,5395299,5631315,5755028,6006736,6171673,6422975,6474392,6540068,6757578,6859849,6974293,7053963,7096286,7283691,7431349,7608755,7707570,7951124,8221408,8364248,8397575,8476611,9021973,9130506,9249084,9409779,9419726,9540699,10077090,10748896,10806878,10869650,11037566,11194712,11357975,11954195,11958878,12092508,12188846,12382933,12385131,12586483,12594051,13043580,13078808,13096239,13107278,13557418,13569428,13629570,13913152,14035748,14252078,14345034,14538208,14635491,14697049,14713659,15337203,15393278,15588068,15652296,15679093,15896533,15899555,16355484,16517924,16763413,17446628,17608833,17840533,17910548,17980690,18041055,18258575,18390043,18469055,18483349,18683108,18837524,19017049,19079466,19243792,19367740,19609124,20639795,21045278,21300202,21576828,21649266,21824855,21910290,21919124,21941246,22162866,22164878,22181449,22713650,22841108,23057966,23241288,23343315,23367799,23370976,23739349,23864451,24221924,24375188,24429363,24615326,24767754,24899536,25281049,25686700,25854059,26146449,26189826,26271490,26291243,26292348,26299849,27128468,27256380,27412213,27433748,27668200,27730563,27891428,27928766,28011978,28315849,28635855,29073472,29082575,29414948,29709913,30204373,30428860,30544912,30697033,30774206,30824040,30862808,30893593,31068323,31087124,31126725,31525788,31694228,32450915,32677323,32707656,32878976,32908498,33012575,33082179,33133333,33201840,33382570,33615193,33654995,34363026,34677045,34720659,34722068,34764313,34899090,35240053,35415296,35508248,35524633,35619349,35778788,36186133,36514632,36776362,36795003,36796113,36934370,36988848,37055625,37208015,37225696,37247726,37352070,37362392,37461278,37530700,37591753,38796853,38889049,38901575,38941098,39239828,39526000,39545506,39615090,39715573,39842208,39946779,40059084,40172233,40289828,40354393,40385994,40755039,40858526,41078961,41604243,41612454,41621449,41711413,41878908,41912606,42032691,42256096,42607093,43129715,43281188,43469800,43728788,43803575,43877924,44077187,44321244,44376853,44466750,44636366,44649618,44822484,45036840,45598549,45677486,45945013,45962468,46031449,46111124,46358450,46654355,46681890,46730866,46887711,46891849,47012140,47431200,47447588,47454891,47538108,47748926,48039296,48161486,48168949,48438872,48903525,48927433,48984878,49011349,49077524,49225508,49358168,49763353,49794016,49846549,50344213,50555924,50593280,50666445,50674549,51495349,51755658,52163760,52227913,52537660,52564290,52572455,52577162,52632373,52821843,53205855,53360100,53503124,53834953,53876846,53946008,54025643,54044208,54091028,54218696,54280766,54390613,54493731,54546531,54861848,55178293,55527939,55630140,55641344,55777112,55890686,55985226,56018268,56068576,56077359,56414568,56493580,56577973,56752912,56917440,57092078,57169124,57421849,57475055,57726553,58181449,58483988,58500339,58684230,58775828,59008693,59338816,59753173,59967082,60072878,60270446,60344792,60490453,60689259,60711936,60799734,60996033,61396628,61510549,61719579,62041415,62167832,62238206,62278139,62413028,62596512,62749251,62825726,62967410,63014233,63045192,63077148,63086946,63297049,63367573,63466389,63469023,63719113,63726819,63847026,64032120,64762933,64921571,64969753,65308388,65654473,65810332,66123695,66129493,66466633,66709406,66751268,66756168,66758380,66923164,67094606,67160200,67311483,67401049,67792296,67797193,67887891,68300928,68312751,68321353,68768763,68970066,68970073,69011966,69034549,69938811,70132667,70245913,70326755,70371913,70421076,70463323,70685653,70914926,70925841,70935349,71217699,71245849,71248472,72036135,72105673,72614325,72831433,73130773,73368949,73665049,73665123,73959349,73961432,74159423,74310133,74449698,74773813,75053800,75100689,75222843,75346933,75403849,75555225,75560892,75584015,75767192,75767828,76166606,76193113,76266333,76748233,76838544,76924595,77179490,77455280,77461886,77470868,77675413,77759255,77836873,77895908,78423349,78745124,78769415,78816291,79083004,79083455,79295955,79318923,79348434,79369899,79593188,80016788,80031278,80110056,80154531,80213726,80271512,80592240,80944863,81026655,81567524,81668126,81759253,81812283,81867575,81951349,82142293,82411748,82614613,82913091,82933166,82940953,83129578,83206611,83401033,83578911,84033049,84392106,84435525,84582352,84694549,84782975,84868213,84954613,85083673,85126549,85169353,85238091,85442078,85593433,85667260,85965056,86010313,86175049,86428432,86443362,86445625,86822473,87021013,87137190,87412693,87448472,87696575,87911113,88174453,88317779,88323349,88471093,88507849,88690549,88726873,88968770,89152526,89368393,89537987,89663955,89748949,89852078,89871155,90064560,90123813,90220693,90305451,90666270,90700818,90723278,90870133,90901655,91059349,91184053,91206548,91399513,91566699,91590878,91915352,91937353,92105363,92226073,92254549,92309514,92367733,92423893,92454878,92535349,92563033,92615388,92808949,92943049,92946336,92965655,93110811,93143486,93281828,93311106,93561673,93709849,93807193,93831349,93974773,94014760,94321993,94487975,94523298,94544473,94588568,94609813,94661348,94854926,94900146,95025278,95129113,95155146,95195486,95324233,95349908,95530549,95603413,95604520,95623899,95641552,95967049,96048949,96068864,96129049,96175124,96222793,96268693,96338495,96373273,96431449,96445813,96554355,96639349,96692053,96710688,96720878,96756313,96781513,96949849,97096371,97231986,97353049,97395575,97427893,97466953,97546549,97547924,97695049,97714633,97741849,97746133,97798549,97841173,97850713,97870153,98144792,98241090,98274255,98379531,99163419,99234815,99403886,99760906,...,549052170570157794527658680945634864753805384273922120936551019241434782707365645963815343418524273811752069735869140481642639251582737192444662870882049445474485730053392270035531083984395827365711993865019411278522995789414036296002266288343360200989854016817718054543616868833918490720550655507920956749764608560725078515712551315127193753880518135582103067182496484150977857537375351888118442025173737654503073613810459725591558922505010345358810745628193199362109546830580261102121124073589978991810047966593215841644837112026818353408383982666697460969657159940987731018112387637840545058678535714230158455928469148414363113074948494787746932080133449628748971921951032402715591965066424407093223927431606015804863037938220566867553907450726254415025072975056151468881381528652884143539427927786384775906130432476890285272817003815981125850409577156933999093275571413189522164405219015736652793001867748807572742295862470682900453567847296652879079067065687313322651302898205914705508936655449393765818613257434905045491268598606063355893270686008574478466071617816475190161155650667015475461277060256698925449970229509414561912596825414100924402878092138153876667366038945622758654495329291939521153316253387755862595571054816155136168455233324370565935739787297784052199681908034574594387310503095416718462170845848611396589182832513037857442507675579589126109114888536741708509358012042785618908523913325441658414126474554121187379641992754371837492159199070113987499515054734951328715792489591230627715766560281674641054407149872013010022628602996752085554804195433157545509316422750871243250683260597961555789329444388065882776829304955128049159805717968123028013830381391932532895038463743065472205746014544544672211752257184181536436196232324129949630542086193401117748544172804477583395180541856322059970442661656070765036131175076181908081596113834817690842704698207136927677202530517395605632331671743959276603042224308514358241725940726677024658465663035370209573883483516776572645394302891400524974756115523851445064873990823245356691801151002887917762681916076557061636837987233791361723487281500399796899435259920699151127808050887260734691397603243330754281631789447170229446930516388687271911162107306030561575353667618239382115149565252220827757268796989035615693305877594789255374107281762235383685728393444233779814170694913885310360631236054162278587139221282930862395912131479300839948549841338162648762070845975010525882763313294106352246739043925113929228080353460985876995779847432478501926148673099903937704999076830195634229333324399122974247215080433819261956001561762720818796682934020066186024542040284688512533107234863610689730332800294249484375278475062216583926053909322441189737052139958564099768521654903382739467473709937178117770428351215421384229655253332270182481518093171941834893439663803095620499305650766066474169087201156946967432962585290324030156201734618038869266663926955006764169664639342181220415446862871358541619605036967165578441239128304755770238317189410982571855814583643075765494118570927775605476255644189414316997584355703614436990566722790067149252407666284049901699605124594109476}
19787 130232863055130999589690838911472146837411349961827219983571838484674443: {415317,494425,593310,632864,711972,1837029,1877485,2252982,2272285,2351797,2726742,2826109,2864185,3061405,3359710,3437022,3673686,3694933,3963117,4009453,4031652,4243885,4782646,4997509,5092662,5255894,5665093,5708617,5727790,5728917,5905549,6081429,6379573,6678542,6873348,7193732,7193785,7318717,7508420,8033773,8092990,8175085,8632542,9010104,9405284,9711588,9757982,9795373,9810102,9938905,9994006,10136367,10276760,10402453,10455310,10644429,10876189,11302148,11416078,11443957,11561355,11926686,12053197,12174008,12332112,12546372,12720932,12796333,13436120,13695759,13873626,13993390,14129589,14420437,14525533,15115635,15367333,16123344,16210317,16304475,16348510,16513508,16556349,16787677,16792068,16838318,16961785,17116693,17391440,17461652,17544685,17734573,17765017,17938317,18138762,18172760,18283269,19126712,19273573,19462654,19485085,19513988,19565370,19618212,19660917,20336127,20354142,20397718,20438233,20444355,20449604,20647405,20869728,20883862,21053622,21314077,21378117,21517551,21787094,21807312,21808285,22093789,22388185,23089917,23353885,23382102,23443513,23478444,23546905,23776693,24054740,24209675,24443977,24511405,24533226,24776886,25439288,26169942,26571253,26726798,26865822,26971035,27004957,27398905,27499438,27778357,28024662,28256286,28551385,28619199,28716013,28769104,28865688,28882009,29051610,29213720,29413686,29550488,29777353,29898553,30277405,30353077,30468985,30988384,31069717,31124420,31567917,31819268,31950303,32108375,32365242,32473899,32572484,32692093,32865435,32878686,32911869,33023672,33180814,33244299,33247317,33704989,33910585,34070475,34261662,34292185,34585250,34586949,34843993,34861932,34864285,34919768,35056464,36021733,36025813,36332886,36341840,36431833,36562782,36768685,36922989,36974084,37151631,37304509,37349304,37388702,37571029,37959973,38036075,38181140,38530050,38578510,38586493,38625817,38858905,39284739,39407235,39438522,39536254,39617785,39807637,39970813,40535533,40692702,40884570,41098720,41150622,41502300,41574709,41837142,41893149,42017967,42034384,42384013,42854053,43188397,43402585,43569764,43610208,44109572,44122422,44269120,44385310,44723485,45230798,45643290,45817368,46161309,46236060,46294212,46532120,46576909,46630686,46702990,46913375,47202757,47288682,47441359,47541342,47548558,47622853,47963509,48004117,48050542,48624589,48686176,48804973,48877246,49040317,49049785,49060004,49061484,49318464,49362747,49407500,49658798,49802760,50073855,50088709,50136697,50153654,50362285,51544539,51921464,52083102,52348635,52801693,52820120,53122944,53262372,53412112,53668182,53726734,53847992,54101485,54337250,54340052,54396853,54575413,54660985,54771948,54847405,55164543,55283929,55306393,55401555,55472324,55483272,55652917,55838544,55871589,56028105,56043588,56191917,56296050,57453085,57634777,57638905,57721213,58411647,58765175,58859742,59094992,59100374,59189689,59289000,59309485,59318259,59422635,59532824,59763312,60049120,60088626,60434742,60548590,60578991,61287789,61346905,61531885,61697710,62242520,62342413,62418681,62516948,62793709,62818362,62868909,63194905,63241600,63273188,63384144,64232137,64716253,64743673,64921782,65204700,65593182,65672075,65746813,65816886,66208693,66296293,66481866,66700125,66878905,66954549,66974427,67011109,67233726,67403134,67432510,67555260,67613785,67773370,68516229,68577310,68943702,69007544,69166686,69537675,69551680,69721390,70022835,70085720,70096299,70158133,70170109,70237573,70429124,70518210,70616975,70941140,71044933,71146800,71171382,71307162,71461405,71526718,71623389,72058944,72242229,72658308,72728708,72846902,73001293,73104985,73254253,73469785,73477317,73616286,73838262,74009558,74037252,74160493,74173520,74580253,74646968,74691024,74769812,75219424,75272077,75416437,75419509,75430990,75624878,75833886,75889920,75912238,76068409,76073113,76517413,76677733,76745785,77633487,77709790,77719933,78000452,78016285,78245640,78688909,78806490,78846435,78865743,79354453,79610509,80040150,80182297,80254686,80425933,80815269,80919012,80949248,81066312,81136542,81328044,81421149,81524029,81635485,81779798,82262915,82287766,82292772,82764997,82956973,83102942,83439085,83445210,83447975,83462016,83653955,83665668,83686358,83836029,83950250,83977839,84027402,84060256,84102864,84115928,84280333,84621852,84625364,84628093,84730489,84740370,84846718,84969092,85129368,85376160,85638117,85753686,85876693,86875669,87215797,87635197,87725982,88026345,88078627,88163742,88205173,88867118,89008224,89060590,89076206,89122969,89178073,89748644,89950623,90109317,90117398,90389728,90405669,90517188,91067904,91083668,91199601,91345006,91691684,91722638,91960088,92094942,92451790,93098953,93251748,93357309,93619542,93620653,93817250,93894768,94209709,94238589,94451115,94567788,94615722,94630419,94708990,94709785,94890709,94930094,94956932,95770539,96048180,96547789,96819100,96838585,97014937,97116613,97369885,97578398,97962582,98220164,98431405,98715498,98853755,99011437,99190333,99266264,99491485,...,823578255855236691791488021418452297130708076410883181404826528862152174061048468945723015127786410717628104603803710722463958877374105788666994306323074168211728595080088405053296625976593741048567990797529116917784493684121054444003399432515040301484781025226577081815425303250877736080825983261881435124646912841087617773568826972690790630820777203373154600773744726226466786306063027832177663037760606481754610420715689588387338383757515518038216118442289799043164320245870391653181686110384968487715071949889823762467255668040227530112575974000046191454485739911481596527168581456760817588017803571345237683892703722621544669612422742181620398120200174443123457882926548604073387947599636610639835891147409023707294556907330850301330861176089381622537609462584227203322072292979326215309141891679577163859195648715335427909225505723971688775614365735400998639913357119784283246607828523604979189502801623211359113443793706024350680351770944979318618600598530969983976954347308872058263404983174090648727919886152357568236902897909095033839906029012861717699107426724712785241733476000523213191915590385048388174955344264121842868895238121151386604317138207230815001049058418434137981742993937909281729974380081633793893356582224232704252682849986555848903609680946676078299522862051861891580965754643125077693256268772917094883774248769556786163761513369383689163672332805112562764037018064178428362785869988162487621189711831181781069462989131557756238238798605170981249272582102426993073688734386845941573649840422511961581610724808019515033942904495128128332206293149736318263974634126306864876024890896942333683994166582098824165243957432692073739708576952184542020745572087898799342557695614598208308619021816817008317628385776272304654294348486194924445813129290101676622816259206716375092770812784483089955663992484106147554196762614272862122394170752226536264057047310705391515803795776093408448497507615938914904563336462771537362588911090015536987698494553055314360825225275164858968091454337100787462134173285777167597310986234868035037701726504331876644022874114835592455256980850687042585230922250599695349152889881048726691712076330891102037096404864996131422447684170755344170395774583030907866743160959045842363030501427359073172724347878331241635903195483553423539958816392183883061160922643353075528592590166350669721256042370827965540946854081243417880708831924396293593868197218951259922824762007243973143106268962515788824144969941159528370108565887670893842120530191478815493669771148717752889223009649855906557498615245293451343999986598684461370822620650728892934002342644081228195024401030099279036813060427032768799660852295416034595499200441374226562917712593324875889080863983661784605578209937846149652782482355074109201210564905767176655642526823132076344482879998405273722277139757912752340159495704643430748958476149099711253630801735420451149443877935486045234302601927058303899995890432510146254496959013271830623170294307037812429407555450748367661858692457133655357475784116473857783721875464613648241177856391663408214383466284121475496376533555421655485850084185100723878611499426074852549407686891164214}
19788 130740418408526169222719826187660065128495388586152612470939988010327722: {217547,553756,573011,730787,791080,889965,909098,949296,1067958,1203347,1399907,1557011,1753211,1855466,1988387,2105867,2327786,2449372,2496947,3003976,3379473,3506066,3510011,3635656,3743027,4090113,4130747,4479011,4582696,4898248,5019467,5039565,5155533,5284156,5375536,5481467,5510529,6047478,6057347,6172307,6440267,6746027,6790216,6975011,7127507,7173969,7638556,7638993,7698227,7774187,7883841,7926011,8108572,8591685,8879786,8992165,9111698,9164464,9249011,9385525,9399587,9625211,10017813,10038107,10310022,10652257,10711667,10790598,10935611,11084747,11262630,11510056,11642867,11756605,12013472,12088067,12139485,12343346,12384227,12845950,12948784,12948813,13080136,13379987,13515156,13527011,13710611,13719698,13948586,14107926,14127685,14192572,14296787,14406467,14567382,14636973,14715153,14862698,14953787,14991009,15217510,15354011,15415140,15682965,15717011,15901165,15902248,16442816,16584947,16728496,16735873,16795150,16953222,17124117,17340611,17520011,17890029,18043946,18261012,18498168,18627827,18819558,18839452,19081398,19338467,19480211,20010611,20154180,20327987,20504027,20641885,20715011,20810439,20855507,20990085,21451187,21497792,21613756,21739300,21800507,21827065,22075132,22259377,22322987,22389424,22715950,23155211,23908390,23917756,24154667,24185016,24377692,24392485,24497747,24522765,24765866,24770262,25079147,25172966,25188102,25257477,25562005,25856677,25896011,26087160,26157616,26192478,26214556,26539427,26742011,27112667,27114836,27138856,27208143,27213587,27259140,27415211,27826304,27951467,28071496,28419011,28504156,28618907,28690068,28895713,29051027,29076416,29193981,29216867,29270982,29348055,29394098,29415611,29427318,30043067,30068425,30207707,30240611,30531213,30554797,30596577,30674406,30733211,30786556,31071469,31176136,31304592,31325793,31358186,31419827,31517627,31580433,31793066,31799110,32394587,32556347,32680641,32710968,32879267,33035848,33458507,33526826,33618947,33651011,34099067,34768211,34799987,34893256,35073153,35217666,35528627,35560211,35681066,35821096,35961380,36001547,36082110,36190211,36517150,36717109,36780086,36799839,36848267,36938110,36966698,37165329,37366216,37596011,37627067,37675048,38034098,38091947,38158932,38370011,38487584,38735480,38801267,38905525,39218248,39254913,39261587,39750611,39774085,40090197,40176827,40298733,40389347,40715605,40813211,41084867,41249157,41279590,41295707,41716211,41895947,42036993,42090556,42284387,42384429,42433427,42600404,42730907,43153656,43298532,43577415,43649710,43677467,43820580,43838248,43882492,43942211,44059667,44120529,44325732,44329756,44362898,44382011,44994707,45427300,45431281,45682216,45719507,45979211,46115932,46217605,46295747,46482576,46686630,46725827,46735598,46741952,47097107,47116993,47239547,47478698,47580587,47726425,47728902,48287387,48371867,48428147,48443848,48547863,48750376,48793187,48858726,49101011,49212707,49230652,49318029,49535508,49769267,49771221,49799072,50377787,50562098,50927627,51373400,51392493,51583211,51708118,51877875,52091221,52234187,52292898,52379652,52542980,52582486,52584696,52599698,52665611,52826867,53362307,53868011,54256936,54423587,54462205,54499329,54502667,54512760,54824426,54844173,54867496,55136965,55211147,55336400,55341707,55461126,55782856,55810067,55857532,56023956,56083053,56353211,56610611,56631698,57271710,57505211,57733667,57759011,57795075,57867765,57910907,58146944,58165150,58829896,59157783,59240147,59304381,59414027,59419826,59488427,59537987,59760611,59859347,60381601,60408746,60717827,60857720,61039053,61089824,61325005,61326855,61373387,61394066,61548412,61648080,61725616,61725933,61735067,61759375,61787186,62047067,62094947,62136646,62174248,62253450,62310011,62755713,63051576,63163787,63388456,63399107,63469547,63727211,63750587,63820667,64632947,64771211,64901830,65001011,65316097,65354646,65415312,65685611,65757952,65799011,65816996,66025150,66160547,66164358,66183633,66266666,66403680,66577965,66765140,66899747,67010987,67144211,67230386,67309990,67674227,67846197,67925065,68330267,68464935,68590667,68726052,68979107,69000611,69300827,69340405,69354090,69441318,69444136,69450347,69528626,69798180,69946029,70054485,70276211,70381211,70402187,70465067,70480106,70830592,70933023,71016496,71049266,71238698,71312013,71322837,71557576,72075813,72257267,72372266,73029264,73041011,73140611,73315869,73319387,73517267,73552724,73590006,73592226,73601437,73615907,73868740,73977696,74028011,74111250,74145107,74416030,74436587,74451392,74488197,74495452,74704140,74724784,74922556,75061400,75090611,75183506,75230481,75546707,75829427,76110347,76147667,76203587,76725493,76869011,77252387,77524067,77578187,77593706,77686211,77778098,77803150,77865611,77882196,78062027,78124653,78146185,78383569,78479656,78645467,79052000,79091012,79091485,79230180,79289267,79375427,79431146,79684416,79786211,79893558,80118168,80309987,80344466,80443907,80465077,80502273,80579656,80590101,80610587,80708786,80771988,80958011,81056627,81301907,81505875,81510078,81593867,81674507,81717052,81787067,82157922,82579667,82782467,82884061,82953011,83014787,83208486,83224908,83242898,83245307,83337011,83422826,83428427,83504387,83757816,83825212,84065382,84223427,84326747,84400307,84444075,84512192,84981587,85053347,85214186,85238987,85451507,85606211,85829507,86023211,86036987,86259430,86310827,86514107,86562376,86568011,86688827,86835611,86848907,86857981,86939600,87283187,87438947,87457576,87555011,87607150,87619211,87755848,88036405,88154374,88188011,88200467,88289613,88497011,88642488,88650561,88676425,88740611,88752707,88753706,88921211,88933500,89206427,89272732,89277011,89299236,89323907,89498627,89644968,90073680,90132939,90246011,90367187,90509147,90563387,90652113,90692747,90735611,90822885,90884627,90910885,91146827,91197098,91209011,91322267,91354972,91424387,91725947,91890026,91924936,91962011,92062898,92097587,92155211,92193467,92222248,92335787,92382827,92392211,92448347,92522747,92546565,92573173,92587427,92716900,92806211,92940611,92993867,93020387,93038027,93151907,93308710,93363780,93461732,93462265,93577307,93627011,93775422,93783698,93831011,93919187,94024280,94108211,94227543,94338011,94345547,94560611,94625987,94633211,94712147,94862400,94895176,94908707,94909782,94922507,94991027,95052011,95076216,95145587,95250611,95321627,95340827,95404307,95497852,95589947,95626211,95715611,95854907,95950787,96022547,96049787,96078592,96285947,96291011,96322972,96337898,96390611,96510611,96538667,96561827,96607547,96761267,96778211,96799211,96877744,96960011,96983027,97001987,97090211,97104467,97177211,97194011,97318187,97348067,97353947,97382673,97382867,97391387,97408211,97438307,97485467,97500565,97551347,97644227,97665611,97676867,97708907,97752107,97807050,97815611,97821011,97831211,97844147,97849211,97852427,97854866,97860611,97861307,97870211,97878467,97888211,97889867,97890011,97891187,97969756,98022698,98155048,98389773,98451016,98457457,98716336,98725329,99526706,99588032,99693098,99722799,...,1235367383782855037687232032127678445696062114616324772107239793293228261091572703418584522691679616076442156905705566083695938316061158683000491459484611252317592892620132607579944938964890611572851986196293675376676740526181581666005099148772560452227171537839865622723137954876316604121238974892822152686970369261631426660353240459036185946231165805059731901160617089339700179459094541748266494556640909722631915631073534382581007575636273277057324177663434698564746480368805587479772529165577452731572607924834735643700883502060341295168863961000069287181728609867222394790752872185141226382026705357017856525839055583932317004418634113272430597180300261664685186824389822906110081921399454915959753836721113535560941835360996275451996291764134072433806414193876340804983108439468989322963712837519365745788793473073003141863838258585957533163421548603101497959870035679676424869911742785407468784254202434817038670165690559036526020527656417468977927900897796454975965431520963308087395107474761135973091879829228536352355354346863642550759859043519292576548661140087069177862600214000784819787873385577572582262433016396182764303342857181727079906475707310846222501573587627651206972614490906863922594961570122450690840034873336349056379024274979833773355414521420014117449284293077792837371448631964687616539884403159375642325661373154335179245642270054075533745508499207668844146055527096267642544178804982243731431784567746772671604194483697336634357358197907756471873908873153640489610533101580268912360474760633767942372416087212029272550914356742692192498309439724604477395961951189460297314037336345413500525991249873148236247865936149038110609562865428276813031118358131848199013836543421897312462928532725225512476442578664408456981441522729292386668719693935152514934224388810074562639156219176724634933495988726159221331295143921409293183591256128339804396085570966058087273705693664140112672746261423908372356845004694157306043883366635023305481547741829582971541237837912747288452137181505651181193201259928665751395966479352302052556552589756497814966034311172253388682885471276030563877846383375899543023729334821573090037568114496336653055644607297494197133671526256133016255593661874546361800114741438568763544545752141038609759086521817496862453854793225330135309938224588275824591741383965029613292888885249526004581884063556241948311420281121865126821063247886594440390802295828426889884237143010865959714659403443773683236217454911739292555162848831506340763180795287218223240504656723076629333834514474783859836247922867940177015999979898026692056233930976093339401003513966121842292536601545148918555219590640549153199491278443124051893248800662061339844376568889987313833621295975492676908367314906769224479173723532611163801815847358650764983463790234698114516724319997607910583415709636869128510239243556965146123437714223649566880446202603130676724165816903229067851453902890587455849993835648765219381745438519907745934755441460556718644111333176122551492788038685700483036213676174710786675582813196920472361766784587495112321575199426182213244564800333132483228775126277651085817917249139112278824111530336746321}
19789 131249937874406701840386361574947854515331578545443225994083933203971931: {692195,830634,988850,1186620,1265728,1363647,1423944,1601937,2628479,2783199,3061715,3181199,3339947,3491679,3674058,3754970,4009859,4129631,4285967,4366739,4505964,4544570,4703594,5259099,5453484,5652218,5728370,5906147,5941439,6122810,6380219,6605195,6719420,6874044,7130111,7347372,7389866,7926234,8018906,8063304,8487770,9071217,9494459,9548195,9565292,9995018,10071299,10135715,10185324,10511788,11330186,11417234,11445119,11455580,11457834,11626271,11811098,12162858,12759146,13230107,13319679,13357084,13667547,13746696,13914467,14387464,14387570,14637434,15016840,15122939,15465033,16067546,16116959,16185897,16185980,16350170,16893945,17118431,17166539,17265084,17740715,18020208,18515019,18810568,18957647,19268925,19423176,19515964,19590746,19620204,19855019,19877810,19988012,20228819,20272734,20553520,20579547,20804906,20910620,20922879,20999627,21161889,21288858,21752378,21851073,22294047,22604296,22777859,22826265,22832156,22842731,22887914,23122710,23549315,23746499,23853372,24106394,24348016,24446459,24562559,24587099,24664224,25060307,25092744,25192725,25429833,25441864,25592666,26573951,26872240,27017195,27065919,27174125,27279119,27319739,27391518,27593915,27747252,27986780,28229337,28259178,28622097,28840874,28906367,29051066,29897195,30231270,30356159,30472115,30531599,30734666,31046399,31343459,31357019,32246688,32420634,32608950,32695439,32697020,32768195,32965667,33027016,33112698,33280571,33575354,33584136,33676636,33893545,33923570,34073925,34233386,34315967,34782880,34847531,34923304,35089370,35469146,35530034,35630195,35771279,35862585,35876634,36029471,36277524,36345520,36566538,37148799,37155393,37247027,37759449,37782153,38253424,38358467,38483195,38547146,38629739,38925308,38970170,39017627,39027976,39130740,39236424,39288717,39321834,39811679,39971939,40672254,40708284,40717931,40795436,40876466,40888710,40899208,41294810,41677379,41739456,41767724,42107244,42388367,42571139,42628154,42656579,42756234,43035102,43331087,43574188,43614624,43616570,43906473,44087147,44091147,44140977,44187578,44776370,44951725,45089171,45602219,46011609,46179834,46707770,46764204,46887026,46956888,47037279,47093810,47474819,47553386,47689599,47698665,48009059,48109480,48419350,48809999,48887954,49022810,49066452,49133747,49237187,49553772,49945919,50290239,50645699,50878576,51476159,51701987,52339884,52613195,52826499,53142506,53250505,53453596,53521599,53731644,53942070,54009914,54063707,54123165,54336539,54402467,54775725,54797810,54853115,54998876,55170129,55407165,55412195,55450047,55464899,55556714,56049324,56425427,56512572,56684147,56784125,57051147,57102770,57238398,57432026,57538208,57644915,57731376,57764018,58103220,58150367,58427440,58827372,59100976,59120627,59195747,59419547,59554706,59797106,60554810,60706154,60763619,60937970,61538315,61919385,61976768,62139434,62200319,62248840,62612879,63135834,63638536,63900606,64216750,64415339,64730484,64947798,65144968,65384186,65474565,65678725,65730870,65753567,65757372,65823738,66047344,66361628,66488598,66494634,66544347,67409978,67821170,68140950,68215979,68523324,68584370,68669699,69170500,69173898,69687986,69723864,69728570,69821915,69839536,70029945,70103397,70112928,70507199,70806527,70808099,71218047,71593353,71788859,72043466,72051626,72067787,72665772,72683680,72863666,73125564,73288089,73491647,73537370,73845978,73948168,73997951,74210747,74303262,74587931,74609018,74698608,74777404,75142058,75742079,75843147,75919946,76072150,76080899,76362280,76525379,76786367,76935515,77060100,77157020,77172986,77251634,77562177,77700779,77717810,78412031,78439347,78569478,78814470,78873729,78877044,78899547,79072508,79194947,79235570,79615274,79941626,80018507,80354507,80434319,80694467,81071066,81385404,81769140,82197440,82236639,82271245,82301244,83004600,83033279,83149418,83191689,83456425,83674284,83786298,84035934,84068768,84288959,84636827,84768026,84947547,85022891,85708106,85867811,85885667,85907565,86144639,86376794,86805170,87139528,87220416,87247725,87644219,88140299,88219144,88244844,88472867,88538240,88690271,88770620,89129739,89132147,89252459,89446970,89841107,90461596,90573971,90613119,90619139,91286580,91634736,91940905,92091099,92322618,92335925,92472120,92588424,92635019,92680779,93064240,93119315,93153818,93204969,93261372,93380175,93405980,93630467,93653195,93761579,93826750,94085147,94405514,94577364,94659299,94882718,95082684,95097116,95245706,95927018,96008234,96101084,97249178,97352745,97372352,97476479,97609946,97754492,98031969,98040059,98080634,98099570,98120008,98122968,98636928,98725494,98815000,98863765,99037725,99246537,99317596,99399999,99605520,99669611,...,1647156511710473383582976042836904594261416152821766362809653057724304348122096937891446030255572821435256209207607421444927917754748211577333988612646148336423457190160176810106593251953187482097135981595058233835568987368242108888006798865030080602969562050453154163630850606501755472161651966523762870249293825682175235547137653945381581261641554406746309201547489452452933572612126055664355326075521212963509220841431379176774676767515031036076432236884579598086328640491740783306363372220769936975430143899779647524934511336080455060225151948000092382908971479822963193054337162913521635176035607142690475367785407445243089339224845484363240796240400348886246915765853097208146775895199273221279671782294818047414589113814661700602661722352178763245075218925168454406644144585958652430618283783359154327718391297430670855818451011447943377551228731470801997279826714239568566493215657047209958379005603246422718226887587412048701360703541889958637237201197061939967953908694617744116526809966348181297455839772304715136473805795818190067679812058025723435398214853449425570483466952001046426383831180770096776349910688528243685737790476242302773208634276414461630002098116836868275963485987875818563459948760163267587786713164448465408505365699973111697807219361893352156599045724103723783161931509286250155386512537545834189767548497539113572327523026738767378327344665610225125528074036128356856725571739976324975242379423662363562138925978263115512476477597210341962498545164204853986147377468773691883147299680845023923163221449616039030067885808990256256664412586299472636527949268252613729752049781793884667367988333164197648330487914865384147479417153904369084041491144175797598685115391229196416617238043633634016635256771552544609308588696972389848891626258580203353245632518413432750185541625568966179911327984968212295108393525228545724244788341504453072528114094621410783031607591552186816896995015231877829809126672925543074725177822180031073975396989106110628721650450550329717936182908674201574924268346571554335194621972469736070075403453008663753288045748229671184910513961701374085170461844501199390698305779762097453383424152661782204074192809729992262844895368341510688340791549166061815733486321918091684726061002854718146345448695756662483271806390967106847079917632784367766122321845286706151057185180332701339442512084741655931081893708162486835761417663848792587187736394437902519845649524014487946286212537925031577648289939882319056740217131775341787684241060382957630987339542297435505778446019299711813114997230490586902687999973197368922741645241301457785868004685288162456390048802060198558073626120854065537599321704590832069190998400882748453125835425186649751778161727967323569211156419875692299305564964710148218402421129811534353311285053646264152688965759996810547444554279515825504680318991409286861497916952298199422507261603470840902298887755870972090468605203854116607799991780865020292508993918026543661246340588614075624858815110901496735323717384914267310714951568232947715567443750929227296482355712783326816428766932568242950992753067110843310971700168370201447757222998852149705098815373782328428}
19790 131761428999634410706113446972307628193960051342314760397002745669615157: {257101,435094,612529,730861,1107512,1146022,1245951,1439341,1461574,1483275,1582160,1779930,1818196,1898592,2027761,2135916,2145229,2406694,2799814,3114022,3506422,3549229,3710932,3782221,3976774,4211734,4655572,4898744,4993894,5511087,5520481,5632455,5981281,6007952,6096301,6758946,6784909,6816855,7012132,7020022,7055391,7128241,7242541,7271312,7486054,7926829,8180226,8261494,8399275,8478327,8592555,8835181,8958022,9165392,9184215,9796496,10038934,10076641,10079130,10311066,10413709,10568312,10751072,10962934,10974049,11021058,11084799,11085901,11644081,11889351,11956615,12028359,12094956,12114694,12344614,12589031,12731655,12880534,13139735,13492054,13528429,13580432,13950022,14078689,14255014,14319475,14347938,14992527,15277112,15277986,15391969,15396454,15548374,15767682,15852022,16217144,16459247,16586701,16696355,16995279,17125851,17183370,17186751,17716647,17759572,17984330,18223396,18244287,18328928,18498022,18736621,18771050,18799174,19138719,19250422,19375981,19778759,20035626,20076214,20232475,20620044,21068269,21304514,21423334,21488461,21581196,21581355,21871222,21956151,22169494,22261631,22525260,22950061,23020112,23157709,23285734,23513210,23985421,24026944,24101319,24176134,24278970,24394955,24525255,24686692,24768454,24985015,25691900,25897568,25897626,26136241,26138275,26160272,26759974,27030312,27054022,27149281,27250189,27421222,27439396,27897172,28215852,28255370,28385144,28540195,28555441,28593574,28755169,28812934,28898639,29134764,29253229,29273946,29386119,29430306,29451949,29725396,29816715,29907574,29982018,30046381,30145201,30243949,30409101,30435020,30557891,30638221,30708022,30830280,31207359,31365930,31423309,31434022,31521121,31802330,31804496,31933287,32009101,32398189,32628567,32882929,32885632,33169894,33365869,33456992,33462241,33471746,33590300,33654769,33906444,34149479,34248234,34331871,34681222,34684065,34803889,34983475,35040022,35564209,35780058,35786807,36037069,36087892,36159591,36414061,36522024,36720827,36883681,36996336,37255654,37631329,37639116,37678904,38162796,38388999,38676934,38960422,39020749,39296689,39480289,39938029,40021222,40120621,40308360,40627807,40655974,40848109,40871275,40938721,41008054,41087277,41283770,41300449,41430022,41570989,41620878,41711014,41980170,42095795,42388767,42824941,42902374,42995584,43227512,43261311,43392947,43478600,43576599,43601014,43654130,43976689,44150264,44518754,44645974,44778848,45346905,45431900,45898081,46101999,46310422,46329901,46845709,47529421,47614561,47816780,47835512,48309334,48370032,48630951,48656635,48755384,48784970,48798961,48913425,48995494,49045530,49531732,49540524,49669047,50158294,50345932,50363031,50376204,50514954,50885355,50994295,51043309,51124010,51207469,51350079,51713354,51792022,52174320,52209655,52315232,52384956,52429112,52634055,52913761,53078854,53203719,53295051,53315341,53475469,53484022,53814951,54033649,54225334,54229672,54277712,54416286,54427174,54467735,54518280,54588301,54830422,54849807,54982321,55374541,55652608,55683719,55902934,56142992,56463181,56838022,57001847,57008312,57232141,57237814,57380136,57537709,57766129,57791426,57820719,58102054,58152832,58372081,58387962,58433734,58455255,58541964,58696110,58788196,58831222,58854636,58982751,59866801,59940781,60086134,60136850,60415414,60481222,61008381,61062426,61109594,61193154,61314699,61333065,61348812,61405261,61466422,61573112,61694701,61838989,61942215,62142938,62341729,62352272,62609184,62651586,62716372,62769841,62839654,63035254,63160866,63195361,63586132,63598220,63758689,63828781,63942231,64134351,64456369,64552653,64664269,64704647,64789174,65112694,65361282,65421936,65424855,65758534,65830129,66071696,66281367,66573421,66816995,66917014,67041889,67053652,67164555,67237894,67302022,67308001,68164909,68198134,68621281,68748595,68945101,69009649,69264151,69269751,69331309,69536422,69599974,69778609,69786512,69842221,69905761,70061655,70146306,70330539,70411489,70435332,70640715,71057254,71120422,71223469,71330079,71362132,71532529,71642192,71922760,72003094,72164220,72380422,72569869,72629025,72990961,73034300,73331931,73434218,73534215,73560172,73599678,73645549,73696534,73876220,73881421,73933396,74057569,74174641,74330658,74524129,74697901,74732432,74986081,75192022,75254134,75350096,75839821,76068196,76120801,76176781,76183894,76247087,76317864,76740022,76975168,77191751,77470960,77602534,77811050,78090721,78144109,78436496,78509826,78523174,79196749,79501222,79548170,79713759,79814509,79865521,80170081,80180394,80353654,80597466,80778694,80913105,80969569,81014871,81068209,81362401,81431210,81605581,81626422,81702349,82169734,82196715,82498314,82559180,82591414,82952035,83257441,83335071,83349169,83432422,83667949,83791894,83983201,84073986,84181112,84250609,84568774,84768858,84821101,84866854,84897439,85200808,85461814,85506541,85548769,85654155,85855007,85857597,86049889,86148039,86255629,86307312,86463125,86597064,86646027,86862049,87100081,87154830,87178849,87299420,87354934,87641160,87645409,87676496,87764984,87884422,88119334,88214029,88241058,88473841,88651464,88659512,88725796,88764022,88766449,88838881,89232109,89302669,89332059,89337841,89477809,89685601,89695659,89924749,89989414,90523501,90685681,90717901,90832215,90846061,90854600,90862562,90877921,91059231,91347181,91364432,91406955,91439014,91530349,91740769,91770541,91958422,92122189,92231864,92350861,92407309,92435210,92591494,92635127,92965152,93009229,93167341,93209151,93271309,93322861,93373260,93451654,93471196,93471755,93483904,93798241,94038001,94131889,94178401,94194214,94233986,94361569,94479094,94540129,94649389,94692589,94703751,94957396,95095091,95161174,95247601,95325361,95344621,95452850,95457804,95533261,95850909,95854669,96072289,96308269,96325125,96338509,96427501,96446275,96499681,96528049,96556129,96574774,96718561,96743734,96856294,96887696,96894961,96966241,96977707,96977869,97076567,97095726,97111789,97225441,97283761,97321201,97330381,97357489,97421697,97500752,97529101,97586374,97599661,97657009,97686349,97697581,97717452,97789921,97831501,97841329,97850509,97864369,97865647,97871821,97880749,97898029,97904941,97909729,97910881,98076279,98202022,98425414,98461304,98596305,98636058,98735607,98840635,99071016,99538534,99542442,99598144,99732897,99741951,...,2470734767565710075374464064255356891392124229232649544214479586586456522183145406837169045383359232152884313811411132167391876632122317366000982918969222504635185785240265215159889877929781223145703972392587350753353481052363163332010198297545120904454343075679731245446275909752633208242477949785644305373940738523262853320706480918072371892462331610119463802321234178679400358918189083496532989113281819445263831262147068765162015151272546554114648355326869397129492960737611174959545058331154905463145215849669471287401767004120682590337727922000138574363457219734444789581505744370282452764053410714035713051678111167864634008837268226544861194360600523329370373648779645812220163842798909831919507673442227071121883670721992550903992583528268144867612828387752681609966216878937978645927425675038731491577586946146006283727676517171915066326843097206202995919740071359352849739823485570814937568508404869634077340331381118073052041055312834937955855801795592909951930863041926616174790214949522271946183759658457072704710708693727285101519718087038585153097322280174138355725200428001569639575746771155145164524866032792365528606685714363454159812951414621692445003147175255302413945228981813727845189923140244901381680069746672698112758048549959667546710829042840028234898568586155585674742897263929375233079768806318751284651322746308670358491284540108151067491016998415337688292111054192535285088357609964487462863569135493545343208388967394673268714716395815512943747817746307280979221066203160537824720949521267535884744832174424058545101828713485384384996618879449208954791923902378920594628074672690827001051982499746296472495731872298076221219125730856553626062236716263696398027673086843794624925857065450451024952885157328816913962883045458584773337439387870305029868448777620149125278312438353449269866991977452318442662590287842818586367182512256679608792171141932116174547411387328280225345492522847816744713690009388314612087766733270046610963095483659165943082475675825494576904274363011302362386402519857331502791932958704604105113105179512995629932068622344506777365770942552061127755692766751799086047458669643146180075136228992673306111289214594988394267343052512266032511187323749092723600229482877137527089091504282077219518173043634993724907709586450660270619876449176551649183482767930059226585777770499052009163768127112483896622840562243730253642126495773188880781604591656853779768474286021731919429318806887547366472434909823478585110325697663012681526361590574436446481009313446153258667669028949567719672495845735880354031999959796053384112467861952186678802007027932243684585073203090297837110439181281098306398982556886248103786497601324122679688753137779974627667242591950985353816734629813538448958347447065222327603631694717301529966927580469396229033448639995215821166831419273738257020478487113930292246875428447299133760892405206261353448331633806458135702907805781174911699987671297530438763490877039815491869510882921113437288222666352245102985576077371400966072427352349421573351165626393840944723533569174990224643150398852364426489129600666264966457550252555302171635834498278224557648223060673492642}
19791 132274899359863693200419099201021492037252514443771206369924008965663380: {652641,969073,1384390,1661268,1719033,1977700,2192361,2272745,2373240,2531456,2669895,2727294,2847888,3203874,3610041,3695681,4199721,4286401,4638665,4671033,4880473,5256958,5259633,5566398,5819465,5965161,6123430,6300569,6317601,6362398,6679894,6983358,7130833,7348116,7490841,7509940,7722641,8019718,8259262,8571934,8733478,8765165,8902289,9011928,9089140,9247273,9407188,10138419,10518198,10530033,10906968,11229081,11304436,11456740,11500841,11812294,11882878,12245620,12270339,12392241,12760438,13165913,13210390,13367473,13437033,13438840,13748088,14190001,14260222,14694744,14779732,15058401,15118695,15392729,15466599,15635581,15761873,15852468,16037812,16126608,16444401,16531587,16975540,17983361,18142434,18172041,18516921,18602561,18988918,19096390,19130584,19320801,19990036,20142598,20230873,20238081,20271430,20370648,20925033,21023576,21382521,21521907,22199465,22660372,22779245,22834468,22890238,22911160,22915668,22916979,23094681,23252542,23322561,23622196,23651523,23778033,24325716,24817741,24837001,25518292,25775055,26282761,26460214,26639358,26714168,26745113,26976495,26992573,27322513,27335094,27493392,27747033,27828934,28156575,28198761,28774928,28775140,28875633,29274868,30033680,30053439,30114321,30245878,30292733,30858365,30930066,31956771,32114875,32135001,32135092,32165201,32233918,32371794,32371960,32700340,32806833,32969041,33130829,33254241,33787890,34236862,34299245,34333078,34530168,34871465,34928601,35269815,35481430,36040416,36264201,36418455,37030038,37152681,37156745,37250809,37621136,37768781,37824073,37915294,38043775,38537850,38631481,38846352,38846439,39031928,39181492,39240408,39710038,39755620,39976024,40139961,40457638,40545468,40581033,41107040,41131833,41159094,41609812,41821240,41845758,41856073,41987875,41999254,42323778,42383055,42436361,42577716,42660961,42801581,42890361,43219401,43504756,43510673,43702146,43910919,44145459,44551681,44588094,44861361,44973027,45109865,45208592,45555718,45652530,45664312,45685462,45775828,45875473,46062033,46111741,46245420,47048895,47098630,47151033,47450963,47492998,47703495,47706744,48198769,48212788,48385721,48696032,48804073,48823841,48892918,49125118,49174198,49328448,49754841,49882273,50120614,50185488,50207619,50385450,50859666,50883728,51185332,51372351,51373289,51639001,52021833,52560033,53147902,53158381,53670087,53744480,53876473,54034390,54131838,54348250,54558238,54639478,54783036,55187830,55494504,55883481,55973560,56458674,56518356,56700961,56789875,57244194,57587069,57681748,57812734,58015401,58102132,58440633,59770975,59794390,60031833,60462540,60712318,60729073,60944230,60983961,61063198,61469332,61512081,61914665,61925655,62092798,62145033,62431317,62566521,62686918,62714038,62932415,62970255,63586001,64353561,64493376,64841268,65217900,65390878,65394040,65401521,65481195,65536390,65563373,65931334,66054032,66225396,66561142,66603449,66778131,66968961,67150708,67168272,67353272,67787090,67847140,67867481,68147850,68466772,68631934,68723161,69465633,69565760,69695062,69846608,70178740,70223101,70938292,71060068,71260390,71542558,71725170,71742989,71753268,72058942,72464001,72555048,72691040,73133076,73177455,73485245,73493241,73568295,73658473,74175761,74297598,74310786,74494054,74550707,75237441,75435041,75518898,75564306,75772431,76506848,76686015,76693529,76697561,76716934,76794361,76966390,77094292,77259478,77401901,77570031,77577073,77688033,77708761,77850616,77940340,78035254,78055952,78261480,78395465,78472848,78577434,78643668,79482665,79497775,79618281,79623358,79943878,80226033,80702881,81338001,81344508,81416568,81435862,81590872,81624429,81640761,81752932,81777420,81798416,82245633,82359929,82589620,82974089,83354758,83478912,83535448,83680441,83817065,83854401,84214488,84776734,85031593,85142278,85171021,85256308,85257033,85313158,85480769,85512468,85856721,86001761,86070204,86153641,86662174,86687139,87148376,87153081,87229248,87233140,87581943,87650601,87812946,88044165,88149373,88174294,88182294,88246833,88281954,88375156,88676201,89202665,89432449,89552740,89903450,90129201,90178342,90205275,90623121,90721833,91204438,91292875,91593639,91664391,91789729,91789731,91950215,92023218,92199633,92345275,92359668,92416745,93214407,93415540,93528408,93774052,93913776,93977379,94074558,94187620,94259481,94552881,94741299,94949638,95085245,95106772,95379198,95397330,95407801,96018118,96218960,96838700,97183761,97619998,97669041,97750681,97775908,97966649,98041923,98045620,98132904,98267494,98474374,98637801,99023641,99107544,99891838,...,3706102151348565113061696096383035337088186343848974316321719379879684783274718110255753568075038848229326470717116698251087814948183476049001474378453833756952778677860397822739834816894671834718555958588881026130030221578544744998015297446317681356681514613519596868169413864628949812363716924678466458060911107784894279981059721377108557838693497415179195703481851268019100538377283625244799483669922729167895746893220603147743022726908819831171972532990304095694239441106416762439317587496732358194717823774504206931102650506181023885506591883000207861545185829601667184372258616555423679146080116071053569577517166751796951013255902339817291791540900784994055560473169468718330245764198364747879261510163340606682825506082988826355988875292402217301419242581629022414949325318406967968891138512558097237366380419219009425591514775757872599490264645809304493879610107039029274609735228356222406352762607304451116010497071677109578061582969252406933783702693389364927896294562889924262185322424283407919275639487685609057066063040590927652279577130557877729645983420261207533587800642002354459363620156732717746787299049188548292910028571545181239719427121932538667504720762882953620917843472720591767784884710367352072520104620009047169137072824939501320066243564260042352347852879233378512114345895894062849619653209478126926976984119463005537736926810162226601236525497623006532438166581288802927632536414946731194295353703240318014812583451092009903072074593723269415621726619460921468831599304740806737081424281901303827117248261636087817652743070228076577494928319173813432187885853568380891942112009036240501577973749619444708743597808447114331828688596284830439093355074395544597041509630265691937388785598175676537429327735993225370944324568187877160006159081805457544802673166430223687917468657530173904800487966178477663993885431764227879550773768385019413188256712898174261821117080992420338018238784271725117070535014082471918131650099905069916444643225488748914623713513738241865356411544516953543579603779785997254187899438056906157669657769269493444898102933516760166048656413828091691633539150127698629071188004464719270112704343489009959166933821892482591401014578768399048766780985623639085400344224315706290633637256423115829277259565452490587361564379675990405929814673764827473775224151895088839878666655748578013745652190668725844934260843365595380463189743659783321172406887485280669652711429032597879143978210331321049708652364735217877665488546494519022289542385861654669721513970169229888001503543424351579508743768603820531047999939694080076168701792928280018203010541898365526877609804635446755665658771921647459598473835329372155679746401986184019533129706669961941500863887926478030725101944720307673437521170597833491405447542075952294950391370704094343550172959992823731750247128910607385530717730670895438370313142670948700641338607809392030172497450709687203554361708671762367549981506946295658145236315559723237804266324381670155932333999528367654478364116057101449108641028524132360026748439590761417085300353762485336964725598278546639733694400999397449686325378832953257453751747417336836472334591010238963}
19792 132790356559650601076535576201896215316997556479574260000101834400786835: {514202,573127,809791,870188,1046167,1225058,1461722,1635847,2076585,2215024,2292044,2472125,2491902,2575591,2878682,2923148,2966550,3164320,3559860,3636392,3797184,4055522,4090941,4271832,4290458,4557247,4673167,4805811,4813388,4904791,5599628,6228044,6976447,7012844,7098458,7421864,7547767,7564442,7775791,7885437,7953548,8117287,8349597,8423468,9185145,9311144,9387425,9476791,9543597,9702367,9797488,9987788,10019841,10475037,11022174,11040962,11264910,11361425,11758985,11962562,12015904,12029577,12192602,12388893,12497767,12857901,13100217,13517892,13569818,13633710,13713487,14024264,14040044,14110782,14130545,14256482,14320925,14482591,14485082,14542624,14972108,15307025,15777297,15853658,16360452,16522988,16660591,16739261,16798550,16956654,17185110,17670362,17718441,17824317,17916044,17953567,18330784,18368430,18395629,18474665,19129687,19140657,19592992,19661407,19815585,19873591,20047265,20077868,20153282,20158260,20402791,20622132,20827418,21136624,21219425,21390333,21502144,21925868,21948098,22042116,22169598,22171802,23288162,23374897,23778702,23850367,23913230,24056718,24189912,24229388,24689228,24987545,25178062,25463310,25761068,26279470,26299229,26409967,26612791,26984108,27056858,27118591,27160864,27213651,27823687,27900044,28157378,28325465,28425247,28483377,28510028,28543085,28638950,28644585,28695876,29123791,29527745,29985054,30213897,30407145,30554224,30555972,30783938,30792908,31096748,31296247,31535364,31704044,31897865,32434288,32563591,32918494,33173402,33392710,33530191,33818767,33990558,34010791,34152937,34251702,34335357,34366740,34373502,34878813,34979021,35433294,35519144,35631367,35968660,35968925,36446792,36488574,36574927,36593585,36657856,36996044,37324591,37473242,37542100,37598348,38277438,38500844,38751962,38902327,39557518,39690321,39820687,39956273,39959037,40071252,40152428,40168865,40368247,40464950,40631921,40875425,41002641,41240088,41725807,41743401,42136538,42353791,42609028,42621847,42846668,42976922,43162392,43162710,43397341,43742444,43912302,44338988,44523262,44830447,45050520,45179647,45368817,45407549,45900122,46040224,46047607,46134007,46315418,46395099,46571468,47026420,47970842,48014681,48053888,48202638,48350877,48352268,48439591,48557691,48557940,48789910,48976865,49028767,49050510,49112647,49373384,49536908,49694525,49864327,49947487,49970030,50681835,51355293,51383800,51499617,51595567,51795136,51795252,52003087,52012265,52272482,52276550,52320544,53222145,53519948,54060624,54108044,54298562,54380945,54410407,54500378,54842444,54878792,55198447,55355191,55545057,55794344,56431704,56510740,56770288,56872941,56906791,57080390,57110882,57187148,57219785,57510338,57519367,57625868,57797278,57806775,58269528,58506458,58547892,58772238,58860612,58903898,58934113,59450792,59552791,59565057,59633430,59775487,59815148,59964036,60092762,60265985,60290402,60487898,60686457,60818202,60870040,61025191,61115782,61170847,61276442,61416044,61660560,61738641,62110591,62414718,62731860,62768637,62846618,62868044,62998881,63038167,63042242,63179791,63391687,63485667,63604660,63608992,63866574,63981665,64018202,64796378,65257134,65553219,65611591,65765858,65771264,65951791,66339788,66731738,66882141,66913984,66924482,66943492,67161607,67180600,67309538,67625791,67812888,67823647,68119289,68298958,68333577,68413327,68478795,68496468,68528193,68663742,68738407,69061687,69362444,69368130,69607778,69966950,70080044,70336807,70647945,70838791,71128418,71239497,71392013,71560116,71573614,72074138,72102185,72175784,72319182,72627665,72828122,73044048,73093517,73339377,73441654,73687677,73761297,73767362,73992672,74040989,74048047,74165191,74340367,74456791,74511308,75180921,75262658,75278232,75357808,75434767,75578175,75605191,76168591,76254829,76289499,76325592,76558687,76777998,76835167,76836665,77353868,77545591,77920844,78041498,78350191,78593378,78960578,79721853,79808767,79876058,80042444,80241242,80416591,80616720,80666791,81014047,81051585,81197757,81255614,81311948,81522375,81649591,81696218,81742550,81794527,81837357,81857633,81877442,81959217,82016108,82174554,82567540,82600898,82781745,82837591,82860044,82977127,83141978,83241756,83422028,83528791,83619727,83845807,83938385,83960340,84070087,84191590,84688011,84775687,84777534,84808925,85164487,85207327,85583465,85649882,85804748,85866291,85991168,86455024,86522622,86719101,86741791,86785894,86821927,86957200,87153198,87202028,87308260,87645967,87723425,87953378,88289791,88300528,88548847,88672865,88768087,88825085,88948807,89037508,89291948,89375191,89445247,89549791,89557696,89691585,89995327,90129967,90230191,90395791,90693810,90863800,90945367,91068477,91416345,91594797,91796162,92203998,92299687,92328127,92384791,92608567,92620844,92659802,92854807,92881807,92989087,93068791,93139197,93543793,93633487,93691418,93756967,93878647,94030377,94071057,94370047,94680007,94744591,94885373,94955191,95058842,95198407,95229122,95296687,95599087,95633560,95671024,95761087,96018127,96248033,96367865,96498007,96618668,96740064,96770887,97003447,97147591,97230247,97261902,97313270,97390591,97425425,97450567,97510768,97567207,97569940,97597922,97741591,97756927,97766791,97790191,97799047,97803367,97826850,97856287,97859527,97887967,97928791,97990988,98086317,98091060,98304585,98897001,99063464,99081048,99338094,99841713,...,4941469535131420150748928128510713782784248458465299088428959173172913044366290813674338090766718464305768627622822264334783753264244634732001965837938445009270371570480530430319779755859562446291407944785174701506706962104726326664020396595090241808908686151359462490892551819505266416484955899571288610747881477046525706641412961836144743784924663220238927604642468357358800717836378166993065978226563638890527662524294137530324030302545093108229296710653738794258985921475222349919090116662309810926290431699338942574803534008241365180675455844000277148726914439468889579163011488740564905528106821428071426103356222335729268017674536453089722388721201046658740747297559291624440327685597819663839015346884454142243767341443985101807985167056536289735225656775505363219932433757875957291854851350077462983155173892292012567455353034343830132653686194412405991839480142718705699479646971141629875137016809739268154680662762236146104082110625669875911711603591185819903861726083853232349580429899044543892367519316914145409421417387454570203039436174077170306194644560348276711450400856003139279151493542310290329049732065584731057213371428726908319625902829243384890006294350510604827890457963627455690379846280489802763360139493345396225516097099919335093421658085680056469797137172311171349485794527858750466159537612637502569302645492617340716982569080216302134982033996830675376584222108385070570176715219928974925727138270987090686416777934789346537429432791631025887495635492614561958442132406321075649441899042535071769489664348848117090203657426970768769993237758898417909583847804757841189256149345381654002103964999492592944991463744596152442438251461713107252124473432527392796055346173687589249851714130900902049905770314657633827925766090917169546674878775740610059736897555240298250556624876706898539733983954904636885325180575685637172734365024513359217584342283864232349094822774656560450690985045695633489427380018776629224175533466540093221926190967318331886164951351650989153808548726022604724772805039714663005583865917409208210226210359025991259864137244689013554731541885104122255511385533503598172094917339286292360150272457985346612222578429189976788534686105024532065022374647498185447200458965754275054178183008564154439036346087269987449815419172901320541239752898353103298366965535860118453171555540998104018327536254224967793245681124487460507284252991546377761563209183313707559536948572043463838858637613775094732944869819646957170220651395326025363052723181148872892962018626892306517335338057899135439344991691471760708063999919592106768224935723904373357604014055864487369170146406180595674220878362562196612797965113772496207572995202648245359377506275559949255334485183901970707633469259627076897916694894130444655207263389434603059933855160938792458066897279990431642333662838547476514040956974227860584493750856894598267521784810412522706896663267612916271405815611562349823399975342595060877526981754079630983739021765842226874576445332704490205971152154742801932144854704698843146702331252787681889447067138349980449286300797704728852978259201332529932915100505110604343271668996556449115296446121346985284}
19793 133307808232562320958692011563649842352731657435269309486003928510372057: {19793,771303,1087735,1305282,1837587,1938146,2192583,2768780,2865055,3181843,3322536,3438066,3653935,3737853,3955400,4130467,4318023,4367623,4384722,4449825,4545490,4746480,4999027,5062912,5339790,5454588,5695776,5710351,6016735,6083283,6301207,6407748,6435687,6494131,6735091,6999535,7220082,7391362,7446127,7723423,7785055,8147251,8399442,8572802,8631187,8766055,9277330,9336547,9342066,9760946,9941935,10513916,10519266,10520887,10529335,10647687,11132796,11346663,11638930,11930322,12246860,12271231,12415831,12484735,12601138,12635202,12724796,13359788,13591903,13966716,14073907,14261666,14696232,14981682,15019880,15445282,15826327,16039436,16518524,16533261,16561443,16897365,17143868,17466956,17530330,17550055,17616211,17804578,17943843,17985187,18023856,18178280,18191407,18288903,18494546,18715135,18814376,19510003,19776151,20276838,20354727,20450565,20653735,21036396,21060066,21166173,21167071,21253063,21384723,21727623,21813936,21865591,22395055,22448551,22458162,22608872,22913480,23001682,23624588,23765756,23780487,24035023,24491240,24540678,24784482,25097335,25197825,25434981,25520876,25777665,26331826,26420780,26453071,26505543,26734946,26874066,26874271,26877680,27407335,27496176,27552645,27651727,28380002,28520444,29389488,29559464,29786431,30116802,30229923,30237390,30286735,30785458,30861535,30933198,31079251,31241127,31271162,31523746,31704936,31890943,32075624,32168467,32201335,32253216,32381887,32888802,32922147,33063174,33071263,33254397,33257703,33730135,33951080,34273951,34746967,34875055,34932243,35637535,35668053,35869845,35966722,36085077,36284868,36344082,37033842,37205122,37315927,37582483,37767093,37977836,38192780,38194965,38261168,38271271,38491135,38598307,38641602,38870935,39419205,39630055,39980072,40285196,40287007,40461746,40476162,40542860,40585287,40741296,41850066,42047152,42212167,42236067,42765042,42805927,42867187,42958425,42998551,43043814,43201711,43515091,44398930,44889463,44960825,44977581,45320744,45424291,45558490,45668936,45780476,45822320,45831336,45833958,46175907,46189362,46245055,46505084,46645122,46927625,46997935,47244392,47303046,47372167,47556066,47978227,48018943,48126055,48651432,48820051,49254007,49290127,49377741,49635482,49674002,49760103,50089065,50152063,50190535,50985837,51036584,51377553,51378547,51550110,51560253,51803191,52019443,52565522,52920428,53149941,53261285,53278716,53428336,53490226,53558335,53925091,53952990,53985146,54592051,54645026,54670188,54678055,54732861,54986784,55300783,55423735,55494066,55657868,55669951,56209863,56313150,56397522,57291391,57416157,57549856,57550280,57652423,57700903,57751266,58127943,58214335,58549736,58727407,58783025,59336277,59633671,60067360,60106878,60228642,60277591,60440335,60491756,60585466,60697425,60713887,61542487,61558591,61716730,61860132,61921135,62813047,63153811,63204807,63913542,64229750,64251823,64270002,64270184,64330402,64465383,64467836,64743588,64743920,64744065,65400680,65613666,65868453,65938082,66228991,66261658,66508482,66610291,66784893,66899935,67031767,67575780,67635055,68473724,68553055,68598490,68666156,68850183,69060336,69473127,69742930,69857202,70539630,70638425,70962860,71066707,71483935,71956263,72032335,72080832,72303957,72528402,72836910,73184865,73276711,73575765,74060076,74125423,74305362,74313490,74501618,74603287,74768935,74955045,75242272,75242647,75295123,75442807,75537562,75648146,75830588,76087550,76701427,76770055,77075700,77262962,77409823,77692704,77692878,77976463,78063856,78362984,78408723,78414825,78480816,78585055,78713167,79420076,79505825,79511240,79952048,80207023,80279922,80891107,80915276,81090936,81162066,81447843,81750567,82214080,82263666,82318188,82320607,82924735,83219624,83642480,83679365,83691516,83712146,83975750,83998508,84647556,84679927,84766110,84872722,85151791,85155432,85321922,85489591,85603162,85620585,85666323,85780722,86265507,86438802,86508007,86680531,86695917,86703055,86902303,87009512,87021346,87159127,87404292,87600055,87662263,87759687,87821838,88105381,88158357,88290918,88355847,89103362,89150503,89176188,89205511,89450145,89576467,89722722,89946054,90139143,90219730,90417184,90435603,90637807,90731847,91111436,91227303,91305060,91328624,91370924,91551656,91673673,91750946,91914663,92124066,92223482,92490840,93139135,93622077,94097790,94197260,94269927,94302066,94563363,94901926,94908271,94919827,94985996,95406990,95413488,95485687,95799861,96027303,96397538,96425576,96692335,96771442,97044823,97194567,97392064,97401055,97608146,97647682,97785836,97885701,98060287,98250236,98348396,98391667,98648787,98656896,99509682,99764546,...,7412204302697130226123392192766070674176372687697948632643438759759369566549436220511507136150077696458652941434233396502175629896366952098002948756907667513905557355720795645479669633789343669437111917177762052260060443157089489996030594892635362713363029227039193736338827729257899624727433849356932916121822215569788559962119442754217115677386994830358391406963702536038201076754567250489598967339845458335791493786441206295486045453817639662343945065980608191388478882212833524878635174993464716389435647549008413862205301012362047771013183766000415723090371659203334368744517233110847358292160232142107139155034333503593902026511804679634583583081801569988111120946338937436660491528396729495758523020326681213365651012165977652711977750584804434602838485163258044829898650636813935937782277025116194474732760838438018851183029551515745198980529291618608987759220214078058549219470456712444812705525214608902232020994143354219156123165938504813867567405386778729855792589125779848524370644848566815838551278975371218114132126081181855304559154261115755459291966840522415067175601284004708918727240313465435493574598098377096585820057143090362479438854243865077335009441525765907241835686945441183535569769420734704145040209240018094338274145649879002640132487128520084704695705758466757024228691791788125699239306418956253853953968238926011075473853620324453202473050995246013064876333162577605855265072829893462388590707406480636029625166902184019806144149187446538831243453238921842937663198609481613474162848563802607654234496523272175635305486140456153154989856638347626864375771707136761783884224018072481003155947499238889417487195616894228663657377192569660878186710148791089194083019260531383874777571196351353074858655471986450741888649136375754320012318163610915089605346332860447375834937315060347809600975932356955327987770863528455759101547536770038826376513425796348523642234161984840676036477568543450234141070028164943836263300199810139832889286450977497829247427027476483730712823089033907087159207559571994508375798876113812315339315538538986889796205867033520332097312827656183383267078300255397258142376008929438540225408686978019918333867643784965182802029157536798097533561971247278170800688448631412581267274512846231658554519130904981174723128759351980811859629347529654947550448303790177679757333311497156027491304381337451689868521686731190760926379487319566642344813774970561339305422858065195758287956420662642099417304729470435755330977092989038044579084771723309339443027940338459776003007086848703159017487537207641062095999879388160152337403585856560036406021083796731053755219609270893511331317543843294919196947670658744311359492803972368039066259413339923883001727775852956061450203889440615346875042341195666982810895084151904589900782741408188687100345919985647463500494257821214771061435461341790876740626285341897401282677215618784060344994901419374407108723417343524735099963013892591316290472631119446475608532648763340311864667999056735308956728232114202898217282057048264720053496879181522834170600707524970673929451196557093279467388801998794899372650757665906514907503494834673672944669182020477926}
19794 133827262041287066615141068196932906517012093894329391913366520203153435: {336209,612653,809873,849293,1028404,1146254,1321709,1619582,1740376,1910609,1957923,2092334,2106509,2223953,2450116,2907219,2923444,3271694,3460975,3744173,3860609,4132013,4153170,4364333,4430048,4584088,4712273,4905293,4944250,4983804,5136653,5151182,5157099,5713793,5757364,5846296,5933100,6059213,6174209,6328640,6442253,6557009,6577083,6748109,6818235,6862673,7119720,7129709,7244033,7272784,7594368,8009685,8111044,8156033,8181882,8543664,8580916,8912513,9114494,9346334,9611622,9626776,9809582,10041233,10715009,10827053,10830123,11087043,11199256,11274509,11757953,12091853,12456088,12499073,12599163,12859203,12868433,13142395,13915995,13952894,14013099,14025688,14154893,14196916,14411009,14641419,14843728,15095534,15128884,15308575,15551582,15576833,15770874,15778899,15905995,15907096,16234574,16462579,16590209,16662353,16698413,16699194,16699735,16846936,17458395,17895483,18370290,18622288,18633773,18740609,18774850,18901707,18952803,18953582,19087194,19167233,19404734,19594976,19698893,19782763,19911053,19975576,20039682,20049295,20440193,20616173,20648155,20950074,20967533,21392499,21429835,21833695,22044348,22081924,22330193,22472523,22529820,22722850,23167923,23517970,23646209,23887373,23925124,24031808,24059154,24059393,24385204,24777786,24995534,25087313,25189709,25428353,25715802,25864531,26141933,26200434,26209709,26295495,26649473,26706867,27035784,27121553,27139636,27155213,27222509,27267420,27323393,27426974,27741819,28048528,28066171,28080088,28161293,28221564,28261090,28512964,28628333,28641850,28828013,28965182,28970164,29085248,29325953,29530735,29707195,29944216,30151853,30217709,30415257,30614050,30710609,31080907,31299713,31528109,31554594,31590099,31625873,31707316,31901095,32720904,32761133,33025975,33045976,33321182,33478522,33533933,33566033,33597100,33687243,33913308,34206353,34370220,34493453,34502523,34982563,35340724,35382509,35436882,35635373,35648634,35650555,35761613,35832088,35907134,36661568,36736860,36791258,36811017,36860753,36949330,36954509,37176723,37328813,37359953,37733009,38259374,38281314,38906753,39029633,39185984,39322814,39366893,39497739,39631170,39655651,39747182,39960319,40094530,40102419,40155736,40190609,40306564,40311099,40316520,40403213,40805582,41008493,41244264,41338843,41400209,41640593,41654836,41910413,42000209,42273248,42438850,42570003,42745709,42780666,42834833,42894209,43004288,43279373,43851736,43896196,44084232,44339196,44343604,44572973,44657011,45175203,45356085,45412147,45533009,45735533,45822209,45966509,46178187,46399797,46576324,46742273,46749794,46906743,46913873,47113709,47285619,47472295,47557404,47597393,47700734,47740975,47826460,48019543,48113436,48304493,48379824,48389009,48458776,49333203,49378456,49594761,49870253,49975090,49981133,50356124,50356495,50678575,50926620,51231019,51522136,52036433,52253009,52558940,52598458,52603853,52819934,52926509,52980173,53225582,53381633,53663467,53950083,53968216,54113716,54237182,54321728,54427302,54443393,54516123,54522509,54601553,54995693,55048109,55231313,55388033,55550763,55647374,55800088,55807683,55908353,56167313,56236411,56314756,56528513,56650930,56744623,56850494,56966754,57020056,57086170,57225595,57277900,57289170,57373709,57391752,57551873,57932333,57962403,58131355,58247582,58386509,59055490,59436173,59510609,59881709,59955713,59970108,60300113,60427794,60691793,60692619,60714243,60813773,60814290,61032833,61057133,61108448,61111944,61567876,61585816,61758353,62070509,62190209,62193496,62592494,62775099,63070728,63211373,63258509,63408088,63423233,63493709,63795730,63845009,64147563,64472813,64565721,64657709,64726913,64868576,64957073,65127182,65620013,65836988,65982893,66095873,66150535,66346804,66433613,66590609,66598395,66785420,66925709,67060382,67637534,67964033,67981116,68021582,68305874,68337735,68422253,68503404,68567611,68617553,68670714,68733480,68747004,68750937,68898509,69006209,69070733,69284043,69477713,69541709,69572335,69757626,69958042,69967683,70114433,70493009,70555853,70660433,70866588,70954569,70972973,71038288,71159633,71262734,71283713,71334099,71937320,71937850,72689933,72817171,72893584,72977148,73010573,73149854,73187170,73315712,73408493,73487693,73645709,73704833,73992088,74077613,74194733,74453223,74511003,74649182,74718209,74756753,74946484,75084200,75196696,75577709,75614695,76133323,76179053,76197713,76235009,76458113,76554876,77001688,77120513,77248109,77325165,77503924,77610509,77664593,77790509,77804654,78361133,78625793,78848283,79115036,79253633,79380642,79641374,79837073,79912546,79918074,79922093,80107699,80142504,80235339,80304856,80337730,80428013,80584795,80645009,80694893,80736494,80929485,80929900,80977719,81025613,81263842,81385709,81661313,81750850,81822353,81967539,82005282,82395473,82480176,82662509,83051009,83097293,83241099,83327633,83451614,83486802,83540993,83631953,84260609,84273076,84304973,84372379,84408209,84469725,84596283,84701009,84707582,84802733,85134209,85218056,85243694,85277009,85319693,85390673,85532033,85592155,85693336,85700609,85832695,85909709,85953844,86281553,86324784,86325420,86626899,86768273,86794682,86928209,87126509,87484888,87502987,87556433,87672173,87736193,87824604,88116113,88303373,88315793,88525709,88611473,88677976,88703575,88793933,88866413,89046524,89389133,89574331,89633153,89660894,90101040,90160317,90342963,90359294,90638993,90736013,90737634,90815098,90878199,90928109,90959873,91117613,91190609,91242509,91314833,91680593,91800209,91800244,91967693,92080448,92095214,92268014,92286209,92399873,92575095,92596013,92630836,92632973,92790198,93039953,93066509,93142936,93224333,93353873,93371009,93649133,93723473,93772673,93829709,93990509,94052840,94069709,94210253,94325393,94393613,94416209,94696193,94782209,94788235,94936913,95214893,95371373,95390609,95435213,95836493,95870313,95941684,96029362,96057233,96101009,96107776,96117293,96218753,96260609,96327533,96344625,96405003,96405276,96427853,96462209,96471953,96495603,96534509,96605009,96628109,96701754,96704536,96740839,96762509,96792833,96827009,96879182,97021313,97036673,97078253,97115382,97115880,97169153,97217873,97320173,97357709,97373009,97437953,97446509,97501709,97571153,97579820,97585793,97637009,97641473,97706573,97739009,97760513,97762253,97770833,97785773,97809233,97828109,97830893,97862993,97869953,97879853,97886093,97894913,97923713,97938509,97949933,97950509,97953730,98057534,98101020,98225294,98420499,98746768,98907123,99073816,99275095,99389050,99392487,99728654,99762723,99894974,99940060,...,11118306454045695339185088289149106011264559031546922948965158139639054349824154330767260704225116544687979412151350094753263444844550428147004423135361501270858336033581193468219504450684015504155667875766643078390090664735634234994045892338953044070044543840558790604508241593886849437091150774035399374182733323354682839943179164131325673516080492245537587110445553804057301615131850875734398451009768187503687240679661809443229068180726459493515917598970912287082718323319250287317952762490197074584153471323512620793307951518543071656519775649000623584635557488805001553116775849666271037438240348213160708732551500255390853039767707019451875374622702354982166681419508406154990737292595094243637784530490021820048476518248966479067966625877206651904257727744887067244847975955220903906673415537674291712099141257657028276774544327273617798470793937427913481638830321117087823829205685068667219058287821913353348031491215031328734184748907757220801351108080168094783688883688669772786555967272850223757826918463056827171198189121772782956838731391673633188937950260783622600763401926007063378090860470198153240361897147565644878730085714635543719158281365797616002514162288648860862753530418161775303354654131102056217560313860027141507411218474818503960198730692780127057043558637700135536343037687682188548858959628434380780930952358389016613210780430486679803709576492869019597314499743866408782897609244840193582886061109720954044437750353276029709216223781169808246865179858382764406494797914222420211244272845703911481351744784908263452958229210684229732484784957521440296563657560705142675826336027108721504733921248858334126230793425341342995486065788854491317280065223186633791124528890797075812166356794527029612287983207979676112832973704563631480018477245416372634408019499290671063752405972590521714401463898535432991981656295292683638652321305155058239564770138694522785463351242977261014054716352815175351211605042247415754394950299715209749333929676466246743871140541214725596069234633550860630738811339357991762563698314170718473008973307808480334694308800550280498145969241484275074900617450383095887213564013394157810338113030467029877500801465677447774203043736305197146300342956870917256201032672947118871900911769269347487831778696357471762084693139027971217789444021294482421325672455685266519635999967245734041236956572006177534802782530096786141389569230979349963517220662455842008958134287097793637431934630993963149125957094205653632996465639483557066868627157584964009164541910507689664004510630273054738526231305811461593143999819082240228506105378784840054609031625695096580632829413906340266996976315764942378795421505988116467039239205958552058599389120009885824502591663779434092175305834160923020312563511793500474216342626227856884851174112112283030650518879978471195250741386731822156592153192012686315110939428012846101924015823428176090517492352129061610663085126015287102649944520838886974435708946679169713412798973145010467797001998585102963435092348171304347325923085572397080080245318772284251255901061287456010894176794835639919201083202998192349058976136498859772361255242252010509417003773030716889}
19795 134348725677744384543691242230642044836058076335801710316321091512090153: {39586,1285505,1522829,1542606,1719381,2175470,2429373,2610564,3062645,3138501,3654305,3675174,3876292,4011077,4385166,4881461,4907541,5115509,5537560,5730110,5907941,6229755,6363686,6382157,6645072,6735773,6876132,7196705,7307870,7416375,7446881,7475706,7726773,7910800,7959653,8260934,8423429,8632061,8636046,8735246,8769444,8899650,9090980,9492960,9799349,9998054,10125824,10138805,10679580,10726145,10899077,10909176,11034101,11391552,11420702,12033470,12166566,12272477,12272823,12602414,12815496,12871374,12988262,13470182,13671741,13876517,13918709,13999070,14019501,14417433,14440164,14531429,14714373,14741069,14782724,14892254,15446846,15570110,16294502,16798884,17145604,17262374,17478629,17532110,17746145,18554660,18673094,18684132,18703841,18911105,19521892,19883870,20446529,20929341,21006029,21027832,21038532,21041774,21058670,21255221,21295374,22102757,22265592,22298573,22626869,22643301,22693326,23277860,23327373,23656311,23860644,24351861,24493720,24542462,24570077,24831662,24969470,25048791,25089557,25202276,25270404,25449592,25841153,26201189,26455757,26719576,27183806,27555435,27602405,27933432,28147814,28162275,28430373,28523332,28630791,28727669,28915229,29107101,29392464,29565197,29906405,29910689,29963364,30039760,30059523,30481505,30890564,31353077,31425111,31652654,32078872,32453969,33037048,33066522,33074621,33122886,33290717,33794730,33924545,34084275,34287736,34933912,35060660,35100110,35136269,35232422,35276955,35609156,35641205,35887686,35970374,36047712,36088731,36212705,36356560,36382814,36441941,36577806,36989092,37166679,37430270,37493301,37628752,38275157,38370269,38573703,39020006,39029573,39300651,39552302,39634145,40553676,40709454,40901130,40910669,41140461,41307470,41996375,42072792,42120132,42332346,42334142,42391635,42401429,42506126,42769446,42962775,43002917,43206149,43447773,43455246,43627872,43731182,44100641,44175905,44456129,44790110,44894021,44897102,44916324,45081869,45102917,45217744,45616181,45826960,45921075,46003364,47222189,47249176,47331891,47531512,47560974,48070046,48825077,48982480,49081356,49568964,49892549,49981773,50194670,50217783,50383205,50395650,50639213,50661221,50869962,51041752,51555330,51717749,51808493,52068545,52663652,52841560,52906142,53011086,53155323,53469892,53472951,53683253,53748132,53748542,53755360,53860701,53887589,54080189,54419309,54814670,54870245,54992352,55105290,55186887,55303454,55423995,55429505,55482077,56442629,56701541,56760004,57040888,57389061,57421971,58209281,58220405,58778976,58905233,58984221,59118928,59437829,59446755,59572862,59620773,59783075,60086093,60141795,60233604,60299969,60459846,60474780,60573470,60706613,60720101,61208373,61221953,61570916,61723070,61866396,61975469,62158502,62219357,62482254,62542324,62777573,62945155,63047492,63409872,63628673,63658275,63729653,63781886,64151248,64170999,64336934,64402670,64435061,64506432,64743077,64763774,65698675,65773829,65777604,65797109,65844294,66126348,66142526,66508794,66515406,66649397,67038653,67376477,67460270,67642145,67902160,68547902,69493934,69750110,69864486,70124691,70266749,70393445,70563329,71237153,71275070,71336106,71551101,71597375,71739690,71810861,71933444,72090029,72170154,72569736,72688164,73514141,74020637,74067684,74233601,74410244,74565799,74631854,74962635,74981669,75164966,75534186,75955672,76385560,76389930,76522336,76542542,76549277,76959845,76982270,77196614,77283204,77593229,77741870,78386429,78721253,78838410,78897687,79219361,79229901,79260110,79838373,79960144,80570392,80574014,80923492,80952324,81085720,81170574,81355773,81482592,81500069,81640953,82296235,82846061,82933505,83471061,83481775,83700132,84094304,84424334,84472134,84616469,84663029,84976395,85275741,85450131,85530084,85611854,85629255,85734374,85916850,85933755,85997102,86087628,86403422,86516861,86689589,87030182,87371373,87550433,88167521,88258229,88583235,88797860,89159681,89279777,89778926,89868749,89921650,89955162,90641488,90641691,90647141,90848582,91116980,91221435,91337872,91560952,91644640,91662672,91667916,91830209,92351814,92378724,92490110,92663381,93010168,93290244,93659909,93683105,93855250,93888741,93995870,94488784,94606092,94689077,94744334,95112132,95598581,95693595,95956454,95974277,96037886,96252110,96879905,97302864,97640102,97690773,98508014,98580254,98755482,98893795,99270964,99348004,99520206,99700277,...,14824408605394260452246784385532141348352745375395897265286877519518739133098872441023014272300155392917305882868466793004351259792733904196005897513815335027811114711441591290959339267578687338874223834355524104520120886314178979992061189785270725426726058454078387472677655458515799249454867698713865832243644431139577119924238885508434231354773989660716782813927405072076402153509134500979197934679690916671582987572882412590972090907635279324687890131961216382776957764425667049757270349986929432778871295098016827724410602024724095542026367532000831446180743318406668737489034466221694716584320464284214278310068667007187804053023609359269167166163603139976222241892677874873320983056793458991517046040653362426731302024331955305423955501169608869205676970326516089659797301273627871875564554050232388949465521676876037702366059103031490397961058583237217975518440428156117098438940913424889625411050429217804464041988286708438312246331877009627735134810773557459711585178251559697048741289697133631677102557950742436228264252162363710609118308522231510918583933681044830134351202568009417837454480626930870987149196196754193171640114286180724958877708487730154670018883051531814483671373890882367071139538841469408290080418480036188676548291299758005280264974257040169409391411516933514048457383583576251398478612837912507707907936477852022150947707240648906404946101990492026129752666325155211710530145659786924777181414812961272059250333804368039612288298374893077662486906477843685875326397218963226948325697127605215308468993046544351270610972280912306309979713276695253728751543414273523567768448036144962006311894998477778834974391233788457327314754385139321756373420297582178388166038521062767749555142392702706149717310943972901483777298272751508640024636327221830179210692665720894751669874630120695619201951864713910655975541727056911518203095073540077652753026851592697047284468323969681352072955137086900468282140056329887672526600399620279665778572901954995658494854054952967461425646178067814174318415119143989016751597752227624630678631077077973779592411734067040664194625655312366766534156600510794516284752017858877080450817373956039836667735287569930365604058315073596195067123942494556341601376897262825162534549025692463317109038261809962349446257518703961623719258695059309895100896607580355359514666622994312054982608762674903379737043373462381521852758974639133284689627549941122678610845716130391516575912841325284198834609458940871510661954185978076089158169543446618678886055880676919552006014173697406318034975074415282124191999758776320304674807171713120072812042167593462107510439218541787022662635087686589838393895341317488622718985607944736078132518826679847766003455551705912122900407778881230693750084682391333965621790168303809179801565482816377374200691839971294927000988515642429542122870922683581753481252570683794802565354431237568120689989802838748814217446834687049470199926027785182632580945262238892951217065297526680623729335998113470617913456464228405796434564114096529440106993758363045668341201415049941347858902393114186558934777603997589798745301515331813029815006989669347345889338364040955852}
19796 134872206863195874413208384185955817096242930556071062831837479552566589: {59379,375763,672418,731083,849379,1225306,1557643,1619746,1698586,1910803,2056808,2145883,2292508,2313909,2643418,3239164,3263205,3480752,3783379,3821218,3899803,3915846,4184668,4213018,4447906,4845365,4900232,5512761,5814438,5846888,5983123,6098179,6543388,6577749,6787003,6921950,7130443,7244779,7359043,7488346,7721218,7929283,8264026,8306340,8595165,8728666,8860096,8951179,9168176,9403483,9424546,9545529,9810586,9888500,9967608,10079779,10273306,10302364,10314198,10529203,10961805,11089363,11213559,11363725,11427586,11514728,11692592,11759179,11866200,12118426,12348418,12391401,12657280,12884506,12954069,13102869,13114018,13154166,13349475,13496218,13532683,13636470,13725346,13863163,14239440,14259418,14488066,14545568,14960083,14997081,15188736,15614779,16019370,16222088,16312066,16363764,16591963,16700179,17087328,17131053,17161832,17670883,17825026,18050205,18228988,18249849,18399353,18478405,18692668,18903621,18956083,19223244,19253552,19307061,19482393,19488523,19619164,20082466,20205273,20864443,20998605,21430018,21432005,21654106,21660246,22174086,22268393,22338381,22398512,22541179,22549018,23170269,23193325,23355165,23379629,23515906,23683243,24096379,24183706,24402365,24441753,24912176,24998146,25198326,25718406,25736866,25737403,25893561,26246443,26284790,26298165,26304553,27158179,27259123,27831990,27905788,28009641,28026198,28051376,28069013,28164379,28309786,28393832,28564843,28764643,28822018,28907417,29063803,29097325,29282838,29560963,29687456,29825805,30001769,30155179,30191068,30253963,30257768,30567173,30617150,30746803,31103164,31153666,31502845,31531603,31541748,31557798,31562661,31588005,31629379,31811990,31814192,31943061,32117179,32469148,32925158,33180418,33324706,33396826,33398388,33399470,33473443,33569779,33693872,34039989,34529179,34916790,35654165,35790966,36731981,36740580,36813693,36896179,36989923,37244576,37247493,37267546,37364179,37454205,37481218,37549700,37737283,37803414,37905606,37907164,38174388,38334466,38613205,38809468,39189952,39397786,39565526,39822106,39951152,40043083,40079364,40098590,40775709,40880386,40952803,41232346,41296310,41343029,41404963,41590073,41900148,41935066,42221721,42303883,42784998,42859670,43284379,43667390,43815523,43825825,44080123,44088696,44163848,44511445,44607379,44660386,44661533,44945046,45059640,45445700,45567283,46000723,46236365,46335846,46432363,46862203,47035940,47119243,47292418,47478981,47631379,47774746,47850248,48056179,48063616,48118308,48118786,48770408,49236043,49555572,49599783,49684329,49737379,49910777,49991068,50174626,50379418,50692095,50856706,50897083,51061603,51307843,51431604,51729062,52283866,52400868,52419418,52590990,52610179,52650165,52848633,53298946,53413734,53494843,53668901,53831529,53955561,54071568,54243106,54279272,54310426,54445018,54534840,54574221,54646786,54687163,54853948,54866709,54967033,55002379,55483638,56097056,56132342,56145405,56160176,56174179,56322586,56443128,56483923,56522180,56561179,56750369,57025928,57256666,57283700,57406243,57504205,57635203,57656026,57930364,57940328,58170496,58393723,58469179,58530009,58651906,59061470,59328453,59414390,59666683,59888432,59889163,59963179,60037123,60303706,60435418,60830514,61064181,61064779,61228100,61351695,61421218,61717963,61862323,61961205,62078323,62161814,62221963,62599426,62788429,63056218,63109188,63180198,63251746,63414632,63420461,63498519,63501213,63759189,63802190,63853123,64154169,64689043,64965379,65182869,65240563,65441808,65522266,65596773,65829565,66051950,66091952,66461213,66642364,66837365,66957044,67067866,67132066,67185165,67194200,67267723,67345653,67374486,67826616,67994779,68257003,68412706,68648179,68740440,68907523,68986906,69005046,69036763,69869803,69933379,69965126,70499093,70502323,70681448,70765018,70873764,70950005,71189779,71270746,71297268,71301110,71341461,71523226,71664176,71807179,71814268,72105069,72113179,73080283,73323136,73473720,73582516,73622034,73675363,73721506,73898660,73909018,73970203,74353446,74554483,74657626,74719906,75074179,75292005,75466018,75588043,75593475,76208179,76304943,76518748,76562628,76963645,77258803,77332995,77801323,77813506,78059266,78176803,78177905,78371968,78645628,78654379,78733786,78809365,78995478,79262340,79311302,79359213,79494364,79516629,79694779,79899403,79920638,79950379,80115833,80189060,80204838,80254723,80311472,80381218,80613128,80622198,80622813,80633040,80806426,81383897,81611164,82016986,82169779,82222005,82488528,82657935,82677686,82800418,82830523,82955181,83063083,83281186,83293843,83309672,83339779,83820826,84000418,84020179,84287803,84508843,84546496,84877700,85140006,85491418,85561332,85587043,85669666,85713403,85788418,86008576,86212363,86558746,86620243,86741203,86941363,87218563,87336283,87703472,87762379,87792392,87953179,88142179,88168464,88329379,88514779,88551643,88678392,88687208,89024323,89145946,89314022,89359293,89379643,89554603,89796523,89899123,89916805,90350406,90468283,90566563,90689769,90712170,90728923,90761179,90793363,90824294,90860205,90921379,91066018,91267483,91471066,91644418,91815043,91933018,92253523,92356374,92584605,92610749,92799594,92867323,93012805,93081883,93134803,93152648,93237753,93239779,93369379,93395083,93484546,93499588,93522523,93723381,93813486,93827746,93869779,94109179,94226179,94227418,94432243,94566379,94571238,94944590,95015443,95114808,95117683,95194786,95316763,95394379,95401468,95481950,95508643,95583379,95652920,95672829,95853379,95922643,96039086,96123523,96226872,96283003,96344779,96405403,96479563,96505401,96566179,96604005,96608986,96622483,96759648,96771379,96778018,96848923,96917552,96948283,96960379,97031443,97145661,97176523,97239379,97279843,97347883,97385179,97401269,97421323,97481803,97592179,97635163,97655683,97662379,97719403,97759723,97781179,97892563,97930003,97958083,97965643,98666406,98756912,98766441,99189522,99213789,99740506,99763191,99773109,99950180,99962266,...,22236612908091390678370176578298212022529118063093845897930316279278108699648308661534521408450233089375958824302700189506526889689100856294008846270723002541716672067162386936439008901368031008311335751533286156780181329471268469988091784677906088140089087681117581209016483187773698874182301548070798748365466646709365679886358328262651347032160984491075174220891107608114603230263701751468796902019536375007374481359323618886458136361452918987031835197941824574165436646638500574635905524980394149168306942647025241586615903037086143313039551298001247169271114977610003106233551699332542074876480696426321417465103000510781706079535414038903750749245404709964333362839016812309981474585190188487275569060980043640096953036497932958135933251754413303808515455489774134489695951910441807813346831075348583424198282515314056553549088654547235596941587874855826963277660642234175647658411370137334438116575643826706696062982430062657468369497815514441602702216160336189567377767377339545573111934545700447515653836926113654342396378243545565913677462783347266377875900521567245201526803852014126756181720940396306480723794295131289757460171429271087438316562731595232005028324577297721725507060836323550606709308262204112435120627720054283014822436949637007920397461385560254114087117275400271072686075375364377097717919256868761561861904716778033226421560860973359607419152985738039194628999487732817565795218489680387165772122219441908088875500706552059418432447562339616493730359716765528812989595828444840422488545691407822962703489569816526905916458421368459464969569915042880593127315121410285351652672054217443009467842497716668252461586850682685990972131577708982634560130446373267582249057781594151624332713589054059224575966415959352225665947409127262960036954490832745268816038998581342127504811945181043428802927797070865983963312590585367277304642610310116479129540277389045570926702485954522028109432705630350702423210084494831508789900599430419498667859352932493487742281082429451192138469267101721261477622678715983525127396628341436946017946615616960669388617601100560996291938482968550149801234900766191774427128026788315620676226060934059755001602931354895548406087472610394292600685913741834512402065345894237743801823538538694975663557392714943524169386278055942435578888042588964842651344911370533039271999934491468082473913144012355069605565060193572282779138461958699927034441324911684017916268574195587274863869261987926298251914188411307265992931278967114133737254315169928018329083821015379328009021260546109477052462611622923186287999638164480457012210757569680109218063251390193161265658827812680533993952631529884757590843011976232934078478411917104117198778240019771649005183327558868184350611668321846040625127023587000948432685252455713769702348224224566061301037759956942390501482773463644313184306384025372630221878856025692203848031646856352181034984704258123221326170252030574205299889041677773948871417893358339426825597946290020935594003997170205926870184696342608694651846171144794160160490637544568502511802122574912021788353589671279838402166405996384698117952272997719544722510484504021018834007546061433778}
19797 135397713348356325910272932636132954054399670176447447126143488736965915: {79172,1008627,1799707,1837959,2429619,2547879,2571010,2865635,3045658,3085212,3438762,3965127,4048955,4287703,4350940,4858746,5000039,5116027,5221128,5230835,5711507,5731827,5873769,6125290,6277002,6319527,6671859,7132999,7308610,7350348,7752584,7960459,8022154,8179235,8721657,8770332,9737243,9762922,9815082,10075387,10205063,10231018,10382925,10448279,11075120,11232519,11460220,11581827,11815882,12360625,12396039,12459510,12727372,12764314,12802823,12877955,13092999,13290144,13471546,13752264,13758083,14136819,14194327,14393410,14615740,14715879,14832750,14893762,14951412,15016603,15409959,15453546,15471297,15821600,15919306,16521868,16600499,16846858,17141379,17173507,17264122,17272092,17470492,17538888,17774027,17799300,18177639,18181960,18522627,18985920,19283363,19326759,19598698,19671027,19731249,19996108,20244327,20251648,20277610,20454705,20588019,21324887,21359160,21389127,21452290,21732099,21798154,21818352,22068202,22783104,22786235,22841404,22852003,23365835,23455403,23788763,24029055,24066940,24333132,24468099,24523955,24544954,24545646,24825307,24844603,25204828,25630992,25742748,25976524,26352859,26475547,26737539,26940364,27343482,27753034,27792467,27837418,27998140,28039002,28834866,28880328,29062858,29428746,29482138,29565448,29568199,29784508,30123699,30893692,31140220,31369747,32145027,32481159,32490369,32589004,33261129,33597768,33722099,33823527,34291208,34524748,34882235,34957258,35064220,35273859,35492290,36272083,36275559,37109320,37346188,37368264,37407682,37497219,37738835,37797489,37822210,37979243,38577609,38605299,38643367,38878955,39043784,39427185,39767740,40556123,40586435,40893058,40914823,41747985,41858682,41868967,42012058,42039297,42055664,42077064,42083548,42117340,42464679,42510442,42590748,42674107,43233027,43924257,44205514,44460643,44531184,44597146,45253738,45286602,45386652,45925725,46125859,46555720,46654746,46730499,46937125,47312622,47336697,47383955,47494363,47647043,47717985,47721288,48213463,48511835,48703722,48838823,48987440,49065227,49084924,49140154,49387737,49663324,49770627,49897687,49938940,49987059,50095239,50097582,50099205,50114339,50179114,50404552,50540808,50697787,50899184,51098939,51682306,52375185,52402378,52911514,53174587,53439152,53686449,54367612,55110870,55204810,55487803,55866864,55901319,56221827,56295628,56324550,56705121,56718247,56807125,56858409,56860746,57046664,57261582,57455338,57501699,57527563,57830458,58214202,58784928,58794925,59096679,59130394,59348289,59733159,59812810,59821378,59926728,60079520,60119046,60147885,60963010,61008083,61228219,61320579,61778659,61781128,61846267,61848519,61944465,62488835,62706154,62850222,62902599,63305308,64157744,64177497,64289505,64907938,65501085,65583467,66074096,66133044,66149242,66245772,66581434,66990579,67394083,67417569,67589460,67849090,67888403,68168550,68567435,68575472,69503769,69867824,70121320,70200220,70244707,70272538,70464844,70536487,70553910,70652725,70938627,71218312,71282410,71604625,71662119,71744179,71775372,71940748,72095424,72177462,72178179,72412955,72425410,72713120,72765628,72883882,72895963,73155612,73978184,74333358,74860540,74986602,75257504,75261939,75455027,75458339,75569127,76285059,76535125,76550314,76717223,76740538,76818343,77147406,77593593,77601307,77732707,78040012,78059146,78425799,78601302,78629127,78886485,79104604,79227499,79268290,79395083,79948419,80120601,81107352,81364659,81418908,81465639,81508567,81667527,81744839,81802260,81821338,81970179,82241963,82280922,82614940,83225457,83302955,83696305,83992750,84145584,84198513,84240264,84483879,84664692,84668284,84783270,84802858,85012252,85197307,85538892,85884999,85925550,86005834,86028119,86412298,86484039,86488739,86895546,86910492,87255744,87462364,87977859,88123217,88201282,88351810,88592205,88703387,88912258,89121585,89580220,89767835,89788042,89794204,89832648,90163738,90205834,90435488,90455559,90653127,91232362,91245771,91653920,91842150,91978145,92006728,92131827,92373325,92638507,93242721,93899139,94444378,94498352,94584327,94663782,94699003,94770297,94877619,95063024,95121948,95437003,95648435,95703285,96140092,97650154,97964960,98162712,98283399,98307035,98550823,99053959,99077925,99137928,99241703,99367955,99785098,99963546,...,33354919362137086017555264867447318033793677094640768846895474418917163049472462992301782112675349634063938236454050284259790334533651284441013269406084503812575008100743580404658513352052046512467003627299929235170271994206902704982137677016859132210133631521676371813524724781660548311273452322106198122548199970064048519829537492393977020548241476736612761331336661412171904845395552627203195353029304562511061722038985428329687204542179378480547752796912736861248154969957750861953858287470591223752460413970537862379923854555629214969559326947001870753906672466415004659350327548998813112314721044639482126197654500766172559119303121058355626123868107064946500044258525218464972211877785282730913353591470065460145429554746899437203899877631619955712773183234661201734543927865662711720020246613022875136297423772971084830323632981820853395412381812283740444916490963351263471487617055206001657174863465740060044094473645093986202554246723271662404053324240504284351066651066009318359667901818550671273480755389170481513594567365318348870516194175020899566813850782350867802290205778021190134272581410594459721085691442696934636190257143906631157474844097392848007542486865946582588260591254485325910063962393306168652680941580081424522233655424455511880596192078340381171130675913100406609029113063046565646576878885303142342792857075167049839632341291460039411128729478607058791943499231599226348692827734520580748658183329162862133313251059828089127648671343509424740595539575148293219484393742667260633732818537111734444055234354724790358874687632052689197454354872564320889690972682115428027479008081326164514201763746575002378692380276024028986458197366563473951840195669559901373373586672391227436499070383581088836863949623939028338498921113690894440055431736249117903224058497872013191257217917771565143204391695606298975944968885878050915956963915465174718694310416083568356390053728931783042164149058445526053634815126742247263184850899145629248001789029398740231613421623644176788207703900652581892216434018073975287691094942512155419026919923425441004082926401650841494437907724452825224701852351149287661640692040182473431014339091401089632502404397032343322609131208915591438901028870612751768603098018841356615702735307808042463495336089072415286254079417083913653368332063883447263977017367055799558907999901737202123710869716018532604408347590290358424168707692938049890551661987367526026874402861293380912295803892981889447377871282616960898989396918450671200605881472754892027493625731523068992013531890819164215578693917434384779431999457246720685518316136354520163827094877085289741898488241719020800990928947294827136386264517964349401117717617875656175798167360029657473507774991338302276525917502482769060937690535380501422649027878683570654553522336336849091951556639935413585752224160195466469776459576038058945332818284038538305772047470284528271552477056387184831989255378045861307949833562516660923307126840037509140238396919435031403391005995755308890305277044513913041977769256717191240240735956316852753767703183862368032682530384506919757603249608994577047176928409496579317083765726756031528251011319092150667}
19798 135925252913505273545923352621323225584109995564611779380792332914106048: {98965,118758,751526,928297,1164601,1344836,1400617,1462166,1698758,1754101,1989397,2450612,2693557,3115286,3239492,3397172,3821606,3856515,4113616,4291766,4442617,4568487,4585016,4627818,4674601,5022037,5158143,5286836,5438675,6478328,6526410,6783511,6961504,7288119,7566758,7642436,7799606,7831692,8119801,8369336,8426036,8895812,9187935,9253801,9415503,9690730,9800464,9818101,10962915,11025522,11276857,11628876,11693776,11834677,11966246,12033231,12196358,12279637,12612601,12944917,13086776,13155498,13574006,13717801,13843900,14260886,14325275,14487157,14489558,14644383,14718086,14722623,14976692,15143797,15346527,15442436,15858566,15906601,15909215,16528052,16612680,16665877,16774057,17190330,17457332,17529301,17720192,17723823,17902358,18269675,18336352,18689265,18806966,18849092,19091058,19146471,19621172,19667701,19777000,19935216,20159558,20207319,20514997,20546612,20604728,20628396,20652335,21058406,21590115,21838115,21923610,21986677,22178726,22249125,22340643,22427118,22727450,22855172,23029456,23180319,23340601,23385184,23518358,23651317,23732400,23878959,24236852,24696836,24782802,24995135,25270287,25314560,25769012,25869767,25896183,25908138,26205738,26215417,26228036,26308332,26698950,26992436,27065366,27228457,27272940,27450692,27631657,27726326,28478880,28518836,28551755,28976132,29091136,29232937,29398047,29920166,29994162,30004807,30083675,30224377,30377472,30416415,30914101,31087199,31110517,31229558,31506035,32038740,32178435,32444176,32470655,32574457,32624132,32697231,32727528,33102303,33183926,33400358,33637717,33675455,33830101,34118137,34163311,34174656,34262106,34323664,34997675,35341766,35650052,36100410,36457976,36499698,36681301,36798706,36817431,36818469,36956810,37230635,37385336,37617301,37803637,37807242,37912166,38446488,38507104,38614122,38617115,38925275,38964786,38977046,39238328,40164932,40382101,40410546,40644263,40736255,41015223,41469877,41629551,41728886,41756127,41920057,41997210,42058503,42457897,42860036,42864010,42904117,43155935,43252299,43308212,43320492,43410523,43594287,43830275,44103983,44143119,44223207,44348172,44536786,44583337,44676762,44797024,44846101,45082358,45098036,46150201,46340538,46386650,46682735,46710330,46759258,47031812,47267317,47366486,47863801,48192758,48367412,48456757,48804730,48883506,48962197,49130101,49381417,49709675,49824352,49915831,49965301,49996292,50396652,50545657,51436812,51473732,51474806,51787122,52265557,52435887,52492886,52569580,52596330,52604435,52609106,52646675,52670377,52992937,53238435,53794297,54058487,54316358,54518246,54972599,55061497,55375417,55663980,55811576,56019282,56052396,56102752,56111523,56138026,56328758,56387701,56619572,56733315,56787664,57129686,57529286,57644036,57814834,58073077,58127606,58194650,58565676,59052601,59121926,59202217,59374912,59574997,59651610,60003538,60310358,60382136,60507926,60515536,60755797,61134346,61234300,61339587,61356155,61493606,62079155,62134057,62205877,62206328,62307332,62316023,62423675,62788023,62794787,63005690,63018087,63062101,63063206,63083496,63115596,63125322,63176010,63203797,63258758,63274537,63426883,63623980,63628384,63765663,63767701,63886122,64234358,64674217,64730911,64938296,64961039,65019637,65705077,65841301,65850316,66308271,66315817,66360836,66649412,66793652,66796776,66798940,66895719,66946886,67054357,67139558,67387744,67718197,67880607,67929903,67959515,67981717,68079978,69058358,69833580,69982119,70175303,70301557,70369535,70427701,70866937,70968933,71178517,71308330,71581932,73055583,73189801,73309177,73463962,73481160,73627386,73665577,73710231,73792358,73979846,74204507,74370601,74487097,74489152,74494986,74535092,74728358,74777077,74908410,74950201,74962436,75099400,75146373,75268671,75474566,75606828,75636217,75811212,75814328,76255957,76348776,76479157,76645801,76668932,76922101,77226410,77305897,77523459,77618936,77632057,78379904,78383017,78436117,78603567,78795572,79131052,79131635,79367271,79431337,79644212,79842601,79902304,80086166,80158728,80197180,80450857,80501077,80505887,80701237,81196597,81551418,81733177,81760772,81905606,81974197,82308601,82464692,82592620,82666305,82686058,82807215,82809926,83152297,83180146,83474101,83565397,83800296,83870132,84443442,84462517,84486825,84607766,85030201,85116457,85245301,85291119,85569996,85719340,85892373,86183007,86568758,86745687,86901301,86981077,87321303,87334780,87631046,87651650,87686101,87750275,88081055,88143157,88160246,88177392,88327696,88330537,88371503,88695591,88736437,88990201,89022890,89214758,89320772,89323066,89452117,89719215,89732067,89890092,89925935,90119280,90178569,90206101,90306217,90438697,90635257,90861301,90891400,90957035,91134566,91271737,91444515,91997497,92001446,92161391,92316277,92373301,92458297,92472730,92514601,92671692,92864726,92927701,93114937,93272617,93402037,93572311,93575675,93655477,93705301,93724406,93998197,94059231,94071880,94238486,94275333,94418101,94584836,94685077,94814677,94957962,95167801,95262758,95549492,95700496,95704057,95829301,95881897,96112358,96127232,96135157,96236616,96237572,96372217,96506677,96649237,96823801,96887701,96912757,97091497,97180201,97284601,97361907,97514101,97540816,97550015,97554601,97644457,97678837,97711417,97798357,97803577,97828597,97860601,97869097,97892857,97917301,97957801,97978537,97988437,98472086,98880755,99111144,99199566,99223863,99330007,99368658,99474758,99821554,99872151,99982136,...,44473225816182781356740353156596424045058236126187691795860632558556217399296617323069042816900466178751917648605400379013053779378201712588017692541446005083433344134324773872878017802736062016622671503066572313560362658942536939976183569355812176280178175362235162418032966375547397748364603096141597496730933293418731359772716656525302694064321968982150348441782215216229206460527403502937593804039072750014748962718647237772916272722905837974063670395883649148330873293277001149271811049960788298336613885294050483173231806074172286626079102596002494338542229955220006212467103398665084149752961392852642834930206001021563412159070828077807501498490809419928666725678033624619962949170380376974551138121960087280193906072995865916271866503508826607617030910979548268979391903820883615626693662150697166848396565030628113107098177309094471193883175749711653926555321284468351295316822740274668876233151287653413392125964860125314936738995631028883205404432320672379134755534754679091146223869091400895031307673852227308684792756487091131827354925566694532755751801043134490403053607704028253512363441880792612961447588590262579514920342858542174876633125463190464010056649154595443451014121672647101213418616524408224870241255440108566029644873899274015840794922771120508228174234550800542145372150750728754195435838513737523123723809433556066452843121721946719214838305971476078389257998975465635131590436979360774331544244438883816177751001413104118836864895124679232987460719433531057625979191656889680844977091382815645925406979139633053811832916842736918929939139830085761186254630242820570703305344108434886018935684995433336504923173701365371981944263155417965269120260892746535164498115563188303248665427178108118449151932831918704451331894818254525920073908981665490537632077997162684255009623890362086857605855594141731967926625181170734554609285220620232958259080554778091141853404971909044056218865411260701404846420168989663017579801198860838997335718705864986975484562164858902384276938534203442522955245357431967050254793256682873892035893231233921338777235202201121992583876965937100299602469801532383548854256053576631241352452121868119510003205862709791096812174945220788585201371827483669024804130691788475487603647077077389951327114785429887048338772556111884871157776085177929685302689822741066078543999868982936164947826288024710139211130120387144565558276923917399854068882649823368035832537148391174549727738523975852596503828376822614531985862557934228267474508630339856036658167642030758656018042521092218954104925223245846372575999276328960914024421515139360218436126502780386322531317655625361067987905263059769515181686023952465868156956823834208234397556480039543298010366655117736368701223336643692081250254047174001896865370504911427539404696448449132122602075519913884781002965546927288626368612768050745260443757712051384407696063293712704362069969408516246442652340504061148410599778083355547897742835786716678853651195892580041871188007994340411853740369392685217389303692342289588320320981275089137005023604245149824043576707179342559676804332811992769396235904545995439089445020969008042037668015092122867556}
19799 136454833368598970983181414070711350201481982049476870030130723593395058: {158344,178137,1127289,1681045,2017254,2193249,2393017,2548137,3063265,3599414,3675918,4011889,4049365,4246465,4672929,4859238,5095758,5142020,5668537,5731270,5732409,5909137,6091316,6170424,6303121,6383449,6437649,6608545,6877524,6941727,7323169,7725769,7930254,8038657,8097910,8575406,8701880,9553045,9717492,9738229,9789615,10000078,10232054,10408777,10442256,10449337,10461670,10532545,10882801,11119765,11350137,11423014,11450929,11463654,11699409,11747538,12060529,12250580,12554004,12639054,13236817,13343718,14265998,14429209,14536095,14617220,14700696,15130609,15376681,15398977,15505168,15920918,16044308,16358470,16538283,16797889,17127121,17304875,17443314,17540664,17745361,17949369,18029137,18294537,18720865,19285321,19303045,19474486,19525844,19630164,19733247,19865089,20150774,20361009,20410126,20462036,20660065,20765850,20896558,21391329,21734337,21821665,21872257,22077129,22150240,22465038,22789429,22920440,23163654,23164537,23561365,23631764,23787849,24458869,24526465,24599569,24721250,24792078,24919020,25073017,25454744,25528628,25605646,25683265,25755910,25785495,26185998,26580288,26587441,26755969,26853537,26943092,27466417,27504528,27516166,27795289,28210449,28273638,28388654,28568965,28636587,28786820,29231480,29431758,29665500,29787524,29902824,30033206,30239337,30296065,30305029,30371569,30819918,30871045,30907092,30942594,31062169,31587609,31643200,31838612,31900729,32211265,32712169,32785045,32885415,33043736,33144277,33200998,33268089,33640677,33693716,33740545,33792277,34091175,34282758,34313365,34333537,34347014,34528244,34544184,34865221,34940984,35077776,35277537,35548054,35598600,35648545,35789449,36047761,36220165,36355278,36363920,37045254,37174203,37971840,38566726,38610121,38649349,38653518,38862207,39197396,39308607,39342054,39462498,39831889,39992216,40048425,40299289,40488654,40503296,40555220,40560241,40598049,40780165,40909410,41173297,41176038,41589489,41698549,42649774,42718320,42778254,42904580,43353097,43464198,43596308,43636704,44136404,44562565,44880249,44991243,45438217,45566208,45572470,45682808,45704006,46731670,46844337,46910806,47386609,47577526,47651881,48058110,48133880,48666264,48835129,48936198,49047910,49070209,49089908,49091292,49262197,49269121,49650614,49689206,49775889,49971289,50100537,50206165,50409656,50796661,51261984,51393159,51485496,51953048,52705718,52834369,52951094,53012649,53475078,53575045,53880728,54135265,54150615,54430537,54686964,54749547,55198059,55214137,55435215,55506068,55584934,55674836,55996280,56078004,56372545,56710863,56821009,56868249,57308857,57669732,57670069,57718609,57760656,57921183,58125716,58447179,58465569,58789765,58857492,58964276,59130896,59136398,59226037,59569016,59651929,60247398,60296137,60459265,60615819,61561249,61787384,62148421,62280440,62495365,62593329,62739494,62995815,64290054,64296015,64342165,64962318,64980738,65178008,65215537,65675497,65711975,66249289,66337537,66522258,66630817,66805179,67015143,67195536,67444198,67623537,67647054,67895377,67916569,68509561,68582416,69049496,69510807,69579975,69764470,69914516,70065495,70128440,70138887,70201177,70547718,70774465,70842937,70984580,71049729,72055045,72289137,72544166,72551118,73207095,73299169,73325259,73473157,74148169,74206297,74218640,74692376,74736528,74815364,74994438,75318169,75477670,75594978,75644420,75958486,76119829,76542875,76725121,77155218,77210598,77212209,77286734,77680683,77757910,77884165,78000337,78087568,78191797,78402577,78739329,78854370,78894495,78913659,79403209,79529975,79535480,80059477,80231749,80680849,81112246,81172870,81474537,81777369,81786116,81829646,82312895,82951045,83311765,83338777,83492065,83495970,83498675,83717364,83737934,84024116,84028923,84078594,84111328,84154128,84167096,84207039,84234680,84332089,84493137,84680497,84929358,85020884,85181496,85348214,85516057,85694529,86293929,86466054,86722251,86928937,87186121,87191409,87291975,87484369,87848514,88411028,88682889,88735681,88921286,89062368,89178037,89194292,89477415,89603929,90005307,90465537,90507476,90573204,90665809,90761889,90773304,91639921,91701519,91851450,92240409,92251718,93111440,93156277,93168865,93309492,93460998,93527377,93703045,93874250,94508535,94594809,94625244,94673394,94687983,94764015,94767910,94888137,94937329,94988726,95294086,95435970,95442576,95829183,95836165,95994409,96351537,96426926,96607537,97023670,97074709,97407444,97677646,97974880,98130454,98169848,98280308,98318149,98494465,98775474,98913815,99326648,99541254,99555265,99795374,99877880,99974118,...,66709838724274172035110529734894636067587354189281537693790948837834326098944925984603564225350699268127876472908100568519580669067302568882026538812169007625150016201487160809317026704104093024934007254599858470340543988413805409964275354033718264420267263043352743627049449563321096622546904644212396245096399940128097039659074984787954041096482953473225522662673322824343809690791105254406390706058609125022123444077970856659374409084358756961095505593825473722496309939915501723907716574941182447504920827941075724759847709111258429939118653894003741507813344932830009318700655097997626224629442089278964252395309001532345118238606242116711252247736214129893000088517050436929944423755570565461826707182940130920290859109493798874407799755263239911425546366469322403469087855731325423440040493226045750272594847545942169660647265963641706790824763624567480889832981926702526942975234110412003314349726931480120088188947290187972405108493446543324808106648481008568702133302132018636719335803637101342546961510778340963027189134730636697741032388350041799133627701564701735604580411556042380268545162821188919442171382885393869272380514287813262314949688194785696015084973731893165176521182508970651820127924786612337305361883160162849044467310848911023761192384156680762342261351826200813218058226126093131293153757770606284685585714150334099679264682582920078822257458957214117583886998463198452697385655469041161497316366658325724266626502119656178255297342687018849481191079150296586438968787485334521267465637074223468888110468709449580717749375264105378394908709745128641779381945364230856054958016162652329028403527493150004757384760552048057972916394733126947903680391339119802746747173344782454872998140767162177673727899247878056676997842227381788880110863472498235806448116995744026382514435835543130286408783391212597951889937771756101831913927830930349437388620832167136712780107457863566084328298116891052107269630253484494526369701798291258496003578058797480463226843247288353576415407801305163784432868036147950575382189885024310838053839846850882008165852803301682988875815448905650449403704702298575323281384080364946862028678182802179265004808794064686645218262417831182877802057741225503537206196037682713231405470615616084926990672178144830572508158834167827306736664127766894527954034734111599117815999803474404247421739432037065208816695180580716848337415385876099781103323974735052053748805722586761824591607785963778894755742565233921797978793836901342401211762945509784054987251463046137984027063781638328431157387834868769558863998914493441371036632272709040327654189754170579483796976483438041601981857894589654272772529035928698802235435235751312351596334720059314947015549982676604553051835004965538121875381070761002845298055757367141309107044672673698183903113279870827171504448320390932939552919152076117890665636568077076611544094940569056543104954112774369663978510756091722615899667125033321846614253680075018280476793838870062806782011991510617780610554089027826083955538513434382480481471912633705507535406367724736065365060769013839515206499217989154094353856818993158634167531453512063056502022638184301334}
19800 136986462553382786451841311682008751411909459076180173545908419982002070: {138551,197930,237516,454871,731231,810119,928391,1204079,1440071,1503052,1636511,1856594,1989599,2028791,2224631,2329202,2689672,2732879,2801234,2924332,3025881,3397516,3508202,3745319,3861791,3978794,4365671,4481759,4713719,4901224,5022551,5253839,5387114,5399121,5513877,5715551,6061079,6176111,6230572,6427525,6444239,6478984,6559031,6794344,6864791,6979319,7131911,7246271,7288857,7360559,7436711,7614145,7643212,7643637,7702991,7713030,7930919,8120639,8158559,8227232,8583532,8596905,8885234,9028511,9136974,9170032,9255636,9349202,9480719,9631199,10044074,10316286,10419119,10573672,10830431,10877350,10942439,11278031,11389751,11835911,11873039,11895381,12146865,12317951,12613919,12650879,12863109,12956656,13052820,13567022,13719239,13866071,13923008,14576238,14634839,14963231,15000117,15133516,15284872,15313225,15348081,15581759,15599212,15663384,15690671,15692505,16161791,16239602,16667639,16703711,16738672,16775831,16852072,17134521,17195481,17621307,17746319,17791624,18271525,18375870,18507602,18746591,18831006,18958581,19031231,19381460,19600928,19636202,19705199,20015577,20023439,20055385,20341031,20728319,21079559,21398997,21674831,21925830,22051044,22272901,22546031,22553714,22615511,23257752,23343119,23387552,23653871,23669354,23688359,23757311,23881377,23932492,23998391,24066462,24170351,24376439,24392716,24407305,24537705,24559274,25095479,25197911,25225202,25300271,25577545,25742999,25889834,26164971,26173552,26252159,26310996,26319911,26556791,26759519,26961959,27148012,27231431,27265079,27332351,27433199,27435602,27634679,27687800,27969839,28170551,28270799,28521772,28571111,28637759,28650550,28837511,28913269,28974314,28979116,29136599,29211729,29269319,29288766,29435039,29436172,29445246,29539705,29953384,30062951,30226161,30227711,30260639,30287594,30573361,30615189,30693054,30884872,31146671,31148775,31344837,31440719,31636391,31717132,31734119,31813202,31818430,31910785,32189231,32578079,32772071,33056104,33225360,33331754,33384479,33545159,33548114,33641471,33673559,33678865,33697557,33833879,34380660,34745481,34791599,34914664,34993189,35058602,35172671,35440384,35447646,35489351,35773679,35804716,35868311,35983525,36214679,36434591,36539350,36591431,36672704,36739417,36967031,37081875,37188117,37234405,37378530,37613932,37652639,37698184,37807919,37838951,38182116,38292942,38408469,38633865,38766191,39042959,39242344,39278997,39335402,39554000,39798265,39870432,39960839,39972457,40319116,40386719,40414638,40417079,40750511,41022599,41029994,41093224,41113151,41209456,41256792,41274249,41304670,41474639,41504711,41744999,41924879,42014711,42104471,42116812,42117145,42373319,42410457,42582981,42641519,42760511,42849671,43160305,43180230,43676230,43847220,43884551,43973354,44108449,44147637,44357452,44498250,44588519,44617751,44681286,44851319,44854236,44967911,45049809,45200711,45425941,45454900,45458917,45635831,45710344,45838271,45924911,46058912,46069151,46229877,46270751,46360638,46413891,46681202,46770368,46930391,47036716,47130311,47145637,47302634,47443679,47464800,47757918,47869439,48034129,48124031,48406151,48473704,48715559,48967991,48996745,49247711,49393672,49565604,49801497,49804751,49971239,49990270,49998959,50540574,50629120,50694025,50909231,50964119,51424137,51520521,51538024,51739534,51792366,51816276,51892319,52122889,52411476,52430834,52456072,52616664,52676711,52703639,52865039,53322081,53397900,53630725,53827391,53984872,54063961,54066359,54130732,54456914,54495385,54532917,54542351,54545880,54621431,54700439,54753071,54901384,55068191,55170505,55263314,55408271,55452652,55567881,55616879,56549279,56626511,56957760,57030757,57037199,57037672,57103510,57394871,57471311,57649391,57850089,57952264,57953759,57980277,58105511,58182272,58408151,58465874,58483631,58533911,58796094,59013081,59059919,59193747,59234471,59532791,59681519,59840332,59904071,59978111,59988324,60009614,60052079,60167350,60396311,60418309,60448754,60714551,60732981,60754944,60832830,61362385,61364115,61564631,61733471,61764057,61781639,61828202,62141879,62174398,62221034,62237639,62285471,62459116,63012070,63235391,63353231,63517871,63799199,63974661,64056071,64077480,64167381,64356870,64705559,64751711,64820879,64888352,64941310,64967617,64981991,65027951,65050919,65148914,65196297,65248264,65355829,65394462,65455056,65713511,65736239,65872439,65985719,66189119,66204606,66346871,66367852,66526679,66800716,66951671,67085279,67196399,67275434,67285151,67350910,67462271,67660202,67858919,68012471,68209319,68236274,68318399,68326622,68349312,68358705,68524212,68556009,68644439,68647328,68774351,68990231,69097871,69382585,69569111,69593545,69739511,69995350,70097505,70182409,70331879,70366209,70457999,70583831,70683532,70751159,71208671,71300104,71366289,71826311,71867231,72087165,72173111,72200820,72315239,72618479,72657145,72719159,72779471,72915952,72999396,73039991,73099919,73319039,73338911,73362602,73404297,73571865,73576751,73597412,73634862,73636938,73646209,73695239,73705345,73734671,73872431,73913620,74029391,74205359,74212021,74461270,74475921,74533809,74574719,74748671,74770672,74845031,74979599,75234602,75418991,75607274,75608711,75614484,75646559,75722159,75824332,76004519,76266431,76674839,76772137,76822391,76892976,77014208,77228244,77234230,77316599,77588639,77696951,77750999,77850550,77876831,77929572,77954092,78038039,78431221,78447071,78464759,78476656,78711551,78816839,79058577,79148351,79426641,79717271,79870919,79921991,79955999,80006951,80212617,80311151,80329864,80512511,80729351,80764202,80779199,80821092,81126119,81208199,81288526,81472510,81744911,81761039,81841559,81985991,82030446,82193471,82225271,82885679,82934449,82939754,83087231,83133551,83259102,83377401,83409959,83457772,83486279,83501519,83512254,83668631,83729159,83804639,83840114,83954999,83994420,84117006,84119471,84342191,84665591,84782231,84883871,84915794,84956231,85057199,85215071,85315031,85357751,85471319,85612559,85682879,85720072,85728020,85808234,85898617,86238239,86265671,86311870,86388719,86504598,86616424,86640984,86794199,86821046,86910817,86927759,86994239,87188574,87362831,87393145,87466991,87596471,87635159,87660550,87712319,87776399,88005431,88169231,88207966,88286238,88344119,88356551,88446414,88566671,88603511,88652519,88696344,88704597,88730725,88907711,89051951,89073572,89075879,89166674,89289791,89353524,89360519,89430959,89466071,89547719,89594048,89605799,89692202,89709839,89847551,89927351,90051959,90164716,90186791,90196072,90331559,90371097,90496919,90649631,90779279,90971591,91003391,91161311,91234391,91296719,91358759,91502399,92041751,92139071,92245199,92300402,92359871,92426231,92473391,92482799,92529719,92539079,92595071,92669279,92681076,92733791,92773300,92897879,92915951,93086039,93112631,93130319,93165599,93183191,93288071,93365470,93417551,93420660,93426119,93518516,93519205,93553679,93570551,93720959,93770519,93876911,93901271,93917471,94063624,94109241,94140911,94156631,94373351,94441679,94464311,94534634,94555525,94657439,94701239,94732972,94773599,94809479,94852271,95006711,95048159,95143321,95190959,95362871,95440391,95485079,95504111,95541959,95616791,95647631,95690471,95726879,95727602,95852039,95898791,96052799,96086231,96108359,96124871,96157679,96168551,96379271,96385516,96389471,96394559,96424919,96435081,96494639,96524039,96586751,96601031,96643439,96666719,96694391,96734824,96815351,96845759,96913514,96930479,96934631,97074911,97090319,97132031,97143239,97201799,97219679,97251359,97316111,97355519,97384319,97421711,97427831,97443477,97463879,97471107,97481471,97501631,97518599,97524191,97575719,97609460,97677071,97693031,97697519,97699751,97730159,97767012,97790039,97819031,97822511,97832759,97847591,97858679,97875311,97885391,97924394,97931039,97933271,97937639,97946999,97952879,97965479,97968791,97977959,97982111,97984079,97998119,98005511,98007599,98008319,98009159,98260202,98517349,98762834,99419350,99648704,99783387,99831662,99930602,99992584,...,100064758086411258052665794602341954101381031283922306540686423256751489148417388976905346338026048902191814709362150852779371003600953853323039808218253511437725024302230741213975540056156139537401010881899787705510815982620708114946413031050577396630400894565029115440574174344981644933820356966318594367644599910192145559488612477181931061644724430209838283994009984236515714536186657881609586059087913687533185166116956284989061613626538135441643258390738210583744464909873252585861574862411773671257381241911613587139771563666887644908677980841005612261720017399245013978050982646996439336944163133918446378592963502298517677357909363175066878371604321194839500132775575655394916635633355848192740060774410196380436288664240698311611699632894859867138319549703983605203631783596988135160060739839068625408892271318913254490970898945462560186237145436851221334749472890053790414462851165618004971524590397220180132283420935281958607662740169814987212159972721512853053199953198027955079003705455652013820442266167511444540783702095955046611548582525062698700441552347052603406870617334063570402817744231783379163257074328090803908570771431719893472424532292178544022627460597839747764781773763455977730191887179918505958042824740244273566700966273366535641788576235021143513392027739301219827087339189139696939730636655909427028378571225501149518897023874380118233386188435821176375830497694797679046078483203561742245974549987488586399939753179484267382946014030528274221786618725444879658453181228001781901198455611335203332165703064174371076624062896158067592363064617692962669072918046346284082437024243978493542605291239725007136077140828072086959374592099690421855520587008679704120120760017173682309497211150743266510591848871817085015496763341072683320166295208747353709672175493616039573771653753314695429613175086818896927834906657634152747870891746395524156082931248250705069170161186795349126492447175336578160904445380226741789554552697436887744005367088196220694840264870932530364623111701957745676649302054221925863073284827536466257080759770276323012248779204952524483313723173358475674105557053447862984922076120547420293043017274203268897507213191097029967827393626746774316703086611838255305809294056524069847108205923424127390486008267217245858762238251251740960104996191650341791931052101167398676723999705211606371132609148055597813225042770871075272506123078814149671654985962102578080623208583880142736887411678945668342133613847850882696968190755352013601817644418264676082480877194569206976040595672457492646736081752303154338295998371740162056554948409063560491481284631255869225695464725157062402972786841884481409158793553893048203353152853626968527394502080088972420523324974014906829577752507448307182813071606141504267947083636050711963660567009010547275854669919806240757256672480586399409329378728114176835998454852115614917316142410853584814657431169161554495967766134137583923849500687549982769921380520112527420715190758305094210173017987265926670915831133541739125933307770151573720722207868950558261303109551587104098047591153520759272809748826983731141530785228489737951251297180268094584753033957276452001}
19801 137520148337504020822812294693900735439727517100794472616379348162122698: {19801,296895,316688,356274,1878815,2254578,2353463,2784891,2828111,3362090,3493803,3655415,4034508,4201851,4246895,4288571,4386498,4786034,5096274,5262303,5669111,5945051,5968191,6126530,6737819,7134443,7198828,7351836,7449143,7788215,8023778,8039471,8080671,8098730,8492930,8634683,9251963,9345858,9500231,9554015,9718476,10191516,10284040,10409831,10729415,10883903,11337074,11462540,11464818,11569545,11633339,11818274,12182632,12340848,12606242,12766898,12875298,13217090,13327851,13374263,13705461,13755048,13883454,14023803,14646338,14745563,15066111,15451538,15474429,15567671,15643511,15832751,15860508,16077314,16126763,16195820,16316025,17150812,17403760,18198791,18916895,18969179,19106090,19434984,19476458,19499015,19579230,20000156,20241143,20350533,20464108,20817554,20884512,20898674,20923340,21065090,21765602,21864357,22239530,22305371,22457663,22700274,22791743,22846028,22901858,22927308,23398818,23495076,23597519,24121058,24226825,24359403,24501160,25108008,25278108,25849031,26209211,26296091,26473634,26687436,27006263,27024263,27336383,27376271,27563805,27662951,27761403,28246509,28531996,28858418,28924091,29072190,29234440,29401392,29454303,29915615,30261218,30490895,30550331,30753362,30797954,31010336,31065323,31841836,32088616,32395031,32460311,32463863,32716940,32888745,32985911,33076566,33595778,33830571,33935015,34254242,34287863,34337051,34461431,34609750,34761071,34886628,35081328,35490722,35504031,35652215,35793083,35898738,35956571,36058274,36099693,36223895,36589074,36795215,36838911,37269719,37441730,37767839,37837803,38570642,38606090,38834751,38948972,39041519,39051688,39260328,39466494,39646415,39730178,39996551,40301548,40722018,40820252,40924072,41153403,41320130,41531700,41604431,41702783,41793116,42414491,42782658,42975825,43219463,43357499,43461471,43468674,43643330,43744514,43908311,43933149,44154258,44167869,44300480,44574311,44755895,44930076,45095771,45431391,45578858,45630143,45840880,45899063,46039581,46327308,46329074,47017415,47122730,47236763,47263528,47575698,47719803,47727645,48038711,48659351,48828863,48917738,49052930,49199138,49267199,49442500,49584156,49838040,49907963,49976363,49997631,50146034,50322171,50398895,50654651,50708231,50909488,51057256,51211292,51366530,51511820,51570990,51665231,52371996,52587903,52646015,53160576,53171469,53174882,53511938,53699711,53707074,53886184,54299879,54809025,54932834,55009056,55032332,55446815,55590578,56067795,56420898,56547276,56777308,56818625,57092231,57137930,57273174,57439413,57573640,58227143,58462960,58795895,58863516,58923191,59003103,59331000,59575048,59805648,60066412,60104411,60318431,60440351,60478674,60592130,60610058,60621957,60725291,60743138,61544991,61639836,61742090,61814184,61885188,61957005,61994363,62124338,62387591,63175218,63286400,63648071,63677224,63746759,63801458,64422530,64454783,64770345,65253071,65424338,65514345,65570090,65770830,65794091,65960031,66087472,66288554,66401996,66434519,66536178,66669803,66747375,67021929,67059311,67281354,67387432,67481090,67525511,67584554,67663415,68182350,68565516,68626730,68667074,68694028,69056488,69088368,69315815,69540957,69730442,69881968,69887231,70021803,70155552,70288631,70555074,70831919,70953951,71096108,71197200,71259071,71297090,71578898,71636877,72095522,72440330,72710556,72727840,74043323,74090508,74348406,74633999,74800415,74928071,74985405,75005063,75789371,75810861,75943680,77133452,77220242,77298698,77307036,77609301,77688549,77724414,78073895,78394792,78410651,78460139,78617214,78646251,78684108,78745511,78921563,78924996,79663778,79667951,79984432,80067671,80096850,80239991,80598578,80977308,81006592,81110440,81120482,81196098,81560330,81582311,81685371,81818820,82006031,82305671,82346594,82352076,82871483,82894971,82959815,83178978,83397098,83500895,83723471,84642971,85075103,85299548,85436640,85556508,85655265,85809160,86706194,86928396,87192616,87195119,87273408,87493511,87698351,87698811,88194141,88272808,88354415,88744763,89125130,89478239,89760498,89982486,90014421,90079031,90251025,90673131,90675143,90876434,91132416,91144940,91249245,91365616,91408012,91858463,91996765,92392025,92657591,92691743,92742303,93143339,93261597,93331551,93463340,93688674,93819311,93821612,94518105,94746359,94773218,94780415,95155052,95303762,96116220,96161951,96267760,96535305,97186991,97332528,97411965,97442615,97670258,97723371,97872396,98091693,98095820,98140418,98179816,98182584,98524394,98538242,99084251,99301228,99306909,99378412,99551778,99942578,...,133419677448548344070221059469789272135174708378563075387581897675668652197889851969207128450701398536255752945816201137039161338134605137764053077624338015250300032402974321618634053408208186049868014509199716940681087976827610819928550708067436528840534526086705487254098899126642193245093809288424792490192799880256194079318149969575908082192965906946451045325346645648687619381582210508812781412117218250044246888155941713318748818168717513922191011187650947444992619879831003447815433149882364895009841655882151449519695418222516859878237307788007483015626689865660018637401310195995252449258884178557928504790618003064690236477212484233422504495472428259786000177034100873859888847511141130923653414365880261840581718218987597748815599510526479822851092732938644806938175711462650846880080986452091500545189695091884339321294531927283413581649527249134961779665963853405053885950468220824006628699453862960240176377894580375944810216986893086649616213296962017137404266604264037273438671607274202685093923021556681926054378269461273395482064776700083598267255403129403471209160823112084760537090325642377838884342765770787738544761028575626524629899376389571392030169947463786330353042365017941303640255849573224674610723766320325698088934621697822047522384768313361524684522703652401626436116452252186262586307515541212569371171428300668199358529365165840157644514917914428235167773996926396905394771310938082322994632733316651448533253004239312356510594685374037698962382158300593172877937574970669042534931274148446937776220937418899161435498750528210756789817419490257283558763890728461712109916032325304658056807054986300009514769521104096115945832789466253895807360782678239605493494346689564909745996281534324355347455798495756113353995684454763577760221726944996471612896233991488052765028871671086260572817566782425195903779875543512203663827855661860698874777241664334273425560214915727132168656596233782104214539260506968989052739403596582516992007156117594960926453686494576707152830815602610327568865736072295901150764379770048621676107679693701764016331705606603365977751630897811300898807409404597150646562768160729893724057356365604358530009617588129373290436524835662365755604115482451007074412392075365426462810941231232169853981344356289661145016317668335654613473328255533789055908069468223198235631999606948808494843478864074130417633390361161433696674830771752199562206647949470104107497611445173523649183215571927557789511485130467843595957587673802684802423525891019568109974502926092275968054127563276656862314775669737539117727997828986882742073264545418080655308379508341158967593952966876083203963715789179308545545058071857397604470870471502624703192669440118629894031099965353209106103670009931076243750762141522005690596111514734282618214089345347396367806226559741654343008896640781865879105838304152235781331273136154153223088189881138113086209908225548739327957021512183445231799334250066643693228507360150036560953587677740125613564023983021235561221108178055652167911077026868764960962943825267411015070812735449472130730121538027679030412998435978308188707713637986317268335062907024126113004045276368602668}
19802 138055898620625149920133520615343169577585998352531873374402545280841409: {277102,395860,475032,534411,849637,909742,1462462,1620238,1856782,2028997,2408158,2880142,3006104,3273022,3381867,3713188,3784537,3900997,3979198,4057582,4449262,4658404,5043135,5292901,5379344,5465758,5602468,5848664,6051762,6100057,6444901,6579747,6795032,7016404,7179051,7247017,7361317,7490638,7644411,7723582,7957588,8159401,8731342,8963518,8998535,9189795,9427438,9802448,10045102,10507678,10659803,10774228,10798242,10980901,11027754,11431102,11874277,12035667,12122158,12148095,12352222,12461144,12652201,12739395,12855050,12888478,12957968,13118062,13588688,13729582,13958638,13977577,14018787,14263822,14307301,14328175,14492542,14577714,14721118,14873422,15228290,15286424,15287274,15405982,15426060,15619717,15728617,15861838,16241278,16317118,16454464,16705477,17005611,17167064,17193810,17197227,17727411,17770468,18057022,18273948,18340064,18511272,18698404,18909363,18961438,18962137,19150347,19262398,19312947,19825635,20088148,20244775,20632572,20825181,20838238,20976517,21147344,21438515,21660862,21754700,21884878,21969507,22556062,22779502,23172697,23177307,23671822,23690917,23746078,23790762,24115971,24293730,24413401,24635902,25000195,25227838,25301758,25580135,25726218,25913312,26105640,26153317,26154175,27134044,27268057,27438478,27732142,27846016,28077539,28273897,28557535,28659135,28774117,29152476,29214687,29269678,29368845,29471401,29926462,30000234,30263977,30267032,30569744,30626450,30696162,31163518,31198424,31226331,31326768,31348011,31381342,31385010,31444201,31597635,31639897,31737637,32225257,32323582,32479204,32648403,32904901,33335278,33359295,33407422,33477344,33551662,33581017,33677317,33704144,34050411,34170227,34269042,34352787,34390962,34827301,35098227,35242614,35492638,35583248,35664995,35777701,35808563,36181587,36438697,36543050,36751740,37002457,37015204,37493182,37662012,37843237,37917162,38062462,38400517,38762920,38770597,39047401,39201856,39272404,39410398,39507301,39710451,39802295,40031154,40046878,40110770,40148137,40421701,40652491,40682062,40896175,41328901,41355587,41456638,41509477,42159118,42797994,43287627,43299397,43349662,43419311,43608285,43851660,44102088,44545802,44622937,44675099,45092062,45107428,45231022,45391827,46130043,46196931,46515504,46686238,46775104,46878697,47150411,47307742,47338708,47376718,47477701,47514622,47762754,47864984,47996782,48132924,48340702,48686215,48752878,48785432,48814610,49075410,49118548,49614849,50004901,50190958,50376935,50393667,50395822,50450404,50600542,51025315,51155090,51244201,51381363,51485998,51779668,51898537,51914625,52128167,52241395,52329942,52347104,52504318,52621992,52639822,52709977,53113582,53236083,53514217,53519038,53685203,53848107,53923918,54087411,54296024,54462862,54530158,54664702,54866398,54871204,54883611,55269358,55375600,55649701,55717571,55939678,56162595,56194777,56341102,56541598,56581957,56659177,56767607,57043544,57142222,57275518,57301100,57427417,57675022,57826538,57855963,57909135,57948628,57958232,57960901,58273198,58423458,58490857,58538638,58577532,58870078,58872344,58890492,58964003,59079410,59199741,59465701,59595267,59906768,59985577,60059557,60125902,60424427,60428377,60452322,60455422,60521278,60575188,61083027,61146722,61230378,61386108,61769744,61803125,61885657,61980195,62293342,62297550,62532037,62689674,62881438,63272782,63434264,63468238,63626404,63636860,63821570,64014115,64173987,64378462,64389775,64990297,65059237,65156158,65203011,65464995,65539801,65544142,65616771,65744677,66016837,66112208,66220201,66231387,66450720,66663508,66768958,67090318,67096228,67282942,67347118,67357730,67360357,67395114,67667758,68218201,68368287,68595443,68675077,68761320,68790415,68999257,69306259,69490962,69493611,69514201,69583198,69829328,69960997,69986378,70117204,70345342,70593157,70684095,70880768,70895292,70971635,70978702,71280217,71363547,71547358,71609432,71736622,71897257,71967050,72429358,72869182,73078700,73182862,73345408,73348777,73376607,73478834,73527301,73579395,73798707,73934062,74163750,74234917,74376234,74468810,74757060,75083015,75162277,75219051,75227864,75305278,75396368,75615838,75677902,76014937,76293539,76364232,76585884,76779911,76816938,77049795,77071717,77238707,77267730,77356485,77532382,77887657,78085918,78439163,78475717,78484688,78557994,78670804,78845401,79108000,79367401,79596530,79740864,79762323,79921678,79944914,79984297,80035237,80267907,80560611,80638232,80773438,80829276,80834158,81137701,81501022,81529957,81772777,81869401,82045198,82059988,82186448,82205317,82226302,82399251,82418912,82513584,82548498,82609340,82942847,82949278,83002495,83009422,83145637,83376217,83385867,83422117,83489998,83513701,83741401,83831977,83849758,84029422,84208942,84233624,84234290,84413701,84631347,84746638,84820914,84949051,85165962,85283038,85498201,85521022,85699342,85706895,85867535,85907339,85909761,85919401,86320610,86360460,86820697,87258277,87352460,87694440,87769102,87802597,87840937,87946708,88216898,88295274,88370137,88555717,88592617,88714904,88870135,88921477,88996500,89177038,89235502,89315497,89362572,89386201,89702638,89708472,89838757,89935822,90099618,90401422,90718011,90804457,90836677,90851882,90888195,90909800,90915087,90917834,91114707,91271662,91420688,91527301,91618777,91676542,91739737,91829701,91849822,92066437,92117824,92138302,92459754,92497897,92541502,92554201,92613135,92691443,92693701,92721276,92827782,92913157,93186507,93362404,93415897,93441637,93540736,93860782,93941317,94073432,94260622,94273957,94291274,94605268,94636837,94762827,94789801,94887358,94929600,95166937,95501701,95515836,95702187,95738878,95833477,96068258,96239557,96248062,96411817,96416815,96442201,96560857,96632677,96633795,96660901,96812302,96947408,96952357,97013737,97036663,97108201,97135619,97164901,97241257,97303897,97373701,97430963,97431118,97467301,97718437,97725097,97781797,97810777,97925179,97935982,97963237,97972201,97993490,98001577,98024617,98028901,98029801,98136507,98355135,98495422,98656245,98787344,99131208,99432831,99602994,99609502,99804267,99942478,99980540,99997918,...,200129516172822516105331589204683908202762062567844613081372846513502978296834777953810692676052097804383629418724301705558742007201907706646079616436507022875450048604461482427951080112312279074802021763799575411021631965241416229892826062101154793260801789130058230881148348689963289867640713932637188735289199820384291118977224954363862123289448860419676567988019968473031429072373315763219172118175827375066370332233912569978123227253076270883286516781476421167488929819746505171723149724823547342514762483823227174279543127333775289817355961682011224523440034798490027956101965293992878673888326267836892757185927004597035354715818726350133756743208642389679000265551151310789833271266711696385480121548820392760872577328481396623223399265789719734276639099407967210407263567193976270320121479678137250817784542637826508981941797890925120372474290873702442669498945780107580828925702331236009943049180794440360264566841870563917215325480339629974424319945443025706106399906396055910158007410911304027640884532335022889081567404191910093223097165050125397400883104694105206813741234668127140805635488463566758326514148656181607817141542863439786944849064584357088045254921195679495529563547526911955460383774359837011916085649480488547133401932546733071283577152470042287026784055478602439654174678378279393879461273311818854056757142451002299037794047748760236466772376871642352751660995389595358092156966407123484491949099974977172799879506358968534765892028061056548443573237450889759316906362456003563802396911222670406664331406128348742153248125792316135184726129235385925338145836092692568164874048487956987085210582479450014272154281656144173918749184199380843711041174017359408240241520034347364618994422301486533021183697743634170030993526682145366640332590417494707419344350987232079147543307506629390859226350173637793855669813315268305495741783492791048312165862496501410138340322373590698252984894350673156321808890760453483579109105394873775488010734176392441389680529741865060729246223403915491353298604108443851726146569655072932514161519540552646024497558409905048966627446346716951348211114106895725969844152241094840586086034548406537795014426382194059935654787253493548633406173223676510611618588113048139694216411846848254780972016534434491717524476502503481920209992383300683583862104202334797353447999410423212742265218296111195626450085541742150545012246157628299343309971924205156161246417167760285473774823357891336684267227695701765393936381510704027203635288836529352164961754389138413952081191344914985293472163504606308676591996743480324113109896818127120982962569262511738451390929450314124805945573683768962818317587107786096406706305707253937054789004160177944841046649948029813659155505014896614365626143212283008535894167272101423927321134018021094551709339839612481514513344961172798818658757456228353671996909704231229834632284821707169629314862338323108991935532268275167847699001375099965539842761040225054841430381516610188420346035974531853341831662267083478251866615540303147441444415737901116522606219103174208196095182307041518545619497653967462283061570456979475902502594360536189169506067914552904002}
19803 138593721332537492654630349383913841943251659981098886655353780070681060: {39602,415653,494825,593790,633376,712548,1364613,2193693,2430357,2630341,2785173,3342313,3612237,3757630,4320213,4509156,4641485,4706926,4909533,5117581,5569782,5656222,5823005,5945653,5968797,6086373,6304397,6673893,6724180,6987606,7003085,7310830,7727333,7962877,8069016,8198637,8403702,8493790,8577142,8770505,8772996,8907701,9077643,9501193,9572068,9946985,10192548,10524606,10903501,11235957,11338222,11507837,11585373,11634517,11890102,11936382,12253060,13097013,13173917,13375621,13445277,13467785,13475638,14141157,14268886,14397656,14703672,14898286,15021181,15067653,15576430,15761517,15771461,16047556,16078942,16161342,16197363,16197460,16541631,16985860,17146653,17269366,17994317,18183237,18503926,18528333,18613877,18691716,18711433,19000462,19108030,19282575,19332717,19436952,19677093,19786181,20383032,20568080,20594373,20819662,20937957,21395733,21458830,21738813,21767806,21866571,22081677,22213085,22310133,22674148,22842435,22925080,22929636,22930911,23108973,23139090,23266678,23373005,23636548,23792757,24047213,24361917,24365264,24475677,24681696,25099741,25110185,25212484,25533796,25750596,25790715,26360893,26434180,26483653,26655702,26748526,26887901,27085533,27193375,27298621,27410922,27510096,27766908,27887977,28047606,28331501,28442157,28893597,29292676,29491126,29801561,30132222,30903076,30948858,31135342,31257357,31287022,31665502,31721016,32154628,32184797,32253526,32391640,32491293,32632050,32827317,33834093,33917555,34169253,34301624,34807520,35507733,35619117,35686143,36283141,36397582,36440595,36456733,36953853,37601573,37833790,37841757,37938358,37952637,38212180,38515717,38589327,38869968,38952916,38998030,39158460,40000312,40482286,40599005,40701066,40928216,41157717,41598213,41635108,41769024,41797348,41846680,41881861,42130180,42687253,42827657,43531204,43537181,43728714,43904517,44479060,44578837,44610742,44889693,44915326,45000351,45400548,45583486,45692056,45803716,45854616,45939675,46044243,46139977,46269005,46745277,46797636,46990152,47072013,47077515,47195038,47509021,48242116,48453650,48485373,48718806,48833821,49002320,49090505,49168873,49913101,50002917,50111133,50129717,50216016,50327493,50556216,50713453,51403563,51404837,51513301,51586443,51670477,51698062,52418422,52592182,52863921,52947268,53238957,53374872,53952701,54012526,54048526,54619781,54672766,54752542,54814575,55127610,55325902,55328873,55504981,55522806,56239773,56384285,56493018,56875743,57063992,57093693,57545101,57716836,57848182,58144380,58468880,58802784,58908606,59115597,59173385,59831230,60046731,60070317,60166155,60522436,60981790,61023093,61100662,61398185,61506724,61595908,61797493,62020672,62130646,62184957,62658253,63063005,63238677,63683672,64177232,64196991,64429097,64724585,64790062,64920622,64927726,65024493,65433880,65777490,65824381,65971822,66153132,66818703,66856357,67191556,67414717,67638093,67661142,67846533,67870030,68508484,68575726,68589005,68674102,68922862,69219500,69522142,69773256,70029357,70162656,70558453,70961613,70981444,71008062,71065077,71271933,71304430,71586166,71626375,71644131,71766253,71797476,71913142,71995173,72116548,72199386,72435785,72447790,72511053,73129317,73178148,73221915,73233001,73590430,73613115,73677822,73704421,74539438,74883460,75286437,75478181,75535678,75593733,75675606,75718985,75900813,76732635,76740917,77141284,77212180,77228997,77449433,77625541,77669502,77756653,77897944,78083038,78103376,78494913,78520656,78756477,78932988,78959733,79251913,79292830,79460356,79533005,79546075,79670373,79993102,80278557,80603096,80885877,81416201,81444036,81640504,81694293,81795237,81848144,81997053,82299597,82306806,82314253,82640260,82904037,83025437,83063400,83208862,83329385,83405566,83586232,83870285,83909517,84511653,84812397,84828982,85533701,85565316,85713333,85913277,85951650,86438926,86512533,86714998,86739807,86922942,86937348,87286660,87409797,87489028,87635187,87646505,87807957,87816622,87866298,88203817,88305117,88308516,88335738,88600960,88619115,88730573,89148622,89290157,89487397,89511790,89860152,90188853,90191542,90678483,90683133,90781917,90862782,91157716,91260286,91348375,91681760,91720083,91798126,91845567,92079162,92654616,92658148,92667133,92740937,93440013,93446325,94034511,94034830,94153033,94245460,94322157,94473526,94527056,94728781,94909173,95151396,95202357,95439606,95455290,95732355,96077422,96279917,96567693,97042141,97318702,97657726,97734237,97835476,98105860,98316213,98338505,98398276,98534398,98885000,99084277,99111101,99168312,99676080,99815926,99952726,99995262,...,300194274259233774157997383807025862304143093851766919622059269770254467445252166930716039014078146706575444128086452558338113010802861559969119424654760534313175072906692223641926620168468418612203032645699363116532447947862124344839239093151732189891202683695087346321722523034944934801461070898955783102933799730576436678465837431545793184934173290629514851982029952709547143608559973644828758177263741062599555498350868854967184840879614406324929775172214631751233394729619757757584724587235321013772143725734840761419314691000662934726033942523016836785160052197735041934152947940989318010832489401755339135778890506895553032073728089525200635114812963584518500398326726966184749906900067544578220182323230589141308865992722094934835098898684579601414958649111950815610895350790964405480182219517205876226676813956739763472912696836387680558711436310553664004248418670161371243388553496854014914573771191660540396850262805845875822988220509444961636479918164538559159599859594083865237011116366956041461326798502534333622351106287865139834645747575188096101324657041157810220611852002190711208453232695350137489771222984272411725712314295159680417273596876535632067882381793519243294345321290367933190575661539755517874128474220732820700102898820099606925365728705063430540176083217903659481262017567419090819191909967728281085135713676503448556691071623140354700158565307463529127491493084393037138235449610685226737923649962465759199819259538452802148838042091584822665359856176334638975359543684005345703595366834005609996497109192523113229872188688474202777089193853078888007218754139038852247311072731935480627815873719175021408231422484216260878123776299071265566561761026039112360362280051521046928491633452229799531775546615451255046490290023218049960498885626242061129016526480848118721314961259944086288839525260456690783504719972902458243612675239186572468248793744752115207510483560386047379477341526009734482713336140680225368663658092310663232016101264588662084520794612797591093869335105873237029947906162665777589219854482609398771242279310828969036746337614857573449941169520075427022316671160343588954766228361642260879129051822609806692521639573291089903482180880240322950109259835514765917427882169572209541324617770272382171458024801651737576286714753755222880314988574951025375793156303502196030171999115634819113397827444166793439675128312613225817518369236442449014964957886307734241869625751640428210662235036837005026400841543552648090904572266056040805452933254794028247442631583707620928121787017372477940208245256909463014887995115220486169664845227190681474443853893767607677086394175471187208918360525653444227476380661679144610059458560880905582183506240266917261569974922044720488733257522344921548439214818424512803841250908152135890981701027031641827564009759418722271770017441759198227988136184342530507995364556346844751948427232560754443972293507484663487903298402412751771548502062649948309764141560337582262145572274915282630519053961797780012747493400625217377799923310454721162166623606851674783909328654761312294142773460562277818429246480951193424592355685469213853753891540804283754259101871829356003}
19804 139133624433275306569053332034643775331106084102283660036354288329236645: {59403,217723,554204,791720,810283,890685,950064,1046803,1068822,1699274,1819484,2107579,2924924,3240476,3713564,4057994,4443979,4560043,4816316,4907803,5139283,5636445,5760284,6012208,6546044,6751579,6763734,7060389,7426376,7438243,7569074,7780603,7801994,7958396,8115164,8349763,8354673,8405225,8484333,8898524,9316808,9708403,10086270,10481409,10585802,10758688,10931516,10966245,11204936,11392123,11697328,11965085,12103524,12200114,12283483,12394579,12597949,12605553,12740685,12865713,12889802,13059643,13159494,13590064,14032808,14358102,14494034,14710963,14722634,14981276,15288822,15316325,15447164,15786909,15915176,16237579,16318802,16779379,17007333,17462684,17835153,17904573,17927036,17997070,18379590,18854876,19354963,19604896,19886323,20059445,20090204,20213457,20246825,20415883,20627203,21015356,21232325,21319606,21403329,21548456,21596484,21961802,22055508,22098379,22347429,22620379,22862204,23364645,23748554,23762443,24071334,24072403,24118413,24242013,24244316,24296190,24704444,24922288,25100923,25304402,25478790,25710100,25776956,25904049,25915936,26236124,26325643,26630203,27177376,27338323,27459164,27755889,27917276,27955154,28037574,28342685,28343803,28500693,28527644,28614602,28644043,28656350,28662045,28985084,29155428,29342083,29442236,29545685,29746844,30013921,30456580,30572848,30574548,30811964,30852120,31229493,31239434,31457234,31515605,31723676,31917245,32188245,32482556,32634236,32651709,32779363,32908928,33042725,33166579,33410954,34011222,34033603,34225483,34334128,34387620,34394454,34708635,34900017,35000273,35454822,35540936,35560579,35812189,36114044,36547896,36615845,36680128,37022544,37396808,37818726,37922876,37924274,38300694,38524796,38625894,38628845,38836579,39651270,39980549,39983553,40122789,40176296,40193285,40489550,40759843,41116383,41265144,41650362,41676476,41934523,41953034,42024379,42071409,42294688,42877030,42918979,43321724,43509400,43769756,43939014,44236689,45036643,45112124,45198333,45435137,45559004,45993379,46339123,46345394,46354614,46423287,46703013,46930533,47283979,47343644,47381834,47492156,47498253,47581524,47765225,48043853,48231942,48380289,48473923,48587460,48691145,48826802,48948075,49063603,49271804,49930993,50000390,50455676,50603516,50976283,51160270,51452436,51826624,52043885,52211280,52246685,52306634,52308350,52662725,53813803,53893579,54268088,54414005,54536114,54596373,54766363,54876956,54989297,55395643,55464284,55598825,55692032,55723213,56155078,56547794,56750685,56907537,57115070,57254645,57318270,57548234,58094563,58304952,58429374,58497045,58539356,58548379,58737690,58942802,59298979,59597203,59852924,60000468,60302645,60527954,60534064,60723429,60778579,60851803,61051599,61139488,61216843,61252900,61392324,61797163,62229379,62301163,62327036,62396848,62452662,62653536,62696022,62762684,62770020,62813861,62888402,63195270,63227803,63279794,63298579,63369283,63446149,63475274,64072363,64450514,64647164,64768243,64958408,65044579,65296806,65593071,65809802,66138403,66184085,66670556,66718590,66814844,66916113,66954688,67080379,67103324,67162034,67354634,67372989,67408288,67678483,68008243,68100822,68160701,68340454,68375229,68538084,68705574,68781924,69051379,69313277,69654602,70196454,70392523,70485228,70527709,70707163,70792557,70985276,71020003,71166496,71206843,71329990,71435441,71516803,71555402,71617126,71886379,72146045,72363174,72680475,72877394,73078209,73086100,73137953,73398379,73503480,73754563,74004914,74030408,74086001,74225443,74517403,74807563,74865379,74986364,75324024,75439579,75653045,75667243,75686474,75834324,76124924,76510723,76801034,76883405,76994885,77525840,77541194,77547093,77610163,77718523,77934379,78094802,78403712,78468979,78522043,78544808,78627633,78680803,78820796,78888273,79014602,79420902,79604590,79978603,80062308,80093756,80221540,80296274,80535379,80843402,81018789,81072789,81280579,81304982,81364124,81792350,81907397,82009149,82009579,82057603,82128813,82248979,82657802,82691415,82711174,82913276,82988853,83018954,83188579,83234803,83284209,83693083,83989445,84318236,84739527,84957653,85197379,85454203,85595988,85635605,86291563,86414683,86524375,86575254,86598794,86699324,86772273,86838622,86900683,87216570,87493603,87703320,87803203,88183723,88204176,88362909,88445803,88726805,88814083,89091604,89103523,89245874,89350198,89529043,89619761,89703283,89746845,90145685,90184124,90214856,90462044,90481603,90710923,90783654,91315579,91439563,91472685,91650993,92071579,92188363,92260086,92389963,92393862,92475283,92643979,92700829,92782579,92946523,93031008,93161083,93195969,93214003,93372476,93550208,93601723,93604325,93702379,93727363,93757394,93948979,94045603,94069579,94188379,94300822,94615484,94677416,94753436,94755379,94884763,94943057,94955402,94969579,95029244,95053243,95525508,95729968,95993564,96202723,96265848,96306581,96423979,96426605,96515225,96681404,96715579,96902563,96978379,97046489,97145203,97185093,97372430,97380933,97391589,97464379,97505756,97518163,97561003,97570864,97629220,97734883,97767643,97773979,97810483,97855123,97860379,97865563,97880683,97913443,97926403,97971763,98024323,98031379,98150820,98237096,98666235,98957733,99229698,99325445,99360289,...,400259032345645032210663178409367816405524125135689226162745693027005956593669555907621385352104195608767258837448603411117484014403815413292159232873014045750900097208922964855902160224624558149604043527599150822043263930482832459785652124202309586521603578260116461762296697379926579735281427865274377470578399640768582237954449908727724246578897720839353135976039936946062858144746631526438344236351654750132740664467825139956246454506152541766573033562952842334977859639493010343446299449647094685029524967646454348559086254667550579634711923364022449046880069596980055912203930587985757347776652535673785514371854009194070709431637452700267513486417284779358000531102302621579666542533423392770960243097640785521745154656962793246446798531579439468553278198815934420814527134387952540640242959356274501635569085275653017963883595781850240744948581747404885338997891560215161657851404662472019886098361588880720529133683741127834430650960679259948848639890886051412212799812792111820316014821822608055281769064670045778163134808383820186446194330100250794801766209388210413627482469336254281611270976927133516653028297312363215634283085726879573889698129168714176090509842391358991059127095053823910920767548719674023832171298960977094266803865093466142567154304940084574053568110957204879308349356756558787758922546623637708113514284902004598075588095497520472933544753743284705503321990779190716184313932814246968983898199949954345599759012717937069531784056122113096887146474901779518633812724912007127604793822445340813328662812256697484306496251584632270369452258470771850676291672185385136329748096975913974170421164958900028544308563312288347837498368398761687422082348034718816480483040068694729237988844602973066042367395487268340061987053364290733280665180834989414838688701974464158295086615013258781718452700347275587711339626630536610991483566985582096624331724993002820276680644747181396505969788701346312643617781520906967158218210789747550976021468352784882779361059483730121458492446807830982706597208216887703452293139310145865028323039081105292048995116819810097933254892693433902696422228213791451939688304482189681172172069096813075590028852764388119871309574506987097266812346447353021223237176226096279388432823693696509561944033068868983435048953005006963840419984766601367167724208404669594706895998820846425484530436592222391252900171083484301090024492315256598686619943848410312322492834335520570947549646715782673368534455391403530787872763021408054407270577673058704329923508778276827904162382689829970586944327009212617353183993486960648226219793636254241965925138525023476902781858900628249611891147367537925636635174215572192813412611414507874109578008320355889682093299896059627318311010029793228731252286424566017071788334544202847854642268036042189103418679679224963029026689922345597637317514912456707343993819408462459669264569643414339258629724676646217983871064536550335695398002750199931079685522080450109682860763033220376840692071949063706683663324534166956503733231080606294882888831475802233045212438206348416392190364614083037091238995307934924566123140913958951805005188721072378339012135829105808004}
19805 139675615913230312390434799476342438938752271773503499167118822266749945: {79204,692755,831306,989650,1187580,1266752,1425096,1603233,2274355,2548911,2729226,3656155,3698299,4050595,4387386,4641955,4860714,5260682,5570346,6020395,6086991,6498079,6684626,6739183,7200355,7224474,7450651,7515260,8152207,8182555,8636431,8640426,8908603,9018312,9282970,9342223,9413852,9741187,9804319,9819066,9947995,10143955,10145601,10235162,10452511,10527283,11123155,11139564,11312444,11353611,11646010,11702991,11891306,11937594,12172746,12278707,12423379,12608794,13175251,13347786,13448360,13600171,13664395,13925779,13975212,14006170,14082463,14538799,14621660,15129405,15454666,15878703,15925754,16138032,16397274,16807404,16987580,17154284,17541010,17545992,17626927,17815402,18155286,18300171,18726595,18854899,19002386,19144136,19308955,19334703,19521871,19739241,19893970,20385096,20456899,21016699,21049212,21179947,21266011,21537153,21741051,21807002,21828355,22083951,22113967,22408795,22471914,22676444,22933233,23015674,23170746,23171599,23269034,23568595,23780204,23798419,23872764,24463483,24478203,24506120,25112755,26194026,26269195,26347834,26469187,26751242,26890554,26935570,26951276,26995605,27569385,28282314,28537772,28577755,28742239,28795312,29407344,29796572,29804587,29925859,30042362,30135306,30305395,30880555,31098319,31152860,31523034,31542922,31979409,32095112,32137625,32157884,32221195,32322684,32394726,32394920,32722207,32795155,32942703,33083262,33091411,33307627,33482683,33735787,33802579,33971720,34293306,34323955,34538732,34896595,35154259,35622831,35659555,35799739,35988634,36107001,36231355,36366474,36444285,36802795,37007852,37056666,37183555,37227754,37383432,37422866,37605391,37956603,37994659,38000924,38070725,38216060,38218185,38294587,38514955,38565150,38665434,38873904,39354186,39572362,39654595,40603195,40766064,40792795,41136160,41185903,41188746,41639324,41875914,41932731,42056361,42448099,42466699,42791466,42917660,42921903,42984525,43024747,43477626,43535612,43733142,44163354,44426170,44620266,44916811,45125827,45142555,45348296,45452143,45684870,45718963,45850160,45859272,45861822,46217946,46278180,46533356,46746010,46859151,47185851,47273096,47403595,47484577,47585514,48007663,48094426,48155995,48723834,48730528,48951354,49363392,50116431,50199482,50220370,50424968,50812147,51016833,51067592,51501192,51581430,51591681,51744019,51835003,52095595,52721786,52868360,52967306,53182233,53311404,53497052,53775802,53958223,54107659,54152155,54171066,54386750,54597242,54625327,54712195,54821844,55020192,55334491,55533816,55775954,56095212,56390155,56471299,56503183,56663002,56728089,56838607,56884314,56886411,56948755,57451041,57787194,57938841,58585352,58982252,59179555,59244211,59365195,59476905,59603122,59670187,60264444,60734325,60751171,61589755,61806152,61897716,62270684,62475543,62514714,62574044,62851723,62929551,63069595,63254395,63331004,63442032,63631459,63762283,64309256,64315545,64369594,64507052,64776607,64783280,64982586,65264100,65654634,65695519,65908521,66651343,66974443,67668186,67835110,67916299,68338506,68530447,68596195,68603248,68726707,68872483,69330355,69518091,69531921,69615040,70222699,70864783,71015466,71072751,71238234,71372286,72127099,72347913,72566282,72795164,72881190,72913466,73174195,73240203,73907706,74059603,74229199,74816155,75000585,75203146,75489403,75667580,75683514,75876716,75905274,76143187,76424360,76566125,76740405,77031434,77178654,77739936,77837899,77905832,77908795,77996060,78024211,78316920,78426799,78453355,78459951,78462525,78937999,79684363,80000624,80705551,80808955,80964572,81198010,81402132,81804171,81856432,82315434,82842739,83028403,83196426,83270216,83338195,83518555,83538048,83594696,83693360,83763722,83879155,84232617,84260360,84357967,84821691,85330939,85374506,85387723,85655314,85672605,85957459,85977405,86322351,86561131,87062408,87074362,87457428,87644061,87809034,88106535,88288207,88414203,88731595,88958120,89157674,89221484,89631391,89634499,89716363,89779386,89830652,90000702,90614419,90693811,90791931,90801096,91166972,91357625,91384112,91607432,91709232,91879350,92088486,92279954,92538010,93184939,93490554,93595272,93678993,93732955,93980304,94044033,94144026,94155030,94332603,94390076,94792905,94919691,94966387,94978063,95018042,95156155,95212911,96024607,96484232,96675771,96907300,96970746,97437612,97667642,97945209,98004640,98037643,98120971,98181010,98337746,98348251,98525995,98714703,99543643,99826202,...,600388548518467548315994767614051724608286187703533839244118539540508934890504333861432078028156293413150888256172905116676226021605723119938238849309521068626350145813384447283853240336936837224406065291398726233064895895724248689678478186303464379782405367390174692643445046069889869602922141797911566205867599461152873356931674863091586369868346581259029703964059905419094287217119947289657516354527482125199110996701737709934369681759228812649859550344429263502466789459239515515169449174470642027544287451469681522838629382001325869452067885046033673570320104395470083868305895881978636021664978803510678271557781013791106064147456179050401270229625927169037000796653453932369499813800135089156440364646461178282617731985444189869670197797369159202829917298223901631221790701581928810960364439034411752453353627913479526945825393672775361117422872621107328008496837340322742486777106993708029829147542383321080793700525611691751645976441018889923272959836329077118319199719188167730474022232733912082922653597005068667244702212575730279669291495150376192202649314082315620441223704004381422416906465390700274979542445968544823451424628590319360834547193753071264135764763587038486588690642580735866381151323079511035748256948441465641400205797640199213850731457410126861080352166435807318962524035134838181638383819935456562170271427353006897113382143246280709400317130614927058254982986168786074276470899221370453475847299924931518399638519076905604297676084183169645330719712352669277950719087368010691407190733668011219992994218385046226459744377376948405554178387706157776014437508278077704494622145463870961255631747438350042816462844968432521756247552598142531133123522052078224720724560103042093856983266904459599063551093230902510092980580046436099920997771252484122258033052961696237442629922519888172577679050520913381567009439945804916487225350478373144936497587489504230415020967120772094758954683052019468965426672281360450737327316184621326464032202529177324169041589225595182187738670211746474059895812325331555178439708965218797542484558621657938073492675229715146899882339040150854044633342320687177909532456723284521758258103645219613385043279146582179806964361760480645900218519671029531834855764339144419082649235540544764342916049603303475152573429507510445760629977149902050751586312607004392060343998231269638226795654888333586879350256625226451635036738472884898029929915772615468483739251503280856421324470073674010052801683087105296181809144532112081610905866509588056494885263167415241856243574034744955880416490513818926029775990230440972339329690454381362948887707787535215354172788350942374417836721051306888454952761323358289220118917121761811164367012480533834523139949844089440977466515044689843096878429636849025607682501816304271781963402054063283655128019518837444543540034883518396455976272368685061015990729112693689503896854465121508887944587014969326975806596804825503543097004125299896619528283120675164524291144549830565261038107923595560025494986801250434755599846620909442324333247213703349567818657309522624588285546921124555636858492961902386849184711370938427707507783081608567508518203743658712006}
19806 140219703793266649191313301385448154369562664066895617000761900528224486: {99005,118806,257309,435446,573533,849809,928673,1046909,1108408,1246959,1322513,1484475,1558433,1583440,1620566,1754813,1781370,1900128,1911773,2093606,2107793,2137644,2146973,3398548,3638968,3862973,4093839,4215158,4367009,4483133,5139809,5849848,6178013,6480952,6561053,6581079,6790493,6981473,7248509,7291071,7362833,7427128,7439009,7553213,7891023,8115988,8123153,8355519,8388509,8887958,9120086,9394075,9408353,9632632,9815606,10026939,10278566,10534673,10721693,10836711,10945853,11272890,11281553,11393309,11504993,11520568,11767315,12024416,12321809,12960639,13092088,13503158,13527468,13723553,13870433,13924455,13980509,14120778,14140555,14639453,14728599,14852752,14876486,15138148,15150173,15352743,15561206,15603988,15695633,15916792,16230328,16275473,16699526,16709346,16751119,16781153,16810450,16968666,17141393,17469015,17680253,17797048,17836959,17859473,17906391,18217313,18259119,18277075,18633616,18913191,18966173,19037309,19143953,19392509,19416806,19676093,19923809,20021679,20172540,20347553,20453309,20962818,21009255,21171604,21234475,21442855,21517376,21863032,21932490,22409872,22553309,22727009,22784246,23181999,23394656,23765009,23868413,23888631,23930170,24109409,24207048,24400228,24566966,24595911,24789158,25195898,25206113,25211106,25308509,25481370,25731426,25779604,25921373,26119286,26226833,26311515,26318988,26430113,26666909,26723103,27180128,27232929,27341309,27442193,28065616,28083223,28280093,28345555,28346909,28503579,28716204,28847009,28988068,29245793,29421926,29445268,29725255,29742653,29840955,29962552,30072893,30171809,30577644,30632650,30894328,30927773,31549073,31573818,31744673,31830352,32475158,32637604,32710503,33170273,33492113,33558758,33652733,33689095,33707871,34014666,34523511,34756119,34903551,34925368,35279633,35596193,35670306,35672215,35809146,35854072,35880413,35994140,36697853,36759180,37166993,37245715,37709752,37758653,38409233,38709926,38840993,38941075,39209792,39291039,39301853,39521751,39679759,39760913,39772646,40065953,40118890,40126863,40180408,40197355,40218173,40335831,40400573,40403355,40426914,40493650,40831766,40855313,41127293,41254406,41363959,41609213,42029213,42030712,42119009,42423471,42464650,42477473,42639212,42806658,42864509,43096912,43173415,43192968,43923604,43988093,44111016,44121847,44196758,44684143,44694858,44983613,45063543,45202959,45240758,45419873,45724408,45941009,46027613,46171793,46259815,46286993,46373309,46603133,46729290,46946909,47284551,47289533,47314383,47497108,47501155,47524886,47770075,47886353,48142668,48144806,48225809,48236826,48484026,48488632,48592089,48592380,48732833,49069409,49265213,49404833,49408888,49624893,49844576,49905809,50201846,50608804,50679953,50957580,51262183,51420200,51439959,51553912,51808098,51831872,52049155,52472248,52651286,52964753,53179409,53260406,53647075,53696071,53846909,53926673,53982951,54080383,54354752,54419515,54549711,54641309,54676646,54720353,54851933,54918328,55245473,55428509,55511778,55584999,55637213,55834552,55841631,55910308,56075148,56134299,56270599,56518493,56647313,56685370,56687606,56779099,57001386,57055288,57229204,57288086,57312700,57324090,57492509,57568913,57797693,57847725,57970168,57998151,58127009,58166695,58310856,58505309,58555613,58631009,58684166,58884472,59031279,59091370,59358543,59493688,59703773,59827553,60000509,60027842,60074513,60913160,61145696,61149096,61224509,61394273,61623928,61704240,61783119,62237213,62261153,62380733,62458986,62478868,62595473,62813871,62914468,63031210,63094013,63259409,63447352,63447953,63834490,63893693,64080509,64150433,64187199,64376490,64707233,64845713,64965112,64987351,65052893,65075873,65216439,65268472,65282333,65303418,65558726,65599713,65817856,66085450,66245031,66333158,66639255,66821908,66871315,66930399,67111313,67377809,68022444,68039009,68067206,68167603,68301473,68410493,68450966,68527305,68668256,68775240,68788908,68792733,68801309,68952593,69060413,69081953,69326919,69382673,69417270,69800034,70000546,70119015,70203727,70548893,70909644,71081872,71121158,71237009,71299133,71340509,71378271,71624378,71916413,71957309,72141639,72228088,72808733,72861439,73085751,73095792,73129373,73145359,73229153,73231690,73360256,73408253,73427031,73727815,73961309,74045088,74093503,74118173,74234563,74255009,74410913,74605073,74793616,75067793,75299223,75330555,75506909,75637452,75639713,75753233,75845752,75848548,76179607,76601388,76632509,76909409,77049592,77251788,77257690,77372145,77673158,77675153,77783393,77838355,77945213,77963153,78124253,78217555,78497633,78533009,78709409,79082679,79163755,79181693,79233809,79302540,79450959,79955873,79961098,79967106,80006909,80040893,80156503,80245578,80352592,80386570,80633815,80663703,80813693,80979100,81256599,81292193,81519686,81553313,81580125,81585809,81895863,81915691,82069409,82229009,82232766,82260833,82530288,82890593,83169809,83200673,83300724,83352952,83663931,83705309,83869046,83906068,84048758,84142818,84156509,84423703,84571133,84589376,84863453,84994503,85295933,85326471,85353053,85395809,85721213,85754060,85837958,86277053,86643448,86680791,86806673,87007133,87018800,87284753,87539512,87545873,87556183,87675233,87829409,87878028,88209809,88459409,88473378,88583009,88607633,88644509,88949009,89045393,89093393,89153213,89404683,89507933,89543009,89624573,89889809,90073286,90224248,90229409,90262973,90396666,90539873,90692753,90725309,90870274,90919133,90961853,90993955,91046909,91118008,91340573,91464509,91546493,91648253,91769309,91968509,91986758,92096273,92183933,92376413,92433533,92471453,92657719,92678246,92690788,92709228,92779409,92846574,92961809,92988893,93158753,93211793,93406026,93464093,93772071,93861066,93866909,93924113,93948509,93972833,93989009,94133153,94421309,94512413,94567958,94584475,94687288,94763668,94771553,94778813,94845895,94879613,94952671,94984312,94996506,95163048,95199773,95233553,95457953,95530450,95554013,95697809,95716253,95879009,96087706,96176033,96273809,96394973,96446333,96463884,96491873,96554391,96595613,96605309,96653309,96667553,96709853,96733073,96760578,96799651,96806033,96859409,96894353,96947846,96958493,96996113,97109009,97174920,97197053,97266593,97370513,97382290,97473879,97495075,97573793,97587773,97628513,97653604,97677533,97697309,97728353,97755809,97762493,97792733,97852253,97875809,97884509,97896150,97932509,97936913,97942673,97985309,97994333,98001809,98042513,98050913,98051453,98064509,98065313,98067293,98069009,98127206,98481951,98543608,99861986,...,900582822777701322473992151421077586912429281555300758866177809310763402335756500792148117042234440119726332384259357675014339032408584679907358273964281602939525218720076670925779860505405255836609097937098089349597343843586373034517717279455196569673608051085262038965167569104834804404383212696867349308801399191729310035397512294637379554802519871888544555946089858128641430825679920934486274531791223187798666495052606564901554522638843218974789325516643895253700184188859273272754173761705963041316431177204522284257944073001988804178101827569050510355480156593205125802458843822967954032497468205266017407336671520686659096221184268575601905344438890753555501194980180898554249720700202633734660546969691767423926597978166284804505296696053738804244875947335852446832686052372893216440546658551617628680030441870219290418738090509163041676134308931660992012745256010484113730165660490562044743721313574981621190550788417537627468964661528334884909439754493615677478799578782251595711033349100868124383980395507603000867053318863595419503937242725564288303973971123473430661835556006572133625359698086050412469313668952817235177136942885479041251820790629606896203647145380557729883035963871103799571726984619266553622385422662198462100308696460298820776097186115190291620528249653710978443786052702257272457575729903184843255407141029510345670073214869421064100475695922390587382474479253179111414706348832055680213770949887397277599457778615358406446514126274754467996079568529003916926078631052016037110786100502016829989491327577569339689616566065422608331267581559236664021656262417116556741933218195806441883447621157525064224694267452648782634371328897213796699685283078117337081086840154563140785474900356689398595326639846353765139470870069654149881496656878726183387049579442544356163944883779832258866518575781370072350514159918707374730838025717559717404746381234256345622531450681158142138432024578029203448140008422040676105990974276931989696048303793765986253562383838392773281608005317619711089843718487997332767659563447828196313726837932486907110239012844572720349823508560226281066950013481030766864298685084926782637387155467829420077564918719873269710446542640720968850327779506544297752283646508716628623973853310817146514374074404955212728860144261265668640944965724853076127379468910506588090515997346904457340193482332500380319025384937839677452555107709327347044894873658923202725608877254921284631986705110511015079202524630657944272713716798168122416358799764382084742327894751122862784365361052117433820624735770728389044663985345661458508994535681572044423331561681302823031259182526413561626755081576960332682429141985037433830178375682642716746550518720800751784709924766134161466199772567034764645317644455273538411523752724456407672945103081094925482692029278256166815310052325277594683964408553027591523986093669040534255845281697682263331916880522453990463709895207238255314645506187949844929292424681012746786436716824745847891557161885393340038242480201875652133399769931364163486499870820555024351727985964283936882428320381686833455287739442853580273777067056407641561261674622412851262777305615488068009}
19807 140765896124836261767413261815570628275956150511562898630903871078938791: {158408,178209,653169,969857,1385510,1662612,1979300,2375160,2430849,2533504,2672055,2850192,3140409,3184097,3206466,4133393,4248185,4370717,4548710,5097822,5118617,5458452,5670833,6322737,6498737,7312310,7396598,7964489,8041913,8101190,8428553,8774772,9283910,9343169,9721428,10080497,10144985,10412993,10521364,10528349,10887209,11040809,11140692,11455577,12040790,12173982,12424637,12996158,13331937,13369252,13478366,13680129,13884953,13927193,14083889,14201537,14400710,14448948,14723409,14901302,15030520,15417849,15572417,16304414,16365110,16909335,17134073,17182217,17272862,17280852,17817206,18036624,18565940,18684446,18827704,18922685,19130153,19482374,19504985,19608638,19638132,19895990,20254737,20287910,20291202,20470324,20905022,21018833,21054566,21181167,22246310,22279128,22314729,22624888,22640633,22707222,22863593,23292020,23341809,23405982,23604713,23782612,23875188,24345492,24468797,24557414,24837917,24846758,25049289,25064019,25215675,25217588,25452999,26217233,26350502,26464505,26598233,26695572,26896720,27032537,27200342,27328790,27384617,27851558,27950424,28012340,28164926,28911389,29077598,29125209,29243320,29583209,30258810,30383897,30500285,30559697,30909332,31372313,31385657,31444227,31757406,31851508,32224505,32276064,32794548,32898735,32996033,33311009,33614808,33975160,34176369,34308568,34471937,34879373,35082020,35091984,35157857,35253854,35630804,35895255,36062393,36235085,36310572,36468893,36600342,36776873,36806585,36850449,37183737,37453190,37709798,37779353,37793847,37816659,38004772,38222055,38288272,38597139,38617910,38665037,38669406,39043742,39178929,39478482,39787940,39848057,40008857,40011473,40770192,40797005,40913798,40935593,41617169,42033398,42098424,42359894,42427553,42532022,42897833,43074306,43232777,43482102,43614004,43656710,43921697,44132889,44167902,44227934,44483213,44817590,44943828,44992675,45109673,45130409,45352888,45866466,45913217,45948975,46031348,46341492,46343198,46538068,46624289,47137190,47360727,47441993,47560408,47596838,47745528,48053537,48237953,48674249,48712737,48855233,48926966,48956406,49012240,49923377,50187917,50225510,50338137,50723897,51021999,51523913,51749273,52056977,52388052,52538390,52695668,52938374,53201597,53299015,53502484,53505459,53713719,53716169,53781108,53871140,53902552,53920937,53991210,54113153,54316433,54904505,55138770,55362653,55516433,56477033,56564628,56736329,56747057,56844473,57075544,57109913,57155510,57484478,57590624,58064889,58814688,59371385,59593144,59609174,59658969,59851718,60084724,60178335,60270612,60336893,60458777,60610790,60640371,60740475,61247649,61259549,61761110,61881609,62196638,62305720,63046068,63085844,63199577,63261005,63696975,63766193,63768809,63958818,64190224,64209987,64275250,64297757,64315768,64442390,64645368,64789452,64789840,64809533,65444414,65590310,65814353,65885406,66166524,66182822,66295137,66365033,66615254,66690209,66776489,66965366,67042287,67079969,67418393,67471574,67546097,67605158,67861137,67943440,68586612,68647910,69077464,69793190,69887885,69908537,70093935,70241489,70308518,70853513,71117513,71245662,71287329,71319110,71536505,71599478,71640875,71977268,72214002,72217209,72355239,72462710,72726039,72732948,72888570,72933833,73075553,73605590,74015704,74113332,74279309,74367110,74455508,74657033,74766864,74845732,75210782,75302769,75813017,75913206,75989318,76001848,76141450,76145789,76432120,76436370,76589174,76597073,77029910,77130300,77330868,77712147,77747808,77798993,78098585,78434873,78484193,78643085,78708372,78769769,78946217,78976929,79144724,79292813,79309190,79692569,79728257,79890609,80264717,80949473,81206390,81532128,81585590,81607289,82014969,82272320,82371806,82377492,82851377,83111273,83267667,83278648,83527385,83749289,83751828,83865462,84112722,84896198,84933398,85028055,85031409,85101209,85241117,85502079,85582932,85835320,85843806,85932129,85969050,85986135,86049494,86225657,86955252,87071224,87078569,87222113,87466284,87725417,88026249,88297433,88326708,88556153,88637055,88852340,89214749,89240532,89833622,90041763,90251654,90285110,90696592,90904286,91369740,91437926,91700320,91718544,91723644,92435892,92556360,92686217,93066712,93492020,93688479,93718302,93848177,94172429,94371702,94546192,94546815,94807190,94810685,94969154,95171028,95369873,95751735,96015326,96034673,96188852,96311990,96564735,97062497,97447668,97461056,97902708,97955127,98338089,98462969,98726784,99128175,99499737,...,1200777097036935096631989535228103449216572375407067678488237079081017869781008667722864156056312586826301776512345810233352452043211446239876477698619042137252700291626768894567706480673873674448812130582797452466129791791448497379356956372606928759564810734780349385286890092139779739205844283595823132411735198922305746713863349726183172739736693162518059407928119810838188574434239894579315032709054964250398221993403475419868739363518457625299719100688858527004933578918479031030338898348941284055088574902939363045677258764002651738904135770092067347140640208790940167736611791763957272043329957607021356543115562027582212128294912358100802540459251854338074001593306907864738999627600270178312880729292922356565235463970888379739340395594738318405659834596447803262443581403163857621920728878068823504906707255826959053891650787345550722234845745242214656016993674680645484973554213987416059658295084766642161587401051223383503291952882037779846545919672658154236638399438376335460948044465467824165845307194010137334489404425151460559338582990300752384405298628164631240882447408008762844833812930781400549959084891937089646902849257180638721669094387506142528271529527174076973177381285161471732762302646159022071496513896882931282800411595280398427701462914820253722160704332871614637925048070269676363276767639870913124340542854706013794226764286492561418800634261229854116509965972337572148552941798442740906951694599849863036799277038153811208595352168366339290661439424705338555901438174736021382814381467336022439985988436770092452919488754753896811108356775412315552028875016556155408989244290927741922511263494876700085632925689936865043512495105196285062266247044104156449441449120206084187713966533808919198127102186461805020185961160092872199841995542504968244516066105923392474885259845039776345155358101041826763134018879891609832974450700956746289872995174979008460830041934241544189517909366104038937930853344562720901474654632369242652928064405058354648338083178451190364375477340423492948119791624650663110356879417930437595084969117243315876146985350459430293799764678080301708089266684641374355819064913446569043516516207290439226770086558293164359613928723520961291800437039342059063669711528678288838165298471081089528685832099206606950305146859015020891521259954299804101503172625214008784120687996462539276453591309776667173758700513250452903270073476945769796059859831545230936967478503006561712842648940147348020105603366174210592363618289064224163221811733019176112989770526334830483712487148069489911760832981027637852059551980460881944678659380908762725897775415575070430708345576701884748835673442102613776909905522646716578440237834243523622328734024961067669046279899688178881954933030089379686193756859273698051215365003632608543563926804108126567310256039037674889087080069767036792911952544737370122031981458225387379007793708930243017775889174029938653951613193609651007086194008250599793239056566241350329048582289099661130522076215847191120050989973602500869511199693241818884648666494427406699135637314619045249176571093842249111273716985923804773698369422741876855415015566163217135017036407487317424012}
19808 141314200990094721845326186449498231513207229507685087962688029072904791: {138607,198010,237612,514618,613087,870892,1147066,1699618,1857346,2078265,2093818,2147191,2216816,2474125,2493918,2499487,2645026,2968950,3116866,3166880,3241132,3509626,3562740,3800256,3823546,3902191,4134967,4187212,4215586,4275288,4293946,4809699,5410087,5986807,6446887,6561727,6797096,6823065,7134847,7277936,7363591,7646733,7725946,8161927,8187678,8430316,8734018,8966266,9635191,10279618,10423447,10968465,10984327,11094897,11096287,11543407,11699696,12151785,12356026,12961904,13122106,13151705,13162158,13580986,13871887,13925865,13962946,14091991,14421607,14497018,14582142,14725666,14854256,14878018,15106426,15733591,15782046,16231976,16246306,16474241,16711038,16711565,16777018,17775916,18061185,18240172,18260973,18788150,18816706,19181527,19265264,19494237,19631212,19713607,19796777,20053878,20217549,20557132,20877847,21069346,21088591,21443386,21601065,21673422,21823927,21891706,22351953,22545780,22563106,22786618,23009986,23041136,23207425,23534630,23905447,24048832,24456621,24524287,24547665,24643618,25447687,25587905,25909293,25921278,26184176,26263591,26725809,27006316,27054936,27447106,27740866,27848910,27961018,28026669,28241556,28281110,28783591,29082967,29115025,29223561,29278906,29282191,29412957,29457198,29580487,29705504,29728265,29752972,29843985,30019997,30276296,30300346,30431865,30436803,30705486,31122412,31207976,31357533,31391266,31521985,31552567,31581849,31748191,31833584,32460656,32550946,32915887,33369465,33399052,33418692,33502238,33562306,33620900,33688591,33937332,34060833,34282786,34938030,35015425,35108973,35360506,35594096,35673918,35718946,35812782,35884447,36434626,36518238,36554150,36836121,37267232,37270137,37826382,37932346,38074618,38287906,38636665,38785018,38833612,39336991,39352186,39525753,39683777,39795991,39814385,39847618,40043358,40345080,40435567,40695106,40800513,40890247,40906618,40993185,41433487,41613991,41615357,41777337,41925636,42018510,42247389,42343208,42468950,42780247,42885710,43034752,43616397,43726064,43852525,43864980,44022607,44538505,44819744,44988847,45106618,45388215,45454018,45568492,45772927,46363998,46637287,46789312,47152447,47164733,47505965,47530018,47579767,47636109,47736826,47777262,47860340,48218818,48414096,48800456,48850927,49133932,49191822,49578316,49734925,49941101,50391796,50412226,50422212,50617018,50962740,51098191,51262567,51344647,51462852,51508591,51559208,51842746,51917191,52144001,52238572,52453666,52623030,52637976,52860226,52880781,53333818,53446206,54360256,54465858,54517505,54682618,54884386,54884887,54900513,55000429,55278367,55670047,56131232,56166446,56179785,56276297,56560186,56564697,56679991,56691110,56693818,57007158,57432408,57539185,57601447,57694018,57830191,57926865,57976136,58004109,58172585,58491586,58565613,58843852,58890536,59217723,59450510,59485306,59562367,59681910,59925104,60081991,60145786,60343618,60442781,61155288,61265300,61370697,61788656,61855546,61908991,62125207,62268991,62412487,62826577,63050097,63098146,63147636,63458993,63479527,63489346,63539841,63660704,63798033,64611459,64738591,64763741,64950316,65084191,65223153,65275208,65421006,65485065,65565007,65869585,66251853,66340546,66341901,66501617,66650767,66878105,66984226,67117516,67226385,67305466,67320007,67338925,67378190,67415742,68029332,68310367,68799699,69047022,69090991,69413191,69512238,69514797,69605647,69807102,69850736,69861247,70179127,70559266,70705785,71192386,71340612,71344430,71395257,71618292,71708144,71760826,71988280,72657367,72868817,73390449,73395706,73434609,73518360,73616407,73912327,74147767,74333986,74491430,74789287,75105905,75338265,75419504,75517306,75763591,76187321,76803233,76818466,77322967,77419852,77681986,77866207,77882150,77973991,78419584,78462989,78582078,78603706,78807585,78857305,78931087,79043502,79192807,79359518,79407561,79521826,79545292,80069191,80131906,80237780,80253726,80360816,80394710,80424007,80436346,80671662,80725327,80801146,80806710,80853828,80986815,80987300,81073591,81433373,81663532,81710626,82254586,82508812,82708155,82727918,82968041,83218426,83458591,83778127,84058426,84061424,84238018,84450967,84495247,84846942,84890527,84929300,84954946,85278424,85578847,85613316,85729018,85733265,85790167,85999687,86193824,86226717,86289991,86346830,86372287,86385936,87415927,87565049,87572167,87847208,87881191,87976186,88222032,88243694,88393516,88633591,88707247,89368286,89389716,89413761,89463247,89777577,89812087,89967226,89971585,90051991,90127086,90405918,90481516,90815407,90839746,90879991,90916185,91292767,91417327,91448816,91571407,91882018,91904047,92055226,92343586,92343607,92519630,92573986,92641665,92746618,93069385,93206266,93227191,93294957,93458580,93488191,93557165,93619841,93893818,93939847,94569102,94579066,94628766,94794991,94994216,95002310,95049772,95154847,95256727,95540150,95551567,95570647,95772706,95938227,96176527,96285336,96289612,96412875,96451618,96473652,96509167,96583687,96612991,96663585,96727327,96782767,96809453,96916327,96968052,96977264,97161847,97184178,97184760,97218727,97465666,97522207,97531207,97566487,97649647,97696087,97781191,97872991,98014687,98024191,98046367,98061991,98070991,98087191,98089207,98138818,98166621,98385465,98530426,98809666,98817776,98828109,98930905,99249786,99274233,99689152,99811618,99922881,...,1801165645555402644947984302842155173824858563110601517732355618621526804671513001584296234084468880239452664768518715350028678064817169359814716547928563205879050437440153341851559721010810511673218195874196178699194687687172746069035434558910393139347216102170524077930335138209669608808766425393734698617602798383458620070795024589274759109605039743777089111892179716257282861651359841868972549063582446375597332990105213129803109045277686437949578651033287790507400368377718546545508347523411926082632862354409044568515888146003977608356203655138101020710960313186410251604917687645935908064994936410532034814673343041373318192442368537151203810688877781507111002389960361797108499441400405267469321093939383534847853195956332569609010593392107477608489751894671704893665372104745786432881093317103235257360060883740438580837476181018326083352268617863321984025490512020968227460331320981124089487442627149963242381101576835075254937929323056669769818879508987231354957599157564503191422066698201736248767960791015206001734106637727190839007874485451128576607947942246946861323671112013144267250719396172100824938627337905634470354273885770958082503641581259213792407294290761115459766071927742207599143453969238533107244770845324396924200617392920597641552194372230380583241056499307421956887572105404514544915151459806369686510814282059020691340146429738842128200951391844781174764948958506358222829412697664111360427541899774794555198915557230716812893028252549508935992159137058007833852157262104032074221572201004033659978982655155138679379233132130845216662535163118473328043312524834233113483866436391612883766895242315050128449388534905297565268742657794427593399370566156234674162173680309126281570949800713378797190653279692707530278941740139308299762993313757452366774099158885088712327889767559664517733037151562740144701028319837414749461676051435119434809492762468512691245062901362316284276864049156058406896280016844081352211981948553863979392096607587531972507124767676785546563216010635239422179687436975994665535319126895656392627453675864973814220478025689145440699647017120452562133900026962061533728597370169853565274774310935658840155129837439746539420893085281441937700655559013088595504567293017433257247947706621634293028748148809910425457720288522531337281889931449706152254758937821013176181031994693808914680386964665000760638050769875679354905110215418654694089789747317846405451217754509842569263973410221022030158405049261315888545427433596336244832717599528764169484655789502245725568730722104234867641249471541456778089327970691322917017989071363144088846663123362605646062518365052827123253510163153920665364858283970074867660356751365285433493101037441601503569419849532268322932399545134069529290635288910547076823047505448912815345890206162189850965384058556512333630620104650555189367928817106055183047972187338081068511690563395364526663833761044907980927419790414476510629291012375899689858584849362025493572873433649491695783114323770786680076484960403751304266799539862728326972999741641110048703455971928567873764856640763373666910575478885707160547554134112815283122523349244825702525554611230976136018}
19809 141864626502017484739720656343568679175547734836915504998307056683900164: {297015,316816,356418,771927,1088615,1306338,1720599,1939714,2549427,2771020,2786019,3140727,3325224,3740877,3958600,3967539,4051415,4453425,4675299,4750320,4861698,4884919,5067008,5234015,5264439,5344110,5700384,5735319,5947459,6280818,6323379,6368194,6412932,6440919,8266786,8496370,8741434,9097420,9504079,9743159,10195644,10211267,10237234,10454627,10537895,10916904,11041927,11341666,11588919,11638051,12281517,12645474,12810611,12997474,13101027,13449399,13766447,13886359,14202979,14624620,14793196,15406787,15419427,15928978,16083826,16202380,16610591,16857106,17549544,17784839,18534039,18567820,18686338,19295111,19442856,19683159,19743237,20160994,20249359,20289970,20371479,20825986,20944419,21042728,21056698,21337859,21745527,21774418,21873213,21883367,22081618,22088499,22219895,22281384,22317027,22659639,22800215,22911154,23469671,23673069,24081580,24347964,24369459,24539015,24840439,24849274,25066557,25165527,25696415,25992316,26491759,26663874,26738504,26769539,26956732,27306979,27347479,27360258,27769906,27809399,27854386,27896479,28167778,28182225,28225059,28403074,28801420,28897896,29446818,29629127,29802604,30061040,30080817,30320399,30835698,31144834,31604019,32165079,32510133,32608828,32730220,32837559,33161087,33757895,33818670,33844659,34179927,34268146,34364434,34514979,34545724,34561704,35301945,35634412,36073248,36965427,37050307,37131880,37191215,37284847,37368892,37655408,37845370,38260306,38527459,38881917,38903015,38964748,39009970,39217276,39276264,39791980,40319759,40509474,40575820,40580831,40582404,40759351,40940648,41170659,41611299,41748815,41773365,41810044,41941527,42026125,42037666,42109132,42362334,42421665,42700399,43785047,43918359,44185797,44492620,44558256,44629458,45114307,45249776,45281266,45414444,45450519,45727186,46058229,46584040,46683618,46811964,47086899,47209426,47410679,47565224,47676071,47750376,48242851,48542015,48690984,48826419,48868787,48937594,49095119,49114828,49183927,49675834,49693516,50098578,50128038,50253357,50343459,50431350,50435176,50697439,50729119,50905998,51420611,51424179,51529219,52407045,52434466,52701004,52929010,53040759,53196466,53206999,53391144,53510877,53578419,53719173,53793440,54065074,54400684,54651939,54657580,54769234,54777357,54831225,55242407,55703116,55900848,56024680,56329852,56739573,56752819,56898519,56960615,57111927,57115807,57337967,57431859,57822778,58155196,58177527,58250418,58486640,59028279,59166418,59180767,59771427,59825425,60065037,60517620,60767794,61000570,61042659,61119394,61359927,61417415,61592519,61818664,61972895,62744626,62771314,62888454,62989745,63027765,63514812,63703016,63703425,64328565,64449010,64552128,65298215,65589096,65797470,65992066,66622018,66876739,67229616,67435351,67659927,67950320,68181027,68352738,68617136,68943874,69545997,69758746,70164040,70183968,70315714,70507708,71261608,71295027,71605239,71665893,71790510,71862199,72124786,72328227,72470170,72621144,72937786,73200684,73255327,73553746,73554815,73613170,73700898,73787733,74367474,74618621,74906380,75419596,75558706,75587694,75618339,75633318,75925527,76009544,76444110,76576544,76581625,76866307,77194278,77235820,77330074,77338812,77473199,77764119,77780599,78087484,78357858,78680499,78934545,78956964,79276327,79290339,79443839,79575880,79696114,80000727,80017714,80022946,80169309,80436247,81187895,81540384,81594010,81698787,81827596,81871186,82023927,82326579,83119939,83234338,83381447,83896895,84066796,84196848,84249669,84719788,84840279,84855106,85036665,85040727,85064044,85510737,85795666,86148612,86252807,86465554,86541027,86964204,87228008,87313420,87737379,87843394,88231039,88265778,88335804,88455868,88565407,88966426,89175765,89227959,89317811,89522865,89635180,89887656,89985350,90218679,90219346,90260818,90515427,90705776,91732932,91826434,91897950,92062696,92682984,92686396,92695759,92783319,93076136,93248578,93330767,94182127,94274380,94647219,94721454,94883986,95120816,95193676,95234019,95491056,95667559,96107074,96475906,96774815,97348498,97425474,97710466,97843039,97853932,97912812,98024480,98131509,99431615,99510819,99846754,...,2701748468333103967421976454263232760737287844665902276598533427932290207007269502376444351126703320359178997152778073025043017097225754039722074821892844808818575656160230012777339581516215767509827293811294268048792031530759119103553151838365589709020824153255786116895502707314504413213149638090602047926404197575187930106192536883912138664407559615665633667838269574385924292477039762803458823595373669563395999485157819694704663567916529656924367976549931685761100552566577819818262521285117889123949293531613566852773832219005966412534305482707151531066440469779615377407376531468903862097492404615798052222010014562059977288663552805726805716033316672260666503584940542695662749162100607901203981640909075302271779793934498854413515890088161216412734627842007557340498058157118679649321639975654852886040091325610657871256214271527489125028402926794982976038235768031452341190496981471686134231163940724944863571652365252612882406893984585004654728319263480847032436398736346754787133100047302604373151941186522809002601159956590786258511811728176692864911921913370420291985506668019716400876079094258151237407941006858451705531410828656437123755462371888820688610941436141673189649107891613311398715180953857799660867156267986595386300926089380896462328291558345570874861584748961132935331358158106771817372727189709554529766221423088531037010219644608263192301427087767171762147423437759537334244119046496167040641312849662191832798373335846075219339542378824263403988238705587011750778235893156048111332358301506050489968473982732708019068849698196267824993802744677709992064968787251349670225799654587419325650342863472575192674082802357946347903113986691641390099055849234352011243260520463689422356424701070068195785979919539061295418412610208962449644489970636178550161148738327633068491834651339496776599555727344110217051542479756122124192514077152679152214239143702769036867594352043474426415296073734087610344420025266122028317972922830795969088144911381297958760687151515178319844824015952859133269531155463991998302978690343484588941180513797460721330717038533718161049470525680678843200850040443092300592896055254780347912161466403488260232694756159619809131339627922162906550983338519632893256850939526149885871921559932451439543122223214865638186580432783797005922834897174559228382138406731519764271547992040713372020580446997501140957076154813519032357665323127982041134684620976769608176826631764763853895960115331533045237607573891973832818141150394504367249076399293146254226983684253368588353096083156352301461874207312185167133991956036984375526983607044716133269994685043908469093777547579240684880265244730880998047287425955112301490535127047928150239651556162402255354129774298402484398599317701104293935952933365820615234571258173369223018835309243284776448076087834768500445930156975832784051893225659082774571958281007121602767535845093046789995750641567361971391129685621714765943936518563849534787877274043038240359310150474237543674671485656180020114727440605626956400199309794092490459499612461665073055183957892851810647284961145060500365863218328560740821331201169222924683785023867238553788331916846464204027}
19810 142417180804516583085611254675737038074579534021048404608571656846553897: {277214,336481,396020,475224,534627,928861,1029236,1165309,1226174,1401469,1637341,1741784,1959507,1990609,2225761,2294132,2909571,2929489,3399236,3463775,3714692,4156530,4187636,4294382,4433632,4445341,4561441,4677469,4909309,4948250,4987836,4998974,5025121,5256529,5290052,5937900,6233732,6333760,6482264,6753661,6868321,7019252,7125480,7292547,7440541,7554769,7600512,7647092,7804382,8016165,8124829,8269934,8352349,8374424,8431172,8550576,8587892,9421227,9485629,9552291,9619398,9824209,10049569,10820174,11371775,11507389,11973614,12398461,12400179,12509521,12744555,12893774,13112151,13123454,13594192,13646130,14269694,14555872,14715601,14727182,15153361,15293466,15355851,15371809,15451892,16323854,16351261,16375356,16860632,17012499,17216989,17468036,17755729,17932532,18280775,18292669,18412387,18491495,18968211,19041361,19270382,19496211,19892689,20252975,20422429,20528161,20559236,20739409,20846894,21936930,21968654,22189794,22192574,22210081,22627681,22731901,23086814,23209775,23396191,23399392,23873569,23893467,24125739,24183421,24303570,24712052,25211581,25285659,25923808,25927009,26244212,26303410,26323187,26324316,26435869,27145249,27161972,27448189,27743774,27851101,27851730,27925892,28029507,28183982,28353121,28453309,28843214,28994036,29164284,29451229,29451332,29708512,29756036,30101975,30212852,30241491,30244381,30434955,31131169,31238979,31327441,31467182,31564092,31585047,32463952,32490395,32492612,32661627,32790301,32948482,33122427,33422076,33423130,33554036,33563869,33695915,33852769,34045009,34141021,34366731,35192401,35551832,35667421,35823067,36001775,36046141,36122370,36480344,36521946,36612061,36894049,37253255,37273911,37576300,37633412,37642849,37829329,38015521,38363054,38530528,38942161,38988474,39262424,39310801,39427214,39593554,39995811,40107756,40435098,40761035,40773841,40864669,40912775,41040387,41114264,41619571,41654859,41678881,41755694,41781579,42038881,42128701,42138692,42177182,42251667,42604611,42666109,42886772,42933841,43182155,43202130,43346844,43647854,43783412,44130779,44170227,44438749,44543015,44703906,45052369,45091560,45126212,45573236,46009501,46019972,46082272,46096081,46253547,46355389,46414850,46711115,46717251,47069260,47300641,47471569,47810894,48097664,48705935,48744349,48913242,49021595,49048574,49095330,49165009,49287236,49416541,49583869,49739975,50416189,50719775,50728005,50747101,50895374,51175810,51402219,51546651,51818586,51842556,52059229,52262555,52303201,52368352,52527182,52636415,53031229,53192221,53451618,53913121,54012632,54091331,54109872,54786301,54865249,54894212,55258909,55481732,55615775,55650769,55697820,55740139,55922036,56053338,56429089,56483112,56562220,56583889,56768055,56969629,57390459,57567182,57811921,58116049,58165934,58230050,58267681,58447122,58514955,58557812,58564382,58570081,58645501,58825914,58914396,59160974,59246269,59411008,59456530,59505944,59687970,59842429,60039994,60552592,60600692,60764211,60863730,60873606,60874621,61393535,61410972,61458109,62116895,62244824,62324701,62353907,62396449,62415952,62715066,62782532,63043970,63056499,63105134,63163698,63251809,63322621,63393361,63464029,63496382,63543501,63667168,63816289,64096801,64166749,64723741,64862269,64921312,65000507,65101892,65831774,65876255,65892049,66028129,66231709,66502141,66508351,66738930,66798104,66837384,66944187,67004476,67106401,67124612,67239889,67241800,67377182,67770961,67874664,67903009,67921899,68000855,68121666,68321975,68362909,68565572,68590779,68689249,69143101,69334331,69400861,69628895,69785341,69876060,70025427,70030850,70217939,70217946,70357201,70412315,70483489,70721012,70735201,70797949,70814139,71048221,71188192,71347836,71359441,71437892,71625564,71768894,71976481,72693995,72767869,72869252,73036476,73108300,73248829,73368349,73406391,73487581,73672242,73725181,74249591,74431069,74513751,74534464,74540274,74547709,74895901,75147867,75192057,75527521,75647025,75652764,75698269,75864692,75868369,76149236,76324507,76358997,76542289,76575812,76653601,77273330,77570036,77667224,77696701,77804989,78181729,78554941,78651699,78673982,78704372,78766621,79051506,79367554,79393515,79591982,79628770,79695236,79794699,80012509,80063521,80086716,80554859,80690160,80871134,81097611,81266209,81364561,81390212,81441619,81601026,81609181,81780494,81813236,81900349,81986370,82044961,82093021,82153851,82284541,82711249,82866974,82945789,83085649,83224861,83227982,83230714,83271121,83547169,83554674,83638609,83729761,83851272,83865949,84037020,84359761,84494778,84686416,84801121,84937900,84983459,85019101,85192189,85278301,85492321,85534909,85560494,85746769,85771420,86069504,86330401,86734167,86859709,86980129,87060049,87232794,87375627,87452128,87572509,87705050,87729960,87766369,87843409,88045214,88134635,88224289,88425227,88486621,88634941,88749627,88818721,88891729,89072989,89077010,89144989,89180881,89639488,89675809,89780029,89977694,90213236,90358369,90524509,90776430,90908036,91136984,91151691,91234141,91359421,91483549,91500855,91545854,91679091,91998241,92217419,92233249,92262301,92463649,92520529,92548861,92605309,92717341,92727996,92728987,92828221,93019489,93207229,93260221,93274574,93578624,93629347,93632975,93774301,93799249,93848929,93996241,94020541,94093009,94116939,94117021,94156971,94274495,94304894,94329466,94332681,94514209,94825681,94890589,95011930,95060036,95159534,95272218,95306749,95473652,95504029,95554524,95720680,95731261,95804701,96237601,96398161,96437636,96544775,96640081,96673515,96754129,96781921,96828192,96850141,96903421,96955549,96968401,97019089,97075967,97198909,97221661,97309789,97341649,97600912,97609355,97616221,97624609,97641169,97701854,97719649,97756189,97770301,97830241,97872829,97917181,97922401,97927549,97942561,97961569,97975069,97983709,98007901,98032849,98057041,98074429,98082781,98084689,98098621,98108701,98267864,98383644,98696205,98988099,99156632,99469850,99882202,99933027,...,3602331291110805289895968605684310347649717126221203035464711237243053609343026003168592468168937760478905329537037430700057356129634338719629433095857126411758100874880306683703119442021621023346436391748392357398389375374345492138070869117820786278694432204341048155860670276419339217617532850787469397235205596766917240141590049178549518219210079487554178223784359432514565723302719683737945098127164892751194665980210426259606218090555372875899157302066575581014800736755437093091016695046823852165265724708818089137031776292007955216712407310276202041421920626372820503209835375291871816129989872821064069629346686082746636384884737074302407621377755563014222004779920723594216998882800810534938642187878767069695706391912665139218021186784214955216979503789343409787330744209491572865762186634206470514720121767480877161674952362036652166704537235726643968050981024041936454920662641962248178974885254299926484762203153670150509875858646113339539637759017974462709915198315129006382844133396403472497535921582030412003468213275454381678015748970902257153215895884493893722647342224026288534501438792344201649877254675811268940708547771541916165007283162518427584814588581522230919532143855484415198286907938477066214489541690648793848401234785841195283104388744460761166482112998614843913775144210809029089830302919612739373021628564118041382680292859477684256401902783689562349529897917012716445658825395328222720855083799549589110397831114461433625786056505099017871984318274116015667704314524208064148443144402008067319957965310310277358758466264261690433325070326236946656086625049668466226967732872783225767533790484630100256898777069810595130537485315588855186798741132312469348324347360618252563141899601426757594381306559385415060557883480278616599525986627514904733548198317770177424655779535119329035466074303125480289402056639674829498923352102870238869618985524937025382490125802724632568553728098312116813792560033688162704423963897107727958784193215175063945014249535353571093126432021270478844359374873951989331070638253791312785254907351729947628440956051378290881399294034240905124267800053924123067457194740339707130549548621871317680310259674879493078841786170562883875401311118026177191009134586034866514495895413243268586057496297619820850915440577045062674563779862899412304509517875642026352362063989387617829360773929330001521276101539751358709810220430837309388179579494635692810902435509019685138527946820442044060316810098522631777090854867192672489665435199057528338969311579004491451137461444208469735282498943082913556178655941382645834035978142726288177693326246725211292125036730105654246507020326307841330729716567940149735320713502730570866986202074883203007138839699064536645864799090268139058581270577821094153646095010897825630691780412324379701930768117113024667261240209301110378735857634212110366095944374676162137023381126790729053327667522089815961854839580828953021258582024751799379717169698724050987145746867298983391566228647541573360152969920807502608533599079725456653945999483282220097406911943857135747529713281526747333821150957771414321095108268225630566245046698489651405051109222461952272036}
19811 142971872072557759277241576842990772256462859243503939529229610095516775: {415821,495025,594030,633632,712836,1286545,1524061,1543854,1839261,2177230,2612676,2867665,3441198,3879428,4249045,4643365,5003581,5098854,5234545,5542040,5572038,5671981,5715553,6234795,6281454,6441573,6612565,6650448,7327621,7422375,7481754,7498461,7792165,7917200,7935078,8043541,8102830,8774065,8906850,8911309,9350598,9500640,9558865,9723396,9769838,10134016,10212301,10415101,10468030,10528878,10538965,10688220,10734865,10889413,11400768,11470638,11706573,11894918,12067861,12404901,12561636,12646758,12736388,12825864,12881838,13179253,13244869,13767841,14429097,14437981,14753053,15139813,15386029,15840781,16230261,16533572,16612273,16808101,16992740,17482868,17756149,17960421,18001621,18194840,18208021,19008158,19314865,19340661,19486318,19685181,19877173,20391288,20422534,20469195,20474468,20909254,21075790,21404541,21833808,21835045,21885589,22083854,22090773,22316701,22415665,22469053,22683332,22803313,22940199,23177838,23276102,24470941,24485781,24563034,24614533,25088269,25290948,25621222,25699045,25862161,25994948,26202054,26898798,27532894,27676981,27772718,28405958,28905573,29249240,29586392,30061669,30813574,30838854,30890065,31081093,31107853,31270341,31857956,31920301,32167652,32197861,32404760,32411461,32480353,32805265,32905395,32952981,33221182,33284691,33288861,33714212,33952465,34305253,34354621,34630221,34778701,34907365,35016241,35099088,35569678,35810653,35811253,35974981,36242545,36455355,36814165,37068078,37135640,37195045,37372676,37766065,37807201,38590222,38885712,39366318,39455115,39486474,40321988,40323853,40498718,40579940,40615765,40742958,41198509,41615661,41651972,41723953,41777595,41888838,41942545,42085456,42113396,42275973,42479701,42675718,42845041,43264821,43379509,43491054,43548836,43554853,43746426,43766734,44163236,44176998,44439790,44562768,44634054,45319278,45600430,45732901,45822308,46939342,46970375,47041765,47200773,47261053,47346138,47415493,48022381,48163160,48434941,48695928,48738918,48936229,49078030,49292209,49299349,49422723,49680878,49698548,50001733,50133114,50134695,50331054,50680381,51392830,51850909,51984632,52067701,52673365,52983518,53327748,53477008,53539078,53608465,53913464,54183555,54464221,54613958,54694958,54720516,54729265,54782919,55248061,55539812,55618798,55708772,55792958,56335556,56364450,56407765,56450118,56806148,56966545,57343789,57429781,57524965,57544581,57602840,57645649,57754021,57792229,57795792,58448341,58482711,58836575,58893636,58953121,59140821,59258254,59390331,59605208,60122080,60134941,60161634,60640798,60652647,60769813,61598773,61609045,61671396,62025853,62289668,62633541,62871061,63208038,63265773,63650941,63680401,64330158,64803195,65020266,65217656,65286481,65460440,65471781,65630353,65675118,66322174,66671869,66994861,67055859,67515790,67637340,67689318,67937221,67958821,68359854,68536292,68617765,68728868,69029958,69091448,69123408,69352165,69622275,69902545,70244221,70603890,70702775,70886629,71268824,71716341,71815969,72146496,72149341,73197265,73369863,73572861,73642995,73930854,74082181,74100614,74193661,74263760,74382430,74569694,74737784,75310816,75512701,75690740,75750865,76343061,76520612,76763715,76772509,76775581,77054918,77727879,77763834,77806030,77929496,78019940,78434552,78451021,78478165,78552528,78790773,79583960,79708981,79744861,80108641,80177427,80639518,80730253,80966149,81018948,81151640,81161662,81164808,81377365,81518702,81803821,81881296,82202641,82341318,82443709,83222598,83389981,83497630,83546730,83620088,83755595,83883054,83905765,84052250,84075332,84080007,84218264,84724668,84732901,84843330,85400798,85706965,85984381,86089621,86350773,86587693,86762053,87240109,87248901,87323101,87345075,87570094,87670683,87836718,87846573,87865009,88185643,88238871,88371594,88401265,88741461,88790173,88985240,89116512,89184795,89258916,89297365,89327029,89531955,89744149,90059991,90228614,90460261,90499552,90562532,90828888,90901038,91086565,91295595,91310409,91385375,91417501,91454372,92116458,93168080,93191029,93367236,93623928,94072599,94173798,94418852,94565955,94657701,94745547,94821358,94830865,95007181,95130448,95178901,95186545,95244573,95352142,95500752,95719765,96485702,96962545,97084030,97134481,97381968,97652838,97737574,97875188,98190238,98229656,98367854,98378353,98380465,98747661,99313621,99351668,99387032,99619045,...,5403496936666207934843952908526465521474575689331804553197066855864580414014539004752888702253406640718357994305556146050086034194451508079444149643785689617637151312320460025554679163032431535019654587622588536097584063061518238207106303676731179418041648306511572233791005414629008826426299276181204095852808395150375860212385073767824277328815119231331267335676539148771848584954079525606917647190747339126791998970315639389409327135833059313848735953099863371522201105133155639636525042570235778247898587063227133705547664438011932825068610965414303062132880939559230754814753062937807724194984809231596104444020029124119954577327105611453611432066633344521333007169881085391325498324201215802407963281818150604543559587868997708827031780176322432825469255684015114680996116314237359298643279951309705772080182651221315742512428543054978250056805853589965952076471536062904682380993962943372268462327881449889727143304730505225764813787969170009309456638526961694064872797472693509574266200094605208746303882373045618005202319913181572517023623456353385729823843826740840583971013336039432801752158188516302474815882013716903411062821657312874247510924743777641377221882872283346379298215783226622797430361907715599321734312535973190772601852178761792924656583116691141749723169497922265870662716316213543634745454379419109059532442846177062074020439289216526384602854175534343524294846875519074668488238092992334081282625699324383665596746671692150438679084757648526807976477411174023501556471786312096222664716603012100979936947965465416038137699396392535649987605489355419984129937574502699340451599309174838651300685726945150385348165604715892695806227973383282780198111698468704022486521040927378844712849402140136391571959839078122590836825220417924899288979941272357100322297476655266136983669302678993553199111454688220434103084959512244248385028154305358304428478287405538073735188704086948852830592147468175220688840050532244056635945845661591938176289822762595917521374303030356639689648031905718266539062310927983996605957380686969177882361027594921442661434077067436322098941051361357686401700080886184601185792110509560695824322932806976520465389512319239618262679255844325813101966677039265786513701879052299771743843119864902879086244446429731276373160865567594011845669794349118456764276813463039528543095984081426744041160893995002281914152309627038064715330646255964082269369241953539216353653263529527707791920230663066090475215147783947665636282300789008734498152798586292508453967368506737176706192166312704602923748414624370334267983912073968751053967214089432266539989370087816938187555095158481369760530489461761996094574851910224602981070254095856300479303112324804510708259548596804968797198635402208587871905866731641230469142516346738446037670618486569552896152175669537000891860313951665568103786451318165549143916562014243205535071690186093579991501283134723942782259371243429531887873037127699069575754548086076480718620300948475087349342971312360040229454881211253912800398619588184980918999224923330146110367915785703621294569922290121000731726436657121481642662402338445849367570047734477107576663833692928408054}
19812 143528708512278038251183650987359012388692551637853463909434747247156152: {217811,376067,554428,672962,792040,891045,950448,1047227,1069254,1165427,1204811,1440947,1857722,2030027,2058472,2225987,2315781,2330618,2452348,2578211,2802938,2968811,3265845,3274682,3483568,3919014,3981218,4451522,4484507,4588264,4716611,4849285,5161797,5257067,5295611,5488211,5819142,5858978,6064811,6792587,6798472,6927550,7365107,7429384,7441307,7555547,7648281,7935827,8163611,8313060,8353211,8358057,8375272,8391107,8504747,8588764,8867264,8890682,9122882,9260507,9354938,9422181,9712427,9818618,9896500,9975672,9997948,10050242,10088147,10513058,10580104,10837187,11222631,11396867,11508587,11545811,11875800,11902617,12103211,12154245,12467464,12667520,12880547,12964528,13212611,13360275,13507322,13736642,13984907,14025897,14038504,14094947,14168267,14250960,14497811,14585094,14654757,14881082,15109538,15201024,15294184,15409811,15608764,15702045,15793317,15918347,15920485,16032330,16172027,16249658,16539868,16704698,16748848,16862344,17101152,17175784,17205957,17842377,17972627,18842454,18970137,18971258,18972227,19104582,19150067,19238796,19322757,19505147,19648418,19930187,20036267,20099138,20459867,20666965,21240925,21478811,21640348,21853585,22743550,22838507,23014778,23358227,23876147,23910611,23947228,24392267,24796922,24800358,25019042,25111811,25316747,25489110,25593085,25759787,25787548,25888093,26224302,26246908,26337107,26777027,26979611,27181907,27188384,27292260,27451187,27652811,27854147,28189067,28354165,28456427,28512237,28539388,28789907,28856507,29111744,29155811,29229477,29354987,29431202,29454364,29487611,30181787,30280667,30306722,30586932,30633801,30675467,30711702,30743618,30903784,31109221,31167347,31363881,31613685,31657427,32493685,32647708,32702522,32750712,32793947,32923211,33125781,33599747,33721264,33856547,34024998,34048811,34433978,34528211,34766757,34814987,34914153,34936072,35196347,35511458,35865064,36081707,36561550,36585338,36616187,36824774,36844551,36929507,36982990,37179587,37647107,37678211,37864667,37936422,38019827,38082722,38431833,38540764,38792627,38946587,38992422,39303081,39345947,39407267,39785378,39822445,39866147,40171067,40209565,40348197,40505950,40844858,40899611,41056322,41118472,41299341,41478818,41503211,41659077,41683667,41693788,41953811,42133547,42142765,42608937,43590611,43873860,43937308,44379588,44385148,44420162,44882627,45057611,45255362,45463802,45486553,46043747,46173628,46220361,46258281,46389587,46419550,46475867,46715845,46792382,46798784,47174281,47505611,47647811,47747138,47786934,47903267,48101507,48251478,48366842,48607140,49170827,49424104,49831773,50006867,50402485,50423162,50449811,50571318,50724925,51110387,51575507,51847616,51854018,51929627,52064965,52065467,52092611,52154557,52488424,52606820,52641745,52646374,52648632,52660787,52871738,52903211,53279027,53354517,53839811,53946227,54290498,54323944,54436045,54740267,54896378,54898211,55204045,55265627,55291811,55487548,55602117,55683611,55702202,55703460,55851784,56059014,56367964,56435987,56616587,56706242,56906618,57065449,57232811,57277885,57590147,57686428,57844427,57885333,57988072,58123211,58148507,58328568,58652747,58902458,58902664,59049477,59229711,59253611,59278547,59417024,59512072,59626811,59726027,60096947,60203950,60425704,60455017,60482982,60488762,60588707,60748077,60869910,61101611,61114437,61490027,61924547,62123185,62188811,62262338,62332547,62360221,62428211,62477958,62654882,62833257,62934364,63117947,63128184,63170094,63283427,63495611,63847811,64013577,64104947,64174907,64755107,64801307,64927904,64980790,64985224,65236581,65323254,65395561,65580602,65619639,65650101,65695811,65896964,65900507,65923211,66059267,66172427,66244854,66262811,66265497,66375611,66659685,66844152,66846260,66951081,67108072,67127738,67137347,67391830,67514747,67705538,67978917,68043611,68090018,68188309,68282042,68371811,68400645,68502587,68630233,68698211,68719907,68733462,68828267,69044387,69152147,69424765,69431387,69635965,70384802,70387547,70409013,70419445,70513811,70639787,70744547,70932611,71007685,71019207,71103664,71244611,71327507,71334842,71554811,71637227,71646134,72003550,72047387,72092282,72244740,72676811,72958547,72960688,73043892,73108377,73167577,73224122,73398107,73497467,73617045,73690981,73754867,73788098,74050187,74116009,74506510,74521317,74547822,74635427,74848211,75021587,75152600,75155987,75199671,75266824,75285698,75496581,75658658,75784307,76031042,76552811,76719707,76726108,76818781,76996427,77061056,77089245,77124947,77216507,77380811,77653211,77761667,77862085,77884322,77976948,78210467,78459611,78478873,78524848,78621602,78854428,78883067,78988211,79187108,79267187,79319267,79475277,79509611,79921547,79991622,80040827,80091827,80176667,80215512,80308617,80781611,80870196,81096707,81129707,81277811,81376187,81522070,81547682,81669587,81729338,81825550,81912107,81920937,81928211,81940573,82042437,82080774,82228528,82391747,82502627,82723211,82984837,83239142,83283227,83309718,83357762,83428197,83511388,83559347,83563158,83574611,83650811,83689437,83802611,83878211,83893307,83968667,84077762,84118787,84257402,84277384,84354364,84386987,84503334,84546675,84549611,84675177,85118387,85209222,85332218,85433867,85561811,85670365,85773544,85867682,85911085,85950949,86343347,86364310,86398211,86404260,86670611,86693688,86886227,86953187,86963653,87006611,87295708,87546827,87566824,87598811,87792611,87869627,87908027,87971867,88250387,88261558,88340454,88350707,88434181,88500227,88660907,88685507,88877498,88887381,88917611,89086030,89407812,89444027,89514611,89584907,89631611,89759387,90080267,90104738,90183120,90242451,90252424,90305627,90582827,90768467,90865811,90961197,90962507,91037267,91146472,91384427,91446611,91508507,91903811,92013107,92019002,92039944,92164544,92192162,92226757,92286947,92450147,92507094,92573387,92620427,92629811,92685947,92710778,92829700,93034787,93124667,93257987,93275627,93422230,93434502,93441611,93864611,93914027,93995747,94020107,94138520,94298987,94537811,94601282,94613425,94754267,94798211,94812057,94841867,94906811,94943138,94949747,94981513,95146307,95187611,95201197,95282867,95329907,95429387,95527067,95621788,95641907,95650765,95766467,95827547,95917667,95947307,95988467,96040811,96154811,96188387,96195328,96260147,96351947,96420587,96495237,96528611,96583787,96628211,96657467,96671987,96719867,96771611,96799427,96947267,96990347,97040987,97162547,97174307,97216811,97331387,97380611,97411427,97411870,97480453,97484027,97488698,97524925,97530399,97573811,97591547,97603211,97628987,97738211,97740707,97774811,97818587,97826484,97885787,97893611,97946507,97956611,97972811,97994147,98035811,98043190,98046467,98053211,98059667,98062787,98068811,98077307,98093867,98094611,98097148,98098907,98102267,98118227,98124347,98127611,98128307,98190660,98330018,98512677,98574472,98577241,98833082,99167738,99479950,99483261,...,8105245404999311902265929362789698282211863533997706829795600283796870621021808507129333053380109961077536991458334219075129051291677262119166224465678534426455726968480690038332018744548647302529481881433882804146376094592277357310659455515096769127062472459767358350686508121943513239639448914271806143779212592725563790318577610651736415993222678846996901003514808723157772877431119288410376470786121008690187998455473459084113990703749588970773103929649795057283301657699733459454787563855353667371847880594840700558321496657017899237602916448121454593199321409338846132222129594406711586292477213847394156666030043686179931865990658417180417148099950016781999510754821628086988247486301823703611944922727225906815339381803496563240547670264483649238203883526022672021494174471356038947964919926964558658120273976831973613768642814582467375085208780384948928114707304094357023571490944415058402693491822174834590714957095757838647220681953755013964184957790442541097309196209040264361399300141907813119455823559568427007803479869772358775535435184530078594735765740111260875956520004059149202628237282774453712223823020575355116594232485969311371266387115666462065832824308425019568947323674839934196145542861573398982601468803959786158902778268142689386984874675036712624584754246883398805994074474320315452118181569128663589298664269265593111030658933824789576904281263301515286442270313278612002732357139488501121923938548986575498395120007538225658018627136472790211964716116761035252334707679468144333997074904518151469905421948198124057206549094588803474981408234033129976194906361754049010677398963762257976951028590417725578022248407073839043709341960074924170297167547703056033729781561391068267069274103210204587357939758617183886255237830626887348933469911908535650483446214982899205475503954018490329798667182032330651154627439268366372577542231458037456642717431108307110602783056130423279245888221202262831033260075798366084953918768492387907264434734143893876282061454545534959534472047858577399808593466391975994908936071030453766823541541392382163992151115601154483148411577042036529602550121329276901778688165764341043736484399210464780698084268478859427394018883766488719652950015558898679770552818578449657615764679797354318629366669644596914559741298351391017768504691523677685146415220194559292814643976122140116061741340992503422871228464440557097072995969383946123404053862930308824530479895294291561687880345994599135712822721675921498454423451183513101747229197879438762680951052760105765059288249469056904385622621936555501401975868110953126580950821134148399809984055131725407281332642737722054640795734192642994141862277865336904471605381143784450718954668487206766062389322895207453195797953103312881807858800097461845703713774520107669056505927729854329344228263504305501337790470927498352155679676977248323715874843021364808302607535279140369987251924702085914173389056865144297831809555691548604363631822129114721077930451422712631024014456968540060344182321816880869200597929382277471378498837384995219165551873678555431941854883435181501097589654985682222463993603507668774051355071601715661364995750539392612081}
19813 144087698361103742257325526681924754267514475133091276029819528647289008: {19813,693035,831642,990050,1009443,1188060,1267264,1425672,1603881,1801163,2573090,2786583,3048122,3065435,3087708,3495927,3678522,4014731,4204407,4354460,4912023,5225352,5735330,5878521,5913323,5948663,5971827,6387971,6500711,6677283,6882396,7328363,7758856,8498090,8728713,8788467,9257591,9286730,9346007,9506003,10007162,10197708,10391325,10469090,10531547,10735955,10909031,11084080,11144076,11343962,11431106,11640407,12069083,12283691,12370625,12428411,12469590,12497435,12562908,12883146,13225130,13300896,13336023,13382411,13684323,14032407,14088167,14439443,14655242,14727927,14754551,14844750,14963508,14996922,15028811,15075363,15387587,15584330,15653027,15769587,15834400,15870156,16087082,16136567,16205660,16809803,17548130,17757947,17813700,17822618,18701196,18720923,18980711,19001280,19117730,19446792,19510955,19539676,20260983,20268032,20424602,20604963,20674835,20830202,20936060,21057756,21077930,21274643,21376440,21469730,21778826,21877641,22318967,22321623,22664307,22801536,22941276,23413146,23789836,24048495,24135722,24374487,24809802,25057047,25112471,25123272,25293516,25472776,25651728,25763676,25864787,26312087,26358506,26374283,26479931,26489738,27022691,27040811,27050435,27535682,28263681,28456887,28656873,28858194,28875962,28920203,29472627,29506106,29934035,30148707,30279626,30569063,30772058,31381931,31681562,32234435,32460522,32483651,32808635,33067144,33104843,33224546,33616202,33985480,34115325,34522167,34965736,35512298,35527427,35674235,35920842,35978663,36003242,36301571,36389680,36416042,36475223,36480011,36817955,37195383,37200537,37528563,38016316,38233665,38310131,38629730,38681322,38972636,39336453,39370362,39754346,40023671,40782576,40809635,40845068,40938390,40948936,41629907,41818508,42151580,42255107,42809082,42910967,43042211,43246091,43667616,43670090,43771178,44146803,44167708,44181546,44601467,44633402,44831330,44935043,44938106,45366664,45460083,45606626,45880398,45927371,46067553,46115427,46355676,46552204,46638503,47533451,48175955,48689147,48858611,48870311,48941882,48971562,49053783,49126068,49229066,49340267,50176538,50203283,50581896,50685527,50739563,51037497,51242444,51398090,51539831,51650967,51696707,51724322,51989896,52073063,52117235,52404108,52872491,53267187,53797596,54842325,54878007,54921635,55065788,55237161,55353962,55379531,55474485,55481435,55545436,56753723,56811916,56862071,56904633,57124083,57574331,57717035,57811146,58221911,58262867,58488633,58498480,58719563,58787147,58959107,59172784,59678067,60123338,60141047,60758925,61267287,61278347,61584483,61621211,61627148,61677708,61780130,61828883,62032151,62162186,62215706,62218227,62540682,63686867,63715912,63840602,64317443,64335304,64395722,64809520,64822922,64829291,64960706,65293163,65610530,65758525,65810790,65858471,65905962,66296651,66442364,66569382,66577722,66630243,67100627,67428424,67883043,67904930,68195703,68299907,68610506,68709242,69260442,69359435,69557402,69629325,69814730,70032482,70188573,70198176,70262903,70459955,70893911,71139287,71139356,71620707,71621306,71622506,71680401,71949962,72108035,72377217,72485090,72550263,72910710,73097831,73351571,73628330,73742711,74136156,74271280,74302163,74390090,74745352,75051851,75319187,75532130,75614402,75634743,75856977,76169003,76620971,77180444,77771424,77781027,77822711,78508247,78667955,78732636,78794027,78910230,78969561,78970871,78972948,79307607,79717187,79753163,80289443,80534951,80643976,80647706,80974487,80997436,81159880,81231530,81435747,81485916,81632267,82344567,82371205,82397018,82404347,82922327,83231322,83303944,83447906,83553303,83555190,83557825,83775107,83777676,83885090,84088521,84170912,84226792,84551946,84766067,84959402,85059363,85238411,85267403,85351436,85359927,85690082,86252663,86529642,86759018,86982108,86991083,87097672,87109706,87492852,87533468,88326472,88353687,88353996,88879580,89125536,89242283,89268108,89533187,89753411,90305925,90638556,90724473,90731147,90733143,91200860,91304865,91465802,91644616,92151107,92714843,93200567,93393507,93716937,93878684,93940750,93982323,94083530,94201523,94401546,94522106,94692276,94755141,94830986,95687267,95907635,96044762,96064871,96326320,96677243,96869882,97093031,97391856,97471185,97477836,97596407,97863563,97872458,97984881,98156060,98370903,98568035,98584418,98598698,98845446,98983885,99361756,99367281,99397096,...,10806993873332415869687905817052931042949151378663609106394133711729160828029078009505777404506813281436715988611112292100172068388903016158888299287571379235274302624640920051109358326064863070039309175245177072195168126123036476414212607353462358836083296613023144467582010829258017652852598552362408191705616790300751720424770147535648554657630238462662534671353078297543697169908159051213835294381494678253583997940631278778818654271666118627697471906199726743044402210266311279273050085140471556495797174126454267411095328876023865650137221930828606124265761879118461509629506125875615448389969618463192208888040058248239909154654211222907222864133266689042666014339762170782650996648402431604815926563636301209087119175737995417654063560352644865650938511368030229361992232628474718597286559902619411544160365302442631485024857086109956500113611707179931904152943072125809364761987925886744536924655762899779454286609461010451529627575938340018618913277053923388129745594945387019148532400189210417492607764746091236010404639826363145034047246912706771459647687653481681167942026672078865603504316377032604949631764027433806822125643314625748495021849487555282754443765744566692758596431566453245594860723815431198643468625071946381545203704357523585849313166233382283499446338995844531741325432632427087269490908758838218119064885692354124148040878578433052769205708351068687048589693751038149336976476185984668162565251398648767331193493343384300877358169515297053615952954822348047003112943572624192445329433206024201959873895930930832076275398792785071299975210978710839968259875149005398680903198618349677302601371453890300770696331209431785391612455946766565560396223396937408044973042081854757689425698804280272783143919678156245181673650440835849798577959882544714200644594953310532273967338605357987106398222909376440868206169919024488496770056308610716608856956574811076147470377408173897705661184294936350441377680101064488113271891691323183876352579645525191835042748606060713279379296063811436533078124621855967993211914761373938355764722055189842885322868154134872644197882102722715372803400161772369202371584221019121391648645865613953040930779024638479236525358511688651626203933354078531573027403758104599543487686239729805758172488892859462552746321731135188023691339588698236913528553626926079057086191968162853488082321787990004563828304619254076129430661292511928164538738483907078432707306527059055415583840461326132180950430295567895331272564601578017468996305597172585016907934737013474353412384332625409205847496829248740668535967824147937502107934428178864533079978740175633876375110190316962739521060978923523992189149703820449205962140508191712600958606224649609021416519097193609937594397270804417175743811733463282460938285032693476892075341236973139105792304351339074001783720627903331136207572902636331098287833124028486411070143380372187159983002566269447885564518742486859063775746074255398139151509096172152961437240601896950174698685942624720080458909762422507825600797239176369961837998449846660292220735831571407242589139844580242001463452873314242963285324804676891698735140095468954215153327667385856816108}
19814 144648849887868949267510555392192810420702547028014139007012479661134270: {257413,435622,731749,752134,1108856,1204933,1247463,1345924,1485075,1584080,1782090,1900896,1912549,2094454,2138508,2330854,2409622,2500249,2881894,3715444,3859635,4060054,4116944,4136233,4451974,4572183,4631562,4661236,4904696,5156422,5296153,5443075,5517783,5527273,5605876,5937622,5988649,6103813,6448873,6531690,6549364,6563749,6788999,6967136,7137049,7251493,7708549,7838028,7962436,8391973,8602995,8903044,8969014,9176528,9433222,9698570,10323594,10426693,10514134,10539049,10591222,10976422,11099749,11547013,11638284,11658649,11717956,12104473,12129622,12747135,12881893,13585174,13596944,13855100,13876249,13930095,13986373,14730214,14858768,14882614,15010743,15111094,15296562,15703635,15871654,16327222,16626120,16706422,16716114,16750544,16782214,17009494,17015943,17146659,17177528,17734528,17781364,18245764,18521014,18704385,18709876,18844362,19187653,19324719,19424854,19637236,19793000,19837695,19951344,19995896,20100484,20176294,20257075,20989993,21026116,21160208,21516133,21674374,21982863,22267125,22288679,22445262,22495383,22793734,22875673,23017174,23091622,23376495,23751600,23805234,23913193,24016549,24130623,24206422,24308490,24424595,24429253,24934928,25335040,25455973,25761094,25929056,26170075,26322195,26425222,26577049,26720550,26733927,27014644,27473284,27969814,28051794,28077008,28189894,28336534,28501920,28676595,28933751,28995622,29092549,29170188,29309514,29737295,29762164,30219076,30402048,30588368,30595019,30636903,30678853,30819622,31217528,31245303,31404090,31586634,31616895,31660933,31836694,31840970,32064660,32204595,32344054,32441413,32499316,32668239,33079736,33409396,33497696,33724688,34202304,34351568,34411914,34563973,34850713,35119719,35422249,35684754,35830319,35945254,36203583,36463333,36765443,37214703,37682473,37684908,37940274,37942516,37944454,38209164,38300134,38477592,38645514,39010294,39296836,39537759,39695831,39734607,39860374,40072534,40198276,40919734,40995049,41303523,41333930,41357353,41538073,42347749,42481850,42884293,42957622,43280696,43287291,43313943,43595653,43707170,44126149,44259159,45419439,45441049,45487100,45491159,45677014,45875749,46029556,46158087,46308649,46716454,47169049,47520395,47522343,47681833,47752294,47821222,47894456,48107173,48361513,48690783,48715795,48784534,48868249,49593844,49600716,49836819,50038084,50040553,50223622,50424303,50633494,50978220,51056335,51186170,51363049,51519574,51575096,51776186,52098853,52273135,52448604,52493816,52667113,52674214,52689475,52909573,53268447,53554054,53872933,53881263,53959222,54004863,54363814,54376768,54584520,54624063,54902374,55209635,55298533,55305622,55708294,55751423,56235973,56293391,56378134,56708330,56912854,57024474,57078776,57579814,57622693,57699049,57713014,57944595,58021983,58155673,58190255,58223488,58311622,58458954,58709974,58760473,58862404,58908728,58975222,58999871,59055543,59285893,59631519,59956249,60363574,60561334,60613444,61133593,61173864,61267602,61350934,61407585,61423404,61487236,61787749,61807568,62148649,62218442,62334694,62727762,63227370,63314854,63574249,64053055,64213623,64987370,65040133,65295416,65402183,65405044,65501424,65505135,65587894,65656767,65846422,65931673,66251562,66272319,66406693,66950103,67199494,67246995,67407159,67412713,67442528,67713094,68049996,68074393,68097622,68271493,68409939,68728873,68820597,68832235,68867956,68988649,69056422,69348367,69431795,69533514,69629974,69828306,69872144,69952549,70206853,70392694,70563479,71014895,71022916,71274793,71730128,71893273,72077413,72163414,72382873,72890951,73123100,73170676,73232374,73412823,73457343,73649548,73689102,73698443,73843599,73859014,73942249,73965980,74001253,74359174,74819749,75051013,75264807,75294214,75356422,75729334,75872844,76039654,76165444,76210463,76748773,76863666,77033935,77081528,77097135,77285663,77585254,77586483,77893174,77898649,77952613,77984844,78606162,78691894,78814534,78911653,79278313,79570756,79644890,79732294,79949893,80189039,80342134,80419130,80696394,80809753,81011900,81689716,81697513,81799222,81939973,82112644,82236944,82598682,82938649,82957636,83006422,83030943,83052955,83318154,83367334,83387576,83586793,83814853,83905573,83907622,84267094,84285530,84532549,84753049,84971749,85000663,85145413,85217874,85403749,85659493,85828549,86716719,86859049,86972459,87181222,87455749,87591647,87747720,87874616,88376773,88748293,88759176,88770296,88840324,88924195,89148649,89469733,89645593,89765254,90026149,90115222,90185007,90510724,90695749,90891013,90927604,90973106,91019749,91336549,91828453,92087494,92347256,92440722,92516562,92531749,92644933,92670195,92701093,92747759,92779174,92839100,92840233,92951734,93243279,93323559,93352549,93431690,93457093,93584764,93597568,93811023,94011493,94228249,94322713,94348562,94485253,95011222,95295622,95306053,95445913,95494276,95524249,95573868,95601433,95620549,95760903,95806534,95807749,95970073,96057733,96203014,96244249,96342313,96475555,96502956,96545893,96593583,96733684,96765673,96838859,96969253,97095619,97180393,97194671,97214280,97234383,97402153,97441059,97482793,97490351,97502233,97540249,97577113,97586149,97630249,97759273,97823749,97984711,97991833,98019049,98114053,98148073,98148649,98341654,98415795,98587223,98716185,98848208,98858943,99410759,99663546,99854073,99866583,...,16210490809998623804531858725579396564423727067995413659591200567593741242043617014258666106760219922155073982916668438150258102583354524238332448931357068852911453936961380076664037489097294605058963762867765608292752189184554714621318911030193538254124944919534716701373016243887026479278897828543612287558425185451127580637155221303472831986445357693993802007029617446315545754862238576820752941572242017380375996910946918168227981407499177941546207859299590114566603315399466918909575127710707334743695761189681401116642993314035798475205832896242909186398642818677692264444259188813423172584954427694788313332060087372359863731981316834360834296199900033563999021509643256173976494972603647407223889845454451813630678763606993126481095340528967298476407767052045344042988348942712077895929839853929117316240547953663947227537285629164934750170417560769897856229414608188714047142981888830116805386983644349669181429914191515677294441363907510027928369915580885082194618392418080528722798600283815626238911647119136854015606959739544717551070870369060157189471531480222521751913040008118298405256474565548907424447646041150710233188464971938622742532774231332924131665648616850039137894647349679868392291085723146797965202937607919572317805556536285378773969749350073425249169508493766797611988148948640630904236363138257327178597328538531186222061317867649579153808562526603030572884540626557224005464714278977002243847877097973150996790240015076451316037254272945580423929432233522070504669415358936288667994149809036302939810843896396248114413098189177606949962816468066259952389812723508098021354797927524515953902057180835451156044496814147678087418683920149848340594335095406112067459563122782136534138548206420409174715879517234367772510475661253774697866939823817071300966892429965798410951007908036980659597334364064661302309254878536732745155084462916074913285434862216614221205566112260846558491776442404525662066520151596732169907837536984775814528869468287787752564122909091069919068944095717154799617186932783951989817872142060907533647083082784764327984302231202308966296823154084073059205100242658553803557376331528682087472968798420929561396168536957718854788037767532977439305900031117797359541105637156899315231529359594708637258733339289193829119482596702782035537009383047355370292830440389118585629287952244280232123482681985006845742456928881114194145991938767892246808107725860617649060959790588583123375760691989198271425645443351842996908846902367026203494458395758877525361902105520211530118576498938113808771245243873111002803951736221906253161901642268296799619968110263450814562665285475444109281591468385285988283724555730673808943210762287568901437909336974413532124778645790414906391595906206625763615717600194923691407427549040215338113011855459708658688456527008611002675580941854996704311359353954496647431749686042729616605215070558280739974503849404171828346778113730288595663619111383097208727263644258229442155860902845425262048028913937080120688364643633761738401195858764554942756997674769990438331103747357110863883709766870363002195179309971364444927987207015337548102710143203431322729991501078785224162}
19815 145212171392934396677706069052106615939250159997695070305440999937242360: {39626,653433,970249,1128201,1386070,1663284,1682405,1980100,2018886,2376120,2394953,2534528,2673135,2851344,3141681,3207762,3496281,3602326,3614433,4291609,4322841,4644305,5146180,5573166,5826545,6090081,6096244,6130870,6175416,6677961,6947343,6991854,7007345,7139497,7357044,7734633,8029462,8186705,8408814,8708920,8906433,8913113,9797535,9824046,9953045,10450704,11045281,11128805,11470660,11514833,11757042,11826646,11897326,11943654,12775942,13001422,13181921,13354566,13453521,13764792,13890577,14149833,14547855,14647445,14656726,15030337,15485391,15517712,15771201,15781049,15886833,16138201,16464633,16996180,17318875,17457426,17496409,17576934,18194433,18515182,18573460,18625193,18692014,18982633,19012006,19798217,20014324,20377761,20395416,20782650,20938180,21063094,21471910,21818062,22095321,22168160,22226705,22288152,22323921,22666641,22687924,22807205,22862212,22944843,23183369,23280814,23387345,23807481,23810489,24061841,24138166,24490833,24546545,24567382,24741250,24856822,24939180,24994870,25059633,25074171,25125605,25125816,25173321,25514241,25766292,26282645,26376961,26450260,26601792,26672046,26764822,26904257,27315337,27368646,27781521,28064814,28176334,28266543,28878886,28944769,29137281,29310484,29455854,29509102,29595217,29689500,29819717,29927016,29993844,30057622,30150726,30264441,30775174,31168660,31306054,31539174,31668800,31740312,32174164,32273134,32411320,32511561,33619606,33667893,33752897,33768305,33819749,34190601,34341605,34525761,34637433,35096260,35515894,35627400,35645236,35707851,36305257,36309633,36462735,37202705,37402392,37441846,37624481,37773845,37870609,37961422,38002560,38013929,38235460,38641641,38893584,39021910,39079352,39637833,40080825,40521966,40536064,40624145,40771777,40849204,40952209,41209926,41349670,41660404,41761745,41872120,41907649,41954721,42077691,42115512,42155860,42284841,42504801,42549286,42752880,42939460,43493433,43557652,43755282,43964271,44501269,44637934,44643246,45128209,45328614,45603072,45790469,45882552,45932089,46229433,46826292,47106135,47379951,47428145,47579672,47755041,47761455,48096990,48271444,48516081,48748974,48883769,49121045,49198981,49619604,49943929,50114094,50160473,50224942,50246544,50247845,50587032,50712961,50837957,50945552,51303456,51527352,51545137,51617871,51729574,52624174,52717012,52748566,52959862,52979476,53527131,53917881,53985833,54045382,54081622,54100870,54653057,55071364,55362581,56527362,56532113,56858875,56910411,56913774,56916681,57133489,57313746,57450201,57536945,57580177,57716388,57751924,57840406,57968271,58515441,58945254,59012212,59198809,59238593,59790561,59868070,60108801,60297414,60559252,61138126,61379601,61544116,61835161,61992305,62000895,62547605,62763862,62841433,63363124,63722775,64436433,64468870,64921044,64967302,65560755,65617270,65728889,66134288,66209686,66449092,67232404,67446337,67970960,68230650,68515521,68565257,68807713,69044334,69931472,70074681,70635109,71024596,71054854,71348470,71628441,71731833,71841684,71884201,71957326,72006484,72603142,72779360,72832084,72950446,72960022,72964129,73176801,73578005,73635910,74096257,74267369,74390766,74401074,75057126,75335433,75524489,75766805,75950241,76032632,76467330,76620262,76779255,76859045,76890289,77259460,77279361,77362644,77664279,77674009,77945272,78672906,78740724,79011321,79300741,79468217,79508692,80047342,80331081,80460769,80803849,80938833,81545721,81565152,81619270,81690136,81756305,81820673,81876780,81897872,82353561,82958433,83259814,83562441,83637016,83783713,84303160,84510214,84567201,85062495,85369281,85374629,85536711,85586633,85618164,85821934,86084422,86084945,86369721,86492182,86569521,87335232,87340180,87467433,87542356,87639493,87688431,88064961,88293606,88335416,88348009,88363092,88462833,88778645,89202934,89266804,89662660,89870086,89876212,90545361,90733328,90842001,90920166,91089413,91213252,91403875,91463345,91760796,91847393,91854742,91901403,92026401,92061935,92135106,92230854,92457475,92711352,93104408,93277006,93327663,93502041,94091643,94211221,94841055,94972281,95066902,95206805,95697121,96351910,97103209,97378294,97481055,97717222,97740622,97883764,97943124,98107566,98252136,98381841,98458132,98643937,98680534,98769633,98875169,99377343,99463445,...,24315736214997935706797788088369094846635590601993120489386800851390611863065425521387999160140329883232610974375002657225387153875031786357498673397035603279367180905442070114996056233645941907588445644301648412439128283776832071931978366545290307381187417379302075052059524365830539718918346742815418431337637778176691370955732831955209247979668036540990703010544426169473318632293357865231129412358363026070563995366420377252341972111248766912319311788949385171849904973099200378364362691566061002115543641784522101674964489971053697712808749344364363779597964228016538396666388783220134758877431641542182469998090131058539795597971975251541251444299850050345998532264464884260964742458905471110835834768181677720446018145410489689721643010793450947714611650578068016064482523414068116843894759780893675974360821930495920841305928443747402125255626341154846784344121912283071070714472833245175208080475466524503772144871287273515941662045861265041892554873371327623291927588627120793084197900425723439358367470678705281023410439609317076326606305553590235784207297220333782627869560012177447607884711848323361136671469061726065349782697457907934113799161346999386197498472925275058706841971024519802588436628584720196947804406411879358476708334804428068160954624025110137873754262740650196417982223422960946356354544707385990767895992807796779333091976801474368730712843789904545859326810939835836008197071418465503365771815646959726495185360022614676974055881409418370635894148350283105757004123038404433001991224713554454409716265844594372171619647283766410424944224702099389928584719085262147032032196891286773930853085771253176734066745221221517131128025880224772510891502643109168101189344684173204801207822309630613762073819275851551658765713491880662046800409735725606951450338644948697616426511862055470989396001546096991953463882317805099117732626694374112369928152293324921331808349168391269837737664663606788493099780227395098254861756305477163721793304202431681628846184363636604878603416143575732199425780399175927984726808213091361300470624624177146491976453346803463449445234731126109588807650363987830705336064497293023131209453197631394342094252805436578282182056651299466158958850046676696039311658455735348972847294039392062955888100008933790743679223895054173053305514074571033055439245660583677878443931928366420348185224022977510268613685393321671291218987908151838370212161588790926473591439685882874685063641037983797407138468165027764495363270353550539305241687593638316288042853158280317295177864748407170713156867865809666504205927604332859379742852463402445199429952165395176221843997928213166163922387202577928982425586833596010713414816143431353352156864005461620298187167968685622359587393859309938645423576400292385537111141323560323007169517783189562988032684790512916504013371412782495056467039030931744971147624529064094424907822605837421109961755774106257742520167170595432893495428667074645813090895466387344163233791354268137893072043370905620181032546965450642607601793788146832414135496512154985657496655621035666295825564650305544503292768964957046667391980810523006322154065214805146984094987251618177836243}
19816 145777671208306831965715844562214577089165402091612762021011330833632941: {59439,455239,514826,871244,1047439,1463498,1504268,1755703,2079105,2108863,2217712,2409866,2475125,2494926,2691848,2970150,3028329,3168160,3564180,3801792,3825098,4188908,4277016,4562839,4661708,4678903,4811643,4819244,5000498,5026663,5142439,5403489,5763788,6432725,6755743,6870439,6985063,7430888,7442839,7557103,7620305,7719270,8120108,8233888,8272466,8359749,8582239,8903948,9144366,9196305,9263124,9322472,9809392,10312844,10487781,10592306,10727263,10886150,11035566,11054546,11211752,11875244,11977298,12044193,12207626,12513439,12613221,12624463,12897746,12957103,13063380,13098728,13127498,13577998,13934272,14171239,14274098,14338325,14502986,14736069,15417098,15676056,15924872,16247863,16783946,17205990,17635563,17739969,17806088,17845989,17868943,17915481,17938028,18353056,18405703,18866444,19047439,19154143,19163913,19397140,19502133,20031849,20534743,20640439,20647188,20853386,21028268,21078098,21182444,21245225,21952844,21985089,22199498,22739239,22843423,23094026,23216825,23276568,23317298,23435912,23674303,24208946,24259244,25017905,25322239,25494270,25763786,26172725,26186139,26365401,27170348,27193888,27255223,27710200,27752498,27772773,27860190,27972746,28038021,28359905,28462663,28518009,28577765,28862839,29460428,29717536,29765228,30021486,30222188,30254383,30593124,30747943,31173975,31407270,31594641,31743308,32207865,32654444,32727093,33062825,33252240,33412844,33432228,33501088,33564428,33671503,34018988,34031886,34152463,34194433,34248439,34293318,34355056,34921221,35299423,35469056,35562728,36058303,36207249,36491528,36638105,36718543,36851073,37000423,37042028,37111875,37285233,37408770,37419752,37492305,37688724,38375306,38649438,38849708,38863063,38960825,39274472,39324223,39416239,39586000,39675390,39902688,39991792,40008069,40147233,40200968,40217705,40241143,40352588,40514150,40681289,40787839,40878703,41052969,41632213,41783383,41979986,42052232,42097221,42143239,42264501,42320416,43032266,43318329,43348748,43450069,43870325,43965726,44183781,44263653,44534250,44556545,44577358,44890524,44893063,44990766,45086433,45226089,45242839,45587468,45591463,45751346,46034348,46112239,46162761,46183244,46198783,46752990,46959081,47308761,47488303,47503200,47610468,47794325,47826386,48033098,48169423,48261246,48409701,48412844,48616980,48761623,48849190,48858506,49434103,49869856,50429409,50670080,50911946,51061505,51522188,51858112,52075505,52340150,52644390,52694825,52727383,52850444,53154098,53273841,53291863,53441100,53467854,53674325,54029288,54447065,54806239,54885223,54946568,55671103,55939628,56103588,56154016,56162769,56379788,56673068,56681983,56942133,57003840,57353190,57867502,57991244,58185098,58289239,58340376,58532865,58619028,58667239,59343103,59474590,59524328,59864743,60339305,60438152,60782949,60804096,61176736,61190038,61273806,61357706,61639244,61814889,62024505,62420023,62435056,62490606,62808180,63173268,63233790,63321866,63346663,63417439,63488143,63673388,63681940,63823929,63840583,64129320,64191223,64409190,64688108,64817839,64882826,64998632,65336478,65632923,65896265,66159472,66224345,66528553,66595303,66818792,66956901,66964869,66995392,67265983,67449376,67532239,67992921,68202113,68404608,68455063,68703136,68823828,68839205,69105583,69127946,69428143,69701426,69812839,70239438,70448239,70826023,70844498,71369508,71387839,71478869,71660638,71890508,72066583,72145485,72189905,72407166,72857503,72926666,73123461,73182389,73278343,73457623,73530886,73765265,73814239,74109439,74131013,74429406,75041983,75171141,75337413,75364946,75369816,75501343,75699065,75880548,75885032,75888908,75899503,76418328,76600268,76685239,76740823,76907143,76930145,76955184,77291028,77293489,77594361,77783239,78020588,78593672,78936261,79075518,79122849,79203905,79376239,79391662,79439793,79469214,79720748,79944103,80097463,80145068,80396552,81068073,81122433,81151305,81152839,81350263,81466357,81692983,81839468,81957161,81990098,82128439,82415503,82607046,82667860,82714706,82794223,83061365,83076146,83307439,84040505,84396943,84441439,84695498,84791043,84882439,84963700,85273183,85359223,85370661,85530439,85573063,85768586,85915244,85970619,86203783,86561392,86574582,86627886,86760609,87191306,87218983,87414340,87573439,87806503,88252298,88377823,88417881,88518318,88712839,88780745,88859863,88896439,89114383,89222383,89674277,89802105,90008105,90300439,90434503,90446121,90838878,90882098,90974200,90982318,91040105,91087543,91354028,91707189,91751498,92059112,92307223,92316174,92594143,92617298,92734903,92790703,93173239,93306439,93432908,93846223,94043503,94067839,94145793,94164463,94212343,94330783,94338098,94562263,94675303,94960783,95000741,95040790,95044686,95315743,95363666,95376223,95504588,95573143,95642444,95788912,95799943,95963239,96033943,96214346,96288823,96305239,96365129,96386239,96574325,96703305,96706783,96723026,96820543,97021423,97084783,97204513,97217839,97275439,97286743,97381566,97431590,97450953,97569068,97671439,97679863,97704703,97736498,97744663,97979239,97984423,97994633,98087239,98115103,98143183,98168023,98425905,99187688,99201432,99314529,99385865,99420853,99673638,...,32420981619997247609063717451158793128847454135990827319182401135187482484087234028517332213520439844310147965833336876300516205166709048476664897862714137705822907873922760153328074978194589210117927525735531216585504378369109429242637822060387076508249889839069433402746032487774052958557795657087224575116850370902255161274310442606945663972890715387987604014059234892631091509724477153641505883144484034760751993821893836336455962814998355883092415718599180229133206630798933837819150255421414669487391522379362802233285986628071596950411665792485818372797285637355384528888518377626846345169908855389576626664120174744719727463962633668721668592399800067127998043019286512347952989945207294814447779690908903627261357527213986252962190681057934596952815534104090688085976697885424155791859679707858234632481095907327894455074571258329869500340835121539795712458829216377428094285963777660233610773967288699338362859828383031354588882727815020055856739831161770164389236784836161057445597200567631252477823294238273708031213919479089435102141740738120314378943062960445043503826080016236596810512949131097814848895292082301420466376929943877245485065548462665848263331297233700078275789294699359736784582171446293595930405875215839144635611113072570757547939498700146850498339016987533595223976297897281261808472726276514654357194657077062372444122635735299158307617125053206061145769081253114448010929428557954004487695754195946301993580480030152902632074508545891160847858864467044141009338830717872577335988299618072605879621687792792496228826196378355213899925632936132519904779625447016196042709595855049031907804114361670902312088993628295356174837367840299696681188670190812224134919126245564273068277096412840818349431759034468735545020951322507549395733879647634142601933784859931596821902015816073961319194668728129322604618509757073465490310168925832149826570869724433228442411132224521693116983552884809051324133040303193464339815675073969551629057738936575575505128245818182139838137888191434309599234373865567903979635744284121815067294166165569528655968604462404617932593646308168146118410200485317107607114752663057364174945937596841859122792337073915437709576075535065954878611800062235594719082211274313798630463058719189417274517466678578387658238965193405564071074018766094710740585660880778237171258575904488560464246965363970013691484913857762228388291983877535784493616215451721235298121919581177166246751521383978396542851290886703685993817693804734052406988916791517755050723804211040423060237152997876227617542490487746222005607903472443812506323803284536593599239936220526901629125330570950888218563182936770571976567449111461347617886421524575137802875818673948827064249557291580829812783191812413251527231435200389847382814855098080430676226023710919417317376913054017222005351161883709993408622718707908993294863499372085459233210430141116561479949007698808343656693556227460577191327238222766194417454527288516458884311721805690850524096057827874160241376729287267523476802391717529109885513995349539980876662207494714221727767419533740726004390358619942728889855974414030675096205420286406862645459983002157570448324}
19817 146345357697758811972610004431356682364174863399190637553583143914950541: {79252,772239,1089055,1306866,1880335,1940498,2195247,2256402,2355367,2772140,2830399,3326568,3364810,3614799,3742389,3960200,4037772,4455225,4752240,4789906,5069056,5236135,5346270,5702688,5737647,5827135,6024055,6283362,6308863,6415524,6502027,6992562,7204652,7204735,7228866,7500747,7732807,8157163,8583218,8645682,9288610,9347899,9810283,10150135,10215403,10292360,10533679,11129935,11146332,11461387,11515999,11578905,11653090,12180162,12192488,12261740,12350832,12408699,12430927,12891055,13355922,13608439,13716549,13772023,13894686,13934263,13983708,14014690,14091019,14278994,14547643,14714088,14844055,15469266,15580327,15782647,15888459,16058924,16329225,16373410,16553349,16581819,16617319,16817628,17142763,17417840,17637643,17812866,17826226,17965947,18311439,18627079,19302943,19346619,19533739,19595070,19648092,19691247,19906090,20366997,20469343,20506423,20901408,21029503,21192823,21411147,21754479,22090562,22127419,22257610,22422535,22941320,23029666,23125647,23185723,23514084,23583055,23616703,23653292,23794652,23887308,24246425,24481207,25175919,25551884,25808985,26002844,26285335,26363842,26478055,26611723,26709132,26907042,27398527,27441055,27529584,27781154,27820687,28299666,28759723,29095710,29294890,29313452,29944063,30060674,30324055,30399307,30970782,31035424,31117387,31280079,31542402,31562098,31617147,31773666,31930087,32276402,32742283,32929266,33299247,33327919,33823183,33962935,33992360,34365163,34489447,34637750,34641039,34897063,34914852,34975947,34992818,35153868,35175847,36080683,36313419,36388866,36795703,36825535,37030364,37146920,37206535,37250386,37384028,37777735,37798543,37818727,37965266,38024012,38241405,38645679,38684647,39596434,39679135,39868267,40028648,40597303,40755522,40790832,40818055,41565300,41628747,41766055,41790285,41876360,41955535,41959119,42126188,42492703,42523735,42943820,43636124,43944007,44190642,44336320,44453410,44576304,44647842,45032229,45153319,45333282,45375848,45614410,45724424,45889686,46302535,46366738,46458943,46561628,46774690,47110905,47275627,47614962,47620978,47695423,48037099,48078247,48123682,48276332,48449707,48562135,48981666,49093090,49115047,49134764,49314463,49482500,49713644,49878360,49989740,50119266,50148342,50251210,50251632,50346642,50440735,50843119,51028482,51047829,51150919,51177583,51439977,51532584,51775543,52083787,52565290,52753922,52883383,52900520,53203584,53344092,53529644,53808514,54140623,54185935,54344023,54630674,54737292,55563042,56113155,56129628,56352668,56505703,56533086,56537899,56873803,56984335,57542935,57562959,57663223,57729055,57757772,57771727,57889538,57974157,58274562,58466443,58620968,58911708,59018204,59190434,59280559,59379000,59513085,59639434,59854032,59987688,60115244,60301452,60489487,60516055,60528882,60771225,61070143,61550348,62337320,62612108,62969979,63078348,63337600,63480624,63670423,63798583,63801439,64348328,64402735,64546268,64548399,64822640,65023122,65650447,65735563,65948589,66063055,66399403,66801375,66810679,66866037,67239212,67335786,67486149,67505794,67536610,67580407,67639498,67958143,68381202,68572219,68627019,68683210,68769463,69051522,69274866,69924535,69944047,70129485,70192520,70346983,70474735,70841335,70889503,71031788,71254800,71290472,71415702,71739579,71837863,72049647,72171583,72391869,72411463,72489055,72610514,72619266,72925470,73273785,73287759,74216407,74405410,74695423,74804784,74883692,75248962,75547690,75741218,75922844,76005120,76027858,76189903,76367919,76470920,76796203,76798987,77049055,77283282,77787168,78043820,78158704,78510225,78966585,79275666,79591735,79602425,79731147,79733599,80133223,80161650,80201781,80551723,80860135,80991163,81043932,81072128,81248290,81543554,81698408,81829099,81904418,82325623,82419852,82468843,82699340,83085343,83320808,83523490,83744240,83815298,83909442,84155382,84231024,84311720,84409723,84569682,85009602,85098572,85383367,85505760,85878920,86029785,86115979,86576719,86789227,86801253,86986866,87115304,87277647,87510564,87566647,87770527,87928542,88794007,88817419,89002538,89211885,89275868,89286492,89315263,89354683,89863135,90256418,90657228,91206144,91580938,91765104,91785057,91864178,91910709,92036559,92273599,92458866,93652584,93735909,94212270,94759902,94850685,94856290,94861135,94982799,95036299,95159344,95418703,95510082,95522910,95532799,95750335,96193980,96542888,96613785,96697159,97032162,97164367,97324239,97497948,97525735,97767538,98004717,98242090,98397962,99239208,99650935,99887858,...,48631472429995871413595576176738189693271181203986240978773601702781223726130851042775998320280659766465221948750005314450774307750063572714997346794071206558734361810884140229992112467291883815176891288603296824878256567553664143863956733090580614762374834758604150104119048731661079437836693485630836862675275556353382741911465663910418495959336073081981406021088852338946637264586715730462258824716726052141127990732840754504683944222497533824638623577898770343699809946198400756728725383132122004231087283569044203349928979942107395425617498688728727559195928456033076793332777566440269517754863283084364939996180262117079591195943950503082502888599700100691997064528929768521929484917810942221671669536363355440892036290820979379443286021586901895429223301156136032128965046828136233687789519561787351948721643860991841682611856887494804250511252682309693568688243824566142141428945666490350416160950933049007544289742574547031883324091722530083785109746742655246583855177254241586168395800851446878716734941357410562046820879218634152653212611107180471568414594440667565255739120024354895215769423696646722273342938123452130699565394915815868227598322693998772394996945850550117413683942049039605176873257169440393895608812823758716953416669608856136321909248050220275747508525481300392835964446845921892712709089414771981535791985615593558666183953602948737461425687579809091718653621879671672016394142836931006731543631293919452990370720045229353948111762818836741271788296700566211514008246076808866003982449427108908819432531689188744343239294567532820849888449404198779857169438170524294064064393782573547861706171542506353468133490442443034262256051760449545021783005286218336202378689368346409602415644619261227524147638551703103317531426983761324093600819471451213902900677289897395232853023724110941978792003092193983906927764635610198235465253388748224739856304586649842663616698336782539675475329327213576986199560454790196509723512610954327443586608404863363257692368727273209757206832287151464398851560798351855969453616426182722600941249248354292983952906693606926898890469462252219177615300727975661410672128994586046262418906395262788684188505610873156564364113302598932317917700093353392078623316911470697945694588078784125911776200017867581487358447790108346106611028149142066110878491321167355756887863856732840696370448045955020537227370786643342582437975816303676740424323177581852947182879371765749370127282075967594814276936330055528990726540707101078610483375187276632576085706316560634590355729496814341426313735731619333008411855208665718759485704926804890398859904330790352443687995856426332327844774405155857964851173667192021426829632286862706704313728010923240596374335937371244719174787718619877290847152800584771074222282647120646014339035566379125976065369581025833008026742825564990112934078061863489942295249058128188849815645211674842219923511548212515485040334341190865786990857334149291626181790932774688326467582708536275786144086741811240362065093930901285215203587576293664828270993024309971314993311242071332591651129300611089006585537929914093334783961621046012644308130429610293968189974503236355672486}
19818 146915239256948952482227929642363888136341846424918056210499169481201959: {99065,118878,336617,810857,910478,1029652,1165781,1323317,1559381,1742488,1960299,1991417,2094878,2148281,2578997,2696297,2910747,2926996,3008536,3086777,3384603,3465175,3511406,4158210,4217726,4435424,4718057,4819732,4950250,4989852,5047215,5383696,5412857,5940300,6056658,6066677,6181817,6336320,6756437,6794681,7128360,7184859,7557881,7603584,7650196,7710137,7786217,8019405,8355797,8377816,8507381,8554032,9005815,9125678,9323416,9357806,9425043,9623286,9638488,9640181,9828281,10000996,10053326,10284878,10488843,10668427,10806978,10843299,10952681,11288597,11512181,11527576,11661077,12662777,12865450,12874827,12958457,12968523,13511486,13740878,13932915,13970126,14099381,14861776,14885678,14977397,15114206,15240610,15327175,15378281,15438540,15923381,16240216,16285781,16467776,16544932,16719498,17152277,17164478,17368181,17479635,17807896,18270243,18288732,18392610,18526248,18644944,19191737,19369397,19618784,19901177,20033883,20042681,20073655,20360597,20625688,20842029,20889017,20975562,21022035,21184612,21418491,21454526,21772300,22010297,22071132,22109092,22359017,22423504,22880597,23203899,23676857,23711381,23750488,23954596,24021737,24088386,24090617,24415252,24560115,25026878,25119977,25222517,25226442,25248926,25795492,25914206,26126760,26197456,26254996,26447381,26582837,26650517,26719299,26739339,27155996,27291881,27661877,27868544,27997397,28298681,28342478,28548196,28599317,28676650,29005972,29165417,29265077,29392605,29464181,29472138,29566615,29596757,29743315,29762297,29859135,30290681,30751337,30784181,30834196,31144937,31352112,31472057,31765781,31849744,31939855,32058857,32495726,32503555,32934197,33135843,33192437,33386415,33417977,33567892,33707381,33867881,34156277,34411980,34544499,35025067,35271126,35303381,35479938,35612176,35691978,35737886,35809877,35830962,35876056,36062357,36093881,36641815,36706112,36722681,36811406,36910697,37035881,37379477,37732888,37784297,38094878,38156777,38308286,38327826,38794280,39004266,39082937,39328697,39359381,39545763,39703867,39788117,40008871,40063698,40360563,40428281,40913657,41004437,41064917,41069486,41280878,41294376,41671731,41706772,41788181,42056536,42058217,42156196,42364888,42417257,42449499,42490450,42685781,42804917,42953657,43643565,43905688,43942335,43970178,44398996,44459381,44898281,45091011,45467323,45478478,45625781,45686846,46188052,46287955,46377077,46433650,46456173,46492181,46553136,46634596,46730035,46808057,46871824,47313603,47322857,47343147,47348606,47493881,47522357,47530015,47607737,47660499,48077887,48175097,48414603,48417892,48518488,48879797,49020137,49300217,49393899,49607381,50035810,50644478,50988540,51293347,51527572,51675881,51956625,52084181,52345450,52372278,52489227,52657735,52730802,52733717,52760681,53002997,53679775,53859317,53939177,54125237,54340696,54387776,54496181,54510446,54545155,54583299,54918197,55420400,55442837,55504996,55545546,55703957,55720380,55875579,55912277,55945492,56076042,56304787,56456681,56559977,56714681,56719810,56925326,56947899,57036018,57100181,57155530,57330617,57725678,58202035,58774997,58920856,59350457,59394651,59435072,59524757,59530456,59971157,60042972,60345415,60390377,60444376,60508766,61133283,61186248,61418455,61440437,61495886,61851497,61853125,62142055,62212277,62284217,62347950,62379163,62427881,62451797,62487175,62814540,63189282,63283817,63486616,63519737,63590357,63872117,63942377,64199381,64339157,64415730,64895381,65102777,65308888,65332457,65454186,65721077,65789417,66125650,66265781,66285963,66504480,66680115,66825688,66864456,66912055,66971763,67002176,67128856,67343006,67363577,67739957,67999923,68037976,68063772,68289257,68304926,68388866,68421615,68463977,68496878,68586636,68710112,68834529,69136181,69437237,69458681,69550107,69842442,69907157,70162035,70440835,70598846,70604777,70835381,70938112,71125456,71422443,71431467,71486107,71953397,72096617,72116606,72185523,72197215,72414498,72705977,72806837,72905707,72983056,72987881,73276210,73407797,73437086,73472499,73606517,73639635,73702146,73764917,73772755,73962197,74000846,74084056,74223750,74295737,74471381,74570466,74588117,74665781,74817540,74839504,74840057,74878697,74936597,74984610,75071417,75144055,75178899,75222513,75244181,75376815,75377448,75519963,75815381,75909881,75985337,76225891,76267157,76542723,76584377,76750612,76769897,76937935,77298876,77685497,77699416,77726126,77739797,77848181,77920277,77921650,78010217,78135797,78265135,78296681,78492437,78545657,78548944,78648446,78832478,78847935,79130883,79172000,79350780,79352681,79805376,79972457,79983584,80016138,80125781,80210681,80294466,80401936,80435410,80482286,80565077,80682835,80705176,80712771,80782697,81028300,81361877,81362578,81476537,81575678,81720917,81757406,81946011,82092137,82105938,82427381,82806197,82993877,83133881,83195897,83264426,83344563,83427317,83566766,83595881,83839337,83914997,83959972,84049015,84104464,84194442,84286478,84424181,84475027,84529002,84586937,84640832,84799629,85599977,85642517,85854137,86022137,86064532,86230517,86437097,86505557,86636658,86697496,86709737,86834307,86900138,86912117,87032681,87086057,87232181,87411843,87609379,87625781,87740650,87832757,87931452,87948281,88012181,88367562,88403897,88461043,88527306,88785651,88789735,89068500,89113090,89128181,89154716,89176277,89200277,89459151,89591657,89708537,89781048,89786126,89836181,89882357,89981532,90172866,90179381,90415337,90452178,90459881,90485678,90625781,90724457,90793323,90887477,91005881,91174936,91182926,91417877,91490537,91502692,91542197,91978217,92068696,92224478,92254771,92325522,92331881,92366488,92397566,92466617,92523881,92561897,92580857,92618681,92714083,92750057,92815157,92889077,92953337,93170681,93304181,93383417,93505980,93604615,93918162,94059257,94067381,94354517,94585877,94608617,94617522,94691381,94868597,94903555,94919417,94976606,94977017,95006400,95132777,95220936,95338937,95372597,95498681,95570357,95588650,95652772,95691881,95968181,96066196,96108917,96205817,96311381,96338846,96374887,96522492,96580457,96595637,96650681,96724181,96800597,96819402,96825688,96838037,96858463,96870377,97026197,97043381,97089977,97227881,97233960,97270517,97308437,97413881,97523246,97534683,97548281,97554775,97576757,97613717,97628777,97666997,97698380,97714937,97717012,97840181,97865657,97919957,97948181,97987577,98018537,98057237,98060117,98120681,98134457,98135381,98152181,98159381,98162681,98171897,98178677,98184917,98187797,98868206,99739712,...,72947208644993807120393364265107284539906771805979361468160402554171835589196276564163997480420989649697832923125007971676161461625095359072496020191106809838101542716326210344988168700937825722765336932904945237317384851330496215795935099635870922143562252137906225156178573097491619156755040228446255294012913334530074112867198495865627743939004109622972109031633278508419955896880073595693388237075089078211691986099261131757025916333746300736957935366848155515549714919297601135093088074698183006346630925353566305024893469913161093138426248033093091338793892684049615189999166349660404276632294924626547409994270393175619386793915925754623754332899550151037995596793394652782894227376716413332507504304545033161338054436231469069164929032380352843143834951734204048193447570242204350531684279342681027923082465791487762523917785331242206375766879023464540353032365736849213212143418499735525624241426399573511316434613861820547824986137583795125677664620113982869875782765881362379252593701277170318075102412036115843070231318827951228979818916660770707352621891661001347883608680036532342823654135544970083410014407185178196049348092373723802341397484040998158592495418775825176120525913073559407765309885754160590843413219235638075430125004413284204482863872075330413621262788221950589253946670268882839069063634122157972303687978423390337999275930404423106192138531369713637577980432819507508024591214255396510097315446940879179485556080067844030922167644228255111907682445050849317271012369115213299005973674140663363229148797533783116514858941851299231274832674106298169785754157255786441096096590673860321792559257313759530202200235663664551393384077640674317532674507929327504303568034052519614403623466928891841286221457827554654976297140475641986140401229207176820854351015934846092849279535586166412968188004638290975860391646953415297353197880083122337109784456879974763995425047505173809513212993990820365479299340682185294764585268916431491165379912607295044886538553090909814635810248430727196598277341197527783954180424639274083901411873872531439475929360040410390348335704193378328766422951091963492116008193491879069393628359592894183026282758416309734846546169953898398476876550140030088117934975367206046918541882118176188867664300026801372231037671685162519159916542223713099166317736981751033635331795785099261044555672068932530805841056179965013873656963724455515110636484766372779420774319057648624055190923113951392221415404495083293486089811060651617915725062780914948864128559474840951885533594245221512139470603597428999512617782812998578139228557390207335598289856496185528665531993784639498491767161607733786947276760500788032140244448430294060056470592016384860894561503906056867078762181577929815936270729200877156611333423970680969021508553349568688964098054371538749512040114238347485169401117092795234913442873587192283274723467817512263329885267322318773227560501511786298680486286001223937439272686399162032489701374062804413679216130112716860543097640896351927822805381364440497242406489536464956972489966863106998887476693950916633509878306894871140002175942431569018966462195644415440952284961754854533508729}
19819 147487324313542629779314432925493876828444829862612430794327919560162888: {19819,158504,178317,1287065,1365717,1524677,1544478,2178110,2613732,2632469,3142317,3345017,3658745,3760670,3880996,4390494,4512804,4710734,5267109,5544280,5660798,6024665,6237315,6326589,6653136,6729620,6743957,7229598,7330589,7425375,7455929,7484778,7920400,8075544,8157989,8433677,8642549,8910450,9084987,9504480,9562745,9579812,10086629,10138112,10472270,10692540,11047517,11405376,11475294,11654270,12048110,12072749,12501245,12566724,12617726,12831048,13004054,13609817,13688517,13893389,13985124,14036709,14210189,14409304,14409470,14434929,14443829,14457732,15001494,15079989,15392261,15427317,15465614,15581909,16210467,16314326,16814909,17166436,17192669,17291364,17639429,17763341,18047477,18577220,18695798,19298175,19535717,19620566,20259629,20267229,20300270,20430806,20584720,20611317,20681165,20781677,20955189,21067358,21194969,22259870,22292664,22328517,22654397,22671309,22812569,22860915,22877501,22922774,23031998,23157810,23306180,23619101,24360324,24384976,24523480,24701664,24817398,24853049,24861854,25079247,25746717,25782110,26480765,26711844,27215375,27216878,27361349,27401309,27433098,27494357,27544046,27588915,27636365,27789372,27868526,27910649,27967416,28029380,28182038,28557988,29095286,29428176,29688110,29943245,30519065,30938532,31093709,31160654,31391549,31404749,31463343,31565294,31776918,32117848,32181789,32244365,32658450,32746820,32818745,33016277,33106698,33163638,33234638,33635256,33944995,34285526,34492949,34835680,35275286,35625732,35652452,35685245,35825789,35931894,36132579,36257465,36622878,36799469,37069277,37254158,37303757,37540317,37802381,37839663,37873389,38417477,38542745,38547029,38605886,38693238,38871309,39067478,39190140,39296184,39382494,39812180,40733994,40938686,41012846,41740889,41802816,41959865,42059006,42267989,42385646,42453677,42513717,42822294,42924101,43014975,43397117,43508958,43948469,44181124,44208207,44254838,44515220,44845070,45484637,45882640,46059332,46251294,46371446,47028168,47166110,47233406,47306584,47548109,47589304,47774616,48267341,48492850,48743589,48962414,49312217,49355309,50022029,50218649,50351838,51103768,51555749,51617970,51924701,52005688,52089149,52133465,52570670,52695245,52727684,52888829,52906689,52956110,53219907,53223446,53234009,53418264,53537967,53606829,53746443,53814084,54349541,54797054,54882110,55059168,55217109,55498745,55550789,55562308,55641374,56599332,56771117,56781629,57142317,57145277,57462429,57491739,57519446,57735065,58191420,58280729,58293245,58472477,58506399,58589780,58626904,58737749,58805069,59510957,59533229,59888126,60095547,60121348,60495629,60522365,60648110,60798614,61604229,61639997,61921317,61941564,62070848,62211641,62234774,62560158,63084804,63124196,63234294,63547332,63735675,63805061,63860174,64337129,64409465,64552804,64823549,65281877,65484566,65854877,65858532,65955267,66316949,66598494,66655838,66817517,66910709,67587269,67646366,67925870,67984720,67986989,68217717,68530269,68730326,68978894,69275500,69282078,69381245,69650475,69794126,69829704,69931865,69951149,69951894,69985636,70307736,70351694,70617029,70896701,70915757,71022909,71161061,72161366,72178997,72626838,72777732,73292537,73374029,73547897,73591406,73651070,74060728,74293840,74413070,74500772,74768056,75053715,75342149,75555470,75597086,75637454,75860309,75930532,75966717,76048024,76482810,77291358,77369294,77405357,78271337,78483317,78518175,78558417,79096203,79192868,79358270,79736534,79778069,80057296,80314169,80560109,80820677,80999501,81194606,81511044,81581664,81636110,81765669,82429469,82947749,83130600,83257494,83318319,83532110,83580570,83752720,83911070,83918238,84114063,84252376,84722477,84791909,84985406,85047470,85079715,85153421,85264397,85293689,85387989,85554027,85733295,85887640,86588517,87017717,87272248,87888014,88276409,88381284,88672640,88906820,89152608,89295684,89560661,89695469,89781197,89979317,90064458,90163829,90306638,90666564,90751696,90759149,90763149,91228820,91448848,91733141,91779372,92243829,92488277,92605070,92733476,92917886,93123256,93521925,93549380,93622517,94221810,94230617,94551254,94783923,95229924,95241956,95390846,95428469,95716829,95938265,96074198,96156494,96247364,96552664,96623595,96707117,96899414,97124270,97894349,97963332,98181279,98186180,98191769,98230094,98269528,98628926,98664629,98965000,99177869,99188475,99427288,99756720,99822941,99979480,...,97262944859991742827191152353476379386542362407972481957547203405562447452261702085551996640561319532930443897500010628901548615500127145429994693588142413117468723621768280459984224934583767630353782577206593649756513135107328287727913466181161229524749669517208300208238097463322158875673386971261673725350551112706765483822931327820836991918672146163962812042177704677893274529173431460924517649433452104282255981465681509009367888444995067649277247155797540687399619892396801513457450766264244008462174567138088406699857959884214790851234997377457455118391856912066153586665555132880539035509726566168729879992360524234159182391887901006165005777199400201383994129057859537043858969835621884443343339072726710881784072581641958758886572043173803790858446602312272064257930093656272467375579039123574703897443287721983683365223713774989608501022505364619387137376487649132284282857891332980700832321901866098015088579485149094063766648183445060167570219493485310493167710354508483172336791601702893757433469882714821124093641758437268305306425222214360943136829188881335130511478240048709790431538847393293444546685876246904261399130789831631736455196645387997544789993891701100234827367884098079210353746514338880787791217625647517433906833339217712272643818496100440551495017050962600785671928893691843785425418178829543963071583971231187117332367907205897474922851375159618183437307243759343344032788285673862013463087262587838905980741440090458707896223525637673482543576593401132423028016492153617732007964898854217817638865063378377488686478589135065641699776898808397559714338876341048588128128787565147095723412343085012706936266980884886068524512103520899090043566010572436672404757378736692819204831289238522455048295277103406206635062853967522648187201638942902427805801354579794790465706047448221883957584006184387967813855529271220396470930506777496449479712609173299685327233396673565079350950658654427153972399120909580393019447025221908654887173216809726726515384737454546419514413664574302928797703121596703711938907232852365445201882498496708585967905813387213853797780938924504438355230601455951322821344257989172092524837812790525577368377011221746313128728226605197864635835400186706784157246633822941395891389176157568251823552400035735162974716895580216692213222056298284132221756982642334711513775727713465681392740896091910041074454741573286685164875951632607353480848646355163705894365758743531498740254564151935189628553872660111057981453081414202157220966750374553265152171412633121269180711458993628682852627471463238666016823710417331437518971409853609780797719808661580704887375991712852664655689548810311715929702347334384042853659264573725413408627456021846481192748671874742489438349575437239754581694305601169542148444565294241292028678071132758251952130739162051666016053485651129980225868156123726979884590498116256377699631290423349684439847023096425030970080668682381731573981714668298583252363581865549376652935165417072551572288173483622480724130187861802570430407175152587329656541986048619942629986622484142665183302258601222178013171075859828186669567923242092025288616260859220587936379949006472711344972}
19820 148061621327333135873076942069870781436716383069966729063024611381453129: {138691,198130,237756,376219,673234,850411,1205299,1323451,1621714,1820956,2030851,2059304,2316717,2331562,2646634,2735659,3118762,3267165,3484976,3920598,3982834,4137499,4189756,4296562,4370131,4851245,5157994,5392594,5413411,5641005,5821494,5853992,6017072,6105691,6173554,6450859,6565771,6585741,6769206,6795379,6930350,7022812,7066101,7253731,7368139,7710931,8316420,8394571,8412025,8435452,8491197,8508259,8870848,9415171,9436114,9639464,9900500,9979704,10094430,10542331,10767392,10825714,10844397,10991179,11227167,11550619,11662291,11773891,11880600,11974765,12113316,12133354,12363634,12608141,12672640,13365675,13512874,13589362,13990771,14100859,14256720,14320819,14369718,14650219,15115762,15207168,15300392,15416299,15420274,15572434,15708405,16038810,16711594,16755632,17014762,17108064,17154091,17212941,17481405,18011630,18072165,18251356,18646832,18715612,18850086,18926589,19246572,19276976,19280362,19406971,19506081,19656562,19938691,20001992,20106652,20569756,20977686,21102139,21336854,21458045,21613956,21614205,21686598,21905362,22502241,22577194,22987171,23024362,23055152,23198421,23221525,23322154,23713939,24024331,24127651,24471489,24540211,25325554,25464259,25730900,25749654,25916914,25937046,26178931,26687251,27022972,27481756,27865830,27940252,28000459,28043697,28103117,28198762,28602451,29102131,29132725,29301499,29430849,29500579,29723552,29771356,29954794,30228412,30450405,30481220,30646209,30654350,30689011,30756562,30787579,30877080,31181131,31601037,31769299,31846762,32062411,32480432,32571562,32935552,32937859,33089864,33389805,33421699,33438996,34304554,34328956,34384161,34547997,34736362,34736715,34959270,35036725,35529211,35615792,35697485,36097939,36540486,36577464,36785220,36946171,37052496,37226097,37289888,37292781,37414891,37788571,38161099,38383474,38673165,38738794,39087379,39237568,39363859,39547819,39802354,39823219,40006459,40067766,40085362,40147310,40463299,40721194,40825317,40933525,41149647,41251376,41316069,41371579,41393261,41462011,41640641,41642659,41684058,41778034,41802789,41951124,42044070,42273057,42362371,42369224,42836982,42909052,43344451,43544600,43610779,43642929,44020594,44142264,44218184,44532165,44565565,44715797,44718034,44847008,45020251,45504977,45761194,45978571,46407798,46411291,46740981,47185651,47347941,47353714,47422762,47500976,47527939,47665377,47909192,48043474,48124171,48176772,48181234,48463291,48830504,48987675,49120230,49306051,49660047,49745457,49765225,49851957,50053756,50239954,50445034,50452884,50497852,51298541,51299299,51428289,51545539,51590984,51828412,52117579,52253520,52394912,52509992,52686091,52767019,52894762,52912929,53009371,53165674,53301034,53411851,53438598,53478678,53734109,53892451,53897841,53972299,54311992,54529219,54583762,54934317,55082611,55226405,55323754,55475731,55644025,55737088,55881237,55994794,56566891,56597362,56684956,56819321,57096392,57198634,57353300,57574165,57720331,57908829,58011944,58025179,58039857,58330834,58530154,58601217,58782259,58785210,58857571,58928362,58944276,59073741,59133230,59193514,59486630,59524594,59718270,59755699,60052771,60581362,61100991,61408029,61448131,61502674,61519269,61568362,61668392,62172091,62289874,62316019,62459659,62603011,62704224,62944114,63088509,63315451,63531562,63578469,63699488,63879710,64117714,64233441,64370611,64803137,64991452,65007110,65065051,65134099,65263437,65340811,65422049,65615419,65820619,65868394,65909605,66271686,66296899,66382257,66384874,66542021,66772830,66835954,67038211,67135784,67267605,67414762,67735762,68312554,68363731,68823960,69015691,69080491,69088998,69376941,69452885,69467779,69557169,69596299,70043851,70050134,70234579,70542252,70606762,70749165,70850109,70959876,71224352,71365339,71383956,71475772,71619754,71661924,71675299,71752112,71983459,72124714,72187762,72739275,73237225,73283630,73412224,73437571,73443621,73445362,73616419,73622812,73720829,73794619,73821394,74031211,74071762,74090179,74325331,74758954,75139291,75151685,75465776,75527757,75568594,75712051,76189756,76277611,76313554,76363217,76616572,76655652,77426955,77588560,77985091,78008532,78039019,78146659,78165874,78574339,78657394,78718762,78856005,78905245,78997411,79091526,79363819,79407734,79434165,79576234,79829731,79835169,80017742,80034931,80127396,80691005,80721126,80794171,80856562,80894179,81241939,81482849,81488179,81781291,81827314,82008874,82129834,82138972,82195581,82323165,82561756,82588752,83343462,83413544,83462061,83576362,83623339,83942371,84078019,84113072,84116434,84312392,84483581,84658339,84729776,84834514,84898998,84980900,85371562,85484611,85609834,85740139,85907314,85985837,86034979,86279169,86450059,86594375,86776939,86938651,86998877,87059179,87287130,87482045,87495571,87652099,87729931,87811376,87884670,87940356,88789339,88797992,88918762,89546851,89687539,89722531,89796562,89832189,89965459,90068491,90182022,90901891,90934646,90956956,90966619,90972165,91063171,91095211,91197921,91251562,91373692,91442899,91567171,91751419,91963099,92288611,92376104,92575910,92754154,92867300,92912346,92984362,93106272,93125965,93269192,93352161,93425131,93460070,93616114,93676877,93743648,93840237,94034251,94083139,94299571,94533211,94627206,94645714,94686294,94697212,94851441,94892059,94913165,94935619,94987762,95044714,95060030,95215474,95320998,95395771,95515219,95593411,95670451,95708539,95783851,95790261,95858011,96125851,96155774,96278779,96350194,96393691,96441859,96551731,96612931,96717259,96760891,96829206,96832171,96835784,96887899,97036976,97111891,97245739,97466779,97497451,97537339,97566499,97604371,97641091,97676659,97759594,97858819,97886611,97938739,97968979,98008291,98040274,98076331,98136811,98146099,98154739,98172379,98191459,98198299,98206579,98226849,98600434,98617169,98787798,98991085,99214762,99897741,99983757,...,145894417289987614240786728530214569079813543611958722936320805108343671178392553128327994960841979299395665846250015943352322923250190718144992040382213619676203085432652420689976337401875651445530673865809890474634769702660992431591870199271741844287124504275812450312357146194983238313510080456892510588025826669060148225734396991731255487878008219245944218063266557016839911793760147191386776474150178156423383972198522263514051832667492601473915870733696311031099429838595202270186176149396366012693261850707132610049786939826322186276852496066186182677587785368099230379998332699320808553264589849253094819988540786351238773587831851509247508665799100302075991193586789305565788454753432826665015008609090066322676108872462938138329858064760705686287669903468408096386895140484408701063368558685362055846164931582975525047835570662484412751533758046929080706064731473698426424286836999471051248482852799147022632869227723641095649972275167590251355329240227965739751565531762724758505187402554340636150204824072231686140462637655902457959637833321541414705243783322002695767217360073064685647308271089940166820028814370356392098696184747447604682794968081996317184990837551650352241051826147118815530619771508321181686826438471276150860250008826568408965727744150660827242525576443901178507893340537765678138127268244315944607375956846780675998551860808846212384277062739427275155960865639015016049182428510793020194630893881758358971112160135688061844335288456510223815364890101698634542024738230426598011947348281326726458297595067566233029717883702598462549665348212596339571508314511572882192193181347720643585118514627519060404400471327329102786768155281348635065349015858655008607136068105039228807246933857783682572442915655109309952594280951283972280802458414353641708702031869692185698559071172332825936376009276581951720783293906830594706395760166244674219568913759949527990850095010347619026425987981640730958598681364370589529170537832862982330759825214590089773077106181819629271620496861454393196554682395055567908360849278548167802823747745062878951858720080820780696671408386756657532845902183926984232016386983758138787256719185788366052565516832619469693092339907796796953753100280060176235869950734412093837083764236352377735328600053602744462075343370325038319833084447426198332635473963502067270663591570198522089111344137865061611682112359930027747313927448911030221272969532745558841548638115297248110381846227902784442830808990166586972179622121303235831450125561829897728257118949681903771067188490443024278941207194857999025235565625997156278457114780414671196579712992371057331063987569278996983534323215467573894553521001576064280488896860588120112941184032769721789123007812113734157524363155859631872541458401754313222666847941361938043017106699137377928196108743077499024080228476694970338802234185590469826885747174384566549446935635024526659770534644637546455121003023572597360972572002447874878545372798324064979402748125608827358432260225433721086195281792703855645610762728880994484812979072929913944979933726213997774953387901833267019756613789742280004351884863138037932924391288830881904569923509709067017458}
19821 148638138790363289079201857093684803422772315019799798605108346102395749: {39638,297195,317008,356634,1009851,1801891,2276195,2432571,2574130,2731434,3049354,3088956,3497343,3701291,3969951,4356220,4678143,5122243,5227464,5237195,5264938,5880897,5974251,6284634,6444843,6690034,7317490,7521340,7736991,7761992,7970131,8088891,8434531,8732241,8778515,8780988,9025608,9260331,9421468,10153809,10217471,10395525,10534218,10544315,11088560,11321596,12049330,12375625,12474630,12653178,12818399,13306272,13387843,13459240,13487914,13774811,14154171,14459196,14661178,14850750,14911858,14969556,15141645,15416159,15840800,16143103,16151088,16238571,16315978,16620683,16867354,17285098,17501743,17795651,17820900,18010751,18169974,18200031,18545451,18988399,19008960,19125490,19159624,20173258,20269311,20276224,20384043,20944540,21350831,21385080,21554577,21896699,22095034,22656691,22673643,22810752,22814195,22950588,23130411,23308540,23358651,23394515,23483939,24058215,24096220,24145498,24483371,25002490,25067391,25133315,25133448,25235452,25522143,25662096,25712195,26008108,26785823,27017445,27219634,27377034,27786778,27913483,27970248,28073418,28275129,28420378,28818608,28818940,28869858,28887658,28915464,28920543,28953631,29484843,30002988,30159978,30338843,30784522,30854634,30931228,31163818,31466529,32005281,32163625,32214191,32224379,32420934,32493331,32529897,32628652,32858043,33181259,33629818,33778715,33865791,34332872,34352195,34385338,34536543,34582728,34925315,34983231,35278858,35526682,35828843,36094954,37073071,37154440,37214195,37391596,37785515,37988331,38101525,38550943,38596350,38624481,38690911,38875371,38905569,39071434,39241132,40344323,40519258,40534458,40600540,40861612,41169440,41222634,41362330,41563354,41798745,41910378,41920543,42134716,42298143,42389938,42726691,42866771,42911195,43576943,44519740,44585328,44619571,44657034,44932191,45142111,45308794,45342618,45625138,45721830,45755002,45756131,45845548,45946243,45981525,46063996,46134843,46315620,46612360,47238202,47439563,47522993,47770143,48720648,48769952,48857343,48878443,48898751,49046960,49403328,49634796,49706098,49723708,49959343,50158494,50175851,50728483,50760451,51452159,51456831,51493434,51564220,51717691,52104543,52438905,52961530,53423688,53636315,53754571,53959843,54002399,54430750,54433756,54722698,54802618,54810729,54866196,54988714,55088092,55177830,55272730,55276331,55578744,55737052,55821298,55934832,56058760,56364076,57115976,57372899,57575211,57821819,58108191,58190572,58743811,58856352,59376220,59703531,59886490,60101649,60128043,60220965,61038130,61081791,61630043,61877064,61951811,62187418,62321308,62526087,62567195,62667051,62783098,62809498,62860591,62926686,63066105,63122315,63130588,63553836,64235696,64255473,64363578,64488730,64785515,65316900,65493640,65637490,66030891,66032554,66213396,66327276,66469276,66502099,66917503,67028891,67077051,67270512,67889990,68571052,68641791,68985898,69611697,69671360,70331131,70550572,70656643,70856195,71030571,71134143,71251464,71304904,71370490,71651578,71691625,71863788,71906203,72065211,72265158,72271851,72514930,72986851,73245756,73299979,73598938,73680345,73773343,74118943,74119811,74138554,74290271,74508316,74607514,74692139,75004291,75080634,75359931,75547643,75551531,75604762,75667551,75679326,75746778,76834954,77085490,77094058,77211772,77386476,77520731,77698243,77742618,77828491,78134956,78380280,78592368,78764988,79342143,79624360,79748511,79951551,80157897,80218017,80829091,81239315,81467988,81610543,81845951,81875643,81877372,82025692,82089451,82985631,83102459,83432651,83481778,83605632,83809531,83919730,83992191,84118012,84535978,84731311,84771292,84896043,84907354,85027434,85302451,85644588,85797951,85848202,86029950,86794234,87017916,87367811,87496251,87666211,87795231,87896938,88177815,88362248,88374943,88392543,88416414,88509676,88699845,88790271,89030440,89229945,89286891,89344715,89373119,89577405,89690140,90173251,90872043,90969274,91765280,91875839,92028515,92118664,92254011,92352543,92502588,92742892,92753011,93434811,94056336,94332220,94416171,94466812,94613168,94842739,95096218,95178608,95237195,95297343,95549232,95726683,95770715,95819565,96176571,96259771,96534682,96985700,97133743,97487178,97510665,97904611,97924828,98624434,98710618,98802591,99407529,99577311,...,218841625934981421361180092795321853619720315417938084404481207662515506767588829692491992441262968949093498769375023915028484384875286077217488060573320429514304628148978631034964506102813477168296010798714835711952154553991488647387805298907612766430686756413718675468535719292474857470265120685338765882038740003590222338601595487596883231817012328868916327094899835525259867690640220787080164711225267234635075958297783395271077749001238902210873806100544466546649144757892803405279264224094549019039892776060698915074680409739483279415278744099279274016381678052148845569997499048981212829896884773879642229982811179526858160381747777263871262998698650453113986790380183958348682682130149239997522512913635099484014163308694407207494787097141058529431504855202612144580342710726613051595052838028043083769247397374463287571753355993726619127300637070393621059097097210547639636430255499206576872724279198720533949303841585461643474958412751385377032993860341948609627348297644087137757781103831510954225307236108347529210693956483853686939456749982312122057865674983004043650826040109597028470962406634910250230043221555534588148044277121171407024192452122994475777486256327475528361577739220678223295929657262481772530239657706914226290375013239852613448591616225991240863788364665851767761840010806648517207190902366473916911063935270171013997827791213269318576415594109140912733941298458522524073773642766189530291946340822637538456668240203532092766502932684765335723047335152547951813037107345639897017921022421990089687446392601349349544576825553897693824498022318894509357262471767359323288289772021580965377677771941278590606600706990993654180152232922022952598023523787982512910704102157558843210870400786675523858664373482663964928891421426925958421203687621530462563053047804538278547838606758499238904564013914872927581174940860245892059593640249367011329353370639924291986275142515521428539638981972461096437898022046555884293755806749294473496139737821885134659615659272729443907430745292181589794832023592583351862541273917822251704235621617594318427788080121231171045007112580134986299268853275890476348024580475637208180885078778682549078848275248929204539638509861695195430629650420090264353804926101618140755625646354528566602992900080404116693113015055487557479749626671139297498953210945253100905995387355297783133667016206797592417523168539895041620970891173366545331909454299118338262322957172945872165572769341854176664246213485249880458269433181954853747175188342744846592385678424522855656600782735664536418411810792286998537853348438995734417685672170622006794869569488556585996595981353918495475301484823201360841830281502364096420733345290882180169411776049154582683684511718170601236286544733789447808812187602631469834000271912042907064525660048706066892294163114616248536120342715042455508203351278385704740328620761576849824170403452536789989655801966956319682681504535358896041458858003671812317818059197486097469104122188413241037648390338150581629292922689055783468416144093321491727219468609394870917469900589320996662430081852749900529634920684613420006527827294707056899386586933246322856854885264563600526187}
19822 149216885227047501659641655731485152383075473091969399919088539404037808: {59457,277382,396260,475512,534951,573997,752438,1166017,1346468,1402321,1638337,1700822,2227117,2410598,2646902,3243428,3641912,3861195,4061702,4097151,4118608,4574031,4633434,4663124,4680337,4912321,5144017,5259757,5293268,5445275,5471318,5491021,6237524,6534330,6791743,6872557,6969952,6987217,7559437,7787821,7841196,7897407,7965668,8129857,8274998,8357521,8379512,8584897,8593124,8698477,8740262,9401675,9426951,9702490,9717457,10035051,10055821,10315988,10785188,10826822,10842817,10976235,11282010,11642988,11707984,11776835,12034144,12211382,12295021,12347108,12628417,12901718,13071937,13131542,13171482,13403821,13538412,13590758,13860700,14045624,14132202,14151995,14175697,14507462,14736278,15381517,15421862,15599821,15801327,16361617,16632840,16764671,16789142,16824050,16870904,16982394,17016518,17227921,17741696,17982157,18073995,18518737,18711945,18830342,18872228,18979767,19160257,19278928,19692877,19801000,19959408,20188860,20231871,20435521,20647057,20752717,21084662,21490321,21534784,21651428,21688794,21982358,21991767,22276125,22367787,22454334,22850797,23101238,23324582,23547782,23761200,23785537,23949530,24095821,24226632,24266708,24405457,24473967,24727268,25125421,25216282,25301031,25345280,25927647,25943917,26180675,26656321,26731350,27025748,27163021,27178724,27254961,27365197,27667921,27981542,28201718,28371757,28513440,28641638,28672321,28688235,28739436,29135675,29300438,30041263,30120275,30231524,30259887,30414336,30600784,30832598,30840548,31144868,31348237,31416810,31544315,32077620,32510135,33142551,33423188,33511264,34029524,34067821,34216128,34259917,34308182,34425882,34547521,34962810,36023260,36023675,36144330,36218247,36259537,36502712,37293664,37431224,37503735,37700172,37853178,37855021,38041357,38493144,38553952,38560724,38664035,38813942,38968717,39012162,39313124,39429697,39877382,40003984,40213304,40785815,40801837,40829451,40892737,41065551,41074321,41139512,41680167,41955372,42110127,42204278,42630567,42673708,42916090,43227912,43228410,43304787,43331487,43373196,43763521,43810724,44645521,45004482,45154388,45239967,45258637,45694417,45974342,46048724,46110304,46176783,46214977,46281951,46396842,46443050,46644308,46646797,46739495,46745727,47427878,47505037,47675821,48048662,48255302,48271297,48631401,48778897,48942978,49051415,49080422,49619137,49976479,50444727,50452177,50617921,50651108,50750675,50928518,51077015,51461800,51499308,51578007,51833828,51874092,52096657,52357862,52668395,52918287,53069521,53230657,53290023,53374502,54045944,54142431,54905197,54963512,55039391,55456321,55649675,55691437,55731660,55880504,56000918,56087394,56206234,56397524,56625421,57204902,57306935,57579995,57894525,58204262,58265450,58310797,58602998,58607151,58861698,59001158,59447104,59542712,59887057,59909588,60405421,60456824,60778887,60801687,60900810,60962440,61139821,61292418,61308700,61378022,61504321,61513124,61575158,61649617,61754160,61833951,62043495,62154635,62345031,62362262,62391791,62865567,62871083,63202074,63441517,63503947,63512257,63538598,63584907,63693524,63864877,64124822,64145677,64355521,64455275,64911937,64960864,65143124,65871104,65875718,66079021,66179728,66214957,66418321,66779610,66843398,66877992,66985551,67292077,67955917,67963191,68013927,68042195,68087821,68437707,68547217,68582745,68609108,68632503,68657912,68768322,68860115,68873197,69095994,69197377,69472724,69473430,69671315,69918540,70073450,70455095,70539277,70791277,70857303,70979521,71058422,71231584,71291821,71394970,72195878,72738215,72826321,73080972,73154928,73427521,73546897,73570440,73892342,74104992,74198317,74220275,74452194,74491537,74559147,74579776,74585562,74608321,74829782,74899021,75072577,75237741,75577142,75589357,75930637,76322198,76325521,76605421,76716877,76766948,76772497,76994257,77240151,77269837,77316967,77346330,77477588,77869777,77901635,78174758,78475136,78727718,78779821,78913235,78938257,79095638,79409677,79442295,79604708,79646438,80012918,80135532,80170724,80233357,80294620,80603831,80839021,80926598,81434317,81442388,81646125,81650634,81867050,82084047,82203927,82299294,82451137,82483071,82502752,82632138,82743158,82766745,82783021,82786522,82909095,82924022,83086595,83281282,83285318,83368116,83556068,83605578,83711821,83731947,83803117,83902248,83939521,84030097,84088140,84255277,84478657,84546114,84724742,84738448,84963757,85181377,85354177,85568557,85611217,85673964,85713815,85818104,86531521,86688902,87018817,87089200,87139021,87221558,87285858,87652417,87923821,88039057,88041188,88188215,88284528,88418497,88436368,88478951,88937617,88974157,89064330,89131130,89155777,89227921,89431594,89436068,89694016,89759821,89829517,89829735,90040502,90207697,90376717,90610321,90937921,91009954,91162957,91321537,91522388,91557195,91571521,91664077,91957142,92273447,92410177,92611021,92696017,92808337,92815596,92822582,93135395,93219277,93281127,93352657,93481962,93943021,93992557,94115137,94174647,94214247,94259857,94371302,94390029,94610317,94695882,94707428,94723537,94845524,95001952,95030977,95055878,95330754,95445697,95544877,95818384,96013777,96031597,96086948,96239821,96248342,96353544,96356497,96362468,96514715,96532717,96545367,96670417,96733095,96886957,96926582,97035457,97100077,97234039,97271437,97329217,97340557,97471021,97661008,97668695,97735117,97751821,97845997,97882177,97975350,97997521,98024399,98041297,98051521,98075821,98085037,98098321,98148397,98178637,98191057,98199697,98240460,98456235,98612102,99048831,99320094,99490914,99530450,99703914,...,291788834579975228481573457060429138159627087223917445872641610216687342356785106256655989921683958598791331692500031886704645846500381436289984080764427239352406170865304841379952674803751302891061347731619780949269539405321984863183740398543483688574249008551624900624714292389966476627020160913785021176051653338120296451468793983462510975756016438491888436126533114033679823587520294382773552948300356312846767944397044527028103665334985202947831741467392622062198859677190404540372352298792732025386523701414265220099573879652644372553704992132372365355175570736198460759996665398641617106529179698506189639977081572702477547175663703018495017331598200604151982387173578611131576909506865653330030017218180132645352217744925876276659716129521411372575339806936816192773790280968817402126737117370724111692329863165951050095671141324968825503067516093858161412129462947396852848573673998942102496965705598294045265738455447282191299944550335180502710658480455931479503131063525449517010374805108681272300409648144463372280925275311804915919275666643082829410487566644005391534434720146129371294616542179880333640057628740712784197392369494895209365589936163992634369981675103300704482103652294237631061239543016642363373652876942552301720500017653136817931455488301321654485051152887802357015786681075531356276254536488631889214751913693561351997103721617692424768554125478854550311921731278030032098364857021586040389261787763516717942224320271376123688670576913020447630729780203397269084049476460853196023894696562653452916595190135132466059435767405196925099330696425192679143016629023145764384386362695441287170237029255038120808800942654658205573536310562697270130698031717310017214272136210078457614493867715567365144885831310218619905188561902567944561604916828707283417404063739384371397118142344665651872752018553163903441566587813661189412791520332489348439137827519899055981700190020695238052851975963281461917197362728741179058341075665725964661519650429180179546154212363639258543240993722908786393109364790111135816721698557096335605647495490125757903717440161641561393342816773513315065691804367853968464032773967516277574513438371576732105131033665238939386184679815593593907506200560120352471739901468824187674167528472704755470657200107205488924150686740650076639666168894852396665270947927004134541327183140397044178222688275730123223364224719860055494627854897822060442545939065491117683097276230594496220763692455805568885661617980333173944359244242606471662900251123659795456514237899363807542134376980886048557882414389715998050471131251994312556914229560829342393159425984742114662127975138557993967068646430935147789107042003152128560977793721176240225882368065539443578246015624227468315048726311719263745082916803508626445333695882723876086034213398274755856392217486154998048160456953389940677604468371180939653771494348769133098893871270049053319541069289275092910242006047145194721945144004895749757090745596648129958805496251217654716864520450867442172390563585407711291221525457761988969625958145859827889959867452427995549906775803666534039513227579484560008703769726276075865848782577661763809139847019418134034916}
19823 149797869194294306225780812788314115581855313290184285851099136075198385: {79276,416073,495325,594390,634016,713268,1128657,1683085,2019702,2395921,2551233,3186673,3603782,3615897,3970353,4054285,4136737,4374253,4552390,4865142,5148260,5462868,5828905,6092553,6098708,6177912,6616585,6950151,6994686,7332073,7402582,7796905,7939902,8206977,8712440,9356286,9750061,9801495,9957085,10244486,10454928,10462033,10474390,10529876,10741405,11519497,11761794,11948502,12075193,12289921,12412497,12569268,12819697,12889686,12894985,13110393,13252921,13380068,13481485,14446753,14553735,14634980,14762041,15042680,15149017,15395377,15433885,15473982,15523984,15787441,15850417,15940262,16177782,16240233,16818313,16869062,16923015,17325875,17464482,17557030,17561976,17766937,17797453,18051216,18219097,18317073,18520662,18632737,18842936,19352577,19697313,19757223,19889257,20307618,20386137,20434942,20791050,21068436,21088630,21198303,21285433,21352993,21761193,22104417,22177120,22330297,22482721,22643192,23132793,23486317,23590285,24098660,24485857,24629497,24751250,24949260,25103521,25183713,25236075,25306356,25473591,25524777,25636798,25877917,26493361,26612544,26775686,26918480,26975828,27064285,27549622,27693817,28245513,28308342,28360321,28918392,28934893,29322356,29701500,29823716,29831821,29939112,30283290,30333385,30832318,30909085,31626993,31681600,31939873,32286206,32302176,32431177,32477142,32500141,32533191,32631956,32656921,32752321,32973537,33121633,33241366,33681501,33734708,33782185,33973405,34326121,34570196,34651857,34799857,34986873,35003486,35186641,35321673,35591302,35641800,35832481,35924295,35997073,36021502,36339948,36400062,36498541,37090902,37639753,37789405,37824423,37976798,38017920,38083357,38250980,38319248,38329561,38550685,38931085,40044001,40097025,40346516,40538622,40552448,40768086,41778985,41889080,41972313,42302577,42536905,42701662,42770160,42962457,43064041,43109154,43793398,43950657,44190068,44957833,45029075,45313382,45347286,45621504,45628390,45760777,45901176,46248897,46260822,46617080,46662193,46717302,46789030,46967878,47125215,47290201,48093073,48116430,48192440,48200905,48290996,48895441,48966742,49141405,49329577,50004980,50134782,50266630,50266896,50470904,50711257,51044286,51166513,51324192,51424390,51462273,51638823,51882721,52016216,52099873,52444215,52899721,53342135,53571646,54034890,54216495,54439268,54675241,54754068,54763405,55385053,55407661,55573556,55826966,55940496,56146836,56442985,56550258,56779767,56840756,57560905,57637216,57637880,57739716,57775316,57789433,57827737,57830928,57841086,57907262,58220913,58251721,58305385,58518243,58969686,58989037,59298733,59816073,60005976,60075673,60171577,60319956,60370321,60677686,60807097,61088761,61569044,61709268,61862456,62063641,62327636,62856217,62933058,63306417,63313885,63719197,63821017,64010562,64327250,64374135,64428382,64448758,64494637,64792285,64841868,64842615,64862221,64986662,65059794,65257304,65326573,65670541,65716086,66362518,66712921,67035697,67259636,67506723,67557430,67731582,68334877,68665744,68704390,68770676,68961513,69073086,69165456,69595263,69664575,69850630,69966462,70298593,70496905,70557716,71053364,71141817,71657686,72072993,72189908,72382953,73134961,73414467,73620633,74127337,74146142,74239153,74308880,74428390,74718457,74783192,74886985,75090841,75571030,75976662,76203050,76207693,76213261,76392777,76635875,76891405,77101886,77192700,77248962,77381822,77750742,77811138,77862241,78142868,78482264,78536793,79616905,79843321,80061753,80688646,81016177,81038516,81068916,81201080,81428905,81499021,81723224,81854377,82338880,82350721,82445268,82724660,83111017,83126708,83597490,83820756,83841086,84001377,84131091,84269432,84309351,84435601,84596286,84779876,85453382,85733542,85761385,85807353,85822390,86142337,86603113,86640817,86840905,87153886,87294097,87306393,87376753,87398175,87594073,87797593,87904497,88292547,88371241,88501737,88821193,89039480,89170656,89239142,89288173,89314068,89799721,89864382,90284222,90617588,90685236,90699721,91250276,91351215,91443660,91510004,91512262,91691096,91885321,91892486,91938627,91963050,92067033,92127992,92269686,92302177,92362737,92631240,92835277,93224720,93248257,93543393,93552217,94476404,94803111,94879126,95045986,95307897,95540286,95958685,96187233,96377857,96727033,96846985,97441296,97539904,97646377,97714686,97756886,97797502,98093920,98211997,98806656,98813577,99198673,99211921,99269592,99412196,99447416,99505885,99918686,...,437683251869962842722360185590643707239440630835876168808962415325031013535177659384983984882525937898186997538750047830056968769750572154434976121146640859028609256297957262069929012205626954336592021597429671423904309107982977294775610597815225532861373512827437350937071438584949714940530241370677531764077480007180444677203190975193766463634024657737832654189799671050519735381280441574160329422450534469270151916595566790542155498002477804421747612201088933093298289515785606810558528448189098038079785552121397830149360819478966558830557488198558548032763356104297691139994998097962425659793769547759284459965622359053716320763495554527742525997397300906227973580760367916697365364260298479995045025827270198968028326617388814414989574194282117058863009710405224289160685421453226103190105676056086167538494794748926575143506711987453238254601274140787242118194194421095279272860510998413153745448558397441067898607683170923286949916825502770754065987720683897219254696595288174275515562207663021908450614472216695058421387912967707373878913499964624244115731349966008087301652080219194056941924813269820500460086443111069176296088554242342814048384904245988951554972512654951056723155478441356446591859314524963545060479315413828452580750026479705226897183232451982481727576729331703535523680021613297034414381804732947833822127870540342027995655582426538637152831188218281825467882596917045048147547285532379060583892681645275076913336480407064185533005865369530671446094670305095903626074214691279794035842044843980179374892785202698699089153651107795387648996044637789018714524943534718646576579544043161930755355543882557181213201413981987308360304465844045905196047047575965025821408204315117686421740801573351047717328746965327929857782842853851916842407375243060925126106095609076557095677213516998477809128027829745855162349881720491784119187280498734022658706741279848583972550285031042857079277963944922192875796044093111768587511613498588946992279475643770269319231318545458887814861490584363179589664047185166703725082547835644503408471243235188636855576160242462342090014225160269972598537706551780952696049160951274416361770157557365098157696550497858409079277019723390390861259300840180528707609852203236281511251292709057133205985800160808233386226030110975114959499253342278594997906421890506201811990774710595566267334032413595184835046337079790083241941782346733090663818908598236676524645914345891744331145538683708353328492426970499760916538866363909707494350376685489693184771356849045711313201565471329072836823621584573997075706696877991468835371344341244013589739138977113171993191962707836990950602969646402721683660563004728192841466690581764360338823552098309165367369023436341202472573089467578895617624375205262939668000543824085814129051320097412133784588326229232497072240685430084911016406702556771409480657241523153699648340806905073579979311603933912639365363009070717792082917716007343624635636118394972194938208244376826482075296780676301163258585845378111566936832288186642983454438937218789741834939801178641993324860163705499801059269841369226840013055654589414113798773173866492645713709770529127201052374}
19824 150381099281629342616908254767125283776530159756257837269072638586685525: {99095,118914,217943,455423,554764,613583,792520,891585,929519,951024,1069902,1147994,1205543,1402463,1441823,1504876,1913519,2109719,2332034,2501519,2692936,2697119,2804642,3029553,3204743,3276674,3401644,4448519,4454234,4719503,4821196,5293804,5298863,5405673,5491583,5530103,5722583,6183719,6435325,6486856,6758519,6828585,6873263,7140719,7283824,7297713,7445903,7623385,7712519,7722390,7788623,8123404,8168663,8194302,8237216,8396303,8585783,9148062,9266868,9326248,9360674,9492503,9824642,10094423,10288034,10492029,10519514,10586536,10731719,10890550,10942636,10982042,11103873,11292119,11403983,11776343,11850719,11909853,12296303,12333383,12475048,12666743,13068660,13073303,13162345,13583486,13745114,13939904,13974434,14034429,14177183,14323823,14726423,14982119,15118874,15366729,15419543,15575642,15637823,15682392,15711585,15794814,15931336,16259714,16487569,16549996,16616519,16715042,16725085,16759024,17157719,17169794,17186248,17229743,17396954,17480524,17642691,17922753,18293725,18803350,18853902,19197863,19334529,19375583,19404980,19434914,19730423,19812793,20070102,20111642,20472983,20631976,21001223,21527663,21570376,21653644,21685634,21702743,21952470,22122119,22564020,22887983,22992119,23210973,23285976,23415968,23553670,23788103,23910393,24068288,24098423,24132863,24201719,24266673,24422764,24442463,24590042,24694216,25230719,25256834,25303593,25333223,25469783,25803436,26143874,26184623,26196723,26252519,26263084,26335545,26342964,26693063,26807642,26997263,27076824,27181516,27199703,27670943,27721400,27780993,27872423,28091248,28264404,28303990,28351394,28608719,28675463,29014924,29175023,29274719,29374343,29472556,30123325,30461427,30652413,30695783,30761519,30763034,30843724,31186575,31199642,31580519,31602654,31632945,32069519,32167103,32621543,32723234,33203519,33265680,33525719,33529342,33578284,33648100,33719785,33741808,33964788,34033036,34071623,34263743,34455842,34583303,35220023,35442119,35483392,35600519,35916719,35964314,36147990,36640943,36652945,37017119,37037474,37126875,37279645,37392143,37423890,37660684,37744456,37859303,37890383,37959534,38320514,38455197,38557856,39385754,39434183,39556823,39602000,39893423,39918816,40163529,40377720,40463742,40789945,40806503,40871042,40927703,41018519,41169719,41294114,41324433,41505434,41531783,41712383,42162623,42168385,42169324,42372119,42431903,42462513,42521519,42909023,42980642,43069568,43212745,43302856,43354463,43377588,43768583,43964716,43983534,44162041,44552250,44679983,44735574,44908668,45030719,45089063,45263903,45424935,45514189,45612719,45701594,46047119,46202476,46248477,46335719,46649164,46680983,47095564,47339519,47522400,47539103,47571074,47624519,47709863,47813725,47899060,48191642,48192119,48276983,48429309,48453264,48531143,48533416,48715713,48810914,48897119,48947934,49037519,49121663,49454536,49820063,49862049,50250842,50432564,50433145,50485823,50602062,50690560,50982119,51311543,51612503,51855294,51887834,52130063,52361350,52505229,52698743,52752719,53075903,53312642,53386953,53424719,53462700,53478263,53878823,53958719,54032253,54051496,54129649,54144863,54326042,54357448,54509922,54600093,54730394,54938183,55095983,55148519,55237585,55335842,55463063,55489223,55636353,55724303,55932719,55963084,56010743,56403436,56632343,56658143,56743514,56965197,57018503,57026880,57100141,57283276,57344642,57376470,57478872,57861719,58039463,58271350,58317983,58494719,58600876,58796783,58872119,59621519,59993519,60067703,60082526,60240550,60363745,60412943,60463048,60486719,60519774,60807933,60828672,61152129,61171823,61201568,61293503,61512023,61536263,61665196,61681096,62235743,62289736,62307719,62379623,62506225,62618783,62666519,62696474,62833620,63088630,63307823,63378719,63543863,63614519,63896423,63966719,64052493,64155240,64363703,64386983,64663731,65020270,65046553,65081663,65127719,65357519,65435293,65690097,65814719,66087503,66110183,66285102,66449423,66562103,66719519,66846376,67022528,67055519,67389719,67456343,67567223,67832519,67970073,68020929,68049085,68059048,68118623,68135642,68315903,68381519,68425223,68432256,68442585,68519834,68556143,68616364,68671981,68851764,68882183,69095042,69141719,69391233,69464519,69466945,69614543,69849503,69925620,69934703,69998519,70075953,70183545,70267681,70422119,70451817,70569623,70695743,71050945,71114063,71322023,71425703,71507821,71611823,72043583,72046520,72047350,72174645,72219145,72288660,72436494,72519074,72896519,73005424,73450113,73457303,73497119,73695719,73735753,73854023,74051183,74149463,74227943,74302189,74587328,74862448,74870519,74967119,75007470,75102023,75159719,75202173,75399945,75400344,75706356,75710042,75732719,75770663,76016519,76082714,76335983,76354703,76566429,76615943,76727423,76801583,76961305,76986288,77107904,77121448,77136585,77328070,77627884,77772119,77826383,77909545,77937434,78006743,78024324,78042719,78222119,78578519,78626248,78631703,78790823,78808463,78859394,78966863,79054583,79420823,79490183,79754764,80007968,80057519,80091623,80229709,80357469,80426608,80611993,80649719,80817119,80850503,80867183,81052335,81265103,81445943,81560519,81571630,81603674,81658902,81785474,81804719,81837143,82131102,82148642,82175663,82279024,82335623,83278583,83360334,83463719,83509823,83724023,83740449,83815343,83910744,83951783,83966903,84042383,84074545,84220254,84408556,84446519,84550343,84815519,84825387,84888719,84990863,85107119,85208423,85261134,85280543,85347416,85467119,85638143,85680719,85723223,85832180,85963345,86102519,86455824,86456820,86609574,86662974,86746392,86761629,86860893,87016489,87324719,87522119,87527042,87621448,87626663,87678743,87756623,87950063,88197145,88318943,88444583,88454529,88507103,88705823,88816703,88816705,88914719,89000063,89072903,89217719,89277719,89291042,89598263,89668703,89773823,90008964,90016583,90237385,90308776,90357263,90458063,90479934,90491519,90517274,90767519,90822119,90952343,90963143,91016529,91145519,91336103,91388834,91409519,91461719,91534463,91596503,91689023,91948684,91992743,92097448,92102303,92191223,92220608,92318519,92337983,92353566,92429954,92540423,92563902,92654519,92720543,92776823,92793684,92823503,92886100,92999063,93270383,93288616,93293594,93429719,93456023,93473519,93478990,93491454,93586463,93858719,94008263,94130903,94203623,94307519,94347119,94399587,94565183,94633943,94656719,94855756,94895183,94938983,95010074,95047223,95132519,95202719,95259073,95285903,95351642,95421983,95442119,95561423,95639519,95817263,95891519,95922119,96015843,96054383,96097324,96290543,96357119,96404161,96427943,96454823,96476183,96490875,96510604,96542594,96596519,96642573,96647519,96673137,96687743,96761783,96795719,96852983,96867119,96876503,96904463,97057463,97079183,97092119,97155719,97197119,97262802,97289303,97304903,97347143,97362263,97479993,97492583,97539841,97557794,97573703,97589691,97640903,97647119,97677719,97678585,97683743,97701623,97778519,97818719,97864583,97885956,97886543,97900823,97917119,97955063,97976303,97982519,98018303,98049719,98070503,98086943,98094863,98102830,98117423,98151023,98158343,98160844,98168783,98175383,98184743,98211263,98215703,98232119,98238719,98244023,98244719,98246903,98247623,98574129,98637133,99238274,99543777,99952958,...,656524877804944264083540278385965560859160946253814253213443622987546520302766489077475977323788906847280496308125071745085453154625858231652464181719961288542913884446935893104893518308440431504888032396144507135856463661974465942163415896722838299292060269241156026405607157877424572410795362056016297646116220010770667015804786462790649695451036986606748981284699506575779603071920662361240494133675801703905227874893350185813233247003716706632621418301633399639947434273678410215837792672283647057119678328182096745224041229218449838245836232297837822049145034156446536709992497146943638489690654321638926689948433538580574481145243331791613788996095951359341960371140551875046048046390447719992567538740905298452042489926083221622484361291423175588294514565607836433741028132179839154785158514084129251307742192123389862715260067981179857381901911211180863177291291631642918909290766497619730618172837596161601847911524756384930424875238254156131098981581025845828882044892932261413273343311494532862675921708325042587632081869451561060818370249946936366173597024949012130952478120328791085412887219904730750690129664666603764444132831363514221072577356368983427332458768982426585084733217662034669887788971787445317590718973120742678871125039719557840345774848677973722591365093997555303285520032419945551621572707099421750733191805810513041993483373639807955729246782327422738201823895375567572221320928298568590875839022467912615370004720610596278299508798054296007169142005457643855439111322036919691053763067265970269062339177804048048633730476661693081473494066956683528071787415302077969864869316064742896133033315823835771819802120972980962540456698766068857794070571363947538732112306472676529632611202360026571575993120447991894786674264280777875263611062864591387689159143413614835643515820275497716713692041744618782743524822580737676178780920748101033988060111919772875958825427546564285618916945917383289313694066139667652881267420247883420488419213465655403978846977818188331722292235876544769384496070777750055587623821753466755112706864852782955283364240363693513135021337740404958897806559827671429044073741426911624542655236336047647236544825746787613618915529585085586291888951260270793061414778304854422266876939063585699808978700241212350079339045166462672439248880013417892496859632835759302717986162065893349401001048620392777252569505619685124862912673520099635995728362897355014786968871518837616496718308025562529992738640455749641374808299545864561241525565028234539777157035273568566969802348206993609255235432376860995613560045316987203253057016511866020384608708465669757989787944061755486425904454469604082525490844507092289262200035872646540508235328147463748051053535154511803708859634201368343426436562807894409502000815736128721193576980146118200676882489343848745608361028145127366524610053835157114220985862284730549472511210357610369968967405900868959048044513606076688124376574011015436953454177592458292407312366565239723112945171014451744887878768067167350405248432279964475181658405828184612752409701767962989987290245558249701588904762053840260019583481884121170698159760799738968570564655793690801578561}
19825 150966584111318806972266976415142508089170829085685834513699590692004224: {158552,178371,693455,832146,990650,1188780,1268032,1426536,1604853,1721991,1881095,2257314,2356319,2831543,3366170,3498051,4039404,4206963,4252055,4791842,4888871,4915011,5102466,5675999,6026495,6373346,6617255,6681351,7207564,7231794,7940706,8049239,8108570,8160467,8273474,8748506,9104780,9263219,9730284,10154255,10296520,10422479,10897127,10915667,10925736,11583585,11657810,12185106,12197416,12291453,12355824,13233170,13254263,13613951,13678295,13722093,13900302,13939919,13989372,14041011,14664146,14736963,14805164,15037967,15150551,15432051,15593810,15662543,15779271,15879804,16146371,16335825,16413954,16473063,17424880,17644787,18052979,18712572,18732311,18874079,18992243,19500122,19541651,19602990,19891271,19914170,20375229,20488972,20617671,20687495,20909856,20924066,20948780,20961651,21038039,21059752,21201407,21482810,21607439,21850655,22678311,23038994,23363463,23523588,23692221,23897004,24150386,24256225,24389571,24579842,24631991,24824994,25072563,25106063,25127747,25138536,25639394,25754691,25779372,25789970,26095431,26220786,26328083,26390351,26505842,26760136,26962970,27039119,27067055,27502739,28205025,28280853,28893506,28937831,29107470,29152371,29269960,29524082,29610227,30085360,30105153,30167463,30298034,30528455,30790754,30867770,30947964,31047968,31574882,31700834,31880524,32254295,32355564,32480466,32528451,32828855,32928705,33026399,33341447,33516743,33636626,33738124,33846030,33976895,34651750,34928964,35114060,35123952,35330505,35533874,35594906,36102432,36268655,36323687,36438194,36497411,36502247,36634146,36840695,36885063,37041324,37265474,37685872,37885251,37889999,38554655,38594543,38705154,39215811,39394626,39514446,39778514,40048067,40211463,40615236,40772274,40792487,40869884,40972979,41582100,41972855,42060125,42136872,42177260,42396606,42455985,42466739,42491279,42527091,42541295,42570866,42705986,43272719,43522386,44208834,44354240,44523839,44660594,44965442,45171647,45286384,45498563,46144551,46265586,46666931,46799463,46972634,47075855,47180570,47295059,47403981,47562767,48197320,48971714,49084851,49258994,49502500,49898520,50207042,50294013,50367426,50472150,50612712,50947182,51049554,51273596,51683763,51755834,51796559,52711655,52905167,52986722,53225088,53551372,53836960,53946471,53951656,53970959,54128570,54162599,54221985,54503519,54955895,55099244,55387634,55413287,55556211,56135835,56491026,56528639,56616684,56720642,56939301,57480771,57609407,57753095,57836784,57869786,58257683,58298591,58311455,58490579,58644712,58869455,59078631,59228879,59403000,59551667,59647432,59663642,59873825,59878224,60566580,60666770,60695613,60800003,61306563,61315943,61664636,61818170,61866551,61941171,62230607,62258151,63040705,63253986,63363200,63879746,64470963,64572412,64604352,64862354,64868807,64954284,65000282,65066382,65263912,65301779,65313842,65504642,65875139,65947074,65975301,66243266,66337247,66482732,66828375,67103361,67141943,67363002,67469416,67481267,67564370,67946810,68341871,68552391,68652242,68797967,68842943,68942543,69140392,69303714,69599714,69953855,69973746,70006972,70294439,70305731,70373282,70504295,70643346,70937603,71182604,71283600,71346743,71356611,71604095,71664962,71848590,71994146,72043004,72201239,72287463,72679896,72800124,72997082,73142387,73216371,73251095,73396487,73421901,73570319,74181804,74678989,75279506,75376263,75578810,75648846,75903093,75953596,76035840,76166714,76215431,76501960,76638496,76659122,76668767,77081495,77101370,77782941,77831751,77862170,77870147,77917079,78295199,78507539,78542025,78842543,79020179,79766423,79968963,80088002,80194050,80501639,80585267,80693032,81077244,81104896,81489063,81536172,81627539,81764883,82095591,82973171,83003763,83112863,83557970,83778160,83944626,84605154,84794039,85073810,85115271,85179527,85403324,85474583,85540320,85770455,85924914,86016963,86064705,86128082,86218308,87044351,87407025,87586796,87901314,88303631,88380136,88639439,89722931,89725679,89915666,90058150,90123789,90360825,90626764,90694572,90709199,90779661,91243008,91256780,91521554,91761107,91802352,91971479,92311703,92387039,92497794,92521644,93234160,93324386,93434604,93578060,93651059,93935756,94044711,94250430,94580402,94632945,95746391,96186146,96232860,96384880,96401810,96581992,96736991,97034855,97530405,97656371,97790882,97933484,98222111,98282810,98659154,98695667,99427653,99644903,99693455,...,875366503739925685444720371181287414478881261671752337617924830650062027070355318769967969765051875796373995077500095660113937539501144308869952242293281718057218512595914524139858024411253908673184043194859342847808618215965954589551221195630451065722747025654874701874142877169899429881060482741355063528154960014360889354406381950387532927268049315475665308379599342101039470762560883148320658844901068938540303833191133581084310996004955608843495224402177866186596579031571213621117056896378196076159571104242795660298721638957933117661114976397117096065526712208595382279989996195924851319587539095518568919931244718107432641526991109055485051994794601812455947161520735833394730728520596959990090051654540397936056653234777628829979148388564234117726019420810448578321370842906452206380211352112172335076989589497853150287013423974906476509202548281574484236388388842190558545721021996826307490897116794882135797215366341846573899833651005541508131975441367794438509393190576348551031124415326043816901228944433390116842775825935414747757826999929248488231462699932016174603304160438388113883849626539641000920172886222138352592177108484685628096769808491977903109945025309902113446310956882712893183718629049927090120958630827656905161500052959410453794366464903964963455153458663407071047360043226594068828763609465895667644255741080684055991311164853077274305662376436563650935765193834090096295094571064758121167785363290550153826672960814128371066011730739061342892189340610191807252148429382559588071684089687960358749785570405397398178307302215590775297992089275578037429049887069437293153159088086323861510711087765114362426402827963974616720608931688091810392094095151930051642816408630235372843481603146702095434657493930655859715565685707703833684814750486121850252212191218153114191354427033996955618256055659491710324699763440983568238374560997468045317413482559697167945100570062085714158555927889844385751592088186223537175023226997177893984558951287540538638462637090917775629722981168726359179328094370333407450165095671289006816942486470377273711152320484924684180028450320539945197075413103561905392098321902548832723540315114730196315393100995716818158554039446780781722518601680361057415219704406472563022502585418114266411971600321616466772452060221950229918998506684557189995812843781012403623981549421191132534668064827190369670092674159580166483883564693466181327637817196473353049291828691783488662291077367416706656984853940999521833077732727819414988700753370979386369542713698091422626403130942658145673647243169147994151413393755982937670742688682488027179478277954226343986383925415673981901205939292805443367321126009456385682933381163528720677647104196618330734738046872682404945146178935157791235248750410525879336001087648171628258102640194824267569176652458464994144481370860169822032813405113542818961314483046307399296681613810147159958623207867825278730726018141435584165835432014687249271272236789944389876416488753652964150593561352602326517171690756223133873664576373285966908877874437579483669879602357283986649720327410999602118539682738453680026111309178828227597546347732985291427419541058254402104748}
19826 151554332338493364721317685380680267302651777200675396930645766100335705: {138733,198190,237828,257569,435886,910846,1109528,1227166,1248219,1323853,1441969,1485975,1585040,1783170,1859038,1902048,2139804,2149153,2295988,2411086,2501773,2736493,2804926,2883646,3009752,3385971,3827038,4219438,4371469,4487713,4664068,5003038,5049255,5385872,5394238,5530669,5609284,6059106,6409486,6553348,6567793,6797473,6803288,7187763,7370413,7653699,7713313,7941553,8510893,8897038,8908468,9009455,9439006,9560019,9642392,10587608,10597726,10672739,10811346,10847691,10983166,11060206,11106673,11380975,11445166,11665933,11777569,11889133,11911059,12162855,12334669,12367438,12410211,12870650,12973712,13122759,13517038,13657170,13746526,14105293,14281438,14435233,14567648,14595426,14891806,15246770,15425038,15444780,15577246,16183969,16246808,16337326,16388604,16474432,16792606,17159533,17171566,17486715,18236653,18277659,18296124,18427283,18506455,18533736,18652496,18721348,18985006,19413169,19519693,19649284,19849755,20051233,20188846,20576068,20850453,20984058,21039028,21173072,21463438,21781100,21885272,21964084,21996219,22207746,22584238,22807966,23390715,23415119,23552686,23701438,23819706,24135469,24592606,24620931,24666766,24950096,25333486,25611215,25779373,26137320,26146606,26185975,26289313,26324690,26344483,26594413,26797453,27166972,27490228,27879808,27948868,28068858,28354366,28647646,29111713,29250183,29311153,29404485,29452846,29609773,29871255,29964238,30106033,30237748,30699169,30733458,30797773,30839086,31151284,31275646,31364784,31386099,31423170,31589628,31862672,32073073,32170669,32224215,32519428,32975138,33099992,33233038,33430084,33450170,33518048,33529453,34315438,34339588,34372496,34459486,34558491,34793908,34961048,35285382,35446093,35636173,35845506,36225579,36587450,36869763,37052593,37237491,37427569,37606700,37707804,37894669,38395726,38459091,38669058,38684955,38751166,38809960,38823469,38869828,39331179,39460846,39625586,39758763,39850655,40111693,40140204,40223284,40444455,40945966,41263952,41476273,41566669,42002446,42172655,42376993,42824653,43055326,43140752,43307288,43340259,43371268,43405486,43661205,43892575,43904940,44244238,44286123,45035953,45128040,45447051,45647053,45775966,45984238,46081393,46186131,46301655,46421946,46513933,46571952,46831936,46944673,47107340,47207699,47362323,47551251,47576206,47630113,47820786,48136576,48141169,48196846,48265726,48403438,48533346,48720699,48845528,48884926,49180084,49388432,50454939,50461438,50513668,50607186,50666446,50769045,50939566,51087355,51314123,51399853,51564013,51606872,51977625,52191503,52287748,52369246,52393446,52505038,52526168,52671090,52685928,52721575,52786033,53300811,53386126,53392359,53615284,53911969,53991853,53994526,54153648,54363032,54399406,54628333,54657291,54951219,55341886,55442800,55495969,55561986,55744846,55898211,56182496,56528808,56587633,56607980,56665069,56702788,57105923,57217438,57350926,57894253,58029848,58057731,58350046,58549438,58748686,58879393,58945112,58954669,59035739,59091939,59271669,59667771,60149293,60246650,60497843,60518833,60813169,60922854,61158411,61304826,61391566,61523038,61526068,61543969,61687448,61878125,61978993,62195533,62339533,62373150,62399284,62912653,63161038,63205308,63265890,63339469,63594909,63856299,64058979,64091995,64139038,64334206,64395169,64464973,65159053,65243086,65283579,65365873,65446468,65845933,66118669,66313251,66407038,66531360,66939215,66990891,67051438,67058684,67156568,67296200,67439570,67448163,67483616,67929576,68066072,68143246,68527486,68874055,68911684,69042733,69107569,69166606,69172333,69398379,69495073,69687853,70440046,70452493,70458951,70606403,70770855,70884238,70966784,71201038,71833438,71928628,72257569,72295980,73167469,73281886,73305890,73457571,73705633,73888491,74034238,74074948,74120173,74253750,74559290,74706253,74784286,74847780,75227569,75310563,75321368,75488912,75551139,75708225,75718606,75780766,75919068,76026913,76365169,76420773,76574331,76641028,76873199,76910394,77080795,77115712,77199469,77332619,77419213,77633751,77963533,78071533,78232993,78534467,78607213,78771508,78819469,78868366,79113646,79204000,79480083,79786846,79837632,80119969,80327058,80374669,80715515,80755440,80878669,80927484,81192855,81572173,81579890,81613006,81742084,81855406,82037038,82339438,82347469,82585969,82588228,82648866,83010868,83043623,83063566,83081451,83103415,83244193,83424766,83475853,83979169,84325246,84336770,84338648,84473773,84509243,84695713,84736539,84744238,84863806,84925026,85043038,85080963,85818046,85961284,86115373,86139136,86425490,86605712,86708926,86755176,86804679,86816113,87138673,87337933,87508715,87537166,87808813,87929432,87967068,88155169,88324082,88345069,88533169,88719469,88978255,89104500,89231533,89359966,89471148,89495463,89764513,89817336,89938573,90053755,90061438,90178126,90179233,90516913,90527806,90849870,90945133,90977569,91000155,91028378,91106593,91138669,91225438,91403188,91486753,91795633,91917169,92037553,92094238,92404952,92496954,92622193,92671438,92679073,92727255,92791969,93232033,93298328,93361966,93445153,93601969,93756193,94081453,94105969,94191128,94465069,94581169,94679038,94880979,94941995,95044800,95078206,95142148,95249038,95268719,95363953,95419726,95445169,95627450,95758513,95798120,95819619,95944993,96106669,96346573,96379693,96383284,96384238,96553966,96618913,96739873,96813133,96827569,96858618,96906528,96981613,97062286,97066832,97114093,97214893,97253723,97287469,97293531,97431426,97500423,97599573,97611469,97621828,97740493,97757773,97794238,97895868,97949473,97970763,98001313,98044243,98075038,98197873,98235169,98243326,98251693,98256963,98258353,98264653,98909072,98920611,99364899,99471323,99640126,99724098,...,1313049755609888528167080556771931121718321892507628506426887245975093040605532978154951954647577813694560992616250143490170906309251716463304928363439922577085827768893871786209787036616880863009776064792289014271712927323948931884326831793445676598584120538482312052811214315754849144821590724112032595292232440021541334031609572925581299390902073973213497962569399013151559206143841324722480988267351603407810455749786700371626466494007433413265242836603266799279894868547356820431675585344567294114239356656364193490448082458436899676491672464595675644098290068312893073419984994293887276979381308643277853379896867077161148962290486663583227577992191902718683920742281103750092096092780895439985135077481810596904084979852166443244968722582846351176589029131215672867482056264359678309570317028168258502615484384246779725430520135962359714763803822422361726354582583263285837818581532995239461236345675192323203695823049512769860849750476508312262197963162051691657764089785864522826546686622989065725351843416650085175264163738903122121636740499893872732347194049898024261904956240657582170825774439809461501380259329333207528888265662727028442145154712737966854664917537964853170169466435324069339775577943574890635181437946241485357742250079439115680691549697355947445182730187995110606571040064839891103243145414198843501466383611621026083986966747279615911458493564654845476403647790751135144442641856597137181751678044935825230740009441221192556599017596108592014338284010915287710878222644073839382107526134531940538124678355608096097267460953323386162946988133913367056143574830604155939729738632129485792266066631647671543639604241945961925080913397532137715588141142727895077464224612945353059265222404720053143151986240895983789573348528561555750527222125729182775378318286827229671287031640550995433427384083489237565487049645161475352357561841496202067976120223839545751917650855093128571237833891834766578627388132279335305762534840495766840976838426931310807957693955636376663444584471753089538768992141555500111175247643506933510225413729705565910566728480727387026270042675480809917795613119655342858088147482853823249085310472672095294473089651493575227237831059170171172583777902520541586122829556609708844533753878127171399617957400482424700158678090332925344878497760026835784993719265671518605435972324131786698802002097240785554505139011239370249725825347040199271991456725794710029573937743037675232993436616051125059985477280911499282749616599091729122483051130056469079554314070547137133939604696413987218510470864753721991227120090633974406506114033023732040769217416931339515979575888123510972851808908939208165050981689014184578524400071745293081016470656294927496102107070309023607417719268402736686852873125615788819004001631472257442387153960292236401353764978687697491216722056290254733049220107670314228441971724569461098945022420715220739937934811801737918096089027212153376248753148022030873906908355184916584814624733130479446225890342028903489775757536134334700810496864559928950363316811656369225504819403535925979974580491116499403177809524107680520039166963768242341396319521599477937141129311587381603157122}
19827 152144352651272529223243000256592888617658052078485014686937650630784988: {297285,317104,356742,653829,970837,1366269,1386910,1664292,1840749,1981300,2377560,2536064,2633533,2674755,2788557,2853072,2869985,3209706,3346369,3443982,3616629,3762190,4207389,4325469,4514628,4712638,5007629,5663086,5720177,5740557,5830085,5952877,6329157,6732340,6996102,7011605,7504557,8078808,8091357,8191685,8413926,8437093,8504110,9088659,9264157,9512737,9583684,9614229,9777742,9830022,10204932,11135585,11351998,11521829,11648653,12052990,12746692,13234510,13345557,13362702,14158509,14215957,14415128,14463588,15664129,15790637,15881412,15896589,16098478,16217019,16217140,16320934,16474749,16546948,16590309,17167749,17497012,18209560,18526438,18551157,18636509,19149613,19305975,19312733,19460568,19810253,20275557,20308510,20485755,20593040,20619789,20844958,21422157,21794254,21831334,21851472,21893139,22337709,22663573,22870155,23137557,23167170,23197493,23315620,23365869,23401685,23824973,24076469,24370212,24394832,24505989,24561605,24582906,24711648,24863137,25188909,25720085,25757349,26298785,26330749,26466340,26508526,26920613,27041857,27226375,27227902,27356590,27444186,27455105,27800604,27834797,27879838,27978744,28082022,28477509,28962493,29328292,29473926,29610328,30075934,30283269,30301102,30590917,30864102,31187620,31325086,31476087,31558542,31759608,32195157,32292742,32503237,32671650,32827908,32946126,33311619,33773429,33840353,33876357,33958715,34211949,34362785,34849760,34936085,35289574,35329029,35552157,35729559,36105958,36888909,37000149,37425144,37464622,37748158,37797185,37837937,37893877,37984486,38000229,38037053,38939105,39000244,39083302,39205980,39219909,39487035,39782542,39828340,40617893,40649285,40750458,40796629,40977944,41235342,41374990,41787605,41819712,41848132,41897560,41923302,42076078,42103287,42119504,42402814,42531549,42739837,42924485,42965620,42971469,43214878,43492385,43701310,44179269,44946357,45156013,45356622,45960397,46077988,46100187,46258629,46726926,46913469,47008375,47047176,47134755,47384442,47490253,47567653,47719613,47794008,48286933,48300772,48474317,48512450,48587285,48779142,49139957,49159684,49263982,49462707,49649988,49801313,49849557,50145126,50175255,50191229,50212126,50255494,50277072,50279105,50776117,50868929,51278788,51467933,51473157,51509382,51558744,51576973,51579940,51689229,52190862,52441572,52656166,52780702,52928073,53011684,53255617,53520272,53768259,53771029,53925940,53976517,54078238,54134110,54214085,54881175,55005478,55293293,56410050,56561706,56566829,56804677,57593589,57692513,57787012,57875662,58003587,58126749,58214940,58304742,58539920,58761997,58884175,59048164,59191269,59220454,59234893,59438379,59557813,60170720,60210306,60334926,60596068,61056910,61418949,61475105,61581508,61735540,61895928,62095936,63003669,63142085,63149764,63401668,63761048,64508590,64582989,64711128,64960932,65056902,65108229,65359685,65657710,65768933,65857410,65906197,66052798,66366357,66522373,66682894,67019105,67033486,67273252,67476248,67692060,67953790,68607029,68663949,68849989,68976357,69303500,69632919,69857928,70228120,70247904,70661010,70759975,70878485,71067748,71189812,71364309,71731179,71854549,71874353,72204864,72295269,72398589,72537310,72605157,72647374,72800019,72876388,72994822,73004494,73268292,73327389,73681390,73770126,73796317,74082648,74141629,74313173,74530948,75027157,75371744,75570797,75574829,75692157,75770502,75779998,75910779,75999669,76409349,76835693,76837997,76907585,76938253,77109310,77189086,77410308,77544497,77852437,77999105,78113153,78431622,78553869,78564373,78590169,78757557,78789252,79006635,79028892,79349569,79373473,79516973,79557028,80079189,80096134,80422926,80509813,80854333,80991789,81230472,81544548,81584974,81599109,81636037,81739768,81808085,81871229,81945958,82114477,82417237,82510733,83012829,83128133,83164200,83342979,83458253,83617269,83823355,83835349,83945710,84120250,84273744,84354520,84793212,84911970,84933478,84982558,85054182,85082590,85141732,85328737,85411972,85427057,85826157,86026389,86139605,86545438,87044772,87167149,87525069,87824157,88123029,88256987,88417668,88708480,89047678,89321188,89360993,89910785,89930884,90343294,90369975,90572768,90997126,91384281,91957239,92087349,92284557,92289102,92531172,92593685,92781637,93333862,93559725,93598926,93945268,94151710,94269409,94361140,94404629,94590118,94741557,94807962,94871653,94898835,95125534,95801285,96208557,96289117,96394640,96501309,97864629,97935397,97943428,98169702,98464385,98517988,98706013,99005000,99610557,99797040,...,1969574633414832792250620835157896682577482838761442759640330868962639560908299467232427931971366720541841488924375215235256359463877574694957392545159883865628741653340807679314680554925321294514664097188433521407569390985923397826490247690168514897876180807723468079216821473632273717232386086168048892938348660032312001047414359388371949086353110959820246943854098519727338809215761987083721482401027405111715683624680050557439699741011150119897864254904900198919842302821035230647513378016850941171359034984546290235672123687655349514737508696893513466147435102469339610129977491440830915469071962964916780069845300615741723443435729995374841366988287854078025881113421655625138144139171343159977702616222715895356127469778249664867453083874269526764883543696823509301223084396539517464355475542252387753923226576370169588145780203943539572145705733633542589531873874894928756727872299492859191854518512788484805543734574269154791274625714762468393296944743077537486646134678796784239820029934483598588027765124975127762896245608354683182455110749840809098520791074847036392857434360986373256238661659714192252070388993999811293332398494090542663217732069106950281997376306947279755254199652986104009663366915362335952772156919362228036613375119158673521037324546033921167774095281992665909856560097259836654864718121298265252199575417431539125980450120919423867187740346982268214605471686126702716663962784895705772627517067403737846110014161831788834898526394162888021507426016372931566317333966110759073161289201797910807187017533412144145901191429985079244420482200870050584215362245906233909594607948194228688399099947471507315459406362918942887621370096298206573382211714091842616196336919418029588897833607080079714727979361343975684360022792842333625790833188593774163067477430240844506930547460826493150141076125233856348230574467742213028536342762244303101964180335759318627876476282639692856856750837752149867941082198419002958643802260743650261465257640396966211936540933454564995166876707629634308153488212333250166762871465260400265338120594558348865850092721091080539405064013221214876693419679483014287132221224280734873627965709008142941709634477240362840856746588755256758875666853780812379184244334914563266800630817190757099426936100723637050238017135499388017317746640040253677490578898507277908153958486197680048203003145861178331757708516859055374588738020560298907987185088692065044360906614556512849490154924076687589978215921367248924124424898637593683724576695084703619331471105820705700909407044620980827765706297130582986840680135950961609759171049535598061153826125397009273969363832185266459277713363408812247576472533521276867786600107617939621524705984442391244153160605463535411126578902604105030279309688423683228506002447208386163580730940438354602030647468031546236825083084435382099573830161505471342662957586854191648417533631072831109906902217702606877144133540818230064373129722033046310860362532777374877221937099695719169338835513043355234663636304201502051215745296839893425544975217484553838257229105303888969961870736674749104766714286161520780058750445652363512094479282399216905711693967381072404735683}
19828 152736653770889507793131891451190559471755953698969707049144102224039017: {277466,396380,475656,515138,535113,871772,1756771,1821692,1992427,2080365,2219056,2454332,2476625,2496438,2580307,2647706,2883938,2971950,3170080,3283387,3566340,3718076,3804096,4279608,4298306,4591976,4814559,4822172,4913827,5003546,5029747,5165973,5261371,5472986,5609852,5643285,5767292,6019504,6771942,6989371,7068957,7654076,7790227,8415425,8438876,8494629,8701171,8742938,8975426,9328136,9833371,10006076,10098510,10494153,10771744,10788476,10958371,11061338,11218568,11853187,11979605,12118212,12410107,12613237,12620889,12756165,12818972,13106696,13135586,13594946,13606576,14375526,14666613,14740826,14745033,15167707,15307398,15426626,15713827,15883106,15933365,16692307,17021786,17027997,17233387,17557171,17794076,17816936,18018910,18079485,18878012,19120038,19284784,19379707,19851765,20044053,20271425,20547907,20683685,20759371,21175216,21195452,21345478,21622692,21695382,21871265,21966332,22120412,22213346,22761950,22890332,23331866,23555138,23778266,23822118,23896771,24147717,24206947,24325710,24481401,24669338,24734876,24820422,25236187,25741300,25909037,25947424,26245518,26258227,27034076,27273067,27314340,27475171,27493052,27789657,28210586,28481371,28562876,28681747,28870466,29135296,29144525,29190852,29778667,29783612,30462765,30493540,30768307,30850076,30889560,30965371,31134389,31154492,31267437,32239267,32367938,32493616,32674652,32691381,32747001,32777208,32948864,33082925,33210907,33585212,33597547,33886771,34175347,34319066,34343132,34750755,34973430,35855701,36271771,36473306,36555318,36592248,36660365,36854566,36874359,36931507,37012910,37067472,37213171,37304992,37442696,37970012,38826338,38984525,39039386,39298568,39699510,39762789,40102466,40377692,40451371,40841853,40906771,41034885,41088427,41152136,41166279,41179147,41700906,41819757,41968116,41992387,42078056,42123033,42346144,42441667,42926876,42978427,43562200,43770544,43928168,43992438,44210889,44415492,45099547,45113901,45168476,45451653,45615932,46296153,46404187,46663171,46781430,46830238,46987629,47105372,47337813,47402876,47639412,47692627,48270938,48439113,48750305,49007475,49049107,49185212,49241862,49333532,49419189,49469227,49636771,49785425,49887547,49900192,50470171,50666972,51049267,51222430,51558746,52274640,52293212,52310165,52359667,52371950,52578626,52649380,52688966,52765387,52934361,53188826,53330371,53491147,53594906,53707025,54158937,54333944,54529171,54980456,55161907,55759616,55790917,55897736,55946347,56137716,56196933,56622237,56708732,56723587,56976729,57295292,57493627,57597485,58223426,58500366,58622306,58624953,58808970,58905692,59041717,59219546,59673813,59686027,59742510,59928476,60212066,60375965,60427987,60475496,60501787,61125687,61162747,61398338,61449605,61466916,61595546,61678172,61853013,62062485,62302568,62551292,62682307,62729568,62772198,62846340,62884953,63114117,63179256,63536371,63604221,63725344,64098485,64146146,64240171,64341338,64380067,64448430,64474925,64822317,65038856,65144347,65551965,65950276,66199984,66264605,66308371,66466076,66860168,66900340,67036096,67058906,67407425,68034933,68443027,68630876,68679176,68744992,68918972,69116982,69397493,69587816,69922096,70090389,70570764,70882171,70892186,71007667,71076663,71272346,71320147,71522297,71630827,71691012,72233765,72451158,72768675,72855547,72916027,73036771,73168713,73174900,73457107,73516867,73739526,73810205,73895973,74105186,74474982,74855138,74929507,74987467,75213400,75217689,75318189,75383241,75415608,75745085,75789338,75791347,75961771,76413067,76791452,76804171,76918182,76976885,77081371,77169425,77264073,77338116,77369910,77502332,77619920,77646938,77739307,77739656,78064387,78279667,78286293,78662358,78812827,78865747,78921692,78937205,78984249,79171053,79251172,79252085,79517526,79701310,80114227,80223386,80267371,80280408,80446568,80873467,80888910,81117357,81201165,81860587,81891932,82151107,82391227,82508217,82527904,82866067,82952546,83133338,83194171,83333707,83976307,84004892,84091565,84345310,84615075,84753986,84842559,85060877,85435171,85649306,85649371,86110652,86281504,86570467,86614576,86629375,86680518,86742536,86810972,86813493,87098371,87298171,87322410,87457113,87785150,87809880,87964027,88079371,88459171,88488476,88534267,88572246,88757827,88830681,88834685,88987265,89015371,89269387,89305387,89728793,89906371,90071906,90256080,90315459,90502389,90850867,90894102,91095485,91294106,91551932,91585365,91615507,91708171,91968476,92162786,92221027,92367907,92372262,92455171,92603310,92684707,92741371,92813461,92825827,92843892,92881771,93027866,93143904,93163685,93504427,93634747,93663872,93714901,93889346,93889987,93990067,94214680,94235227,94307371,94415398,94724646,94771771,95036587,95102502,95152412,95165107,95249347,95260226,95454907,95641572,96082171,96273152,96282338,96393692,96423677,96531452,96737371,96762885,96806876,96911467,97066692,97153171,97164401,97394371,97441398,97504171,97585353,97683667,97691056,97720387,97769852,97807147,97815427,97831771,97959067,97992547,98059867,98108467,98113507,98146771,98231227,98236771,98260171,98265787,98272267,98286667,98360168,98486565,98776864,98786115,99079197,99446285,...,2626099511219777056334161113543862243436643785015257012853774491950186081211065956309903909295155627389121985232500286980341812618503432926609856726879845154171655537787743572419574073233761726019552129584578028543425854647897863768653663586891353197168241076964624105622428631509698289643181448224065190584464880043082668063219145851162598781804147946426995925138798026303118412287682649444961976534703206815620911499573400743252932988014866826530485673206533598559789737094713640863351170689134588228478713312728386980896164916873799352983344929191351288196580136625786146839969988587774553958762617286555706759793734154322297924580973327166455155984383805437367841484562207500184192185561790879970270154963621193808169959704332886489937445165692702353178058262431345734964112528719356619140634056336517005230968768493559450861040271924719429527607644844723452709165166526571675637163065990478922472691350384646407391646099025539721699500953016624524395926324103383315528179571729045653093373245978131450703686833300170350528327477806244243273480999787745464694388099796048523809912481315164341651548879618923002760518658666415057776531325454056884290309425475933709329835075929706340338932870648138679551155887149781270362875892482970715484500158878231361383099394711894890365460375990221213142080129679782206486290828397687002932767223242052167973933494559231822916987129309690952807295581502270288885283713194274363503356089871650461480018882442385113198035192217184028676568021830575421756445288147678764215052269063881076249356711216192194534921906646772325893976267826734112287149661208311879459477264258971584532133263295343087279208483891923850161826795064275431176282285455790154928449225890706118530444809440106286303972481791967579146697057123111501054444251458365550756636573654459342574063281101990866854768166978475130974099290322950704715123682992404135952240447679091503835301710186257142475667783669533157254776264558670611525069680991533681953676853862621615915387911272753326889168943506179077537984283111000222350495287013867020450827459411131821133456961454774052540085350961619835591226239310685716176294965707646498170620945344190588946179302987150454475662118340342345167555805041083172245659113219417689067507756254342799235914800964849400317356180665850689756995520053671569987438531343037210871944648263573397604004194481571109010278022478740499451650694080398543982913451589420059147875486075350465986873232102250119970954561822998565499233198183458244966102260112938159108628141094274267879209392827974437020941729507443982454240181267948813012228066047464081538434833862679031959151776247021945703617817878416330101963378028369157048800143490586162032941312589854992204214140618047214835438536805473373705746251231577638008003262944514884774307920584472802707529957375394982433444112580509466098440215340628456883943449138922197890044841430441479875869623603475836192178054424306752497506296044061747813816710369833169629249466260958892451780684057806979551515072268669401620993729119857900726633623312738451009638807071851959949160982232998806355619048215361040078333927536484682792639043198955874282258623174763206314244}
19829 153331244451816516858720809423617392591984804572466756665655049917469808: {416199,495475,594570,634208,713484,772707,1089715,1307658,1941674,2277115,2732538,2773820,3067915,3328584,3681498,3702787,3744657,3962600,3971559,4017979,4325907,4457925,4647595,4755120,5072128,5267066,5349510,5577114,5706144,5739970,5918107,6027715,6393139,6419412,6447459,6692738,6887964,7012315,7209115,7233258,7505319,7524380,8162119,8209479,8414778,8650938,8919427,9029256,9425276,9567595,9816247,10015258,10157913,10548595,11326172,11440354,11468359,11481114,11660170,11905754,12507595,12658314,12823591,13114407,13191259,13463139,13464680,13485595,13616707,13992204,14023210,14556487,15009114,15147765,15589819,16023715,16157616,16182714,16383370,16592007,16827852,16874186,17008220,17153191,17648359,17802859,18177318,18528314,19025474,19167368,19228458,19545607,19555484,19660044,19703379,19812259,20392419,20409864,20481787,21205699,21359479,21563289,21905587,22111239,22140871,22242595,22271170,22703996,22824139,22961097,23043658,23139939,23297306,23493451,23597515,23631091,23824659,24078907,24105980,24496099,25493384,25532679,26469020,26494315,26627911,26691114,26725404,26923339,27028365,27415219,27457915,27650515,28317018,28368967,28431914,28612915,28680057,28777207,28830256,28927176,29659267,29962267,30417799,30918595,31109479,31328258,31581274,31762824,31793178,32018217,32176625,32196956,32434038,32434280,32543073,32641868,32762359,32949498,33093896,33180618,33320019,33792595,33954547,34142925,34335498,34366315,34386247,34510459,34918291,34994024,34997799,35332707,35667399,35703595,35733177,35843959,36008119,36102631,36419120,36488565,36818299,37004007,37052876,37102314,37229515,37230633,37273018,37821571,37841779,38116925,38299226,38437147,38562595,38611950,38625466,38708179,38921136,38943115,39368277,39620506,39892519,40360699,40551114,40617020,40843315,40971510,41186080,41239578,41689916,41762059,41981515,42289459,42315879,42844314,42928915,43305699,43419127,43588508,43662668,43702944,43786278,43829587,43970779,44675418,45327146,45740310,46275114,46334340,46394986,46631240,46731738,46803370,47458819,47462515,47542201,47649946,48107899,48152938,48479239,48551907,48740424,48789664,48910519,49011978,49123210,49165812,49337227,49380379,49423296,49726274,50047399,50377818,50469787,50472115,51440170,51478599,51514698,51898627,52460145,52597570,52661498,52916059,52932680,53017052,53658595,53841226,54083714,54377131,54452750,54455804,54514747,54709959,54713180,54832977,54888372,54910210,55281849,55519365,55601208,55660291,55669594,55759676,55957488,56164044,56460595,56908999,56955018,57019915,57396187,57698371,57924986,58239507,58502647,58559079,58656584,58834939,58881715,58947852,59220656,59253595,59316907,59541427,59549265,60094279,60151868,60153699,60526339,60566538,60602204,60825739,60889339,61181834,61481515,61655059,61666915,61671307,61728204,62375240,62551359,62650172,62952174,63117084,63333715,63519216,63837451,64390314,64514299,64585484,65006474,65343300,65346619,65366515,65655816,65811725,65892252,65988657,66623238,66733447,66851707,67546858,67621579,67680706,67752714,67917430,67999987,68022199,68423898,68725570,69699520,69872170,69986659,70172145,70245357,70390747,70579148,70658058,70885915,70932691,71104314,71459118,71619115,71881651,72211916,72406407,73632115,73777818,73862793,74000298,74320807,74741491,74850288,74910595,74929244,75380419,75496316,75594370,75675874,75787754,75899719,75968972,76000458,76074106,76236619,76833645,76845799,77097715,77338119,77878210,78000488,78166604,78189115,78411960,78439818,78557925,78867939,78974070,79033449,79253491,79565084,79656680,79783239,80182387,80392359,81235786,81298570,81500916,81523867,81593258,81955888,82437845,82470684,82471339,82519111,82749980,83082595,83136691,83500267,83575210,83625425,83639424,83696264,83795120,83846604,84152156,84206574,84239008,84461479,84805628,84811507,84834979,85063098,85307707,85479674,85648387,85788595,85848970,85931240,85942938,86065147,86148715,86340547,86429756,86667379,86984770,87335139,87402620,87750549,87824659,87933459,88213455,88358538,88398919,88829319,88848379,88871911,89315707,89370139,89613765,89892714,90025387,90312026,90318099,90713244,90805819,91468625,91503559,91913767,91920794,92097507,92155976,92200374,92393319,92517258,92863579,93276871,93299587,93425707,93453852,93581191,93826747,93826938,94016750,94094352,94158297,94269510,94768884,94980506,95135306,95296867,95439226,95477299,95588016,95989315,96219219,96407239,96512007,96573866,96601544,96672645,96756907,96877915,96948634,97024900,97174570,97558284,98242339,98279914,98319368,98527964,98652115,98925414,99063965,99229879,99242167,99299976,99602626,99699114,99874051,...,3939149266829665584501241670315793365154965677522885519280661737925279121816598934464855863942733441083682977848750430470512718927755149389914785090319767731257483306681615358629361109850642589029328194376867042815138781971846795652980495380337029795752361615446936158433642947264547434464772172336097785876697320064624002094828718776743898172706221919640493887708197039454677618431523974167442964802054810223431367249360101114879399482022300239795728509809800397839684605642070461295026756033701882342718069969092580471344247375310699029475017393787026932294870204938679220259954982881661830938143925929833560139690601231483446886871459990749682733976575708156051762226843311250276288278342686319955405232445431790712254939556499329734906167748539053529767087393647018602446168793079034928710951084504775507846453152740339176291560407887079144291411467267085179063747749789857513455744598985718383709037025576969611087469148538309582549251429524936786593889486155074973292269357593568479640059868967197176055530249950255525792491216709366364910221499681618197041582149694072785714868721972746512477323319428384504140777987999622586664796988181085326435464138213900563994752613894559510508399305972208019326733830724671905544313838724456073226750238317347042074649092067842335548190563985331819713120194519673309729436242596530504399150834863078251960900241838847734375480693964536429210943372253405433327925569791411545255034134807475692220028323663577669797052788325776043014852032745863132634667932221518146322578403595821614374035066824288291802382859970158488840964401740101168430724491812467819189215896388457376798199894943014630918812725837885775242740192596413146764423428183685232392673838836059177795667214160159429455958722687951368720045585684667251581666377187548326134954860481689013861094921652986300282152250467712696461148935484426057072685524488606203928360671518637255752952565279385713713501675504299735882164396838005917287604521487300522930515280793932423873081866909129990333753415259268616306976424666500333525742930520800530676241189116697731700185442182161078810128026442429753386839358966028574264442448561469747255931418016285883419268954480725681713493177510513517751333707561624758368488669829126533601261634381514198853872201447274100476034270998776034635493280080507354981157797014555816307916972395360096406006291722356663515417033718110749177476041120597815974370177384130088721813229113025698980309848153375179956431842734497848248849797275187367449153390169407238662942211641411401818814089241961655531412594261165973681360271901923219518342099071196122307652250794018547938727664370532918555426726817624495152945067042553735573200215235879243049411968884782488306321210927070822253157805208210060558619376847366457012004894416772327161461880876709204061294936063092473650166168870764199147660323010942685325915173708383296835067262145662219813804435405213754288267081636460128746259444066092621720725065554749754443874199391438338677671026086710469327272608403004102431490593679786851089950434969107676514458210607777939923741473349498209533428572323041560117500891304727024188958564798433811423387934762144809471366}
19830 153928133481890567998028377011133124852316779987545480636730020739978844: {218009,336821,554932,574229,732341,792760,891855,951312,1030276,1048181,1070226,1324121,1402889,1560329,1743544,1961487,2031881,2228021,2580569,2912511,2932469,3467275,3513542,3643384,3984854,4098807,4160730,4438112,4449881,4566101,4908664,4953250,4992876,5160614,5295412,5300489,5416181,5522247,5767876,5943900,6340160,6566774,6760601,6875381,6990089,7132680,7142921,7257461,7436152,7448201,7562549,7608192,7714901,7791029,7900599,7943189,8024265,8365671,8512649,8559216,8588441,8596612,8609955,8702069,8853461,9183952,9405475,9629118,9644344,9827654,10007092,10039107,10059494,10059989,10331946,10435349,10522742,10735061,10847321,10849887,10945972,10996889,11219704,11286570,11407541,11519369,11534584,11781595,11854421,11891609,12039008,12411401,12622167,12892661,12976407,13225049,13543884,13556789,13978742,14137914,14157715,14181641,14328329,14438261,14511509,15022887,15308152,15580454,15606389,15751829,16259861,16730201,16771447,16830850,16877752,16989258,17160531,17221671,17235209,17379209,17402342,17485876,17490255,17858631,17950852,18312089,18656272,18669449,18987471,19417301,19666742,20012152,20197020,20373641,20902421,20988306,21034815,21113429,21260275,21499529,21543488,21576952,21916742,22122676,22233941,22306711,22437136,22513671,22582421,22999541,23692181,23706374,23899349,23933849,23959210,24209561,24236424,24274071,24444355,24553481,24575055,24820214,25226474,25241778,25311279,25341461,25512330,25637944,26213392,26271172,26295029,26362901,26667929,26803289,27189892,27213152,27265977,27309749,27792471,27881561,28216841,28379995,28538211,28751052,28818329,28842687,28957159,29118101,29184629,29284361,29333226,29384021,29481652,29483609,29490066,30132475,30335414,30614796,30619771,30771701,30804569,30853252,30968789,31362101,31427654,31492949,31688981,31766212,31866730,32177801,32242841,32275349,33086275,33384614,33406755,33601289,33633461,34043572,34055994,34083029,34179161,34466774,34565487,34850069,34945959,35114342,35327129,35549141,35588152,35633872,35707481,36037820,36158970,36275849,36747509,36795187,36935669,36967001,37756024,38182709,38240076,38569568,38759414,38832281,38893961,39109589,39570329,39703530,40036671,40088106,40246195,40486409,40542850,40802335,40820501,40911449,40941749,41032601,41095814,41367370,41518742,41546069,41816969,41997209,42350432,42386741,42390904,42446549,42475527,42536201,42647871,42690956,43245384,43369481,43390764,43742530,43783769,43901849,43932664,44240824,44426692,44666249,45104789,45483401,45523900,45715721,45780664,45831689,46149941,46316095,46351961,46438421,46663732,46697369,46992387,47012981,47110276,47356181,47371911,47527349,47556532,47641301,47644236,47689767,47698229,47726681,47793542,47954009,48209141,48294041,48295434,48407129,48413894,48651057,48651420,48914441,48962802,49139081,49223189,49338676,49424247,49469752,49475081,49640844,49770927,50472374,50476169,50503829,50752409,50771275,51324511,51412121,51482600,51503247,51631001,51712949,51818074,51894848,52112395,52365941,52491036,52516454,52798709,52960469,53978261,54068152,54485635,54546134,54562229,54578335,54628680,54950342,54986104,55116041,55579314,55653471,55909527,56031221,56421172,56498069,56653109,56730521,56756309,56962742,57039449,57125752,57296009,57363494,57448839,57526229,57740932,57883061,57917925,57938199,58187669,58270592,58289050,58381704,58516361,58592021,58893941,58969241,59430759,59557334,59567224,59569049,59916809,60015881,60090101,60164249,60435509,60509321,60533909,60826671,60877301,60925530,60987080,61194761,61457265,61536614,61700152,61779120,61859367,61930742,62211161,62259209,62268778,62308984,62331221,62403161,62475029,62534874,62642441,63402761,63473621,63567989,63638681,63991061,64266471,64388249,64411541,64478534,64481369,64735876,64987232,65175689,65349304,65382762,65494002,65554416,65657429,65679417,65771609,65897728,65976629,66165850,66271315,66339509,66421814,66452489,66655349,67013127,67170424,67193141,67195094,67415861,67482521,67773542,67792649,67990719,68069755,68250427,68350694,68391475,68408201,68517461,68610465,68638132,68686264,68778869,69168821,69233561,69412671,69501510,69592479,69641909,69699595,69706121,69946860,70026101,70089881,70097607,70205055,70449941,70513241,70660661,71017049,71350361,71412629,71474919,71711402,72133769,72229407,72276821,72317621,72543542,72764309,72946612,73110636,73184496,73234231,73320730,73486901,73517967,73586441,73665929,73684815,73709132,73748718,73863014,74022041,74025820,74134944,74140169,74179481,74183527,74238389,74426342,74589411,74609984,74648729,74726489,74885392,74900981,75113369,75189835,75190361,75248021,75566727,75573401,75752755,75940024,76047701,76160789,76423541,76759061,76814729,76833269,76981301,77160255,77272047,77477129,77652676,77750069,77858741,77912969,77969050,77985161,78078772,78093209,78290549,78308441,78312715,78597136,78664601,78841481,78876761,78896355,78992247,79052681,79399020,79523669,79525578,79885961,80142581,80176661,80204932,80636479,80731855,80755384,80761839,80901641,80902742,80951669,81125571,81200729,81382229,81546389,81679125,81683706,81813542,81920921,82015219,82069770,82162901,82176854,82304272,82332558,82358294,82365315,82371161,82403081,82609781,83401812,83500121,83504391,83546261,83592329,83639514,83760629,83912789,83936232,83984774,84003701,84079241,84139529,84156112,84246066,84483701,84526351,84528281,84587609,84632021,84692288,84883334,84970121,85072181,85361621,85432527,85548041,85619381,85676309,85718921,85761461,85803929,85853752,85874549,85956854,86029447,86294069,86583449,86787989,86887479,87071321,87124400,87124889,87191669,87541088,87666581,87705689,87835529,87856336,87984876,87990281,88028789,88207541,88223935,88421778,88485269,88560341,88746761,88771481,88783829,88830984,88955861,88992521,89041289,89259161,89283209,89675381,89737879,89815829,90035849,90199094,90227802,90264895,90336952,90433589,90534281,90711689,90810581,90849807,90897941,90903306,90995609,91038809,91092629,91189001,91220981,91231864,91379801,91640501,91733129,91772751,91946741,92067221,92235929,92265461,92412041,92508761,92592306,92614229,92671349,92709269,92765909,92770447,92808374,92840981,92896949,92906249,92961881,93262709,93280661,93316469,93326342,93343241,93476021,93502361,93562860,93650261,93658889,93660476,93661555,93787349,93804341,93930761,93975258,94153781,94210744,94275161,94355081,94370395,94378901,94428261,94496921,94674389,94675626,94704821,94805752,94840181,94961215,94965641,95052809,95068039,95278824,95385254,95396789,95478101,95491541,95511641,95734409,95898521,95972441,96069209,96104969,96152201,96193109,96307829,96341621,96424841,96506261,96541876,96585471,96754709,96784469,96828569,96862421,96878226,96919541,96943001,96975509,97025801,97070681,97145141,97262741,97358549,97400921,97412309,97416089,97468169,97500610,97509711,97543349,97557269,97574489,97628249,97708255,97756661,97794569,97800281,97852949,97980041,98011289,98014950,98017781,98038901,98045081,98072969,98080649,98098214,98101109,98111861,98132501,98199641,98219609,98236469,98242709,98251529,98256149,98259701,98268809,98276249,98285909,98291849,98303861,98307029,98307161,98370424,98483724,98667064,98838378,98938454,99273542,99456355,99570850,99775094,99800384,99934857,...,5908723900244498376751862505473690047732448516284328278920992606887918682724898401697283795914100161625524466773125645705769078391632724084872177635479651596886224960022423037944041664775963883543992291565300564222708172957770193479470743070505544693628542423170404237650464420896821151697158258504146678815045980096936003142243078165115847259059332879460740831562295559182016427647285961251164447203082215335147050874040151672319099223033450359693592764714700596759526908463105691942540134050552823514077104953638870707016371062966048544212526090680540398442305307408018830389932474322492746407215888894750340209535901847225170330307189986124524100964863562234077643340264966875414432417514029479933107848668147686068382409334748994602359251622808580294650631090470527903669253189618552393066426626757163261769679729110508764437340611830618716437117200900627768595621624684786270183616898478577575563555538365454416631203722807464373823877144287405179890834229232612459938404036390352719460089803450795764083295374925383288688736825064049547365332249522427295562373224541109178572303082959119768715984979142576756211166981999433879997195482271627989653196207320850845992128920841839265762598958958312028990100746087007858316470758086684109840125357476020563111973638101763503322285845977997729569680291779509964594154363894795756598726252294617377941350362758271601563221040946804643816415058380108149991888354687117317882551202211213538330042485495366504695579182488664064522278049118794698952001898332277219483867605393732421561052600236432437703574289955237733261446602610151752646086737718701728783823844582686065197299842414521946378219088756828662864110288894619720146635142275527848589010758254088766693500821240239144183938084031927053080068378527000877372499565781322489202432290722533520791642382479479450423228375701569044691723403226639085609028286732909305892541007277955883629428847919078570570252513256449603823246595257008875931406782230950784395772921190898635809622800363694985500630122888902924460464636999750500288614395781200796014361783675046597550278163273241618215192039663644630080259038449042861396663672842204620883897127024428825128903431721088522570239766265770276627000561342437137552733004743689800401892451572271298280808302170911150714051406498164051953239920120761032471736695521833724461875458593040144609009437583534995273125550577166123766214061680896723961555266076195133082719843669538548470464772230062769934647764101746772373274695912781051173730085254110857994413317462117102728221133862942483297118891391748960522040407852884829277513148606794183461478376191027821908091496555799377833140090226436742729417600563830603359800322853818864574117953327173732459481816390606233379736707812315090837929065271049685518007341625158490742192821315063806091942404094638710475249253306146298721490484516414027988872760562574945252600893218493329720706653107820631432400622454690193119389166099138932581087598332124631665811299087157508016506539130065703990908912604506153647235890519680276634925652453661514771687315911666909885612210024247314300142858484562340176251336957090536283437847197650717135081902143217214207049}
19831 154527329682439726614704718335737602342984350314603931779828137812166755: {693665,832398,990950,1189140,1268416,1287845,1426968,1525601,1545414,1605339,2179430,2615316,3187961,3883348,4138409,4295081,4376021,4554230,5270313,5465076,5547640,5977281,6135830,6241095,6506633,6619265,6657168,7145273,7209845,7362996,7405574,7429875,7489314,7740921,7925200,7943118,8035958,8438801,8651814,8915850,9295190,9354521,9510240,9817241,9850161,10092761,10144256,10534132,10541141,10699020,10745765,11154228,11412288,11479940,11836214,12055430,12439733,12508865,12786278,12838824,12894918,13258289,13385476,13394633,13682465,13775928,14024630,14101001,14418230,14443677,14466516,14557961,14741481,14768033,15010638,15048760,15089241,15155153,15497919,15784113,16324238,16418958,16829556,16929855,17203121,17301876,17510633,17838854,18058512,18850552,18879833,19135190,19632494,19897313,20030516,20271953,20315826,20483861,20968113,21097190,21206871,21857345,22143113,22339361,22433201,22438565,22652344,22668161,22880708,22891409,22936718,22962228,23320340,23370681,23811508,24639473,25015190,25113689,25246275,25316628,25483887,25647182,25888421,26103513,26228814,26382518,26926278,26929360,26971190,27233414,27377993,27653345,27927653,27984408,28046420,28780121,29112974,29500113,29965301,30018228,30092249,30295530,31139633,31179638,31423841,31482459,32047430,32315232,32365428,32513333,32766740,32838965,32875113,33036521,33184014,33526961,33655704,33748372,33987365,34016440,34306382,35051861,35296718,35559561,35605718,35938815,36354636,36852065,37056628,37092041,37230321,37326449,37839711,37862667,38050948,38268495,38334736,38441081,38456916,38566565,38570513,38710721,39091214,39110968,39320088,39406758,39624518,39707765,40058081,40128101,40784838,40819728,40963574,42293753,42411398,42504233,42554465,42718958,43126578,43286033,43811174,43999839,44222478,44235099,44281742,44485190,44542340,44642201,45047275,45407992,45503121,45512489,45648278,45922194,46087316,46279878,46594612,46986902,47141481,47195030,47262182,47309633,47649318,47800095,48071441,48112841,48157814,48211960,48903233,48986009,48992198,49385393,49985033,50076921,50731841,50986768,51065358,51083991,51700161,51743921,52121321,52671513,52938040,52988630,53255822,53363695,53382228,53450808,53846678,53987633,54056730,54238455,54520361,54830438,54915830,55301030,55533365,56407409,56634036,56737934,56863828,56904875,57180641,57225830,57360114,57488201,57554414,57660512,57854352,58139121,58329665,58774121,58840913,58887845,59012981,59318534,59445665,59547521,59555295,59924534,60100481,60132159,60196001,60814275,60835598,61334741,61643721,61673345,61677569,61837190,62051055,62088833,62218958,62278113,62656516,62892521,63162548,63525648,63586356,63745061,64036434,64353250,64393912,64868076,64868560,65086146,65283736,65524718,65613795,65898996,66187792,66361236,66447521,66640038,66951473,67162601,67585190,67909094,68285850,68670996,68732630,68772494,68963561,69020918,69836582,69988048,69995598,70315961,70367141,70526465,70660961,70665414,70692533,70959449,71334798,71407190,71466354,71687918,71690313,72016238,72176165,72205262,72223481,72443151,72620841,72838240,72977130,73337189,73444203,73636598,74008014,74105752,74204628,74459030,74461266,74546036,74749169,75122033,75388073,75643142,75683558,75708561,76233850,76598452,76874294,77125190,77223900,77250932,77416358,77727111,77842272,77886230,77940833,78736554,78774681,78866801,79044833,79241012,79785038,79791041,79827881,80363621,80721398,80919845,81049529,81102228,81234040,81686630,81819201,81943020,82286261,82372160,82425513,82434401,82479156,82479713,82955033,83138201,83368971,83379832,83524118,83963030,84578918,84631758,84719249,84820241,84843593,85205633,85316369,85444113,85500641,85688628,85797665,85857830,86045241,86074121,86333681,86611398,86838254,87177016,87325336,87405888,87433575,87572556,87659174,87710741,87833681,87941558,87954389,88330853,88419833,88667201,89336001,89350836,89615609,89750393,89753033,90034601,90552281,90654292,91183265,91388295,91480620,91513121,92136415,92304921,92340281,92532275,92550228,92668680,92789972,92896113,93262480,93403167,93463476,93590849,93606740,93802311,93963641,94917638,94925030,95084402,95104241,95275721,95299892,96215798,96305876,96717801,96958478,97065845,97103814,97480848,97579328,97598465,97821038,98023956,98074143,98241003,98246420,98252453,98331624,98674454,98760758,98846592,99240281,99248775,99452548,99632721,99675281,99884273,...,7878298533659331169002483340631586730309931355045771038561323475850558243633197868929711727885466882167365955697500860941025437855510298779829570180639535462514966613363230717258722219701285178058656388753734085630277563943693591305960990760674059591504723230893872316867285894529094868929544344672195571753394640129248004189657437553487796345412443839280987775416394078909355236863047948334885929604109620446862734498720202229758798964044600479591457019619600795679369211284140922590053512067403764685436139938185160942688494750621398058950034787574053864589740409877358440519909965763323661876287851859667120279381202462966893773742919981499365467953151416312103524453686622500552576556685372639910810464890863581424509879112998659469812335497078107059534174787294037204892337586158069857421902169009551015692906305480678352583120815774158288582822934534170358127495499579715026911489197971436767418074051153939222174938297076619165098502859049873573187778972310149946584538715187136959280119737934394352111060499900511051584982433418732729820442999363236394083164299388145571429737443945493024954646638856769008281555975999245173329593976362170652870928276427801127989505227789119021016798611944416038653467661449343811088627677448912146453500476634694084149298184135684671096381127970663639426240389039346619458872485193061008798301669726156503921800483677695468750961387929072858421886744506810866655851139582823090510068269614951384440056647327155339594105576651552086029704065491726265269335864443036292645156807191643228748070133648576583604765719940316977681928803480202336861448983624935638378431792776914753596399789886029261837625451675771550485480385192826293528846856367370464785347677672118355591334428320318858911917445375902737440091171369334503163332754375096652269909720963378027722189843305972600564304500935425392922297870968852114145371048977212407856721343037274511505905130558771427427003351008599471764328793676011834575209042974601045861030561587864847746163733818259980667506830518537232613952849333000667051485861041601061352482378233395463400370884364322157620256052884859506773678717932057148528884897122939494511862836032571766838537908961451363426986355021027035502667415123249516736977339658253067202523268763028397707744402894548200952068541997552069270986560161014709962315594029111632615833944790720192812012583444713327030834067436221498354952082241195631948740354768260177443626458226051397960619696306750359912863685468995696497699594550374734898306780338814477325884423282822803637628178483923311062825188522331947362720543803846439036684198142392244615304501588037095877455328741065837110853453635248990305890134085107471146400430471758486098823937769564976612642421854141644506315610416420121117238753694732914024009788833544654322923761753418408122589872126184947300332337741528398295320646021885370651830347416766593670134524291324439627608870810427508576534163272920257492518888132185243441450131109499508887748398782876677355342052173420938654545216806008204862981187359573702179900869938215353028916421215555879847482946698996419066857144646083120235001782609454048377917129596867622846775869524289618942732}
19832 155128841908409845014424542895973423499398684454515229555004359504942450: {257647,376447,436018,613831,673642,1109864,1148458,1248597,1442407,1464682,1486425,1560487,1585520,1783710,1902624,2060552,2096362,2140452,2318121,2648242,2805778,2971831,3120658,3269145,3487088,3922974,4063762,4372807,4456042,4489087,4854185,5161138,5825022,5864938,6454831,6799567,6831345,6934550,7027084,7286768,7944007,7969708,8197614,8321460,8876224,8899762,9132202,9203745,9647167,9817328,9906500,9985752,10098607,10321228,10590824,10600978,10832362,11044494,11108361,11233971,11535752,11557831,11781247,11887800,11892847,11914677,12053937,12680320,12977721,13133548,13167665,13226431,13373775,13521202,13750762,13942785,13980178,14265360,14285842,14329831,14349925,14514922,14872304,14896402,15125098,15216384,15429802,15582058,15644407,15801198,15886378,16048530,16189087,16297807,16494233,16731342,16731845,17025298,17118432,17176882,17193224,17219910,17381047,17404138,17706922,17754321,18083145,18367904,18810950,19179417,19258236,19288688,19342377,19525927,19655308,19820801,20014184,20078214,20118988,20119978,20663892,20870698,21036945,21045484,21470122,21536887,21627345,21694642,21699774,21852031,21891944,21993778,22439408,22515957,22573140,22815082,23038738,23069168,23210167,23563190,23708842,23729287,23783218,23936431,24078016,24486357,24628437,24822802,25038145,25244334,25480831,25785322,25787767,25952814,26450098,26704687,26758281,27087768,27113578,27957484,28018831,28219927,28275828,28315430,28363282,28600885,28656658,28702785,28821487,28876522,29023018,29150425,29320807,29448741,29520031,29764385,30045774,30215047,30473739,30616304,30807967,31160908,31212778,31503658,31645785,32181367,32278927,32519722,33444031,33460402,33542894,33637207,33661700,33755504,33978516,34222097,34321062,34405077,34443342,34470418,34758418,34804684,34885831,34971752,34980510,35058025,35553127,35717262,35901704,36624178,36971167,37312544,37338898,37522785,37974942,38470773,38834602,39333484,39343221,39573777,39574831,39731993,40024304,40033831,40216927,40389417,40394040,40456785,40714201,40747282,40850121,40946431,40958425,41580967,41671327,41804842,41976612,42069630,42185465,42226858,42520550,42928807,42999058,43086976,43153904,43485221,43669461,43833484,43906927,44245352,44467882,44613422,44700727,44874272,45027342,45164842,45443295,45999082,46320785,46769457,47384362,47412748,47561431,47563685,47732287,47798698,47867698,47918420,48071145,48412831,48419122,48472848,48548142,48888710,49106962,49150110,49640428,49776021,49843687,50452948,50483556,50509831,50622558,50682922,51024660,51275888,51459573,52426784,52542344,52590058,52725802,52945077,52966831,53335858,53408577,53606578,53611087,54011407,54171031,54379784,54426304,54531954,54619498,54727447,55584942,55677925,55763122,56344673,56433682,56685847,56759990,56763247,57076422,57123269,57149167,57502104,57609145,57636658,57685374,57914318,57915607,58220167,58236202,58243265,58369258,58568722,58636821,58666452,58768042,58963304,58967218,58976527,58980132,59110137,59436777,59576431,60264950,60541447,60670828,61177257,61229592,61239542,61445361,61543402,61609138,61706504,61937578,62363047,62506831,62650327,62724202,62855308,62985898,63377962,63532424,63617097,63733460,64078437,64355602,64419727,64485682,64489567,64550698,64689867,64842533,65114887,65716761,66007831,66172550,66333717,66422613,66483607,66727785,66769228,66813510,67202578,67224127,67266922,68087144,68111988,68166058,68351431,68358322,68472417,68809567,68883291,68933548,69130974,69134647,69199447,69419817,69651031,69700138,69891918,69971431,70228684,70480327,70480353,70654258,70792545,70893273,71079785,71098282,71176304,71267744,71414962,71473977,71732407,72075640,72163831,72236721,72317940,72551698,72957353,73196887,73257007,73488297,73495018,73590374,73871338,73934002,74268031,75142831,75315847,75512048,75887887,76279889,76365418,76409669,76480152,76598037,76843831,77139136,77518828,77664562,77787922,78050047,78211831,78219178,78319327,78320645,78953185,79140658,79407060,79482945,79534831,79883733,80073342,80176212,80205007,80408767,80459527,80492390,80770017,80963167,80972818,81085095,81085700,81558031,81604670,81641002,81822898,81883498,81948847,82065202,82191628,82245657,82373745,82621687,82734740,82951545,83037484,83092138,83326927,83558407,83633938,83925031,83994418,84151831,84242047,84510967,84700864,84773482,84781808,84893098,84951054,85072402,85106901,85295742,85381912,85838745,86040171,86112031,86320831,86331621,86490768,86738962,86781528,87485060,87567538,87671441,87732031,87803698,87810007,87865328,88195567,88481648,88760407,88797487,88853384,88977801,89332498,89771431,89886801,90209578,90221647,90559687,90966802,91020847,91047800,91053247,91182127,91253397,91431442,91561328,91593031,91663378,92052031,92290207,92299882,92436727,92632190,92703922,92755785,92779841,92876842,92921431,93060031,93182545,93278047,93327464,93328437,93394738,93517807,93674407,93802927,93984774,94025962,94153207,94177687,94220552,94629127,94698031,94712362,94743822,94856287,94989127,95032831,95054698,95113064,95282602,95288472,95297657,95379534,95396458,95453362,95587084,95748065,95808487,95908018,95995327,96054651,96381031,96418282,96529875,96544831,96563665,96588082,96590868,96814258,96827788,96879847,96894247,96927077,96993031,97167127,97280527,97302114,97302840,97341007,97352887,97376431,97434031,97489831,97564927,97579433,97629219,97666087,97675807,97786831,97828882,97925604,97970647,98063887,98093767,98121847,98163031,98278162,98287077,98289031,98293567,98295727,98323807,98325967,98326831,98446378,98677352,98848494,98939504,98950162,99051265,99281688,99541854,99960057,...,11817447800488996753503725010947380095464897032568656557841985213775837365449796803394567591828200323251048933546251291411538156783265448169744355270959303193772449920044846075888083329551927767087984583130601128445416345915540386958941486141011089387257084846340808475300928841793642303394316517008293357630091960193872006284486156330231694518118665758921481663124591118364032855294571922502328894406164430670294101748080303344638198446066900719387185529429401193519053816926211383885080268101105647028154209907277741414032742125932097088425052181361080796884610614816037660779864948644985492814431777789500680419071803694450340660614379972249048201929727124468155286680529933750828864835028058959866215697336295372136764818669497989204718503245617160589301262180941055807338506379237104786132853253514326523539359458221017528874681223661237432874234401801255537191243249369572540367233796957155151127111076730908833262407445614928747647754288574810359781668458465224919876808072780705438920179606901591528166590749850766577377473650128099094730664499044854591124746449082218357144606165918239537431969958285153512422333963998867759994390964543255979306392414641701691984257841683678531525197917916624057980201492174015716632941516173368219680250714952041126223947276203527006644571691955995459139360583559019929188308727789591513197452504589234755882700725516543203126442081893609287632830116760216299983776709374234635765102404422427076660084970990733009391158364977328129044556098237589397904003796664554438967735210787464843122105200472864875407148579910475466522893205220303505292173475437403457567647689165372130394599684829043892756438177513657325728220577789239440293270284551055697178021516508177533387001642480478288367876168063854106160136757054001754744999131562644978404864581445067041583284764958958900846456751403138089383446806453278171218056573465818611785082014555911767258857695838157141140505026512899207646493190514017751862813564461901568791545842381797271619245600727389971001260245777805848920929273999501000577228791562401592028723567350093195100556326546483236430384079327289260160518076898085722793327345684409241767794254048857650257806863442177045140479532531540553254001122684874275105466009487379600803784903144542596561616604341822301428102812996328103906479840241522064943473391043667448923750917186080289218018875167069990546251101154332247532428123361793447923110532152390266165439687339077096940929544460125539869295528203493544746549391825562102347460170508221715988826634924234205456442267725884966594237782783497921044080815705769658555026297213588366922956752382055643816182993111598755666280180452873485458835201127661206719600645707637729148235906654347464918963632781212466759473415624630181675858130542099371036014683250316981484385642630127612183884808189277420950498506612292597442980969032828055977745521125149890505201786436986659441413306215641262864801244909380386238778332198277865162175196664249263331622598174315016033013078260131407981817825209012307294471781039360553269851304907323029543374631823333819771224420048494628600285716969124680352502673914181072566875694395301434270163804286434428414098}
19833 155732679048491771652185087030098568650390685671170504548200369682401028: {654027,971131,1010463,1387330,1664796,1722687,1802983,1981900,2197023,2378280,2536832,2575690,2675565,2853936,3051202,3090828,3144543,3210678,3972363,4208667,4358860,4680987,4890847,5230632,5884461,6095643,6313967,6375922,6684063,7739063,7741707,7766696,8276818,8590162,8737533,8752042,8783855,8797407,9108460,9266971,9962135,10093783,10401825,10540626,10930152,11055343,11095280,11954562,12271660,12296421,12383125,12482190,12826187,12901535,13013266,13238530,13314336,13349643,13698303,13903231,14290546,14419690,14725992,14811148,14859750,14978628,15044071,15425531,15481842,15668887,15850400,15886236,15901467,16071916,16248543,16416935,16566741,16877602,17204863,17303628,17512411,17806463,17831700,18021707,18590380,18709042,19020480,19155451,19634482,19700322,20185522,20281803,20288512,20626143,20970267,21068264,21082282,21363803,21398040,21428763,21491530,21772383,22308456,22344603,22687647,22824576,22893727,22959880,23144703,23373087,23498207,23672428,23701797,23829567,24072795,24110860,24498287,24569135,24879466,25017730,25097013,25148735,25537947,25572556,25677648,25765323,25789836,25829865,26106207,26306855,26338747,26401063,26516578,26560383,26770952,26789266,26802107,27050071,27364930,27551856,28049260,28202002,28216425,28836460,28887354,28933032,29115922,29482962,29536066,29846951,30021276,30097520,30117321,30178482,30179967,30310306,30357287,30600283,30995838,31306047,31413991,31427023,31568226,32205183,32233787,32541963,32549661,32648476,32837916,32990667,33201431,33659112,33859710,34222623,34406242,34558107,34603752,34946855,35021266,35344785,35563263,35563567,35674827,35677708,35850671,36117024,36338431,37234203,37658843,37701104,37759666,37866501,38270380,38677983,38714683,38929221,38951135,39264988,39675147,39794626,40061032,40543906,40631652,40670367,40967722,41936226,42077125,42194380,42413742,42473145,42544923,42892847,42984987,43314783,43505855,43534527,43603451,43714690,44286226,44678722,44866402,44877130,45068661,45304688,45336322,45761416,45782818,45784007,45873436,45924456,45974551,46640680,46741362,46819167,47255487,47504731,47582311,47623016,48779583,49166855,49278946,50030380,50190603,50227378,50314341,50492550,50633256,50967774,51192503,51294364,51481593,51483707,51592891,51665013,51705627,51776842,52137627,52207026,52457628,52470765,52765036,53575893,53787487,53852556,53858720,53942380,53993191,54035531,54466828,54702971,54755986,54791855,54936267,55306690,55413143,55590871,55855306,55968816,56008347,56092840,56584187,56811703,56962413,57560242,57632791,57857327,58225948,58251903,59000226,59265935,59576251,59898025,59930602,60036456,60184498,60401231,60591060,61119791,61120923,61891663,62050535,62279266,62359276,62707263,62847682,62898907,62964918,63066185,63104445,63340287,63780825,64094860,64498587,64630464,64730856,65026666,65533480,65677930,65750226,66073042,66368028,66701823,66920133,67053922,67069727,67311408,67378247,67496744,67541013,67747263,67974730,68032880,68612764,68998623,70103722,70374343,70593436,70699711,71076543,71119122,71211436,71698047,71801547,71877630,72628683,72709272,72822213,73333065,73660443,73704130,73725165,74113256,74164967,74184082,74460642,74652898,74709173,75598127,75679422,75725334,75838535,75933837,76024383,76101896,76536990,76669472,76859387,76882162,76913832,77133130,77141026,77421442,77568263,77746711,78182428,78221936,78569135,78588427,78640176,78813516,78885087,79088703,79249036,79373983,79397671,79415530,79541351,79666825,80003787,80116162,80256202,80409867,81569676,81639456,81661531,81797931,81927148,81929247,82392551,82442983,83153807,83223931,83377413,83461535,83644683,83861167,84587506,84650523,84822796,85008466,85108930,85139985,85355023,85437916,85453271,85614633,85666031,86166935,86253156,86342683,86454987,86528061,86572066,86647103,86871477,87193723,87354303,87421463,87553887,87622348,87719647,87785855,87853083,87999678,88152063,88339927,88428811,88444956,88450827,88470198,88563484,88970380,89084680,89284402,89428427,90094550,90397425,90815984,91006242,91024978,91296556,91844388,91859313,91932731,92174632,92244847,92315103,92413707,92559756,92906367,93189224,93973804,94086303,94282962,94298503,94390060,94433867,94478847,94524364,94619266,95066943,95298636,95600190,95683247,95785807,96142882,96225682,96315628,96423920,96533403,96728523,96826047,96898535,97806466,97972018,97984396,98737051,98770786,99258825,99970066,...,17726171700733495130255587516421070143197345548852984836762977820663756048174695205091851387742300484876573400319376937117307235174898172254616532906438954790658674880067269113832124994327891650631976874695901692668124518873310580438412229211516634080885627269511212712951393262690463455091474775512440036445137940290808009426729234495347541777177998638382222494686886677546049282941857883753493341609246646005441152622120455016957297669100351079080778294144101790278580725389317075827620402151658470542231314860916612121049113188898145632637578272041621195326915922224056491169797422967478239221647666684251020628607705541675510990921569958373572302894590686702232930020794900626243297252542088439799323546004443058205147228004246983807077754868425740883951893271411583711007759568855657179199279880271489785309039187331526293312021835491856149311351602701883305786864874054358810550850695435732726690666615096363249893611168422393121471631432862215539672502687697837379815212109171058158380269410352387292249886124776149866066210475192148642095996748567281886687119673623327535716909248877359306147954937427730268633500945998301639991586446814883968959588621962552537976386762525517797287796876874936086970302238261023574949412274260052329520376072428061689335920914305290509966857537933993188709040875338529893782463091684387269796178756883852133824051088274814804689663122840413931449245175140324449975665064061351953647653606633640614990127456486099514086737547465992193566834147356384096856005694996831658451602816181197264683157800709297313110722869865713199784339807830455257938260213156105186351471533748058195591899527243565839134657266270485988592330866683859160439905426826583545767032274762266300080502463720717432551814252095781159240205135581002632117498697343967467607296872167600562374927147438438351269685127104707134075170209679917256827084860198727917677623021833867650888286543757235711710757539769348811469739785771026627794220346692852353187318763572695907428868401091084956501890368666708773381393910999251500865843187343602388043085351025139792650834489819724854645576118990933890240777115347128584189991018526613862651691381073286475386710295163265567710719298797310829881001684027311412658199014231069401205677354716813894842424906512733452142154219494492155859719760362283097415210086565501173385626375779120433827028312750604985819376651731498371298642185042690171884665798228585399248159531008615645411394316690188309803943292305240317119824087738343153521190255762332573983239952386351308184663401588827449891356674175246881566121223558654487832539445820382550384435128573083465724274489667398133499420270679310228188252801691491810079400968561456593722353859981521197378445449171818700139210123436945272513787195813149056554022024875475472226578463945191418275827212283916131425747759918438896164471453549242083966618281687724835757802679655479989162119959323461894297201867364070579358167498297416797743262794996373894997433897261472524049519617390197111972726737813518460941707671559040829904776957360984544315061947735000729656836630072741942900428575453687020528754010871271608850313541592952151405245706429651642621147}
19834 156338850025249038326926023398546419653691323962535726558828370618075426: {515294,752894,811513,872036,1227662,1347284,1403173,1639333,2080995,2110789,2219728,2296916,2477375,2497194,2698489,2884814,2929364,2972850,3120974,3171040,3401353,3567420,3805248,3863535,4121104,4192724,4280904,4576803,4636242,4816017,4915333,5031289,5147173,5296484,5448575,5494393,5611556,5725513,5943662,6241316,6538290,6795859,6974176,7792633,7845948,8127524,8362693,8590213,8745614,8912084,8930953,8978174,9563883,9708370,10322276,11385575,11650044,11729876,12415227,12525193,12885243,12909662,12969289,13128063,13599134,13662690,13869100,14054168,14514553,14573536,15172489,15339575,15609673,15810939,15888014,15939416,16395228,16642920,16805989,17752448,17799524,17931843,18264404,18407490,18434731,18513935,18723285,19294334,19385893,19519899,19634656,19813000,19857795,19918153,19971504,20089895,20197214,20448613,20642456,20660293,21181648,21201956,21435819,21629535,21664724,21714373,22088988,22216722,22289625,22467942,22656889,23071504,23115662,23222763,23237975,23424583,23562494,23775600,23785694,23829354,24107874,25316403,25346953,25360640,25955442,26267096,26335330,26355131,26368633,26452862,26747550,27042404,27180793,27383113,27501524,27885570,27887653,27960356,28063563,28530720,28571684,28659662,28699850,28891333,29029844,29191033,29451723,29550483,29590535,29744608,29792804,30138575,30250196,30278283,30432768,30859604,31164116,31288814,31602396,31623423,31772756,31965695,32097060,32237295,32249989,32378174,32595614,32988466,33221989,33462684,33463690,33705289,34050596,34236864,34282873,34353764,34386448,34439820,34570693,34762094,34808276,35053403,35061575,35413844,35508642,35620489,36045575,36094789,36166290,36735808,37037989,37319199,37526595,37621900,38067193,38358834,38516472,38577376,38684754,38902789,39051854,39310616,39364489,39641602,39774867,40028368,40041239,40156428,40183899,40237976,40239956,40810595,41047395,41102533,41193289,41327784,41670139,41741396,42073890,42090968,42096889,42303003,42456313,42545989,42940244,43073774,43254690,43331031,43389284,43399548,43673883,43704062,43783888,43971013,43987556,44224443,44304099,44597135,44878816,45031914,45146280,45267723,45465459,45504107,45630164,46077476,46138336,46420334,46420453,46493757,46851913,47126380,47352339,47417684,47458574,47566436,47709433,47837975,47872862,48116783,48156032,48972714,49066489,49081235,49150693,49256874,49645604,49988773,50076290,50488668,50654053,50789565,50819653,50961662,51570644,51575534,51609363,51905628,52531899,52742975,52900196,53269093,53409374,53516562,54175536,54227156,55181989,55914968,55966789,56037662,56044873,56439854,56551656,56630860,56639499,56726564,57201770,57313316,57341795,57405570,57591433,57642974,57753044,58046036,58201993,58300850,58641614,58656889,58897482,59040062,59059651,59528770,59691939,60091548,60430094,60450553,60524389,60815859,60947478,61232608,61331833,61451583,61615934,61695973,62274853,62321816,62425556,62537975,62705989,62904339,63007316,63291570,63620613,64117955,64194553,64362734,64557854,64849099,65039444,65572035,65956295,66265993,66429339,66589159,66604933,66888062,66920804,67018083,67085788,67210489,67274414,67299603,67315695,67323400,67427975,67511008,67610953,67810213,67957032,68004483,68083535,68140873,68444194,68469733,68535289,68642124,68674227,68810154,68886684,68940836,69509989,69516836,69609368,69771662,69943504,69961020,70112043,70116050,70847353,71106254,71161093,71434524,71473033,71659333,71803408,72336889,72782435,72945289,73248356,73546489,73606213,73844389,73918419,73942334,74199493,74376073,74625088,74668933,74677796,74959993,75017989,75045570,75341067,75738825,75949884,76451661,76780153,76941546,77002489,77665263,77669204,77825989,77949095,78310539,78666968,78686442,78898789,79109893,79147554,79149662,79463986,79632613,80048608,80067662,80118575,80199289,80433854,80652803,80778834,80788080,80913570,81256933,81405433,81428402,81494564,81540571,81700242,81892862,81916850,81944389,82133979,82234693,82426789,82960035,83161934,83342654,83416393,83609684,83782959,83876473,83953224,84103813,84139260,84370930,84453716,84686473,84951289,85041100,85343653,85765955,85857614,85998116,86173952,86307808,86340363,86814073,86970442,87338922,87666968,87813854,88241795,88490704,88500339,88575013,88798789,88835833,88935764,89014295,89226844,89310853,89346889,89401454,89748544,89895903,89913673,90054684,90087013,90276747,90329684,90529273,90886590,90893989,90926713,91534789,91659493,91998164,92176633,92295289,92441989,92641570,92899333,93010789,93311353,93391813,93418899,93538914,93550789,93835513,93962053,94086793,94271523,94282633,94306789,94426489,94447377,94768724,94825496,95106889,95122862,95127370,95464574,95524489,95597396,95735396,95836840,95931973,96005989,96114853,96142290,96375673,96540553,96774373,96825662,96838244,96945696,96963913,96977989,97096284,97114789,97167493,97231753,97413733,97539999,97728035,97777420,97837093,97862473,97870789,98048773,98055289,98165413,98170489,98190073,98199433,98213924,98237989,98260453,98300220,98316613,98324389,98516895,98625339,99061295,99109563,99280856,99511699,99552042,99687374,...,23634895600977993507007450021894760190929794065137313115683970427551674730899593606789135183656400646502097867092502582823076313566530896339488710541918606387544899840089692151776166659103855534175969166261202256890832691831080773917882972282022178774514169692681616950601857683587284606788633034016586715260183920387744012568972312660463389036237331517842963326249182236728065710589143845004657788812328861340588203496160606689276396892133801438774371058858802387038107633852422767770160536202211294056308419814555482828065484251864194176850104362722161593769221229632075321559729897289970985628863555579001360838143607388900681321228759944498096403859454248936310573361059867501657729670056117919732431394672590744273529637338995978409437006491234321178602524361882111614677012758474209572265706507028653047078718916442035057749362447322474865748468803602511074382486498739145080734467593914310302254222153461817666524814891229857495295508577149620719563336916930449839753616145561410877840359213803183056333181499701533154754947300256198189461328998089709182249492898164436714289212331836479074863939916570307024844667927997735519988781929086511958612784829283403383968515683367357063050395835833248115960402984348031433265883032346736439360501429904082252447894552407054013289143383911990918278721167118039858376617455579183026394905009178469511765401451033086406252884163787218575265660233520432599967553418748469271530204808844854153320169941981466018782316729954656258089112196475178795808007593329108877935470421574929686244210400945729750814297159820950933045786410440607010584346950874806915135295378330744260789199369658087785512876355027314651456441155578478880586540569102111394356043033016355066774003284960956576735752336127708212320273514108003509489998263125289956809729162890134083166569529917917801692913502806276178766893612906556342436113146931637223570164029111823534517715391676314282281010053025798415292986381028035503725627128923803137583091684763594543238491201454779942002520491555611697841858547999002001154457583124803184057447134700186390201112653092966472860768158654578520321036153796171445586654691368818483535588508097715300515613726884354090280959065063081106508002245369748550210932018974759201607569806289085193123233208683644602856205625992656207812959680483044129886946782087334897847501834372160578436037750334139981092502202308664495064856246723586895846221064304780532330879374678154193881859088920251079738591056406987089493098783651124204694920341016443431977653269848468410912884535451769933188475565566995842088161631411539317110052594427176733845913504764111287632365986223197511332560360905746970917670402255322413439201291415275458296471813308694929837927265562424933518946831249260363351716261084198742072029366500633962968771285260255224367769616378554841900997013224585194885961938065656111955491042250299781010403572873973318882826612431282525729602489818760772477556664396555730324350393328498526663245196348630032066026156520262815963635650418024614588943562078721106539702609814646059086749263646667639542448840096989257200571433938249360705005347828362145133751388790602868540327608572868856828196}
19835 156947363795246027106468570213078588890464002936725847840687430876847637: {772941,1090045,1129341,1308054,1684105,1841493,1942262,2020926,2397373,2774660,2871145,3329592,3445374,3605966,3661705,3745791,3963800,4327221,4394046,4459275,4681461,4756560,5009653,5073664,5151380,5240905,5351130,5707872,5722489,6102404,6181656,6289086,6421356,6620605,6749413,6954363,7014445,7461961,7801645,7944726,8417334,8649541,8717720,8915493,9361974,9781694,9807435,10159405,10224709,10461264,11140105,11768922,12191286,12297397,12627934,12751844,12902845,13118421,13260973,13368126,13467261,13784569,13946989,14562555,14662345,15158221,15427093,15478126,15483414,15533392,15860053,16553636,16632457,17180324,17336375,17475066,17504084,17567710,17594814,18062149,18216920,18230173,18533942,19364493,19818277,19901341,19924270,20187566,20398701,20494035,20803650,21048709,21081252,21298381,21860304,22110686,22190560,22249405,22496389,22830505,22983709,23206909,23832021,23909124,24086221,24543320,24592842,24644461,24766250,24964380,25118773,25652374,25803070,26026532,26477060,26502445,26509477,26628672,26699286,26804821,26931517,27080905,27396606,27516709,27611235,27710653,27806462,28581092,28839380,28941501,28952521,29451984,29622296,29668309,29719500,29957256,30088142,30295821,30360361,30851062,30963684,31337774,31700800,31772472,31802934,32143832,32450893,32497086,32833870,33133482,33141781,33204793,33325083,33358357,33701913,33755204,33803005,33854089,34346989,34376905,34396789,34409726,34607256,34673493,34821013,34950445,35024822,35208229,35252173,35343741,35612926,35663400,35678541,35714605,35744031,36043414,36161811,36287305,36520777,36829597,37180760,37241005,37418084,37812745,38040960,38310902,38352877,38574505,38933163,38955145,39268964,39400644,39502995,39679293,39715945,40068397,40121325,40371044,40563606,40577024,41252286,41828355,41940534,42136528,42164564,42563245,42727606,42796080,42857526,42942205,42983060,42989493,43049775,43090237,43510345,43544766,43842949,44267305,44616912,44689206,44985181,45194557,45375294,45649152,45787454,45837049,45919760,46289406,46690621,46746174,46933221,46996414,47027375,47344856,47403594,47659134,48145590,48221720,48567261,48893421,48925597,48933709,48996574,49138270,49482699,49758932,50035460,50194026,50195535,50297470,50299945,50889577,51075894,51145112,51197701,51355296,51530646,51579672,51659730,51822829,51914533,52143141,52176745,52212414,52475209,52613710,52677494,52802126,53033156,53120766,53262963,53541904,53578532,53604214,53675305,54100142,54190069,54236605,54249435,54531589,54729860,54984445,55103712,55441417,56098520,56404004,56432850,56557309,57037705,57538251,57596845,57672920,57774708,57866064,58027131,58231844,58287493,58577781,58907975,58965924,59072132,59272105,59298853,59458045,59462403,59693902,60042552,60195040,60234642,60356964,60359934,60407413,60620612,60714574,60831133,60844381,60908197,61125997,61200566,61991676,62057005,62262217,62612094,62827982,62854046,62948413,63110835,63136452,63860173,64410366,64463305,64467574,64610661,64882035,64901737,65083926,65099322,65296952,65334949,65556093,65675832,65795629,65981334,66125245,66402862,66872221,67318224,67547871,67719420,67783945,68020909,68282653,68376841,68445246,68634877,68812484,68833597,69116214,69207504,69630501,69893710,70042532,70341421,70689570,70788575,70908205,71126526,71127134,71187861,71349654,71355416,71383273,71641645,71701342,71809293,72191305,72234048,72557545,72676862,73179517,73459071,73607689,73885311,74343709,74468406,75114435,75317686,75402208,75519332,75605893,75733002,76254121,76442493,76540760,76708597,77355966,77363301,77429366,77858442,77902270,77909677,78031945,78334969,78529976,78547909,78759145,79350294,79589252,80114061,80122064,80206969,80274843,81087812,81263304,81299305,81340734,81904933,81935444,82400917,82972309,83651005,83857235,83872452,84056493,84154250,84388760,84659781,84827484,84837709,84946290,85089846,85674853,85785694,85802655,85969974,86108355,86176045,86366869,86464461,86629566,86655901,86693941,86870749,86896045,87011710,87069054,87206902,87429380,87451275,87962421,88292659,88346223,88560093,88572452,88899157,89293155,89343241,89357444,89732804,89754260,89855293,90137322,90609376,90645141,90672644,90833821,91182073,91421217,91522832,91560445,91565636,91568014,91746872,91807717,91848912,91949102,92018569,92359333,92423901,93281360,93347245,93454189,93482724,93638334,93698629,94443613,94510974,94937355,95009462,95164622,95246032,95506597,96544101,96836781,97086505,97559166,97706341,98272681,98333710,98557892,98975749,99661609,...,35452343401466990260511175032842140286394691097705969673525955641327512096349390410183702775484600969753146800638753874234614470349796344509233065812877909581317349760134538227664249988655783301263953749391803385336249037746621160876824458423033268161771254539022425425902786525380926910182949551024880072890275880581616018853458468990695083554355997276764444989373773355092098565883715767506986683218493292010882305244240910033914595338200702158161556588288203580557161450778634151655240804303316941084462629721833224242098226377796291265275156544083242390653831844448112982339594845934956478443295333368502041257215411083351021981843139916747144605789181373404465860041589801252486594505084176879598647092008886116410294456008493967614155509736851481767903786542823167422015519137711314358398559760542979570618078374663052586624043670983712298622703205403766611573729748108717621101701390871465453381333230192726499787222336844786242943262865724431079345005375395674759630424218342116316760538820704774584499772249552299732132420950384297284191993497134563773374239347246655071433818497754718612295909874855460537267001891996603279983172893629767937919177243925105075952773525051035594575593753749872173940604476522047149898824548520104659040752144856123378671841828610581019933715075867986377418081750677059787564926183368774539592357513767704267648102176549629609379326245680827862898490350280648899951330128122703907295307213267281229980254912972199028173475094931984387133668294712768193712011389993663316903205632362394529366315601418594626221445739731426399568679615660910515876520426312210372702943067496116391183799054487131678269314532540971977184661733367718320879810853653167091534064549524532600161004927441434865103628504191562318480410271162005264234997394687934935214593744335201124749854294876876702539370254209414268150340419359834513654169720397455835355246043667735301776573087514471423421515079538697622939479571542053255588440693385704706374637527145391814857736802182169913003780737333417546762787821998503001731686374687204776086170702050279585301668979639449709291152237981867780481554230694257168379982037053227725303382762146572950773420590326531135421438597594621659762003368054622825316398028462138802411354709433627789684849813025466904284308438988984311719439520724566194830420173131002346771252751558240867654056625501209971638753303462996742597284370085380343769331596457170798496319062017231290822788633380376619607886584610480634239648175476686307042380511524665147966479904772702616369326803177654899782713348350493763132242447117308975665078891640765100768870257146166931448548979334796266998840541358620456376505603382983620158801937122913187444707719963042394756890898343637400278420246873890545027574391626298113108044049750950944453156927890382836551654424567832262851495519836877792328942907098484167933236563375449671515605359310959978324239918646923788594403734728141158716334996594833595486525589992747789994867794522945048099039234780394223945453475627036921883415343118081659809553914721969088630123895470001459313673260145483885800857150907374041057508021742543217700627083185904302810491412859303285242294}
19836 157558229349176618772375353691805406511261689853899535624848744754563314: {336923,455699,851099,1030588,1166843,1442699,1505788,1623026,1639499,1744072,1914683,1962081,2150243,2455324,2503043,2694568,2698763,2737883,2806346,2913393,2933363,3031389,3278666,3468325,4161990,4221578,4439456,4451243,4567499,4593832,4683683,4954750,4994388,5168061,5396978,5408949,5417843,5533499,5726099,5769628,5858728,5945700,6241948,6342080,6439225,6591069,6762683,6802706,6877499,6992243,7134840,7145123,7259699,7374203,7564883,7610496,7628005,7727070,7945643,8026695,8135723,8242208,8385448,8401499,8561808,8704763,8856203,8969699,9153606,9272484,9433629,9632034,9724499,9830666,10062578,10294346,10551083,10592968,10850699,10897150,10962923,10988786,11112443,11223112,11299163,11451026,11522963,11858123,11887324,11917089,12482632,12526499,12626001,12896699,13076580,13591718,13948352,14042961,14442803,14672541,15585266,15647699,15691896,15720443,15939805,16255048,16265003,16373699,16627043,16725386,17180426,17384723,17491228,17653383,17708363,17824168,17861906,17956348,18246323,18286929,18425243,18782483,18941901,19127766,19416740,19423499,19530083,19707563,19955699,20052189,20380163,20486099,20644552,20692045,20909123,21014699,21475405,21880105,22771150,23215163,23217189,23225121,23300088,23459752,23803499,24045083,24423923,24830454,25050386,25770486,25819324,25919509,25938578,25963643,26201699,26212599,26256126,26351565,26392221,26473283,27198268,27217499,27325380,27738200,27800913,27890699,28108336,28125853,28326563,28627523,28827803,28894499,29029106,29147072,29294003,29393699,29493323,29791763,29886405,30281349,30287723,30344978,30679150,30716099,30979043,31146973,31205475,31219346,31601483,31621878,31776028,31797443,31878832,32090843,32253563,32286083,32533165,32790456,32837699,33096325,33166029,33225683,33285840,33611978,33709043,33741203,34190603,34286699,34606499,35243699,35504896,35599048,35624483,35656163,35726365,35863686,36049225,36130403,36508499,36528808,36814980,36869462,36889263,37027870,37042163,37073483,37149375,37229963,37446570,37698203,38071499,38474603,38478561,38588668,38704605,38771786,38999699,39039798,39269312,39368963,39399683,39626000,39715590,39828923,39836306,39943008,40048929,40179790,40287083,40394428,40897226,40925483,41046683,41094909,41284912,41320586,41426749,41709693,41741099,42101723,42194005,42363296,42403912,42550883,42730043,42871638,42998243,43259070,43329448,43384499,43428746,43976099,44177976,44433444,44505803,44579250,44751973,44935884,45132213,45295499,45313778,45499283,45934643,46143008,46231324,46252763,46276593,46445526,46454699,46475950,46541123,46685003,46772605,46849166,47006661,47124988,47544083,47551200,47571388,47658708,47704401,47743499,48215748,48311099,48509003,48745629,49086205,49240643,49250805,49700223,49855499,49911203,50463805,50632806,50693906,50721280,51183563,51614589,51731483,51910884,52384763,52534192,52537233,52670660,52705705,52710262,52736699,52737266,52905724,53060363,53275499,53419389,53463323,53495100,53624003,53728825,53777581,54065121,54084808,54361586,54661403,54766226,55003048,55136099,55346243,55738883,55771140,55775306,55920712,56127126,56751323,56865289,57061440,57134833,57143368,57319324,57393923,57399700,57466353,57782666,58059688,58234499,58382066,58538003,58613699,58903446,58991099,59100966,59181070,59489216,59585608,59665883,59815043,60112499,60186683,60277150,60500392,60531923,60556523,60556566,60679403,60845409,60865536,60973499,61703699,61719208,61873043,61878429,62198665,62328232,62354723,62426699,62435989,62498603,62544325,62577628,62713883,62910801,63204792,63246846,63497699,63545512,63568523,63662843,63921563,63931390,64091409,64194120,64286289,64474590,64499978,64505963,64756348,65131499,65177603,65191228,65317149,65865323,65976932,66002003,66274499,66291445,66443978,66925368,66927380,66973165,67033809,67241483,67410578,67508699,67885283,68017643,68062941,68101192,68171699,68412325,68473728,68565746,68609699,68681181,68707528,68713729,68772896,68879640,69087803,69141386,69195923,69260699,69434109,69519083,69524188,69540563,69616552,69733523,70106806,70117499,70119261,70123150,70477763,70494621,70505005,70541099,70604363,70751699,70827688,71017284,71105391,71240978,71441003,71488701,71751443,71998499,72091150,72189578,72218385,72332580,72789805,73075883,73471616,73494861,73707405,73755203,73840165,73854323,73874123,74075978,74111099,74268443,74405699,74562083,74638398,74931443,75053190,75143963,75243800,75278699,75291039,75336323,75446205,75661499,75775765,75794723,75908603,76078883,76134386,76192043,76613841,76717668,76790699,76846403,77032944,77068499,77154752,77295969,77344499,77369508,77472683,77489595,77805578,77836763,77945363,78071699,78103708,78107723,78318621,78394763,78621232,78728978,78920565,79016241,79203189,79283204,79549734,79681149,80056736,80056883,80082478,80227643,80278513,80312856,80367798,80406321,80431499,80475952,80479912,80516099,80986163,81150213,81235403,81466403,81621190,81630443,81728483,81972323,82094790,82205066,82246499,82386578,82406699,82645499,82655568,83070803,83242403,83304563,83340278,83382083,83482792,83582699,83628803,83888699,84116099,84147780,84181936,84193778,84565499,84606006,84649275,84669323,84912626,85051523,85091978,85269563,85442699,85543163,85700243,85757123,85799699,85842203,85880488,86015605,86147548,86471123,86509380,86662062,86778568,86799096,87150923,87204443,87347766,87404003,87408124,87483323,87553165,87567776,87706499,87745643,87836699,87940283,87942026,87975112,88069043,88222499,88247963,88448886,88541629,88601099,88608198,88663499,88812443,88824803,88849499,88997003,89033699,89070323,89155499,89194270,89360723,89539883,89540853,89752499,89757632,89765137,89927699,90008843,90063828,90292560,90306803,90351963,90535446,90539901,90853643,90930918,91008214,91071861,91232483,91260328,91264499,91423499,91497083,91559843,91684499,91766963,91800849,92154952,92276672,92310203,92320043,92338813,92466683,92553803,92745083,92801843,92840668,92840906,92867699,92914499,92987514,93172883,93326699,93389363,93522323,93548699,93566243,93703826,93851099,93918141,94002803,94160123,94201043,94225499,94241973,94252760,94281069,94399165,94402643,94426499,94489763,94704678,94722443,94835368,94888499,94910843,94917148,95036099,95123123,95132872,95230283,95316949,95342603,95418866,95480123,95561099,95675950,95706563,95745724,95803523,95917499,95967323,96028883,96191099,96233566,96261323,96312064,96459563,96530699,96615549,96621683,96689699,96701361,96791699,96826643,96929123,97009499,97069403,97223963,97253699,97303763,97396499,97466123,97522163,97625889,97648983,97702499,97741043,97811699,97864043,97905683,97945428,97955843,98012699,98029163,98042963,98074043,98101499,98132978,98135363,98162470,98163323,98174003,98218499,98229083,98273699,98291099,98301386,98308643,98317883,98332499,98336099,98343923,98344523,98358803,98365763,98366603,98513748,98972001,99291208,99486565,99604293,99977546,...,53178515102200485390766762549263210429592036646558954510288933461991268144524085615275554163226901454629720200958130811351921705524694516763849598719316864371976024640201807341496374982983674951895930624087705078004373556619931741315236687634549902242656881808533638138854179788071390365274424326537320109335413820872424028280187703486042625331533995915146667484060660032638147848825573651260480024827739938016323457866361365050871893007301053237242334882432305370835742176167951227482861206454975411626693944582749836363147339566694436897912734816124863585980747766672169473509392268902434717664943000052753061885823116625026532972764709875120716908683772060106698790062384701878729891757626265319397970638013329174615441684012740951421233264605277222651855679814234751133023278706566971537597839640814469355927117561994578879936065506475568447934054808105649917360594622163076431652552086307198180071999845289089749680833505267179364414894298586646619017508063093512139445636327513174475140808231057161876749658374328449598198631425576445926287990245701845660061359020869982607150727746632077918443864812283190805900502837994904919974759340444651906878765865887657613929160287576553391863390630624808260910906714783070724848236822780156988561128217284185068007762742915871529900572613801979566127122626015589681347389275053161809388536270651556401472153264824444414068989368521241794347735525420973349926995192184055860942960819900921844970382369458298542260212642397976580700502442069152290568017084990494975354808448543591794049473402127891939332168609597139599353019423491365773814780639468315559054414601244174586775698581730697517403971798811457965776992600051577481319716280479750637301096824286798900241507391162152297655442756287343477720615406743007896352496092031902402821890616502801687124781442315315053809055381314121402225510629039751770481254580596183753032869065501602952664859631271707135132272619308046434409219357313079883382661040078557059561956290718087722286605203273254869505671106000126320144181732997754502597529562030807164129256053075419377952503469459174563936728356972801670722331346041385752569973055579841587955074143219859426160130885489796703132157896391932489643005052081934237974597042693208203617032064150441684527274719538200356426462658483476467579159281086849292245630259696503520156879127337361301481084938251814957458129955194495113895926555128070515653997394685756197744478593025846936234182950070564929411829876915720951359472263215029460563570767286997721949719857159053924553990204766482349674070022525740644698363670675963463497618337461147651153305385719250397172823469002194400498260812037930684564758405074475430238202905684369781167061579944563592135336347515456100417630370310835817541361587439447169662066074626426416679735391835574254827481636851748394277243279755316688493414360647726251899854845063174507273408038966439967486359877970385682891605602092211738074502494892250393229788384989121684992301691784417572148558852170591335918180213440555382825123014677122489714330872082953632945185843205002188970509890218225828701285726361061061586262032613814826550940624778856454215737119288954927863441}
19837 158171455711993324580961188017089676210251692676557587474022809413338658: {1288235,1526063,1545882,1882235,2180090,2258682,2357747,2434539,2616108,2833259,3069155,3368210,3682986,3884524,4019603,4041852,4209519,4794746,4917999,5126387,5549320,5742290,5920499,6242985,6332367,6395723,6659184,6890748,7211932,7212035,7323410,7337267,7432125,7491582,7802435,7927600,7976579,8095467,8654442,8788092,8918550,9268847,9362922,9513120,9820223,10019306,10147328,10204059,10302760,10481810,10702260,10922303,11415744,11444978,11590605,12083747,12204808,12363312,12578172,12842712,13241210,13498826,13730409,13908726,14028890,14223167,14448051,14456987,14562383,14745999,14859155,14923922,15093867,15406283,15441519,15596147,15603290,15672059,15861659,15889452,16345725,16483179,16830227,16834668,17176539,17299082,17435440,17779523,17830986,18063983,18232019,18723948,18743699,19563388,19614870,20318810,20387577,20449418,20490083,20527283,20922528,21864035,22149839,22280210,22445435,22498667,23377899,23537844,23640683,24270925,24382572,24594794,24875747,25088079,25143023,25255868,25503688,25770639,25805690,26236842,26344079,26521946,26736252,26792859,26934522,27055547,27426347,27519503,27569138,27713459,27893978,28691649,28788863,29125110,29324690,29628239,29974403,30101423,30316442,30854186,30956252,30966828,31066784,31149167,31720106,31962707,32274155,32454179,32519747,33107272,33264914,33997835,34156725,34350467,34360648,34524467,34672750,34824539,34950132,35008168,35062547,35135420,35189628,36124298,36433840,36460346,36519599,37067884,37103423,37245681,37575579,37836923,37913267,38655729,38728986,38907867,39384189,39636554,39720035,39802682,39848540,40375132,40797402,40817339,40988070,40997903,41607300,41661659,42097418,42162504,42596762,43543659,43720608,43988627,44221372,44381120,44498810,44550923,44992778,45517467,45661010,45967418,46018725,46413818,46506203,46829019,47324207,47432817,47664042,47818248,48086159,48127667,48172442,48235835,48311423,48930623,49000943,49086640,49185684,49288922,49364843,49532500,49928760,50000447,50237546,50417967,50493035,50802227,51229643,51304748,51606140,52053064,52137407,52937843,52954120,53004890,53018954,53257344,53282627,53398572,53609642,53795529,53863034,54004307,54161810,54399203,54537203,54793212,55033418,55222470,55304193,55421306,55541805,55602323,55612924,56169855,56833487,57162184,57505727,57678760,57789155,57830747,57883002,57905042,58157679,58559697,58648763,58903968,58906235,59244592,59264963,59336618,59439000,59464235,59573385,59588543,59754459,59914512,60119087,60176284,60269685,60550907,60591642,60720722,60837359,60914483,61345839,61353539,61702124,61927368,61974227,61980879,62268539,62675548,63401600,63544944,63605868,63863363,64287664,64307457,64888605,64901786,64994172,65143119,65341583,65667740,65838325,66132155,66266964,66283562,66409586,66556163,66650166,66716714,66868875,67403826,67510408,67606010,67649027,67708178,67970667,68693978,68753810,68793578,68819452,68885219,69214512,69346986,69642026,69668289,69713925,69900890,70015067,70049644,70273749,70337483,70416458,70419923,70504346,70687482,70961483,71225852,71326800,71357082,71390579,71429210,71488062,71649155,71749625,71891339,72086828,72245723,72323622,72485123,72574610,73041554,73047443,73615163,73659194,74292227,74361520,74393579,74482010,74772203,74836168,75065267,75145427,75625490,75931247,75949209,76040859,76081920,76621804,76705754,76978223,77149010,77866326,77910290,78222035,78342923,78537928,78801288,79005990,79065393,79105899,79358586,79431890,79852787,80136794,80242650,80388347,80550683,80635583,80742088,80945435,81074543,81127212,81154048,81489035,81542379,82149339,82156187,82311347,82471165,82504572,82980947,83241263,83656710,83659225,83662959,83881068,84190689,84273056,84329128,84846443,85126490,85455212,85592160,85715052,85884410,85966120,85978986,86099550,86180474,86673999,86879807,86905235,87020690,87089532,87357083,87573099,87685898,87860747,87981203,88355169,88534610,88651449,88771605,89233824,89352419,89378412,89643083,89970362,90248627,90389114,90415725,90579887,90750588,90834849,91298304,91574908,91674098,91817039,91839520,92027987,92575343,92578812,92829347,93381242,93492348,93619823,93708143,93866442,93992828,94054750,94689712,94807188,94870269,94897523,94919843,95133359,95304767,95318268,95629979,95897085,96291180,96338027,96443440,96711885,96749967,96796739,97134522,97629635,97786842,97851194,97867418,97993148,98276540,98965398,99104005,99271487,99517864,99665967,...,70904686802933980521022350065684280572789382195411939347051911282655024192698780820367405550969201939506293601277507748469228940699592689018466131625755819162634699520269076455328499977311566602527907498783606770672498075493242321753648916846066536323542509078044850851805573050761853820365899102049760145780551761163232037706916937981390167108711994553528889978747546710184197131767431535013973366436986584021764610488481820067829190676401404316323113176576407161114322901557268303310481608606633882168925259443666448484196452755592582530550313088166484781307663688896225964679189691869912956886590666737004082514430822166702043963686279833494289211578362746808931720083179602504973189010168353759197294184017772232820588912016987935228311019473702963535807573085646334844031038275422628716797119521085959141236156749326105173248087341967424597245406410807533223147459496217435242203402781742930906762666460385452999574444673689572485886525731448862158690010750791349519260848436684232633521077641409549168999544499104599464264841900768594568383986994269127546748478694493310142867636995509437224591819749710921074534003783993206559966345787259535875838354487850210151905547050102071189151187507499744347881208953044094299797649097040209318081504289712246757343683657221162039867430151735972754836163501354119575129852366737549079184715027535408535296204353099259218758652491361655725796980700561297799902660256245407814590614426534562459960509825944398056346950189863968774267336589425536387424022779987326633806411264724789058732631202837189252442891479462852799137359231321821031753040852624420745405886134992232782367598108974263356538629065081943954369323466735436641759621707306334183068129099049065200322009854882869730207257008383124636960820542324010528469994789375869870429187488670402249499708589753753405078740508418828536300680838719669027308339440794911670710492087335470603553146175028942846843030159077395245878959143084106511176881386771409412749275054290783629715473604364339826007561474666835093525575643997006003463372749374409552172341404100559170603337959278899418582304475963735560963108461388514336759964074106455450606765524293145901546841180653062270842877195189243319524006736109245650632796056924277604822709418867255579369699626050933808568616877977968623438879041449132389660840346262004693542505503116481735308113251002419943277506606925993485194568740170760687538663192914341596992638124034462581645577266760753239215773169220961268479296350953372614084761023049330295932959809545405232738653606355309799565426696700987526264484894234617951330157783281530201537740514292333862897097958669592533997681082717240912753011206765967240317603874245826374889415439926084789513781796687274800556840493747781090055148783252596226216088099501901888906313855780765673103308849135664525702991039673755584657885814196968335866473126750899343031210718621919956648479837293847577188807469456282317432669993189667190973051179985495579989735589045890096198078469560788447890906951254073843766830686236163319619107829443938177260247790940002918627346520290967771601714301814748082115016043485086435401254166371808605620982825718606570484588}
19838 158787051943036903143337925611471650367571374757472526876012731477430067: {376561,673846,732637,911398,1206397,1560961,1702198,2061176,2318823,2333686,2738161,2885398,2972737,3011576,3089917,3246052,3270135,3278998,3388023,3488144,3829366,3924162,4300486,4490461,4722877,4855655,4910648,5006086,5052315,5389136,5397526,5475766,5524479,5612692,5826786,5866726,5996017,6062778,6456817,6557332,6571837,6801661,6936650,7145857,7192119,7718077,7946461,8174557,8323980,8443156,8613435,8857117,8878912,8902486,9014915,9134998,9187664,9367366,9909500,9988776,10336122,10679207,10793956,10817898,10835686,10985115,11001457,11066998,11237373,11452198,11539256,11561437,11673217,11717456,11891400,11896561,12119617,12483896,12684160,12878450,12981663,13182138,13377825,13525366,13605412,13754998,13984486,14044383,14269680,14290246,14334337,14444317,14519398,14664061,14748406,14993137,15028959,15129766,15220992,15256010,15454140,15722715,15758461,15891286,16053390,16271446,16302961,16484416,16770896,16802998,17123616,17167467,17386561,17409526,17712406,17939398,18307212,18544968,18867258,19264068,19448998,19661332,19745137,19861815,20125156,20248239,20588692,20863089,21043335,21102166,21185936,21701398,21794300,21925846,21977572,22224886,22315727,22383037,22385883,22446224,22598326,22902052,23045926,23404935,23716246,23774648,23834178,24047677,24454235,24460957,24965264,25052998,25252002,25489117,25793398,25796161,25948623,26153160,26746479,26814961,27017857,27183436,27896704,28028017,28085922,28329661,28885606,28968863,29330461,29345082,29422305,29529757,29629297,30065567,30125917,30324061,30478215,30632147,30674127,31170532,31295398,31383792,31440886,31506877,31569835,31879610,32094397,32289661,32510096,32530006,32747398,33254086,33420315,33450772,33455197,33551857,33744961,34360852,34769446,34982456,35306766,35416726,35469937,35648336,35660161,35723812,35850097,35912696,36492646,36573858,36810059,36850486,36892191,37077661,37564966,37733617,37883802,38255532,38478961,38695315,38708535,38833480,38846998,39060166,39355263,39404161,39415126,39782919,39864061,39911398,40104378,40139137,40401783,40760326,40960477,40972198,41051377,41289104,41353707,41384090,41414257,41685661,41818246,41840967,42029398,42406237,42950810,43656157,43687665,43760210,43919275,43922161,43987035,45474663,45504577,45542300,45546431,45853057,46281279,46334855,46430326,46434378,46450242,46600176,46719217,46919504,47578177,47580159,47606998,47663677,48090166,48429937,48514717,48847846,49358557,49660908,49810675,49897371,50016911,50100772,50468915,51540972,51600961,51638648,51839018,51877156,51927286,52009125,52010461,52403398,52425198,52512252,52703130,52784442,52946566,52985917,53066737,54186447,54190657,54396536,54434998,54650760,54690519,54826561,55083919,55276715,55379197,55476400,55601826,55771777,55781398,56216672,56251706,56629117,56653126,56784061,57170161,57255046,57655606,57788998,58058212,58089457,58093479,58294144,58545217,58588006,58787398,58986646,59071607,59454831,59583526,59673277,59704023,59772810,60045697,60562698,60564061,60575446,60689956,61196103,61358300,61432198,61482105,61517377,61915625,61958086,62293946,62386561,62410950,62438692,62530417,62921947,63146127,63202966,63243756,63552056,63555323,63594886,63600157,63757664,63895143,63953137,64130935,64181686,64507126,64507675,64514161,64572166,64653697,65066330,65208961,65415997,65481647,65580912,65675398,65896561,66033217,66192650,66332058,66451366,66571680,66748215,66779677,67116097,67223956,67418086,67482406,67489167,68381206,68443777,68491515,68573398,68720687,68951127,69096817,69212998,69226561,69516155,69549661,69620727,69678397,69742657,70062877,70317757,70487398,70508161,70634737,70649327,71009792,71198096,71248966,71312326,71452730,71496063,71727372,72098450,72258663,72260806,73016998,73057616,73286461,73629960,73705537,73738924,73778526,73787987,73884061,73933383,74055740,74061937,74084326,74146966,74298097,74298750,74459926,74766961,74893140,75173437,75220355,75231217,75356319,75396406,76142998,76202461,76875517,76949206,76957122,77127655,77177336,77409210,77543572,77999398,78028417,78079596,78136561,78244417,78298237,78344435,78405661,78538624,78737926,78799366,79252000,79359517,79431180,79507335,79528431,79657846,79672612,79886016,80085277,80097858,80359580,80414463,80493661,80574166,80788856,80794551,81242715,81642097,81740161,81794452,81850966,82084675,82093366,82189818,82550127,82569824,82641172,82833705,82853498,83082817,83131959,83419386,83482198,83640961,84188737,84203446,84388010,84637297,84726592,84807824,84902977,85078657,85101766,85296637,85460086,85727197,85743276,85982077,85996486,86024315,86150557,86192497,86518140,86658896,86768998,86824503,86857492,86857563,86894461,87016177,87078131,87177457,87496561,87562055,87771997,87888961,87952198,87966577,88355952,88838461,88866888,89004927,89011606,89032315,89096257,89158500,89503946,89565661,89848477,89871768,90092161,90108535,90195517,90264426,90590998,90627556,90887463,90998566,91081083,91096561,91193437,91511677,91636957,91791937,91869286,92126557,92286016,92334961,92462648,92505526,92553186,92712637,92769661,92808023,92826397,92891052,92909398,92951900,93082246,93370006,93377917,93545210,93642877,93698332,93762431,93849661,94013322,94175857,94224961,94249976,94513537,94746097,94768957,94926961,95088166,95102400,95142776,95295997,95317416,95408802,95486998,95503357,95723137,95777255,95800897,96431496,96432157,96448897,96482161,96596317,96622198,96644161,96753277,96843997,96873661,96917617,96946561,97018006,97086961,97352679,97406461,97487857,97491258,97543837,97554817,97629661,97660657,97730461,97759297,97796737,97841917,97850737,97868161,97926877,98047837,98156161,98172410,98319997,98328961,98337277,98354161,98364061,98378461,98384257,98386417,98481286,98501610,98707007,99400446,99425343,99614379,99710998,99822406,99975249,...,106357030204400970781533525098526420859184073293117909020577866923982536289048171230551108326453802909259440401916261622703843411049389033527699197438633728743952049280403614682992749965967349903791861248175410156008747113239863482630473375269099804485313763617067276277708359576142780730548848653074640218670827641744848056560375406972085250663067991830293334968121320065276295697651147302520960049655479876032646915732722730101743786014602106474484669764864610741671484352335902454965722412909950823253387889165499672726294679133388873795825469632249727171961495533344338947018784537804869435329886000105506123771646233250053065945529419750241433817367544120213397580124769403757459783515252530638795941276026658349230883368025481902842466529210554445303711359628469502266046557413133943075195679281628938711854235123989157759872131012951136895868109616211299834721189244326152863305104172614396360143999690578179499361667010534358728829788597173293238035016126187024278891272655026348950281616462114323753499316748656899196397262851152891852575980491403691320122718041739965214301455493264155836887729624566381611801005675989809839949518680889303813757531731775315227858320575153106783726781261249616521821813429566141449696473645560313977122256434568370136015525485831743059801145227603959132254245252031179362694778550106323618777072541303112802944306529648888828137978737042483588695471050841946699853990384368111721885921639801843689940764738916597084520425284795953161401004884138304581136034169980989950709616897087183588098946804255783878664337219194279198706038846982731547629561278936631118108829202488349173551397163461395034807943597622915931553985200103154962639432560959501274602193648573597800483014782324304595310885512574686955441230813486015792704992184063804805643781233005603374249562884630630107618110762628242804451021258079503540962509161192367506065738131003205905329719262543414270264545238616092868818438714626159766765322080157114119123912581436175444573210406546509739011342212000252640288363465995509005195059124061614328258512106150838755905006938918349127873456713945603341444662692082771505139946111159683175910148286439718852320261770979593406264315792783864979286010104163868475949194085386416407234064128300883369054549439076400712852925316966952935158318562173698584491260519393007040313758254674722602962169876503629914916259910388990227791853110256141031307994789371512395488957186051693872468365900141129858823659753831441902718944526430058921127141534573995443899439714318107849107980409532964699348140045051481289396727341351926926995236674922295302306610771438500794345646938004388800996521624075861369129516810148950860476405811368739562334123159889127184270672695030912200835260740621671635082723174878894339324132149252852833359470783671148509654963273703496788554486559510633376986828721295452503799709690126349014546816077932879934972719755940771365783211204184423476149004989784500786459576769978243369984603383568835144297117704341182671836360426881110765650246029354244979428661744165907265890371686410004377941019780436451657402571452722122123172524065227629653101881249557712908431474238577909855726882}
19839 159405027136166464234053985840941166229753553098601991604840551608517823: {1010769,1367097,1803529,2553297,2576470,2635129,3052126,3091764,3348397,3500529,3764470,4057565,4296817,4328097,4360180,4517364,4715494,4869078,4918497,5232216,5666518,5744049,5886243,6138310,6450729,6736420,7015865,7148161,7365972,7509129,7769048,8039206,8083704,8096289,8196665,8213649,8419038,8740179,8800089,9094167,9589492,9757949,9835998,10096849,10252774,10404975,10470497,10553945,10923409,11098640,11484580,11840998,12386875,12485970,12664734,12791446,13318368,13353729,13492445,13702497,13781496,14051049,14423864,14424070,14646820,14674534,14864250,14983164,15504183,15604870,15855200,15953158,16157809,16190934,16226847,16253529,16600497,17006765,17178297,17210089,17308884,17576184,17837100,18537694,18725844,18745597,19005697,19026240,19317675,19324481,19640446,19773207,19822289,20038612,20288049,20294656,20408118,20605520,20632497,20802817,20963620,20976729,21404520,21435369,21779097,21844606,21916697,22122609,22694649,22831488,22884015,22889956,22900681,23181210,23836929,23839457,24080085,24091097,24167494,24407169,24409616,24576665,24726624,25145569,25156344,25156445,25204497,25685424,25735865,26114289,26482420,26568609,26909097,26936969,26997652,27242875,27460818,27471965,27817452,27851729,27938989,28057780,28300887,28383377,28446334,28627565,28896102,28913974,29124766,29173497,29491998,29718310,29847844,30187734,30609649,30812566,30883038,31192294,31206580,31344118,31423609,31436569,31653249,31723318,31778904,32523049,32552097,32691450,32888769,32966358,33337329,33660454,33669336,33793961,33897489,33979295,34353078,34568889,34598164,34870880,35559046,35574369,35574409,35661972,35751267,36117257,36127966,36464038,36523297,37447896,37487398,37579497,37860989,37878003,38060177,38586169,38690097,38963165,39126776,39229740,40381169,40637620,40642601,40775154,40898836,40980166,41054566,41813465,41845056,42128883,42951065,43328409,43728070,44017623,44299678,44560420,44654765,44890870,44997334,45183817,46755798,46943097,47075688,47161329,47281366,47482889,47596969,47748641,47819415,48503849,48541850,48765144,48795009,49121097,49169849,49189588,49751494,49881129,50176158,50286046,50511736,51007376,51541278,51611380,51977521,52154169,52473684,52688158,52960149,53043892,53125089,53472504,53585718,53869044,54052097,54111094,54738969,54852694,54860787,55039006,55138276,55275729,55327217,55426918,55608049,55787956,56347449,56825703,56829097,56927875,57383298,57425297,57577726,57727661,57875081,58250220,58270497,58340269,58590249,58649380,59122689,59256478,59867097,59948806,60156567,60202846,60632884,61140489,61458297,61686329,61708372,61912504,61933656,62076135,62133568,62298334,62625965,62727369,63044097,63440212,63925414,64426215,64547069,64548310,64846445,64908358,65039494,65640315,66214544,66529828,66562921,66978649,67530169,67995670,68313450,68700934,68721296,69048934,69345500,69645489,69649078,69651567,69675363,69900264,70016336,70125094,70270840,70379256,70690249,71410497,71898697,71918141,72135249,72248596,72572765,72867680,72920692,73039198,73271769,73366957,74135768,74206846,74491362,75072889,75151158,75673846,75826534,75862445,76697875,76883081,76884809,77311458,77457972,77484097,77758527,77815734,77890929,78048365,78605097,78612481,78637797,78768378,79054695,79176663,79273108,79419849,79440070,79565729,79605364,79697080,80750264,80904817,81565277,81594804,81634678,81652497,81976140,81995806,82164529,82468729,82561001,83032489,83214600,83249929,83323318,83402739,83509457,83672097,84029945,84194836,84325008,84377559,84955181,84979689,85193524,85381309,85692497,85882569,86483409,86683497,87087318,87441216,87448289,87882009,87977254,88181097,88367149,88442744,88479969,88762240,88997620,89101846,89375289,89415869,89659215,89985556,90844047,90863169,91034934,91322020,91934836,92037450,92148297,92173655,92272969,92569675,92585017,92827636,92910749,92937129,93012406,93347357,93440919,93616425,93658038,94648414,94804449,94865634,94929481,95328084,95392329,95636496,95712881,95815369,96172318,96255334,96272529,96344884,96347809,96456209,96471670,96622846,96760689,96858249,96929465,97599495,97861246,98001886,98173280,98371368,98513097,98577844,98729686,99065000,99288975,99292577,99498087,99590765,99677049,99857520,...,159535545306601456172300287647789631288776109939676863530866800385973804433572256845826662489680704363889160602874392434055765116574083550291548796157950593115928073920605422024489124948951024855687791872263115234013120669859795223945710062903649706727970645425600914416562539364214171095823272979611960328006241462617272084840563110458127875994601987745440002452181980097914443546476720953781440074483219814048970373599084095152615679021903159711727004647296916112507226528503853682448583619364926234880081833748249509089442018700083310693738204448374590757942243300016508420528176806707304152994829000158259185657469349875079598918294129625362150726051316180320096370187154105636189675272878795958193911914039987523846325052038222854263699793815831667955567039442704253399069836119700914612793518922443408067781352685983736639808196519426705343802164424316949752081783866489229294957656258921594540215999535867269249042500515801538093244682895759939857052524189280536418336908982539523425422424693171485630248975122985348794595894276729337778863970737105536980184077062609947821452183239896233755331594436849572417701508513984714759924278021333955720636297597662972841787480862729660175590171891874424782732720144349212174544710468340470965683384651852555204023288228747614589701717841405938698381367878046769044042167825159485428165608811954669204416459794473333242206968105563725383043206576262920049780985576552167582828882459702765534911147108374895626780637927193929742101507326207456871704051254971484926064425345630775382148420206383675817996505828791418798059058270474097321444341918404946677163243803732523760327095745192092552211915396434373897330977800154732443959148841439251911903290472860396700724522173486456892966328268862030433161846220229023689057488276095707208465671849508405061374344326945945161427166143942364206676531887119255311443763741788551259098607196504808857994578893815121405396817857924139303227658071939239650147983120235671178685868872154263166859815609819764608517013318000378960432545198993263507792588686092421492387768159226258133857510408377523691810185070918405012166994038124157257709919166739524763865222429659578278480392656469390109396473689175797468929015156245802713923791128079624610851096192451325053581824158614601069279387975450429402737477843260547876736890779089510560470637382012083904443254814755444872374389865583485341687779665384211546961992184057268593233435779077540808702548850211694788235489630747162854078416789645088381690712301860993165849159571477161773661970614299447049022210067577221934095091012027890390492855012383442953459916157157751191518470407006583201494782436113792053694275215223426290714608717053109343501184739833690776406009042546368301252891110932507452624084762318341508986198223879279250039206175506722764482444910555245182831729839265950065480243081943178755699564535189523521820224116899319902459079633911157048674816806276635214223507484676751179689365154967365054976905075353252716445676556511774007754540640321666148475369044031367469142992616248860898835557529615006566911529670654677486103857179083183184758786097841444479652821874336569362647211357866864783590323}
19840 160025390419890061344591181643652037609843530423365995849127242192043448: {753122,930271,1347692,1465274,1757839,1822796,1993639,2229151,2412794,2581879,3121922,3404396,3519319,3864705,4122352,4578189,4637646,4667372,5032831,5148751,5264599,5450225,5476322,5496079,5646705,5770796,5945474,6023152,6179834,6492104,6540270,6557996,6776046,6797917,6976288,7073241,7303617,7452031,7658732,7848324,8137399,8420525,8499777,8600972,8706559,8933719,8980922,9047191,9207465,9445754,9711310,9821296,10012172,10065199,10104630,10778272,10795052,10951532,11048958,11225384,11653572,11733452,11986865,11992034,12058809,12125556,12620881,12628557,12640279,12913634,12973351,13084231,13114664,13143674,13416439,13603322,13747999,13873300,14291714,14355725,14384238,14519119,14753997,15379161,15396079,15436154,15723751,15892922,15941839,16349114,16647960,16702879,16886312,17226870,17568319,17714234,17757824,17761497,17783959,17804972,18029830,18269996,18308525,18321799,18375328,18728955,18734732,18997101,19187169,19819000,19977552,20455159,20561071,20672244,20772679,21358414,21587912,21635796,21636105,21671372,21970230,22002914,22011801,22133996,22296375,22474746,22768591,22904396,23078512,23122874,23346434,23407305,23434912,23782800,23793122,23929737,24119239,24239234,24286401,24429199,24967792,25048265,25368320,25756900,25963326,26204525,26275351,26364276,26479039,26755650,27050732,27210824,27290911,27493159,27509996,27695119,27806541,27968972,28088766,28399711,28539360,28580492,28612445,28668674,28700599,28888634,28900831,29038796,29300431,29328122,29460669,29496812,29986274,30057918,30259532,30441984,30512020,30612177,30788671,30908280,30985879,31182799,31445430,31516922,31782572,32106780,32542892,32605922,32766909,32968832,33103025,33541792,33605996,33747065,34102039,34235929,34247232,34334934,34582279,34771815,34773122,34819052,34869559,35072225,35424812,35727511,35878796,36251241,36614424,37089936,37309805,37425919,37734516,38528136,38897996,39008225,39008551,39322664,39470071,39490274,39723630,39837991,40250312,40496478,40730657,41116639,41177384,41191227,41207431,41726178,42086670,42201391,42204332,42371872,42560671,42669501,43247705,43344153,43370961,43402796,43502797,43588600,43687149,43851692,43955144,44074759,44197769,44237997,44449772,44577465,44631454,44766074,44771766,44892448,44955679,45196652,45281601,45306031,45655231,45804104,46091852,46218849,46324557,46788441,46809870,46868359,47016177,47432492,47549296,47584977,47668356,47982199,48095354,48576919,48908470,48921914,49037175,49083871,49168111,49252279,49449537,49672039,49923031,49930528,50089999,50105996,50490681,50504004,50672119,50797025,50978234,51123545,51529617,51586796,51592322,51897246,52306320,52397311,52803391,53126959,53338569,53368879,53492958,53529799,53629922,54035714,54173441,54191949,54366872,54696057,55202071,55359679,55700525,55752439,55793408,55987231,56056034,56065351,56171844,56231097,56659322,57074359,57689239,57771212,57937726,58660922,58678591,58690164,58754191,58844610,59059514,59258594,59730439,60131134,60251834,60546991,60648122,60694519,60956430,61162731,61264294,61348254,61354831,61470249,61486985,61581849,61936879,62341064,62370391,62590796,62767584,62881772,63013754,63139670,63759220,63937759,64188794,64218991,64289119,64429159,64514225,64579322,64868797,65020192,65060012,65099177,65194231,65494796,65592105,65813719,66304865,66359479,66449517,66495199,66508172,66698239,66840630,66901544,66910394,67103714,67336305,67489922,67496001,67637191,67902871,68562031,68627551,68721704,68823679,68922845,69538892,69734945,69964912,70133697,70324529,70613532,70656481,70833452,70922049,70938319,70939874,71063959,71189311,71296672,71320322,71447624,71501431,71700194,71825392,72058711,72812775,72913999,72985292,73095439,73147716,73311725,73620118,73635871,73700972,73784382,73933591,74155322,74288479,74362301,74627241,74990479,75048511,75129932,75164359,75264237,75429069,75467234,75767604,75791105,75853399,76511064,76867519,76957922,77034271,77089711,77135465,77311917,77387401,77390630,77417070,77530639,77666960,77693996,77912671,78120332,78129391,78612799,78710526,78808322,78830252,79032237,79037599,79300265,79565838,79666159,79728122,79822796,80208756,80278274,80378577,80803566,81166641,81291631,81489631,81520652,81784471,81920954,81944396,82102754,82279041,82462351,82558039,82558509,82578208,82707414,82768180,82828514,82890679,83126119,83140377,83162285,83371322,83636492,83681934,83729839,84049879,84058796,84140671,84723799,84812474,85032751,85207711,85424791,85682911,85901620,85938439,86074947,86366589,86524591,86681875,87257479,87312314,87375330,87377359,87520420,87733111,87838550,87844322,87967039,87974070,88159999,88274911,88615759,88690711,88876831,88884717,89024431,89279959,89388391,89567671,89783309,89923209,89990599,90304269,90310745,90605551,90739039,90937111,90949326,90969871,91009154,91084600,91092862,91150865,91164919,91706114,91796359,92562558,92631991,92669710,92832079,92860652,92868756,92900484,92916751,92972839,93200352,93221671,93437959,93438434,93447501,93597151,93839008,94034119,94133911,94330039,94354231,94474111,94754479,94868239,95156354,95160318,95177191,95213996,95327354,95512999,95594071,95752759,95888121,96000799,96180332,96183319,96236671,96656071,96734551,96822465,96826351,96841399,96859874,96871279,97029434,97030471,97044511,97113631,97233511,97284919,97297591,97322617,97362537,97467439,97559241,97633759,97665079,97695692,97848391,97900879,97926151,97942639,97998079,98035519,98071159,98111551,98113697,98149351,98227471,98261239,98270239,98295511,98321719,98347351,98353039,98377159,98392711,98398831,98717114,99091385,99321816,99506705,99621350,99794742,...,212714060408801941563067050197052841718368146586235818041155733847965072578096342461102216652907605818518880803832523245407686822098778067055398394877267457487904098560807229365985499931934699807583722496350820312017494226479726965260946750538199608970627527234134552555416719152285561461097697306149280437341655283489696113120750813944170501326135983660586669936242640130552591395302294605041920099310959752065293831465445460203487572029204212948969339529729221483342968704671804909931444825819901646506775778330999345452589358266777747591650939264499454343922991066688677894037569075609738870659772000211012247543292466500106131891058839500482867634735088240426795160249538807514919567030505061277591882552053316698461766736050963805684933058421108890607422719256939004532093114826267886150391358563257877423708470247978315519744262025902273791736219232422599669442378488652305726610208345228792720287999381156358998723334021068717457659577194346586476070032252374048557782545310052697900563232924228647506998633497313798392794525702305783705151960982807382640245436083479930428602910986528311673775459249132763223602011351979619679899037361778607627515063463550630455716641150306213567453562522499233043643626859132282899392947291120627954244512869136740272031050971663486119602290455207918264508490504062358725389557100212647237554145082606225605888613059297777656275957474084967177390942101683893399707980768736223443771843279603687379881529477833194169040850569591906322802009768276609162272068339961979901419233794174367176197893608511567757328674438388558397412077693965463095259122557873262236217658404976698347102794326922790069615887195245831863107970400206309925278865121919002549204387297147195600966029564648609190621771025149373910882461626972031585409984368127609611287562466011206748499125769261260215236221525256485608902042516159007081925018322384735012131476262006411810659438525086828540529090477232185737636877429252319533530644160314228238247825162872350889146420813093019478022684424000505280576726931991018010390118248123228656517024212301677511810013877836698255746913427891206682889325384165543010279892222319366351820296572879437704640523541959186812528631585567729958572020208327736951898388170772832814468128256601766738109098878152801425705850633933905870316637124347397168982521038786014080627516509349445205924339753007259829832519820777980455583706220512282062615989578743024790977914372103387744936731800282259717647319507662883805437889052860117842254283069147990887798879428636215698215960819065929398696280090102962578793454682703853853990473349844590604613221542877001588691293876008777601993043248151722738259033620297901720952811622737479124668246319778254368541345390061824401670521481243343270165446349757788678648264298505705666718941567342297019309926547406993577108973119021266753973657442590905007599419380252698029093632155865759869945439511881542731566422408368846952298009979569001572919153539956486739969206767137670288594235408682365343672720853762221531300492058708489958857323488331814531780743372820008755882039560872903314805142905444244246345048130455259306203762499115425816862948477155819711453764}
19841 160648150957495774804708120727932818252334666025780329007612370246327252: {19841,1129683,1684615,2021538,2197911,2278495,2398099,2734194,3607058,3619191,3705031,4255495,4682883,5106594,5152940,5270258,5680591,5834215,6104252,6183528,6316519,6696794,6956469,7001058,7213495,7528940,7742191,8055751,8115130,8197495,8214483,8593634,8656194,8720360,8918211,9034728,9269751,9430988,9573415,9738156,9810405,9822211,9836994,10164069,10430911,10464432,10751215,10905943,11333036,11475331,11488098,11529991,11772486,12276620,12515215,12901458,13471383,13472840,13493815,13689415,14031730,14168631,14296322,14565331,14566965,14666815,14731944,14775523,15018258,15156945,15431779,15538096,15801823,16078412,16167408,16192578,16393330,16427298,16573437,16838076,17163619,17341625,17480358,17600178,17988051,18188334,18649711,18889423,19178984,19370451,19515898,19671996,19715511,20193698,20404983,20494231,20505548,20809950,20940994,21107890,21437571,21576357,21846818,22154323,22197280,22256215,22350691,22837495,22838023,22969160,23154231,23418415,23681996,23809471,23839383,23841871,24508231,24510991,24523671,24773750,24971940,25329468,25582892,25840305,25901551,26571351,26636736,26644099,26707458,26812963,26984890,27044745,27089215,27404994,27562992,27667495,28102098,28386259,28630495,28794691,28847728,28848140,29293640,29349068,29728500,29966328,29980471,30369583,30436291,31008366,31128403,31209740,31710400,31906316,32037621,32196125,32257159,32315618,32381868,32453694,32507058,32529823,32955345,33004371,33200994,33214879,33543991,33712119,33797383,33813415,34013530,34356594,34387495,34407331,34420178,34617768,34684311,34939519,34961215,35019651,35152368,35219023,35674200,35689683,35725615,35865223,35865763,36030211,36124579,36298495,36358851,36871015,37075388,37451688,37491194,37824415,38011394,38052480,38064031,38140025,38460751,38635350,38648962,38731711,38944989,39280892,39546414,39644578,39728215,39916771,40077224,40078591,40133475,40576098,40589312,40678615,40816236,41211040,41264994,41605634,41787463,41927240,41953458,42007495,42133149,42315223,42525823,42684031,42809040,42870738,43003011,43332951,43445539,43523815,43558194,43689212,43833394,43992183,44245218,44281015,44848495,44979411,45086877,45389298,45662976,45768030,45779912,45801362,45802591,45851023,46362420,47168145,47275383,47571013,47673858,47678914,48160170,48182194,48334988,48622495,48814338,48819232,48908883,48948691,49153330,49367239,49410463,49453248,50077843,50227111,50291138,50312688,50312890,50408994,50757571,51370848,51471730,51502401,52159683,52228578,52755415,52964840,53137218,53818194,53873938,53995304,54253495,54480631,54485750,54548431,54814615,54921636,54943930,55562215,55634904,55703458,55877978,56115560,56495815,56601774,56766754,56892668,57255130,57614815,57792204,57827948,58249532,58305379,58346994,58538851,58870783,58983996,59042911,59235411,59290615,59316931,59436620,59577991,59585445,59695688,60131491,60226531,60375468,60744717,61219298,61625132,61708879,61766076,62014831,62120323,62384588,62413160,62516671,62589267,62632495,62688236,62847218,62873138,63130005,63306498,63446636,63557808,63777391,63879751,64483495,64553623,65046098,65104194,65382900,65386711,65777538,65932716,66674658,66947181,67096951,67149111,67157649,67320908,67338672,67587922,67794978,67958590,68397823,68706156,68998591,69137778,69196328,69741760,70214805,70995871,71118092,71148738,71148818,71323944,71502534,72143031,72214015,72234514,72255932,72928076,73046594,73362705,73382871,74195071,74366611,74768119,74895792,74974796,75158994,75426343,75624823,75629191,75721978,75756006,76120354,76467351,76890979,77172338,77380194,77388483,77845869,77926330,77980423,78238495,78253552,78459480,78572131,78602215,79699025,79832071,80231551,80239437,80444883,80762338,81053571,81275240,81285202,81325015,81550308,81573559,81797672,81868495,81930211,81960332,82109132,82521583,83135215,83180431,83188039,83626930,83690112,84084051,84257766,84863911,84886663,84988983,85359679,85544071,85701319,85902130,86095519,86656818,86906589,86923615,87375079,87456140,87676351,87991383,88035246,88266915,88541815,88589271,88599356,88887891,88926403,89120840,89309530,89781740,89798623,89994668,90080671,90196701,90367634,90377751,90785023,90814159,90861823,90972183,91209871,91231615,91434645,91896441,92022381,92126215,92920183,93334099,93356911,93511596,93639139,93886194,93912415,94011751,94151376,94322658,94472851,94520631,94562732,94709505,94965778,95193938,95497282,95638830,95722759,96283191,96466003,96868983,97007698,97083700,97117495,97283911,97388071,97530288,97590018,97650415,97736323,98242194,98339698,98379176,98537815,99005923,99302659,99502988,99725911,99762258,99778495,99935383,...,319071090613202912344600575295579262577552219879353727061733600771947608867144513691653324979361408727778321205748784868111530233148167100583097592315901186231856147841210844048978249897902049711375583744526230468026241339719590447891420125807299413455941290851201828833125078728428342191646545959223920656012482925234544169681126220916255751989203975490880004904363960195828887092953441907562880148966439628097940747198168190305231358043806319423454009294593832225014453057007707364897167238729852469760163667496499018178884037400166621387476408896749181515884486600033016841056353613414608305989658000316518371314938699750159197836588259250724301452102632360640192740374308211272379350545757591916387823828079975047692650104076445708527399587631663335911134078885408506798139672239401829225587037844886816135562705371967473279616393038853410687604328848633899504163567732978458589915312517843189080431999071734538498085001031603076186489365791519879714105048378561072836673817965079046850844849386342971260497950245970697589191788553458675557727941474211073960368154125219895642904366479792467510663188873699144835403017027969429519848556042667911441272595195325945683574961725459320351180343783748849565465440288698424349089420936680941931366769303705110408046576457495229179403435682811877396762735756093538088084335650318970856331217623909338408832919588946666484413936211127450766086413152525840099561971153104335165657764919405531069822294216749791253561275854387859484203014652414913743408102509942969852128850691261550764296840412767351635993011657582837596118116540948194642888683836809893354326487607465047520654191490384185104423830792868747794661955600309464887918297682878503823806580945720793401449044346972913785932656537724060866323692440458047378114976552191414416931343699016810122748688653891890322854332287884728413353063774238510622887527483577102518197214393009617715989157787630242810793635715848278606455316143878479300295966240471342357371737744308526333719631219639529217034026636000757920865090397986527015585177372184842984775536318452516267715020816755047383620370141836810024333988076248314515419838333479049527730444859319156556960785312938780218792947378351594937858030312491605427847582256159249221702192384902650107163648317229202138558775950900858805474955686521095753473781558179021120941274764024167808886509629510889744748779731166970683375559330768423093923984368114537186466871558155081617405097700423389576470979261494325708156833579290176763381424603721986331698319142954323547323941228598894098044420135154443868190182024055780780985710024766885906919832314315502383036940814013166402989564872227584107388550430446852581429217434106218687002369479667381552812018085092736602505782221865014905248169524636683017972396447758558500078412351013445528964889821110490365663459678531900130960486163886357511399129070379047043640448233798639804918159267822314097349633612553270428447014969353502359378730309934730109953810150706505432891353113023548015509081280643332296950738088062734938285985232497721797671115059230013133823059341309354972207714358166366369517572195682888959305643748673138725294422715733729567180646}
19842 161273317947183287301370850873664752339568618068513100299872032686611129: {455837,574577,811841,1506244,1561277,1639997,1758017,1860542,2033117,2695384,2930548,3032307,3515678,3558641,3645592,3987278,4101291,4458302,4568897,4685117,4825588,5163758,5303741,5410587,5535197,6074141,6243844,6441175,6808792,6879617,6994397,7038638,7261937,7376477,7630315,7659891,7729410,7795841,7905387,7948097,8138237,8176241,8244704,8517917,8934641,8972477,9156378,9275292,9334744,9411175,9840497,10045191,10065662,10103837,10297502,10441841,10501587,10529198,10900450,10952644,10966337,10992158,11293410,11414657,11541592,11788735,11890948,12046304,12122141,12172695,12359668,12641597,12678641,12890451,12984208,12984291,13080540,13115992,13417841,13552092,13595834,13952576,14146482,14166295,14520641,14607234,14667137,14740337,14755491,14904062,15317464,15345775,15434141,15696648,15761777,16274798,16378877,16740797,16781611,16841050,16999554,17201944,17232147,17413118,17570177,17658729,17867438,17961844,18094382,18414930,18538397,18891508,19352187,19422620,19536317,19642592,19713857,20024344,20068337,20098015,20130398,20209260,20492657,21021437,21047595,21126977,21444483,21513341,21556544,21590104,21723677,21863741,21903064,22038641,22097916,22450768,22527387,23222657,23307144,23395997,23466904,23914817,23973730,23984068,24117618,24121841,24156317,24251112,24288867,24431837,24466241,24589995,24640947,25152641,25241762,25257114,25280558,25494641,25631935,25801757,25827268,25946702,25972097,26168462,26220537,26229328,26287348,26312177,26400267,26832878,27023741,27206644,27282501,27327617,27495998,27746600,28034141,28402817,28583428,28711450,28768476,29038238,29273847,29336897,29403377,29503037,29507994,29602495,30290547,30726257,30758322,30792158,30824957,30872308,30989297,31186241,31214925,31219037,31411491,31447502,31661835,31710017,31785844,31883678,31978615,32199197,32491841,32698228,32770227,33295920,33405758,33462641,33623741,33772624,34298177,34453740,34586141,34618097,34905341,35067571,35136638,35350877,35428468,35515648,35522994,35567918,35609944,35731517,36059660,36060175,36520817,36539992,36617050,36643598,36686335,36750656,36960641,37160625,37457910,37461377,37469464,37710977,37994202,38208641,38374338,39012175,39474557,39638000,39873137,39882895,39934337,39955104,40057423,40061187,40477335,40848497,40910318,41107491,41121341,41122142,41344488,41423741,41545358,41755457,41845757,42026141,42153147,42206237,42475841,42716828,42744797,43175824,43271592,43272210,43342744,43666241,43940460,43991357,44005828,44023602,44079857,44109341,44267992,44592750,44949492,45311297,45522499,45537182,45689597,45808792,46037597,46157024,46245748,46344235,46512549,46557437,46692868,46814610,46869824,46988657,47245891,47560817,47565600,47586244,47731841,47859474,48136231,48238478,48473427,48478468,48572802,48582641,48680541,48760587,48836477,48858398,49101115,49677917,49801491,49873217,49935584,50012477,50096530,50123741,50512157,50678141,50736640,50788637,51020295,51513800,51534891,51613277,51630267,51667997,51926652,52233727,52409050,52550702,52728552,52836737,52958078,52998641,53133341,53375297,53511300,54101464,54421648,54581822,54611515,54760577,54892637,54986318,55019992,55390238,55392641,55613082,55759217,55785341,55937944,56177532,56236791,56694641,56799422,57017091,57078720,57160984,57224890,57337348,57401198,57721841,57777268,57801662,57953025,57973443,58077592,58382657,58600862,58635377,58656244,58921338,58993624,59213597,59319621,59466867,59737841,59972548,60115836,60209117,60418735,60519064,60546787,60579137,60702077,60864147,60883968,61024040,61224354,61577342,61581341,61816560,61897491,61971758,62365598,62402237,62408451,62450237,62522177,62890860,62930187,63033844,63565144,63592637,63969341,64213560,64306107,64460657,64670141,65085784,65211844,65225597,65337291,65533818,65707841,65750091,65937664,66163841,66206050,66367827,66367997,66390641,66526337,66639197,67083584,67211992,67379057,67494130,67845341,68083947,68204078,68395841,68471858,68494464,68505341,68652045,68669868,68702043,68832641,68854397,68963057,69164558,69179777,69287837,69543630,69546244,69638104,69739118,69931997,70144450,70568957,70632257,70849624,71115835,71198717,71386241,71455022,71510787,71518371,71572963,71697341,71757592,71779997,72088817,72240255,72273291,72284935,72502482,72811915,73221507,73228848,73245917,73406237,73725341,73729995,73943537,74179872,74200157,74295775,74318141,74416241,74619610,74787197,74851838,75193841,75367037,75436707,75469032,75469335,75613491,76034417,76223297,76878077,76896641,76935391,77031415,77056272,77155697,77207595,77284637,77795992,77814641,77923457,77980735,78016450,78017102,78158237,78266141,78342867,78355841,78360295,78598003,78645328,78889841,78940142,78980548,79048637,79066241,79308295,79447260,79675982,79677341,79705827,80346737,80465597,80500624,80516417,80550257,80727291,80810907,80992956,81369341,81461314,81550577,81728625,81796157,82088477,82233278,82354768,82382454,82414862,82415895,82569917,83110807,83138141,83387357,83452356,83464817,83555187,83665277,83757341,83816967,83925377,83986241,84062141,84077297,84151135,84173340,84213341,84303677,84378737,84402782,84408664,84743744,84795377,84902661,85121342,85150131,85339002,85523777,85624157,85837937,85880477,85882695,86081779,86176241,86495410,86688306,86741922,86805592,86920577,87005594,87069341,87177200,87374298,87520491,87703384,87785597,87910288,87915677,87993341,88149518,88262897,88395538,88475994,88554077,88641857,88890497,88897615,88899544,88939841,89074877,89111537,89154930,89196797,89262908,89532148,89543532,89593457,89784896,89899841,89911358,89969777,90004637,90143357,90319915,90349277,90393304,90485117,90563202,90586241,90612062,90630977,91160095,91179377,91308017,91310462,91608208,91718141,91821341,91828947,91913537,92183704,92236097,92325341,92437698,92560157,92649114,92761841,92826811,92856641,92913137,92988017,92997341,93053117,93218717,93408641,93488957,93576882,93595037,93619740,93673841,93718495,93736718,93897857,94032354,94231937,94270827,94272797,94309707,94345841,94418237,94474097,94770497,94778141,94864984,94936817,94959197,94959747,95098592,95150141,95169954,95193437,95328641,95336712,95495297,95536241,95677277,95769341,95775857,95964398,95967617,96170237,96190708,96206141,96241757,96443777,96466241,96491983,96527357,96582077,96630641,96678557,96756977,96858737,96888641,96918257,97131197,97153838,97255517,97277057,97306877,97369457,97450097,97485341,97569147,97598141,97628923,97655357,97656291,97757117,97766897,97805297,97816940,97833341,97843828,97910717,97963841,98019197,98054141,98074350,98089841,98092157,98167742,98168177,98225537,98258141,98266241,98280317,98335037,98336222,98342141,98352257,98358641,98367677,98393117,98394557,98396657,98406641,98412317,98418497,98425841,98504558,98666307,98899074,99344078,99846062,99861056,...,478606635919804368516900862943368893866328329819030590592600401157921413300716770537479987469042113091667481808623177302167295349722250650874646388473851779347784221761816266073467374846853074567063375616789345702039362009579385671837130188710949120183911936276802743249687618092642513287469818938835880984018724387851816254521689331374383627983805963236320007356545940293743330639430162861344320223449659442146911120797252285457847037065709479135181013941890748337521679585511561047345750858094778704640245501244748527268326056100249932081214613345123772273826729900049525261584530420121912458984487000474777556972408049625238796754882388876086452178153948540960289110561462316908569025818636387874581735742119962571538975156114668562791099381447495003866701118328112760197209508359102743838380556767330224203344058057951209919424589558280116031406493272950849256245351599467687884872968776764783620647998607601807747127501547404614279734048687279819571157572567841609255010726947618570276267274079514456890746925368956046383787682830188013336591912211316610940552231187829843464356549719688701265994783310548717253104525541954144279772834064001867161908892792988918525362442588188980526770515675623274348198160433047636523634131405021412897050153955557665612069864686242843769105153524217816095144103634140307132126503475478456284496826435864007613249379383419999726620904316691176149129619728788760149342956729656502748486647379108296604733441325124686880341913781581789226304521978622370615112153764914454778193276036892326146445260619151027453989517486374256394177174811422291964333025755214840031489731411197571280981287235576277656635746189303121691992933400464197331877446524317755735709871418581190102173566520459370678898984806586091299485538660687071067172464828287121625397015548525215184123032980837835484281498431827092620029595661357765934331291225365653777295821589514426573983736681445364216190453573772417909682974215817718950443949360707013536057606616462789500579446829459293825551039954001136881297635596979790523377766058277264477163304477678774401572531225132571075430555212755215036500982114372471773129757500218574291595667288978734835441177969408170328189421067527392406787045468737408141771373384238873832553288577353975160745472475843803207838163926351288208212433529781643630210672337268531681411912146036251713329764444266334617123169596750456025063338996152634640885976552171805779700307337232622426107646550635084364706468892241488562235250368935265145072136905582979497547478714431485320985911842898341147066630202731665802285273036083671171478565037150328860379748471473253574555411221019749604484347308341376161082825645670278872143826151159328030503554219501072329218027127639104903758673332797522357872254286955024526958594671637837750117618526520168293447334731665735548495189517797850196440729245829536267098693605568570565460672350697959707377238901733471146024450418829905642670522454030253539068095464902095164930715226059758149337029669535322023263621920964998445426107132094102407428977848746582696506672588845019700734589011964032458311571537249549554276358293524333438958465623009708087941634073600594350770969}
19843 161900900622195953631787637819469089163981700850319098757151808228587873: {19843,39682,1882805,2259366,2358461,2790813,2834117,3189893,3369230,3663185,4043076,4140917,4378673,4395822,4556990,4796198,5273517,5468388,5957693,5980917,6031985,6687453,6752141,7214116,7238382,7410062,7464977,7745637,7804805,8167901,8510990,8653037,9365766,9520433,10098893,10213188,10305880,10540516,10557957,11361182,11476493,11594115,11658077,11668430,12208504,12367056,12633038,13393588,13402781,13626353,13690805,13734567,13912938,14002116,14426990,14863685,15051701,15057880,15098493,15446253,15449585,15484382,15793797,15866477,16111502,16230260,16350675,16394990,16428966,16488237,16940115,17165357,17187268,17213573,17312388,17440720,17521301,17660861,17836422,18069456,18237557,18539502,18861976,18891341,19146830,19165181,19476312,19559453,19620810,19644422,19673988,20284277,20328138,20393751,20533541,20861822,20928864,21219723,21220721,21502430,21811886,21910851,22356093,22452305,22505501,22666072,22905317,22950662,22976196,23059982,23544972,23614385,24278275,24412197,24513473,24553240,25030430,25261575,25499331,25802916,26119677,26414453,26646797,26801157,26942766,26945680,26987630,27141573,27378830,27394637,27622395,27721877,28063460,28337262,28592644,28964273,29130662,29133930,29333630,29463888,29551046,29980085,30036516,30195597,30313890,30439373,30863558,31076192,31158701,31442933,31603646,31972493,32156824,32284085,32334816,32385156,32464037,32690141,32785781,32786660,32854596,32859185,33146874,33547397,33676152,34008305,34327238,34360901,34683250,34835117,34943057,34960716,35200356,35729285,35960595,35976102,36128237,36176427,36356861,36376668,36535601,37299422,37349141,37778846,37862643,37885671,37920837,37924901,38122097,38357968,38590385,38734493,38735633,38740902,38920053,39031796,39252693,39343992,39431022,39732305,39920813,40082693,40084661,40249317,40387396,40809966,40872785,40988462,41011096,41243997,41619900,41881988,42215780,42530141,42875142,43067175,43152714,43557357,43693636,44261991,44285585,44308646,44394560,44512430,44669357,44701382,45074575,45674990,45676046,45938320,46137483,46188237,46308462,46520381,46709573,46836830,47171253,47338781,47363992,47528861,47618942,47678766,47683742,47825517,48100877,48142493,48932981,48945701,49016462,49021982,49047342,49379957,49547500,49943880,50015861,50108637,50658936,50817893,51165784,51245261,51619421,51680610,51775397,51803102,52704957,52954181,53142702,53273472,53284491,53288198,53351877,53396035,53414916,53625926,53969780,54089490,54178430,54809988,54925575,54965397,55007285,55125984,55334990,55463921,55619501,56186865,56204196,56772518,56950061,56991303,57260990,57561507,57589382,57662021,57695456,57696280,57807185,57848453,58366085,58587280,58698136,58810493,59359313,59457000,59482805,59932656,59960942,60598085,60739166,60872582,60890117,60933341,61365477,61683213,61923053,61993421,62016732,62256806,62318037,62419480,62787893,62920157,62930837,63420800,63812632,64075242,64392250,64514318,64631236,64763736,64907388,64908315,64928081,65014116,65059646,65910690,66008742,66035403,66401988,66429758,66889125,67087982,67424238,67594766,67626830,68027060,68071493,68305773,68713188,68774990,68814662,68840356,68906357,69005597,69235536,69368622,69879038,69922430,70039302,70221915,70304736,70369973,70410353,70438046,70735601,71003141,71348400,71379366,71451230,71671685,71730446,71731526,71789211,72060422,72221585,72249158,72357717,72507221,72596990,72717702,72859203,73209221,73287597,73320305,73742030,73857581,74150776,74314973,74795237,74903376,74965685,74982388,75144795,75648830,75954893,76022788,76104960,76128062,76280050,76285073,76291121,76740461,76921502,77270700,77297924,77463422,77787101,77889978,77941301,77988341,78561784,78613575,78792305,78826053,79092828,79094141,79289156,79437117,79438001,79456430,79833542,79924541,80154448,80157182,80266950,80660741,81152196,81178624,81357230,81514805,81632472,81872733,82422080,82479477,82529988,83006861,83085357,83188877,83211268,83419623,83574926,83854480,83906916,84014990,84266298,84521861,84630446,85051646,85199133,85368062,85552757,85618080,85741476,85837335,86006022,86101797,86665902,86702493,86891078,86932805,87047630,87116388,87238013,87378424,87384077,87666788,87685493,87764177,87887813,87901293,87984366,88382007,88473701,88490436,88562030,89379953,89670557,89696990,89807741,89958822,90173754,90276893,90778596,90871157,91325952,91536060,91559824,91602724,91605182,91702046,91836531,92033141,92366013,92724840,92857973,92957637,93548397,94021373,94336290,94346993,94550766,95142026,95162477,95347716,95357828,95659133,96320340,96364388,96669976,96826613,97244990,97628676,97638464,97817766,97897382,98300727,98306660,98313137,98725685,98734478,98820926,98906496,99309075,99736037,...,638142181226405824689201150591158525155104439758707454123467201543895217734289027383306649958722817455556642411497569736223060466296334201166195184631802372463712295682421688097956499795804099422751167489052460936052482679439180895782840251614598826911882581702403657666250157456856684383293091918447841312024965850469088339362252441832511503978407950981760009808727920391657774185906883815125760297932879256195881494396336380610462716087612638846908018589187664450028906114015414729794334477459704939520327334992998036357768074800333242774952817793498363031768973200066033682112707226829216611979316000633036742629877399500318395673176518501448602904205264721280385480748616422544758701091515183832775647656159950095385300208152891417054799175263326671822268157770817013596279344478803658451174075689773632271125410743934946559232786077706821375208657697267799008327135465956917179830625035686378160863998143469076996170002063206152372978731583039759428210096757122145673347635930158093701689698772685942520995900491941395178383577106917351115455882948422147920736308250439791285808732959584935021326377747398289670806034055938859039697112085335822882545190390651891367149923450918640702360687567497699130930880577396848698178841873361883862733538607410220816093152914990458358806871365623754793525471512187076176168671300637941712662435247818676817665839177893332968827872422254901532172826305051680199123942306208670331315529838811062139644588433499582507122551708775718968406029304829827486816205019885939704257701382523101528593680825534703271986023315165675192236233081896389285777367673619786708652975214930095041308382980768370208847661585737495589323911200618929775836595365757007647613161891441586802898088693945827571865313075448121732647384880916094756229953104382828833862687398033620245497377307783780645708664575769456826706127548477021245775054967154205036394428786019235431978315575260485621587271431696557212910632287756958600591932480942684714743475488617052667439262439279058434068053272001515841730180795973054031170354744369685969551072636905032535430041633510094767240740283673620048667976152496629030839676666958099055460889718638313113921570625877560437585894756703189875716060624983210855695164512318498443404384769805300214327296634458404277117551901801717610949911373042191506947563116358042241882549528048335617773019259021779489497559462333941366751118661536846187847968736229074372933743116310163234810195400846779152941958522988651416313667158580353526762849207443972663396638285908647094647882457197788196088840270308887736380364048111561561971420049533771813839664628631004766073881628026332805979129744455168214777100860893705162858434868212437374004738959334763105624036170185473205011564443730029810496339049273366035944792895517117000156824702026891057929779642220980731326919357063800261920972327772715022798258140758094087280896467597279609836318535644628194699267225106540856894029938707004718757460619869460219907620301413010865782706226047096031018162561286664593901476176125469876571970464995443595342230118460026267646118682618709944415428716332732739035144391365777918611287497346277450588845431467459134361292}
19844 162530908250953366533865899865772378603412423169618562550310584738569957: {59523,614203,851443,911674,1149154,1325059,1623682,2504059,3012488,3090859,3122554,3208003,3279994,3389049,3516034,3721084,4066234,4724323,5053845,5390768,5861096,6064614,6113203,6573859,6593733,6835485,7031356,7117282,7148059,7194297,7262683,7291184,7720459,7974556,8177083,8202582,8859859,8916604,8973403,9017645,9137794,9370234,9651176,10327516,10607482,10682441,10821174,10857573,11004883,11070394,11115093,11117059,11676859,11788603,12123403,12148282,12487688,12679963,12766485,12882350,13175645,13617584,13759234,13988794,14048649,14077276,14448859,14523874,14752954,15260630,15319782,15458820,15591682,15810774,15896194,16276474,16352482,16489408,16504229,16741985,17035834,17041773,17502645,17869282,17944954,18312756,18550584,18669488,18822350,18949557,19680994,19751443,19832813,20090382,20131324,20207674,20287825,20388859,20595004,20869407,20883682,21003174,21058396,21484085,21550723,21640485,21800900,21905288,21932674,21984316,22586820,22829314,23083184,23226573,23577470,23781896,23951923,24092608,24158923,24167253,24244282,24345390,24468883,24572059,24592485,24643449,24719336,25283194,25357282,25780902,25968416,25968582,26161080,26231984,26620459,26754633,26835682,27104184,27191668,27809253,27905152,28037203,28137221,28238443,28292964,28332590,28720245,29041282,29214468,29334274,29431215,29466633,29480674,29510982,29539483,29639059,29808124,30235003,30492207,30634928,30691550,30868282,31222483,31292733,31393296,31523554,31615459,32202763,32253645,32495443,32549596,32717829,32757754,32981803,33481594,33563059,33563222,33659683,33682100,33999108,34403888,34425993,34464294,34589973,34621963,34826236,35079325,35140354,35317458,35577043,35734876,35740805,35884709,35923688,35957059,36188764,36524923,36829860,36996163,37076794,37545645,37746403,37783016,37839859,38212963,38704374,38845240,39072634,39140683,39285184,39427714,40048688,40136674,40196030,40244443,40260796,40414149,40418520,40481445,40983325,40985314,41065459,41068245,41443493,41519059,42042874,42095190,42253954,42505893,42869059,42888966,43026682,43113088,43180208,43404523,43447354,43695993,43700895,43727482,43806128,44000445,44077282,44114443,44195832,44326569,44770061,44901536,45054774,45470835,45956059,46295337,46389859,46445314,46614288,46791994,46933808,47252059,47405469,47594923,47680459,47765923,47829634,47947460,47968136,48192163,48235236,48243682,48312634,48447043,48502224,48531859,48577734,48789745,48863674,48932482,49179990,49281894,49376059,49720311,50305282,50483524,50484245,50514228,50545843,50561116,50989282,51263870,51360869,51490857,51603514,51654536,51893404,51944194,52024875,52336924,52352485,52441074,52458656,52574696,52624354,52769725,52800534,53085859,53665756,53799317,53964153,54047482,54210283,54413288,54565002,54617045,54655234,54991996,55493200,55792123,55836053,55949133,56068282,56338963,56668269,56727403,56805634,56888273,57166856,57345163,57422900,57536952,58076476,58110883,58111353,58547694,58642603,58673794,58806754,59006074,59015988,59146533,59204990,60142363,60581094,61214949,61452514,61482693,61516644,61584316,61613323,61649914,61744616,61934375,61978594,62265859,62372482,62429850,62438074,62554003,62697643,62822982,62895004,62984059,63323670,63420034,63571688,63624283,63695059,63767356,63957230,64047859,64312713,64398394,64678363,64729071,64881929,64983682,65396456,65441059,65540454,65716243,66195043,66399163,66462969,66591840,66768645,66811516,66925282,67052073,67247482,67462225,67545248,68512485,68514069,68596354,68741561,68863363,68907480,69172282,69188803,69236194,69453637,69462693,69770059,69810682,70135142,70154323,70255245,70273276,70662643,70701754,70725859,70856936,71031296,71045988,71135836,71219888,71416483,71428413,71463034,71518149,71525613,72036763,72119320,72120350,72344203,72527803,72832363,73041634,73079984,73234100,73287196,73372670,73501312,73524693,73532973,73571013,73794859,73921282,74151043,74321250,74445883,74915820,74922754,74938928,74972059,75261859,75319603,75421954,75988404,76417282,76456121,76748676,76907203,77520915,77704653,78024350,78060859,78115003,78330859,78384643,78918523,78949114,79077283,79276000,79445203,79714053,79746274,79765790,79868674,79910208,79932297,79964683,80114846,80122374,80170459,80438889,80629243,80789045,80931859,80954670,81134235,81267645,81696994,81820636,82116403,82214982,82242682,82244284,82454083,82688976,82847482,83002485,83090716,83352859,83510914,83691514,83998483,84052282,84089563,84225643,84306294,84316003,84412474,84586229,84674563,84719059,84940459,84951682,85033825,85129693,85158777,85160059,85433656,85489594,85808059,85891485,86050445,86231059,86351648,86384073,86543184,86544420,86685488,87055459,87095923,87257059,87332482,87811963,87880920,87890083,87982714,88011656,88047204,88159714,88218682,88535984,88580203,88953523,89137483,89185500,89855323,89898984,89941413,90622594,91044998,91074364,91074859,91108749,91269043,91308873,91379194,91555459,91617584,91743163,92050243,92075194,92140963,92314048,92491496,92688470,92888549,93012523,93025098,93068323,93114874,93385209,93385736,93424003,93450859,93629220,93727985,93739648,93977314,94247683,94491782,94794163,94817059,95028485,95121634,95130043,95131200,95172488,95366059,95463682,95718948,95792443,95870059,95984323,96059059,96112863,96272462,96311563,96476956,96500059,96588375,96622405,96771477,96820459,96946854,96956936,96984403,97027603,97098163,97145604,97165282,97243009,97361082,97374859,97483723,97521174,97589469,97608859,97619803,97672954,97716796,97755523,97823563,97860859,97897003,97905859,98030059,98110843,98164123,98202230,98277163,98343043,98410363,98443483,98866035,99013113,99111445,99355834,99562169,99602982,99644637,99746434,99871168,...,957213271839608737033801725886737787732656659638061181185200802315842826601433541074959974938084226183334963617246354604334590699444501301749292776947703558695568443523632532146934749693706149134126751233578691404078724019158771343674260377421898240367823872553605486499375236185285026574939637877671761968037448775703632509043378662748767255967611926472640014713091880587486661278860325722688640446899318884293822241594504570915694074131418958270362027883781496675043359171023122094691501716189557409280491002489497054536652112200499864162429226690247544547653459800099050523169060840243824917968974000949555113944816099250477593509764777752172904356307897081920578221122924633817138051637272775749163471484239925143077950312229337125582198762894990007733402236656225520394419016718205487676761113534660448406688116115902419838849179116560232062812986545901698512490703198935375769745937553529567241295997215203615494255003094809228559468097374559639142315145135683218510021453895237140552534548159028913781493850737912092767575365660376026673183824422633221881104462375659686928713099439377402531989566621097434506209051083908288559545668128003734323817785585977837050724885176377961053541031351246548696396320866095273047268262810042825794100307911115331224139729372485687538210307048435632190288207268280614264253006950956912568993652871728015226498758766839999453241808633382352298259239457577520298685913459313005496973294758216593209466882650249373760683827563163578452609043957244741230224307529828909556386552073784652292890521238302054907979034972748512788354349622844583928666051510429680062979462822395142561962574471152555313271492378606243383985866800928394663754893048635511471419742837162380204347133040918741357797969613172182598971077321374142134344929656574243250794031097050430368246065961675670968562996863654185240059191322715531868662582450731307554591643179028853147967473362890728432380907147544835819365948431635437900887898721414027072115213232925579001158893658918587651102079908002273762595271193959581046755532116554528954326608955357548803145062450265142150861110425510430073001964228744943546259515000437148583191334577957469670882355938816340656378842135054784813574090937474816283542746768477747665106577154707950321490944951687606415676327852702576416424867059563287260421344674537063362823824292072503426659528888532669234246339193500912050126677992305269281771953104343611559400614674465244852215293101270168729412937784482977124470500737870530290144273811165958995094957428862970641971823685796682294133260405463331604570546072167342342957130074300657720759496942946507149110822442039499208968694616682752322165651291340557744287652302318656061007108439002144658436054255278209807517346665595044715744508573910049053917189343275675500235237053040336586894669463331471096990379035595700392881458491659072534197387211137141130921344701395919414754477803466942292048900837659811285341044908060507078136190929804190329861430452119516298674059339070644046527243841929996890852214264188204814857955697493165393013345177690039401469178023928064916623143074499099108552716587048666877916931246019416175883268147201188701541938}
19845 163163350137184420444235466640382181054516883909667114260207952602153655: {39686,79364,1367511,1723731,2435523,2635927,3349411,3765610,4518732,4651355,4683831,4716922,4893811,4919991,5128459,5274051,5581626,5668234,6099351,6379786,6738460,7326370,7979803,8086152,8281834,8444779,8757346,8789195,8791644,8926643,9096921,9113980,9592396,9968195,10547034,10675923,10926727,10936776,11145755,11915386,11961834,12063970,12303873,12909395,13201931,13374906,13504282,13706691,14055351,14428232,14476764,14820124,14929954,15434903,15491274,15609610,15911223,16231761,16335802,16605591,17021980,17306074,17596595,18032663,18222423,18731532,18751291,19040866,19167127,19323525,20197786,20286331,20426376,20611760,20638851,20809159,20983191,21081032,21115914,21629419,21785811,22129431,22684219,22722364,22890945,22952986,22979673,23188230,23218679,23316154,23336860,23387523,23716161,23844291,24414711,24417008,24528723,24734112,25153207,25164155,25266076,25553751,25743755,26322995,26787176,26803923,26805562,26818391,26917431,27251125,27252706,27381610,27397411,27469134,27480395,27825876,28004232,28233525,28853980,29521491,29683379,29727370,29865107,30103402,30115760,30135573,30196986,30311511,30375731,30892506,30899170,30968764,31325523,31433227,31504761,31587594,31732954,32223004,32253383,32460520,32701350,32789980,32857932,32899011,32976474,33060139,33221603,33871259,33880230,33989585,34243971,34330714,34374536,34427146,34624776,34881440,35042602,35321722,35366205,35672844,36138912,36366423,36475114,36518085,36534391,37079004,37260155,37352923,37414883,37681751,37723952,37782682,37924791,38035923,38293660,38330362,38633803,38671353,38952624,38952873,39118906,39241620,39288844,39347976,40253523,40568554,40656276,40686995,40787502,40833907,41067082,41723644,41857728,41972119,42102625,42439446,42441442,42498885,42918923,43004860,43532795,43561923,43623772,43629959,43821702,43865219,44001411,44221011,44266473,44668595,44712186,44904610,45011002,45197719,45235955,45332144,45810634,45901324,45952392,46002859,46037325,46119964,46302423,47089944,47228770,47285331,47533687,47611627,48556550,48824394,49026946,49106480,49136631,50020999,50060860,50222391,50325995,50344833,50523150,50915387,50998662,51223691,51605832,51696441,51993367,52239354,52710531,52828906,52976187,53293594,53602314,53885532,53891360,53975260,54026539,54068663,54283146,54736247,54757660,54789274,55244790,55344179,55443754,55446851,55615191,55625227,55817579,56126920,56618903,56674524,56846491,57185288,57221899,57928546,58056561,58261324,58267860,58358131,58608951,58667260,58927776,59102092,59141571,59289019,59934325,59960170,60073032,60205011,60294045,60391194,60438323,60627780,60878746,61157027,61477971,61727116,61999819,62152384,62317402,62885866,62980643,63064311,63104405,63142785,63201395,63207292,63380931,63944986,64313648,64333449,64540023,64568170,64669632,64770312,64866755,64928074,65171031,65380282,65421155,65571562,65573320,65591223,65709192,65718370,65828999,66115923,66293748,67082195,67094794,67352304,67582161,68016610,68654476,68669687,68721802,68739995,69366500,69667971,69670234,69886114,69921432,70187991,70400712,71458570,71744451,71778625,71921190,71952204,72256474,72352854,72365523,72468951,72595595,72713722,72753336,72866601,73071202,73295511,73398723,73769985,73922841,74598844,74698282,74754449,75457923,75557692,75725286,75771342,75841674,75849802,76244194,76483923,76715936,76895805,76980395,77010199,77180770,77405271,77468986,77471266,77481804,77507719,77840106,77916291,78063592,78505386,78618755,78661611,78687984,78862044,78936531,79200801,79446067,79464610,79709195,79841626,80165386,80169322,80498634,80583379,80774792,80930059,81071223,81619932,81712519,81745570,81847503,81976924,81982851,82022192,82442747,82487994,83057911,83239800,83275927,83514395,83535059,83763976,83912803,84102423,84431560,84837319,85060282,85208451,85266547,85505699,85718963,85750284,86134350,86305428,86410739,86699891,87114714,87246871,87387272,87821541,87841595,88010691,88210131,88394371,88509111,88523982,88571170,88617292,88789120,88807485,88919795,89024860,89338714,89402764,89443307,90149150,90871641,91349980,91352092,91542625,91608995,91876640,91989623,92178771,92274966,92376474,92474871,92481019,92616924,92967891,93040762,93419146,93501659,93558723,93644775,93657111,93673660,94234473,94342506,94492343,94677562,94727984,94985505,95057722,95130051,95237884,95357532,95367484,95651034,95935845,96201754,96284986,96597591,97475523,97865962,97891402,98032924,98043964,98094684,98240483,98310681,98759914,99095000,99887760,...,1435819907759413105550702588830106681598984989457091771777801203473764239902150311612439962407126339275002445425869531906501886049166751952623939165421555338043352665285448798220402124540559223701190126850368037106118086028738157015511390566132847360551735808830408229749062854277927539862409456816507642952056173163555448763565067994123150883951417889708960022069637820881229991918290488584032960670348978326440733362391756856373541111197128437405543041825672245012565038756534683142037252574284336113920736503734245581804978168300749796243643840035371316821480189700148575784753591260365737376953461001424332670917224148875716390264647166628259356534461845622880867331684386950725707077455909163623745207226359887714616925468344005688373298144342485011600103354984338280591628525077308231515141670301990672610032174173853629758273768674840348094219479818852547768736054798403063654618906330294350861943995822805423241382504642213842839202146061839458713472717703524827765032180842855710828801822238543370672240776106868139151363048490564040009775736633949832821656693563489530393069649159066103797984349931646151759313576625862432839318502192005601485726678378966755576087327764566941580311547026869823044594481299142909570902394215064238691150461866672996836209594058728531307315460572653448285432310902420921396379510426435368853490479307592022839748138150259999179862712950073528447388859186366280448028870188969508245459942137324889814200323975374060641025741344745367678913565935867111845336461294743364334579828110676978439335781857453082361968552459122769182531524434266875892999077265644520094469194233592713842943861706728832969907238567909365075978800201392591995632339572953267207129614255743570306520699561378112036696954419758273898456615982061213201517394484861364876191046645575645552369098942513506452844495295481277860088786984073297802993873676096961331887464768543279721951210044336092648571360721317253729048922647453156851331848082121040608172819849388368501738340488377881476653119862003410643892906790939371570133298174831793431489913433036323204717593675397713226291665638265645109502946343117415319389272500655722874787001866936204506323533908224510984568263202582177220361136406212224425314120152716621497659865732061925482236417427531409623514491779053864624637300589344930890632017011805595044235736438108755139989293332799003851369508790251368075190016988457903922657929656515417339100922011697867278322939651905253094119406676724465686705751106805795435216410716748938492642436143294455962957735528695023441199890608194997406855819108251013514435695111450986581139245414419760723666233663059248813453041925024128483248476937010836616431478453477984091510662658503216987654081382917314711276019998392567073616762860865073580875784014913513250352855579560504880342004194997206645485568553393550589322187737488608801296080816705711696382017052093879122131716705200413438073351256489716928011567362090760617204286394706285494792145678179274448011089008605966069790865762894995336278321396282307222286933546239748089520017766535059102203767035892097374934714611748648662829074880573000316875396869029124263824902220801783052312907}
19846 163798235620060875040833571758153666436394845891362174816944715043106905: {59529,99205,119046,1049029,1228406,1640329,1702886,1823348,2112073,2298308,2650118,2700133,2934853,3247364,5008118,5150329,5266213,5648415,5729029,6024976,6181718,6245108,6416006,6559988,6778098,7032068,7075383,7442168,7454329,7568773,8132468,8139913,8372439,8423075,8502351,8595529,9049993,9448646,9569679,10107690,10743973,10781536,10989555,11305033,11392475,11722192,11990495,12129228,12226406,12422751,12624703,13088329,13136019,13147718,13187466,13670970,14062712,14234564,14296118,14388594,14525366,14582368,14743429,15400933,15440918,15820551,15949112,16354166,16405164,16816633,17573893,17719718,17833208,17873079,17897353,17942751,17946806,18035290,18095955,18275588,18435013,18445903,18525155,18740468,19302352,19718053,20062359,20256423,20567653,20655032,20673529,21214964,21277475,21364882,21642348,21715146,22009766,22140788,22230186,22234118,22394931,22880293,23236911,23353718,23401033,23414415,23438779,23577206,24230473,24246806,24296564,24503703,24975376,25359926,25532970,25764700,25959111,26351290,26371103,26385829,27235168,27401029,27518468,27977588,28097298,28154552,28402955,28509433,28561299,28897718,29047748,29171075,29409829,29505908,30077719,30296679,30521260,30639564,30798853,30917640,31183364,31582595,31621548,31673871,31792388,32271433,32552948,32704964,32978816,33008458,33483970,33920773,34071668,34083546,34209673,34429479,34782345,34974231,35005290,35738564,35889908,36067475,36308473,36625512,36686329,37101168,37250953,37338976,37644700,37899114,38710955,39361988,39391333,39502886,39665626,39851593,39943429,40180764,40208343,40262648,40278755,40415348,40575650,40777718,40879059,40987475,41072415,41190008,41203701,41221573,41738814,41767364,42006348,42116792,42754633,42968170,43101446,43280970,43601800,43810576,43865348,43968632,44591055,45155103,45173640,45295479,45658628,45671173,45758329,46106233,46166368,46338759,46348755,46453146,46712293,47057029,47154940,47381391,47563792,47599431,47867075,47903846,47999113,48185216,48317846,48334506,48488564,48690780,48937766,49052025,49111055,49144118,49184970,49185529,49269733,49286898,49438672,49464711,49940773,50024329,50037127,50566388,50714564,50820345,50855929,51496071,51561804,51640719,51680329,51936832,51937164,52154555,52322160,52463968,52563903,52982583,53240918,53509266,53671364,53756075,54208368,54383336,54529715,54588553,54712671,55106183,55379833,55618506,55810304,56074406,56085829,56274442,56476886,56585928,56665180,56674023,57376655,57440490,57495543,57557113,57649955,58082564,58397029,58428936,58668548,58678359,58700293,58775929,58862430,58933266,58961348,59021964,59078966,59228233,59278118,59616248,59976313,60470006,60717193,60852831,60984414,61181253,61269856,61383100,61600623,61736564,62444966,62465929,62576075,62585466,62786592,62947379,63047108,63230918,63581011,63659169,63662163,63962053,64243429,64313593,64405526,64507290,64990886,65099192,65435658,65515508,65732553,65907493,65963606,66963188,67068279,67126118,67126444,67319366,67356915,67364200,67396453,67469075,67516503,67663429,67998216,68305643,68447075,68654329,68715951,68807776,68851986,68928588,69179946,69241093,69243926,69564553,69652472,69950329,70158650,70280708,70634916,70677943,70843155,70903429,71154086,71469752,71481610,71769418,71847376,71914118,72149029,72377528,72826655,72834825,73003813,73049846,73124773,73236591,73293479,73334075,73540419,73659720,73877615,73903993,73992326,74153588,74243543,74259529,75079033,75091290,75194953,75492806,75566032,75655753,75679718,75784725,76055173,76425926,76463863,76497993,77066053,77121529,77158895,77176933,77408748,77690480,77999353,78145268,78281366,78359031,78570368,78699013,78855428,79009115,79070713,79243359,79940391,80097376,80113273,80273348,80369413,80392060,80403471,80488886,80521592,80573029,80828298,80837040,80962890,81424719,81573829,81868453,81966650,81970628,82081571,82111993,82130918,82136490,82183911,82593673,82867185,82886986,82973833,83038118,83165631,83442553,83766373,84085748,84190380,84507908,84582853,85011786,85114213,85505929,85738118,85763833,85777932,85818095,85976773,86053364,86226176,86360416,86397253,86708125,86809046,86892819,86894708,87391986,87401790,87454964,87612256,87812233,88000890,88154564,88200313,88228886,88315333,88391664,88653138,88731529,89102329,89540122,89609353,89803072,89940255,90109548,90513529,90586791,90941670,90980233,91013029,91318119,91622473,91840453,91912118,92265829,92590153,92590674,92677093,92705929,92779718,92890628,92962213,92990329,93102073,93228576,93248555,93267529,93294853,93476103,93537529,93583988,93643513,93867616,94279813,94328799,94401673,94447115,94449913,94504118,94521733,94569253,94810938,94916473,95028613,95144951,95189846,95311753,95360918,95531846,95659268,95822053,95894920,95917479,95936272,96032329,96215929,96287353,96384326,96470472,96487364,96625268,96643429,96852255,96893413,96894086,97004448,97063718,97097029,97155468,97247113,97350793,97392111,97544329,97579490,97612153,97727348,97848133,97864964,97998073,98022373,98070423,98205829,98211913,98313829,98353033,98357343,98359980,98375929,98405413,98433529,98441593,98458873,98465929,98563788,98577555,98752118,99440622,...,1914426543679217474067603451773475575465313319276122362370401604631685653202867082149919949876168452366669927234492709208669181398889002603498585553895407117391136887047265064293869499387412298268253502467157382808157448038317542687348520754843796480735647745107210972998750472370570053149879275755343523936074897551407265018086757325497534511935223852945280029426183761174973322557720651445377280893798637768587644483189009141831388148262837916540724055767562993350086718342046244189383003432379114818560982004978994109073304224400999728324858453380495089095306919600198101046338121680487649835937948001899110227889632198500955187019529555504345808712615794163841156442245849267634276103274545551498326942968479850286155900624458674251164397525789980015466804473312451040788838033436410975353522227069320896813376232231804839677698358233120464125625973091803397024981406397870751539491875107059134482591994430407230988510006189618457118936194749119278284630290271366437020042907790474281105069096318057827562987701475824185535150731320752053346367648845266443762208924751319373857426198878754805063979133242194869012418102167816577119091336256007468647635571171955674101449770352755922107082062702493097392792641732190546094536525620085651588200615822230662448279458744971375076420614096871264380576414536561228528506013901913825137987305743456030452997517533679998906483617266764704596518478915155040597371826918626010993946589516433186418933765300498747521367655126327156905218087914489482460448615059657819112773104147569304585781042476604109815958069945497025576708699245689167857332103020859360125958925644790285123925148942305110626542984757212486767971733601856789327509786097271022942839485674324760408694266081837482715595939226344365197942154642748284268689859313148486501588062194100860736492131923351341937125993727308370480118382645431063737325164901462615109183286358057706295934946725781456864761814295089671638731896863270875801775797442828054144230426465851158002317787317837175302204159816004547525190542387919162093511064233109057908653217910715097606290124900530284301722220851020860146003928457489887092519030000874297166382669155914939341764711877632681312757684270109569627148181874949632567085493536955495330213154309415900642981889903375212831352655705405152832849734119126574520842689349074126725647648584145006853319057777065338468492678387001824100253355984610538563543906208687223118801229348930489704430586202540337458825875568965954248941001475741060580288547622331917990189914857725941283943647371593364588266520810926663209141092144334684685914260148601315441518993885893014298221644884078998417937389233365504644331302582681115488575304604637312122014216878004289316872108510556419615034693331190089431489017147820098107834378686551351000470474106080673173789338926662942193980758071191400785762916983318145068394774422274282261842689402791838829508955606933884584097801675319622570682089816121014156272381859608380659722860904239032597348118678141288093054487683859993781704428528376409629715911394986330786026690355380078802938356047856129833246286148998198217105433174097333755833862492038832351766536294402377403083876}
19847 164435574074331420433923421990058125661415577286158399191798244291384647: {79372,158728,178569,1842609,2279185,2554329,2735022,2872885,3447462,3706153,3975177,4059205,4871046,5012689,5271854,5725957,6511897,6698822,7512177,7531220,7806385,8199985,8790085,9037464,9272577,9302710,9362089,9367662,9433844,9624009,9761893,9787622,9839982,10165585,10167147,10256918,10474729,10548102,10549669,11163252,11336468,12198702,12304873,12449797,12759572,12835273,13476920,13955473,14112409,14172969,14652740,15161535,15604057,15869689,15959606,16172304,16563668,16889558,17514692,17578390,17583288,17793205,17819077,17853286,18034489,18073153,18193842,18227960,18241249,18339609,19184792,19721577,19781199,19936390,20506455,21061513,21094068,21311329,21351846,21378937,21444177,21582891,21788049,21853454,21873552,22291510,22510057,22844485,23161377,23425585,23514853,23652673,23830772,23849113,23923668,24127940,24531249,24607746,24635233,25818790,26403862,26518705,26525593,26579577,26749812,26920209,27008564,27052935,27413382,27440257,27533473,27675985,27727489,28110702,28856464,28953528,29640248,29686393,29859908,30116713,30370705,30869806,30982548,31219220,31822446,32047323,32205875,32256649,32266993,32463522,32470609,32572719,32671604,33014649,33161929,33211182,33345279,33351177,33378649,33807649,34043960,34367857,34398085,34541977,34612148,34842169,34971985,35030577,35080357,35193190,35229817,35365809,36041257,36065326,36309685,36370209,36444846,36852193,36882385,37463064,37502582,37856113,37876357,38039889,38075593,38081732,38151575,38299455,38334254,38376193,38472553,38647050,38979205,39526935,39740485,40395572,40572662,40691185,40852752,40881205,41223520,41277702,41618318,41966382,42145947,42162064,42231828,42589585,42923269,43116433,43258838,43346577,43571622,43634377,43869673,44010937,44217589,44258862,44673205,44862385,45012529,45222049,45368438,45444728,45781890,45905972,45959346,46376460,46437358,46632308,46673720,46775046,47055875,47432322,47585419,47688582,48523537,48829422,48834016,48963673,49025833,49057446,49202485,49468224,49512687,49851973,50225955,50242489,50306414,50328310,50519185,50532152,51107502,51125319,51487510,51520513,51854353,52164217,52209205,52507935,52645990,53574352,53607846,53611124,53636782,53834862,54223033,54426793,54502250,54505412,54763220,54794822,54831685,54938268,54960790,55651752,56008464,56467050,56591713,56848671,56961793,57073285,57534937,57707960,57751093,58943675,59042982,59254329,59366758,59454740,59498439,59596273,59730214,60206804,60231520,60271146,60393972,60581617,60610705,60623022,60751462,60863475,60868489,60945913,61166577,61785012,61798340,61937528,62033737,62300149,62384353,62536033,62608221,62651046,62866454,62987089,63009522,63175188,63207985,63330337,63393205,63465908,63895753,63899329,64446008,64452255,64506766,64652169,64921040,64921455,65374753,65402700,65406757,65579960,65715864,65798022,65952948,66120278,66443206,66913249,67089205,67683337,67742518,67760460,67979170,68487942,68661428,68749072,68854292,69249552,69679719,69762880,70050577,70085204,70456393,70643444,70732410,70831475,70997473,71345688,71427109,71855769,71947333,72277824,72476769,72501759,72603205,72732846,72950228,73036170,73068782,73335685,73406649,73652533,73701685,73709089,73716177,73777455,73930347,74158008,74389513,74431669,74520310,74705846,74790913,74829766,75363502,75447904,75565364,75647977,75652489,75849582,76071846,76587320,76660724,76728875,76914673,76916017,77170705,77267606,77342706,77623717,77905248,77905746,78192613,78237812,78382693,78483240,78577688,78596353,78695952,78808885,79856689,79861377,80263899,80507046,81116233,81137108,81312552,81373990,81575004,81667814,81894385,82134164,82353157,82594513,83213713,83427759,83447288,83703985,83715456,83908055,83944238,84111609,84205250,84411663,84715329,84878892,84882884,84997770,85837846,86009720,86160735,86419513,87065590,87123846,87247544,87259918,87402073,87643404,87730438,87850885,88002822,88025893,88293645,88346167,88399899,88442022,88481953,88532946,88618449,88917177,89337190,89424372,89492953,89516533,89809220,90022004,90108313,90395438,90471910,90625897,90664288,90705009,90813457,91476621,91589617,91621268,91802648,91863649,91904784,92005718,92074650,92075077,92239928,92416489,92604846,92691985,93362713,93511153,93667449,93755713,93878199,93915073,94179888,94457540,94570662,94846377,95067374,95223254,95353177,95565193,95752393,96235993,96608289,96760935,97113100,97418233,97486329,97648788,97681585,98053892,98153487,98212960,98273262,98569285,98666689,98945409,99966049,...,2871639815518826211101405177660213363197969978914183543555602406947528479804300623224879924814252678550004890851739063813003772098333503905247878330843110676086705330570897596440804249081118447402380253700736074212236172057476314031022781132265694721103471617660816459498125708555855079724818913633015285904112346327110897527130135988246301767902835779417920044139275641762459983836580977168065921340697956652881466724783513712747082222394256874811086083651344490025130077513069366284074505148568672227841473007468491163609956336601499592487287680070742633642960379400297151569507182520731474753906922002848665341834448297751432780529294333256518713068923691245761734663368773901451414154911818327247490414452719775429233850936688011376746596288684970023200206709968676561183257050154616463030283340603981345220064348347707259516547537349680696188438959637705095537472109596806127309237812660588701723887991645610846482765009284427685678404292123678917426945435407049655530064361685711421657603644477086741344481552213736278302726096981128080019551473267899665643313387126979060786139298318132207595968699863292303518627153251724865678637004384011202971453356757933511152174655529133883160623094053739646089188962598285819141804788430128477382300923733345993672419188117457062614630921145306896570864621804841842792759020852870737706980958615184045679496276300519998359725425900147056894777718372732560896057740377939016490919884274649779628400647950748121282051482689490735357827131871734223690672922589486728669159656221353956878671563714906164723937104918245538365063048868533751785998154531289040188938388467185427685887723413457665939814477135818730151957600402785183991264679145906534414259228511487140613041399122756224073393908839516547796913231964122426403034788969722729752382093291151291104738197885027012905688990590962555720177573968146595605987747352193922663774929537086559443902420088672185297142721442634507458097845294906313702663696164242081216345639698776737003476680976755762953306239724006821287785813581878743140266596349663586862979826866072646409435187350795426452583331276531290219005892686234830638778545001311445749574003733872409012647067816449021969136526405164354440722272812424448850628240305433242995319731464123850964472834855062819247028983558107729249274601178689861781264034023611190088471472876217510279978586665598007702739017580502736150380033976915807845315859313030834678201844023395734556645879303810506188238813353448931373411502213611590870432821433497876985284872286588911925915471057390046882399781216389994813711638216502027028871390222901973162278490828839521447332467326118497626906083850048256966496953874021673232862956906955968183021325317006433975308162765834629422552039996785134147233525721730147161751568029827026500705711159121009760684008389994413290971137106787101178644375474977217602592161633411423392764034104187758244263433410400826876146702512979433856023134724181521234408572789412570989584291356358548896022178017211932139581731525789990672556642792564614444573867092479496179040035533070118204407534071784194749869429223497297325658149761146000633750793738058248527649804441603566104625814}
19848 165075374910456245876319901002018327439146199492710551844762933945615680: {99215,119058,138887,198410,238092,574751,930647,1404167,1758551,1915847,2098058,2151551,2456812,2582927,2739551,2935151,2974247,3280658,3286727,3405772,3646696,4102533,4224146,4596616,4686551,4918847,5171193,5300236,5305367,5400266,5421167,5869706,5999087,6191327,6494728,6766847,6996551,7306569,7378751,7798247,7907781,8140751,8178767,8368727,8861687,8937407,9050927,9414025,10016236,10048233,10300658,10532426,10557647,11296830,11458058,11530151,11792305,11865527,12049952,12311687,12363436,12490216,12832012,13119976,13237487,13556196,13569551,13900967,13954065,14051493,14064136,14150766,14170585,14525207,14671751,14681433,14759973,14884336,14908658,15137546,15183647,15385377,15439007,15822153,15948551,15949465,16264936,16279826,16744878,16786693,16846150,17004702,17191058,17575751,17719607,18099986,18298053,18315925,18897292,19008551,19139358,19755647,19933007,20215380,20463887,20704585,20922527,21133751,21487946,21563072,21893365,21979110,22150607,22610066,22784950,22917527,23444384,23939409,23980990,24233087,24258456,24452812,24577367,24845502,25249406,25263527,25334337,25935217,25980551,26176658,26272038,26295436,26367585,26374932,26626247,26694047,26779929,27201527,27290763,27341940,28125424,28469128,28512551,28592236,28777188,28846751,29050732,29146847,29164736,29486858,29512751,29788465,29811407,29904585,30142487,30159925,30307727,30801866,30835151,30881836,31165849,31196567,31641102,31818551,31898224,32027769,32275007,32307551,32502647,32708332,32780181,32810328,33437265,33473807,33570527,33633266,33634967,33731567,33760705,33924551,35147786,35439436,35648447,35666416,35746158,35794706,35870207,35885502,35893612,36070580,36191910,36551176,36870026,36891806,36911619,37050310,37067207,37255151,37324885,37442807,37480936,37910687,38500751,38604704,38728185,39024025,39149567,39426551,39436106,39605793,39610847,39764137,39856127,39886751,40124718,40314647,40497551,40512846,40839505,40953551,41120073,41135306,41135447,41226287,41310064,41347058,41437967,41528567,41588927,41860151,42130727,42166053,42429928,42554950,42580247,42729764,42759551,43265185,43284696,43430292,43681367,43829327,44019532,44095151,44213087,44215633,44281576,44460372,44468236,44712887,44789862,44976551,45093527,45676487,45705551,45760586,46140551,46304709,46458407,46473822,46707436,46746527,46802066,46828830,46877558,46890287,47005151,47154412,47602165,47733669,47748647,48004751,48260207,48460946,48493612,48593128,48599807,48695283,49007406,49387727,49527767,49816773,49950752,50113751,50494465,50719852,50806751,51055007,51065940,51385007,51529400,51768551,51918222,52177751,52702580,52742206,52771658,52789785,53098607,53152487,53501927,53662751,54097989,54195337,54470336,54621647,54667269,54802058,54859751,54991751,55036936,55412807,55543967,55955176,56194596,56253873,56309104,56390257,56792927,56805910,57018866,57122598,57205151,57382465,57501381,57589751,57795436,57819647,57970575,58095496,58252127,58290385,58342150,58707527,58819658,58883927,59011816,59235551,59859551,60155438,60503207,60593358,60724751,60858993,61042520,61279128,61555847,61597706,61835280,61916553,61919567,62064551,62329607,62366728,62427477,62545751,62761247,62949573,62999927,63165190,63243096,63261551,63347742,63584776,63993647,64064087,64542866,64555151,64694807,64888257,65105896,65125489,65357433,65409928,65457767,65733047,65938751,65957632,66016916,66052751,66189287,66388293,66732551,66822647,66967940,67013905,67271207,67841546,67938047,68052657,68070551,68131765,68143336,68167092,68202767,68419346,68454025,68488247,68597687,68672835,68755477,68858958,68939019,69250127,69271751,69564690,69595151,69656037,69724007,69948462,70010580,70162569,70352953,70363967,70660151,71148483,71477128,71532873,71779816,72097007,72134950,72404327,72547127,72616946,73016377,73244133,73251024,73335551,73372658,73435751,73586169,73755047,73814687,73933751,74202336,74318425,74392357,74446367,74501906,74677952,74739647,74992367,75031127,75224447,75258505,75282287,75289400,75459621,75492465,75798228,75970751,76254551,76341601,76423967,76661253,77076647,77231265,77247925,77421910,77901407,78010151,78172727,78352607,78388487,78723976,78727751,78782666,78922847,78968985,78975887,79005772,79099367,79152167,79331252,79332385,79703186,79886858,80141687,80227247,80327317,80361528,80411769,80416686,80455173,80525296,80550551,80557510,80709937,80752293,80830696,80988287,81151300,81404087,81555436,81753375,81758118,81798551,81880151,81896447,81974950,82139927,82144830,82192233,82380016,82407402,82441185,82443146,82509767,83142887,83477628,83534728,83609327,83778551,83793887,84012696,84233584,84250247,84610151,84700575,84773567,84832751,85038887,85141367,85432007,85509266,85790807,85826785,85918751,85936340,86046047,86067865,86202892,86256767,86410151,86424047,86561940,86631527,86905367,87108647,87203600,87310127,87430151,87483287,87562751,87606505,87621152,87730696,87742369,87838607,87937264,88020551,88098047,88304305,88564473,88980887,89050137,89152751,89182110,89383487,89595321,89635151,89694551,90046751,90093167,90162551,90266087,90310206,90347280,90406719,90561551,90590958,90662567,90796247,90840551,90934533,90939767,91103687,91125407,91127193,91187785,91222751,91265807,91317256,91319447,91342346,91516658,91637087,91647551,91710167,91762127,91865447,91957751,92170607,92212466,92332736,92399687,92677518,92697510,92835647,92892551,92906292,93117287,93181967,93424586,93481607,93499487,93535151,93720287,93976569,94114058,94146887,94254527,94295567,94299681,94303751,94309880,94417487,94456705,94514283,94593047,94762782,94818551,94849127,95007551,95044751,95127584,95198862,95220527,95328047,95398727,95412767,95482487,95619527,95734150,95746751,95807692,95825905,95838647,95941751,95998226,96092567,96370432,96534167,96562007,96635692,96669012,96724847,96756551,96760149,96930767,96960551,96977128,96985151,97005493,97062527,97133207,97174751,97269167,97355807,97381560,97633847,97652207,97720151,97737551,97751327,97797265,97821551,97866407,97875532,97897487,97903607,97933727,97974551,97991567,98019287,98072327,98104050,98119751,98155151,98179967,98201687,98222110,98230751,98232767,98287751,98288236,98298287,98315207,98343647,98369940,98371058,98381447,98425751,98430551,98434247,98455151,98461751,98465327,98467007,98473007,98478551,98485487,98539466,98573796,98697033,98877344,98929422,99180417,99664809,99881546,...,4307459723278239316652107766490320044796954968371275315333403610421292719706450934837319887221379017825007336277608595719505658147500255857871817496264666014130057995856346394661206373621677671103570380551104111318354258086214471046534171698398542081655207426491224689247188562833782619587228370449522928856168519490666346290695203982369452651854253669126880066208913462643689975754871465752098882011046934979322200087175270569120623333591385312216629125477016735037695116269604049426111757722853008341762209511202736745414934504902249388730931520106113950464440569100445727354260773781097212130860383004272998012751672446627149170793941499884778069603385536868642601995053160852177121232367727490871235621679079663143850776405032017065119894433027455034800310064953014841774885575231924694545425010905972017830096522521560889274821306024521044282658439456557643306208164395209190963856718990883052585831987468416269724147513926641528517606438185518376140418153110574483295096542528567132486405466715630112016722328320604417454089145471692120029327209901849498464970080690468591179208947477198311393953049794938455277940729877587298517955506576016804457180035136900266728261983293700824740934641080609469133783443897428728712707182645192716073451385600018990508628782176185593921946381717960344856296932707262764189138531279306106560471437922776068519244414450779997539588138850220585342166577559098841344086610566908524736379826411974669442600971926122181923077224034236103036740697807601335536009383884230093003739484332030935318007345572359247085905657377368307547594573302800627678997231796933560283407582700778141528831585120186498909721715703728095227936400604177775986897018718859801621388842767230710919562098684134336110090863259274821695369847946183639604552183454584094628573139936726936657107296827540519358533485886443833580266360952219893408981621028290883995662394305629839165853630133008277945714082163951761187146767942359470553995544246363121824518459548165105505215021465133644429959359586010231931678720372818114710399894524495380294469740299108969614152781026193139678874996914796935328508839029352245958167817501967168624361005600808613518970601724673532953704789607746531661083409218636673275942360458149864492979597196185776446709252282594228870543475337161593873911901768034792671896051035416785132707209314326265419967879998397011554108526370754104225570050965373711767973788969546252017302766035093601834968818955715759282358220030173397060117253320417386305649232150246815477927308429883367888873206586085070323599671824584992220567457324753040543307085334352959743417736243259282170998700989177746440359125775072385449745430811032509849294435360433952274531987975509650962962244148751944133828059995177701220850288582595220742627352044740539751058566738681514641026012584991619936456705660180651767966563212465826403888242450117135089146051156281637366395150115601240314220053769469150784034702086272281851612859184118856484376437034537823344033267025817898209372597288684986008834964188846921666860800638719244268560053299605177306611301107676292124804143835245945988487224641719000950626190607087372791474706662405349156938721}
19849 165717647574742113870523056026131733371637567336696287423464583253354483: {158744,178587,297615,317456,357138,3071015,3147087,3190859,3685218,4022039,4142171,4257215,4379999,4558370,4920987,5108658,5470044,5682887,5745770,5924087,6336219,6399599,6625295,6894924,7412306,7950354,8059007,8100399,8118410,8804559,9742092,10025378,10435127,10543708,10910351,10928939,11064287,11451914,11479979,12306119,12520295,13023794,13270367,13397644,13914479,14231819,15024354,15062440,15168959,15450987,15454295,15612770,15798639,16040015,16399970,16945245,17170571,17187087,17580170,18074928,18545154,18605420,18724178,18735324,18755087,18867688,19248018,19523786,19575244,19679964,19915439,20331170,20334294,20513836,20949458,21096204,21099338,21226149,21313487,22326504,22362987,22672936,22706319,23621615,24397404,24419739,24520919,24609746,24661919,24890879,24899594,24910487,25117317,25136567,25158299,25269225,25507053,25519144,25670546,25786587,26528279,26654891,26953840,27149979,27910946,27953159,28224818,28345938,28709037,29305480,29646251,30119771,30323070,30448619,30566015,31208114,31739378,31919212,31982279,32231919,32344608,32539559,32700107,32795819,32869295,32968665,33127336,33165287,33779116,33915099,33989087,34177425,34953671,35029384,35083919,35156780,35166576,35586410,35592479,35638154,35706572,35740295,35971485,36068978,36139211,36146306,36313415,36387684,36455920,36482498,36541787,36679218,37126187,37268253,37874109,38133719,38369584,38380079,38602295,38605739,38746379,38747399,39264987,39408057,39443154,39562398,39872780,39932939,40885415,41012910,41022827,42123026,42188136,42332399,42518987,42622658,42703692,42757874,42888354,43120799,43165782,43576098,43706908,43747104,44230287,44299295,44578007,44583020,44867015,45017087,45020114,45088225,45688970,46202799,46322754,46851170,47029706,47305346,47461653,47661544,47698226,47847336,48157319,48255880,48340811,48960779,49030811,49062498,49215492,49270466,49395071,49430519,50449899,50521127,50833559,51635339,51637580,51951647,52721679,52807724,53037410,53051186,53159154,53315039,53412205,53499624,53619237,53692059,53828253,53840418,54017128,54105870,54287865,54570887,54826764,54880514,55024415,55066946,55305039,55337709,55351970,55454978,55575465,55585295,55636679,55716911,56221404,56868059,56967659,57233687,57540779,57712928,57866159,57907056,58384295,58894679,58943015,59154159,59280496,59372786,59377487,59625419,59719816,60187077,60233426,60617015,60741410,60769269,60887879,61702959,61733927,61739612,61965096,62020587,62438440,62542487,62807339,62939339,63399815,63644892,63832425,64094646,64411750,64513298,64533986,64927044,64941218,65145438,65343208,65878225,65956187,66029298,66323858,66422364,66596711,66690558,66702354,66757298,67012619,67184793,67615298,68087920,68640879,68735714,68796170,68883479,69083954,69224296,69684338,69710733,69943970,70061154,70160714,70203099,70243245,70316337,70386380,70431959,70459634,70726859,70731618,71024987,71935487,72082514,72130652,72244295,72290207,72619370,72691419,72740418,72889692,73092887,73404167,73511109,73704386,73764770,74337719,74439287,74818271,74926128,75005164,75110999,75456959,75712226,75752714,76079778,76151186,76163464,76303150,76314479,76598910,76668508,76752386,76764359,76945106,77294100,77877333,77958410,78604427,79053870,79113309,79157487,79334111,79480970,79902599,79948907,80791144,81145324,81382370,81705504,81762410,82203087,82206239,82361519,82447040,82521145,82555079,82555404,83236636,83585207,83709925,83932764,84291894,84324128,84463656,84547739,84854987,84898847,84921119,85179170,85208865,85394327,85528299,85683897,85846538,86232866,86517676,86693154,86755919,87143244,87268754,87411071,87513225,87739346,87914879,88021874,88034831,88229487,88435178,88491179,88517724,88750487,89346410,89407487,89724770,89920127,90025058,90233157,90444098,90635099,90736876,90889456,90890037,90899159,91563780,91811944,91918692,92319839,92396559,92752920,92874716,92886599,93264616,93347440,93550092,93924887,94111750,94376087,94747785,94864644,94977671,95021613,95170838,95362859,95377164,95393807,95690087,95864639,96396719,96814299,97047074,97428287,97658844,97668032,97927346,98051666,98114892,98343479,98404970,98757215,98936448,99025374,99164065,99703946,...,5743279631037652422202810355320426726395939957828367087111204813895056959608601246449759849628505357100009781703478127626007544196667007810495756661686221352173410661141795192881608498162236894804760507401472148424472344114952628062045562264531389442206943235321632918996251417111710159449637827266030571808224692654221795054260271976492603535805671558835840088278551283524919967673161954336131842681395913305762933449567027425494164444788513749622172167302688980050260155026138732568149010297137344455682946014936982327219912673202999184974575360141485267285920758800594303139014365041462949507813844005697330683668896595502865561058588666513037426137847382491523469326737547802902828309823636654494980828905439550858467701873376022753493192577369940046400413419937353122366514100309232926060566681207962690440128696695414519033095074699361392376877919275410191074944219193612254618475625321177403447775983291221692965530018568855371356808584247357834853890870814099311060128723371422843315207288954173482688963104427472556605452193962256160039102946535799331286626774253958121572278596636264415191937399726584607037254306503449731357274008768022405942906713515867022304349311058267766321246188107479292178377925196571638283609576860256954764601847466691987344838376234914125229261842290613793141729243609683685585518041705741475413961917230368091358992552601039996719450851800294113789555436745465121792115480755878032981839768549299559256801295901496242564102965378981470715654263743468447381345845178973457338319312442707913757343127429812329447874209836491076730126097737067503571996309062578080377876776934370855371775446826915331879628954271637460303915200805570367982529358291813068828518457022974281226082798245512448146787817679033095593826463928244852806069577939445459504764186582302582209476395770054025811377981181925111440355147936293191211975494704387845327549859074173118887804840177344370594285442885269014916195690589812627405327392328484162432691279397553474006953361953511525906612479448013642575571627163757486280533192699327173725959653732145292818870374701590852905166662553062580438011785372469661277557090002622891499148007467744818025294135632898043938273052810328708881444545624848897701256480610866485990639462928247701928945669710125638494057967116215458498549202357379723562528068047222380176942945752435020559957173331196015405478035161005472300760067953831615690631718626061669356403688046791469113291758607621012376477626706897862746823004427223181740865642866995753970569744573177823851830942114780093764799562432779989627423276433004054057742780445803946324556981657679042894664934652236995253812167700096513932993907748043346465725913813911936366042650634012867950616325531669258845104079993570268294467051443460294323503136059654053001411422318242019521368016779988826581942274213574202357288750949954435205184323266822846785528068208375516488526866820801653752293405025958867712046269448363042468817145578825141979168582712717097792044356034423864279163463051579981345113285585129228889147734184958992358080071066140236408815068143568389499738858446994594651316299522292001267501587476116497055299608883207132209251628}
19850 166362401549477941557412573616777261757036473118105520566430527417263259: {138901,198430,238116,277774,396820,476184,535707,614389,733081,1149502,1443721,1861294,1916041,2808334,2974549,3208981,3517102,3831694,4196116,4303102,4725769,4913624,5165854,5479102,5527827,5870302,5948494,5999701,6561316,6573454,6805849,6811544,6837555,7150261,7264921,7293392,7379509,7662987,7951369,8179609,8205066,8407561,8448292,8618655,8976181,9193232,9373102,9837694,10342386,10446169,10600472,10610734,10800532,10842334,11118459,11120521,11568649,11739412,11792281,11903989,11925531,11998174,12127189,12177615,12350101,12382654,12989456,13179635,13533694,13570969,13993102,14613138,14673289,14757502,15038067,15596494,15815562,16281502,16357534,16509227,16639321,16737454,16747055,17177871,17721481,17723374,17874814,18101854,18689269,18828050,19535691,19838819,19970581,20032472,20096466,20501401,20601316,21064852,21115294,21873109,22329251,22536531,22593660,22606681,22916116,23060302,23256775,23419155,23584610,23731054,24063241,24099904,24469055,24580021,24599955,24623374,24726872,24980432,25642295,25664024,25812949,26221621,26239952,26370255,26474974,26730841,27035509,27112392,27139102,27238261,27801934,27817731,27908130,28086267,28102986,28128272,28247701,28301532,28341170,28348249,28872027,28986419,29050414,29150041,29285679,29343502,29362866,29519946,29549209,29648821,29768672,29817316,30275092,30344089,30367294,30496755,30501441,30650711,30770754,30878014,31232821,31424187,31644306,31649007,31724041,31897102,31898930,32311129,32506249,32529872,32559652,33477529,33489756,33573386,33670921,33692300,33767509,34009404,34382116,35151502,35439214,35493781,35684149,35874229,36199972,36596106,36631850,36832367,36914619,37102729,37349391,37478281,37794584,37852681,37946101,38017102,38278716,38505819,39511294,39615349,39866014,39891289,39899015,40074889,40430760,40532629,40927774,40988569,41409170,41623861,41703851,41845054,41866419,42223895,42267502,42337227,42518907,42883861,42973321,42975892,43126144,43786730,43945975,43958220,44129749,44218201,44301214,44633215,44747401,45220132,45484605,45536341,45569900,45710869,45835054,46059061,46492681,46812171,46888768,47264987,47609067,47697241,47782741,47878818,47961980,48466174,48516912,48549001,48905624,48972181,49154734,49691004,49840975,50147509,50498812,50527054,50668674,50812789,51870434,51961102,52047769,52211209,52254839,52353316,52544076,52590872,52735170,52749864,53252494,53379615,53388094,53457231,53508361,53559858,54103467,54219459,54403054,54581526,54633635,54683880,54723747,55018827,55024789,55576921,55728775,56250848,56359561,56825689,56938256,57025102,57175307,57184472,57366229,57443161,57554376,57693502,58101464,58284661,58293694,58329472,58973716,59025502,59164731,59343597,59576930,59622814,59809170,59866969,60239029,60284974,60319850,60571259,60615454,60904201,61519365,61603732,61670302,61763672,61927321,62331698,62393134,62577589,62721301,63184539,63282204,63637102,63719221,63796448,63933987,64055538,64136811,64332531,64546975,64550014,64615102,64703029,64748673,65005294,65364147,65416664,65560362,65620656,65741449,66009655,66083989,66220501,66643031,66874530,66947614,67141054,67266532,67269934,67302229,67463134,67503001,67521410,67530171,67849102,68233621,68533455,69280789,69484131,69733129,70054069,70276755,70295572,70544559,70690549,70692251,70753801,70816981,70878872,70958019,71296894,71332832,71492316,71507209,71547339,71589412,71740414,71771004,71787224,71818069,72127129,72141160,72383820,73102352,73285141,73593747,73740052,73783612,73823238,73905699,74100620,74134414,74240149,74476021,74510302,74649770,74885614,74961872,75350281,75407989,75821374,75867061,76151641,76966487,77001502,77174515,77209408,77456370,77547541,78048050,78147481,78201589,78299134,78309589,78417301,78471049,78629771,78853102,78872212,78951541,79163221,79211586,79221694,79426201,79528274,79530889,79556115,79576779,79712254,79738731,79773502,80249436,80255641,80335451,80629294,80663449,80760627,80995102,81016501,81025692,81158805,81316309,81606539,81662809,81679010,81810229,81907102,81908149,82240146,82270612,82270894,82320771,82452574,82600419,82620128,82694116,82875934,83027955,83057134,83144399,83177854,83182467,83435701,83720302,83806069,84035209,84261454,84332106,84352981,84756361,84859856,85109900,85160494,85459528,85519102,85631881,85888921,86436949,86530370,86561689,86569392,86860584,87135241,87362734,87658654,87930121,87969109,87982975,88039064,88046869,88124341,88190302,88426174,88431266,88563152,88920744,88936472,88994569,89059179,89178709,89251861,89425774,89579724,89720329,89932441,89953102,90107221,90163315,90187054,90348889,90350139,90688009,91112115,91150681,91280281,91352974,91411102,91521172,91599241,91662169,91787161,92094601,92215561,92281102,92424469,92512921,92609418,92658901,92860249,92916814,92917129,92947644,92973721,93279829,93414872,93493054,93496981,93604132,93657660,93735769,93755116,93756455,93780574,93788041,93819467,94010302,94308824,94319509,94513621,94656181,94842229,94865161,95204330,95384471,95393929,95467338,95497294,95642761,95743381,95835635,96009502,96034441,96141969,96379861,96520414,96534409,96584629,96617625,96650581,96747349,96769947,96800979,96921892,96948121,96977929,96987224,97051189,97079989,97094281,97186256,97192309,97199614,97246741,97377781,97390566,97411827,97440601,97537369,97673881,97718157,97868821,97960981,97978549,98014812,98093461,98138389,98159881,98173849,98220469,98226841,98251609,98362741,98471029,98484889,98492629,98503861,98505049,98775454,99043947,99055534,99485787,99633546,99901504,...,8614919446556478633304215532980640089593909936742550630666807220842585439412901869674639774442758035650014672555217191439011316295000511715743634992529332028260115991712692789322412747243355342207140761102208222636708516172428942093068343396797084163310414852982449378494377125667565239174456740899045857712337038981332692581390407964738905303708507338253760132417826925287379951509742931504197764022093869958644400174350541138241246667182770624433258250954033470075390232539208098852223515445706016683524419022405473490829869009804498777461863040212227900928881138200891454708521547562194424261720766008545996025503344893254298341587882999769556139206771073737285203990106321704354242464735454981742471243358159326287701552810064034130239788866054910069600620129906029683549771150463849389090850021811944035660193045043121778549642612049042088565316878913115286612416328790418381927713437981766105171663974936832539448295027853283057035212876371036752280836306221148966590193085057134264972810933431260224033444656641208834908178290943384240058654419803698996929940161380937182358417894954396622787906099589876910555881459755174597035911013152033608914360070273800533456523966587401649481869282161218938267566887794857457425414365290385432146902771200037981017257564352371187843892763435920689712593865414525528378277062558612213120942875845552137038488828901559995079176277700441170684333155118197682688173221133817049472759652823949338885201943852244363846154448068472206073481395615202671072018767768460186007478968664061870636014691144718494171811314754736615095189146605601255357994463593867120566815165401556283057663170240372997819443431407456190455872801208355551973794037437719603242777685534461421839124197368268672220181726518549643390739695892367279209104366909168189257146279873453873314214593655081038717066971772887667160532721904439786817963242056581767991324788611259678331707260266016555891428164327903522374293535884718941107991088492726243649036919096330211010430042930267288859918719172020463863357440745636229420799789048990760588939480598217939228305562052386279357749993829593870657017678058704491916335635003934337248722011201617227037941203449347065907409579215493063322166818437273346551884720916299728985959194392371552893418504565188457741086950674323187747823803536069585343792102070833570265414418628652530839935759996794023108217052741508208451140101930747423535947577939092504034605532070187203669937637911431518564716440060346794120234506640834772611298464300493630955854616859766735777746413172170140647199343649169984441134914649506081086614170668705919486835472486518564341997401978355492880718251550144770899490861622065019698588870720867904549063975951019301925924488297503888267656119990355402441700577165190441485254704089481079502117133477363029282052025169983239872913411320361303535933126424931652807776484900234270178292102312563274732790300231202480628440107538938301568069404172544563703225718368237712968752874069075646688066534051635796418745194577369972017669928377693843333721601277438488537120106599210354613222602215352584249608287670491891976974449283438001901252381214174745582949413324810698313877442}
19851 167009646353070891278134568887752555370442800671868350596363214433139521: {297645,317488,357174,416661,496025,595230,634912,714276,1724253,2791941,4212501,4299421,4895293,5245145,5275653,5747541,5960101,6142030,6294174,6381718,6454653,7152493,7370436,7748781,8044078,8201645,8218653,8284342,8514430,8759998,8805453,8922741,9116740,9275413,9524281,9841974,9860181,10217316,10232981,10560365,10940088,11365774,11491540,11662789,11848174,12307599,12672438,12799198,13250590,13500665,13789848,13795721,14059653,14674265,14756541,14824612,15513579,15683161,15900708,15916101,16118014,16200798,16236820,16263501,16645913,17528413,17609118,17997261,18573981,19336229,19484184,20050756,20292493,20300541,20870254,20989653,21087416,21636013,21820702,21857878,21919707,21930029,22128574,22136253,22456021,22903828,22959958,23394741,23723343,23853941,24422253,24520661,24536301,24612238,25040590,25106181,25751645,26047588,26331065,26362741,26540734,26585061,26795288,26812221,27074713,27152781,27405733,27828958,27868661,28242075,28400669,28463638,28645145,29649253,30048708,30124880,30144699,30337918,30901974,30908590,31225540,31597278,31672941,32080030,32799940,33070261,33814493,33890490,34341142,34374174,34590453,35160340,35376915,35596093,35596581,35883413,36149856,36935061,37090308,37210840,37271645,37364269,37448356,37470648,37510174,37735376,37843865,38083301,38496036,38645581,38712509,39047572,39150488,39359928,39712461,39830878,40168921,40405733,40662340,40667309,40668588,40699565,40708653,41026981,41027672,41702901,41862195,41898916,42115375,42154479,42192408,42198676,42452298,42511755,42626974,42792421,42977645,43575621,44015253,44044299,44279919,44582521,44653008,44725974,45249965,45345872,45412638,45550941,45825821,45874313,46017013,46156131,46317021,47243230,47466459,47511773,47777669,47845653,47848395,48794808,48839478,49041838,49199741,49219492,49323838,49781758,49799188,49820974,50036413,50234634,50273134,50316598,50360079,50538450,50838781,51014106,51038288,51341092,51573174,52727253,53056558,53158821,53309782,53719865,53907680,54043213,54299958,54894159,54947775,55361141,55821892,55906318,56449636,56464789,56525165,56636261,56691876,56962375,57025653,57239581,57418074,57460229,57823001,57910589,58375993,58610960,59266941,59292502,59347061,59799021,59952475,60239542,60456869,60646140,60897238,61132030,61391661,61397401,61723853,62019013,62113755,62416228,62767581,62813821,62956381,63123515,63401253,63478756,63838424,63964558,64463838,64586393,64689216,65079118,65400214,65441645,65591638,65680095,65738590,65937330,66254672,66330574,66451821,67130981,67558232,67830198,67978174,68354850,68752581,69907342,70058768,70167838,70313560,70333152,70764313,71172820,71184958,71276308,71413144,71480590,71818227,71942970,72137956,72278422,72292612,72626830,72699261,72775368,72911840,72964996,73083574,73358436,73717145,73732101,74232701,74252374,74536506,74777087,75517901,75748218,75790581,76003011,76267438,76739168,76760158,77004665,77034181,77204590,77211478,77492758,77494798,77805651,77819413,77941653,77948221,78529974,78816114,78886308,79102755,79124796,79745560,79865878,79878741,80082141,80339787,81604581,81614969,81738013,81770830,81872289,81972341,82025820,82045654,82520221,83083333,83560661,83938621,84083165,84246052,84376272,84664798,84805429,84863821,85037974,85245316,85292653,85407384,85433881,85515748,85531913,85537653,85776708,86241598,86331564,86540253,87152196,87413816,87440541,87494208,87501941,87799801,87869465,88421593,88460574,88509613,88538253,88598590,88759741,89156014,89166040,89365395,89434221,89486765,89511389,89713755,89734030,90034174,90040228,90176450,90427461,90479775,90923181,91256201,91377940,92175065,92229515,92329213,92405598,92505453,92509213,92625775,92645508,92896141,92967353,93404681,93497547,93589701,93702340,94059412,94610692,94923306,95323088,95396452,95455653,95694672,95772149,96083307,96314638,96511760,96514973,96681622,96825021,96922653,97333721,97507941,97921558,98061622,98124996,98270909,98340543,98430984,98540932,98590265,98790142,98861038,99056213,99353069,99519101,...,12922379169834717949956323299470960134390864905113825946000210831263878159119352804511959661664137053475022008832825787158516974442500767573615452488793998042390173987569039183983619120865033013310711141653312333955062774258643413139602515095195626244965622279473674067741565688501347858761685111348568786568505558471999038872085611947108357955562761007380640198626740387931069927264614397256296646033140804937966600261525811707361870000774155936649887376431050205113085348808812148278335273168559025025286628533608210236244803514706748166192794560318341851393321707301337182062782321343291636392581149012818994038255017339881447512381824499654334208810156610605927805985159482556531363697103182472613706865037238989431552329215096051195359683299082365104400930194859044525324656725695774083636275032717916053490289567564682667824463918073563132847975318369672929918624493185627572891570156972649157757495962405248809172442541779924585552819314556555128421254459331723449885289627585701397459216400146890336050166984961813252362267436415076360087981629705548495394910242071405773537626842431594934181859149384815365833822189632761895553866519728050413371540105410700800184785949881102474222803923241828407401350331692286186138121547935578148220354156800056971525886346528556781765839145153881034568890798121788292567415593837918319681414313768328205557733243352339992618764416550661756026499732677296524032259831700725574209139479235924008327802915778366545769231672102708309110222093422804006608028151652690279011218452996092805954022036717077741257716972132104922642783719908401883036991695390800680850222748102334424586494755360559496729165147111184285683809201812533327960691056156579404864166528301692132758686296052403008330272589777824465086109543838550918813656550363752283885719419810180809971321890482621558075600457659331500740799082856659680226944863084872651986987182916889517497560890399024833837142246491855283561440303827078411661986632739089365473555378644495316515645064395400933289878078758030695795036161118454344131199683573486140883409220897326908842458343078579419036624990744390805985526517088056737874503452505901505873083016802425840556911805174020598861114368823239594983250227655910019827827081374449593478938791588557329340127756847782686611630426011484781621735705304104378015688153106250355398121627942978796259903639995191034662325579112262312676710152896121135303921366908638756051908298105280805504906456867147277847074660090520191180351759961252158916947696450740446433781925289650103666619619758255210970799015473754976661702371974259121629921256003058879230253208729777846512996102967533239321077377325217156349236292433097529547883306081301856823595963926528952888886732446255832401484179985533103662550865747785662227882056134221619253175700216044543923078037754974859809370116980541955303899689637397479211664727350351405267438153468844912099185450346803720942660161308407452352104106258816845554838577552356569453129311103613470032099801077453694628117791866054958026504892566540765000582401916157732805680159898815531919833903323028876374412431505737837965461673925157002851878571821262118374424119987216047470816163}
19852 167659391540182972207815784627124362496380393785223752365516582298015422: {218251,277802,396860,476232,535761,555548,793640,892845,952368,1071414,1167787,1228778,1466162,1758907,1994851,2230507,2299004,2887442,3722588,3755251,3832082,5267827,5499451,5616668,5730787,5949098,6077251,6417962,7034204,7456627,7571107,7663388,8142427,8370451,8392232,8606204,8711947,8939251,9213045,9279667,9441261,9451538,9572577,9827248,10331708,10859707,10958204,11055654,11395925,11420587,11740604,11896988,11999402,12066117,12314251,12426513,12771645,13122632,13139997,13146908,13611698,13623088,13675110,14300522,14364425,14529842,14586784,14748067,14759018,14762961,15325974,15624451,15902738,15951907,16359218,16410132,16815122,16896584,17048661,17237310,17772261,17795251,17952362,18010747,18386464,18451489,18530765,18548227,18746204,19008657,19083907,19198797,19675388,19724347,19875885,20296025,20680147,20684772,20785987,20892338,21200944,21221468,21524851,21601064,21684668,22050451,22236918,22241042,23137298,23408587,23445877,23478824,23584562,23807978,23851062,23996348,24177021,24254378,24301197,24355230,24700202,24765308,25063445,25978912,25986187,26359270,26379089,26413677,26496307,26699851,27067388,27141938,27207451,27511147,27713251,27915067,27986204,28629785,28919827,29219851,29226276,29346578,29515004,29519227,30076134,31006387,31192988,31203451,31305381,31400227,31631124,32559485,32563004,32672251,32715068,32731053,32786817,33018454,33192861,33278642,33474908,33494110,33642451,34256677,34317307,34355742,34439937,34605451,34892947,35442962,35446748,35749628,35899213,36203708,36698707,36793027,36918357,37378538,37560885,37656100,39031925,39071382,39496987,39677638,39811101,39941162,39957067,40064944,40192932,40755341,40871827,40999925,41002802,41202632,41598451,41743437,42129704,42230588,42695457,42769387,43529161,43746218,43839451,43950425,44658502,45073062,45162451,45187320,45213362,45506877,45774307,45832232,46120604,46209187,46352961,46362885,46513550,46728667,46810445,46838310,47073547,47169220,47395917,47462108,48016027,48120045,48126482,48199808,48809465,48938110,49160042,49199910,49246748,49287187,49453744,49960864,50042107,50125627,50827925,50835735,50874067,51122251,51284590,51328048,51511713,51561261,51625898,51780907,52373645,52443242,52479904,52740510,52748345,52949948,53165251,53326747,53461682,53568451,54071018,54224784,54278204,54476522,54608347,54925867,55399987,55557451,55603868,55635462,55816260,55858621,56172534,56205972,56256544,56265261,56495402,56603064,56682340,56696498,57116251,57655027,57744054,57972838,58100828,58300082,58571358,58687004,58725732,58797667,59039892,59098418,59113453,59250187,59297642,59537344,59634632,59746317,60518251,60550184,60688178,60734588,60739867,60993510,61002882,61301422,61524365,61541508,61619851,61756028,61983451,62248985,62465642,62486501,62561467,62848374,63288612,63298014,63448082,63678447,63794204,63797860,63940461,63986347,64176365,64338067,64478251,64622258,65012498,65059744,65119304,65864251,66546451,66682027,66955058,66979512,67088961,67146772,67341842,67384600,67535018,67889251,68018808,68088187,68118957,68549851,68764232,69007987,69333067,69481709,69777365,69977827,70303004,70562045,70864845,70878428,70987562,70994467,71120251,71245747,71368298,71433451,71744851,71748458,72239347,72399944,73192212,73259217,73263700,73562757,73664734,73829238,73985757,73993267,74205458,74348587,74466451,74642707,74672637,74698782,74731461,74956562,75051451,75225547,75351951,75409701,75474897,75589168,75705362,75743947,75807675,75892202,76034204,76482451,76487089,76521159,76557432,76763251,77011638,77153347,77208787,77359761,77429827,78020285,78410251,78785227,79022588,79209451,79230698,79348445,79584837,79732028,79782578,79798030,79964673,80149778,80607187,80861520,81065258,81449937,81509851,81854587,81855548,81977138,82629307,82818340,83198251,83247722,83407702,83525347,83690108,83732838,83802907,83859477,83894851,84123451,84214387,84440467,84447790,84535004,84664747,84674454,85037814,85164101,85370347,85587067,85759147,85767722,85946642,85951784,86015107,86127111,86252288,86931451,87573460,87891950,87916440,88047307,88124851,88259498,88436402,88602428,88613261,88772347,88938753,88966025,89095385,89180227,89266430,89362747,89435251,89494802,89722387,90172445,90213787,90359313,90365765,90440264,90589987,90969210,91056187,91072682,91139800,91154251,91206245,91345857,91421738,91540027,91670108,91698045,91884547,92118122,92399851,92413517,92751067,92779867,92926093,92985362,93035827,93063907,93340747,93530251,93583747,93624342,93777536,94178251,94351627,94497427,94529974,94616947,94964707,95077027,95218134,95394482,95445451,95565482,95611627,95652451,95757636,95793067,95923960,95946837,96082507,96101227,96284467,96494851,96694867,96695757,96790987,96932348,96975451,97005187,97033824,97098002,97219027,97282313,97365547,97598107,97609627,97618677,97666147,97811248,97940251,97944362,98028451,98053507,98100321,98124787,98161867,98268427,98309251,98309468,98361451,98375707,98384851,98387457,98437267,98469307,98482627,98494147,98507251,98525467,98607885,98905995,99382008,99495861,99681950,...,17229838893112957266608431065961280179187819873485101261333614441685170878825803739349279548885516071300029345110434382878022632590001023431487269985058664056520231983425385578644825494486710684414281522204416445273417032344857884186136686793594168326620829705964898756988754251335130478348913481798091715424674077962665385162780815929477810607417014676507520264835653850574759903019485863008395528044187739917288800348701082276482493334365541248866516501908066940150780465078416197704447030891412033367048838044810946981659738019608997554923726080424455801857762276401782909417043095124388848523441532017091992051006689786508596683175765999539112278413542147474570407980212643408708484929470909963484942486716318652575403105620128068260479577732109820139201240259812059367099542300927698778181700043623888071320386090086243557099285224098084177130633757826230573224832657580836763855426875963532210343327949873665078896590055706566114070425752742073504561672612442297933180386170114268529945621866862520448066889313282417669816356581886768480117308839607397993859880322761874364716835789908793245575812199179753821111762919510349194071822026304067217828720140547601066913047933174803298963738564322437876535133775589714914850828730580770864293805542400075962034515128704742375687785526871841379425187730829051056756554125117224426241885751691104274076977657803119990158352555400882341368666310236395365376346442267634098945519305647898677770403887704488727692308896136944412146962791230405342144037535536920372014957937328123741272029382289436988343622629509473230190378293211202510715988927187734241133630330803112566115326340480745995638886862814912380911745602416711103947588074875439206485555371068922843678248394736537344440363453037099286781479391784734558418208733818336378514292559746907746628429187310162077434133943545775334321065443808879573635926484113163535982649577222519356663414520532033111782856328655807044748587071769437882215982176985452487298073838192660422020860085860534577719837438344040927726714881491272458841599578097981521177878961196435878456611124104772558715499987659187741314035356117408983832671270007868674497444022403234454075882406898694131814819158430986126644333636874546693103769441832599457971918388784743105786837009130376915482173901348646375495647607072139170687584204141667140530828837257305061679871519993588046216434105483016416902280203861494847071895155878185008069211064140374407339875275822863037129432880120693588240469013281669545222596928600987261911709233719533471555492826344340281294398687298339968882269829299012162173228341337411838973670944973037128683994803956710985761436503100289541798981723244130039397177741441735809098127951902038603851848976595007776535312239980710804883401154330380882970509408178962159004234266954726058564104050339966479745826822640722607071866252849863305615552969800468540356584204625126549465580600462404961256880215077876603136138808345089127406451436736475425937505748138151293376133068103271592837490389154739944035339856755387686667443202554876977074240213198420709226445204430705168499216575340983783953948898566876003802504762428349491165898826649621396627754884}
19853 168311646701868154966769816085164862820720073499636375145222118381644946: {19853,416703,496075,595290,634976,694435,714348,833322,992050,1190460,1269824,1428552,1607121,1843167,2199243,2873755,3448506,4331163,4653235,5014207,5583882,5727691,5748123,6320347,7020835,7343203,7746883,8425002,8598842,8792755,8923647,8930251,9579235,9626943,9790586,10490290,10551306,10757755,11482303,11495082,11920202,12093523,12284060,12588348,12763436,12909306,12914635,13207267,13697755,14177307,14304986,14468683,14675755,14740872,14784511,14871235,15418747,15497562,16088156,16403290,16433635,16437306,16568684,16583481,16843843,17028860,17174047,17519996,17610906,17793907,17845482,17999103,18039967,18233480,18550826,18900931,19048562,19338187,19683948,19720362,19836331,20417547,20434632,20465962,20512665,20543971,21120730,21450783,21794763,21880176,22138527,22364287,22731548,22851907,22983080,22988961,23325578,23432755,23696348,23854107,24108163,24525883,24538827,24594235,24615198,25222683,25344876,25598396,25855965,25917307,26501180,26526835,26660287,26928543,26956051,27001330,27105835,27579696,27591442,27871483,28119306,28978963,29348530,29513082,29649224,29995435,30454783,30956635,31027158,31147327,31338507,31366322,31801416,31832202,32236028,32266447,32401596,32473640,32527002,32549611,33291826,33355377,33361563,33564427,33834235,34705947,34960747,34982755,35056826,35218236,35376843,35711967,35776593,35887567,35994522,36052303,36146527,36381567,36532845,36554131,36863491,36893755,37050303,37147962,38672458,38755243,38968368,38991235,39145051,39538905,39941023,40101512,40103203,40104991,40584986,40601082,40671427,40703755,40712907,40893835,41740508,41812867,41843635,41979306,42174832,42551731,42936307,43272026,43471951,43641404,43647631,43715756,43839414,43860058,44019867,44257148,44272506,44308435,44687035,44912042,45114201,45254635,45751147,45807656,45878971,45919916,46544011,46733263,46789482,47070125,47446686,47707882,47782507,48844506,49041322,49072602,49204723,49224476,49397251,49527681,49867171,49917963,50081180,50108287,50212362,50241165,50257867,50788447,51244483,51271291,51503290,51533613,51536287,52095176,52180303,52662130,52725482,52788235,52981411,53081468,53164443,53170122,53590576,53624442,54149426,54305562,54811466,55492051,55657916,55737322,56067807,56484150,56801338,56927276,56979391,57290290,57650755,58341151,58607073,58961525,59078827,59298506,59327635,59353087,59516457,59911743,60097416,60168703,60249760,60263167,60289398,60675836,60887167,61181851,61504203,61558435,61803948,61817180,62158111,62451080,63194556,63345882,63349951,63816187,64160060,64625707,64961011,65426803,65599880,65619327,66140522,66187435,66815551,66933763,66987753,67446787,67609593,67628986,67780980,67820043,67847755,68439787,68682284,68748348,69040627,69180906,69504835,69770325,70257465,70320680,70405663,70753830,70852925,71192186,71193162,71449027,71766826,72189723,72299712,72544051,72626035,73246351,73358755,73407165,73740063,73799865,73870122,74180616,74421680,74543290,74728538,74896712,74941296,75020348,75207811,75470752,75671131,75675787,75687730,75918235,76166602,76323763,76926885,76938367,76992072,77195035,77291162,77425018,77438847,77647483,77980831,78027931,78095144,78216451,78300976,78664863,78719856,79110765,79135231,79424922,79622611,79661756,79742755,79747325,79881307,80192523,80337842,80811466,81106527,81141247,81324680,81334618,81337176,81399130,81417306,81714783,82053962,82055344,82476211,83231107,83405802,83453193,83724390,83797832,83933465,84230750,84258801,84308958,84384816,84397352,84743103,84904596,85023510,85044747,85253948,85584842,85596187,85754251,85955290,86616081,86735083,86959257,87151242,87429067,87450123,87857037,87878755,88030506,88088598,88372921,88559838,88598035,88647627,88946463,89165042,89306016,89451948,89520607,89853331,89938651,90499930,90691744,90825276,91032267,91101882,91265467,91490265,91504323,91579625,91618303,91651642,91748626,91952133,92034026,92103331,92312262,92634042,92937547,93391327,93697087,93698463,94069483,94272561,94486460,94932918,94947021,95023546,95042755,95172123,95555338,95594491,95691306,95696790,95707723,96876403,96933387,97343683,97518747,97589616,97678956,97796287,98083676,98281051,98399482,98438984,98647676,98697247,98778235,99066271,99563516,99598376,99641948,99665035,99786667,...,25844758339669435899912646598941920268781729810227651892000421662527756318238705609023919323328274106950044017665651574317033948885001535147230904977587996084780347975138078367967238241730066026621422283306624667910125548517286826279205030190391252489931244558947348135483131377002695717523370222697137573137011116943998077744171223894216715911125522014761280397253480775862139854529228794512593292066281609875933200523051623414723740001548311873299774752862100410226170697617624296556670546337118050050573257067216420472489607029413496332385589120636683702786643414602674364125564642686583272785162298025637988076510034679762895024763648999308668417620313221211855611970318965113062727394206364945227413730074477978863104658430192102390719366598164730208801860389718089050649313451391548167272550065435832106980579135129365335648927836147126265695950636739345859837248986371255145783140313945298315514991924810497618344885083559849171105638629113110256842508918663446899770579255171402794918432800293780672100333969923626504724534872830152720175963259411096990789820484142811547075253684863189868363718298769630731667644379265523791107733039456100826743080210821401600369571899762204948445607846483656814802700663384572372276243095871156296440708313600113943051772693057113563531678290307762069137781596243576585134831187675836639362828627536656411115466486704679985237528833101323512052999465354593048064519663401451148418278958471848016655605831556733091538463344205416618220444186845608013216056303305380558022436905992185611908044073434155482515433944264209845285567439816803766073983390781601361700445496204668849172989510721118993458330294222368571367618403625066655921382112313158809728333056603384265517372592104806016660545179555648930172219087677101837627313100727504567771438839620361619942643780965243116151200915318663001481598165713319360453889726169745303973974365833779034995121780798049667674284492983710567122880607654156823323973265478178730947110757288990633031290128790801866579756157516061391590072322236908688262399367146972281766818441794653817684916686157158838073249981488781611971053034176113475749006905011803011746166033604851681113823610348041197722228737646479189966500455311820039655654162748899186957877583177114658680255513695565373223260852022969563243471410608208756031376306212500710796243255885957592519807279990382069324651158224524625353420305792242270607842733817277512103816596210561611009812913734294555694149320181040382360703519922504317833895392901480892867563850579300207333239239516510421941598030947509953323404743948518243259842512006117758460506417459555693025992205935066478642154754650434312698472584866195059095766612162603713647191927853057905777773464892511664802968359971066207325101731495571324455764112268443238506351400432089087846156075509949719618740233961083910607799379274794958423329454700702810534876306937689824198370900693607441885320322616814904704208212517633691109677155104713138906258622207226940064199602154907389256235583732109916053009785133081530001164803832315465611360319797631063839667806646057752748824863011475675930923347850314005703757143642524236748848239974432094941632326}
19854 168966421465710001121915338008241015268641132337768259128242083589428846: {218273,257933,436502,555604,793720,812333,892935,952464,1049453,1071522,1111096,1207373,1249983,1488075,1587280,1785690,1904736,1995053,2034353,2142828,2335574,2457556,2505329,2701229,2932324,3092429,3287729,3404813,3517814,3794573,3989702,4461014,4598008,4920353,5036429,5172759,5306993,5422829,5538593,5774884,6077873,6116333,6768929,6883853,7445176,7457393,7510502,7664164,7724429,8181293,8371313,8375823,8409293,8978033,9053729,10072493,10535654,10998902,11233336,11309729,11461574,11869229,11898196,12154502,12315533,12352673,12426929,12637503,12835924,12898263,12908813,13241633,14015693,14068408,14685879,14749613,14913254,15142214,15326776,15355075,15662513,15735435,15826959,15954295,16207853,16284854,16715213,16740902,16784464,17184929,17212408,17242623,17423894,17725229,17797133,17878502,17880303,18426090,18559334,18882522,18903076,19145154,19363959,19654496,19761953,19939373,20110195,20576429,20663416,20710855,21034913,21286075,21457479,21562253,21719414,21737633,21899995,21916408,22111308,22262573,22681229,22791850,22841174,23029229,23246343,23481208,23793976,23998804,24132234,24137453,24604935,24628502,24655959,24853026,25168973,25374413,25543290,25943071,26245264,26279994,26293816,26295329,26416359,26736653,26768223,27223396,27244193,27246176,27311729,27350220,27826239,28253873,28414435,28421453,28572843,28601044,28655729,28728850,29059684,29156429,29173568,29223053,29496134,29518036,29525922,29555693,29580543,29620435,29821229,30251633,30651948,30698943,31175287,31206893,31239713,31248902,31403693,31681095,31805476,31903814,31997995,32122829,32675873,32718436,32820264,33126475,33581729,33630244,33678413,33742829,33793168,34097322,34474620,34609313,34641293,34928753,34988367,35088823,35279213,35544522,35590502,35755553,35904724,35977229,36021494,36135329,36702833,36772928,36902978,36922797,37061530,37096454,37492408,37923533,38017314,38167814,38397594,39350776,39448694,39751770,39961613,40081699,40084013,40295035,40501995,40592050,41240429,41360294,41369544,41387163,41452193,41542829,41571974,41633393,41784676,42055073,42178959,42235313,42401888,42442936,42445229,42893729,43042829,43049702,43202128,43369336,43429553,43696493,44022795,44100902,44269623,44473836,44482084,45546929,45550087,45583279,45779633,45895793,46127729,46274596,46540737,46762913,46817174,46891754,46957648,47049483,47169124,47422829,47615956,47702124,47748303,47765453,47992696,48165403,48220493,48354042,48362273,48508756,48602394,48616973,48710460,48790503,49400404,49405229,49530616,49545329,49908653,49937739,50126890,50159393,50714273,50880113,51485729,51957824,51972374,52175635,52585239,52718540,52758178,52793633,52827354,52992614,53036813,53333153,53399702,53574893,53976353,53991783,54134776,54283876,54414902,54551755,54641453,54644695,54720929,55022294,55321435,55426502,55432973,55590413,55721943,55830134,55972408,56034929,56373293,57123233,57259570,57399895,57839654,58008687,58273613,58439702,58452552,58693156,58804913,58905713,58981229,59030008,59038454,59407793,60105329,60152268,60599729,60877479,60901623,60919373,60968429,61262093,61530595,61578929,61651853,61773233,61991213,62012774,62385976,62406902,62425229,62593313,62601475,62610762,62784929,62800454,62968959,63023729,63262248,64017953,64088429,64509773,64905329,64908039,65118970,65126008,65344502,65430136,65462106,65534623,65573634,65759121,65790087,65872673,66036908,66351053,66351835,66385722,66408759,66554993,66557284,66577613,66949816,66988220,67185329,67284902,67368063,67520429,68333251,68449133,68513354,68634614,68690033,68711484,68879874,68886413,69016973,69210902,69342113,69572395,69600929,69785894,69815729,69986993,70072433,70184223,70391693,70561229,70885924,70893496,71159095,71170029,71463713,71499256,71561823,71567693,71798426,72187373,72269453,72407416,72982193,73266759,73304753,73323103,73397414,73561983,73585313,73586054,73608903,73836714,73844429,73847683,73943729,74141729,74273551,74299553,74378273,74496113,74757076,75119729,75121770,75255053,75312200,75312929,75318543,75370733,75844795,75925793,76172429,76455329,76511693,76773773,77108429,77163953,77254935,77271475,77605553,77988173,78063850,78114929,78142764,78205229,78331313,78439073,78993195,78993974,79008929,79088223,79185329,79220513,79355276,79588013,79622202,79755183,79882324,79914134,80129888,80200075,80226929,80312429,80385864,80436663,80686253,80770673,81224139,81372593,81458343,81510682,81686093,81743654,81866273,81980429,81999850,82005604,82114747,82217199,82405264,82513313,82752653,82974413,83196902,83486874,83490929,83605983,83692013,83830433,84135713,84150893,84226673,84259408,84377633,84452813,84461176,84726225,84810893,85076429,85120433,85202007,85222829,85295729,85390914,85397453,85513229,85538774,85852855,85871729,85935435,86084429,86134111,86615213,87058322,87148579,87228833,87492436,87678902,87721229,87900850,88073633,88151153,88343693,88521773,88710833,88947759,89206193,89317004,89664929,89748173,89846911,89983853,90053933,90146124,90324902,90374640,90426724,90434097,90839153,91013754,91146929,91179533,91341473,91395053,91548614,91664464,91680929,91909553,92241208,92245229,92325293,92418374,92542829,92562413,92688929,92705922,92725770,93004013,93022829,93027100,93088433,93144353,93328673,93457334,93545633,93620890,93676620,93766733,93775435,93819053,93836429,94093229,94147094,94301729,94326413,94338440,94367393,94440653,94545329,94640753,94791834,94924216,95018823,95033453,95183407,95247473,95290913,95634893,95675693,95689229,96032054,96099233,96173729,96240090,96252964,96307313,96343073,96396173,96399616,96511853,96613229,96629873,96733613,96776429,96891533,96982829,96992813,97022573,97129229,97138733,97185773,97236593,97290929,97408973,97421729,97592753,97616033,97618930,97631393,97687853,97688311,97698929,97876220,97997729,98021153,98055329,98074733,98096429,98180513,98201933,98242829,98258033,98264429,98289293,98320084,98330033,98360429,98372273,98380493,98390093,98399820,98403953,98429729,98439053,98457713,98464673,98474573,98482829,98493496,98502893,98511473,98525729,98533229,98543729,98545313,98574374,98786863,98907488,99210783,99577195,99921728,...,38767137509504153849868969898412880403172594715341477838000632493791634477358058413535878984992411160425066026498477361475550923327502302720846357466381994127170521962707117551950857362595099039932133424959937001865188322775930239418807545285586878734896866838421022203224697065504043576285055334045706359705516675415997116616256835841325073866688283022141920595880221163793209781793843191768889938099422414813899800784577435122085610002322467809949662129293150615339256046426436444835005819505677075075859885600824630708734410544120244498578383680955025554179965121904011546188346964029874909177743447038456982114765052019644342537145473498963002626430469831817783417955478447669594091091309547417841120595111716968294656987645288153586079049897247095313202790584577133575973970177087322250908825098153748160470868702694048003473391754220689398543925955109018789755873479556882718674710470917947473272487887215746427517327625339773756658457943669665385263763377995170349655868882757104192377649200440671008150500954885439757086802309245229080263944889116645486184730726214217320612880527294784802545577448154446097501466568898285686661599559184151240114620316232102400554357849643307422668411769725485222204050995076858558414364643806734444661062470400170914577659039585670345297517435461643103706672394365364877702246781513754959044242941304984616673199730057019977856293249651985268079499198031889572096779495102176722627418437707772024983408747335099637307695016308124927330666280268412019824084454958070837033655358988278417862066110151233223773150916396314767928351159725205649110975086172402042550668244307003273759484266081678490187495441333552857051427605437599983882073168469738214592499584905076398276058888157209024990817769333473395258328631515652756440969651091256851657158259430542429913965671447864674226801372977994502222397248569979040680834589254617955960961548750668552492682671197074501511426739475565850684320911481235234985959898217268096420666135933485949546935193186202799869634236274092087385108483355363032393599050720458422650227662691980726527375029235738257109874972233172417956579551264170213623510357517704517619249050407277521670735415522061796583343106469718784949750682967730059483481244123348780436816374765671988020383270543348059834891278034454344865207115912313134047064459318751066194364883828936388779710919985573103986976737336786938030130458688363405911764100725916268155724894315842416514719370601441833541223980271560573541055279883756476750843089352221339301345775868950310999858859274765632912397046421264929985107115922777364889763768009176637690759626189333539538988308902599717963232131975651469047708877299292588643649918243905570470787891779586858666660197338767497204452539956599310987652597243356986683646168402664857759527100648133631769234113264924579428110350941625865911699068912192437634994182051054215802314460406534736297556351040411162827980483925222357056312318776450536664515732657069708359387933310840410096299403232361083884353375598164874079514677699622295001747205748473198417040479696446595759501709969086629123237294517213513896385021775471008555635715463786355123272359961648142412448489}
19855 169623725495959809498207606969072250105487127399874674723532618230071859: {39706,654753,694505,833406,972209,992150,1190580,1269952,1388870,1428696,1607283,1666644,1984100,2380920,2539648,2678535,2857104,3071945,3214242,3503361,3665405,3686334,4023257,4398486,5276721,5747510,5925881,5984553,6401537,6514529,6691521,6756233,6897012,7218605,7469501,8658281,8662326,9306470,9365873,9580205,9829169,10028414,10553933,11167764,11265753,11455382,11496246,12309857,12454829,12640694,13410929,14041670,14118113,14575649,14686406,14872745,15060857,15493766,15803481,16044905,16170881,16498353,16850004,17192361,17197684,17585510,17847294,17860502,18080489,18231753,19021073,19158470,19176857,19253886,19581172,20296601,20508749,20546057,20819729,20980580,21102612,21319961,21515510,22170017,22369881,22713321,22854221,22964606,22990164,23007089,23628845,23840404,24187046,24427281,24568120,25111353,25176696,25526872,25818612,25829270,26135841,26414534,26430521,26536337,26817753,27395510,27411281,27544649,27639135,27839001,28323783,28354614,28609972,28717731,28815089,28937366,29351510,29481744,29569022,29742470,29998505,30001709,30837494,30995124,31150481,32176312,32579121,32805857,32806580,32867270,32874612,33137368,33166962,33175361,33687686,33999449,34029245,34057720,34187775,34261761,34348094,34431929,35039992,35221812,35288033,35587814,35690964,35751305,35891201,35998206,36079934,36198351,36324605,36378977,36466960,36897545,36942753,37101652,37137569,37279539,37371833,37801862,37948169,38097124,38314935,38391737,38676374,39367896,39419991,39440724,39672662,39756845,40835094,40854617,40869264,40898045,40931924,41025330,41087942,41817101,41993609,42037805,42241460,42901566,43093275,43133897,43339289,43476353,43589526,43760352,44244201,44277054,44288883,44696513,44728574,44880905,45030761,45463096,45703814,45966160,45977922,46262333,46548737,46651156,46865510,46873353,47367929,47392696,47557817,47708214,47855721,48216326,48962729,48975857,49051766,49077654,49188470,49230396,49402253,50113361,50445366,50536529,50689752,51145983,51196792,51276497,51651257,51711930,51806873,51834614,51967553,52019777,52230845,52528589,53002360,53053670,53316783,53320574,53385753,53857086,53912102,54002660,54032241,54211670,54587729,55159392,55182884,55354467,55592295,55602605,55644681,55733897,55742966,56238612,56985257,57025971,57251369,57251721,57596391,57697097,57843245,57957926,58581089,58697060,58961405,59026164,59173041,59298448,59319089,59395661,59519945,59627655,59990870,60635945,60888075,60906521,60909566,61750505,61913270,61960721,62031809,62040441,62054316,62294654,62325437,62357961,62561849,62677014,62732644,63356489,63602832,63664404,64472056,64532894,64574553,64803192,64947280,65054004,65099222,65401289,65898175,66151353,66583652,66710754,66723126,67128854,67245233,67668470,67854845,68352113,68948633,69411894,69921494,69965510,70113652,70225761,70337631,70436472,70753686,71423934,71553186,71775134,71957561,71989044,72104606,72293054,72312449,72531063,72551417,72763134,72903591,73065690,73108262,73366445,73682429,73726982,73787510,73903529,74100606,74295924,75190335,76337837,77344916,77510486,77547089,77936736,77958561,77982470,78290102,78414509,78628649,78963833,79077810,79137267,79241031,79358297,79486397,79488921,79882046,79889513,80099553,80203024,80206406,80209982,80288909,80624249,80711057,81169972,81202164,81342854,81407510,81425814,81622353,81787670,82533441,82546135,83058689,83139753,83196605,83481016,83610689,83625734,83687270,83735275,83745201,83958612,84349664,84573617,84925049,85103462,85872614,85889355,86181809,86544052,86759481,86782481,86943902,87282808,87291161,87295262,87431512,87659553,87678828,87720116,88039734,88514296,88545012,88557681,88607405,88616870,88989977,89374070,89435021,89824084,89947913,90228402,90509270,90927161,91502294,91615312,91757942,91839832,91900937,92662409,93019161,93088022,93446345,93466526,93578964,93610353,93793769,93916143,94140250,94200681,94405181,94893372,94986857,95415764,95422889,95565014,95717441,95894201,97306769,97458449,97678455,97689012,98016753,98082644,98145204,98193159,98360451,98409446,98448952,98707433,98794502,99055362,99194095,99347033,99578583,99734342,99762989,99835926,99852905,...,51689516679338871799825293197883840537563459620455303784000843325055512636477411218047838646656548213900088035331303148634067897770003070294461809955175992169560695950276156735934476483460132053242844566613249335820251097034573652558410060380782504979862489117894696270966262754005391435046740445394275146274022233887996155488342447788433431822251044029522560794506961551724279709058457589025186584132563219751866401046103246829447480003096623746599549505724200820452341395235248593113341092674236100101146514134432840944979214058826992664771178241273367405573286829205348728251129285373166545570324596051275976153020069359525790049527297998617336835240626442423711223940637930226125454788412729890454827460148955957726209316860384204781438733196329460417603720779436178101298626902783096334545100130871664213961158270258730671297855672294252531391901273478691719674497972742510291566280627890596631029983849620995236689770167119698342211277258226220513685017837326893799541158510342805589836865600587561344200667939847253009449069745660305440351926518822193981579640968285623094150507369726379736727436597539261463335288758531047582215466078912201653486160421642803200739143799524409896891215692967313629605401326769144744552486191742312592881416627200227886103545386114227127063356580615524138275563192487153170269662375351673278725657255073312822230932973409359970475057666202647024105998930709186096129039326802902296836557916943696033311211663113466183076926688410833236440888373691216026432112606610761116044873811984371223816088146868310965030867888528419690571134879633607532147966781563202723400890992409337698345979021442237986916660588444737142735236807250133311842764224626317619456666113206768531034745184209612033321090359111297860344438175354203675254626201455009135542877679240723239885287561930486232302401830637326002963196331426638720907779452339490607947948731667558069990243561596099335348568985967421134245761215308313646647946530956357461894221514577981266062580257581603733159512315032122783180144644473817376524798734293944563533636883589307635369833372314317676146499962977563223942106068352226951498013810023606023492332067209703362227647220696082395444457475292958379933000910623640079311308325497798373915755166354229317360511027391130746446521704045939126486942821216417512062752612425001421592486511771915185039614559980764138649302316449049250706840611584484541215685467634555024207633192421123222019625827468589111388298640362080764721407039845008635667790785802961785735127701158600414666478479033020843883196061895019906646809487897036486519685024012235516921012834919111386051984411870132957284309509300868625396945169732390118191533224325207427294383855706115811555546929785023329605936719942132414650203462991142648911528224536886477012702800864178175692312151019899439237480467922167821215598758549589916846658909401405621069752613875379648396741801387214883770640645233629809408416425035267382219354310209426277812517244414453880128399204309814778512471167464219832106019570266163060002329607664630931222720639595262127679335613292115505497649726022951351861846695700628011407514287285048473497696479948864189883264652}
19856 170283568493675281226991838884450180482677212138279541968773292762551174: {59559,257959,436546,515866,733303,851959,873004,1111208,1250109,1488225,1562383,1587440,1624666,1785870,1904928,1916623,2034559,2083305,2098906,2143044,2222192,2414746,2480125,2499966,2740663,2976150,3092743,3174560,3571380,3809472,3990106,4068706,4285656,4671148,4821363,4915112,5010658,5402458,5529501,5864648,6116959,6184858,6575458,6597729,6807943,6809626,7035628,7152463,7267159,7381783,7589146,7953823,7979404,8410159,8524063,8621265,8922028,9196016,9840706,10072858,10111159,10345518,10562023,10613986,10845658,11077186,11549768,11684143,11907703,12155746,12232666,12353959,12910159,12993489,13537858,13767706,13959705,14677903,14890352,14914786,15007303,15021004,15042621,15328328,15448858,16362586,16644583,16742626,16751646,16753159,16818586,17183073,17244369,17727103,17956066,18107458,18802423,18961041,19976959,20083303,20144986,21062505,21071308,21497105,21997804,22029609,22336013,22466672,22619458,22923148,23240649,23738458,23796392,24174559,24309004,24476465,24631066,24705346,24853858,25275006,25671848,25796526,25817626,25821343,26225725,26230159,26332183,26378265,26483266,26770941,26790753,26841223,27348463,28031386,28136816,28154273,28256959,28357543,28658863,28737705,28880829,28995197,29371758,29499226,29658583,29800505,29826508,30155743,30284428,30653552,30659993,30710150,31243159,31325026,31470870,31653918,31832623,31908590,32273265,32415706,32569708,33430426,33481804,33568928,33585463,33778783,34369858,34424816,34446909,34485246,34645159,34847788,35450458,35594266,35600959,35757004,35760606,35762465,35981263,36170983,36280569,36843521,36852180,37118668,37765044,37806152,37958959,38290308,38727918,38743905,39308992,39523906,39621801,39780209,39878746,40180303,40220390,41008225,41093265,41093623,41152858,41326832,41421710,41468609,41728663,42069826,42450103,42531921,42572150,42898663,42914958,42988159,43124506,43406049,43438828,43475266,43799990,43832816,43967863,44027265,44222616,44233543,44353533,44525146,44613705,44797193,45114463,45362458,45552223,45583700,45682348,46058458,46162063,46256241,46377065,46492686,46595503,46962416,47027143,47587952,47621405,47799559,47997608,48264468,48274906,49209870,49257004,49300905,49311918,49706052,49750443,49914559,50337946,50531529,50748826,51086580,51164905,51522141,51886142,52066423,52490528,52559988,52587632,52590658,52799959,52801825,52832718,53381721,53473306,53536446,53831921,53997309,54009559,54119901,54446792,54488386,54492352,54623458,54700440,55652478,56413049,56507746,56702793,56828870,56842906,56922749,57145686,57202088,57311458,57457700,57464263,58014561,58119368,58306159,58312858,58313945,58347136,58446106,58610143,58992268,59036072,59051844,59111386,59161086,59240870,59440159,59508993,59642458,60503266,60631903,60926959,61252641,61294159,61303896,61397886,61537995,61631913,62350574,62413786,62457103,62479426,62497804,62744959,62807386,63031663,63362190,63610952,63807628,63995990,64245658,64352349,64936783,65351746,65384289,65436872,65491183,65640528,66252950,66415581,66586159,66857023,67092861,67163458,67260488,67356826,67485658,67503325,67586336,67595959,68194644,68555721,68917159,68949240,68966883,68978605,69177943,69218626,69282586,69631543,69824863,69857506,69976734,70145623,70177646,70298265,70558426,70591663,70781743,70844959,71089044,71181004,71511106,71562321,71809448,71954458,72042988,72094159,72270658,72324489,73045889,73371325,73374823,73405666,73545856,73577649,73615159,73616481,73782705,73805956,73845594,73973503,74123060,74151703,74192908,74858023,74984816,75032983,75438703,75668049,75847066,76034628,76335628,76372457,76465783,76502573,76795188,77359159,77450009,77567895,77751921,78125743,78234103,78396103,78415805,78503743,78701552,78897388,79503540,79511959,79580505,79923226,79980861,80163398,80168026,80340823,80359853,80545159,80590070,80785629,80868153,81003990,81101143,81184100,81317505,81746983,81992143,82480858,82525159,82720588,82739088,82764559,82774326,82904386,83085658,83143948,83229565,83266786,83569352,83614449,83657863,84110146,84163159,84357918,84389959,84470626,84803776,84882583,84885872,84890458,85712959,85787458,85969783,86085658,86099404,86142833,86404256,86738672,86859106,86936889,87011983,87134023,87392986,87536143,87642065,87734503,87777833,87970159,88009183,88045590,88201804,88203223,88539246,88547959,88736959,88924159,88947672,88964168,89293159,89690743,89797663,89986305,90149383,90322543,90897823,91093858,91100174,91166558,91226503,91323703,91355959,91364349,91559266,91706023,91791586,92016703,92255458,92549192,92557783,92869905,92892569,93081474,93159559,93441981,93525826,93596743,93634348,93783508,93860623,93915296,94015521,94098966,94338248,94585159,94820959,94845658,94913263,95231912,95404248,95464063,95496606,95506183,95530906,95792959,95812903,95985392,96008383,96084559,96196663,96288103,96330806,96440986,96602383,96635863,96681145,96708084,96724546,96798943,96799341,97017512,97044701,97074343,97146703,97204788,97233946,97401353,97420920,97430959,97581006,97648833,97823863,97884559,97923583,97933159,98033743,98193073,98222959,98283223,98289559,98465959,98503183,98511823,98545303,98552863,98563159,98564743,98800808,98810458,99061232,99090658,99622733,99817306,99875478,...,77534275019008307699737939796825760806345189430682955676001264987583268954716116827071757969984822320850132052996954722951101846655004605441692714932763988254341043925414235103901714725190198079864266849919874003730376645551860478837615090571173757469793733676842044406449394131008087152570110668091412719411033350831994233232513671682650147733376566044283841191760442327586419563587686383537779876198844829627799601569154870244171220004644935619899324258586301230678512092852872889670011639011354150151719771201649261417468821088240488997156767361910051108359930243808023092376693928059749818355486894076913964229530104039288685074290946997926005252860939663635566835910956895339188182182619094835682241190223433936589313975290576307172158099794494190626405581169154267151947940354174644501817650196307496320941737405388096006946783508441378797087851910218037579511746959113765437349420941835894946544975774431492855034655250679547513316915887339330770527526755990340699311737765514208384755298400881342016301001909770879514173604618490458160527889778233290972369461452428434641225761054589569605091154896308892195002933137796571373323199118368302480229240632464204801108715699286614845336823539450970444408101990153717116828729287613468889322124940800341829155318079171340690595034870923286207413344788730729755404493563027509918088485882609969233346399460114039955712586499303970536158998396063779144193558990204353445254836875415544049966817494670199274615390032616249854661332560536824039648168909916141674067310717976556835724132220302466447546301832792629535856702319450411298221950172344804085101336488614006547518968532163356980374990882667105714102855210875199967764146336939476429184999169810152796552117776314418049981635538666946790516657263031305512881939302182513703314316518861084859827931342895729348453602745955989004444794497139958081361669178509235911921923097501337104985365342394149003022853478951131701368641822962470469971919796434536192841332271866971899093870386372405599739268472548184174770216966710726064787198101440916845300455325383961453054750058471476514219749944466344835913159102528340427247020715035409035238498100814555043341470831044123593166686212939437569899501365935460118966962488246697560873632749531343976040766541086696119669782556068908689730414231824626268094128918637502132388729767657872777559421839971146207973953474673573876060260917376726811823528201451832536311449788631684833029438741202883667082447960543121147082110559767512953501686178704442678602691551737900621999717718549531265824794092842529859970214231845554729779527536018353275381519252378667079077976617805199435926464263951302938095417754598585177287299836487811140941575783559173717333320394677534994408905079913198621975305194486713973367292336805329715519054201296267263538468226529849158856220701883251731823398137824384875269988364102108431604628920813069472595112702080822325655960967850444714112624637552901073329031465314139416718775866621680820192598806464722167768706751196329748159029355399244590003494411496946396834080959392893191519003419938173258246474589034427027792770043550942017111271430927572710246544719923296284824896978}
19857 170945960196859705465320513821454696580896425274871094938081598873400764: {79412,654819,773799,972307,1091255,1309506,1389010,1666812,1944418,1984300,2381160,2436999,2539904,2678805,2777740,2857392,3148359,3214566,3333288,3622119,3749949,3968200,4300723,4464225,4761840,5079296,5131567,5357070,5714208,5838935,5985159,6103059,6143890,6428484,7006722,7154659,7330810,7372668,7515987,7984639,8046514,8103687,8794535,8796972,9277287,9863187,9974255,10106047,10214439,10553442,11068759,11152535,11383719,11495020,11539319,11851762,11969106,12803074,13029058,13383042,13412287,13512466,13794024,13920103,14437210,14761059,14939002,15109287,15518277,15814607,15920979,16268487,16615779,17225767,17316562,17324652,18043619,18233619,18348999,18612940,18664799,18731746,18776255,19160410,19658338,20056828,20306787,20651559,20821843,21107866,22335528,22372179,22462867,22531506,22910764,22921543,22992492,23173287,23232803,24543879,24619714,24909658,25113939,25127469,25227879,25281388,26339135,26821858,26934099,27161187,27497255,28083340,28236226,28653935,29151298,29372812,29658259,29701463,29745490,29883263,30121714,30217479,30386255,30987532,31465207,31606962,32089810,32272979,32283383,32341762,32552767,32996706,33080383,33700008,33891863,33929187,34384722,34395368,35171020,35607687,35694588,35721004,36160978,36463506,36946599,37058019,37280787,37283135,37704659,37855535,37895567,37912509,38042146,38316940,38353714,38507772,38694789,38726439,39162344,39724899,40181167,40593202,40712135,41017498,41039443,41092114,41639458,41704039,41852255,41961160,41997907,42047079,42205224,42639922,42944999,43031020,43559735,43656467,43891943,44057637,44248839,44340034,44596063,44696255,44701039,44739762,45426642,45708442,45929212,45980328,46014178,46065225,46398335,46987539,47206305,47257690,47480877,47640943,47680808,47862885,48374092,48548147,48623559,48854562,48967687,49136240,50051827,50145639,50222706,50353392,50854447,50946359,51053744,51554787,51637224,51656563,51658540,51727869,51812119,52025059,52271682,52829068,52861042,53072674,53175687,53391399,53635506,53640909,54298535,54769523,54791020,54822562,55089298,55278270,55480559,55659583,55678002,56482003,56647566,56653619,56709228,56979625,57102935,57219944,57257263,57435462,57630178,57780383,57874732,57928343,58091877,58703020,58708423,58852927,58963488,59138044,59285859,59484940,59818119,59828423,59997010,60003418,60330585,61416199,61571255,61674988,61729287,61990248,62065247,62132565,62300962,62833267,63019319,63104739,63858225,64352624,64372437,64686759,65158242,65212899,65611714,65613160,65699985,65734540,65749224,65869043,66274736,66333924,66350722,66623743,66787719,67375372,67998898,68043687,68058490,68115440,68375550,68523522,68696188,68711459,68863858,69087687,69739029,70079984,70443624,70576066,71175628,71381928,71502610,71782402,71822125,71983823,71996412,72159868,72396702,72412359,72649210,72757954,72933920,73123183,73740335,73795090,73814805,73885506,73967877,74203304,74275138,74559078,74743666,74828903,75141487,75506919,75603724,75896338,76123239,76194248,76629870,76783474,76955027,77352748,77554963,77829213,77843647,78122255,78231119,78735792,78839982,78881448,78885987,79249077,79345324,79471639,79513690,79759535,80209959,80304669,80980543,81670188,81709234,81732579,81738528,81796090,81863848,81935187,81997619,82050660,82175884,82239607,82545967,82636403,83256503,83327923,83478717,83634202,83987218,84075610,84482920,84761619,84831283,84890323,85243305,85264359,85318759,85460167,85558127,85718529,85803132,85967187,86186550,86267794,86450707,86463383,86678578,86952706,87179052,87469287,87520704,87528767,87669159,88488402,88554108,88577766,88667079,88741629,88861305,88976255,89393026,89457148,89463687,89498183,89539043,89734663,89761810,90053735,90061522,90754899,90926192,91407628,91932320,91955844,92096829,92257445,92524666,92653825,92741135,92924767,93097474,93302312,93433343,93525861,93558623,93620679,93719139,93731020,93746706,94211079,94414879,94550819,94735858,94785392,94996783,95016223,95043285,95115634,95218223,95416428,95419535,95711442,95993985,96368487,96432652,96435847,97925458,97951714,98027619,98103532,98155308,98376940,98460792,98621735,98804506,99379425,99549923,...,116301412528512461549606909695238641209517784146024433514001897481374903432074175240607636954977233481275198079495432084426652769982506908162539072399145982381511565888121352655852572087785297119796400274879811005595564968327790718256422635856760636204690600515263066609674091196512130728855166002137119079116550026247991349848770507523975221600064849066425761787640663491379629345381529575306669814298267244441699402353732305366256830006967403429848986387879451846017768139279309334505017458517031225227579656802473892126203231632360733495735151042865076662539895365712034638565040892089624727533230341115370946344295156058933027611436420496889007879291409495453350253866435343008782273273928642253523361785335150904883970962935864460758237149691741285939608371753731400727921910531261966752726475294461244481412606108082144010420175262662068195631777865327056369267620438670648156024131412753842419817463661647239282551982876019321269975373831008996155791290133985511048967606648271312577132947601322013024451502864656319271260406927735687240791834667349936458554192178642651961838641581884354407636732344463338292504399706694857059984798677552453720343860948696307201663073548929922268005235309176455666612152985230575675243093931420203333983187411200512743732977118757011035892552306384929311120017183096094633106740344541264877132728823914953850019599190171059933568879748955955804238497594095668716290338485306530167882255313123316074950226242005298911923085048924374781991998840805236059472253364874212511100966076964835253586198330453699671319452749188944303785053479175616947332925258517206127652004732921009821278452798245035470562486324000658571154282816312799951646219505409214643777498754715229194828176664471627074972453308000420185774985894546958269322908953273770554971474778291627289741897014343594022680404118933983506667191745709937122042503767763853867882884646252005657478048013591223504534280218426697552052962734443705704957879694651804289261998407800457848640805579558608399608902708822276262155325450066089097180797152161375267950682988075942179582125087707214771329624916699517253869738653792510640870531072553113552857747151221832565012206246566185389750029319409156354849252048903190178450443732370046341310449124297015964061149811630044179504673834103363034595621347736939402141193377956253198583094651486809166339132759956719311960930212010360814090391376065090217735292302177748804467174682947527249544158111804325500623671940814681720623165839651269430252529268056664017904037327606850932999576577824296898737191139263794789955321347768332094669291304027529913072278878568000618616964926707799153889696395926954407143126631897877765930949754731716711412363675338760575999980592016302491613357619869797932962957791730070960050938505207994573278581301944400895307702339794773738284331052824877597735097206736577312904982546153162647406943381219604208892669053121233488483941451775667071168936956329351609993547197971209125078163799932521230288898209697083251653060126794494622238544033098866885005241617245419595251121439089339787278505129907259887369711883551640541689155065326413025666907146391359065369817079884944427237345467}
19858 171610910380601667727436333122826558296245762260517383217508637769385087: {99265,119118,337297,515918,873092,1031732,1466606,1703918,1746008,1964259,2083515,2113357,2222416,2480375,2500218,2584237,2916627,2936641,2976450,3124766,3174880,3249332,3472175,3571740,3809856,3833246,3873217,4069118,4166610,4197812,4286088,4444384,4821849,4829492,4960250,4999932,5481326,5501137,5952300,6185486,6194497,6349120,7142760,7573441,7618944,7802257,7980212,8035605,8137412,8373037,8571312,9055597,9215835,9282541,9342296,9642726,9830224,10021316,10510083,10750657,10804916,10975441,10996215,11059002,11536141,11729296,12069771,12233918,12369716,12429517,12985537,13150916,13195458,13429057,13615886,13619252,13760941,14071256,14304926,14368775,14534318,14763566,15178292,15629377,15738637,15830163,15907646,15958808,16283857,16820318,17048126,17242530,17260717,17777643,17800897,17844056,17908717,17953659,18392032,19196941,19204611,19543587,19681412,19943617,20074563,20145716,20222318,20268699,20691036,20792641,21124046,21227972,21655815,21691316,22154372,22162477,22408503,23099536,23266175,23368286,23815406,24311492,24452941,24465332,24707918,25071035,25820318,25974843,25986978,27075716,27317677,27535412,27919410,28097619,28638455,28728877,28740615,29229457,29329357,29355806,29487507,29780704,29829572,30014606,30042008,30085242,30095947,30324397,30656656,30897716,31016641,31601735,31661799,32683117,32725172,33289166,33485252,33503292,33506318,33637172,33653677,33750337,33797259,34136257,34267051,34366146,34488738,34904641,35104175,35454206,35912132,36214916,36716015,36805441,36929571,37364487,37463917,37604846,37745041,37922082,38734415,39953918,40166606,40232787,40289972,40767683,40976941,41612737,41720707,42125010,42142616,42354339,42514897,42994210,43542343,43726947,43854637,43963775,43995608,44059218,44618235,44651255,44672026,44933344,45182571,45238916,45846296,46312141,46481298,46917697,47410443,47476916,47592784,47896175,48134715,48288577,48349118,48512643,48618008,48882541,48952930,49262132,49410692,49495059,49557037,49707716,49976257,50067451,50143441,50550012,51343696,51577083,51593052,51635252,51642686,52451450,52460318,52664366,52756530,52860397,52966532,53426641,53541882,53581506,53682446,53788775,53989357,54241467,54695259,54696926,55025041,55139579,55577677,56048557,56062772,56273632,56308546,56513918,56715086,57063219,57317726,57411515,57475410,57530571,57752941,57761658,57982657,57990394,58743516,58998452,59317166,59422477,59601010,59653016,60020941,60311486,60467615,60540817,60568856,60614797,60889803,60983617,61307104,61319986,61420300,61526247,61638171,61642957,62459187,62486318,62650052,62941740,62985527,63307836,63619543,63665246,63817180,63959883,64010641,64502797,64546530,64573175,64831412,64921837,64927891,65139416,65889517,65958097,66036335,66095041,66510051,66669967,66775441,66860852,66963608,67109643,67137856,67170926,67557566,67915597,67982017,68139963,68488775,68562663,68642257,68739716,68849632,68893818,68904337,68970492,69021267,69290318,69695576,70886535,70900916,71188532,71201918,71461777,71514008,71521212,71524930,71630867,71773357,71962526,72341966,72343415,72561138,73183441,73281843,73378775,73484941,73687042,73704360,73922555,73963597,74237336,74356175,75140077,75256141,75334059,75530088,75612304,75917918,76117441,76513837,76570177,76580616,77093735,77129617,77240641,77455836,77487810,78407523,78617984,78711277,79047812,79242637,79243602,79291563,79560418,79609011,79757492,80283757,80360606,80440780,80453259,81544657,81594157,81639523,81938641,82016450,82036417,82168175,82186530,82187246,82233843,82305716,82569037,82633947,82653664,82843420,82917405,82937218,82998337,83375041,83457326,83517003,83931457,84139652,84219215,84900206,84971349,85063842,85144300,85797326,85829916,85840141,85870235,85976318,86053441,86153193,86249012,86445267,86765197,86812098,86877656,86950532,86970577,87496141,87599980,87665632,87935726,88054530,88396177,88445232,88467086,88707066,88969535,89050292,89147857,89227410,89404141,89512897,89594386,89692717,89764141,89995515,90005127,90199835,90228926,90724916,91066477,91104446,91167400,91197517,91364696,91391917,91835437,92116916,92324126,92474257,92512482,92592337,92754130,92825041,92985372,93053137,93109441,93191006,93193357,93451443,93867457,93924832,94054286,94124497,94374337,94504655,94544941,94664641,95125441,95169937,95175904,95242810,95599118,95722177,95995216,96151441,96207277,96388717,96528936,96549812,96570047,96647377,96690935,96810817,97027537,97072141,97173697,97379437,97663441,97720141,97737363,97742317,97828141,98092237,98133457,98273677,98337037,98371597,98417571,98418577,98419740,98468077,98514008,98521537,98527441,98540941,98558797,98565997,98578957,98585041,98601810,98623836,99181655,99412104,99500886,99526083,99829118,...,155068550038016615399475879593651521612690378861365911352002529975166537909432233654143515939969644641700264105993909445902203693310009210883385429865527976508682087850828470207803429450380396159728533699839748007460753291103720957675230181142347514939587467353684088812898788262016174305140221336182825438822066701663988466465027343365300295466753132088567682383520884655172839127175372767075559752397689659255599203138309740488342440009289871239798648517172602461357024185705745779340023278022708300303439542403298522834937642176480977994313534723820102216719860487616046184753387856119499636710973788153827928459060208078577370148581893995852010505721879327271133671821913790678376364365238189671364482380446867873178627950581152614344316199588988381252811162338308534303895880708349289003635300392614992641883474810776192013893567016882757594175703820436075159023493918227530874698841883671789893089951548862985710069310501359095026633831774678661541055053511980681398623475531028416769510596801762684032602003819541759028347209236980916321055779556466581944738922904856869282451522109179139210182309792617784390005866275593142746646398236736604960458481264928409602217431398573229690673647078901940888816203980307434233657458575226937778644249881600683658310636158342681381190069741846572414826689577461459510808987126055019836176971765219938466692798920228079911425172998607941072317996792127558288387117980408706890509673750831088099933634989340398549230780065232499709322665121073648079296337819832283348134621435953113671448264440604932895092603665585259071713404638900822596443900344689608170202672977228013095037937064326713960749981765334211428205710421750399935528292673878952858369998339620305593104235552628836099963271077333893581033314526062611025763878604365027406628633037722169719655862685791458696907205491911978008889588994279916162723338357018471823843846195002674209970730684788298006045706957902263402737283645924940939943839592869072385682664543733943798187740772744811199478536945096368349540433933421452129574396202881833690600910650767922906109500116942953028439499888932689671826318205056680854494041430070818070476996201629110086682941662088247186333372425878875139799002731870920237933924976493395121747265499062687952081533082173392239339565112137817379460828463649252536188257837275004264777459535315745555118843679942292415947906949347147752120521834753453623647056402903665072622899577263369666058877482405767334164895921086242294164221119535025907003372357408885357205383103475801243999435437099062531649588185685059719940428463691109459559055072036706550763038504757334158155953235610398871852928527902605876190835509197170354574599672975622281883151567118347434666640789355069988817810159826397243950610388973427946734584673610659431038108402592534527076936453059698317712441403766503463646796275648769750539976728204216863209257841626138945190225404161644651311921935700889428225249275105802146658062930628278833437551733243361640385197612929444335537413502392659496318058710798489180006988822993892793668161918785786383038006839876346516492949178068854055585540087101884034222542861855145420493089439846592569649793956}
19859 172278428857215282776808543227419444603763129251782130465070740753550289: {158824,178677,773877,1091365,1289665,1309638,1527757,1547598,1944614,2182510,2199909,2555877,2619012,2778020,3333624,3750327,3888836,3968600,4061665,4464675,4687149,4762320,4873998,5079808,5247265,5357610,5555480,5714784,5749869,6036865,6103677,6249915,6296718,6322261,6429132,6666576,7244238,7440375,7499898,7749229,7936400,8174509,8221989,8601446,8928450,9278229,9523680,9767809,9975265,10158592,10171765,10237117,10263134,10481077,10714140,11428416,11677870,11970318,12206118,12287780,12312349,12526645,12856968,13506145,13637377,13801297,13963957,14013444,14309318,14464089,14661620,14745336,15031974,15445837,15462145,15613549,15969278,16093028,16207374,16438645,16588503,16652641,17024065,17589070,17593944,17675149,18350877,18554574,18972865,19344061,19575277,19726374,19793187,19948510,20212094,20423829,20428878,21074317,21106884,21237889,21324277,21457389,21801477,22137518,22145349,22305070,22767438,22990040,23078638,23667061,23703524,23861469,23938212,24601765,25182145,25230477,25572189,25606148,25863795,26058116,26286757,26534965,26541709,26766084,26824574,26837389,27024932,27114145,27456949,27588048,27692965,27840206,27879949,28412197,28874420,29522118,29878004,29886289,30135061,30218574,30333477,30389365,30397249,30581665,31036554,31629214,31686069,31841958,32286661,32536974,32716717,33182077,33231558,33245137,33398941,33844645,34419265,34451534,34562989,34633124,34649304,35052429,35101729,35723109,36087238,36153997,36467238,36697998,36874789,37061877,37225880,37286965,37329598,37463492,37552510,37708477,37879141,38153089,38320820,38399509,38496157,38622145,38730477,38980467,39316676,40113656,40115509,40613574,40683781,40906465,41303118,41643686,41856565,41879115,42046465,42215732,42353869,42540757,43142629,44033709,44037709,44671056,44744358,44890165,44925734,45021909,45039877,45063012,45127863,45249541,45268645,45821528,45843086,45984984,46346574,46465606,47797021,49055701,49087758,49219669,49239428,49455589,49819316,49933749,50227878,50254938,50259477,50362465,50455758,50562776,51549219,51552061,51733107,51885877,52196389,52678270,52997749,53181309,53643716,53868198,54107317,54255997,54322374,54459901,54775069,54994510,55486177,56166680,56407269,56472452,56548645,56626117,56883123,56996989,57307870,57569989,58302596,58359037,58593157,58745624,58924549,59316518,59346145,59402926,59490980,59632837,59766526,59930877,60243428,60249909,60434958,60496897,60618469,60772510,60983629,61577665,61763365,61765237,61975064,62071549,62134645,62574757,62930414,62971309,63187515,63213924,63934621,64179620,64491315,64544065,64545958,64566766,64612609,64683524,64957669,65105534,65989957,65993412,66088827,66160766,66208165,66867061,66954277,67008039,67400016,67467349,67724509,67783726,67858374,68104597,68460769,68769444,68790736,69721947,70078465,70093189,70342040,71040661,71215374,71389176,71442008,72321956,72523677,72927012,73429395,73748065,73893198,74116038,74435317,74477377,74561574,74566270,74836501,75409318,75495229,75711070,75791134,75825018,76017949,76084292,76633880,76707428,76775375,76962061,77015544,77389578,77452878,77464029,77671249,78312565,78324688,78677175,78690477,78996549,79134795,79449798,79646989,79771475,79944109,79989517,80312823,80362334,80372259,80523669,81039265,81166261,81186404,81424270,81648097,82034996,82045389,82078886,82184228,82403329,82596949,83278916,83408078,83576065,83704510,83922320,83995814,84094158,84410448,84462819,84770877,84964189,85041601,85072629,85279844,85437637,85780717,85889998,85924645,85976589,86062040,86199757,86213115,86642487,86985591,87119470,87312934,87783886,88079521,88115274,88497678,88626145,88680068,88975749,88985665,89192126,89392510,89401515,89402078,89479524,89548261,89966437,90163597,90467229,90681109,90853284,91416884,91858424,91960656,91979979,92028356,92055997,92130450,92796670,93005089,93729477,93975078,94098349,94412610,94515380,94961754,95281886,95361616,95411269,95497869,95623789,95725770,96554149,96748184,96819795,96906277,97096294,97247118,97478557,97709124,97826269,97935374,98272480,98311477,98394049,98809765,99393397,99560197,99696865,...,232602825057024923099213819390477282419035568292048867028003794962749806864148350481215273909954466962550396158990864168853305539965013816325078144798291964763023131776242705311705144175570594239592800549759622011191129936655581436512845271713521272409381201030526133219348182393024261457710332004274238158233100052495982699697541015047950443200129698132851523575281326982759258690763059150613339628596534488883398804707464610732513660013934806859697972775758903692035536278558618669010034917034062450455159313604947784252406463264721466991470302085730153325079790731424069277130081784179249455066460682230741892688590312117866055222872840993778015758582818990906700507732870686017564546547857284507046723570670301809767941925871728921516474299383482571879216743507462801455843821062523933505452950588922488962825212216164288020840350525324136391263555730654112738535240877341296312048262825507684839634927323294478565103965752038642539950747662017992311582580267971022097935213296542625154265895202644026048903005729312638542520813855471374481583669334699872917108384357285303923677283163768708815273464688926676585008799413389714119969597355104907440687721897392614403326147097859844536010470618352911333224305970461151350486187862840406667966374822401025487465954237514022071785104612769858622240034366192189266213480689082529754265457647829907700039198380342119867137759497911911608476995188191337432580676970613060335764510626246632149900452484010597823846170097848749563983997681610472118944506729748425022201932153929670507172396660907399342638905498377888607570106958351233894665850517034412255304009465842019642556905596490070941124972648001317142308565632625599903292439010818429287554997509430458389656353328943254149944906616000840371549971789093916538645817906547541109942949556583254579483794028687188045360808237867967013334383491419874244085007535527707735765769292504011314956096027182447009068560436853395104105925468887411409915759389303608578523996815600915697281611159117216799217805417644552524310650900132178194361594304322750535901365976151884359164250175414429542659249833399034507739477307585021281741062145106227105715494302443665130024412493132370779500058638818312709698504097806380356900887464740092682620898248594031928122299623260088359009347668206726069191242695473878804282386755912506397166189302973618332678265519913438623921860424020721628180782752130180435470584604355497608934349365895054499088316223608651001247343881629363441246331679302538860505058536113328035808074655213701865999153155648593797474382278527589579910642695536664189338582608055059826144557757136001237233929853415598307779392791853908814286253263795755531861899509463433422824727350677521151999961184032604983226715239739595865925915583460141920101877010415989146557162603888801790615404679589547476568662105649755195470194413473154625809965092306325294813886762439208417785338106242466976967882903551334142337873912658703219987094395942418250156327599865042460577796419394166503306120253588989244477088066197733770010483234490839190502242878178679574557010259814519774739423767103281083378310130652826051333814292782718130739634159769888854474690934}
19860 172948525476380954034322742365278886930513013842548205668077071149424001: {138971,198530,238236,337331,376979,674594,812579,931211,1031836,1168259,1326131,1641491,1746184,1917011,1964457,1995659,2063464,2113571,2152859,2321397,2916921,2933212,2976059,3210611,3273765,3405851,3407836,3472525,3492016,3522899,3912539,3928518,4167030,4226714,4444832,4861045,4921859,4960750,5000436,5037971,5154011,5168474,5424491,5540291,5833254,5873282,5952900,6002771,6195131,6249532,6349760,6498664,6885971,6944350,7000859,7143480,7310997,7459691,7574219,7619712,7666492,7726811,7746434,8036415,8138236,8145779,8333220,8373899,8395624,8411891,8525819,8572176,8601731,8867171,8888768,9283499,9434651,9445077,9643698,9658984,9920500,9999864,10451579,10866357,10962652,11002274,11014019,11249847,11313251,11425331,11574659,11904600,12319379,12370972,12388994,12430811,12542171,12698240,12902169,12986891,13392675,13762379,14130419,14285520,14754251,15010451,15146882,15237888,15359725,15394701,15412259,15604514,15667451,15776699,15960424,16071210,16274824,16321859,16720499,16746074,16829051,17142624,17516805,17802779,17910611,17955477,18111194,18309177,18327025,18431670,18565082,18684592,18699179,19234619,19285452,19660448,19981211,20042632,20116285,20406251,20688971,20935931,21020166,21147299,21463977,21501314,21609832,21950882,21992430,22059899,22118004,22547961,22793051,23072282,23458592,23730491,23953917,24139542,24248771,24311061,24455579,24467836,24490019,24739432,24859034,25279931,25826939,25971074,25997459,26301832,26303891,26383605,26390916,26405891,26643611,26847059,26858114,27219299,27231772,27238504,27354419,27421931,27521882,27831861,28061699,28142512,28363739,28430771,28531259,28609852,28732019,28737550,29068636,29332571,29365859,29527132,29589561,29629405,29665091,29831051,29922765,30318141,30356584,30360779,30643317,31258754,31414091,31477274,31545179,31660326,31815292,31917616,32007685,32231291,32524259,32567714,32572645,32686739,33206277,33270011,33457605,33640636,33657419,33689651,33781165,33786299,33947219,34096252,34140059,34151157,34485060,34521434,34617957,34620899,34908539,34940459,35099449,35386499,35555286,35601794,35672411,35688112,35817434,35907318,36093025,36557771,36784064,36809579,37280339,37347505,37468139,37499411,37780499,38123171,38393882,38409222,38526899,38898371,39087174,39362824,39422651,39637859,39887234,40093837,40097699,40149126,40189451,40236861,40291432,40444636,40525259,40537398,41011979,41163659,41382072,41466419,41557091,41585282,41647691,41738219,41760309,41798531,42069539,42159731,42248092,42455944,42519779,42789059,42908531,42998051,43057691,43291405,43311630,43382632,43978019,44037131,44242429,44283177,44308744,44324954,44817006,45183419,45327861,45563881,45708371,45911819,45998891,46199072,46230731,46532350,46554831,46736572,46829365,47095571,47296331,47443821,47630812,47762937,47901025,48038579,48179989,48237491,48622984,48805461,48888299,48905882,48930664,49141811,49145845,49415836,49422731,49730819,49847337,49982171,50142070,50177219,51091451,51256739,51402421,51640636,51677301,51949686,51973956,52215179,52769665,52866731,52893779,53136851,53352371,53433059,53701499,54022571,54075971,54130857,54151432,54228181,54634739,54635354,54700857,54740771,54820211,55046997,55058099,55070824,55610651,55838820,55994397,56055371,56133611,56195238,56328765,56393891,56601539,57144179,57247139,57276910,57401339,57457754,57481230,57606491,57785579,58015259,58447331,58458914,58624571,58658714,58711612,58927499,58975014,59003051,59078531,59429819,59454851,59504891,59561408,59659144,60028379,60029212,60084016,60170484,60191894,60202091,60646979,60648794,60920361,60942131,60991211,61064771,61313312,61549285,61674971,61795432,61954677,62033282,62111219,62274145,62465529,62511757,62520851,62808611,63203470,63323598,63451859,64042259,64112771,64300451,64534331,64604339,64744139,64930091,64953299,64999691,65164957,65366234,65450344,65507891,65897939,65966531,65989379,66126299,66240179,66376571,66444659,66578332,66970504,67006584,67012636,67054645,67116537,67274344,67307354,67388601,67457339,67500674,67594518,67613411,68123459,68255819,68272514,68534102,68541611,68732292,68764629,68935091,68977476,69519861,69628211,69698409,69778739,69809282,70014491,70099979,70164011,70208350,70395589,70590565,70652531,70908412,70968851,71471219,71492051,71554499,71824264,71865659,72113291,72154451,72277739,72429832,72878245,73072091,73334171,73394459,73432030,73610882,73614899,73631637,73674851,73859142,73993379,74033051,74230931,74363725,74388659,74437441,74683019,74728974,74927834,75053291,75092099,75209692,75285659,75304285,75341817,75343571,75382407,75401411,75459179,75490082,75683637,75727811,75844164,76486691,76524299,76543091,77140211,77195771,77251259,77380451,77468830,77911499,78074939,78201611,78417851,78453779,78525539,78722219,79017405,79147979,79481771,79907836,80192219,80224525,80312171,80333212,80376121,80465574,80567891,80579944,80720459,80802297,80804939,80854405,80855531,81374099,81483561,81535366,81770291,81950339,81953882,81966659,82048139,82339811,82491765,82580891,82676819,82788371,83010299,83057651,83225474,83387099,83441414,83573771,83774699,83943659,84172499,84250020,84285232,84324059,84414611,84489851,84654661,84708678,84773939,85029794,85040411,85158011,85201979,85594451,85695251,85867139,85952651,85961805,85988420,86122811,86487539,86983619,87038099,87084686,87160211,87187259,87268211,87308579,87453894,87642179,87709274,87927550,87991216,87996851,88100819,88118436,88178459,88230059,88384091,88562339,88649077,88951451,88974777,88976291,89104389,89161571,89236470,89302510,89344052,89466371,89649789,89718539,89789939,89825531,89849219,89866688,90130979,90247019,90365142,90402445,90419579,90476699,90477832,90612971,90652437,90714419,91158765,91190171,91222811,91255379,91406411,91598291,91692592,91724771,91798019,91860491,91943339,92046179,92450869,92459459,92499059,92607299,92624282,92636651,92782331,92878451,92962596,92983259,93096491,93133979,93208571,93273419,93401939,93627539,93645371,93707531,93813179,93835394,93865571,93891659,94021019,94140131,94165451,94290971,94373651,94395621,94398299,94488059,94512371,94560779,94592891,94616891,94632851,94688459,94735811,94820886,94852931,94953832,95029019,95081771,95104259,95105365,95185568,95186099,95317931,95475539,95510819,95538899,95758931,95792350,95826011,95859251,95884285,95983739,96149411,96168179,96193091,96230219,96269430,96333851,96446939,96464531,96577154,96670019,96681131,96698236,96763451,96785099,96818937,96833339,96850149,96859859,96958811,96999611,97025286,97064819,97089539,97191179,97205411,97236016,97334771,97474931,97517051,97590851,97646459,97658301,97681379,97685219,97738139,97741859,97752971,97764011,97765082,97793099,97905860,97960091,97976051,97998059,98031851,98076371,98085059,98102219,98199131,98320811,98327171,98355899,98357891,98384939,98412179,98452019,98458211,98487251,98496659,98504411,98524264,98525939,98541899,98550611,98560379,98561219,98572139,98578331,98578979,98582699,98585579,98598659,98603051,98604899,98821384,98990118,99114074,99241149,99415432,99952514,...,348904237585537384648820729085715923628553352438073300542005692444124710296222525721822910864931700443825594238486296253279958309947520724487617217197437947144534697664364057967557716263355891359389200824639433016786694904983372154769267907570281908614071801545789199829022273589536392186565498006411357237349650078743974049546311522571925664800194547199277285362921990474138888036144588725920009442894801733325098207061196916098770490020902210289546959163638355538053304417837928003515052375551093675682738970407421676378609694897082200487205453128595229987619686097136103915695122676268874182599691023346112839032885468176799082834309261490667023637874228486360050761599306029026346819821785926760570085356005452714651912888807593382274711449075223857818825115261194202183765731593785900258179425883383733444237818324246432031260525787986204586895333595981169107802861316011944468072394238261527259452390984941717847655948628057963809926121493026988467373870401956533146902819944813937731398842803966039073354508593968957813781220783207061722375504002049809375662576535927955885515924745653063222910197033390014877513199120084571179954396032657361161031582846088921604989220646789766804015705927529366999836458955691727025729281794260610001949562233601538231198931356271033107677656919154787933360051549288283899320221033623794631398186471744861550058797570513179800706639246867867412715492782287006148871015455919590503646765939369948224850678726015896735769255146773124345975996522415708178416760094622637533302898230894505760758594991361099013958358247566832911355160437526850841998775775551618382956014198763029463835358394735106411687458972001975713462848448938399854938658516227643931332496264145687584484529993414881224917359924001260557324957683640874807968726859821311664914424334874881869225691043030782068041212356801950520001575237129811366127511303291561603648653938756016972434144040773670513602840655280092656158888203331117114873639083955412867785995223401373545922416738675825198826708126466828786465976350198267291542391456484125803852048964227826538746375263121644313988874750098551761609215961377531922611593217659340658573241453665497695036618739698556169250087958227469064547756146709570535351331197110139023931347372891047892183449434890132538514021502310089103786864043210818206423580133868759595749283954460427499017398279870157935882790636031082442271174128195270653205876906533246413401524048842581748632474335412976501871015822444045161869497518953808290757587804169992053712111982820552798998729733472890696211573417791384369865964043304996284007873912082589739216836635704001855850894780123397461669089187780863221429379895693633297792849264195150134237091026016281727999941776048907474840072859609393798888873375190212880152815515623983719835743905833202685923107019384321214852993158474632793205291620209731938714947638459487942220830143658812626678007159363700465451824355327001213506810868988054829980641593913627375234491399797563690866694629091249754959180380383483866715632099296600655015724851736258785753364317268019361835515389721779662109135650654921625067465195979239077000721439174077196109451239654833281712036401}
19861 173621210125286661465463196959626320203814202354447149395937998665366737: {19861,297795,317648,357354,1011891,1289795,1527911,1547754,1805531,2182730,2579330,2619276,3055514,3095196,3666515,3889228,4259795,4365020,4399818,5111754,5238024,5556040,5686331,5892777,6250545,6340071,6667248,6758279,7346171,7441125,7471763,7500654,7752711,7777672,7811915,7937200,8063891,8123330,8451611,8660903,8749881,8809923,8929350,9374298,9524640,9583115,9747996,10159616,10172795,10416525,10441451,10494530,10715220,10916963,11110960,11429568,11499738,11619651,12073730,12098411,12207354,12400625,12499830,12593436,12644522,12858264,13333152,13703315,13965371,14240471,14465547,14474531,14488476,14880750,14999796,15424979,15463715,15498458,15872800,15880931,16349018,16443978,16503411,16850651,17202892,17537303,17801099,17856900,18254171,18556458,18583491,18908603,19047360,19535618,19950530,20317184,20343530,20474234,20526268,20962154,21076451,21428280,21647003,22526003,22702571,22720323,22856832,22861163,23014103,23355740,23406771,23833691,23940636,24106815,24412236,24575560,24624698,24906011,25053290,25119111,25713936,26562011,27012290,27166791,27274754,27602594,27647505,27747131,27847623,27927914,27970163,28026888,28618636,28928178,29323240,29490672,29664263,30063948,30584795,30891674,30924290,31159943,31227098,31530249,31938556,32186056,32251971,32414748,32493611,32720039,32877290,32926323,32988645,33177006,33305282,33402323,33578051,34039715,34048130,34392203,34442471,34608423,34866851,35178140,35187888,35255003,35298791,35350298,35614163,35762315,35902103,36209313,36335795,36701754,36908915,37109148,37148951,37288551,37945730,37959803,38156963,38629223,38665211,38688122,38770151,38956611,39150554,39452748,39586374,39769115,39897020,40287171,40424188,40847658,40857756,41047751,41282823,41829803,42050795,42148634,42213768,42475778,42545111,42569003,42620315,42648554,42727451,42814331,42914778,43106325,43489559,43602954,44275036,44290698,44605091,44610140,45254123,45534876,45980080,46157276,46888131,47215911,47334122,47382503,47407048,47490489,47722938,47876424,48186971,48370199,48851571,49203530,49417259,50128583,50364290,50460954,50555795,51144378,51212296,51727590,51782151,51891131,51983459,52116232,52201751,52544603,52573514,52810115,53069930,53083418,53332929,53347451,53402691,53532168,53649148,53674778,53726151,53860977,54049864,54071003,54228290,54261491,54536051,54913898,55176096,55385930,55680412,55759898,56631851,56824394,56902631,57269051,57590823,57613833,57748840,58420715,58599191,58630761,58865051,59044236,59538515,59756008,59772578,59830851,60223689,60270122,60437148,60666954,60778730,60794498,60806097,60925163,61163330,61769795,62073108,62377923,62846231,62977703,62988311,63258428,63372138,63376103,63683916,63945011,64550795,64573322,64967445,65073948,65433434,65996711,66364154,66463116,66487431,66490274,66797882,67053383,67225509,67614179,67689290,68372951,68838530,68903068,68969771,69068651,69125978,69266248,69298608,69798525,70104858,70203458,70475171,70507451,70800203,71068091,71446218,72174476,72307994,72934476,73358823,73389515,73395996,73448819,73749578,74123754,74451760,74573930,74659196,74864339,74926984,75036515,75105020,75213105,75416954,75758282,76306178,76641640,76799018,76992314,77244290,77460954,77924529,77960934,77988131,78059603,78633352,78652871,79168103,79914131,79997639,80227312,80231018,80313491,80487251,81174599,81227148,81367562,81812930,81953031,82606236,83084603,83222915,83264891,83287372,83713130,83758230,83765795,84092930,84292857,84431464,84707738,85081514,85630931,85915365,86183099,86186631,86208731,86221845,86285258,86468711,86809043,86988503,87465059,87688371,87844331,87969011,87988071,88067418,88075418,88462521,88554503,88635515,89017223,89342112,89488716,89780330,89851468,89889803,89975699,90043818,90079754,90126024,90255726,90287841,90361691,90499082,90537290,90906539,90955163,90973191,91643056,91686172,91969968,92376083,92483171,92556203,92691431,92693148,92931212,93049923,94012115,94805205,94985397,95594042,95923763,98049351,98109851,98111402,98175516,98439338,98478856,98737991,98911178,99638632,99793403,99827171,99867498,99884795,...,465205650114049846198427638780954564838071136584097734056007589925499613728296700962430547819908933925100792317981728337706611079930027632650156289596583929526046263552485410623410288351141188479185601099519244022382259873311162873025690543427042544818762402061052266438696364786048522915420664008548476316466200104991965399395082030095900886400259396265703047150562653965518517381526118301226679257193068977766797609414929221465027320027869613719395945551517807384071072557117237338020069834068124900910318627209895568504812926529442933982940604171460306650159581462848138554260163568358498910132921364461483785377180624235732110445745681987556031517165637981813401015465741372035129093095714569014093447141340603619535883851743457843032948598766965143758433487014925602911687642125047867010905901177844977925650424432328576041680701050648272782527111461308225477070481754682592624096525651015369679269854646588957130207931504077285079901495324035984623165160535942044195870426593085250308531790405288052097806011458625277085041627710942748963167338669399745834216768714570607847354566327537417630546929377853353170017598826779428239939194710209814881375443794785228806652294195719689072020941236705822666448611940922302700972375725680813335932749644802050974931908475028044143570209225539717244480068732384378532426961378165059508530915295659815400078396760684239734275518995823823216953990376382674865161353941226120671529021252493264299800904968021195647692340195697499127967995363220944237889013459496850044403864307859341014344793321814798685277810996755777215140213916702467789331701034068824510608018931684039285113811192980141882249945296002634284617131265251199806584878021636858575109995018860916779312706657886508299889813232001680743099943578187833077291635813095082219885899113166509158967588057374376090721616475735934026668766982839748488170015071055415471531538585008022629912192054364894018137120873706790208211850937774822819831518778607217157047993631201831394563222318234433598435610835289105048621301800264356388723188608645501071802731952303768718328500350828859085318499666798069015478954615170042563482124290212454211430988604887330260048824986264741559000117277636625419397008195612760713801774929480185365241796497188063856244599246520176718018695336413452138382485390947757608564773511825012794332378605947236665356531039826877247843720848041443256361565504260360870941169208710995217868698731790108998176632447217302002494687763258726882492663358605077721010117072226656071616149310427403731998306311297187594948764557055179159821285391073328378677165216110119652289115514272002474467859706831196615558785583707817628572506527591511063723799018926866845649454701355042303999922368065209966453430479479191731851831166920283840203754020831978293114325207777603581230809359179094953137324211299510390940388826946309251619930184612650589627773524878416835570676212484933953935765807102668284675747825317406439974188791884836500312655199730084921155592838788333006612240507177978488954176132395467540020966468981678381004485756357359149114020519629039549478847534206562166756620261305652102667628585565436261479268319539777708949381868}
19862 174296492728769779916592210809880627854526176631174487855054822484547990: {277942,377017,397060,476472,536031,674662,753958,852217,1207861,1349188,1625158,1862422,2035177,2063672,2153077,2321631,2336518,2652262,3210937,3274095,3282982,3492368,3562261,3834022,3868995,3928914,3991318,4126928,4227142,4305718,4583271,4642794,4861535,5456275,5833842,5866424,5952118,6421222,6464761,6547530,6599727,6805463,6811702,6815672,6945050,6984032,7045798,7269397,7384057,7667631,7825078,7857036,8184661,8334060,8412757,8453428,8526697,8889664,9722090,9843718,9921500,10000872,10075942,10308022,10336948,10848982,11080582,11250981,11666508,11746564,11799637,11905800,12005542,12134761,12184995,12357817,12390262,12499064,12699520,12997328,13394025,13771942,13888700,14001718,14061447,14286960,14621994,14919382,15148438,15239424,15332984,15450361,15453622,15492868,15741795,16072830,16214677,16276472,16291558,16666440,16747798,16758457,16791248,16823782,17051638,17144352,17203462,17249607,17734342,17777536,18110595,18311031,18566998,18749745,18869302,18890154,18966783,19287396,19317968,19841000,19999728,20089717,20903158,21503615,21732714,21887161,21925304,22004548,22028038,22321125,22411861,22499694,22626502,22850662,23149318,23247687,23767657,23809200,24492661,24523527,24638758,24665967,24741944,24777988,24861622,25084342,25396480,25522261,25657835,25804338,25973782,26238697,26340757,26785350,27256057,27524758,27834687,28162799,28260838,28366837,28571040,29194675,29303427,29369077,29508502,29925795,30020902,30264937,30293764,30475776,30515295,30711351,30719450,30760117,30789402,30824518,31209028,31334902,31443231,31548661,31553398,31920848,32142420,32527861,32549648,32643718,33440998,33492148,33658102,33693397,34285248,34656757,34944361,35033610,35605558,35708137,35773295,35821222,35898361,35910954,36222388,36618354,36654050,36863340,36937047,37130164,37369184,37398358,37503637,37579935,38469238,38531257,38570904,38902777,39320896,39457897,39923195,39962422,40085264,40102261,40232570,40285717,40518435,40560361,40812502,40912131,41377942,41403891,41471161,41481167,41871862,41891871,42040332,42294598,42927954,43002628,43002997,43219664,43392267,43449577,43716661,43901764,43972675,43984860,44119798,44236008,44810759,45095922,45586102,45601703,45742777,45917161,46144564,46337511,46386435,46840647,46917184,47293631,47460982,47907834,48243157,48279084,48497542,48498361,48622122,48911158,48935672,48980038,49315935,49478864,49718068,49765509,49871275,49957923,50530235,50559862,50849017,51072195,51653878,51942148,51994918,52248661,52286507,52603664,52607782,52767210,52781832,52811782,52818937,52900117,53025447,53287222,53694118,53707957,53716228,53848223,54109177,54438598,54463544,54477008,54667861,54708838,54843862,55043764,55052631,55223017,55343795,55663722,55762675,56123398,56285024,56727478,56861542,56918595,56939987,57062518,57219704,57254137,57464038,57475100,57639157,57696595,58032183,58137272,58665142,58707637,58725831,58731718,58934761,59054264,59179122,59258810,59330182,59379561,59462197,59662102,59845530,60607967,60636282,60713168,60721558,60949717,61271487,61286634,62118997,62517508,62768617,62828182,62954548,63090358,63222951,63320652,63483577,63630584,63713667,63835232,63972831,64015370,64372167,64462582,64961557,65048518,65135428,65145290,65373478,65404431,65561111,65791861,65997817,66271417,66412554,66436047,66475861,66540022,66915210,67061435,67281272,67314838,67379302,67562330,67572598,67894438,68192504,68280118,68286697,68302314,68804183,68970120,69042868,69235914,69241798,69270037,69600515,69658837,69817078,69880918,70109161,70198898,70237177,70428661,70772998,70872937,71001183,71110572,71203588,71344822,71376224,71501497,71584407,71634868,71814636,72184597,72186050,72307861,72614761,73115542,73568128,73619158,73644757,73805295,73877531,74240917,74418361,74560678,74695010,74936278,74998822,75546435,75560998,75691431,76043257,76246342,76327477,76553557,76716567,76787764,76818444,77013131,77053798,77591385,77796742,78174348,78212437,78374761,78482617,78677423,78725648,78845302,78860271,79073035,79176661,79275718,79597717,79604895,79625127,79702261,79774468,80187674,80195398,80220661,80298252,80378902,80473722,80512167,80582864,80630197,80889272,81050518,81074796,81342435,81385657,81485161,81978361,82023958,82327318,82370847,82764144,82932838,83078895,83114182,83170564,83194787,83295382,83476438,83520618,83597062,83639847,83740597,84139078,84199957,84319462,84336361,84496184,84911888,84919957,85039558,85229161,85236591,85578118,85817062,85996102,86115382,86128835,86168999,86304661,86514361,86582810,86623260,86722261,86765264,87183803,87213877,87335161,87956038,88049257,88074262,88127161,88204777,88484858,88566354,88588537,88617488,88649908,89002357,89334457,89634012,89658867,90218095,90261097,90366838,90405183,90655722,90940777,91000431,91127762,91168095,91191747,91399417,91416742,91744995,91749877,91812661,91823638,91968361,91997782,92274361,92398144,92461462,92661397,93007861,93064597,93064700,93109662,93288661,93323995,93473144,93642937,93658730,93876503,93881077,93881275,94036597,94191142,94592662,94887642,95058207,95261624,95491861,95525874,95802050,95862517,96000361,96077158,96338617,96359978,96474982,96753337,96859983,96913897,97082197,97141237,97184761,97245968,97297657,97352377,97608697,97610922,97703161,97759861,97776598,97811764,97861328,97919161,97949077,97987957,98016361,98088937,98150151,98283622,98286037,98291690,98345977,98376757,98405737,98527417,98580661,98598517,98624761,98826791,98831672,98845462,99461638,99546231,99694674,99735411,99964342,...,697808475171074769297641458171431847257106704876146601084011384888249420592445051443645821729863400887651188476972592506559916619895041448975234434394875894289069395328728115935115432526711782718778401649278866033573389809966744309538535815140563817228143603091578399658044547179072784373130996012822714474699300157487948099092623045143851329600389094398554570725843980948277776072289177451840018885789603466650196414122393832197540980041804420579093918327276711076106608835675856007030104751102187351365477940814843352757219389794164400974410906257190459975239372194272207831390245352537748365199382046692225678065770936353598165668618522981334047275748456972720101523198612058052693639643571853521140170712010905429303825777615186764549422898150447715637650230522388404367531463187571800516358851766767466888475636648492864062521051575972409173790667191962338215605722632023888936144788476523054518904781969883435695311897256115927619852242986053976934747740803913066293805639889627875462797685607932078146709017187937915627562441566414123444751008004099618751325153071855911771031849491306126445820394066780029755026398240169142359908792065314722322063165692177843209978441293579533608031411855058733999672917911383454051458563588521220003899124467203076462397862712542066215355313838309575866720103098576567798640442067247589262796372943489723100117595141026359601413278493735734825430985564574012297742030911839181007293531878739896449701357452031793471538510293546248691951993044831416356833520189245275066605796461789011521517189982722198027916716495133665822710320875053701683997551551103236765912028397526058927670716789470212823374917944003951426925696897876799709877317032455287862664992528291375168969059986829762449834719848002521114649915367281749615937453719642623329828848669749763738451382086061564136082424713603901040003150474259622732255022606583123207297307877512033944868288081547341027205681310560185312317776406662234229747278167910825735571990446802747091844833477351650397653416252933657572931952700396534583084782912968251607704097928455653077492750526243288627977749500197103523218431922755063845223186435318681317146482907330995390073237479397112338500175916454938129095512293419141070702662394220278047862694745782095784366898869780265077028043004620178207573728086421636412847160267737519191498567908920854998034796559740315871765581272062164884542348256390541306411753813066492826803048097685163497264948670825953003742031644888090323738995037907616581515175608339984107424223965641105597997459466945781392423146835582768739731928086609992568015747824165179478433673271408003711701789560246794923338178375561726442858759791387266595585698528390300268474182052032563455999883552097814949680145719218787597777746750380425760305631031247967439671487811666405371846214038768642429705986316949265586410583240419463877429895276918975884441660287317625253356014318727400930903648710654002427013621737976109659961283187827254750468982799595127381733389258182499509918360760766967733431264198593201310031449703472517571506728634536038723671030779443559324218271301309843250134930391958478154001442878348154392218902479309666563424072802}
19863 174974383249459429877723309051372913464902219435263118154932718817116145: {39722,416913,496325,595590,635296,714708,1011993,1130937,1686485,1805713,2023782,2400761,2437737,2579590,2793633,3055822,3095508,3504777,3611062,3978393,4365460,4924473,5133121,5158660,5238552,5751033,5893371,5963713,5986977,6111028,6190392,6340713,6458577,6964191,7333030,7778456,7987057,8519590,8730040,8750763,8799636,8928177,9530053,9631833,9821295,10217553,10223508,10417575,10476048,10566785,10568697,10936681,11112080,11372662,11669857,11737617,11785554,12401875,12501090,12680142,12845657,12921185,13334496,13416361,13516558,14241913,14583135,14683205,14692342,14765577,14882250,14943526,15001308,15113913,15462033,15505422,15555344,15623830,15874400,16127782,16177417,16246660,16273473,16620873,16903222,17321806,17360875,17499762,17619846,17833493,17858700,18008313,18585393,18748596,18768373,19028761,19049280,19166230,19184641,19347977,19366085,19495992,20319232,20345590,20657913,20833050,20882902,20989060,21002577,21396233,21430440,21649201,21833926,21932991,21943361,22221920,22379073,22722657,22859136,22999476,23180433,23239302,23533877,24109245,24147460,24196822,24414708,24437337,24535577,24801250,24908533,24999660,25121697,25176121,25186872,25235673,25289044,25577457,25716528,25805193,26601513,26666304,27406630,27505685,27850497,27885593,27930742,28303953,28335231,28480942,28931094,28949062,28976952,29761500,29999592,30849958,30927430,30972485,30996916,31354737,31745600,31761862,32599071,32698036,32887956,33006822,33042057,33701302,33749541,33939753,34275993,34405784,34723977,35074606,35602198,35713800,35905241,36508342,36567673,36958137,37112916,37166982,37292433,37626513,37817206,37867205,38094720,38669137,38706507,38960673,39011285,39071236,39901060,40178025,40430297,40634368,40687060,40692017,40948468,41052536,41287137,41307761,41716753,41865185,41924308,42152902,42391257,42818713,42856560,43294006,44262753,44714617,45031353,45052006,45277985,45405142,45440646,45713664,45722326,45853697,45902261,46028206,46079175,46184103,46236777,46412705,46711480,46813542,47002353,47330097,47540657,47577121,47655601,47667382,47806697,47881272,48213630,48375097,48824472,48965577,48982561,49151120,49229633,49249396,49812022,49892501,50067241,50106580,50161497,50238222,50487153,50870113,51270473,51427872,51672481,51827857,52550415,53124022,53352853,53408337,53731833,53753285,53866431,54024580,54333582,54549508,54877205,54927531,54981075,55205188,55295010,55494262,55676761,55695246,55855828,55940326,56053776,56097537,56908393,57237272,57495161,57680705,57703857,57856356,57946097,58646480,58726321,58871113,58981344,59328526,59383217,59668441,59943633,60127896,60348855,60493961,60952057,61169590,61212881,61218753,61434997,61761377,61783348,61848580,62066913,62147585,62319886,62454196,62807793,63038657,63060498,63441897,63877112,64372112,64391931,64503942,64829496,64927685,64987222,65440078,65754580,65852646,65977290,66179697,66354012,66610564,66804646,66849761,67145285,67156102,67171817,67643883,68079430,68096260,68379153,68784406,68804705,68884942,69216846,69733702,70356280,70375776,70510006,70597582,70700596,70778113,71191473,71228326,71524630,71804206,71843875,71861751,72418626,72671590,72746313,72933183,73366737,73403508,73470057,73817830,73934161,74218296,74277857,74297902,74577102,75839793,75891460,75919606,76313926,77258446,77330422,77376244,77480817,77540302,77913222,77992377,77996113,78146885,78256181,78301108,78693185,78905496,78911673,79150815,79172748,79217673,79518661,79538230,79794040,79930833,80541177,80574342,80848376,80944337,81419285,81657897,81695316,81715512,81789001,82022897,82063257,82095502,82265793,82518041,82565646,83282177,83353921,83495583,83659606,84101590,84185097,84297268,84427536,84951556,85090222,85091217,85138006,85240630,85292313,85297108,85454902,85593777,85628662,85829556,86196057,86212650,86303585,86477713,86779073,86979118,87205908,87326593,87555593,87997713,88097577,88476037,88550072,88581396,88768683,88888215,88995273,89004485,89210182,89220280,89493153,89525621,89543585,89566697,89762137,89768295,90371113,90508246,90954423,91069752,91082337,91311797,91929951,91960160,92074961,92126761,92314552,92565601,92953393,93776262,94242273,94431822,94443973,94635537,94668244,94765006,94814096,94980978,95445876,95752848,95831417,95933617,95984705,96023055,96373942,96693873,96740398,97393493,97572777,97703142,97717935,98060217,98331761,98407060,98639237,98834518,99116561,99618831,99718085,99810033,...,1046712712756612153946462187257147770885660057314219901626017077332374130888667577165468732594795101331476782715458888759839874929842562173462851651592313841433604092993092173902673148790067674078167602473918299050360084714950116464307803722710845725842215404637367599487066820768609176559696494019234071712048950236231922148638934567715776994400583641597831856088765971422416664108433766177760028328684405199975294621183590748296311470062706630868640877490915066614159913253513784010545157126653281027048216911222265029135829084691246601461616359385785689962859058291408311747085368028806622547799073070038338517098656404530397248502927784472001070913622685459080152284797918087079040459465357780281710256068016358143955738666422780146824134347225671573456475345783582606551297194781357700774538277650151200332713454972739296093781577363958613760686000787943507323408583948035833404217182714784581778357172954825153542967845884173891429778364479080965402121611205869599440708459834441813194196528411898117220063525781906873441343662349621185167126512006149428126987729607783867656547774236959189668730591100170044632539597360253713539863188097972083483094748538266764814967661940369300412047117782588100999509376867075181077187845382781830005848686700804614693596794068813099323032970757464363800080154647864851697960663100871383894194559415234584650176392711539539402119917740603602238146478346861018446613046367758771510940297818109844674552036178047690207307765440319373037927989567247124535250280283867912599908694692683517282275784974083297041875074742700498734065481312580552525996327326654855148868042596289088391506075184205319235062376916005927140388545346815199564815975548682931793997488792437062753453589980244643674752079772003781671974873050922624423906180579463934994743273004624645607677073129092346204123637070405851560004725711389434098382533909874684810945961816268050917302432122321011540808521965840277968476664609993351344620917251866238603357985670204120637767250216027475596480124379400486359397929050594801874627174369452377411556146892683479616239125789364932941966624250295655284827647884132595767834779652978021975719724360996493085109856219095668507750263874682407193643268440128711606053993591330417071794042118673143676550348304670397615542064506930267311360592129632454619270740401606278787247851863381282497052194839610473807648371908093247326813522384585811959617630719599739240204572146527745245897423006238929505613047467332135485608492556861424872272763412509976161136335948461658396996189200418672088634720253374153109597892129914988852023621736247769217650509907112005567552684340370192385007267563342589664288139687080899893378547792585450402711273078048845183999825328146722424520218578828181396666620125570638640458446546871951159507231717499608057769321058152963644558979475423898379615874860629195816144842915378463826662490430976437880034021478091101396355473065981003640520432606964164489941924781740882125703474199392691072600083887273749264877541141150451600146896297889801965047174555208776357260092951804058085506546169165338986327406951964764875202395587937717231002164317522231588328353718964499845136109203}
19864 175654891687919362656504017930938635896586270449615102795826254844425831: {59583,218383,456343,555884,754034,794120,893385,952944,1072062,1349324,1405303,1507916,1704434,1996063,2231863,2415722,2698376,2702599,3035673,3250316,3289399,3724844,3869385,4070354,4127344,4306154,4583733,4643262,4673036,5304524,5416593,5456825,5502823,5734303,6080983,6421874,6448325,6548190,6565964,6806149,6984736,7124522,7638785,7668044,7737990,7804663,7857828,7982636,8253856,8375623,8454284,8603503,8611436,8944783,9166542,9285588,9512143,9723070,10866463,10912550,10999545,11667684,11732848,11904236,12544783,12779385,12842444,12929522,13095060,13100623,13199454,13433263,13610926,13623404,13631344,13890100,13968064,14091596,14206903,14538794,14768114,15335262,15650156,15714072,15743599,16369322,16397863,16668120,16825514,16906856,17053394,17058993,17678331,17779328,17914399,18022183,18751635,19020213,19444180,19687436,19843000,19949983,20001744,20151884,20274837,20308325,20481343,20616044,20673896,21538663,21697964,21749263,22038513,22161164,22274503,22323375,22415289,22501962,23258133,23333016,23435745,23493128,23599274,23735599,23811600,24011084,24191673,24269522,24369990,24715634,24780524,24998128,25182583,25354833,25399040,25982709,25994656,26236325,26249643,26429769,26717263,26788050,27427903,27543884,27731383,27777400,27933343,28003436,28122894,28436983,28573920,28749345,29243988,29338999,29438863,29838764,30105061,30184325,30296876,30478848,30518385,30665968,30900722,30907244,30985736,31224103,31249575,31324353,31421023,31483590,31611305,32145660,32303599,32429354,32552944,32583116,32750889,32888743,33332880,33495596,33516914,33582496,33647564,33761599,34103276,34243999,34288704,34406924,34499214,34858953,35298943,35468684,35555072,35920969,36155599,36221190,36295233,36622062,37006423,37133996,37201875,37499490,37738604,37780308,37933566,38574792,38635936,38746145,38968999,39431599,39682000,39892399,39999456,40179434,40872545,41109945,41627023,41806316,41808103,41896113,42619399,42721413,43007230,43067599,43396641,43423593,43465428,43774322,43850608,43869823,44009096,44047303,44056076,44642250,44823722,44999388,45253004,45369223,45701324,45718999,46274937,46298636,46391145,46495374,46934143,47535314,47618400,47642793,48305599,48390703,48839045,48985322,49047054,49277516,49331934,49483888,49510233,49555976,49574599,49723244,49876325,50077663,50082613,50168684,50551953,50792960,50858825,51044522,51158743,51185585,51315670,51608676,51947564,52405385,52477394,52611909,52681514,53203543,53365183,53403297,53570700,54088999,54512114,54762513,55049516,55156277,55597903,55669374,55750473,55892473,56147263,56325598,56521676,56725809,56733674,57142080,58389350,58606854,58738154,59017004,59444503,59519599,59851590,60041804,60529874,60563383,60587528,60637399,60951552,61006399,61030590,61079983,61422702,61438900,61520234,61561745,61578804,61649036,61811863,62418056,62633225,62669804,62886462,63004601,63097322,63106796,63229353,63638809,63841696,64284840,64316743,64527343,64941009,64946599,65016223,65055722,65099296,65287436,65983399,66733423,66881996,66984296,67316204,67340599,67386794,67530725,67578009,67941943,68008399,68107713,68160969,68186885,68273503,68570496,68583489,68603263,68734663,68931223,69006485,69042309,69313514,69523817,69819785,69888722,70067220,70220313,70607599,70742329,71176543,71211116,71302183,71416274,71501073,71546590,71615023,71642444,71796722,71821908,72173599,72320445,72444776,73236708,73308100,73726680,73874094,73993399,74052943,74260328,74526703,74718033,74738368,74796716,74820463,75007274,75112423,75159870,75357333,75748399,76545223,76601599,76938343,76938476,77062514,77141808,77216983,77229185,77310725,77481313,77805554,78067745,78259399,78475543,78641792,78797599,78915794,79686033,79846390,79924844,80170528,80204522,80368999,80465140,80571434,80775233,80827783,81036870,81120722,81430423,81500373,81625004,81628999,81678463,81824262,82120399,82193225,82363399,82755884,82807782,82942322,82942515,82962334,83034223,83081599,83241393,83263205,83542869,83743724,83783742,83910489,83968063,84059863,84080664,84288103,84514543,84589196,85120325,85215713,85358599,85532983,85855908,86005256,86005994,86439328,86784534,86899154,87213463,87433322,87803528,87945350,87969720,88205263,88239596,88375745,88436599,88472016,88589383,88992789,89003599,89188999,89225863,89518183,89621518,89734399,89877103,90191844,90298303,90742903,90910663,91142503,91172204,91203406,91240783,91467583,91485554,91754385,91834322,92289128,92489263,92666599,92675022,92772870,92812399,92927743,92982409,93126823,93479829,93676183,93681294,93834368,93886009,93913999,94069303,94196743,94322383,94421599,94446223,94587262,94590747,94664599,94864325,94921964,95218423,95240599,95458399,95751223,95791903,95815668,96486314,96558168,96631063,96715303,96720305,96755913,96995084,96996722,97109503,97240399,97244244,97341269,97378999,97440721,97445599,97480833,97497583,97796383,97822316,97871344,97876385,97960076,98068543,98160117,98188999,98232761,98336599,98393623,98399599,98433943,98475703,98485423,98499463,98627983,98631870,98638999,98644543,98778969,98957728,98965935,99436136,99531018,99742550,99915846,...,1395616950342149538595282916342863694514213409752293202168022769776498841184890102887291643459726801775302376953945185013119833239790082897950468868789751788578138790657456231870230865053423565437556803298557732067146779619933488619077071630281127634456287206183156799316089094358145568746261992025645428949398600314975896198185246090287702659200778188797109141451687961896555552144578354903680037771579206933300392828244787664395081960083608841158187836654553422152213217671351712014060209502204374702730955881629686705514438779588328801948821812514380919950478744388544415662780490705075496730398764093384451356131541872707196331337237045962668094551496913945440203046397224116105387279287143707042280341424021810858607651555230373529098845796300895431275300461044776808735062926375143601032717703533534933776951273296985728125042103151944818347581334383924676431211445264047777872289576953046109037809563939766871390623794512231855239704485972107953869495481607826132587611279779255750925595371215864156293418034375875831255124883132828246889502016008199237502650306143711823542063698982612252891640788133560059510052796480338284719817584130629444644126331384355686419956882587159067216062823710117467999345835822766908102917127177042440007798248934406152924795725425084132430710627676619151733440206197153135597280884134495178525592745886979446200235190282052719202826556987471469650861971129148024595484061823678362014587063757479792899402714904063586943077020587092497383903986089662832713667040378490550133211592923578023043034379965444396055833432990267331645420641750107403367995103102206473531824056795052117855341433578940425646749835888007902853851393795753599419754634064910575725329985056582750337938119973659524899669439696005042229299830734563499231874907439285246659657697339499527476902764172123128272164849427207802080006300948519245464510045213166246414594615755024067889736576163094682054411362621120370624635552813324468459494556335821651471143980893605494183689666954703300795306832505867315145863905400793069166169565825936503215408195856911306154985501052486577255955499000394207046436863845510127690446372870637362634292965814661990780146474958794224677000351832909876258191024586838282141405324788440556095725389491564191568733797739560530154056086009240356415147456172843272825694320535475038382997135817841709996069593119480631743531162544124329769084696512781082612823507626132985653606096195370326994529897341651906007484063289776180647477990075815233163030351216679968214848447931282211195994918933891562784846293671165537479463856173219985136031495648330358956867346542816007423403579120493589846676356751123452885717519582774533191171397056780600536948364104065126911999767104195629899360291438437575195555493500760851520611262062495934879342975623332810743692428077537284859411972633898531172821166480838927754859790553837951768883320574635250506712028637454801861807297421308004854027243475952219319922566375654509500937965599190254763466778516364999019836721521533935466862528397186402620062899406945035143013457269072077447342061558887118648436542602619686500269860783916956308002885756696308784437804958619333126848145604}
19865 176338028082791381955469938398496069671505037651629190802304124901712934: {79444,694855,833826,992650,1131051,1191180,1270592,1429416,1608093,1686655,1884895,2023986,2261874,2361079,2401003,2556651,2837263,3372970,3611426,3623583,4047564,4062895,4656055,4801522,4875474,5159180,5587266,5841295,6105531,6111644,6191016,6459231,6630655,6964893,7009554,7222124,7956786,8207455,8730920,8935663,9585055,9632811,9770767,9822285,9848946,9978295,10266242,10317320,10477104,10484251,10567855,10686783,10764295,11502066,11543983,11606985,11786742,11927426,11973954,12222056,12380784,12681426,12917154,13215271,13281103,13749813,13928382,14584605,14666060,14793499,14880295,15181231,15556912,15820999,15974114,16053055,16368825,17029255,17039180,17362625,17460080,17501526,17599272,17614495,17856354,18089659,18672343,19060106,19263666,19394283,19562695,19642590,19799181,19931551,20416389,20435106,20447016,20556487,20835150,20952096,21133570,21137394,21808191,21873362,21945583,22152171,22224160,22377883,22745324,22865791,23002893,23339714,23475234,23571108,23870839,24305225,24553983,24609295,24681871,24803750,25002180,25156903,25189855,25238271,25360284,25580091,25691314,25770055,25842370,25933063,26668992,26832722,27033116,27112519,27122455,27558619,27701455,28483826,28996591,29166270,29366410,29384684,29531154,29713519,29764500,29887052,29895367,30002616,30013855,30227826,30924066,30975655,31010844,31110688,31166251,31247660,31748800,32255564,32354834,32493320,32546946,32569399,33241746,33752943,33806444,33838447,34016719,34429855,34643612,34721750,34999524,35004295,35239692,35398911,35666986,35717400,35909371,36016626,36165019,36404283,36554985,36576367,37073451,37170786,37298455,37452943,37497192,37536746,37719931,37871095,38057522,38098560,38110279,38332460,38369282,38507959,38634055,38695954,38732170,38991984,40129387,40182075,40434391,40638464,40691180,40728895,41315826,41666100,41740303,41765804,41838271,41869495,41978120,42005154,42059455,42184341,42629095,42792466,42860880,43008655,43298402,43361479,43498363,43667852,43865982,43886722,43909759,44335855,44443840,44758146,45445314,45718272,45998952,46351083,46360866,46417495,46478604,46572367,46761691,47067754,47173255,47225385,47545471,48218490,48294920,48393644,48644031,48818263,48829416,48874674,49071154,49427263,49602500,49817066,49897567,49999320,50138731,50243394,50275371,50352242,50373744,50471346,50562199,50578088,50819323,51154914,51302527,51433056,51610386,51748821,52257895,53014087,53203026,53332608,54123883,54331785,54615799,54791707,54813260,54933093,55011370,55070095,55400719,55503031,55525807,55700994,55762207,55771186,55861484,55874359,56249235,56566255,56607906,56670462,56900349,56961884,57126655,57500983,57862188,57873295,57898124,57953904,58376923,58611259,59114743,59523000,59651119,59999184,60269151,60299803,60924523,61596895,61699916,61767631,61854860,61944970,61993832,62154055,62195899,62357047,62709474,62710855,63389179,63491200,63523724,63854983,64510845,64934455,64977787,65000527,65198142,65396072,65434459,65661483,65775912,66013644,66084114,66856603,66963375,67235583,67279663,67402604,67499082,67879506,68481751,68551986,68811568,68811895,69447954,69743061,70149212,70448491,70652095,71204396,71302971,71427600,71492863,71810482,72588247,73016684,73135346,73290907,73477983,73570581,73719799,73771255,73916274,73997901,74225832,74333964,74458219,74500231,74584866,75052255,75253026,75254599,75634412,75722383,75734410,76189440,76370191,76566783,76798625,76828087,76973505,77061295,77338274,77413014,77921346,78022570,78028267,78142472,78264127,78337255,78454279,78716091,78883495,79004263,79022271,79398607,79671367,79802120,80356050,80752987,80860594,81268736,81374120,81384034,81609295,81768171,81848743,81896936,82031323,82105072,82574274,82615522,83433506,83504061,83602495,83620399,83653159,83730370,83848616,84145255,84305804,84488397,84782514,84968719,85067527,85100511,85637426,85713120,86498479,86588012,87006619,87584025,87910281,88107231,88525506,89013895,89429234,89553055,89777385,89994223,90062706,90104012,90191239,90555970,90794811,90810284,90881292,90898759,91427328,91444652,91545885,91635125,91707394,91804522,91947547,92056412,92084443,92134053,92158350,92159839,92280351,92368206,92473554,92502223,92825410,93422960,93495895,93596599,93627084,93841339,94003399,94004706,94329693,94645983,94660194,95081314,95154242,95311202,95334764,95471359,95613394,95762544,95766031,96173095,96326587,96427260,96750194,96936151,97583583,97648944,97856251,97931154,97965122,98302240,98424391,98459266,98498792,98758363,99591019,99624044,99785002,99906055,...,2093425425513224307892924374514295541771320114628439803252034154664748261777335154330937465189590202662953565430917777519679749859685124346925703303184627682867208185986184347805346297580135348156335204947836598100720169429900232928615607445421691451684430809274735198974133641537218353119392988038468143424097900472463844297277869135431553988801167283195663712177531942844833328216867532355520056657368810399950589242367181496592622940125413261737281754981830133228319826507027568021090314253306562054096433822444530058271658169382493202923232718771571379925718116582816623494170736057613245095598146140076677034197312809060794497005855568944002141827245370918160304569595836174158080918930715560563420512136032716287911477332845560293648268694451343146912950691567165213102594389562715401549076555300302400665426909945478592187563154727917227521372001575887014646817167896071666808434365429569163556714345909650307085935691768347782859556728958161930804243222411739198881416919668883626388393056823796234440127051563813746882687324699242370334253024012298856253975459215567735313095548473918379337461182200340089265079194720507427079726376195944166966189497076533529629935323880738600824094235565176201999018753734150362154375690765563660011697373401609229387193588137626198646065941514928727600160309295729703395921326201742767788389118830469169300352785423079078804239835481207204476292956693722036893226092735517543021880595636219689349104072356095380414615530880638746075855979134494249070500560567735825199817389385367034564551569948166594083750149485400997468130962625161105051992654653309710297736085192578176783012150368410638470124753832011854280777090693630399129631951097365863587994977584874125506907179960489287349504159544007563343949746101845248847812361158927869989486546009249291215354146258184692408247274140811703120009451422778868196765067819749369621891923632536101834604864244642023081617043931680555936953329219986702689241834503732477206715971340408241275534500432054951192960248758800972718795858101189603749254348738904754823112293785366959232478251578729865883933248500591310569655295768265191535669559305956043951439448721992986170219712438191337015500527749364814387286536880257423212107987182660834143588084237346287353100696609340795231084129013860534622721184259264909238541480803212557574495703726762564994104389679220947615296743816186494653627044769171623919235261439199478480409144293055490491794846012477859011226094934664270971216985113722849744545526825019952322272671896923316793992378400837344177269440506748306219195784259829977704047243472495538435301019814224011135105368680740384770014535126685179328576279374161799786757095585170900805422546156097690367999650656293444849040437157656362793333240251141277280916893093743902319014463434999216115538642116305927289117958950847796759231749721258391632289685830756927653324980861952875760068042956182202792710946131962007281040865213928328979883849563481764251406948398785382145200167774547498529755082282300903200293792595779603930094349110417552714520185903608116171013092338330677972654813903929529750404791175875434462004328635044463176656707437928999690272218406}
19866 177023802510939303852004724542758313565528490393647313383990858145605646: {99305,119166,258089,436766,456389,912686,931493,1050089,1111768,1250739,1444889,1488975,1508068,1588240,1760153,1786770,1905888,2035589,2114213,2144124,2232089,2506853,2698648,2742053,2810606,2937833,3015832,3035979,3094313,3289733,3392811,3408868,3523973,3992126,4463726,4831444,5039513,5059455,5155589,5271593,5396752,5405198,5417139,5541989,6004613,6071346,6120089,6448975,6500632,6578798,7003013,7202283,7313211,7449688,7461989,7576553,7639555,7729193,7738770,7957913,8140708,8148293,8254688,8380899,8414489,8528453,8604389,8612308,8718233,8983589,9027655,9167466,9286373,9286524,9346072,9437573,10514331,10567493,10609048,10694299,10755113,10833186,10913650,11005646,11129753,11428889,11468606,11540933,11690213,11876633,11935179,12161966,12434693,12546089,12657413,12843748,12896650,13096380,13101989,13131928,13582313,13612298,13914053,13969472,14249044,14773419,15015173,15197993,15277570,15336088,15399363,15475980,15609326,15715656,15781673,15965272,16218089,16290713,16507712,16751246,16834373,16908568,17195813,17207006,17222872,17253099,17412293,17680113,17889566,17891139,17916293,17960931,18024089,18275333,18332575,18333084,18571176,18812393,19022139,19024286,19375731,19446140,19987589,20093993,20518889,20801513,20892573,20942633,21048389,21298975,21576089,21732926,21825100,21999090,22171973,22904873,23252633,23335368,23465696,23772773,23808472,23841989,23961171,24601253,25089566,25390889,25558770,25684888,25859044,26005913,26190120,26201246,26244389,26252289,26312453,26398908,26414489,26516453,26754089,26784531,26866526,27221852,27246808,27262688,27329573,27532133,27780200,27936128,28183192,28413806,28431655,28440089,28540613,28590159,28875173,28895499,29077588,29175593,29375513,29442089,29463885,29536228,29840873,30337733,30652659,30670524,30832793,31252725,31260389,31300312,31424489,31428144,31487198,31653893,31700355,31706091,32144153,32339753,32738644,32795726,32810043,32892389,33336240,33651028,33765353,33791395,33797573,33813712,33958553,34106788,34117986,34247813,35009571,35212851,35356662,35558656,35779589,35828798,36044366,36159653,36191273,36349253,36730855,37041989,37205625,37358815,37503270,37762073,37886873,38040426,38136089,38536971,38763555,38888360,38973413,39059575,39374872,39466853,39528389,39686000,39896933,39899966,39927593,40003488,40203173,40249083,40294889,40303768,40319455,40355993,40549674,40616650,40962686,41117093,41232088,41268713,41347792,41571353,41661989,41752553,41903333,42174233,42258055,42264389,42624293,42725739,43012889,43072553,43077326,43304515,43395928,43498526,43749405,43993253,44049615,44077026,44141033,44255827,44296731,44322328,44549006,44646750,44830578,45003924,45023513,45341739,45724313,45753413,45811589,46014953,46101989,46333733,46386099,46449413,46516266,46666032,46766873,46871490,46986256,47054633,47198548,47312933,47471198,47623200,47627753,47915575,48022168,48055493,48254489,48311273,48383346,48532251,48539044,48739980,48820419,48905573,49018373,49243589,49431268,49561048,49748453,49862619,49996256,50083589,50365166,50709666,50798080,50863975,50916389,51109673,51687173,51965418,51989312,52082625,52207255,52233893,52472650,52478873,52499286,52831589,52859538,52885733,53434526,53452313,53500479,53559833,53576100,54024939,54122213,54244603,54584815,54654533,54840089,54855806,54919493,55087768,55289093,55462766,55554800,55630889,55756179,55840553,55866686,56006872,56154089,56245788,56305119,56414489,56622233,56873966,57086283,57147840,57221563,57498690,57499433,57553923,57627653,57704489,57883493,58043931,58098255,58468889,58487976,58677998,58722089,58772633,58877726,59024873,59100389,59476889,59526953,59677528,60150053,60210122,60298853,60368650,60492055,60593752,60669593,60792773,60957696,60964889,61013993,61036770,61087589,61331936,61454489,61801444,61814488,61971472,61973739,62003125,62351813,62448206,62499150,62616473,62648706,62784389,62832293,62842046,62967180,63007731,63222610,63333353,63547013,64043033,64137113,64188699,64291320,64395173,64558889,64607198,64628933,64858708,64947603,64954853,64978073,65024489,65094053,65105888,65166232,65184691,65501778,65777486,65798973,65830083,65991833,66014693,66470213,66665760,66741989,66899993,66991192,67033828,67137219,67164992,67295128,67371653,67523198,67750889,68167971,68206552,68304389,68374663,68487998,68516575,68577408,68813848,68961989,68998428,69070889,69223013,69331433,69541299,69655493,69717906,69826855,69870533,70191593,70255589,70416907,70597886,70601631,70638053,70743833,70937368,70996889,71059973,71110144,71202355,71582873,71659819,71841938,71894213,72141989,72203753,72244889,72311198,72327735,72372655,72442380,72450089,72590466,73244124,73312011,73367539,73423913,73524293,73606731,73704473,73764389,74012846,74023193,74201573,74267992,74318563,74320133,74403750,74459983,74556389,74713253,74725599,74998980,75180773,75296933,75365091,75374213,75432089,75477208,75489893,75528363,75560616,75707019,75816089,75867132,75949733,76234793,76348313,76518053,76574489,76612073,76732371,76948889,77124895,77149584,77227589,77271872,77283113,77318575,77412389,77415579,77492290,77504489,77633093,77937998,77998373,78270233,78288293,78504389,78808553,78826373,78863198,79181093,79364000,79404655,79567589,79654889,79784798,79804539,79998912,80088389,80358868,80397413,80482793,80652953,80686889,80889833,81408773,81441989,81745090,82050713,82132133,82148393,82164511,82219890,82423589,82517055,82824089,83093573,83251013,83254046,83485673,83551491,83612632,83616206,83656779,83718533,83792226,84253255,84300389,84526889,84706793,84855833,84911859,85005693,85077893,85238798,85239593,85442826,85458533,85675673,85776389,85848089,85948133,86014460,86033573,86104553,86135198,86161193,86186443,86526233,86665193,86793282,86847186,86930856,87077273,87240089,87347993,87548644,87548933,87602213,87686515,87701216,87739646,87800873,88018192,88075973,88094606,88112152,88140953,88231589,88334693,88615589,88867589,88992389,89005495,89029673,89054489,89202713,89239589,89284500,89361989,89459333,89507813,89647444,89748293,89760233,89819813,89867333,89926553,89998776,90138089,90312389,90393113,90506008,90655589,90689513,90738446,90790853,91068953,91233413,91266089,91270855,91298693,91352873,91402648,91437998,91449893,91482089,91641989,91715993,91987433,92090393,92212889,92414489,92533913,92549874,92597272,92681573,92691353,92782290,92856389,92917455,92923673,92990748,93113753,93170153,93235589,93402053,93538793,93691589,93753833,93780389,93868286,93912089,93929513,93938213,94064211,94084889,94187033,94212389,94237673,94445573,94543015,94559813,94640453,94664489,94783589,95070628,95077253,95130089,95152613,95236800,95241091,95256773,95264153,95285586,95388389,95461639,95474693,95545733,95692313,95774489,95895593,95908889,95955173,96053033,96199589,96218393,96243353,96372293,96384389,96402473,96444389,96515333,96609079,96611198,96648089,96715673,96781406,96911513,96948389,96958853,97066793,97116953,97126889,97161413,97257893,97272089,97332773,97341989,97396613,97423493,97467653,97519589,97570373,97582889,97656473,97678090,97723589,97747699,97792133,97797213,97807013,97818089,97847273,97914533,97970644,98014853,98024489,98030873,98062313,98094108,98125733,98131589,98140313,98166053,98182853,98234153,98309273,98383589,98394089,98414489,98418473,98420453,98447333,98474393,98504489,98555032,98562089,98565893,98568389,98580389,98604953,98608793,98624489,98636933,98643173,98653673,98658713,98659013,98663868,98967776,99020466,99111952,99126171,99149198,99446488,99752650,...,3140138138269836461839386561771443312656980171942659704878051231997122392666002731496406197784385303994430348146376666279519624789527686520388554954776941524300812278979276521708019446370203022234502807421754897151080254144850349392923411168132537177526646213912102798461200462305827529679089482057702215136146850708695766445916803703147330983201750924793495568266297914267249992325301298533280084986053215599925883863550772244888934410188119892605922632472745199842479739760541352031635471379959843081144650733666795087407487254073739804384849078157357069888577174874224935241256104086419867643397219210115015551295969213591191745508783353416003212740868056377240456854393754261237121378396073340845130768204049074431867215999268340440472403041677014720369426037350747819653891584344073102323614832950453600998140364918217888281344732091875841282058002363830521970225751844107500212651548144353745335071518864475460628903537652521674289335093437242896206364833617608798322125379503325439582589585235694351660190577345720620324030987048863555501379536018448284380963188823351602969643322710877569006191773300510133897618792080761140619589564293916250449284245614800294444902985821107901236141353347764302998528130601225543231563536148345490017546060102413844080790382206439297969098912272393091400240463943594555093881989302614151682583678245703753950529178134618618206359753221810806714439435040583055339839139103276314532820893454329534023656108534143070621923296320958119113783968701741373605750840851603737799726084078050551846827354922249891125625224228101496202196443937741657577988981979964565446604127788867265174518225552615957705187130748017781421165636040445598694447926646048795381992466377311188260360769940733931024256239316011345015924619152767873271718541738391804984229819013873936823031219387277038612370911211217554680014177134168302295147601729624054432837885448804152751907296366963034622425565897520833905429993829980054033862751755598715810073957010612361913301750648082426789440373138201459078193787151784405623881523108357132234668440678050438848717377368094798825899872750886965854482943652397787303504338958934065927159173082989479255329568657287005523250791624047221580929805320386134818161980773991251215382126356019431029651044914011192846626193520790801934081776388897363857812221204818836361743555590143847491156584518831421422945115724279741980440567153757435878852892158799217720613716439583235737692269018716788516839142401996406456825477670584274616818290237529928483409007845384975190988567601256016265904160760122459328793676389744966556070865208743307652951529721336016702658053021110577155021802690027768992864419061242699680135643377756351208133819234146535551999475984440167273560655736484544189999860376711915921375339640615853478521695152498824173307963174458890933676938426271695138847624581887587448434528746135391479987471292929313640102064434273304189066419197943010921561297820892493469825774345222646377110422598178073217800251661821247794632623423451354800440688893669405895141523665626329071780278855412174256519638507496016958982220855894294625607186763813151693006492952566694764985061156893499535408327609}
19867 177712225087593457187840585499695065602637579141774211831740309225256462: {19867,158888,178749,655149,972797,1369029,1389710,1667652,1885085,1985300,2262102,2361317,2382360,2541184,2638853,2680155,2837549,2858832,3216186,3353129,3373310,3769790,4047972,4215909,4261085,4523748,4722158,4802006,5113302,5674526,5688053,5988189,6039305,6518477,6695589,6745940,7222852,7247166,8066333,8095128,8107797,8125790,8177813,9107019,9282917,9312110,9371549,9603044,9750948,9868197,10175885,10318360,10444613,10560329,10765385,10920269,11174532,11490437,11608155,11682590,12211062,12223288,12382032,12462377,12918462,13261310,13419077,13642889,13751199,13929786,13969613,14019108,14126669,14444248,14794997,15070013,15695849,15913572,16054685,16249779,16370475,16414910,16508469,17186213,17202909,17461840,17682293,17811305,17871326,18242949,19170110,19265622,19344975,19541534,19583189,19644570,19697892,19956590,20418447,20532484,20634640,20832413,20954208,20968502,21082853,21135710,21246473,21373566,21528590,22380149,22474277,22916355,23004132,23087966,23213970,23413989,23573484,23840957,23854852,23947908,24307675,24444112,24543257,24660293,24761568,25126869,25362852,25810509,25834308,25935689,26384069,26430542,26446589,26562206,26679173,26834349,27096617,27281375,27387773,27499626,27856764,28536429,29169210,29332120,29586998,29760590,30147293,30362462,30476357,31113824,31641998,31948228,32106110,32323805,32569277,32572697,32599389,32737650,32998635,33412469,34020173,34027315,34058510,34078360,34453013,34725250,34920160,34985513,35003052,35115977,35198544,35228990,35265797,35712708,36078077,36172133,36179318,36346985,36401093,36920285,37344686,37634349,37971437,38120212,38338155,38527332,38782037,38782697,38788566,39125390,39285180,39301869,39598362,39863102,39969317,40201577,40299789,40832778,40870212,40879469,40894032,40923305,41112974,41670300,41904192,42019397,42063785,42267140,42274788,42620709,42633485,42740477,43365917,43616382,43746724,43891166,44262569,44304342,44448320,44723669,44755766,45267869,45490648,45731582,46005786,46679428,46950468,47142216,47230797,47741678,48201797,48610450,48992477,49006013,49075613,49107966,49193589,49218590,49329449,49363742,49607500,50004360,50313806,50379710,50476542,50567333,50720568,50824469,51160182,51176979,51382628,51540110,51684740,51838349,51866126,51906893,52051469,52217837,53019533,53034993,53337984,53665444,53743197,54066232,54066549,54087677,54225038,54244910,54277973,54552677,55117238,55402910,55767869,56254905,56510693,56649053,56967652,57020453,57060639,57593357,57732173,57993182,58332540,58617293,58732820,58769368,58883237,58998185,59062308,59120729,59355173,59427038,59529000,59680733,59774104,59790734,59849949,60005232,60027710,60212117,60305909,60455652,60673805,60824511,60924975,61444029,61789085,61848132,61951310,61998389,62021688,62070197,62202197,62221376,62332502,62447813,62495320,63497600,63861449,63964589,64511128,64615989,64709668,64984493,64986640,65093892,65138798,65247789,65473577,66042557,66115539,66483492,66657533,66823509,66970125,67245867,67286549,67505886,67612888,67676894,68033438,68859710,68990909,69287224,69443500,69774399,69999048,70008590,70307235,70479384,70496777,70797822,71089757,71206797,71333972,71434800,71818742,72001709,72033252,72330038,72575019,72808566,73109970,73152734,73161053,73784069,74146902,74341572,74596910,74887373,74905886,74994384,75073492,75179597,75439862,75547749,75742190,76064499,76115044,76197120,76220558,76664920,76738564,77015918,77098133,77251805,77268110,77391908,77464340,77594333,77948127,77983968,78677093,78708975,78748929,79012349,79192757,79289307,79406669,79512329,79938749,79977317,80151789,80258774,80338073,80364150,80673293,80868782,81022613,81073385,81199613,81276928,81382360,81457790,82281317,82283709,82436777,82631652,83194149,83332200,83480606,83531608,83661653,83676542,83738990,83792285,83800029,83956240,84010308,84118910,84368682,84874373,85258190,85310949,85584932,85721760,86017310,86209373,86235653,86248035,86596804,86722958,86996726,87015677,87335704,87492053,87731964,87773444,87795197,87819518,87996077,88016997,88115273,88316589,88671710,88887680,89044469,89490089,89516292,89607593,90315183,90552975,90717917,90890628,90908237,90934253,91436544,91555155,91997904,92511749,92702166,92721732,92834990,92957208,93144734,93458093,93523382,93672309,93748725,93764693,93973059,94135508,94263069,94346510,94450770,94833915,95064413,95090942,95449997,95481053,96336653,96436980,96484757,96589840,96787288,96910797,96946109,97288062,97636526,97658832,97749348,98142308,98252667,98666229,98854526,98912933,99205000,99634132,99795134,99998640,...,4186850851026448615785848749028591083542640229256879606504068309329496523554670308661874930379180405325907130861835555039359499719370248693851406606369255365734416371972368695610692595160270696312670409895673196201440338859800465857231214890843382903368861618549470397948267283074436706238785976076936286848195800944927688594555738270863107977602334566391327424355063885689666656433735064711040113314737620799901178484734362993185245880250826523474563509963660266456639653014055136042180628506613124108192867644889060116543316338764986405846465437543142759851436233165633246988341472115226490191196292280153354068394625618121588994011711137888004283654490741836320609139191672348316161837861431121126841024272065432575822954665691120587296537388902686293825901383134330426205188779125430803098153110600604801330853819890957184375126309455834455042744003151774029293634335792143333616868730859138327113428691819300614171871383536695565719113457916323861608486444823478397762833839337767252776786113647592468880254103127627493765374649398484740668506048024597712507950918431135470626191096947836758674922364400680178530158389441014854159452752391888333932378994153067059259870647761477201648188471130352403998037507468300724308751381531127320023394746803218458774387176275252397292131883029857455200320618591459406791842652403485535576778237660938338600705570846158157608479670962414408952585913387444073786452185471035086043761191272439378698208144712190760829231061761277492151711958268988498141001121135471650399634778770734069129103139896333188167500298970801994936261925250322210103985309306619420595472170385156353566024300736821276940249507664023708561554181387260798259263902194731727175989955169748251013814359920978574699008319088015126687899492203690497695624722317855739978973092018498582430708292516369384816494548281623406240018902845557736393530135639498739243783847265072203669209728489284046163234087863361111873906658439973405378483669007464954413431942680816482551069000864109902385920497517601945437591716202379207498508697477809509646224587570733918464956503157459731767866497001182621139310591536530383071339118611912087902878897443985972340439424876382674031001055498729628774573073760514846424215974365321668287176168474692574706201393218681590462168258027721069245442368518529818477082961606425115148991407453525129988208779358441895230593487632372989307254089538343247838470522878398956960818288586110980983589692024955718022452189869328541942433970227445699489091053650039904644545343793846633587984756801674688354538881013496612438391568519659955408094486944991076870602039628448022270210737361480769540029070253370358657152558748323599573514191170341801610845092312195380735999301312586889698080874315312725586666480502282554561833786187487804638028926869998432231077284232611854578235917901695593518463499442516783264579371661513855306649961723905751520136085912364405585421892263924014562081730427856657959767699126963528502813896797570764290400335549094997059510164564601806400587585191559207860188698220835105429040371807216232342026184676661355945309627807859059500809582351750868924008657270088926353313414875857999380544436812}
19868 178403305966495726382361130497456884682237002980023849738711263945336788: {139027,198610,238332,516178,873532,912778,1326667,1825372,1862986,2084565,2100178,2153731,2223536,2481625,2501478,2889778,2977267,2977950,3016136,3176480,3393153,3520306,3563347,3573540,3811776,4071178,4228426,4288248,4464178,4824279,5013706,5059965,5310787,5397296,5484106,5621212,5654685,5875666,6031664,6071958,6188626,6579466,6581947,6785622,6817736,7047946,7083237,7156867,7203009,7386331,7669953,7729987,7984252,8187187,8432425,8511789,8529331,8927452,9028565,9438547,9662888,10079026,10118910,10311178,10543186,10695377,10793504,10810396,10834278,10870749,11083978,11579467,11915131,12003805,12009226,12138547,12142692,12188685,12240178,12638717,12695827,12897950,13001264,13157596,13915507,13968165,14006026,14404566,14626422,14899376,14923978,15016747,15153106,15279110,15458386,15477540,15915826,16281416,16296586,16328731,16509376,16761798,16828978,17056906,17208778,17224616,17436466,17523885,17967178,18055310,18316593,18334932,18572746,18573048,18692144,18875146,19028731,19377693,19891965,20894679,21028662,21134986,21218096,21388598,21510226,21666372,21827300,22011292,22259506,22857778,22937212,22942147,23081866,23380426,23753266,23870358,24323932,24603907,24622365,24869386,25092178,25314826,25665605,25687496,25793300,26192760,26203978,26263856,26349331,26806989,27061987,27164626,27224596,27366331,27828106,27938944,28498088,28677667,28755165,28878331,28898433,29312301,29466855,29546838,29818565,29934885,30030346,30175627,30374131,30395986,30555140,30672176,30798726,30869131,30951960,31218652,31431312,31452753,31559107,31563346,31657387,31703565,31930544,32060349,32292885,32436178,32581426,33015424,33502492,33668746,33801331,33817136,34391626,34414012,34445744,34506198,34631949,34820955,34824586,35360226,35529547,35779132,35782278,35832586,35921862,36005467,36048178,36195331,36550666,36665150,36666168,37142352,37624786,37797547,38044278,38048572,38264827,38751462,38892280,39645813,39804317,39843309,39932131,39935285,39975178,40187986,40207747,41037778,41249439,41485387,41576107,41603026,41785146,41885266,42096778,42479347,42597950,42928267,43152178,43465852,43650200,43753815,43998180,44175667,44343946,44380497,44640885,45543693,45758731,45809746,46020307,46505266,46670736,46801147,46931392,47307953,47462997,47545546,47616944,47650265,47661907,47683978,47922342,48159165,48600427,49024147,49106475,49202506,50179132,50781778,51087765,51115747,51117540,51369776,51423197,51718088,52011826,52087875,52103731,52267387,52302341,52380240,52402492,52488778,52504578,52624906,52797816,52828978,52833925,52843485,52919131,53032906,53508178,53566267,53569062,53733052,54268977,54443704,54493616,54525376,54659146,54683405,54687667,54767227,55064266,55560400,55872256,55873507,56017029,56366384,56447237,56732827,56827612,56863310,56880178,57081226,57180318,57275131,57660331,57750346,57790998,58155176,58182849,58349285,58351186,58688085,58751026,58884178,58927770,59032147,59072456,59161277,59397543,59681746,59794653,60157507,60626321,60675466,61249167,61305318,61341048,61665586,61669461,61997107,62009375,62505450,62520778,62600624,62648347,62848978,62856288,62974396,63079267,63307786,63400710,63412182,64074667,64228285,64288306,64605925,64679506,64986331,65424573,65477288,65591452,65620086,65784778,65817067,65836749,66023131,66456513,66501427,66672480,67081805,67133649,67245907,67302056,67530706,67581427,67582790,67595146,67627424,67917106,68213576,68235972,68495626,68511307,68597373,69008679,69232027,69362131,69686131,69815227,70019142,70136707,70200787,70425702,70713324,70774267,71117312,71209565,71559178,71592331,71612517,71657596,72088732,72319306,72382546,72698506,72915675,73090157,73416025,73461710,73661949,73827885,74045613,74083978,74330131,74411250,74717630,75006540,75326467,75470709,75524146,75569565,75714813,75773746,76080852,76272178,76418741,76740273,77036453,77073942,77310165,77527110,77776720,77799189,77946826,78119150,78190627,78299131,78407347,78461347,78569131,78701249,78749744,78837331,78933706,79056778,79209787,79262707,79372000,79793866,79799932,79855186,80006976,80305987,80406346,80498166,80589778,80607536,80638910,80711986,80887085,81099348,81233300,81337557,81367365,81915331,81925372,82062427,82160131,82234186,82464176,82537426,82675857,82695584,83104365,83142706,83219981,83323978,83497747,83505106,83806666,83823331,84348466,84516110,84528778,84688877,84734131,85248586,85266787,85310707,85451478,85485667,86025778,86145106,86154652,86385307,86553067,86609030,86678131,86791856,86804375,86989773,86997052,87090331,87374587,87414907,87498810,87695131,87831029,87986506,88099230,88154052,88167307,88282066,88283731,88511654,88593462,88644656,89098012,89140557,89167465,89293500,89661156,89686101,89774131,89845627,90007848,90041565,90047026,90233707,90303331,90476131,90683478,90816331,91448626,91506826,91623178,91856587,92012467,92029906,92203978,92318827,92349067,92558731,92647507,92667466,92706331,92772198,92898826,92926965,93032532,93194707,93332064,93498753,93533746,93742980,93841865,93953731,93972512,94109266,94397096,94625866,94656307,94942396,95143805,95246400,95255506,95280331,95562067,95604331,95646307,95831150,95923205,96044336,96069667,96110986,96260107,96425347,96508978,96622546,96738331,96739885,96766692,96830425,96853747,96981331,97064502,97078088,97103513,97178827,97208131,97251547,97445587,97479960,97640838,97674331,97708197,97757597,97811146,97813867,97825027,98036746,98080627,98117347,98204107,98327947,98389507,98439331,98487178,98505427,98534587,98573467,98657131,98673331,98678731,98683267,98862536,99122096,99496906,99683297,99725238,99992512,...,6280276276539672923678773123542886625313960343885319409756102463994244785332005462992812395568770607988860696292753332559039249579055373040777109909553883048601624557958553043416038892740406044469005614843509794302160508289700698785846822336265074355053292427824205596922400924611655059358178964115404430272293701417391532891833607406294661966403501849586991136532595828534499984650602597066560169972106431199851767727101544489777868820376239785211845264945490399684959479521082704063270942759919686162289301467333590174814974508147479608769698156314714139777154349748449870482512208172839735286794438420230031102591938427182383491017566706832006425481736112754480913708787508522474242756792146681690261536408098148863734431998536680880944806083354029440738852074701495639307783168688146204647229665900907201996280729836435776562689464183751682564116004727661043940451503688215000425303096288707490670143037728950921257807075305043348578670186874485792412729667235217596644250759006650879165179170471388703320381154691441240648061974097727111002759072036896568761926377646703205939286645421755138012383546601020267795237584161522281239179128587832500898568491229600588889805971642215802472282706695528605997056261202451086463127072296690980035092120204827688161580764412878595938197824544786182800480927887189110187763978605228303365167356491407507901058356269237236412719506443621613428878870081166110679678278206552629065641786908659068047312217068286141243846592641916238227567937403482747211501681703207475599452168156101103693654709844499782251250448456202992404392887875483315155977963959929130893208255577734530349036451105231915410374261496035562842331272080891197388895853292097590763984932754622376520721539881467862048512478632022690031849238305535746543437083476783609968459638027747873646062438774554077224741822422435109360028354268336604590295203459248108865675770897608305503814592733926069244851131795041667810859987659960108067725503511197431620147914021224723826603501296164853578880746276402918156387574303568811247763046216714264469336881356100877697434754736189597651799745501773931708965887304795574607008677917868131854318346165978958510659137314574011046501583248094443161859610640772269636323961547982502430764252712038862059302089828022385693252387041581603868163552777794727715624442409637672723487111180287694982313169037662842845890231448559483960881134307514871757705784317598435441227432879166471475384538037433577033678284803992812913650955341168549233636580475059856966818015690769950381977135202512032531808321520244918657587352779489933112141730417486615305903059442672033405316106042221154310043605380055537985728838122485399360271286755512702416267638468293071103998951968880334547121311472969088379999720753423831842750679281231706957043390304997648346615926348917781867353876852543390277695249163775174896869057492270782959974942585858627280204128868546608378132838395886021843122595641784986939651548690445292754220845196356146435600503323642495589265246846902709600881377787338811790283047331252658143560557710824348513039277014992033917964441711788589251214373527626303386012985905133389529970122313786999070816655218}
19869 179097055340045138691422870391558677220854883210136679564971249907544050: {39734,297915,317776,357498,774267,1091915,1310298,1369167,1945594,2281715,2639119,2738058,2779420,2794479,3150267,3335304,3353467,3710267,3752217,3770170,3970600,4334667,4466925,4524204,4722634,4764720,5082368,5277706,5280459,5360310,5675098,5717664,5965519,6106767,6342639,6432372,6696267,6706258,6746620,7026515,7520559,7539580,8095944,8226159,8431818,8455027,8522170,8813499,9047496,9107937,9282939,9444316,9532939,9604012,9869199,9980315,10178433,10226604,10571919,11075467,11159315,11349052,11376106,11673391,11976378,12078610,13036954,13391178,13491880,13512995,13928539,14246239,14445704,14494332,15071539,15118539,15178365,15466767,15814779,16132666,16190256,16215594,16251417,16251580,16355626,16446995,16625967,18013839,18214038,18360267,18565834,18624220,18743098,19206088,19346925,19501896,19736394,19852379,20310979,20351770,20636720,20889226,21009039,21120658,21530770,21606849,21840538,21939633,22349064,22385967,22476559,22711747,22729659,22918665,22980874,23187579,23216310,23246927,23365180,23873739,24127667,24422124,24444879,24446576,24764064,24916099,24924754,24935827,25142697,25243467,25585359,25813167,25836924,26154699,26449267,26522620,26838154,26950767,26977859,27082965,27284125,27285778,27430699,27502398,27514115,27859119,27859572,27939226,28038216,28253338,28312719,28426607,28671515,28888496,29589994,29901419,30140026,30404915,31391698,31542993,31702479,31827144,32082897,32109370,32241625,32265339,32303051,32499558,32740950,32829820,33016938,33389259,33912467,34030745,34286667,34372426,34405818,34622799,34923680,35070639,35364586,35622610,35628619,35629899,35742652,35805537,36404779,36485898,37304079,37398307,37638267,37727567,37918619,37972239,38193925,38340220,38531244,38689950,39023315,39083068,39166378,39289140,39305967,39395784,39913180,40205659,40746939,40836894,41064968,41269280,41664826,41742159,41878115,41908416,41937004,42165706,42271420,42492946,42605387,42747132,43017515,43057180,44320257,44723915,44760298,44948554,45045519,45253327,45593979,45832710,46008264,46175932,46198089,46427940,46827978,47146968,47345019,47560715,47638241,47681914,47709704,47895816,48389791,48577679,48615350,48654267,48872139,48888224,49086514,49320586,49523136,50253738,50503119,50725704,50885779,50977331,51587439,51621018,51668616,51688399,51759297,51871378,52236879,52768138,52861084,52893178,53040339,53124412,53358346,53369059,53668698,53673417,53748879,53882793,54072267,54193234,54332315,54562750,54775546,54802799,54825999,54997725,54999252,55514267,55713528,56437179,56516431,56925679,57066417,57072858,57292627,57738019,57815531,58127193,58338420,58664240,58889299,59173996,59521180,59686879,59962767,60281979,60294586,60512507,60724924,60952714,60970639,61556667,62004667,62103059,62227648,62404539,62677719,62723915,62827899,63145167,63283996,63839267,63896456,63896925,64212220,64645379,64647610,64728267,65138554,65145394,65198778,65475300,65503115,65909087,65997270,66515919,66824938,67166315,67501619,68040346,68054630,68117020,68139467,68156720,68714619,68753231,68906026,69450500,69757899,69840320,69971026,70006104,70231954,70397088,70457980,70531594,71034515,71318319,71425416,71525967,71883513,72027611,72156154,72344266,72358636,72693970,72802186,73803759,73840570,74689372,74874491,75268698,75942874,76172667,76240424,76676310,77001839,77054664,77564074,77565394,77577132,78017739,78250780,78570360,78603738,78717995,78733167,78756867,78937359,79196724,79243467,79520467,79549359,79726204,79938634,80262267,80353593,80403154,80599578,81665556,81689507,81740424,81758938,81788064,81846610,81988719,81989315,82225948,82596399,82597459,82686671,83307851,83340600,83808384,84038794,84127570,84534280,84549576,84882991,84943327,85241418,85266970,85294965,85320267,85480954,85621839,85770477,85824827,86504719,86625519,86686497,86731834,87232764,87493448,87526779,87782332,88126539,88326267,88391655,88503259,88525138,88608684,88896640,89447338,89511532,89522619,89553059,89571995,89789611,90110915,90535738,90981296,91013199,91463164,91957977,92011572,92103407,92154847,92413579,92498379,92982019,93052259,93358856,93490667,93758175,93781167,93900936,94273467,94284432,94461594,94473067,94961679,95101065,95118273,95483356,95787427,95963179,96403594,96432459,96603119,97019259,97220900,97423379,97984954,98012026,98151226,98215932,98387178,98430129,98437180,98658898,98677167,98727484,99215000,99443807,99611567,99749915,...,9420414414809509385518159685314329937970940515827979114634153695991367177998008194489218593353155911983291044439129998838558874368583059561165664864330824572902436836937829565124058339110609066703508422265264691453240762434551048178770233504397611532579938641736308395383601386917482589037268446173106645408440552126087299337750411109441992949605252774380486704798893742801749976975903895599840254958159646799777651590652316734666803230564359677817767897418235599527439219281624056094906414139879529243433952201000385262222461762221219413154547234472071209665731524622674805723768312259259602930191657630345046653887907640773575236526350060248009638222604169131721370563181262783711364135188220022535392304612147223295601647997805021321417209125031044161108278112052243458961674753032219306970844498851360802994421094754653664844034196275627523846174007091491565910677255532322500637954644433061236005214556593426381886710612957565022868005280311728688619094500852826394966376138509976318747768755707083054980571732037161860972092961146590666504138608055344853142889566470054808908929968132632707018575319901530401692856376242283421858768692881748751347852736844400883334708957463323703708424060043292908995584391803676629694690608445036470052638180307241532242371146619317893907296736817179274200721391830783665281645967907842455047751034737111261851587534403855854619079259665432420143318305121749166019517417309828943598462680362988602070968325602429211865769888962874357341351906105224120817252522554811213399178252234151655540482064766749673376875672684304488606589331813224972733966945939893696339812383366601795523554676657847873115561392244053344263496908121336796083343779938146386145977399131933564781082309822201793072768717948034035047773857458303619815155625215175414952689457041621810469093658161831115837112733633652664040042531402504906885442805188872163298513656346412458255721889100889103867276697692562501716289981489940162101588255266796147430221871031837085739905251944247280368321119414604377234581361455353216871644569325071396704005322034151316546152132104284396477699618252660897563448830957193361910513016876802197781477519248968437765988705971861016569752374872141664742789415961158404454485942321973753646146379068058293088953134742033578539878580562372405802245329166692091573436663614456509085230666770431542473469753556494264268835347172839225941321701461272307636558676476397653161841149318749707213076807056150365550517427205989219370476433011752823850454870712589785450227023536154925572965702803768048797712482280367377986381029169234899668212595626229922958854589164008050107974159063331731465065408070083306978593257183728099040406930133269053624401457702439606655998427953320501820681967209453632569999581130135747764126018921847560435565085457496472519923889523376672801030815278815085416542873745662762345303586238406174439962413878787940920306193302819912567199257593829032764683893462677480409477323035667939131331267794534219653400754985463743383897870270354064401322066681008217685424570996878987215340836566236522769558915522488050876946662567682883876821560291439455079019478857700084294955183470680498606224982827}
19870 179793483439443997940893574969002273837482379956857117527930448382486970: {59601,278054,337501,397220,476664,536247,575389,1032356,1747064,1825556,1965447,2114641,2585809,2653334,2918391,3407581,3474275,3650744,3725972,4107087,4169130,4200356,4307462,4447072,4963250,5002956,5655255,5736061,5779556,5954534,5955900,6032272,6082849,6198301,6352960,6786306,7040612,7083951,7126694,7147080,7623552,7807069,7916559,8040465,8142356,8433275,8456852,8512647,8576496,8606161,8720029,8928356,9061201,9288289,9424475,9515089,9648558,10027412,10059387,10119930,10621574,10794592,10968212,10982269,11242424,11309370,11751332,11805395,12005015,12063328,12143916,12377252,12639991,12647727,12660049,12783255,13158932,13163894,13571244,13635472,14095892,14166474,14186315,14313734,14406018,14772662,15201181,15339906,15459974,15967009,15968504,16294141,16374374,16805327,16864850,17023578,17058662,17064159,17271649,17854904,17964567,18027901,18057130,18117915,18350929,18877094,19325776,19423009,19555431,20086767,20158052,20237820,20314475,20593981,20622356,21086372,21390754,21545569,21587008,21620792,21668556,21741498,22167956,23158934,23280275,23743261,23830262,23847121,24007610,24018452,24198999,24277094,24285384,24323391,24377370,24480356,24533439,25277434,25293601,25391654,25795900,26002528,26011549,26315192,26318161,27321057,27538129,27831014,27848751,27936330,28012052,28114647,28546849,28809132,28948321,29206475,29248669,29252844,29448541,29548369,29604591,29798752,29847421,29847956,30033494,30306212,30527655,30558220,30916772,30955080,31234429,31333839,31680987,31831652,32296155,32562832,32593172,32657462,32704849,32760807,32899681,33018752,33153275,33523596,33657956,33966109,34113812,34351741,34417556,34449232,34471311,34640209,34824465,34872932,34928029,35047770,35406289,35931847,35934356,36110620,36633186,36669864,36735841,37018909,37113121,37145492,37146096,37384288,37387131,37750292,37957789,38057462,38755386,39074941,39537361,39783930,39997981,40257231,40365181,40928667,41037275,41187169,41253597,41641309,41745991,41789358,41822461,41908839,41912929,42057324,42269972,42380007,42436192,42777196,43020452,43082461,43332744,43654600,44022584,44062561,44151229,44384991,44519012,44593489,44678315,45210039,45715556,45822241,45874424,45884294,46163732,46170721,46518049,46760852,47087547,47123101,47467261,47506532,47740716,47925275,48164055,48322621,48407761,48647864,48749337,48853835,49111425,49207814,49244730,49525407,49592161,49738772,49760209,49891475,50179069,50184356,50596129,50629652,51176989,51331210,51374992,51558639,51586600,51608727,51754321,52385520,52407956,52421255,52527712,52698662,52839275,52898401,53046879,53433915,53465149,53613978,53626429,53821475,54028369,54123974,54329252,54449192,54728847,54732662,54985681,55656212,55854109,55877888,55909399,56636029,56996176,57355334,57510330,57719915,57756662,57796866,58034925,58624602,58749567,58787101,58933710,59093676,59541661,59637130,59869770,60060692,60351254,60660001,60748262,60791972,60807889,61029181,61102801,61110280,61255341,61344352,61597452,61738262,61835041,61903920,62415649,62437304,62497239,62848081,62862624,62905506,63118214,63126692,63248559,63314774,63349309,63407130,63739419,63861088,64120698,64341181,64411489,64585770,64872356,65041021,65110609,65162852,66030848,66076355,66145789,66282589,66405515,66710371,66826909,67004984,67140447,67337492,67422831,67602662,67634272,67768381,68034781,68167549,68695741,68749065,68783252,68828024,68891488,69012396,69088861,69263898,69544871,69641910,69649172,70060321,70241967,70635421,70698961,70720452,71059094,71518429,71522871,71558264,71564556,71643421,71665172,71843724,72010934,72096356,72202321,72264061,72390662,72510301,72923025,73101332,73330300,73332336,73543969,73629771,73664209,73967495,73980879,74082781,74284704,74379601,74401475,74733409,75201121,75249572,75317329,75380607,75595094,75779281,75836701,75906155,76008529,76088556,76097144,76529654,76556767,76576609,76633021,77025889,77304349,77431527,77502924,77525821,77691169,77784560,77807067,77965309,78883921,79043869,79104995,79152207,79291626,79339767,79608634,79686618,79864262,79870570,79950356,80037519,80265275,80375972,80415494,80503047,80709661,80862049,80912701,81289851,81465121,81688999,81713341,81844125,82075556,82106749,82163319,82447201,82498878,82736209,82970774,83117521,83152214,83206052,83306449,83447389,83570292,83770532,83912509,84096541,84193556,84551581,84910429,84958694,85146275,85176541,85195900,85241519,85609287,85614301,85856534,86304356,86552029,86718781,86813125,86931704,87300400,87507630,87932701,87996360,88072475,88351334,88361569,88629949,88687892,88760994,89044561,89081821,89267041,89281770,89303869,89559649,89595901,89776081,89847649,89918929,89919599,89954461,90441879,90448295,90547489,90819361,91087386,91284049,91381789,91429071,91517462,91619492,91923409,92040614,92444221,92563741,92886481,92972989,93001681,93010532,93010567,93200509,93284641,93341472,93361715,93450961,93587581,93602294,93828961,93862784,93914527,93960541,94268989,94493521,94567069,94615906,94712221,94925994,95091092,95109409,95222269,95233888,95266909,95289121,95300530,95311261,95323814,95367956,95592529,95821021,95844684,95941981,96001489,96307921,96318330,96418081,96490081,96647869,96913981,96945949,96971415,96993361,97161661,97176529,97200854,97307101,97370747,97377121,97563601,97700221,97707831,97718091,97798167,97813475,97850449,98048294,98067421,98105149,98168401,98212950,98219809,98244541,98276509,98314849,98351389,98386129,98405012,98431741,98456221,98496289,98542621,98547409,98606881,98637661,98643709,98657569,98676001,98683489,98686801,98693821,98704189,98995905,99657755,99693391,...,12560552553079345847357546247085773250627920687770638819512204927988489570664010925985624791137541215977721392585506665118078499158110746081554219819107766097203249115917106086832077785480812088938011229687019588604321016579401397571693644672530148710106584855648411193844801849223310118716357928230808860544587402834783065783667214812589323932807003699173982273065191657068999969301205194133120339944212862399703535454203088979555737640752479570423690529890980799369918959042165408126541885519839372324578602934667180349629949016294959217539396312629428279554308699496899740965024416345679470573588876840460062205183876854364766982035133413664012850963472225508961827417575017044948485513584293363380523072816196297727468863997073361761889612166708058881477704149402991278615566337376292409294459331801814403992561459672871553125378928367503365128232009455322087880903007376430000850606192577414981340286075457901842515614150610086697157340373748971584825459334470435193288501518013301758330358340942777406640762309382882481296123948195454222005518144073793137523852755293406411878573290843510276024767093202040535590475168323044562478358257175665001797136982459201177779611943284431604944565413391057211994112522404902172926254144593381960070184240409655376323161528825757191876395649089572365600961855774378220375527957210456606730334712982815015802116712538474472825439012887243226857757740162332221359356556413105258131283573817318136094624434136572282487693185283832476455135874806965494423003363406414951198904336312202207387309419688999564502500896912405984808785775750966630311955927919858261786416511155469060698072902210463830820748522992071125684662544161782394777791706584195181527969865509244753041443079762935724097024957264045380063698476611071493086874166953567219936919276055495747292124877549108154449483644844870218720056708536673209180590406918496217731351541795216611007629185467852138489702263590083335621719975319920216135451007022394863240295828042449447653207002592329707157761492552805836312775148607137622495526092433428528938673762712201755394869509472379195303599491003547863417931774609591149214017355835736263708636692331957917021318274629148022093003166496188886323719221281544539272647923095965004861528505424077724118604179656044771386504774083163207736327105555589455431248884819275345446974222360575389964626338075325685691780462897118967921762268615029743515411568635196870882454865758332942950769076074867154067356569607985625827301910682337098467273160950119713933636031381539900763954270405024065063616643040489837315174705558979866224283460834973230611806118885344066810632212084442308620087210760111075971457676244970798720542573511025404832535276936586142207997903937760669094242622945938176759999441506847663685501358562463413914086780609995296693231852697835563734707753705086780555390498327550349793738114984541565919949885171717254560408257737093216756265676791772043686245191283569973879303097380890585508441690392712292871201006647284991178530493693805419201762755574677623580566094662505316287121115421648697026078554029984067835928883423577178502428747055252606772025971810266779059940244627573998141633310436}
19871 180492600534844566771615063400256319695814341756352043727745731830950677: {79468,417081,496525,595830,635552,714996,1290445,1528681,1548534,2183830,2281945,2620596,2738334,3194401,3710641,3891188,3980001,4146769,4384861,4563430,4657465,5250445,5278238,5476116,5558840,5588958,6253695,6300534,6461193,6670608,6706934,7224445,7420534,7444875,7504434,7540340,7941200,8669334,8800765,8931801,8933850,8938369,9048408,9445268,9529440,9837121,10164736,10177945,10179459,10243321,10555412,10560918,10571065,10690041,10720620,11160445,11350196,11435328,11931038,12213534,12534265,12685278,12850849,12864744,13219273,13392534,13412516,13493240,13710265,13809661,13972441,14053030,14472837,14587441,14689165,15041118,15079160,15179895,15471565,15623041,15932361,16191888,16448665,16452318,16662733,16863636,16910054,16964055,17044340,17619865,17626998,17840701,18056401,18094992,18215874,18565878,18888632,18918193,19065878,19208024,19738398,19745841,19960630,20356866,20453208,20525341,21087121,21143838,21249711,21404881,21470601,21609027,21952249,22150934,22158993,22187953,22318630,22698104,22752212,23009859,23025793,23189961,23249281,23346782,23543389,23681449,23952756,24157220,24561561,25197565,25297275,25535367,25587993,25777945,26073908,26357965,26782356,26983760,27025990,27085695,27473641,27709945,27857078,28315641,28492478,28838401,28891408,28988664,30023065,30025981,30143078,30237078,30356730,30600445,30933534,31629558,32086131,32244875,32265332,32295841,32380512,32431188,32502834,32503160,32612247,32711252,32736649,32893990,33251934,33419233,33595081,33915901,34584001,34738401,35015065,35316721,35745393,36011415,36027678,36415641,36428076,36566055,36720534,37131668,37248440,37309945,37464361,37486196,37882765,37902169,37916151,38087481,38176333,38197775,38412176,38519761,38645965,38693850,38751889,39003792,39472788,39704758,39789565,40140121,40446673,40621958,40703540,40741465,41273440,41746521,41778452,41904495,42018078,42072445,42241316,42379633,42566881,42590593,42642265,42975421,43021945,43037929,43061540,43213698,43591165,43681076,43687393,43879266,44064481,44698128,44771934,44917945,44953118,45050241,45138275,45277033,45423494,45459318,45837330,45920893,45961748,46375158,46431865,46432620,46493854,46730360,47187865,47559913,47643043,47747478,48255334,48844248,48889758,48893152,48986193,49485673,49528128,49832198,49849508,49871654,50285394,50351821,50486934,50982493,51170718,51626334,51673848,51917401,52309398,52571293,52571655,52837465,52898534,53045240,53471495,53676308,53775565,53901534,53955718,54140449,54165930,54288961,54493009,54568250,54571556,54632641,54861398,54949779,55004796,55028230,55417681,55648765,55718238,55719144,55878452,55891393,56076432,56506676,56625438,56660521,56694121,56853214,57086193,57144445,57343030,57518449,57704665,57776992,57881821,58133079,58451065,58629361,58960393,59179988,59383165,59407321,59669401,59675895,59802838,60224521,60280052,60655321,60809830,60943201,61786393,61802809,62173465,62613481,62684037,62730445,62783396,63009673,63085986,63287065,63404958,63654288,63973489,64165794,64218740,64483250,64507741,64530678,64606102,64999116,65481900,65509945,65659640,65915761,66030481,66033876,66585001,66778518,67508473,67765681,67824934,67911565,68061490,68146441,68407681,68573334,68744852,68760193,68811636,68826441,69103681,69245598,69570265,69847360,70135801,70141278,70729172,71083849,71245220,71257238,71259798,71349769,71485304,71514781,71611074,72809558,72971796,73811721,73867095,74608158,74796614,75075865,75276534,75455134,75541153,75594721,75745681,75837238,75944478,75989965,76065241,76387850,76680440,76996815,77009449,77062488,77379900,78046630,78099193,78166136,78332756,78578280,78611934,78791568,78908365,79047993,79826360,80038249,80411318,80420967,80528461,81090445,81185961,81453565,81493878,81673788,82056601,82098993,82129936,82538560,82647193,83307121,83316409,83329652,83484318,83646001,83756230,83816832,83874008,84171865,84331412,84542840,84985892,84994921,85015873,85210774,85489609,85494264,85619293,85674361,85979065,86033001,86035030,86114360,86265495,86634993,86695299,87061465,87813481,87936903,88400565,88640514,89447830,89455695,89520596,89581465,89603569,89804655,89897108,89935393,90091038,90120445,90218881,90506654,90526881,91122393,91187958,91348861,91376665,91662875,91665420,91704361,92016528,92112889,92188093,92351864,92396178,92530801,92607393,92855880,93655956,93784009,94032841,94061965,94156081,94293936,94358259,94619041,94677321,94690038,94972161,95110695,95121430,95276482,95363828,95419408,95791632,96181047,96779582,96878655,97155358,97230700,97308534,97538881,97744278,97776448,98173028,98454733,98641172,99046272,99156793,99448321,99844093,99877801,99937945,...,18840828829619018771036319370628659875941881031655958229268307391982734355996016388978437186706311823966582088878259997677117748737166119122331329728661649145804873673875659130248116678221218133407016844530529382906481524869102096357540467008795223065159877283472616790767202773834965178074536892346213290816881104252174598675500822218883985899210505548760973409597787485603499953951807791199680509916319293599555303181304633469333606461128719355635535794836471199054878438563248112189812828279759058486867904402000770524444923524442438826309094468944142419331463049245349611447536624518519205860383315260690093307775815281547150473052700120496019276445208338263442741126362525567422728270376440045070784609224294446591203295995610042642834418250062088322216556224104486917923349506064438613941688997702721605988842189509307329688068392551255047692348014182983131821354511064645001275909288866122472010429113186852763773421225915130045736010560623457377238189001705652789932752277019952637495537511414166109961143464074323721944185922293181333008277216110689706285779132940109617817859936265265414037150639803060803385712752484566843717537385763497502695705473688801766669417914926647407416848120086585817991168783607353259389381216890072940105276360614483064484742293238635787814593473634358548401442783661567330563291935815684910095502069474222523703175068807711709238158519330864840286636610243498332039034834619657887196925360725977204141936651204858423731539777925748714682703812210448241634505045109622426798356504468303311080964129533499346753751345368608977213178663626449945467933891879787392679624766733203591047109353315695746231122784488106688526993816242673592166687559876292772291954798263867129562164619644403586145537435896068070095547714916607239630311250430350829905378914083243620938187316323662231674225467267305328080085062805009813770885610377744326597027312692824916511443778201778207734553395385125003432579962979880324203176510533592294860443742063674171479810503888494560736642238829208754469162722910706433743289138650142793408010644068302633092304264208568792955399236505321795126897661914386723821026033753604395562955038497936875531977411943722033139504749744283329485578831922316808908971884643947507292292758136116586177906269484067157079757161124744811604490658333384183146873327228913018170461333540863084946939507112988528537670694345678451882643402922544615273117352952795306323682298637499414426153614112300731101034854411978438740952866023505647700909741425179570900454047072309851145931405607536097595424964560734755972762058338469799336425191252459845917709178328016100215948318126663462930130816140166613957186514367456198080813860266538107248802915404879213311996855906641003641363934418907265139999162260271495528252037843695120871130170914992945039847779046753345602061630557630170833085747491325524690607172476812348879924827757575881840612386605639825134398515187658065529367786925354960818954646071335878262662535589068439306801509970927486767795740540708128802644133362016435370849141993757974430681673132473045539117831044976101753893325135365767753643120582878910158038957715400168589910366941360997212449965654}
19872 181194416935496299440034975796203512695902221930474595526183149988693014: {99335,119202,218471,377207,556108,575447,615071,675002,794440,893745,953328,1050407,1072494,1150778,1168967,1405871,1563647,2064712,2154167,2232767,2322801,3212567,3275745,3407927,3494128,3651112,3759071,3930894,4107501,4148471,4229282,4863985,5157167,5171618,5273207,5306668,5836782,6121967,6468071,6815162,6845145,6948550,7301488,7451944,7464287,7578887,7807871,7917357,7960367,8214174,8338260,8379071,8383437,8400712,8531087,8607047,8614924,8720927,8894144,9425425,9450801,9516071,9667127,9926500,10005912,10060401,10870967,11020871,11130801,11256651,11310510,11472122,11544527,11559112,11805767,11806585,11909068,11911800,12064544,12165698,12327071,12396602,12550007,12661367,12698471,12705920,13004001,13194265,13254071,13400775,13572612,13586567,14028887,14081224,14167902,14187745,14253388,14294160,14359871,15247104,15614138,15640871,15833118,15841377,16080930,16284712,16332167,16404767,16527553,16765645,16807021,16866550,16913704,17025294,17152992,17212322,17440058,17856712,17896557,18029807,18122402,18320301,18576578,18848950,19027917,19030178,19104167,19297116,19460687,19860841,20054824,20088801,20100407,20118774,20239860,21055127,21079545,21160847,21243148,21305425,21583007,21589184,21898871,21936424,21964538,22074071,22284047,22423871,22484848,22561677,22618740,23502664,23610790,23780447,23953487,24010030,24126656,24287832,24471407,24678477,24754504,25279982,25295454,25320098,25365081,25566510,26317864,26327788,26355047,26423087,26440497,26525087,26864567,27067871,27142488,27270944,27323811,27439847,27848817,28080071,28191784,28281647,28332948,28372630,28440265,28549967,28598817,28627468,28750871,28812036,28951487,29545324,29551607,29584871,29607597,29940945,30196525,30402362,30535299,30679812,30919948,31270727,31566071,31715757,31762607,31934018,31937008,32252687,32588282,32592385,32708471,32748748,32903327,33033071,33226401,33477945,33610654,33729700,34047156,34117324,34128318,34162871,34355567,34543298,34676087,34931927,34963871,35020173,35709808,35929134,36055802,36114260,36235830,36701858,37023071,37054487,37148687,37493471,37754188,37993247,38651552,38846018,38924807,39079367,39110862,40002527,40173534,40308647,40316104,40331665,40475640,40538985,40628950,40889065,40918487,41187962,41244712,41646071,41676287,41766887,41785617,42172744,42278927,42549071,42738717,42781508,43091138,43174016,43241584,43337112,43482996,43741871,43890071,44008487,44185871,44335912,44598647,45214617,45355617,45390287,45535095,45827567,46118087,46205087,46317868,46400301,46414585,46552367,46560550,46857745,47071127,47444337,47486522,47660524,47694242,48015220,48036904,48072407,48397998,48413447,48526871,48554188,48570768,48646782,48668471,48754251,48754740,48922847,48960712,49066878,49340985,49345367,49877901,50185007,50212871,50554868,50587202,50629871,50783308,50879425,51183071,51293327,51458471,51591800,52005056,52023098,52116167,52223065,52630384,52636322,52801645,52931807,53094071,53632871,53826925,54041517,54061607,54601345,54642114,54674327,54939407,55076258,55080801,55256447,55662028,55697502,55872660,55887071,56024104,56229294,56798471,57093698,57186071,57443471,57452185,57618264,57725687,57802487,57896642,58040775,58210871,58412950,58497338,58505688,58870127,58897082,59096738,59122247,59209182,59557137,59597504,59694842,59695912,60066988,60246887,60593471,60612424,60692207,60932937,61055310,61110407,61116440,61833544,61910160,62061071,62311885,62468858,62549641,62667678,63027117,63361974,63642167,63663304,64067327,64592310,64653527,64793471,64820547,65049287,65118887,65125664,65186344,65314924,65409698,65521614,65799362,65818899,65833871,65948471,66037504,66154247,66177071,66306550,66313847,66427607,66631871,66835487,67047192,67095385,67157901,67315912,67429677,67932218,68135241,68188977,68214445,68227624,68308871,68395369,68703482,68755995,68835112,68898464,68942622,68967071,69280418,69315167,69423527,69562737,69648930,69740781,69745864,69848065,69856058,70069487,70095540,70283207,70633345,70665887,70812578,71024927,71088047,71548727,71621217,71652887,71839871,71863694,71868712,72221240,72232487,72335327,72383001,73251887,73266372,73334637,73339728,73389757,73393007,73471682,73694087,73794047,73974985,74037818,74226242,74290847,74290984,74292192,74341069,74389607,74566871,74748297,74768576,74774262,74807481,74860871,74938967,75346871,75350065,75428091,75462767,75500584,75520607,75730401,75915578,76114924,76190087,76605887,76756077,77036447,77055071,77314967,77439501,77444327,77510772,78085247,78149882,78464097,78479245,78519071,78590927,78787871,78894887,79072607,79074722,79320071,79347801,79567860,79653407,79845071,79995962,80122127,80273425,80362871,80514462,80730362,80807881,80852301,80933577,81248895,81543071,81625871,81790871,81852375,81857334,81938687,81971447,82074550,82118471,82189393,82292097,82374338,82507194,82542345,82748087,83282618,83491982,83568647,83577357,83578716,83644922,83801327,83817678,83825858,83940071,84108767,84114648,84169871,84337247,84397871,84488567,84539944,84760014,84788807,84872384,84938157,85279821,85554392,85929167,85931065,86014545,86029127,86040904,86164922,86368871,86578871,86665488,86731727,86856071,87309200,87346967,87468071,87946007,88045168,88125122,88181087,88258871,88302458,88310567,88411465,88656167,88702801,88757447,88769982,89033327,89038024,89056525,89070647,89186978,89280767,89317607,89329871,89356630,89500727,89704257,89801927,89873471,90003887,90215207,90354647,90420078,90732167,90844847,90967871,91012367,91214745,91309367,91342007,91431112,91525607,91644482,91685687,91748848,91768588,91938071,91948487,92134607,92257247,92327464,92341442,92506897,92548871,92588567,92697071,92785127,92930447,92967721,93026327,93036098,93187487,93225071,93281207,93364871,93521704,93584807,93826727,93958607,93984767,94175094,94246202,94259327,94284647,94582871,94628979,94655807,94712087,94775927,94831367,94934522,95010767,95013064,95107437,95125487,95200967,95269933,95312687,95327447,95481432,95608871,95679071,95850550,96024647,96218207,96248691,96268607,96328110,96330887,96453047,96548471,96645242,96721871,96724875,96783647,96796017,96815522,96866327,96909153,96936527,97015847,97193927,97228367,97295728,97296071,97324607,97385447,97440407,97498674,97636247,97697927,97707670,97718087,97777367,97789007,97868471,97872167,97915945,97923071,98010071,98079287,98123471,98154071,98195567,98212871,98222850,98241071,98297687,98370071,98372447,98404871,98415628,98450567,98456807,98477087,98489460,98509727,98566487,98575871,98611871,98619767,98623607,98629847,98641727,98648471,98658047,98677871,98682887,98685287,98696207,98700071,98706407,98708471,98713487,98723927,98724071,99050814,99184322,99477544,99520418,99782950,...,28261243244428528156554479055942989813912821547483937343902461087974101533994024583467655780059467735949873133317389996515676623105749178683496994592992473718707310510813488695372175017331827200110525266795794074359722287303653144536310700513192834597739815925208925186150804160752447767111805338519319936225321656378261898013251233328325978848815758323141460114396681228405249930927711686799520764874478940399332954771956950204000409691693079033453303692254706798582317657844872168284719242419638587730301856603001155786667385286663658239463641703416213628997194573868024417171304936777778808790574972891035139961663722922320725709579050180744028914667812507395164111689543788351134092405564660067606176913836441669886804943993415063964251627375093132483324834336156730376885024259096657920912533496554082408983263284263960994532102588826882571538522021274474697732031766596967501913863933299183708015643669780279145660131838872695068604015840935186065857283502558479184899128415529928956243306267121249164941715196111485582916278883439771999512415824166034559428668699410164426726789904397898121055725959704591205078569128726850265576306078645246254043558210533202650004126872389971111125272180129878726986753175411029889084071825335109410157914540921724596727113439857953681721890210451537822602164175492350995844937903723527365143253104211333785554762603211567563857237778996297260429954915365247498058552251929486830795388041088965806212904976807287635597309666888623072024055718315672362451757567664433640197534756702454966621446194300249020130627018052913465819767995439674918201900837819681089019437150099805386570664029973543619346684176732160032790490724364010388250031339814439158437932197395800694343246929466605379218306153844102105143321572374910859445466875645526244858068371124865431407280974485493347511338200900957992120127594207514720656328415566616489895540969039237374767165667302667311601830093077687505148869944469820486304764765800388442290665613095511257219715755832741841104963358243813131703744084366059650614933707975214190112015966102453949638456396312853189433098854757982692690346492871580085731539050630406593344432557746905313297966117915583049709257124616424994228368247883475213363457826965921260938439137204174879266859404226100735619635741687117217406735987500076274720309990843369527255692000311294627420409260669482792806506041518517677823965104383816922909676029429192959485523447956249121639230421168451096651552281617967658111429299035258471551364612137769356350681070608464776718897108411304146393137446841102133959143087507704699004637786878689768876563767492024150323922477189995194395196224210249920935779771551184297121220790399807160873204373107318819967995283859961505462045901628360897709998743390407243292378056765542681306695256372489417559771668570130018403092445836445256249628621236988287035910758715218523319887241636363822760918579908459737701597772781487098294051680388032441228431969107003817393993803383602658960202264956391230151693610811062193203966200043024653056273712990636961646022509698709568308676746567464152630839987703048651630464680874318365237058436573100252884865550412041495818674948481}
19873 181898942989893627226316737549253002569950738269794705400973094193611508: {158936,178803,695135,834162,993050,1012503,1191660,1271104,1429992,1608741,1726167,1806623,2580890,3057362,3097068,3194723,4147187,4367660,4385303,4563890,4900727,5241192,5476668,5896341,6343923,6388802,6520451,6633335,7350623,7421282,7757427,7782376,7960002,8293538,8755173,8769722,9126860,9314930,9374387,10114223,10222743,10422825,10500890,10556476,10563527,10768655,10952232,11117680,11177916,12105743,12321071,12321261,12408125,12466151,12507390,12601068,12922386,13286471,13341216,13413868,14130947,14249123,14448890,14483303,14799491,14841068,14886335,14889750,15008868,15080680,15187367,15434327,15624623,15882400,16860863,16965765,17208183,17239703,17338668,17547971,17601530,17811887,17816735,17863602,17867700,17876738,18096816,18248547,18594903,18890536,19058880,19194371,19674242,19939607,20329472,20355890,20358918,20486642,20564831,21110824,21121836,21142130,21251853,21339383,21380082,21441240,21660191,22320890,22386947,22700392,22870656,22940087,23028131,23421207,23683847,23749677,23862076,24121395,24427068,24667811,24691847,24921143,25068530,25167071,25299825,25370556,25537941,25701698,25729488,25818483,25943567,26160087,26438546,26553935,26560511,26785068,26825032,26986480,27183603,27420530,27476423,27619322,27864867,27944882,27987167,28106060,28273425,28545267,28945674,29174882,29378330,30082236,30158320,30178161,30359790,30943130,31246082,31490663,31864722,32383776,32582591,32897330,32904636,32909735,32946807,33205583,33325466,33727272,33820108,33928110,34088680,34587503,35239730,35253996,35276591,35320307,35416185,35681402,35784335,36015045,36089123,36112802,36189984,36431748,36901151,36931655,37131756,37777264,37836386,37906007,37919973,37943181,37980147,38131756,38349765,38416048,38426711,38649935,38652707,38688767,38793923,39184871,39476796,39491682,39921260,40713732,40906416,40935935,41050682,41737943,42032291,42162125,42174242,42287676,42499422,42558945,42646655,42809762,42840623,42941202,43173191,43218054,43904498,44068943,44276063,44301868,44317986,44375906,44637260,45071783,45142825,45396208,45504424,45603543,45797687,46019718,46051586,46379922,46498562,46591271,46693564,47086778,47192735,47362898,47601251,47901027,47905512,48314440,48399587,48882423,49021091,49123122,50395130,50415981,50594550,50839907,50863007,51070734,51175986,51192477,51323351,51555890,51814947,52147816,52233923,52576631,52715930,53035871,53379863,53476885,53564712,53893701,53967520,54051980,54083703,54104351,54171390,54353745,54498527,54947282,55052787,55419890,55705391,55714156,56631282,56937203,56984956,57038051,57676802,57782816,57897335,57977328,58269027,58666293,58756151,58901423,59138687,59575655,59699171,60019025,60046130,60051962,60230723,60260301,60286156,60324227,60474156,60661463,60692735,60713460,60943425,61027631,61200890,61781943,61867068,62221091,62466851,62885123,63026627,63193585,63259116,63479135,63880847,63979967,63984167,64172262,64489750,64530664,64591682,64636707,64691447,64761024,64862376,65004611,65005668,65006320,65224494,65422504,65473298,65493623,65787980,66063011,66503868,66838466,67002143,67094147,67190162,67772543,67831802,68414627,69168002,69476802,69577535,69840825,70030130,70142903,70518383,70633442,70843271,71091047,71112371,71229783,71490786,71541363,72022830,72023783,72055356,72096887,72596997,72617711,72831282,72856152,72970173,73132110,73441068,73493471,73600317,73806563,73972451,74263336,74496880,74619890,74860093,74928722,74972392,75083735,75285791,75765530,75804338,75832302,75880803,76174962,76352666,76395550,76824352,77039522,77291930,77387700,77503778,77908271,78007584,78034647,78036023,78945576,78954483,79409516,79558991,79579130,79963367,80002223,80280242,80536703,80786531,80893346,81224627,81243916,81407080,81482930,81643655,81831491,81963171,82546880,82614387,83136431,83493042,83546253,83556904,83808990,84036156,84144890,84343941,84482632,84759266,85133762,85181186,85284530,85640547,85950842,86043890,86075858,86123080,86427396,86844963,87042851,87182330,87362152,87370883,87374786,87619425,87746007,87758532,87822623,87897767,88128962,88345623,88601891,88608371,88645107,88813773,89396256,89517623,89542263,89543868,89634911,89835890,89906236,90031271,90100482,90276550,90554066,90846988,90918636,91011167,91582965,91674660,91713923,91841786,91923496,92540327,92612591,92750316,92863730,92865240,92987708,93032087,93460720,93486707,93703287,93793667,94001517,94375730,95042961,95076191,95119826,95143655,95286086,95494956,95692151,95804903,96510668,96888465,96975983,97398371,97688496,97779516,97786304,97972386,98114547,98282421,98464847,98699043,98971346,99056256,99459825,99664396,99699016,99743308,99854231,...,37681657659238037542072638741257319751883762063311916458536614783965468711992032777956874373412623647933164177756519995354235497474332238244662659457323298291609747347751318260496233356442436266814033689061058765812963049738204192715080934017590446130319754566945233581534405547669930356149073784692426581633762208504349197351001644437767971798421011097521946819195574971206999907903615582399361019832638587199110606362609266938667212922257438711271071589672942398109756877126496224379625656559518116973735808804001541048889847048884877652618188937888284838662926098490699222895073249037038411720766630521380186615551630563094300946105400240992038552890416676526885482252725051134845456540752880090141569218448588893182406591991220085285668836500124176644433112448208973835846699012128877227883377995405443211977684379018614659376136785102510095384696028365966263642709022129290002551818577732244944020858226373705527546842451830260091472021121246914754476378003411305579865504554039905274991075022828332219922286928148647443888371844586362666016554432221379412571558265880219235635719872530530828074301279606121606771425504969133687435074771526995005391410947377603533338835829853294814833696240173171635982337567214706518778762433780145880210552721228966128969484586477271575629186947268717096802885567323134661126583871631369820191004138948445047406350137615423418476317038661729680573273220486996664078069669239315774393850721451954408283873302409716847463079555851497429365407624420896483269010090219244853596713008936606622161928259066998693507502690737217954426357327252899890935867783759574785359249533466407182094218706631391492462245568976213377053987632485347184333375119752585544583909596527734259124329239288807172291074871792136140191095429833214479260622500860701659810757828166487241876374632647324463348450934534610656160170125610019627541771220755488653194054625385649833022887556403556415469106790770250006865159925959760648406353021067184589720887484127348342959621007776989121473284477658417508938325445821412867486578277300285586816021288136605266184608528417137585910798473010643590253795323828773447642052067507208791125910076995873751063954823887444066279009499488566658971157663844633617817943769287895014584585516272233172355812538968134314159514322249489623208981316666768366293746654457826036340922667081726169893879014225977057075341388691356903765286805845089230546234705905590612647364597274998828852307228224601462202069708823956877481905732047011295401819482850359141800908094144619702291862811215072195190849929121469511945524116676939598672850382504919691835418356656032200431896636253326925860261632280333227914373028734912396161627720533076214497605830809758426623993711813282007282727868837814530279998324520542991056504075687390241742260341829985890079695558093506691204123261115260341666171494982651049381214344953624697759849655515151763681224773211279650268797030375316131058735573850709921637909292142671756525325071178136878613603019941854973535591481081416257605288266724032870741698283987515948861363346264946091078235662089952203507786650270731535507286241165757820316077915430800337179820733882721994424899931308}
19874 182606189085924298509329386034393173660075842725546533849064729322012391: {139069,198670,238404,258193,436942,615133,754414,1112216,1150894,1208593,1230142,1251243,1350004,1445473,1489575,1588880,1787490,1906656,1918369,2100814,2144988,2301556,2337934,2811742,3095569,3127294,3798433,3871335,4129424,4308334,4465534,4586043,4645602,5312413,5428369,5459575,6425134,6468733,6551490,6809579,6815854,6845835,6988256,7159069,7273873,7302224,7518142,7732369,7861788,8215002,8296942,8417953,8458564,8873569,9441469,9583203,9727970,10314334,10343236,10459153,10546414,10613336,11131923,11408575,11583073,11673564,11695069,11940003,12243934,12365533,12440307,12699793,12936142,13154583,13195595,13255453,13630324,13690290,13897100,13972395,14030353,14602976,14903888,14928574,15021469,15157774,15615742,15678973,15751335,15834714,15920734,16428348,16529219,16676520,16758142,16766874,16767335,16801424,17062174,17214094,17229848,17441854,17788288,18471971,18551335,18761085,18850850,18901602,19032142,19334254,19383579,19853000,19862843,20011824,20120802,20421469,20951569,21673335,21741934,22041742,22261602,22334625,22513302,22621020,22635793,22944244,23053969,23089054,23118224,23471903,23611534,23613170,23818136,23823600,23990653,24129088,24331396,24508513,24654142,24793204,25100014,25322734,25396942,25411840,25538833,26008002,26255773,26388530,26402295,26408371,26508142,26663869,26795403,26801550,26815107,27145224,27173134,28057774,28162448,28335804,28375490,28506776,28588320,28687069,28719742,29511363,29588113,29827595,30185569,30284893,30494208,30533835,30538377,30729963,30780433,31228276,31281742,31569553,31666236,31667869,31682754,31713195,31766113,32070123,32158369,32161860,32569424,32664334,32809534,33036733,33055106,33481335,33522193,33531290,33614042,33733100,33827408,34050588,34305984,34424644,34880116,34967773,35132575,35636833,35713424,35793114,35922493,36059614,36244804,36640602,37058653,37153156,37528993,37602795,37697900,37903969,38055834,38060356,38208334,38277793,38552547,38594232,38921374,39657819,39669373,39721682,39816371,40109648,40177602,40200814,40237548,40313233,40479720,41130795,41428983,41590369,41681053,41917323,42110254,42159090,42275135,42321694,42486296,42610850,43032673,43166014,43178368,43418511,43762323,43797742,43872848,43929076,44067495,44148142,44279569,44568094,44847742,44969696,45123354,45161569,45237480,45539685,45629339,45949213,46123453,46414695,46471069,46869123,47005328,47221580,47335069,47560894,47664695,47764369,47797083,47906974,48020060,48253312,48277153,48575664,48942814,49041469,49345995,49356954,49509008,49901575,49967713,49988199,50218813,50559964,50590908,50640196,50730162,50892165,51133020,52635728,52655576,52710094,52846174,52859595,52880994,53050174,53100433,53522103,53585569,53729134,54135742,54169203,54284976,54308413,54541888,54647622,54707473,54787069,54866593,54879694,55377335,55697634,55796575,56160142,56383568,56464331,56563294,56665896,56745260,56753569,56754579,56831293,56880530,57099934,57197634,57244691,57254936,57450493,57501742,57624072,57835153,57902974,58366955,58675069,59090648,59103214,59129533,59169742,59215194,59237523,59731453,59881890,60254353,60393050,60804724,61070598,61359624,61576023,61839896,62541454,63103069,63132142,63261363,63431514,63525214,63749133,63868036,63874016,64098973,64169569,64214643,64411803,64505374,64827081,64980419,65176564,65184770,65416942,65497496,65600843,65806654,65856747,66066142,66185533,66452802,66476979,66563859,66663073,66955890,67221308,67459400,67564975,67674493,68094312,68234648,68256636,68325742,68339773,68603869,68711134,68997853,69029577,69077379,69086596,69324193,69352174,69569883,69642695,69747843,69842593,69863854,69907069,69927742,70040346,70228369,70292413,70630167,70865569,71044347,71231195,71419616,71858268,72111604,72180253,72228520,72365473,72471660,72488593,72978193,73112291,73403716,73684683,73883773,73922303,74046142,74108974,74241469,74297374,74596573,74986942,75124369,75357695,75415069,75508376,75592695,75891825,75986494,76441883,76606101,76763979,77065633,77303104,77333835,77454973,77692036,77849614,78158734,78221724,78277393,78493969,78547933,79073895,79295869,79769233,80005054,80133373,80347068,80391313,80433059,80617294,80632208,80663330,80800273,80951280,81077970,81257085,81257900,81554653,81778130,81836974,82234975,82375924,82420923,82489424,82871713,83129835,83292142,83352574,83533774,83571234,83580733,83767069,84345488,84410173,84500893,84557854,84946923,85098142,85127869,85348369,85477434,85563016,85783969,85956193,86182276,86212369,86348032,86483168,86515203,86674224,86965992,87236639,87251869,87454369,87483742,87655069,87780142,87857627,88016974,88207453,88285213,88371742,88671824,88783633,89158753,89197294,89343613,89563069,89923069,90069195,90077943,90429234,90711234,90780574,91070190,91126369,91453969,91655134,91774369,91801335,91900513,91963153,92236174,92393569,92410174,92635736,92800602,92829170,93104734,93121100,93155473,93380113,93715490,93815569,93933539,94142254,94459069,94727953,94799773,94888674,94973044,95034493,95194513,95321048,95388484,95500223,96021469,96030440,96073808,96144814,96258393,96310369,96475933,96734625,96738913,96795996,96826894,96856093,96887523,97017373,97053742,97108376,97132919,97141536,97156369,97245793,97293564,97336942,97360993,97458013,97508502,97509480,97641469,97787291,97810813,97836741,97845694,97879069,97890193,97921424,97944733,98048413,98126173,98133756,98181469,98209947,98308369,98391133,98452369,98477713,98631073,98650333,98681970,98686369,98690734,98702353,98719633,98742673,98743069,98886683,99261895,99755802,...,56522486488857056313108958111885979627825643094967874687804922175948203067988049166935311560118935471899746266634779993031353246211498357366993989185984947437414621021626977390744350034663654400221050533591588148719444574607306289072621401026385669195479631850417850372301608321504895534223610677038639872450643312756523796026502466656651957697631516646282920228793362456810499861855423373599041529748957880798665909543913900408000819383386158066906607384509413597164635315689744336569438484839277175460603713206002311573334770573327316478927283406832427257994389147736048834342609873555557617581149945782070279923327445844641451419158100361488057829335625014790328223379087576702268184811129320135212353827672883339773609887986830127928503254750186264966649668672313460753770048518193315841825066993108164817966526568527921989064205177653765143077044042548949395464063533193935003827727866598367416031287339560558291320263677745390137208031681870372131714567005116958369798256831059857912486612534242498329883430392222971165832557766879543999024831648332069118857337398820328853453579808795796242111451919409182410157138257453700531152612157290492508087116421066405300008253744779942222250544360259757453973506350822059778168143650670218820315829081843449193454226879715907363443780420903075645204328350984701991689875807447054730286506208422667571109525206423135127714475557992594520859909830730494996117104503858973661590776082177931612425809953614575271194619333777246144048111436631344724903515135328867280395069513404909933242892388600498040261254036105826931639535990879349836403801675639362178038874300199610773141328059947087238693368353464320065580981448728020776500062679628878316875864394791601388686493858933210758436612307688204210286643144749821718890933751291052489716136742249730862814561948970986695022676401801915984240255188415029441312656831133232979791081938078474749534331334605334623203660186155375010297739888939640972609529531600776884581331226191022514439431511665483682209926716487626263407488168732119301229867415950428380224031932204907899276912792625706378866197709515965385380692985743160171463078101260813186688865115493810626595932235831166099418514249232849988456736495766950426726915653931842521876878274408349758533718808452201471239271483374234434813471975000152549440619981686739054511384000622589254840818521338965585613012083037035355647930208767633845819352058858385918971046895912498243278460842336902193303104563235935316222858598070516943102729224275538712701362141216929553437794216822608292786274893682204267918286175015409398009275573757379537753127534984048300647844954379990388790392448420499841871559543102368594242441580799614321746408746214637639935990567719923010924091803256721795419997486780814486584756113531085362613390512744978835119543337140260036806184891672890512499257242473976574071821517430437046639774483272727645521837159816919475403195545562974196588103360776064882456863938214007634787987606767205317920404529912782460303387221622124386407932400086049306112547425981273923292045019397419136617353493134928305261679975406097303260929361748636730474116873146200505769731100824082991637349896962}
19875 183316165651018275575539282713583400615048403077191840837766946181383958: {298005,317872,357606,655413,973189,1131621,1390270,1668324,1687505,1726341,1845213,1986100,2025006,2383320,2402213,2542208,2681235,2859984,2876945,3151221,3217482,3452334,3506901,3613246,4217613,4690941,4901221,5019773,5161780,5734049,6114724,6194136,6389446,6462501,6698301,6968403,8294374,8735320,8770606,9127780,9286669,9637701,9801454,9827235,10223781,10482384,10573205,10953336,11078821,11277213,11792682,12322503,12445413,12687846,12777604,12929045,13040902,13266670,13932757,14591955,14701246,14842564,15076117,15458333,15471501,15514854,15564752,15702193,15819621,15920004,16187221,16587076,17037905,17371375,17510346,17539444,18253720,18365901,18629860,18748774,19040293,19404213,20228446,20445486,20535435,20840869,20845650,21001780,21112952,21127054,21537310,21904464,21956693,22235360,22355832,22392861,22736661,23423613,23752071,23881101,24211486,24550493,24642142,24642522,24816250,24932302,24943429,25014780,25137213,25150311,25202136,25593261,25821141,25844772,26162781,26394733,26457301,26572942,26682432,26827736,26859101,27107569,27990001,28261894,28276275,28352403,28498246,28548213,28680305,28897780,28966606,29001381,29598982,29682136,29685277,29728589,29772670,29779500,30017736,30161360,30181203,30374734,30414245,30421841,30868654,30991505,31249246,31764800,32612901,33062613,33272033,33392403,33721726,33769953,33931530,34416366,34479406,34633581,34677336,35095942,35203060,35417301,35419755,35623774,35633470,35727204,35735400,35753476,35927069,36183389,36193632,36415837,36497094,36981213,37175509,37189806,37650021,37781072,37984101,38095413,38117760,38388742,38656621,39012003,39035345,39348484,39582795,39762213,39879214,40202325,40454861,40658944,40711780,40717836,40759701,40973284,41076829,41129662,41742181,42086661,42166375,42221648,42243672,42284260,42503706,42563235,42678766,42760164,42882480,43030805,43079613,43320382,43600145,43932029,44636689,44641780,44773894,45306005,45400784,45741312,45880174,45881573,46056262,46073629,46309393,46441445,46842414,46922613,47122375,47367694,47499354,47524131,47569541,47575445,47724152,48242790,48854136,48996501,49214301,49335622,49383694,49582659,49842286,49922897,50098069,50137060,50296935,50334142,50421063,50599650,50741112,51075882,51301661,51403396,51458976,51636966,51704317,51887134,52072597,52320174,52877092,53107870,53121022,53570136,53650064,53689671,53972960,54089421,54109909,54367206,54841060,54911345,54952846,54960903,55238644,55729734,55889764,55974334,56212120,56546850,57083751,57090534,57310309,57312501,57530093,57755557,57891348,58349764,58382061,58756660,58762117,59026975,59582523,59705317,60025075,60164472,60266403,60301221,60316640,60356322,60531053,60719580,61250117,61798901,61886260,62023501,62492164,62981326,63077333,63165381,63199955,63238635,63300245,63482541,63729444,63916275,64749021,64767552,65165182,65696613,65794660,65809272,65819470,65844689,65893614,66069829,66222213,66411166,66650932,66852141,66890813,67100941,67212653,67271613,67454544,67640216,67685031,67856220,68177360,69175006,70479460,70507992,70553182,70640614,70832370,70931575,71341341,71362804,71568670,71860461,72030090,72178246,72225604,72379968,72863496,73414221,73500913,73802302,73863310,74035431,74263512,74323013,74867639,75554528,75672772,75812014,75839946,75886362,75960294,76005905,76095243,76263512,76699530,76832096,76853422,77299870,77305414,77377534,77587846,77625829,78303857,78369742,78953592,78983364,79065141,79269261,79321491,79575261,79835045,79842520,80593701,81056269,81203613,81427464,81470705,81812832,81871870,81971433,82101364,82319541,82568237,83405917,83475886,83546451,84026635,84041893,84064582,84240213,84324250,84348484,84575352,84844941,84969829,84998844,85110737,85117890,85293310,85320795,85619524,85649901,85681246,85796451,85851293,85882404,86252613,86346382,86358245,86370773,86436108,86542349,86831861,86854461,87808996,88137886,88471019,88552126,88603736,88635972,88654821,88751812,88754613,88822791,88870789,89274520,89822835,90139505,90143566,90285650,90589575,90792416,91008848,91207086,91595374,91605897,91754645,92039436,92103172,92131853,92759844,92997124,93182542,93387128,93519329,93644069,93812181,94173556,94385470,94502161,94638533,94698213,94725796,95147271,95202502,95287821,95802054,95811024,95816629,95992741,96628880,96758061,96799174,97115045,97408549,97764846,97777155,98042182,98125413,98246244,98392613,98709981,99099213,99448093,99679203,...,84783729733285584469663437167828969441738464642451812031707383263922304601982073750402967340178403207849619399952169989547029869317247536050490983778977421156121931532440466086116525051995481600331575800387382223079166861910959433608932101539578503793219447775626775558452412482257343301335416015557959808675964969134785694039753699984977936546447274969424380343190043685215749792783135060398562294623436821197998864315870850612001229075079237100359911076764120395746952973534616504854157727258915763190905569809003467360002155859990974718390925110248640886991583721604073251513914810333336426371724918673105419884991168766962177128737150542232086744003437522185492335068631365053402277216693980202818530741509325009660414831980245191892754882125279397449974503008470191130655072777289973762737600489662247226949789852791882983596307766480647714615566063823424093196095299790902505741591799897551124046931009340837436980395516618085205812047522805558197571850507675437554697385246589786868729918801363747494825145588334456748748836650319315998537247472498103678286006098230493280180369713193694363167177879113773615235707386180550796728918235935738762130674631599607950012380617169913333375816540389636180960259526233089667252215476005328230473743622765173790181340319573861045165670631354613467806492526477052987534813711170582095429759312634001356664287809634702691571713336988891781289864746095742494175656755788460492386164123266897418638714930421862906791929000665869216072167154947017087355272702993300920592604270107364899864338582900747060391881054158740397459303986319024754605702513459043267058311450299416159711992089920630858040052530196480098371472173092031164750094019443317475313796592187402083029740788399816137654918461532306315429964717124732578336400626936578734574205113374596294221842923456480042534014602702873976360382782622544161968985246699849469686622907117712124301497001908001934805490279233062515446609833409461458914294297401165326871996839286533771659147267498225523314890074731439395111232253098178951844801123925642570336047898307361848915369188938559568299296564273948078071039478614740257194617151891219780033297673240715939893898353746749149127771373849274982685104743650425640090373480897763782815317411612524637800578212678302206858907225061351652220207962500228824160929972530108581767076000933883882261227782008448378419518124555553033471895313151450768729028088287578878456570343868747364917691263505353289954656844853902974334287897105775414654093836413308069052043211825394330156691325233912439179412340523306401877429262523114097013913360636069306629691302476072450971767431569985583185588672630749762807339314653552891363662371199421482619613119321956459903985851579884516386137704885082693129996230171221729877134170296628043920085769117468252679315005710390055209277337509335768748885863710964861107732276145655569959661724909091468282755739725379213104793318344461294882155041164097323685295907321011452181981410150807976880606794869173690455080832433186579611898600129073959168821138971910884938067529096128704926030239702392457892519963109145954891394042622955095711175309719300758654596651236124487456024845443}
19876 184028883152297190236474084489387879111389194684592487324098160554411956: {278138,397340,456619,476808,516386,536409,873884,1230266,1508828,1642819,2085405,2224432,2233219,2301788,2417186,2460284,2482625,2502486,2700008,2704243,2890946,2939323,2979150,3037509,3177760,3291403,3525763,3574980,3813312,3836738,4201628,4289976,4603112,4675868,4826223,5178501,5419869,5623484,5737819,6191138,6200203,6254588,6452225,7596866,7643405,7742670,8152483,8258848,8608819,8616668,8722723,8931068,9172086,9291204,9584169,9744619,10624826,10760683,10856738,10919150,11322643,11409725,11882803,12441561,12850268,12937466,13102980,13155909,13619158,13631708,13691670,13773883,13976512,14318138,14547746,14604448,14702181,15036284,15205963,15464738,15723576,15972005,15972043,16408219,16430004,16593884,16835906,16917128,17601763,17689023,17747138,18464323,18473833,18553205,18882938,19031769,19166406,19455940,19561353,19900005,20628668,20686472,20706619,20733845,20918306,21092828,21226672,21763219,21924305,22051869,22263846,22817150,23166146,23272281,23287325,23347128,23390138,23438803,23474269,23854819,23880006,23958643,24487868,24731066,24880614,25399586,25404619,25872284,25971869,26252225,26265519,26309166,26391190,26411033,26428819,26510906,27260648,27380580,27794200,27944790,27951619,28060706,28123161,29205952,29358283,29558083,29807776,29857148,30042938,30315548,30342669,30668229,31209893,31231484,31268475,31357946,31441819,31502670,31669428,31690581,31841468,32305965,32325043,32856696,33058438,33353040,33516284,33533748,33534670,33602848,33977443,34124348,34428188,34459696,34883708,35322619,35576576,36122225,36317229,36369643,36842683,36943942,36963213,36963783,37102670,37125643,37224375,37398453,37522170,37701700,37783363,37803204,38064284,38668508,38767158,38995483,39706000,39725686,39859413,39919603,40023648,40241604,40378963,40842938,41292283,41758633,41836819,41903138,41927323,42392841,42747369,42828403,43346670,43449909,43483868,44003825,44077819,44083484,44166523,44398473,44523204,44659005,44669250,44691845,45026604,45242040,45271586,45562101,45888488,46107938,46178108,46186843,46236448,46273819,46302981,46873869,46943806,47139619,47223068,47226340,47483923,47636272,47647200,47981306,48258176,48424819,48662792,49017026,49185605,49188163,49308284,49586408,49777843,50200028,50582589,50645468,50793884,50823680,50889725,50897295,51077666,51216605,51624549,51719109,51855043,52016004,52511546,52643913,52777060,52804590,52816742,52855325,53016284,53327738,53403619,53435661,53450205,53590806,53603100,53630214,54128083,54290448,54346268,54745641,55005619,55084963,55322563,55784709,55802225,55874443,56115548,56324896,56656723,56671608,56750980,57013552,57176640,57374138,57439484,57583113,57662923,58046683,58884619,59022726,59176226,59185189,59338003,59655190,59818821,60371138,60569786,60830563,60988416,61067670,61076754,61125619,61459926,61560866,61694493,62456552,62511403,62563484,62671325,63139106,63332472,63335738,63365508,63373243,63426390,63532226,63755559,64018149,64140246,64254245,64316738,64323720,64365619,64435963,64980573,64996123,65135443,65138848,65328668,65619068,66073466,66096365,66110212,66171163,66730573,66962670,67044386,67062580,67160841,67228084,67466200,67526923,67654816,68101176,68194003,68551325,68611968,68788219,68820261,68849288,69048305,69084393,69115819,69376603,69700963,69760232,69862205,69935546,70263621,70265150,70726819,70790323,71051541,71249031,71273666,71358619,71426848,71586228,71844986,72119228,72292819,72354523,72364185,72489608,72937205,73281204,73445825,73573483,73753843,74003433,74075541,74117306,74306312,74468803,74763429,75057986,75205590,75395800,75501213,75807938,75867619,75899475,76111668,76120712,76416668,76555586,76613823,76664443,77105094,77188464,77357825,77455449,77528269,77557819,77830701,77842748,78052243,78115205,78480261,79130083,79315638,79338746,79443364,79632742,79661805,79681533,79710619,80219296,80355204,80401628,80475096,80539483,80626466,80947003,80959440,81550809,81713737,81994819,82190803,82243325,82261590,82288363,82429269,82857966,83180738,83313665,83362106,83594601,83623963,83834646,83961501,84133219,84220508,84318180,84550270,84643388,84768763,84820275,84972592,85214083,85221700,85258219,85521523,85635801,85695619,85911619,86065346,86168443,86332028,86356736,86837022,87373219,87524646,87595484,87745696,87858152,88012003,88099325,88134990,88207843,88296284,88559138,89085523,89122819,89136188,89203505,89345083,89637403,89695484,89889403,89939392,89996323,90031819,90246708,90282005,90323138,90474960,90534483,91079370,91195843,91258678,91425163,91841683,91898426,92060923,92246906,92815123,92829390,92942138,92960563,93046963,93330283,93524323,93633619,93738246,93875323,94007083,94010656,94443160,94471989,94590965,94638883,94670138,94759843,94807723,95042803,95121788,95270683,95329390,95337643,95359819,95528738,95594166,95808883,95813948,95890819,96040120,96070963,96358243,96486763,96506624,96554306,96965563,97138219,97151328,97228723,97429819,97484683,97499773,97511683,97577923,97747773,97885628,97937563,98082938,98122243,98232403,98292293,98449123,98488219,98494483,98599819,98604643,98640643,98664619,98668363,98691990,98713908,98725819,98729205,98754043,98840421,99018016,99616749,99723673,99803150,99935426,99976398,...,113044972977714112626217916223771959255651286189935749375609844351896406135976098333870623120237870943799492533269559986062706492422996714733987978371969894874829242043253954781488700069327308800442101067183176297438889149214612578145242802052771338390959263700835700744603216643009791068447221354077279744901286625513047592053004933313303915395263033292565840457586724913620999723710846747198083059497915761597331819087827800816001638766772316133813214769018827194329270631379488673138876969678554350921207426412004623146669541146654632957854566813664854515988778295472097668685219747111115235162299891564140559846654891689282902838316200722976115658671250029580656446758175153404536369622258640270424707655345766679547219775973660255857006509500372529933299337344626921507540097036386631683650133986216329635933053137055843978128410355307530286154088085097898790928127066387870007655455733196734832062574679121116582640527355490780274416063363740744263429134010233916739596513662119715824973225068484996659766860784445942331665115533759087998049663296664138237714674797640657706907159617591592484222903838818364820314276514907401062305224314580985016174232842132810600016507489559884444501088720519514907947012701644119556336287301340437640631658163686898386908453759431814726887560841806151290408656701969403983379751614894109460573012416845335142219050412846270255428951115985189041719819661460989992234209007717947323181552164355863224851619907229150542389238667554492288096222873262689449807030270657734560790139026809819866485784777200996080522508072211653863279071981758699672807603351278724356077748600399221546282656119894174477386736706928640131161962897456041553000125359257756633751728789583202777372987717866421516873224615376408420573286289499643437781867502582104979432273484499461725629123897941973390045352803603831968480510376830058882625313662266465959582163876156949499068662669210669246407320372310750020595479777879281945219059063201553769162662452382045028878863023330967364419853432975252526814976337464238602459734831900856760448063864409815798553825585251412757732395419031930770761385971486320342926156202521626373377730230987621253191864471662332198837028498465699976913472991533900853453831307863685043753756548816699517067437616904402942478542966748468869626943950000305098881239963373478109022768001245178509681637042677931171226024166074070711295860417535267691638704117716771837942093791824996486556921684673804386606209126471870632445717196141033886205458448551077425402724282433859106875588433645216585572549787364408535836572350030818796018551147514759075506255069968096601295689908759980777580784896840999683743119086204737188484883161599228643492817492429275279871981135439846021848183606513443590839994973561628973169512227062170725226781025489957670239086674280520073612369783345781024998514484947953148143643034860874093279548966545455291043674319633838950806391091125948393176206721552129764913727876428015269575975213534410635840809059825564920606774443244248772815864800172098612225094851962547846584090038794838273234706986269856610523359950812194606521858723497273460948233746292401011539462201648165983274699793924}
19877 184744352096724360337105798423575247051993924354336524373539282654897819: {417207,496675,596010,635744,715212,774579,1092355,1310826,1845399,1886035,1946378,2263242,2362507,2780540,2838979,2877235,3075355,3336648,3375010,3452682,3625779,3690426,3753729,3972200,4027723,4050012,4336419,4468725,4766640,4804426,5020279,5084416,5252035,5362470,5719968,5734627,5753890,5755107,5844835,5932459,6302442,6408643,6434964,6904668,7013802,7029355,7226492,7818235,8435226,9286707,9381882,9802442,10039546,10246423,10323560,10770835,11163835,11395299,11468098,11550979,11614005,12229448,12388272,12778892,12925002,13396602,13758129,13813843,13936806,14802487,15830587,15893779,15937239,16062835,16285107,16378725,16588748,16667779,17039635,17470640,17541212,18100663,18255560,18268939,18573338,18683659,18795355,19275402,19361683,19406199,19602908,19654470,19860403,20428737,20447562,20537505,20742355,20964768,21146410,21477207,21821619,21906672,22157642,22391479,22544227,22554426,23197107,23256343,23585364,23853067,24137419,24319925,24552979,24645006,24890826,25253859,25375692,25555208,25785835,25858090,25948819,26081804,26366035,26533340,26620707,26988763,27575383,27769579,27865514,27905347,28324407,28749609,29014219,29183910,29402492,29685128,30152234,30162583,30609835,30916666,30943002,31029708,31129504,31377459,31404386,31639242,31840008,32316163,32340355,32374442,32519899,32589187,33174152,33395769,33926203,34037443,34075810,34225725,34420027,34742750,34749219,34895059,35020692,35078888,35085207,35133787,35820009,35930707,36187063,36507440,36598603,36731802,37096599,37259720,37320921,37321435,37497548,37894435,38080586,38099379,38763703,38808426,39039355,39463749,39586785,39766359,39801835,40152427,40153783,40456892,40720843,40890972,41070870,41681738,41691300,41895355,41917185,42003560,42091059,42225904,42254108,42579943,42655435,42762187,43035235,43074620,43388107,43604635,43808928,43913386,44470720,44711664,44785722,45064407,45473322,45886219,46790119,46847226,47036919,47127125,47254005,47504142,47580355,47762202,47840563,48335635,48422972,49100503,49100986,49264507,49284284,49285044,49587657,49632500,49864604,49886858,50029560,50274426,50300622,50302005,50404272,50593003,50850199,50997979,51186522,51642282,51689544,52325562,52789466,52914602,53145884,53364864,53655472,53718202,54215138,54354835,54580387,54649483,55104355,55415913,55434643,55559563,55654005,55796179,55980002,56283255,56523788,56552550,56704806,56711479,56996492,57096426,57360610,57622567,57722635,57795560,57899467,57933212,57987523,58002762,58150737,59028835,59032925,59150659,59197964,59364272,59370554,59457178,59545340,59559000,59588529,59889283,60035472,60243127,60322720,60336439,60362406,60749468,60828490,60843682,60961879,61040203,61264407,61635355,61737308,61983010,62128267,62233687,62394979,62498492,62750035,62854707,63306835,63428407,63492355,63529600,63893779,65018023,65020005,65040043,65225802,65474263,65935783,65971325,66050743,66125226,66270355,66513163,66544066,66605623,66784806,67003875,67219459,67320979,67443452,67539906,67863060,67907379,67932835,68781079,68832732,68958812,69161907,69267162,69354672,70144435,70191884,70406120,70415709,70491319,70834602,70839510,70938725,71125867,71247548,71266940,71454408,71470800,71506952,71536699,71799355,71854138,71971959,72366778,72387264,72831674,72994188,73335463,73525539,73591123,73764643,73962426,74330539,74351018,74379612,74545939,74904883,75300042,75562144,75617767,75968202,76190826,76235520,76416619,76616499,76777484,76875883,77033143,77313242,78024006,78070690,78075703,78204355,78310699,78502003,78696968,78767319,79052779,79165590,79206885,79225113,79446979,79524426,79758428,79991607,80386209,80404650,80445321,80909722,81317888,81423560,81435672,81519402,81660835,81946568,82023835,82081879,82153658,82259324,82478587,82637765,83342083,83484362,83671603,83704123,83828225,84035105,84173322,84332750,84443296,84487344,84568520,85007412,85021123,85119379,85126470,85357532,85520328,85645507,85764960,86061207,86061610,86159226,86253163,86640764,87200290,87275179,87537043,87618187,87864058,88159963,88479937,88534089,88620343,88764339,89273378,89283560,89482785,89547788,89631223,90149035,90556707,90612010,90763927,90801568,90854679,90980443,91482624,91601505,91615131,91760348,91763146,92003479,92112524,92147258,92189889,92216347,92341299,92559379,92618786,92882890,93684828,93812983,93845226,93898423,94184947,94244750,94648279,94708659,94735388,94998708,95003607,95048262,95139082,95139585,95150890,95298339,95315083,95448304,95498407,95520835,95529523,95900563,96210369,96475107,96485580,97303435,97708272,97993002,98428602,98671244,98767388,98819479,99110199,99165318,99304205,99684572,99845794,...,169567459466571168939326874335657938883476929284903624063414766527844609203964147500805934680356806415699238799904339979094059738634495072100981967557954842312243863064880932172233050103990963200663151600774764446158333723821918867217864203079157007586438895551253551116904824964514686602670832031115919617351929938269571388079507399969955873092894549938848760686380087370431499585566270120797124589246873642395997728631741701224002458150158474200719822153528240791493905947069233009708315454517831526381811139618006934720004311719981949436781850220497281773983167443208146503027829620666672852743449837346210839769982337533924354257474301084464173488006875044370984670137262730106804554433387960405637061483018650019320829663960490383785509764250558794899949006016940382261310145554579947525475200979324494453899579705583765967192615532961295429231132127646848186392190599581805011483183599795102248093862018681674873960791033236170411624095045611116395143701015350875109394770493179573737459837602727494989650291176668913497497673300638631997074494944996207356572012196460986560360739426387388726334355758227547230471414772361101593457836471871477524261349263199215900024761234339826666751633080779272361920519052466179334504430952010656460947487245530347580362680639147722090331341262709226935612985052954105975069627422341164190859518625268002713328575619269405383143426673977783562579729492191484988351313511576920984772328246533794837277429860843725813583858001331738432144334309894034174710545405986601841185208540214729799728677165801494120783762108317480794918607972638049509211405026918086534116622900598832319423984179841261716080105060392960196742944346184062329500188038886634950627593184374804166059481576799632275309836923064612630859929434249465156672801253873157469148410226749192588443685846912960085068029205405747952720765565245088323937970493399698939373245814235424248602994003816003869610980558466125030893219666818922917828588594802330653743993678573067543318294534996451046629780149462878790222464506196357903689602247851285140672095796614723697830738377877119136598593128547896156142078957229480514389234303782439560066595346481431879787796707493498298255542747698549965370209487300851280180746961795527565630634823225049275601156425356604413717814450122703304440415925000457648321859945060217163534152001867767764522455564016896756839036249111106066943790626302901537458056176575157756913140687737494729835382527010706579909313689707805948668575794211550829308187672826616138104086423650788660313382650467824878358824681046612803754858525046228194027826721272138613259382604952144901943534863139971166371177345261499525614678629307105782727324742398842965239226238643912919807971703159769032772275409770165386259992460342443459754268340593256087840171538234936505358630011420780110418554675018671537497771727421929722215464552291311139919323449818182936565511479450758426209586636688922589764310082328194647370591814642022904363962820301615953761213589738347380910161664866373159223797200258147918337642277943821769876135058192257409852060479404784915785039926218291909782788085245910191422350619438601517309193302472248974912049690886}
19878 185462583031255369245204396175904761353561408729115605874870836227616810: {218537,337637,556276,734117,794680,894015,913238,953616,1032772,1072818,1169321,1747768,1966239,1997477,2460532,2508377,2743721,2919567,2978777,3017656,3285638,3394863,3475675,3526121,3565157,3760217,3877157,4170810,4448864,4466438,4603576,4834372,4920568,4965250,5004972,5062515,5179023,5274821,5400016,5408486,5506757,5535639,5781892,5878646,5958300,6008297,6075018,6355520,6582806,6585317,6777257,7051526,7149960,7206639,7581221,7626624,7673476,7810277,7962821,8043705,8191397,8381657,8403256,8579952,8630835,8723621,8875397,8951237,9033115,9206224,9351736,9443417,9453663,9519017,9652446,9670121,10357002,10520703,10700767,10839738,10986821,11136677,11246968,11475638,11921321,12330917,12382276,12400406,12442457,12509176,12652839,12665321,12904450,14072823,14143721,14474597,14703663,15059319,15193732,15207557,15286810,15426821,15485340,15755177,15973615,16304966,16517696,16663877,17202147,17217638,17233336,17423321,17445446,17862136,18286937,18344172,18582408,19038821,19168338,19217321,19387503,19489238,19573721,20094903,20496617,20735935,20905209,21167621,21249652,21521366,21713476,21838300,21926515,22186217,22360807,22645286,22710437,22819450,23765606,23995817,24503635,24883122,25201637,25700536,25874932,25974487,26205960,26311818,26329577,26533721,26737577,27238316,27245957,27263416,27383340,27547766,27550121,27752537,27860007,27953024,28391621,28636276,28693337,28760297,28913103,29027383,29095492,29208896,29394821,29404362,29481705,29594597,29694377,30072568,30357737,30411926,30671343,30694027,30853157,30929476,31050821,31213039,31447152,31674857,31719615,31871321,31944010,31944086,32361221,32556677,32602255,32816438,32860008,33044057,33166675,33187768,33236463,33671812,33831639,33834256,33981221,34174277,34270697,34943621,35203526,35378046,35494276,35549417,35708357,36183977,36373721,36753115,36884419,36928646,36947666,36967509,37106410,37129817,37161221,37336239,37765876,37787621,37818857,37974917,38063538,38332812,38787135,38911880,39122706,39216197,39678377,39800010,39954821,40138757,40383557,40566821,41023721,41257336,41372944,41413238,41467690,41660357,41781221,41798271,41836612,42112937,42185656,42453344,42653657,42833321,43102277,43526438,43775865,43848610,44103738,44201177,44289797,44527692,44614121,45228351,45230597,45610457,45634300,45959897,46192217,46221221,46332292,46374999,46414503,46539737,46544562,46574650,46655321,46694256,46780276,46871935,46877606,46948538,46972517,47106579,47458863,47709638,47760012,47832677,47917286,48345317,48543977,48561663,48628997,48975736,49193957,49462132,49761228,50035397,50571115,50620121,50799172,50809238,51113715,51311621,51559337,51744568,51943738,52114125,52271321,52504450,52516517,52531038,52618332,52782380,52817635,52822066,52857638,53021812,53194217,53598437,53652197,53759621,53843275,54161321,54321497,54521296,54761160,55097703,55118057,55487321,55588400,55889580,55903238,55907417,56121412,56246322,56767397,56819237,56896937,57120879,57541637,57695621,57823721,58079321,58212639,58411904,58716566,59116166,59615552,59714296,59746217,60085876,60343721,60528715,60631096,60685338,60690137,61336458,61353797,61605355,61606305,62035877,62040625,62330755,62398697,62419786,62462968,62522607,62536950,62543321,62568583,62715892,62883638,63005340,63338856,63381162,63381221,63523877,63682936,63737321,64584617,64611930,64650086,64818137,65027621,65143721,65713392,65870079,65973737,66042437,66116876,66179621,66202457,66432355,66521321,66657497,66706080,66951557,67032568,67067496,67069340,67178583,67205696,67289177,67401317,67954886,68209983,68248696,68665577,68856376,68859847,68919392,69385637,69407321,69710057,69731621,69767416,70182617,70270839,70645238,70654735,70672517,70820777,71116121,71153152,71242217,71245615,71256213,71639621,71643303,71703247,72240617,72244450,72384677,72416515,72548837,72634458,72739286,72997637,73482821,73651479,73685366,73703657,73887884,73926426,73927566,73997455,74205340,74251286,74261417,74380121,74431675,74448750,74478821,74498537,74796906,74830287,74891177,75044340,75183557,75358121,75403400,75411639,75435497,75450933,75551321,75566726,75606408,75820457,75936835,76126121,76128568,76410821,76779783,77171635,77337016,77463423,77534316,77990966,78123115,78172121,78335237,78461657,78488343,78551717,78820697,78874277,79184199,79353257,79371903,79412000,79451372,79581797,79718826,79839206,80047296,80448197,80483208,80577303,80757926,80823077,81322707,81577817,81685876,81710297,81825797,81875177,82055621,82202537,82218821,82300121,82316357,82584566,83517266,83558117,83636057,83673638,83806276,83854646,83884121,83961221,83970003,84206597,84304315,84781157,84785682,84796121,84828825,85019621,85057209,85446617,85494738,85548677,85621337,85644639,85656806,86040915,86110121,86198515,86407397,86449577,86693340,86825957,86899818,86967736,87004143,87278057,87305177,87426821,87507557,87739855,87761321,87880517,88007650,88025321,88038437,88155638,88166968,88234217,88299077,88333046,88415321,88729663,88796946,88798121,89046408,89055831,89059435,89083675,89111621,89185767,89186117,89318010,89338500,89358821,89371097,89383690,89542121,89614937,89903321,89915237,89950937,89955943,89974697,90053208,90477797,90484080,90543172,90543609,90546821,90604121,90842597,91124202,91242735,91265523,91319897,91385321,91482917,91776976,91866821,91982057,92085977,92215876,92356216,92373686,92472896,92534911,92547638,92605962,92623397,92722277,92771417,92830121,92974515,93071621,93204677,93261221,93493721,93685157,93747738,93846437,93887612,94031321,94279238,94331621,94382117,94446136,94452680,94490537,94654697,94703321,94775717,94831577,94967846,95066537,95173721,95272544,95294400,95361221,95405477,95572457,95622437,95686121,95832197,95962612,95971855,96067817,96191621,96375017,96381221,96509657,96516352,96616937,96667627,96789977,96849638,96988121,97062377,97201157,97265897,97295321,97325584,97362857,97396037,97502297,97529321,97533797,97556057,97763621,97787717,97807087,97838703,97842821,97922537,97977317,98034052,98218217,98268197,98276777,98293721,98345477,98350757,98371210,98376326,98389337,98399321,98435621,98467877,98483417,98513321,98515397,98572121,98608997,98616568,98630057,98681321,98688857,98725157,98735321,98743721,98754137,98760617,98767337,98768837,98773721,98779097,98783621,99172816,99187839,99555686,99698035,99816099,...,254351189199856753408990311503486908325215393927355436095122149791766913805946221251208902020535209623548858199856509968641089607951742608151472951336932263468365794597321398258349575155986444800994727401162146669237500585732878300826796304618735511379658343326880326675357237446772029904006248046673879426027894907404357082119261099954933809639341824908273141029570131055647249378349405181195686883870310463593996592947612551836003687225237711301079733230292361187240858920603849514562473181776747289572716709427010402080006467579972924155172775330745922660974751164812219754541744431000009279115174756019316259654973506300886531386211451626696260232010312566556477005205894095160206831650081940608455592224527975028981244495940735575678264646375838192349923509025410573391965218331869921288212801468986741680849369558375648950788923299441943143846698191470272279588285899372707517224775399692653372140793028022512310941186549854255617436142568416674592715551523026312664092155739769360606189756404091242484475436765003370246246509950957947995611742417494311034858018294691479840541109139581083089501533637341320845707122158541652390186754707807216286392023894798823850037141851509740000127449621168908542880778578699269001756646428015984691421230868295521370544020958721583135497011894063840403419477579431158962604441133511746286289277937902004069992863428904108074715140010966675343869594238287227482526970267365381477158492369800692255916144791265588720375787001997607648216501464841051262065818108979902761777812810322094699593015748702241181175643162476221192377911958957074263817107540377129801174934350898248479135976269761892574120157590589440295114416519276093494250282058329952425941389776562206249089222365199448412964755384596918946289894151374197735009201880809736203722615340123788882665528770369440127602043808108621929081148347867632485906955740099548409059868721353136372904491005724005804416470837699187546339829500228384376742882892203495980615990517859601314977441802494676569944670224194318185333696759294536855534403371776927711008143694922085546746107566815678704897889692821844234213118435844220771583851455673659340099893019722147819681695061240247447383314121547824948055314230951276920271120442693291348445952234837573913401734638034906620576721675184054956660623887500686472482789917590325745301228002801651646783683346025345135258554373666659100415685939454352306187084264862736635369711031606242094753073790516059869863970534561708923002863691317326243962281509239924207156129635476182990470073975701737317538237021569919205632287787569342291041740081908207919889073907428217352915302294709956749556766017892249288422017943960658674090987113598264447858839357965869379711957554739653549158413114655248079389988690513665189631402510889884131760257307352404758037945017131170165627832012528007306246657591132894583323196828436966709878985174727274404848267219176137639314379955033383884646465123492291971055887721963034356545944230452423930641820384607521071365242497299559738835695800387221877506463416915732654814202587288386114778090719107177373677559889327437864674182127868865287133525929157902275963789953708373462368074536329}
19879 186183586542989210419446421601109349843565963439355703634216489821646567: {695345,834414,993350,1192020,1271488,1290965,1369857,1430424,1529297,1549158,1609227,2184710,2621652,2640449,3075665,3355157,3690798,3772070,3892756,4028129,4305497,4526484,4725014,4928457,5561080,5677958,5754470,5933057,6042965,6150710,6256215,6409289,6673296,6699657,6750020,6905364,7162601,7227365,7251558,7352849,7380852,7447875,7507458,7944400,8055446,8100024,8112729,8182769,8672838,8817969,8937450,9112527,9533280,9591845,9608852,9841097,9874209,10040558,10168832,10504070,10577289,10724940,10945529,11439936,11469254,11507780,11510214,11689670,11864918,12109409,12604884,12817286,12869928,13651157,13809336,14027604,14058710,14452984,14478669,14487689,14593337,15079169,15439001,15477845,15535503,15629369,15636470,16259607,16865969,16870452,17213457,17693009,17817281,18573414,18600609,18763764,18783557,18992165,19356675,19595057,19604884,20079092,20492846,20533637,20647120,21259349,21541670,22196921,22327670,22487969,22790598,22881989,22930215,22936196,23101958,23228010,23691041,23855489,24457449,24458896,24776544,25196489,25557784,25826457,25850004,26168169,26313497,26462657,26562065,26793204,27141845,27297875,27484769,27516258,27627686,27873612,28752507,28850057,29017157,29039297,29233857,29604974,30038117,31188329,31661174,31787558,31874478,32125670,32282049,32343665,32570214,32589089,32749937,32757450,33177496,33335558,33967929,34047895,34079270,34229175,34598009,34941280,35082424,35646689,35648409,35795345,35934809,36100169,36201326,36369365,36423209,36511120,36537878,36597257,36602309,36912449,37146676,37324683,37367318,37590710,37917521,38191829,38550804,38661845,38723366,38812398,39196817,39205816,39308940,39467727,39720806,40157849,40226069,40857474,40895124,40904321,41075010,41321649,41484710,41867909,41929536,42089765,42292820,42766529,42853769,42954414,43529177,43643238,43813344,44082329,44106543,44315284,44367845,44782958,45088454,45108852,45276497,45617889,45811649,46394214,46512686,46794857,47170728,47207345,47706134,47916015,47916129,48274838,48639850,49105958,49224657,49290012,49462277,49781652,50174249,50507718,50751384,51110416,51571670,51716180,51897638,52163608,52250009,52295765,52732070,52805289,53052209,53066680,53067069,53241414,53977526,54515081,54585929,54655097,55150766,55392969,55421499,55539158,55565189,55659615,55722569,55731028,55810694,56545121,56648814,57042875,57095307,57499218,57767249,57915365,58028438,58367820,58418657,58475345,58653497,58684059,58804984,59370256,59391257,59700015,59717609,60249329,60304468,60325166,60558437,60679889,61001609,61046489,61219670,61827665,61833332,61886004,62036057,62059416,62119857,62201535,62259008,62754918,62808772,63035249,63278484,63498965,63680016,63999401,64632326,64680710,64711169,64748884,65039798,65046629,65178374,65289657,65513669,65772915,65977975,66155607,66277265,66348304,66612497,66698081,66791538,66935081,67022657,67669889,67793129,67852406,68074886,68151620,68451450,68530709,68840054,69485500,69498438,69790118,69816843,69861975,70041384,70151765,70157776,70164209,70170414,70267574,70316409,70422807,70498457,71112641,71133089,71564457,71640018,71861414,71875929,72045857,72374126,72401417,73014880,73197206,73342889,73463604,74193198,74338241,74519440,74641842,74642870,74995096,75107345,75225329,75788870,76096769,76161172,76198758,76213857,76424357,77146097,77527406,77616852,77915607,78059969,78078710,78083609,78394865,78725537,78756675,78796557,78927498,79173570,79233099,79286457,79532718,79561157,79603670,80070737,80304854,80307566,80722337,80811689,80913784,81249641,81441686,81781944,82141740,82331369,82640369,82646095,83363476,83382600,83790710,83834370,83836675,83854857,84007120,84182118,84369483,84451808,84508216,84926081,85029857,85159886,85310870,85524374,86070470,86149240,86261921,86289497,86776214,87209270,87617856,87826772,87850049,88074849,88629569,88674249,88889297,88941440,89423328,89571444,90059057,90128814,90946644,90989681,91028007,91039169,91772438,92004687,92201657,92359855,92460449,92756675,92778497,93060449,93515321,93580238,93629679,93694452,93805425,93822641,94073838,94254250,94325457,94508010,95008284,95071743,95105969,95122241,95160710,95524404,95681126,95721449,96543449,96671270,96845944,96917895,96975129,97005857,97926209,98201006,98201972,98202209,98495189,98529014,98568568,98570088,99175314,99265000,99314215,99729208,99773716,...,339134918933142337878653748671315877766953858569807248126829533055689218407928295001611869360713612831398477599808679958188119477268990144201963935115909684624487726129761864344466100207981926401326303201549528892316667447643837734435728406158314015172877791102507102233809649929029373205341664062231839234703859876539142776159014799939911746185789099877697521372760174740862999171132540241594249178493747284791995457263483402448004916300316948401439644307056481582987811894138466019416630909035663052763622279236013869440008623439963898873563700440994563547966334886416293006055659241333345705486899674692421679539964675067848708514948602168928346976013750088741969340274525460213609108866775920811274122966037300038641659327920980767571019528501117589799898012033880764522620291109159895050950401958648988907799159411167531934385231065922590858462264255293696372784381199163610022966367199590204496187724037363349747921582066472340823248190091222232790287402030701750218789540986359147474919675205454989979300582353337826994995346601277263994148989889992414713144024392921973120721478852774777452668711516455094460942829544722203186915672943742955048522698526398431800049522468679653333503266161558544723841038104932358669008861904021312921894974491060695160725361278295444180662682525418453871225970105908211950139254844682328381719037250536005426657151238538810766286853347955567125159458984382969976702627023153841969544656493067589674554859721687451627167716002663476864288668619788068349421090811973203682370417080429459599457354331602988241567524216634961589837215945276099018422810053836173068233245801197664638847968359682523432160210120785920393485888692368124659000376077773269901255186368749608332118963153599264550619673846129225261719858868498930313345602507746314938296820453498385176887371693825920170136058410811495905441531130490176647875940986799397878746491628470848497205988007632007739221961116932250061786439333637845835657177189604661307487987357146135086636589069992902093259560298925757580444929012392715807379204495702570281344191593229447395661476755754238273197186257095792312284157914458961028778468607564879120133190692962863759575593414986996596511085495397099930740418974601702560361493923591055131261269646450098551202312850713208827435628900245406608880831850000915296643719890120434327068304003735535529044911128033793513678072498222212133887581252605803074916112353150315513826281375474989459670765054021413159818627379415611897337151588423101658616375345653232276208172847301577320626765300935649756717649362093225607509717050092456388055653442544277226518765209904289803887069726279942332742354690522999051229357258614211565454649484797685930478452477287825839615943406319538065544550819540330772519984920684886919508536681186512175680343076469873010717260022841560220837109350037343074995543454843859444430929104582622279838646899636365873131022958901516852419173273377845179528620164656389294741183629284045808727925640603231907522427179476694761820323329732746318447594400516295836675284555887643539752270116384514819704120958809569831570079852436583819565576170491820382844701238877203034618386604944497949824099381772}
19880 186907373259319999161824390114374819118155619859665595959909416302753237: {258271,377359,437074,675274,734191,1112552,1208959,1251621,1327471,1468234,1490025,1564279,1589360,1788030,1826476,1907232,2037031,2065544,2145636,2323737,2338642,2508631,3213871,3277065,3495536,3565519,3799591,3916519,3932478,3994954,4865945,4921064,5016754,5314039,5430031,5487442,5536197,5545951,5658105,5839134,5957554,6035312,6571276,6585991,6789726,6816319,6951350,7052242,7087521,7130314,7276111,7390879,7520434,7734751,7754314,7963639,8341620,8420551,8437525,8516937,8534599,8631705,8876311,8897728,8932876,8990071,9207152,9226065,9668744,9671119,9841136,9930500,10009944,10125030,10358046,10549642,10575151,10800032,10816972,10877337,11013514,11025439,11071278,11261187,11563784,11698711,11757292,11810671,11916600,12011065,12016594,12083169,12146119,12150036,12369391,12646361,12703759,12711040,12926311,13009257,13165612,13170634,13406175,13554514,14103052,14145199,14299920,14384725,14413278,15060837,15162442,15253248,15346952,15464959,15620554,15756105,15793279,15925642,16087410,16382794,16763314,16806512,17159904,17203881,17208511,17261670,17265321,17447242,17534505,17750794,17797377,17902474,18066230,18288871,18412448,18703472,18886834,18907326,19038034,19225929,19255039,19304892,19340242,20427991,20534191,20714004,21041406,21064111,21088065,21401534,21679476,21973642,22273354,22363061,22433479,22493936,22951276,23454705,23842642,24102151,24506105,24619831,24661834,24764552,24800812,24884914,25018352,25098865,25305678,25330642,25808900,25854919,26264311,26366479,26672551,26774431,27282751,27860121,28145646,28287442,28670245,28696471,28897279,28949194,29030309,29407326,29697631,30118638,30195511,30294871,30387464,30394159,30415114,30573620,30697121,30739269,30853642,30889519,30970680,31510354,31678351,31776631,31874839,31947230,32266951,32312505,32609932,33035392,33047719,33327754,33491505,33630271,34185897,34305089,34404294,34435276,34466672,34652937,34842015,34846642,34890892,34979479,35724272,35744119,36029671,36219679,36573874,36598831,36688344,36888137,37164816,37165399,37823119,38010391,38077642,38336676,38434642,38775006,38978476,39147442,39220639,40143319,40189806,40601959,40812937,40993234,41058799,41274387,41441529,41471870,41513839,41695351,41785999,41810418,42335242,42499304,42508591,43042732,43426952,43494631,43590677,43676600,43762039,43853030,44028799,44372434,44407461,44721614,45290572,45420874,45638900,45643157,45965239,46052431,46226599,46433345,46574071,47491761,47531212,47681337,47811717,47866831,47991634,48188505,48294151,48549679,48855321,49007270,49058791,49136175,49481071,49766244,49985431,50003337,50403274,50653879,51118905,51152191,51317719,51401072,51454361,51749864,51948974,52304839,52411920,52623636,52659154,52866025,53067442,53119519,53200591,53475154,53766079,54301989,54476632,54491914,54526832,54766680,54806817,54806911,54886471,54965959,55095532,55100242,55394105,55505074,55520359,55720014,55906048,56050977,56386065,56462551,56783242,56852071,56929759,57272552,57317119,57386674,57471559,57520594,57548671,57826206,57856399,57933151,58054766,58085049,58190984,58218597,58417792,58696711,58772671,58789642,58808724,58963410,59000119,59189194,59388754,59581209,59753599,59828551,60145136,60351199,60715474,60722359,60823852,61017991,61286211,61342686,61385911,61388054,61612515,61678951,61706314,61858952,62101642,62188999,62227065,62406511,62426078,62839591,62894304,63126871,63349714,63439230,63555631,63742642,63769039,63888020,63888172,64193911,64431621,64616191,64645225,64722442,65113354,65204510,65314231,65464857,65620709,65632876,65720016,65867479,66073759,66088114,66210919,66333350,66375536,66472926,66552559,66688711,66960151,67174437,67343624,67432399,67632681,67663278,67668512,67962442,68348554,68541394,68564599,69286111,69416359,69591321,69663785,69740719,69769029,69869959,69887242,69934471,70191799,70320031,70407052,70511839,70702999,70756092,70799561,70956871,70988552,71098834,71416714,71559201,71960839,72270799,72367954,72412257,72747442,72959775,73506230,73658937,73733551,73768838,73857292,73895332,73913479,73935018,73944689,73973311,74212820,74259634,74322442,74330791,74508559,74672478,74979439,75380585,75387679,75503671,75531752,75575242,75637714,75761577,75949834,76022071,76127076,76307551,76591231,76665624,77291665,77357505,77486911,77574270,77707951,77823760,77846457,78245412,78364159,78432394,78472519,78510965,78580591,78634519,78903079,79098105,79356754,79592911,79600020,79862121,79909642,80277514,80476639,80681551,80767114,80936105,80966289,81133642,81138391,82047442,82083679,82230559,82328119,82514672,82726149,82745888,82826476,82935380,83308737,83320714,83335111,83562442,83596542,83673224,83716041,83849911,83988799,84218839,84225874,84371312,84447079,84740201,84808519,84898159,84906688,84973221,85165351,85189525,85307314,85666642,85865191,86037271,86204554,86247497,86248827,86755759,86838919,86856875,87042657,87052876,87263057,87331831,87453439,87551730,87697220,88051759,88207476,88325431,88364239,88402354,88518751,88579594,88824319,89055384,89228242,89384839,89604511,89929159,90106999,90318031,90387799,90456702,90461194,90487749,90491911,91069639,91169431,91220914,91268600,91529791,91818151,91829505,91919794,92007151,92193559,92316391,92384434,92442442,92648239,92664584,92749998,92796199,92829006,92884111,93005297,93029191,93079474,93089124,93149300,93285799,93310642,93342031,93388512,93508999,93560552,93646159,93743870,93755212,93861871,93888511,93897076,93945034,94132377,94213158,94531111,94751431,94917726,95012791,95105671,95201465,95242831,95265439,95419276,95421679,95520024,95638759,95665354,95702479,95744599,95834572,95991271,96071191,96090991,96208279,96285031,96360631,96397999,96562591,96690634,96807031,96907471,96948489,96956719,97021065,97069111,97084879,97087954,97116199,97123326,97257994,97283311,97312759,97341919,97413559,97551439,97559697,97694791,97707391,97767561,97769311,97805599,97864639,97944271,97951472,97998991,98009719,98082799,98113039,98142631,98181079,98190511,98314999,98371951,98387914,98454319,98515231,98534239,98619559,98649151,98696671,98755639,98763199,98774359,98778319,98780191,98786959,98798839,98802511,98803519,98916629,98924264,99522456,99743861,...,508702378399713506817980623006973816650430787854710872190244299583533827611892442502417804041070419247097716399713019937282179215903485216302945902673864526936731589194642796516699150311972889601989454802324293338475001171465756601653592609237471022759316686653760653350714474893544059808012496093347758852055789814808714164238522199909867619278683649816546282059140262111294498756698810362391373767740620927187993185895225103672007374450475422602159466460584722374481717841207699029124946363553494579145433418854020804160012935159945848310345550661491845321949502329624439509083488862000018558230349512038632519309947012601773062772422903253392520464020625133112954010411788190320413663300163881216911184449055950057962488991881471151356529292751676384699847018050821146783930436663739842576425602937973483361698739116751297901577846598883886287693396382940544559176571798745415034449550799385306744281586056045024621882373099708511234872285136833349185431103046052625328184311479538721212379512808182484968950873530006740492493019901915895991223484834988622069716036589382959681082218279162166179003067274682641691414244317083304780373509415614432572784047789597647700074283703019480000254899242337817085761557157398538003513292856031969382842461736591042741088041917443166270994023788127680806838955158862317925208882267023492572578555875804008139985726857808216149430280021933350687739188476574454965053940534730762954316984739601384511832289582531177440751574003995215296433002929682102524131636217959805523555625620644189399186031497404482362351286324952442384755823917914148527634215080754259602349868701796496958271952539523785148240315181178880590228833038552186988500564116659904851882779553124412498178444730398896825929510769193837892579788302748395470018403761619472407445230680247577765331057540738880255204087616217243858162296695735264971813911480199096818119737442706272745808982011448011608832941675398375092679659000456768753485765784406991961231981035719202629954883604989353139889340448388636370667393518589073711068806743553855422016287389844171093492215133631357409795779385643688468426236871688441543167702911347318680199786039444295639363390122480494894766628243095649896110628461902553840542240885386582696891904469675147826803469276069813241153443350368109913321247775001372944965579835180651490602456005603303293567366692050690270517108747333318200831371878908704612374168529725473270739422063212484189506147581032119739727941069123417846005727382634652487924563018479848414312259270952365980940147951403474635076474043139838411264575575138684582083480163816415839778147814856434705830604589419913499113532035784498576844035887921317348181974227196528895717678715931738759423915109479307098316826229310496158779977381027330379262805021779768263520514614704809516075890034262340331255664025056014612493315182265789166646393656873933419757970349454548809696534438352275278628759910066767769292930246984583942111775443926068713091888460904847861283640769215042142730484994599119477671391600774443755012926833831465309628405174576772229556181438214354747355119778654875729348364255737730574267051858315804551927579907416746924736149072658}
19881 187633953848089253667692655317540471590737700555498117976207072176123484: {655611,973483,1012911,1390690,1668828,1807351,1986700,2202351,2283095,2384040,2542976,2581930,2682045,2739714,2860848,3058594,3098316,3218454,3507963,3712511,4305931,4369420,5243304,5280898,5898717,5992431,6151330,6329279,6710314,7163323,7381596,7525131,7544140,7757831,7785512,8056258,8214095,8231163,8460151,8610994,8758701,8936331,9052968,9450028,9856914,10118311,10184589,10427025,10578363,10695471,11122160,11166095,11280651,11355916,11508940,11631471,11866114,12085930,12301420,12413125,12512430,12818578,13346592,13399314,13428583,13500040,13521215,13810728,14325202,14454730,14503116,14696615,14705698,14761704,14895750,15014916,15187545,15537069,15824463,15888800,16110892,16192123,16200048,16225458,16365538,16457015,16520271,16606917,17246671,17345676,17628815,17635938,17874900,18024891,18225054,19046059,19066560,19183690,19217704,19682194,19748418,19755951,20081116,20331771,20337664,21008140,21154578,21449880,21619917,21668983,21891058,22725511,22743663,22879872,22938508,22949359,23015560,23020428,23261051,23379340,23430831,23729836,23888463,23890151,24131115,24218818,24574191,25144971,25209768,25634572,25739856,25892505,26170863,26589031,26626191,26853711,27099345,27302314,27618672,27998503,28055208,28117420,28330251,28360989,28443899,28557051,28689095,28905968,28957338,28975378,29010363,29186674,30158338,30878002,30955690,31001015,31071006,31258738,31272940,31503391,31562109,32102301,32261125,32519214,32960463,33410031,33731938,33740904,33865823,33933071,34426914,35386018,35634562,35763963,36992751,37146828,37186891,37201218,37327371,37483391,37527528,37567114,37941671,37958517,37984330,37995963,37998583,38141111,38217025,38668363,38704471,38713350,39190114,39209768,40158184,40762415,40908463,40985692,41067274,41294240,42218469,42431163,42518698,43044095,43083340,43423791,43613615,44110989,44393842,44655340,44755351,44975938,45177957,45281131,45581196,45622671,45763978,45860430,45872392,45944183,46203916,46280463,46323511,46456020,47265531,47382082,47667053,47710978,47920845,48607211,48723095,48914898,48917792,49027183,49553088,49991631,50113483,50392978,50917111,51008303,51115568,51606441,51652914,51700008,51875071,52269963,52336338,52626994,52925314,53124130,53586408,53803415,54126583,54283690,54595750,54860811,54969538,55032516,55255372,55747224,55919783,56613215,57048625,57116463,57505014,57651963,57700114,57850679,58034314,58078594,58162509,58467714,58721163,58925671,59209948,59397271,59414015,59437451,60076234,60284709,61007803,61489851,62114983,62207805,62376658,62715627,63096671,63322348,63502863,63575116,63748956,64251340,64564098,64684703,64687330,65140428,65178178,65499874,65514900,65779545,65949131,66090283,66354992,66558651,66671116,66911339,67082421,67121323,67542743,67682959,67935858,68095790,68131311,68158540,68181311,68458350,68795003,68869415,69040231,69196018,69882560,70164848,71293378,71296818,71590690,71869618,71987451,72071399,72200338,72402652,72738730,72846418,73022240,73075756,73194514,73204618,73214071,73510905,73523239,73824898,74293352,74649366,74734636,75181420,75604911,75835042,76029815,76383658,77048651,77101608,77323690,77446732,77624796,77923461,78393634,78411632,78617880,78935454,78988731,79441612,79601163,79860025,79860215,80212731,80315698,80452138,80730511,81081511,81714948,81737871,81739199,81790248,81808642,81865483,82041095,82150020,82643298,82650363,82736939,82969420,83257611,83580021,83735818,83859072,84179530,84585640,85174863,85533058,85565311,85707538,85877759,85908828,86080011,86280891,86558731,86739309,87058354,87082149,87286476,87626688,88008815,88164658,88184463,88213086,88445115,88630568,88735690,88783791,88898551,89083131,89083991,89565916,90176908,90217704,90552994,91073211,91235778,91395191,91623298,92014029,92082081,92211019,92321615,92369165,92559471,92650183,92766025,92788171,92788428,93025372,93039271,93108863,93152463,93547991,93589714,93639117,94341456,94414690,94667771,95024571,95158845,95412268,95613963,95832030,95832258,95920319,96022303,96549676,96661883,97083663,97279700,97483151,97670031,97806765,98211916,98212471,98449314,98580024,98924554,99132171,99207083,99478411,99500025,99504299,99563304,99673211,99709389,...,763053567599570260226970934510460724975646181782066308285366449375300741417838663753626706061605628870646574599569529905923268823855227824454418854010796790405097383791964194775048725467959334402984182203486440007712501757198634902480388913856206534138975029980640980026071712340316089712018744140021638278083684722213071246357783299864801428918025474724819423088710393166941748135048215543587060651610931390781989778842837655508011061675713133903239199690877083561722576761811548543687419545330241868718150128281031206240019402739918772465518325992237767982924253494436659263625233293000027837345524268057948778964920518902659594158634354880088780696030937699669431015617682285480620494950245821825366776673583925086943733487822206727034793939127514577049770527076231720175895654995609763864638404406960225042548108675126946852366769898325829431540094574410816838764857698118122551674326199077960116422379084067536932823559649562766852308427705250023778146654569078937992276467219308081818569269212273727453426310295010110738739529852873843986835227252482933104574054884074439521623327418743249268504600912023962537121366475624957170560264123421648859176071684396471550111425554529220000382348863506725628642335736097807005269939284047954074263692604886564111632062876164749406491035682191521210258432738293476887813323400535238858867833813706012209978590286712324224145420032900026031608782714861682447580910802096144431475477109402076767748434373796766161127361005992822944649504394523153786197454326939708285333438430966284098779047246106723543526929487428663577133735876871222791451322621131389403524803052694745437407928809285677722360472771768320885343249557828280482750846174989857277824169329686618747267667095598345238894266153790756838869682454122593205027605642429208611167846020371366647996586311108320382806131424325865787243445043602897457720867220298645227179606164059409118713473017172017413249412513097562639019488500685153130228648676610487941847971553578803944932325407484029709834010672582954556001090277883610566603210115330783133024431084766256640238322700447036114693669078465532702639355307532662314751554367020978020299679059166443459045085183720742342149942364643474844165942692853830760813361328079874045337856704512721740205203914104719861730165025552164869981871662502059417448369752770977235903684008404954940351050038076035405775663120999977301247057818363056918561252794588209906109133094818726284259221371548179609591911603685126769008591073951978731886844527719772621468388906428548971410221927105211952614711064709757616896863362708026873125220245724623759667221722284652058745906884129870248670298053676747865266053831881976022272961340794793343576518073897608139135872664218960647475239343965744238169966071540995568894207532669652395280771922057214274113835051393510496883496037584021918739972773398683749969590485310900129636955524181823214544801657528412917943139865100151653939395370476875913167663165889103069637832691357271791925461153822563214095727491898679216507087401161665632519390250747197964442607761865158344334272157321532121032679667982313594022546383606595861400577787473706827891369861125120387104223608987}
19882 188363339017738747494603910965222326708469677691361212565464649957378115: {516542,575737,754718,813481,874148,1350548,1468382,1761577,2086035,2225104,2417918,2483375,2503242,2587381,2654942,2936468,2980050,3128558,3178720,3409657,3576060,3652952,3814464,3872895,4074062,4109571,4131088,4291272,4587891,4647474,4677284,4827681,5017262,5461775,6086581,6427742,6554130,6812323,6991072,7131038,7599182,7833038,7864956,7921347,7989908,8154997,8725417,8953081,9226995,9294037,9430175,9520981,9731890,9747637,9842128,9860857,10033508,10065471,10628078,10860062,10876597,10974884,11072394,11091902,11316210,11438377,11678268,11812535,11915108,12070624,12084387,12916491,13142552,13171982,13445881,13579452,13632638,13778197,13902700,14104484,14175042,14194895,14220277,14260628,14386175,14551081,14552222,14781758,14785371,15040868,15376775,15430057,15469502,15508628,15927278,16683240,16739881,16815491,16841102,16875050,17033874,17069198,17263410,17752622,17795456,17799171,17865752,17980142,18128895,18362581,18414304,18452130,18577717,18768645,19114297,19227867,19337488,19342238,19682272,19861000,20019888,20098971,20138615,20250060,20716092,20819257,21099284,21150302,21487803,21559381,21600064,21633944,21682095,21754674,21770197,22027028,22050878,22058547,22085881,22142556,22343625,22522374,23127568,23397422,23514584,23621342,23833200,23966377,24022130,24033188,24166338,24292238,24300072,24338187,24548307,24738782,25101395,25207081,25292722,25407518,25422080,25852622,26018514,26260175,26331224,26341268,26453907,26539477,26812350,27109028,27251881,27337581,27758581,28206104,28290398,28464937,28599840,28673135,28766581,28769450,28775535,28826556,29224175,29467897,29523291,29622627,29662295,30121674,30324884,30506496,30693904,30929918,31241108,31452217,31512210,31586558,31731867,31851284,32043215,32174820,32765588,32836587,32921557,33526628,33613024,34181881,34308547,34319808,34407762,34417022,34523340,34530642,34894484,35069010,35138411,35146775,35334457,35430037,35501588,35594754,35804948,36132460,36328227,36577742,36824896,37326517,37406944,37773668,37814652,38076068,38170537,38451858,38510078,38609784,38680484,39091175,39101497,40025257,40138343,40576057,40817051,40855982,40953471,41068382,41428008,41851177,41941717,42082812,42122581,42128222,42176130,42803068,43358952,43436007,43463067,43595071,43780011,43915381,43947284,44181817,44546708,44726122,44800981,44866958,44987872,45237507,45614459,45902552,46289977,46317003,46376917,46433535,46606509,46888107,46909410,47672377,47685284,48204302,48233471,48697081,48778821,49012210,49239662,49290037,49323668,49529104,49601624,49769828,49795477,50036704,50197730,50597907,50611356,50632117,50661284,50798581,51232115,51617800,51640371,51709838,52283797,52528622,52732958,53079027,53260981,53345102,53451843,53503657,53548862,53665081,53854175,54067381,54565502,55104937,55720242,55801827,55819175,55894777,56291292,56350671,56574884,56677417,56833081,56976495,57340490,57392942,57754895,57761017,57794558,57898388,58060618,58070025,58373881,58785171,58814652,59359957,59395262,60237276,60391022,60589742,60774928,60788318,60830228,60853237,61147240,61369081,61394242,61478538,61600911,61707284,61779038,61941360,62099881,62462581,62607157,63020708,63356702,63539881,63553262,63749678,63778047,63894460,64390057,64460437,64533902,64600981,64625010,65006683,65090617,65219864,65990581,66070784,66095438,66333481,66470137,66590763,66655508,66983010,67260542,67463907,68220457,68353081,68371794,68610178,68645967,68790645,68808588,68870552,68933344,69011881,69069215,69305874,69468757,69684030,69693284,69781784,69958958,70115317,70818217,71073123,71448544,71488238,71566467,71575081,71700217,71887381,72059342,72383317,72439358,73147748,73197662,73372347,73376688,73723381,73776274,73843477,74012435,74329632,74330798,74439637,74793877,74911381,75378517,75589467,75646238,76020782,76155284,76673352,76869284,76921081,77479371,77550012,77551747,77589817,77956952,78139177,78294884,78441278,78504507,78842581,78940491,79152935,79387971,79468895,79686195,80286638,80314175,80316277,80379612,81203918,81425535,81625874,81683881,81893625,81986468,82079017,82117598,82454307,82548774,82883058,82943740,83027678,83141881,83338895,83390702,83571998,83620836,83706937,84077881,84307381,84625657,84670484,84850837,84998608,85017182,85198175,85295797,85339897,85776937,85992757,86085464,86257521,86550171,86853904,86989262,87051471,87117891,87181354,87331381,87353200,87453097,87524078,87701571,87706060,88012537,88057598,88442197,88711081,88744868,88814922,88825237,89163817,89443228,89569717,89931157,90002581,90073717,90114351,90503315,90581144,90841748,91271977,91277800,91286314,91344695,91370581,91468537,91930478,92104862,92453198,92771881,92866690,93148142,93149557,93418295,93542677,93564987,93976775,94413481,94661881,94855417,94983522,95062424,95319097,95362674,95363881,95408377,95623434,95733662,95983268,96333397,96377010,96588302,96784297,96808415,96846147,97030995,97049257,97099358,97205497,97529299,97710642,97767267,97807417,97936117,97991737,98014540,98117582,98233657,98249811,98272350,98322059,98387881,98403577,98441557,98550997,98620981,98661877,98671381,98722357,98726137,98759977,98774197,98784277,98786617,98800981,98804437,98823481,98962142,99302015,99532488,99970862,...,1017404756799427013635961246013947633300861575709421744380488599167067655223784885004835608082140838494195432799426039874564358431806970432605891805347729053873463178389285593033398300623945779203978909604648586676950002342931513203307185218474942045518633373307521306701428949787088119616024992186695517704111579629617428328477044399819735238557367299633092564118280524222588997513397620724782747535481241854375986371790450207344014748900950845204318932921169444748963435682415398058249892727106989158290866837708041608320025870319891696620691101322983690643899004659248879018166977724000037116460699024077265038619894025203546125544845806506785040928041250266225908020823576380640827326600327762433822368898111900115924977983762942302713058585503352769399694036101642293567860873327479685152851205875946966723397478233502595803155693197767772575386792765881089118353143597490830068899101598770613488563172112090049243764746199417022469744570273666698370862206092105250656368622959077442424759025616364969937901747060013480984986039803831791982446969669977244139432073178765919362164436558324332358006134549365283382828488634166609560747018831228865145568095579195295400148567406038960000509798484675634171523114314797076007026585712063938765684923473182085482176083834886332541988047576255361613677910317724635850417764534046985145157111751608016279971453715616432298860560043866701375478376953148909930107881069461525908633969479202769023664579165062354881503148007990430592866005859364205048263272435919611047111251241288378798372062994808964724702572649904884769511647835828297055268430161508519204699737403592993916543905079047570296480630362357761180457666077104373977001128233319809703765559106248824996356889460797793651859021538387675785159576605496790940036807523238944814890461360495155530662115081477760510408175232434487716324593391470529943627822960398193636239474885412545491617964022896023217665883350796750185359318000913537506971531568813983922463962071438405259909767209978706279778680896777272741334787037178147422137613487107710844032574779688342186984430267262714819591558771287376936852473743376883086335405822694637360399572078888591278726780244960989789533256486191299792221256923805107681084481770773165393783808939350295653606938552139626482306886700736219826642495550002745889931159670361302981204912011206606587134733384101380541034217494666636401662743757817409224748337059450946541478844126424968379012295162064239479455882138246835692011454765269304975849126036959696828624518541904731961880295902806949270152948086279676822529151150277369164166960327632831679556295629712869411661209178839826998227064071568997153688071775842634696363948454393057791435357431863477518847830218958614196633652458620992317559954762054660758525610043559536527041029229409619032151780068524680662511328050112029224986630364531578333292787313747866839515940698909097619393068876704550557257519820133535538585860493969167884223550887852137426183776921809695722567281538430084285460969989198238955342783201548887510025853667662930619256810349153544459112362876428709494710239557309751458696728511475461148534103716631609103855159814833493849472298145316}
19883 189095539517463935578937709014123818154251681517642550128433494526747602: {774813,1092685,1132077,1311222,1688185,1946966,2025822,2202573,2403181,2781380,3196333,3337656,3614702,3626877,3670585,3754863,3973400,3982413,4149277,4387513,4404702,4470075,4566190,4692837,4768080,5085952,5163860,5364090,5479428,5721696,5846605,6111093,6117188,6196632,6329917,6436908,6765781,6971211,7015926,7425022,7480057,7525893,7758613,8611862,8670517,8738840,9641613,9831195,9987385,10486608,10561796,10696557,11398773,11499733,11554477,11749557,11797434,11984862,12302660,12541885,12658558,12858637,13420628,13718605,14326646,14597835,14763192,14893885,15050262,15088280,15464581,15515662,15571024,15632533,15835381,15942117,16112516,16290093,16428190,16462326,16608591,16637853,16920302,16974315,17200117,17221988,17378375,17517402,17630605,17825785,17851513,17872662,18105936,18689317,18801085,18900056,18929701,19385785,19713828,19757973,20236622,20369178,20448957,20575261,20854050,21156726,21262563,21390942,21417853,21828333,22172637,22244320,22332190,22561302,22711832,23017880,23039821,23204253,23262942,23557657,23695837,23732228,23890917,24171860,24560437,24563113,24602840,24680341,24826250,25024860,25261653,25312575,25550811,25603797,25637156,25895115,26374105,26628933,26693184,26700757,26798628,26857166,26869957,26970213,27000080,27042430,27490333,27533785,27621456,27678195,28650404,28909460,29006232,29013357,29393230,29411396,29523408,29791500,29922601,30029832,30041485,30375090,30434137,30501013,31074138,31648926,31725453,31777600,32221784,32384246,32400096,32450916,32632011,32731076,32914030,32926585,33040542,33076317,33213834,33285481,33615517,33783561,33886285,34493342,34605013,34691352,35013817,35096133,35257630,35271876,35338237,35432013,35749800,35941621,36033195,36049782,36201397,36249507,36438357,36450108,37108173,37487197,37754293,37906105,37925197,37939083,37945513,38092118,38111277,38133120,38367380,38435408,38778933,38814073,39027771,39051385,39364388,39496836,39511902,39814105,40001653,40162232,40164733,40218525,40663542,40675328,40956985,41349781,41908285,42016280,42309156,42405397,42435597,42616501,42899760,43154175,43239834,43337966,43401421,43618105,43782116,44091253,44298553,44376985,44756185,45165575,45182511,45451022,45487326,45633181,45759744,45877016,45898718,45900157,46031120,46040856,46394877,46522102,46614901,46758680,46861662,47217085,47268315,47379837,47459672,47595085,47776926,47780302,48262230,48350605,48437636,48612133,49148382,49515757,49943161,50289942,50419536,51269144,51349381,51479712,51611643,51625533,51785010,51795963,52341726,52603321,52603515,53178062,53252382,53392131,53503835,53707422,54198690,54526117,54604628,54841621,54866613,54934105,55237344,55553593,55683385,55925461,55997006,56110416,56234840,56660502,56721978,56728837,56887798,57067381,57114102,57378190,57677787,57765117,57811936,57856537,57914676,57950756,58005277,58020726,58373348,58996237,59606605,59907541,60261733,60316676,60692173,61059061,61283973,61602573,61654585,61756004,61840381,61911380,62002030,62142012,62212285,62498581,62517476,62545880,63006782,63124218,63192333,63264195,63326605,64012357,64204602,64522250,65038428,65920926,66820062,67089183,67239877,67300437,67341637,67463876,67481808,67731646,67806853,67866142,68212333,68449357,68853828,69145717,70178413,70364115,70718605,70772036,71127037,71148781,71269124,71527926,72078697,72306453,72372985,72654541,73518315,73844053,73859493,73985502,74293656,74353117,74373782,74402436,74568793,74654742,74966782,75055056,75134228,75296595,75324781,75587077,75883342,75917034,75968660,75991926,75997166,76037785,76282222,76434050,77056453,77134105,77336726,77408942,77426700,77564757,78146701,78334573,78335641,78380228,78419536,78775885,78792933,79077037,79099437,79258501,79868075,80017653,80316368,80323293,80577913,81026677,81524830,81816926,81848253,81971384,82107157,82134548,82588480,82697437,82745317,83179621,83319385,83357797,83367757,83580363,84436938,84862326,85037396,85067557,85541581,85671721,85726477,85886581,86010735,86088190,86089413,86166680,86691837,86847582,87090927,87116605,87227230,87564037,87645013,88221978,88787684,89092893,89310680,89510702,89617081,89680441,89951876,89988397,89990101,90355914,90562262,90586533,90884613,91162392,91182477,91245342,91434685,91527956,91720860,91744784,91888366,92091363,92169781,92217807,92407832,92560926,92647022,92668557,92912040,93841957,94213813,94531062,94677517,94764164,95035053,95194105,95329893,95334106,95344141,95421956,95624517,95841690,95853493,95930197,96086605,96417181,96800853,96937515,97214422,97446190,97829796,97835584,97868605,98054366,98739577,99106176,99143157,99904921,99938557,99983262,...,1526107135199140520453941869020921449951292363564132616570732898750601482835677327507253412123211257741293149199139059811846537647710455648908837708021593580810194767583928389550097450935918668805968364406972880015425003514397269804960777827712413068277950059961281960052143424680632179424037488280043276556167369444426142492715566599729602857836050949449638846177420786333883496270096431087174121303221862781563979557685675311016022123351426267806478399381754167123445153523623097087374839090660483737436300256562062412480038805479837544931036651984475535965848506988873318527250466586000055674691048536115897557929841037805319188317268709760177561392061875399338862031235364570961240989900491643650733553347167850173887466975644413454069587878255029154099541054152463440351791309991219527729276808813920450085096217350253893704733539796651658863080189148821633677529715396236245103348652398155920232844758168135073865647119299125533704616855410500047556293309138157875984552934438616163637138538424547454906852620590020221477479059705747687973670454504965866209148109768148879043246654837486498537009201824047925074242732951249914341120528246843297718352143368792943100222851109058440000764697727013451257284671472195614010539878568095908148527385209773128223264125752329498812982071364383042420516865476586953775626646801070477717735667627412024419957180573424648448290840065800052063217565429723364895161821604192288862950954218804153535496868747593532322254722011985645889299008789046307572394908653879416570666876861932568197558094492213447087053858974857327154267471753742445582902645242262778807049606105389490874815857618571355444720945543536641770686499115656560965501692349979714555648338659373237494535334191196690477788532307581513677739364908245186410055211284858417222335692040742733295993172622216640765612262848651731574486890087205794915441734440597290454359212328118818237426946034344034826498825026195125278038977001370306260457297353220975883695943107157607889864650814968059419668021345165909112002180555767221133206420230661566266048862169532513280476645400894072229387338156931065405278710615065324629503108734041956040599358118332886918090170367441484684299884729286949688331885385707661521626722656159748090675713409025443480410407828209439723460330051104329739963743325004118834896739505541954471807368016809909880702100076152070811551326241999954602494115636726113837122505589176419812218266189637452568518442743096359219183823207370253538017182147903957463773689055439545242936777812857097942820443854210423905229422129419515233793726725416053746250440491449247519334443444569304117491813768259740497340596107353495730532107663763952044545922681589586687153036147795216278271745328437921294950478687931488476339932143081991137788415065339304790561543844114428548227670102787020993766992075168043837479945546797367499939180970621800259273911048363646429089603315056825835886279730200303307878790740953751826335326331778206139275665382714543583850922307645126428191454983797358433014174802323331265038780501494395928885215523730316688668544314643064242065359335964627188045092767213191722801155574947413655782739722250240774208447217974}
19884 189830566137367955937198411989967095108434298168740989076902960993614308: {337739,456803,615443,813563,853163,1033084,1151474,1406723,1509436,1626962,1643483,1748296,1966833,2116139,2587643,2701096,2920449,2936764,3038733,3097139,3292739,3476725,3523154,3878339,4172070,4384403,4450208,4835836,4966750,5006484,5174762,5309884,5422053,5508443,5872936,5960100,6010139,6125723,6257116,6357440,6454825,6472043,6607053,6819314,6849285,6894443,7152120,7305904,7468883,7628928,7646485,7745790,7812683,8046135,8148124,8193923,8219142,8262176,8582544,8612363,8878139,8954003,8991923,9067739,9175782,9294948,9354568,9655362,9748643,10034524,10523889,10923550,11137533,11887739,12173162,12446339,12557843,12855484,12917793,12929003,13003139,13108260,13202245,13447283,13624646,13927139,13982144,14221763,14262076,15198364,15212339,15378325,15468203,15666076,15729912,15842694,15979816,16233443,16309994,16537549,16775785,16777883,17284403,17450834,17696151,17753339,17906162,17977293,18292739,18364523,18453990,18588074,18860350,18987837,19041962,19463780,19495274,19684256,19721714,19872853,20067016,20130942,20140645,20432339,20503163,20609339,21256156,21489969,21527485,21596843,21720124,21753194,21912923,21949768,22144788,22183804,22298363,22575393,22632420,22647923,22822403,22876754,23273493,23356536,23625070,23830216,24003563,24107339,24141248,24168774,24176483,24642285,24693489,25209803,25312739,25380453,25552643,25832982,26270003,26276103,26285104,26338139,26343964,26440283,26746283,26808993,26891762,27085523,27158904,27265276,27288683,27356339,27556394,27805400,28098443,28194061,28208968,28300163,28350084,28389790,28440554,28521256,28769723,28772350,28970483,29102162,29104444,29204339,29563516,29570742,29665285,29704139,30081736,30214825,30354933,30367739,30553767,30753550,30797363,30860114,30939004,31017256,31281075,31586963,31735089,31783643,31854556,32046445,32086413,32339339,32925203,33366480,33479762,33498285,33630982,33682204,33702323,33750100,33841953,34067748,34138396,34282139,34378523,34526820,34894413,35141953,35338403,35505244,35590912,35598342,35656763,35731504,35813005,35815643,35960284,36136825,36257790,36725162,36764245,36828608,36904260,37155434,37239375,37537290,37925339,38228594,38455734,38674976,38684476,38951243,39364544,39722000,40039776,40142389,40197942,40244339,40277230,40285749,40500120,40563645,40611203,40913845,40946483,41432184,41527213,41638514,41855963,42198568,42217739,42300604,42578363,42967739,42975606,43118762,43200128,43267888,43364190,43509348,43540394,44054056,44089845,44098163,44101756,44117094,44171762,44216483,44285112,44305139,44687250,44806163,44835563,44860501,45044748,45562635,45619057,46063139,46255136,46295363,46611207,46794844,47029168,47242684,47362739,47473389,47506139,47666400,47706563,47932754,47959225,48044260,48066376,48238333,48332676,48362339,48447563,48561083,48576369,48584476,48600144,48646139,48676374,49096614,49205485,49211339,49295843,49371045,49477564,49560813,49820751,49997243,50053139,50136923,50202790,50414162,50585444,50665883,50815036,50844160,51219563,51495203,51705244,51740013,52037028,52317323,52520350,52535339,52662448,52682536,52886445,52907814,53078954,53132243,53267363,53624700,53907997,54073883,54074673,54100643,54218056,54503762,54675162,54727645,55032203,55138043,55517162,55927763,56137139,56412208,56476283,56580796,56788139,56865923,56917739,56929874,57003193,57138177,57199680,57346270,57533162,57538900,57551070,57653112,58406483,58448350,58837739,58935794,59014643,59046582,59245254,59267853,59324590,59768363,59843339,59893283,60243348,60547045,60649768,60995313,61012992,61033163,61082339,61376723,61387808,61401203,61743083,61859836,62059139,62470403,62482216,62903339,62904434,63024420,63173116,63463734,63571643,63619139,63702568,64086430,64349640,64632563,64842803,64859751,65006949,65330843,65377139,65531176,65673174,65843114,65884283,66067739,66341963,66364763,66819083,67053256,67226048,67651139,67829603,68029763,68176533,68230989,68255785,68363762,68384003,68582363,68617094,68639616,68758139,68815524,68834044,68848077,69042683,69046680,69061284,69151763,69304139,69477803,69783153,69788968,70138020,70274339,70276822,70292493,70293550,70530323,70668914,70763963,70848683,70860074,70912139,71003176,71189508,71270363,71605403,71609896,71665389,71670453,71724961,72228083,72264920,72331163,72393345,72413483,72438445,72656454,72721043,72966685,73128323,73155484,73649792,73722573,73753283,73793339,74291339,74350763,74653034,74813888,75272339,75395845,75408083,75434913,75524123,75547336,75629304,75851339,75908843,76042739,76080923,76152136,76341074,76612139,76649843,76903716,77020156,77195005,77219568,77360968,77389225,77508203,77600483,77677515,77729339,77766083,78040643,78146845,78182350,78202994,78512589,78548339,78907139,78960683,79615139,79667723,79767093,79825043,79878573,79912163,80050514,80276686,80344763,80561133,80856853,80942003,81152114,81194963,81298035,81634102,81695483,81711964,81794723,81906942,81910139,82107083,82136764,82856016,82931243,83153843,83359139,83390603,83641163,83702354,83719043,83883434,83995509,84165624,84243323,84245162,84256444,84329845,84334883,84352260,84562523,84638003,84818339,84863243,84990753,85082967,85264139,85331697,85367123,85484339,85606136,85671153,85702739,86019803,86067285,86276339,86445923,86488139,86717904,86809403,86872014,86926134,87031089,87190142,87317339,87358043,87479723,87560022,87830762,87894568,88339283,88363634,88465045,88545683,88571339,88737323,88851443,88914563,89086405,89093416,89227163,89452244,89485883,89601962,89656403,89692739,89733916,89957003,89975744,89992739,90052139,90134963,90439163,90475014,90783443,90885323,90919139,91228918,91253339,91395923,91526339,91558763,91580339,91773083,91805104,91900139,92026043,92345963,92437403,92548283,92579954,92634006,92638283,92753834,92867070,92914139,93003045,93059339,93078563,93174203,93213018,93278483,93372443,93391139,93456323,93557963,93695003,93731243,93758339,93776214,93818820,93917785,93919403,93937139,93998963,94429163,94510173,94562603,94579139,94686327,94879283,94960825,95137739,95275043,95344754,95370568,95454083,95692739,96024323,96104339,96117563,96137339,96306903,96408604,96425339,96466942,96608339,96650003,96696901,96766883,96783375,96941723,96969203,97034339,97103603,97114139,97150763,97318139,97332923,97394162,97429643,97557642,97622339,97957883,97975285,98024420,98139443,98217683,98233403,98252003,98323523,98332139,98374139,98401139,98409083,98479324,98517323,98546339,98571923,98580074,98582243,98647336,98687339,98690483,98735123,98746643,98764403,98794523,98799683,98803763,98817443,98820563,98827739,98881389,99058208,99203248,99539656,99590954,...,2289160702798710780680912803531382174926938545346198924856099348125902224253515991260880118184816886611939723798708589717769806471565683473363256562032390371215292151375892584325146176403878003208952546610459320023137505271595904707441166741568619602416925089941922940078215137020948269136056232420064914834251054166639213739073349899594404286754076424174458269266131179500825244405144646630761181954832794172345969336528512966524033185027139401709717599072631250685167730285434645631062258635990725606154450384843093618720058208219756317396554977976713303948772760483309977790875699879000083512036572804173846336894761556707978782475903064640266342088092813099008293046853046856441861484850737465476100330020751775260831200463466620181104381817382543731149311581228695160527686964986829291593915213220880675127644326025380840557100309694977488294620283723232450516294573094354367655022978597233880349267137252202610798470678948688300556925283115750071334439963707236813976829401657924245455707807636821182360278930885030332216218589558621531960505681757448799313722164652223318564869982256229747805513802736071887611364099426874871511680792370264946577528215053189414650334276663587660001147046590520176885927007208293421015809817852143862222791077814659692334896188628494248219473107046574563630775298214880430663439970201605716576603501441118036629935770860136972672436260098700078094826348144585047342742732406288433294426431328206230303245303121390298483382083017978468833948513183569461358592362980819124856000315292898852296337141738320170630580788462285990731401207630613668374353967863394168210574409158084236312223786427857033167081418315304962656029748673484841448252538524969571833472507989059856241803001286795035716682798461372270516609047362367779615082816927287625833503538061114099943989758933324961148418394272977597361730335130808692373162601660895935681538818492178227356140419051516052239748237539292687917058465502055459390685946029831463825543914660736411834796976222452089129502032017748863668003270833650831699809630345992349399073293254298769920714968101341108344081007235396598107918065922597986944254663101062934060899037177499330377135255551162227026449827093930424532497828078561492282440083984239622136013570113538165220615611742314159585190495076656494609945614987506178252345109258312931707711052025214864821053150114228106217326989362999931903741173455089170755683758383764629718327399284456178852777664114644538828775734811055380307025773221855936195660533583159317864405166719285646914230665781315635857844133194129272850690590088124080619375660737173871279001665166853956176237720652389610746010894161030243595798161495645928066818884022384380030729554221692824417407617992656881942425718031897232714509898214622986706682622598008957185842315766171642822341505154180531490650488112752065756219918320196051249908771455932700388910866572545469643634404972585238753829419595300454961818186111430627739502989497667309208913498074071815375776383461467689642287182475696037649521262203484996897558170752241593893327823285595475033002816471964596363098039003946940782067639150819787584201733362421120483674109583375361161312670826961}
19885 190568429708616209196764965354105920505681045836868228429505431934985730: {1291355,1529759,1549626,1727211,1886795,2185370,2264154,2363459,2440443,2622444,2840123,3376370,3670955,3893932,4051644,4405146,4806362,4903691,5138819,5284731,5562760,6044795,6258105,6392666,6637355,6675312,6766463,7229404,7253754,7341170,7450125,7480811,7509726,7762143,7821395,7946800,7964826,7995923,8185247,8298554,8671391,8775026,8809404,8940150,9132380,9385674,9536160,10171904,10185155,10228971,10327720,10728180,10958856,11443392,11618685,11693210,12222186,12234376,12328713,12393264,12543155,12659834,12873816,13294523,13531562,13655291,13763673,13942422,13982339,14031852,14483043,14850044,14960114,15051786,15196571,15517226,15900203,16069355,16385325,17223724,17341034,17477680,17558639,17698367,17827595,18259743,18276323,18997955,19206047,19283226,19582595,19600991,19662390,19951691,19974770,20327411,20436969,20851439,20973216,21102059,21123592,21265787,21393114,22553339,22797546,22999466,23108954,23499114,23594868,23764041,23969724,24329725,24464991,24605320,24682847,24706811,24956099,25083770,25182323,25317116,25717274,26176251,26321519,26570195,26841256,26859243,27140099,27150155,27437210,27452891,27680985,27729755,27780803,27882111,28004171,28290525,28562943,28653292,29025971,29195670,29242911,29526384,29582571,29787770,30100524,30176560,30196413,30929162,31031324,31142048,31265066,31670762,31884234,32225032,32533043,32580186,32629791,32856380,32924652,32929955,33217182,33275706,33442907,33840604,33948630,34051259,34081595,34315131,34400234,34433939,34443976,34756750,34909163,35034804,35261210,35437605,35651570,35703026,35745324,36211872,36253161,36380555,36613427,36923747,36954395,37378634,37428563,37602170,37800112,37859402,38547299,38673755,38676191,38749473,38771570,39427656,39515946,39818195,40170047,40337643,40473244,40738356,40897914,41150522,41334591,41708100,41763371,41782763,42058079,42102755,42187625,42313452,42409691,42525126,42584685,42660831,42672995,42781884,42835706,43158525,43653243,43656666,44303051,44345274,44356113,44381555,44488640,44664380,44950355,45122604,45309107,45423664,46035760,46079642,46097219,46130325,46290171,46408506,46525884,46809071,47115314,47391674,47440799,47464456,47630207,47781834,48343720,48355595,48867923,49120874,49126226,49205680,49360682,49520771,49652500,50049720,50219643,50446473,50523306,50613539,50625150,51101622,51207594,51274312,51790230,51954179,52099007,52748210,52875755,53068547,53257866,53386368,53397513,53401514,53597256,53714332,53739914,53930123,53940426,54000160,54084860,54327419,54386685,54671939,54980666,55067570,55087743,55127195,55242912,55356390,55582067,55733151,55739747,55818827,56305935,56700659,57300808,57339779,57342891,57683601,57818920,58012464,58026714,58436543,58493555,58671599,58786460,58791947,58822792,59002211,59046816,59053355,59583000,59712059,59845202,60055325,60059664,60082970,60296913,60415845,60576899,60730595,60750180,60868274,61002026,61065347,61846643,61846955,62127779,62148276,62457771,62504927,62658659,63064943,63231805,63297852,63450906,63518795,63555200,64443568,64463409,64631555,64678143,64768492,64800192,64901832,65046285,65066387,65264022,65310591,65462152,65828060,65853170,66081084,66103919,66152634,66175641,66257643,66427668,66570962,66633119,66955487,67030875,67043171,67134911,67231034,67567122,67690847,67772570,68551691,68986684,69210026,69382704,70027634,70192266,70515260,70519871,70543752,70676474,70725995,70864026,70886339,71156063,71499600,71883242,71899131,71923625,72066390,72099564,72402794,72499014,72876714,72900216,73014561,73365167,73538123,73644921,73851551,74216346,74905369,74974394,75304185,75508586,75594731,75621243,75812210,75850394,75878166,75891026,76184236,76222554,76266240,76447571,76734760,76870816,76907747,77324795,77557866,77628146,77665199,77956739,78055542,78102770,78107327,78728776,78749759,78780525,78966395,78993672,79023804,79361721,79479227,79585571,79607387,79618431,79628210,80003306,80012603,80324464,80329466,80437050,81327084,81350656,81755643,81913970,81932003,82012743,82699562,82705811,83275743,83449247,83738099,83816570,84032560,84084923,84618312,84810794,84871194,85056059,85076171,85233002,85394811,85550243,85799520,86019405,86042555,86299743,86308350,86316419,86326605,86479668,86675932,86802842,87097199,87236210,87424031,87564232,87672525,87951203,88182506,88403691,88569873,88597106,88657247,88662239,88753970,88867881,88986885,89512370,89689547,90283379,90331150,90365022,90902044,90974652,91266362,91444355,91519488,91754032,91797436,91800314,92062240,92081712,92597483,92789754,93044204,93229802,93517360,93723324,94356651,94434170,94536630,94759674,94919344,95190170,95195601,95553852,95560604,95568299,95750747,95865299,96129645,96275195,96524460,96701210,96875272,97035731,97224266,97609259,97956191,98296764,98509761,98525531,98764671,99006047,99031514,99886322,...,3052214270398281040907883738041842899902584727128265233141465797501202965671354655014506824246422515482586298398278119623693075295420911297817675416043187161620389535167856779100194901871837337611936728813945760030850007028794539609921555655424826136555900119922563920104286849361264358848074976560086553112334738888852284985431133199459205715672101898899277692354841572667766992540192862174348242606443725563127959115371350622032044246702852535612956798763508334246890307047246194174749678181320967474872600513124124824960077610959675089862073303968951071931697013977746637054500933172000111349382097072231795115859682075610638376634537419520355122784123750798677724062470729141922481979800983287301467106694335700347774933951288826908139175756510058308199082108304926880703582619982439055458553617627840900170192434700507787409467079593303317726160378297643267355059430792472490206697304796311840465689516336270147731294238598251067409233710821000095112586618276315751969105868877232327274277076849094909813705241180040442954958119411495375947340909009931732418296219536297758086493309674972997074018403648095850148485465902499828682241056493686595436704286737585886200445702218116880001529395454026902514569342944391228021079757136191816297054770419546256446528251504658997625964142728766084841033730953173907551253293602140955435471335254824048839914361146849296896581680131600104126435130859446729790323643208384577725901908437608307070993737495187064644509444023971291778598017578092615144789817307758833141333753723865136395116188984426894174107717949714654308534943507484891165805290484525557614099212210778981749631715237142710889441891087073283541372998231313121931003384699959429111296677318746474989070668382393380955577064615163027355478729816490372820110422569716834444671384081485466591986345244433281531224525697303463148973780174411589830883468881194580908718424656237636474853892068688069652997650052390250556077954002740612520914594706441951767391886214315215779729301629936118839336042690331818224004361111534442266412840461323132532097724339065026560953290801788144458774676313862130810557421230130649259006217468083912081198716236665773836180340734882969368599769458573899376663770771415323043253445312319496181351426818050886960820815656418879446920660102208659479927486650008237669793479011083908943614736033619819761404200152304141623102652483999909204988231273452227674245011178352839624436532379274905137036885486192718438367646414740507076034364295807914927547378110879090485873555625714195885640887708420847810458844258839030467587453450832107492500880982898495038668886889138608234983627536519480994681192214706991461064215327527904089091845363179173374306072295590432556543490656875842589900957375862976952679864286163982275576830130678609581123087688228857096455340205574041987533984150336087674959891093594734999878361941243600518547822096727292858179206630113651671772559460400606615757581481907503652670652663556412278551330765429087167701844615290252856382909967594716866028349604646662530077561002988791857770431047460633377337088629286128484130718671929254376090185534426383445602311149894827311565479444500481548416894435948}
19886 191309141103591518108808878466025805215390494540108790510114482362710521: {377473,675478,853249,913606,1230886,1327873,1446349,1627126,1706326,2066168,2155693,2302948,2324439,2509393,2813446,3018872,3253924,3278055,3286966,3396231,3496592,3917713,3933666,4232278,4867415,5064555,5175286,5402192,5431693,5547649,5840898,5873528,6077466,6194278,6585478,6607719,6953450,7046308,7209543,7393153,7737133,7756678,7966093,8344140,8537233,8768806,8879053,8900416,8992849,9036755,9588999,9671672,9674113,9933500,10012968,10349524,10619768,10705079,10844106,10880631,11011755,11016886,11141293,11264589,11415475,11745872,11814349,11920200,11926273,11947239,12020278,12251446,12447831,12514232,12714880,12909650,12930349,12944086,13162539,13214106,13410225,13638628,13698570,13788886,14078511,14304240,14611808,14937766,15257856,15292970,15491580,15625366,16092270,16296248,16387846,16438284,16524352,16670893,17165088,17213953,17224726,17539815,17756278,17908006,17983846,18135478,18294673,18333279,18351564,18483143,18562555,18589896,18709136,18989751,19310724,19497286,20069048,20297343,20540749,20913633,21047778,21176653,21529655,21847100,22275066,22440171,22577679,23275839,23277613,23486099,23775478,24213649,24346324,24892678,25115686,25710968,25835586,25858006,26006278,26011551,26216520,26375053,26404490,26424343,26681233,26783149,26884993,26894566,27249292,27393133,27854278,27964288,28196903,28443526,28524152,28906753,28924839,29207533,29493585,29962155,30138479,30205453,30304849,30396728,30404173,30424678,30756650,30936406,31332152,31459824,31646395,31685388,31787149,31885393,31959632,32089671,32375533,32466886,32619988,33075098,33551570,33555766,33738349,34196319,34499199,34568806,34663431,34901668,35248671,35392302,35506678,35812324,35816615,35954586,36585478,36729046,36907980,37176148,37625655,37720700,37929613,37975674,38083924,38575911,38583553,38789155,38927560,38955649,38990548,39368512,39443428,39745706,40134032,40248913,40261884,40281290,40864678,41006326,41070475,41155815,41164033,41218678,41531399,41618893,41800333,42300755,42512312,42523213,42972673,42979938,43054970,43193686,43440248,43506388,43509649,43793505,43825846,43899536,44289576,44367608,44596726,44681655,44840749,44865023,45150786,45264840,45295846,45631633,45644806,45753508,46068493,46155649,46393743,46546986,46677073,46713072,46897599,47109613,47250140,47506143,47660432,47826351,48007126,48214678,48282496,48311149,48337548,48352966,48651853,48870279,49284570,49386978,49825773,49913559,50138207,50419606,50591555,50625478,50760906,50922945,51105286,51469943,51600351,51665964,52135125,52540006,52552206,52570208,52676278,52687928,52880566,52891815,53219713,53477355,53492566,53554539,53617986,53783524,53785453,53913431,54107149,54171046,54317808,54530552,54577366,54712678,54906349,54985873,55112788,55217503,55610800,55830475,56067951,56196886,56388122,56403255,56417936,56483149,56600326,56700168,56779580,56789103,56881108,56950573,57008939,57042512,57279383,57539446,57544700,57569773,57940966,57954433,58157355,58204324,58208888,58408678,58794349,59097613,59127032,59141484,59273919,59330570,59408278,59850733,60163472,60429650,60709866,60735478,61107534,61346871,61408849,61507100,61594726,61720228,61725783,61775149,61878008,62034512,62065625,62562150,63074539,63150673,63173926,63470178,63567286,63709112,63709451,63787689,63864193,64092890,64172826,64253559,64678678,64710913,65339149,65408593,65484999,65850406,66099073,66373249,66517911,66732960,66959524,66996570,67142915,67261964,67323793,67364408,67404646,67500200,67606075,67683906,68135496,68276792,68564278,68657233,68757046,68887679,69053640,69119463,69378349,69612759,69788826,69961873,70283533,70283906,70672971,70676806,71010488,71087511,71181824,71196684,71313526,71463008,71626010,71631286,71672751,71920568,72273650,72515580,72546349,73450324,73461649,73483075,73528490,73657216,73681311,73689339,73808520,74003053,74041023,74310868,74420113,74478750,75009793,75074580,75476353,75592273,75784959,75850678,75937725,76457188,76618703,76652433,76679149,76811391,76911468,77349952,77368952,77518849,77685345,77902486,78287953,78559213,78667213,78729088,78935953,79122315,79444000,79678849,79886799,80079552,80102271,80284778,80395884,80488678,80554460,80571498,80609871,80766733,80910639,80960615,81000240,81127290,81172813,81222406,81223249,81524353,81827690,81892966,82167853,82285075,82470999,82601355,82702849,82864368,82943149,83034585,83054426,83277028,83371153,83711926,83932753,84397136,84435478,84574849,84601208,84765863,84845713,84980173,85156726,85935478,85951212,86118349,86233355,86237524,86400256,86535776,86728380,86794573,87018696,87040071,87080788,87330433,87533293,87814273,87933613,88108112,88144075,88179690,88196326,88203512,88234188,88343524,88365649,88404493,88432966,88570224,88610278,88940749,89128849,89374500,89499649,89612326,89645953,89671126,89721002,89767803,90006673,90089496,90124455,90184333,90534253,90944653,91125270,91238114,91302411,91503039,91861933,91925293,92051149,92126278,92237773,92510272,92590726,92782093,92929153,93222414,93589688,93934849,94058336,94223533,94485368,94603153,94725478,94798993,94823149,94942849,94946778,95012278,95176359,95230295,95291149,95313793,95332800,95413126,95558099,95709073,95856493,95865508,95918450,96060973,96088520,96132752,96140749,96448333,96476666,96540673,96613249,96665352,96724678,96895126,97056913,97122166,97136653,97152738,97168952,97183633,97200288,97290733,97292278,97350349,97352748,97408813,97563649,97644433,97760749,97835053,97896033,98064013,98193228,98207149,98245453,98309713,98410970,98422678,98473873,98591686,98603149,98742090,98754349,98758273,98773249,98779755,98838913,98847373,98955128,99121626,99228951,99641502,99856443,99994486,...,4578321405597421561361825607062764349853877090692397849712198696251804448507031982521760236369633773223879447597417179435539612943131366946726513124064780742430584302751785168650292352807756006417905093220918640046275010543191809414882333483137239204833850179883845880156430274041896538272112464840129829668502108333278427478146699799188808573508152848348916538532262359001650488810289293261522363909665588344691938673057025933048066370054278803419435198145262501370335460570869291262124517271981451212308900769686187237440116416439512634793109955953426607897545520966619955581751399758000167024073145608347692673789523113415957564951806129280532684176185626198016586093706093712883722969701474930952200660041503550521662400926933240362208763634765087462298623162457390321055373929973658583187830426441761350255288652050761681114200619389954976589240567446464901032589146188708735310045957194467760698534274504405221596941357897376601113850566231500142668879927414473627953658803315848490911415615273642364720557861770060664432437179117243063921011363514897598627444329304446637129739964512459495611027605472143775222728198853749743023361584740529893155056430106378829300668553327175320002294093181040353771854014416586842031619635704287724445582155629319384669792377256988496438946214093149127261550596429760861326879940403211433153207002882236073259871541720273945344872520197400156189652696289170094685485464812576866588852862656412460606490606242780596966764166035956937667897026367138922717184725961638249712000630585797704592674283476640341261161576924571981462802415261227336748707935726788336421148818316168472624447572855714066334162836630609925312059497346969682896505077049939143666945015978119712483606002573590071433365596922744541033218094724735559230165633854575251667007076122228199887979517866649922296836788545955194723460670261617384746325203321791871363077636984356454712280838103032104479496475078585375834116931004110918781371892059662927651087829321472823669593952444904178259004064035497727336006541667301663399619260691984698798146586508597539841429936202682216688162014470793196215836131845195973888509326202125868121798074354998660754270511102324454052899654187860849064995656157122984564880167968479244272027140227076330441231223484628319170380990153312989219891229975012356504690218516625863415422104050429729642106300228456212434653978725999863807482346910178341511367516767529259436654798568912357705555328229289077657551469622110760614051546443711872391321067166318635728810333438571293828461331562631271715688266388258545701381180176248161238751321474347742558003330333707912352475441304779221492021788322060487191596322991291856133637768044768760061459108443385648834815235985313763884851436063794465429019796429245973413365245196017914371684631532343285644683010308361062981300976225504131512439836640392102499817542911865400777821733145090939287268809945170477507658839190600909923636372222861255479005978995334618417826996148143630751552766922935379284574364951392075299042524406969993795116341504483187786655646571190950066005632943929192726196078007893881564135278301639575168403466724842240967348219166750722322625341653922}
19887 192052711236049869204059947010726587946349894363105817263666345770933403: {1013217,1370409,1807897,1846329,2440689,2559489,2582710,2641513,2878685,3059518,3099252,3356509,3454422,3773590,4067405,4220169,4370740,4528308,4726918,4880886,4930449,5022809,5139337,5244888,5680246,5737517,5900499,6348417,6752740,7341910,7762929,7787864,7996729,8103288,8462713,8761347,8807885,8810292,9116199,9291417,9292297,9612724,9781613,9807382,9878217,10277638,10430175,10495889,10569462,10949953,11125520,11635017,12089590,12416875,12516210,12785332,12936905,13153209,13274710,13350624,13532926,14259217,14458808,14507508,14682340,14900250,14961622,15019452,15524286,15642790,15711709,15893600,15929652,15991846,16266159,16370494,16525329,16597108,17048285,17342782,17550052,17560417,17618808,17880300,18030417,18071009,18264760,18377169,18771348,18791149,19072320,19364475,19416129,19821159,20343808,20370310,20457942,20547855,20655440,20683329,21456360,21917712,22406649,22497097,22732393,22886784,22939455,23237370,23386420,23438049,24138405,24444372,24468752,24565409,24581769,24657426,24786528,24938797,24958633,25086310,25206673,25319668,25747632,25837089,26410729,26589046,26597137,26634417,26862009,26975769,27063124,27123997,27203217,27308875,27310582,27415633,27527346,27884844,27964678,28063704,28966086,29245929,29700088,29746673,29920228,30103572,30393142,30432905,31034452,31571667,31800406,32138710,32321969,32332553,32770650,33412599,34061615,34447448,34682068,34955360,35117278,35396734,35655190,35663217,35948897,36205433,36519486,36552646,36612049,37198273,37339017,37673529,37995910,38010217,38412094,38566452,38753379,38783393,38787009,38821657,39009417,39165190,39201982,39324780,39606735,39903382,39949540,40242397,40341849,40654822,40774985,40873938,40920889,41702878,41781417,41946432,42204118,42247184,42531574,42665289,42786228,43010189,43627085,43722737,43958753,44765405,45106678,45595092,45637017,45909449,45998932,46101937,46134975,46217908,46404609,46470185,46998228,47150875,47189736,47528082,47604905,47714233,47939448,48433873,48659450,48700329,48738185,48929982,49210640,49304285,49365694,49379629,49413622,49612647,49912198,50167540,50327355,50333649,50364646,50634232,50932777,51332849,51434548,51736153,51853209,52352502,52643038,53088453,53140390,53260017,53417677,53682512,53718486,53931879,54143257,54280198,54300310,54382985,54874420,54878217,54905782,55093569,55361970,55459510,55561606,55745473,55764222,56008342,56568073,56581050,56963511,56977537,57125886,57191885,57306584,57928877,58051942,58391340,58485822,58943857,59052768,59062675,59165142,59415313,59575540,59618559,59742193,60201048,60353120,60392826,60421935,61287353,61297017,61509489,61828017,61858324,62062648,62134177,62159777,62284096,62530132,62930497,63071329,63116009,63341524,63768468,64450064,64469907,64582455,64790529,65066086,65160372,65259582,65712760,65738769,65849304,65859910,66434364,66551412,66885814,66895089,67229405,67253489,67681208,67697833,67703593,67726179,67897260,67943769,68102518,68163190,68202233,68467209,68630262,68800468,68867878,68887952,68890985,69061369,69513500,69818326,69820479,70069608,70522420,70568797,70875210,70893517,70974475,71101385,71303140,71406052,71490648,71930875,72010689,72322017,72423744,72506322,72529449,72755405,72761110,73226854,73847494,73908790,73926855,74026057,74080467,74368169,74757268,74857126,74942873,75204340,75600224,75629409,75656177,75718804,75938217,76141359,76657929,76883875,77094598,77150285,77178073,77347510,77352382,77498946,77543140,78810009,78828309,78855312,79014417,79031892,79320849,79636390,80238849,80340094,80426979,80675286,80755033,80946488,81256569,81476712,81795828,81866049,81890977,82069017,82301044,82618433,82669182,82674697,83416200,83526742,83565526,83699405,84077455,84093529,84116158,84205510,84295329,84375250,84582183,84626904,84819382,84900489,84960553,85022833,85050252,85162589,85169370,85321662,85345990,85563768,85671412,86309169,86317050,86585737,86594993,86884649,86911449,87306486,87313332,87613017,87960109,88524527,88606102,88671217,88690548,88712226,88763110,88926313,88977280,88995855,89112417,89328760,89677313,89900710,90245208,90484177,90618214,90644475,90847328,91064799,91103217,91661301,91812905,92071520,92159284,92194438,92260650,92392089,92580342,92817012,92888585,93051768,93067897,93618142,93701033,93843225,94230628,94560349,94697009,94760889,94783348,94881598,94928912,95205267,95260414,95350929,95563668,95571485,95875033,95949953,96139335,96259239,96687440,96711190,97018017,97513037,97735846,98241748,98252452,98411360,98721364,98775609,99016393,99041542,99305000,...,6867482108396132342042738410594146524780815636038596774568298044377706672760547973782640354554450659835819171396125769153309419414697050420089769686097171113645876454127677752975438529211634009626857639831377960069412515814787714122323500224705858807250775269825768820234645411062844807408168697260194744502753162499917641217220049698783212860262229272523374807798393538502475733215433939892283545864498382517037908009585538899572099555081418205129152797217893752055503190856303936893186775907972176818463351154529280856160174624659268952189664933930139911846318281449929933372627099637000250536109718412521539010684284670123936347427709193920799026264278439297024879140559140569325584454552212396428300990062255325782493601390399860543313145452147631193447934743686085481583060894960487874781745639662642025382932978076142521671300929084932464883860851169697351548883719283063102965068935791701641047801411756607832395412036846064901670775849347250214003319891121710441930488204973772736367123422910463547080836792655090996648655768675864595881517045272346397941166493956669955694609946768689243416541408208215662834092298280624614535042377110794839732584645159568243951002829990762980003441139771560530657781021624880263047429453556431586668373233443979077004688565885482744658419321139723690892325894644641291990319910604817149729810504323354109889807312580410918017308780296100234284479044433755142028228197218865299883279293984618690909735909364170895450146249053935406501845539550708384075777088942457374568000945878696556889011425214960511891742365386857972194203622891841005123061903590182504631723227474252708936671359283571099501244254945914887968089246020454524344757615574908715500417523967179568725409003860385107150048395384116811549827142087103338845248450781862877500510614183342299831969276799974883445255182818932792085191005392426077119487804982687807044616455476534682068421257154548156719244712617878063751175396506166378172057838089494391476631743982209235504390928667356267388506096053246591004009812500952495099428891037977048197219879762896309762144904304023325032243021706189794323754197767793960832763989303188802182697111532497991131405766653486681079349481281791273597493484235684476847320251952718866408040710340614495661846835226942478755571485229969483829836844962518534757035327774938795123133156075644594463159450342684318651980968088999795711223520365267512267051275151293889154982197853368536558332992343933616486327204433166140921077319665567808586981600749477953593215500157856940742691997343946907573532399582387818552071770264372241858126982211521613837004995500561868528713161957168832238032682483090730787394484486937784200456652067153140092188662665078473252222853977970645827277154095691698143529694643868960120047867794026871557526947298514928467024515462541594471951464338256197268659754960588153749726314367798101166732599717636408930903214917755716261488258785901364885454558334291883218508968493001927626740494222215446127329150384403068926861547427088112948563786610454990692674512256724781679983469856786425099008449415893789089294117011840822346202917452459362752605200087263361451022328750126083483938012480883}
19888 192799151061276738760091641666989995945847532714486808168483556832268058: {754946,932527,1350956,1706498,1827212,2461772,2655746,2705887,2892698,2941111,3254252,3412652,3527911,3762127,3874065,4132336,4311386,4463047,4589277,4605896,4648878,5018786,5181633,5463425,5626892,5660385,6037744,6088447,6204007,6507848,6556110,6573932,6780727,6792462,6814381,6993184,7090377,7321329,7835426,7867332,8157511,8385967,8440925,8464556,8520369,8955847,9069607,9734830,9863911,10129110,10350572,10804384,10863386,10992511,11012865,11095298,11329687,11554111,11681796,11747056,12015905,12154932,12388556,12651457,13005847,13170956,13215438,13906900,14092616,14419086,14711073,14786306,15416457,15434911,15474266,15513356,15854193,15932186,15981665,16309567,16688280,16853887,17074466,17537612,17612911,17758106,17800832,17829127,17985698,18073510,18134385,18352925,18368407,18476047,18774315,19177998,19227511,19343344,19348226,19762111,19867000,19912065,20025936,20299389,20507527,20699048,20746385,21239536,21410158,21688212,21761262,21937565,22023510,22033772,22198087,22282586,22350375,22442433,22529178,22722607,22830950,23286429,23464185,23491744,23628698,23840400,23852546,23894478,23987769,24040556,24181687,24502892,24555741,24895662,25028464,25318207,25429760,25819300,25860698,25888172,25987577,26014173,26325078,26343847,26428212,26820450,27277256,27362287,27397140,27577772,28157022,28574911,28608480,29223616,29233025,29277487,29577511,29875532,29876887,30141517,30515712,30555465,30585940,30686913,30870127,30983160,31228769,31250732,31649585,32184540,32592496,32737447,32775692,32876568,33048704,33321727,33341786,33828905,34193287,34289767,34330176,34427906,34449452,34674967,34856055,34963111,35079630,35441911,35512556,35728327,35816012,35967692,36270956,36589346,36666558,36703128,36966286,36986139,37056367,37125110,37179792,37339111,37400285,37418272,37629465,37979502,37996327,38621448,38793065,38994572,39021967,39883569,40138096,40589911,40594686,40965873,41081498,41291019,41827266,41947017,41956111,42095556,42137047,42227407,42353306,43059310,43352585,43449129,43694200,44304953,44550132,44880342,45155358,45589713,45782767,46393111,46551678,46555226,46826911,46972198,47550956,47689111,47700609,48208065,48427298,48692648,48714247,49155975,49391911,49785356,49936925,50064967,50143261,50231372,50650111,51421936,51671172,51716012,52012556,52023102,52433040,52675917,52750106,52808980,52848686,53095101,53362466,53482785,53566298,53769986,53789132,54167167,54304817,54498584,54779229,54786266,54828969,55223069,55520911,55708556,55928576,56150767,56393806,56853847,56887052,56931607,56993865,57048304,57498665,57618141,57705247,57772385,57813506,57849678,57859111,58415066,58747785,58802973,58987170,59221057,59381911,59532607,59855073,59908087,59924310,60276958,60410906,60609698,60653647,60793456,60808346,60849356,60982233,61097527,61310907,61392007,61513300,61872812,62123167,62554317,62558407,62664304,62702911,62709425,62919648,63080897,63292790,63306177,63370776,63563887,63574298,63635167,63715873,63770786,63797361,63919264,64179342,64293185,64484911,64625527,64751066,64933772,65045647,65185111,65239976,65257049,65393767,66084607,66150196,66358927,66563911,67103140,67111532,67444687,67476698,67660017,68047327,68379607,68392638,68593025,68998398,69137612,69326862,69803336,70495073,70497342,70784604,70828177,71013356,71292123,71624648,71633230,71909172,71915887,72288487,72989175,73147807,73170956,73394973,73458092,73632511,73752967,73813087,73815960,74048541,74120433,74352296,74469425,74528911,74542637,74647207,74868297,75251310,75441400,75546969,75859226,75871927,75951348,76101607,76167848,76273111,76670767,76952647,77151822,77167106,77288527,77322905,77578310,77787487,77855120,77911298,77981096,78162665,78226111,78528753,78606127,78737024,78886856,78929047,78964557,79142887,79176905,79302511,79491412,79710585,80268064,80350111,80497826,80523768,80562580,80577729,80964847,81420297,81450465,81718687,81729356,81768367,82012652,82140950,82311630,82328066,82358673,82358911,82437356,83042955,83062798,83177767,83189265,83225287,83237786,83342409,83414647,83555911,83600666,83646333,83696527,84012513,84022111,84344167,84601510,84843127,84871575,85024624,85046426,85377511,85684447,85688829,85945346,85959876,86000585,86109940,86245111,86387372,86880496,86891875,86959927,87012776,87019298,87077913,87166207,87370687,87587010,87651692,87728733,87799072,88091911,88153025,88366087,88579152,88598287,88735216,88747713,88751647,88865911,89128925,89193452,89257565,89363310,89681498,89730046,89901127,90044407,90080047,90301572,90529680,90589239,90591692,90674911,91263266,91289612,91507016,91511911,91609327,92136986,92149111,92311298,92668087,92787486,92846287,93093972,93108727,93194911,93354146,93421567,93426144,93446585,93616111,93795198,93807127,93968047,94000081,94005425,94219226,94359007,94500280,94610647,94648505,94709287,94733767,94782511,94903111,95012286,95320864,95412367,95434687,95523247,95652702,95739607,95948767,96014252,96150727,96402511,96429356,96564992,96622298,96675096,96705932,96903487,96928925,97100911,97148647,97303706,97599129,97617511,97644367,97710247,97740558,97889373,97897087,97990111,98045911,98067727,98360407,98411167,98443567,98569140,98619967,98649847,98683327,98728687,98755687,98773956,98783911,98789865,98811847,98832511,98845111,98874487,99651546,99827118,...,9156642811194843122723651214125528699707754181384795699424397392503608897014063965043520472739267546447758895194834358871079225886262733893453026248129561484861168605503570337300584705615512012835810186441837280092550021086383618829764666966274478409667700359767691760312860548083793076544224929680259659337004216666556854956293399598377617147016305696697833077064524718003300977620578586523044727819331176689383877346114051866096132740108557606838870396290525002740670921141738582524249034543962902424617801539372374474880232832879025269586219911906853215795091041933239911163502799516000334048146291216695385347579046226831915129903612258561065368352371252396033172187412187425767445939402949861904401320083007101043324801853866480724417527269530174924597246324914780642110747859947317166375660852883522700510577304101523362228401238779909953178481134892929802065178292377417470620091914388935521397068549008810443193882715794753202227701132463000285337759854828947255907317606631696981822831230547284729441115723540121328864874358234486127842022727029795197254888658608893274259479929024918991222055210944287550445456397707499486046723169481059786310112860212757658601337106654350640004588186362080707543708028833173684063239271408575448891164311258638769339584754513976992877892428186298254523101192859521722653759880806422866306414005764472146519743083440547890689745040394800312379305392578340189370970929625153733177705725312824921212981212485561193933528332071913875335794052734277845434369451923276499424001261171595409185348566953280682522323153849143962925604830522454673497415871453576672842297636632336945248895145711428132668325673261219850624118994693939365793010154099878287333890031956239424967212005147180142866731193845489082066436189449471118460331267709150503334014152244456399775959035733299844593673577091910389446921340523234769492650406643583742726155273968712909424561676206064208958992950157170751668233862008221837562743784119325855302175658642945647339187904889808356518008128070995454672013083334603326799238521383969397596293173017195079682859872405364433376324028941586392431672263690391947777018652404251736243596148709997321508541022204648908105799308375721698129991312314245969129760335936958488544054280454152660882462446969256638340761980306625978439782459950024713009380437033251726830844208100859459284212600456912424869307957451999727614964693820356683022735033535058518873309597137824715411110656458578155315102939244221521228103092887423744782642134332637271457620666877142587656922663125262543431376532776517091402762360352496322477502642948695485116006660667415824704950882609558442984043576644120974383192645982583712267275536089537520122918216886771297669630471970627527769702872127588930858039592858491946826730490392035828743369263064686571289366020616722125962601952451008263024879673280784204999635085823730801555643466290181878574537619890340955015317678381201819847272744445722510958011957990669236835653992296287261503105533845870758569148729902784150598085048813939987590232683008966375573311293142381900132011265887858385452392156015787763128270556603279150336806933449684481934696438333501444645250683307844}
19889 193548471576244005256819833994155935058164078604882586264823742114060175: {19889,1132419,1688695,2026434,2284015,2403907,2559747,2740818,3077215,3615794,3692658,3714007,3983619,4030159,4067815,4265815,4339047,4881378,5118978,5165420,5283026,5694367,5757370,5936047,6119036,6198504,6412519,6467079,6713018,6908844,6973317,7033615,7528179,7547180,8075287,8134810,8217415,8440338,8741480,9056616,9453836,9761772,9782599,9834165,9860898,10045618,10188693,10278674,10456207,10489776,10496947,10580695,10932391,11360492,11475034,11753139,11800998,12331039,12696834,12862531,12938215,13505480,14602245,14683820,15193665,15485695,15525858,15575728,15993458,16206576,16295079,16463695,16642947,16925426,17383625,17522694,17615770,17620584,17856919,18111667,18232398,18582834,18584594,19225448,19391695,19563226,19614764,19756434,19823157,19872439,20555276,20860350,20991778,21138924,21356647,21424339,21628629,21899906,21922015,21972247,22179459,22251040,23211399,23270034,23564791,23867599,23898279,23899807,24152047,24179180,24833750,25032420,25570664,25611699,25873810,26306418,26549420,26581999,26637159,26701248,26978547,27005119,27065852,27110265,27542215,27592147,28518434,28766997,28917616,29015016,29022339,29031847,29364680,29800500,29923244,30038904,30050695,30180931,30628615,31048572,31285580,31423418,31787200,31859304,31983692,32115237,32274125,32360215,32532318,32641893,32740988,32766547,33035265,33050658,33194216,33232447,33423879,33793767,33879511,34096570,34246425,34472215,34685564,35100104,35120834,35155159,35237616,35443047,35760600,35778819,35841717,36060834,36142018,36529520,36620839,36754338,37343493,37344415,37542696,37582298,37957039,38144640,38156527,38211199,38232425,38457799,38728950,38787331,38791047,38832258,39063415,39216727,39487617,39642318,40178179,40230675,40483519,40687616,40740620,40915884,40969615,41095710,41310880,41362387,41366658,42235533,42606067,42648727,42788239,42912720,43061815,43208119,43835424,44390695,44770015,44813298,44959615,44994194,45108247,45338695,45464786,45773568,45834919,45878910,46474740,46772840,46818547,46876098,47603239,47686261,48276810,48626899,48743215,48888744,48937504,49130371,49130818,49163538,49314852,49573056,49877594,49917266,50012679,50172620,50413346,50639336,51338047,51495264,51641859,51674178,52619445,52821458,53178092,53194274,53268834,53724018,53951538,54126248,54247994,54406434,54613639,54617750,54621164,54831266,54884019,54999837,55054692,55449429,55593319,55687665,55769688,55929356,56127408,56969253,57084979,57570847,57657619,57874111,57932172,57934759,58023031,58491858,59400176,59438695,59493346,59840456,60207144,60574327,60786284,60865810,60892029,61077919,61293559,61622247,61842679,62068904,62231695,62432911,62671567,62740899,62789215,63067219,63143334,63529959,63600812,63904207,64277420,64588965,64643938,64645015,64665106,64744039,65015695,65058259,65079559,65514067,65541300,66011225,66091267,66646867,66825198,67236415,67320513,67570159,67733037,68123230,68233459,68894896,69025999,69364136,69635695,69827517,69832839,69910720,70234556,70458297,70524007,70534147,70793468,71108815,71169199,71310380,71326434,71897794,72100591,72410866,72438487,72640947,73038972,73105292,73224098,73380019,73809487,74396546,74549827,74591647,74678034,75347058,75663859,75991820,76020434,76061695,76136179,76463047,76824188,76891625,77079859,77132904,77341015,77506758,77566786,77574018,77643314,78018834,78034653,78123139,78330380,78403964,78549727,78649560,79125159,79213470,79273029,79806764,79899080,80043699,80068639,80111347,80349447,80484794,80602639,80654979,80683698,81051379,81167215,81309644,81549970,81747876,81841778,82179399,82528759,82626799,82687745,82770451,83393431,83405756,83562834,83878925,83889415,83892864,84408236,84494368,84590709,85063148,85330578,85572456,85913047,86020378,86305711,86422015,86720259,86774517,86893447,87254170,87445474,87591031,87622599,87671839,87917506,88213591,88480755,88766695,89530810,89644519,89886465,90105367,90213356,90415437,90616359,90819139,90914547,91035871,91190184,91212519,91274034,91463695,91818898,91822615,91997864,92059411,92198227,92203874,92269950,92435816,92809218,92940370,93107719,93955507,93996456,94121167,94301750,94379472,94939185,95056164,95209810,95361447,95428466,95556499,95656179,95878896,95959831,96269013,96447379,96867746,97126599,97318900,97400658,97476370,97629367,97859964,98421280,98463607,98608570,98731388,98759258,98769679,98827244,99225294,99364265,99541939,99824396,...,13734964216792264684085476821188293049561631272077193549136596088755413345521095947565280709108901319671638342792251538306618838829394100840179539372194342227291752908255355505950877058423268019253715279662755920138825031629575428244647000449411717614501550539651537640469290822125689614816337394520389489005506324999835282434440099397566425720524458545046749615596787077004951466430867879784567091728996765034075816019171077799144199110162836410258305594435787504111006381712607873786373551815944353636926702309058561712320349249318537904379329867860279823692636562899859866745254199274000501072219436825043078021368569340247872694855418387841598052528556878594049758281118281138651168909104424792856601980124510651564987202780799721086626290904295262386895869487372170963166121789920975749563491279325284050765865956152285043342601858169864929767721702339394703097767438566126205930137871583403282095602823513215664790824073692129803341551698694500428006639782243420883860976409947545472734246845820927094161673585310181993297311537351729191763034090544692795882332987913339911389219893537378486833082816416431325668184596561249229070084754221589679465169290319136487902005659981525960006882279543121061315562043249760526094858907112863173336746466887958154009377131770965489316838642279447381784651789289282583980639821209634299459621008646708219779614625160821836034617560592200468568958088867510284056456394437730599766558587969237381819471818728341790900292498107870813003691079101416768151554177884914749136001891757393113778022850429921023783484730773715944388407245783682010246123807180365009263446454948505417873342718567142199002488509891829775936178492040909048689515231149817431000835047934359137450818007720770214300096790768233623099654284174206677690496901563725755001021228366684599663938553599949766890510365637865584170382010784852154238975609965375614089232910953069364136842514309096313438489425235756127502350793012332756344115676178988782953263487964418471008781857334712534777012192106493182008019625001904990198857782075954096394439759525792619524289808608046650064486043412379588647508395535587921665527978606377604365394223064995982262811533306973362158698962563582547194986968471368953694640503905437732816081420681228991323693670453884957511142970459938967659673689925037069514070655549877590246266312151289188926318900685368637303961936177999591422447040730535024534102550302587778309964395706737073116665984687867232972654408866332281842154639331135617173963201498955907186431000315713881485383994687893815147064799164775637104143540528744483716253964423043227674009991001123737057426323914337664476065364966181461574788968973875568400913304134306280184377325330156946504445707955941291654554308191383396287059389287737920240095735588053743115053894597029856934049030925083188943902928676512394537319509921176307499452628735596202333465199435272817861806429835511432522976517571802729770909116668583766437017936986003855253480988444430892254658300768806137853723094854176225897127573220909981385349024513449563359966939713572850198016898831787578178588234023681644692405834904918725505210400174526722902044657500252166967876024961766}
19890 194300683819767450504959738057869337475855354137582996737206550328419711: {456941,575969,734561,932621,1407149,1509892,1762289,1865054,1919921,2234801,2509901,2588429,2701912,2706161,2745389,2980589,3039651,3215501,3411041,3412996,3567329,3654424,3762509,3801521,4111227,4502369,4923544,5311492,5411774,5423691,5510129,5538987,5741921,5785396,5882222,6011981,6127601,6456775,6474029,6508504,6589361,6781421,6819809,6825304,7011629,7055822,7322067,7471181,7524254,7585889,7648795,7678467,7748130,7815089,7924539,8158349,8196449,8264672,8424881,8615021,8622772,8636055,8729009,8880881,8926094,8956769,8994701,9070541,9178554,9211792,9297756,9433975,9449261,9676109,9751661,9864929,10037572,10069527,10363266,10768481,10926850,11031149,11253784,11320770,11592689,11817295,11891441,12075488,12152429,12176894,12202215,12338609,12408014,12561761,12660507,12673229,13007201,13015696,13112220,13118381,13147864,13561454,13584924,13599329,13628762,13931501,13986368,14042081,14180754,14200615,14373389,14642658,14704049,14791347,15068427,15418011,15436529,15473069,15655649,15670852,15734664,15983789,16238561,16315022,16347629,16674401,16746929,16771934,16822267,16881850,16929112,17040738,17212551,17289869,17701497,17911694,18139214,18354775,18370349,18478001,18728909,19045251,19265249,19443629,19469660,19727822,19799789,20258220,20438861,20545121,20615921,20701144,20722061,20969441,21608768,21726772,21919949,21985022,22025730,22190596,22374331,22659374,22934369,23108222,23288787,23363592,23494112,23990187,24031810,24115121,24218861,24287981,24309864,24518455,24777112,25302914,25320941,25388139,25423841,25694095,26011694,26039729,26284041,26341912,26380769,26423655,26430876,26448881,26550989,26687021,26754989,27348597,27399089,27466721,27770669,27813800,27874251,27876891,27972941,28185232,28410209,28838172,28913069,28979981,29044939,29280689,29344839,29422146,29572612,29614049,29634651,29880161,30212081,30223975,30377741,30712591,30832914,30869822,30906509,30948532,31026712,31071329,31268849,31290525,31487667,31597409,31695821,31708386,31864372,31892429,31963330,32578289,32619134,32849859,33066029,33186775,33325421,33376560,33707774,33810401,33832315,34148932,34197089,34390001,34678829,34710881,34905051,34998989,35075224,35225822,35445869,35516212,35573261,35601664,35658254,35764109,35971396,36147020,36208301,36268770,36398189,36619361,36705850,36736814,36777101,36906727,36952094,37091981,37250625,37343309,37404055,37548630,37813169,38000609,38031821,38187761,38312369,38355996,38455022,38686688,38696452,38810715,39026381,39106975,39242849,39459627,39524222,39734000,39824130,39951341,39979615,40051872,40166129,40349921,40594529,40598778,40625069,40926235,41015054,41051789,41234189,41398096,41492770,41537549,41688929,41870321,41960909,42322541,42479072,42593009,42683021,42777651,42820316,42862829,43072241,43356955,43376424,43519661,43522524,43875130,43935629,44047020,44054189,44067544,44202209,44309419,44320481,44396174,44565172,44700750,44821709,44884866,45058356,45437681,45445214,45661900,45817229,46166381,46224461,46398509,46514381,46572858,46861229,46928370,46983488,47135127,47178161,47257396,47360467,47379341,47680800,47705092,47723309,47788956,47809121,47975538,48081112,48363374,48379361,48464621,48663281,48719969,48798477,48974669,49005784,49111482,49228721,49313261,49397729,49575987,49650701,49791324,50014961,50056928,50154701,50238449,50636414,50683889,50822669,50859520,50925775,50933549,51144855,51513569,51596141,51638600,51721396,51761069,51776344,51975154,52028346,52360399,52650156,52681251,52687694,52856424,53232461,53286509,53637041,53640900,53798369,54091251,54173681,54200429,54213027,54310291,54360749,54554512,54724574,54794280,55052141,55131507,55131569,55155544,55316621,55553969,55685549,56236001,56314044,56373447,56808881,56886701,56964449,57149822,57216960,57712301,57737969,57891809,58093425,58096481,58248387,58275149,58447232,58466050,58554974,58859441,58935341,59112161,59155022,59389229,59463477,59565041,59751064,59753774,59865521,59915489,60283034,60693619,60883469,61031424,61055921,61110930,61171880,61178861,61373826,61399649,61424141,61546481,61643565,61740254,61966320,62049987,62227889,62457538,62501464,62566241,62590349,62715775,62734829,63166541,63299170,63429089,63571889,63595661,63714401,64369080,64422641,64657121,64727309,65077169,65184992,65263627,65355761,65402081,65425229,65474894,65551384,65753136,66024269,66097408,66115949,66230369,66367409,66390221,66472615,66595169,66643454,66683572,66708749,66844781,66912689,67219947,67475789,67491291,67587809,67657810,67744301,68122721,68197179,68276455,68386574,68410541,68579534,68660352,68675021,68718989,68818365,68850701,68855812,68898904,69331181,69349934,69396401,69439841,69712110,69911695,69915569,69926222,70151981,70159260,70237709,70314147,70366061,70502179,70558049,70855409,70883822,70940081,71003501,71025112,71109041,71298509,71424461,71456654,71632024,71696369,71925389,71935384,72008429,72256781,72318689,72415215,72421709,72541912,72565601,72606641,73178692,73218401,73333116,73406256,73696227,73745307,73782881,73883021,73932572,73962989,73972278,74112734,74122541,74250220,74359584,74380721,74440109,74479661,74550151,74558669,74657249,74676941,74678222,74800570,74816391,74834189,74836544,74875899,75030029,75205601,75258930,75496781,75612749,75620019,75939761,75959004,75982855,75992654,76073741,76700081,76737761,76963169,77121967,77242896,77299121,77511267,77586130,77632481,77761421,77989144,78043934,78127661,78617009,78635021,78788611,78886349,78957869,78993581,79153889,79171661,79232187,79331249,79501015,79701101,79753649,79767138,79791411,79903251,80276192,80346775,80361389,80378609,80430221,80498131,80586027,80618849,80738381,80823521,80881339,80927307,81027041,81179822,81189372,81195761,81229409,81371991,81580781,81609651,81779981,81926625,81931746,82043789,82162996,82191281,82223969,82246899,82370669,82386929,82582038,82726541,82758701,83237261,83312359,83395181,83426669,83654532,83894034,83912222,84049709,84126689,84191112,84274094,84356429,84371681,84454814,84706612,84855521,84870509,84900461,84960269,85034849,85301681,85345901,85404749,85448801,85609709,85784141,85885361,86000561,86100941,86118620,86484449,86526701,86681009,86705170,86820449,86848241,86898258,86972909,87383789,87388400,87397361,87465101,87559601,87586529,87707309,87737787,87793195,88118369,88197041,88392461,88491835,88495949,88609906,88777901,88892129,88955309,89100264,89137975,89181101,89240019,89268209,89367281,89527181,89673581,89697869,89734241,89760684,89927009,90010459,90034541,90058349,90129581,90176909,90212321,90235889,90310716,90631649,90860129,90961901,91096589,91179426,91241201,91296461,91298715,91329521,91381615,91471949,91565534,91569761,91602221,91656161,91943981,92017649,92163809,92174189,92390321,92481869,92512241,92592881,92712881,92786222,92812001,92831729,92871089,92920109,93007841,93103356,93110452,93152621,93219569,93352289,93502049,93585389,93631409,93653822,93804461,93944396,93983501,94045409,94254689,94271921,94374641,94476209,94526561,94634669,94651181,94715001,94798349,94870961,94919009,94926989,94974701,94989775,95092721,95101912,95346029,95378222,95383649,95401218,95458289,95502689,95539469,95670221,95755949,95826509,95889329,95972081,96030235,96094049,96107441,96173921,96187121,96233069,96400301,96416130,96475661,96574349,96586541,96647021,96659021,96718541,96854596,96875249,96920561,96926189,96965907,96997659,97020641,97171169,97218221,97295201,97335521,97385201,97385296,97399949,97428494,97429229,97453409,97598861,97607981,97635149,97639649,97662029,97732301,97783661,97878881,97895009,97912975,97914989,98004955,98008109,98011889,98023181,98063969,98089421,98118029,98173709,98204129,98250161,98272589,98282081,98288369,98311950,98319329,98346509,98352461,98387501,98404589,98456801,98464781,98477921,98516141,98580401,98596109,98609261,98620001,98638829,98640881,98644961,98668769,98670701,98696909,98723249,98733281,98744621,98774861,98783822,98784689,98796749,98799341,98804429,98811821,98832269,98841521,98852849,98860589,98864609,98878061,98879309,98885069,98889569,98894189,98899181,98902541,98903009,99570712,99758455,99873850,...,20602446325188397026128215231782439574342446908115790323704894133133120018281643921347921063663351979507457514188377307459928258244091151260269309058291513340937629362383033258926315587634902028880572919494133880208237547444363142366970500674117576421752325809477306460703936233188534422224506091780584233508259487499752923651660149096349638580786687817570124423395180615507427199646301819676850637593495147551113724028756616698716298665244254615387458391653681256166509572568911810679560327723916530455390053463587842568480523873977806856568994801790419735538954844349789800117881298911000751608329155237564617032052854010371809042283127581762397078792835317891074637421677421707976753363656637189284902970186765977347480804171199581629939436356442893580343804231058256444749182684881463624345236918987926076148798934228427565013902787254797394651582553509092054646651157849189308895206807375104923143404235269823497186236110538194705012327548041750642009959673365131325791464614921318209101370268731390641242510377965272989945967306027593787644551135817039193823499481870009867083829840306067730249624224624646988502276894841873843605127131332384519197753935478704731853008489972288940010323419314681591973343064874640789142288360669294760005119700331937231014065697656448233975257963419171072676977683933923875970959731814451449189431512970062329669421937741232754051926340888300702853437133301265426084684591656595899649837881953856072729207728092512686350438747161806219505536618652125152227331266827372123704002837636089670667034275644881535675227096160573916582610868675523015369185710770547513895169682422758126810014077850713298503732764837744663904267738061363573034272846724726146501252571901538706176227011581155321450145186152350434649481426261310016535745352345588632501531842550026899495907830399924650335765548456798376255573016177278231358463414948063421133849366429604046205263771463644470157734137853634191253526189518499134516173514268483174429895231946627706513172786002068802165518288159739773012029437502857485298286673113931144591659639288688929286434712912069975096729065118569382971262593303381882498291967909566406548091334597493973394217299960460043238048443845373820792480452707053430541960755858156599224122131021843486985540505680827436266714455689908451489510534887555604271105983324816385369399468226933783389478351028052955955942904266999387133670561095802536801153825453881667464946593560105609674998977031800849458981613299498422763231958996703425760944802248433860779646500473570822228075992031840722720597198747163455656215310793116725574380946634564841511014986501685605586139485871506496714098047449272192362183453460813352601369956201459420276565987995235419756668561933911937481831462287075094430589083931606880360143603382080614672580841895544785401073546387624783415854393014768591805979264881764461249178943103394303500197799152909226792709644753267148784464776357704094656363675002875649655526905479005782880221482666646338381987451153209206780584642281264338845691359831364972078023536770174345039950409570359275297025348247681367267882351035522467038608752357378088257815600261790084353066986250378250451814037442649}
19891 195055798872664851640266722633512642554712333110082273753669201877368825: {19891,39778,1887365,2264838,2364173,2797581,2840981,3197621,3377390,4052868,4150949,4266245,4308101,4389281,4568030,4807814,5119494,5481636,5694941,5972141,6154430,6639365,7166933,7231588,7231745,7385316,7428014,7967238,8060318,8076101,8117661,8135630,8531630,8678094,8823333,9543521,9762756,9847061,10237956,10330840,10457261,10566052,10583733,10778465,10933493,11286381,11388734,11504381,11514740,11622195,11686349,11872094,12238072,12397008,12546965,12825038,12934158,13298549,13389141,13426036,13767831,13817688,13946634,14067230,14602181,14812973,15056358,15094360,15201173,15544899,16150574,16269620,16390275,16434830,16880676,16981155,17207069,17482960,18113232,18113501,18265341,18612021,18907672,19523544,19565198,19588565,19668330,19721796,19957733,20091236,20342181,20377386,20443143,20546081,20557348,20912414,20979552,20993894,21161390,21271131,21679973,21864782,21963987,22210373,22407341,22720984,22950068,23049173,23506278,23601996,24337075,24472533,24573041,24662078,24714293,25157901,25189949,25322775,25393668,25561107,25725062,25876430,25967201,26711549,26867541,27010960,27148373,27158465,27208821,27594941,27738245,28867541,29204490,29367640,29591733,29709293,30056321,30387330,30513341,30690821,30971390,31051716,31151456,31986916,32413152,32590158,32608901,32612273,32927390,32977533,33038595,33285894,33850852,33989061,34662333,34767250,35027969,35045388,35231540,35241168,35352581,35668373,35713838,36047715,36216029,36223334,36464796,36965765,37165668,37169188,37954371,38450896,38559101,38685665,38724101,38783390,38829761,39017541,39126452,39220709,39229528,39512868,39646314,39744878,39830465,40017821,40929173,41110061,41110552,41720700,41795501,41983556,42070973,42277848,42422573,42686165,42713294,42848678,42880061,43081709,43257258,43799812,43844030,43944494,44133219,44358918,44395265,44502080,44672801,44964245,45183775,45304301,45839573,46249371,46304733,46347041,46422798,46540068,47129582,47562579,47735198,47796558,47799614,47944995,48261101,48304094,48358360,48370565,48882821,48928701,49535813,49667500,50064840,50403041,50561661,50886221,51141328,51223398,51747620,52282181,52612836,52624673,52838733,53098840,53163998,53274318,53402496,53487381,53525395,53957094,54010238,54131704,54220530,54403155,54688781,55058775,55084430,55105221,55184294,55428141,55706465,56322945,57036868,57077375,57357461,57533994,57682533,57835232,58030032,58044678,58063694,58454429,58729360,59020133,59071745,59192561,59286333,59427341,59601000,59631365,59730341,59736195,59846488,60077808,60101390,60286541,60361862,60379181,60898167,61005461,61038773,61257230,61522581,61865429,62097144,62146973,62239155,62277773,62439233,62571160,62678021,62846836,62943461,63474173,63574400,63718608,63939041,63967384,64230474,64548250,64573361,64651745,64720430,64750613,65064636,65283786,65481976,65520701,65533094,65812695,66070530,66101316,66388432,66464894,66594261,66738629,66847758,67051125,67327299,67587534,67759022,68167821,68193140,68240501,68477141,68492850,68572673,68944430,69371128,69859287,70200208,70241668,70310318,70392555,70475232,70886094,71422349,71521200,71557638,71587841,71683434,71963307,72121668,72284036,72445901,72545061,73059040,73241678,73508676,73667223,73816961,74686986,74688830,74979509,75085392,75164596,75271061,75617693,75914078,75954621,76289280,76313054,76422398,76464850,76915598,77457900,77574662,77582094,77664516,77962731,78042519,78107861,78126830,78433454,78557681,78820949,78975234,79031541,79284636,80037221,80356358,80461350,80771381,80967038,81299669,81375232,81481240,81831768,81939230,81956981,82086861,82191420,82381421,82621760,82724774,82730933,82733316,83214173,83354465,84471066,85082261,85102013,85212134,85297454,85576229,85576478,85609121,85724733,85825440,86069765,86123630,86416238,87124373,87600029,87670848,87699075,87832461,87904901,88104341,88732533,88781390,89540030,89626596,89630661,89919230,89988388,90216494,90311021,90424551,90503021,90677390,90929572,91021973,91473365,91547136,91666395,91669838,91757820,92060739,92068733,92257829,92282273,92415715,92516693,92610381,92626061,92697173,92812775,92949480,93117173,93545680,93637094,93686307,93752196,93880589,93965021,94130981,94948755,95180069,95206478,95372522,96553620,96602141,97253798,97486430,97489973,97639421,97777488,97875008,97986173,98212341,98260742,98261636,98327076,98555873,98629704,98890781,99146112,99528941,99552341,99755188,99834532,99945473,99965181,...,27469928433584529368170953642376586099123262544154387098273192177510826691042191895130561418217802639343276685584503076613237677658788201680359078744388684454583505816510711011901754116846536038507430559325511840277650063259150856489294000898823435229003101079303075280938581644251379229632674789040778978011012649999670564868880198795132851441048917090093499231193574154009902932861735759569134183457993530068151632038342155598288398220325672820516611188871575008222012763425215747572747103631888707273853404618117123424640698498637075808758659735720559647385273125799719733490508398548001002144438873650086156042737138680495745389710836775683196105057113757188099516562236562277302337818208849585713203960249021303129974405561599442173252581808590524773791738974744341926332243579841951499126982558650568101531731912304570086685203716339729859535443404678789406195534877132252411860275743166806564191205647026431329581648147384259606683103397389000856013279564486841767721952819895090945468493691641854188323347170620363986594623074703458383526068181089385591764665975826679822778439787074756973666165632832862651336369193122498458140169508443179358930338580638272975804011319963051920013764559086242122631124086499521052189717814225726346673492933775916308018754263541930978633677284558894763569303578578565167961279642419268598919242017293416439559229250321643672069235121184400937137916177735020568112912788875461199533117175938474763638943637456683581800584996215741626007382158202833536303108355769829498272003783514786227556045700859842047566969461547431888776814491567364020492247614360730018526892909897010835746685437134284398004977019783659551872356984081818097379030462299634862001670095868718274901636015441540428600193581536467246199308568348413355380993803127451510002042456733369199327877107199899533781020731275731168340764021569704308477951219930751228178465821906138728273685028618192626876978850471512255004701586024665512688231352357977565906526975928836942017563714669425069554024384212986364016039250003809980397715564151908192788879519051585239048579617216093300128972086824759177295016791071175843331055957212755208730788446129991964525623066613946724317397925127165094389973936942737907389281007810875465632162841362457982647387340907769915022285940919877935319347379850074139028141311099755180492532624302578377852637801370737274607923872355999182844894081461070049068205100605175556619928791413474146233331969375734465945308817732664563684309278662271234347926402997911814372862000631427762970767989375787630294129598329551274208287081057488967432507928846086455348019982002247474114852647828675328952130729932362923149577937947751136801826608268612560368754650660313893008891415911882583309108616382766792574118778575475840480191471176107486230107789194059713868098061850166377887805857353024789074639019842352614998905257471192404666930398870545635723612859671022865045953035143605459541818233337167532874035873972007710506961976888861784509316601537612275707446189708352451794255146441819962770698049026899126719933879427145700396033797663575156357176468047363289384811669809837451010420800349053445804089315000504333935752049923532}
19892 195813827857914666184497101742894459356537864862727178227517905230766025: {59667,615691,913882,1151938,1446787,1469122,1565227,1865242,2745667,2814298,3019784,3397257,3524578,3730108,3801907,3839842,4152691,4469602,5019802,5066085,5176858,5403824,5412322,5490778,5549347,5961178,6079302,6431002,6820507,6822082,6825992,6852045,7134658,7211721,7308848,7525018,7603042,7679241,7968547,8197291,8222454,8995627,9004738,9039485,9231645,9847088,10622984,10708313,10823548,10847382,11020258,11077974,11142021,11483842,11570792,11764444,11929987,11950857,12023962,12090477,12203445,12255202,12377107,12711691,12797445,12913550,12934387,12948058,13017008,13017141,13178722,13207565,13562842,13600747,13639618,13650608,14023258,14111644,14374891,14393425,14644134,14942362,15048508,15171778,15297590,15356934,15474691,15496260,15630178,15693787,15849078,16316698,16392898,16529344,16544213,16782545,16784947,16849762,17083101,17230042,17245544,17272110,17436187,17458018,17761762,17808141,17852188,17913538,17989402,18141082,18357108,18423584,18595512,18867950,18898522,19237557,19352218,19401237,19481347,19503322,19729858,19880861,20075144,20139054,20337025,20726532,20919951,21100845,21536962,21853700,22062298,22447891,22507568,22584537,22641540,22657627,22971691,23185378,23634590,23782882,24150976,24225861,24304858,24353788,24404430,24652245,24677218,24816028,25114045,25123522,25321014,25346458,25696685,25871707,26014402,26031392,26224440,26236762,26295728,26791867,26893747,27122908,27169848,27198658,27257524,27863002,27972736,28084162,28361508,28401230,28687585,28746778,28916227,29285316,29347797,29408098,29502495,29582694,30136854,30314827,30414187,30566079,30810907,30836022,30873058,30946138,31305187,31311298,31341704,31368621,31469328,31490841,31742085,31895947,31967578,32477122,32630044,32695258,32797173,33069691,33348802,33493858,33543868,33644534,33763700,33846427,33858224,34081476,34325837,34425102,34579738,34714747,35259417,35402994,35823388,35958691,35971733,36244027,36278428,36623467,36709550,36740698,36956002,36993117,37457818,37848691,38036107,38090502,38530498,38587593,38596627,38814645,38887258,38939320,39455644,39599578,39983645,39986587,40354507,40516440,40629691,40837621,40877722,41086891,41090242,41231842,41402288,41444122,41723947,41938882,42313565,43077187,43217536,43453544,43524667,43617041,43806735,43839898,43970044,44039425,44051460,44236891,44381192,44748662,44856307,45318748,45580995,45868738,46171747,46216444,46258867,46457085,46461485,46577574,46727184,46988224,47365241,47980374,48063620,48230242,48437722,48575962,48583891,48619728,48885237,48908065,49036910,49391085,49554224,49928841,50272291,50605828,50641882,50776278,50847682,51354307,51388190,51519691,52023388,52079458,52150875,52365677,52479445,52568082,52683824,52761538,52847310,52861752,52897762,52913827,53101978,53374042,53509978,53570757,54206947,54335001,54697194,54749765,54798178,54933442,55005787,55164691,55541338,55627600,55718587,55748502,55753782,55945882,55971461,56370464,56820418,57296729,57513691,57676344,57745027,57826138,57959962,58089878,58129147,58175085,58561378,58689678,58844292,59145224,59195107,59228098,59269302,59469471,59617317,59760322,60022747,60424162,60447950,60699737,60755482,61425182,61431787,61665828,61739644,61813018,61897064,62053424,62084375,62142658,62537698,62581050,62598187,62975334,63194818,63391642,63416772,63603667,63728744,63784858,63926660,64069941,64273017,64684525,64885887,65156578,65238268,65364067,65433547,65699718,65766045,65916741,66132058,66261691,66373550,66398707,66538377,66650842,66739987,66753120,67415548,67620802,67664630,68297864,68394178,68617891,68780002,69357658,69421762,69470587,69622069,69634197,69810102,69924691,69997978,70150448,70375267,70451644,70567291,70694373,70885891,70891738,71032424,71146522,71203328,71296085,71316508,71528218,71602797,71694837,71699421,71942792,72294040,72416602,72451891,72456141,72537540,72759691,72796378,73065691,73238722,73411700,73473628,73551547,73554202,73813454,73904188,74152387,74183962,74501250,74686618,74686987,74808110,75097260,75565027,75626338,76001218,76063642,76198627,76375522,76483747,76624738,76711992,76835097,76910044,77129741,77373376,77392904,77621430,78052762,78213950,78374827,78485698,78537691,78558545,78645907,78796553,78919254,79048444,79182667,79468000,79648260,79745997,79764787,79902682,79911477,79959230,80103744,80332258,80389891,80699842,80935641,81015357,81189058,81197556,81250138,81257707,81308107,81330795,81852470,81907291,82030108,82103578,82398691,82468378,82626645,82776441,82796192,82985540,83075098,83320757,83377858,83740642,83921818,84383947,84611827,84645082,84882907,84958144,84972691,85186018,85241425,85336141,85366042,85555302,85636891,85640632,85725658,86144482,86199427,86300991,86707891,86713910,86752848,86916691,87039322,87045048,87067017,87095541,87410467,87750260,87802085,87871258,88094040,88108378,88135088,88210387,88404418,88444747,88599547,88618838,88640962,88792348,88981507,89130344,89207227,89401500,89540947,89643418,89769732,90116712,90152085,90355045,90472267,90542793,90645787,90875362,90890428,90987427,91323800,91634458,91885845,91969147,92188891,92332762,92448922,92737747,92797018,93028762,93061661,93113813,93145716,93177307,93376891,93433267,93600667,93722458,93792691,93856740,93955745,93966976,94270254,94356322,94514792,94720934,94758682,94870747,94942891,95339467,95361600,95362147,95410184,95446618,95577912,95587037,95618242,95736691,95842891,95951076,96162224,96345711,96498667,96726748,96758722,96822375,96929242,96943267,97010227,97059691,97080645,97219891,97326562,97417387,97439938,97446691,97478833,97518691,97561027,97596954,97657291,97876373,97925679,97949338,98011568,98029891,98212267,98222964,98299641,98337691,98425891,98457442,98614891,98626522,98659747,98665867,98689627,98795458,98815987,98834707,98877547,98895691,98918947,99105795,99151974,99301402,99582648,99697341,...,41204892650376794052256430463564879148684893816231580647409788266266240036563287842695842127326703959014915028376754614919856516488182302520538618116583026681875258724766066517852631175269804057761145838988267760416475094888726284733941001348235152843504651618954612921407872466377068844449012183561168467016518974999505847303320298192699277161573375635140248846790361231014854399292603639353701275186990295102227448057513233397432597330488509230774916783307362512333019145137823621359120655447833060910780106927175685136961047747955613713137989603580839471077909688699579600235762597822001503216658310475129234064105708020743618084566255163524794157585670635782149274843354843415953506727313274378569805940373531954694961608342399163259878872712885787160687608462116512889498365369762927248690473837975852152297597868456855130027805574509594789303165107018184109293302315698378617790413614750209846286808470539646994372472221076389410024655096083501284019919346730262651582929229842636418202740537462781282485020755930545979891934612055187575289102271634078387646998963740019734167659680612135460499248449249293977004553789683747687210254262664769038395507870957409463706016979944577880020646838629363183946686129749281578284576721338589520010239400663874462028131395312896467950515926838342145353955367867847751941919463628902898378863025940124659338843875482465508103852681776601405706874266602530852169369183313191799299675763907712145458415456185025372700877494323612439011073237304250304454662533654744247408005675272179341334068551289763071350454192321147833165221737351046030738371421541095027790339364845516253620028155701426597007465529675489327808535476122727146068545693449452293002505143803077412352454023162310642900290372304700869298962852522620033071490704691177265003063685100053798991815660799849300671531096913596752511146032354556462716926829896126842267698732859208092410527542927288940315468275707268382507052379036998269032347028536966348859790463893255413026345572004137604331036576319479546024058875005714970596573346227862289183319278577377858572869425824139950193458130237138765942525186606763764996583935819132813096182669194987946788434599920920086476096887690747641584960905414106861083921511716313198448244262043686973971081011361654872533428911379816902979021069775111208542211966649632770738798936453867566778956702056105911911885808533998774267341122191605073602307650907763334929893187120211219349997954063601698917963226598996845526463917993406851521889604496867721559293000947141644456151984063681445441194397494326911312430621586233451148761893269129683022029973003371211172278971743012993428196094898544384724366906921626705202739912402918840553131975990470839513337123867823874963662924574150188861178167863213760720287206764161229345161683791089570802147092775249566831708786029537183611958529763528922498357886206788607000395598305818453585419289506534297568929552715408189312727350005751299311053810958011565760442965333292676763974902306418413561169284562528677691382719662729944156047073540348690079900819140718550594050696495362734535764702071044934077217504714756176515631200523580168706133972500756500903628074885298}
19893 196574781940815312382165249008796885042044789300943972125448597758330546: {39782,79556,1370823,1727907,2203683,2642311,2797863,3357523,3774730,4221447,4529676,4662635,4728346,4905667,5286867,5595162,5681962,5759763,5972743,6333107,6395242,6704403,6754780,7529703,7762523,7765287,8105736,8118483,8236167,8301898,8532490,8616202,8778562,8941767,8948291,9118953,9136060,9295111,9544483,9615628,9646503,10124443,10233123,10238988,10701987,10963272,11287527,11389882,11404563,11687527,11944282,12308860,12333681,13233947,13278730,13507107,13529435,14333866,14463176,14463490,14705555,14770632,14856028,15089851,15716467,15934476,16120636,16152202,16235322,16271073,16271260,16530387,16616961,17063260,17225763,17257123,17356188,17565751,17639555,17646666,18035943,18382803,18810635,19087042,19370325,19377347,19422087,19525512,19694122,19768083,20335627,20344263,20459427,20475912,20661680,20914522,21034887,21132104,21167466,21556930,21866986,21966201,22315235,22413543,22572762,22757667,22777468,22946385,22963267,23008762,23029480,23035401,23244390,23372698,23445267,23744188,23773617,24475047,24476144,24589347,24794016,25093930,25274643,25650076,25845063,25868316,25908165,26187027,26418727,26481403,26597098,26642643,26778282,26852072,26870307,26984103,27132211,27211623,27317125,27423991,27463987,27535662,27635376,27893268,27927923,28134460,28301925,28347783,28461191,29028327,29204362,29254983,29594787,29625946,30112716,30188720,30208581,30402346,30442235,31020035,31089798,31522483,32301148,32305443,32539240,32612203,32780550,32869660,33093447,33761352,33903635,33962310,34071905,34414138,34778067,34965920,35451885,35674323,36226464,36227002,36449011,36457287,36530682,36606645,37015827,37224042,37443691,37506227,37685283,37815344,37964723,37981521,38019687,38021851,38833543,39021603,39047088,39130396,39177130,39336660,39355143,39443592,39915466,40182472,40684362,40753787,40754772,40787555,40797987,40886286,41092162,41114696,41780323,41794503,41824828,41929835,41959104,41987788,42126243,42204625,42322780,42542262,42601845,43120167,43359946,43729564,43927974,44112147,44374041,44420746,44779235,44814682,45205281,45348035,45441968,45900136,45972131,46098346,46254033,46309587,46351747,46419207,46966947,47012556,47203992,47879267,47951367,48636743,48674150,48715683,48945066,49042887,49146082,49304363,49319555,49324156,49394683,49428586,49968491,50023203,50240787,50315802,50379898,50466801,50645550,50787336,50914747,51122214,51450124,51637653,51752071,51752860,51869607,51934402,53104491,53423098,53735082,54021920,54159931,54296746,54316930,54417642,54962555,55064325,55111047,55189882,55434003,55476490,55762651,55953851,56186727,56648435,57135753,57735082,57770555,57795747,57808171,57885827,58330887,58408980,58735280,58815811,59183466,59399367,59418586,59473607,59760631,59937971,60079525,60112642,60774660,61026682,61316583,61381642,61635363,61847763,61942780,62080003,62103432,62153371,62166183,62302912,62908323,62949943,63090487,63257285,63973832,64724027,64826304,65029235,65180316,65217802,65224546,65759847,65854780,65955066,66077190,66571788,66745387,66952391,67122993,67701704,67718791,67978122,68803107,69082507,69324666,69534500,69866361,70055938,70090776,70463080,70482336,70590403,70705162,70915051,71336746,71427676,71970561,72095430,72097363,72115187,72170227,72345363,72432058,72446668,72656583,72863943,72929592,73555365,73931530,74331336,74338376,74935553,75278683,75908742,75962823,76164417,76271523,76901792,77082285,77095463,77118202,77174555,77371330,77448202,77566780,77659522,77989051,78035082,78119187,78252904,78374363,78375371,78441418,78459056,78852123,79025736,79142307,79270965,79292628,79346643,79489756,79652967,79660930,79908325,80035642,80061063,80264967,81547835,81788891,81858346,82045791,82197267,82220122,82221104,82389763,82400163,82700443,82787207,83312007,83441400,83483911,83591002,83622753,83630673,83918823,83967112,84141946,84269435,84555696,84845146,85230627,85372330,85426588,85617883,85697356,85760122,86163418,86514516,86739207,86939943,87134817,87599624,87688060,87842067,87888988,87986827,88034517,88064555,88266438,88612147,88698151,88717836,88790530,88842147,88903953,89004160,89145635,89345602,89640483,89704967,89928490,90367550,90512443,90608602,90636243,90671925,91133223,91450787,91679146,91764625,91842035,92137773,92380235,92498742,92609466,92694082,92719527,92845596,93080136,93165467,93213987,93806547,93871575,94259164,94463001,94589443,94792227,95087463,95125158,95189707,95392571,95470396,95593116,95599228,95677287,95889990,95979587,96081427,96137555,96522202,96608188,96611923,96716720,96720647,96741130,97542923,97734867,97765642,97857402,98483891,98549577,98810555,99071626,99198087,99267431,99335000,99539047,99560325,99564791,99976263,...,61807338975565191078384645695347318723027340724347370971114682399399360054844931764043763190990055938522372542565131922379784774732273453780807927174874540022812888087149099776778946762904706086641718758482401640624712642333089427100911502022352729265256977428431919382111808699565603266673518275341752700524778462499258770954980447289048915742360063452710373270185541846522281598938905459030551912780485442653341172086269850096148895995732763846162375174961043768499528717706735432038680983171749591366170160390763527705441571621933420569706984405371259206616864533049369400353643896733002254824987465712693851096158562031115427126849382745287191236378505953673223912265032265123930260090969911567854708910560297932042442412513598744889818309069328680741031412693174769334247548054644390873035710756963778228446396802685282695041708361764392183954747660527276163939953473547567926685620422125314769430212705809470491558708331614584115036982644125251926029879020095393977374393844763954627304110806194171923727531133895818969837901918082781362933653407451117581470498445610029601251489520918203190748872673873940965506830684525621530815381393997153557593261806436114195559025469916866820030970257944044775920029194623922367426865082007884280015359100995811693042197092969344701925773890257513218030933051801771627912879195443354347568294538910186989008265813223698262155779022664902108560311399903796278254053774969787698949513645861568218187623184277538059051316241485418658516609855956375456681993800482116371112008512908269012001102826934644607025681288481721749747832606026569046107557132311642541685509047268274380430042233552139895511198294513233991712803214184090719102818540174178439503757715704616118528681034743465964350435558457051303948444278783930049607236057036765897504595527650080698487723491199773951007296645370395128766719048531834694075390244844190263401548099288812138615791314390933410473202413560902573760578568555497403548520542805449523289685695839883119539518358006206406496554864479219319036088312508572455894860019341793433774978917866066787859304138736209925290187195355708148913787779910145647494875903728699219644274003792481920182651899881380129714145331536121462377441358121160291625882267574469797672366393065530460956621517042482308800143367069725354468531604662666812813317949974449156108198404680801350168435053084158867867828712800998161401011683287407610403461476361645002394839780680316829024996931095402548376944839898495268289695876990110277282834406745301582338939501420712466684227976095522168161791596241490366968645932379350176723142839903694524533044959505056816758418457614519490142294142347816577086550360382440057804109868604378260829697963985706259270005685801735812445494386861225283291767251794820641080430810146241844017742525686634356203220639162874350247563179044305775417937794645293383747536829310182910500593397458727680378128934259801446353394329073112283969091025008626948966580716437017348640664447999939015145962353459627620341753926843793016537074079494094916234070610310523035119851228711077825891076044743044101803647053106567401115826257072134264773446800785370253059200958751134751355442112327947}
19894 197338672329145047030343512458557124135098282473386351537851184078699512: {59673,99445,119334,813973,1051573,1231382,1827764,1999093,2303876,2588953,2893574,2938244,3130454,3294409,3730484,3880309,4581013,5491334,5628596,5662095,6039568,6090313,6205909,6794514,6897973,7049156,7092519,7460216,7603814,7679684,8305382,8388553,8392743,8443475,8522943,8939204,8958613,9072409,9526873,9592863,9753673,10039604,10093333,10132170,10353716,10807648,10824644,10981556,11098694,11420075,11445493,11922356,12019535,12158604,12452847,12655279,12798735,12862004,12924303,13121113,13167843,13641014,13644164,13651984,13704090,14269316,14423442,14617696,14780533,15050036,15206084,15358482,15386075,15658933,15937094,16314709,16394582,16423753,16444908,16750453,17084823,17916423,17942809,17991254,18009476,18078970,18463290,18481909,18490591,18570035,18589513,19694176,19918095,20150795,20339075,20514073,20620309,21245968,21329075,21416626,21500799,21573193,21647096,21694764,21695235,21784153,22040516,22100053,22155948,22284042,22310293,22834633,22967684,23141584,23495563,23528888,23773909,23859974,23901714,24047924,24180954,24189493,24228303,24293209,24352983,24406890,24510404,24754214,25423382,25429333,25594890,25827100,25868774,25896116,26034016,26034282,26357444,26415130,26434991,26454613,26469999,26760793,27125684,27201494,27269653,27279236,27301216,27472693,27979033,28046516,28223288,28471835,28483573,28630563,28749782,28786850,28986313,29288268,29387209,29541183,29680235,29884724,29886709,30097016,30343556,30595180,30713868,30949382,30992520,31260356,31371783,31387574,31698156,31751199,32062595,32335395,32633396,32785796,32800479,33058688,33088426,33332809,33565090,33569894,33699524,33859143,34166202,34301209,34397653,34460084,34491088,34513143,34544220,34866585,34872374,34916036,35059047,35159663,35168075,35358133,35523524,35616282,35704376,35827076,35835673,35975359,35978804,36282164,36714216,36847168,37163209,37191024,37539913,37640895,37735900,37797044,38475114,38704436,38802474,38962694,39006644,39128053,39459716,39498709,39761722,39895647,39960409,40150288,40162619,40167423,40278108,40376435,40420309,40674050,41087075,41303493,41453064,41839902,42151513,42201690,42241909,42332233,43073924,43141909,43707400,43806543,44123593,44124596,44438919,44895782,45015136,45169074,45283080,45315254,45603519,45642047,45886153,45943382,46235209,46370756,46583113,46634697,47269180,47533909,47565764,47877493,48262643,48301952,48451722,48609716,48707576,48731413,48808860,48912995,49170825,49304490,49354436,49632056,50082709,50166553,50228090,50247044,50642028,50692916,50834713,50943465,51001033,51393370,51621207,51743414,51828313,52028804,52062784,52281035,52448880,52473524,52484735,52591456,52903475,53299273,53461273,53583734,53703733,53787494,54245816,54339696,54340503,54397316,54515048,54661955,54796023,55382809,55726004,55836063,55945472,55977103,56168324,56171209,56249653,56723016,56802460,56874613,56952409,57375170,57493556,57803413,57832454,58569493,58570632,58695594,58765695,58816196,59004990,59165388,59238991,59554633,59629909,59873199,59930293,60273708,60629654,60750409,60828374,61026543,61120309,61132158,61194073,61329429,61414933,61561813,61621814,61638243,61655195,61672044,61746116,61892276,62610374,62622596,62654233,62683408,62737242,62938656,62981682,63484170,63659209,63730453,63791894,63813393,63935156,64312655,64650073,64691075,64954244,65039919,65046079,65070409,65140213,65260088,65390516,65418709,65594346,65891961,66041113,66139382,66521173,66631119,66697604,66987716,67087736,67222023,67289068,67527400,67692854,67716448,68140309,68162952,68406133,68471291,68651674,68736793,68850204,69065653,69147519,69159476,69196693,69429494,69457909,69629087,70518834,70805988,71631733,71646776,71757013,71917382,71943466,72317209,72379093,72488054,72556856,72625909,73011225,73237909,73246934,73417599,73419100,73471223,73481396,73719123,73842709,73902793,73912004,73986234,74142879,74423591,74499673,74915636,74971993,75264853,75473703,75569847,75697382,75902809,75960373,75968325,76072214,76132633,76181004,76649671,76683321,76758709,76984213,77060996,77096533,77175186,77193254,77376073,77428475,77629290,77653813,77774516,77819593,77878640,77901603,78908233,78911288,79015513,79199156,79229209,79810933,79967290,79968073,79973174,80134647,80487193,80602623,80709014,81032880,81049909,81252373,81259382,81445119,81475395,81626463,81675242,81755444,81803209,81852853,82099993,82173782,82180484,82247413,82280627,82318475,82463684,82540309,82782409,82784823,82804576,82888244,83213653,83214735,83261209,83447894,83450713,83779573,83877764,84243253,84380953,84472393,84627130,84699733,84880309,84925273,85344743,85765909,86154374,86435072,86602623,86874133,86907088,86918125,87049334,87234082,87491353,87612853,87613470,87679796,87940088,88078850,88092373,88102920,88473782,88762384,88775199,88982473,89127879,89284595,89394709,89497324,89712614,89725513,90086233,90121909,90157513,90168963,90263893,90558335,90637496,90854473,91125193,91161990,91540023,91652809,91685173,91737476,91845913,92072463,92343494,92432888,92517734,92742709,92861653,92914170,92922970,93037909,93123199,93155148,93182809,93454368,93634393,93853273,93976448,94303093,94431433,94557973,94682713,94730482,94781209,95375687,95460853,95483209,95505493,95571913,95593909,95960748,96018709,96127240,96140533,96220309,96460484,96620233,96692809,96851893,96875444,96958475,96971593,97054933,97151924,97167782,97239456,97340053,97488659,97643209,97710709,97770474,97776409,97816130,97826703,97836819,98066713,98073820,98121973,98325013,98389273,98424409,98499253,98515093,98676553,98682709,98706613,98712409,98782170,98785993,98837833,98901193,98918473,98922073,98929813,98932599,98934709,98939209,99108448,99115785,99362195,99814519,99857682,...,82409785300753588104512860927129758297369787632463161294819576532532480073126575685391684254653407918029830056753509229839713032976364605041077236233166053363750517449532133035705262350539608115522291677976535520832950189777452569467882002696470305687009303237909225842815744932754137688898024367122336934033037949999011694606640596385398554323146751270280497693580722462029708798585207278707402550373980590204454896115026466794865194660977018461549833566614725024666038290275647242718241310895666121821560213854351370273922095495911227426275979207161678942155819377399159200471525195644003006433316620950258468128211416041487236169132510327049588315171341271564298549686709686831907013454626548757139611880747063909389923216684798326519757745425771574321375216924233025778996730739525854497380947675951704304595195736913710260055611149019189578606330214036368218586604631396757235580827229500419692573616941079293988744944442152778820049310192167002568039838693460525303165858459685272836405481074925562564970041511861091959783869224110375150578204543268156775293997927480039468335319361224270920998496898498587954009107579367495374420508525329538076791015741914818927412033959889155760041293677258726367893372259498563156569153442677179040020478801327748924056262790625792935901031853676684290707910735735695503883838927257805796757726051880249318677687750964931016207705363553202811413748533205061704338738366626383598599351527815424290916830912370050745401754988647224878022146474608500608909325067309488494816011350544358682668137102579526142700908384642295666330443474702092061476742843082190055580678729691032507240056311402853194014931059350978655617070952245454292137091386898904586005010287606154824704908046324621285800580744609401738597925705045240066142981409382354530006127370200107597983631321599698601343062193827193505022292064709112925433853659792253684535397465718416184821055085854577880630936551414536765014104758073996538064694057073932697719580927786510826052691144008275208662073152638959092048117750011429941193146692455724578366638557154755717145738851648279900386916260474277531885050373213527529993167871638265626192365338389975893576869199841840172952193775381495283169921810828213722167843023432626396896488524087373947942162022723309745066857822759633805958042139550222417084423933299265541477597872907735133557913404112211823823771617067997548534682244383210147204615301815526669859786374240422438699995908127203397835926453197993691052927835986813703043779208993735443118586001894283288912303968127362890882388794988653822624861243172466902297523786538259366044059946006742422344557943486025986856392189797088769448733813843253410405479824805837681106263951980941679026674247735647749927325849148300377722356335726427521440574413528322458690323367582179141604294185550499133663417572059074367223917059527057844996715772413577214000791196611636907170838579013068595137859105430816378625454700011502598622107621916023131520885930666585353527949804612836827122338569125057355382765439325459888312094147080697380159801638281437101188101392990725469071529404142089868154435009429512353031262401047160337412267945001513001807256149770596}
19895 198105510273322443026951539970537240309866960688272835177403269880817169: {79564,159112,179001,1847073,2284705,2741646,2879845,3455814,3672805,3715129,4340361,4407366,4663105,4695681,5024833,5284622,5595726,5739829,6527689,6715046,6769873,7035745,7484581,7549460,8237001,8442894,8675761,8811445,8949193,9059352,9325270,9384793,9456692,9599605,9811334,10191771,10573734,10575253,11174005,11190324,11363924,11405721,11519526,11945486,12458073,12479989,12549505,12666214,12790484,12942145,13235281,13408806,13509560,13530805,13726945,14146633,14902945,15059406,15198255,15473953,15525046,15530574,16077505,16211472,16236966,16472334,16603796,16648041,17055205,17064980,17232404,17557124,17836645,17883534,17896582,18078313,18237906,18272120,18590222,18812545,18941209,19007605,19088966,19231256,19293006,19878457,20248886,20461521,20466246,20477976,20556135,20587777,21403974,21635163,21926544,22511845,22575054,22779764,22809126,22900501,23037723,23277529,23375054,23888564,23905641,24159361,24591873,24617720,24667362,24695377,26334889,26467894,26557460,26886241,26986881,27013297,27014214,27058870,27118455,27550645,27694935,28464073,28667732,28709605,28926352,28926980,29411110,29541264,29712056,30059905,30179702,30452581,30638005,31213561,31241329,31432934,31868952,32124939,32241272,32283875,32304404,32335033,32370145,32470644,32542146,32542520,32946805,33060774,33233922,33305653,33426063,33635953,33907105,33957109,34068529,34099045,34126520,34451526,34514246,34712376,35058145,35131502,35279110,35293332,35789961,35852571,35963881,36071886,36220129,36271431,36610335,36765606,37131321,37355905,37621270,37929445,38135073,38174084,38243975,38392335,38740650,38754694,38803161,38844174,39051024,39051423,39075445,39388244,39536166,39622695,40671254,40688526,40791745,40802241,40918854,40951824,40982245,41323360,41829044,41901781,42069774,42124405,42264208,42334932,42431161,42619129,42642409,42661729,43027573,43075105,43113860,43124673,43180275,43428049,43564393,43645045,43733972,43740409,43932402,44325541,44404405,44630470,44783845,44827086,44973505,45145524,45352705,45515334,45554936,45892770,45926534,46017524,46058960,46070802,46424073,46488780,46643257,46745396,46890534,47081361,47169875,47246305,47465089,47488376,47547234,47700667,48228433,48380545,48758305,48950094,48952288,49178694,49324645,49502293,49545841,49588032,49632639,50187860,50214841,50347635,50354841,50549286,50639209,51044437,51249303,51300152,51353641,51380617,51690126,51736632,51816330,52308561,52374054,52837454,52962806,53194196,53285286,53424423,53556564,53704144,53740614,53842405,53968206,54264422,54423246,54634250,54847982,54927974,55071324,55155745,55270752,55786536,55847137,55855846,56268920,56603850,56695566,56922382,57102577,57712671,57963445,58056654,58203711,58408724,58444041,58509966,58701769,59032081,59086475,59189574,59251892,59457205,59642583,59944057,60225432,60377440,60417162,60592873,60607669,60762145,60804692,60884470,61011075,61312177,61693045,61877953,62040070,62179596,62536657,62690929,62759853,62808805,63044966,63302535,63366145,63487249,63923689,64602296,64610886,64730581,65036005,65078480,65224406,65561100,65591905,65739320,65911669,65995849,66111529,66186894,66989497,67343673,67382953,67522704,67753611,67807270,67924620,67972881,67996645,68143810,68828276,68843737,68915073,69047377,69187753,69556134,69657505,69931840,70210405,70903770,71003075,71192473,71348646,71866945,72452928,72454004,72677583,72698737,72898022,72914574,73061364,73213290,73520245,73889041,73956735,74031654,74448084,74887382,75012454,75342135,75370566,75630688,75633001,75838873,75929446,75963042,76039374,76043702,76947577,77090055,77182645,77365345,77615121,77667086,78043206,78094176,78194209,78260792,78278245,78354260,78382321,78673320,78710286,78887184,79125553,79307809,79519537,79830932,79918945,80364944,80375601,80681241,80878777,81192805,81368724,81507574,81509544,81575110,81595974,81738145,81772572,81797173,82157713,82184324,82229392,82651897,82747681,83372005,83408473,83560646,83589006,83649656,83734645,83780569,83859670,83918208,83975576,84111335,84252486,84409250,84645560,85084524,85119241,85197157,85203690,85593553,85778593,85939513,86062755,86240334,86449345,86458633,86719892,86748681,86919841,87459128,87855948,88043391,88224294,88507485,88560199,88748082,88841492,89558470,89629364,89671957,89735077,90044809,90133153,90410562,90696070,90883936,90944481,91040929,91242561,91698237,91773875,91800272,91851745,91944262,92196692,92390005,92432721,92508066,92619174,92703494,92838414,93174901,93614869,93644545,93915561,93933894,94025112,94105863,94407984,94472523,94735993,95226255,95402257,95414833,95616769,95687841,95758534,95902734,95911801,96326245,96730441,97218145,97273486,97348300,97431366,97659529,97890132,98085774,98292164,98391519,98494033,98608726,98639110,98648312,98789366,98857172,98911153,98998945,99209073,99574873,99745129,99936982,99999313,...,123614677951130382156769291390694637446054681448694741942229364798798720109689863528087526381980111877044745085130263844759569549464546907561615854349749080045625776174298199553557893525809412173283437516964803281249425284666178854201823004044705458530513954856863838764223617399131206533347036550683505401049556924998517541909960894578097831484720126905420746540371083693044563197877810918061103825560970885306682344172539700192297791991465527692324750349922087536999057435413470864077361966343499182732340320781527055410883143243866841139413968810742518413233729066098738800707287793466004509649974931425387702192317124062230854253698765490574382472757011907346447824530064530247860520181939823135709417821120595864084884825027197489779636618138657361482062825386349538668495096109288781746071421513927556456892793605370565390083416723528784367909495321054552327879906947095135853371240844250629538860425411618940983117416663229168230073965288250503852059758040190787954748787689527909254608221612388343847455062267791637939675803836165562725867306814902235162940996891220059202502979041836406381497745347747881931013661369051243061630762787994307115186523612872228391118050939833733640061940515888089551840058389247844734853730164015768560030718201991623386084394185938689403851547780515026436061866103603543255825758390886708695136589077820373978016531626447396524311558045329804217120622799807592556508107549939575397899027291723136436375246368555076118102632482970837317033219711912750913363987600964232742224017025816538024002205653869289214051362576963443499495665212053138092215114264623285083371018094536548760860084467104279791022396589026467983425606428368181438205637080348356879007515431409232237057362069486931928700871116914102607896888557567860099214472114073531795009191055300161396975446982399547902014593290740790257533438097063669388150780489688380526803096198577624277231582628781866820946404827121805147521157137110994807097041085610899046579371391679766239079036716012412812993109728958438638072176625017144911789720038683586867549957835732133575718608277472419850580374390711416297827575559820291294989751807457398439288548007584963840365303799762760259428290663072242924754882716242320583251764535148939595344732786131060921913243034084964617600286734139450708937063209325333625626635899948898312216396809361602700336870106168317735735657425601996322802023366574815220806922952723290004789679561360633658049993862190805096753889679796990536579391753980220554565668813490603164677879002841424933368455952191044336323583192482980733937291864758700353446285679807389049066089919010113633516836915229038980284588284695633154173100720764880115608219737208756521659395927971412518540011371603471624890988773722450566583534503589641282160861620292483688035485051373268712406441278325748700495126358088611550835875589290586767495073658620365821001186794917455360756257868519602892706788658146224567938182050017253897933161432874034697281328895999878030291924706919255240683507853687586033074148158988189832468141220621046070239702457422155651782152089486088203607294106213134802231652514144268529546893601570740506118401917502269502710884224655894}
19896 198875307066567468871211870929295258623895156165702248320799354171686332: {99455,119346,139223,198890,238668,576143,853679,1051679,1627946,1644479,2038679,2103146,2462764,2706983,3099023,3529343,3655528,3880703,3919703,3998186,4112469,4607752,5177906,5183721,5743679,5787148,5876488,6129479,6260908,6588818,6591383,6611049,6898679,7460968,7588223,7760618,7926933,8160863,8393589,8427479,8541623,8731703,8997479,9073343,9162026,9300743,9436825,9867983,10072569,10132079,10884479,10982668,11147063,11257192,11324190,11334383,11708423,11820865,12079136,12180626,12411818,12454103,12664341,12677183,13011263,13122479,13589028,13795946,13987905,14046479,14098312,14157023,14185038,14204905,14488223,14717001,14920432,15207628,15359368,15441383,15697079,15770063,15860601,15988105,16352783,16610764,16777106,16785486,16788479,16827349,16860983,16886950,17045886,17279289,17764583,17878408,17917226,17918229,18144818,18483863,18591479,18842303,18999321,19053746,19185726,19507346,20079208,20113209,20186666,20264340,20551679,20707432,20728679,20754745,20834783,21082079,21331225,21540505,21610679,21615296,21649288,21946405,21963112,22197388,22589109,22732343,22840150,22890986,23287569,23295861,23463983,23811143,23844712,24039070,24226679,24317208,24355449,24708501,24905694,25310558,25432079,25597470,25724008,25848606,25998049,26242226,26335686,26559623,26797679,26825301,26844873,27282028,27288328,27303968,27306479,27356859,27408180,27577103,27885333,28211113,28318679,28474705,28538632,28633449,28721543,28846884,28939509,28989479,29235392,29390423,29423783,29561066,29723663,29860705,30100072,30321479,30373329,30387743,30412168,30699369,30716964,30772150,30883703,31241353,31317866,31706303,31804679,31874188,32105961,32197463,32629418,32789164,32847506,32889816,33196825,33336503,33500906,33862581,34169646,34213689,34305023,35062581,35362079,35585183,35680679,35832846,35834665,35885618,35982508,36018952,36157940,36158725,36884063,36926580,36963818,36981182,37001043,37140070,37179026,37198823,37575479,39132479,39388352,39503183,39534023,39701841,39836190,39860569,39995663,40057079,40271783,40301590,40380505,40424903,40521321,40588305,40678150,41028146,41240618,41339423,41552329,41642663,41975303,42491936,42658150,42697703,42833252,43001598,43146386,43146863,43294192,43389528,43390470,43534679,43568306,44081032,44116665,44200106,44311896,44568084,44620586,44660543,44887633,45269553,45669266,45804023,45935368,46240583,46269623,46283168,46327679,46530623,46617479,46848743,46991126,47057776,47149401,47547818,47711423,47717605,47719948,47803428,47825903,47911679,48095848,48140063,48361908,48378986,48456606,48481679,48586418,48705966,48813219,48813780,49020808,49235305,49330679,49415183,49508428,49527743,49591161,49850883,50032679,50256263,50846764,50858666,51189780,51614543,51654200,51677289,51737548,51771369,51792232,52068032,52068564,52190783,52286305,52572983,52697253,52714888,52830260,52869982,52909226,52918665,52939998,52980743,53467679,53521586,53892325,53940601,54107829,54251368,54402988,54539306,54558472,54602432,54667465,54945386,55072079,55148409,55151543,55336679,55958066,56093032,56431905,56446576,56527009,56725703,56907479,56943670,56967146,56985263,57037669,57261126,57499564,57521905,57573700,57733463,57810479,57972626,57989903,58110975,58117823,58132041,58266261,58431745,58576536,58774418,58957079,59082366,59209679,59304249,59360470,59587079,59769448,59773418,60037583,60194032,60687112,60782663,61006881,61032789,61078679,61190360,61378281,61427736,61447079,61569479,61898764,61935479,61985040,62251223,62520712,62662079,62734825,62743566,62775148,63104661,63396312,63453023,63502398,63667223,63809663,64125190,64447079,64517543,64670790,64681679,64751903,65101943,65266792,65427023,65450183,65571592,65600958,65898603,66117376,66118343,66176852,66255743,66492745,66529679,66665618,66938423,66945705,67130180,67139788,67240629,67367063,67399048,67479383,67718286,68273001,68332404,68437079,68478193,68602418,68795306,68811623,68839155,68889801,68920168,68982176,69026286,69088440,69096479,69106203,69423479,69488663,69532079,69733170,69744748,69791903,69832072,70007543,70118094,70179479,70319326,70329503,70335801,70336150,70716266,70755983,71031479,71047048,71200343,71232564,71320851,71408752,71452679,71654152,71662079,71671346,71950718,71957608,72036983,72347423,72564328,72594479,73010905,73193449,73425141,73428432,73478629,73694336,73768041,74052623,74064865,74152343,74212079,74326418,74382048,74431093,74470103,74568983,75079826,75281790,75449903,75471800,75585479,75594088,75823929,76005865,76219343,76390703,76526737,76674863,76950228,77386679,77408872,77535189,77604948,77664479,77724495,77793503,77925388,78013288,78214679,78256106,78342023,78432743,78561081,78721703,78919432,78972863,78997418,79240223,79256181,79417463,79444209,79523444,79787063,79791294,79822079,79920818,79927929,80300576,80325238,80334846,80464103,80515679,80556216,80610921,80752870,80823623,80840618,80952309,81230183,81280679,81348100,81396633,81634869,81864479,81951375,82078823,82174150,82271973,82288921,82308143,82391961,82552103,82606986,82906128,83666783,83679804,83783769,83900543,84070823,84303026,84403380,84408479,84483818,84664466,84712079,84905775,84907703,84937679,85042343,85043349,85265303,85383479,85383573,85427663,85486463,85647503,85865543,85966679,86035345,86081783,86147848,86182079,86283818,86317273,86353103,86565263,87084981,87273143,87414800,87545063,87613086,87746903,87764949,87955153,87999983,88247186,88249192,88276343,88471583,88536263,88626479,88652183,88784361,88877838,89008679,89071679,89259479,89445479,89775743,89791564,90030272,90037717,90135863,90254303,90338148,90523679,90566160,90567505,90625743,90630508,91207038,91284094,91326705,91372679,91449623,91613183,91645679,91772306,91860479,91886764,91987823,92207903,92311463,92434679,92470418,92556743,92741512,92767583,92906183,93052943,93060105,93082079,93166226,93207503,93269394,93322079,93482423,93649679,93768863,93904703,94144679,94301423,94447079,94538360,94567449,94573679,94878263,94918583,95022479,95067818,95131528,95140679,95202983,95385301,95432063,95506823,95610143,95754986,95833343,95973263,96123479,96302543,96469463,96494663,96525286,96603904,96655343,96903444,96903479,96916329,96943463,96988679,97137503,97169783,97207079,97219432,97240741,97402703,97415152,97452263,97462826,97496183,97520303,97596143,97605479,97617720,97651679,97728383,97732823,97754903,97825990,97836609,97849679,97912079,97942825,98077223,98088479,98118143,98143679,98154503,98172383,98337023,98341650,98362079,98383583,98416583,98460023,98485223,98520479,98589383,98608980,98659103,98682863,98697479,98701583,98703623,98708872,98727479,98731343,98759303,98795423,98857079,98860943,98869679,98873303,98910263,98916479,98941679,98945543,98948543,98954423,98954783,98958983,98962079,98962343,99264112,99280341,99788665,...,185422016926695573235153937086041956169082022173042112913344047198198080164534795292131289572970167815567117627695395767139354324196820361342423781524623620068438664261447299330336840288714118259925156275447204921874137926999268281302734506067058187795770932285295758146335426098696809800020554826025258101574335387497776312864941341867146747227080190358131119810556625539566844796816716377091655738341456327960023516258809550288446687987198291538487125524883131305498586153120206296116042949515248774098510481172290583116324714865800261709120953216113777619850593599148108201060931690199006764474962397138081553288475686093346281380548148235861573709135517861019671736795096795371790780272909734703564126731680893796127327237540796234669454927207986042223094238079524308002742644163933172619107132270891334685339190408055848085125125085293176551864242981581828491819860420642703780056861266375944308290638117428411474676124994843752345110947932375755778089637060286181932123181534291863881912332418582515771182593401687456909513705754248344088800960222353352744411495336830088803754468562754609572246618021621822896520492053576864592446144181991460672779785419308342586677076409750600460092910773832134327760087583871767102280595246023652840046077302987435079126591278908034105777321670772539654092799155405314883738637586330063042704883616730560967024797439671094786467337067994706325680934199711388834762161324909363096848540937584704654562869552832614177153948724456255975549829567869126370045981401446349113336025538724807036003308480803933821077043865445165249243497818079707138322671396934927625056527141804823141290126700656419686533594883539701975138409642552272157308455620522535318511273147113848355586043104230397893051306675371153911845332836351790148821708171110297692513786582950242095463170473599321853021889936111185386300157145595504082226170734532570790204644297866436415847373943172800231419607240682707721281735705666492210645561628416348569869057087519649358618555074018619219489664593437657957108264937525717367684580058025380301324936753598200363577912416208629775870561586067124446741363339730436942484627711186097658932822011377445760547955699644140389142435994608364387132324074363480874877646802723409393017099179196591382869864551127446926400430101209176063405594813988000438439953849923347468324595214042404050505305159252476603603486138402994484203035049862222831210384429084935007184519342040950487074990793286207645130834519695485804869087630970330831848503220235904747016818504262137400052683928286566504485374788724471100905937797138050530169428519711083573599134878515170450275255372843558470426882427043449731259651081147320173412329605813134782489093891957118777810017057405207437336483160583675849875301755384461923241292430438725532053227577059903068609661917488623050742689537132917326253813383935880151242610487930548731501780192376183041134386802779404339060182987219336851907273075025880846899742149311052045921993343999817045437887060378882861025261780531379049611222238482284748702211830931569105359553686133233477673228134229132305410941159319702203347478771216402794320340402356110759177602876253404254066326336983841}
19897 199648074045063172358209116625718500936395473265791961656211281925002166: {159128,179019,298335,318224,358002,2441919,3078455,3154719,3198587,3694146,4031783,4152203,4390607,4569410,5141927,5483292,5759690,5938439,5997279,6415103,6528347,6911628,7233935,7345610,7430258,7766859,7826135,8000759,8680722,8814732,9326210,9385739,9391362,9850043,9883227,10049666,10569244,10576319,11091119,11191452,11479658,11640927,12336023,12481247,13055378,13430092,13439447,13539746,13728335,13743039,13948223,14071490,14148059,14606603,14969162,15098920,15643607,15909839,16474002,16885788,16986285,17351522,17569307,17622890,17898386,18118704,18119003,18270939,18287399,18617727,18650540,18769586,18913384,18943127,19009535,19199210,19217723,19622668,20383542,20552303,20693919,20763455,20864123,21147468,21150506,21277557,21365279,22217099,22348010,22380648,22508507,22567007,22727848,22811442,23039052,23712623,23877287,23890972,24916146,24959978,24971303,25099010,25165659,25178229,25330425,25332428,25568829,25580968,25884290,26337563,26470562,26592743,26610647,26817612,26875839,27019120,27061610,27217227,27453890,27509807,27603323,27746735,27797639,28293266,28580619,28778589,28876283,29261019,29805890,30065423,30118812,30279999,30396510,30947906,31050092,31061148,31516583,32155010,32422944,32473932,32552759,32944668,33207592,33245879,33296082,33639359,34102535,34110410,34129960,34260225,34336479,34454807,34464808,34629527,34930319,35114248,35673290,35767068,35793164,36058605,36156626,36475812,36544240,37180444,37358541,37625090,37882418,37952063,37965837,38015210,38177932,38396205,38462512,38473343,38570903,38586012,38772909,39363339,39503529,39756914,39842735,40193447,40262807,40497772,40923042,40932492,40955952,40986455,41112270,41175554,42083867,42646727,42805607,42807948,42893207,43094843,43225583,43270326,43853088,44122487,44341599,44791559,44978135,45023690,45126479,45150108,45197425,45318203,45559528,45618252,45801002,46075446,46125527,46158225,46555058,46750108,46976799,47469947,47659163,47738663,47777128,47811282,48318722,48944127,49066847,49081403,49183746,49235440,49271259,49334724,49390754,50251359,50418407,51254469,51917039,52130699,52298267,52669778,52935788,53101223,53114920,53541565,53749269,53772482,53828427,53973762,54026594,54028428,54117740,54236910,54564743,54635807,54705623,55101290,55389870,55445727,55471773,55710105,55768539,56596763,56928146,56997239,57108443,57335464,57375143,57419210,57852704,57853960,58822220,58974167,59082528,59424112,59649935,59748623,59754285,60119810,60305147,60359404,60452385,60613823,60735167,60905162,61017225,61024139,61103063,61276010,61542219,61860927,61885535,62166167,62427122,62458199,62482658,62697383,62865868,62962907,63103259,63493787,63558455,63737904,63987225,64057703,64249878,64482544,64502397,64567750,64593047,64608808,64670066,64671935,64719579,64740290,64941288,65084292,65085040,65085705,65352459,65540603,65893610,66037825,66121548,66144827,66300159,66467844,66580823,66611306,66852126,66930879,66996299,67271906,67732763,67737983,67814210,67854887,67914218,68003735,68137058,68198090,68253040,68261627,68503899,68903052,69028492,69054503,69194759,69424752,70116290,70228127,70263004,70486689,70558220,70586664,70929407,71177423,71198087,71321727,71444123,71579922,71609759,71705142,71874455,71927762,71967125,72143772,72440258,72542862,72568479,72684909,72879627,73058949,73220670,73531212,73665983,73839383,74262642,74711810,75242540,75379367,75858890,76270146,76287999,76348168,76487950,76784670,77218043,77373455,77481300,77509388,77606322,77688348,77712443,78102048,78102846,78131807,78150890,78202127,78468935,78581543,78776488,79072332,79245390,79304973,79363839,79409997,79634399,79655783,80282379,81148823,81324683,81342508,81377052,81583490,81604482,81808959,81837708,81903648,81964490,82418079,82646720,82721065,83240087,83416919,83658088,83803562,83912725,83924735,83937099,84136559,84139548,84248810,84528416,84669864,84862322,85003643,85067003,85108463,85238258,85284818,85323458,85415505,85450719,85787279,85891689,86055146,86150210,86227720,86249346,86340743,86360550,86370263,86856098,86958939,87128786,87180935,87290090,87363959,87467944,87477179,87480818,87627023,87864804,87932327,88004639,88161627,88623549,88651082,88712603,88716107,88808810,89040705,89260940,89567690,89627759,89654172,89660127,89947010,90053927,90291048,90338663,90705410,91030668,91050407,91072823,91109872,91785540,91828667,91853068,92035048,92096699,92117920,92141604,92310527,92848146,92977560,93286514,93490792,93781068,93909563,93993563,94115349,94162722,94281167,94339750,94492610,94930178,94976752,95094468,95195303,95253597,95401334,95923703,96187785,96456866,96761090,97006185,97095479,97406735,97516610,97520507,97669583,97900188,97904576,98294567,98357388,98401437,98649290,98921339,99004586,99091682,99176064,99265278,99404305,99998427,...,247229355902260764313538582781389274892109362897389483884458729597597440219379727056175052763960223754089490170260527689519139098929093815123231708699498160091251552348596399107115787051618824346566875033929606562498850569332357708403646008089410917061027909713727677528447234798262413066694073101367010802099113849997035083819921789156195662969440253810841493080742167386089126395755621836122207651121941770613364688345079400384595583982931055384649500699844175073998114870826941728154723932686998365464680641563054110821766286487733682278827937621485036826467458132197477601414575586932009019299949862850775404384634248124461708507397530981148764945514023814692895649060129060495721040363879646271418835642241191728169769650054394979559273236277314722964125650772699077336990192218577563492142843027855112913785587210741130780166833447057568735818990642109104655759813894190271706742481688501259077720850823237881966234833326458336460147930576501007704119516080381575909497575379055818509216443224776687694910124535583275879351607672331125451734613629804470325881993782440118405005958083672812762995490695495763862027322738102486123261525575988614230373047225744456782236101879667467280123881031776179103680116778495689469707460328031537120061436403983246772168788371877378807703095561030052872123732207207086511651516781773417390273178155640747956033063252894793048623116090659608434241245599615185113016215099879150795798054583446272872750492737110152236205264965941674634066439423825501826727975201928465484448034051633076048004411307738578428102725153926886998991330424106276184430228529246570166742036189073097521720168934208559582044793178052935966851212856736362876411274160696713758015030862818464474114724138973863857401742233828205215793777115135720198428944228147063590018382110600322793950893964799095804029186581481580515066876194127338776301560979376761053606192397155248554463165257563733641892809654243610295042314274221989614194082171221798093158742783359532478158073432024825625986219457916877276144353250034289823579440077367173735099915671464267151437216554944839701160748781422832595655151119640582589979503614914796878577096015169927680730607599525520518856581326144485849509765432484641166503529070297879190689465572262121843826486068169929235200573468278901417874126418650667251253271799897796624432793618723205400673740212336635471471314851203992645604046733149630441613845905446580009579359122721267316099987724381610193507779359593981073158783507960441109131337626981206329355758005682849866736911904382088672647166384965961467874583729517400706892571359614778098132179838020227267033673830458077960569176569391266308346201441529760231216439474417513043318791855942825037080022743206943249781977547444901133167069007179282564321723240584967376070970102746537424812882556651497400990252716177223101671751178581173534990147317240731642002373589834910721512515737039205785413577316292449135876364100034507795866322865748069394562657791999756060583849413838510481367015707375172066148296317976379664936282441242092140479404914844311303564304178972176407214588212426269604463305028288537059093787203141481012236803835004539005421768449311788}
19898 200423822588117970717780850693977498533334716286208307963367671960594646: {139237,198910,238692,278446,397780,477336,537003,615877,734857,1152286,1565701,1707358,1920697,2103358,2746501,3255892,3288958,3568777,3920101,4077358,4153957,4206292,4925528,5413966,5541219,6198046,6854115,7058686,7167877,7311056,7741897,7761406,7839406,7971001,7996372,8199817,8224938,8639535,8884537,9215504,10355812,10367442,11018415,11145387,11487358,11574296,11752976,12157477,12258958,12521816,12715657,13021083,13177636,13182766,13211555,13222098,13272037,13797358,13989315,14087043,14489737,14921936,15074499,15176446,15479557,15521236,15808201,15853866,16321726,16549211,16787178,16787615,16854958,17083246,17219487,17441701,17463406,17994958,18146686,18324052,18601486,18873650,19583067,19594501,19735966,19886867,20145138,20264158,20309619,21107235,21768958,21965336,22294126,22383347,22453743,22514384,22648380,22668766,23083657,23313175,23416846,23641730,24158272,24361252,24528335,24711003,24823636,24908206,25328682,25354366,25571977,26022526,26027283,26244958,26434335,26698597,26847579,26902501,27106117,27178056,27591892,27975810,28092958,28119877,28154379,28196624,28314046,28370076,28409810,28798815,28976446,29056643,29226697,29427001,29434002,29840864,29863715,30156707,30415256,30424201,30575313,30718736,30724967,30882766,30920101,31394158,31540126,31665535,31721202,31725759,31976210,32201017,32592697,32705566,33221528,33522015,33554212,33570972,33576958,33654698,33721966,33773900,34091772,34217163,34558578,35529166,35589157,35756816,35834452,35836458,36065977,36289636,36921599,36967726,37182958,37374219,37439967,37648515,37684606,37955257,37998642,38107492,38329657,38371452,38812615,38826435,39014692,39538501,39705843,39864587,40158416,40226418,40373332,40528680,40592415,41103358,41180835,41192197,41414864,41457358,41509490,41669566,41804987,41829001,42164158,42439899,42662450,43002277,43081010,43221358,43230592,43298576,43807417,43892810,43926224,44074501,44340937,44394776,44708835,44741455,45178218,45464686,45594765,45680300,45781972,45838501,46275001,46421859,46475555,46536037,46575138,46591722,46883077,46927966,47622286,47689424,47722415,47745637,48078140,48232515,48453358,48600997,48634416,48686137,48710898,49110757,49417002,49533577,49811388,49944123,50168531,50290117,50621116,50622215,50864158,50957701,51165615,51194940,51448016,51620677,51697212,51996098,52484452,52671372,53014201,53119246,53509935,53595358,53650602,53689746,54234939,54564056,54576656,54607936,54612958,54713718,54816360,55154206,55184677,55250899,55770666,56422226,56437635,56532707,56637358,56823627,56949410,57022815,57077264,57266898,57443086,57611977,57693768,57766201,57879018,57978958,58150501,58437635,58470784,58780846,58847566,59065477,59122132,59447326,59635371,59721410,60045001,60200144,60642958,60746658,60775486,60824336,61384563,61398738,61433928,61544300,61668405,61763331,61767406,62476837,62482706,62635732,63112687,63412606,63609358,63747983,63748376,63841417,64211922,64394926,64900357,64905489,65258836,65458501,65578328,65695012,65779632,66149701,66169735,66287077,66393650,66673006,66804647,67001812,67037497,67510501,67535535,67647175,67712137,67725162,68339292,68427378,68610046,68701503,68710597,68929427,69113169,69367237,69822601,69832587,70016677,70125162,70274437,70595017,70724158,70786501,70977337,71170366,71361358,71665692,71669330,71716923,71771236,71965016,72037904,72046501,72315880,72317450,72478083,73200827,73527775,73768126,73775619,73853160,73927636,73962364,74002086,74002597,74086131,74182201,74280140,74358052,74397646,74598757,75150958,75246217,75449255,75479497,75653701,76115077,76534451,77804197,78264958,78461701,78582335,78624457,78732601,78776704,79001701,79004667,79006366,79068046,79403682,79672380,79692937,79721138,79991326,80114158,80475397,80530667,80543566,80603180,80658723,80761010,80849806,80937097,80960643,81039891,81042642,81176610,81342601,81355365,81356300,81693637,81804443,81991717,82056292,82336201,82481236,82651935,82678846,83084805,83104658,83285326,83912677,83950606,84098437,84983872,85009957,85054777,85144201,85316300,85392219,85395406,85454917,85666504,85674697,86003196,86108857,86128815,86285615,86292772,86293726,86535817,86588384,86779056,86780940,86955577,87069358,87136612,87571717,87813637,87828755,87964019,88162064,88197775,88233330,88289701,88400212,88623792,89136168,89241172,89321086,89775266,90179715,90232837,90539106,90618937,90688201,91198501,91298617,91338532,91357743,91608046,91870736,91914015,91949497,92013001,92076217,92232997,92481166,92539246,92541157,92566336,92655358,92871817,92931001,93019237,93061246,93089843,93234958,93563017,93640683,93697486,93723987,93865957,93982252,94053175,94107337,94115552,94298802,94317001,94894117,95095636,95226757,95410501,95422846,95435210,95439896,95606856,95651806,95807077,95823358,95849701,95955001,95996617,96191696,96280126,96299557,96374817,96678277,96723816,96757972,96768457,96851625,96886735,96913212,96963358,97005099,97110435,97111177,97160101,97172836,97250543,97271737,97287397,97411932,97513657,97613701,97626438,97627560,97750501,97966537,98041616,98095237,98204677,98277001,98306917,98401957,98470610,98481337,98661358,98677897,98703817,98722501,98830366,98840415,98881477,98930617,98938501,98956357,98968201,98974501,98982277,98982601,99016856,99055486,99182322,99701766,99916959,...,370844033853391146470307874172083912338164044346084225826688094396396160329069590584262579145940335631134235255390791534278708648393640722684847563049247240136877328522894598660673680577428236519850312550894409843748275853998536562605469012134116375591541864570591516292670852197393619600041109652050516203148670774995552625729882683734293494454160380716262239621113251079133689593633432754183311476682912655920047032517619100576893375974396583076974251049766262610997172306240412592232085899030497548197020962344581166232649429731600523418241906432227555239701187198296216402121863380398013528949924794276163106576951372186692562761096296471723147418271035722039343473590193590743581560545819469407128253463361787592254654475081592469338909854415972084446188476159048616005485288327866345238214264541782669370678380816111696170250250170586353103728485963163656983639720841285407560113722532751888616581276234856822949352249989687504690221895864751511556179274120572363864246363068583727763824664837165031542365186803374913819027411508496688177601920444706705488822990673660177607508937125509219144493236043243645793040984107153729184892288363982921345559570838616685173354152819501200920185821547664268655520175167743534204561190492047305680092154605974870158253182557816068211554643341545079308185598310810629767477275172660126085409767233461121934049594879342189572934674135989412651361868399422777669524322649818726193697081875169409309125739105665228354307897448912511951099659135738252740091962802892698226672051077449614072006616961607867642154087730890330498486995636159414276645342793869855250113054283609646282580253401312839373067189767079403950276819285104544314616911241045070637022546294227696711172086208460795786102613350742307823690665672703580297643416342220595385027573165900484190926340947198643706043779872222370772600314291191008164452341469065141580409288595732872831694747886345600462839214481365415442563471411332984421291123256832697139738114175039298717237110148037238438979329186875315914216529875051434735369160116050760602649873507196400727155824832417259551741123172134248893482726679460873884969255422372195317865644022754891521095911399288280778284871989216728774264648148726961749755293605446818786034198358393182765739729102254893852800860202418352126811189627976000876879907699846694936649190428084808101010610318504953207206972276805988968406070099724445662420768858169870014369038684081900974149981586572415290261669039390971609738175261940661663697006440471809494033637008524274800105367856573133008970749577448942201811875594276101060338857039422167147198269757030340900550510745687116940853764854086899462519302162294640346824659211626269564978187783914237555620034114810414874672966321167351699750603510768923846482584860877451064106455154119806137219323834977246101485379074265834652507626767871760302485220975861097463003560384752366082268773605558808678120365974438673703814546150051761693799484298622104091843986687999634090875774120757765722050523561062758099222444476964569497404423661863138210719107372266466955346456268458264610821882318639404406694957542432805588640680804712221518355205752506808508132652673967682}
19899 201202564118328549456289572003450665279782237064531183909838147181918863: {298365,318256,358038,417669,497225,596670,636448,716004,1728429,2561037,3155037,4069865,4309837,4883838,4907149,4933437,5257865,6116037,6156910,6309438,6397174,7169821,7388292,8063566,8120949,8304406,8781214,9138820,9297069,9787529,9995465,10127509,10257797,10283854,10502237,10588029,10956589,10966584,11092237,11519380,11642109,11759109,11876878,11994558,12337407,12830206,12944765,13056694,13823256,13829177,13949629,14467870,14691220,14860516,15533718,15551163,15652270,16001518,16472045,16686281,17231037,17262349,17361444,17629464,18388437,18652420,18771478,18782724,18802537,19219669,19401545,19700086,19766454,19774149,19833147,20099332,20696037,21138488,21152638,22182238,22382904,22764669,22905065,22959316,22970221,23281854,23780799,24482589,24672046,24962494,25180767,25221949,25282437,25624869,26110756,26195109,26613349,26860184,26878894,26992437,27079492,27220029,27456670,27486078,27896446,27902229,28024009,28142980,28296118,28310475,29068837,29213206,29603949,29721301,29764757,29938324,29946809,30197840,30217707,30396237,30451565,31029545,31287214,31532029,31819678,32352221,32622109,32653437,32948004,33441189,33771576,33972570,34003149,34489865,34703044,35125269,35138614,35245780,35462595,35796772,36237408,36238006,36541878,36574798,36634237,37235454,37301080,37362309,37539172,37784837,37826768,37886254,37993023,38019070,38031549,38398420,38435446,38703589,38807021,38845429,39033789,39245336,39367437,40767084,41104606,41126677,41383397,41387838,41526910,41728246,41942765,41963715,42139437,42217375,42294936,42301012,42471069,42555114,42614715,42730558,43464669,43985477,44151003,44434198,44690857,44696020,44761296,44793065,45017014,45134014,45362045,45455696,45622884,46078104,46324149,47091237,47310189,47425246,47581803,47634365,47663989,47743549,47754574,47781944,47964315,48768365,49058349,49093517,49832292,49919956,49942606,50198020,50331318,50356458,50365437,50466665,50482047,50582949,50660850,50664856,50930269,51137658,51161936,51364037,51768580,51837867,52675126,52941124,53185486,53221294,53293749,53635224,53751678,53754687,54038240,54123220,54434454,54885989,54907780,55019614,55206646,55451589,55493470,55595278,55598537,55774437,55779829,56526909,56586532,56997963,57100375,57161238,57227465,57381037,57557178,57752566,57964169,58522038,59611780,60097675,60130846,60237624,60339627,60559998,60793020,61063549,61324589,61655037,61895812,62100184,62122296,62186037,62197589,62264235,62504349,62969389,63033166,63246237,63276395,63993675,64310020,64621515,64832037,64845888,64947864,65105518,65605565,65839215,65889336,66415184,66491758,66592164,66765661,66972917,67182469,67278718,67604429,67744861,67767327,68197029,68205070,68220820,68244077,68259920,68520450,68672958,68909614,68929616,69259054,69860638,69862707,69887583,70228496,70391949,70612009,71346580,71433429,71534136,71586328,72117210,72119437,72192229,72313252,72680037,72951624,73066347,73088480,73590217,73902665,74125503,74360888,74413861,74587997,74717082,74958191,74988461,75250180,75301549,75702269,75764836,75904126,75931674,76030420,76296237,76355864,76792410,76925024,76930375,76946686,77141806,77172024,77545818,77994147,78294665,78726678,79007058,79513828,79663849,79678869,79685470,80386894,80393037,80475903,80525614,80534619,80995544,81092549,81573545,81846084,81864984,81911904,81919437,81972910,82070577,82118765,82224540,82351108,82414789,82668629,82731309,83509909,83655999,83752265,84167734,84633339,84956037,85293454,85424115,85611214,85615896,85786414,85900347,86164629,86189686,86451166,86540652,86639749,86647637,86818527,86937437,86968437,87486037,87706176,88171269,88244974,88271349,88683198,88981837,89170989,89582115,89583118,89714045,89732621,89956270,90047380,90252958,90300216,90394850,90540709,90636406,90964437,91119056,91119987,91163229,91236504,91602004,92098107,92150892,92245637,92251054,92295277,92316450,92409545,92452955,92651109,92850175,92947565,93110116,93500216,93724059,93757997,93953598,94939894,95118909,95205229,95218621,95318326,95414037,95477326,95554256,95622564,96110989,96317883,96592389,96637444,96641269,97888254,98133694,98162806,98367492,98470880,98514317,98542518,98669448,98781508,98819849,99590475,99765677,...,556266050780086719705461811258125868507246066519126338740032141594594240493604385876393868718910503446701352883086187301418062972590461084027271344573870860205315992784341897991010520866142354779775468826341614765622413780997804843908203518201174563387312796855887274439006278296090429400061664478075774304723006162493328938594824025601440241681240571074393359431669876618700534390450149131274967215024368983880070548776428650865340063961594874615461376574649393916495758459360618888348128848545746322295531443516871749348974144597400785127362859648341332859551780797444324603182795070597020293424887191414244659865427058280038844141644444707584721127406553583059015210385290386115372340818729204110692380195042681388381981712622388704008364781623958126669282714238572924008227932491799517857321396812674004056017571224167544255375375255879529655592728944745485475459581261928111340170583799127832924871914352285234424028374984531257035332843797127267334268911180858545796369544602875591645736997255747547313547780205062370728541117262745032266402880667060058233234486010490266411263405688263828716739854064865468689561476160730593777338432545974382018339356257925027760031229229251801380278732321496402983280262751615301306841785738070958520138231908962305237379773836724102317331965012317618962278397466215944651215912758990189128114650850191682901074392319013284359402011203984118977042802599134166504286483974728089290545622812754113963688608658497842531461846173368767926649488703607379110137944204339047340008076616174421108009925442411801463231131596335495747730493454239121414968014190804782875169581425414469423870380101969259059600784650619105925415228927656816471925366861567605955533819441341545066758129312691193679153920026113461735535998509055370446465124513330893077541359748850726286389511420797965559065669808333556158900471436786512246678512203597712370613932893599309247542121829518400694258821722048123163845207116999476631936684885249045709607171262558948075855665222055857658468993780312973871324794812577152103053740174076140903974810260794601090733737248625889327611684758201373340224090019191310827453883133558292976798466034132337281643867098932421167427307983825093161396972223090442624632940408170228179051297537589774148609593653382340779201290303627528190216784441964001315319861549770042404973785642127212151515915477757429810810458415208983452609105149586668493631153287254805021553558026122851461224972379858622935392503559086457414607262892910992495545509660707714241050455512786412200158051784859699513456124366173413302717813391414151590508285559133250720797404635545511350825766118530675411280647281130349193778953243441960520236988817439404347467281675871356333430051172215622312009449481751027549625905266153385769723877291316176596159682731179709205828985752465869152228068611398751978761440151807640453727831463791646194505340577128549123403160408338213017180548961658010555721819225077642540699226447933156137765980031999451136313661181136648583075785341594137148833666715446854246106635492794707316078661058399700433019684402687396916232823477959106610042436313649208382961021207068332277532808628760212762198979010951523}
19900 201984310101743372168176896906617500319902039963494778185336937804783919: {218779,278474,397820,477384,537057,556892,795560,895005,933091,954672,1074006,1170619,1231754,1469714,2117851,2304572,2707531,2942899,3131402,3412771,3414716,3764419,3841394,4206716,4698979,5493002,6207811,6511784,6577916,6784891,7015219,7137554,7325757,7840202,8154716,8307914,8391139,8412584,8619451,9075211,9235365,9302659,9464157,9595761,9851056,9870019,10096459,10827932,11082438,11423525,11561299,12095349,12345019,12396092,12456609,13171821,13708230,13791139,14117372,14233651,14335754,14399225,14564779,14622112,15425781,15483794,15522812,15663859,15678812,15773371,15942002,15992744,16399634,16428931,16449876,16864531,17279070,17769074,17815317,17840419,17991837,18056491,18364025,18431008,18496177,18575645,18595411,19245309,19453939,19585041,19988179,20626891,20711624,20733091,20734884,21580099,21701805,22036830,22107139,22212331,22290774,22946659,22974716,23148592,23300577,23315525,23478405,23502661,23505952,23885611,24002277,24301051,24314954,24517916,25043632,25124165,25231579,25431314,26042166,26355272,26365532,26423110,26442977,26444196,26544074,26565379,27380131,27583099,27594716,27978630,28157217,28174086,28593619,28699145,28794859,28979474,29496931,29550129,29649681,29843872,30148998,30352892,30394411,30959114,31042472,31088419,31616402,31707732,31728957,32638445,32643452,32759179,32954371,33098422,33273357,33574356,33575230,33709916,33849365,34166492,34339669,34409131,34438974,34883402,34922781,34926812,35178725,35465659,35752291,35989916,36293372,36648104,36797731,37008069,37202972,37422905,37443741,37552579,37747300,38209291,39166134,39189002,39471932,39604651,39773734,40066171,40290276,40318341,40528316,40619238,40854077,41185005,41229117,41712739,41809201,41844669,42165979,42214470,42256411,42346771,42444177,43378805,43537916,43634617,43819809,43930672,44057225,44227699,44331749,44588252,44670859,44745965,44766694,44907486,45028768,45112219,45296760,45337532,46167314,46338451,46599379,46626350,46833692,46923965,46930821,47032819,47283460,47550571,47729517,47894299,47998025,48316544,48722504,49003459,49056670,49422006,49647272,49816412,50100451,50184331,50268139,50657364,50686099,50708732,50852779,50958855,51143954,51929179,52045052,52054566,52489916,52585531,52707921,52868670,52876265,53397194,53561419,53695158,53805002,54125899,54212234,54337661,54356112,54357009,54812817,54862197,55183784,55402891,55719259,55853181,55870025,55951620,56185916,56191651,56239754,56270131,56308758,56393248,56628092,56739499,56740152,56819620,56829381,56973211,57028605,57597630,57653169,57901579,57952892,58113286,58438339,58453394,58854002,58868004,59576659,59651971,59681728,59727430,60313414,60698779,60830512,60848402,61143091,61150626,61216891,61437472,61449934,61584811,61656909,61765532,61840202,62081757,62290365,62399945,62592369,62638037,62747525,62750059,62788316,63080252,63331070,63442404,63451518,63754531,63825739,63832671,63952420,64095837,64402034,64674619,64710725,65065777,65095171,65165011,65185394,65234779,65296517,65411132,66135211,66176405,66272659,66443056,66546691,66615019,66651297,66751459,66811381,67044030,67108424,67141944,67153916,67309396,67443932,67525521,67547800,67631299,67654025,67701021,67899571,68183544,68434326,68634725,68829451,69117156,69485011,69550171,70537709,70733165,70774531,70871101,71058332,71137869,71155771,71178314,71513632,71631861,71668904,71672916,71972899,72131954,72407851,72469699,72579272,72654811,73812139,73843198,73932451,73935452,74365916,74514725,74529691,74587721,74589019,74707459,74748438,74879934,74913909,75297030,75353731,75369212,75496977,75534687,75910514,75933691,75991275,75991291,75997284,76214984,76659314,76706487,76733539,76742904,77015779,77128171,77184259,77369765,77463619,77625230,77652870,77851699,78029384,78126739,78994771,79012689,79077002,79411686,79474939,79729174,79778229,79831941,79844371,80316832,80387525,80452836,80521099,80572651,80627517,80746664,80880451,81057360,81184830,81286819,81651681,81812689,81887731,82135051,82184299,82206716,82331611,82361670,82384394,82529421,82624291,82809969,82829728,82914716,83018980,83240205,83297131,83339132,83392917,83609974,83658002,84187699,84328316,84509251,84879798,84962491,85097059,85276025,85324900,85584931,85741857,85847371,86004554,86162020,86335767,86442716,86461184,86597152,86628849,86745499,87530731,87571339,87614834,87783057,87785620,87852448,88149002,88171819,88679131,88681874,88789552,88828157,88947259,89023219,89183225,89417670,89435851,89472931,89482910,89693899,89803411,89984491,90056419,90163771,90196269,90199411,90305899,90356436,90391565,90759859,90839997,90929372,90931219,91189530,91360600,91368331,91500379,91563944,91598659,91677002,91696291,91728691,92143339,92550002,92637629,92843718,92936131,92951110,92995099,93072074,93112171,93150276,93183444,93371371,93707899,93766154,93817771,93855932,93953491,94062725,94193251,94349851,94503859,94549749,94706045,94877539,95038025,95244572,95378848,95444830,95464339,95491274,95531731,95554051,95620579,95642611,95664571,96006139,96088651,96156280,96465030,96689059,96902899,96906716,97201994,97252171,97268832,97372274,97421796,97540819,97640611,97658277,97696051,97750339,98004499,98028331,98120779,98176219,98221514,98379979,98453419,98570851,98594179,98631619,98667259,98714131,98739331,98769211,98774971,98834004,98870731,98899459,98927971,98934379,98949139,98962099,98969011,98988811,98990179,99067154,99392285,99622776,99737637,99888246,...,741688067706782292940615748344167824676328088692168451653376188792792320658139181168525158291880671262268470510781583068557417296787281445369695126098494480273754657045789197321347361154856473039700625101788819687496551707997073125210938024268232751183083729141183032585341704394787239200082219304101032406297341549991105251459765367468586988908320761432524479242226502158267379187266865508366622953365825311840094065035238201153786751948793166153948502099532525221994344612480825184464171798060995096394041924689162332465298859463201046836483812864455110479402374396592432804243726760796027057899849588552326213153902744373385125522192592943446294836542071444078686947180387181487163121091638938814256506926723575184509308950163184938677819708831944168892376952318097232010970576655732690476428529083565338741356761632223392340500500341172706207456971926327313967279441682570815120227445065503777233162552469713645898704499979375009380443791729503023112358548241144727728492726137167455527649329674330063084730373606749827638054823016993376355203840889413410977645981347320355215017874251018438288986472086487291586081968214307458369784576727965842691119141677233370346708305639002401840371643095328537311040350335487068409122380984094611360184309211949740316506365115632136423109286683090158616371196621621259534954550345320252170819534466922243868099189758684379145869348271978825302723736798845555339048645299637452387394163750338818618251478211330456708615794897825023902199318271476505480183925605785396453344102154899228144013233923215735284308175461780660996973991272318828553290685587739710500226108567219292565160506802625678746134379534158807900553638570209088629233822482090141274045092588455393422344172416921591572205226701484615647381331345407160595286832684441190770055146331800968381852681894397287412087559744444741545200628582382016328904682938130283160818577191465745663389495772691200925678428962730830885126942822665968842582246513665394279476228350078597434474220296074476877958658373750631828433059750102869470738320232101521205299747014392801454311649664834519103482246344268497786965453358921747769938510844744390635731288045509783042191822798576561556569743978433457548529296297453923499510587210893637572068396716786365531479458204509787705601720404836704253622379255952001753759815399693389873298380856169616202021220637009906414413944553611977936812140199448891324841537716339740028738077368163801948299963173144830580523338078781943219476350523881323327394012880943618988067274017048549600210735713146266017941499154897884403623751188552202120677714078844334294396539514060681801101021491374233881707529708173798925038604324589280693649318423252539129956375567828475111240068229620829749345932642334703399501207021537847692965169721754902128212910308239612274438647669954492202970758148531669305015253535743520604970441951722194926007120769504732164537547211117617356240731948877347407629092300103523387598968597244208183687973375999268181751548241515531444101047122125516198444888953929138994808847323726276421438214744532933910692912536916529221643764637278808813389915084865611177281361609424443036710411505013617016265305347935364}
19901 202769072048026803592583596970938416527370772332194766963952081316442780: {417711,497275,596730,636512,696115,716076,835338,994450,1193340,1272896,1432008,1611009,1847631,2204571,2880715,3456858,4268395,4697103,5026351,5122074,5258395,5697811,5741563,5762091,6310074,6335659,7361011,7765651,8080171,8139730,8222395,8239503,8619674,9767676,9814298,9866874,10193395,10258831,10462531,10515730,10706331,10939003,11760303,12122851,12232074,12313820,12461871,12618876,12794348,13534915,13830571,13993651,14339642,14503771,14776584,15456139,15478639,15495115,16127132,16241898,16608812,16623657,16687963,16884691,17562428,17646715,17837059,18122671,18277640,18594138,19385179,19403515,19575058,19598515,19990930,20255018,20515594,20562345,20567708,21004474,21119131,21176058,21503631,21913178,21933168,22184474,23038760,23060863,23225691,23284218,23518218,23753756,23913003,23914291,23989116,24582811,24599451,24674814,25660412,25889530,25918605,26113388,26653611,26894383,27162163,27608911,27646512,27658354,27899258,27939211,28472719,28718395,28935740,29382440,29721032,29767771,30199279,30461803,30647395,31067436,31102326,31304540,32003036,32067091,32786479,32944090,32956915,33055245,33315739,33372562,33436161,33469963,33900043,34462074,34493395,34524698,34722888,35176531,35258928,35370511,35974363,36472431,36776874,37304840,37521451,37542956,37565448,37605074,37941115,38146971,38179651,38234443,38439338,38803090,39063249,39240619,39400172,39532908,39548298,39634665,39666294,39816111,40198664,40770259,40804315,41387599,41392074,41816731,41967945,42137395,42261129,42276976,42305276,42632191,42708115,43441363,43469211,43658515,43989931,44364476,44765808,44987395,45223497,45345763,45366715,45529338,45810130,45862843,45918632,45940442,45941971,46438671,46503715,46563708,47184125,47424603,47561598,47898619,48285811,48907651,48965178,49160239,49324291,49339915,49344092,49526059,49647633,49924988,50361534,50362845,50443898,50564874,50660395,51249738,51658461,51996211,52221512,52325103,52390218,52651363,53226698,53720368,53757788,53984874,54158984,54371371,54422395,54440058,54913340,54972156,55735315,55792892,55804458,55976563,56048018,56285960,56592236,56620950,56671915,56746531,57692671,58019611,58137674,58426412,58542115,58719871,58749201,58783503,59104325,59207898,59442602,59529514,59660601,59876648,59893618,60395680,60435414,60611419,60792474,60903130,60928857,62059090,62270515,62470843,62574428,62710291,63064058,63105583,63161131,63321705,63385915,63506863,63639356,64704442,64750243,64783483,65056315,65244218,65306874,65553871,65612395,65896008,65931763,66131791,66688111,66882378,67150041,67301131,67361229,67403611,67543152,67945140,68006298,68275711,68511871,68979730,69250971,69406088,69939525,70232395,70250538,70277228,70491560,70653331,70785115,70925190,71024525,71214319,71593544,72441115,72474816,72476012,72482971,73083756,73149596,73268474,73585005,73854331,74133009,74420851,74470908,74534851,74595631,74602160,74724618,75017899,75078344,75569674,75653536,75772508,75986046,76038140,76063098,76715931,76796840,76870892,77127919,77206915,77407178,77614042,77690858,78067578,78081849,78485395,78490672,78597451,78734874,78850315,79149811,79303005,79940525,80095791,80118451,80160079,80542737,80652091,80707503,81100783,81318351,81534168,81763915,81822019,81998611,82182991,82209212,82253354,82578931,82766794,82775676,83053820,83444779,83456492,83885530,83927430,83942395,84136745,84278874,84304915,84359631,84434750,84463137,84589872,84602024,84942138,85110228,85229430,85461116,85965979,86396445,86484991,86656411,86929338,87169929,87680091,87970954,88149451,88267219,88281003,88302006,88586953,88822915,88868396,89174611,89381714,89392040,89522592,89586130,89591145,89741839,90034028,90160939,90268028,90470121,90724090,90874351,90911392,91245768,91272603,91725939,91847791,92115343,92156208,92174901,92419315,92648298,92673691,92760303,92957395,93164443,93203203,93643531,93767491,94012591,94182474,94211515,94620378,94765231,94850492,94996605,95163606,95177277,95268730,95327978,95487098,95509148,95563888,95614591,95928630,96019099,96603051,96759823,97536730,97689691,97778091,98116698,98187034,98524459,98829883,98941711,99605119,99664584,99775951,99839912,99885212,99996163,...,1112532101560173439410923622516251737014492133038252677480064283189188480987208771752787737437821006893402705766172374602836125945180922168054542689147741720410631985568683795982021041732284709559550937652683229531244827561995609687816407036402349126774625593711774548878012556592180858800123328956151548609446012324986657877189648051202880483362481142148786718863339753237401068780900298262549934430048737967760141097552857301730680127923189749230922753149298787832991516918721237776696257697091492644591062887033743498697948289194801570254725719296682665719103561594888649206365590141194040586849774382828489319730854116560077688283288889415169442254813107166118030420770580772230744681637458408221384760390085362776763963425244777408016729563247916253338565428477145848016455864983599035714642793625348008112035142448335088510750750511759059311185457889490970950919162523856222680341167598255665849743828704570468848056749969062514070665687594254534668537822361717091592739089205751183291473994511495094627095560410124741457082234525490064532805761334120116466468972020980532822526811376527657433479708129730937379122952321461187554676865091948764036678712515850055520062458458503602760557464642992805966560525503230602613683571476141917040276463817924610474759547673448204634663930024635237924556794932431889302431825517980378256229301700383365802148784638026568718804022407968237954085605198268333008572967949456178581091245625508227927377217316995685062923692346737535853298977407214758220275888408678094680016153232348842216019850884823602926462263192670991495460986908478242829936028381609565750339162850828938847740760203938518119201569301238211850830457855313632943850733723135211911067638882683090133516258625382387358307840052226923471071997018110740892930249026661786155082719497701452572779022841595931118131339616667112317800942873573024493357024407195424741227865787198618495084243659036801388517643444096246327690414233998953263873369770498091419214342525117896151711330444111715316937987560625947742649589625154304206107480348152281807949620521589202181467474497251778655223369516402746680448180038382621654907766267116585953596932068264674563287734197864842334854615967650186322793944446180885249265880816340456358102595075179548297219187306764681558402580607255056380433568883928002630639723099540084809947571284254424303031830955514859621620916830417966905218210299173336987262306574509610043107116052245702922449944759717245870785007118172914829214525785821984991091019321415428482100911025572824400316103569719399026912248732346826605435626782828303181016571118266501441594809271091022701651532237061350822561294562260698387557906486883921040473977634878808694934563351742712666860102344431244624018898963502055099251810532306771539447754582632353192319365462359418411657971504931738304456137222797503957522880303615280907455662927583292389010681154257098246806320816676426034361097923316021111443638450155285081398452895866312275531960063998902272627322362273297166151570683188274297667333430893708492213270985589414632157322116799400866039368805374793832465646955918213220084872627298416765922042414136664555065617257520425524397958021903046}
19902 203556861510623848198732334084748956005211630118127757607432310387326824: {218801,258557,437558,556948,795640,814301,895095,954768,1074114,1113784,1170737,1210301,1253007,1491675,1591120,1644977,1763357,1790010,1866182,1909344,1999901,2148012,2157437,2341238,2463508,2747057,2939428,2943197,2982401,3217457,3803837,4235702,4609144,4738301,5185287,5415062,5745437,5885798,6262804,6478001,6823997,6825542,6829432,7015937,7528838,7682788,7683111,7819901,8163377,8392001,8413432,8430077,8544257,8962301,9303617,9397958,9465111,9682097,10097501,10135217,10986004,11000477,11450237,11599901,11824157,12209595,12383537,12415622,12569597,12929511,13023568,13126577,13155832,13274801,13569782,13792577,14030438,14161457,14275108,14566301,14651514,14721447,14800311,15392275,15665501,15680404,15702017,15773595,15811517,15992935,16309432,16615828,16782278,16825168,17238902,17625917,18150422,18348111,18470730,18597377,18605318,18740801,18928314,19191522,19491677,19702112,19740038,20025857,20158915,20192918,20761015,20841437,21194717,21509463,21617597,21655864,21934001,21953035,22164876,22459901,22844417,22847050,22984001,23122598,24190698,24362847,24510977,24690038,24792184,24913218,25234301,25577501,25709635,25885697,26005903,26056637,26343642,26772401,26908337,27416460,27416957,27582278,27891207,27991217,28126001,28234744,28428797,28467302,28671508,28798450,29129558,29244224,29299901,29362587,29500157,29692195,29986395,30382527,30430877,30773391,30851562,30967588,31045624,31250791,31289501,31327718,31357624,31486877,31506711,31546742,31764087,31815197,31884004,31913537,31985488,32075515,32306177,32641735,32799268,32857862,32869767,32899752,33276711,33574301,33729062,34026557,34412957,34558140,34702001,34926327,35173831,35277327,35373917,35469617,35538148,35630634,35680838,35692637,35788097,35978801,35983674,36112982,36169675,36422657,36728050,36801857,36862016,36992354,37012221,37151290,37190822,37556801,37588157,38026301,38213597,38490618,38834295,38907878,39130675,39170082,39269501,39609137,39976358,40003795,40178803,40377437,40988477,41253782,41262401,41423248,41466182,41469768,41487531,41747777,41848887,41899037,42170801,42892337,43160198,43403610,44073660,44143937,44214278,44262401,44424662,44581548,45117437,45660439,45693823,45893318,45907457,45949432,46024001,46297184,46343837,46430897,46601154,46604801,46631050,46633757,46653489,46720577,46928695,46956810,47005322,47011904,47389111,47771222,47928497,48004554,48282091,48602102,48629908,48754301,49035832,49250215,49416135,49432637,49854257,50058843,50087264,50248330,50302001,50463158,50692097,50719901,50862628,50969777,51025217,51693111,51787047,51798017,52084332,52392067,52710544,52731064,52846220,52881595,52885954,52888392,53088148,53130758,53486897,53567837,53837117,54132401,54159197,54400001,54760262,54773297,55165311,55166198,55171517,55189432,55455595,55752317,55957260,56314434,56348172,56407611,56746397,57006077,57187238,57290801,57398290,57589718,57659007,57831677,57908657,57934301,57958948,58204635,58470977,58993862,59100258,59299362,59322447,59499441,59584001,59609117,59687744,60059837,60184577,60297996,60705784,60706301,60730327,60788822,61592477,61680115,61918228,62084944,62088111,62176838,62406235,62540801,62644351,62757917,62782001,62926337,63232804,63415464,63457914,63476957,63619901,63762557,63857501,64542017,64706237,64776497,64916801,65126717,65276890,65286904,65405597,65518358,65693551,65908742,66166577,66196844,66304001,66418301,66546714,66555197,66623537,66646301,66782717,66896177,67148712,67150460,67197235,67419832,67698730,68108801,68294007,68308637,68332984,68641675,68662301,68679338,68715195,68772401,68818262,68877948,68904257,68910663,69515777,69741115,69766804,69845562,69853624,70206977,70357450,70421297,70740295,70805057,70847537,70931318,71342397,71480897,71504582,71753117,71979832,72499901,72586744,73033015,73216001,73296208,73398557,73447767,73595462,73701377,73842077,74016138,74022401,74026771,74241917,74405944,74618801,74737217,74845810,74887482,75012401,75090737,75105158,75305501,75494600,75542301,75665847,75674177,75847311,76174001,76250417,76345757,76418582,76762877,76874607,77138717,77168611,77213501,77474237,77862401,78218035,78301697,78332268,78378004,78428957,78585327,78682301,78836263,78943864,78952001,79023617,79059377,79209302,79219901,79547468,79549195,79840047,79925501,80132342,80532401,80549597,80580552,80601137,80636682,80977311,81056632,81238476,81315137,81365597,81660087,81708154,81965501,82212401,82359677,82370010,82458234,82636097,82926257,83261501,83362747,83425478,83618402,83640317,83689338,83706687,83749937,83983517,84072027,84292157,84331958,84353501,84428940,84512822,84521537,84582401,84693542,84749117,84888354,84931425,85034801,85109501,85465277,85772801,86263217,86334557,86757610,86772401,86981501,87050801,87075832,87206511,87257501,87269234,87359923,87543857,87598001,87639618,87846535,87861344,88114450,88145597,88198301,88277117,88455398,88576577,88663498,88811847,88837111,88973501,89049437,89112497,89163903,89176504,89294271,89341718,89491930,89523677,89533388,89707697,89814972,89840427,90010397,90057536,90082301,90213377,90224438,90260801,90390557,90593520,90595015,90653121,90675064,90774017,90911297,91013501,91188711,91227137,91354695,91436995,91525757,91689137,91904177,92168477,92251997,92334628,92570801,92646967,92676902,92772401,92921501,92960957,93088635,93127217,93156317,93198758,93252700,93300737,93367517,93593501,93667384,93677057,93723197,93847930,93861642,93914801,93950897,94065638,94138301,94191197,94217537,94348157,94365437,94519517,94566920,94596087,94620797,94715635,94950077,95014397,95047675,95070257,95101142,95188637,95366657,95459034,95480477,95525501,95555357,95599901,95680817,95788598,95854001,95996050,96029501,96088615,96193277,96468797,96633088,96675377,96712001,97056663,97123517,97145501,97258817,97274717,97306301,97363457,97429757,97445008,97534001,97558301,97587197,97658177,97740977,97768001,97866327,97960311,97965617,97977917,98006918,98046257,98113340,98116097,98138801,98142557,98194301,98197937,98208797,98303297,98417117,98515457,98652737,98686001,98722097,98760257,98793917,98828801,98844012,98847677,98899901,98908157,98918717,98920001,98927537,98931197,98948417,98969501,98974877,98977457,98979137,98989277,98996801,99000497,99002801,99008477,99021917,99026431,99294544,99632824,...,1668798152340260159116385433774377605521738199557379016220096424783782721480813157629181606156731510340104058649258561904254188917771383252081814033721612580615947978353025693973031562598427064339326406479024844296867241342993414531724610554603523690161938390567661823317018834888271288200184993434227322914169018487479986815784472076804320725043721713223180078295009629856101603171350447393824901645073106951640211646329285952596020191884784623846384129723948181749487275378081856665044386545637238966886594330550615248046922433792202355382088578945023998578655342392332973809548385211791060880274661574242733979596281174840116532424933334122754163382219660749177045631155871158346117022456187612332077140585128044165145945137867166112025094344871874380007848142715718772024683797475398553571964190438022012168052713672502632766126125767638588966778186834236456426378743785784334020511751397383498774615743056855703272085124953593771105998531391381802002806733542575637389108633808626774937210991767242641940643340615187112185623351788235096799208642001180174699703458031470799233790217064791486150219562194596406068684428482191781332015297637923146055018068773775083280093687687755404140836196964489208949840788254845903920525357214212875560414695726886915712139321510172306951995895036952856886835192398647833953647738276970567384343952550575048703223176957039853078206033611952356931128407797402499512859451924184267871636868438262341891065825975493527594385538520106303779948466110822137330413832613017142020024229848523263324029776327235404389693394789006487243191480362717364244904042572414348625508744276243408271611140305907777178802353951857317776245686782970449415776100584702817866601458324024635200274387938073581037461760078340385206607995527166111339395373539992679232624079246552178859168534262393896677197009425000668476701414310359536740035536610793137111841798680797927742626365488555202082776465166144369491535621350998429895810054655747137128821513787676844227566995666167572975406981340938921613974384437731456309161220522228422711924430782383803272201211745877667982835054274604120020672270057573932482361649400674878930395398102397011844931601296797263502281923951475279484190916669271327873898821224510684537153892612769322445828780960147022337603870910882584570650353325892003945959584649310127214921356926381636454547746433272289432431375245626950357827315448760005480893459861764415064660674078368554383674917139575868806177510677259372243821788678732977486636528982123142723151366538359236600474155354579098540368373098520239908153440174242454771524856677399752162392213906636534052477298355592026233841941843391047581336859730325881560710966452318213042401845027614069000290153516646866936028348445253082648877715798460157309171631873948529788479048193539127617486957257397607456684205834196255936284320455422921361183494391374938583516021731385647370209481225014639051541646884974031667165457675232927622097679343799468413297940095998353408940983543409945749227356024782411446501000146340562738319906478384121948235983175199101299059053208062190748698470433877319830127308940947625148883063621204996832598425886280638286596937032854569}
19903 204347690086925506592214069319660482361625419039264907499682193394111135: {656337,696185,835422,974561,994550,1193460,1273024,1392230,1432152,1611171,1670676,1988900,2386680,2545792,2685015,2799273,2864016,3079385,3222018,3511857,3674285,3695262,4033001,4409142,5761430,5940233,5975753,6353553,6417041,6772601,6913716,7361753,7487597,7828505,8122593,8536790,8679257,8828697,9394206,9549293,9603485,10052702,10238313,10244148,10516790,11293257,11395622,11483126,11511353,11524182,11693417,12124073,12620148,12671318,13732505,14096937,14270753,14505233,14722022,15457697,15531302,15914657,16160342,16210097,16279460,16444790,16479006,16886393,17217497,17239348,17838857,17843885,18292937,18623433,18948881,19067201,19535352,19600505,19628596,19733748,20354673,20386790,20517662,20769785,20925062,21031460,21045657,21412662,21693161,21878006,21977271,22573841,22909757,23520606,24245702,24464148,24587933,24627640,24705401,24923742,24958973,25173417,25237752,25588696,25858353,26727737,27069830,27164921,27225633,27437921,27661142,27706095,27806057,27907977,27987302,28392471,28679284,28787283,29007542,29052413,29553168,29610057,30202337,30289377,30531833,30912278,30957278,30990230,31226177,32254264,32483796,32562617,32628713,33217624,33247314,33375926,33649577,33769382,34270575,34465241,34683897,34940897,35049197,35124856,35180093,35293430,35674118,35690057,35839385,35978417,36237977,36245342,36286047,36555280,36646781,37035057,37188276,37369827,38709485,38747657,38770358,38807030,38853293,39150116,39197030,39515463,39855005,39981860,40042073,40205753,40206641,40510036,40999085,41031188,41124690,41135416,41373417,41801513,41820977,41918717,42008948,42238262,42352116,42659681,42700953,42906353,43007262,43197675,43582001,43694337,43826356,43866336,44343533,44368948,44422685,45679601,46077520,46121726,46139681,46277343,46375277,46451382,46568436,46851713,46991577,47036436,47320113,47507512,47826006,47828582,47978232,48290753,48473057,48912617,49165217,49165622,49198902,49286793,49349628,49419773,49522301,50235137,50593593,51320824,51779060,51837210,52226776,53117561,53307222,53445951,53460893,53521257,53788766,53975511,54169473,54324326,55092075,55217822,55293024,55316708,55488531,55632701,55726935,55786233,55798516,55878422,56945438,57023633,57126041,57436790,57698513,57735927,57871480,58361817,58530797,58755123,58764880,58845641,58992353,59442064,59535542,59791361,59964537,60398558,60787385,60923606,61042817,61121921,61294790,61880673,62134872,62199273,62204652,62562041,62609080,62982353,63513401,63578285,64006072,64134182,64740297,65105201,65105415,65125661,65572958,65888180,65913830,66057775,66110490,66321417,66360185,66601121,66631478,66636993,66745124,66779177,66872322,66939926,67800086,68839977,68924148,68986790,69049396,69075881,69215777,69445776,69901731,69946575,70353062,70435215,70507983,70517856,70584113,70741022,70924553,71631677,71656833,71948726,72006831,72448685,72903153,72944862,73432001,73553748,73688441,73919033,74609680,74644973,75025577,75042902,75085912,75130896,75210148,75316793,75372495,75694737,75882230,76191353,76293942,76359302,76468886,76517213,76878676,77397785,77606180,78029441,78126498,78155753,78178481,78225881,78481238,78800344,79041005,79065816,79096596,79269330,79328931,79332588,79340681,79632222,79658813,79696137,80397328,81540518,81608630,81958961,82006937,82140393,82431473,82587293,82746055,82749297,82775198,82784148,83303657,83442257,83633462,83935890,83938075,84162377,84274790,84471651,84522258,84553952,84610552,85264382,85416230,85661693,85780857,85813337,86097435,86384577,86882726,86938422,87178721,87208505,87317030,87390593,87654017,87979862,88158473,88276157,88490793,88650387,88657517,88728952,88740281,88949043,89531616,89771501,89974790,90079937,90081281,90170201,90446994,90691526,90733430,90883553,91058676,91078841,91151177,91183233,91620260,91725686,91837264,91857353,91880884,91883942,92338781,92572937,92753561,92877342,93007430,93127416,93265257,94310033,94368250,94849206,95123196,95186871,95237897,95624273,95797238,96571622,96660833,97125353,97815302,97915335,97930356,97972505,98277537,98320478,98325353,98616557,98648582,98679830,98688184,98863113,98951897,99052118,99099161,99295266,99434335,99589577,99820071,99849976,...,2225064203120346878821847245032503474028984266076505354960128566378376961974417543505575474875642013786805411532344749205672251890361844336109085378295483440821263971137367591964042083464569419119101875305366459062489655123991219375632814072804698253549251187423549097756025113184361717600246657912303097218892024649973315754379296102405760966724962284297573437726679506474802137561800596525099868860097475935520282195105714603461360255846379498461845506298597575665983033837442475553392515394182985289182125774067486997395896578389603140509451438593365331438207123189777298412731180282388081173699548765656978639461708233120155376566577778830338884509626214332236060841541161544461489363274916816442769520780170725553527926850489554816033459126495832506677130856954291696032911729967198071429285587250696016224070284896670177021501501023518118622370915778981941901838325047712445360682335196511331699487657409140937696113499938125028141331375188509069337075644723434183185478178411502366582947989022990189254191120820249482914164469050980129065611522668240232932937944041961065645053622753055314866959416259461874758245904642922375109353730183897528073357425031700111040124916917007205521114929285985611933121051006461205227367142952283834080552927635849220949519095346896409269327860049270475849113589864863778604863651035960756512458603400766731604297569276053137437608044815936475908171210396536666017145935898912357162182491251016455854754434633991370125847384693475071706597954814429516440551776817356189360032306464697684432039701769647205852924526385341982990921973816956485659872056763219131500678325701657877695481520407877036238403138602476423701660915710627265887701467446270423822135277765366180267032517250764774716615680104453846942143994036221481785860498053323572310165438995402905145558045683191862236262679233334224635601885747146048986714048814390849482455731574397236990168487318073602777035286888192492655380828467997906527746739540996182838428685050235792303422660888223430633875975121251895485299179250308608412214960696304563615899241043178404362934948994503557310446739032805493360896360076765243309815532534233171907193864136529349126575468395729684669709231935300372645587888892361770498531761632680912716205190150359096594438374613529363116805161214510112760867137767856005261279446199080169619895142568508848606063661911029719243241833660835933810436420598346673974524613149019220086214232104491405844899889519434491741570014236345829658429051571643969982182038642830856964201822051145648800632207139438798053824497464693653210871253565656606362033142236533002883189618542182045403303064474122701645122589124521396775115812973767842080947955269757617389869126703485425333720204688862489248037797927004110198503621064613543078895509165264706384638730924718836823315943009863476608912274445595007915045760607230561814911325855166584778021362308514196493612641633352852068722195846632042222887276900310570162796905791732624551063920127997804545254644724546594332303141366376548595334666861787416984426541971178829264314644233598801732078737610749587664931293911836426440169745254596833531844084828273329110131234515040851048795916043806092}
19904 205141569418434752042794247756446784529463076953067397825996545603514481: {258583,437602,517114,735079,854023,875116,1113896,1210423,1253133,1491825,1591280,1628602,1790190,1909536,2039503,2088345,2148228,2227568,2341474,2420602,2486125,2506014,2511679,2982703,2983350,3182240,3289954,3526714,3580020,3732364,3818688,3999802,4296024,4314874,4388863,4682476,4833027,4927016,5494114,5542893,5878856,5886394,5964802,6016279,6434914,6613713,7285063,7607674,7744279,8202343,8430943,8471404,8642145,8887279,9001183,9218288,9456079,9476602,10136263,10370574,10830124,11039143,11490874,11771596,12161263,12525608,12805185,12942463,12956002,13276183,13647994,13651084,13658864,14031874,14091309,15057676,15079053,15365576,15366222,15639802,15703663,15775185,16250503,16326754,16784002,16826864,16860154,17088514,17093433,17224689,17286273,17924602,18607234,18742783,18795916,18930222,19006977,19364194,20195002,20270434,20349325,20985079,21549185,21972008,22000954,22083033,22390109,22672183,22900474,23199802,23296953,23648314,24240513,24419190,24535745,24548143,24667185,24718509,24767074,24831244,25139194,25580263,25859022,26047136,26253154,26289325,26298463,26311664,26549602,26707279,26809303,27114943,27139564,27585154,28060876,28222481,28322914,28550216,29065421,29132602,29236279,29303028,29442894,29600622,30580185,30734249,30776493,30784550,30831223,31325863,31331002,31360808,31387593,31404034,31547190,31623034,31985870,32118993,32211679,32309743,32618864,32817009,33231656,33564556,33578023,33650336,34477804,34737943,35251834,35280909,35696623,35849105,35993489,36300844,36368553,36648103,36696222,36932753,36941460,37194754,37210636,37385613,37481602,37592383,37856628,38061823,38383044,38983354,39273943,39404224,39480076,40051714,40198063,40317830,40385836,40604745,41491713,41522030,41569073,41682874,41980953,42389434,42567079,43018926,43106863,43235194,43311728,43511313,43554703,43822543,43868002,43906070,44329752,44905721,44919802,45679279,45688834,45694100,45698429,45968002,46245196,46368417,46435917,46485345,46639183,47418079,47848279,48381396,48618103,48703279,48725694,48937645,49021954,49380076,49551079,49584368,49826436,49870971,49977325,50063889,50468602,50637545,50654073,50725903,51155002,51288985,51419270,51556423,51771394,52011806,52113274,52511185,52687284,52940145,52951783,53511177,53544802,53816674,53962337,54165703,54368013,54406543,54782945,54806503,54832920,54833914,55164556,55204663,55363423,55461185,55782414,55982434,56005313,56252002,56469488,56857279,56857594,56934604,57060653,57343016,57596900,57941383,58155537,58210545,58259116,58325143,58488448,58599802,58725174,58795545,59000314,59087263,59163079,59384390,59616463,59972790,60765054,60861754,61109023,61546782,61687035,61703124,61771279,61935176,62091248,62501582,62579002,62655436,62715248,62789863,62973754,63013422,63093484,63222079,63357393,63528174,63630394,63651703,63768008,63827074,63936679,63970976,64151030,64510893,64612354,64723825,65283470,65598536,65691679,65700173,65715724,65739534,65799504,66449623,66553422,66654823,67063279,67148602,67458124,67805383,68053114,68825914,68950301,69116280,69145885,69182589,69404002,69459583,69664177,69677073,69748145,69852654,70301983,70347662,70366279,70554654,70747834,70939234,71068783,71076296,71261268,71361676,71385274,71576194,71739009,71742873,71957602,71967348,72225964,72323743,72339350,72632983,72817663,72845314,73456100,73603714,73724032,73748433,73798353,73984708,74024442,74034233,74092279,74302580,74381644,75113602,75176314,75276679,75568279,76052602,76146079,76427194,76981236,77637833,77668590,77755815,77815756,77836279,78261350,78340164,78539002,78711223,79218274,79248703,79726279,79778983,79936663,79952716,79960833,80007590,80302063,80357606,80560903,80683149,80754874,80817943,81486489,81976954,81977143,82360225,82507564,82524802,82826733,82846496,82932364,82939536,82975062,83431405,83495554,83697774,83798074,83817633,83995663,84341602,85047223,85092079,85387753,85418157,85492543,85536679,85784674,85974079,86155185,86190079,86311745,86320396,86352161,86616679,86807220,87368729,87651679,87853279,88053079,88147320,88287874,88428556,88524802,88680343,88849324,89163096,89303313,89363983,89549743,90234874,90310279,90597837,91320878,91385409,91387646,91507279,91786636,91814914,91898864,91942185,92048002,92120143,92277103,92493823,92594368,92616079,92687674,92861794,93170129,93202308,93209602,93262100,93267514,93306978,93325423,93441154,93524503,93857390,93913620,94010644,94012685,94023808,94076129,94153783,94695079,94778222,94965943,95038303,95086183,95298079,95542444,95834623,95856994,96009108,96098345,96201273,96270079,96349423,96369079,96485503,96561679,96564182,96819223,96837079,96994543,97007725,97204204,97259816,97339279,97492279,97508602,97537789,97551463,97637561,97763143,98071664,98137903,98160583,98216023,98259079,98359437,98371543,98400703,98431201,98447863,98500430,98536783,98586679,98664079,98727583,98740903,98832270,98865274,98870745,98878279,98919103,98939263,98957623,99022423,99036413,99041863,99165735,99708514,99947217,...,3337596304680520318232770867548755211043476399114758032440192849567565442961626315258363212313463020680208117298517123808508377835542766504163628067443225161231895956706051387946063125196854128678652812958049688593734482685986829063449221109207047380323876781135323646634037669776542576400369986868454645828338036974959973631568944153608641450087443426446360156590019259712203206342700894787649803290146213903280423292658571905192040383769569247692768259447896363498974550756163713330088773091274477933773188661101230496093844867584404710764177157890047997157310684784665947619096770423582121760549323148485467959192562349680233064849866668245508326764439321498354091262311742316692234044912375224664154281170256088330291890275734332224050188689743748760015696285431437544049367594950797107143928380876044024336105427345005265532252251535277177933556373668472912852757487571568668041023502794766997549231486113711406544170249907187542211997062782763604005613467085151274778217267617253549874421983534485283881286681230374224371246703576470193598417284002360349399406916062941598467580434129582972300439124389192812137368856964383562664030595275846292110036137547550166560187375375510808281672393928978417899681576509691807841050714428425751120829391453773831424278643020344613903991790073905713773670384797295667907295476553941134768687905101150097406446353914079706156412067223904713862256815594804999025718903848368535743273736876524683782131651950987055188771077040212607559896932221644274660827665226034284040048459697046526648059552654470808779386789578012974486382960725434728489808085144828697251017488552486816543222280611815554357604707903714635552491373565940898831552201169405635733202916648049270400548775876147162074923520156680770413215991054332222678790747079985358465248158493104357718337068524787793354394018850001336953402828620719073480071073221586274223683597361595855485252730977110404165552930332288738983071242701996859791620109311494274257643027575353688455133991332335145950813962681877843227948768875462912618322441044456845423848861564767606544402423491755335965670108549208240041344540115147864964723298801349757860790796204794023689863202593594527004563847902950558968381833338542655747797642449021369074307785225538644891657561920294044675207741821765169141300706651784007891919169298620254429842713852763272909095492866544578864862750491253900715654630897520010961786919723528830129321348156737108767349834279151737612355021354518744487643577357465954973273057964246285446302733076718473200948310709158197080736746197040479816306880348484909543049713354799504324784427813273068104954596711184052467683883686782095162673719460651763121421932904636426084803690055228138000580307033293733872056696890506165297755431596920314618343263747897059576958096387078255234973914514795214913368411668392511872568640910845842722366988782749877167032043462771294740418962450029278103083293769948063334330915350465855244195358687598936826595880191996706817881967086819891498454712049564822893002000292681125476639812956768243896471966350398202598118106416124381497396940867754639660254617881895250297766127242409993665196851772561276573193874065709138}
19905 205938511190933129442861101647037258140651884247887393710247823095495427: {656403,775671,974659,1093895,1312674,1392370,1670844,1949122,1989100,2386920,2442903,2546048,2685285,2784460,2864304,3222342,3341352,3512211,3630903,3759021,3977800,4311139,4475025,4665455,4773360,4934931,5091584,5143999,5290071,5370030,5598546,5728032,5853095,5999703,6158770,6444036,6472311,7023714,7171987,7348570,7390524,8003983,8066002,8241171,8818284,8829591,8947203,8953703,9652371,10589255,10959907,11411511,11522860,11567303,11880466,11951506,12707106,12834082,13241951,13444879,13537655,13545202,13827432,14214903,14714495,14723506,14975194,15555861,15657010,15852959,16211731,16245186,17063855,17073580,17236311,17358514,17657394,18710063,18788412,18808231,18822095,19069123,19098586,19206970,19225507,19434003,20105404,20347951,20471991,20476626,20488296,21033580,21047811,21990023,22586514,22791244,22966252,23022706,23048364,23049333,23386834,23459703,23494895,24248146,24490131,24981439,25176003,25229587,25240296,25290231,25342636,25632771,26886903,27440707,27465010,27480631,27910851,28193874,28395333,28478483,28541506,29010466,29046291,29077699,29444044,30292503,30405651,30915394,31039055,31062604,31829314,32320684,32420194,32558920,32889580,32958012,33001431,33772786,33924455,34350711,34434994,34478696,34799703,35076095,35472471,35677714,35687770,35693671,36238499,36585874,36628785,36645331,37150611,37246866,37466383,37708791,37897762,38134402,38788533,39070704,39201010,39257192,39379731,39467496,39824403,40516271,40709346,40773580,40958167,41035324,41377731,41539570,41850124,41955695,42062920,42091314,42484371,42683399,42825324,43097255,43386322,43698903,43756012,43954542,44164341,44400933,44809663,45147682,45376055,45819514,46000079,46176825,46513295,46996503,47041212,47106051,47320785,47434551,47641751,47678467,47978805,48491404,48928296,49086679,49175866,49255280,49350095,49410802,49424791,49847484,49917946,49998887,50175139,50346834,50391143,50475504,50482295,51177392,51716706,51938023,52877751,53455474,53984983,54139660,54193279,54329842,54451266,54875842,55044333,55322284,55412190,55612114,55792131,55797007,55815954,55974604,56222403,56784942,57117625,57358568,57398719,57574566,57617423,57806495,58015084,58104826,58475031,59106336,59220114,59469439,59509763,59974487,60077571,60404674,60476745,60578754,61063666,61725095,61824556,61892711,61914556,61980460,62191759,62283045,62452354,62524311,63584151,63956159,64508528,64528389,64763351,64852791,64967592,65125234,65257426,65802003,65859105,66435248,66494628,66751852,66993443,67299154,67379703,67538764,68264999,68533251,68541150,68930482,68952003,68955695,69367794,69881794,70098394,70249712,70360186,70586860,71168255,71348236,71380114,71678770,71956834,71996125,72141511,72475954,72490684,72572094,72823895,73088541,73110560,73293562,73532931,74070114,74376552,74436547,74739654,75702903,75871799,75877703,76732503,77128905,77418970,77495314,77540716,77614060,77657091,77706586,78017709,78169911,78300232,78319295,78394060,78422111,78423047,78866855,79030926,79688047,79710010,79963720,80084146,80317203,80411506,80413282,80725011,80828599,81020072,81838583,81998170,82062376,82144655,82249380,82250871,82270832,82746834,83603026,83641954,83673621,83837434,83973651,84017896,84322655,84378003,84476524,84704232,85102339,85240367,85286391,85319362,85401906,85812706,86014524,86395350,87164002,87388674,87512611,87652712,87732672,87899703,88087761,88500471,88666591,88687066,88737896,88845370,89009599,89076585,89202095,89959185,90282455,91147581,91292631,91359202,91506383,91820125,92155040,92243452,92274083,92279362,92320173,92480885,92554686,92582311,92750554,92878225,92902764,92904259,92977055,93136872,93222071,93703426,93752373,93868503,93983154,94072872,94460631,94520133,94640226,95015024,95292261,95445591,95450687,95652012,95657164,95740611,95956464,95962639,96226545,96581506,96779411,96918531,96946114,97269695,97825234,97925205,98330434,98331244,98397804,98544743,98573586,98609301,98699256,98839546,99044602,99327779,99625283,99796499,99830133,99940895,...,5006394457020780477349156301323132816565214598672137048660289274351348164442439472887544818470194531020312175947775685712762566753314149756245442101164837741847843935059077081919094687795281193017979219437074532890601724028980243595173831663810571070485815171702985469951056504664813864600554980302681968742507055462439960447353416230412962175131165139669540234885028889568304809514051342181474704935219320854920634938987857857788060575654353871539152389171844545248461826134245569995133159636911716900659782991651845744140767301376607066146265736835071995735966027176998921428645155635373182640823984722728201938788843524520349597274800002368262490146658982247531136893467613475038351067368562836996231421755384132495437835413601498336075283034615623140023544428147156316074051392426195660715892571314066036504158141017507898298378377302915766900334560502709369279136231357353002061535254192150496323847229170567109816255374860781313317995594174145406008420200627726912167325901425880324811632975301727925821930021845561336556870055364705290397625926003540524099110374094412397701370651194374458450658686583789218206053285446575343996045892913769438165054206321325249840281063063266212422508590893467626849522364764537711761576071642638626681244087180660747136417964530516920855987685110858570660505577195943501860943214830911702153031857651725146109669530871119559234618100835857070793385223392207498538578355772552803614910605314787025673197477926480582783156615560318911339845398332466411991241497839051426060072689545569789972089328981706213169080184367019461729574441088152092734712127717243045876526232828730224814833420917723331536407061855571953328737060348911348247328301754108453599804374972073905600823163814220743112385280235021155619823986581498334018186120619978037697872237739656536577505602787181690031591028275002005430104242931078610220106609832379411335525396042393783227879096465665606248329395498433108474606864052995289687430163967241411386464541363030532682700986998502718926220944022816764841923153313194368927483661566685268135773292347151409816603635237633003948505162823812360062016810172721797447084948202024636791186194307191035534794803890391790506845771854425838452572750007813983621696463673532053611461677838307967337486342880441067012811612732647753711951059977676011837878753947930381644764070779144909363643239299816868297294125736880851073481946346280016442680379585293245193982022235105663151024751418727606418532532031778116731465366036198932459909586946369428169454099615077709801422466063737295621105119295560719724460320522727364314574570032199256487176641719909602157431895066776078701525825530173142744010579190977644682132899356954639127205535082842207000870460549940600808085045335759247946633147395380471927514895621845589365437144580617382852460871772192822370052617502588767808852961366268764083550483174124815750548065194156942110628443675043917154624940654922095001496373025698782866293038031398405239893820287995060226822950630229837247682068074347234339503000439021688214959719435152365844707949525597303897177159624186572246095411301631959490381926822842875446649190863614990497795277658841914859790811098563707}
19906 206738527134647979014175882210190530203038028687757547027625442882213021: {338113,517166,875204,1034228,1052209,1470158,1708046,1750232,1969011,2088555,2227792,2236609,2420846,2486375,2506266,2923683,2983650,3182560,3257204,3296413,3480575,3531133,3580380,3819072,3882673,4079006,4176690,4296456,4455136,4682948,4833513,4841204,4972250,5012028,5023358,5965406,5966700,6364480,6579908,6786973,6902209,7053428,7160040,7464728,7637376,7999604,8055045,8397819,8592048,8622109,8629748,8736193,8777726,9238155,9305533,9364952,9666054,9759709,9854032,10535571,10988228,11022855,11085786,11340253,11757712,11772788,11901313,11929604,12032558,12099003,12460573,12869828,13227426,14238109,14403575,14570126,15215348,15488558,15778333,16404686,16861886,16942808,17284290,17774558,17820699,17927259,17954173,18002366,18436576,18912158,18953204,19060659,19251123,20272526,20317803,20739709,20741148,20845873,21341975,21660248,21798109,22078286,22085259,22219453,22324609,22462791,22981748,23485515,23543192,23997313,24322526,24367779,24516253,25051216,25131755,25342813,25610370,25884926,25912004,26037771,26291975,26486091,26552366,27295988,27302168,27317728,27490609,28063748,28182618,28489055,28502209,28647879,28707815,28810455,29606653,29906353,30115352,30158106,30168859,30714939,30731152,30732444,31279604,31407326,31550370,31678295,32378653,32501006,32653508,33354973,33568004,33653728,33720308,33879771,34177028,34186866,34350043,34449378,34534059,34572546,34998193,35080251,35764273,35849204,35859709,36372219,36805055,36904753,37214468,37376893,37485566,37591832,37860444,38013954,38728388,38828255,39525553,40390004,40400855,40447873,40540868,40631473,40698650,40866419,40997809,41111975,41197515,41970158,42270913,42290811,42361309,42812259,43098370,43515699,43647799,43944016,44001908,44166066,44686333,44780218,45344366,45800948,46373091,46399604,46441693,46593906,47296628,47739313,47743971,48481026,48630291,48838380,49020733,49071490,49096286,49334370,49437018,49534148,49662488,49697533,50188747,50202109,50278388,50285953,50659179,50966975,51037309,51160526,51294155,51652491,51718044,51865309,52094272,52312655,52358653,52506308,52578650,52596926,52623328,53099204,53414558,53499709,53516571,53531655,53618606,54225793,54229886,54279128,54695015,54786493,54878811,55170308,55273163,55581373,55870299,56121752,56290609,56444962,56645828,56846643,57100432,57201603,58130842,58153393,58265204,58472558,58606056,58801515,58885788,59201244,59674033,60199453,60614255,60795613,60943933,61064019,61160370,61239709,61468498,61552986,61569100,61607809,61662446,62309355,62651726,62662004,62721616,62775186,62808068,62990173,63094380,63136971,63138119,63246068,63773671,63849853,63971740,64237986,64423358,64619486,65079483,65189809,65237728,65259613,65468593,65634018,65931813,66463312,66640573,67129112,67156046,67300672,67522753,67674575,67721523,68326273,68512703,68729271,68922109,68955608,69152855,69250609,69475886,69577309,69837373,69968255,70503668,70561818,70802353,70866109,70892563,71183809,71247133,71393246,71698210,71804579,71813809,71986978,72498493,72518855,72601688,72737106,73296206,73392444,73418113,73515659,73763799,73865506,73882920,73901953,74116203,74202013,74389508,74421272,74468603,74619073,74771226,74876919,74914813,74963204,75184766,75520251,75713256,75964573,76022209,76123646,76366513,76696123,76766088,76821553,77159809,77215933,77280695,77393195,77475575,77575059,77645659,77966708,78213853,78486913,78547886,78808448,78960152,79081309,79401853,80103428,80183211,80396126,80606593,80635660,80771672,81209490,81494763,81676899,82219393,82313763,82330391,82611073,82950013,82983426,83044060,83118285,83138146,83365748,83418171,83439815,83664433,83723931,83805373,83961906,84423455,84546109,84778868,84954673,85134158,85177413,85401793,85622653,85928833,86037852,86102209,86213726,86361849,86470388,86623456,86784193,87022626,87109406,87157239,87610753,87645086,87736004,87812140,88233575,88408513,88603453,88659504,88830171,88987933,89139709,89185295,89476993,89514109,89551153,89735293,89811442,89839604,90026173,90241309,90418609,90607011,90613355,90868131,91358558,91377668,91388200,91396858,91444609,91595499,91739773,91772209,91936004,92490392,92711809,92736834,92871834,92970690,93186433,93278366,93330973,93416833,93445309,93678531,93726109,93999709,94239793,94396609,94836158,94925053,94997953,95283073,95398813,95433371,95602609,95691313,95696558,95713309,96239809,96609853,96721309,96762792,96804239,96925895,96988609,97017575,97057153,97236206,97303933,97398109,97406558,97451388,97474609,97607773,97647403,97687851,97776253,97816753,97843393,97875290,97886139,97992575,98021809,98043908,98093953,98262973,98441123,98453809,98552413,98626609,98730433,98760152,98777053,98831809,98837533,99018109,99027613,99039709,99049213,99102158,99168736,99652872,99741942,99954650,...,6675192609361040636465541735097510422086952798229516064880385699135130885923252630516726424626926041360416234597034247617016755671085533008327256134886450322463791913412102775892126250393708257357305625916099377187468965371973658126898442218414094760647753562270647293268075339553085152800739973736909291656676073949919947263137888307217282900174886852892720313180038519424406412685401789575299606580292427806560846585317143810384080767539138495385536518895792726997949101512327426660177546182548955867546377322202460992187689735168809421528354315780095994314621369569331895238193540847164243521098646296970935918385124699360466129699733336491016653528878642996708182524623484633384468089824750449328308562340512176660583780551468664448100377379487497520031392570862875088098735189901594214287856761752088048672210854690010531064504503070554355867112747336945825705514975143137336082047005589533995098462972227422813088340499814375084423994125565527208011226934170302549556434535234507099748843967068970567762573362460748448742493407152940387196834568004720698798813832125883196935160868259165944600878248778385624274737713928767125328061190551692584220072275095100333120374750751021616563344787857956835799363153019383615682101428856851502241658782907547662848557286040689227807983580147811427547340769594591335814590953107882269537375810202300194812892707828159412312824134447809427724513631189609998051437807696737071486547473753049367564263303901974110377542154080425215119793864443288549321655330452068568080096919394093053296119105308941617558773579156025948972765921450869456979616170289657394502034977104973633086444561223631108715209415807429271104982747131881797663104402338811271466405833296098540801097551752294324149847040313361540826431982108664445357581494159970716930496316986208715436674137049575586708788037700002673906805657241438146960142146443172548447367194723191710970505461954220808331105860664577477966142485403993719583240218622988548515286055150707376910267982664670291901627925363755686455897537750925825236644882088913690847697723129535213088804846983510671931340217098416480082689080230295729929446597602699515721581592409588047379726405187189054009127695805901117936763666677085311495595284898042738148615570451077289783315123840588089350415483643530338282601413303568015783838338597240508859685427705526545818190985733089157729725500982507801431309261795040021923573839447057660258642696313474217534699668558303475224710042709037488975287154714931909946546115928492570892605466153436946401896621418316394161473492394080959632613760696969819086099426709599008649568855626546136209909193422368104935367767373564190325347438921303526242843865809272852169607380110456276001160614066587467744113393781012330595510863193840629236686527495794119153916192774156510469947829029590429826736823336785023745137281821691685444733977565499754334064086925542589480837924900058556206166587539896126668661830700931710488390717375197873653191760383993413635763934173639782996909424099129645786004000585362250953279625913536487792943932700796405196236212832248762994793881735509279320509235763790500595532254484819987330393703545122553146387748131418276}
19907 207541629024420287089153639871342778842804668667528003307137550902900447: {775749,1094005,1292785,1312806,1531453,1551342,1949318,2187790,2205237,2562069,2625348,2784740,3341688,3631269,3759399,3898244,3978200,4071505,4475475,4773840,4885806,5092096,5370570,5568920,5728608,5853685,6051505,6118509,6265035,6337573,6444684,6531637,6682704,7024422,7261806,7458375,7518042,7535037,7767997,7955600,8194333,8224885,8622278,8816785,8948109,8950050,9330910,9390469,9546720,9791473,9869862,9999505,10183168,10287998,10506469,10580142,10581649,10740060,10787185,11197092,11456064,11568469,11706190,11999406,12317540,12487537,12888072,12944622,13166589,13670449,13735285,14047428,14155189,14343974,14499081,14697140,14715985,14781048,14824957,14912005,15854557,16007966,16087285,16132004,16482342,16628679,17636568,17659182,17718013,17894406,17907406,18048837,18089269,18711949,18952717,19019185,19304742,19622749,19841139,20600293,21178510,21289393,21855189,21919814,22425469,22823022,23045720,23134606,23232837,23691505,23760932,23889397,23903012,23921533,24607029,25292829,25414212,25668164,25926435,25988209,26350933,26483902,26661837,26889758,27003549,27075310,27090404,27654864,28368237,28429806,28727185,29428990,29447012,29776813,29950388,29958913,30408789,31111722,31314020,31705918,32354629,32390005,32423462,32490372,32638657,32892853,33117429,33656389,33910309,34089253,34119985,34127710,34147160,34472622,34717028,35079685,35314788,36483789,37420126,37576824,37616462,37644190,37800109,37991617,38138246,38191213,38197172,38413940,38415555,38451014,38822773,38827389,38868006,39099505,39828549,40210808,40695902,40816885,40943982,40953252,40976592,41960005,42067160,42095622,42150385,42273927,42668317,42687733,42721285,42827317,43053649,43116733,43454677,43766917,43980046,44003293,44811505,45173028,45237159,45582488,45932504,46004737,46045412,46096728,46098666,46518085,46671613,46773668,46919406,46989790,47110989,47325555,47494237,48410485,48496292,48671197,48751509,48980262,49106533,49962878,50352006,50444017,50459174,50480592,50487505,50580462,50670013,50676085,50685272,50927389,51265542,51280299,51411853,51674067,51858819,53773806,54663517,54881414,54908173,54930020,54961262,55002385,55621009,55821702,55881109,56228349,56387748,56790666,56956966,57020931,57083012,57251185,57926833,57987697,57999505,58020932,58092582,58155398,58737973,58888088,59120785,59240449,59515789,59553169,60336157,60428029,60585006,60644593,60811302,61047975,61830788,61917685,62078110,62125208,62328157,62847985,62955237,63180469,63526477,63658628,63962653,63990769,64625857,64641368,64647555,64840388,65117840,65118613,65632885,65779160,65916024,66002862,66249099,66374005,67030309,67170327,67424269,67545572,67848910,68016549,68701422,68869988,68957392,68962885,69090133,69229789,69599406,69890859,70152190,70675213,70807285,70944942,71234197,71355428,71375540,71387342,71480413,72166273,72476998,72505213,72721539,72742933,72831505,73171748,73257570,73290662,73607235,73644429,74001555,74155527,74301222,74493732,74932766,75417582,75732997,75795524,75885469,76268804,76540273,76740789,76961375,77150077,77577066,78141408,78241717,78327505,78402020,78510085,78514384,78759462,78867975,78895389,78934992,79057585,79174069,79567909,79648806,79964675,80121837,80427909,80676817,80929093,81032542,81344829,81418692,81547160,81916334,82070648,82755462,82845853,83079140,83459149,83470453,83700248,83831533,83911390,84125840,84182628,84667443,84797893,84968742,85366798,85650648,85830709,86194510,86384533,86415133,86682733,86772644,87196263,87397806,87512024,87708837,87909084,88129585,88328682,88801866,89201797,89619326,89673649,89769493,90099517,90295364,90752110,91119013,91515649,91639028,91740555,92000158,92202747,92329479,92353650,92493669,92702269,92986885,93026590,93672193,93704005,93795973,93957853,93977589,93993006,94082424,94162779,94212102,94641570,94869102,95283502,95356934,95674933,95957610,95970109,96048733,96356979,96537973,96635037,96929229,96982808,97458385,97612657,97856592,98173358,98351732,98451027,98510560,98700190,98821604,98849582,98972269,99337837,99635557,99694968,99806773,99835892,99997774,...,10012788914041560954698312602646265633130429197344274097320578548702696328884878945775089636940389062040624351895551371425525133506628299512490884202329675483695687870118154163838189375590562386035958438874149065781203448057960487190347663327621142140971630343405970939902113009329627729201109960605363937485014110924879920894706832460825924350262330279339080469770057779136609619028102684362949409870438641709841269877975715715576121151308707743078304778343689090496923652268491139990266319273823433801319565983303691488281534602753214132292531473670143991471932054353997842857290311270746365281647969445456403877577687049040699194549600004736524980293317964495062273786935226950076702134737125673992462843510768264990875670827202996672150566069231246280047088856294312632148102784852391321431785142628132073008316282035015796596756754605831533800669121005418738558272462714706004123070508384300992647694458341134219632510749721562626635991188348290812016840401255453824334651802851760649623265950603455851643860043691122673113740110729410580795251852007081048198220748188824795402741302388748916901317373167578436412106570893150687992091785827538876330108412642650499680562126126532424845017181786935253699044729529075423523152143285277253362488174361321494272835929061033841711975370221717141321011154391887003721886429661823404306063715303450292219339061742239118469236201671714141586770446784414997077156711545105607229821210629574051346394955852961165566313231120637822679690796664932823982482995678102852120145379091139579944178657963412426338160368734038923459148882176304185469424255434486091753052465657460449629666841835446663072814123711143906657474120697822696494656603508216907199608749944147811201646327628441486224770560470042311239647973162996668036372241239956075395744475479313073155011205574363380063182056550004010860208485862157220440213219664758822671050792084787566455758192931331212496658790996866216949213728105990579374860327934482822772929082726061065365401973997005437852441888045633529683846306626388737854967323133370536271546584694302819633207270475266007897010325647624720124033620345443594894169896404049273582372388614382071069589607780783581013691543708851676905145500015627967243392927347064107222923355676615934674972685760882134025623225465295507423902119955352023675757507895860763289528141558289818727286478599633736594588251473761702146963892692560032885360759170586490387964044470211326302049502837455212837065064063556233462930732072397864919819173892738856338908199230155419602844932127474591242210238591121439448920641045454728629149140064398512974353283439819204314863790133552157403051651060346285488021158381955289364265798713909278254411070165684414001740921099881201616170090671518495893266294790760943855029791243691178730874289161234765704921743544385644740105235005177535617705922732537528167100966348249631501096130388313884221256887350087834309249881309844190002992746051397565732586076062796810479787640575990120453645901260459674495364136148694468679006000878043376429919438870304731689415899051194607794354319248373144492190822603263918980763853645685750893298381727229980995590555317683829719581622197127414}
19908 208347828679873166301503438098640093170779684063823956353362317378578705: {338147,377891,676226,814547,933467,1034332,1329347,1750408,1763891,1969209,2068456,2104418,2118707,2327013,2590787,2923977,2940316,2944091,3100907,3281685,3416092,3480925,3500464,3570587,3765947,3922091,3938022,4156067,4177110,4455584,4467587,4473218,4841692,4872805,4972750,5012532,5847366,5967300,6094667,6365120,6479987,6514408,6592826,6595427,6826091,6961150,7062266,7160760,7171547,7328709,7638144,7765346,7822307,8055855,8158012,8165891,8353380,8394587,8546891,8592912,8910272,8965067,9078947,9306491,9365896,9458027,9533747,9667026,9682408,9944500,10024056,10046716,10100627,10536633,10892709,11277063,11566091,11715707,11930812,11933400,11939891,12350147,12685091,12728960,12933417,13019387,13159816,13425075,13464107,13573946,13804418,13944587,13996365,14106856,14320080,14386907,14717891,14804793,14929456,15048227,15274752,15396925,15431997,15670427,15779987,15816491,15870213,15998891,15999208,16110090,16326707,16690187,16795638,17184096,17233907,17244218,17259496,17472386,17555452,17559285,17631491,17999109,18371425,18476310,18611066,18729904,18746747,18854267,19069091,19332108,19416933,19519418,19604891,19708064,19783091,20138891,20165005,21071142,21515961,21589307,21976456,22045710,22171572,22680506,22746947,22956491,23096027,23515424,23545576,23802626,23859208,24011949,24034547,24065116,24198006,24553427,24723513,24921146,25345547,25739656,26372387,26454852,26488773,26713067,26781107,26841609,26861109,27290387,27797867,28476218,28740347,28807150,28941491,28957113,29140252,29242667,29309507,29409707,29609891,29643227,29701165,29878765,30241907,30430696,30904067,30977116,31102091,31556666,31767765,31924091,32085205,32218787,32382227,32414891,32773667,32809372,32879721,33098987,33358667,33585467,33682547,33723772,33863005,33885616,34234533,34568580,34701909,34713587,35002091,35034107,35184457,35481491,35549116,35609027,35641398,35768267,35800091,35854518,35908346,36004732,36086147,36244787,36808765,36873152,36908891,37097987,37437985,37824316,37906408,38121318,38351267,38502246,38631491,39142525,39560891,39725853,39745907,39884677,40190941,40207187,40334637,40545052,40612965,40635606,40636091,40666667,41093891,41367707,41479418,41482296,41691746,41852891,42004091,42185267,42275747,42576827,42636947,42644709,42683950,42907091,43176587,43320496,43396285,43596218,43832627,43981187,44143485,44156572,44170518,44248091,44349613,44366507,44438906,44649218,44868347,44925582,45133091,45250547,45674233,45963496,46127387,46447091,46667583,46736891,46971030,47054747,47086384,47170091,47558877,47746465,47773547,47916707,47994626,48017425,48296677,48635193,48645052,48735558,48771467,49026491,49032506,49139627,49280867,49703387,50102432,50263510,50319827,50685626,50987891,51191565,51220740,51237227,51527077,51708933,51769852,51816491,51824008,52075542,52392227,52583950,52972182,53018747,53104732,53587091,53694947,54151907,54232307,54259091,54359557,54591976,54604336,54635456,54819707,54981218,55429667,55614467,55982891,56127496,56130189,56365236,56424693,56466285,56561197,56871107,56923067,56978110,57004418,57207369,57295758,57311747,57415630,57556765,57620910,57676521,57775787,57929891,58032467,58186091,58302009,58467085,58797707,59213306,59455091,59681387,59812706,59856947,60206891,60230704,60316212,60337718,60620365,60803147,60827891,61043853,61173467,61415973,61429878,61462304,61464888,61468427,61786667,61835507,62515907,62559208,62636747,62814652,63100740,63143433,63356590,63500891,63643907,63715307,63857891,63881627,63952787,64213091,64707347,64757306,64801091,64941467,65002012,65307016,65322829,65500091,65708387,65970069,66306491,66443747,66649091,66671867,66709946,66989891,67136008,67307456,67418987,67440616,67553891,67666091,67755707,67759542,68201867,68354056,68373732,68662525,68688947,68700086,68755067,68865107,68898756,69068118,69128387,69145092,69147999,69412307,69521147,69846467,69868091,69996386,70160502,70379109,70484685,70566133,70641227,70811627,70832891,70939091,71353765,71382947,71528546,71697827,71698408,71719418,71811817,72094091,72384227,72526165,72528707,72693347,72744438,72836987,73237717,73306187,73470393,73610110,73809506,74052107,74112107,74231891,74428936,74617777,74648867,74747627,74753786,74924891,74944317,74971132,75183664,75296987,75335987,75394427,75528009,75688761,75720888,75870693,76027908,76166747,76205027,76567091,76573021,76898313,77226491,77245187,77288485,77456776,77656510,77857667,77894507,78515891,78984827,79038587,79051106,79252907,79306307,79412891,79430627,79573285,79958987,80617907,80635091,80660709,80780008,80801710,80895746,80994107,81050485,81079067,81081736,81262946,81397300,81400091,81732838,81834707,81995618,82000427,82049987,82223950,82247507,82296707,82322121,82395030,82441893,82476491,82622867,83345027,83503307,83676491,83732553,83940316,83973347,84066491,84236507,84431965,84541826,84581622,84619307,84722618,84859957,84967067,84982091,85072067,85116947,85146827,85185999,85206491,85435449,85624518,85810667,85854347,86087485,86196740,86600027,86811107,87031398,87089747,87138873,87233097,87295598,87623891,87637427,87677987,87704987,87826091,87888032,88003816,88008349,88225091,88332132,88356491,88421891,88434947,88733027,88886867,89014187,89194285,89219425,89372666,89560436,89577227,89749091,89797907,90052091,90159947,90302747,90338267,90361907,90467891,90688732,90816491,90877509,90988091,91090187,91216953,91225307,91425827,91464685,91558067,91601891,91601896,91700027,92022467,92075507,92201987,92399891,92615267,92645747,92746182,92799208,92817107,92847107,92883386,92996027,93055091,93094307,93117165,93143147,93187812,93201491,93355667,93573707,93722891,93860891,93915587,94264091,94394891,94593256,94726547,94744405,94867307,94973387,95013827,95062091,95306867,95336005,95478626,95487942,95528891,95573987,95596427,95648507,95973947,96037091,96071891,96113387,96303227,96316547,96382667,96441491,96632891,96725891,96813997,96853067,96962052,97079891,97240667,97260582,97273091,97299553,97326491,97373867,97430891,97586387,97601027,97625267,97676760,97798427,97834427,97838891,97861091,97887467,97955557,98002525,98031491,98041466,98076107,98111891,98115827,98142980,98170091,98192572,98248547,98263091,98368091,98398187,98414627,98512091,98544827,98573747,98596307,98623787,98629187,98668667,98668740,98678891,98706347,98716091,98749187,98798027,98808587,98856491,98874036,98909891,98919707,98947427,98969891,98989091,98996267,99004293,99016067,99035891,99040091,99047147,99047891,99063347,99066491,99068296,99068891,99075227,99079307,99081947,99324976,99395066,...,15019183371062341432047468903969398449695643796016411145980867823054044493327318418662634455410583593060936527843327057138287700259942449268736326303494513225543531805177231245757284063385843579053937658311223598671805172086940730785521494991431713211457445515108956409853169513994441593801664940908045906227521166387319881342060248691238886525393495419008620704655086668704914428542154026544424114805657962564761904816963573573364181726963061614617457167515533635745385478402736709985399478910735150701979348974955537232422301904129821198438797210505215987207898081530996764285935466906119547922471954168184605816366530573561048791824400007104787470439976946742593410680402840425115053202105688510988694265266152397486313506240804495008225849103846869420070633284441468948222154177278586982147677713942198109512474423052523694895135131908747300701003681508128107837408694072059006184605762576451488971541687511701329448766124582343939953986782522436218025260601883180736501977704277640974434898925905183777465790065536684009670610166094115871192877778010621572297331122283237193104111953583123375351976059751367654618159856339726031988137678741308314495162618963975749520843189189798637267525772680402880548567094293613135284728214927915880043732261541982241409253893591550762567963055332575711981516731587830505582829644492735106459095572955175438329008592613358677703854302507571212380155670176622495615735067317658410844731815944361077019592433779441748349469846680956734019536194997399235973724493517154278180218068636709369916267986945118639507240553101058385188723323264456278204136383151729137629578698486190674444500262753169994609221185566715859986211181046734044741984905262325360799413124916221716802469491442662229337155840705063466859471959744495002054558361859934113093616713218969609732516808361545070094773084825006016290312728793235830660319829497138234006576188127181349683637289396996818744988186495299325423820592158985869062290491901724234159393624089091598048102960995508156778662832068450294525769459939583106782450984700055804407319877041454229449810905712899011845515488471437080186050430518165392341254844606073910373558582921573106604384411671175371520537315563277515357718250023441950865089391020596160834385033514923902012459028641323201038434838197943261135853179933028035513636261843791144934292212337434728090929717899450604891882377210642553220445839038840049328041138755879735581946066705316989453074254256182819255597596095334350194396098108596797379728760839108284508362298845233129404267398191211886863315357886682159173380961568182092943723710096597769461529925159728806472295685200328236104577476590519428232031737572932934046398698070863917381616605248526621002611381649821802424255136007277743839899442186141415782544686865536768096311433741852148557382615316578467110157852507766303426558884098806292250651449522374447251644195582470826331885331025131751463874821964766285004489119077096348598879114094195215719681460863985180680468851890689511743046204223041703018509001317065064644879158305457097534123848576791911691531478872559716738286233904895878471145780468528626339947572590844971493385832976525744579372433295691121}
19909 209157137965580967529688721811354274334823309238768718417087581729733683: {1014339,1292915,1531607,1551498,1809899,2188010,2585570,2625612,3062906,3102684,3156627,3675395,3898636,4270115,4375580,4410474,5124138,5250696,5569480,5700107,5907033,6052115,6265665,6683376,6709827,6774647,7262538,7459125,7489859,7518798,7796488,7956400,8083427,8143010,8195159,8472107,8681879,8771049,8950950,9547680,9771612,9889239,10184192,10197515,10441725,10466747,10593399,10741140,10943411,11097827,11137840,11457216,11514839,11648019,11707370,12103010,12237018,12343499,12430625,12530070,12558395,12675146,12889368,13063274,13365408,13671827,13956659,13999307,14048844,14500539,14523612,14913515,14916750,15036084,15070074,15102059,15535994,15911200,16388666,16449770,17222711,17244556,17633570,17719799,17896218,17900100,18661820,18780938,19093440,19229399,19582946,19624727,19739724,19999010,20360919,20366336,20575996,20602379,20706627,20876807,21012938,21127667,21160284,21163298,21291539,21378227,21480120,21574370,21944315,22394184,22522199,22757627,22912128,23136938,23412380,23998812,24165135,24595379,24635080,24975074,25193457,25776144,25866327,25889244,26208579,26333178,26502827,26608859,26626859,26735831,27340898,27470570,27714465,27916599,28094856,28310378,28687948,28998162,29279127,29394280,29431970,29562096,29649914,29824010,30081395,30211511,30541079,31606713,31709114,32015932,32174570,32264008,32964684,33068565,33168107,33257358,33266027,33483491,34020759,35059811,35190779,35273136,35318364,35436026,35703939,35788812,35814812,36097674,36178538,36248951,36297009,36425315,36478499,37381719,37423898,37905434,38038370,38496659,38609484,38721395,38865059,39245498,39256547,39682278,40054199,40218059,40287299,41011715,41200586,42154715,42357020,42461219,42578786,42714327,43121111,43210725,43251779,43710378,43839628,44436395,44850938,45005915,45153827,45346007,45364091,45646044,45693527,45881459,46091440,46269212,46465674,46676339,47280395,47334999,47383010,47521864,47688119,47767979,47778794,47806024,47843066,49111559,49180151,49214058,49580939,50449139,50585658,50681315,50828424,50956139,51336328,51417059,51852870,51976418,52017227,52162391,52701866,52967804,53323674,53462097,53779516,53781777,53862519,54007098,54150620,54180808,54393347,54739307,55195715,55309728,56631191,56736474,56769467,56859612,57143639,57181977,57454370,57716039,57753369,57854939,58744007,58857980,58894024,59010539,59073899,59553626,59809799,59900776,59917826,60806315,60817578,60953409,61094519,61921787,62130227,62219127,62223444,62537619,62628040,62736107,63411836,64025925,64632419,64709258,64712315,64780010,64809779,64846924,64980744,65125319,65277314,65394327,65785706,66234858,66255777,66380915,66658359,66973827,67312778,67388373,67774679,67779251,67820618,68178506,68239970,68255420,68294320,68945244,69434056,70159370,70456545,70595747,70629576,70682507,70946519,71487671,71991939,72228899,72750299,72967578,73103337,73548759,74667827,74840252,75153648,75232924,75288380,75395265,75600218,75686579,75983234,76028439,76276492,76382426,76394344,76827880,76831110,76902028,77003339,77645546,77654778,77736012,77759687,78113313,78199010,78518315,78846647,78875925,79458273,79657098,79683227,79704179,80151659,80421616,81199307,81252515,81391804,81633770,81887964,81906504,81953184,82471827,82612379,82769099,82806299,83920010,84134320,84191244,84300770,84547854,85055351,85160867,85179539,85336634,85375466,85442570,85467165,85506627,85545011,85654187,85654634,85687979,85943637,86107298,86123445,86233466,86431365,86684759,86909354,87530327,87533834,87681011,87960092,87987179,88006586,88302971,88819959,89623010,89682827,89719059,90107399,90197987,90346056,90474318,90506577,90911159,91164976,91865008,91886039,92009474,92090824,92144817,92193456,92197332,92342087,92923607,93036170,93202259,93343226,93547336,93713915,93838812,93979580,94221978,94338899,94651110,94988474,95034885,95653319,95979827,96548039,96820970,96992584,97135959,97342394,97503018,97729907,97960524,98213066,98646899,99130199,99925756,...,20025577828083121909396625205292531266260858394688548194641157097405392657769757891550179273880778124081248703791102742851050267013256599024981768404659350967391375740236308327676378751181124772071916877748298131562406896115920974380695326655242284281943260686811941879804226018659255458402219921210727874970028221849759841789413664921651848700524660558678160939540115558273219238056205368725898819740877283419682539755951431431152242302617415486156609556687378180993847304536982279980532638547646867602639131966607382976563069205506428264585062947340287982943864108707995685714580622541492730563295938890912807755155374098081398389099200009473049960586635928990124547573870453900153404269474251347984925687021536529981751341654405993344301132138462492560094177712588625264296205569704782642863570285256264146016632564070031593193513509211663067601338242010837477116544925429412008246141016768601985295388916682268439265021499443125253271982376696581624033680802510907648669303605703521299246531901206911703287720087382245346227480221458821161590503704014162096396441496377649590805482604777497833802634746335156872824213141786301375984183571655077752660216825285300999361124252253064849690034363573870507398089459058150847046304286570554506724976348722642988545671858122067683423950740443434282642022308783774007443772859323646808612127430606900584438678123484478236938472403343428283173540893568829994154313423090211214459642421259148102692789911705922331132626462241275645359381593329865647964965991356205704240290758182279159888357315926824852676320737468077846918297764352608370938848510868972183506104931314920899259333683670893326145628247422287813314948241395645392989313207016433814399217499888295622403292655256882972449541120940084622479295946325993336072744482479912150791488950958626146310022411148726760126364113100008021720416971724314440880426439329517645342101584169575132911516385862662424993317581993732433898427456211981158749720655868965645545858165452122130730803947994010875704883776091267059367692613252777475709934646266741072543093169388605639266414540950532015794020651295249440248067240690887189788339792808098547164744777228764142139179215561567162027383087417703353810291000031255934486785854694128214445846711353231869349945371521764268051246450930591014847804239910704047351515015791721526579056283116579637454572957199267473189176502947523404293927785385120065770721518341172980775928088940422652604099005674910425674130128127112466925861464144795729839638347785477712677816398460310839205689864254949182484420477182242878897841282090909457258298280128797025948706566879638408629727580267104314806103302120692570976042316763910578728531597427818556508822140331368828003481842199762403232340181343036991786532589581521887710059582487382357461748578322469531409843487088771289480210470010355071235411845465075056334201932696499263002192260776627768442513774700175668618499762619688380005985492102795131465172152125593620959575281151980240907291802520919348990728272297388937358012001756086752859838877740609463378831798102389215588708638496746288984381645206527837961527707291371501786596763454459961991181110635367659439163244394254828}
19910 209969568791239025945332082712765200756011624271107387870404998230497610: {377929,676294,755782,854281,1329481,1352452,1629094,1866934,1921861,2068664,2158309,2327247,2658694,2983609,3101221,3282015,3500816,3527782,3805381,3878355,3938418,4136912,4156489,4208836,4237414,4390201,4506949,4594359,4654026,4873295,5181574,5469475,5847954,5880632,5888182,6018121,6133861,6201814,6563370,6615711,6821927,6832184,6961850,7000928,7141174,7172281,7402249,7531894,7686207,7844182,7876044,7975909,8204869,8312134,8354220,8433541,8547769,8911168,8935174,8946436,9003961,9459001,9683384,9745610,9945500,10025064,10139401,10893807,11155141,11278197,11604709,11694732,11934600,12189334,12214515,12388681,12723589,12730240,12946501,12959974,13028816,13185652,13190854,13280329,13426425,13652182,13922300,13946041,14124532,14321520,14343094,14657418,14719429,15276288,15530692,15644614,15708601,15818149,16111710,16316024,16331782,16364809,16706760,16789174,17093782,17185824,17561055,17777701,17820544,17930134,18154515,18157894,18355527,18612982,18731792,18748729,18795105,18856261,18916054,19012719,19067494,19334052,19364816,19594911,19820809,19889000,20048112,20093432,20201254,20991781,21073266,21097801,21555695,21626821,21785418,22375125,22554126,22605111,22993849,23132182,23303991,23307589,23327275,23431414,23861624,23866800,23879782,24582999,24659641,24674655,24700294,25370182,25457920,25719995,25866834,26038774,26319632,26409349,26450355,26818021,26844327,26850150,26920009,26928214,27123769,27147892,27327241,27608836,27889174,27992730,28138249,28171407,28213712,28231007,28340281,28640160,28773814,29245861,29265475,29374419,29435782,29446309,29609586,29646469,29858912,29998515,30096454,30245221,30549504,30793850,30841381,30863994,30940489,31340854,31519407,31559974,31632229,31632982,31740426,31744947,31997782,31998416,32220180,32222341,32320441,32361555,32418469,32653414,33380374,33589189,33591276,33686281,34368192,34467814,34488436,34518992,34705407,34749541,34944772,35038009,35110904,35118570,35262982,35613001,35804089,35859935,35998218,36280549,36742850,36952620,37133641,37222132,37459808,37462611,37493494,37708534,38138182,38355589,38664216,38833866,39008521,39038836,39209782,39416128,39499767,39566182,39750409,40019915,40277782,40303801,40330010,40671289,41011347,41129029,41205855,41581631,41584969,41830271,42142284,42465567,43031881,43031922,43178614,43497243,43837669,43952912,44091420,44147955,44282809,44343144,44474871,44736015,44768515,44902981,44919287,45255781,45361012,45493894,45912982,46045369,46192054,46568521,46742329,47030848,47091152,47408207,47563671,47605252,47718416,47950921,48023898,48069094,48130232,48261855,48379141,48396012,48720421,49106854,49447026,49568581,49842292,49886037,50691094,51479312,51532271,51657481,51822649,52413179,52744774,52909704,52946275,52970761,52977546,53052229,53154039,53214949,53426134,53562214,53683218,53701381,53722218,53978639,54146511,54185221,54265609,54267807,54580774,54799535,54906121,55383481,55595734,56015929,56135847,56565541,56858151,56878021,56952436,56955961,57057555,57077891,57422089,57480694,57614300,57808549,57836515,57882982,57914226,57962629,58039561,58280504,58346569,58485334,58619014,58819414,58868247,59184901,59219782,59260681,59286454,59402330,59523417,59757530,60314041,60483814,60754799,60835429,60861392,61500601,61794361,61800879,61808134,61867621,61954232,62159941,62204182,62668729,63113332,63535530,63675721,63848182,63868179,63889669,64170410,64244809,64437574,64738981,64764454,64829782,65547334,65565567,65618744,65716741,65759442,66197974,66209755,66337849,66475081,66680389,66717334,66845051,67170934,67224395,67276407,67365094,67427641,67447544,67688275,67726010,67771232,68469066,69137160,69159241,69403818,69427174,69551929,69698511,69877189,70004182,70006789,70068214,70329529,70368914,70393861,70458121,70650469,70842169,70962982,70969609,71074515,71098232,71218054,71282796,71536534,71600182,71668191,71709036,71728201,71764599,71816692,72009464,72172294,72414469,72489574,73572475,73617530,73746304,73817782,73821087,74195974,74421001,74777401,74875970,75131209,75648632,75657061,75812816,75878487,76242636,76291849,76463461,76702534,76748041,77004492,77199707,77255749,77262982,77779305,77868361,77964627,78285050,78417721,78635449,78797989,78868031,79052799,79067449,79121782,79264795,79281721,79441669,79451706,79491814,79769354,79812361,79865029,79985511,80381882,80414374,80579471,80646409,80669274,80903269,81010647,81058655,81090104,81225930,81271212,81272182,81310501,81333334,81853919,82061641,82160569,82187782,82504549,82735414,82958836,82964592,83383492,83396339,83515321,83705782,83751301,84008182,84078649,84370534,84402469,84551494,84631609,84868511,84994489,85104711,85129381,85153654,85218949,85273894,85289418,85319275,85367900,85574341,85814182,86055481,86181555,86271301,86353174,86442661,86640992,86792570,86949829,87192436,87364549,87650569,87665254,87962374,87973129,88251589,88286970,88313144,88341036,88448329,88496182,88699226,88720741,88733014,88877812,88913161,89298436,89330439,89736694,89811721,89851164,89876739,90266182,90316729,90501094,90703621,90773029,91115749,91226367,91348466,91550521,91583461,91926992,92037061,92100709,92164069,92227141,92254774,92414629,92538181,92872009,92894182,92961541,93020869,93255301,93335166,93473782,93550315,93654469,93876229,93942060,94012489,94041155,94109494,94110475,94172768,94253221,94340182,94742281,94767301,95086009,95117754,95345615,95492930,95547094,95620069,95833414,95905081,95947849,95989252,95990329,96034850,96053509,96095269,96127535,96136741,96339781,96418981,96593354,96742729,96815881,96887881,97062841,97063887,97170015,97214149,97263289,97270386,97290104,97327801,97471116,97542934,97559461,97618501,97676389,97719049,97856569,97909561,97915971,98037001,98052982,98065012,98133769,98191909,98203321,98270281,98279254,98281189,98465221,98502949,98512201,98530489,98561734,98650441,98678559,98727481,98790661,98829541,98904889,99004681,99052741,99067429,99081289,99082981,99094969,99099109,99352287,99406774,99895271,...,30038366742124682864094937807938796899391287592032822291961735646108088986654636837325268910821167186121873055686654114276575400519884898537472652606989026451087063610354462491514568126771687158107875316622447197343610344173881461571042989982863426422914891030217912819706339027988883187603329881816091812455042332774639762684120497382477773050786990838017241409310173337409828857084308053088848229611315925129523809633927147146728363453926123229234914335031067271490770956805473419970798957821470301403958697949911074464844603808259642396877594421010431974415796163061993528571870933812239095844943908336369211632733061147122097583648800014209574940879953893485186821360805680850230106404211377021977388530532304794972627012481608990016451698207693738840141266568882937896444308354557173964295355427884396219024948846105047389790270263817494601402007363016256215674817388144118012369211525152902977943083375023402658897532249164687879907973565044872436050521203766361473003955408555281948869797851810367554931580131073368019341220332188231742385755556021243144594662244566474386208223907166246750703952119502735309236319712679452063976275357482616628990325237927951499041686378379597274535051545360805761097134188587226270569456429855831760087464523083964482818507787183101525135926110665151423963033463175661011165659288985470212918191145910350876658017185226717355407708605015142424760311340353244991231470134635316821689463631888722154039184867558883496698939693361913468039072389994798471947448987034308556360436137273418739832535973890237279014481106202116770377446646528912556408272766303458275259157396972381348889000525506339989218442371133431719972422362093468089483969810524650721598826249832443433604938982885324458674311681410126933718943919488990004109116723719868226187233426437939219465033616723090140189546169650012032580625457586471661320639658994276468013152376254362699367274578793993637489976372990598650847641184317971738124580983803448468318787248178183196096205921991016313557325664136900589051538919879166213564901969400111608814639754082908458899621811425798023691030976942874160372100861036330784682509689212147820747117165843146213208768823342350743041074631126555030715436500046883901730178782041192321668770067029847804024918057282646402076869676395886522271706359866056071027272523687582289868584424674869456181859435798901209783764754421285106440891678077680098656082277511759471163892133410633978906148508512365638511195192190668700388792196217193594759457521678216569016724597690466258808534796382423773726630715773364318346761923136364185887447420193195538923059850319457612944591370400656472209154953181038856464063475145865868092797396141727834763233210497053242005222763299643604848510272014555487679798884372282831565089373731073536192622867483704297114765230633156934220315705015532606853117768197612584501302899044748894503288391164941652663770662050263502927749643929532570008978238154192697197758228188390431439362921727970361360937703781379023486092408446083406037018002634130129289758316610914195068247697153583823383062957745119433476572467809791756942291560937057252679895145181689942986771665953051489158744866591382242}
19911 210785133111834043527383986312618433654803504218594941090097967187334424: {1014441,1133673,1690565,1810081,2028678,2406569,2443641,2585830,2800401,3063214,3102996,3619798,3988041,4376020,5145553,5171140,5251224,5261045,5291673,5907627,5978161,6125812,6205368,6313254,6356121,6981039,7350790,7772361,7797272,8006401,8472961,8540230,8751160,8771931,8820948,8832273,9302721,9553141,9845055,10248276,10264001,10442775,10501392,10711761,11138960,11183045,11297841,11400214,11698129,11766273,11814066,12104230,12431875,12468201,12531330,12876809,13366752,13402761,13419654,13549294,13837541,14276521,14525076,14618415,14918250,14979718,15037596,15592976,15912800,16166854,16286020,16390318,16482065,16696373,16944214,17363758,17402875,17542098,17581753,17655665,17876741,17901900,18284001,19095360,19413365,19439961,19543224,19778478,19786281,20354113,20368384,20395030,20478273,20878921,20883450,20933494,21186798,21448121,21482280,21514641,21886822,21986127,22195654,22275680,22759921,22914432,23029678,23296038,23296361,23414740,23466921,23590949,24167565,24206020,24474036,24497673,24686998,24861250,24969061,25060140,25116790,25183761,25350292,25640673,25778736,26126548,26730816,26895201,27236841,27343654,27488953,27913318,27919473,27998614,28097688,28374081,28601241,29001078,29047224,29739313,29782841,29827030,29833500,30072168,30140148,30204118,30301881,30722041,31071988,31609899,31822400,32371889,32678127,32777332,32899540,33831189,33934865,33984581,34445422,34489112,34511045,34698273,35147121,35267140,35439598,35704513,35792436,35800200,35819673,37050441,37323640,37477729,37540481,37561876,38055273,38186880,38458798,38800251,39058161,39165892,39249454,39479448,39998020,40275225,40392321,40721838,40732672,41151601,41151992,41204758,41408609,41413254,41753614,41833761,41989095,42025876,42113953,42255334,42320568,42326596,42583078,42756454,42960240,43110545,43148740,43160721,43680965,43888630,44012201,44153673,44414379,44717941,44788368,45044398,45144681,45515254,45824256,46190775,46273876,46295991,46394101,46527665,46824760,47011281,47339961,47449473,47610639,47996673,47997624,48330270,48492649,48798545,48980121,49190758,49270160,49950148,50070561,50386914,50961313,50995441,51085733,51552288,51688769,51701721,51732654,51778488,52167673,52417158,52666356,52677855,52894473,53005654,53217718,53253718,53471662,53482501,53997327,54001441,54209953,54681796,54941140,55114275,55428930,55833198,56004953,56189712,56240241,56562801,56620756,56701265,57046681,57207273,57375896,57416401,57996324,58250799,58558254,58788560,58814673,58863940,59016601,59124192,59299828,59349273,59506565,59648020,60162790,60416673,60423022,60495015,61082158,62210953,62235401,62302865,63008281,63147961,63213426,63418228,64031864,64349140,64528016,64547883,64767921,65929368,65965253,66049241,66137130,66192553,66336214,66514716,66532054,66966982,67645553,68041518,68240841,68285921,68869473,68899433,69288081,70119622,70381558,70546272,70636728,70872052,70953841,70979653,71190545,71407878,71577624,71629624,72017875,72035847,72103641,72195348,72236233,72357076,72497902,72594018,72850630,72956998,73660281,74170539,74633801,74763438,74847796,75034049,75810868,76036641,76076740,76993318,77167409,77218968,77274001,77442790,77730118,77767561,77877221,78490996,78513094,78891665,78901129,79117161,79364556,79466319,80108398,80139201,80343321,80436118,80524827,80574598,80583327,81141953,81871161,82023430,82401172,83393601,84309430,84714040,84922438,85128841,85157572,85428654,86221041,86242222,86421450,86503558,86528921,86700281,86824473,86871339,87420756,87679256,87728001,87928521,88066981,88229121,88778953,88829673,88872790,88929681,89103495,89636295,89701876,89770865,90011830,90307654,90597241,90692014,90725721,90728182,91292088,91387054,91762918,92182880,92302529,92538424,92610433,92712201,92931348,92933281,93182401,93306273,93352678,93814961,94560790,94669998,94766020,94813961,95043728,95303295,95376238,95535958,95557588,95612048,95686132,95772273,96255615,96656361,97146681,97244673,98223118,98321001,98360302,98428116,98639163,98880053,99161878,99296961,99630001,99827321,...,45057550113187024296142406711908195349086931388049233437942603469162133479981955255987903366231750779182809583529981171414863100779827347806208978910483539676630595415531693737271852190157530737161812974933670796015415516260822192356564484974295139634372336545326869229559508541983324781404994822724137718682563499161959644026180746073716659576180486257025862113965260006114743285626462079633272344416973887694285714450890720720092545180889184843852371502546600907236156435208210129956198436732205452105938046924866611697266905712389463595316391631515647961623694244592990292857806400718358643767415862504553817449099591720683146375473200021314362411319930840227780232041208521275345159606317065532966082795798457192458940518722413485024677547311540608260211899853324406844666462531835760946443033141826594328537423269157571084685405395726241902103011044524384323512226082216177018553817287729354466914625062535103988346298373747031819861960347567308654075781805649542209505933112832922923304696777715551332397370196610052029011830498282347613578633334031864716891993366849711579312335860749370126055928179254102963854479569019178095964413036223924943485487856891927248562529567569395911802577318041208641645701282880839405854184644783747640131196784625946724227761680774652287703889165997727135944550194763491516748488933478205319377286718865526314987025777840076033111562907522713637140467010529867486847205201952975232534195447833083231058777301338325245048409540042870202058608584992197707921173480551462834540654205910128109748803960835355918521721659303175155566169969793368834612409149455187412888736095458572023333500788259509983827663556700147579958633543140202134225954715786976082398239374748665150407408474327986688011467522115190400578415879233485006163675085579802339280850139656908829197550425084635210284319254475018048870938186379707491980959488491414702019728564381544049050911868190990456234964559485897976271461776476957607186871475705172702478180872267274794144308882986524470335988496205350883577308379818749320347352954100167413221959631124362688349432717138697035536546465414311240558151291554496177023764533818221731120675748764719319813153235013526114561611946689832546073154750070325852595268173061788482503155100544771706037377085923969603115304514593829783407559539799084106540908785531373434802876637012304184272789153698351814675647131631927659661337517116520147984123416267639206745838200115950968359222762768548457766792788286003050583188294325790392139186282517324853525086896535699388212802194573635660589946073660046477520142884704546278831171130289793308384589775479186419416887055600984708313732429771558284696095212718798802139196094212591752144849815745579863007834144949465407272765408021833231519698326558424247347634060596610304288934301225556445672147845949735401330473557523298910279676652296418876751954348567123341754932586747412478995655993075395254391624465894298855013467357231289045796637342282585647159044382591955542041406555672068535229138612669125109055527003951195193934637474916371292602371545730375735074594436617679150214858701714687635413437341405585879019842717772534914480157498929577233738117299887073363}
19912 211603842927815110411602264757808084377932677029141778803228335227753900: {457447,755858,1171327,1352588,1408711,1511564,1708562,2658962,2704904,2944687,3043017,3258188,3414847,3733868,3843722,3878745,4137328,4316618,4594821,4654494,4934911,5317388,5429697,5470025,5967218,6202442,6463925,6564030,6822613,6904327,7001632,7019527,7055564,7610762,7657265,7756710,7876836,8273824,8312978,8417672,8474828,8624767,8738887,8780402,9013898,9188718,9308052,9308407,9469881,9535711,9746590,9876127,10102711,10363148,10938950,11026185,11456167,11695908,11761264,11776364,12036242,12267722,12403628,12576127,12810345,13126740,13231422,13466911,13643854,13664368,13923700,14001856,14282348,14344562,14794447,14804498,15063788,15372414,15688364,15752088,15951818,16002247,16409738,16624268,16708440,16766311,16867082,17095538,17100321,17309911,17721099,17822336,17870348,17892872,18007922,18067927,18156345,18796995,18918002,19144687,19366768,19491220,19891000,20050128,20129481,20278802,20323941,20357525,20852527,21787614,21805087,22121311,22310282,22331767,22377375,22469577,22556394,23209418,23389464,23869200,24250281,24378668,24429030,24524167,24585477,24777362,25416321,25447178,25454047,25460480,25893002,25919948,26045637,26057632,26070727,26313147,26371304,26381708,26560658,26786911,26852850,27304364,27601087,27803911,27844600,27892082,28249064,28612327,28643040,28686188,28813711,29014807,29268425,29314836,29315911,29438858,29667717,30177973,30257525,30552576,30592545,31061384,31289228,31306711,31325175,31400241,31417202,31636298,31687865,31780197,32223420,32632048,32658185,32663564,32729618,32830233,32976247,33293481,33413520,33578348,33754711,34187564,34371648,34544517,34721311,34944057,35122110,35393647,35555402,35641088,35860268,35871727,36007993,36309030,36315788,36711054,37030497,37225964,37291875,37463584,37497458,37590210,37675185,37712522,37832108,37860007,38025438,38134988,38668104,38729632,38839985,39189822,39631567,39641618,39778000,40096224,40186864,40402508,40971665,41011807,41015481,41103247,41124425,41869977,41922967,41983562,41997921,42146532,42195602,42375847,42646711,43111390,43253642,43501617,43570836,44083925,44701807,44740545,44750250,44878711,45108252,45210222,45306177,45319711,45987698,46264364,46607982,46615178,46654550,46862828,46892407,46952345,47238727,47723248,47733600,47756047,47759564,48185167,48957365,49038007,49165998,49319282,49349310,49400588,49997525,50203909,50303767,50740364,50888911,50915840,51055447,51304711,51439990,51668133,51733668,51883807,51966247,52077548,52532345,52639264,52818698,52900710,52908245,53159397,53599927,53636042,53688654,53700300,53761711,53840018,53856428,53935925,54164911,54247538,54295784,54654482,55217672,55289861,55601527,55778348,55985460,56027881,56276498,56342814,56427424,56462014,56680562,56936911,57280320,57325711,57547628,57688197,57842345,58491722,58530950,58634167,58748838,58871564,58874181,58892618,59219172,59292938,59469727,59717824,59997030,60192908,60221767,60490442,61082757,61099008,61483711,61587700,61682762,61727988,61807137,61850911,61880978,62119881,62437685,62579911,62630421,62675921,62681708,63038814,63119948,63157193,63264458,63265964,63383001,63480852,63489894,63516847,63792937,63874617,63995564,63996832,64134681,64440360,64444682,64640882,64723110,64836938,65284447,65306828,65832945,66323407,66460711,66760748,66802711,66939007,67178378,67182552,67372562,67566597,68272881,68352245,68676425,68736384,68816911,68935628,68976872,69037984,69410814,69499082,69692249,69889544,70076018,70221808,70237140,70252807,70525964,70775945,70893967,70957687,71226002,71275207,71608178,71719870,71996436,72029911,72495405,72561098,73485700,73579925,73786137,73905240,73991767,74124785,74267282,74291647,74444264,74560025,74767711,74919616,74925222,74986988,75356311,75417068,75531487,75580371,76053127,76225711,76276364,76397647,76711178,76719349,77191447,77247607,77328432,77598981,77667732,77915911,78017042,78077672,78300967,78419564,78625737,78832256,78999534,79132364,79272785,79274911,79500818,79508481,79826577,79880577,80039830,80068711,80207493,80436425,80555564,80607602,80660020,80743567,80971121,81342578,82022694,82258058,82352911,82411710,82500007,82695127,83143395,83163262,83169938,83321311,83558911,83660542,83700607,83749797,83888527,84284568,84353287,84491311,84931134,85036927,85171711,85422161,85483687,85748287,86063762,86063844,86183527,86357228,86398447,86822887,86994486,87115711,87675338,87731311,87837381,87852487,87905824,88182840,88212127,88295910,88565618,88590065,88686288,88881881,88913911,88949742,89104711,89180527,89472030,89537030,89555287,89592367,89805962,89838574,89849911,90139927,90211711,90244185,90389911,90446345,90460687,90495967,90511562,90634533,90722024,90982327,90987788,91084711,91623237,91815727,91825964,92090738,92384108,92693657,92756407,93085087,93137042,93207673,93484658,93490807,93519247,93559745,93771967,93799687,93909847,94061696,94114153,94182304,94443367,94648711,94763585,94816414,94820139,94898911,95095925,95127342,95210504,95331127,95436832,95606311,95717911,95762047,95901842,96047796,96138188,96146311,96260464,96349711,96523710,96584287,96758282,96771847,96790207,96792024,97004911,97039687,97125367,97440842,97465567,97541887,97577093,97645711,97674727,97829167,98075407,98113745,98135887,98213708,98262607,98317327,98508847,98554927,98581711,98666311,98705911,98721247,98827087,98894052,98894407,98932711,99011047,99050647,99065767,99076567,99079087,99106807,99110911,99137162,99205695,99504321,99684584,99772074,99798081,...,60076733484249365728189875615877593798782575184065644583923471292216177973309273674650537821642334372243746111373308228553150801039769797074945305213978052902174127220708924983029136253543374316215750633244894394687220688347762923142085979965726852845829782060435825639412678055977766375206659763632183624910084665549279525368240994764955546101573981676034482818620346674819657714168616106177696459222631850259047619267854294293456726907852246458469828670062134542981541913610946839941597915642940602807917395899822148929689207616519284793755188842020863948831592326123987057143741867624478191689887816672738423265466122294244195167297600028419149881759907786970373642721611361700460212808422754043954777061064609589945254024963217980032903396415387477680282533137765875792888616709114347928590710855768792438049897692210094779580540527634989202804014726032512431349634776288236024738423050305805955886166750046805317795064498329375759815947130089744872101042407532722946007910817110563897739595703620735109863160262146736038682440664376463484771511112042486289189324489132948772416447814332493501407904239005470618472639425358904127952550714965233257980650475855902998083372756759194549070103090721611522194268377174452541138912859711663520174929046167928965637015574366203050271852221330302847926066926351322022331318577970940425836382291820701753316034370453434710815417210030284849520622680706489982462940269270633643378927263777444308078369735117766993397879386723826936078144779989596943894897974068617112720872274546837479665071947780474558028962212404233540754893293057825112816545532606916550518314793944762697778001051012679978436884742266863439944844724186936178967939621049301443197652499664886867209877965770648917348623362820253867437887838977980008218233447439736452374466852875878438930067233446180280379092339300024065161250915172943322641279317988552936026304752508725398734549157587987274979952745981197301695282368635943476249161967606896936637574496356366392192411843982032627114651328273801178103077839758332427129803938800223217629279508165816917799243622851596047382061953885748320744201722072661569365019378424295641494234331686292426417537646684701486082149262253110061430873000093767803460357564082384643337540134059695608049836114565292804153739352791773044543412719732112142054545047375164579737168849349738912363718871597802419567529508842570212881783356155360197312164555023518942327784266821267957812297017024731277022390384381337400777584392434387189518915043356433138033449195380932517617069592764847547453261431546728636693523846272728371774894840386391077846119700638915225889182740801312944418309906362077712928126950291731736185594792283455669526466420994106484010445526599287209697020544029110975359597768744565663130178747462147072385245734967408594229530461266313868440631410031065213706235536395225169002605798089497789006576782329883305327541324100527005855499287859065140017956476308385394395516456376780862878725843455940722721875407562758046972184816892166812074036005268260258579516633221828390136495394307167646766125915490238866953144935619583513884583121874114505359790290363379885973543331906102978317489733182764484}
19913 212425710285265367453648452206793532089063495738919284727640145859463419: {19913,1133787,1690735,1889455,2028882,2267346,2366791,2406811,2562843,2844127,3381130,3620162,3988443,4057356,4072735,4667335,4813138,4887282,5171660,5600802,5765583,6126428,6205992,6474927,6646735,6981741,7239596,7365463,7976082,8752040,8819455,8950827,8957311,9303663,9794431,9846045,10291106,10342280,10502448,10509643,10522090,10583346,10593535,11416143,11635065,11815254,11956322,12130183,12251624,12410736,12469467,12626508,12712242,12878107,12953935,13170603,13247287,13313311,13520847,13783077,13962078,14512543,14619885,14701580,14720455,15218047,15465487,15504535,15544722,15594544,15656263,16012802,16408425,16894903,16945922,17080460,17404625,17502320,17543862,17641896,17664546,17847847,17852935,17878543,18054363,18094747,18401583,18605442,18829735,19106282,19396927,19610455,19690110,19847133,19979887,20465781,20496552,20528002,20780335,20885550,21002784,21423522,21450283,21516843,21998911,22206747,22277920,22337935,22366090,22595682,22800428,23058621,23074891,23396258,23532546,23593327,23628132,23731807,23927727,24208460,24364025,24614607,24717931,24741727,24863750,24936402,25062660,25217911,25300623,25643307,25753618,26733504,26805522,26839308,27011883,27098588,27178711,27532063,27675082,27956143,28377003,28553042,29050152,29236830,29836500,29959436,30075192,30217627,30418203,30473335,31185952,31825600,32333708,32364427,32375167,32399935,32572040,32681421,32780636,32806411,32964130,32977135,33392746,33465423,33834591,33888428,34130455,34657543,34727516,34805750,34814127,35084196,35163506,35197903,35311330,35392027,35753482,35803800,35857735,36568002,36643545,37166043,37982767,38170767,38190720,38257687,38826730,38839503,38879922,39086448,39111535,39556956,39572562,39840987,40279275,40532647,40708226,40736768,40790060,40794967,40829455,40956546,41757842,41766900,41838123,41842207,41866988,41972935,42373596,42734455,42896242,42964560,43029282,43066687,43773644,43780171,43972254,44158183,44158287,44366023,44391308,44551360,44825335,45394735,45519842,45828864,46018711,46059356,46532455,46592076,46592722,46829480,46933842,47125803,47181898,47290135,47454447,47508811,47661007,47668735,47927647,48315463,48335130,48412040,48937447,48948072,48995346,49094427,49190107,49354183,49373996,49722500,49938122,50120280,50233580,50367522,50503135,50700584,51281346,51400423,51557472,52121311,52253096,52683165,52683391,53333103,53461632,53790402,54463545,54473682,54608887,54687308,54977906,55066581,55826636,55838946,55997228,56195376,56246187,56385315,56568783,56748162,57038157,57202482,57640711,57727723,57830455,58002156,58094448,58578535,58784733,59462427,59478626,59533867,59565682,59654060,59667000,59699455,59998831,60144336,60280296,60354763,60408236,60603762,60784303,61086727,61153351,61368031,61444082,61750735,61917727,62143976,62241703,62593771,62975343,63143947,63199807,63219798,63293403,63425455,63644800,64109527,64667085,64743778,64880463,65096935,65138731,65356254,65554664,65799080,65971951,66634951,67125375,67320535,67662378,67815333,67869730,67909783,67969162,68317963,68553547,68890844,68978224,68981547,69022090,69396546,69722935,69911973,69922767,69981825,70284943,70294242,70534280,70879196,71235007,71258011,71409026,71584872,71600400,71639346,71934535,73589455,73725871,73748997,73956523,73978923,74023965,74100882,74647280,74955458,75041647,75063967,75080962,75123752,75241135,76110546,76373760,76917596,76984625,77159985,77175307,77600502,78116322,78331784,78352135,78453943,78498908,78899935,78958896,79082455,79228047,79351065,79381771,79994455,79996040,80208811,80454063,80532981,80550450,80701543,80760027,80784642,81371307,81443676,81465344,81633535,81981723,82048567,82303202,82303984,82409516,82629103,82727191,82817218,82826508,83309191,83450935,83507228,83667522,83978190,84051752,84227906,84414747,84510668,84514221,84641136,84653192,84693021,85020843,85166156,85512908,85920480,86018911,86169535,86221090,86297480,86321442,86537707,86999023,87039247,87224011,87361930,87434983,87737583,87777260,87796425,88024402,88123257,88157455,88203583,88307346,88320847,88338927,88828758,88939407,89435882,89576736,89797147,89817031,89995545,90088796,90289362,90735663,90929563,91030508,91197847,91543447,91648512,91857125,92312011,92381550,92524143,92547752,92591982,92730847,92788202,92821467,93055330,93649520,93733735,93986827,94022562,94271335,94558221,94679922,94896687,94898946,95221278,95234841,95345455,95489431,95672683,95993346,95995248,96660540,96667023,96961323,96985298,97084665,97255407,97597090,97642543,97960242,98024455,98381516,98540320,98585311,98915455,99368011,99666763,99900296,...,90115100226374048592284813423816390698173862776098466875885206938324266959963910511975806732463501558365619167059962342829726201559654695612417957820967079353261190831063387474543704380315061474323625949867341592030831032521644384713128969948590279268744673090653738459119017083966649562809989645448275437365126998323919288052361492147433319152360972514051724227930520012229486571252924159266544688833947775388571428901781441440185090361778369687704743005093201814472312870416420259912396873464410904211876093849733223394533811424778927190632783263031295923247388489185980585715612801436717287534831725009107634898199183441366292750946400042628724822639861680455560464082417042550690319212634131065932165591596914384917881037444826970049355094623081216520423799706648813689332925063671521892886066283653188657074846538315142169370810791452483804206022089048768647024452164432354037107634575458708933829250125070207976692596747494063639723920695134617308151563611299084419011866225665845846609393555431102664794740393220104058023660996564695227157266668063729433783986733699423158624671721498740252111856358508205927708959138038356191928826072447849886970975713783854497125059135138791823605154636082417283291402565761678811708369289567495280262393569251893448455523361549304575407778331995454271889100389526983033496977866956410638754573437731052629974051555680152066223125815045427274280934021059734973694410403905950465068390895666166462117554602676650490096819080085740404117217169984395415842346961102925669081308411820256219497607921670711837043443318606350311132339939586737669224818298910374825777472190917144046667001576519019967655327113400295159917267086280404268451909431573952164796478749497330300814816948655973376022935044230380801156831758466970012327350171159604678561700279313817658395100850169270420568638508950036097741876372759414983961918976982829404039457128763088098101823736381980912469929118971795952542923552953915214373742951410345404956361744534549588288617765973048940671976992410701767154616759637498640694705908200334826443919262248725376698865434277394071073092930828622481116302583108992354047529067636443462241351497529438639626306470027052229123223893379665092146309500140651705190536346123576965006310201089543412074754171847939206230609029187659566815119079598168213081817571062746869605753274024608368545578307396703629351294263263855319322675034233040295968246832535278413491676400231901936718445525537096915533585576572006101166376588651580784278372565034649707050173793071398776425604389147271321179892147320092955040285769409092557662342260579586616769179550958372838833774111201969416627464859543116569392190425437597604278392188425183504289699631491159726015668289898930814545530816043666463039396653116848494695268121193220608577868602451112891344295691899470802660947115046597820559353304592837753503908697134246683509865173494824957991311986150790508783248931788597710026934714462578091593274684565171294318088765183911084082813111344137070458277225338250218111054007902390387869274949832742585204743091460751470149188873235358300429717403429375270826874682811171758039685435545069828960314997859154467476234599774146726}
19914 213250747276074312392898462107170296407084548861865315770457223193384682: {457493,914894,933749,1052633,1211033,1408853,1448393,1511716,2001113,2237513,2342654,2705176,2709449,2817422,2984213,3023128,3043323,3219413,3401019,3417124,3884249,4468949,4585673,5071695,5317924,5409808,5430243,5889374,6086034,6096533,6212249,6464575,6481973,6516376,6597449,6829694,7219707,7288793,7330923,7467736,7480373,7658035,7687444,7757490,8274656,8397173,8401203,8625653,8633236,8891849,9049495,9081749,9189642,9308988,9460949,9536693,9869822,10141493,10480793,10634776,10720171,10859394,10940050,11831513,11934436,11964123,12353993,12404884,12465749,12927850,13023449,13128060,13134773,13468313,13645226,13808654,14003264,14039054,14059673,14111128,14391413,14501849,14795993,15221524,15314530,15436659,15513420,15753672,15783135,15784949,15875019,16441013,16547648,16625956,16695449,16804373,16835344,16949656,17249534,17477774,17560804,17722881,17853593,17934483,18027796,18321749,18376975,18377436,18616104,18616814,18860249,18939762,19068363,19071422,19493180,19752254,20205422,20726296,20943117,20996249,21350575,21877900,21948053,22052370,22474313,22684313,22859093,22912334,23317083,23391816,23522528,23552728,23799449,24019203,24072484,24146249,24535444,24561353,24664949,24807256,25152254,25250633,25418883,25456793,25620690,26253480,26315793,26462844,26483273,26496819,26823833,26933822,27129653,27287708,27299273,27328736,27400949,27847400,27908163,28003712,28346453,28500535,28564696,28659423,28689124,29319113,29419349,29519513,29535165,29588894,29608996,29752949,30127576,30251849,30260575,30351413,30744828,30792003,30914249,31328325,31343093,31376728,31504176,31507673,31903636,32004494,32135283,32327573,32392949,32819476,33248536,33416880,33532622,33549135,33693749,33734164,33758453,33790793,33873235,33893523,34191076,34200642,34242713,34619822,34757273,35094387,35298819,35442198,35644672,35716553,35740696,35785744,35875733,36002933,36015844,36135854,36312690,36826613,37204949,37295625,37404603,37449295,37593990,37836004,37895573,38239433,38289374,38630427,38733536,38982440,39079349,39782000,40100256,40208283,40258962,40312949,40417135,40557604,40647882,40715050,40975795,41016473,41138393,41512623,41705054,42290249,42360535,42380693,42591449,42741749,42829563,43409395,43575228,43610174,43847753,43855245,43996373,44242622,44363011,44620564,44663534,44754750,44913353,44939154,45112788,45324953,45721459,45851849,46230773,46418836,46579349,46637333,46778928,46926773,47589449,47738400,47790293,47876249,48447449,48500562,48757336,48788633,48858060,49048334,49156949,49170954,49382933,49446195,49554724,49720949,50089119,50337653,50832642,50894356,50894933,50908094,50920960,50987575,51786004,51839896,51889973,52091274,52115264,52141454,52208625,52333735,52626294,52742608,52745259,52763416,52966995,53037749,53121316,53573822,53630223,53705700,53768153,54198233,54251849,54375979,54608728,54717055,54852003,54919349,55202174,55449749,55489135,55607822,55634633,55689200,55784164,56498128,56579273,56943833,56969813,57021749,57224654,57286080,57360331,57372376,57574195,57627422,57874073,58029614,58240095,58319883,58488473,58536850,58629672,58631822,58877716,58895513,59335434,59358843,59879093,59954249,60328949,60355946,60515050,61062339,61105152,61185090,61270133,61434819,61515893,61717495,61809749,61858613,61883033,62122768,62153125,62224073,62539349,62578456,62613422,62636763,62650350,62732693,62791975,62800482,62834404,62973653,63272596,63375730,63560394,63667913,63739349,63810713,63976949,64344363,64446840,64543923,64731893,64966133,65152949,65264096,65316370,65327128,65342563,65455433,65459236,65660466,65733283,65733449,65952494,65958381,66354773,66492053,66586962,66606233,66811253,66827040,66833993,67156696,67509422,67849013,67960793,68279763,68359135,68375128,68494553,68540311,68715593,68743296,68781749,68957813,69089034,69442622,69504713,69613493,69783295,69888114,69889083,69996535,70244220,70261973,70400763,70587451,70772847,70787294,70839449,70903253,70988213,71110804,71221193,71282176,71720536,71726153,71743454,72015986,72371573,72474953,72502695,72618060,72631576,72681113,72865973,73172633,73422108,73493019,73545283,73881173,74060994,74071543,74141849,74241749,74451928,74498611,74567575,74583750,74640319,74797493,74907183,74927168,74994916,75180420,75350370,75424949,75425044,75510295,75551283,75561113,75664216,75720014,76005749,76050876,76197749,76269976,76484249,76806773,76922019,77089433,77276873,77336208,77459264,77667893,77679970,77926613,78202073,78379644,79071449,79125173,79263134,79283236,79303733,79339349,79516949,79556000,79922393,80079893,80192448,80373728,80685603,80805016,80960153,80979283,81164249,81333449,81367193,81710523,81919349,81943330,82023614,82030962,82084949,82206494,82216853,82248850,82331849,82363567,82466859,82528073,82706933,83333273,83539349,83570933,83739954,83758419,83775449,83845934,83967124,83995842,84056393,84293064,84391204,84518873,84656213,84747413,84751694,85049333,85122243,85154249,85184153,85293422,85672949,85775513,85803723,85892249,85935893,86037449,86113555,86210633,86222780,86507284,86680949,86849813,87003234,87003593,87141672,87412759,87513749,87717449,88167850,88357193,88598995,88773449,88940213,89130953,89217939,89348523,89403614,89481090,89500500,89618453,89757422,89839349,89863733,90081749,90165833,90216504,90344693,90380249,90420444,90612354,90639422,90905643,91268213,91502153,91601333,91776053,91975396,92166123,92245973,92528728,92659733,92690249,92891849,92991449,93011273,93215964,93217493,93230356,93285449,93304793,93309100,93543893,93725656,93784814,93904690,93925193,93988949,94061333,94124249,94284233,94301849,94477454,94562249,94664393,94798793,94815449,94829697,94939349,95020949,95045273,95354933,95378249,95446496,95467200,95471827,95512094,95519128,95622473,95644949,95667353,95693143,95697113,95952053,96146995,96169673,96183449,96370334,96372953,96386249,96452249,96601013,96676949,96788693,96813173,96849653,96861749,96921749,97079753,97115667,97198613,97292249,97372949,97409993,97467413,97653449,97663193,97692233,97763573,97851353,97873973,97914730,97953749,97996949,98034381,98076014,98109593,98123635,98246933,98331996,98349749,98462873,98508233,98539673,98573333,98608949,98638564,98651849,98687573,98698620,98801176,98845913,98871449,98895833,99015113,99023513,99043253,99054233,99086153,99086323,99091673,99110873,99118133,99120533,99139349,99141593,99995050,...,135172650339561072888427220135724586047260794164147700313827810407486400439945865767963710098695252337548428750589943514244589302339482043418626936731450619029891786246595081211815556570472592211485438924801012388046246548782466577069693454922885418903117009635980607688678525625949974344214984468172413156047690497485878932078542238221149978728541458771077586341895780018344229856879386238899817033250921663082857143352672162160277635542667554531557114507639802721708469305624630389868595310196616356317814140774599835091800717137168390785949174894546943884871082733778970878573419202155075931302247587513661452347298775162049439126419600063943087233959792520683340696123625563826035478818951196598898248387395371577376821556167240455074032641934621824780635699559973220533999387595507282839329099425479782985612269807472713254056216187178725706309033133573152970536678246648531055661451863188063400743875187605311965038895121241095459585881042701925962227345416948626628517799338498768769914090333146653997192110589830156087035491494847042840735900002095594150675980100549134737937007582248110378167784537762308891563438707057534287893239108671774830456463570675781745687588702708187735407731954123625924937103848642518217562553934351242920393590353877840172683285042323956863111667497993181407833650584290474550245466800434615958131860156596578944961077333520228099334688722568140911421401031589602460541615605858925697602586343499249693176331904014975735145228620128610606175825754976593123763520441654388503621962617730384329246411882506067755565164977909525466698509909380106503837227448365562238666208286375716070000502364778529951482990670100442739875900629420606402677864147360928247194718124245995451222225422983960064034402566345571201735247637700455018491025256739407017842550418970726487592651275253905630852957763425054146612814559139122475942878465474244106059185693144632147152735604572971368704893678457693928814385329430872821560614427115518107434542616801824382432926648959573411007965488616052650731925139456247961042058862300502239665878893373088065048298151416091106609639396242933721674453874663488531071293601454665193362027246294157959439459705040578343684835840069497638219464250210977557785804519185365447509465301634315118112131257771908809345913543781489350222678619397252319622726356594120304408629911036912552818367461095055444026941394895782978984012551349560443952370248802917620237514600347852905077668288305645373300378364858009151749564882977371176417558847551974560575260689607098164638406583720906981769838220980139432560428654113638836493513390869379925153769326437559258250661166802954124941197289314674854088285638156396406417588282637775256434549447236739589023502434848396221818296224065499694559094979675272742042902181789830912866802903676669337016443537849206203991420672569896730839029956889256630255863045701370025264797760242237436986967979226185763174873397682896565040402071693867137389912026847756941477133147775866626124219667016205605687415838007375327166581011853585581803912424749113877807114637191127205223783309853037450644576105144062906240312024216757637059528153317604743440472496788731701214351899661220089}
19915 214078966038110752012888795532963065966987784916603014613791108690764926: {39826,1372341,1889645,2267574,2367029,2645237,2844413,3361241,3381470,3513981,3778910,4057764,4226133,4271405,4534692,4733582,4813622,5125686,5688254,5701829,6534269,6647405,6762260,7240324,7976886,8085869,8114712,8145470,8834061,9129051,9305429,9334670,9394253,9609305,9626276,9774564,10244541,10343320,10469909,10585913,10791545,10946717,11201604,11531166,11636235,12252856,12347237,12411984,12492569,12949854,13293470,13314653,13784463,13963482,14160893,14479192,14730926,14804733,14830949,14918045,15219581,15506105,15733913,15952164,16219901,16289091,16410075,17504080,17638910,17901654,17914622,18135509,18607326,19026905,19078733,19391775,19588862,19692090,19981901,20467839,20582212,20608637,20684560,20712981,20782445,21004896,21019286,21044180,21058581,21166692,21187070,21384701,21706349,21951005,22434533,22534745,22832286,22923641,22971795,23270130,23630508,23912644,24260366,24366475,24503248,24744221,24821472,24938934,24994109,25220453,25253016,25424484,25756214,25874301,25907870,25998713,26216661,26341206,26361629,26448053,26494574,26616917,26626622,27041694,27162329,27347375,27454637,27566154,27628469,27924156,27925221,28046681,28409643,28607133,29025086,29092469,29239770,29403160,29440910,29628381,30090605,30308133,30436094,30669305,30930974,31009070,31089444,31189088,31245101,31273109,31312526,32025604,32651849,32809733,32816850,33078555,33276101,33789806,33891844,34109635,34160920,34368501,34809250,35004640,35087724,35283792,35329092,35695694,35705870,35711741,35757086,35861405,36000221,36108726,36189494,36803166,37011245,37210884,37659470,37728381,38212564,38261561,38431035,38508317,38734901,38771213,38793854,39220910,39380220,39694266,39879545,39959774,40400733,40931562,40993104,41024345,41056004,41560670,41771100,41826941,41944121,42005568,42167705,42662669,42738845,42847044,42900566,43033686,43264877,43608413,43997822,44383341,44413494,44555840,44675870,44732180,45019805,45167501,45191364,45359909,45600856,46117242,46149782,46167989,46690517,46792516,47065092,47186654,47256264,47295005,47463614,47782637,47855454,48006741,48277493,48416920,48728050,49229214,49435862,49449881,49483454,49552313,49727500,49872804,50125320,50200829,50265581,50298933,50435822,50601246,50697005,50947973,51286614,51300963,51432677,51507236,51929733,53163297,53467008,53611044,53678616,54023766,54197176,54203781,54357422,54469035,54756149,55064126,55350164,55775705,55912286,56390985,56754006,57106084,57161237,57434061,58023545,58100304,58473660,58762109,58881437,59264393,59673000,59828237,59918872,60150384,60388443,60435254,60452453,60669209,60836406,60946670,60971823,61072575,61597913,61943405,62353349,62371904,62515097,62557581,62755469,63150341,63552629,63617945,63651200,64016633,64667416,64728854,64732505,64750334,64799870,65144080,65145437,65362842,65415261,65561272,65600309,65612822,65928260,65954270,66179069,66206189,66363933,66401645,66641717,66736229,66785492,66930846,66995301,67057517,67132125,67236821,67408731,67669182,67776856,68260910,69315086,69455032,69611500,69628254,69730205,70168392,70327012,70395806,70617269,70622660,70704389,70784054,71506964,71607600,71715470,72750843,72772397,73136004,73287090,73572501,73597145,73649753,73733357,73756431,73906649,74332086,74474357,74690681,75965534,76248963,76341534,76362141,76381440,76515374,77653460,77679006,77759844,78136911,78172896,78212181,78223070,78543005,78653129,78939441,79090745,79113912,79145124,79681974,80135693,80216933,80360733,80558550,80962637,81065294,81416452,81473536,81580120,81589934,81658910,81824045,81913092,82009949,82803261,83411733,83515684,83533800,83579237,83676246,83684414,83733976,83945870,84214013,84747192,85187069,85468910,85792484,85836981,85929120,86058564,86133374,86441133,86451029,87044421,87443861,87547288,87560342,87805275,87944508,87947733,88316366,88316574,88711961,88732046,88782616,88795637,88888505,89003151,89102720,89650670,90225773,90533919,90772575,90789470,91039684,91135709,91207181,91657728,91777635,92037422,92118712,92180597,92629181,92740373,92809949,93064910,93184152,93185444,93658960,93743645,93867684,93920133,93975525,94079189,94200723,94248749,94251606,94281305,94363796,94580270,94908894,95017622,95063595,95322014,95337470,95340591,95511893,95855294,96008981,96011309,96630926,96670260,96824080,97612109,97760069,97874894,97896144,97974555,97990692,98188854,98380214,98490699,98708366,98747992,98928741,99013013,99104045,99445000,99876244,99880443,...,180230200452748097184569626847632781396347725552196933751770413876648533919927821023951613464927003116731238334119924685659452403119309391224835915641934158706522381662126774949087408760630122948647251899734683184061662065043288769426257939897180558537489346181307476918238034167933299125619979290896550874730253996647838576104722984294866638304721945028103448455861040024458973142505848318533089377667895550777142857803562882880370180723556739375409486010186403628944625740832840519824793746928821808423752187699466446789067622849557854381265566526062591846494776978371961171431225602873434575069663450018215269796398366882732585501892800085257449645279723360911120928164834085101380638425268262131864331183193828769835762074889653940098710189246162433040847599413297627378665850127343043785772132567306377314149693076630284338741621582904967608412044178097537294048904328864708074215269150917417867658500250140415953385193494988127279447841390269234616303127222598168838023732451331691693218787110862205329589480786440208116047321993129390454314533336127458867567973467398846317249343442997480504223712717016411855417918276076712383857652144895699773941951427567708994250118270277583647210309272164834566582805131523357623416738579134990560524787138503786896911046723098609150815556663990908543778200779053966066993955733912821277509146875462105259948103111360304132446251630090854548561868042119469947388820807811900930136781791332332924235109205353300980193638160171480808234434339968790831684693922205851338162616823640512438995215843341423674086886637212700622264679879173475338449636597820749651554944381834288093334003153038039935310654226800590319834534172560808536903818863147904329592957498994660601629633897311946752045870088460761602313663516933940024654700342319209357123400558627635316790201700338540841137277017900072195483752745518829967923837953965658808078914257526176196203647472763961824939858237943591905085847105907830428747485902820690809912723489069099176577235531946097881343953984821403534309233519274997281389411816400669652887838524497450753397730868554788142146185861657244962232605166217984708095058135272886924482702995058877279252612940054104458246447786759330184292619000281303410381072692247153930012620402179086824149508343695878412461218058375319133630238159196336426163635142125493739211506548049216737091156614793407258702588526527710638645350068466080591936493665070556826983352800463803873436891051074193831067171153144012202332753177303161568556745130069299414100347586142797552851208778294542642359784294640185910080571538818185115324684521159173233538359101916745677667548222403938833254929719086233138784380850875195208556784376850367008579399262982319452031336579797861629091061632087332926078793306233696989390536242386441217155737204902225782688591383798941605321894230093195641118706609185675507007817394268493367019730346989649915982623972301581017566497863577195420053869428925156183186549369130342588636177530367822168165626222688274140916554450676500436222108015804780775738549899665485170409486182921502940298377746470716600859434806858750541653749365622343516079370871090139657920629995718308934952469199548293452}
19916 214910378755396402703175544298740097649094965846570749202743899611677622: {59739,914986,1448539,1829788,1867498,1922443,2040739,2105266,2422066,2749003,2817706,2896786,3023432,3102163,3219739,3401361,3923683,4002226,4475026,4508323,4685308,5072205,5410352,5418898,5634844,5668365,5968426,6019963,6046256,6086646,6135739,6438826,6802038,6834248,7100373,7220433,7289539,7688529,7768498,7978363,8436139,8452825,8532381,8550403,8937898,9050405,9171346,9461923,9689083,10143390,10635848,10721249,10819616,10860486,11720563,11778748,11965329,12032845,12172068,12193066,12218205,12392539,12424498,12669293,12929150,12963946,13032752,13194898,13617763,13659388,14002005,14061139,14439414,14577586,14661846,14935472,14960746,15316070,15374888,15514980,15823123,16549312,16794346,16802406,17241163,17251306,17266472,17296749,17783323,17783698,18098990,18163498,18379284,18617976,18862243,18921898,19073386,19424781,19739644,19940205,20282986,20945223,20961586,21104539,21210523,21269552,21440342,21718788,21880100,22096389,23105923,23663026,23836723,23868872,23928246,24707986,24809768,24931498,25727765,25855700,25905283,26046898,26256120,26269546,26305225,26315539,26458365,26852481,26871933,26928763,26936626,27290452,27336139,27437803,27617308,27910989,28006528,28078108,28119346,28222256,28450483,28782826,29003698,29383293,29455963,29538135,29591986,29756203,29890805,30354739,30443048,30629060,30851539,30873318,30950683,31026840,31507344,31528929,31566270,31569898,31741243,31750038,31780605,32331139,32429203,32882026,33095296,33251912,33390898,33608746,33670688,33697483,33794539,33899312,34248429,34499068,34905195,34955548,35121608,35445762,35624923,35707186,35720539,35868966,36055592,36390549,36643498,36672739,36753950,36754872,37232208,37233628,37240603,37408401,37720498,37879524,38136726,38142844,38634321,38648923,38861805,38986360,39021739,39504508,39511809,39741861,39900749,39939933,40032005,40409539,40410844,40562541,41234443,41349231,41452592,41690203,41886234,41992498,42364805,42701150,43046683,43136539,43537629,43755800,43859655,43896106,44104740,44120203,44161365,44386963,44948626,45271483,45368626,45654141,45718186,45824668,45886363,46148803,46396461,46513605,46584763,46634166,46671739,46783632,46968789,47045056,47105456,47192083,47422529,47598898,47765705,48038406,48144968,48292498,49070888,49122706,49162723,49225275,49329898,49614512,50091739,50304508,50501266,50684709,50837766,50913586,51241380,51261523,51320005,52213875,52429013,52506960,52631586,52925688,52966546,52993638,53071243,53315323,53543541,53558805,53635629,53647666,53720683,53867644,54163089,54259306,54284241,54285163,54575416,54598546,54657472,54801898,55005739,55204749,55403539,55694800,55816326,55915225,56007424,56489205,56583989,56692906,56976739,57001070,57054643,57129392,57318846,57366113,57378248,57443083,58060843,58190781,58490645,58521139,58638226,58831365,58838698,59039026,59070330,59177788,59217992,59282539,59304749,59505898,59541399,59939661,60255152,60336403,60411139,60503698,60521150,60702826,60773153,61397343,61489656,61584006,61817443,61828498,61890739,62159375,62341005,62656650,62686186,62753456,62981539,63008352,63015346,63699739,63807272,63985003,64008988,64270566,64339963,64350849,64384045,64550529,64655146,64763539,64785898,64833883,65184523,65638952,65741803,65996733,66497072,66620241,66833760,66842539,67013805,67065244,67098270,67114843,67387498,67468328,67516906,67581586,67746470,67787046,67790563,68382152,68401284,68485426,68525539,69175863,69187705,69224673,69239644,69514546,70098883,70188774,70421443,70485739,70597638,70779981,70870003,70884396,71061163,71195421,71289344,71382605,71433106,71481392,71571488,71751466,71756539,71783181,71819323,72005866,72031688,72271708,72625380,73092075,73267229,73608739,73653226,73843821,73911139,74153793,74225181,74271643,74409898,74450923,74510539,74591250,74809206,74898590,75187980,75653733,75672008,75745843,75791146,75901869,76322923,76478866,76578748,76603877,76836139,76929921,77223029,77260854,77467072,77678539,77684789,77964880,78158698,78504739,78722323,78891857,79100323,79528003,79564000,79898443,80200512,80369539,80416566,80517924,80603873,80625898,80834270,81035649,81115208,81295764,81395539,81430100,81536133,81951590,82032946,82276786,82410325,82596189,83025246,83121739,83410108,83421533,83481865,83787523,83834539,83868429,84580498,84721070,84761386,85131009,85182898,85256323,85390243,85483498,85659126,86352523,86404493,86818790,87014375,87150456,87220348,87695506,87710490,87730603,87908765,87932563,87992746,88012843,88043813,88278325,88485244,88726022,88761139,89241128,89327068,89333539,89383705,89509500,89706139,89826706,89853163,89878308,90107683,90225576,90394243,90571003,90649906,90652881,91254609,91327363,91420005,91427803,91442918,91626739,91659643,91703698,92080843,92271139,92458843,92461546,92837672,92916763,93154363,93158698,93274666,93300523,93473539,93557856,93784003,93853546,94299739,94326163,94789483,94814539,94839523,95178898,95181739,95300539,95476800,95532739,95580586,95668603,95702789,95752498,96508123,96700003,96793243,96894898,97001124,97066825,97093281,97125501,97199805,97215739,97314883,97338761,97395523,97514672,97520803,97577266,97626643,97696613,97716120,97827739,97995149,98044263,98090539,98096668,98102923,98257363,98268739,98313898,98335483,98341908,98419233,98471203,98490733,98567323,98698003,98753443,98765866,98790883,98853739,98892390,98892403,98916739,98931405,98992843,99042739,99062539,99066283,99109448,99113803,99141883,99159163,99161683,99441898,...,270345300679122145776854440271449172094521588328295400627655620814972800879891731535927420197390504675096857501179887028489178604678964086837253873462901238059783572493190162423631113140945184422970877849602024776092493097564933154139386909845770837806234019271961215377357051251899948688429968936344826312095380994971757864157084476442299957457082917542155172683791560036688459713758772477799634066501843326165714286705344324320555271085335109063114229015279605443416938611249260779737190620393232712635628281549199670183601434274336781571898349789093887769742165467557941757146838404310151862604495175027322904694597550324098878252839200127886174467919585041366681392247251127652070957637902393197796496774790743154753643112334480910148065283869243649561271399119946441067998775191014565678658198850959565971224539614945426508112432374357451412618066267146305941073356493297062111322903726376126801487750375210623930077790242482190919171762085403851924454690833897253257035598676997537539828180666293307994384221179660312174070982989694085681471800004191188301351960201098269475874015164496220756335569075524617783126877414115068575786478217343549660912927141351563491375177405416375470815463908247251849874207697285036435125107868702485840787180707755680345366570084647913726223334995986362815667301168580949100490933600869231916263720313193157889922154667040456198669377445136281822842802063179204921083231211717851395205172686998499386352663808029951470290457240257221212351651509953186247527040883308777007243925235460768658492823765012135511130329955819050933397019818760213007674454896731124477332416572751432140001004729557059902965981340200885479751801258841212805355728294721856494389436248491990902444450845967920128068805132691142403470495275400910036982050513478814035685100837941452975185302550507811261705915526850108293225629118278244951885756930948488212118371386289264294305471209145942737409787356915387857628770658861745643121228854231036214869085233603648764865853297919146822015930977232105301463850278912495922084117724601004479331757786746176130096596302832182213219278792485867443348907749326977062142587202909330386724054492588315918878919410081156687369671680138995276438928500421955115571609038370730895018930603268630236224262515543817618691827087562978700445357238794504639245452713188240608817259822073825105636734922190110888053882789791565957968025102699120887904740497605835240475029200695705810155336576611290746600756729716018303499129765954742352835117695103949121150521379214196329276813167441813963539676441960278865120857308227277672987026781738759850307538652875118516501322333605908249882394578629349708176571276312792812835176565275550512869098894473479178047004869696792443636592448130999389118189959350545484085804363579661825733605807353338674032887075698412407982841345139793461678059913778513260511726091402740050529595520484474873973935958452371526349746795365793130080804143387734274779824053695513882954266295551733252248439334032411211374831676014750654333162023707171163607824849498227755614229274382254410447566619706074901289152210288125812480624048433515274119056306635209486880944993577463402428703799322440178}
19917 215744997658280141836272029907198391043233787740882408092933223910007972: {79652,1372479,2287235,2645503,2744682,2801247,3157899,3361579,3633099,3719243,3779290,4226559,4345179,4535148,4734058,5290474,5688826,5856635,5979967,6003339,6712539,6722482,6762940,7027962,7043555,7557820,8115528,8128347,8452266,8542810,8952639,9069384,9129969,9306367,9467164,9556027,9627244,9658239,10203057,10251372,11102299,11376508,11403658,11574299,11652747,11701663,13068538,13294810,13406847,13453027,13524520,13757019,13962283,14480648,14723435,15108163,15215085,15735499,15862547,15953772,16171738,16229424,16290729,16290940,17074235,17668122,18258102,18289599,18610858,18636747,18669340,18721379,18788506,19218610,19252552,19393725,19445919,19549128,19792347,19900523,20489082,20686640,20885263,20939818,21171826,21583090,21659121,21708547,21866379,21893434,21992769,22403208,22441119,22974105,23062332,23272470,24186179,24505712,24602699,24674555,24694474,24823968,24985138,25191519,25203609,25876959,25899708,26450719,26513539,26586940,26629306,26637667,26675547,27043283,27148485,27165067,27245247,27350125,27568926,27926964,28321786,28382847,28610079,28958384,29095423,29461852,29609466,29661898,29748319,29836090,30424479,30439162,30731407,31012210,31442379,31467826,31548643,31904328,32160513,32319625,32439802,32578182,32651827,32820150,34113065,34521635,35008160,35097635,35277820,35494539,35803308,35829244,35892369,36003467,36260543,36271018,36493243,37061979,37214652,37397247,38053810,38157466,38286325,38775139,38783550,38842463,39070347,39177724,39384180,39404319,39963802,40404939,40935678,41164063,41164424,41217274,41369120,41425962,41564890,42009792,42038572,42088360,42117162,42126847,42179019,42333384,42374140,42709403,42769402,42937027,43123835,43174239,43412698,43505547,43694435,43902010,44387979,44731483,44836819,44869066,45069490,45664572,45847282,45943590,45979139,46028027,46309977,46540260,46542035,47261016,47349405,47354847,47625057,47678555,47753489,47825288,48520732,48732950,49006496,49116427,49323039,49380635,49488442,49642944,49877868,49988218,50029283,50086347,50205967,50413119,50440906,50506032,50513555,50848968,51512428,51748602,51815740,51815743,51969499,51997426,52183519,52433322,52682412,52723258,52896106,52989148,53168643,53233834,53253244,53560779,53803449,54083388,54324658,54694750,54909274,54965247,55130925,55132308,55256938,55831363,55848312,55850442,56093362,56580747,56819286,57055219,57205089,57214266,57280835,57434083,57878323,58017107,58050172,58184938,58479540,58806320,58881820,59034787,59256762,59545919,59834383,60181210,60616266,60872188,61338610,61861948,62018140,62155339,62178888,62378176,62490202,62546218,62625052,62829351,62880635,62988747,63027727,63995123,64051208,64051725,65303698,65619466,65633700,65844159,66157110,66213007,66552202,66826483,67334555,67355579,67422939,67579612,67783688,67806763,68052939,68219270,68321840,68577279,68737002,69618500,69951249,70009280,70175448,70567584,70658184,70975807,71391388,71398347,71411740,71423482,71514172,71722810,72000442,72057609,72217452,72378988,72438747,73606332,73684059,73972235,73994847,74022490,74421768,74481059,74481919,74656703,75318940,75370147,75456762,75751899,75771407,75924299,76256649,76370379,76425128,76523122,76862070,77016634,77469802,77542426,77587708,77791183,78085987,78211627,78441820,78470723,78760440,78925183,78947379,79388532,79449819,79490457,79759090,79882643,79919548,80011235,80471499,80801466,81232963,81388959,81863124,81897819,81986208,82048690,82112008,82202847,82489867,83121340,83542200,83653882,83724489,83831555,83888242,84011136,84335410,85039359,85292219,85325338,85477690,85501605,85694088,85801132,85978269,86067372,86529754,86549555,86720767,87216826,87957339,87995644,88258047,88558539,88605495,88766682,88826988,89065123,89111680,89247107,89258847,89351740,89464360,90039610,90335002,90339635,90382728,90625507,90719818,90755547,90781725,91054239,91201712,91561979,92234484,92299564,92335978,92376009,92742747,92819347,92962303,93381034,93585032,93984975,94029279,94130184,94373308,94512528,94523019,94590010,94705819,94843199,94927228,95305363,95565274,95710908,95723435,96013482,96098123,96405849,96554986,96729307,96833840,96982719,97178847,97456100,97622287,98458428,98871724,98899762,98966908,99104626,99388127,99455000,99745608,...,405517951018683218665281660407173758141782382492443100941483431222459201319837597303891130296085757012645286251769830542733767907018446130255880810194351857089675358739785243635446669711417776634456316774403037164138739646347399731209080364768656256709351028907941823066035576877849923032644953404517239468143071492457636796235626714663449936185624376313232759025687340055032689570638158716699451099752764989248571430058016486480832906628002663594671343522919408165125407916873891169605785930589849068953442422323799505275402151411505172357847524683640831654613248201336912635720257606465227793906742762540984357041896325486148317379258800191829261701879377562050022088370876691478106436456853589796694745162186114732130464668501721365222097925803865474341907098679919661601998162786521848517987298276439348956836809422418139762168648561536177118927099400719458911610034739945593166984355589564190202231625562815935895116685363723286378757643128105777886682036250845879885553398015496306309742270999439961991576331769490468261106474484541128522207700006286782452027940301647404213811022746744331134503353613286926674690316121172602863679717326015324491369390712027345237062766108124563206223195862370877774811311545927554652687661803053728761180771061633520518049855126971870589335002493979544223500951752871423650736400401303847874395580469789736834883232000560684298004066167704422734264203094768807381624846817576777092807759030497749079528995712044927205435685860385831818527477264929779371290561324963165510865887853191152987739235647518203266695494933728576400095529728140319511511682345096686715998624859127148210001507094335589854448972010301328219627701888261819208033592442082784741584154372737986353666676268951880192103207699036713605205742913101365055473075770218221053527651256912179462777953825761716892558873290275162439838443677417367427828635396422732318177557079433896441458206813718914106114681035373081786443155988292618464681843281346554322303627850405473147298779946878720233023896465848157952195775418368743883126176586901506718997636680119264195144894454248273319828918188728801165023361623990465593213880804363995580086081738882473878318379115121735031054507520208492914658392750632932673357413557556096342528395904902945354336393773315726428037740631344468050668035858191756958868179069782360913225889733110737658455102383285166332080824184687348936952037654048681331857110746408752860712543801043558715233004864916936119901135094574027455248694648932113529252676542655923681725782068821294493915219751162720945309514662940418297681285962340916509480540172608139775461307979312677774751983500408862374823591867944024562264856914469189219252764847913325769303648341710218767070507304545188665454888672196499083677284939025818226128706545369492738600408711030008011049330613547618611974262017709690192517089870667769890767589137104110075794393280726712310960903937678557289524620193048689695121206215081601412169736080543270824431399443327599878372659001048616817062247514022125981499743035560756745411737274247341633421343911573381615671349929559112351933728315432188718720936072650272911178584459952814230321417490366195103643055698983660267}
19918 216582835023612912382252117948090238673624091245950960396481889921668942: {99565,119478,576781,1829972,2897078,3298417,3533281,3659576,3734996,3767857,3844886,4081478,4117023,4210532,4844132,5052877,5498006,5635412,5668935,5793572,6046864,6204326,6439478,6791137,6802722,7021681,7101087,7847366,7935711,8004452,8453675,8533239,8741581,8950052,8969677,9016646,9370616,9447275,9538657,10083723,10144410,10541943,10820704,10837796,11269688,11336730,11572081,11833955,11908717,11936852,12034055,12039926,12092512,12173292,12271478,12670567,12678399,12691681,12814215,12877652,13604076,13668496,14200746,14220635,14440866,14578477,14579078,15239437,15377058,15536996,15956726,16007281,16771597,16845983,16872278,16880497,16905650,17064762,17100806,17105487,17875796,18100810,18342692,18397537,18923846,19258081,19378166,19602807,19793581,19942215,20286780,20363675,21271696,21442498,21639232,21720972,22233697,22759117,23336675,23441126,23557496,23930658,24065690,24220717,24257607,24344136,24386132,24436410,24785078,24848996,25338586,25858300,25927892,26065504,26389796,26502183,27235526,27318776,27387153,27916287,28004010,28122278,28182759,28827915,28878828,29155172,29323692,29425777,29870944,29921492,30424417,30632140,30733623,30749776,31029960,31409727,31646246,31757739,32374635,32400097,32840151,33098624,33233675,33588692,33604812,33765937,33862957,34482326,34502612,34532944,34593498,34732897,34908705,35501281,35566646,35567396,35788237,36018871,36197980,36265057,36326996,36758568,36827315,37041711,37118797,37235952,37477707,37590577,37724486,37843796,37872781,38146772,38849562,39479288,39552397,39880410,39943959,40565972,40659181,41117281,41353389,41847127,41890446,41923172,42028081,42209078,42421046,42482679,42539104,42661357,42751537,42880684,43437576,43760200,44006497,44097275,44192778,44414199,44492847,44754135,44786555,44894257,45658743,46211846,46299697,46518315,46648177,46908781,47201739,47326052,47673446,47737744,47856492,47944717,48202081,48659703,48867273,48972155,49230225,49309837,49415972,49619536,49862996,49901281,51455530,51711400,51810566,51984781,52093796,52512240,52539092,52548215,52610450,52631078,52916730,52967675,53704962,53743866,53857526,53873252,54264877,54406527,54580904,54672278,54826081,54875606,55234616,55779937,55821978,56013056,56016781,56044807,56156216,56238692,56444512,56900966,57035617,57080715,57236199,57346657,57565652,58007396,58175325,58196077,58766586,58911926,58960717,59076270,59183972,59310727,59512406,59781610,59945703,60019117,60650915,60709478,60886096,60989281,61258120,61403517,61506637,61703078,61746636,61825911,61874017,61901366,62053680,62138943,62347335,62603377,62675917,63014688,63037537,63057858,63132540,63139796,63175743,63482486,63500076,63561210,64154103,64390535,64662278,64769675,64858406,65119047,65169457,65518477,65764052,65853015,66190592,66236435,66503824,66566555,66781796,66828337,66871987,67032781,67217492,67303599,67341376,67394966,67574797,67589078,67604235,67709581,67798624,68179057,68496858,68512237,68770923,68843617,68909677,68915385,68998136,69566317,69713303,69810390,69911096,70243216,70891524,70985581,71249846,71414372,71429857,71441078,71737932,71848007,72111184,72432097,72562715,72741517,72781098,73099425,73286996,73345478,73507900,73509744,73602275,74232663,74261617,74464416,74467256,74481206,74797837,74816802,74975281,74982327,75093217,75440996,75445297,75661359,75759048,76026337,76090235,76256737,76273452,76285688,77110477,77268642,77279281,77297846,77327435,77447437,77522675,77622903,77723610,77972720,77996139,78043478,78223597,78281315,78388081,78649983,79009016,79023618,79039537,79084887,79344159,79361377,79483722,79574497,79801498,79850751,79879866,80064010,80102257,80777581,80819078,80821688,81125082,81136177,81390157,81486987,81886903,82042125,82363911,82388077,82437217,82468886,82698462,82885407,82905184,83380406,83404897,83594977,83772468,83775663,83984996,84140043,84204781,84474515,84729610,85029037,85209037,85228929,85402300,85447967,85565581,85786081,85821399,86093366,86273078,86861581,87023125,87075258,87277407,87361837,87511600,87567217,87719310,87770797,87792212,88209480,88240406,88291681,88322730,88488781,88567117,88773926,88885143,89145457,89239235,89264675,89392715,89633581,89891377,89897252,89927917,90137663,90181681,90271815,90289357,90431917,90473735,90538081,90542966,90737252,90924399,91059181,91161457,91308282,91436372,91649336,91728781,91772726,91826737,92007915,92148577,92297606,92369581,92792922,93027210,93041197,93169526,93218317,93235831,93268332,93334957,93343478,93564781,93567264,93735303,93819327,93845581,93937578,94037857,94090112,94148675,94210912,94332877,94384166,94593517,94845058,94846957,94970977,95093197,95141581,95197796,95379181,95531410,95677297,95766577,95788717,96076812,96154081,96216397,96289936,96419437,96584996,96653581,96840781,96862787,96895537,96984635,97326637,97606571,97698157,97712737,97909297,97949581,97955547,97976077,98052275,98141776,98201581,98245412,98316781,98325446,98371681,98429199,98450550,98505997,98619181,98645857,98659796,98761777,98890081,98902897,98933677,98962657,99043297,99072781,99137581,99144817,99167281,99170017,99171277,99229024,99235665,99828303,99899435,99935647,...,540690601358244291553708880542898344189043176656590801255311241629945601759783463071854840394781009350193715002359774056978357209357928173674507746925802476119567144986380324847262226281890368845941755699204049552184986195129866308278773819691541675612468038543922430754714102503799897376859937872689652624190761989943515728314168952884599914914165835084310345367583120073376919427517544955599268133003686652331428573410688648641110542170670218126228458030559210886833877222498521559474381240786465425271256563098399340367202868548673563143796699578187775539484330935115883514293676808620303725208990350054645809389195100648197756505678400255772348935839170082733362784494502255304141915275804786395592993549581486309507286224668961820296130567738487299122542798239892882135997550382029131357316397701919131942449079229890853016224864748714902825236132534292611882146712986594124222645807452752253602975500750421247860155580484964381838343524170807703848909381667794506514071197353995075079656361332586615988768442359320624348141965979388171362943600008382376602703920402196538951748030328992441512671138151049235566253754828230137151572956434687099321825854282703126982750354810832750941630927816494503699748415394570072870250215737404971681574361415511360690733140169295827452446669991972725631334602337161898200981867201738463832527440626386315779844309334080912397338754890272563645685604126358409842166462423435702790410345373996998772705327616059902940580914480514442424703303019906372495054081766617554014487850470921537316985647530024271022260659911638101866794039637520426015348909793462248954664833145502864280002009459114119805931962680401770959503602517682425610711456589443712988778872496983981804888901691935840256137610265382284806940990550801820073964101026957628071370201675882905950370605101015622523411831053700216586451258236556489903771513861896976424236742772578528588610942418291885474819574713830775715257541317723491286242457708462072429738170467207297529731706595838293644031861954464210602927700557824991844168235449202008958663515573492352260193192605664364426438557584971734886697815498653954124285174405818660773448108985176631837757838820162313374739343360277990552877857000843910231143218076741461790037861206537260472448525031087635237383654175125957400890714477589009278490905426376481217634519644147650211273469844380221776107765579583131915936050205398241775809480995211670480950058401391411620310673153222581493201513459432036606998259531909484705670235390207898242301042758428392658553626334883627927079352883920557730241714616454555345974053563477519700615077305750237033002644667211816499764789157258699416353142552625585625670353130551101025738197788946958356094009739393584887273184896261998778236379918701090968171608727159323651467211614706677348065774151396824815965682690279586923356119827557026521023452182805480101059191040968949747947871916904743052699493590731586260161608286775468549559648107391027765908532591103466504496878668064822422749663352029501308666324047414342327215649698996455511228458548764508820895133239412149802578304420576251624961248096867030548238112613270418973761889987154926804857407598644880356}
19919 217423903174923283192560186220456658821077479149571422670818266986808536: {19919,159304,179217,2287465,2744958,3202129,3719617,4156801,4345617,4395469,4574470,4668745,5263165,5291006,5489364,5602494,5767329,6055165,6122217,6315798,6723158,7044265,7241965,7266198,7438486,7558580,8199289,8247009,8453118,8690358,8960017,9070296,9306489,9468116,9659217,9860977,10005565,10204083,10268137,10580948,11187565,11377652,11713270,11771049,11959934,12006678,13251289,13425078,13444964,13524969,13525880,13547245,13678717,13843117,14055924,14087110,14622817,14921065,15115640,15216615,16097065,16231056,16256694,16703101,16904532,17005095,17085620,17728729,17905278,18059889,18138768,18259938,18407217,18612734,18934328,19112054,19254488,19316478,19402801,19421245,19634617,19902529,20406114,20502744,20575117,20612809,21301119,21302269,21661299,21868617,22204598,22241761,22344745,22753016,22807316,22928365,23065587,23148598,23305494,23305777,23403326,23903929,23935089,24188617,25308417,25358475,25597143,25651209,26137076,26589620,26813694,26906054,27046009,27049040,27151215,27514038,27924566,27964609,28385769,28498657,28908337,28961296,29067249,29075917,29446870,29977069,30098797,30216326,30430170,30482665,31061245,31470998,31725094,31907544,32163747,32322875,32343476,32385001,32409865,32458848,32581458,32581880,32987245,33998317,34109977,34148470,34544377,35161689,35336244,35895987,36098535,36443965,36516204,36579198,36654615,36676429,37177617,37221716,37273494,37338680,37401865,37442758,37577012,37823017,38007879,38290175,38437220,38505104,38787450,38891838,39098256,39276457,39584694,39801046,40239169,40807321,40853289,40978164,41373280,41425417,41770526,41879636,41985865,42006015,42183417,42343652,42853369,43128265,43143001,43166180,43318242,43417094,43732758,43786868,43985538,44459245,44806416,44882238,45247475,45408745,45716737,45904729,45948210,46124664,46544940,46699969,46889617,47304745,47469369,47683465,47758291,47942161,48330289,48372358,49011424,49136689,49143457,49205398,49349110,49369129,49388948,49647936,49970276,50034349,50383038,50407218,50474749,50700817,50707465,51106381,51443089,51723489,51753918,51799416,51890247,52403965,52901438,53027078,53173880,53258612,53275334,53349969,53351094,53600855,54086566,54296970,54330134,54490494,54696769,54700250,54941449,55137852,55654717,55677709,55853928,55915081,56586729,56643572,56765694,57220158,57916768,58190846,58274343,58923704,59157565,59218932,59323796,59496638,59672180,59820615,60373369,60848958,60878324,61172209,61462814,61769965,62024420,62260609,62328745,62835669,62884758,62935652,63097286,63313617,63631569,63808656,64321026,64639250,64665229,64809229,64842649,64879604,65117245,65156364,65158849,65178349,65303654,65640300,65673865,66075937,66289167,66749977,67041337,67341565,68226130,68927281,69043270,69132889,69317769,70016320,70195270,70298365,70555640,70641217,70718977,70989078,71277529,71279857,71510169,71523961,71606616,71658488,71784738,71957065,72006934,72509245,72521086,72542036,72549697,72787129,72986486,73491409,73979965,74123958,74429304,74794494,75064441,75087001,76107620,76314932,76572650,76579117,77183295,77550278,77567100,77684926,77715849,78140694,78241729,78355448,78478669,78768360,78808638,78887017,78915675,78924745,78946617,79375095,79616281,79927604,80193169,80551117,80557443,80615799,80786289,80809878,81174889,81871356,81896557,82008417,82205065,82313409,82328126,82328848,82434548,82738240,82851924,83129780,83477245,83732967,83882497,84019584,84021865,84077144,84176720,84234324,84253694,84358038,84666768,84748280,85351449,85418806,85538804,85874054,86045377,86247670,86348478,86437081,86825396,87011094,87388870,87804020,88032889,88149879,88230649,88367889,88614405,88775958,89256169,89267965,89268609,89280601,89462966,89672415,89673638,89728717,89738132,89824801,90138980,90153169,91064217,91174441,91329144,91608745,91694564,91884875,91887180,91958278,92056054,92340457,92554617,92619954,92852049,93080520,93084070,93249529,93288109,94015801,94268377,94301245,94522032,94586787,94698810,94709694,95223729,95250114,95341815,95357110,95506978,95650576,95733097,96028417,96847969,96993417,97041464,97287609,97465900,97672429,98012992,98232854,98615737,98646078,98761270,98920189,98976884,99285888,99695857,99755736,99868417,99976436,...,811035902037366437330563320814347516283564764984886201882966862444918402639675194607782260592171514025290572503539661085467535814036892260511761620388703714179350717479570487270893339422835553268912633548806074328277479292694799462418160729537312513418702057815883646132071153755699846065289906809034478936286142984915273592471253429326899872371248752626465518051374680110065379141276317433398902199505529978497142860116032972961665813256005327189342687045838816330250815833747782339211571861179698137906884844647599010550804302823010344715695049367281663309226496402673825271440515212930455587813485525081968714083792650972296634758517600383658523403758755124100044176741753382956212872913707179593389490324372229464260929337003442730444195851607730948683814197359839323203996325573043697035974596552878697913673618844836279524337297123072354237854198801438917823220069479891186333968711179128380404463251125631871790233370727446572757515286256211555773364072501691759771106796030992612619484541998879923983152663538980936522212948969082257044415400012573564904055880603294808427622045493488662269006707226573853349380632242345205727359434652030648982738781424054690474125532216249126412446391724741755549622623091855109305375323606107457522361542123267041036099710253943741178670004987959088447001903505742847301472800802607695748791160939579473669766464001121368596008132335408845468528406189537614763249693635153554185615518060995498159057991424089854410871371720771663637054954529859558742581122649926331021731775706382305975478471295036406533390989867457152800191059456280639023023364690193373431997249718254296420003014188671179708897944020602656439255403776523638416067184884165569483168308745475972707333352537903760384206415398073427210411485826202730110946151540436442107055302513824358925555907651523433785117746580550324879676887354834734855657270792845464636355114158867792882916413627437828212229362070746163572886311976585236929363686562693108644607255700810946294597559893757440466047792931696315904391550836737487766252353173803013437995273360238528390289788908496546639657836377457602330046723247980931186427761608727991160172163477764947756636758230243470062109015040416985829316785501265865346714827115112192685056791809805890708672787546631452856075481262688936101336071716383513917736358139564721826451779466221475316910204766570332664161648369374697873904075308097362663714221492817505721425087602087117430466009729833872239802270189148054910497389297864227058505353085311847363451564137642588987830439502325441890619029325880836595362571924681833018961080345216279550922615958625355549503967000817724749647183735888049124529713828938378438505529695826651538607296683420437534141014609090377330909777344392998167354569878051636452257413090738985477200817422060016022098661227095237223948524035419380385034179741335539781535178274208220151588786561453424621921807875357114579049240386097379390242412430163202824339472161086541648862798886655199756745318002097233634124495028044251962999486071121513490823474548494683266842687823146763231342699859118224703867456630864377437441872145300545822357168919905628460642834980732390207286111397967320534}
19920 218268214482593667393555522898394787750291571478959236552743318220153681: {139391,199130,238956,576839,616559,1052951,1153562,1171799,1330151,1567439,2001719,2119991,2513711,3102791,3298751,3572759,3659944,3807311,4117437,4158599,4392431,4587071,4703759,5794156,6098399,6214151,6596834,6599471,6830279,6861705,7066562,7175951,7319152,7406039,7469992,7535714,7597559,7689772,7936509,8162956,8170919,8234046,8399759,8403741,8421064,8628311,8742479,8894591,9008591,9312239,9448225,9463871,9473697,9539639,9688264,9691079,9766751,10084737,10105754,10484039,10597031,10899297,10996012,11157729,11270824,11337870,11348471,11587144,11610719,11835145,11947319,12093728,12171359,12408652,12469631,12581351,12679677,12730199,12878956,13035537,13138871,13226185,13472519,13582274,13605444,13620599,14043362,14174759,14202174,14222065,14506391,15694732,15871422,16008904,16008959,16567537,16806205,16809671,16847677,16907350,17066478,17244791,17317199,17461919,17483162,17569905,17859239,17900104,17939354,17939901,17967431,18010017,18033292,18741232,18894550,19077314,19081199,19295879,19831319,19908889,20009399,20137617,20167446,20288820,21002951,21083886,21109031,21130665,21357025,21641408,21675592,21814391,21955079,22481519,22539376,22673460,22971239,23144162,23320079,23494199,23667910,23817434,23873704,23911271,24068110,24079852,24185024,24257951,24346584,24385041,24542956,24672911,25341134,25356798,25361951,25383362,25602359,25628430,25755304,25910879,26389511,26594159,26857917,26934599,27208152,27308159,27336992,27389907,27409871,27511511,27919101,28018631,28401492,28441270,28456679,28509145,28523951,28668081,28759151,28881732,28960439,28974717,29156954,29158156,29428991,29462399,29529191,29629319,30361391,30427751,30460919,30478874,30609171,30754116,30924431,31073992,31122599,31320479,31913452,32014562,32240111,32403671,32436359,32632319,32671345,32990831,33120959,33237025,33306897,33543194,33607799,33691966,33744556,33760994,33769679,33802031,33811300,33866711,33899039,34129524,34201612,34210974,34350791,34722897,34736759,34768871,34958241,35025479,35104989,35751592,35792231,35824079,36014999,36110351,36201620,36300839,36459359,36685384,36795074,36933719,37122959,37154471,37626191,37847692,37877039,37908359,38002271,38516162,38756332,39092591,39185591,39205614,39556871,39587162,39587759,39772919,39884430,40220541,40359081,40418711,40429345,40480031,40573560,40694399,40727350,41121959,41152439,41243831,41271057,41304719,41760359,41886849,42214199,42395231,42543392,42606071,42884996,43206311,43278464,43441944,43594751,44011559,44170305,44189711,44467394,44722439,44928911,45324489,45340679,45518234,45645255,45955391,46334159,46527145,46653599,46673350,46682591,46882252,46914239,46943159,46971265,47114992,47206497,47260751,47587641,47861316,47893031,47978951,48046525,48131380,48441434,48515214,48549911,48688272,48772264,48872187,48872820,49061039,49174271,49484999,49570156,49697992,49738511,49907159,50159591,50677172,50746079,51024119,51222705,51273671,51329039,51439679,51558241,51716600,51855784,51990959,52131008,52265399,52349545,52779592,52929565,53004366,53382239,53733551,53787479,53895239,53957725,54298199,54458879,54471052,54637552,54733585,54774306,54859319,54868797,55018991,55469831,55628399,55813031,55832574,55910241,56008020,56049839,56164137,56244556,56365518,56599871,57042551,57068519,57457079,57655830,57757656,57972359,58181175,58203191,58228799,58310344,58337757,58382279,58509959,58647384,58851554,59377041,59650079,59701569,59741888,59842984,59901239,59976431,60351311,60426071,60848834,60996839,61169711,61264280,61467246,61499552,61538831,61661471,61736185,61832831,61881719,61906151,62028191,62059920,62462845,62655789,62701177,62707919,62819454,62828639,63045431,63292492,63515478,63691919,63763391,63834791,63906119,64749270,64800194,64977363,64990799,65125641,65201039,65247671,65480351,65549999,65599137,65680302,65978307,66197248,66467350,66494639,66573265,66631751,66700199,66836879,66859631,67177384,67209624,67323357,67531874,67583471,67605959,67725914,68387999,68543231,68561017,68808431,68922315,68964652,69005224,69065888,69182159,69186996,69313511,69465794,69466391,69597119,69817410,69901031,70052399,70375439,70696679,70804465,70931111,70994879,71002562,71016119,71079791,71133292,71134792,71312639,71565551,71576474,71754479,71880071,72037742,72151199,72395960,72400271,72462359,72530114,72558537,72565679,72653992,72709991,73486559,73517136,73567501,73628351,73654630,73808097,73971071,74023665,74083422,74111519,74154745,74237594,74291519,74331431,74471904,74521117,74590225,74827631,74955414,75103319,75181154,75357911,75448972,75572279,75574557,75610827,75649991,75687592,75745562,76094351,76097905,76228751,76293544,76343639,76439159,76515431,76894871,77308559,77530525,77630877,77699124,78289271,78562751,78669565,78689759,78780239,78958576,79050479,79104794,79158071,79318919,79352157,79479119,79540617,79585559,79760820,79887918,79913001,79955831,80026641,80530559,80788919,81099505,81129849,81131944,81318362,81418511,81445455,81495201,81735741,82003991,82050375,82218959,82234562,82301279,82388449,82465319,82706778,82904231,83145551,83416871,83575391,83694254,83780892,83811671,83846344,83858711,83890031,84056162,84139439,84216959,84232439,84402191,84418156,84463679,84540359,84784391,84842092,84911281,84965358,85041431,85056479,85078208,85146599,85148541,85281239,85322714,85503074,85592879,85710671,85761368,85813319,85830237,85973831,86017439,86118911,86191151,86291951,86506631,86677079,86875152,86888519,87014519,87286269,87374879,87520400,87593951,87783959,87958991,88012994,88194550,88265351,88318199,88385556,88436639,88515239,88580519,88593551,88788071,88813871,88828398,88917697,88967999,88985694,89171711,89244957,89385911,89508270,89572991,89573110,89659679,89733671,89788514,89905199,89941751,90123431,90146749,90207599,90243551,90422231,90445919,90516791,90599111,90677545,90901439,91141679,91187039,91273437,91317486,91456511,91622591,92035271,92163191,92173799,92194221,92289959,92394719,92423692,92599394,92612111,92731009,92734751,92815871,93036630,93085871,93145079,93184391,93193177,93291839,93296354,93350039,93379031,93503831,93522911,93589439,93814559,93817562,93833111,93952919,94007759,94170551,94197431,94327137,94348391,94357199,94403478,94634831,94645929,94652104,94862711,94871039,94887671,95092871,95134525,95157479,95165519,95332511,95346892,95393665,95402999,95426351,95475488,95500669,95564951,95670959,95693471,95700959,95712984,95715911,95889434,96170519,96177479,96212159,96253511,96321791,96402671,96404162,96481539,96670319,96839231,96857639,96863759,96958875,97130879,97148111,97176671,97319406,97349279,97376399,97461839,97477631,97519391,97534919,97555511,97565759,97631591,97730231,97734546,97763999,97862951,97872191,97940471,97944310,97955481,97967279,97993799,97998191,98063111,98146871,98163239,98207591,98223479,98300999,98334839,98389799,98404151,98460450,98594759,98604071,98619674,98637599,98707391,98740559,98756711,98790719,98795831,98831944,98877839,98908919,98911079,98923871,98952599,98954591,98958551,98981639,99008879,99034319,99062471,99085319,99093359,99104879,99112199,99121511,99132431,99152759,99154511,99165119,99169559,99171671,99181151,99184439,99189719,99191399,99195671,99239072,99725992,99802562,99909505,...,1216553853056049655995844981221521274425347147477329302824450293667377603959512791911673390888257271037935858755309491628201303721055338390767642430583055571269026076219355730906340009134253329903368950323209111492416218939042199193627241094305968770128053086723825469198106730633549769097934860213551718404429214477372910388706880143990349808556873128939698277077062020165098068711914476150098353299258294967745714290174049459442498719884007990784014030568758224495376223750621673508817357791769547206860327266971398515826206454234515517073542574050922494963839744604010737907160772819395683381720228287622953071125688976458444952137776400575487785105638132686150066265112630074434319309370560769390084235486558344196391394005505164095666293777411596423025721296039758984805994488359565545553961894829318046870510428267254419286505945684608531356781298202158376734830104219836779500953066768692570606694876688447807685350056091169859136272929384317333660046108752537639656660194046488918929226812998319885974728995308471404783319423453623385566623100018860347356083820904942212641433068240232993403510060839860780024070948363517808591039151978045973474108172136082035711188298324373689618669587587112633324433934637782663958062985409161186283542313184900561554149565380915611768005007481938632670502855258614270952209201203911543623186741409369210504649696001682052894012198503113268202792609284306422144874540452730331278423277091493247238586987136134781616307057581157495455582431794789338113871683974889496532597663559573458963217706942554609800086484801185729200286589184420958534535047035290060147995874577381444630004521283006769563346916030903984658883105664785457624100777326248354224752463118213959061000028806855640576309623097110140815617228739304095166419227310654663160582953770736538388333861477285150677676619870825487319515331032252102283485906189268196954532671238301689324374620441156742318344043106119245359329467964877855394045529844039662966910883551216419441896339840636160699071689397544473856587326255106231649378529760704520156992910040357792585434683362744819959486754566186403495070084871971396779641642413091986740258245216647421634955137345365205093163522560625478743975178251898798020072240672668289027585187714708836063009181319947179284113221894033404152004107574575270876604537209347082739677669199332212975365307149855498996242472554062046810856112962146043995571332239226258582137631403130676145699014594750808359703405283722082365746083946796340587758029627967771045177346206463883481745659253488162835928543988821254893043857887022749528441620517824419326383923937938033324255950501226587124470775603832073686794570743407567657758294543739977307910945025130656301211521913635565996364666016589497251031854817077454678386119636108478215801226133090024033147991840642855835922786053129070577551269612003309672302767411312330227383179842180136932882711813035671868573860579146069085363618645244804236509208241629812473294198329982799635117977003145850451186742542066377944499229106682270236235211822742024900264031734720144847014049788677337055801184946296566156162808217950818733535753379858442690964252471098585310929167096950980801}
19921 219115781364037201339338708235942810800014243527280928904328079741087079: {39838,298695,318608,358434,1730343,3202451,4157219,4395911,4574930,4912583,5489916,6404258,6536243,7242695,7368431,7439234,8313602,8477231,8691234,8790938,9148940,9337490,9397091,9612215,9861971,9895251,10138751,10203695,10526330,10582012,10589111,10599843,10978728,11204988,11303571,11534658,12110330,12135071,12244434,12351069,12496343,12631596,13446316,13745015,14007791,14088530,14165171,14483930,14518391,14532396,14624291,14876972,15117160,15158631,15471719,15510815,15662591,16098695,16398578,16494018,16901711,16906236,17006805,17281511,17380716,17855039,17920034,18140592,18612978,18936232,18966143,19318434,19618415,19721954,20011130,20373411,20408166,20536274,20577191,20889491,21065043,21140471,21161896,21303261,22244003,22375130,22535891,22541615,22755304,22771391,22930583,22995719,23426540,23542098,23741399,23807133,23919868,24013356,25361025,25599717,26224743,26502578,26850156,26889928,26909031,27049938,27051760,27094490,27189743,27357434,27543191,27686234,28111848,28174220,28341825,28615971,28911251,29245634,29842130,30099815,30101831,30231280,30251169,30433230,30678695,31254563,31282643,31567031,31625829,32099711,32194130,32462112,32513388,32819699,33406202,33503783,33680231,33809064,34010190,34113431,34171240,34671551,34716243,35457458,35501865,35726151,35810556,36011123,36102165,36119778,36277536,36447695,36519876,36814434,37225468,37868656,37998119,38011701,38035197,38075043,38224108,38273183,38442645,38508976,38632956,38805602,38842490,39269234,39805058,39891815,40311791,40812228,40991303,41005488,41150234,41225618,41859191,41956823,42180695,42264125,42602238,42604538,42661905,42675731,42698543,42752015,43322598,43485743,43621619,43735431,43737234,44176031,44409196,44483522,44689490,45252025,45373811,45391583,45506032,45614632,45718311,45721379,45856730,46131174,46182143,46297196,46417631,46610988,46611554,46806652,47309615,47807858,47870178,48021843,48292211,48377234,48445415,48957311,49567319,49576439,50280803,50314791,50537949,50616834,50641491,50705951,50716950,50987183,51021551,51194286,51302418,51316461,52048751,52194083,52274152,52362611,53179240,53606245,53627388,53812108,54028871,54092018,54098080,54302430,54426311,54630959,55028076,55192611,55849132,55920743,55929218,56665619,56771538,56803871,56997314,57774243,57816674,57922592,58078631,58134498,58151834,58602815,58780211,58808421,58893740,59380743,59517551,59826645,59954138,60164225,60197594,60379571,60432652,60808871,60860340,60965330,61091025,61131683,61962695,62122490,62242943,62941996,63169523,63346465,63450188,63572243,63815088,64135439,64327494,64645750,64686952,64770002,64819730,64917696,65162916,65163760,65974490,66199331,66226643,66701091,66756851,67472471,67937231,67996634,68088815,68219954,68277351,68296940,69088754,69278831,70010025,70305695,70313351,70323378,70672488,70990451,71263799,71791974,72197070,72272903,72662151,72772821,72887930,73032408,73158396,73309230,73352858,73365551,74355234,74443432,74546988,74610671,74677360,74803730,74885516,75041197,75154024,75646034,76015758,76580350,76874440,77010208,77574900,77783676,77806931,78196512,78297143,78552914,78895091,79115615,79169388,79230671,79506549,79602092,79624343,80241299,80478338,80893991,81424739,81614642,81706578,81956328,82081871,82161459,82746560,82820591,82850834,83518271,83541052,83748861,83759272,83890991,83971730,84012030,84239831,84366834,84548277,84687304,85107059,85706738,85740551,85891511,86205815,86256530,86286002,86332360,86477951,86483745,86636484,86834188,87260243,87465516,87573736,87734999,87971076,88277331,88739183,88916615,88918490,89612832,89764476,90027719,90162323,90163343,90253559,90494950,90817490,91164143,91273251,91433474,91809458,91896420,91943411,92200869,92249328,92398259,92768951,93089880,93230111,93399938,93779234,94025459,94229181,94278191,94311215,94609490,94938738,95273217,95366930,95516582,95541011,95742791,95884322,96660578,96744716,97123905,97200291,98022848,98273378,98286914,98410796,98417711,98520453,98698220,98738258,98777896,99043571,99295872,99680531,99701025,99940552,...,1622071804074732874661126641628695032567129529969772403765933724889836805279350389215564521184343028050581145007079322170935071628073784521023523240777407428358701434959140974541786678845671106537825267097612148656554958585389598924836321459074625026837404115631767292264142307511399692130579813618068957872572285969830547184942506858653799744742497505252931036102749360220130758282552634866797804399011059956994285720232065945923331626512010654378685374091677632660501631667495564678423143722359396275813769689295198021101608605646020689431390098734563326618452992805347650542881030425860911175626971050163937428167585301944593269517035200767317046807517510248200088353483506765912425745827414359186778980648744458928521858674006885460888391703215461897367628394719678646407992651146087394071949193105757395827347237689672559048674594246144708475708397602877835646440138959782372667937422358256760808926502251263743580466741454893145515030572512423111546728145003383519542213592061985225238969083997759847966305327077961873044425897938164514088830800025147129808111761206589616855244090986977324538013414453147706698761264484690411454718869304061297965477562848109380948251064432498252824892783449483511099245246183710218610750647212214915044723084246534082072199420507887482357340009975918176894003807011485694602945601605215391497582321879158947339532928002242737192016264670817690937056812379075229526499387270307108371231036121990996318115982848179708821742743441543327274109909059719117485162245299852662043463551412764611950956942590072813066781979734914305600382118912561278046046729380386746863994499436508592840006028377342359417795888041205312878510807553047276832134369768331138966336617490951945414666705075807520768412830796146854420822971652405460221892303080872884214110605027648717851111815303046867570235493161100649759353774709669469711314541585690929272710228317735585765832827254875656424458724141492327145772623953170473858727373125386217289214511401621892589195119787514880932095585863392631808783101673474975532504706347606026875990546720477056780579577816993093279315672754915204660093446495961862372855523217455982320344326955529895513273516460486940124218030080833971658633571002531730693429654230224385370113583619611781417345575093262905712150962525377872202672143432767027835472716279129443652903558932442950633820409533140665328323296738749395747808150616194725327428442985635011442850175204174234860932019459667744479604540378296109820994778595728454117010706170623694726903128275285177975660879004650883781238058651761673190725143849363666037922160690432559101845231917250711099007934001635449499294367471776098249059427657876756877011059391653303077214593366840875068282029218180754661819554688785996334709139756103272904514826181477970954401634844120032044197322454190474447897048070838760770068359482671079563070356548416440303177573122906849243843615750714229158098480772194758780484824860326405648678944322173083297725597773310399513490636004194467268248990056088503925998972142243026981646949096989366533685375646293526462685399718236449407734913261728754874883744290601091644714337839811256921285669961464780414572222795934641068}
19922 219966616283875286582460409775231609559224274325474739897638986588737384: {59757,278782,398260,477912,537651,616621,1153678,1211521,1233118,1567597,2041357,2105902,2159617,2307124,2343598,2660302,3134878,3220717,4003438,4239982,4392877,4743121,5027422,6137617,6205582,6597502,6862395,7145518,7319888,7406797,7614622,8209921,8234874,8317198,8438737,8553037,8784862,9174142,9407518,9606387,9692077,10485121,11158851,11436175,11588312,11836417,12196798,12428302,12470403,12954577,13036851,13186407,13193668,13198942,13227515,13288621,13622017,13660558,13723410,14006235,14133124,14176237,14351902,14638304,14812078,14939984,15071428,15195118,15379544,15789495,15873018,16265857,16325912,16341838,16468092,16569203,16799518,16807482,16807895,16842128,17256622,17301987,17484958,17789182,18017182,18165495,18366651,18516659,18596215,18624478,18896450,18927742,18947394,19079278,19083217,19376528,19382158,19533502,19910891,20047117,20169474,20211508,20968078,21132795,21194062,21217297,21725895,21798594,21992024,22315458,22541648,22675740,22696942,23008621,23174288,23221438,23528687,23670290,23894638,24187456,24342718,24597867,24741027,24817304,24939262,25162702,25359354,25460398,25605121,25757912,25913677,26071074,26277742,26426497,26452370,26472259,26880051,26945038,27141421,27164548,27210888,27241198,27345037,27446737,27919467,28086724,28349518,28358797,28404348,28444130,28977651,29012782,29283175,29465617,29582931,29665921,29899835,30016695,30464257,30612249,30804411,30861697,30960877,31356877,31389464,31653121,31742844,31850257,32017808,32017918,32439937,32635921,33135074,33562695,33611521,33612410,33619342,33695354,33805777,33814700,33902797,34132956,34489582,34634398,34772737,34923838,34966324,35061421,35139810,35217775,35313147,35718478,35732497,35800208,35828077,35878708,35879802,35934862,36019021,36020034,36066584,37158637,37482464,37789100,37912621,38154628,38162398,38381521,38591758,39592237,39662638,39753867,39817778,39912803,40018798,40275234,40334892,40574907,40577640,40641735,41036151,41157121,41529351,41613421,41795437,42005902,42167772,42218062,42261330,42714050,43151377,43282816,43351184,43599757,43628782,43867921,43868451,43910158,44135437,44763195,44963038,45078752,45346920,45649845,45739883,45942478,46252237,46288324,46531835,46640158,46688017,46774957,46948621,46988398,47335820,47634868,47747408,47780135,47822542,48136220,48159704,48291195,48370048,48515902,48693168,48770082,49085912,49345822,50109303,50682268,50713596,50723902,50766724,50779921,51015285,51030157,51204718,51256860,51510608,51821758,51859597,52779022,53008717,53186187,53188318,53253121,53715834,53869198,53901697,54179667,54416304,54465421,54616318,54673984,54779814,54819742,55023022,55105357,55221651,55511495,55661521,55838202,56037262,56601083,56802984,56882540,56913358,57018290,57047902,57075457,57336162,57518302,57619021,57763464,57871495,57920878,57949434,58005121,58208403,58235917,58263735,58313908,58316312,58508315,58542637,58857982,58903851,58924798,59058382,59258638,59682577,59707587,59908621,60433537,60508237,60722782,60855502,60921838,60957748,61218342,61508232,61725351,61838427,61848862,61913857,62147984,62245198,62352337,62640958,62860621,63723757,63826904,63903357,63906807,63937921,64029124,64480222,64807342,64858477,64872718,64983897,65138003,65264638,65342690,65605851,65759771,65981662,66241918,66474050,66525997,66613794,66725283,66731521,66868177,67034235,67086388,67215598,67265135,67383932,67489112,67521988,67539358,67604062,67614637,67622600,67733422,67798078,67883917,68259048,68403224,68421948,68701582,68785095,69196761,69213037,69445794,69473518,69537742,69811415,69916482,69917331,69931777,70050958,70061521,70209978,70384621,70513357,71025421,71152717,71503184,71584462,71648158,71711787,71784877,71805267,71847697,72029998,72220702,72403240,72409837,72565851,72595921,72601678,72904621,72918718,73211521,73289363,73370768,73590148,73617175,73698817,73867438,74101391,74245918,74308942,74540497,74600077,75252382,75540815,75601921,75695384,75754078,75816718,75925251,76004542,76075425,76627019,76640017,76791429,76953627,77032324,77512664,78185182,78371182,78411228,78591757,78677495,78809197,79113742,79174324,79175518,79312735,79347757,79507921,79545838,79768860,80037121,80441082,80559121,80718162,80837422,80858690,80960062,81073921,81138027,81147120,81388798,81453645,81454700,81480577,81732397,82230637,82243918,82304878,82329421,82487662,82542114,82609438,82916077,83520718,83773698,83870797,83893827,84244621,84428398,84567937,84790462,84796717,85068877,85086784,85157307,85159021,85212142,85293697,85371175,85495971,85769992,86412622,86430659,86556928,86725011,86883888,87111121,87189502,87201747,87227751,87447983,88023118,88070411,88340610,88379422,88410577,88606957,88934788,88994317,89374477,89412097,89444878,89857822,89931207,90149377,90296391,90648978,90681358,90857857,91036468,91290510,91370317,91447995,91702957,91910782,92188417,92251921,92315137,92503057,92668318,92719021,93054290,93110737,93183735,93202571,93307198,93346700,93365182,93403777,93606895,93745921,93764504,93828478,93886318,93942530,93968257,94023121,94229984,94372717,94412994,94521502,94861777,94886797,95175282,95181421,95229517,95603917,95717137,95722632,95761921,95786062,95957902,96045997,96088621,96093050,96193921,96235537,96262760,96491241,96558097,96843757,96880621,96882868,96968625,97030428,97099822,97155003,97199437,97229595,97368167,97376544,97431277,97544528,97744374,97745640,97781521,97880557,97962637,98015917,98122078,98156497,98322817,98348542,98464621,98535937,98565421,98640877,98761837,98896621,98929921,98961735,98969998,98973517,99091921,99104557,99124177,99126251,99140312,99141997,99189121,99199021,99204097,99215437,99221377,99395984,99477022,99502615,99814318,...,2433107706112099311991689962443042548850694294954658605648900587334755207919025583823346781776514542075871717510618983256402607442110676781535284861166111142538052152438711461812680018268506659806737900646418222984832437878084398387254482188611937540256106173447650938396213461267099538195869720427103436808858428954745820777413760287980699617113746257879396554154124040330196137423828952300196706598516589935491428580348098918884997439768015981568028061137516448990752447501243347017634715583539094413720654533942797031652412908469031034147085148101844989927679489208021475814321545638791366763440456575245906142251377952916889904275552801150975570211276265372300132530225260148868638618741121538780168470973116688392782788011010328191332587554823192846051442592079517969611988976719131091107923789658636093741020856534508838573011891369217062713562596404316753469660208439673559001906133537385141213389753376895615370700112182339718272545858768634667320092217505075279313320388092977837858453625996639771949457990616942809566638846907246771133246200037720694712167641809884425282866136480465986807020121679721560048141896727035617182078303956091946948216344272164071422376596648747379237339175174225266648867869275565327916125970818322372567084626369801123108299130761831223536010014963877265341005710517228541904418402407823087246373482818738421009299392003364105788024397006226536405585218568612844289749080905460662556846554182986494477173974272269563232614115162314990911164863589578676227743367949778993065195327119146917926435413885109219600172969602371458400573178368841917069070094070580120295991749154762889260009042566013539126693832061807969317766211329570915248201554652496708449504926236427918122000057613711281152619246194220281631234457478608190332838454621309326321165907541473076776667722954570301355353239741650974639030662064504204566971812378536393909065342476603378648749240882313484636688086212238490718658935929755710788091059688079325933821767102432838883792679681272321398143378795088947713174652510212463298757059521409040313985820080715585170869366725489639918973509132372806990140169743942793559283284826183973480516490433294843269910274690730410186327045121250957487950356503797596040144481345336578055170375429417672126018362639894358568226443788066808304008215149150541753209074418694165479355338398664425950730614299710997992484945108124093621712225924292087991142664478452517164275262806261352291398029189501616719406810567444164731492167893592681175516059255935542090354692412927766963491318506976325671857087977642509786087715774045499056883241035648838652767847875876066648511901002453174248941551207664147373589141486815135315516589087479954615821890050261312602423043827271131992729332033178994502063709634154909356772239272216956431602452266180048066295983681285711671845572106258141155102539224006619344605534822624660454766359684360273865765423626071343737147721158292138170727237290489608473018416483259624946588396659965599270235954006291700902373485084132755888998458213364540472470423645484049800528063469440289694028099577354674111602369892593132312325616435901637467071506759716885381928504942197170621858334193901961602}
19923 220820731754115797330199117384683159407564292235630538076954986774226462: {79676,418173,497825,597390,637216,716868,1730517,1849677,2883905,3158853,3460686,3515397,3990453,4702317,4913077,5031917,5747921,6005157,6359973,6404902,7541133,8314438,8791822,9149860,9308373,9825166,9896253,10139773,10718277,10979832,11105653,11421933,12352311,12475797,12808516,12884597,13072486,13177293,13457101,13761213,13966501,14111277,14285173,14485390,14736862,14878468,15495821,16226437,16492085,16627204,16954462,17283253,17382468,17581876,17666405,17887553,18295197,18297880,18642453,18674980,18794182,18839285,19086421,19224430,19243021,19723942,19790502,19798413,20277502,20407390,20490837,20585115,21052660,21164024,21178222,21199686,21461093,21527853,21715141,21957456,22218117,22409976,22538173,22607142,22792677,22998037,23069316,23605217,23809527,24220660,24270142,24488868,24512757,24702138,24984193,24992686,25199277,25211223,25263192,25264385,25884933,26227437,26683773,26892632,26924237,27025773,27465781,27490030,27936717,28015582,28058017,28177060,28330342,28344675,28391613,28421091,28618917,28967860,29036782,29064792,29073237,29248582,29300253,29753944,30234320,30254211,30317262,30495617,30943438,31021630,31325182,31452117,31558261,31570213,31791093,32197390,32391557,32697891,32797156,32988036,33352721,33473187,33803422,33812472,33955685,34013610,34045413,34563022,34761432,34832157,35108405,35505435,35710078,35840068,35841957,36281184,36514077,37225956,37408893,37563317,37744053,37872464,37932286,38022353,38039031,38190597,38636868,38750557,38786917,39106611,39236830,39416613,39443908,39678555,40022260,40315873,40417557,40746822,40816332,40861797,41072548,41154382,41778982,42130086,42139741,42268375,42280942,42323792,42524277,42606522,42666195,42950173,43519173,43707905,44488006,44750260,44848385,44850397,45071782,45083230,45510608,45542782,45861166,45991438,46853080,47084196,47236375,47482798,47614266,47693285,47721901,47839736,48026712,48026877,48522037,48710573,49131301,49469953,49702611,50418615,50429013,50543031,50722050,51026773,51199434,51734373,51951597,51985237,52385757,52449486,52709715,53005156,53514913,53577717,53700312,53779856,53818062,53819703,53902293,54030051,54034357,54099876,54103520,54188980,54284021,54379486,54714868,55086382,55372468,55848541,56039021,56223696,56348440,56671357,56683650,57072613,57081253,57231942,57243597,57822502,57860405,57887637,57973697,58491268,58590337,59052973,59169775,59493957,59543585,59684260,59726667,59852821,60028197,60029261,60170275,60199630,60203662,60412851,60462560,60502338,60866460,61357390,62273213,62509126,62565286,63008853,63134062,63251658,63327093,63352835,63391995,63458405,64071075,64199422,64388260,64924224,65026776,65443173,65639398,65865237,66005441,66233461,66812404,67007566,67263997,67360462,67444557,67618128,67686677,67823581,68020380,68226862,68342480,68913717,69343102,69432486,69960237,70482597,70914916,71003730,71103175,71452302,71621112,71733813,72022246,72204330,72224657,72239556,72555072,72773853,72892385,72895390,73039752,73155123,73628868,73679521,74018733,74450936,75048743,75079637,75737312,75947597,75996238,76023402,76070394,76085853,76150086,76197185,76448216,76546366,76807077,76885290,77017952,77212493,77214797,77265912,77611204,77684980,77732637,78235573,78493733,78538468,79168533,79610116,79740193,79760641,79782477,79783630,80036405,80573751,80623582,80803797,81624456,81924477,81982606,82010976,82043941,82169721,82229613,82300468,82451236,82534533,82912877,83388397,83718382,83757303,83857985,83913646,84055893,84229915,84361390,84402485,84528250,85115677,85204476,85209076,85323810,85351462,85370037,85397086,85504030,85527435,85571853,86004243,86277453,86581637,86645196,86747773,86881317,86924151,86971486,87243238,87470862,87474468,87592333,88286973,88352062,88387197,88587573,88685051,88818392,88887957,88967044,89378980,90504050,90747622,90783166,91012064,91084173,91229264,91283253,91382757,91436622,91442758,91713460,91827513,91987685,92262348,92364286,92594392,92773293,92835262,92847541,93221976,93223108,93239653,93367797,93613304,93961437,94619230,94872437,95324341,95537861,95615716,95740356,96043686,96127757,96229237,96290405,96584422,96720333,96754468,96890830,97211013,97309077,97896957,97914622,98014035,98427973,98967905,98972493,99134638,99152878,99362877,99711075,99920691,...,3649661559168148967987534943664563823276041442431987908473350881002132811878538375735020172664771813113807576265928474884603911163166015172302927291749166713807078228658067192719020027402759989710106850969627334477248656817126597580881723282917906310384159260171476407594320191900649307293804580640655155213287643432118731166120640431971049425670619386819094831231186060495294206135743428450295059897774884903237142870522148378327496159652023972352042091706274673486128671251865020526452073375308641620580981800914195547478619362703546551220627722152767484891519233812032213721482318458187050145160684862868859213377066929375334856413329201726463355316914398058450198795337890223302957928111682308170252706459675032589174182016515492286998881332234789269077163888119276954417983465078696636661885684487954140611531284801763257859517837053825594070343894606475130204490312659510338502859200306077711820084630065343423056050168273509577408818788152952000980138326257612918969980582139466756787680438994959657924186985925414214349958270360870156699869300056581042068251462714826637924299204720698980210530182519582340072212845090553425773117455934137920422324516408246107133564894973121068856008762761337899973301803913347991874188956227483558850626939554701684662448696142746835304015022445815898011508565775842812856627603611734630869560224228107631513949088005046158682036595509339804608377827852919266434623621358190993835269831274479741715760961408404344848921172743472486366747295384368014341615051924668489597792990678720376889653120827663829400259454403557187600859767553262875603605141105870180443987623732144333890013563849020308690040748092711953976649316994356372872302331978745062674257389354641877183000086420566921728928869291330422446851686217912285499257681931963989481748861312209615165001584431855452033029859612476461958545993096756306850457718567804590863598013714905067973123861323470226955032129318357736077988403894633566182136589532118988900732650653649258325689019521908482097215068192633421569761978765318694948135589282113560470978730121073377756304050088234459878460263698559210485210254615914190338924927239275960220774735649942264904865412036095615279490567681876436231925534755696394060216722018004867082755563144126508189027543959841537852339665682100212456012322723725812629813611628041248219033007597996638926095921449566496988727417662186140432568338886438131986713996717678775746412894209392028437097043784252425079110215851166247097238251840389021763274088883903313135532038619391650445236977760464488507785631966463764679131573661068248585324861553473257979151771813814099972767851503679761373412326811496221060383712230222702973274883631219931923732835075391968903634565740906697989093998049768491753095564451232364035158358908325434647403678399270072099443975521928567507768358159387211732653808836009929016908302233936990682149539526540410798648135439107015605721581737438207256090855935734412709527624724889437419882594989948398905353931009437551353560227626199133833497687320046810708705635468226074700792095204160434541042149366032011167403554838889698468488424653852456200607260139575328072892757413295755932787501290852942403}
19924 221678140334331955863213781747891652472728433058843422449954757239996578: {99595,119514,219043,557564,796520,896085,955824,1075302,1233242,1409563,1646803,2307356,2423042,2466236,2592883,3135194,3416923,3886219,4082714,4211804,4319234,4471219,4614248,4687196,5170843,5191029,5320604,6269756,6441434,6793219,6908563,7484203,8006876,8479964,8785754,8972443,9086419,9486242,9541603,9607353,9768763,10054844,10108963,11437325,12275234,12411164,12471657,13187733,13195004,13724790,14251483,14291036,14583043,14639776,14737749,14813594,15229244,16010645,16419842,16469748,16634396,16877474,16885819,17106074,17320843,17569724,18348284,18511219,18518521,18598085,18815036,19156843,19212774,19384154,19608729,20784005,20970242,21607723,21728085,21977345,22105293,22135483,22317702,22346083,22871323,22872350,23176624,23343725,23531053,23672834,24332419,24393596,24856604,24940806,25431693,25909154,26034701,26073702,26315825,26372814,26387336,26397884,26455030,26474921,26577242,27244034,27314083,27321116,27446820,27822043,28012470,28024723,28191273,28266248,28352474,28530163,28703804,28832563,28836645,29033803,29276608,29535643,29585913,29624156,29685753,29879968,29935819,30142856,30275825,30390236,30416253,30434419,30611085,30759088,31285397,31525003,31578990,31746036,31767333,31799529,32531714,32651824,32683676,32936184,33138406,33388219,33599036,33614964,33615790,33684256,33874219,33910713,34513244,34603974,34969916,35221325,35578364,35895763,36034364,36209825,36330990,36405213,36733302,37033318,37053207,37192430,37225819,37248956,37489029,37792900,37855484,37894788,38073403,38158556,38166434,38753056,38764316,39067004,39658483,39821782,40028419,40094234,40338948,40423016,40489219,40996445,41235045,41314123,41859769,41936156,42023373,42265590,42388124,42434594,42495513,42676003,42766219,43451790,43555173,43597188,43872873,43984048,44021683,44630916,44800085,44909803,45083296,45351480,45393884,45475893,45527203,46017242,46348576,46403083,46415157,46442876,46532445,46987773,47057374,47098603,47340580,47789276,47961523,48296085,48374912,48685436,49195734,49304885,49327219,49411963,49482054,49634608,49878524,50027825,50325404,50705133,50718708,50920796,51020415,51091723,51210242,51340685,51341203,51515824,51827354,51844533,52142148,52555484,52660819,52852994,52904740,52944518,53565117,53760102,53800363,53890076,54203923,54282842,54329096,54421776,54482396,54690074,54893474,55800163,55838934,55937825,56173448,56699036,56717594,56808696,56888260,56898429,57367603,57955302,58025564,58566350,58855245,58931234,59058523,59165862,59331842,59664763,59799670,60033390,60041323,60928514,61120233,61224498,61234219,61529563,61608822,61676803,61723394,61731573,61897123,61921754,62043643,62668473,62699419,62713754,62771923,62778928,63195129,63306242,63421413,63485688,63700514,63707923,63909783,64035616,64035836,64879874,65144569,65194219,65264203,65271842,65543419,66256445,66270148,66511603,66648763,66732009,66892189,66990403,67125390,67223042,67224820,67238684,67390708,67607673,67611554,67624845,67629400,67736225,67805594,68004523,68265912,68272219,68314173,68393585,68791749,68870323,68936419,68979164,68987157,69002443,69200083,69215585,69268796,69545474,69658723,69847676,69919219,69932648,70122842,70279620,70435550,70626294,70885819,71224197,71421399,71436956,71458003,71464994,71600416,71656154,71757416,71759604,71869724,72038042,72040068,72086923,72133168,72460819,72522883,72770419,73114085,73323163,74291419,74317274,74351323,74605325,74964928,75417283,75578200,75825242,76083075,76114963,76287763,76309256,76324796,76763042,76799151,77183516,77479219,77535163,77716093,77813803,78255883,78310819,78674229,79126219,79184474,79325276,79340923,79507734,79635556,79825606,80037596,80485325,80550468,80669784,80727093,81020093,81149814,81155280,81221419,81283470,81569229,81911641,82072302,82275283,82314242,82472419,82629573,82960219,83058702,83226842,83515505,83590874,83631043,83914219,84011804,84335544,84436124,84522660,84656683,84884923,85025475,85111363,85428100,85847913,85911643,86302754,86565632,86702368,86733753,87068323,87199514,87257564,87735842,87736902,87820316,88270874,88643645,88840819,88995043,89262163,89526390,89926076,89969419,90157504,90295363,90299445,90305493,90367003,90473923,90544843,90693840,90753507,91067563,91299690,91479766,91673443,91884956,91902763,92036085,92064403,92504474,92576648,92845603,92936323,93063670,93115819,93280316,93292723,93376034,93409219,93549914,93553219,93763689,93847929,93863683,93897242,93976796,94001923,94171189,94246219,94640419,94666123,94671640,94701093,94793563,94877487,94919203,95140819,95269736,95494816,95560270,95645084,95748283,95815243,95837419,95859523,95947219,96272440,96286483,96299133,96319408,96449203,96582390,96740096,97014005,97031804,97106225,97106923,97141843,97312123,97386336,97540164,97554043,97600483,97735981,97765219,97779763,97907419,97962283,97975819,98042419,98171824,98173085,98219323,98393203,98459097,98530421,98691644,98744419,98793883,98817643,98833123,98965819,98990443,98996419,99019603,99025219,99057403,99100819,99126523,99160219,99193483,99212203,99224803,99230419,99235819,99512645,...,4866215412224198623983379924886085097701388589909317211297801174669510415838051167646693563553029084151743435021237966512805214884221353563070569722332222285076104304877422923625360036537013319613475801292836445969664875756168796774508964377223875080512212346895301876792426922534199076391739440854206873617716857909491641554827520575961399234227492515758793108308248080660392274847657904600393413197033179870982857160696197837769994879536031963136056122275032897981504895002486694035269431167078188827441309067885594063304825816938062068294170296203689979855358978416042951628643091277582733526880913150491812284502755905833779808551105602301951140422552530744600265060450520297737277237482243077560336941946233376785565576022020656382665175109646385692102885184159035939223977953438262182215847579317272187482041713069017677146023782738434125427125192808633506939320416879347118003812267074770282426779506753791230741400224364679436545091717537269334640184435010150558626640776185955675716907251993279543898915981233885619133277693814493542266492400075441389424335283619768850565732272960931973614040243359443120096283793454071234364156607912183893896432688544328142844753193297494758474678350348450533297735738551130655832251941636644745134169252739602246216598261523662447072020029927754530682011421034457083808836804815646174492746965637476842018598784006728211576048794012453072811170437137225688579498161810921325113693108365972988954347948544539126465228230324629981822329727179157352455486735899557986130390654238293835852870827770218439200345939204742916801146356737683834138140188141160240591983498309525778520018085132027078253387664123615938635532422659141830496403109304993416899009852472855836244000115227422562305238492388440563262468914957216380665676909242618652642331815082946153553335445909140602710706479483301949278061324129008409133943624757072787818130684953206757297498481764626969273376172424476981437317871859511421576182119376158651867643534204865677767585359362544642796286757590177895426349305020424926597514119042818080627971640161431170341738733450979279837947018264745613980280339487885587118566569652367946961032980866589686539820549381460820372654090242501914975900713007595192080288962690673156110340750858835344252036725279788717136452887576133616608016430298301083506418148837388330958710676797328851901461228599421995984969890216248187243424451848584175982285328956905034328550525612522704582796058379003233438813621134888329462984335787185362351032118511871084180709384825855533926982637013952651343714175955285019572175431548090998113766482071297677305535695751752133297023802004906348497883102415328294747178282973630270631033178174959909231643780100522625204846087654542263985458664066357989004127419268309818713544478544433912863204904532360096132591967362571423343691144212516282310205078448013238689211069645249320909532719368720547731530847252142687474295442316584276341454474580979216946036832966519249893176793319931198540471908012583401804746970168265511777996916426729080944940847290968099601056126938880579388056199154709348223204739785186264624651232871803274934143013519433770763857009884394341243716668387803923204}
19925 222538854631841878402530219623935058606952861863502851725228811055737265: {159352,179271,696955,836346,995650,1194780,1274432,1433736,1612953,1849863,2884195,3082795,3461034,3634563,3699354,4037467,4702791,5032423,5264755,5748499,5767810,5858995,5946811,6124071,6317706,6424147,6478851,6650755,6921372,7030794,7837195,7980906,9404634,9662151,9826154,10008595,10063834,10271239,10599955,11495842,11578963,12010314,12568555,12719946,12809804,13178631,13321363,13847299,14229363,15082266,15227251,15497383,15513955,15868939,15932323,16493755,16628876,16708147,17583644,17863795,18299720,18313243,18412851,18616746,18728923,19036555,19650332,19792506,19991971,20279546,20587185,20792995,21436554,21959664,21962155,22012243,22211306,22220391,22598899,22843866,22935355,23088919,23518795,24612643,24629763,24704622,24732967,24756691,24951594,25233163,25316211,25617032,25659111,25769194,26144972,26354586,26374999,26914202,26926951,27522426,27836923,27933002,28222554,28570346,28819161,28970780,29076231,29473724,29756936,29803939,29986147,30491995,30498691,30991642,31070755,31455363,32452874,32598763,32826343,32984170,32997355,33254408,33356083,33476553,33908924,34151395,34308525,34503499,34566506,34764936,34979683,35163752,35332810,35370139,35413543,35509251,35775106,35879755,36018019,36590394,36595760,37030195,37284906,37349960,37411209,37588364,37678570,37834471,37987795,38172842,38280931,38448860,38486042,38863731,39110553,39447884,39559221,39581004,39596826,39682545,39865863,40555004,40557211,40814780,40854595,40866051,40981674,41170230,41998795,42018705,42105320,42328048,42356444,42399372,42495571,42528711,42726739,42922186,43055706,43141555,43430282,43712395,43914912,44043379,44393011,44436234,44472955,44819952,45042955,45076346,45214284,45585354,45996074,45997723,46138632,46561195,47210434,47241125,47319355,47368485,47537959,47619054,47689891,47698195,48441320,48455395,48540284,48797571,48833755,48977736,49025514,49151767,49158439,49404276,49621051,49707609,49968386,49985372,50049547,50398554,50422446,50423685,50442403,50526384,50528770,51769866,51905961,52420195,52454874,52715419,52985155,53367546,53785264,53848474,54051546,54496485,54931562,54958087,54980060,55099953,55549977,55671571,55788645,55873434,56031164,56116034,56354120,56660684,56689350,56742355,56783226,56842182,57237834,57249651,57675643,57935720,58053595,58073564,58129584,58146474,58497164,58600506,59121691,59175725,59507888,59732673,59736595,60141351,60468640,60508422,60634524,60699979,60856795,60991234,61191067,61886876,61955251,61971883,62043260,62348155,62631847,62650364,62787739,62904234,62906755,63116522,63140426,63182311,63398385,63582186,63650995,63651891,64021099,64153843,64394780,64783114,65177685,65395782,65594312,65694355,65976072,66130925,66675547,66705442,66770599,66946374,67061863,67091527,67362595,67382803,67606844,67624944,67693531,67911370,68027220,68090826,68102995,68334739,68595223,69025863,69126044,69522864,69664314,70216810,70586061,70653139,70873795,71010870,71110325,71301703,71420156,71680136,71683914,72531955,72562368,72571939,73028154,73770787,73793601,74001511,74223081,74451912,74511163,74817786,75126634,75488106,75744928,75747811,75864572,75948979,76044706,76078062,76381194,76815363,77273736,77501114,77573834,77741031,78213222,78473660,78502507,78833226,78887816,79279491,79357110,79416777,80044520,80044795,80176723,80257543,80631746,80640153,80835114,81004567,81424263,81493644,81632664,81723594,82035111,82145096,82284103,82308764,82340211,82837685,82873291,83361019,83557964,83758401,84031025,84048355,84238385,84260172,84279482,84536750,84561884,84647584,85048554,85076391,85213044,85248451,85332390,85723483,85900346,86223955,86585995,86761699,86932953,87038346,87309595,87415810,87488251,87849525,88396851,88693969,88748793,88841767,88976012,88997763,89296195,89500520,89696770,89699505,89700794,89756251,89837155,89871667,90050085,90143564,90166460,91021216,91085564,91253851,91392771,91722332,91836747,91982876,92368903,92413233,92585091,92882631,93706160,93881419,94070631,94168392,94472750,94882183,94959363,94965596,95228532,95386570,95405995,95443802,95550771,95679472,96053424,96053754,96479395,97044074,97319811,97421146,97810339,97907763,98262602,98939906,99156595,99405222,99544445,99899239,...,7299323118336297935975069887329127646552082884863975816946701762004265623757076751470040345329543626227615152531856949769207822326332030344605854583498333427614156457316134385438040054805519979420213701939254668954497313634253195161763446565835812620768318520342952815188640383801298614587609161281310310426575286864237462332241280863942098851341238773638189662462372120990588412271486856900590119795549769806474285741044296756654992319304047944704084183412549346972257342503730041052904146750617283241161963601828391094957238725407093102441255444305534969783038467624064427442964636916374100290321369725737718426754133858750669712826658403452926710633828796116900397590675780446605915856223364616340505412919350065178348364033030984573997762664469578538154327776238553908835966930157393273323771368975908281223062569603526515719035674107651188140687789212950260408980625319020677005718400612155423640169260130686846112100336547019154817637576305904001960276652515225837939961164278933513575360877989919315848373971850828428699916540721740313399738600113162084136502925429653275848598409441397960421060365039164680144425690181106851546234911868275840844649032816492214267129789946242137712017525522675799946603607826695983748377912454967117701253879109403369324897392285493670608030044891631796023017131551685625713255207223469261739120448456215263027898176010092317364073191018679609216755655705838532869247242716381987670539662548959483431521922816808689697842345486944972733494590768736028683230103849336979195585981357440753779306241655327658800518908807114375201719535106525751207210282211740360887975247464288667780027127698040617380081496185423907953298633988712745744604663957490125348514778709283754366000172841133843457857738582660844893703372435824570998515363863927978963497722624419230330003168863710904066059719224952923917091986193512613700915437135609181727196027429810135946247722646940453910064258636715472155976807789267132364273179064237977801465301307298516651378039043816964194430136385266843139523957530637389896271178564227120941957460242146755512608100176468919756920527397118420970420509231828380677849854478551920441549471299884529809730824072191230558981135363752872463851069511392788120433444036009734165511126288253016378055087919683075704679331364200424912024645447451625259627223256082496438066015195993277852191842899132993977454835324372280865136677772876263973427993435357551492825788418784056874194087568504850158220431702332494194476503680778043526548177767806626271064077238783300890473955520928977015571263932927529358263147322136497170649723106946515958303543627628199945535703007359522746824653622992442120767424460445405946549767262439863847465670150783937807269131481813395978187996099536983506191128902464728070316717816650869294807356798540144198887951043857135015536716318774423465307617672019858033816604467873981364299079053080821597296270878214031211443163474876414512181711871468825419055249449778874839765189979896797810707862018875102707120455252398267666995374640093621417411270936452149401584190408320869082084298732064022334807109677779396936976849307704912401214520279150656145785514826591511865575002581705884806}
19926 223402887301888793920006633220706790938808763474554075383922446966508744: {139433,199190,239028,258869,438086,735893,1115128,1172153,1254519,1449269,1493475,1593040,1646969,1792170,1911648,2120633,2150604,2238869,2466484,2819126,2946773,3221369,3293606,3299753,3417269,3925673,4471673,4510613,4614712,4705193,4846084,4932472,5185766,5191551,5549031,6216053,6270388,6832373,6833846,7178153,7293269,7484969,7772438,8165428,8173433,8423608,8630969,8638468,8651715,8745173,8897333,8942438,9011369,9228496,9315113,9374392,9476559,9694073,9769769,9883253,10147769,10341686,10382058,10546191,10600313,10641208,11464469,11726633,11913653,11971359,12539512,12585269,12696953,12882868,13031573,13586438,13809833,13817126,14106951,14252969,14731733,14739231,14968406,15062393,15095751,16012255,16013752,16013993,16269269,16342133,16959928,17243763,17571508,17944886,17973113,18015471,18081269,18172838,18333353,18972484,19079919,19083206,19087253,19158869,19214706,19537526,20109688,20217926,20477993,20786095,21115769,21221813,21645269,21979555,22414903,22623399,22698869,22874650,24023093,24550468,24562915,24822328,24943314,25473269,26037319,26090453,26329769,26375466,26390008,26500469,27350969,27418793,27449580,27520469,27622073,27925119,28502966,28582072,28634153,29097607,29166086,29271413,29279552,29475498,29538869,29627188,29639033,29688759,29939093,30271733,30419319,30458488,30470933,30768283,30868469,30934613,31132853,31288543,32021290,32154831,32250773,32348969,32681215,32839684,32939496,33268792,33316959,33716153,33754948,33771638,33877973,33910313,34212148,34265799,34458869,34641686,35037173,35139448,35644793,35804213,35899769,36122453,36213475,36696568,36842155,36851369,36973651,37022438,37037042,37056933,37196170,37229993,37261493,37418873,37427391,37630072,38015093,38108969,38313686,38425548,38653791,38670713,38768308,39198869,39217458,39531879,39662969,40032953,40063733,40371303,41257913,41283639,41410133,41568010,41899503,41940484,42319253,42333831,42386155,42620693,42855519,42951353,43215446,43221173,43456170,43954690,44145593,44204969,44210586,44270966,44293973,44635404,44692166,44944469,45180053,45532469,45742646,45744700,46321193,46353248,46487463,46687450,46785833,46985455,47062106,47345668,47478953,47795093,47995769,48061075,48224633,48424469,48664838,48679311,48787192,49078313,49309855,49333013,49476255,49713208,49881612,49924793,50261369,50693755,50764073,50863386,51018475,51097769,51291893,51818308,51849759,51926969,52069402,52147404,52631650,52745628,52774672,52795768,52910060,52945555,52949842,52999215,53021369,53075753,53154484,53662659,54237269,54488068,54628166,54642232,54885591,54893640,54959033,55118633,55171769,55644086,55648553,55833269,55927359,56024940,56049446,56280233,56382546,56517855,56532496,56620469,56704948,56829173,57060326,57259263,57395023,57407608,57478073,57665126,57673290,57729063,58067606,58224533,58553216,58684469,58862633,59071286,59171826,59248312,59371506,59395239,59520953,59697269,59747573,59759936,59871638,59998613,60148853,60285712,60448469,60523193,60551650,60675355,60780472,60832506,60868838,61222170,61472511,61518176,61561769,61755345,61929269,62051369,62481715,62570794,62720119,62731433,63050006,63157980,63309353,63492072,63534666,63572693,63599058,63739769,63787433,63858869,63930233,64285973,64383279,64583559,65063428,65145423,65225813,65303648,65342393,65367352,65505269,65574953,65783573,65872368,66276812,66542969,66654351,66725753,66776438,66998969,67157813,67198072,67229928,67231580,67368512,67614519,67748438,67821426,67834133,68378031,68725075,68994111,69026488,69026839,69207948,69230969,69558869,69939832,69949973,70038955,70144553,70442650,70467413,70815651,70825855,70895093,70916393,71022773,71107733,71156728,71171369,71428581,71791526,71876959,71908469,72068728,72419650,72470393,72491093,72591955,72661980,72810426,73121455,73466604,73538271,73718453,74060969,74066636,74106414,74201333,74321333,74384860,74451638,74497912,74500793,74659769,74952579,74978058,75015593,75212153,75585800,75597831,75602873,75633669,75710968,75738869,75789576,75793155,76067513,76146806,76259753,76317112,76332868,76374713,76470293,76660853,76831673,77265269,77358595,77489813,77506112,77528632,77554075,77654799,77824469,78134008,78312955,78376469,78504233,78682311,78776693,79137173,79155113,79316966,79369769,79405433,79512233,79643564,79848533,80051319,80056838,80188468,80425769,80493475,80677896,80772711,80846032,80942969,80978438,81077319,81503573,81788969,81992890,82253993,82286969,82397343,82470090,82500533,82628246,82729013,82972073,83719538,83810151,83872312,83894969,83926313,83973269,84046746,84082553,84174051,84508555,84531180,84776248,84821369,84869188,84991026,85034025,85078613,85123769,85174839,85228853,85263273,85318613,85352006,85452713,85526933,85532438,85674773,85836473,85856751,86055413,86272553,86373269,86407555,86487893,86758073,86903580,86913173,87053333,87110346,87194376,87219711,87469013,87745746,87900759,87944873,87968096,88043366,88344953,88672853,88944559,89021369,89123513,89261832,89275195,89401769,89426873,89464469,89600170,89651369,89774969,89819606,89983253,90165113,90166592,90237353,90285353,90594233,90641273,90702960,90762633,90787768,90951786,91054406,91081769,91218473,91486851,91555193,91698869,91786613,91830293,92034484,92207033,92428373,92697152,92759023,92806166,92830314,92885752,93064890,93140693,93278453,93424313,93433973,93596969,93691769,93906773,93975546,94017269,94081193,94114748,94135673,94197206,94243769,94356351,94656053,94674783,94681160,94707413,94710639,94809269,94830715,94909973,94934969,95083433,95373279,95380469,95474453,95559593,95578552,95636153,95741993,95751019,95764469,95923046,95963513,96184853,96282293,96391733,96472469,96591413,96592170,96745973,96749824,96889769,96901819,96908213,96950969,97174671,97199273,97244969,97329269,97370872,97395413,97428053,97476473,97529513,97586933,97698869,97797269,97925033,97997993,98060153,98092075,98093673,98179769,98200469,98273333,98391468,98414969,98444153,98458553,98562473,98579093,98609770,98637269,98654438,98659193,98683769,98737193,98823926,98846633,98869493,98941013,98958869,98964108,98986793,99011369,99015353,99021269,99044213,99138869,99145769,99180713,99208469,99215573,99222953,99230393,99244469,99250133,99250553,99255593,99269216,99757048,...,10948984677504446903962604830993691469828124327295963725420052643006398435635615127205060517994315439341422728797785424653811733489498045516908781875247500141421234685974201578157060082208279969130320552908882003431745970451379792742645169848753718931152477780514429222782960575701947921881413741921965465639862930296356193498361921295913148277011858160457284493693558181485882618407230285350885179693324654709711428611566445134982488478956071917056126275118824020458386013755595061579356220125925924861742945402742586642435858088110639653661883166458302454674557701436096641164446955374561150435482054588606577640131200788126004569239987605179390065950743194175350596386013670669908873784335046924510758119379025097767522546049546476860996643996704367807231491664357830863253950395236089909985657053463862421834593854405289773578553511161476782211031683819425390613470937978531015508577600918233135460253890196030269168150504820528732226456364458856002940414978772838756909941746418400270363041316984878973772560957776242643049874811082610470099607900169743126204754388144479913772897614162096940631590547558747020216638535271660277319352367802413761266973549224738321400694684919363206568026288284013699919905411740043975622566868682450676551880818664105053987346088428240505912045067337447694034525697327528438569882810835203892608680672684322894541847264015138476046109786528019413825133483558757799303870864074572981505809493823439225147282884225213034546763518230417459100241886153104043024845155774005468793378972036161130668959362482991488200778363210671562802579302659788626810815423317610541331962871196433001670040691547060926070122244278135861929947950983069118616906995936235188022772168063925631549000259261700765186786607873991267340555058653736856497773045795891968445246583936628845495004753295566356099089578837429385875637979290268920551373155703413772590794041144715203919371583970410680865096387955073208233965211683900698546409768596356966702197951960947774977067058565725446291645204577900264709285936295956084844406767846340681412936190363220133268912150264703379635380791095677631455630763847742571016774781717827880662324206949826794714596236108286845838471703045629308695776604267089182180650166054014601248266689432379524567082631879524613557018997046300637368036968171177437889440834884123744657099022793989916778287764348699490966182252986558421297705016659314395960141990153036327239238682628176085311291131352757275237330647553498741291714755521167065289822266651709939406596115858174951335710933281393465523356895899391294037394720983204745755974584660419773937455315441442299918303554511039284120236980434488663181151136690668108919824650893659795771198505226175906710903697222720093967281994149305475259286693353697092105475076724976303942211035197810216298331926565785702523305074478161635197961426508029787050724906701810972046448618579621232395944406317321046817164745212314621768272567807203238128582874174668312259647784969845196716061793028312654060680682878597401500493061960140432126116906404678224102376285612481303623126448098096033502210664516669095405465273961557368601821780418725984218678272239887267798362503872558827209}
19927 224270251047821938396643781719925866438058962345756290606647212762047916: {19927,298785,318704,358542,657129,975737,1393910,1672692,1991300,2389560,2548864,2688255,2867472,3083105,3225906,3699726,4037873,4228689,4315913,4940409,5768390,5947409,6057605,6165590,6424793,6922068,7179929,7269126,7370657,7398708,7778649,7837985,8074934,8202593,9311057,9405582,10064846,10206785,10250769,10529510,10798085,10972073,11496998,11535620,11658657,11717990,11893622,12138737,12248142,12635412,12848294,12957702,13301510,13413657,13684229,13842744,14012033,14061588,14522777,14839937,15476393,15512529,15573087,15674390,15743429,15933929,15961812,16103585,16906817,17595977,17735873,17860433,18315089,18809268,18829109,19324302,19642529,19652308,20017190,20127668,20379657,20542478,20725689,21146873,21199910,21310853,21719537,21964385,22448129,22452609,22601177,22991684,23091257,23157926,23715605,24020628,25009313,25137110,25257593,25439892,25619608,26014469,26357262,26464049,26642726,26651177,26917329,27178757,27259257,27694598,27839729,28458726,28624809,28822059,29087669,29110193,29306289,30164532,30239033,30326889,30454502,30688085,30747017,30994766,31027910,31737878,31864646,32109497,32602049,32671637,32926313,32987510,33257752,33416294,33513929,34123793,34311975,34506977,34983209,35167288,35222837,35417129,35727590,36599440,36626486,36686009,36691253,36825702,37033985,37233492,37414971,37457846,38073110,38794769,39300664,39563199,39585012,39983942,40255433,40559092,41049605,41174370,41585990,41852369,42193685,42688793,42754449,42765185,42873108,43160513,43499057,43749129,43919328,43924310,44024486,44213247,44422612,44440782,45197798,45405329,45687732,45870710,46177838,46196297,46908569,47037590,47811953,48031935,48460385,49224953,49225286,49259526,49409244,49465934,49513382,49591553,49903188,50231657,50466326,50495237,50632422,50657457,50721353,50978849,51234064,51318222,51538388,51842273,51962529,52064513,52289944,52425605,52709172,52720757,52749998,53182913,53828404,53853902,54442793,55044852,55533657,55555563,55673846,55700213,55794255,55866004,55937729,56445108,56821073,57140692,57180875,57196433,57470529,57638322,57768617,57941560,58096337,58152462,58798313,58826187,58917233,58947448,59182085,59300309,59513872,59607878,59613749,59972294,60398177,60489089,60983990,60997382,61197353,61983284,62141510,62262137,62352015,62391137,62910726,63060137,63199049,64055429,64691477,64772885,64823169,64905748,65184255,65185673,65197526,65204693,65652686,65932035,65968340,65994710,66137575,66219593,66247097,66315879,66406449,66443105,66508816,66712166,66777473,66953106,67038249,67493129,67817848,67837553,67841153,68110085,68302790,68367257,68602169,68613969,68617050,69006998,69133012,69529872,69959366,70031175,70327504,70593159,70660313,70665620,70669769,70740278,70827086,70881185,71018502,71037077,71550212,71552993,71759510,72036038,72997257,73180788,73191520,73388273,73521113,74060390,74179217,74519729,74569812,74633417,74699920,74822418,75176728,75357140,75668942,75975590,76295079,76345684,76561862,76610069,76618133,76897720,76972084,77727462,78104103,78221106,78273353,78895768,78947475,78965273,79118442,79162008,79193652,79254929,79365090,79424763,79439297,79648529,79731726,80184929,80759237,81110008,81114422,81275033,81329285,81629560,81709190,81732102,81942249,81963348,82340460,82687637,82846015,83466129,83631233,83916473,83997590,84037410,84039475,84074169,84210640,84265649,84573819,84656096,84712888,84798744,84884153,84991142,85057422,85199513,85453478,85590489,85766837,85844372,86111412,86283110,86497689,86509935,86860564,87101409,87287417,87424790,87761993,87829824,88069457,88086758,88138229,88383413,88606929,88757739,88786022,88850777,88872468,88945910,89057259,89111393,89639904,89807457,90085910,90152692,90428568,90827475,90993977,91170708,91248759,91303257,91833255,91972097,91992148,91995446,92277264,92583295,92797529,92866337,92981075,93122390,93856191,94054433,94307633,94420868,94482250,94575009,94638710,94736970,94754309,95075918,95238108,95301999,95344193,95379782,95396390,95398587,95416085,95740457,95771873,96069713,96882640,96910790,97080568,97244849,97595142,97667510,97955472,98051028,98303534,98316878,98808552,99223313,99242102,99415218,99554455,99936772,99970744,...,14598646236672595871950139774658255293104165769727951633893403524008531247514153502940080690659087252455230305063713899538415644652664060689211709166996666855228312914632268770876080109611039958840427403878509337908994627268506390323526893131671625241536637040685905630377280767602597229175218322562620620853150573728474924664482561727884197702682477547276379324924744241981176824542973713801180239591099539612948571482088593513309984638608095889408168366825098693944514685007460082105808293501234566482323927203656782189914477450814186204882510888611069939566076935248128854885929273832748200580642739451475436853508267717501339425653316806905853421267657592233800795181351560893211831712446729232681010825838700130356696728066061969147995525328939157076308655552477107817671933860314786546647542737951816562446125139207053031438071348215302376281375578425900520817961250638041354011436801224310847280338520261373692224200673094038309635275152611808003920553305030451675879922328557867027150721755979838631696747943701656857399833081443480626799477200226324168273005850859306551697196818882795920842120730078329360288851380362213703092469823736551681689298065632984428534259579892484275424035051045351599893207215653391967496755824909934235402507758218806738649794784570987341216060089783263592046034263103371251426510414446938523478240896912430526055796352020184634728146382037359218433511311411677065738494485432763975341079325097918966863043845633617379395684690973889945466989181537472057366460207698673958391171962714881507558612483310655317601037817614228750403439070213051502414420564423480721775950494928577335560054255396081234760162992370847815906597267977425491489209327914980250697029557418567508732000345682267686915715477165321689787406744871649141997030727727855957926995445248838460660006337727421808132119438449905847834183972387025227401830874271218363454392054859620271892495445293880907820128517273430944311953615578534264728546358128475955602930602614597033302756078087633928388860272770533686279047915061274779792542357128454241883914920484293511025216200352937839513841054794236841940841018463656761355699708957103840883098942599769059619461648144382461117962270727505744927702139022785576240866888072019468331022252576506032756110175839366151409358662728400849824049290894903250519254446512164992876132030391986555704383685798265987954909670648744561730273355545752527946855986870715102985651576837568113748388175137009700316440863404664988388953007361556087053096355535613252542128154477566601780947911041857954031142527865855058716526294644272994341299446213893031916607087255256399891071406014719045493649307245984884241534848920890811893099534524879727694931340301567875614538262963626791956375992199073967012382257804929456140633435633301738589614713597080288397775902087714270031073432637548846930615235344039716067633208935747962728598158106161643194592541756428062422886326949752829024363423742937650838110498899557749679530379959793595621415724037750205414240910504796535333990749280187242834822541872904298803168380816641738164168597464128044669614219355558793873953698615409824802429040558301312291571029653183023731150005163411769612}
19928 225140958621278127042359363163882189710331805954881993161308868450715862: {278866,398380,478056,517738,537813,735967,876172,1211887,1330687,1471786,2090865,2160271,2230256,2344306,2489125,2509038,2514727,2898538,2986327,2986950,3186080,3293938,3584340,3823296,4160287,4241266,4301208,4477738,4511071,4744567,4838859,4932968,5549589,5638252,5893546,6442738,6486607,6587212,6599506,6834538,7753807,7851346,8212447,8555671,8652585,8898247,8943346,9021226,9229424,9248385,9410386,9467767,9692168,9695071,9864944,10371532,10383102,10488367,10601407,10903689,11098062,11952271,12112401,12432106,12540776,12735487,13292767,13626271,13664746,13667692,14108373,14356306,14419525,14586538,14969938,15063967,15097269,15544876,15794265,16330856,16346866,16380271,16707727,16847216,17245497,17261938,17276936,17303430,17469271,17490346,17576985,17794666,17840433,17884876,18022738,18372213,18456992,18630226,18748784,18953118,19089271,19272441,19388146,19436553,19539538,19766506,19952265,20160271,20295538,20683372,20764116,21092382,21200626,21282416,21964447,22417157,22928938,23120767,23330071,23453266,23511585,23827306,23942718,24060367,24565385,25079024,25159585,25170538,25393906,25765736,26063146,26742007,27150247,27172876,27455671,27619666,27634252,28165807,28213902,28469071,28505938,28739605,28986453,29100533,29463466,29478462,29675647,29775727,29936812,30025785,30124786,30191502,30771377,30813717,30971071,31762207,31799865,31959271,32024510,32027504,32027986,32538538,32646727,32684266,33135607,33719887,33914071,33919856,34388081,34487526,34736889,35073127,35143016,35840071,35889772,35946226,36030942,36126487,36162538,36345676,36666706,36977369,37265671,37705665,37944968,38019367,38159838,38166412,38174506,38317738,38429412,38675071,39075052,39327247,39535893,39964089,40068271,40219376,40435852,40911673,40955986,41262607,41541897,41572190,41718727,41900671,42231538,42443626,42625567,42688089,43290538,43696133,43959110,44150671,44328727,44829806,45246798,45397738,45681753,45749300,45753701,46093447,46355671,46492149,46541865,46791271,47606817,47796969,47829367,48046186,48686527,49100936,49125830,49197367,49481265,49621087,49644656,49886628,50124441,50698865,50797927,50946538,51464071,51579017,52074638,52180906,52659538,52750932,52780016,53000938,53109271,53272207,53353567,53591385,53921071,54485047,54701938,54837586,54899160,54939729,55040938,55238553,55244146,55528265,55681687,55850238,56186769,57005932,57109665,57164144,57268306,57640087,57717487,58103407,58195214,58257271,58332172,58542826,58559104,58950996,59077738,59254376,59278066,59340617,59377518,59878186,59975913,60006007,60530671,60543466,60838638,60916976,60941866,61536566,61736938,61761555,61869226,62265706,62378985,62577086,63962047,64033327,64042580,64309662,64317727,64422985,64501546,64697938,65023687,65362430,65679368,65779637,65878992,65886465,66036729,66069127,66537584,66633918,66661173,66757087,67285505,67432306,67505527,67509896,67543276,67755946,67796697,67820626,68424296,68531598,68806065,68917738,69033797,69266757,69283372,69832505,70074346,70153687,70278896,70476607,70556385,70733647,70925671,70971257,71053327,71117047,71289586,71425865,71608426,71799538,71876071,72244906,72426950,72500671,73393136,73684310,73702738,73837929,73889289,73947302,74044876,74074084,74113866,74123777,74198901,74270073,74392340,74459986,74522986,74630071,74837746,74854782,75222271,75260144,75398527,75632527,75690847,75699489,75948633,76030186,76217938,76557007,76627372,76851096,76977333,77307582,77341426,77479105,77536616,78397738,78434916,78896071,79063758,79124997,79166071,79325938,79541047,79594327,80065906,80070607,80127466,80644807,80742606,80780853,81132185,81767071,82116847,82413847,82460425,82515826,82567278,82820266,83136020,83510769,83623447,83799006,83880968,84512647,84638506,84667662,84772310,84945497,85106071,85241287,85241386,85465207,85711038,85863727,85902706,86126167,86299687,86416265,86430892,86442346,86457483,86912340,86940127,87228693,87474401,87482071,87605407,87909380,88092271,88212367,88291186,88332025,88371487,88409938,88421172,88490071,88541932,88587946,88686271,89149807,89270808,89384332,89411817,89437765,89453071,89888938,89958441,90191071,90263287,90360106,90725671,91064938,91244071,91475985,91485292,91489400,91496073,91680247,92232271,92453527,92642386,92706496,92763487,92794087,92974926,93096127,93212265,93244447,93374900,93390967,93449071,93571666,93875671,93970910,94096567,94124212,94196425,94232287,94366089,94691336,94934071,94957906,95432105,95590186,95765671,95810527,95991538,96122150,96201271,96215105,96449266,96548887,96762727,96848938,96931207,97022287,97329676,97358622,97418071,97499071,97530967,97574384,97624927,97655671,97761007,97796289,97877071,98054537,98156626,98234767,98295247,98476687,98479029,98519167,98619710,98630047,98666026,98696071,98758567,98809327,98952510,98959807,98992065,99156197,99189487,99243271,99249967,99259687,99263071,99270271,99426416,99763224,99849586,...,21897969355008893807925209661987382939656248654591927450840105286012796871271230254410121035988630878682845457595570849307623466978996091033817563750495000282842469371948403156314120164416559938260641105817764006863491940902759585485290339697507437862304955561028858445565921151403895843762827483843930931279725860592712386996723842591826296554023716320914568987387116362971765236814460570701770359386649309419422857223132890269964976957912143834112252550237648040916772027511190123158712440251851849723485890805485173284871716176221279307323766332916604909349115402872193282328893910749122300870964109177213155280262401576252009138479975210358780131901486388350701192772027341339817747568670093849021516238758050195535045092099092953721993287993408735614462983328715661726507900790472179819971314106927724843669187708810579547157107022322953564422063367638850781226941875957062031017155201836466270920507780392060538336301009641057464452912728917712005880829957545677513819883492836800540726082633969757947545121915552485286099749622165220940199215800339486252409508776288959827545795228324193881263181095117494040433277070543320554638704735604827522533947098449476642801389369838726413136052576568027399839810823480087951245133737364901353103761637328210107974692176856481011824090134674895388069051394655056877139765621670407785217361345368645789083694528030276952092219573056038827650266967117515598607741728149145963011618987646878450294565768450426069093527036460834918200483772306208086049690311548010937586757944072322261337918724965982976401556726421343125605158605319577253621630846635221082663925742392866003340081383094121852140244488556271723859895901966138237233813991872470376045544336127851263098000518523401530373573215747982534681110117307473712995546091591783936890493167873257690990009506591132712198179157674858771751275958580537841102746311406827545181588082289430407838743167940821361730192775910146416467930423367801397092819537192713933404395903921895549954134117131450892583290409155800529418571872591912169688813535692681362825872380726440266537824300529406759270761582191355262911261527695485142033549563435655761324648413899653589429192472216573691676943406091258617391553208534178364361300332108029202496533378864759049134165263759049227114037994092601274736073936342354875778881669768247489314198045587979833556575528697398981932364505973116842595410033318628791920283980306072654478477365256352170622582262705514550474661295106997482583429511042334130579644533303419878813192231716349902671421866562786931046713791798782588074789441966409491511949169320839547874910630882884599836607109022078568240473960868977326362302273381336217839649301787319591542397010452351813421807394445440187934563988298610950518573386707394184210950153449952607884422070395620432596663853131571405046610148956323270395922853016059574101449813403621944092897237159242464791888812634642093634329490424629243536545135614406476257165748349336624519295569939690393432123586056625308121361365757194803000986123920280864252233812809356448204752571224962607246252896196192067004421329033338190810930547923114737203643560837451968437356544479774535596725007745117654418}
19929 226015022822364007000134137801999980053100320757781782608145520976249666: {39854,418299,497975,597570,637408,717084,776607,1095215,1314258,1951474,2207679,2787820,3345384,3516459,3763557,3982600,4316347,4347807,4480425,4779120,4940907,5097728,5376510,5734944,6166210,6344591,6361899,6451812,6716607,7047815,7180651,7399452,7776599,8075746,8234015,8457378,8480647,8631826,8840319,9664107,9880818,9899259,10251807,10973179,11536780,11777019,11894818,12115210,12331180,12849586,12964415,13415019,13531839,13844136,14115579,14289499,14359858,14538252,14741314,14797416,15117319,15557298,15574653,15675970,16149868,16231339,16405186,16647093,17084615,18622114,18648159,18811164,18831007,19092187,19431095,19912559,20129692,20413570,20497119,20501538,21059020,21534459,21596170,21879807,21944146,22356095,22454907,22545019,22780567,22993996,23071240,23317314,23435980,23787244,23948087,24200807,24277474,24496284,24520299,24991759,25260139,25270824,25696588,25854215,25892907,25915404,25955145,26235519,26529607,26603020,26691999,26827314,27034107,27059639,27368458,27685488,27945339,28024066,28123176,28429677,29045554,29082219,29309307,29649759,29679874,30443307,30750139,30952786,31025058,31146174,31348780,31486858,31638573,31800939,31867858,31923624,32207170,33201847,33813634,33947951,33966095,34393407,34542815,35179899,35191954,35471746,35720866,35737039,35740959,35914077,36282587,36515359,36630178,36689707,37421015,37618536,37658218,37755807,38090859,38233607,38648604,38866091,39094719,39285058,39304616,40034380,40255336,40328119,40759314,41007871,41084956,41429499,41446427,41451378,41856607,42293746,42320853,42399820,42621706,42758907,42963319,43439074,43928770,44195199,44217693,44862215,44896258,44905218,45187179,45202354,45287253,45432095,45983368,46182514,46315852,47431210,47708015,48036765,48041256,48041979,48536731,48807807,48843815,49026399,50018626,50059679,50274220,50515186,50544815,50879784,51007879,51239216,51442007,51731289,51847579,52028938,52714524,52928098,53285452,53302354,53531119,53834658,53919339,54046413,54243807,54357514,54518514,55000059,55389196,55581647,55679458,56688571,56917452,57098539,57186625,57239757,57249618,57261759,57469447,57476607,57644118,57913399,58052399,58175338,58220386,58608199,58612578,58923199,59071159,59541607,59871259,60329064,60478066,60653778,60909004,61376170,61417679,61433979,61494034,61989532,62055820,62193007,62358285,63347307,63475756,63665439,63729292,64218994,64935807,65204098,65343274,65852626,65938665,65975020,66515504,66832588,67027858,67244709,67844539,67870197,68096607,68247586,68623950,69013954,69966418,70334576,70445674,70834258,71257415,71455180,72069279,72302239,72915215,73198880,73252972,73372018,73382506,73395847,73651404,73688745,74067970,74466984,74702507,74829942,74915692,75817499,76146220,76419807,77238491,77589538,78111957,78259519,78271359,78518399,78601328,78973291,78989307,79126398,79170024,79501407,79764607,79967884,80053225,80510866,80926687,81118184,81216059,82052907,82099210,82256379,82348740,82561407,82794119,82854919,82866219,83171980,83413819,83704738,83775357,83893487,84387370,84429095,85141531,85344071,85377586,85508898,85530370,85632031,85746216,85902459,86321026,86604215,86998114,87069407,87292821,87498258,87814239,87838656,87848620,88048972,88426494,88616607,88845224,88881564,88917099,89066277,89301479,89817279,90395596,90682039,90810658,90815199,91257957,91375464,91412799,91741420,92304849,92355676,92392594,92556095,92592605,92605407,92694799,92803839,92990425,93020347,93398559,93817138,93865629,94075180,94764007,95354119,95623906,95784215,96063870,96157391,96464493,96752319,96920770,97046907,98043645,98449906,98450572,98519052,98666447,98818488,98931868,98970359,99026764,99183106,99233659,99806376,99950877,...,32846954032513340711887814492981074409484372981887891176260157929019195306906845381615181553982946318024268186393356273961435200468494136550726345625742500424263704057922604734471180246624839907390961658726646010295237911354139378227935509546261156793457433341543287668348881727105843765644241225765896396919588790889068580495085763887739444831035574481371853481080674544457647855221690856052655539079973964129134285834699335404947465436868215751168378825356472061375158041266785184738068660377777774585228836208227759927307574264331918960985649499374907364023673104308289923493340866123683451306446163765819732920393602364378013707719962815538170197852229582526051789158041012009726621353005140773532274358137075293302567638148639430582989931990113103421694474993073492589761851185708269729956971160391587265503781563215869320735660533484430346633095051458276171840412813935593046525732802754699406380761670588090807504451514461586196679369093376568008821244936318516270729825239255200811089123950954636921317682873328727929149624433247831410298823700509229378614263164433439741318692842486290821894771642676241060649915605814980831958057103407241283800920647674214964202084054758089619704078864852041099759716235220131926867700606047352029655642455992315161962038265284721517736135202012343082103577091982585315709648432505611677826042018052968683625541792045415428138329359584058241475400450676273397911612592223718944517428481470317675441848652675639103640290554691252377300725658459312129074535467322016406380136916108483392006878087448974464602335089632014688407737907979365880432446269952831623995888613589299005010122074641182778210366732834407585789843852949207355850720987808705564068316504191776894647000777785102295560359823621973802021665175961210569493319137387675905335739751809886536485014259886699068297268736512288157626913937870806761654119467110241317772382123434145611758114751911232042595289163865219624701895635051702095639229305789070900106593855882843324931201175697176338874935613733700794127857808887868254533220303539022044238808571089660399806736450794110138906142373287032894366892291543227713050324345153483641986972620849480384143788708324860537515415109136887926087329812801267546541950498162043803744800068297138573701247895638573840671056991138901912104110904513532313668322504652371233971297068381969750334863293046098472898546758959675263893115049977943187880425970459108981717716047884528255933873394058271825711991942660496223875144266563501195869466799955129818219788347574524854007132799844180396570070687698173882112184162949614237267923753981259321812365946324326899754910663533117852360710941303465989543453410072004326759473952680979387313595515678527720132711091668160281901845982447916425777860080061091276316425230174928911826633105593430648894995779697357107569915223434484905593884279524089361152174720105432916139345855738863697187833218951963140451494235636943865304817703421609714385748622524004936778943354909535590148185379084937962182042048635792204501479185880421296378350719214034672307128856837443910869379344294288100506631993550007286216395821884672105805465341256177952656034816719661803395087511617676481627}
19930 226892456499838993066759373288046818853872544094590807358666936525004878: {59781,219109,338521,557732,796760,815449,896355,956112,1035476,1075626,1471934,1752344,1765849,1971387,2423774,2661374,2711641,2927211,2943572,3300421,3484775,3535429,3770149,4181730,4320542,4460512,4589401,4688612,4978250,5018076,5029454,5288809,5797076,5972654,5973900,6372160,6587876,6795301,6910681,7025989,7168680,7601449,7646592,8064765,8320574,8482532,8602416,8955476,8975209,9022142,9089221,9249315,9489134,9677718,9771781,9865936,9885289,10790761,11099178,11276504,11787092,12113619,12364249,12686067,12885476,12947739,12973214,13174424,13199012,13669076,13812709,14420975,14808361,14821227,15413975,15468889,15507614,15702692,16345561,16424894,17111342,17305170,17651929,17796494,17842227,17886692,18042452,18172815,18409189,18458848,18496770,18624901,18820772,18935534,19162921,19270309,19274379,19384336,19390142,19484869,19729888,20020009,20187335,20553349,20743064,20766204,20976734,21202814,21539787,21807378,22111971,22142569,22196124,22247941,22773721,22983529,23335947,23506789,23513955,23904542,24224802,24607779,24864212,25081552,25162115,25470974,26096089,26323775,26403781,26585534,27252542,27329492,27335384,27424741,27933171,28216746,28640389,28712612,28742495,28839050,29173076,29294975,29344729,29645509,29734055,29939876,30127934,30194538,30620355,30752307,30941401,31089752,31588530,32120735,32394255,32421541,32661712,32693732,32760542,32813509,32916219,33253775,33415454,33694432,33788389,34079449,34391539,34490994,34523876,34553872,34606860,34938542,34975971,34980692,35044969,35153970,35223419,35429161,35589332,35680866,35769752,36045476,36289381,36416211,36479749,36744426,36913984,37260452,37497568,37906236,38086249,38178542,38544882,38776292,38873106,39079076,39185975,39533012,39904530,40134361,40235447,40240971,40320542,40591076,40915787,41052687,41053801,41328229,41366744,41419561,41528232,42036099,42184764,42238309,42401252,42564832,42690649,42780901,42961189,43568331,43700527,43928894,44215141,44519811,44748229,44834314,45190489,45724811,45857876,46241534,46429179,46506469,46537587,46660142,46719261,46906532,47023170,47115049,47230287,47654612,47801787,47885436,48120734,48310755,48350159,48492841,49130770,49344601,49429381,49514089,50042975,50158048,50319170,50341076,50720451,50776069,50787812,51356195,51359449,51531472,52126292,52433509,52787931,52999775,53088421,53207619,53484014,53581299,54300494,54303961,54345752,54865669,54911342,54945267,55185061,55239332,55268504,56331614,56427804,56487327,56842969,56938142,57011876,57479210,57894815,57972906,58201066,58545769,58926932,58927587,58956924,59351294,59551454,59762281,59873624,60051570,60063529,60249572,60383004,61138971,61330981,61542754,61627434,61699801,61942142,62066821,62177067,62795461,62842775,62867929,63440619,63524414,63599730,63803461,63918542,63932559,64049020,64055008,64055972,64302169,65077076,65158611,65218981,65289001,65293454,65358949,65368532,65568361,65893155,66271214,66606815,66742789,67016101,67084249,67344387,67357827,67439774,67761769,67803531,67828142,67839712,68776162,68963161,68975052,69029221,69236495,69273771,69473778,69620521,69946501,70146254,70286032,70977541,70978411,71146815,71612581,71680142,71779544,71892452,72061884,72252974,72325076,72551641,72613669,72691352,73333412,73413481,73954738,74381161,74531342,75027939,75035749,75153829,75411330,75506341,75623269,75772779,75889936,76038734,76088101,76136255,76318789,76319676,76332824,76349012,76491049,76635476,76858824,76890469,77173609,77286361,77350142,77486915,77511001,77566981,77569775,77622889,77739571,78043407,78150104,78288169,78343141,78398041,78654494,78834649,79071786,79212901,79344695,79392147,79427461,79534309,79661615,79928178,79953531,80136542,80438752,80751987,80871704,81536271,81777771,81823346,81911972,82310341,82359769,82468775,82525214,82605829,82752601,83083794,83144380,83437454,83519187,83540735,83801342,83809129,83950501,83997481,84277849,84370729,84463076,84601669,84887252,84921961,85251134,85283689,85376178,85874427,85949509,85993321,86254681,86466177,86581076,87107161,87263007,87330579,87392266,87727621,87918220,87918867,87971269,88301342,88569049,88647529,88657454,89150629,89302981,89318975,89454181,89659612,90192179,90192901,90337189,90373081,90493596,90586921,90622309,90717099,90795476,90980667,91144489,91212889,91363506,91498600,91507402,91566215,91583941,92064255,92108101,92186894,92241051,92711342,92890201,92981029,92984298,93011161,93083730,93308521,93367129,93582542,93627301,93644615,93741061,93937369,94130149,94184581,94199707,94292581,94687321,94713061,94738729,95115109,95182775,95213634,95236969,95593938,95658734,95886121,95908261,95996101,96092372,96294469,96328491,96438361,96519001,96996901,97262041,97373054,97462489,97621609,97765507,97806147,97832281,98014911,98028841,98082409,98201872,98251660,98273029,98394734,98447449,98560187,98747689,98774149,98778939,98889061,98911849,98948389,98962530,99016069,99053221,99059161,99082201,99119749,99158341,99188329,99218281,99240709,99242174,99254569,99262021,99270949,99285349,99288229,99289312,99299461,99773256,99959855,99996211,...,43795938710017787615850419323974765879312497309183854901680210572025593742542460508820242071977261757365690915191141698615246933957992182067635127500990000565684938743896806312628240328833119876521282211635528013726983881805519170970580679395014875724609911122057716891131842302807791687525654967687861862559451721185424773993447685183652593108047432641829137974774232725943530473628921141403540718773298618838845714446265780539929953915824287668224505100475296081833544055022380246317424880503703699446971781610970346569743432352442558614647532665833209818698230805744386564657787821498244601741928218354426310560524803152504018276959950420717560263802972776701402385544054682679635495137340187698043032477516100391070090184198185907443986575986817471228925966657431323453015801580944359639942628213855449687338375417621159094314214044645907128844126735277701562453883751914124062034310403672932541841015560784121076672602019282114928905825457835424011761659915091355027639766985673601081452165267939515895090243831104970572199499244330441880398431600678972504819017552577919655091590456648387762526362190234988080866554141086641109277409471209655045067894196898953285602778739677452826272105153136054799679621646960175902490267474729802706207523274656420215949384353712962023648180269349790776138102789310113754279531243340815570434722690737291578167389056060553904184439146112077655300533934235031197215483456298291926023237975293756900589131536900852138187054072921669836400967544612416172099380623096021875173515888144644522675837449931965952803113452842686251210317210639154507243261693270442165327851484785732006680162766188243704280488977112543447719791803932276474467627983744940752091088672255702526196001037046803060747146431495965069362220234614947425991092183183567873780986335746515381980019013182265424396358315349717543502551917161075682205492622813655090363176164578860815677486335881642723460385551820292832935860846735602794185639074385427866808791807843791099908268234262901785166580818311601058837143745183824339377627071385362725651744761452880533075648601058813518541523164382710525822523055390970284067099126871311522649296827799307178858384944433147383353886812182517234783106417068356728722600664216058404993066757729518098268330527518098454228075988185202549472147872684709751557763339536494978628396091175959667113151057394797963864729011946233685190820066637257583840567960612145308956954730512704341245164525411029100949322590213994965166859022084668261159289066606839757626384463432699805342843733125573862093427583597565176149578883932818983023898338641679095749821261765769199673214218044157136480947921737954652724604546762672435679298603574639183084794020904703626843614788890880375869127976597221901037146773414788368421900306899905215768844140791240865193327706263142810093220297912646540791845706032119148202899626807243888185794474318484929583777625269284187268658980849258487073090271228812952514331496698673249038591139879380786864247172113250616242722731514389606001972247840561728504467625618712896409505142449925214492505792392384134008842658066676381621861095846229474407287121674903936874713088959549071193450015490235308836}
19931 227773272551298888971771441951760563091837417775542235303649199659430941: {79708,697165,836598,995950,1195140,1274816,1294345,1434168,1533301,1553214,1613439,2190430,2207901,2628516,3635661,3679465,3902948,3992061,4415358,5575640,5860765,6272595,6345229,6480813,6690768,6782149,7032918,7246345,7467375,7498153,7527114,7544181,7777381,7965200,8234845,8632694,8691493,8695614,8958981,8960850,9558240,9866941,9881814,10195456,10603165,10753020,11194345,11469888,11527621,11582461,12332420,12480861,12689182,12723798,12889789,12903624,13433214,13533213,14095630,14233701,14361302,14516577,14631661,14733865,14798904,15553198,15873733,16106845,16151492,16468030,16498765,16648767,16914756,16961294,17086345,17241829,17263652,17680638,17894761,18150181,18734581,19328214,19459821,19628365,19761636,19798518,20503614,20587561,21469741,21946358,22018909,22255213,22358365,22553065,23073560,23261421,23319901,23525965,23554038,23614729,23789636,23918461,23950501,24230420,24622681,24637341,24662360,25667013,25699172,25928830,25957755,26694741,26765509,26830038,27063678,27203533,27650821,27688272,27745155,28231158,28403301,28578998,28719716,28925821,29076504,29085213,29482628,29594832,30117001,30234638,30574981,31080265,31114596,31149306,31298533,31351940,31465101,31804221,32299736,32462678,32711067,32810372,33294186,33951373,34018921,34130701,34161865,34169230,35098729,35856813,35890765,36195901,36286261,36289189,36337203,36466345,37244228,37296318,37424845,37622328,37662014,38037721,38184374,38206461,38237461,38862190,38908201,39300349,39825118,39878301,40098661,40259384,40569493,40827140,40867165,40878813,40994238,41003076,41880421,42118040,42325119,42879421,43068918,43154845,43192340,43258575,43725865,43759614,43888292,44486665,44712190,44909814,45056845,45090038,45191901,45291807,45561134,45744589,45932653,45987992,46060633,46142480,46575565,46634628,46871960,47382795,47552533,47574488,47704333,47896174,48316741,48359941,48401614,48470365,48554948,48730261,48848845,48982141,48992568,49040598,49140813,49416265,49983518,50123181,50457781,50520278,50541648,50731621,50738845,51137353,51393176,51708430,51736491,51741349,51785814,51830808,51910290,52389421,52407813,52471038,52730955,53001565,53059214,53206040,53383998,53521299,53654628,54068214,54119278,54730021,54736916,55116639,55370976,55890678,55949053,56048132,56246352,56859354,57267813,57322345,57693109,57817323,57997129,58091108,58164438,58309659,58618614,58633165,59299518,59359748,59568265,59588101,59856795,60480813,60886614,61500278,61905572,61974013,62050116,62292348,62565673,62697560,62807101,62926345,62973716,63277146,63484765,63601878,63604933,63735716,63847248,64414340,64882093,65157865,65653381,65687401,65893341,66032233,66115981,66403694,66791221,67082389,67251471,67627268,67714093,67895902,67932190,68355661,68381341,68786814,68969053,69049165,69085630,69362301,69990213,70359798,70383908,70534755,70762741,70943492,71264845,71320861,71441732,71474078,71481918,71828154,72181101,72253849,72565174,72594181,73030718,73260356,73379414,73658665,73696155,73966441,74842030,75133069,75237072,75311965,75316436,75478755,75511614,75972133,76181718,76467214,77243701,77297208,77732182,77956441,78189438,78570116,78609232,78716761,78935461,79664653,80061275,80068760,80069965,80226021,80510672,80656238,81346345,81450741,81466429,81518628,81710665,82015742,82123501,82169912,82367013,82858998,82892854,82902756,82946389,83573149,83713214,83933461,84497421,84587492,84641706,84799640,85243412,85352713,85407213,85517814,85926638,86218815,86489629,86616781,86878148,86959359,87301599,87857540,88284781,88390398,88435386,89026941,89327181,89724430,89792516,89810436,89865565,89880109,90077355,90208093,90374358,90404708,90406345,90574506,90864190,91229869,91281853,91626841,91666765,91966736,92255173,92314131,92365028,92397349,92441151,92631704,92913213,93306253,93763309,94155301,94862420,94911421,95286621,95399595,95416030,95436265,95589541,95791261,95794345,95877813,96073530,96082512,96083958,96167269,97073462,97615614,97687630,97840501,97940181,98052798,99094501,99406821,99458533,99760381,...,65693908065026681423775628985962148818968745963775782352520315858038390613813690763230363107965892636048536372786712547922870400936988273101452691251485000848527408115845209468942360493249679814781923317453292020590475822708278756455871019092522313586914866683086575336697763454211687531288482451531792793839177581778137160990171527775478889662071148962743706962161349088915295710443381712105311078159947928258268571669398670809894930873736431502336757650712944122750316082533570369476137320755555549170457672416455519854615148528663837921971298998749814728047346208616579846986681732247366902612892327531639465840787204728756027415439925631076340395704459165052103578316082024019453242706010281547064548716274150586605135276297278861165979863980226206843388949986146985179523702371416539459913942320783174531007563126431738641471321066968860693266190102916552343680825627871186093051465605509398812761523341176181615008903028923172393358738186753136017642489872637032541459650478510401622178247901909273842635365746657455858299248866495662820597647401018458757228526328866879482637385684972581643789543285352482121299831211629961663916114206814482567601841295348429928404168109516179239408157729704082199519432470440263853735401212094704059311284911984630323924076530569443035472270404024686164207154183965170631419296865011223355652084036105937367251083584090830856276658719168116482950800901352546795823225184447437889034856962940635350883697305351278207280581109382504754601451316918624258149070934644032812760273832216966784013756174897948929204670179264029376815475815958731760864892539905663247991777227178598010020244149282365556420733465668815171579687705898414711701441975617411128136633008383553789294001555570204591120719647243947604043330351922421138986638274775351810671479503619773072970028519773398136594537473024576315253827875741613523308238934220482635544764246868291223516229503822464085190578327730439249403791270103404191278458611578141800213187711765686649862402351394352677749871227467401588255715617775736509066440607078044088477617142179320799613472901588220277812284746574065788733784583086455426100648690306967283973945241698960768287577416649721075030830218273775852174659625602535093083900996324087607489600136594277147402495791277147681342113982277803824208221809027064627336645009304742467942594136763939500669726586092196945797093517919350527786230099955886375760851940918217963435432095769056511867746788116543651423983885320992447750288533127002391738933599910259636439576695149049708014265599688360793140141375396347764224368325899228474535847507962518643624731892648653799509821327066235704721421882606931979086906820144008653518947905361958774627191031357055440265422183336320563803691964895832851555720160122182552632850460349857823653266211186861297789991559394714215139830446868969811187768559048178722304349440210865832278691711477727394375666437903926280902988471273887730609635406843219428771497245048009873557886709819071180296370758169875924364084097271584409002958371760842592756701438428069344614257713674887821738758688588576201013263987100014572432791643769344211610930682512355905312069633439323606790175023235352963254}
19932 228657483923360196765549975326292806134220566480534925073229719106875297: {99635,119562,258947,378347,438218,677042,815531,855227,1115464,1254897,1410131,1493925,1568387,1593520,1630898,1766027,1792710,1912224,2070952,2151252,2239547,2329821,2593931,2751227,2943868,3285645,3418307,3504688,3531698,3535787,3574931,3809627,3942774,4395107,4589867,4847548,4878685,4939931,5322748,5328131,5423282,5854422,5887144,6600842,6623037,6834467,6969550,7070858,7295507,7410587,7540298,7602227,7831931,8363460,8404931,8633627,8641084,8747867,8921024,8976131,9014147,9178802,9377224,9545531,9697067,9772787,9886307,9956500,10036152,10058908,10490531,10549377,10577618,11290671,11580467,11594152,11842547,11945308,11947800,12178931,12402827,12700907,12744320,12949041,12961307,13043421,13147067,13175752,13441275,13480931,13590602,13814147,13821362,14051978,14337360,14404931,14736347,14822721,15202898,15293184,15415525,15507131,16129530,16274387,16383707,16456547,16641148,16783931,16965064,17204832,17472947,17910952,17950418,18044284,18086987,18178442,18498630,18978268,19033773,19085697,19164947,19272347,19308131,19355436,19522667,19543562,19731872,19770578,20057747,20149821,20189365,20591027,21143445,21228587,21541953,21579565,21581522,22198356,22495931,22553008,22706147,23020931,23329797,23574184,24227238,24702045,24728498,25372134,25441941,25770952,25895478,25946428,26098907,26348848,26398024,26440787,26520957,26611427,26815931,27156131,27325931,27338152,27461627,27529427,27625418,27631067,28171931,28262269,28542587,28841950,28979387,28992321,29616722,29642454,29648747,29682131,29697777,29737045,30288025,30381347,30755421,30827950,30937778,30977867,31015228,31143107,31341131,31405384,31538867,31670531,32123965,32359667,32457827,32653931,32691122,32817131,32849788,32919537,33792131,33824507,34083227,34222684,34610340,35080931,35226961,35303858,35331057,35433107,35592988,35684454,35752427,35773384,35899645,35911787,36039131,36084904,36325187,36345630,36818378,36853285,36917696,36958547,36993540,37147931,37249802,37641544,37871068,38090531,38121827,38325842,38540618,38548758,38768672,38780284,38893245,38969738,39056987,39189925,39459776,39799931,40040018,40138907,40239493,40245057,40374670,40595517,40691507,41012965,41058467,41106698,41332931,41486128,41532408,41627677,41788931,41953468,41970827,42346737,42405628,42424307,42695531,42868497,43079574,43614756,44041931,44160827,44220227,44223942,44285138,44309267,44392248,44495882,44930531,44969029,45351957,45547442,45548267,45729409,45967058,46424627,46555285,46671894,46723959,46946987,47013578,47027910,47120531,47236067,47809084,48355021,48441467,48449604,48694017,49095587,49215558,49435187,49728424,49941279,49942427,50138987,50163104,50324230,50363147,50809931,50941948,50949131,51033925,51253845,51476267,51642131,52028027,52192178,52302707,52467131,52647550,52807562,53121947,53171068,53420531,53582987,53933987,53990425,54038413,54337307,54498131,54505084,54658984,54670768,54849482,54860365,54872267,54898931,55058747,55271387,55668707,55827131,55866342,55944477,56379347,56433492,56493021,57141097,57276561,57280778,57425224,57484990,57499067,57654131,57678100,58293285,58346152,58425131,58578467,58589950,58689458,58706027,58960547,59188931,59291018,59468110,59542907,59737677,59879752,60070931,60171107,60255868,60389076,60545627,60693685,61215227,61240710,61491357,61504614,61560131,61882802,62074547,62179504,62899931,63177060,63882947,63954347,64241470,64333931,64593707,64603377,64788510,64843082,65250587,65323424,65387464,65521084,65599907,65627018,65639421,65832438,66085931,66507550,66682787,66774131,66830908,66888131,67024667,67068285,67092827,67364721,67388864,67576778,67635057,67770467,67927547,68039507,68158898,68240531,68341701,68421145,68574131,68783078,68981988,69047752,69107744,69213720,69235931,69367427,69651347,69877084,69951942,69961384,69977267,70060165,70089938,70307940,70344467,70446838,70559387,70858322,70986827,71178664,71199347,71305307,71361732,71495531,71539504,71844261,71898673,71936867,72090952,72208307,72457667,72561227,72578762,72602421,72613885,72643931,72832422,72952931,72959498,73362131,73488852,73560897,73827968,73848947,74199685,74520904,74590427,74689787,74749307,74975277,74995136,75457931,75652931,75780417,75812472,75827747,76156187,76172498,76357084,76405787,76692107,76919867,77089764,77353187,77381965,77552584,77562645,77577587,77678721,77746212,77865435,78158152,78298931,78371950,78463667,78591347,78706557,78717145,78863627,79066024,79116131,79223867,79384931,79563131,79588821,79651931,79669645,79809060,79934747,80075997,80180531,80268722,80470894,80481942,80517925,80598227,80641084,80701931,80977067,81028427,81052741,81102321,81178917,81182152,81216131,81790187,81823667,81831574,82105374,82107602,82371467,82387931,82470131,82633931,82656458,82733488,82813187,82839122,82975307,83056464,83679131,83821187,83836017,84009587,84072198,84165707,84305531,84369528,84382931,84476618,84534085,84629267,84705827,84766931,84802504,84934307,85129664,85160987,85221131,85289031,85296131,85381298,85561802,85608947,85874267,85922378,86454587,87092147,87136662,87175931,87245531,87246657,87401054,87453131,87658931,87857788,87927921,87979885,88118747,88430282,88477307,88595531,88673987,88679365,88949277,89039622,89049131,89176931,89302165,89442707,89480387,89496458,89505467,89668628,89729747,89816267,89914667,90218867,90279107,90380978,90470531,90600947,90753827,90777227,90986387,91124387,91158707,91329921,91396931,91449622,91575445,91631627,91715752,91731131,91775147,91829987,91906427,92250417,92325131,92377931,92472467,92483068,92700827,92858358,93012938,93036107,93075174,93145931,93235067,93249541,93320284,93352907,93438522,93440531,93527507,93671027,93737387,93813064,93924827,94044947,94046340,94099931,94145531,94145545,94230098,94460574,94581827,94728707,94915719,94982267,95260931,95309147,95309224,95402817,95428427,95491307,95603574,95722547,95770872,95813027,95842931,95880131,96241468,96310931,96317867,96352427,96582131,96621510,96700318,96719387,96931093,96958787,96985682,97001627,97056131,97233131,97284827,97352747,97402931,97669931,97690427,97700627,97766147,97869131,97921667,98005547,98051027,98073467,98100131,98104547,98212645,98245787,98261540,98443187,98465531,98469227,98480267,98627267,98656931,98673131,98689202,98732867,98738987,98748107,98766131,98795531,98851931,98858762,98868227,98902547,98933027,99004187,99021947,99028178,99034931,99037067,99078107,99083987,99133667,99187931,99200747,99207587,99208931,99216827,99228131,99238787,99244427,99261131,99269627,99282347,99286931,99290531,99302387,99303467,99305027,99312131,99319307,99605541,...,98540862097540022135663443478943223228453118945663673528780473787057585920720536144845544661948838954072804559180068821884305601405482409652179036877227501272791112173767814203413540739874519722172884976179938030885713734062418134683806528638783470380372300024629863005046645181317531296932723677297689190758766372667205741485257291663218334493106723444115560443242023633372943565665072568157966617239921892387402857504098006214842396310604647253505136476069416184125474123800355554214205981133333323755686508624683279781922722792995756882956948498124722092071019312924869770480022598371050353919338491297459198761180807093134041123159888446614510593556688747578155367474123036029179864059015422320596823074411225879907702914445918291748969795970339310265083424979220477769285553557124809189870913481174761796511344689647607962206981600453291039899285154374828515521238441806779139577198408264098219142285011764272422513354543384758590038107280129704026463734808955548812189475717765602433267371852863910763953048619986183787448873299743494230896471101527688135842789493300319223956078527458872465684314928028723181949746817444942495874171310221723851402761943022644892606252164274268859112236594556123299279148705660395780603101818142056088966927367976945485886114795854164553208405606037029246310731275947755947128945297516835033478126054158906050876625376136246284414988078752174724426201352028820193734837776671156833552285444410953026325545958026917310920871664073757131902176975377936387223606401966049219140410748325450176020634262346923393807005268896044065223213723938097641297338809858494871987665840767897015030366223923548334631100198503222757369531558847622067552162963426116692204949512575330683941002333355306886681079470865921406064995527883631708479957412163027716007219255429659609455042779660097204891806209536864472880741813612420284962358401330723953317146370302436835274344255733696127785867491595658874105686905155106286917687917367212700319781567648529974793603527091529016624806841201102382383573426663604763599660910617066132716425713268981199420209352382330416718427119861098683100676874629683139150973035460450925960917862548441152431366124974581612546245327410663778261989438403802639625851494486131411234400204891415721103743686915721522013170973416705736312332713540596941004967513957113701913891205145909251004589879138295418695640276879025791679345149933829563641277911377326945153148143653584767801620182174815477135975827981488671625432799690503587608400399865389454659365042723574562021398399532541189710212063094521646336552488848842711803771261943777965437097838972980699264731990599353557082132823910397968630360230216012980278421858042938161940786547035583160398133275004480845705537947343749277333580240183273828949275690524786735479899316780291946684987339092071322709745670303454716781652838572268083456524160316298748418037567216591091563499656855889421354482706910831595914453110264829143157245867572014810336830064728606770444556137254813886546126145907376613504437557641263889135052157642104016921386570512331732608138032882864301519895980650021858649187465654016317416396023768533857968104450158985410185262534853029444881}
19933 229545103611845116876981006230268636168269302551588225452955800658102695: {159416,179343,657327,976031,1015563,1394330,1673196,1812083,1991900,2390280,2446347,2549632,2588690,2689065,2868336,3066602,3106428,3226878,3679835,4380860,4415802,5151251,5257032,5297547,5914161,6059435,6653435,6782831,7271322,7358930,7498907,7805896,7984122,8015267,8134923,8205071,8692367,8781633,8830716,9901263,10144883,10454325,10606287,10801355,11151280,11310447,11528783,11721530,12445625,12545190,12573635,12690458,12961626,13326731,13381536,13564298,13688363,13768203,14065836,14492690,14844431,14931635,14934750,14996306,15054228,15088362,15233387,15554762,15672083,15866427,15930400,16469690,17243567,17265388,17291963,17382986,17391228,17741231,17917962,17921700,19116480,19648463,19733882,19763628,20000027,20376707,20385903,20390912,20627411,20732043,20801435,21077967,21206330,21317291,21506040,22388690,22454927,22549583,22555355,22804347,22939776,23009627,23055242,23098271,23164922,23722835,23755787,23920883,24194295,24625163,24664840,24766667,24961722,25243331,25378364,25447596,25779578,25807248,26022347,26768207,26866428,26925627,27066426,27267663,27479711,27519467,27559883,27747945,28191260,28467402,28722604,29033154,29263322,29315343,29467730,29597808,29655867,30578063,31106396,31301711,31574291,31586123,31747466,32213690,32302984,32372283,32433035,32678243,32681531,32936060,32936351,32997530,33297534,33829512,33922588,34172690,34483658,34527304,34692563,35102267,35361276,35427887,35789522,36292847,36300362,36340857,37092747,37469162,37519331,38021147,38058201,38656428,38769035,38843217,38912123,38919642,39256730,39523272,39597036,40102703,40336283,41007228,41062235,41175122,41438127,42512747,42778355,42883763,42939482,43262925,43512371,43892716,44037818,44202803,44425083,44463681,44491235,44510426,44716730,45106130,46147120,46241925,46406667,46445867,46522842,46639802,46733051,47051930,47108076,47229458,47338835,47579272,47826611,47836922,47901002,48321647,48460840,48475355,49036683,49245362,49274682,49324720,49495043,49641107,50247071,50994287,51052883,51334026,51398344,51479531,51857660,51915510,52174331,52394783,52441835,52736771,52955787,53007035,53389482,53526681,53531018,53660076,54061787,54127356,54407066,54518445,54664067,54735563,55227567,55301642,55376544,55490310,55874703,56462316,56700047,56806602,57101603,57157996,57214031,57439432,57488763,57810927,57823137,57851642,58153008,58170426,58454607,58965256,59145587,59189664,59318267,59631923,59761355,60060027,60234002,60416783,60469276,60507407,60562005,60845723,61148867,61149962,61168847,61216211,61660047,61996931,62160530,62229192,62281331,62298612,62410031,62597066,62703880,62930202,63079583,63608442,63677435,64074827,64174307,64599472,64619361,64925356,65205791,65422134,65620744,66335913,66427707,66463835,66588372,66702611,66743823,66880547,67513787,67858511,67902746,67978403,68037842,68131355,68261402,68321163,68323730,68338460,68388383,68623007,68950587,69182771,70007841,70197458,70355963,70520367,70541865,71034383,71306987,71328083,71713626,71781530,72097625,72391802,72572522,72578378,72674406,72838691,72932690,73800731,73823337,74202191,74488456,74592636,74849690,75244656,75319835,75324028,75431123,75486345,75778427,76075442,76368748,76412922,76474922,76641491,77724380,77816402,78288267,78600698,78971325,79211343,79279187,79650236,79756602,80197322,80251283,80518768,80783963,81138986,81474767,81654280,81734330,81757626,81901355,81988476,82006152,82086431,82274223,82556603,82906787,83395571,83538635,83760842,83799513,84236080,84650238,84910031,85158767,85282907,85758131,85758842,85793123,85921167,86137836,86227485,86309690,86384680,86498387,86517150,87127787,87346355,87451730,87519228,87523763,87776584,87884925,88034187,88096883,88793627,88878671,88936527,88973330,89202165,89424380,89819628,90113690,90180076,90309131,90383802,90583614,91122268,91221011,91239107,91489178,91861065,91865306,91975984,92121266,92256921,92284960,92454431,92824203,92826107,93151130,93269256,93287363,93743920,94083407,94765590,95105066,95148976,95382467,95408666,95446355,95599247,95792348,96096443,96278507,96362205,96633482,96668831,96719882,96803228,96807563,96940730,97109896,97182765,97264623,97460522,97697690,97964282,97985136,98081196,98281626,98440527,98748657,98768267,98832530,99741167,99761325,99770783,99967036,...,131387816130053362847551257971924297637937491927551564705040631716076781227627381526460726215931785272097072745573425095845740801873976546202905382502970001697054816231690418937884720986499359629563846634906584041180951645416557512911742038185044627173829733366173150673395526908423375062576964903063585587678355163556274321980343055550957779324142297925487413924322698177830591420886763424210622156319895856516537143338797341619789861747472863004673515301425888245500632165067140738952274641511111098340915344832911039709230297057327675843942597997499629456094692417233159693973363464494733805225784655063278931681574409457512054830879851262152680791408918330104207156632164048038906485412020563094129097432548301173210270552594557722331959727960452413686777899972293970359047404742833078919827884641566349062015126252863477282942642133937721386532380205833104687361651255742372186102931211018797625523046682352363230017806057846344786717476373506272035284979745274065082919300957020803244356495803818547685270731493314911716598497732991325641195294802036917514457052657733758965274771369945163287579086570704964242599662423259923327832228413628965135203682590696859856808336219032358478816315459408164399038864940880527707470802424189408118622569823969260647848153061138886070944540808049372328414308367930341262838593730022446711304168072211874734502167168181661712553317438336232965901601802705093591646450368894875778069713925881270701767394610702556414561162218765009509202902633837248516298141869288065625520547664433933568027512349795897858409340358528058753630951631917463521729785079811326495983554454357196020040488298564731112841466931337630343159375411796829423402883951234822256273266016767107578588003111140409182241439294487895208086660703844842277973276549550703621342959007239546145940057039546796273189074946049152630507655751483227046616477868440965271089528493736582447032459007644928170381156655460878498807582540206808382556917223156283600426375423531373299724804702788705355499742454934803176511431235551473018132881214156088176955234284358641599226945803176440555624569493148131577467569166172910852201297380613934567947890483397921536575154833299442150061660436547551704349319251205070186167801992648175214979200273188554294804991582554295362684227964555607648416443618054129254673290018609484935885188273527879001339453172184393891594187035838701055572460199911772751521703881836435926870864191538113023735493576233087302847967770641984895500577066254004783477867199820519272879153390298099416028531199376721586280282750792695528448736651798456949071695015925037287249463785297307599019642654132471409442843765213863958173813640288017307037895810723917549254382062714110880530844366672641127607383929791665703111440320244365105265700920699715647306532422373722595579983118789428430279660893737939622375537118096357444608698880421731664557383422955454788751332875807852561805976942547775461219270813686438857542994490096019747115773419638142360592741516339751848728168194543168818005916743521685185513402876856138689228515427349775643477517377177152402026527974200029144865583287538688423221861365024711810624139266878647213580350046470705926508}
19934 230436144661967241410546129467760977318554429053363261152191579772359901: {139489,199270,239124,517894,756694,855313,876436,1331089,1354084,1449853,1631062,1710454,2091495,2230928,2489875,2509794,2820262,2987850,3104989,3136774,3187040,3261796,3532054,3575293,3585420,3824448,3883035,4141904,4302504,4479094,4599903,4659642,4840317,5187862,5476075,5502454,5887736,6488593,6571290,6604189,6623703,6830159,6836614,7009376,7063396,7071574,7149862,7619254,7885548,8443933,8790214,8900989,9015073,9179734,9470689,9695096,9757370,9879862,10604689,10645496,10656262,10846564,10906983,11038395,11619133,11708844,11774288,11976183,12739453,13201684,13246074,13668934,13939100,13963489,14141716,14406433,14591014,14821174,15080596,15204454,15663862,16276093,16726920,16809862,16822033,17267254,17282168,17495734,17582295,17842048,17952262,18028294,18357604,18754448,18817785,19035687,19091062,19310173,19394134,19442439,19545574,19772614,19913000,20072304,20117816,20346447,20981062,21098754,21155236,21581735,21739035,22402125,22494459,22581342,22632543,23160934,23188304,23332143,23685094,23890616,23895600,24172189,24357862,24704535,24805654,25401814,25488640,25621693,25898082,25922614,26074479,26086842,26294134,26351504,26852893,26876943,26882550,26961862,27181204,27362833,27628294,27642724,28103956,28265111,28674720,28781089,28809862,29472694,29600823,29645442,29685373,29785489,30211391,30405796,30586368,30831050,31014262,31377553,31722955,31809495,31871293,32259060,32548774,32657533,32767414,32913094,33282296,33567862,33583035,33828253,33930128,34409664,34582863,34747383,34945894,35239075,35821904,35900836,35903255,36043153,36088568,36173974,36356884,36709693,36997260,37183633,37442583,37956536,38067546,38126113,38171394,38329894,38544694,38616262,38669367,38710872,38882995,39045334,39087124,39340573,39463744,39541156,39804433,40115494,40299642,40378730,40599639,40726753,41170075,41182054,41631863,41824033,42286890,42403235,42457174,42640189,42701103,43083906,43091089,43159130,43163044,43549731,43629793,43894983,44201595,44344033,44396712,44432989,44965213,44973551,44991862,45106016,45318589,45412294,46041862,46196989,46659594,46981393,47148368,47501089,47621199,47932189,48320535,48454476,48788989,49214689,49404090,49456996,49496295,49946301,50144893,50259503,50397073,50744268,50883882,51259035,51541904,51594599,51725487,51790956,51892856,52197814,52697696,52796048,52881574,53041914,53222854,53372689,53631862,53684283,54043847,54312262,54450543,54651862,54676304,54865895,54905533,54923254,55058854,55250836,55262134,55304593,55351087,55701853,55860253,56203743,56343862,56524538,56960989,57085174,57146843,57418151,57683900,57738589,57958774,57984642,58379463,58432273,58885095,59233444,59284908,59297494,59364262,59395554,59474090,60576050,60762694,61222813,61510842,61592353,61655900,61762683,61875556,61886689,61955734,62030456,62252989,62286214,62682262,62810768,63052513,63077734,63227131,63341062,63863579,63986173,64057489,64247930,64409223,64412989,64719334,64822075,64915654,65048353,65177399,65307862,65382244,65634262,65699576,65839074,66056727,66094333,66765639,66919453,67075095,67531489,67584262,67649014,67659195,68166454,68445368,68605153,68804413,69220680,69266833,69529489,69784263,69959703,70116253,70161862,70453922,70568593,70577895,70607716,70662114,70761373,70844187,70866214,71144989,71185976,71208673,71368908,71447495,71504854,71546768,71755383,71799290,71823574,71851503,72078262,72169808,72650374,72691260,72777373,73269853,73636756,73696993,73706570,73835392,73868043,73912023,73917094,73987080,74180833,74295862,74499604,74540689,74779153,75283088,75586595,75721489,75742136,75779773,76181062,76243654,76301089,76588189,76651684,76804511,77001039,77081236,77097516,77382493,77537344,77560568,77786490,77873265,77939476,78113974,78379850,78765793,78919552,79413793,79599862,79627489,80080036,80084223,80277814,80296527,80478986,80490114,80626813,80730493,80749340,80988433,81156695,81191034,81383014,81448189,81610599,81902113,82025930,82116934,82201489,82213396,82399633,82665862,82952463,82972256,82987153,83064816,83235465,83255354,83577862,83906936,83941654,84693474,84811256,84848614,84971159,85209903,85233553,85391062,85423075,85502689,85736994,85901533,86159148,86164189,86207713,86381089,86596189,86766973,86777463,87229512,87255639,87685693,88051489,88083862,88252189,88321654,88440454,88447884,88570276,88618534,88784496,88991764,89075473,89569213,89755873,89861062,89938058,90305053,90341089,90351003,90697489,90703914,91094884,91096534,91458818,91556989,91724943,91756573,91888189,91934116,92212189,92339773,92403133,92497633,92715613,92838589,92849254,93110570,93140989,93240795,93343788,93447918,93552253,93695713,93893974,93895599,94027156,94055820,94115293,94155035,94241062,94305553,94395303,94472134,95179489,95325073,95412663,95444413,95460935,95515153,95618168,95789603,95859133,96186913,96334333,96618589,96710042,96882934,96899208,96981793,97018513,97091089,97155475,97388034,97420093,97534753,97598689,97676989,97828189,97886653,97986193,98027773,98084231,98122273,98133201,98174689,98191174,98288413,98431116,98487313,98531089,98594593,98723293,98864989,98870374,98873233,98944189,99022993,99042973,99055933,99207133,99215773,99228193,99247453,99341089,99456848,99562795,99882558,99884854,...,197081724195080044271326886957886446456906237891327347057560947574115171841441072289691089323897677908145609118360137643768611202810964819304358073754455002545582224347535628406827081479749039444345769952359876061771427468124836269367613057277566940760744600049259726010093290362635062593865447354595378381517532745334411482970514583326436668986213446888231120886484047266745887131330145136315933234479843784774805715008196012429684792621209294507010272952138832368250948247600711108428411962266666647511373017249366559563845445585991513765913896996249444184142038625849739540960045196742100707838676982594918397522361614186268082246319776893229021187113377495156310734948246072058359728118030844641193646148822451759815405828891836583497939591940678620530166849958440955538571107114249618379741826962349523593022689379295215924413963200906582079798570308749657031042476883613558279154396816528196438284570023528544845026709086769517180076214560259408052927469617911097624378951435531204866534743705727821527906097239972367574897746599486988461792942203055376271685578986600638447912157054917744931368629856057446363899493634889884991748342620443447702805523886045289785212504328548537718224473189112246598558297411320791561206203636284112177933854735953890971772229591708329106416811212074058492621462551895511894257890595033670066956252108317812101753250752272492568829976157504349448852402704057640387469675553342313667104570888821906052651091916053834621841743328147514263804353950755872774447212803932098438280821496650900352041268524693846787614010537792088130446427447876195282594677619716989743975331681535794030060732447847096669262200397006445514739063117695244135104325926852233384409899025150661367882004666710613773362158941731842812129991055767263416959914824326055432014438510859319218910085559320194409783612419073728945761483627224840569924716802661447906634292740604873670548688511467392255571734983191317748211373810310212573835375834734425400639563135297059949587207054183058033249613682402204764767146853327209527199321821234132265432851426537962398840418704764660833436854239722197366201353749259366278301946070920901851921835725096882304862732249949163225092490654821327556523978876807605279251702988972262822468800409782831442207487373831443044026341946833411472624665427081193882009935027914227403827782410291818502009179758276590837391280553758051583358690299867659127282555822754653890306296287307169535603240364349630954271951655962977343250865599381007175216800799730778909318730085447149124042796799065082379420424126189043292673104977697685423607542523887555930874195677945961398529463981198707114164265647820795937260720460432025960556843716085876323881573094071166320796266550008961691411075894687498554667160480366547657898551381049573470959798633560583893369974678184142645419491340606909433563305677144536166913048320632597496836075134433182183126999313711778842708965413821663191828906220529658286314491735144029620673660129457213540889112274509627773092252291814753227008875115282527778270104315284208033842773141024663465216276065765728603039791961300043717298374931308032634832792047537067715936208900317970820370525069706058889762}
19935 231330620168517943262193014562250518741130338886109816689301954149510652: {298905,318832,358686,776841,1095545,1135041,1314654,1692605,1952062,2031126,2409473,2446593,2565681,2788660,3346392,3624166,3764691,3983800,4077245,4230393,4481775,4705161,4780560,4892694,5099264,5151769,5177380,5298081,5378130,5736672,6133204,6212856,6453756,6718641,6989463,7359670,7781793,8016073,8253681,8483209,8761720,8829245,8831604,9314809,9805277,9856935,10254921,10302502,10514064,10521281,10595094,10607361,10724793,11428881,11828322,12118870,13185321,13306870,13558205,13565662,13769601,14542644,14636055,14717860,14819793,14997814,15121897,15505193,15611792,15749773,15968244,15984393,16030534,16269846,16410142,16502105,17384734,17423875,17563266,17603089,17661432,17677145,18114833,18850745,19802526,19869111,20289766,20378761,20503401,20904289,20908650,21212574,21602710,21886521,22231761,22302560,22620894,22787449,22806681,22947005,23057566,23443060,23495793,24891250,25090380,25147270,25214793,25380916,25900881,25923252,26243601,26444045,26474713,26537641,26653462,26763072,26928393,26940521,27042441,27128596,27189709,27376726,27522241,27536406,28075021,28131672,28521713,28636593,28985380,29091201,29122009,29318361,29658921,29688862,29863270,29869500,29992612,30108456,30176724,30466774,30514061,31109524,31344166,31471593,31577497,31648131,31732854,31860800,32400353,32939380,33211969,33372893,33872013,33976505,34487134,34530776,34553405,34583926,34741401,34765972,34782456,35129945,35482462,35527641,35835924,35843400,36526417,36536793,37208481,37523113,37586153,38007245,38102721,38232960,38774041,38847123,38883921,39130263,39296926,39441201,39467764,39527256,40000054,40323825,40442793,40753414,40771806,40781824,41254822,41442441,41464086,41602870,41869321,42155934,42412660,42634582,42748409,43012080,43114493,43214793,43828769,44209041,44468163,44777380,44876045,44909854,45099166,45110710,45406249,45446105,45608694,45879552,46019254,46110484,46196542,46246575,46329844,46521393,47445670,47511574,47841766,48388590,48823161,48858905,49151121,49183409,49250326,49329680,49369641,49426445,49533334,49923444,50351793,50486662,50756728,50895192,51559156,51614496,52044694,52231057,52418841,53536414,53732856,53851254,53953805,54132852,54260961,54276649,54535326,54959422,55038934,55119766,55495890,56073089,56382520,56879273,56934804,57101319,57107401,57257091,57445208,57487129,57494841,57817041,57924393,57930937,58066308,58526644,58568001,58630686,58935460,58941097,59195616,59311734,59889697,60065777,60173241,60449463,60568095,61156126,61175041,61660573,61773081,61821245,62211841,62212792,62287729,62603422,63148582,63172246,63224593,63430335,63494932,63685761,64053569,64427380,64605968,64625859,64738695,64744566,64861661,64866070,65356486,65363062,65872120,65872702,65995060,66274369,66595068,67304761,67487793,67659024,67727801,67845176,67865497,68118441,68345380,68967316,69054608,69062793,69063545,69385126,69989391,70204534,70722552,70855774,71065789,71579044,72104875,72585694,72600724,72681714,73418569,73724173,74041805,74106135,74185494,74209849,74549977,74725409,74938324,75038662,75994193,76042294,76116402,76325823,77069875,77312856,77344445,77538070,77686434,77824246,77839284,77862049,78296721,78513460,78541481,79046544,79194072,79322361,79562871,79789021,79834281,80205406,80447793,80672566,81468393,81727805,81962813,81977793,82014456,82124470,82326233,82350244,82384881,82588281,82876254,82893201,83665897,84515793,84786807,85025494,85556710,85627761,85658137,85767526,85878964,85898909,86525850,86938161,86976963,87024742,87785432,88075636,88173853,88259645,88405606,88850166,88886689,88927362,88946241,88982470,89020852,89046393,89093331,89148409,89211135,89433460,90212260,90864075,91144041,92045945,92266263,92294240,92463793,92483850,92813334,92891734,92933601,93045684,93049369,93124505,93279604,93363581,93429321,93466102,94023393,94103860,94216152,94458916,94616601,94677670,95011593,95158544,95383897,95595977,95653222,95673844,95802004,95814605,96288361,96351545,96371895,96643294,96921680,96926321,96950710,97079001,97373481,97424345,97961793,98073366,98451393,98490724,98549364,98649440,98696873,98758611,98990086,99282214,99776513,99950609,...,295622586292620066406990330436829669685359356836991020586341421361172757762161608434536633985846516862218413677540206465652916804216447228956537110631682503818373336521303442610240622219623559166518654928539814092657141202187254404051419585916350411141116900073889589015139935543952593890798171031893067572276299118001617224455771874989655003479320170332346681329726070900118830696995217704473899851719765677162208572512294018644527188931813941760515409428208248552376422371401066662642617943399999971267059525874049839345768168378987270648870845494374166276213057938774609311440067795113151061758015473892377596283542421279402123369479665339843531780670066242734466102422369108087539592177046266961790469223233677639723108743337754875246909387911017930795250274937661433307856660671374427569612740443524285389534034068942823886620944801359873119697855463124485546563715325420337418731595224792294657426855035292817267540063630154275770114321840389112079391204426866646436568427153296807299802115558591732291859145859958551362346619899230482692689413304583064407528368479900957671868235582376617397052944784086169545849240452334827487622513930665171554208285829067934677818756492822806577336709783668369897837446116981187341809305454426168266900782103930836457658344387562493659625216818111087738932193827843267841386835892550505100434378162476718152629876128408738853244964236256524173278604056086460581204513330013470500656856333232859078976637874080751932762614992221271395706530926133809161670819205898147657421232244976350528061902787040770181421015806688132195669641171814292923892016429575484615962997522303691045091098671770645003893300595509668272108594676542866202656488890278350076614848537725992051823007000065920660043238412597764218194986583650895125439872236489083148021657766288978828365128338980291614675418628610593418642225440837260854887075203992171859951439110907310505823032767201088383357602474786976622317060715465318860753063752101638100959344702945589924380810581274587049874420523603307147150720279990814290798982731851198398149277139806943598260628057146991250155281359583296049302030623889049417452919106381352777882753587645323457294098374923744837638735982231991334785968315211407918877554483458394233703200614674247163311231060747164566039512920250117208936998140621790823014902541871341105741673615437727753013769637414886256086920830637077375038035449801488690923833734131980835459444430960754303404860546524446431407927483944466014876298399071510762825201199596168363978095128170723686064195198597623569130636189283564939009657466546528135411313785831333896311293516918942097794195971798060671246398471731193905891080690648038940835265574128814485822359641106749481194399825013442537116613842031247832000740720549821486847827071574360206439697950340875840054962017276213968129237010910364150344958515716804250369572480948896245254112701649773274690498970567668264063448120732494787743359330794487429471737602716044431010490194185820311333668411764441659638378437722129840513312672923791667405156472926312050764159711536995197824414098648592904559687941950065575947562396962048952249188071305601573904313350476956230555787604559088334643}
19936 232228543276053463642871734278349564810346685411406838899778681671478401: {278978,338623,398540,457999,478248,538029,934783,1035788,1513388,1647799,1710626,1752872,1971981,2662178,2708168,2899706,2928093,3046689,3262124,3418999,3420908,3485825,3888583,4182990,4461856,4473943,4707583,4979750,5019588,5436249,5640524,5975700,6209978,6273548,6374080,6471725,6523592,6912799,7028143,7064108,7150586,7170840,7339041,7488799,7648896,7666505,7766070,8067195,8283808,8605008,8958188,9092023,9199806,9319284,9319903,9680634,9774799,9888343,10375724,10794103,10906999,10952150,11004908,11039505,11775472,11919823,12479983,12977186,13038343,13142580,13208378,13247406,13660318,13673228,14018752,14126792,14143148,14299724,14812999,15238508,15253783,15453753,15771096,15892641,16350703,16459999,16887866,17580428,17742483,17801978,18030146,18178305,18359468,18397325,18522943,18941378,19276423,19390192,19514740,19759724,19960305,20348493,20666383,21209378,21290992,21312524,21693128,21813966,21832999,22076790,22255063,22360399,22496721,22781023,22885999,23238266,23417688,23548576,23952366,24045801,24404769,24555823,24615213,25478906,26077101,26344899,26403368,26492148,26514799,27337868,27535399,27878200,27926978,28042999,28283432,28812866,29052799,29182028,29303825,29454703,29642348,29703789,30161192,30214429,30408908,30434649,30454423,31327724,31362975,31726145,31818861,32404065,32432263,32552186,33410383,33453840,33619724,33644066,33896743,33910745,33931341,34090783,34534508,34564336,34586349,34991468,35056663,35164590,35536903,35684096,35824183,35904524,36056588,36231725,36301543,36715208,37336875,37439863,37490765,37508896,37635570,37720905,37911103,38071374,38182124,38286799,38620346,38788268,38884878,38886905,39091148,39127903,39545228,39826000,39980193,40055623,40144608,40235632,40692894,40700743,41065089,41159383,41174225,41304609,41433703,41962124,42197508,42310472,42343423,42795583,42975943,43163470,43457465,43478070,44230399,44319463,44412137,44533293,44794905,44804250,44988918,45162684,45206143,45265086,45700161,46321868,46376608,46664286,46957903,47016249,47304799,47370188,47599281,47650543,47781232,47791200,48252823,48344378,48509863,48595399,48715724,49334705,49409070,49446799,49531543,49611308,50206903,50264557,50794063,50803628,50977280,51243386,51730701,51796164,51845228,51875889,52148958,52173684,52588268,52703008,53015825,53223693,53705786,53753886,53765100,53923724,54362408,54436193,54725666,55256588,55284703,55285448,55356653,55971725,56077783,56207912,56314303,56530222,56863663,57349440,57562178,57619724,57638105,57912305,58945388,58945389,59025823,59201646,59290884,59364529,59370746,59570978,60000081,60311023,60422782,60811592,61130121,61157709,61172736,61279783,61662100,61722799,61882233,62028524,62089999,62196129,62404305,62755106,62891503,63233489,63233901,63445910,63618990,63742586,63870001,63898999,63951873,64326463,64448945,64518120,65097548,65243743,65313799,65315066,65383783,65414921,65534828,65826188,66564592,66699799,67109983,67135724,67166070,67364781,67648749,67656506,67666065,67860256,68413041,68458543,68819328,69028881,69055999,69165726,69294813,69385399,69494766,69712999,69891788,70478150,70665617,70941463,71069263,71168505,71267361,71323999,71640799,71643808,71762649,71801672,71806510,72086306,72177136,72347948,72518263,72582885,72642463,72713768,73158305,73419386,73669325,73868623,73875489,73994520,74300001,74351023,74367266,74722973,74885166,75065983,75729993,75913072,76135092,76176799,76252226,76342788,76522183,76659788,76812253,76978663,77089388,77232524,77338734,77374303,77421744,77542783,77598799,77654743,77765990,78067041,78090668,78174248,78375463,78430399,78485263,78649423,78681146,78927488,79082312,79368665,79608866,80230988,80304621,80534225,80599284,80757460,80776881,81085399,81199278,81453506,81802989,81846799,82340150,82364108,82394863,82439133,82493825,82558401,82641103,82679649,82836799,83031343,83128183,83243835,83263726,83648066,83845303,84033799,84573780,84806470,84914348,84958999,85280378,85402206,85431725,85589503,85811263,86031223,86074999,86167812,86182178,86209145,86318260,86326088,86336143,86977663,87099462,87145999,87259586,87789966,87807823,87946029,88010863,88403190,88688066,88793424,88805023,88865978,88967601,89473805,89495143,89532799,89930426,89942263,89947102,89983724,90212032,90414943,90450799,90628999,90637178,90664423,90750905,90805399,90824588,91289743,91660399,91734189,91957183,92083724,92151799,92393978,92934799,93055903,93265063,93319188,93382999,93557743,93672905,93701383,93786703,93905133,93962786,94093999,94296736,94630399,94722873,94734223,94758369,94759999,94785703,95002178,95242398,95284663,95523343,95639983,95754823,95864378,95956999,96044983,96302023,96364663,96641070,96861463,96908952,97047583,97116849,97243999,97299105,97313263,97330399,97577978,97657999,97735399,98034729,98040823,98044593,98108863,98141825,98148823,98289799,98350999,98422063,98429378,98670463,98775799,98808180,98809053,98811943,98913992,98944999,98992590,99011743,99079063,99115999,99121903,99241999,99276343,99283183,99310399,99320623,99333799,99342799,99348703,99359503,99892602,...,394163448390160088542653773915772892913812475782654694115121895148230343682882144579382178647795355816291218236720275287537222405621929638608716147508910005091164448695071256813654162959498078888691539904719752123542854936249672538735226114555133881521489200098519452020186580725270125187730894709190756763035065490668822965941029166652873337972426893776462241772968094533491774262660290272631866468959687569549611430016392024859369585242418589014020545904277664736501896495201422216856823924533333295022746034498733119127690891171983027531827793992498888368284077251699479081920090393484201415677353965189836795044723228372536164492639553786458042374226754990312621469896492144116719456236061689282387292297644903519630811657783673166995879183881357241060333699916881911077142214228499236759483653924699047186045378758590431848827926401813164159597140617499314062084953767227116558308793633056392876569140047057089690053418173539034360152429120518816105854939235822195248757902871062409733069487411455643055812194479944735149795493198973976923585884406110752543371157973201276895824314109835489862737259712114892727798987269779769983496685240886895405611047772090579570425008657097075436448946378224493197116594822641583122412407272568224355867709471907781943544459183416658212833622424148116985242925103791023788515781190067340133912504216635624203506501504544985137659952315008698897704805408115280774939351106684627334209141777643812105302183832107669243683486656295028527608707901511745548894425607864196876561642993301800704082537049387693575228021075584176260892854895752390565189355239433979487950663363071588060121464895694193338524400794012891029478126235390488270208651853704466768819798050301322735764009333421227546724317883463685624259982111534526833919829648652110864028877021718638437820171118640388819567224838147457891522967254449681139849433605322895813268585481209747341097377022934784511143469966382635496422747620620425147670751669468850801279126270594119899174414108366116066499227364804409529534293706654419054398643642468264530865702853075924797680837409529321666873708479444394732402707498518732556603892141841803703843671450193764609725464499898326450184981309642655113047957753615210558503405977944525644937600819565662884414974747662886088052683893666822945249330854162387764019870055828454807655564820583637004018359516553181674782561107516103166717380599735318254565111645509307780612592574614339071206480728699261908543903311925954686501731198762014350433601599461557818637460170894298248085593598130164758840848252378086585346209955395370847215085047775111861748391355891922797058927962397414228328531295641591874521440920864051921113687432171752647763146188142332641592533100017923382822151789374997109334320960733095315797102762099146941919597267121167786739949356368285290838982681213818867126611354289072333826096641265194993672150268866364366253998627423557685417930827643326383657812441059316572628983470288059241347320258914427081778224549019255546184504583629506454017750230565055556540208630568416067685546282049326930432552131531457206079583922600087434596749862616065269665584095074135431872417800635941640741050139412117779524}
19937 233129927179082700608185457861489824162616343199569436582817601237097585: {19937,418467,498175,597810,637664,717372,1294735,1533763,1553682,1891735,2191090,2270082,2369647,2565939,2629308,2847559,3385210,3904124,3993267,4062252,4077655,4276135,4349559,4818946,4893186,5131362,5577320,5708143,6274485,6692784,7050655,7248332,7469625,7529382,7841935,7967600,8094823,8154490,8460786,8830135,8963550,9314967,9410322,9561120,9785388,9806263,10198528,10303538,10354760,10481503,10522339,10596162,10725879,10756260,10958839,11197735,11473344,11649105,12266408,12360943,12425712,12893683,12907512,12969655,13437282,13756135,13799709,13978926,14520951,14719340,15563586,15941959,16032146,16428225,16507362,16966418,17091535,17523440,17658490,17663208,17678935,17874655,17900167,18116659,18324319,18629618,18981487,19048135,19465779,19610554,19713870,19812567,19871109,19920583,20490477,20509842,20605004,21028128,21042562,21190188,21214722,21408439,21449586,21476227,21975535,22612567,22857762,22949335,23102947,23326963,23621863,23656644,24210559,24237740,24393425,24627559,24699655,24748003,25331799,26370642,26391043,26613740,26640655,26646463,26702967,27045219,27070543,27116410,27131324,27539202,27853759,28412067,29085288,29272110,29435720,29639586,29995628,30243794,31010386,31223584,31499546,31814067,31936488,31968786,32061068,32125807,32403619,32414503,32539692,32618479,32720949,32820284,33004210,33115185,33313039,33707479,34029223,34172335,34524367,34769468,34847750,34857399,35000839,35126532,35206178,35322864,35354290,35435059,35928549,36039847,36229666,36297283,36477535,37021663,37052935,37589959,37701490,38011135,38218359,38551063,39159655,39605052,39738222,40579532,40757522,41006802,41808578,41817300,41890467,42024655,42425148,42733087,43118839,43168135,43182403,43205420,43219299,43312903,43739335,43773042,43833187,44419999,44463522,44605120,44880655,45070735,45217639,45241788,45574898,45613362,45894010,46025599,46115132,46886120,46991586,47567107,47727655,48374767,48485335,48828279,48863935,49181923,49188403,49431535,49616743,49782500,50180760,50294540,50429586,50466099,50520847,50761832,51152839,51462799,51757123,51801762,51846504,52452655,52487202,52746885,52747447,52888090,52949426,53075282,53210143,53306924,53526144,53856786,53881042,54084882,54257192,54379418,54753452,55044482,55072812,56078767,56150042,56263344,56453355,57043426,57107061,57273186,57902335,57930519,57970760,58125847,58182402,58244018,58327317,58636722,59212735,59317842,59377724,59726540,59739000,59985224,60216912,60353448,60736903,60894655,60933548,61028122,61039341,61442503,62014135,62219048,62317327,62669923,62688332,62826463,62943186,63154994,63296262,63465708,63504535,63624547,63721600,64724287,64745205,64800706,64806535,65217105,65735335,65878760,66136003,66423938,66745786,67132339,67206375,67220959,67404655,67423639,67483377,67744026,67897629,67953010,68376583,68402467,68636899,68974268,68989939,69061552,69070735,69106810,69167852,69197023,69334879,69482802,69531944,69564912,69996429,70259890,70696183,70964924,71055282,71589283,71671848,71686800,72024655,72516567,73052834,73073586,73681735,74046499,74113605,74416962,74556319,74671327,75046226,75132823,75156103,75172306,75535327,76014490,76205442,76465920,76865079,77077625,77535655,77548082,77694246,77767842,77980207,78223437,78260526,78360487,78593852,78882402,78935528,78959683,79054512,79963903,80000108,80225959,80558679,80630829,80647650,80885586,81371935,81506828,81543612,81563648,81918535,82088499,82282735,82334659,82509644,82827583,82884882,82928172,83205740,83585839,83738642,83919655,84311868,84795333,84825320,85269164,85378639,85496818,85960999,86024160,86228986,86343267,86429586,86549743,87104599,87364735,87657538,88311847,88418082,88802469,88936326,89056119,89337727,89356467,89554760,89752090,89811319,89819708,89907763,89926303,90198332,90221420,90236287,90434935,90634173,90812498,90892210,91217388,91759104,92038508,92220968,92393084,92493150,92659688,93042786,94132659,94891340,94940659,95023148,95168865,95428485,95613879,95683532,95824735,96004663,96196903,96361735,96540655,96688963,96777180,97294639,97613335,97646322,97717810,97870663,97972599,98302242,98366818,98500652,98659360,98739282,98852890,99066668,99125059,99846888,...,591245172585240132813980660873659339370718713673982041172682842722345515524323216869073267971693033724436827355080412931305833608432894457913074221263365007636746673042606885220481244439247118333037309857079628185314282404374508808102839171832700822282233800147779178030279871087905187781596342063786135144552598236003234448911543749979310006958640340664693362659452141800237661393990435408947799703439531354324417145024588037289054377863627883521030818856416497104752844742802133325285235886799999942534119051748099678691536336757974541297741690988748332552426115877549218622880135590226302123516030947784755192567084842558804246738959330679687063561340132485468932204844738216175079184354092533923580938446467355279446217486675509750493818775822035861590500549875322866615713321342748855139225480887048570779068068137885647773241889602719746239395710926248971093127430650840674837463190449584589314853710070585634535080127260308551540228643680778224158782408853733292873136854306593614599604231117183464583718291719917102724693239798460965385378826609166128815056736959801915343736471164753234794105889568172339091698480904669654975245027861330343108416571658135869355637512985645613154673419567336739795674892233962374683618610908852336533801564207861672915316688775124987319250433636222175477864387655686535682773671785101010200868756324953436305259752256817477706489928472513048346557208112172921162409026660026941001313712666465718157953275748161503865525229984442542791413061852267618323341638411796295314842464489952701056123805574081540362842031613376264391339282343628585847784032859150969231925995044607382090182197343541290007786601191019336544217189353085732405312977780556700153229697075451984103646014000131841320086476825195528436389973167301790250879744472978166296043315532577957656730256677960583229350837257221186837284450881674521709774150407984343719902878221814621011646065534402176766715204949573953244634121430930637721506127504203276201918689405891179848761621162549174099748841047206614294301440559981628581597965463702396796298554279613887196521256114293982500310562719166592098604061247778098834905838212762705555765507175290646914588196749847489675277471964463982669571936630422815837755108966916788467406401229348494326622462121494329132079025840500234417873996281243581646029805083742682211483347230875455506027539274829772512173841661274154750076070899602977381847667468263961670918888861921508606809721093048892862815854967888932029752596798143021525650402399192336727956190256341447372128390397195247138261272378567129878019314933093056270822627571662667792622587033837884195588391943596121342492796943462387811782161381296077881670531148257628971644719282213498962388799650026885074233227684062495664001481441099642973695654143148720412879395900681751680109924034552427936258474021820728300689917031433608500739144961897792490508225403299546549380997941135336528126896241464989575486718661588974858943475205432088862020980388371640622667336823528883319276756875444259681026625345847583334810312945852624101528319423073990395648828197297185809119375883900131151895124793924097904498376142611203147808626700953912461111575209118176669286}
19938 234034785122255701202203225253450730135033265769156778623372744097278182: {219197,378461,557956,677246,797080,896715,915998,934877,956496,1076058,1410557,1869566,1924577,2071576,2330523,2712737,3026776,3286635,3295598,3405123,3421252,3505744,3536861,3928061,3943962,4162397,4513361,4708061,4746977,4880155,4941437,5058017,5077815,5324356,5416336,5446097,5799412,5856186,6093378,6524248,6837998,6841816,6971650,7182557,7228419,7339779,7412861,7697043,7757777,7777166,8365980,8407517,8750561,8923712,8947886,8978897,9060415,9092957,9415166,9548477,9889361,9959500,10039176,10116257,10606877,10733107,10795217,10872498,11281048,11294073,11951400,11958461,12231735,12419956,12547096,12691179,12748160,12943450,13047184,13445325,13485137,13818461,13825598,13966397,14056286,14115483,14128216,14301172,14341680,14520017,14678082,14977598,15255377,15297792,15333010,15455307,15532140,15894243,16134390,16352417,16388861,16567616,16898237,17210016,17261117,17659361,17803937,17916376,18184046,18399175,18399612,18638568,18639806,18776477,19278461,19314257,19361268,19549598,19636061,19776686,20155923,20170961,20751448,20968389,21588206,21623837,21813998,21904300,22009816,22079010,22152017,23133137,23345379,23516861,23550944,23830097,23839646,24048219,24246737,24593057,24761043,24959966,25449627,25756255,25936061,25954372,26076686,26285160,26416756,26487735,26494812,27320636,27334817,27346456,27436637,27640061,27843197,27944427,28037504,28253584,28286296,28599448,28652861,28787357,28854557,29290577,29415831,29491361,29570805,29625998,29791997,29958737,30297175,30477016,30490961,30507566,30764763,30907506,31153361,31351457,31542192,31563843,31779677,31785282,31822083,32174379,32468561,32701406,32827997,32919998,33267175,33641297,33775732,33900497,33914155,33932861,34094561,34286643,35060561,35092637,35160856,35484966,35540861,35603956,35860061,36060292,36146657,36305597,36337361,36356610,36718936,36794650,37045886,37255037,37444061,37494535,37632797,37882756,37946717,38552846,38780384,39029480,39519448,39555963,39920610,40076335,40090961,40275617,40674615,40696986,40735997,41025355,41164061,41194577,41308803,41332766,41438417,42076061,42418756,42581984,42625048,42710177,42800477,43100957,43386256,43461835,43627932,43665998,43908165,43908257,44153580,44324561,44354237,44416603,44459379,44510126,44720798,44768861,44993442,45329057,45365691,45387857,45562046,45769277,45771998,46476532,46515579,46528061,46644317,46835376,46963361,46992317,47097152,47249319,47252561,47475043,47904732,47953179,48000737,48091602,48809538,48857297,49111646,49230426,49367777,49506315,49537361,49650257,49791197,50212817,50724415,50827937,50957812,50967197,51328337,51494561,51743357,52154202,52271625,52321361,52487071,52689798,52806736,52809267,52984296,53029598,53031435,53439677,53683361,54006775,54344499,54441667,54675736,54998717,55070798,55158461,55317917,55756400,55847357,55853956,56085998,56110877,56552235,56566864,56974817,57026897,57416477,57625732,57643915,57675197,57752657,57881597,58105598,58267217,58364056,58607650,58909406,59284696,59286737,59407578,59607333,59716157,60193361,60322384,60428858,60817816,60840451,60869298,60908846,61136283,61287377,61510203,61902077,61951037,62228125,62268497,62317217,62655448,62712867,62725950,62868175,62923517,63116477,63356957,63452290,63637722,63763937,63978461,64334561,64358237,64429217,64688861,64808130,64864526,65104372,65275361,65421499,65659563,65833697,66111137,66226397,66633655,66695283,66776861,66820766,66907680,66913757,67118561,67209377,67239448,67288132,67661537,67793486,67821490,67862682,67886417,68181566,68333777,68362347,68420043,68441815,68822177,68841015,69068587,69069016,69128672,69172698,69982877,69982936,70113326,70134497,70329180,70487379,70672723,70972061,71073806,71078561,71099837,71368192,71396861,71648366,71809048,71839457,72113176,72153437,72463450,72548561,72603086,72652061,72672737,72837857,72981917,73289297,73430416,73452497,74222155,74380961,74560637,74658175,74673750,74680061,74730487,74779361,74879726,74981530,75017792,75194237,75271140,75272861,75441810,75547037,75644379,75741917,75822206,76142748,76166935,76321757,76360157,76364248,76436861,76573598,76608977,77240692,77308543,77403617,77576536,77665361,77702643,77769756,77773810,78018077,78182296,78255806,78331217,78360415,78386237,78678461,78730803,78950561,78979219,79090456,79202897,79332135,79417937,79424139,79471517,79578461,79612923,79649597,79652000,79685117,79960386,80020961,80111246,80214077,80289216,80471264,80693347,80785179,80787617,80821563,81062561,81077227,81127323,81301457,81385788,81401486,81504977,81569127,81824861,82130178,82318766,82348450,82423037,82472417,82554557,82566723,82609218,82669217,82867406,83043197,83140061,83513911,83683517,83920337,83924248,84225063,84248861,84395016,84620944,84650717,84686846,85303457,85393361,85527677,85565139,85591166,85602017,85690961,85909779,85951886,85999997,86217835,86326940,86363297,86459815,86914930,86956140,87004637,87130961,87214817,87273603,87366027,87492257,87834557,87955083,88024061,88077917,88460798,88556861,88622561,88638926,88706155,88753361,88818461,88824274,88976763,89066586,89089697,89204861,89281277,89521361,89589810,89608500,89977836,90228523,90320861,90325368,90392957,90412286,90530172,90548177,90678461,90725597,90796061,91201361,91315361,91400322,91542183,92241377,92516561,92620961,92643736,92753216,92837597,93040637,93080861,93190817,93220637,93328572,93368657,93427361,93466337,93514877,93572861,93582497,93726077,93915806,93998561,94032498,94090961,94173437,94228061,94354397,94414779,94416977,94609598,94628561,94732491,94740376,94801361,94852577,94944393,94962557,95104337,95198562,95211197,95301086,95308637,95547197,95562464,95582400,95928797,95951057,96112097,96318461,96325457,96381137,96505646,96651857,96688756,96878237,96884561,96978461,97019726,97064477,97124957,97190798,97201059,97225937,97301597,97336061,97431448,97531361,97579997,97711697,97722017,97768061,97872977,97921697,97964861,98030717,98058461,98063057,98166557,98242315,98344637,98440061,98443937,98497361,98534561,98610077,98669410,98721617,98788061,98803361,98818140,98830397,98893598,98907617,98947997,98981537,98986577,98996561,99023357,99063086,99097937,99100061,99122897,99140861,99171197,99196061,99202877,99222616,99245537,99278561,99296861,99340961,99347837,99364061,99368861,99371357,99376337,99379361,99379517,99635907,...,886867758877860199220970991310489009056078070510973061759024264083518273286484825303609901957539550586655241032620619396958750412649341686869611331895047511455120009563910327830721866658870677499555964785619442277971423606561763212154258757749051233423350700221668767045419806631857781672394513095679202716828897354004851673367315624968965010437960510997040043989178212700356492090985653113421699555159297031486625717536882055933581566795441825281546228284624745657129267114203199987927853830199999913801178577622149518037304505136961811946612536483122498828639173816323827934320203385339453185274046421677132788850627263838206370108438996019530595342010198728203398307267107324262618776531138800885371407669701032919169326230013264625740728163733053792385750824812984299923569982014123282708838221330572856168602102206828471659862834404079619359093566389373456639691145976261012256194785674376883972280565105878451802620190890462827310342965521167336238173613280599939309705281459890421899406346675775196875577437579875654087039859697691448078068239913749193222585105439702873015604706747129852191158834352258508637547721357004482462867541791995514662624857487203804033456269478468419732010129351005109693512338350943562025427916363278504800702346311792509372975033162687480978875650454333263216796581483529803524160507677651515301303134487430154457889628385226216559734892708769572519835812168259381743613539990040411501970568999698577236929913622242255798287844976663814187119592778401427485012457617694442972263696734929051584185708361122310544263047420064396587008923515442878771676049288726453847888992566911073135273296015311935011679901786529004816325784029628598607969466670835050229844545613177976155469021000197761980129715237793292654584959750952685376319616709467249444064973298866936485095385016940874844026255885831780255926676322511782564661225611976515579854317332721931517469098301603265150072807424360929866951182146395956582259191256304914302878034108836769773142431743823761149623261570809921441452160839972442872396948195553595194447831419420830794781884171440973750465844078749888147906091871667148252358757319144058333648260762935970371882295124771234512916207946695974004357904945634223756632663450375182701109601844022741489933693182241493698118538760750351626810994421865372469044707625614023317225020846313183259041308912244658768260762491911232125114106349404466072771501202395942506378333292882262910214581639573339294223782451833398044628895197214532288475603598788505091934285384512171058192585595792870707391908567850694817028972399639584406233941357494001688933880550756826293382587915394182013739195415193581717673242071944116822505796722386443457467078923320248443583199475040327611349841526093743496002222161649464460543481214723080619319093851022627520164886051828641904387711032731092451034875547150412751108717442846688735762338104949319824071496911703004792190344362197484363230077992383462288415212808148133293031470582557460934001005235293324978915135313166389521539938018771375002215469418778936152292479134610985593473242295945778713679063825850196727842687190886146856747564213916804721712940051430868691667362813677265003929}
19939 234943130400552859833116895793484976655842184891020397522383800604455189: {39874,697445,836934,996350,1015869,1195620,1275328,1373997,1434744,1614087,1812629,2589470,2648429,2804349,3067526,3107364,3365297,3783470,4276565,4382180,4540164,4739294,4943397,5131878,5258616,5695118,5708717,5915943,5986589,6655445,6770420,7249265,7808248,7986534,8095637,8124504,8155310,8552270,8699118,8784279,9140067,9566609,9637892,9786372,9870917,10256997,10262724,10457475,10482557,10959941,10978709,11154640,11416286,11665749,11714621,12362189,12449375,12548970,13330757,13385568,13421829,14101310,14122749,14496664,14637557,14939250,15058764,15237989,15524945,15676829,15683870,15935200,16189646,16308747,16308980,16921572,17660270,17876465,17927100,18157517,18629934,18820644,18840497,19122240,19258589,19415175,19570776,19612526,20006069,20397056,20595857,20607076,20709520,20738397,20963006,21044678,21084429,21192324,21410597,21451758,21512520,21917678,22017123,22264181,22395470,22466397,22946688,22999515,23298210,23762981,23928149,24201585,24532816,24721886,24750509,24774149,24851424,25024517,25250957,25272869,25787366,25815024,25939310,26649149,26667389,26874564,27276069,27380375,27512270,27568229,27599418,27661997,27957852,27959709,28937477,29041902,29105297,29324397,29438680,29665029,29781341,30129137,30765749,31127172,31883918,32064292,32129069,32382309,32442965,32720997,32849597,32856450,33014724,33020945,33118515,33316397,33932836,34150795,34183070,34579517,34703069,35046880,35316980,35326416,35357870,35749310,35759469,35800334,36233318,36648638,36708197,36713489,37259236,37296917,37439949,37962974,38032661,38096270,38308049,38554949,38931558,39115029,39221108,39427740,39625134,39742218,39841166,40279829,40980954,41019684,41209757,41210008,41877797,42056256,42085124,42219665,42380376,42429444,42816878,42896789,42899172,42952454,43317269,43951070,44216189,44424497,44438997,44504945,44781137,45075365,45222197,45225134,45715524,45761349,45763157,45898670,46205894,46361259,46653926,46936997,47243726,47313288,47353445,47677923,47760509,47841269,48421118,48475480,48786850,49052109,49255118,49379997,49399310,49496006,49621781,50663598,51033749,51068549,51874109,52190237,52741284,52782086,53023445,53215589,53227449,53227480,53281310,53292926,53405934,54090438,54141086,54232820,54262648,54534915,54680621,54752189,54823517,55078404,55191975,55568829,55707518,55733969,56824134,57829269,58095665,58131749,58170576,58544220,58637969,58834517,58871440,58953029,59279172,59880915,59991256,60435389,60487588,60864149,61045479,61167509,61235069,61999149,62020772,62447168,62590961,62676269,62832917,62999092,63099029,63227069,63628134,63697265,63872976,63937572,64122136,64193741,64251614,64807238,64829006,65079384,65236958,65244209,65441898,65498997,65640568,65679917,66008420,66230370,66626078,66765189,66818717,67081197,67414958,67490163,67879469,67882421,67998989,68058446,68343069,68344670,68409509,68657997,69048734,69204149,69538936,69695500,69714798,69817445,70001678,70253064,70377269,70412356,70645728,70708580,70712597,70870118,71328581,71349749,71352677,71857098,72032165,72079694,72137403,72338909,72459332,72594566,72955070,73214307,73433717,73565669,73667469,73845639,73996337,74043326,74053997,74105870,74678909,75179918,75402980,76022270,76436718,76656497,77102126,78231303,78319310,78320789,78748577,79013381,79034697,79210104,79476444,79544397,79825169,80314397,80633057,80808689,81063269,81159064,81380465,81515044,82013604,82606197,82897829,83456189,83617156,83634600,83780934,84049310,84110165,84128997,84850296,85252517,85291877,85466174,86237678,86336270,86364806,86410840,86438598,86524661,86625806,86819789,87154349,87158397,87478670,87546084,87663197,87666374,87911475,88364109,88820849,88839998,88906349,88927044,89111367,89210240,89371421,89761310,89935409,90141470,90244709,90336917,90435278,90483576,90643287,90729149,91149796,91226724,91266821,91303947,91363269,91788020,92029469,92051198,92230264,92292461,93315989,93772240,93983172,94088925,94112381,94193357,94366517,94812497,95134214,95178435,95455310,95456583,96128117,96550865,96699029,96749534,96970670,97212195,97296789,97304597,97656558,97727870,97880717,98363846,98376806,98863070,99233486,99565000,...,1182490345170480265627961321747318678741437427347964082345365685444691031048646433738146535943386067448873654710160825862611667216865788915826148442526730015273493346085213770440962488878494236666074619714159256370628564808749017616205678343665401644564467600295558356060559742175810375563192684127572270289105196472006468897823087499958620013917280681329386725318904283600475322787980870817895599406879062708648834290049176074578108755727255767042061637712832994209505689485604266650570471773599999885068238103496199357383072673515949082595483381977496665104852231755098437245760271180452604247032061895569510385134169685117608493477918661359374127122680264970937864409689476432350158368708185067847161876892934710558892434973351019500987637551644071723181001099750645733231426642685497710278450961774097141558136136275771295546483779205439492478791421852497942186254861301681349674926380899169178629707420141171269070160254520617103080457287361556448317564817707466585746273708613187229199208462234366929167436583439834205449386479596921930770757653218332257630113473919603830687472942329506469588211779136344678183396961809339309950490055722660686216833143316271738711275025971291226309346839134673479591349784467924749367237221817704673067603128415723345830633377550249974638500867272444350955728775311373071365547343570202020401737512649906872610519504513634955412979856945026096693114416224345842324818053320053882002627425332931436315906551496323007731050459968885085582826123704535236646683276823592590629684928979905402112247611148163080725684063226752528782678564687257171695568065718301938463851990089214764180364394687082580015573202382038673088434378706171464810625955561113400306459394150903968207292028000263682640172953650391056872779946334603580501759488945956332592086631065155915313460513355921166458701674514442373674568901763349043419548300815968687439805756443629242023292131068804353533430409899147906489268242861861275443012255008406552403837378811782359697523242325098348199497682094413228588602881119963257163195930927404793592597108559227774393042512228587965000621125438333184197208122495556197669811676425525411111531014350581293829176393499694979350554943928927965339143873260845631675510217933833576934812802458696988653244924242988658264158051681000468835747992562487163292059610167485364422966694461750911012055078549659545024347683322548309500152141799205954763695334936527923341837777723843017213619442186097785725631709935777864059505193596286043051300804798384673455912380512682894744256780794390494276522544757134259756038629866186112541645255143325335585245174067675768391176783887192242684985593886924775623564322762592155763341062296515257943289438564426997924777599300053770148466455368124991328002962882199285947391308286297440825758791801363503360219848069104855872516948043641456601379834062867217001478289923795584981016450806599093098761995882270673056253792482929979150973437323177949717886950410864177724041960776743281245334673647057766638553513750888519362053250691695166669620625891705248203056638846147980791297656394594371618238751767800262303790249587848195808996752285222406295617253401907824922223150418236353338572}
19940 235854976359474825508094080325891464221028296151954236147886676617530082: {59811,259051,438394,756922,1115912,1255401,1354492,1450291,1494525,1569019,1594160,1793430,1831996,1869754,1912992,1924771,2152116,2516251,2752339,2821114,3223651,3576379,3739132,3849154,3884205,4143152,4396891,4601289,4661046,4747459,5425474,5477725,5675205,6053552,6490579,6573270,6591196,6606211,6810246,6832217,6842504,7011488,7073722,7108941,7697817,7758571,7856122,7887924,7988179,8324794,8446531,8463025,8542677,8560939,8903731,9017851,9026722,9416122,9493954,9701059,9760310,9882874,10116034,10155091,10155630,10648712,10832672,10892194,11598824,11712372,11735131,11979801,12047365,12183979,12186756,12232965,12684581,12828405,12966691,13048496,13048677,13301059,13634779,13675996,13683632,13943300,13967851,14078731,14365114,14456838,14521531,14679558,14825722,15394086,15515554,15554332,16281211,16390579,16731960,16815034,17124429,17501122,17847424,17895772,17957794,18120830,18185914,18346891,18823455,18830332,19096954,19316299,19778722,19919000,20078352,20232514,20386225,21151965,21213754,21466214,21590434,21661411,21744996,22408875,22562096,22588146,23345059,23525805,23867419,23902800,23916922,24284011,24284469,24463470,24839912,25094192,25382358,25496320,25758845,25886900,25938859,26094368,26349691,26490405,26759371,26890650,26963779,26970274,27371731,27473539,27636922,27651196,27932794,27944901,28112572,28230966,28256432,28386571,28602344,28683360,29040034,29356164,29418789,29795251,29955196,30510754,30595584,30666020,30910614,31064280,31387891,31444509,31567017,31684459,31788486,31980379,32177637,32268780,32704834,32777722,32876517,33135232,33593205,33796474,33936619,34420032,34522234,34947315,35096539,35318722,35607874,35832752,36055219,36058757,36150691,36341419,36368092,36798350,36799224,37082829,37277136,37279612,37290739,37552954,37668451,38556922,38628514,38681049,38701219,38722536,38908965,39074611,39099196,39272122,39553372,40080365,40280179,40311846,40341922,41199259,41268405,41399127,41502896,41656099,41929339,41936778,42416045,43176412,43195891,43247674,43562853,43627996,43808600,43913299,44019632,44146225,44158020,44181139,44304034,44359339,44448331,45774571,46266274,46300531,46574045,46690758,46997779,47033722,47101888,47258059,47479817,47660194,47679292,47825877,48035011,48096438,48464131,48493474,49026385,49186114,49232011,49284675,49522086,49919932,50162611,50899254,51084499,51274605,51334411,51512510,51666619,51872122,51908744,52153372,52327579,52492349,52570320,52606405,52833512,52975470,52989624,53036805,53310379,53623965,53700501,54349977,54641272,54669634,54692912,54873274,54972957,55005331,55280122,55686394,55880491,55888854,56075008,56106869,56507168,56572592,56944461,57059851,57144405,57198896,57305722,57435497,57574714,57709114,57914419,58299979,58397337,58453699,58581154,58831662,58913131,58982722,59141610,59251996,59437701,59583994,59613327,59748691,59761749,59917474,59975059,60200779,60594350,60846569,60954032,60981922,61015132,61471431,61529526,61815012,61983211,62276251,62306722,62640931,62702914,63084384,63127686,63364891,63559354,63570564,63644166,63795811,64010299,64081651,64225317,64348758,64366339,64428681,64937122,65402812,65563411,65655994,65839996,65926605,66119539,66534350,66808219,66945091,67217971,67282594,67551464,67692739,67791025,67800994,67828310,67837701,67865722,67895131,68189122,68573286,68848005,68897371,69308841,69622051,69790501,69980889,70013659,70121122,70185274,70208491,70321712,70467259,70789099,70865589,70969932,71014181,71081722,71109139,71207912,71236651,71720122,71869891,72120584,72293314,72611194,72631677,72674722,72682339,72713220,73180275,73437872,73589300,73787179,73882677,74091772,74098965,74244009,74270731,74510074,74630371,74809219,74888122,74989070,75265594,75609485,75765512,75810451,75868699,75893434,75995397,76733779,76904851,77105692,77316317,77525965,77560768,78028771,78058960,78579931,78748865,78852811,78987161,79038896,79111926,79173129,79231819,79446811,79607299,79841220,79921965,79939389,80108901,80152670,80181922,80551234,80701481,80712571,80816179,81073939,81135657,81211629,81349230,81393972,81471994,81533371,81936859,82050710,82328122,82389154,82484131,82510525,82582699,82617606,82665532,82876834,83522309,83561277,83695531,83932411,84152122,84167491,84678331,84816139,84837512,85163968,85236201,85250096,85270819,85315891,85405819,85420354,85540171,85542589,85600954,85718299,86201914,86245771,86462491,86772512,86848051,86923670,87119375,87255864,87331996,87560419,87816330,87816514,88015445,88307160,88385725,88530691,88649059,88649122,88708474,88833206,88918758,89020252,89116051,89231179,89307571,89441596,89537722,89610259,89986884,90018931,90346819,90382891,90574165,90658114,90731382,90775714,91124092,91499179,91538554,91543996,91600051,91832899,91931611,91964371,92383699,92541739,92759971,92953064,93031158,93056122,93245539,93287117,93288634,93334531,93339077,93539659,93597619,93670752,93926722,93967339,93984634,94188811,94194304,94243459,94253725,94498638,94505122,94950086,94978291,95251531,95442201,95586691,95726011,95809464,95818541,95906358,95907739,96001474,96128419,96183204,96299779,96341899,96377421,96487051,96786211,96901339,97069171,97210857,97243509,97586491,97602619,97619076,97634659,97714594,97714657,97759939,97855437,97982419,98080699,98162847,98223292,98240971,98460852,98461939,98552659,98649211,98659579,98730139,98735554,98787811,98920651,98928931,99007771,99012630,99074722,99118939,99143851,99190219,99277699,99300514,99326371,99345555,99365179,99381019,99391099,99396139,99399379,99400891,99582394,99939117,...,1773735517755720398441941982620978018112156141021946123518048528167036546572969650607219803915079101173310482065241238793917500825298683373739222663790095022910240019127820655661443733317741354999111929571238884555942847213123526424308517515498102466846701400443337534090839613263715563344789026191358405433657794708009703346734631249937930020875921021994080087978356425400712984181971306226843399110318594062973251435073764111867163133590883650563092456569249491314258534228406399975855707660399999827602357155244299036074609010273923623893225072966244997657278347632647655868640406770678906370548092843354265577701254527676412740216877992039061190684020397456406796614534214648525237553062277601770742815339402065838338652460026529251481456327466107584771501649625968599847139964028246565417676442661145712337204204413656943319725668808159238718187132778746913279382291952522024512389571348753767944561130211756903605240381780925654620685931042334672476347226561199878619410562919780843798812693351550393751154875159751308174079719395382896156136479827498386445170210879405746031209413494259704382317668704517017275095442714008964925735083583991029325249714974407608066912538956936839464020258702010219387024676701887124050855832726557009601404692623585018745950066325374961957751300908666526433593162967059607048321015355303030602606268974860308915779256770452433119469785417539145039671624336518763487227079980080823003941137999397154473859827244484511596575689953327628374239185556802854970024915235388885944527393469858103168371416722244621088526094840128793174017847030885757543352098577452907695777985133822146270546592030623870023359803573058009632651568059257197215938933341670100459689091226355952310938042000395523960259430475586585309169919501905370752639233418934498888129946597733872970190770033881749688052511771663560511853352645023565129322451223953031159708634665443863034938196603206530300145614848721859733902364292791913164518382512609828605756068217673539546284863487647522299246523141619842882904321679944885744793896391107190388895662838841661589563768342881947500931688157499776295812183743334296504717514638288116667296521525871940743764590249542469025832415893391948008715809891268447513265326900750365402219203688045482979867386364482987396237077521500703253621988843730744938089415251228046634450041692626366518082617824489317536521524983822464250228212698808932145543002404791885012756666585764525820429163279146678588447564903666796089257790394429064576951207197577010183868570769024342116385171191585741414783817135701389634057944799279168812467882714988003377867761101513652586765175830788364027478390830387163435346484143888233645011593444772886914934157846640496887166398950080655222699683052187486992004444323298928921086962429446161238638187702045255040329772103657283808775422065462184902069751094300825502217434885693377471524676209898639648142993823406009584380688724394968726460155984766924576830425616296266586062941165114921868002010470586649957830270626332779043079876037542750004430938837557872304584958269221971186946484591891557427358127651700393455685374381772293713495128427833609443425880102861737383334725627354530007858}
19941 236770336395233120564384047903923034506491643969336176887832600815260701: {79748,657591,976423,1135383,1394890,1673868,1693115,1992700,2031738,2289995,2391240,2410199,2550656,2690145,2747994,2804631,2869488,3228174,3625258,3723731,4231671,4673915,5178940,5296858,5608698,5773731,5987191,6135052,6214728,6730594,6991569,7566940,8138211,8238995,8553130,8764360,8969939,9080328,9317623,9478588,9567571,9859905,9886794,10148971,10215369,10263756,10517232,10610583,11390236,11417434,11715799,11784183,11831886,11973178,12487191,13265963,13310890,13540083,13540840,14124183,14240931,14498530,14640465,14824311,15174051,15233445,15616496,15754531,15973068,16191274,16249008,16310620,16338291,17094995,17104540,17298931,17398236,17429125,17568558,18280134,19133218,19275784,19424339,19442915,19572744,19741834,20513994,20525448,20914950,20965114,21547671,21685257,21734923,21919882,21957418,22019337,22238583,22309280,22369715,22832572,23018899,23091129,23273331,23331498,23429242,23537915,23962571,24724378,24898750,25027051,25097940,25222551,26251683,26482711,26661514,26771136,26843658,26936691,27181245,27197923,27278871,27995651,28083523,28202620,28245498,28645431,28993328,29275114,29668083,29784343,29828051,29878500,30117528,30348771,30475978,31049890,31353658,31367740,31598851,31820631,31870400,32199321,32358625,32379292,32385651,32617494,32617960,32691451,33843144,33882219,33968483,34563995,35140715,35320540,35752930,35854200,35875383,36304631,36315034,36695205,37259868,37443995,37641288,37680994,38073537,38244480,38256731,38332525,38517178,38785783,38822251,38830350,38889719,39141552,39225052,40012138,40335975,40455411,40794112,40852619,41032723,41191714,41213911,41214152,41419040,41455383,41471639,41476794,41899191,41926012,42089356,42168858,42346449,42384648,42821194,42903516,43025040,43560051,43835356,44034246,44079011,44528362,44785651,44790940,44932794,45420151,45460115,45766131,45893376,45999030,46229323,46365921,46596420,46599515,47525962,47682729,47811113,47856298,47995379,48403170,48873995,49057251,49065632,49166583,49423931,49441715,49443772,49501018,49548298,49702848,50049034,50483411,50501914,50545738,50694711,51574732,51630048,51783351,51878620,52978083,53298298,53334778,53411811,53749128,53970515,54083731,54534995,54552138,54760750,55024540,55136458,55197525,55198836,55323994,55915704,55919418,56329431,57835383,57874954,57942771,58083804,58087691,58176899,58210594,58643923,58648794,58877360,58908183,59107531,59330058,59562682,59577691,59599115,60258274,60467769,60512883,61193623,61531498,61679371,62254344,62306923,62399915,62905167,63105511,63767836,64128584,64258138,64764618,64871511,64885930,65191715,65441994,65699194,65712900,66029448,66041890,66065723,66237030,66294823,66456051,66632794,66907579,67325143,67865672,68301590,68366140,69159034,69399411,69406138,70036137,70093760,70550583,70633960,70652832,70715740,71490291,71498620,71518938,71600668,72144657,72466636,72740211,73297276,73416394,73426978,73746499,73779171,74064995,74232823,74283129,74518472,74593834,74748311,74879898,75461611,75863591,75925948,76010723,76017491,76065322,76192540,76268915,76348881,76616098,77109898,77268765,77285879,77808183,77863116,78230058,78442216,78855480,79250268,79463205,79484436,79682332,80559658,80975731,81265463,81333931,81753515,81961908,82004451,82039368,82299995,82309911,82419514,82420016,82589971,82920183,83464663,83529591,83615939,83755594,83833281,84112512,84170248,84325891,84439330,84760752,84858888,85395923,85633756,85793578,85798344,85904908,85958583,86362071,86563671,86634538,86660711,86831891,87871731,87902140,87904331,88247493,88432378,88474083,88712415,88848994,88877994,89009890,89176171,89375991,89562274,89876211,90119299,90150730,90444394,90450268,90891525,91431048,91472883,91522698,91526314,91797340,91986625,92294289,92411788,92491879,92614715,92722518,92932123,93307852,93460083,93873994,93957371,94054371,94487452,94626576,94691529,94706890,95339031,95355846,95421019,95466249,95521018,95682538,96137851,96382115,96523137,96842236,96846691,96950960,97405683,97573700,97744423,98104218,98483991,98510236,98727299,98759994,98798620,98992012,99030563,99243562,99801525,99981431,...,2660603276633580597662912973931467027168234211532919185277072792250554819859454475910829705872618651759965723097861858190876251237948025060608833995685142534365360028691730983492165599976612032498667894356858326833914270819685289636462776273247153700270052100665006301136259419895573345017183539287037608150486692062014555020101946874906895031313881532991120131967534638101069476272956959340265098665477891094459877152610646167800744700386325475844638684853874236971387801342609599963783561490599999741403535732866448554111913515410885435839837609449367496485917521448971483802960610156018359555822139265031398366551881791514619110325316988058591786026030596184610194921801321972787856329593416402656114223009103098757507978690039793877222184491199161377157252474438952899770709946042369848126514663991718568505806306620485414979588503212238858077280699168120369919073437928783036768584357023130651916841695317635355407860572671388481931028896563502008714520839841799817929115844379671265698219040027325590626732312739626962261119579093074344234204719741247579667755316319108619046814120241389556573476503056775525912643164071013447388602625375986543987874572461611412100368808435405259196030388053015329080537015052830686076283749089835514402107038935377528118925099488062442936626951362999789650389744450589410572481523032954545903909403462290463373668885155678649679204678126308717559507436504778145230840619970121234505911706999095731710789740866726767394863534929991442561358778335204282455037372853083328916791090204787154752557125083366931632789142260193189761026770546328636315028147866179361543666977700733219405819888045935805035039705359587014448977352088885795823908400012505150689533636839533928466407063000593285940389145713379877963754879252858056128958850128401748332194919896600809455286155050822624532078767657495340767780028967535347693983676835929546739562951998165794552407294904809795450218422273082789600853546439187869746777573768914742908634102326510309319427295231471283448869784712429764324356482519917328617190844586660785583343494258262492384345652514322921251397532236249664443718275615001444757076271957432175000944782288807911115646885374313703538748623840087922013073714836902671269897990351125548103328805532068224469801079546724481094355616282251054880432983265596117407134122876842069951675062538939549777123926736733976304782287475733696375342319048213398218314503607187827519134999878646788730643744918720017882671347355500194133886685591643596865426810796365515275802856153536513174577756787378612122175725703552084451086917198918753218701824072482005066801641652270478880147763746182546041217586245580745153019726215832350467517390167159330372401236769960745330749598425120982834049524578281230488006666484948393381630443644169241857957281553067882560494658155485925713163133098193277353104626641451238253326152328540066207287014314847959472214490735109014376571033086592453089690233977150386865245638424444399879094411747672382802003015705879974936745405939499168564619814056314125006646408256336808456877437403832956780419726887837336141037191477550590183528061572658440570242692641750414165138820154292606075002088441031795011787}
19942 237689223954941473543474376571012826706142945299037981773539530629769681: {99685,119622,458137,518102,577477,876788,1054117,1513844,1766917,2003941,2092335,2231824,2490875,2510802,2708984,2900582,2949157,2989050,3047607,3138038,3188320,3537577,3586860,3663992,3739508,3772441,3825984,3849542,4121991,4304232,4592197,4842261,5032502,5437887,5504678,5524741,5642228,6447302,6473675,7030297,7152758,7478264,7491097,7606117,7668815,7698308,7768410,7835941,7945287,8286304,8413047,8793782,9202578,9322092,9322777,9458675,9494918,9891397,10095891,10118341,10850948,10910377,10955450,11023237,11350410,11848235,12107104,12371941,12595717,12829695,12981158,13146540,13153897,13182392,13212422,13620492,13664434,13685008,14022976,14147444,14217882,14237795,14596741,14830191,15395634,15517142,15698341,15712244,15775848,15976358,16465177,16649588,16866311,16893062,16926050,17085354,17121878,17126151,17337241,17663077,17747829,17807462,17879941,17959767,18035702,18053444,18636697,18832244,18987908,19402118,19497241,19520620,19765748,19966335,20232068,20310182,20311260,20388275,20779417,21297424,21380675,21665344,21747795,21784388,22367557,22893337,22998277,23197648,23424744,23470262,23959602,24094730,24286911,24367958,24373512,24465930,25369162,25656810,25933382,26096992,26097354,26352837,26602118,26625817,27269558,27340741,27351992,27367264,27420201,27646057,27886600,27935702,28157462,28540715,28699827,28730228,28860841,28913676,29043062,29359116,29363941,29564677,29612751,29651444,30770991,30788172,31031108,31108664,31160197,31372425,31447671,32562422,32781158,32835241,32879823,32936127,33030937,33463920,33630068,34248858,34295941,34997247,35002244,35143863,35253275,35694848,35791544,35915588,35931817,36062383,36241660,36371828,36504217,36693782,37086567,37348125,37646910,37660664,38193908,38299717,38632598,39209675,39234277,39557444,39838000,39992271,40156704,40161637,40265487,40465028,40474115,40772450,41081797,42303930,42368247,42427508,42448537,42932428,42990697,43180868,43322822,43489992,43912671,44150675,44334757,44817750,44956441,45124192,45176292,45221797,45398341,45713967,46574835,46690118,46713241,47030487,47051610,47321317,47734838,47805600,47833844,48269737,48568022,48568938,48612457,48926241,48926940,49031315,49548997,49679824,50188384,50308777,50764716,50812057,50979241,50992640,51395941,51517690,51773800,51877718,52188736,52407515,52470937,52611695,52699382,52980810,53518742,53629395,53781300,53927558,53940548,54262441,54472551,54743462,54794195,54947078,55224937,55273844,55302392,55865588,55889802,55988675,56098117,56112511,56225144,56413477,56461932,56512864,56521491,56773142,56884357,57040741,57204688,57366720,57430441,57775767,58080068,58245525,58588741,58712328,58741957,58837578,59123737,59382463,59590502,59910392,60018207,60333337,61021508,61191168,61332040,61376617,61787571,61804715,61821228,61966441,62128560,62215191,62332741,62775782,62889018,63134034,63253287,63368918,63576972,63960758,63994537,64231791,64355274,64468415,64537560,64848275,65203663,65338597,65408617,65409668,65555444,65753034,66051369,66243241,66270464,66792543,66793897,66930841,67186410,67399191,67592948,67873238,68083237,68284441,68636939,68780675,68840064,68998545,69044468,69280741,69797519,69894630,70193078,70390297,70637444,71033257,71215748,71288943,71352037,71415577,71665504,71784447,72110438,72117514,72301382,72604755,72609157,72682838,72736184,73594117,73596700,73598448,73648967,74165658,74251527,74322447,74440837,74554272,74559224,74581478,74603639,74739817,75073551,75105908,75214441,75336902,75684457,75752871,75818607,76380841,76553317,77113844,77257028,77349637,77362098,77402438,77445072,77630617,77686597,77817930,78076441,78149222,78198392,78352741,78462757,78517657,78544244,79106744,79600537,79707241,79709795,79947447,80002167,80078437,80160730,80560358,80623692,80654617,80683844,81119557,81828207,81881497,82141125,82398518,82479683,82528741,82536810,82704687,82798254,82985991,83005792,83312198,83739241,83858678,83873556,83879127,83881477,84443941,84536677,84767257,84832090,85358341,85457675,85551191,85671577,86112937,86156677,86352824,86391782,86495348,86590117,86812431,87125706,87184837,87255992,87310441,87315891,87518341,87617200,87826598,87973191,88039264,88292450,88316040,88362278,88394675,88608068,88718678,88727941,88896662,88995087,89231977,89308441,89344023,89373275,89500835,89573797,89983657,90348697,90387411,90492697,90583295,90599941,90706537,90847657,91298341,91468441,91549142,91621595,91902277,92033317,92195497,92297247,92451241,92532548,92601062,93070441,93148090,93348463,93381516,93457477,93515941,93995558,94067444,94140037,94203776,94222441,94277017,94516118,94677157,94806937,94832677,94883941,94907435,94959634,95135941,95240675,95320388,95358584,95571397,95606423,95651754,95688217,95961241,96070022,96192876,96387207,96434857,96835177,96928262,96986948,97024537,97146927,97328895,97381657,97466437,97709977,97724483,97725637,97756741,97802857,98009497,98052770,98161957,98162991,98372228,98404777,98416837,98464022,98548791,98569350,98589097,98764741,98831017,98840197,98985241,99023941,99044172,99062835,99109477,99178777,99244441,99303877,99341317,99355545,99357337,99371557,99388441,99392617,99403417,99406441,99602915,99839864,99949191,...,3547471035511440796883883965241956036224312282043892247036097056334073093145939301214439607830158202346620964130482477587835001650597366747478445327580190045820480038255641311322887466635482709998223859142477769111885694426247052848617035030996204933693402800886675068181679226527431126689578052382716810867315589416019406693469262499875860041751842043988160175956712850801425968363942612453686798220637188125946502870147528223734326267181767301126184913138498982628517068456812799951711415320799999655204714310488598072149218020547847247786450145932489995314556695265295311737280813541357812741096185686708531155402509055352825480433755984078122381368040794912813593229068429297050475106124555203541485630678804131676677304920053058502962912654932215169543003299251937199694279928056493130835352885322291424674408408827313886639451337616318477436374265557493826558764583905044049024779142697507535889122260423513807210480763561851309241371862084669344952694453122399757238821125839561687597625386703100787502309750319502616348159438790765792312272959654996772890340421758811492062418826988519408764635337409034034550190885428017929851470167167982058650499429948815216133825077913873678928040517404020438774049353403774248101711665453114019202809385247170037491900132650749923915502601817333052867186325934119214096642030710606061205212537949720617831558513540904866238939570835078290079343248673037526974454159960161646007882275998794308947719654488969023193151379906655256748478371113605709940049830470777771889054786939716206336742833444489242177052189680257586348035694061771515086704197154905815391555970267644292541093184061247740046719607146116019265303136118514394431877866683340200919378182452711904621876084000791047920518860951173170618339839003810741505278466837868997776259893195467745940381540067763499376105023543327121023706705290047130258644902447906062319417269330887726069876393206413060600291229697443719467804728585583826329036765025219657211512136435347079092569726975295044598493046283239685765808643359889771489587792782214380777791325677683323179127536685763895001863376314999552591624367486668593009435029276576233334593043051743881487529180499084938051664831786783896017431619782536895026530653801500730804438407376090965959734772728965974792474155043001406507243977687461489876178830502456093268900083385252733036165235648978635073043049967644928500456425397617864291086004809583770025513333171529051640858326558293357176895129807333592178515580788858129153902414395154020367737141538048684232770342383171482829567634271402779268115889598558337624935765429976006755735522203027305173530351661576728054956781660774326870692968287776467290023186889545773829868315693280993774332797900161310445399366104374973984008888646597857842173924858892322477276375404090510080659544207314567617550844130924369804139502188601651004434869771386754943049352419797279296285987646812019168761377448789937452920311969533849153660851232592533172125882330229843736004020941173299915660541252665558086159752075085500008861877675115744609169916538443942373892969183783114854716255303400786911370748763544587426990256855667218886851760205723474766669451254709060015716}
19943 238611652536807868864872621644630680892126090216624986371864328155680039: {159496,179433,777153,1095985,1315182,1892305,1952846,2270766,2370361,2789780,2848417,3205993,3347736,3386230,3766203,3985400,4063476,4161817,4350873,4400773,4483575,4579990,4674385,4707057,4782480,4820398,5101312,5380290,5495988,5609262,5738976,5774313,6456348,6543481,7052785,7250516,7447462,7548753,8257017,8463342,8970841,9347830,9407497,9622885,9670953,10357880,10593716,10600837,10729137,11217396,11534593,11547462,11652615,11974382,12270104,12429456,12510181,13190673,13267297,13461188,13563685,13803867,13983138,14180857,14242377,15133880,15511441,16276422,16433175,16477990,17025615,17106260,17252257,17528720,17684305,17939878,18160656,18635246,18957176,19135142,19426297,19471737,19640305,19719810,19773588,19818633,19926601,20297942,20430738,20496651,20527512,20811985,21034464,21221166,21326823,22566805,22780472,22834868,22956037,23093451,23275713,23431598,23540305,23568366,23663772,23734885,23932993,23946356,23964537,24217873,24400775,24635017,24637573,24707185,24974382,25290085,25339593,25389075,25628031,25682817,26531926,26621780,26711193,26781697,26951377,27053553,27078721,27080166,27081680,27220081,27230485,27998473,28248366,28481862,28533241,28997060,29103177,29280930,29648622,30263497,30348102,30465273,30466890,30526357,30593473,31232992,31289257,31317601,31509062,31946136,32382548,32498016,32621240,32676582,32953081,33386341,34189990,34209080,34597862,34796472,34858250,35119957,35137116,35205393,35251333,35912785,35939403,36050761,36051097,36142095,36311137,36551937,36560268,36698895,37064305,37601377,38053743,38060773,38266436,38485215,38551568,38788885,38848678,38885830,38893657,38900073,38931733,39145488,39146031,39324241,39483668,39903177,40122913,40856737,40904337,41027988,41050896,41829900,41903553,41905897,41930228,42003397,42037585,42236193,42905473,43095342,43370514,43469846,43564593,43670041,43752805,43839764,43914836,44038674,44477166,44618560,44739430,44894485,45302075,45464785,45665144,45960577,46037798,46039537,46182258,46546662,46662996,46858484,47075830,47742385,47925142,48000217,48346177,48389593,48759793,48843633,49011937,49171737,49197001,49264777,49428913,49446805,49448756,49622341,49797500,50054102,50095141,50195880,50336617,50445102,50488537,50581285,51373287,52421593,52503366,52965422,53034385,53323028,53542272,53665535,53687316,53873382,53976085,54339241,54362490,54395846,54557742,54763273,55040673,55991302,56095801,56167046,56405240,56470365,56490996,57290862,57815353,57948897,57986656,58032277,58093573,58550228,58609441,59336166,59568686,59656102,59662213,59757000,59792305,60235056,60697542,60951956,61158675,62099780,62707316,62735480,63197702,63455895,63641262,63644161,63740800,64398642,64717250,64758584,64771302,64887877,64921537,64984233,65234988,65235920,65239321,65382902,66736441,67226625,67425685,67444057,67686288,67764438,67936966,68423593,68754517,69092305,69127990,69218401,69831985,70035177,70281430,70577415,70641080,71364193,71505860,71602257,71708400,71750766,72297637,72600085,72609262,72630068,72852033,72853407,73390410,73838161,74519736,74578897,74887990,75179137,75282576,75361988,75558721,75871273,76018441,76147074,76276885,76348993,76488960,76513462,76665050,76680421,77034356,77276535,77290513,77571566,77644502,77660700,77779438,77816577,78283104,78450104,78574021,79049073,79471215,79988281,80024276,80250577,80278113,80671950,80891337,80910822,81516457,81588224,81705238,81762085,81944305,81995941,82065446,82115193,82173457,82383428,82420617,82427822,82428304,82754533,82838080,82910766,82943278,82953588,82996657,83438761,83624497,83798382,83834703,83852024,84178712,84337716,84491185,84692898,84769296,84953161,85159713,85642388,85807032,86050080,86151241,86305585,86542177,87120102,87359881,87568153,87670712,88068492,88158022,88256367,88296805,88338913,88454917,89019685,89056724,89385753,89571302,89581880,89838853,89865588,90840302,90920230,91067593,91268401,91285297,91337857,91532262,91786752,91995875,91998060,92454241,92458646,92731842,93192840,93199030,93362977,93401317,93882385,94163673,94333527,94701051,94969897,95051924,95053377,95365458,95622226,95647777,95712596,95817913,95941137,95990758,96226537,96392305,96532911,96571285,96806340,96965497,97747990,98114502,98131264,98180305,98246017,98333166,98629551,98737441,98818837,98847862,98883430,98887544,99002036,99096596,99155617,99405696,99816841,...,5321206553267161195325825947862934054336468423065838370554145584501109639718908951821659411745237303519931446195723716381752502475896050121217667991370285068730720057383461966984331199953224064997335788713716653667828541639370579272925552546494307400540104201330012602272518839791146690034367078574075216300973384124029110040203893749813790062627763065982240263935069276202138952545913918680530197330955782188919754305221292335601489400772650951689277369707748473942775602685219199927567122981199999482807071465732897108223827030821770871679675218898734992971835042897942967605921220312036719111644278530062796733103763583029238220650633976117183572052061192369220389843602643945575712659186832805312228446018206197515015957380079587754444368982398322754314504948877905799541419892084739696253029327983437137011612613240970829959177006424477716154561398336240739838146875857566073537168714046261303833683390635270710815721145342776963862057793127004017429041679683599635858231688759342531396438080054651181253464625479253924522239158186148688468409439482495159335510632638217238093628240482779113146953006113551051825286328142026894777205250751973087975749144923222824200737616870810518392060776106030658161074030105661372152567498179671028804214077870755056237850198976124885873253902725999579300779488901178821144963046065909091807818806924580926747337770311357299358409356252617435119014873009556290461681239940242469011823413998191463421579481733453534789727069859982885122717556670408564910074745706166657833582180409574309505114250166733863265578284520386379522053541092657272630056295732358723087333955401466438811639776091871610070079410719174028897954704177771591647816800025010301379067273679067856932814126001186571880778291426759755927509758505716112257917700256803496664389839793201618910572310101645249064157535314990681535560057935070695387967353671859093479125903996331589104814589809619590900436844546165579201707092878375739493555147537829485817268204653020618638854590462942566897739569424859528648712965039834657234381689173321571166686988516524984768691305028645842502795064472499328887436551230002889514152543914864350001889564577615822231293770748627407077497247680175844026147429673805342539795980702251096206657611064136448939602159093448962188711232564502109760865966531192234814268245753684139903350125077879099554247853473467952609564574951467392750684638096426796436629007214375655038269999757293577461287489837440035765342694711000388267773371183287193730853621592731030551605712307073026349155513574757224244351451407104168902173834397837506437403648144964010133603283304540957760295527492365092082435172491161490306039452431664700935034780334318660744802473539921490661499196850241965668099049156562460976013332969896786763260887288338483715914563106135765120989316310971851426326266196386554706209253282902476506652304657080132414574028629695918944428981470218028753142066173184906179380467954300773730491276848888799758188823495344765604006031411759949873490811878998337129239628112628250013292816512673616913754874807665913560839453775674672282074382955101180367056123145316881140485385283500828330277640308585212150004176882063590023574}
19944 239537635690327315965899634625544763811951348650985222379026390547529584: {139559,199370,239244,338759,617303,916274,1036204,1054223,1154954,1648463,1753576,1972773,2004143,2043623,2108234,2595503,2929269,2988743,3027688,3302759,3406149,3487225,3533834,3577103,3772823,3811943,4007882,4184670,4463648,4475759,4981750,5021604,5059559,5079345,5176103,5417968,5564063,5801164,5898314,5978100,6095214,6276076,6376640,6800159,6869985,7075154,7173720,7184759,7230597,7299983,7327984,7479016,7544882,7651968,7699084,7836743,8070435,8243982,8413893,8608464,8638943,8981663,9063145,9095759,9184394,9475559,9684522,9778823,10065004,10119383,10157183,10497023,10736341,10798559,10875774,10911503,11009356,11049482,11061983,11171193,11284456,12410543,12695013,12894604,12947350,13043759,13242145,14021745,14060594,14081663,14305516,14598263,14956528,14982194,15076559,15212234,15337630,15396616,15536820,15671882,15736583,15890574,16357559,16466903,16572608,16587529,16826094,16826485,17266559,17321193,17587564,17961573,18405156,18422783,18644184,18645554,18890159,18917350,18989836,19499303,19535063,19782794,19932913,20191782,20236682,20974707,21382825,21630743,21701896,21820754,21910900,21983183,22046474,22264559,22510343,22700820,22720703,23035703,23696470,23942063,24214208,24358559,24414633,24704759,24716985,24743882,25191434,25291463,25659390,25962316,26293080,26307794,26355383,26364784,26423759,26424844,26833343,26909817,27240984,27328868,27370016,27377663,27445559,27547343,27852263,27952869,28045952,28190303,28294888,28392743,28435764,28475590,28543585,28702713,29193482,29579715,29660382,29932945,29968559,30301559,30446913,30646107,30791268,30898943,31034284,31361783,31396682,31424488,31551696,31559663,31831749,31888823,31952716,32675543,32838863,32930354,33034583,33277225,33299176,33425159,33732622,33749759,33786124,33852100,34170708,34243756,34252302,34299743,34674482,34783103,35147397,35326154,35352549,35456783,35495658,35614924,35680559,35759882,35919534,36071404,36106888,36246325,36730223,36888503,37172903,37273394,37461573,37664488,37975816,38053559,38304023,38429063,38804236,38994482,39041240,39145559,39531496,39610559,39797889,39932670,39957001,40381559,40464136,40478185,40620249,40620364,40622520,40776550,41300159,41558834,41665583,41999543,42372549,42594848,42722793,42761350,42815159,43115759,43205783,43265759,43330688,43495590,43568776,43921395,44250743,44369543,44458559,44472933,44735114,44991143,45344759,45522153,45700335,45786674,45996554,46369559,46395296,46747703,46849488,46940524,47153423,47263593,47326823,47672759,47833045,47919204,48189460,48532559,48573822,48732143,48735916,48747024,48931860,49014873,49354585,49385159,49470023,49667759,50230559,50314703,50738324,50845943,51152183,51284985,51313620,51402023,51678863,51866764,51896793,52193984,52194708,52287375,52412785,52504583,52705674,53204236,53251634,53323103,53621423,54268943,54295823,54537383,54539116,54681482,54703984,54734528,54799705,54840402,54893545,55098503,55292114,55773200,55867583,55871404,56131223,56314924,56663761,56995559,57073703,57081430,57125759,57399654,57437423,57460456,57696263,57721682,57773759,57827352,57902759,57980063,58086124,58273017,58328745,58573105,58595903,58621463,58718232,58727882,59129354,59225502,59302888,59384543,59738183,59813759,59989823,60440759,60864263,61384223,61541982,61576344,61753463,61810945,61925159,61998623,62062216,62217328,62246875,62291759,62320394,62340503,62705063,62744850,62895342,63091943,63859559,64026383,64453559,64643013,65055771,65124844,65204769,65276759,65562316,65580023,65626559,65670482,65759646,65858759,65872254,66058011,66061874,66251663,66320759,66653785,66715749,66825263,66927840,66962183,67076063,67109145,67235159,67260136,67687559,67979903,68497716,68591882,68643841,68915159,68959343,69056697,69273387,69311663,69421343,69683759,69819993,69994494,70004488,70161863,70226759,70287726,70399463,70506550,70613745,70978559,71191559,71361383,71389696,71583088,71678423,71831176,71863634,71887713,72124766,72181943,72483320,72515063,72743656,72825503,73008434,73187785,73318463,73370521,73387564,73420583,73656373,74029103,74173134,74590559,74611141,74650343,74696250,74928383,75081153,75293820,75321328,75479759,75667653,75714143,75830903,76160159,76189945,76387816,76599434,76640159,76711873,76925759,76963703,77247263,77265196,77624725,77827583,78087143,78363503,78384145,78418559,78419350,78468554,78473543,78601559,78755049,78910823,79114888,79289663,79448133,79504559,79629383,79676000,79948559,79984542,80313408,80323274,80526983,80530974,80683223,80769743,80810073,80930056,80948230,81130943,81199343,81505559,81543735,81544900,81593769,81836613,81960023,82043543,82163594,82487977,82507559,82540463,83512703,83751263,83956559,83986953,84003743,84191759,84250569,84548903,84607860,84736494,84855016,84897074,84932303,85370783,85565159,85639559,85684103,85864856,85936293,85981394,86037863,86081759,86343623,86361736,86444759,86526601,86645644,86831183,86979984,87253703,87710159,87819503,87825342,87914759,88117559,88167937,88301350,88425023,88669514,88754423,89004249,89130263,89258303,89334743,89353029,89382325,89484153,89524583,89635500,89637623,89912882,90046559,90071063,90248384,90255781,90352584,90374663,90434783,90443594,90470759,90554423,90767759,90787585,90796682,91046313,91209623,91312583,91427934,91684559,92015159,92285159,92338559,92465903,92476463,92912759,92994263,93115559,93149670,93265559,93364559,93380236,93426482,93443183,93913583,94016543,94060974,94103220,94192103,94202485,94237823,94292423,94355759,94463423,94642634,94796553,95034983,95151743,95176559,95283263,95299559,95404703,95461893,95469676,95595263,95611200,95616037,95618759,95667688,95864903,95977463,95999759,96021983,96161063,96182759,96292945,96451343,96520103,96539474,96597963,96601559,96681863,97075875,97115159,97136044,97137876,97156953,97157663,97224914,97276943,97335383,97475989,97620983,97631759,97804943,97852482,97853880,97900703,97940159,98027063,98062630,98074353,98138903,98206463,98263559,98377823,98398343,98438783,98509559,98574023,98664623,98802383,98876783,98929559,98957759,98963303,98979743,99037559,99045143,99086759,99097994,99128303,99148103,99185759,99209423,99228263,99292559,99303143,99311903,99318983,99324503,99332543,99353759,99359648,99365159,99377783,99383663,99398759,99404303,99412223,99414863,99421463,99426143,99432863,99436559,...,7981809829900741792988738921794401081504702634598757555831218376751664459578363427732489117617855955279897169293585574572628753713844075181826501987055427603096080086075192950476496799929836097496003683070574980501742812459055868909388328819741461100810156301995018903408778259686720035051550617861112824451460076186043665060305840624720685093941644598973360395902603914303208428818870878020795295996433673283379631457831938503402234101158976427533916054561622710914163404027828799891350684471799999224210607198599345662335740546232656307519512828348102489457752564346914451408881830468055078667466417795094195099655645374543857330975950964175775358078091788553830584765403965918363568988780249207968342669027309296272523936070119381631666553473597484131471757423316858699312129838127109544379543991975155705517418919861456244938765509636716574231842097504361109757220313786349110305753071069391955750525085952906066223581718014165445793086689690506026143562519525399453787347533139013797094657120081976771880196938218880886783358737279223032702614159223742739003265948957325857140442360724168669720429509170326577737929492213040342165807876127959631963623717384834236301106425306215777588091164159045987241611045158492058228851247269506543206321116806132584356775298464187328809880854088999368951169233351768231717444569098863637711728210386871390121006655467035949037614034378926152678522309514334435692521859910363703517735120997287195132369222600180302184590604789974327684076335005612847365112118559249986750373270614361464257671375250100794898367426780579569283080311638985908945084443598538084631000933102199658217459664137807415105119116078761043346932056266657387471725200037515452068600910518601785399221189001779857821167437140139633891264637758574168386876550385205244996584759689802428365858465152467873596236302972486022303340086902606043081951030507788640218688855994497383657221884714429386350655266819248368802560639317563609240332721306744228725902306979530927958281885694413850346609354137289292973069447559751985851572533759982356750030482774787477153036957542968763754192596708748993331154826845004334271228815872296525002834346866423733346940656122941110616245871520263766039221144510708013809693971053376644309986416596204673409403238640173443283066848846753164641298949796788352221402368630526209855025187616818649331371780210201928914346862427201089126026957144640194654943510821563482557404999635940366191931234756160053648014042066500582401660056774930790596280432389096545827408568460609539523733270362135836366527177110656253353260751596756259656105472217446015200404924956811436640443291238547638123652758736742235459059178647497051402552170501477991117203710309882235992248795275362948502148573734843691464019999454845180144891330932507725573871844659203647681483974466457777139489399294579832059313879924353714759978456985620198621861042944543878416643472205327043129713099259777359269070701931451160595736915273333199637283235243017148406009047117639924810236217818497505693859442168942375019939224769010425370632312211498870341259180663512008423111574432651770550584184717975321710728077925251242495416460462877818225006265323095385035361}
19945 240467187016475340583729511876184535279039530294735833610355627445929858: {299055,318992,358866,1295255,1374411,1534379,1554306,1732431,2191970,2630364,2649227,3162351,3366311,3784610,3905692,4541532,4740722,4918511,5300751,5579560,5696834,6011823,6277005,6411986,6544139,6695472,6772460,7251455,7472625,7532406,7845095,7970800,8126952,8323634,8701746,8801546,8847471,8967150,9142821,9159980,9348770,9408443,9414114,9564960,9623855,9640796,9873899,10202624,10601903,10612731,10760580,10991976,11117951,11218524,11317323,11477952,11548626,12365973,12511439,12581255,12912696,13086962,13472039,13761695,13776591,13981967,14105570,14182283,14501032,14526783,14641979,14894924,15097506,15948383,16118255,16313661,16514034,16574223,16926684,17881895,17941682,18331703,18695660,18814994,18989159,19245770,19341906,19421025,20389031,20602079,20715760,21090891,21187432,21201674,21458274,21984455,22270907,22434792,22473291,22621679,22818351,22958351,23006445,23069186,23094924,23305230,23507823,23737295,23835861,23948764,24540208,24758027,24858912,25020362,25239141,26381346,26534594,26922376,27127370,27388625,27496427,27536111,27607734,27864983,27966276,27968331,28361714,28376025,28484754,28946219,29114111,29136779,29674191,30138239,30267760,30287673,30355023,31022882,31292411,31593527,32452895,32552844,32631623,32731131,32866350,32955980,32956427,33031055,33069711,33228839,33721103,34051230,34154879,34161085,34212520,34504514,34538279,34590059,35014943,35057440,35368610,35406119,35544705,35765951,35879756,36054731,36321312,36724607,37115823,37270492,37542023,37787151,37914352,38122679,38270284,38489085,38792855,38852594,38943474,39280610,39328223,39439620,39461691,39547176,39637266,39853202,39940895,40292027,40595884,40861476,40993302,41055024,41623970,42007631,42068928,42232655,42315125,42442332,42538511,42653646,42713385,42750359,42804695,43674443,43790223,44437991,44490573,44518655,44900183,45089255,45133610,45560944,45669736,45912074,45965231,46186902,46474103,46551426,46863196,46951211,47080610,47095023,47136732,47327544,47469770,47865986,47892712,47929074,48435746,48505295,48801550,49185839,49270034,49275146,49395531,49414370,49525151,49627343,49671191,49948764,50277899,50341691,50580170,50598933,50679186,50767559,50775455,50778150,51256062,51365634,51378453,51890027,52011723,52042943,52989231,53063852,53243487,53243560,53422386,53563394,53639823,53879301,53902754,54107106,54157442,54160332,54163360,54304439,54440162,54460970,55750847,55910091,55988687,55996946,56496732,56963724,57066482,57136391,57994120,58206354,58491723,58561860,58675655,58852619,59181431,59297244,59668271,59899005,60236825,60526994,60696204,60919895,60930546,60933780,61052714,61164825,61186946,61206011,61253927,62034503,62338251,62465984,62578514,62635202,62695307,62852279,63018124,63422905,63650699,63892272,64142025,64219103,64765096,64833455,64928111,64996032,65242480,65243385,65263967,65353164,65906162,66505295,66772682,66839339,67102671,68173895,68379980,68418160,68680011,68994831,69195724,69225527,69265703,69362903,69592944,69716500,69839255,70239914,70274232,70393655,70410786,70502666,70724879,70734011,70813799,71374523,71825570,71878806,72101522,72102194,72284190,72607655,72622274,72646079,72860733,73103874,73120536,73397790,73587947,74076491,74128610,74248139,74587787,75131749,75202754,75566519,75824351,76107486,76121546,76532872,76679711,76688207,76970430,77103136,77577770,77697356,77771660,77787314,77800146,77863466,78290976,78292062,78344507,78392159,78648482,78967336,79058511,79721087,79806354,79877451,80245826,80657639,81406055,81713474,81808674,81952895,82022223,82055976,82101792,82260603,82938171,82957031,83619623,83659800,83709227,83807106,83811794,83860456,83992919,84006794,84075170,84472386,84961787,85334591,85622145,85701647,85810103,85810946,85995743,86099481,86190684,86582523,86741028,86939692,87129186,87340082,87505610,87679528,87829672,88077348,88091823,88694031,88838253,88848071,88954332,89237120,89398667,89478860,89788970,89962727,90272759,90604150,90929570,91330288,91734455,91921154,92075596,92079074,92312973,92364516,92510603,92769791,92883263,93093324,93325992,93372431,93480591,93716968,94117275,94151660,94343013,94395959,94841591,95484770,95850284,95859119,96000434,96337631,96581495,96692354,96729227,96779186,97519586,97687266,97764779,97910879,98023874,98343474,98394002,98505723,98529554,98639469,98808381,98828951,98857826,98893610,98897512,99092811,99165803,99244682,99595000,99801803,...,10642413106534322390651651895725868108672936846131676741108291169002219279437817903643318823490474607039862892391447432763505004951792100242435335982740570137461440114766923933968662399906448129994671577427433307335657083278741158545851105092988614801080208402660025204545037679582293380068734157148150432601946768248058220080407787499627580125255526131964480527870138552404277905091827837361060394661911564377839508610442584671202978801545301903378554739415496947885551205370438399855134245962399998965614142931465794216447654061643541743359350437797469985943670085795885935211842440624073438223288557060125593466207527166058476441301267952234367144104122384738440779687205287891151425318373665610624456892036412395030031914760159175508888737964796645508629009897755811599082839784169479392506058655966874274023225226481941659918354012848955432309122796672481479676293751715132147074337428092522607667366781270541421631442290685553927724115586254008034858083359367199271716463377518685062792876160109302362506929250958507849044478316372297376936818878964990318671021265276434476187256480965558226293906012227102103650572656284053789554410501503946175951498289846445648401475233741621036784121552212061316322148060211322744305134996359342057608428155741510112475700397952249771746507805451999158601558977802357642289926092131818183615637613849161853494675540622714598716818712505234870238029746019112580923362479880484938023646827996382926843158963466907069579454139719965770245435113340817129820149491412333315667164360819148619010228500333467726531156569040772759044107082185314545260112591464717446174667910802932877623279552183743220140158821438348057795909408355543183295633600050020602758134547358135713865628252002373143761556582853519511855019517011432224515835400513606993328779679586403237821144620203290498128315070629981363071120115870141390775934707343718186958251807992663178209629179619239181800873689092331158403414185756751478987110295075658971634536409306041237277709180925885133795479138849719057297425930079669314468763378346643142333373977033049969537382610057291685005590128944998657774873102460005779028305087829728700003779129155231644462587541497254814154994495360351688052294859347610685079591961404502192413315222128272897879204318186897924377422465129004219521731933062384469628536491507368279806700250155758199108495706946935905219129149902934785501369276192853592873258014428751310076539999514587154922574979674880071530685389422000776535546742366574387461707243185462061103211424614146052698311027149514448488702902814208337804347668795675012874807296289928020267206566609081915520591054984730184164870344982322980612078904863329401870069560668637321489604947079842981322998393700483931336198098313124921952026665939793573526521774576676967431829126212271530241978632621943702852652532392773109412418506565804953013304609314160264829148057259391837888857962940436057506284132346369812358760935908601547460982553697777599516377646990689531208012062823519899746981623757996674258479256225256500026585633025347233827509749615331827121678907551349344564148765910202360734112246290633762280970770567001656660555280617170424300008353764127180047148}
19946 241400320167902200865795615598605218061384769204294043690929570590879573: {279118,378613,398740,478488,538299,677518,1234606,1569493,1832548,2043829,2072408,2108446,2309908,2331459,2517013,3287955,3296926,3507152,3812329,3945546,4008286,4087246,4216468,4515193,4882115,5191006,5676915,5858538,5977486,6055376,6605518,6608233,6812298,6839353,6974450,7067668,7111083,7154206,7545646,7623886,8015764,8369340,8465575,8545251,8563573,8906473,8927296,8951518,9020629,9617979,9704053,9963500,10043208,10119118,10158229,10158690,10352206,10835936,11128126,11298609,11449975,11602328,11796628,11851129,11956200,12050995,12190428,12485451,12552152,12688403,12753280,12970729,13052619,13202319,13450725,13600318,13639033,13739970,13972213,14023155,14083129,14121171,14150308,14193973,14347440,14369518,14461194,14599966,14655968,14958032,15089764,15303936,15398168,15673486,16140870,16395733,16487964,16723513,16827786,17216928,17277886,17322939,17811433,17963326,18126290,18191518,18352693,18368788,18539003,18618655,18951118,19369044,19537129,19557646,19630443,20130008,20238766,20314366,20499733,20994046,21158355,21472682,21597118,21668329,21751548,21823006,22018712,22098964,22123966,22342386,22568912,22646259,23369575,23557079,24771051,24821086,25390026,25789208,25894700,26087518,26358229,26460793,26484290,26504203,26870329,26912523,27482473,28043490,28121188,28163326,28222491,28496953,28611032,28799893,28868655,29001493,29012859,29196526,29913056,29935955,29964388,30153118,30304873,30424468,30675260,30793232,30902329,31073640,31343764,31398229,31473166,31781148,31793653,31802511,32187411,32286313,32715118,32933806,33145216,33175058,33652188,33652970,34533118,34603779,34642386,34819129,34957845,35175128,35684533,35923146,36162793,36810312,36845566,37208629,37288368,37291108,37530543,37780318,37834700,37979672,38998606,39070126,39565588,39572019,39645973,39801891,39865826,39961019,40383564,40386133,40473364,40691055,41194975,41304853,41411601,41761513,41906123,41949414,42542571,42669433,42727131,42765650,43261486,43403792,43641508,43659829,43821800,43966366,44092948,44463673,44529118,44849695,45020686,45401640,45441406,45790453,46071406,46404073,46534323,46588115,46665973,47392940,47837855,47884126,48428416,48717118,48829266,49299525,49409518,49433970,49487764,49673593,50180329,50382868,50582926,50744855,51076845,51102613,51318780,51756771,51767893,51924632,52586160,52615588,52710766,52729568,52847518,52849688,53052915,53410933,53666686,53817193,53819634,54302329,54481968,54657736,54740032,54755326,54891118,55094686,55105129,55503829,55704526,55900729,55905738,56091904,56380606,56589776,56669459,56785486,56871528,56951180,57087170,57158713,57405426,57548053,57935593,58278891,58386964,58415211,58578995,58628629,58920915,58934773,59011129,59159430,59320764,59455899,59770729,59779803,59865890,59937118,60072553,60603118,60893826,61292214,61489953,61582536,61797886,62068568,62299513,62435955,62445673,62723566,62793364,62848976,63103392,63119326,63663498,63777646,63905432,63980469,64105813,64461673,65308393,65351086,65658133,65677726,65860708,66069166,66329815,66352213,66554450,66598352,66850318,66966263,67243753,67465244,67499518,67572248,67583413,67700415,67704200,67718773,67988629,68341416,68487512,68504604,68599486,68868111,69096419,69280353,69348964,69566206,69583573,69714613,69827139,70294794,70559353,70620915,70652308,70705098,70913566,70991316,71009173,71200873,71204655,71229848,71361118,71519764,71798979,71839068,71893611,71961193,72142808,72213776,72274933,72492650,72653619,73202325,73377899,73460446,73777006,73905051,73912719,74059129,74121555,74345806,74546788,74720053,74923146,74958229,75313333,75328976,75489913,75870255,75899413,75951632,76018779,76107118,76167225,76363093,76478293,76608046,76719587,76765033,76850963,76858126,76884093,76993129,77048451,77608472,77988964,78082480,78291118,78667129,78772655,78939829,79062992,79221118,79595778,79693813,79865340,79914002,79959673,80133579,80345091,80538229,80763118,80798329,80854131,80928272,80956370,81160659,81236163,81240498,81240728,81245040,81553100,81618553,81660243,81691455,82002347,82370773,82600318,83117668,83331166,83995419,83999086,84015829,84203893,84250729,84745098,85189696,85353193,85445586,85474975,85522700,85599723,85630318,85800313,86231518,86411566,86494655,86531518,86535323,86543893,86661376,86991180,87137552,87145625,87182713,87309531,87599593,87723253,87842790,88130773,88176803,88211413,88331833,88501486,88610293,88739086,88917118,88945866,89156629,89470228,89912629,89982286,90424693,90689518,90781813,90790491,90852373,90957673,91044306,91395819,91400670,91573348,91579071,91780419,91809973,91993108,92007829,92363833,92491129,92679913,92739118,92790592,92804329,93140533,93290473,93315299,93495406,93526633,93698976,93700729,93843829,93867771,93881048,93952803,94152313,94306846,94527186,94653646,94690873,95050729,95345518,95540329,95666090,95797333,95838408,96199093,96378920,96557113,96757993,96836329,97045813,97065118,97119829,97121695,97147644,97214575,97464286,97471832,97472629,97485791,97494048,97654393,97702453,97812073,97857973,97863720,98029746,98228629,98281333,98527573,98595829,98709170,98714233,98770318,98794873,98859243,98940046,98984629,99033013,99071353,99169129,99279253,99331129,99335518,99351829,99374293,99419113,99426133,99456373,99460729,...,15963619659801483585977477843588802163009405269197515111662436753503328919156726855464978235235711910559794338587171149145257507427688150363653003974110855206192160172150385900952993599859672194992007366141149961003485624918111737818776657639482922201620312603990037806817556519373440070103101235722225648902920152372087330120611681249441370187883289197946720791805207828606416857637741756041590591992867346566759262915663877006804468202317952855067832109123245421828326808055657599782701368943599998448421214397198691324671481092465312615039025656696204978915505128693828902817763660936110157334932835590188390199311290749087714661951901928351550716156183577107661169530807931836727137977560498415936685338054618592545047872140238763263333106947194968262943514846633717398624259676254219088759087983950311411034837839722912489877531019273433148463684195008722219514440627572698220611506142138783911501050171905812132447163436028330891586173379381012052287125039050798907574695066278027594189314240163953543760393876437761773566717474558446065405228318447485478006531897914651714280884721448337339440859018340653155475858984426080684331615752255919263927247434769668472602212850612431555176182328318091974483222090316984116457702494539013086412642233612265168713550596928374657619761708177998737902338466703536463434889138197727275423456420773742780242013310934071898075228068757852305357044619028668871385043719820727407035470241994574390264738445200360604369181209579948655368152670011225694730224237118499973500746541228722928515342750500201589796734853561159138566160623277971817890168887197076169262001866204399316434919328275614830210238232157522086693864112533314774943450400075030904137201821037203570798442378003559715642334874280279267782529275517148336773753100770410489993169519379604856731716930304935747192472605944972044606680173805212086163902061015577280437377711988994767314443769428858772701310533638496737605121278635127218480665442613488457451804613959061855916563771388827700693218708274578585946138895119503971703145067519964713500060965549574954306073915085937527508385193417497986662309653690008668542457631744593050005668693732847466693881312245882221232491743040527532078442289021416027619387942106753288619972833192409346818806477280346886566133697693506329282597899593576704442804737261052419710050375233637298662743560420403857828693724854402178252053914289280389309887021643126965114809999271880732383862469512320107296028084133001164803320113549861581192560864778193091654817136921219079047466540724271672733054354221312506706521503193512519312210944434892030400809849913622873280886582477095276247305517473484470918118357294994102805104341002955982234407420619764471984497590550725897004297147469687382928039998909690360289782661865015451147743689318407295362967948932915554278978798589159664118627759848707429519956913971240397243722085889087756833286944410654086259426198519554718538141403862902321191473830546666399274566470486034296812018094235279849620472435636995011387718884337884750039878449538020850741264624422997740682518361327024016846223148865303541101168369435950643421456155850502484990832920925755636450012530646190770070722}
19947 242337048849127831004602821911466745382875647168130745206850306698223623: {418677,498425,598110,637984,717732,1016277,1813357,1851909,2290685,2590510,2748822,2887385,3068758,3108612,3162669,3464862,3724853,4383940,4945389,5037989,5260728,5270585,5298454,5754857,5918319,6012429,6130869,6324702,6732622,7569220,7786509,7811384,8787807,8834585,8966229,9083064,9481444,9837022,9908277,10019705,10152037,10218447,10282613,10461675,10601502,10731309,10983133,11119069,11159120,11318469,11393668,11435829,12023646,12454375,12554010,12823972,13088278,13390944,13427277,13473397,13544920,13862633,13983373,14502910,14745785,14945250,15064812,15178677,15238035,15528309,15690190,15941600,16253904,16647268,16692189,16726649,17304157,17403492,17603092,17613757,17687885,17694942,17934300,18125789,18285642,18319960,18697540,18816886,18828228,18848089,18862205,19129920,19247710,19266373,19281592,19747798,20400477,20405248,20609955,21203806,21225462,21521160,21554277,21691791,21899949,21983952,22235902,22437048,22565557,22634646,22955904,22960985,23025853,23097252,23510229,24211305,24731946,25022878,25034653,25162510,25241679,25283053,25825392,25916829,26173924,26944078,26944989,27189435,27287277,27523390,27553182,27623705,27963934,28211140,28364566,28426677,29002064,29053566,29283958,29336469,29789848,30019433,30195012,30358149,30471549,30778237,31491069,31608397,31896766,32209023,32236510,32368375,32395677,32419949,32627322,32734509,33028068,33148446,33185949,33232213,33513579,33853368,35151485,35763790,35883364,36663406,36722989,37231629,37391320,37455485,37608989,37629988,37876469,37978318,38030585,38085039,38344075,38491540,38683812,38842050,39131277,39179705,39726435,40364857,40778062,41045149,41204158,41431520,42065235,42181782,42244989,42374864,42403348,42774413,42916548,43140569,43794789,43855277,43968910,44541814,44869584,44904709,44946582,45229677,45243358,45434053,45636702,45916702,46012890,46097897,46138372,46189848,46243477,46478809,46610460,46613885,47015646,47209749,47293375,47474590,47671722,47779813,47825519,47897528,49072677,49080416,49190797,49213373,49400709,49456985,49516054,49717824,49762587,50040724,50478282,50479455,50591705,51783413,51799677,51963579,52048189,52762692,53069188,53844752,53884719,54254740,54309997,54551885,54777250,54992854,55019093,55072222,55116185,55215468,55268349,55729966,55733369,55917253,55932552,55936662,56107157,56670477,56723428,56740213,56752050,56969508,57892438,58228222,58273558,58497909,58605189,59125717,59241175,59348382,59595733,59636309,59798739,59926573,60102293,60276478,60535520,60575346,60710046,61859705,62045764,62326117,62584822,62924121,62978585,63124957,63187054,63262909,64092533,64148475,64892229,64905790,65105688,65263246,65462262,65732700,65769485,65911960,65912854,65949549,66062110,66139422,66457678,66793677,67442206,67531029,67907413,68102460,68162109,68309758,68322170,68425040,69009028,69076558,69107109,69180118,70029886,70114880,70737220,70812238,71085637,71089410,71108857,71188975,71531902,71759512,71826189,72109462,72642624,72983705,73075677,73243899,73449214,74114277,74150955,74231646,74540984,75084046,75574302,75828704,75874389,76040789,76245358,76540568,76978170,77309573,77585710,77705188,77886948,78019817,78491705,78561220,78589229,78656446,78879240,78923382,79045453,79066149,79094352,79271277,79274532,79706404,79857433,79881790,80500029,80584054,80729451,81000253,81191768,81722952,81986604,82110048,82132989,82145917,82325885,82336677,82376789,82642029,83247940,83556789,83858607,84015262,84137856,84331555,84351709,84465310,84570909,84630250,84884664,85077022,85178229,85219093,85287853,85307292,85426770,85500718,85609390,85630755,85710349,85854457,86108139,86686205,87348886,87580446,87698629,88227289,88315385,88739145,88792067,88875982,88940557,88981146,89037310,89383037,89399705,89798835,89800366,89905677,89909753,90146773,90178510,90267220,90766837,90904677,91121888,91339472,91340739,91700969,91824148,91930462,91938321,92373804,92696829,92948206,93102852,93107413,93183485,93726392,93902422,94085349,94161220,94190046,94273464,94655088,94678989,94939540,95443453,95495247,95654093,95666469,95731972,95785424,95858148,96167053,96871492,97010590,97486205,97603100,97774957,98026629,98371678,98516589,98540068,98550292,98551117,98791062,98828740,99050302,99103749,99254686,99342382,99538997,99811909,99831675,99897528,...,23945429489702225378966216765383203244514107903796272667493655130254993378735090283197467352853567865839691507880756723717886261141532225545479505961166282809288240258225578851429490399789508292488011049211724941505228437377167606728164986459224383302430468905985056710226334779060160105154651853583338473354380228558130995180917521874162055281824933796920081187707811742909625286456612634062385887989301019850138894373495815510206702303476929282601748163684868132742490212083486399674052053415399997672631821595798036987007221638697968922558538485044307468373257693040743354226645491404165236002399253385282585298966936123631571992927852892527326074234275365661491754296211897755090706966340747623905028007081927888817571808210358144894999660420792452394415272269950576097936389514381328633138631975925467116552256759584368734816296528910149722695526292513083329271660941359047330917259213208175867251575257858718198670745154042496337379260069071518078430687558576198361362042599417041391283971360245930315640590814656642660350076211837669098107842477671228217009797846871977571421327082172506009161288527510979733213788476639121026497423628383878895890871152154502708903319275918647332764273492477137961724833135475476174686553741808519629618963350418397753070325895392561986429642562266998106853507700055304695152333707296590913135184631160614170363019966401107847112842103136778458035566928543003307077565579731091110553205362991861585397107667800540906553771814369922983052229005016838542095336355677749960251119811843084392773014125750302384695102280341738707849240934916957726835253330795614253893002799306598974652378992413422245315357348236283130040796168799972162415175600112546356205802731555805356197663567005339573463502311420418901673793913275722505160629651155615734989754279069407285097575395457403620788708908917458066910020260707818129245853091523365920656066567983492150971665654143288159051965800457745106407681917952690827720998163920232686177706920938592783874845657083241551039828062411867878919208342679255957554717601279947070250091448324362431459110872628906291262577790126246979993464480535013002813686447616889575008503040599271200040821968368823331848737614560791298117663433532124041429081913160129932929959249788614020228209715920520329849200546540259493923896849390365056664207105891578629565075562850455947994115340630605786743040587281603267378080871433920583964830532464690447672214998907821098575793704268480160944042126199501747204980170324792371788841297167289637482225705381828618571199811086407509099581531331968760059782254790268778968316416652338045601214774870434309921329873715642914370958276210226706377177535942491154207656511504433973351611130929646707976746385826088845506445721204531074392059998364535540434673992797523176721615533977610943044451923399373331418468197883739496177941639773061144279935370956860595865583128833631635249930416615981129389139297779332077807212105794353481787210745819999598911849705729051445218027141352919774430708653455492517081578326506827125059817674307031276111896936634496611023777541990536025269334723297955311651752554153925965132184233775753727486249381388633454675018795969286155106083}
19948 243277386816737515102943243968188079245040659700169652161702225002529822: {219307,558236,577651,757226,797480,897165,956976,1076598,1173451,1355036,2122987,2469212,3138986,3665096,3885765,3890947,4087658,4123233,4144816,4216892,4603137,4619816,4662918,4710451,4943947,5034026,5197293,5479925,6575910,6593852,6834961,7014304,7608451,7624658,7891092,7947681,8016572,8174492,8432936,9030386,9325651,9461525,9487053,9553387,9764230,10098933,10121467,10382012,10800787,11026651,11353830,11717076,11851805,11954972,12110752,12487747,12711451,13211036,13216466,13624596,13678706,13948900,14135336,14222166,14242085,14308412,14755533,15091292,15247772,15483451,15813067,15902253,16029965,16031528,16738680,16871393,16931150,17090502,17127146,17342707,17812946,17854592,17903036,17993947,18035469,18041258,18831015,19235958,19408106,19503427,19632417,19825051,19927000,20086416,20238236,20316458,20317380,20704412,20809085,20892451,21635347,21671872,21754365,22003865,22256252,22417875,22597218,22795627,22899950,23005651,23204656,23371925,23535285,23593256,23702258,23842867,23912400,24101990,24380856,24970902,25104304,25296907,25376806,25506560,25941458,26066117,26105238,26121451,26404638,26429467,26542413,26901450,27200636,27278066,27428463,27451507,27479940,27944426,28046310,28166258,28225329,28242342,28300616,28387946,28694880,28739036,28871565,28922388,29199932,29311936,29473987,29621697,29674651,29916064,29975107,30179528,30607872,30796336,30971947,31323149,31346972,31805709,31838193,32281740,32717405,32791466,32975928,33353853,33447026,33655572,33822067,33951969,34113451,34307347,34404187,34433856,34555772,34645878,35263925,35622866,35926652,36252580,36325867,36383036,36516451,36705386,36737576,37078006,37097919,37237310,37534317,37653907,37743765,37902236,38124787,38738088,39074258,39115292,39260886,40082827,40260016,40416117,40477532,40628732,40999466,41187451,41285085,41329773,41370547,41910337,41945901,41988092,42316710,42546849,42945364,43005451,43194236,43275667,43336658,43503096,43580349,43646012,43925937,44037424,44082427,44197928,44247932,44684772,44854205,45137824,45292518,45414067,45942187,46739150,47037485,47114158,47164387,47845149,47856451,48114425,48354765,48940983,49542102,49642172,49722669,49820467,50410651,50780052,50997307,51578416,51789400,52175036,52489651,52716458,52736107,52921586,52968580,53004185,53008406,53645685,53740658,53825046,54362587,54925051,54964946,54995109,55324651,56086980,56242376,56326652,56444982,56967477,56993906,57061507,57139627,57222064,57599786,57672965,57737310,57916867,58002986,58025718,58263075,58393052,59826112,59871910,59928776,60306236,60355651,60609746,60848936,60879307,61167093,61350520,61586464,61621267,61804658,61806237,61989547,62147280,62356027,62550905,62687528,62789573,62796458,62946332,63155947,63272673,63562296,63587306,63605022,63660451,64374822,64572626,65223361,65430236,65433451,65643187,65867612,65953365,66268507,66290432,66336485,66337627,66350116,66812721,66972997,67304376,67305940,67419873,67818425,67865037,68377747,68455053,68644867,68875053,68977147,69019335,69066236,69207558,69284772,69307627,69638258,69915690,70028347,70350256,70523469,70904285,71042797,71125051,71211885,71369066,71443651,71507583,71846292,71886667,72325586,72575707,72700051,72886027,73440067,73620624,73691132,74048827,74274081,74417258,74576736,74582216,74829451,75061086,75244747,75539227,75560636,75669400,75717423,75959344,76584451,76984627,77437651,77557205,77718451,77997212,78140252,78440107,78550051,79131176,79144038,79291946,79472947,79603782,79731652,79922038,80767128,80772266,80946728,81382110,81562387,82010593,82165875,82389950,82489281,82563907,82608333,82609706,82613227,82823202,82858747,83199451,83523026,83536627,83594949,83812246,83898828,83904993,84059347,84387451,85085142,85128075,85214947,85338866,85454262,85531300,85664587,85753651,85975051,86194651,86261285,86522972,86807584,86838657,87055051,87283016,87319658,87342333,87349387,87410337,87643600,87763747,87932732,87968227,88185896,88421525,88689451,88885651,88927346,89022573,89043053,89058236,89157307,89577067,89699390,90025051,90041372,90098707,90317947,90414717,90803280,90863019,90882812,91065069,91375267,91580906,92142812,92367787,92808146,92861741,93068646,93115147,93145387,93176230,93331946,93590347,93877233,94780581,94785880,94879651,94930987,95083267,95208187,95331307,95619451,95675710,95736451,95768252,95897227,96032227,96142747,96229867,96442627,96648187,96856832,96904651,97093651,97131485,97310947,97358685,97415707,97434236,97584547,97658532,97666267,97777651,97894869,98174227,98193393,98201525,98241907,98470651,98530051,98553307,98599050,98643451,98819036,98867940,98869281,98895451,98940451,98966587,98975528,99000427,99079987,99093165,99172651,99209133,99217507,99247387,99275467,99347186,99392467,99399451,99437827,99466987,99473107,99479587,99633005,99686517,...,31927239319602967171954955687177604326018810538395030223324873507006657838313453710929956470471423821119588677174342298290515014855376300727306007948221710412384320344300771801905987199719344389984014732282299922006971249836223475637553315278965844403240625207980075613635113038746880140206202471444451297805840304744174660241223362498882740375766578395893441583610415657212833715275483512083181183985734693133518525831327754013608936404635905710135664218246490843656653616111315199565402737887199996896842428794397382649342962184930625230078051313392409957831010257387657805635527321872220314669865671180376780398622581498175429323903803856703101432312367154215322339061615863673454275955120996831873370676109237185090095744280477526526666213894389936525887029693267434797248519352508438177518175967900622822069675679445824979755062038546866296927368390017444439028881255145396441223012284277567823002100343811624264894326872056661783172346758762024104574250078101597815149390132556055188378628480327907087520787752875523547133434949116892130810456636894970956013063795829303428561769442896674678881718036681306310951717968852161368663231504511838527854494869539336945204425701224863110352364656636183948966444180633968232915404989078026172825284467224530337427101193856749315239523416355997475804676933407072926869778276395454550846912841547485560484026621868143796150456137515704610714089238057337742770087439641454814070940483989148780529476890400721208738362419159897310736305340022451389460448474236999947001493082457445857030685501000403179593469707122318277132321246555943635780337774394152338524003732408798632869838656551229660420476464315044173387728225066629549886900800150061808274403642074407141596884756007119431284669748560558535565058551034296673547506201540820979986339038759209713463433860609871494384945211889944089213360347610424172327804122031154560874755423977989534628887538857717545402621067276993475210242557270254436961330885226976914903609227918123711833127542777655401386437416549157171892277790239007943406290135039929427000121931099149908612147830171875055016770386834995973324619307380017337084915263489186100011337387465694933387762624491764442464983486081055064156884578042832055238775884213506577239945666384818693637612954560693773132267395387012658565195799187153408885609474522104839420100750467274597325487120840807715657387449708804356504107828578560778619774043286253930229619998543761464767724939024640214592056168266002329606640227099723162385121729556386183309634273842438158094933081448543345466108708442625013413043006387025038624421888869784060801619699827245746561773164954190552494611034946968941836236714589988205610208682005911964468814841239528943968995181101451794008594294939374765856079997819380720579565323730030902295487378636814590725935897865831108557957597178319328237255519697414859039913827942480794487444171778175513666573888821308172518852397039109437076282807725804642382947661093332798549132940972068593624036188470559699240944871273990022775437768675769500079756899076041701482529248845995481365036722654048033692446297730607082202336738871901286842912311701004969981665841851511272900025061292381540141444}
19949 244221347879578293985506284543954822915112013406322770718829845093706422: {19949,697795,837354,996850,1135839,1196220,1275968,1435464,1614897,1693795,2032554,2411167,3086515,3206959,3626714,3703818,4042339,4163071,4402099,4581370,4708479,5181020,5271115,5497644,5774770,5953987,6131487,6137516,6217224,6325338,6431899,6929724,6994377,7378819,7449706,7551039,8242315,8767880,9863865,9890778,10020715,10075978,10218115,10283647,10521456,10541170,10596908,11436987,11509714,11836638,12024858,12152179,12261738,12368419,12649404,12977515,13465244,13545579,13864027,14027587,14538859,14646345,14943715,15138440,15493531,15516127,15573018,15622768,16513795,16728331,16925539,17030745,17436125,17575614,17669170,17880211,17885515,17932458,18166128,18864115,18962888,19059715,19674044,19816554,19824699,20039410,20304074,20436894,20518059,20565226,20644099,20923350,21170347,21203004,21333249,21421387,21462618,21966266,22238138,22318240,22378795,22636938,22787336,22871658,23972227,24047292,24763039,24908750,25108020,25297795,25396725,25635753,25647944,25690719,25880515,26176556,26407087,26662579,26719419,26781888,26854554,26946794,26959519,27061887,27089840,27725266,27820315,27966746,28853937,29005820,29112159,29491570,29840107,29890500,30022459,30129624,30357354,30474687,30476070,30535579,31056618,31380380,31883200,32145379,32507808,33294536,33333187,33384378,33396427,33453298,33551131,33895827,33982171,34000795,34349925,34608314,34806984,35206184,35227514,35375770,35389884,35553387,35868600,35923795,36152985,36251578,36499915,36571284,36639920,37395080,37456353,37633772,37656456,37696178,37724410,37880287,38065209,38072299,38259840,38272147,38495420,38532746,38563184,38574379,38673187,38905471,38912187,39157857,39183715,39495596,39606957,40352175,40800954,40810496,40917099,41219910,41916639,42069465,42249387,42363513,42407612,42450924,42581919,43042320,43108554,43194715,43208671,43339099,43383582,43799898,43967904,44096827,44446987,44471804,44874096,44908315,45131114,45244987,45269292,45315725,45455731,45478795,45786367,45911808,45921970,46051706,46194504,46770859,47020458,47377795,48422610,48774559,48894115,49187199,49212079,49463892,49646971,50045756,50069306,50170539,50325020,50483358,50551579,50566106,50596915,50785915,51493987,51521179,51650784,51788671,51833658,51968817,52122307,52216747,52347848,52437679,52485115,53242819,53434299,53681705,53888156,53889978,53992795,54355807,54378870,54503227,54557515,54574554,54851587,55024639,55046780,55058079,55106364,55247410,55309915,55617009,55638187,55738987,55855965,55927868,56422280,56729132,56853354,56884147,58004128,58049851,58107132,58111219,58161259,58567916,58611387,58672938,58891329,59579696,59907067,60038866,60108379,60390024,60716298,60773827,60943098,61198579,61479739,61499199,61556474,62052715,62707999,62982138,63216794,63475065,63793532,64418046,64473020,64736750,64763659,64791354,64839898,65004987,65218795,65254644,65259439,65469018,66056136,66210725,66296892,66371898,66464426,67027158,67173151,67706736,67775779,67938777,69239779,70108725,70302970,70408315,70671237,70828387,71527580,71632831,71766728,72319531,72897619,72991315,73326812,73445978,74091487,74313153,74463258,74716819,74782640,74910970,75217978,75259976,75382795,75752938,75894319,75956636,76061170,76170078,76372639,76688150,76983080,77162659,77313919,77367624,77684100,78027739,78262554,78359410,78597187,78682915,79008127,79074687,79382379,79452870,79512609,80610987,80729714,80737569,81541471,81556124,81787795,82090298,82334515,82408316,82447419,82863040,82877779,82937645,83021791,83978827,84130470,84132425,84363564,84489978,84667473,84749728,84806696,85335547,85490859,85548826,85833096,86281138,86332795,86399679,86603587,86605965,86866987,87004479,87038577,87157387,87198619,87589578,87710554,87937820,88170019,89083628,89739168,89807865,89809418,89866387,89893164,89980939,90290479,90459354,90486716,90578227,90868106,90914619,91273404,91365859,91833404,92025780,92077279,92113915,92195794,92276744,92379696,92482687,92486954,92706987,92957618,93220920,93227770,93995347,94031292,94194687,94419498,94450795,94586750,94949180,95343444,95380959,95407533,95559626,95651038,95663779,95795056,96174187,96256171,96562233,96858939,97354387,97496515,97675315,98145354,98160832,98381594,98426746,98767867,98801418,98913970,99032108,99435648,99525174,99664565,...,47890858979404450757932433530766406489028215807592545334987310260509986757470180566394934705707135731679383015761513447435772522283064451090959011922332565618576480516451157702858980799579016584976022098423449883010456874754335213456329972918448766604860937811970113420452669558120320210309303707166676946708760457116261990361835043748324110563649867593840162375415623485819250572913225268124771775978602039700277788746991631020413404606953858565203496327369736265484980424166972799348104106830799995345263643191596073974014443277395937845117076970088614936746515386081486708453290982808330472004798506770565170597933872247263143985855705785054652148468550731322983508592423795510181413932681495247810056014163855777635143616420716289789999320841584904788830544539901152195872779028762657266277263951850934233104513519168737469632593057820299445391052585026166658543321882718094661834518426416351734503150515717436397341490308084992674758520138143036156861375117152396722724085198834082782567942720491860631281181629313285320700152423675338196215684955342456434019595693743955142842654164345012018322577055021959466427576953278242052994847256767757791781742304309005417806638551837294665528546984954275923449666270950952349373107483617039259237926700836795506140651790785123972859285124533996213707015400110609390304667414593181826270369262321228340726039932802215694225684206273556916071133857086006614155131159462182221106410725983723170794215335601081813107543628739845966104458010033677084190672711355499920502239623686168785546028251500604769390204560683477415698481869833915453670506661591228507786005598613197949304757984826844490630714696472566260081592337599944324830351200225092712411605463111610712395327134010679146927004622840837803347587826551445010321259302311231469979508558138814570195150790914807241577417817834916133820040521415636258491706183046731841312133135966984301943331308286576318103931600915490212815363835905381655441996327840465372355413841877185567749691314166483102079656124823735757838416685358511915109435202559894140500182896648724862918221745257812582525155580252493959986928961070026005627372895233779150017006081198542400081643936737646663697475229121582596235326867064248082858163826320259865859918499577228040456419431841040659698401093080518987847793698780730113328414211783157259130151125700911895988230681261211573486081174563206534756161742867841167929661064929380895344429997815642197151587408536960321888084252399003494409960340649584743577682594334579274964451410763657237142399622172815018199163062663937520119564509580537557936632833304676091202429549740868619842659747431285828741916552420453412754355071884982308415313023008867946703222261859293415953492771652177691012891442409062148784119996729071080869347985595046353443231067955221886088903846798746662836936395767478992355883279546122288559870741913721191731166257667263270499860833231962258778278595558664155614424211588706963574421491639999197823699411458102890436054282705839548861417306910985034163156653013654250119635348614062552223793873268993222047555083981072050538669446595910623303505108307851930264368467551507454972498762777266909350037591938572310212166}
19950 245168945898956107682904125295398926119303446784611572446202341960611498: {259181,438614,458321,617489,736781,1116472,1155302,1173569,1213229,1256031,1495275,1514452,1594960,1648961,1767629,1794330,1913952,1925741,2123201,2153196,2162669,2346902,2596289,2710072,2714381,2950349,3048831,3107501,3421421,3773969,3891341,3930449,4164929,4245974,4399121,4594061,4749869,4938424,4944449,5177681,5294189,5440071,5555727,6277972,6476275,6802241,6872055,6917741,7186961,7302221,7330192,7417409,7671895,7762541,7771530,7781894,7992269,8175316,8183489,8246466,8289632,8433784,8641601,8662155,8755949,8984429,9098561,9206274,9239632,9325836,9326609,9420902,9478481,9488007,9781841,9887894,9895469,10068052,10122509,10160321,10394586,10613441,10914881,10959850,11027789,11065409,11174559,11178221,11928461,12190289,12377069,12750029,13047821,13151820,13159361,13187704,13246135,13307969,13493549,13669922,13827089,14028608,14196929,14270801,14750189,14836167,15081281,15113967,15216902,15249316,15485069,15521729,15782184,15811755,15851309,15895362,16033144,16348984,16472081,16592527,16727021,16799789,16831555,16865872,17264571,17489489,17754957,17815181,17887469,18037287,18060772,18392607,18428609,18536621,18651302,18788369,18923050,18974106,19106774,19505489,19528460,19541261,19648529,19862849,19938919,20197866,20242934,20575169,20764024,21601574,21672941,21849281,22053302,22377101,22441951,22517549,22707660,23043089,23147981,23357549,23359527,23434152,23531969,23703610,23880209,23909944,24054029,24221504,24592555,24975494,25402961,25422902,26124269,26363421,26422072,26432321,26432932,26466509,26503755,26534861,26773841,26898687,27249192,27357412,27488429,27556301,27658049,27861329,27897800,28064321,28270672,28444332,28484170,28503149,28570541,28616824,28873409,29007809,29074961,29132719,29309741,29510669,29511066,29711309,29724831,29978381,30059115,30182584,30411281,30456111,30495544,30655341,30805411,30847839,30909101,30966902,30975341,31008449,31372109,31385025,31570061,31626134,31804506,31997969,32059930,32063056,32193927,32686349,32720695,32949399,33045521,33175889,33357207,33477360,33663629,33742786,33858221,33862300,33955407,34117229,34181004,34254292,34307487,34311149,34408001,34685414,35468621,35564609,35625892,35709184,35788301,35806072,35987894,36070938,36075329,36082516,36257275,36329921,36361709,36520529,36995789,37018267,37280081,37363125,37469249,37658129,37662030,37689581,38160401,38442029,38471916,38816212,39006854,39096641,39225475,39251981,39264834,39376109,39623981,39650102,39716801,39854000,40087361,40118189,40172832,40281831,40302989,40420191,40476472,40487501,40632916,40634760,41222669,41375249,41408824,41587899,41618170,41679809,41771021,41784902,41831789,41950119,42104849,42286529,42739469,43010369,43130561,43220621,43270694,43343744,43508730,44007730,44087489,44237355,44355149,44473901,44512504,44835750,44977169,45194436,45242669,45360461,45536031,45591254,45595661,45714105,45799900,45804367,45947501,45976769,46011302,46409312,46473101,46584927,46734929,46743850,46851089,47042215,47070570,47169869,47186512,47404516,47545361,47685734,47824800,47890769,48119275,48203980,48492461,48635201,48749249,48761712,48834701,49369495,49402541,49487441,49572269,49685261,49941804,49995329,50076567,50179947,50208608,50248301,50332481,50416589,50444609,50593814,50753612,51013120,51114689,51170321,51531149,51697229,51780161,51882916,51912471,51945809,52132234,52210476,52242902,52495889,52523309,52809276,52841271,52858934,53009515,53063655,53084826,53097281,53423681,53477969,53640641,53721869,53802900,53884109,54288449,54369101,54377367,54395969,54401272,54556132,54856926,54903014,54931649,54958349,54959880,55198289,55357889,55517201,55570241,55589755,55888852,56092620,56125229,56332516,56450658,56484684,56544267,56586615,56601232,56775892,57016301,57094481,57172589,57389760,57478072,57562049,57743130,57794861,57799119,57844776,57949709,58001261,58078529,58399864,58617389,58623872,58947974,59076461,59243394,59254289,59349302,59832128,59835821,59950214,60087341,60137549,60359056,60363089,60463121,60538061,60886829,60961361,61201431,61215744,61592672,61653521,61829865,61943894,61948241,62021741,62144081,62315021,62363789,62461229,62557195,62646298,62693944,62795887,62801261,62906275,63115601,63611418,63676386,63955181,64121921,64383149,64563480,64662831,64667021,64879169,65075373,65301521,65371661,65434810,65582932,65604941,65674769,65699847,65852479,65883821,65951856,66161549,66276929,66346061,66369089,66707706,66894052,66965009,67101761,67170029,67311144,67360195,67644134,67696671,67848749,67903938,68226902,68319569,68520269,68614694,68675921,68808374,68808475,68867712,68882955,69052301,69077559,69111544,69291756,69338561,69601601,69776321,69909835,70059149,70254161,70513169,70527850,70530687,70835309,70911415,71006381,71070401,71155649,71245732,71283281,71389421,71453009,71579969,71853304,71917121,72022061,72210449,72505160,72606029,72633915,72651734,72730349,72766072,72854381,73032902,73209895,73410772,73475152,73511021,73633229,73937489,74078861,74119181,74156012,74195838,74205859,74420561,74474620,74680301,74740049,74779841,74859329,74958509,75068634,75103959,75307814,75333569,75487530,75549389,75725037,75725249,75803201,75804472,75849159,75919889,76248941,76249574,76383761,76422209,76499009,76671341,76785869,76957121,77014061,77051981,77466989,77476176,77616941,77750487,77859521,78148516,78230584,78450881,78505901,78521772,78560849,78634001,78688781,78725261,78852689,79214609,79483949,79501841,79644689,79715921,79741915,79751489,80034881,80165654,80193389,80520032,80560721,80591275,80742151,80769041,80832234,80834967,80855501,80955064,80958989,81233549,81257464,81568305,81590801,81861831,81994769,81998932,82078349,82128401,82374902,82427201,82570170,82624961,82641389,82659546,82723409,82741094,82871115,83211329,83324141,83596481,83820674,83891802,83929709,83976184,83992781,84040001,84071441,84228161,84275021,84415169,84633420,84647309,84816401,84877649,85093698,85242449,85280031,85408109,85468109,85677101,85721681,85766189,85781009,85890728,86002349,86010902,86119661,86163521,86265581,86381741,86388472,86425169,86526221,86551334,86673316,86698541,86912321,87006192,87082049,87160698,87236621,87292024,87292589,87571267,87625709,87776849,87790541,87851874,87899789,88009407,88074848,88164854,88237889,88358381,88395856,88464941,88495864,88504769,88715969,88781549,88833869,88990061,89052007,89183681,89286209,89362769,89369544,89409475,89439041,89565521,89603309,89678669,89708410,89778701,90058299,90088001,90149261,90275648,90331841,90343949,90452561,90476609,90512621,90548561,90585036,90596369,90632141,90809921,90828134,90880529,90904001,90985901,91074447,91286669,91355309,91389521,91400909,91414647,91525649,91570769,91658515,91727681,91761101,91838801,91860929,91884374,91960109,92003981,92058641,92091341,92328941,92334711,92393069,92509889,92604749,92871079,92926529,93038861,93170369,93260621,93370049,93458861,93478300,93517709,93556781,93576269,93615149,93663569,93731021,93750221,93874241,93893201,93959309,94074970,94090349,94182989,94201421,94228316,94238189,94265681,94320449,94328774,94429121,94473207,94563341,94722029,94739501,94825191,94945795,94946669,94997741,95099021,95107409,95199149,95224001,95452481,95635469,95643329,95666861,95690298,95712902,95806541,95936081,96026129,96048461,96070721,96210029,96228850,96231761,96246209,96417089,96459089,96466061,96590189,96603821,96627069,96671501,96709530,96751661,96791309,96869741,96902081,97091921,97105125,97116689,97165841,97187031,97208429,97226561,97259847,97363181,97403921,97438529,97557389,97601741,97607249,97688909,97779281,97815821,97846829,97857101,97872449,97881966,97892801,97967981,98007341,98070209,98164289,98191889,98203527,98205581,98264081,98272961,98329901,98393921,98476481,98492609,98551949,98571329,98575181,98628269,98661569,98676161,98719169,98740241,98821649,98838029,98932109,98941121,98958929,98961869,99021761,99035501,99059729,99070289,99075521,99084204,99093581,99101201,99108749,99159569,99191489,99193709,99211181,99238481,99248621,99265999,99266369,99272141,99284344,99294509,99320849,99369581,99373889,99380909,99394349,99402029,99411821,99413009,99423341,99444929,99445338,99458189,99462989,99465281,99466769,99473729,99475661,99482129,99485249,99486701,99487169,99489809,99492161,99499469,99557847,99640934,99696639,...,71836288469106676136898650296149609733542323711388818002480965390764980136205270849592402058560703597519074523642270171153658783424596676636438517883498848427864720774676736554288471199368524877464033147635174824515685312131502820184494959377673149907291406717955170130679004337180480315463955560750015420063140685674392985542752565622486165845474801390760243563123435228728875859369837902187157663967903059550416683120487446530620106910430787847805244491054604398227470636250459199022156160246199993017895464787394110961021664916093906767675615455132922405119773079122230062679936474212495708007197760155847755896900808370894715978783558677581978222702826096984475262888635693265272120899022242871715084021245783666452715424631074434684998981262377357183245816809851728293809168543143985899415895927776401349656770278753106204448889586730449168086578877539249987814982824077141992751777639624527601754725773576154596012235462127489012137780207214554235292062675728595084086127798251124173851914080737790946921772443969927981050228635513007294323527433013684651029393540615932714263981246517518027483865582532939199641365429917363079492270885151636687672613456463508126709957827755941998292820477431413885174499406426428524059661225425558888856890051255193259210977686177685959288927686800994320560523100165914085457001121889772739405553893481842511089059899203323541338526309410335374106700785629009921232696739193273331659616088975584756191323003401622719661315443109768949156687015050515626286009067033249880753359435529253178319042377250907154085306841025216123547722804750873180505759992386842761679008397919796923957136977240266735946072044708849390122388506399916487245526800337639068617408194667416068592990701016018720390506934261256705021381739827167515481888953466847204969262837208221855292726186372210862366126726752374200730060782123454387737559274570097761968199703950476452914996962429864477155897401373235319223045753858072483162994491760698058533120762815778351624536971249724653119484187235603636757625028037767872664152803839841210750274344973087294377332617886718873787733370378740939980393441605039008441059342850668725025509121797813600122465905106469995546212843682373894352990300596372124287245739480389798789877749365842060684629147761560989547601639620778481771690548171095169992621317674735888695226688551367843982346021891817360229121761844809802134242614301761751894491597394071343016644996723463295727381112805440482832126378598505241614940510974377115366523891501868912446677116145485855713599433259222527298744593995906280179346764370806336904949249957014136803644324611302929763989621146928743112874828630680119131532607827473462622969534513301920054833392788940123930239157478266536519337163613593223176179995093606621304021978392569530164846601932832829133355770198119994255404593651218488533824919319183432839806112870581787596749386500894905749791249847943388167417893337996233421636317383060445361632237459998796735549117187154335654081424058759323292125960366477551244734979520481375179453022921093828335690809903489833071332625971608075808004169893865934955257662461777895396552701327261182458748144165900364025056387907858465318249}
19951 246120194788833676324200792392028641563642733607677614354649532830511529: {39898,657921,976913,1395590,1674708,1732953,1893065,1993700,2271678,2371313,2392440,2551936,2691495,2849561,2870928,3229794,3387590,3520353,4065108,4321121,4822334,4919993,6173030,6368961,6413918,7188593,7253428,7379561,7407636,7847465,8084678,8326142,8804198,9162740,9416958,10219145,10362040,10542230,10995288,11539241,11549540,11657295,11672841,11907974,12153401,12262974,12275032,12369699,12434448,12585065,12650676,12863798,13809411,13859448,13988754,14029001,14131353,14305361,14540321,14757638,14831841,14899412,15102078,15495089,15591879,15953201,16249313,16439775,16484630,16927241,17259209,17535760,17882009,18168521,18337241,19061645,19113329,19727730,19781556,20041430,20151956,20436230,20504883,20567294,20921201,21042912,21082340,21172481,21193816,22575965,22628513,22825353,22873974,23019428,23119313,23673276,23843043,24049716,24304358,24410575,24523476,24647501,24736838,25019501,25039721,25298808,25955030,26409761,26683601,26792489,26930488,27091158,27678761,27728054,27873401,27976953,28055174,28384575,28461159,28660161,29077718,29292690,29799353,29887430,30275729,30276880,30296799,30364401,30605801,30987062,31032254,31146036,31245536,31330313,32402361,32641481,33027590,33041165,33079953,33456662,33554513,33851078,34061490,34196765,34548713,34872250,35025521,35134109,35151228,35265581,35338340,35416913,35460161,35555415,35760422,35771030,35864916,36232721,36325769,36332256,37463241,37728230,37925776,38119430,38134353,38947421,38948441,39340169,39348088,39633108,39649398,40078820,40139081,40608148,40873788,41036118,41130452,41234681,41288198,41846700,42327875,42340694,42406008,42551393,42666498,42726255,42817865,42842774,42925236,43932532,44266599,44476276,44532365,44636480,44757590,44808221,45103145,45273876,45460313,45574672,45743316,45979193,46450353,47439201,47601113,47706759,47944454,48089895,48094584,48365801,48520265,48590609,49284689,49526078,49686233,49817500,50216040,50293313,50595590,50614179,50791145,50793450,51064793,51099881,51271506,51295888,51381438,51761030,52028121,52127561,52222049,52273313,52353112,52784813,52814174,53325158,53438838,53563776,53590541,53709108,53893588,53919038,53981841,54106407,54111161,54123774,54179680,54508721,54857201,55450532,55640630,55933492,56493045,56889881,57161921,57249875,57707874,57838721,58011640,58224318,58510281,58673693,58897251,58983140,59199353,59255645,59475153,59680214,59781000,60044918,60254975,60259248,60472601,60714708,60779981,60949374,60952140,61071158,61204793,61710701,62053289,62113236,62427255,62628893,62677353,62760760,62871641,63442015,63670313,63766400,64238681,64290758,64853645,64906041,64947833,65015616,65263095,65719721,65754221,66011595,66328913,66589072,66666374,66768756,66792854,66906596,67102262,67179953,67253625,67791654,67923689,67964342,68001590,68195165,68386881,68451761,68685521,68699850,69016953,69216628,69613968,69861065,70115775,70412368,70415645,70455028,70605855,70751540,70779768,70799261,70835681,70969865,71100281,71106774,71396369,71528601,71737200,71847590,72305970,72382913,72503156,72668321,72999830,73142568,73279840,73479161,74041181,74790160,74912706,75154387,75267544,75312912,75392356,75448820,75589913,75760574,75847313,75890721,76130418,76144598,76380521,76519680,76544294,76990840,77065492,77126368,77148758,77346374,77433881,77810942,77824374,77925041,78198351,78315714,78364353,78367430,78796301,78991192,79213914,79288401,79627239,80704350,81601908,81620992,81834198,81978665,82285389,82354521,82439820,82787981,82982153,83507033,83617565,83833278,84138930,84498774,84675987,84727026,84815224,84901848,85163838,85344281,85360433,85836089,86084640,86217108,86389430,86417342,86614695,86678198,86767164,86873801,87207473,87599796,87869969,87935808,88193654,88421961,88490669,88865091,88893974,88943608,89023953,89057165,89748192,89816630,89925321,90262228,90489974,90538584,90631450,90911462,90957590,91104401,91306313,91572734,91763465,91823616,91843940,92103412,92348393,92389008,92695015,92911841,92915841,93093275,93373241,93400793,93541718,93858689,93969447,94040916,94170329,94250441,94755590,95417127,95514579,95686601,95856641,96186521,96367193,96845220,97549118,97685645,97788230,97941041,98152215,98374398,98424158,98571641,98927784,99196361,99293942,...,95781717958808901515864867061532812978056431615185090669974620521019973514940361132789869411414271463358766031523026894871545044566128902181918023844665131237152961032902315405717961599158033169952044196846899766020913749508670426912659945836897533209721875623940226840905339116240640420618607414333353893417520914232523980723670087496648221127299735187680324750831246971638501145826450536249543551957204079400555577493983262040826809213907717130406992654739472530969960848333945598696208213661599990690527286383192147948028886554791875690234153940177229873493030772162973416906581965616660944009597013541130341195867744494526287971711411570109304296937101462645967017184847591020362827865362990495620112028327711555270287232841432579579998641683169809577661089079802304391745558057525314532554527903701868466209027038337474939265186115640598890782105170052333317086643765436189323669036852832703469006301031434872794682980616169985349517040276286072313722750234304793445448170397668165565135885440983721262562363258626570641400304847350676392431369910684912868039191387487910285685308328690024036645154110043918932855153906556484105989694513535515583563484608618010835613277103674589331057093969908551846899332541901904698746214967234078518475853401673591012281303581570247945718570249067992427414030800221218780609334829186363652540738524642456681452079865604431388451368412547113832142267714172013228310262318924364442212821451967446341588430671202163626215087257479691932208916020067354168381345422710999841004479247372337571092056503001209538780409121366954831396963739667830907341013323182457015572011197226395898609515969653688981261429392945132520163184675199888649660702400450185424823210926223221424790654268021358293854009245681675606695175653102890020642518604622462939959017116277629140390301581829614483154835635669832267640081042831272516983412366093463682624266271933968603886662616573152636207863201830980425630727671810763310883992655680930744710827683754371135499382628332966204159312249647471515676833370717023830218870405119788281000365793297449725836443490515625165050311160504987919973857922140052011254745790467558300034012162397084800163287873475293327394950458243165192470653734128496165716327652640519731719836999154456080912838863682081319396802186161037975695587397561460226656828423566314518260302251401823791976461362522423146972162349126413069512323485735682335859322129858761790688859995631284394303174817073920643776168504798006988819920681299169487155365188669158549928902821527314474284799244345630036398326125327875040239129019161075115873265666609352182404859099481737239685319494862571657483833104840906825508710143769964616830626046017735893406444523718586831906985543304355382025782884818124297568239993458142161738695971190092706886462135910443772177807693597493325673872791534957984711766559092244577119741483827442383462332515334526540999721666463924517556557191117328311228848423177413927148842983279998395647398822916205780872108565411679097722834613821970068326313306027308500239270697228125104447587746537986444095110167962144101077338893191821246607010216615703860528736935103014909944997525554533818700075183877144620424332}
19952 247075108516029122184136884343724584493738963659462676256483994636102248: {59847,518362,877228,916642,1213351,1234978,1473562,2093385,2162887,2232944,2310604,2347138,2426458,2492125,2512062,2754007,2989951,2990550,3028904,3189920,3297922,3407517,3535258,3588660,3813487,3827904,3851482,3930847,4246402,4306392,4325338,4693804,4844691,5081385,5192578,5333551,5420144,5428762,5900698,6097662,6215002,6841447,6842842,7233501,7547938,7782682,7860898,7993087,8222551,8329858,8491948,8798242,9023407,9066785,9188122,9259545,9499738,9620877,9876848,9888898,10161367,10355362,10588378,10740653,10880142,11066551,11111454,11453425,11967127,12127017,12415687,12489213,12555944,12952550,13206297,13604482,13744110,13835482,14087527,14125437,14198407,14373922,14436925,14604442,14660384,14751727,14834818,15343790,15523351,15525082,15543060,15563788,15813345,15984538,16350632,16366978,16492932,16579264,16837927,16867568,17283202,17324310,17511898,17861961,17968858,18197122,18394461,18412548,18479264,18544589,18624265,18651672,18653218,18841804,18956962,18976014,19295697,19543327,19563682,19650607,19775788,19790938,20136104,20245018,20320642,20612887,20789172,20983131,21226882,21829762,21919700,22055578,22130818,22136457,22349118,22356442,22653117,23564177,23856922,24091351,24380578,24726945,24754138,25189945,25500058,25955647,26095642,26303640,26318722,26352925,26375408,26469367,26492270,26512189,26615938,26981287,26987098,27185551,27339844,27654178,28057216,28393858,28541602,28774285,29500378,29591595,29672334,30062145,30162562,30227934,30414607,30433804,30498632,30654345,30850941,30970138,31011847,31043458,31408567,31564368,31623510,31702618,31705351,31790724,31902847,32066288,32395327,32697968,32944162,33179551,33185054,33454042,33599578,33663110,33731744,34310961,34429577,34529142,34978978,35509914,35630362,35774938,35792287,36074574,36121544,36365767,36456537,36785214,36857218,37073242,37105257,37302604,37315807,37576738,37693807,37846100,37948212,38213548,38446351,38932545,39010978,39056920,39082522,39101047,39297058,39659407,39725698,39877838,40122727,40395732,40485868,40492087,40636737,40961041,41150338,41528048,41592081,41684551,41866927,42082761,43203148,43345882,43616577,43674847,43698562,43748861,43939035,43943551,44106604,44172925,44389951,44754202,44831145,44883902,45011887,45035098,45415320,45808973,45982087,46086178,46295962,46480593,46548381,46715098,46719054,46769407,46868304,47063938,47291047,47407220,47760418,47819888,48108058,48443008,49185110,49541385,49950988,50098525,50184993,50450551,50760185,50776617,50805922,50845804,51092235,51413065,51537247,52248538,52308375,52364887,52529551,52726842,52844144,52864642,52865864,52933018,53007510,53069722,53547682,53640633,53656545,53797374,54321847,54402487,54498384,54714824,54915665,54964951,54976858,55112602,55204927,55316098,55595345,55722658,55795600,56128642,56158351,56541344,56592345,56709727,56888664,56968340,57006298,57141082,57179145,57233648,57569047,57746818,58015618,58111351,58149922,58265438,58496551,58619482,58650127,59021338,59022132,59032807,59422618,59449662,59474097,59956762,60118230,60365168,60822562,60912222,60991088,60993727,61310682,61554177,61610822,61695678,61818202,61932297,61933804,61950682,62016898,62271875,62469007,62744218,62770050,62833327,63140122,63252268,63511041,63609012,63995938,63999747,64119860,64126112,64264161,64387854,64414951,64910887,65333167,65372698,65441390,65859101,65898798,66091042,66351778,66377527,66714414,66954720,66996367,67136385,67327258,67366985,67485572,67716442,67724600,67910814,68234458,68362008,68508584,68614974,68622298,68816002,68884351,69117293,69313165,69370828,69676207,69916865,70198351,70522351,70651447,70844551,70937242,71037007,71129218,71251784,71292607,71418368,71576602,71612144,71916681,71975788,72141876,72150658,72165032,72303487,72514550,72659842,72723418,72864007,73041058,73049551,73357351,73728925,73991578,74036534,74213321,74289117,74450527,74560162,74726250,74938498,74988367,75316258,75324060,75379162,75754951,75893385,76190175,76320802,76884058,76907259,76943832,77072157,77632424,77641545,77825657,77870167,78013708,78193282,78450950,78503962,78529668,78752218,78754327,79026847,79221261,79247962,79300204,79433602,79512847,79673551,79708000,79987737,80046007,80158257,80174722,80236378,80345664,80563662,80605978,80840382,80878557,80884087,80952944,80975002,81185661,81244951,81265832,81269520,81905767,82445338,82653127,82750498,82751551,82817648,83093767,83175798,83236340,83336047,83359618,83460945,83542042,83569804,83633245,83663578,83900238,84209698,84287167,84333967,84573058,84659551,84981607,85478938,85480567,85793551,86020738,86261122,86441242,86452351,86520785,86541388,86561811,86687488,87017460,87336477,87580073,87803647,87926551,88015460,88068785,88174978,88439425,88474710,88531351,88710298,88808047,88947802,89003527,89025008,89312551,89389087,89520321,89671500,89954338,90067377,90357847,90388872,90485338,90628945,90720922,91072062,91182508,91191322,91415167,91424061,91428210,91599800,91606737,91608734,91886407,91895002,91953538,92022604,92535127,92629951,92724127,92818624,92941351,92946202,93169854,93469858,93487700,93688351,93702178,93746167,94084430,94141140,94240445,94304273,94311025,94335847,94339738,94373024,94525351,94737607,94809032,95090722,95123167,95371468,95588287,95649600,95659351,95781538,95959807,96238550,96331865,96398287,96407960,96436137,96440551,96482527,96586207,96984922,97225351,97270402,97498498,97523424,97624447,97669402,97689967,97738351,97873769,97925407,98087767,98144647,98186551,98227807,98347687,98593207,98650087,98661247,98669329,98737351,98738990,98805082,98888551,98916847,98974882,98980351,99144538,99212551,99232207,99275981,99370522,99393127,99401551,99413647,99432367,99493351,99506887,99511927,99883608,99990658,99999561,...,143672576938213352273797300592299219467084647422777636004961930781529960272410541699184804117121407195038149047284540342307317566849193353272877035766997696855729441549353473108576942398737049754928066295270349649031370624263005640368989918755346299814582813435910340261358008674360960630927911121500030840126281371348785971085505131244972331690949602781520487126246870457457751718739675804374315327935806119100833366240974893061240213820861575695610488982109208796454941272500918398044312320492399986035790929574788221922043329832187813535351230910265844810239546158244460125359872948424991416014395520311695511793801616741789431957567117355163956445405652193968950525777271386530544241798044485743430168042491567332905430849262148869369997962524754714366491633619703456587618337086287971798831791855552802699313540557506212408897779173460898336173157755078499975629965648154283985503555279249055203509451547152309192024470924254978024275560414429108470584125351457190168172255596502248347703828161475581893843544887939855962100457271026014588647054866027369302058787081231865428527962493035036054967731165065878399282730859834726158984541770303273375345226912927016253419915655511883996585640954862827770348998812852857048119322450851117777713780102510386518421955372355371918577855373601988641121046200331828170914002243779545478811107786963685022178119798406647082677052618820670748213401571258019842465393478386546663319232177951169512382646006803245439322630886219537898313374030101031252572018134066499761506718871058506356638084754501814308170613682050432247095445609501746361011519984773685523358016795839593847914273954480533471892144089417698780244777012799832974491053600675278137234816389334832137185981402032037440781013868522513410042763479654335030963777906933694409938525674416443710585452372744421724732253453504748401460121564246908775475118549140195523936399407900952905829993924859728954311794802746470638446091507716144966325988983521396117066241525631556703249073942499449306238968374471207273515250056075535745328305607679682421500548689946174588754665235773437747575466740757481879960786883210078016882118685701337450051018243595627200244931810212939991092425687364747788705980601192744248574491478960779597579755498731684121369258295523121979095203279241556963543381096342190339985242635349471777390453377102735687964692043783634720458243523689619604268485228603523503788983194788142686033289993446926591454762225610880965664252757197010483229881021948754230733047783003737824893354232290971711427198866518445054597489187991812560358693528741612673809898499914028273607288649222605859527979242293857486225749657261360238263065215654946925245939069026603840109666785577880247860478314956533073038674327227186446352359990187213242608043956785139060329693203865665658266711540396239988510809187302436977067649838638366865679612225741163575193498773001789811499582499695886776334835786675992466843272634766120890723264474919997593471098234374308671308162848117518646584251920732955102489469959040962750358906045842187656671381619806979666142665251943216151616008339787731869910515324923555790793105402654522364917496288331800728050112775815716930636498}
19953 248033701100415335641383041998790281109439743884167787613409376013763255: {79796,777543,1096535,1315842,1374963,1852467,1953826,2210343,2650291,2791180,2888255,3349416,3367663,3465906,3520707,3639687,3768093,3786130,3987400,4485825,4543356,4742626,4784880,4946883,5039507,5103872,5302887,5382990,5699122,5741856,5756591,5777223,5867255,6352247,6369603,6459588,6488007,6775180,7040706,7785983,7788867,8130216,8143143,8642242,8851047,9146493,9322503,9644668,9839986,10264263,10614935,10986451,11321907,11595287,11674023,11791347,12346060,12494787,12737922,12827836,13197363,13782183,14249607,14306803,14377186,14506856,14759122,14815272,14833347,15533043,15694930,15882567,15891311,16169356,16250947,16320213,16652284,16667181,17608396,17619091,18325480,18755327,18833916,18853783,19115251,19428825,19436087,19454735,20397247,20406723,20438290,20616165,20724080,20753223,21084460,21560883,21906663,21990576,22043351,22252227,23015685,23078482,23099080,23287623,23314590,23345682,23552255,23815948,23976807,24306802,24525948,24550064,24550467,24719735,24739398,24868896,25022023,25170130,25290691,25301352,25727596,25924803,25986465,26267847,26686303,26953287,27295683,27399625,27547207,27618822,27718896,27977508,27979827,28012583,28058002,28262706,28435443,28464021,28610722,29080642,29345523,29515276,29663682,29686407,29798824,30204156,30367527,30480963,30990178,31183758,31606351,31840323,31906402,32440727,32498626,32711263,32744643,32879550,32969260,33083367,33196227,33523677,33534663,33854482,34174805,34518418,35071520,35764018,35780407,35785383,36337042,36570867,36674482,36734083,37131207,37557151,38042255,38123290,38226658,38250087,38913347,39143463,39455460,39478083,39563112,39738405,39923907,40082860,40303912,40480647,40614527,40872460,40877327,41009766,41134588,41481267,41496851,41842402,41907463,42085824,42164680,42344962,42387632,42590787,42812403,44250567,44508501,45151930,45243843,45257026,45341901,45650706,45747948,46038856,46238626,46257631,46455207,46492927,46565187,46628255,47307625,47346552,47435265,47553927,47686086,47757287,47766935,47875471,48024407,48099432,48595507,48608716,48821150,49046952,49295002,49416243,49453823,49473676,49777581,50039002,50079442,50181063,50399367,50494665,50514167,50597616,50607335,51793713,51910060,52468467,52819522,53264871,53367202,53445543,53584978,53595943,53662407,53860976,54003935,54111861,54182316,55133255,55177821,55285827,55357522,55456108,55609863,55746802,55953906,56110348,56365107,56769150,56922318,57159583,57167683,57320322,57757151,58122983,58155436,58516467,58585380,58623783,58945587,58994791,59259025,59588547,59598706,59774860,59816757,59945011,60551458,60553760,60593598,60728802,60772151,61211602,61716967,61725507,61974124,62042807,62064508,62292072,62345311,62367743,62438735,62491072,62660626,63144403,63282067,63557255,64804722,65018823,65282962,65547843,66055180,66082330,66105911,66159906,66913324,66948127,67109026,67131303,67325853,67552647,67702156,67928371,67930567,68122980,68393530,69097426,69129267,69443943,69744500,70051042,70072647,70078581,70268218,70302456,70531162,70595907,70676680,70833826,70920322,71107603,71110830,71130391,71210425,71520844,71542060,71640627,71729832,72162087,72465442,72651538,72664512,73777665,74926482,75193607,75456460,75507343,75851552,75909683,76057031,76208883,76238860,76268706,77333267,77417255,77894842,77896882,78372807,78680338,78696176,79065335,79090263,79266216,79296963,79298796,79399527,79511265,79604583,80028911,80149825,80157640,80278162,80321523,80696061,81216296,81314867,81747576,82072236,82260904,82402067,82465287,82469362,82576396,82640023,82668903,82957903,82974147,83583987,83667287,83693400,84192963,84356965,84377527,84655750,84681388,84812016,85102786,85332996,85452510,85509447,85635730,85685548,85711623,85850472,85880743,86195351,86620227,86713427,86713535,87023427,87224883,87398157,87865064,87929223,88254007,88532007,88533198,88818821,88952552,88967491,89064730,89133927,89174493,89272960,89515180,89616442,89935143,89969735,90177345,90206290,90547752,90795103,90920626,91149344,91233843,91368333,91486632,91958386,91966023,92416233,92543517,92727303,92807287,92900706,92926023,93025347,94116327,94155075,94710183,94878402,95202226,95413518,95473231,95478847,95888908,95993907,96179790,96189168,96581781,96731602,96905383,97040530,97181218,97517135,97805491,98059047,98162085,98569378,98581903,98848197,99052156,99090767,99125255,99136563,99357811,99372466,99527667,99635000,99842227,...,215508865407320028410695950888448829200626971134166454007442896172294940408615812548777206175682110792557223570926810513460976350273790029909315553650496545283594162324030209662865413598105574632392099442905524473547055936394508460553484878133019449721874220153865510392037013011541440946391866682250046260189422057023178956628257696867458497536424404172280730689370305686186627578109513706561472991903709178651250049361462339591860320731292363543415733473163813194682411908751377597066468480738599979053686394362182332883064994748281720303026846365398767215359319237366690188039809422637487124021593280467543267690702425112684147936350676032745934668108478290953425788665907079795816362697066728615145252063737350999358146273893223304054996943787132071549737450429555184881427505629431957698247687783329204048970310836259318613346668760191347504259736632617749963444948472231425978255332918873582805264177320728463788036706386382467036413340621643662705876188027185785252258383394753372521555742242213372840765317331909783943150685906539021882970582299041053953088180621847798142791943739552554082451596747598817598924096289752089238476812655454910063017840369390524380129873483267825994878461432294241655523498219279285572178983676276676666570670153765579777632933058533057877866783060402982961681569300497742256371003365669318218216661680445527533267179697609970624015578928231006122320102356887029763698090217579819994978848266926754268573969010204868158983946329329306847470061045151546878858027201099749642260078306587759534957127131752721462255920523075648370643168414252619541517279977160528285037025193759390771871410931720800207838216134126548170367165519199749461736580401012917205852224584002248205778972103048056161171520802783770115064145219481502546445666860400541614907788511624665565878178559116632587098380180257122602190182346370363163212677823710293285904599111851429358744990887289593431467692204119705957669137261574217449488983475282094175599362288447335054873610913749173959358452561706810910272875084113303617992458411519523632250823034919261883131997853660156621363200111136222819941180324815117025323178028552006175076527365393440800367397715319409986638638531047121683058970901789116372861737218441169396369633248097526182053887443284682968642804918862335445315071644513285509977863953024207666085680065654103531947038065675452080687365285534429406402727842905285255683474792182214029049934990170389887182143338416321448496379135795515724844821532923131346099571674505606737340031348436457567140798299777667581896233781987718840538040293112419010714847749871042410410932973833908789291968863440786229338624485892040357394597823482420387868908603539905760164500178366820371790717472434799609558011490840779669528539985280819863912065935177708590494539805798498487400067310594359982766213780953655465601474757957550298519418338611745362790248159502684717249373749543830164502253680013988700264908952149181336084896712379996390206647351561463006962244272176277969876377881099432653734204938561444125538359068763281485007072429710469499213997877914824227424012509681597804865772987385333686189658103981783547376244432497701092075169163723575395954747}
19954 248995986615120087814333417742943757212173432265694789551413594393783337: {99745,119694,338929,816433,1036724,1754456,1833284,1973763,2005153,2242033,2426702,2469956,2930739,2947124,3488975,3774733,4186770,4325774,4465888,4478029,4621208,4694276,4852916,4984250,5024124,5062129,5198859,5508014,5679195,5760673,5979902,5981100,6057808,6379840,6595844,6815034,7070516,7113939,7177320,7495693,7626974,7655808,7702964,7840753,7861694,8074485,8468975,8492804,8548683,8612784,8650676,9387608,9556333,9689382,10124593,10162770,10385156,10561059,10667102,10840288,10857524,10917133,11801396,12055835,12195324,12430004,12603553,12693499,12963363,13682894,13685684,14273773,14467002,14759979,14826913,15095876,15268129,15432575,15565364,15721796,15986174,16034795,16445102,16659716,16803313,16983896,17596484,17891233,18046814,18107953,18133570,18376244,18519090,18999476,19106883,19241754,19753696,19777796,20211695,20322734,20710724,20815355,21176756,21481306,21565779,21642253,21760284,22010495,22133102,22138683,22170913,22222908,22906850,22908013,23542395,23934254,23954893,24254034,24831374,24978426,25111888,25305073,25408429,25905100,26073971,26355575,26412594,26540593,26847853,27208964,27488220,27562273,27670964,27867373,28175054,28250874,28396814,28576753,28747844,28873850,29081293,29208884,29320768,29383153,29503454,29584033,29669636,29769935,30484429,30657435,30687580,30982129,31046702,31050164,31086120,31127576,31332587,31378993,31626690,31969076,32159495,32701264,32733956,32856973,32985864,33052813,33158528,33675854,33735136,33930529,34415629,34512433,34566404,34617723,34648620,34971885,35018523,35023796,35265923,35476513,35723922,35860129,35937716,36394244,36460203,36788922,36825096,36894095,36909133,36958528,37089178,37109097,37248530,37303344,37306436,37683608,37755195,37913924,37952028,38591394,39086654,39127364,39167629,39301214,39551576,39581876,40188913,40272208,40283999,40490036,40558129,40641284,41211575,41225774,41428233,41476129,41578344,41841313,41966262,42087003,42394059,42453764,42916083,43290529,43620963,43659524,43839400,44111156,44261636,44272914,44495523,44698236,44712884,45306234,45429793,45606193,45779987,46045933,46485267,46775637,47128354,47713844,47859603,48182702,48408503,48560929,48747939,48761156,48903073,49319325,49453890,49508276,49838029,50103575,50379890,50781723,51000116,51015373,51090575,51182413,51418235,51777627,51911294,52013293,52191284,52607280,52637444,52705850,52750816,52938734,52984540,53024378,53164429,53231876,53490733,53646027,53962574,53974196,54301453,54371102,54505563,54679688,55011723,55264813,55308356,55583629,56114432,56375629,56787716,57082273,57083204,57160429,57184935,57339987,57548570,57938029,58015393,58785073,59000756,59183190,59344668,60124290,60152353,60325124,60455868,60760895,60829214,60867608,60901873,60976429,60997264,61308690,61514649,61701882,61842095,61940276,62012653,62023694,62086916,62159533,62379313,62763603,62817134,63128736,63179629,63247020,63405236,63410702,63517443,63581448,63805694,64132576,64683313,64790654,64887575,65395936,65668129,65888324,66359102,66362929,66370108,66908084,66982093,67118893,67199156,67326220,67463488,67727895,67885539,68135713,68476059,68621922,68859154,69058284,69070129,69320135,69334513,69357939,69466273,69957956,70137935,71019828,71064259,71260724,71529129,71549876,71584574,71598733,71914993,71978291,72149148,72243088,72666673,72694295,72731534,72913074,72914929,73231725,73469293,73530529,73570428,73714436,73942503,74138929,74146484,74210514,74605208,74631614,74718575,74799853,75058503,75119163,75153476,75387614,75628429,75692200,75896424,76427096,76442893,76881931,76892702,77016013,77072929,77467655,77580635,77638129,77833483,77865090,77973793,78021956,78113840,78165044,78202094,78527473,78594116,78746929,79229283,79318814,79451396,79559629,79755676,79773613,80050803,80245454,80377467,80791464,80826253,80971736,80984174,81273474,81341773,81922082,82101553,82300676,82568975,82648429,82894129,82943053,83036283,83056096,83184162,83369102,83620203,83620429,83641655,83733854,83930859,84095629,84142753,84165522,84610033,84627695,85070113,85153725,85252129,85297453,85383477,85702129,85746733,85980483,86406296,86691764,87180625,87233154,87349694,87388333,87397124,87497722,87878070,87887102,88213208,88345850,88779902,89042929,89389933,89398059,89401055,89427575,89466253,89508404,89618029,89655793,89662290,89767804,90023774,90070196,90140173,90176929,90359629,90504493,90683953,90755233,90827187,90830640,90890397,90932173,91093203,91617946,91817403,91889773,91964174,92172356,92282893,92411629,92591924,92961186,93096762,93159853,93190129,93310513,93430196,93438108,93488929,93538814,93606433,93736608,93780529,93923629,93990939,94127876,94232113,94313779,94314733,94320575,94369453,94478029,94582094,94612129,94770673,94814440,94978033,95029153,95155693,95298575,95520836,95639776,95968429,96103213,96191629,96216116,96278893,96512929,96636913,96718129,96886016,97038431,97207083,97484173,97860913,97883611,97891873,97924443,98012833,98114893,98240929,98295073,98308429,98370220,98487853,98679251,98894113,98968993,99082770,99112813,99123495,99136033,99239859,99280429,99304333,99310129,99332593,99415213,99485773,99505933,99510253,99524653,99532429,99901976,...,287345153876426704547594601184598438934169294845555272009923861563059920544821083398369608234242814390076298094569080684614635133698386706545754071533995393711458883098706946217153884797474099509856132590540699298062741248526011280737979837510692599629165626871820680522716017348721921261855822243000061680252562742697571942171010262489944663381899205563040974252493740914915503437479351608748630655871612238201666732481949786122480427641723151391220977964218417592909882545001836796088624640984799972071581859149576443844086659664375627070702461820531689620479092316488920250719745896849982832028791040623391023587603233483578863915134234710327912890811304387937901051554542773061088483596088971486860336084983134665810861698524297738739995925049509428732983267239406913175236674172575943597663583711105605398627081115012424817795558346921796672346315510156999951259931296308567971007110558498110407018903094304618384048941848509956048551120828858216941168250702914380336344511193004496695407656322951163787687089775879711924200914542052029177294109732054738604117574162463730857055924986070072109935462330131756798565461719669452317969083540606546750690453825854032506839831311023767993171281909725655540697997625705714096238644901702235555427560205020773036843910744710743837155710747203977282242092400663656341828004487559090957622215573927370044356239596813294165354105237641341496426803142516039684930786956773093326638464355902339024765292013606490878645261772439075796626748060202062505144036268132999523013437742117012713276169509003628616341227364100864494190891219003492722023039969547371046716033591679187695828547908961066943784288178835397560489554025599665948982107201350556274469632778669664274371962804064074881562027737045026820085526959308670061927555813867388819877051348832887421170904745488843449464506907009496802920243128493817550950237098280391047872798815801905811659987849719457908623589605492941276892183015432289932651977967042792234132483051263113406498147884998898612477936748942414547030500112151071490656611215359364843001097379892349177509330471546875495150933481514963759921573766420156033764237371402674900102036487191254400489863620425879982184851374729495577411961202385488497148982957921559195159510997463368242738516591046243958190406558483113927086762192684380679970485270698943554780906754205471375929384087567269440916487047379239208536970457207047007577966389576285372066579986893853182909524451221761931328505514394020966459762043897508461466095566007475649786708464581943422854397733036890109194978375983625120717387057483225347619796999828056547214577298445211719055958484587714972451499314522720476526130431309893850491878138053207680219333571155760495720956629913066146077348654454372892704719980374426485216087913570278120659386407731331316533423080792479977021618374604873954135299677276733731359224451482327150386997546003579622999164999391773552669671573351984933686545269532241781446528949839995186942196468748617342616325696235037293168503841465910204978939918081925500717812091684375313342763239613959332285330503886432303232016679575463739821030649847111581586210805309044729834992576663601456100225551631433861272996}
19955 249961979186726892651165896259629403651206518543814645710088011904450088: {159592,179541,1295905,1535149,1555086,2193070,2291605,2631684,2749926,3087445,3640053,3683905,3704934,3726349,3907652,4043557,4420686,5300582,5582360,5776510,5867845,5955781,6066145,6280155,6433837,6488661,6698832,6735326,6790333,6931812,7041414,7279374,7476375,7507201,7536186,7572260,7974800,8214157,8244805,8262021,8701981,8838145,8969853,8971650,9086712,9485252,9569760,9628705,9893766,10079014,10207744,10222551,10605774,10616005,10765980,10813345,11398244,11440461,11483712,11513182,11554446,11596453,11734510,11792541,12704494,12739206,12919176,12976014,12981445,13550360,13571905,13703521,14081412,14534073,14751745,14860909,15244155,15537505,15571966,15577734,15892909,16000653,16260432,16286286,17107105,17284484,17702094,17760877,18133093,18292986,18645006,18757213,18869845,19289336,19456705,19652245,19670221,19679972,20524341,20528526,20824645,21229870,21340897,21700503,21972902,21995605,22045573,22479853,22643814,22969921,22970305,23190574,23348046,23582694,23749345,23979261,23979469,24667653,24692120,24722245,24989574,25475844,25655672,25888405,26051233,26394726,26470945,27070221,27200355,27236629,27564366,27778635,28499214,28550533,28613606,28754372,28862631,29013712,29518244,29630544,29666694,30484101,31066086,31308181,31389860,31765134,31782622,32221959,32338712,32381375,32433013,32501894,32640426,32717809,32876173,32973157,33199653,33304568,33334362,33992437,34011205,34360275,34588705,34607629,35216792,35238182,35901381,35934805,36072901,36330349,36381051,36511105,36650960,37087045,37247061,37467639,37510654,37667832,37707566,38230502,38283709,38339041,38359475,38812705,38857650,38872174,38909470,39348133,39618891,39961345,40618621,40794494,40813446,40876580,40917445,41232330,41448160,41501053,41506446,41931373,42028801,42168920,42262581,42376311,42595221,43121766,43157953,43208005,43310775,43696453,43779745,43813326,43872949,43981152,44086702,44255181,44504454,44922145,45492805,45988501,46031370,46116529,46156964,46198160,46570053,46575246,46629180,46633045,46691364,47104510,47392405,47440035,47631896,47762101,47844727,47953614,48613604,48909205,49041733,49051896,49100128,49100934,49233349,49439470,49477345,49478796,49652353,49737792,50044046,50340260,50367061,50513781,50581382,50602704,50612545,50801605,51050893,51455192,51509581,51849606,51972930,52535694,53067205,53259157,53372606,53585883,53906574,54574405,54591366,54799250,55094414,55138945,55183383,55237644,55327045,55437792,55633767,55655149,55872795,55891105,55955016,55959654,56025166,56116004,56525412,56870886,56928042,56937133,57221444,57762973,57887091,58161284,58629981,58691046,58951821,59030552,59327364,59372814,59384113,59597648,59642305,59660413,59698561,60126637,60408312,60574573,60735054,60951445,60961926,61204693,61498357,61838661,61885345,61980356,62049061,62367516,62479309,62949393,63212702,63278221,63680646,63750145,63812804,64145953,64881454,64927201,64960981,64997252,65239105,65279557,65422526,65489286,65759100,65796805,65938520,66166734,66230675,66392454,66409371,66539845,66777037,66873709,67047354,67069326,67467745,67708964,67959351,68349610,69036836,69135445,70143040,70692531,70760749,70850269,70984645,71354005,71528036,71560814,71570766,71821633,72274053,72674084,73141734,73348964,73468166,73750945,73883077,74180835,74262414,74801749,75114302,75406405,75569835,75605509,76084510,76246580,76453316,76500174,76727137,77186557,77425345,77608645,77826694,77866941,78286926,78621061,78910920,78956166,79032349,79058775,79126224,79256545,79408101,79476810,79536567,79847814,80037037,80165720,80299813,80379373,80607824,80698609,80943861,80961294,81229054,81323101,81556653,81744920,81754654,82019532,82045633,82223413,82269176,82360405,82902877,82962534,82962635,82993702,83635105,83684804,83814926,83998945,84004429,84157775,84171648,84329360,84689924,84775264,85004917,85181574,85456417,85624806,85986289,86204173,86322855,87183781,87414229,87447445,87621421,88501134,88774785,88980157,89017002,89075905,89437345,89444077,90186435,90303860,90487686,90514052,90683802,91243821,91301412,91393861,91495896,91738033,91963035,92077712,92143045,92477252,92515262,92552823,92583649,92683105,92910414,92985854,93035541,93130374,93256510,93419701,93457921,93941845,94225701,94615250,94693104,94870530,95028373,95107854,95116053,95372172,95514574,95533870,95692837,95708541,95750942,96048814,96198864,97024261,97185981,97191014,97217432,97384261,97527445,97642300,97706305,98093904,98242645,98590004,98798293,98832486,98879521,98907646,98947352,99100801,99314245,99538653,99555162,99579229,99694595,99877333,...,431017730814640056821391901776897658401253942268332908014885792344589880817231625097554412351364221585114447141853621026921952700547580059818631107300993090567188324648060419325730827196211149264784198885811048947094111872789016921106969756266038899443748440307731020784074026023082881892783733364500092520378844114046357913256515393734916995072848808344561461378740611372373255156219027413122945983807418357302500098722924679183720641462584727086831466946327626389364823817502755194132936961477199958107372788724364665766129989496563440606053692730797534430718638474733380376079618845274974248043186560935086535381404850225368295872701352065491869336216956581906851577331814159591632725394133457230290504127474701998716292547786446608109993887574264143099474900859110369762855011258863915396495375566658408097940621672518637226693337520382695008519473265235499926889896944462851956510665837747165610528354641456927576073412772764934072826681243287325411752376054371570504516766789506745043111484484426745681530634663819567886301371813078043765941164598082107906176361243695596285583887479105108164903193495197635197848192579504178476953625310909820126035680738781048760259746966535651989756922864588483311046996438558571144357967352553353333141340307531159555265866117066115755733566120805965923363138600995484512742006731338636436433323360891055066534359395219941248031157856462012244640204713774059527396180435159639989957696533853508537147938020409736317967892658658613694940122090303093757716054402199499284520156613175519069914254263505442924511841046151296741286336828505239083034559954321056570074050387518781543742821863441600415676432268253096340734331038399498923473160802025834411704449168004496411557944206096112322343041605567540230128290438963005092891333720801083229815577023249331131756357118233265174196760360514245204380364692740726326425355647420586571809198223702858717489981774579186862935384408239411915338274523148434898977966950564188351198724576894670109747221827498347918716905123413621820545750168226607235984916823039047264501646069838523766263995707320313242726400222272445639882360649630234050646356057104012350153054730786881600734795430638819973277277062094243366117941803578232745723474436882338792739266496195052364107774886569365937285609837724670890630143289026571019955727906048415332171360131308207063894076131350904161374730571068858812805455685810570511366949584364428058099869980340779774364286676832642896992758271591031449689643065846262692199143349011213474680062696872915134281596599555335163792467563975437681076080586224838021429695499742084820821865947667817578583937726881572458677248971784080714789195646964840775737817207079811520329000356733640743581434944869599219116022981681559339057079970561639727824131870355417180989079611596996974800134621188719965532427561907310931202949515915100597038836677223490725580496319005369434498747499087660329004507360027977400529817904298362672169793424759992780413294703122926013924488544352555939752755762198865307468409877122888251076718137526562970014144859420938998427995755829648454848025019363195609731545974770667372379316207963567094752488864995402184150338327447150791909494}
19956 250931692995476621261148768673813575815384142450027450246704637791377620: {139643,199490,239388,378803,577883,677858,737003,856259,1332563,1632866,1768163,2044859,2073448,2242259,2332629,2715203,3226259,3289605,3508912,3540083,3666568,3814259,3892523,3947526,4010306,4124889,4484066,4517483,4712363,4853404,4884565,4939912,5062643,5295803,5557401,5861478,5894248,6631029,6804323,6919859,6977950,7035323,7304459,7419683,7549466,7764923,7950873,8373540,8651548,8664765,8758643,8931776,8956058,9101363,9242416,9329483,9388552,9465325,9481403,9705832,9709043,9898523,9968500,10048248,10102989,10124258,10163459,10397718,10562121,10919061,11016028,11031203,11181683,11304279,11358390,11521346,11856565,11959804,11962200,12115616,12492923,12759680,13163459,13191688,13457475,13630068,13831403,14141032,14227878,14247805,14275259,14354640,14828459,14840649,14991386,15118521,15253948,15311616,15405928,15681506,15723388,15908661,16148970,16732283,16841459,16878169,16914203,16937950,16985608,17097366,17225568,17269773,17301352,17331669,17495003,17601765,18001523,18542483,18650459,18775216,18902123,19056741,19108809,19112666,19117523,19378764,19464021,19654763,20249186,20325540,20510603,20688323,20770312,21043163,21122118,21334204,21605605,21679859,21680576,21715048,21834266,21856259,22448713,22735259,23155403,23357949,23366601,23602792,23853083,24111670,24390648,24429429,24582203,24599965,24860008,25207106,25386998,25514459,25926726,26543459,26553141,26645963,26884859,27365788,27371368,27439479,27667043,27967509,28073459,28296373,28411259,28547546,28680923,28934004,29141497,29519958,29653826,29821283,30191752,30487763,30521003,30536258,30792789,30814693,30865150,31018643,31130728,31415459,31443592,31580459,31844805,31972348,32069590,32468003,32890204,32959353,33056459,33319432,33606626,33772163,33965721,33966683,33967792,34419443,34516259,34785861,35022069,35192968,35374041,35576483,35782466,35864123,35896043,35942965,36093628,36182963,36215906,36267140,36342083,36752488,36754859,36897805,37029421,37038180,37484361,37953683,37998952,38213766,38483508,39172043,39237325,39507392,39555592,39592089,39730259,40193459,40409003,40423390,40562723,40645468,41114459,41328323,41346549,41421448,41480843,41630710,41677909,41785283,41876459,42353512,42391763,42693803,42748821,42844523,42920409,42962612,43025123,43131558,43145363,43235459,43284506,43520568,44020990,44221763,44266204,44277366,44341826,44445816,44500041,44815283,45023293,45813700,45816026,45963443,46051259,46576643,46599129,47084790,47302043,47359859,47561963,47647701,47673933,47868508,47878763,47909786,47993723,48309203,48508068,48509459,48752841,48851843,48960639,49164683,49504859,49589723,49662748,49843883,49956852,50001543,50223776,50350259,50434403,50610146,50816858,51095725,51132803,51651733,51798563,51810200,52147942,52711150,52825188,52857273,53081186,53198003,53695706,53741123,54103621,54334859,54388643,54417928,54951443,54976440,55058243,55124546,55271459,55341928,55734746,56145563,56265981,56350108,56501748,56561349,56793628,57115259,57153506,57193403,57210049,57345753,57495688,57696205,57747700,57970883,58099763,58162586,58286475,58308261,58364205,58417768,58641536,58766306,58792259,58970843,59006908,59098163,59168066,59174459,59339272,59352203,59539870,60485483,60560459,60635363,60767005,60968858,60983963,61008803,61191741,61220169,61314870,61375160,61848495,61964258,62044859,62093404,62100328,62172240,62255152,62259669,62484563,62665174,62757986,62897459,62925325,63253380,63938152,64050803,64318990,64407443,64682649,64762283,65396459,65402528,65466563,65467912,65629859,65699723,65713946,65719989,65971728,66105626,66130053,66317056,66371363,66394403,66509483,66756681,67013459,67195763,67351708,67470272,67626683,67739603,67861058,67874843,68144459,68412923,68831258,69024866,69047055,69132808,69145259,69235446,69297240,69365459,69694259,69737963,69862869,69943770,70037046,70047592,70145005,70454459,70531846,70605323,70656765,70953026,71034203,71098259,71162243,71247443,71447844,71481083,71526805,71720258,71875432,71930421,71945459,71985529,72008483,72572459,72701605,72788488,72920406,72924563,73577844,73650192,73651401,73788190,73804859,73818266,73917056,74159205,74178356,74209259,74218194,74497060,74510459,74606688,74612872,74650403,74770043,74869523,75066069,75363923,75367216,75510390,75540683,75638603,75827848,75872073,75892259,75904056,76625963,76702523,76817123,77045459,77182788,77423459,77475445,77704859,77774409,77891459,77959395,78173308,78254728,78335258,78538259,78593243,78602428,78666443,78721259,78776003,78803541,78939803,79103152,79163752,79301483,79570643,79677803,79766005,80058909,80121203,80377826,80544416,80567998,80854859,80859861,80980072,81116258,81246565,81282568,81676043,81887049,81928883,81962459,82163243,82198875,82213259,82423150,82451548,82511843,82641621,82676603,82856466,82952258,83117459,83149883,83156688,83682626,83932524,83939481,84037749,84076259,84154859,84174006,84311459,84358283,84636205,84788118,84907528,85065253,85264523,85279643,85306329,85392063,85640123,85759259,85803803,85832166,85863083,85937003,86201459,86245283,86296045,86303603,86347259,86463323,86578933,86581058,86607683,86679563,87241926,87247403,87319048,87678800,88036569,88222312,88277603,88523272,88544723,88545828,88742963,88991046,89056403,89059221,89326883,89396472,89410045,89416259,89425768,89644283,89819843,89857259,90129443,90373523,90385643,90554483,90590459,90612468,90674123,90842605,90859586,90922763,91028243,91102581,91212386,91294859,91432283,91442889,91559974,91686205,91804259,91915259,92080259,92091866,92134859,92372723,92436923,92970534,93001763,93215123,93305483,93415043,93533459,93551274,93650723,93795683,93824459,94256708,94311803,94384859,94448363,94609859,94636523,94786259,94819053,95171459,95271443,95308225,95321003,95427688,95443643,95520969,95566645,95714963,95719206,95854859,95877923,95916203,95992163,96007259,96097163,96119459,96280763,96324083,96365404,96529403,96817006,96952259,96971603,96997283,97048189,97121858,97161083,97277363,97322181,97414259,97495878,97522312,97558259,97586459,97735283,97806146,97847003,97867883,97924643,97960259,98122883,98132459,98133789,98189243,98193109,98233929,98258603,98263163,98317259,98370203,98460083,98530259,98542403,98602043,98617643,98638650,98730563,98794859,98805323,98886443,98907780,98959859,98996483,99016552,99091259,99157259,99164843,99222923,99250101,99311483,99329123,99407603,99427259,99431603,99434459,99448259,99476963,99481523,99500459,99524003,99534563,99545843,99552203,99559643,99588681,99676058,...,646526596221960085232087852665346487601880913402499362022328688516884821225847437646331618527046332377671670712780431540382929050821370089727946660951489635850782486972090628988596240794316723897176298328716573420641167809183525381660454634399058349165622660461596531176111039034624322839175600046750138780568266171069536869884773090602375492609273212516842192068110917058559882734328541119684418975711127535953750148084387018775580962193877090630247200419491439584047235726254132791199405442215799937161059183086546998649194984244845160909080539096196301646077957712100070564119428267912461372064779841402629803072107275338052443809052028098237804004325434872860277365997721239387449088091200185845435756191212052998074438821679669912164990831361396214649212351288665554644282516888295873094743063349987612146910932508777955840040006280574042512779209897853249890334845416694277934765998756620748415792531962185391364110119159147401109240021864930988117628564081557355756775150184260117564667226726640118522295951995729351829452057719617065648911746897123161859264541865543394428375831218657662247354790242796452796772288869256267715430437966364730189053521108171573140389620449803477984635384296882724966570494657837856716536951028830029999712010461296739332898799175599173633600349181208948885044707901493226769113010097007954654649985041336582599801539092829911872046736784693018366960307070661089291094270652739459984936544800780262805721907030614604476951838987987920542410183135454640636574081603299248926780234919763278604871381395258164386767761569226945111929505242757858624551839931481584855111075581278172315614232795162400623514648402379644511101496557599248385209741203038751617556673752006744617336916309144168483514562408351310345192435658444507639337000581201624844723365534873996697634535677349897761295140540771367806570547039111089489638033471130879857713797335554288076234972661868780294403076612359117873007411784722652348466950425846282526798086865342005164620832741247521878075357685120432730818625252339910853977375234558570896752469104757785649395993560980469864089600333408668459823540974445351075969534085656018525229582096180322401102193145958229959915915593141365049176912705367349118585211655323508189108899744292578546161662329854048905928414756587006335945214933539856529933591859072622998257040196962310595841114197026356242062095856603288219208183528715855767050424376546642087149804970511169661546430015248964345489137407386547174534464598769394038298715023516820212020094045309372701422394899333002745688701345963156521614120879337257032144543249613127231232798921501726367875906590322358688015873457676121072183793470447261163606725810619717280493500535100461115372152417304398828674034472522339008585619955842459591736197805533125771483619417395495462200201931783079948298641342860966396804424273872650895558255015835236088370744478508054151748121248631490493506761040041966100794726856447544008254690137139989170619942054684389020886732816528833909629133643298297961202614815684332376615077206289844455021217289131408497641993633744472682272037529044793414597318962156001058568974311945350642128733297493103276225507491170726187864241}
19957 251905142275469871284464101843784550782132220753614335357433236639748902: {299235,319184,359082,1016787,1814267,2449299,2591810,3070298,3110172,3208247,4164743,4322423,4386140,4403867,4583210,5157467,5263368,5499852,5921289,6015459,6066755,6174890,6726099,7190759,7280106,7367810,7409868,7452698,7815304,8024939,8087114,8214983,8492603,8792217,8841372,10466925,10601164,10814435,11164720,11324199,11542727,11553020,11735690,11911562,12132290,12373403,12460625,12560310,12867674,12977322,13397664,13434087,13470652,13480187,13580666,13704899,13770035,13863624,14082828,14558748,14862407,14949755,14952750,15014402,15072372,15138683,15144520,15186387,15596577,15949600,16428314,16489610,16524042,17037585,17264423,17282019,17403962,17676290,17762663,17939706,17943300,18173424,18174023,18970504,19000667,19067435,19139520,19257410,19654235,19672199,19787532,20158028,20415488,20445102,20652443,21211548,21232010,21341817,21343043,21430019,21531960,21626690,21752507,22482119,22487079,22796488,22812683,22880922,22967424,23026364,23108892,23192906,23469020,23522259,23585082,23949947,24223455,24654947,25406925,25408988,25478412,25646049,25838352,25952028,25962890,26053859,26417783,26567099,26667755,26673323,26800583,27100720,27143810,27239387,27407042,27513143,27687143,28162824,28668999,29068146,29154503,29503490,29721818,30373779,30488310,30615047,30793847,31075010,31143932,31155468,31683177,31785818,32001306,32158427,32520864,32572572,32721107,32751399,33249083,33346619,33741539,34207235,34214210,34568968,34611143,35144723,35404188,35521754,36167505,36243767,36266186,36336743,36566963,36585972,37059323,37290012,37514426,37739690,37810659,38080497,38578672,38589923,38853659,38890089,38913410,38959187,39304490,39340442,39359944,39965435,40151207,41048682,41057052,41112755,41649290,41935619,42459740,42681794,42776267,42821319,42935867,43356563,43401006,43945804,43991210,44091146,44279937,44480739,44927339,44959706,45117035,45263219,45287628,45333925,45804387,45939842,45940610,46297725,46381148,46502339,46696092,46789763,47165388,47498690,47615687,47958522,47958938,48104385,48424187,49046699,49215587,49335306,49384240,49444490,49555259,49667123,49979148,50308727,50409939,50806835,50951688,51056039,51115547,51311344,51542003,51776810,51921863,52074419,52102466,52789452,52941890,53673699,53703265,54140442,54323859,54337787,54400710,54473258,54802067,55128732,55332755,55557270,55945883,56998428,57101066,57227212,57267125,57284423,57320649,57508744,57725262,57995243,58027424,58184867,59036488,59261088,59333388,59390099,59835635,60491207,60580679,60635085,60798443,60968202,61291643,62078435,62132172,62280899,62446065,62485607,62616362,62647859,62779720,62891003,63530268,63565244,63689927,64152419,64443918,64677424,64697337,64762750,64866026,64926759,65003788,65280852,65286263,65435618,65739623,65752346,65774267,65946314,66031485,66349367,66399306,66416049,66512739,66609136,66668724,67200359,67289339,67984874,68022410,68472887,68720550,68724039,69177410,69215258,69268283,69404939,70433584,70437635,70476364,70627185,70857563,70992035,71122247,71414747,71802762,71864679,71869610,72145802,72184625,72332819,72660698,72690563,72762102,72927083,73022210,73301920,73758635,74063603,74174090,74294087,74494122,74633159,74747147,74935278,75021308,75232883,75335664,75415132,75915219,76225287,76404167,76461004,76567418,76678082,76718950,77194523,77457863,77616755,77625410,77715300,77744348,77818940,78221913,78247547,78439667,78696266,78820163,79066725,79085543,79237782,79621779,79922690,80543559,80706803,81237242,81588988,81626892,81753160,81834890,82231739,82464660,82686819,82896320,83002106,83012892,83499227,83602119,83670299,83862746,84057602,84189635,84337840,84525162,84752622,85190442,85332023,85730259,85753859,86047859,86243532,86315906,86416010,86603483,86621550,86639483,87243879,87392906,87559490,87626652,87745898,87962304,88149459,88173404,88402067,88510362,88752099,89008908,89250203,89309805,89453159,89844290,90192563,90327467,90985610,91334747,91349963,91453287,91972305,91977002,92062740,92115527,92233058,92313928,92376359,92396320,92722945,92946387,93007307,93121325,93140106,93150492,93155783,93258360,93266090,93382728,93401867,93887303,93997761,94136979,94199303,94209020,94278983,94454843,94784810,94880070,94899779,95263792,95524202,95689454,95907228,96102323,96213059,96478485,96789623,97227208,97716635,97818410,97971203,98083466,98103792,98200256,98201868,98253035,98466698,98570919,98878940,98954690,98957592,99158439,99226919,99304706,99378503,99475584,99862439,99895607,...,862035461629280113642783803553795316802507884536665816029771584689179761634463250195108824702728443170228894283707242053843905401095160119637262214601986181134376649296120838651461654392422298529568397771622097894188223745578033842213939512532077798887496880615462041568148052046165763785567466729000185040757688228092715826513030787469833990145697616689122922757481222744746510312438054826245891967614836714605000197445849358367441282925169454173662933892655252778729647635005510388265873922954399916214745577448729331532259978993126881212107385461595068861437276949466760752159237690549948496086373121870173070762809700450736591745402704130983738672433913163813703154663628319183265450788266914460581008254949403997432585095572893216219987775148528286198949801718220739525710022517727830792990751133316816195881243345037274453386675040765390017038946530470999853779793888925703913021331675494331221056709282913855152146825545529868145653362486574650823504752108743141009033533579013490086222968968853491363061269327639135772602743626156087531882329196164215812352722487391192571167774958210216329806386990395270395696385159008356953907250621819640252071361477562097520519493933071303979513845729176966622093992877117142288715934705106706666282680615062319110531732234132231511467132241611931846726277201990969025484013462677272872866646721782110133068718790439882496062315712924024489280409427548119054792360870319279979915393067707017074295876040819472635935785317317227389880244180606187515432108804398998569040313226351038139828508527010885849023682092302593482572673657010478166069119908642113140148100775037563087485643726883200831352864536506192681468662076798997846946321604051668823408898336008992823115888412192224644686083211135080460256580877926010185782667441602166459631154046498662263512714236466530348393520721028490408760729385481452652850711294841173143618396447405717434979963549158373725870768816478823830676549046296869797955933901128376702397449153789340219494443654996695837433810246827243641091500336453214471969833646078094529003292139677047532527991414640626485452800444544891279764721299260468101292712114208024700306109461573763201469590861277639946554554124188486732235883607156465491446948873764677585478532992390104728215549773138731874571219675449341781260286578053142039911455812096830664342720262616414127788152262701808322749461142137717625610911371621141022733899168728856116199739960681559548728573353665285793985516543182062899379286131692525384398286698022426949360125393745830268563193199110670327584935127950875362152161172449676042859390999484169641643731895335635157167875453763144917354497943568161429578391293929681551475634414159623040658000713467281487162869889739198438232045963363118678114159941123279455648263740710834361978159223193993949600269242377439931064855123814621862405899031830201194077673354446981451160992638010738868997494998175320658009014720055954801059635808596725344339586849519985560826589406245852027848977088705111879505511524397730614936819754245776502153436275053125940028289718841877996855991511659296909696050038726391219463091949541334744758632415927134189504977729990804368300676654894301583818988}
19958 252882341314870094108146311830035907669210335657632968753260506326536567: {279286,398980,478776,538623,617737,757606,1155766,1332697,1355716,1474006,1712518,1926517,2665126,2754841,3108757,3265732,3536326,3579637,3887715,3932041,4089718,4146896,4484518,4605447,4665258,4751797,5335177,5430406,5451637,5482675,6452518,6579210,6838391,6843541,6874815,7017824,7080166,7333136,7628518,7785046,7895052,8020612,8249778,8911957,8968132,9034966,9262335,9424726,9482377,9706808,9769130,9879824,10125286,10504597,10591606,10920159,11051715,11069977,11114802,11179047,11182837,11722956,11788496,12130671,13251455,13262058,13313497,13608646,13647541,13839718,13955900,13980937,14070646,14202841,14424457,14441275,14608918,14839366,15098932,15529846,15901746,16599191,16734037,16747080,16838315,17279257,17303096,17329530,17517286,17603535,17863552,17867343,17912116,18198435,18202726,18484832,18658966,18777104,18840465,18930650,18962806,19301511,19411664,19418086,19465983,19656841,19797046,19937000,19946927,20096496,20205978,20248516,20326918,20370999,20795436,21124242,21838122,21999577,22032056,22062406,22363366,22429125,22521603,22527157,22608558,22716780,23042692,23713130,23890441,23919608,23924400,24203317,24231232,24619477,24642471,24734415,24786063,24985846,25197535,25519360,26105943,26326918,26383376,26514435,26909559,26914950,27260136,27662806,28211737,28282064,28455756,28495610,28550518,28709280,28782955,28886115,29020441,29336275,29656918,29681298,29982772,30237042,30247847,30324757,30507896,30524341,30623232,30667653,30811856,31363012,31446776,31715797,31761235,31814617,31817322,31848015,32012041,32297940,32307637,32440035,32504341,33190537,33464566,33678517,33682918,33756338,33828406,33875900,33971216,34194732,34321383,34439951,34451136,34539546,34602704,34663338,34789359,34990006,35203530,35377623,35708377,35900041,36003046,36377941,37084966,37300918,37550432,37804246,37989337,38113482,38217618,38225332,38235046,38757528,38928042,38929915,38944335,39309526,39393877,39858457,40498372,40651080,40715715,40973383,41021206,41110563,41376646,41540624,41790037,41972341,42086326,42244236,42668408,43150297,43211210,43359718,43361152,43430096,43602219,43668532,43712518,43762043,44226841,44255235,44494357,44582727,44897426,45381397,45470518,45732465,45998041,46310806,46612515,46715898,46733202,46872841,47205584,47307541,47567497,47678727,47706166,47913097,48001959,48223340,48772057,48781296,48858858,49164406,49199930,49708597,49720016,50320151,50414212,50468377,50773996,51028918,51321315,51389077,51656927,51853452,51970441,53074675,53086918,53106282,53282631,53291926,53769718,53855797,54017941,54399279,54422041,54731576,54742736,54878958,54932255,54984757,55064857,55334086,55417879,55935018,56146918,56178697,56271639,56592746,56609535,56822518,57095092,57361846,57745417,57868008,57976435,58132597,58209817,58282994,58370115,58956735,59010663,59039916,59307652,59642566,60041497,60267541,60383504,60492937,60975526,61016341,61042006,61072516,61573023,61585578,61629386,61730300,61979017,62037286,62261456,62473935,62492341,62830918,62887184,63160918,63303427,63436297,63689610,63940643,63944696,64022691,64082677,64139180,64439257,64510357,64936006,65006041,65101509,65780408,65918706,65986815,66112918,66136719,66402841,66540937,66638864,67213252,67295317,67439559,67544326,67770841,67931442,67933366,67935584,67973557,68838886,68909763,68910915,68977417,69032518,69571722,69637657,69768841,70044138,70290697,70385936,70614517,70748082,71064841,71152966,71192857,71248035,71534015,71564932,71728246,71792086,71885930,71937783,71938407,72187256,72332041,72365926,72431812,72534280,72684166,73504976,73509718,73795610,74002959,74058842,74076360,74166735,74899417,74968722,75844057,75907366,75997904,76427532,76540441,76967016,76998937,77665215,78153699,78344086,78474650,78677257,79014784,79111184,79184178,79330441,79412835,79456555,79460518,79706677,79760137,80026357,80132341,80386918,80774687,80818006,80846780,81125446,81210663,81254735,81290936,81585877,81601065,81709887,82228918,82540057,82656646,82693098,82842896,82961686,83261420,83335905,83355818,83570566,83752918,84041077,84370441,84707024,84783526,84926857,85073807,85292041,85387606,85497642,85517941,85651599,85652617,85689046,85831177,85840818,85875637,85925224,86050246,86263116,86290726,86470918,86490517,86533897,86569012,86587893,86921077,87041136,87344437,87801817,88006837,88041980,88095455,88290841,88443526,88532408,88554732,88571317,88683652,88769497,88887541,88891632,89000082,89353237,89630566,90046586,90399541,90652297,90936841,91112341,91452303,91457941,91627400,91628041,91632052,91729237,91926886,91962841,92061877,92102518,92515477,92768341,92985817,93016597,93153286,93198258,93469657,93617077,93675541,93776635,93924543,94169580,94244341,94268915,94299637,94463797,94604086,94719718,95123926,95295402,95347866,95467657,95576255,95730997,95737016,95757526,95819572,95987446,96340441,96618406,96656341,96665877,97016136,97018918,97144125,97180435,97184137,97273675,97276117,97294297,97299039,97454677,97505682,97703686,97757941,97790197,97806217,97921278,97962457,97992841,98096917,98153427,98203007,98280841,98329366,98387977,98564377,98623957,98628519,98715541,98748697,98791897,98854537,98919471,98953177,99009718,99144841,99179446,99234697,99325496,99437557,99541237,99554197,99566041,99579541,99598959,99687766,99913704,...,1293053192443920170464175705330692975203761826804998724044657377033769642451694875292663237054092664755343341425560863080765858101642740179455893321902979271701564973944181257977192481588633447794352596657433146841282335618367050763320909268798116698331245320923193062352222078069248645678351200093500277561136532342139073739769546181204750985218546425033684384136221834117119765468657082239368837951422255071907500296168774037551161924387754181260494400838982879168094471452508265582398810884431599874322118366173093997298389968489690321818161078192392603292155915424200141128238856535824922744129559682805259606144214550676104887618104056196475608008650869745720554731995442478774898176182400371690871512382424105996148877643359339824329981662722792429298424702577331109288565033776591746189486126699975224293821865017555911680080012561148085025558419795706499780669690833388555869531997513241496831585063924370782728220238318294802218480043729861976235257128163114711513550300368520235129334453453280237044591903991458703658904115439234131297823493794246323718529083731086788856751662437315324494709580485592905593544577738512535430860875932729460378107042216343146280779240899606955969270768593765449933140989315675713433073902057660059999424020922593478665797598351198347267200698362417897770089415802986453538226020194015909309299970082673165199603078185659823744093473569386036733920614141322178582188541305478919969873089601560525611443814061229208953903677975975841084820366270909281273148163206598497853560469839526557209742762790516328773535523138453890223859010485515717249103679862963169710222151162556344631228465590324801247029296804759289022202993115198496770419482406077503235113347504013489234673832618288336967029124816702620690384871316889015278674001162403249689446731069747993395269071354699795522590281081542735613141094078222178979276066942261759715427594671108576152469945323737560588806153224718235746014823569445304696933900851692565053596173730684010329241665482495043756150715370240865461637250504679821707954750469117141793504938209515571298791987121960939728179200666817336919647081948890702151939068171312037050459164192360644802204386291916459919831831186282730098353825410734698237170423310647016378217799488585157092323324659708097811856829513174012671890429867079713059867183718145245996514080393924621191682228394052712484124191713206576438416367057431711534100848753093284174299609941022339323092860030497928690978274814773094349068929197538788076597430047033640424040188090618745402844789798666005491377402691926313043228241758674514064289086499226254462465597843003452735751813180644717376031746915352242144367586940894522327213451621239434560987001070200922230744304834608797657348068945044678017171239911684919183472395611066251542967238834790990924400403863566159896597282685721932793608848547745301791116510031670472176741488957016108303496242497262980987013522080083932201589453712895088016509380274279978341239884109368778041773465633057667819258267286596595922405229631368664753230154412579688910042434578262816995283987267488945364544075058089586829194637924312002117137948623890701284257466594986206552451014982341452375728482}
19959 253863304456107482746100582493316170051044456573818894188160830413448767: {418929,498725,598470,638368,718164,1136409,1694645,1733649,2033574,2211009,2412377,2568777,3628534,3997689,4082165,4898598,4921969,5183620,5304489,6134577,6140596,6220344,6354161,6416494,6726777,6997887,7788329,8145609,8329486,8493457,8644846,8772280,8807734,9166420,9678777,9817109,9868815,10025765,10314934,10526736,10533977,10620249,10999704,11210165,11442777,11677569,11842578,12030918,12133510,12349780,12374667,12907961,13452198,13552449,14137089,14381518,14560212,14653695,14735620,14819736,14905396,15140209,15187929,15630608,15887409,16049878,16174228,16429966,16672203,16985206,17444875,17584434,17682744,17919989,18873665,19278049,19893087,20403409,20412969,20759577,20929657,20933850,21105969,21202328,21500009,21628870,21913377,22259049,22329440,22390145,22648398,22814977,23085454,23106040,23294769,23352857,23471380,23648021,23823124,23852619,24264580,24746806,24921250,25120620,25310645,25735348,25954644,25994295,26275929,26569777,26694409,26795328,26868174,26941304,26960374,27161332,27304089,27409798,27515929,27540070,27555529,27727248,27988449,28165656,28395975,28444209,28803365,29117496,29127129,29695569,29724814,29811361,29899510,29905500,30028804,30037589,30144744,30277366,30289040,30308967,30372774,30490377,31193154,31686363,31899200,32721169,32757183,32856628,32979220,33048084,33093609,33545049,33912837,34066997,34075170,34528846,34564038,34807924,35352580,35525326,35569695,35879412,35886600,36346848,36348046,36570649,37334857,37478465,37478769,37568497,37899377,37941008,38001334,38134870,38279040,38514820,39203765,39308470,39344398,39490377,39575064,40316056,40372425,40830976,40890204,41251297,41304886,41494209,42344875,42423096,42464020,42683634,42686086,42743415,42800417,42825777,42860038,43063920,43253380,43505014,44485377,44521947,44826277,44964238,44974158,45355563,45592976,45625366,45761844,45934848,46052728,46217784,46385812,46938040,47044518,47170164,47725983,47781665,47808769,47890129,47899894,48446910,49309894,49560277,50135669,50196849,50524377,50622965,50634507,50742609,50813850,50817976,50956824,51209621,51292098,51676704,51809319,51814961,51904056,51925780,51995007,52107718,52294441,52485009,52805295,52835566,53134198,53335510,53346646,53601166,54004569,54201440,54287620,54383417,54478774,54585665,54814084,55026286,55052369,55374286,55627449,55767077,55951377,55951609,56325648,56706369,57170223,57326427,57337998,57352569,57557857,58001089,58136292,58309006,58392063,58697509,58964289,59006980,59443636,60138809,60279175,60747558,60976620,61230094,61249369,61531809,61587694,62064969,62150020,62287177,62287864,62310936,63017765,63129489,63163849,63366354,63467495,63571636,64002612,64131497,64316854,64816815,65039577,65041728,65145144,65442214,65502798,65568777,66209417,66498166,66693238,66968401,67346139,67483078,67951201,68205777,68414470,68428420,69066521,69137936,69222286,69466209,70073847,70099803,70289446,70808376,71043508,71129569,71368865,71559249,72335010,72487534,72532372,72673486,73133926,73171944,73288287,73746609,73799895,74118646,74134565,74580024,75028852,75184571,75479380,75530209,75621318,76160994,76340645,76543377,77157344,77162875,77179846,77465857,77707318,77780178,77826820,77918374,77956537,78067349,78608980,78636977,78637589,78680884,78719888,79630377,79659423,79905829,79930870,79937889,80173975,80302414,80654577,82097364,82114104,82225510,82318437,82665049,83001129,83298580,83540929,83692961,83769889,83871238,83902527,84016565,84220377,84889119,84919480,85233777,85363588,85552534,85642638,85871734,85907029,86042769,86713126,86802012,86909809,87424491,87751777,87891608,87982420,88182292,88559874,88911589,88961478,89437409,89456165,89463849,89854678,89919412,90201721,90234070,90526438,90539765,90575256,90667850,91463289,91563009,91608774,91879684,91881220,92378367,92444079,92576137,92595450,92762296,93004678,93055929,93392184,93579526,93920597,94246377,94330776,94741377,94997380,95231374,95507761,95534415,95712209,95917044,95917876,96208770,96848374,96934729,97404009,98093398,98431174,98612689,98670612,98768480,98878059,98888980,99110518,99169377,99334246,99388849,99958296,...,1939579788665880255696263557996039462805642740207498086066986065550654463677542312938994855581138997133015012138341294621148787152464110269183839982854468907552347460916271886965788722382950171691528894986149720261923503427550576144981363903197175047496867981384789593528333117103872968517526800140250416341704798513208610609654319271807126477827819637550526576204332751175679648202985623359053256927133382607861250444253161056326742886581631271890741601258474318752141707178762398373598216326647399811483177549259640995947584952734535482727241617288588904938233873136300211692358284803737384116194339524207889409216321826014157331427156084294713412012976304618580832097993163718162347264273600557536307268573636158994223316465039009736494972494084188643947637053865996663932847550664887619284229190049962836440732797526333867520120018841722127538337629693559749671004536250082833804297996269862245247377595886556174092330357477442203327720065594792964352885692244672067270325450552780352694001680179920355566887855987188055488356173158851196946735240691369485577793625596630183285127493655972986742064370728389358390316866607768803146291313899094190567160563324514719421168861349410433953906152890648174899711483973513570149610853086490089999136031383890217998696397526797520900801047543626846655134123704479680307339030291023863963949955124009747799404617278489735616140210354079055100880921211983267873282811958218379954809634402340788417165721091843813430855516963963761627230549406363921909722244809897746780340704759289835814614144185774493160303284707680835335788515728273575873655519794444754565333226743834516946842698385487201870543945207138933533304489672797745155629223609116254852670021256020233852010748927432505450543687225053931035577306975333522918011001743604874534170096604621990092903607032049693283885421622314103419711641117333268468914100413392639573141392006662864228704917985606340883209229837077353619022235354167957045400851277538847580394260596026015493862498223742565634226073055361298192455875757019732561932125703675712690257407314273356948187980682941409592268801000226005379470622923336053227908602256968055575688746288540967203306579437874689879747746779424095147530738116102047355755634965970524567326699232877735638484986989562146717785244269761019007835644800619569589800775577217868994771120590886931787523342591079068726186287569809864657624550586147567301151273129639926261449414911533508984639290045746893036467412222159641523603393796308182114896145070550460636060282135928118104267184697999008237066104037889469564842362638011771096433629748839381693698396764505179103627719770967076064047620373028363216551380411341783490820177431859151841480501605301383346116457251913196486022103417567017025756859867527378775208593416599377314450858252186486386600605795349239844895924028582899190413272821617952686674765047505708265112233435524162455244363745894471480520283120125898302384180569342632024764070411419967511859826164053167062660198449586501728887400929894893883607844447052997129845231618869533365063651867394225492925980901233418046816112587134380243791956886468003175706922935836051926386199892479309828676522473512178563592723}
19960 254848046096083623211569904588011545085096765836437511081413350820206186: {219439,458551,558572,797960,816679,897705,935911,957552,1077246,1235474,1412119,1515212,2124271,2311532,2665394,2711432,2948012,3050361,3305431,3425036,3853034,3893311,4596391,4946959,5180311,5330252,5442801,5509682,6217514,6479525,6531464,7072652,7159274,7347897,7497991,7613119,7675745,7775430,7843159,7864082,8179436,8187679,8293792,8969036,9210894,9330516,9503594,9559279,9624741,9786871,10670354,10807471,10860812,10903274,10965350,11033479,11371951,11458025,12383479,12494229,12719359,12905036,12967269,13158420,13211601,13500559,13676782,13687082,13749630,14035648,14160332,14666272,15257036,15272911,15437225,15472401,15570092,15713119,15790104,16041224,16042519,16499556,16808599,16917751,17679799,17763867,17823914,17936264,18005311,18046377,18069932,18200265,18419525,18524670,18552037,18631745,18849452,18964754,19193311,19413616,19538260,19759648,19837639,20051839,20178297,20217785,20250572,20586079,21009194,21183212,21572277,21840318,21860911,22103430,22139954,22229604,22283551,22358094,22365674,22810231,23020399,23445912,23544559,23573641,23576992,24066919,24074817,24261342,24644949,25416631,25477809,25519951,26376651,26502910,26522837,26524116,26626994,26651719,27217292,27295082,27673039,27679436,27911800,27961874,28141292,28405682,28687159,28848914,28882550,29217836,29339225,29493271,29678732,29694079,29778905,30197864,30330725,31059692,31190959,31400775,31803492,32169185,32443305,32867839,33198382,33468074,33494160,33676630,33844519,33951665,33972597,34330159,34523911,34558514,34606192,34628181,34659060,35034572,35207070,35276549,35488351,35584399,35727104,35734686,35824232,35967871,36396870,36405452,36540919,36969664,37016479,37120209,37317932,37381875,37536005,37554208,37680930,37861300,37925612,38338471,38603022,38823328,38836172,38931966,39274111,39313682,39594092,39874000,39893854,40192992,40296137,40302261,40411956,40440561,40497032,40653836,40741998,41070785,41114697,41123791,41224025,41310105,41398759,41590872,41855599,42248484,42763879,43305391,43509905,43676244,43999154,44064112,44124812,44190725,44291431,44465729,44587221,44726732,44849265,44858250,45043206,45054314,45217116,45268759,45416049,45433560,45559161,45621991,45793781,46085384,46789731,47023399,47370871,47426260,47717191,47780882,47839216,47848800,48062359,48143525,48406634,48423089,48462464,48577951,48663631,48920239,49238954,49284942,49468830,49572126,49855591,49971692,50024719,50395070,51038720,51112755,51200551,51793269,51846057,52114519,52211886,52653836,52766752,52773751,53028870,53080025,53287989,53819118,53829900,54066725,54401671,54501881,54520272,54522069,54964639,55325612,55364599,56396071,56423474,56474911,56564128,56911512,56991220,57002001,57101036,57181231,57202305,57418560,57565910,57772230,57959191,57982265,58036591,58040882,58113919,58672550,58962705,59016597,59313836,59362596,59645359,59965544,60474084,60495694,60649514,60999031,61015792,61048682,61246464,61335306,61623712,61667119,61814791,61957329,62182711,62726024,62893552,63431594,63522470,63629234,63634644,63696030,63708319,63851959,64024082,64025451,64029129,64290057,64595880,64615274,64707751,64778599,64880070,64907225,65008682,65257521,65493857,65693071,66319039,66381074,66526399,66929132,67212919,67357034,67365836,67446357,67461237,67512676,67656812,67751800,67859525,67942432,68363479,68389464,68438049,68517605,68564359,68642766,68879902,68902272,69079092,69163111,69205408,69326676,69493231,69578718,69756031,69980012,70082911,70407060,70472791,70566777,70750889,70755246,71416754,71436151,71626879,71800082,71849841,72006092,72069391,72633151,72670365,72755882,72757639,73559791,73758725,73964841,74169932,74229031,74304545,74601836,74813141,74829871,74889559,75008719,75100864,75600199,75608492,75978674,76220775,76226964,76242511,76435236,76450664,76470092,76646719,76905157,76938147,77104351,77331439,77515056,77687525,77726071,77856084,77859830,77888670,78005791,78161577,78614839,78619052,78779431,78787754,78997879,79253349,79269319,79464545,79701297,79716914,80003265,80019969,80178751,80337079,80401749,80756119,80912071,80996744,81167009,81302160,81376039,81427231,81431430,81718161,81946766,81985591,82042412,82136359,82186471,82221126,82539429,82753292,82782199,82978471,83061429,83081248,83173591,83580074,83944682,83989999,84131911,84172652,84179071,84488472,84553759,84785599,85289311,85334671,85336816,85535525,85784311,85828879,86006997,86138839,86300594,86422420,86719436,86722304,86860192,87204438,87301351,87337064,87425036,87427279,87463509,87524086,87924511,88453682,88510470,88804385,88848559,88966279,88988714,89165454,89696791,89794852,89847271,90181639,90218431,90473959,90582391,90665465,90725959,90762794,90832879,90941036,90974431,91121337,91464930,91597159,91845141,91996082,92131111,92381541,92455471,92621612,92678239,93113191,93225030,93234871,93355399,93385351,93431796,93466404,93563551,93680911,93739159,93745682,93786065,93854791,94349225,94360879,94411168,94615082,94658671,94921831,95025079,95049531,95076271,95134994,95352679,95357454,95412332,95475439,95826194,96003918,96039631,96240511,96327919,96446680,96475281,96583231,96985711,97283525,97448311,97518151,97544114,97562592,97717716,97720759,97912999,97959439,98080111,98163321,98167591,98254197,98261225,98328812,98351105,98361631,98399860,98504191,98661439,98929639,99024319,99033391,99128431,99229519,99298999,99331039,99343351,99367111,99400591,99417194,99440032,99472951,99477199,99515719,99547039,99555031,99564679,99585271,99597151,99747249,...,2586106384887840340928351410661385950407523653609997448089314754067539284903389750585326474108185329510686682851121726161531716203285480358911786643805958543403129947888362515954384963177266895588705193314866293682564671236734101526641818537596233396662490641846386124704444156138497291356702400187000555122273064684278147479539092362409501970437092850067368768272443668234239530937314164478737675902844510143815000592337548075102323848775508362520988801677965758336188942905016531164797621768863199748644236732346187994596779936979380643636322156384785206584311830848400282256477713071649845488259119365610519212288429101352209775236208112392951216017301739491441109463990884957549796352364800743381743024764848211992297755286718679648659963325445584858596849405154662218577130067553183492378972253399950448587643730035111823360160025122296170051116839591412999561339381666777111739063995026482993663170127848741565456440476636589604436960087459723952470514256326229423027100600737040470258668906906560474089183807982917407317808230878468262595646987588492647437058167462173577713503324874630648989419160971185811187089155477025070861721751865458920756214084432686292561558481799213911938541537187530899866281978631351426866147804115320119998848041845186957331595196702396694534401396724835795540178831605972907076452040388031818618599940165346330399206156371319647488186947138772073467841228282644357164377082610957839939746179203121051222887628122458417907807355951951682169640732541818562546296326413196995707120939679053114419485525581032657547071046276907780447718020971031434498207359725926339420444302325112689262456931180649602494058593609518578044405986230396993540838964812155006470226695008026978469347665236576673934058249633405241380769742633778030557348002324806499378893462139495986790538142709399591045180562163085471226282188156444357958552133884523519430855189342217152304939890647475121177612306449436471492029647138890609393867801703385130107192347461368020658483330964990087512301430740481730923274501009359643415909500938234283587009876419031142597583974243921879456358401333634673839294163897781404303878136342624074100918328384721289604408772583832919839663662372565460196707650821469396474340846621294032756435598977170314184646649319416195623713659026348025343780859734159426119734367436290491993028160787849242383364456788105424968248383426413152876832734114863423068201697506186568348599219882044678646185720060995857381956549629546188698137858395077576153194860094067280848080376181237490805689579597332010982754805383852626086456483517349028128578172998452508924931195686006905471503626361289434752063493830704484288735173881789044654426903242478869121974002140401844461488609669217595314696137890089356034342479823369838366944791222132503085934477669581981848800807727132319793194565371443865587217697095490603582233020063340944353482977914032216606992484994525961974027044160167864403178907425790176033018760548559956682479768218737556083546931266115335638516534573193191844810459262737329506460308825159377820084869156525633990567974534977890729088150116179173658389275848624004234275897247781402568514933189972413104902029964682904751456964}
19961 255836580686376912220861785952999973341459342062515304698570043014942001: {19961,698215,837858,997450,1196940,1276736,1436328,1615869,1853211,1894015,2272818,2372503,2850991,2889415,3389290,3467298,3685015,3998091,4067148,4281295,4422018,4824754,5041531,5137554,5715031,5758903,5779551,6662815,6792379,7257068,7509463,7995378,8104591,8164330,8264523,8704603,8840815,9326271,9797196,9843938,10224295,10367240,10494151,10608978,10738911,10972063,11211295,11663145,11796123,12269154,12281192,12440688,12708322,12832988,12909259,13345519,13453554,13576015,13816341,13995774,14036071,14255391,15254863,15576658,15694231,16005531,16131295,16291218,16354911,16448025,16658972,16986914,17289692,17544560,17615468,17700415,17921791,18138571,18332840,19071295,19357554,19443919,19462615,19634218,19737630,20028223,20051530,20515173,20530623,20624445,20629868,21053472,21067954,21183151,21240498,21502171,21999408,22420330,22587415,22885554,23355138,23355211,23561815,23650399,23685156,23789359,24061836,24267020,24422825,24699560,24749334,24801583,25278919,25313215,25815922,26423131,26479015,26735871,26904396,27104898,27598831,27787005,28023871,28274178,28447131,28559179,28763036,29120424,29307390,29471240,29639472,29810792,29858191,30280418,30375858,31261216,31346203,31513791,31774818,32099756,32348456,32442811,32453839,32760477,32859932,33155145,33209931,33344406,33537141,33548511,33571423,33970412,34021615,34070431,34182511,34599295,34741591,34889750,35168868,35176615,35365488,35434903,35839978,36392013,36522295,37098415,37635631,37747330,38074879,38556098,38824615,39754365,39786174,39940491,40324711,40806818,40825938,40893799,40942623,41513659,41519154,41859314,41867700,41942811,42211938,42404656,42608523,42804751,43000018,43170991,43234939,43257740,43273371,43323825,43793215,43826754,43886203,44123551,44265271,44518098,44658880,44780290,45296796,45483223,45506815,45629954,45814219,46170908,46212080,46589538,46647415,46705714,46942760,47296042,47326625,47407015,47646248,47705238,48043759,48390331,48529160,48545215,49473751,49492615,49493612,49797573,49842500,50202111,50241240,50514945,50534671,50582311,50621290,50808631,50817295,51214783,51470696,51837771,51909288,51988590,52153831,52248559,52469851,52551858,52810605,53139554,53388818,53590656,53602029,53736348,53882608,53920748,54322664,54388939,54536191,54595305,54608178,54741319,54819596,54885271,55031858,55080140,55111058,55156015,55454496,55908415,55976898,56033983,56146903,56331312,56521395,56791950,56888418,56918551,56954491,57606730,57904533,58234992,58236079,58254258,58397949,58970523,59282825,59391138,59449628,59622722,59799020,59811000,59840781,60057608,60075178,60289488,60554732,60578080,60617934,60745548,60810751,60931711,60980754,61112997,61235863,62386308,62392951,62464615,63372726,63798400,64137991,64264999,64271311,64803031,64946863,65442338,65514366,65713256,65817295,65958440,65998731,66096168,66187218,66216091,66894331,67090098,67213963,67287375,67564809,67581471,67825674,68074471,68133994,68150340,69057692,69073483,69128076,69157015,69615848,70455391,70705160,70872151,71050652,71139390,71239025,71376295,71407759,71671323,71676379,71758824,71773200,72609951,72693696,72696092,73141298,73858431,73927413,74142295,74203245,74358189,74669714,74824651,74956930,74957538,75136994,75223999,75592605,75798754,75882016,76002668,76087903,76095151,76269740,76419931,76558080,77029640,78317829,78407530,78616940,78688796,78980754,79056571,79150128,79543305,79785583,80324431,80632112,80728677,80744850,81347803,81591499,81661952,81780408,82070479,82502594,82609772,82988418,83661415,84060871,84207295,84390845,84571015,84635211,84689750,84846192,84928040,85367268,85372172,85387951,85486830,85600834,85651554,85720076,86012503,86127840,86348865,86506760,86658345,86919631,87010028,87061323,87251743,87475015,87914959,87993751,88008825,88224871,88854493,88970754,89043894,89652554,89928476,89948316,90007615,90018379,90345403,90711126,90743541,90974271,91185952,91250732,91523688,91573023,91869696,92002959,92105456,92435568,92712415,92771624,93252295,93486223,93876080,94052311,94089036,94340328,94510615,94589071,95057611,95147391,95283705,95443851,95451966,95544045,95563330,95587615,95617538,95735131,95780258,95799788,95936671,96036123,96315439,96893820,96922911,97053643,97320105,97513023,98273815,98619788,98828719,98909863,99120554,99130903,99571611,99907579,99916411,...,3879159577331760511392527115992078925611285480414996172133972131101308927355084625877989711162277994266030024276682589242297574304928220538367679965708937815104694921832543773931577444765900343383057789972299440523847006855101152289962727806394350094993735962769579187056666234207745937035053600280500832683409597026417221219308638543614252955655639275101053152408665502351359296405971246718106513854266765215722500888506322112653485773163262543781483202516948637504283414357524796747196432653294799622966355098519281991895169905469070965454483234577177809876467746272600423384716569607474768232388679048415778818432643652028314662854312168589426824025952609237161664195986327436324694528547201115072614537147272317988446632930078019472989944988168377287895274107731993327865695101329775238568458380099925672881465595052667735040240037683444255076675259387119499342009072500165667608595992539724490494755191773112348184660714954884406655440131189585928705771384489344134540650901105560705388003360359840711133775711974376110976712346317702393893470481382738971155587251193260366570254987311945973484128741456778716780633733215537606292582627798188381134321126649029438842337722698820867907812305781296349799422967947027140299221706172980179998272062767780435997392795053595041801602095087253693310268247408959360614678060582047727927899910248019495598809234556979471232280420708158110201761842423966535746565623916436759909619268804681576834331442183687626861711033927927523254461098812727843819444489619795493560681409518579671629228288371548986320606569415361670671577031456547151747311039588889509130666453487669033893685396770974403741087890414277867066608979345595490311258447218232509705340042512040467704021497854865010901087374450107862071154613950667045836022003487209749068340193209243980185807214064099386567770843244628206839423282234666536937828200826785279146282784013325728457409835971212681766418459674154707238044470708335914090801702555077695160788521192052030987724996447485131268452146110722596384911751514039465123864251407351425380514814628546713896375961365882819184537602000452010758941245846672106455817204513936111151377492577081934406613158875749379759495493558848190295061476232204094711511269931941049134653398465755471276969973979124293435570488539522038015671289601239139179601551154435737989542241181773863575046685182158137452372575139619729315249101172295134602302546259279852522898829823067017969278580091493786072934824444319283047206787592616364229792290141100921272120564271856236208534369395998016474132208075778939129684725276023542192867259497678763387396793529010358207255439541934152128095240746056726433102760822683566981640354863718303682961003210602766692232914503826392972044206835134034051513719735054757550417186833198754628901716504372972773201211590698479689791848057165798380826545643235905373349530095011416530224466871048324910488727491788942961040566240251796604768361138685264049528140822839935023719652328106334125320396899173003457774801859789787767215688894105994259690463237739066730127303734788450985851961802466836093632225174268760487583913772936006351413845871672103852772399784958619657353044947024357127185446}
19962 256828922733448744077626238290740679872631309113140567274923728675322739: {259337,438878,856517,917102,1117144,1256787,1412261,1451897,1496175,1595920,1633358,1795410,1871822,1915104,2005961,2154492,2163977,2470948,2824238,2952137,3030424,3409227,3932837,4167461,4248542,4401797,4623064,5083935,5180837,5200947,5330788,5422864,5530361,5896024,6100722,6610862,6633027,6850072,6921977,7037477,7237131,7421957,7706068,7706331,7786622,7997177,8188517,8226761,8417861,8989961,9071335,9192782,9332357,9560261,9712037,9893918,10128761,10360622,10506761,10660504,10746043,10885602,11019364,11072261,11993067,12246495,12422117,12435028,12608777,12757961,12959050,12981497,13062928,14145304,14279717,14318548,14427461,14695794,14765907,14995982,15226238,15351490,15550860,15686318,15714761,15728164,15751397,15913467,16041235,16358872,16375358,16587584,16810361,16846757,17355461,17938072,18115577,18403731,18421788,18656357,18661032,19007188,19062483,19118558,19249482,19573742,19839737,19875461,20089637,20180331,20623817,20801477,20823715,20993661,21156197,21340708,21612115,21614942,21721624,21806548,21930700,22019335,22066958,22742537,22743902,22916050,23057861,23364987,23372537,23965157,24104261,24277961,24436827,24766958,24988458,25438718,25480371,25787335,25810072,25934538,26084443,26141177,26316840,26380997,26423202,26654597,26995877,27001118,27353564,27370361,27374164,27499260,27879461,28071296,28082597,28304899,28320664,28521737,29036331,29093957,29332544,29451327,29529977,29606445,29730761,30077295,30333775,30514072,30545822,30874450,30929417,30944802,31140184,31194377,31345171,31426238,31580208,31590857,31601931,31860747,32082448,32085038,32999112,33197861,33617198,33630495,33835502,33880697,34328331,34333961,34527737,35032707,35107337,35359598,35492297,35527734,35647828,35872528,35953795,35971877,36010622,36092754,36139864,36400530,36544997,36767177,36839050,37049340,37104074,37124001,37210361,37263490,37494437,37683461,37698904,37929508,38386622,38723883,38749157,38827232,39076520,39278537,39519296,39675278,40103678,40124695,40330361,40356594,40435570,40501144,40515017,40657347,41074915,41172158,41220197,41690467,41860361,41890757,41981897,42018388,42042617,42315461,42366424,42411267,42463015,42496997,43144554,43250297,43680636,43721822,43961085,44117861,44206860,44279908,44296517,44459208,44567102,44716188,44731348,44830757,45036859,45420627,45450761,45563787,45620462,46040798,46067237,46184261,46891824,47057861,47089118,47147282,47153984,47376377,47532331,47662227,48096677,48133838,48149634,48522684,49289898,49607177,50016609,50452217,50833262,50872037,50955618,51039902,51150917,51456761,51733961,51982757,52037957,52334625,52533317,52550407,52753302,53005820,53045674,53048232,53253988,53303438,53679077,53759967,53922761,54072175,54119923,54434584,54435077,54590164,54596261,54997961,55158137,55346078,55358872,55371257,55397861,55557317,55769477,55823600,55923748,56165897,56282584,56620995,56744057,56811364,57214217,57227287,57374318,57499099,57697828,57713635,57759461,57765100,57834147,57992057,58146761,58435672,58660361,58678450,58813817,58986542,59068937,59196197,59357464,59388158,59450117,59557810,59679261,60282377,60395728,60582857,60657797,60661450,60913867,61031417,61155557,61210227,61238907,61674761,61699397,61867015,62043461,62119384,62278731,62303125,62381918,62507897,62788971,62801550,62993657,63317907,63606984,63716297,63883877,64338370,64431737,64500027,64715897,64886610,65491397,65654777,65724677,65735678,65740131,66211961,66396764,66534857,66557861,66777147,66936148,66988320,67153157,67170435,67353260,67400935,67689038,67903330,67945194,68444931,68524495,68660318,68706761,68850175,69039461,69047822,69117028,69212384,69256362,69318120,69786917,69830597,69884307,70058571,70069144,70113737,70243961,70414140,70553098,70697477,70944063,70976702,71126117,71168798,71190137,71339237,71445497,71454208,71469372,71557857,71636261,71648464,71763077,71935742,71952761,72036857,72663497,72787961,72793740,72810904,72912137,73081838,73097861,73405961,73508261,73691897,73895177,73939328,74032958,74117861,74240418,74312035,74635864,74740217,74748775,74763750,74919461,75038597,75072010,75108416,75196997,75361860,75693415,75722600,75851224,75931935,75981317,76561157,76676942,76848377,77057861,77206044,77401831,77511557,77646656,77672344,77792777,77863932,77923397,77982885,78016457,78548222,78625637,78627364,78753737,78808517,78827787,79026917,79074523,79188184,79388357,79549961,79709331,79748000,79787708,79817861,80083227,80189897,80385984,80592274,80604522,80767397,80784761,80823912,80881122,80940677,80994064,81027017,81175171,81307672,81387461,81483996,81642761,81912267,82141570,82229394,82247582,82248137,82448050,82547787,82620210,82666587,82793957,82797518,82810361,83181744,83395577,83614687,83711198,83965347,84002057,84394757,84472697,84496968,84720761,84797861,84813257,85043237,85119497,85187925,85316837,85332627,85347077,85407461,85527758,85841417,85856261,86283257,86322115,86385317,86410095,86610782,87019810,87145337,87352488,87381387,87648761,87855461,87937637,87998308,88060361,88128224,88249624,88381450,88544777,88582862,88813315,88875077,88931458,89070857,89086707,89174442,89367557,89434083,89444261,89453464,89520677,89698530,89716500,89760761,89898437,89935817,90086412,90108628,90112767,90121637,90434232,90487877,90499961,90537518,90632357,90832098,90867120,90870115,90926901,90964997,90988517,91118322,91140617,91243982,91371977,91440761,91471131,91587562,91991717,92170768,92480777,92544761,92692937,92703461,92922617,93219461,93259877,93410297,93579462,93608057,93666761,93705737,93763961,93869957,93898697,94046798,94135397,94293497,94330361,94412837,94521797,94683077,94741742,94852520,95003335,95059089,95091977,95337175,95368517,95434382,95499461,95561764,95668217,95678432,95697600,95731577,95848997,95903177,95924647,95926277,96124718,96168197,96287050,96307961,96373157,96515717,96557861,96599717,96668837,96703097,96813268,96846178,96891257,96924928,97021817,97155902,97254917,97327262,97540997,97609637,97737977,97824761,97840478,97883237,97951097,98027717,98163507,98232677,98271175,98271549,98297861,98338937,98360995,98436617,98477908,98569884,98596217,98683337,98770277,98849477,98859977,98937660,98967497,98980361,99024377,99069797,99144252,99171461,99187397,99220937,99280827,99286277,99317861,99320057,99349961,99352037,99419657,99489317,99496457,99497861,99510137,99517961,99535097,99551717,99561797,99575417,99580361,99588677,99591461,99597257,99603461,99605477,99608261,99610757,99613961,99616997,99711182,99943384,...,5818739365997640767088790673988118388416928220622494258200958196651963391032626938816984566743416991399045036415023883863446361457392330807551519948563406722657042382748815660897366167148850515074586684958449160785770510282651728434944091709591525142490603944154368780584999351311618905552580400420751249025114395539625831828962957815421379433483458912651579728612998253527038944608956870077159770781400147823583751332759483168980228659744893815672224803775422956256425121536287195120794648979942199434449532647778922987842754858203606448181724851865766714814701619408900635077074854411212152348583018572623668227648965478042471994281468252884140236038928913855742496293979491154487041792820801672608921805720908476982669949395117029209484917482252565931842911161597989991798542651994662857852687570149888509322198392579001602560360056525166382615012889080679249013013608750248501412893988809586735742132787659668522276991072432326609983160196784378893058657076734016201810976351658341058082005040539761066700663567961564166465068519476553590840205722074108456733380876789890549855382480967918960226193112185168075170950599823306409438873941697282571701481689973544158263506584048231301861718458671944524699134451920540710448832559259470269997408094151670653996089192580392562702403142630880539965402371113439040922017090873071591891849865372029243398213851835469206848420631062237165302642763635949803619848435874655139864428903207022365251497163275531440292566550891891284881691648219091765729166734429693240341022114277869507443842432557323479480909854123042506007365547184820727620966559383334263695999680231503550840528095156461605611631835621416800599913469018393235466887670827348764558010063768060701556032246782297516351631061675161793106731920926000568754033005230814623602510289813865970278710821096149079851656264866942310259134923351999805406742301240177918719424176019988592686114753956819022649627689511232060857066706062503871136202553832616542741182781788078046481587494671227696902678219166083894577367627271059197685796377111027138070772221942820070844563942048824228776806403000678016138411868770008159683725806770904166727066238865622901609919738313624069639243240338272285442592214348306142067266904897911573701980097698633206915454960968686440153355732809283057023506934401858708769402326731653606984313361772660795362570027773237206178558862709429593972873651758442701903453819388919778784348244734600526953917870137240679109402236666478924570810181388924546344688435211651381908180846407784354312801554093997024711198312113668408694527087914035313289300889246518145081095190293515537310883159312901228192142861119085089649654141234025350472460532295577455524441504815904150038349371755739589458066310252701051077270579602582136325625780249798131943352574756559459159801817386047719534687772085748697571239818464853858060024295142517124795336700306572487365733091237683414441560849360377694907152541708027896074292211234259902535579478492159501187980595348759505186662202789684681650823533341158991389535694856608600095190955602182676478777942703700254140448337761403140731375870659404009527120768807508155779158599677437929486029567420536535690778169}
19963 257825086798850469597495619899165409730027093967012355331235172155830752: {19963,39922,658317,977501,1375653,1396430,1675716,1994900,2393880,2450037,2553472,2651621,2693115,2807733,2872656,3088685,3231738,3369353,3706422,3788030,4045181,4236357,4545636,4745006,5159021,5701982,5778830,5958173,5993813,6372813,6436421,6663485,6778580,6934596,7370030,7996182,8027357,8134296,8562590,8844036,9151083,9327941,9578153,9632585,9649508,9916293,10083062,10275108,11430062,11517806,11559102,11679933,11728757,12377141,13325630,13346861,13584758,13774205,13789173,14314013,14514136,14840877,15018926,15256397,15540933,15543785,15695813,15771977,15990756,16209182,16328403,16328660,16529046,17409206,17681630,17898185,18652542,19006421,19438575,19594392,19660205,19687876,20030237,20448590,20734480,20988302,21217956,21436493,21477822,21944126,22043691,22422590,22493973,22583813,22839357,22979177,23027235,23326290,23529477,23592246,23758985,23791757,24538308,24562384,24563037,24780581,24804077,24881376,25034633,25281461,25416644,25665976,25818518,26512037,26675885,26681381,26691038,26699813,26907108,27152030,27228041,27247661,27258185,27413375,27601613,27632682,27991548,28072142,28114697,28510782,28677837,28874223,29360613,30294077,30509726,31153316,31320797,31388462,31622381,32011062,32262590,32422413,32582436,32709822,32889461,32896050,32986541,33100437,33317944,33356693,33751757,33973828,34115853,34191955,34217705,34374075,34579384,34745093,35089120,35230936,35286953,35400830,35438501,35843582,36087437,36277142,36665680,37070621,37150437,37482687,38078717,38142590,38158077,38354537,38601581,38715108,38828837,38887838,38901807,38925230,39268436,39475260,39634803,40056446,40103060,40397513,40501677,41030346,41061246,41248890,41259736,41948357,42045737,42106944,42135908,42366302,42480996,42789221,43004342,43239317,43369661,43714061,43998816,44269733,44478473,44559785,44840660,45174830,45276893,45771108,45818733,46311675,46417203,46710276,46710422,47123630,47139357,47300798,47370312,47411885,47578718,47630261,48123672,48127557,48439013,48534040,48619997,48845650,49061597,49247261,49314557,49399120,49498668,49603166,49672361,50387357,50425797,50557838,50587433,50626430,50753253,51095837,51131213,51631844,51937781,52522985,52846262,52958030,53039397,53291601,53471742,53622953,53808792,54015933,54139131,54144077,54209796,54354461,54600795,54746837,55197662,55258575,55349885,55574010,55656111,55895235,55914185,56047742,56548356,56786117,56894262,57118358,57188573,57196493,57526072,57579933,57873773,58240848,58614780,58669061,58942480,59278944,59512917,59621584,59716382,59722793,60155517,60534891,60560836,60653355,60751716,60937853,61310501,61748297,61758237,62522432,62692406,62752421,63027582,63303797,63549636,63709541,64199512,64271477,64277837,64696912,64716831,64809593,64885622,64907678,65306381,65520954,65582733,65719864,66257275,66310290,66369821,66419862,66567485,66688812,66850653,67074282,67097022,67142846,67309853,67399877,67940824,67963301,67964957,68043230,68081333,68140862,68237705,68365022,68430693,68824457,69061197,69198590,69289661,69425957,69483182,69779500,69904685,70337736,70353230,70462493,70633677,70720923,70730976,70869806,71014205,71144213,71414957,71679956,71683637,72122285,72200757,72206375,72224451,72426917,72784026,73044590,73828361,73934847,74143973,74196830,75255917,75271262,75494660,76149758,76249893,76433427,76559853,76758281,77112196,77218421,77649230,78271781,78463421,79129953,79508730,79568511,79572348,79880982,79955157,80411861,80649422,81613636,81651876,81787598,81885246,82256717,82838153,82995955,83019117,83027318,83038308,83670185,83695637,83718628,83735400,83885622,84191575,84423876,84809312,85039421,85217046,85288037,85609502,86000036,86061477,86073917,86341982,86396285,86469878,86515480,86546742,86647650,87450461,87586430,87653508,87772406,87923957,88017675,88247102,88429133,88479813,88530542,88544297,89036196,89082237,89317760,89336715,89560580,89930633,90044681,90354821,90448061,90593592,90966446,90992175,91013630,91159613,91259908,91628438,92144213,92341816,92424160,93179076,93294830,93411428,93430493,93572877,93885520,94202325,94592084,94653250,94814030,94928873,95292496,95410476,95914733,96087518,96131621,96426317,96507555,96780662,96819821,97058320,97090430,97329915,98284205,98345957,98603517,98947502,98985230,98987224,99257477,99595146,99685000,99734635,99926813,...,7758319154663521022785054231984157851222570960829992344267944262202617854710169251755979422324555988532060048553365178484595148609856441076735359931417875630209389843665087547863154889531800686766115579944598881047694013710202304579925455612788700189987471925539158374113332468415491874070107200561001665366819194052834442438617277087228505911311278550202106304817331004702718592811942493436213027708533530431445001777012644225306971546326525087562966405033897275008566828715049593494392865306589599245932710197038563983790339810938141930908966469154355619752935492545200846769433139214949536464777358096831557636865287304056629325708624337178853648051905218474323328391972654872649389057094402230145229074294544635976893265860156038945979889976336754575790548215463986655731390202659550477136916760199851345762931190105335470080480075366888510153350518774238998684018145000331335217191985079448980989510383546224696369321429909768813310880262379171857411542768978688269081301802211121410776006720719681422267551423948752221953424692635404787786940962765477942311174502386520733140509974623891946968257482913557433561267466431075212585165255596376762268642253298058877684675445397641735815624611562592699598845935894054280598443412345960359996544125535560871994785590107190083603204190174507386620536494817918721229356121164095455855799820496038991197618469113958942464560841416316220403523684847933071493131247832873519819238537609363153668662884367375253723422067855855046508922197625455687638888979239590987121362819037159343258456576743097972641213138830723341343154062913094303494622079177779018261332906975338067787370793541948807482175780828555734133217958691190980622516894436465019410680085024080935408042995709730021802174748900215724142309227901334091672044006974419498136680386418487960371614428128198773135541686489256413678846564469333073875656401653570558292565568026651456914819671942425363532836919348309414476088941416671828181603405110155390321577042384104061975449992894970262536904292221445192769823503028078930247728502814702850761029629257093427792751922731765638369075204000904021517882491693344212911634409027872222302754985154163868813226317751498759518990987117696380590122952464408189423022539863882098269306796931510942553939947958248586871140977079044076031342579202478278359203102308871475979084482363547727150093370364316274904745150279239458630498202344590269204605092518559705045797659646134035938557160182987572145869648888638566094413575185232728459584580282201842544241128543712472417068738791996032948264416151557878259369450552047084385734518995357526774793587058020716414510879083868304256190481492113452866205521645367133963280709727436607365922006421205533384465829007652785944088413670268068103027439470109515100834373666397509257803433008745945546402423181396959379583696114331596761653091286471810746699060190022833060448933742096649820977454983577885922081132480503593209536722277370528099056281645679870047439304656212668250640793798346006915549603719579575534431377788211988519380926475478133460254607469576901971703923604933672187264450348537520975167827545872012702827691743344207705544799569917239314706089894048714254370892}
19964 258825087499431129943454446415991709696461563167855363342214181103751374: {59883,518674,737299,877756,1452043,1713034,1834204,1927099,2045683,2094645,2234288,2493625,2513574,2824522,2903794,2991763,2992350,3191840,3227563,3266716,3590820,3743644,3830208,4011922,4167883,4308984,4327954,4847607,4941896,5453299,5559633,5569723,5648476,5682045,5904274,6060848,6818454,7117509,7192099,7865674,8227603,8334922,8456923,8473225,8497084,8552973,8668245,8803594,8914699,9028963,9246128,9485299,10167643,10167870,10361674,10401894,10507843,10621099,10661576,10845728,11055045,11060722,11186299,11792048,11994273,12061885,12199123,12201444,12699869,12843885,13221724,13266054,13317643,13700144,13843954,13985299,14074954,14096323,14428963,14474262,14539699,14843914,15124593,15412136,15412662,15573244,15753043,15994354,16377034,16453522,16739299,16835722,16848523,17145093,17276709,17338653,17979922,18142670,18385564,18664714,18802243,19120522,19424074,19787836,19877563,19988445,20257522,20377137,20410825,20721244,21013522,21321008,21492086,21771204,22006603,22038728,22144522,22457729,22528389,23986134,24313773,24315283,24492990,24609845,24731299,24793569,24844234,24870056,25217554,25515922,25663123,25918100,25962994,26113809,26125856,26383843,26522445,26794099,27203203,27407323,27978813,28220923,28290608,28559434,28637096,28828099,28854922,29153201,29332099,29391588,29531814,29991964,30256961,30334699,30434563,30452476,30672885,30702980,30827069,31101720,31372636,31429522,31456328,31482453,31502794,31726243,31770805,31825099,31826934,31923883,32082470,32216733,32416723,32717744,32750716,32916189,33175168,33201523,33620722,33633885,33693514,33787099,34710922,34989435,35143363,35388369,35720299,35816203,35876144,36102269,36231154,36771283,36807462,36843576,37044293,37246123,37312714,37322064,37719163,38014376,38096299,38124966,38237116,38498964,38727777,38941645,39127483,39147484,39679474,39750922,39871963,40036557,40179274,40334923,40360662,40728045,41247634,41255443,41449023,41602954,41647430,41895523,41987322,42108213,42312394,42467285,42681416,42766173,43165099,43224230,43229884,43255243,43443248,43613096,43861400,43973803,44038670,44133916,45485074,45487804,45764589,45832100,45838099,46115722,46189603,46714699,46729974,46745074,47082693,47930314,48016099,48016593,48208522,48393885,48555922,48873654,48874699,49064733,49085545,49301299,49344075,49533916,49726099,49976916,50128825,50233483,50335313,50486203,50877436,50905963,50960742,51407299,51574670,51620144,51740083,51869076,52168886,52282354,52567003,52633680,52669885,52761994,52846404,53101245,53309194,53765373,53875099,53991754,54002236,54415713,54602803,54707128,54740722,54748328,54998520,55084699,55164763,55404523,55434577,55758922,55802683,56050825,56142592,56165194,56174573,56199043,56609798,56641328,57043474,57213885,57504881,57766483,57844099,58072662,58187914,58231099,58331757,58387845,58665088,58693123,58902654,59059954,59212890,59305123,59448221,59461522,60063643,60084669,60139099,60154590,60590323,60667550,61028144,61091644,61545519,61591869,61707043,61748900,61858834,61873335,61889604,62075683,62280368,62369299,62388754,62690342,62734699,62852476,63025723,63160416,63181714,63203862,63322501,63549453,63721494,63959909,64164896,64170076,64178299,64463563,64506513,64534699,64539805,65942299,65998224,66395722,66566323,67234396,67260990,67321099,67671004,67761394,67762245,67999699,68067163,68656662,68667922,68737843,69055474,69730363,69874717,70065414,70065633,70214674,70577443,70685445,70706683,70719196,70951197,70984594,71055468,71220763,71284699,71295656,71368077,71745056,71907590,71943754,71983243,72021244,72185508,72279728,72801060,73089994,73268475,73534354,73678100,73844083,74098680,74147923,74208148,74248002,74329363,74404749,74420722,74526980,74988874,75366922,75397808,75581299,75701045,75836757,75859016,75933163,75939645,76456099,76744099,76773244,77030299,77087323,77447766,77498314,77540923,77654464,78153040,78557074,78709699,78764563,78928723,79038592,79269393,79350556,79437045,79578883,79793299,80059699,80112763,80207356,80207613,80249390,80639443,80660722,80713188,80796043,80799089,80871140,81002288,81030034,81158923,81314694,81671203,82075843,82149830,82326403,82344316,82440394,82624699,82796493,82822123,83361015,83380934,83407483,83720722,83781514,83963794,84036776,84071613,84085234,84124603,84500443,84630922,84732848,84822534,84825523,84926030,84993994,85341393,85645813,85677537,85868803,85913299,86289108,86354299,86500594,86572099,86613821,86615443,86788099,87002299,87172363,87224375,87361272,87443644,87841099,87882283,87922170,88235722,88413720,88451299,88559816,88593034,88690843,88918416,89134204,89393923,89432376,89462696,89470603,89574573,89599945,89661514,89962003,90073718,90513883,90694243,90730099,90841254,90901522,91084699,91127574,91240924,91939699,92081596,92134474,92138203,92368522,92718163,93030283,93061099,93365299,93451709,93514699,93783648,93837043,93923443,94038609,94066003,94115722,94178236,94294564,94307968,94361309,94368325,94373299,94537243,94541373,94671883,94752754,95064662,95167099,95324454,95417299,95684203,95755483,95934293,96102163,96193354,96267676,96299268,96390245,96539203,96581323,96685363,96767299,97045368,97064299,97326883,97328433,97345099,97361517,97505803,97523299,97677523,97832569,97858099,97937299,98014699,98029963,98250283,98281431,98454403,98579796,98618203,98689699,98867683,98909299,98919523,99091243,99143299,99214354,99224299,99298099,99338923,99370963,99418483,99465435,99517123,99525403,99537283,99559099,99572203,99602299,99628003,99629793,...,11637478731995281534177581347976236776833856441244988516401916393303926782065253877633969133486833982798090072830047767726892722914784661615103039897126813445314084765497631321794732334297701030149173369916898321571541020565303456869888183419183050284981207888308737561169998702623237811105160800841502498050228791079251663657925915630842758866966917825303159457225996507054077889217913740154319541562800295647167502665518966337960457319489787631344449607550845912512850243072574390241589297959884398868899065295557845975685509716407212896363449703731533429629403238817801270154149708822424304697166037145247336455297930956084943988562936505768280472077857827711484992587958982308974083585641603345217843611441816953965339898790234058418969834964505131863685822323195979983597085303989325715705375140299777018644396785158003205120720113050332765230025778161358498026027217500497002825787977619173471484265575319337044553982144864653219966320393568757786117314153468032403621952703316682116164010081079522133401327135923128332930137038953107181680411444148216913466761753579781099710764961935837920452386224370336150341901199646612818877747883394565143402963379947088316527013168096462603723436917343889049398268903841081420897665118518940539994816188303341307992178385160785125404806285261761079930804742226878081844034181746143183783699730744058486796427703670938413696841262124474330605285527271899607239696871749310279728857806414044730502994326551062880585133101783782569763383296438183531458333468859386480682044228555739014887684865114646958961819708246085012014731094369641455241933118766668527391999360463007101681056190312923211223263671242833601199826938036786470933775341654697529116020127536121403112064493564595032703262123350323586213463841852001137508066010461629247205020579627731940557421642192298159703312529733884620518269846703999610813484602480355837438848352039977185372229507913638045299255379022464121714133412125007742272405107665233085482365563576156092963174989342455393805356438332167789154735254542118395371592754222054276141544443885640141689127884097648457553612806001356032276823737540016319367451613541808333454132477731245803219839476627248139278486480676544570885184428696612284134533809795823147403960195397266413830909921937372880306711465618566114047013868803717417538804653463307213968626723545321590725140055546474412357117725418859187945747303516885403806907638777839557568696489469201053907835740274481358218804473332957849141620362777849092689376870423302763816361692815568708625603108187994049422396624227336817389054175828070626578601778493036290162190380587031074621766318625802456384285722238170179299308282468050700944921064591154911048883009631808300076698743511479178916132620505402102154541159205164272651251560499596263886705149513118918319603634772095439069375544171497395142479636929707716120048590285034249590673400613144974731466182475366828883121698720755389814305083416055792148584422468519805071158956984319002375961190697519010373324405579369363301647066682317982779071389713217200190381911204365352957555885407400508280896675522806281462751741318808019054241537615016311558317199354875858972059134841073071381556338}
19965 259828939507545968252903513492822863997605355593679217083222810589280102: {39926,79844,778011,1097195,1316634,1955002,2292755,2569551,2751306,2792860,3351432,3728219,3770361,3989800,4083395,4236783,4324159,4355691,4488525,4679555,4787760,4900074,5106944,5303242,5386230,5615466,5745312,6017883,6177370,6463476,6491931,6738706,7060595,7193647,7412844,7576060,8090362,8472714,8856411,8980763,9091272,9328879,9490012,9820067,10227681,10318042,10537151,10621355,11403964,11557660,11798511,11916346,11987626,12502383,12745626,12872842,13205391,13281971,13326970,13485619,13557160,13869192,14740060,15251805,15542511,15602841,15773563,15992364,16054714,16268592,16527155,16591083,17125180,17688072,18302166,18655882,19156306,19265170,19283887,19299016,19466555,19832586,19899081,19948667,20166124,20550216,20765931,21112431,21711393,21761299,22056683,22265871,22860124,22981955,23035612,23118204,23118993,23359866,23457514,23991531,24244691,24565551,24662363,24680283,24734795,24754282,25057459,25253583,25901555,26514703,26651260,26693722,26969883,27108707,27169516,27214005,27230779,27524287,27548410,27578346,27997071,28117531,28628026,28680783,29028272,29136111,29681754,29820367,30037852,30386283,30512794,31081866,31087570,31391626,31520283,31543954,31981512,32238129,32397625,32418364,32656806,32657320,33058092,33216783,33262579,34818412,35363260,35796370,35802091,35979201,36090779,36739485,37266351,37305084,37346239,37489955,37826331,38012842,38065595,38161459,38273883,38378725,38832751,38869363,38877150,38944491,39188784,39215795,39320410,39375752,40060474,40639091,40897180,40938395,41263759,41468960,41522063,41976604,42435912,42839151,42872986,42955644,43282383,43888252,44087382,44297721,44839819,44845180,44945443,44987946,45167626,45678714,45958354,46054470,46090643,46652580,47058954,47144283,47184492,47254191,47517970,47583514,47740401,47786171,47796395,47823247,47868737,47904787,48123705,48934355,49076616,49124768,49126074,49235419,49258319,49561162,49575331,49608154,49762752,50069266,50431083,50540271,50562922,50833288,51101011,51331952,51637036,52066383,52095403,53024074,53351770,53362762,53382076,53399626,53814216,54037355,54304060,54346731,54456082,54495322,54516370,54826750,55167395,55203226,55211193,55265364,55683419,55969071,55983096,56144284,56229394,56859755,57021564,57187449,57290125,57355674,57748446,57792083,58721226,59519211,59626383,60268911,60540993,60588154,61019452,61871451,61917395,62080331,62306632,62383699,62404431,62471145,62641594,62776924,62980983,63244762,63367403,63468591,63596795,64022124,64525180,64836345,64844826,65164872,65419644,65778922,65792100,65973082,66058005,66146099,66200874,66376639,66635888,66713386,67406671,67502795,67503514,67518923,67830611,67947656,68227611,68231706,68383910,68435410,68748150,69158768,69173583,69336163,69490186,70094961,70117611,70178240,70461872,70573906,70801660,70877002,71687164,71895471,72174874,72312783,72434251,72554284,72833883,73310481,73331360,73532179,73835803,74141242,74300874,74661683,74965374,76157434,76285180,76316154,76364555,76441113,76709074,77186125,77203162,77362005,77430216,77489839,77657674,77775676,77803614,77850460,78253329,78279859,78423531,78536872,78565595,78950520,79142991,79269606,79930027,79963791,80077667,80112892,80206120,80212595,80795026,80987631,81003354,81364271,82060692,82111083,82122492,82452623,82497780,82519472,83638383,83896714,84042995,84047099,84091474,84213888,84247791,84271816,84588755,84732604,84914697,84961992,85565211,85578442,85788667,86008684,86248283,86478634,86739322,86766143,87108993,87281871,87428122,87778351,87997632,88353981,88398995,88539466,88589931,88819335,88938811,88956946,89119570,89192283,89681320,90026555,90231885,90349660,90553786,91001325,91542216,91637466,92097625,92623350,92760185,92788251,92834406,92863531,93044899,93158725,93194479,93420552,93420844,93583131,94035513,94247260,94278714,94601596,94740624,94772571,94805793,94823770,95157436,95260522,95532787,95582241,95966555,96247344,96254659,96255114,96878026,97068080,97239994,97691300,97866559,98123194,98494522,98629114,98798240,98997336,99150971,99188195,99206332,99344722,99419887,99593583,...,17456218097992922301266372021964355165250784661867482774602874589955890173097880816450953700230250974197135109245071651590339084372176992422654559845690220167971127148246446982692098501446551545223760054875347482357311530847955185304832275128774575427471811832463106341754998053934856716657741201262253747075343186618877495486888873446264138300450376737954739185838994760581116833826870610231479312344200443470751253998278449506940685979234681447016674411326268868769275364608861585362383946939826598303348597943336768963528264574610819344545174555597300144444104858226701905231224563233636457045749055717871004682946896434127415982844404758652420708116786741567227488881938473463461125378462405017826765417162725430948009848185351087628454752446757697795528733484793969975395627955983988573558062710449665527966595177737004807681080169575499147845038667242037747039040826250745504238681966428760207226398362979005566830973217296979829949480590353136679175971230202048605432929054975023174246015121619283200101990703884692499395205558429660772520617166222325370200142630369671649566147442903756880678579336555504225512851799469919228316621825091847715104445069920632474790519752144693905585155376015833574097403355761622131346497677778410809992224282455011961988267577741177688107209427892641619896207113340317122766051272619214775675549596116087730194641555506407620545261893186711495907928290907849410859545307623965419593286709621067095754491489826594320877699652675673854645074944657275297187500203289079721023066342833608522331527297671970438442729562369127518022096641554462182862899678150002791087999040694510652521584285469384816834895506864250401799740407055179706400663012482046293674030191304182104668096740346892549054893185025485379320195762778001706262099015692443870807530869441597910836132463288447239554968794600826930777404770055999416220226903720533756158272528059965778058344261870457067948883068533696182571200118187511613408607661497849628223548345364234139444762484013683090708034657498251683732102881813177593057389131333081414212316665828460212533691826146472686330419209002034048415235606310024479051177420312712500181198716596868704829759214940872208917729721014816856327776643044918426201800714693734721105940293095899620746364882906059320460067198427849171070520803205576126308206980194960820952940085317982386087710083319711618535676588128288781918620955275328105710361458166759336353044734203801580861753610411722037328206709999436773712430544166773639034065305634954145724542539223353062938404662281991074133594936341005226083581263742105939867902667739554435243285570880546611932649477938703684576428583357255268948962423702076051417381596886732366573324514447712450115048115267218768374198930758103153231811738807746408976877340749394395830057724269678377479405452158143158604063316257246092713719455394561574180072885427551374386010100919717462097199273713050243324682548081133084721457625124083688222876633702779707606738435476478503563941786046278515559986608369054044952470600023476974168607084569825800285572866806548029436333828111100762421345013284209422194127611978212028581362306422524467337475799032313788458088702261609607072334507}
19966 260836657551265721948017747185446397511213052109794111289332522705175401: {59889,99805,119766,339133,578173,936193,1037348,1055389,1474598,1755512,1974951,2243389,2904086,2932503,3424189,3426068,3491075,3668408,3854198,4091366,4126959,4189290,4468576,4480753,4714753,4987250,5027148,5065213,5298493,5649044,5807588,5983526,5984700,6383680,6455126,6533432,7181640,7350111,7487288,7500289,7615453,7660416,7954863,8023844,8079345,8335766,8423199,8617968,8655908,9266055,9470075,9695214,9789889,9883792,9903613,10108059,10906598,10923889,11119266,11139446,11296952,11364090,11375473,11488189,11808548,11862515,12121696,12135543,12499393,12709071,13058653,13636908,14235018,14254955,14384198,14447075,15477063,15498013,15731348,15827953,16455206,16669844,16886639,16913846,16923073,16946450,16994168,17105946,17336490,17607188,17685373,17829398,17874519,17981439,18057926,18119389,18425075,18492256,18970598,19118439,19306993,19309263,19843933,19990455,20335286,20335740,20699293,20723348,20803788,21015686,21242198,21323152,21406475,21691456,21867889,22110090,22121444,22372598,22396189,22817533,22922689,23584096,23988546,24082071,24123770,24398246,24402888,25207655,25399738,25528189,25687770,26443448,26455153,26532108,26635286,27400288,27453249,27687908,27970598,27983823,28088689,28149908,28192646,28575155,28595389,28734459,28794515,28857926,28897755,28948524,29079398,29603389,29687828,29748879,30004573,30249186,30824272,30825324,31002493,31146488,31201213,31506086,31597789,31988708,32754068,32907044,33074689,33314075,33465793,33478598,33671444,33697046,33953053,33961895,34147453,34290186,34438513,34453783,34553418,34677306,35039799,35186271,35596273,35959844,36285340,36362353,36771128,36933889,37131423,37329428,37547315,37604486,37974973,38241044,38848148,39575672,39659773,39755126,39976890,40040583,40515044,40522955,40585693,40754274,40770013,40821650,40989839,41229553,41322615,41367519,41442488,41504413,42027044,42052189,42642016,42868993,42942039,42984172,43320253,43523015,43542408,43779619,44013206,44077456,44204075,44289044,44395933,44479127,44522631,44841073,44915458,45056778,45637789,45769191,46622799,46631355,47087439,47315931,47733853,47972268,48627546,48630566,48680689,48985209,48985980,49219690,49462598,49587138,49688468,49740112,50042353,50435108,51031844,51121475,51218689,51326246,51836200,51925988,52050289,52227618,52251712,52470755,52767686,52792573,53044890,53588198,53691889,53694555,54406406,54518303,54814646,54860315,55623793,55782913,55957626,56056475,56441846,56495389,56581216,57019263,57118868,57274192,57656198,57709844,58057789,58135153,58306402,58315725,58664198,58783176,58980615,59063628,59134333,59454199,59983928,60090711,60513922,60669398,60869126,60904952,61170673,61345770,61405960,61654138,62203440,62205889,62745272,62859044,62912656,62964906,63005588,63452486,63541610,63650198,63653868,63847766,63947713,64164940,64309479,64433466,64546295,64803073,64833446,65435488,65501432,65513591,65718013,65832378,66131073,66350336,66403046,66413533,66551773,66727595,67170289,67241444,67267770,67387028,67481919,67574198,67751439,67782973,67880075,68456893,68518071,68719763,68937531,69081705,69421844,69520189,69848689,69978870,70180355,70286726,70500289,70588431,70772207,70776738,71080573,71276955,71375271,71440598,71527873,71632406,71752288,71781889,72097789,72204538,72462308,72724189,72972733,73542566,73614924,73687152,73689111,73711453,73737839,74088586,74341743,74412231,74492246,74625428,74644128,74693663,74835683,74919613,75103899,75438326,75689473,75806833,75844383,76028752,76192598,76249932,76274315,76331389,76474232,76997928,77455554,77701693,77814013,77883290,78037789,78254966,78294968,78471155,78811933,79356253,79358948,79501844,79536111,79732993,79743926,80027655,80044143,80073114,80099439,80358548,80656475,80669846,80721324,80789953,81456090,81461533,81684123,81742983,81774555,82221313,82240125,82271389,82495268,82510886,82579211,82804839,82817473,82898046,83205908,83294860,83791046,83974644,84215389,84216426,84344091,84497053,84624788,84934570,85362832,85371889,85532346,85777213,85866493,85999873,86033511,86220733,86330198,86448460,86459768,86483389,86510486,86622669,86743453,86886496,87226192,87722800,87947606,88004893,88077340,88081839,88208833,88267832,88502075,88571389,89123773,89394673,89547889,89608955,89888413,89925889,90259933,90355727,90515713,90660289,90692855,90839389,90882231,90970148,90975608,91016689,91529178,91664200,91676198,92207389,92231444,92379206,92499313,93429398,93430273,93459948,93490148,93638173,93929053,93962391,94165386,94184689,94461889,94570753,94867143,94968733,94994689,95123389,95356475,95721791,95860628,95881153,95996893,96032198,96033186,96417044,96787770,97055293,97111844,97113073,97219595,97267239,97300993,97313075,97586689,97672189,97739293,97747308,97749398,97996189,98129466,98147389,98171090,98277313,98374333,98602598,98619889,98668383,98688150,98750173,98959623,99067832,99088753,99133213,99293053,99301311,99362173,99394033,99406273,99452198,99457789,99463153,99530689,99534973,99566653,99590593,99602689,99627889,99637789,99651073,99657373,99953832,...,23274957463990563068355162695952473553667712882489977032803832786607853564130507755267938266973667965596180145660095535453785445829569323230206079794253626890628169530995262643589464668595402060298346739833796643143082041130606913739776366838366100569962415776617475122339997405246475622210321601683004996100457582158503327315851831261685517733933835650606318914451993014108155778435827480308639083125600591294335005331037932675920914638979575262688899215101691825025700486145148780483178595919768797737798130591115691951371019432814425792726899407463066859258806477635602540308299417644848609394332074290494672910595861912169887977125873011536560944155715655422969985175917964617948167171283206690435687222883633907930679797580468116837939669929010263727371644646391959967194170607978651431410750280599554037288793570316006410241440226100665530460051556322716996052054435000994005651575955238346942968531150638674089107964289729306439932640787137515572234628306936064807243905406633364232328020162159044266802654271846256665860274077906214363360822888296433826933523507159562199421529923871675840904772448740672300683802399293225637755495766789130286805926759894176633054026336192925207446873834687778098796537807682162841795330237037881079989632376606682615984356770321570250809612570523522159861609484453756163688068363492286367567399461488116973592855407341876827393682524248948661210571054543799214479393743498620559457715612828089461005988653102125761170266203567565139526766592876367062916666937718772961364088457111478029775369730229293917923639416492170024029462188739282910483866237533337054783998720926014203362112380625846422446527342485667202399653876073572941867550683309395058232040255072242806224128987129190065406524246700647172426927683704002275016132020923258494410041159255463881114843284384596319406625059467769241036539693407999221626969204960711674877696704079954370744459015827276090598510758044928243428266824250015484544810215330466170964731127152312185926349978684910787610712876664335578309470509084236790743185508444108552283088887771280283378255768195296915107225612002712064553647475080032638734903227083616666908264955462491606439678953254496278556972961353089141770368857393224568269067619591646294807920390794532827661819843874745760613422931237132228094027737607434835077609306926614427937253447090643181450280111092948824714235450837718375891494607033770807613815277555679115137392978938402107815671480548962716437608946665915698283240725555698185378753740846605527632723385631137417251206216375988098844793248454673634778108351656141253157203556986072580324380761174062149243532637251604912768571444476340358598616564936101401889842129182309822097766019263616600153397487022958357832265241010804204309082318410328545302503120999192527773410299026237836639207269544190878138751088342994790284959273859415432240097180570068499181346801226289949462932364950733657766243397441510779628610166832111584297168844937039610142317913968638004751922381395038020746648811158738726603294133364635965558142779426434400380763822408730705915111770814801016561793351045612562925503482637616038108483075230032623116634398709751717944118269682146142763112676}
19967 261848256414586698631671251084701388522219715346993845944943936387657152: {79852,159688,179649,1296685,1536073,1556022,2194390,2211897,2633268,3209857,3910004,4166833,4282585,4356129,4406077,4585510,5139102,5502612,5585720,5716753,5781297,6137049,6283935,6356713,6551377,6702864,7061305,7259485,7456438,7480875,7540722,7791457,7979600,8107033,8166790,8473566,8648318,8711382,8975289,8977050,9359110,9418849,9575520,9682689,9800148,9884833,10029805,10213888,10497313,10606484,10613629,10772460,10819885,10975369,11230932,11490624,12035766,12354740,12503649,12525277,12926952,12983862,13477412,14121190,14197969,14387294,14542821,14658193,14760685,14825688,14869897,15152120,16180724,16359897,16678899,16709169,16945428,17046135,17712822,17961526,18182544,18657758,18980024,19449793,19640134,19664185,19950673,20455362,20624893,20636084,20837305,21074302,21242710,21352527,21576297,22008985,22295569,22493449,22807928,23115320,23138017,23597022,23832692,23975252,24247129,24664849,24682809,25004766,25370769,25419675,25491252,25658919,25745684,25904185,26004735,26066989,26410782,26563942,26653940,26744097,26971238,27086889,27111433,27114320,27253177,27651805,27738384,28032337,28455897,28978273,29146429,29480120,29867233,30049693,30171613,30502929,30503610,31085022,31205682,31523529,31547126,31863297,31984728,32109428,32174737,32537184,32737597,33054310,33165135,33182166,33558897,34250360,34609885,34628713,35187385,35376144,35488849,35982819,36094417,36185655,36262177,36597369,36604332,36765373,37109785,37311764,37914649,38099607,38312612,38530340,38531655,38567774,38598032,38933110,38940913,39665172,39798162,39897334,39952929,39985885,40332248,40336753,40906153,40942585,41100432,41133805,41531862,41955897,41956849,42089305,42224862,42288969,42817753,43286889,43422786,43522598,43619097,44113366,44136913,44531742,44949805,45356675,45373779,45720248,45963910,46071224,46095289,46144477,46236408,46237986,46661785,46719732,46915028,47003329,47259129,47801305,47983062,48058273,48489382,48560185,49071529,49131102,49324726,49360566,49469590,49488697,49508564,49692313,50114918,50155933,50217897,50507166,50545569,50643805,51081769,51435279,51803110,51830127,51835993,52015959,52485937,52533805,52827517,53029406,53291833,53302520,53387444,53730215,53939766,54217414,54339032,54428010,54461558,54902113,55048574,55074553,55096820,55156692,55361305,55689073,55789549,55812733,55994142,56235062,56406729,57256052,57313753,57361566,58056544,58164157,58214377,58253833,58272222,59363508,59420029,59632689,59640734,59696569,59965335,60075704,60611209,60772566,61025588,61131411,61232475,62110585,62163732,62175140,62517097,62783252,63040566,63043885,63087908,63789805,63963024,64157473,64184749,64476258,64795250,64836728,64907485,65313612,65314640,65336413,65807677,66019809,66116184,66152797,66433566,66525158,66817633,66914953,67373187,67525729,67585167,68508097,68741089,69636824,70726520,70803793,70812529,71398585,71592740,71604182,71958402,72137305,72181558,72941319,72945849,73478970,73669633,73829535,73927993,74193897,74380707,74532702,74610168,74669209,74692478,74785057,74847553,74888749,74979910,75652297,75652662,75963457,76025684,76118449,76131190,76322918,76547766,76757450,76764829,76989369,77234353,77388553,77665502,77738726,77754300,77888982,78099037,78341427,78377568,78431473,78431590,78573805,78640820,78669373,78751504,78756985,79151529,79567335,79603657,80120948,80206175,80349049,80382297,80747773,81278182,81609609,81616513,81794360,81876790,82221969,82273369,82527518,82937920,83044126,83936439,83953208,84051805,84055633,84233785,84662769,84871824,85414153,85678302,85745972,85911288,86484297,86564766,86684353,86774929,86777305,86945953,87459603,87674689,87776504,87996297,88020577,88174764,88595442,89035513,89498569,89679638,89690360,89890886,89975892,90001213,90335252,90577885,90770883,91004097,91303689,91357428,91793629,91916708,92018655,92108940,92181286,92481207,93281785,93305160,93934993,94080793,94117908,94288566,94368984,94447359,94503913,94508382,95035940,95167028,95178729,95312415,95475297,95480802,95572342,95592790,95646494,95737474,95771649,95809574,96247410,96345073,96650199,97250169,97444009,97868710,98153232,98249536,98252148,98470838,98516638,98748567,99122324,99150662,99198685,99216308,99377305,99525504,99604569,99639577,...,34912436195985844602532744043928710330501569323734965549205749179911780346195761632901907400460501948394270218490143303180678168744353984845309119691380440335942254296492893965384197002893103090447520109750694964714623061695910370609664550257549150854943623664926212683509996107869713433315482402524507494150686373237754990973777746892528276600900753475909478371677989521162233667653741220462958624688400886941502507996556899013881371958469362894033348822652537737538550729217723170724767893879653196606697195886673537927056529149221638689090349111194600288888209716453403810462449126467272914091498111435742009365893792868254831965688809517304841416233573483134454977763876946926922250756924810035653530834325450861896019696370702175256909504893515395591057466969587939950791255911967977147116125420899331055933190355474009615362160339150998295690077334484075494078081652501491008477363932857520414452796725958011133661946434593959659898961180706273358351942460404097210865858109950046348492030243238566400203981407769384998790411116859321545041234332444650740400285260739343299132294885807513761357158673111008451025703598939838456633243650183695430208890139841264949581039504289387811170310752031667148194806711523244262692995355556821619984448564910023923976535155482355376214418855785283239792414226680634245532102545238429551351099192232175460389283111012815241090523786373422991815856581815698821719090615247930839186573419242134191508982979653188641755399305351347709290149889314550594375000406578159442046132685667217044663054595343940876885459124738255036044193283108924365725799356300005582175998081389021305043168570938769633669791013728500803599480814110359412801326024964092587348060382608364209336193480693785098109786370050970758640391525556003412524198031384887741615061738883195821672264926576894479109937589201653861554809540111998832440453807441067512316545056119931556116688523740914135897766137067392365142400236375023226817215322995699256447096690728468278889524968027366181416069314996503367464205763626355186114778262666162828424633331656920425067383652292945372660838418004068096830471212620048958102354840625425000362397433193737409659518429881744417835459442029633712655553286089836852403601429387469442211880586191799241492729765812118640920134396855698342141041606411152252616413960389921641905880170635964772175420166639423237071353176256577563837241910550656211420722916333518672706089468407603161723507220823444074656413419998873547424861088333547278068130611269908291449085078446706125876809324563982148267189872682010452167162527484211879735805335479108870486571141761093223865298955877407369152857166714510537897924847404152102834763193773464733146649028895424900230096230534437536748397861516206306463623477615492817953754681498788791660115448539356754958810904316286317208126632514492185427438910789123148360145770855102748772020201839434924194398547426100486649365096162266169442915250248167376445753267405559415213476870952957007127883572092557031119973216738108089904941200046953948337214169139651600571145733613096058872667656222201524842690026568418844388255223956424057162724612845048934674951598064627576916177404523219214144669014}
19968 262863750937641638481916195687583461674253048413548873826045630540062225: {99815,119778,139727,199610,239532,379031,618047,678266,817007,1156346,1571231,1872386,2006567,2074696,2110778,2125127,2334033,2519807,2949196,2953031,3291585,3306767,3511024,3777407,3949902,4486778,4520231,4754207,4887505,4948967,5299031,5337887,5532047,5808172,5865006,6035927,6848378,6852136,6878265,6982150,7039631,7336816,7708396,7708653,7769687,7999631,8182732,8253918,8378580,8937152,8961506,8992727,9106967,9335231,9429506,9563207,9715031,9974500,10054296,10130426,10131887,10510007,10596986,10623287,11184657,11188607,11298088,11311083,11376647,11615176,11967052,11969400,12250185,12710349,12724631,12767360,12910252,12972477,13066864,13067073,13258105,13465575,13506167,13654631,13840031,14038665,14363280,14542727,14616527,14700222,14974576,15000578,15095447,15230906,15320832,15443425,15536327,15829607,15866231,15909726,16047688,16158690,16607521,16671532,16815647,16846398,16846765,16924847,17235936,17311816,17832047,18053649,18373967,18532110,18940150,19129631,19344887,19390428,19475793,19579778,19767584,19807226,19846031,19881767,19956937,20203031,20216118,20225905,20914631,21181785,21269231,21580941,21813196,21847778,22011287,22187447,22238532,22278892,22593904,22728180,22750946,22976378,23170247,23380031,23617096,23725030,23868407,24077231,24216287,24243392,24271086,24389927,24998786,25418142,25668647,25795105,26117306,26458007,26492231,26569233,26799887,26868167,26942289,27273816,27481247,27888527,27986637,28470036,28509910,28768396,28834367,28894150,28901687,29338487,29405567,29460201,29790865,29840807,29969065,30341327,30507767,30683043,30954126,30996026,31039031,31462696,31611453,31655906,31864065,32182105,32325407,32489447,32910412,33317425,33339688,33469487,33773278,33827692,33846146,33859487,33892900,33988336,33989231,34211892,34442327,34672980,35214376,35290717,35370746,35395533,35600231,35658796,35728247,35749038,35888087,35962878,36111527,36115852,36238778,36398231,36557231,36850150,36984512,37317647,37507149,37941196,37979231,38010647,38167607,38236878,38480927,38613986,38618526,38762231,39198527,39416087,39616173,39687866,39695231,39845913,39980910,40005217,40136785,40312321,40436447,40456857,40670572,40671480,40774631,40805327,41264807,41398586,41446696,41607576,41722487,41996231,42031372,42148031,42420767,42484396,42646304,42812950,43054631,43325207,43382912,43735778,44220180,44242888,44401031,44430767,44745196,44792378,44846231,45023807,45289631,45407567,45635066,45755415,45812173,45845378,45848687,46288007,46627533,46639705,46783727,46808523,47045231,47168192,47320689,47546653,47739407,47890765,47977092,48084767,48162925,48164142,48247540,48442537,48796492,48800567,48805776,48943127,49581465,49773249,49879007,50048231,50301527,50415310,50799476,51056378,51375540,51419447,51475007,51835367,52001231,52139231,52566241,52798847,52886896,52910306,53064216,53270572,53399447,53779631,53942087,54800576,54906498,55097927,55258031,55375816,55816127,55941196,55967646,56177378,56299816,56385292,56423327,56732137,56974031,57150310,57190778,57468918,57521207,57589030,57715852,57795510,57851661,57858167,57897048,58158796,58168007,58245287,58373927,58399665,58643785,59014127,59206778,59375656,59497758,59697243,59846001,60009146,60204167,60430031,60498372,60680231,60932221,61178231,61648544,61650648,61885705,62004986,62292976,62297793,62384807,62402426,62433647,62750327,62798927,63012172,63195578,63337293,63475967,63977416,64456031,64811231,64952807,65134179,65283897,65508136,65749631,65814088,65959007,66149378,66170049,66237167,66445031,66560231,66583247,66628150,66698207,66734305,66797613,66931586,66957196,67247231,67338287,67342888,67394092,67678607,67814231,67906106,67923790,67927031,68294906,68580372,68599631,68871025,68877026,68907566,68945865,68955407,69106836,69132527,69354612,69356979,69682727,69792167,70079598,70336367,70372542,70595807,71089847,71111231,71192546,71218031,71537231,71570065,71664407,71919688,71974593,72295967,72570680,72724706,72734073,73126847,73435127,73459057,73542256,73598807,73696653,73867778,73987089,74040849,74204385,74208047,74262846,74349167,74658856,74830031,74949527,75048887,75094630,75172377,75208972,75227231,75601607,75640847,75760749,75817031,75836567,75949946,76281985,76283687,76482088,76515287,76688231,76764887,76804441,76879631,77051207,77089247,77146247,77425153,77696296,77704665,77718925,78178487,78479065,78731327,78822767,78841031,78859885,78950447,79098349,79114031,79151344,79319546,79385231,79510252,79544109,79636727,79744031,79761887,79851047,79953780,80081166,80081927,80293847,80818607,80870687,80909649,81030088,81045910,81171386,81326121,81472967,81508548,81540026,81642015,81643300,81692337,81979678,82099007,82459106,82572861,82645230,82681127,82735038,82845647,82884976,82976687,83008826,83318231,83639881,83991213,84054088,84101447,84104378,84180287,84337367,84352593,84509231,84524807,85284032,85444727,85489967,85715087,85737986,85789727,85884078,85893887,85938407,85968344,86012447,86042349,86101031,86640506,87046030,87084816,87325031,87408333,87409247,87479207,87559238,87867287,87894767,88018031,88026412,88031687,88154912,88274329,88408150,88477847,88578088,88624631,88791866,88902167,88954631,88958254,89020031,89045262,89421047,89461101,89485007,89490925,89682146,89801807,89830916,89977031,90113556,90364813,90529631,90541727,90577967,90781967,90936407,91112927,91158849,91183031,91241231,91275578,91517807,91538382,91699631,91801007,91857047,91990727,92090231,92189087,92460287,92524631,92588687,92641847,92737031,93245598,93262710,93264167,93294527,93395207,93415247,93418633,93455231,93594167,93741287,93799631,93886607,93944231,93953807,94096487,94174878,94181231,94404047,94422407,94459031,94540967,94560849,94586207,94631862,94649207,94720727,95032105,95198567,95416031,95449007,95467706,95779631,95944536,95974631,96058847,96134567,96305687,96356927,96378767,96422231,96465407,96628247,96714387,96739031,96800447,96814007,96881327,97136231,97192875,97231031,97255092,97261132,97361378,97480967,97539887,97593613,97762031,97892687,97951031,97970418,97971960,97982447,98003231,98049527,98252497,98294927,98301025,98323031,98364647,98392031,98439380,98592407,98733527,98768231,98824631,98914631,98925196,98962847,99045047,99125231,99151727,99174276,99180407,99186047,99227327,99261647,99266807,99304487,99376936,99381047,99383231,99412967,99437207,99456527,99480224,99482231,99555647,99587231,99597887,99611087,99641447,99643007,99650349,99652367,99656231,99664127,99673367,99674327,99677231,99677447,99787737,...,52368654293978766903799116065893065495752353985602448323808623769867670519293642449352861100690752922591405327735214954771017253116530977267963679537070660503913381444739340948076295504339654635671280164626042447071934592543865555914496825386323726282415435497389319025264994161804570149973223603786761241226029559856632486460666620338792414901351130213864217557516984281743350501480611830694437937032601330412253761994835348520822057937704044341050023233978806606307826093826584756087151840819479794910045793830010306890584793723832458033635523666791900433332314574680105715693673689700909371137247167153613014048840689302382247948533214275957262124350360224701682466645815420390383376135387215053480296251488176292844029544556053262885364257340273093386586200454381909926186883867951965720674188131348996583899785533211014423043240508726497443535116001726113241117122478752236512716045899286280621679195088937016700492919651890939489848441771059410037527913690606145816298787164925069522738045364857849600305972111654077498185616675288982317561851498666976110600427891109014948698442328711270642035738009666512676538555398409757684949865475275543145313335209761897424371559256434081716755466128047500722292210067284866394039493033335232429976672847365035885964802733223533064321628283677924859688621340020951368298153817857644327026648788348263190583924666519222861635785679560134487723784872723548232578635922871896258779860128863201287263474469479782962633098958027021563935224833971825891562500609867239163069199028500825566994581893015911315328188687107382554066289924663386548588699034450008373263997122083531957564752856408154450504686520592751205399221221165539119201989037446138881022090573912546314004290221040677647164679555076456137960587288334005118786297047077331612422592608324793732508397389865341718664906383802480792332214310167998248660680711161601268474817584179897334175032785611371203846649205601088547713600354562534840225822984493548884670645036092702418334287452041049272124103972494755051196308645439532779172167393999244242636949997485380637601075478439418058991257627006102145245706818930073437153532260938137500543596149790606114489277644822616626753189163044450568983329929134755278605402144081204163317820879287698862239094648718177961380201595283547513211562409616728378924620940584882462858820255953947158263130249959134855607029764384866345755862865825984317131084374500278009059134202611404742585260831235166111984620129998310321137291632500320917102195916904862437173627617670059188815213986845973222400784809023015678250743791226317819603708003218663305729856712641639835797948433816111053729285750071765806846887271106228154252144790660197099719973543343137350345144345801656305122596792274309459695435216423239226930632022248183187490173172809035132438216356474429475812189948771738278141158366183684722540218656282654123158030302759152386291597821139150729974047644243399254164372875372251064668629901108339122820215306429435510691825358138835546679959825107162134857411800070430922505821253709477400856718600419644088309001484333302287264035039852628266582382835934636085744086919267573402012427397096941365374266106784828821217003521}
19969 263883156016911366068754637601978702295877298588495846793352815031288571: {159704,179667,299415,319376,359298,1017399,1734519,1815359,2593370,2808579,3072146,3112044,3166167,3686495,4388780,4423794,4924439,5266536,5924853,5995619,6419714,6730167,6795107,7260215,7512479,7820008,8333666,8565170,8708099,8712258,8797509,8812154,9171020,9581039,9635495,9885827,10163279,10228415,10272567,10278204,10473225,11005224,11131367,11171440,11433506,11562594,11732291,12274098,12380877,12468125,12567870,12713426,13102754,13405728,13442259,13998839,14041727,14122610,14144259,14518970,14659667,14912876,14958815,14961750,15081444,15147839,15195639,15582914,15895479,15959200,16137815,16214066,16333580,16947132,17296636,17323319,17422764,17950578,17954100,18718220,18837698,19151040,19365378,19600296,19769666,20059610,20427776,20626967,20664959,20839415,20994626,21191687,21212968,21227258,21544920,21639770,21950738,22050333,22297811,22461864,22500867,22846359,22981248,22986119,23051351,23864589,24071532,24238035,24709480,25007298,25050554,25269597,25853904,25967724,26583167,26954824,27266495,27529859,27798165,27848615,28242380,28395938,28410225,28774588,28981187,29085642,29149367,29172227,29316386,29369667,29521370,29651376,29710839,29739794,30174647,30303251,30304240,30324177,30812579,31330259,31643399,32361448,32719794,32771667,33357798,33418338,33584951,33890856,34092270,34126419,34196327,34464567,35297639,35425644,35587545,35923052,35960495,36098339,36265859,36365088,36406629,36589079,36769079,37315516,37498179,37960048,38127213,38712527,38899586,39175959,39280268,39328370,39376007,39901346,40340819,40910724,41090711,41138015,41249786,41272168,41674610,41941367,42058439,42148604,42284615,42366125,42485420,42705054,42764865,43152594,43252451,43341225,43727267,44017970,44573495,44591138,44986898,45144815,45501551,45615856,46021079,46230640,46276034,46431189,46494039,46818119,47008067,47194044,47426495,47483859,47665384,47950504,48453839,48494258,49262339,49329491,49329698,49365618,49585367,49687367,50009532,50402579,50602799,50659917,50741538,50769219,50829167,50838215,50839350,50982504,51317838,51491368,51573239,51808370,51953699,52009470,52133978,52174847,52269767,52539215,52821564,53056119,53105495,53127884,53307880,53488194,53623557,53942476,53944317,54173778,54222866,54228640,54358167,54506354,54558167,55275225,55303610,55476768,55818359,55931495,55980239,56056631,56064674,56911794,56941487,57319619,57355317,57587327,57891299,57920979,57927789,57956546,58030319,58292858,58686947,58727279,58925027,58960240,59042519,59531799,59661887,59734466,59968007,59971365,60099386,60309425,60343226,60995615,61005858,61007220,61260719,62097879,62170044,62318567,62411364,62929727,63047058,63094252,63499345,63726594,63969456,64218856,64219425,64349474,64829279,65006999,65074368,65326499,65342999,65475194,65603667,65814359,66108620,66330270,66364332,66588215,66824399,66921827,67117794,67188567,67984259,68452599,68500720,68768067,68845439,69219770,69257426,69926495,70374770,70481615,70752288,70819667,70901327,70977698,71705411,71965638,72144815,72188834,72246213,72371310,72524354,72698495,72971279,73194738,73208664,73530746,73547327,73677059,73935479,74219570,74623528,74678531,75222301,75278951,75622965,75829298,76199214,76584567,76625224,76772567,77060680,77063310,77135548,77196064,77505827,77866220,77881826,78439379,78765215,79133651,79330344,79365459,79596324,79794668,79817831,79905858,79971770,80664496,80673506,81090167,81812306,81885170,82200864,82267610,82359747,82863239,83063724,83583299,83696495,83911794,83913698,83951469,84094847,84178610,84242615,84266067,84449724,84577938,85635506,85725465,85786167,86203377,86383545,86573778,86693265,86845572,86954819,87045196,87238194,87287159,87683567,88226732,88261439,88273826,88456199,88571111,88810167,89063484,89246637,89305727,89899610,89958167,90013719,90247511,90670367,90713350,90747558,90870479,91187219,91440496,91459199,91927820,92142448,92190578,92288954,92472816,92475972,93007479,93323570,93439464,93485879,93603639,93830056,93944531,94006658,94011215,94518258,94793367,94957967,95602610,95943779,95966124,95975447,96116546,96271367,96455879,96978764,97120370,98031527,98143058,98262204,98375939,98649452,98721132,98939180,98977394,99017128,99224067,99384626,99387815,99942225,99958019,...,69824872391971689205065488087857420661003138647469931098411498359823560692391523265803814800921003896788540436980286606361356337488707969690618239382760880671884508592985787930768394005786206180895040219501389929429246123391820741219329100515098301709887247329852425367019992215739426866630964805049014988301372746475509981947555493785056553201801506951818956743355979042324467335307482440925917249376801773883005015993113798027762743916938725788066697645305075475077101458435446341449535787759306393213394391773347075854113058298443277378180698222389200577776419432906807620924898252934545828182996222871484018731787585736509663931377619034609682832467146966268909955527753893853844501513849620071307061668650901723792039392741404350513819009787030791182114933939175879901582511823935954294232250841798662111866380710948019230724320678301996591380154668968150988156163305002982016954727865715040828905593451916022267323892869187919319797922361412546716703884920808194421731716219900092696984060486477132800407962815538769997580822233718643090082468664889301480800570521478686598264589771615027522714317346222016902051407197879676913266487300367390860417780279682529899162079008578775622340621504063334296389613423046488525385990711113643239968897129820047847953070310964710752428837711570566479584828453361268491064205090476859102702198384464350920778566222025630482181047572746845983631713163631397643438181230495861678373146838484268383017965959306377283510798610702695418580299778629101188750000813156318884092265371334434089326109190687881753770918249476510072088386566217848731451598712600011164351996162778042610086337141877539267339582027457001607198961628220718825602652049928185174696120765216728418672386961387570196219572740101941517280783051112006825048396062769775483230123477766391643344529853153788958219875178403307723109619080223997664880907614882135024633090112239863112233377047481828271795532274134784730284800472750046453634430645991398512894193381456936557779049936054732362832138629993006734928411527252710372229556525332325656849266663313840850134767304585890745321676836008136193660942425240097916204709681250850000724794866387474819319036859763488835670918884059267425311106572179673704807202858774938884423761172383598482985459531624237281840268793711396684282083212822304505232827920779843283811760341271929544350840333278846474142706352513155127674483821101312422841445832667037345412178936815206323447014441646888149312826839997747094849722176667094556136261222539816582898170156893412251753618649127964296534379745364020904334325054968423759471610670958217740973142283522186447730597911754814738305714333429021075795849694808304205669526387546929466293298057790849800460192461068875073496795723032412612927246955230985635907509362997577583320230897078713509917621808632572634416253265028984370854877821578246296720291541710205497544040403678869848388797094852200973298730192324532338885830500496334752891506534811118830426953741905914014255767144185114062239946433476216179809882400093907896674428338279303201142291467226192117745335312444403049685380053136837688776510447912848114325449225690097869349903196129255153832354809046438428289338028}
19970 264906486605437234527734206786140832074663956596209475528536236275422320: {139741,199630,239556,279454,399220,479064,538947,758062,856861,1236094,1356532,1571389,1634014,2046301,2164849,2312692,2520061,2992669,3110641,3142462,3744772,3816961,3890055,4013134,4149392,4169149,4221556,4250254,4608219,4668066,5039614,5338429,5485975,5571421,5898392,5906062,6583170,6613534,6635691,6842507,7022048,7194301,7309681,7554814,7899804,8574109,8973556,9031741,9040462,9488221,9508414,9629571,9716029,9775010,9897934,10170781,10511089,10598062,10624381,10675774,11064094,11463775,11616344,11730012,12071854,12500499,12763249,12847755,13068387,13218231,13696756,13704272,13756530,13964300,14079262,14100721,14211709,14433469,14544241,14673632,15097021,15416792,15417306,15539374,15867889,15999262,16365464,16507836,16757160,16853821,17150259,17343891,17507869,17874304,17923012,17985454,18213934,18411147,18561347,18641095,18670462,18808189,18851805,18859012,18916081,19070139,19126414,19430062,19654131,19883869,19949000,20108592,20260852,20263774,20416975,21020014,21183915,21193972,21246574,21620795,21778455,22369314,22377214,22442625,22596176,22622166,22752241,22753294,23230352,23374371,23397775,23585471,23905789,23934104,23938800,24114589,24321099,24500370,25420698,25449262,25534720,25820504,25944954,26133728,26134146,26495089,26516210,26536147,26802781,26905201,26925867,26931150,27012334,27309262,27518209,27680062,28077330,28230109,28256547,28316267,28432861,28726560,29048067,29085454,29233054,29400444,29654499,29949152,30001156,30089415,30190894,30344641,30444541,30461812,30544369,30641664,30886850,31072654,31491939,31659214,31732462,31736689,31819452,31835581,31840887,31934401,32033149,32095376,32317380,32459655,32525809,32722369,32926107,33215042,33343064,33631294,33692796,33693530,33849694,33895681,34471872,34623632,35302975,35664094,35828161,35924029,35968235,36107298,36113147,36115549,36747934,37064220,37353409,37510947,37575831,37880300,38014909,38203261,38259262,38689774,38766589,38780856,38951586,39159556,39420529,39535168,39614452,39692062,39763534,39913874,40406062,40432236,40441021,40451810,40809949,41361181,41707211,41727229,41829262,41956691,42001009,42363570,42538462,42593907,43161882,43270081,43626392,43628463,43695556,43719901,43974579,43988929,44022574,44257309,44282055,44374894,44435869,44477064,44557784,44609691,44903815,45054947,45058561,45187808,45456360,45501892,45952756,46205629,46293361,46340494,46644395,46760062,46818241,47079709,47234192,47450060,47600701,47736814,48119101,48154462,48432574,48486784,48542172,48549121,48779854,49079691,49100335,49743601,49997572,50036697,50127507,50836284,51138405,51337294,51590210,51592129,51841501,52234612,52685755,52916014,52984462,53106775,53138466,53599774,53736334,53884578,54056689,54141659,54547632,54622429,54962494,55184641,55264669,55777054,55973274,56191499,56940072,57019820,57250271,57536792,57668734,57788300,57803374,57865201,58349379,58406749,58676974,58811134,58920402,58992555,59021341,59326909,59403121,59581730,59681614,59852019,59938130,60161281,60682654,60687709,61015534,61366086,61874679,61908252,61992052,62078062,62511915,62758141,62925392,63222906,63311812,63728130,64057581,64364210,64487869,64559041,64650814,64728891,64978894,64984561,65196349,65295587,65688001,65820824,66026955,66409855,66591709,66634850,66679376,66729661,66886707,66938974,67047071,67428095,67480347,67546556,67655384,67687261,67692292,67718974,67785800,67976672,67978462,68093341,68423784,68884654,69345960,69414051,69823069,69895771,70428752,70581434,70669681,70741492,70791066,70927729,71120509,71200462,71248669,71312641,71317592,71376541,71456494,71498076,71776174,71925756,72074689,72223054,72231704,72477556,72639421,72741387,72796462,73114462,73136509,73700300,73934449,73969024,73994547,74048427,74419441,74635294,74720221,75014298,75078781,75846769,75882392,75958462,76021294,76022269,76112307,76259025,76335214,76473756,76961854,76976757,77118721,77227972,77237052,77524462,77712555,78014205,78200967,78397054,78742141,78797041,78832174,78851869,78867815,79015921,79232346,79375732,79390462,79691826,79772929,79961820,80010434,80146141,80199169,80232291,80273570,80305009,80624642,80673181,80872894,80881981,80913714,81244609,81260667,81334299,81341144,81342960,81549262,81610654,81756529,81759531,82101299,82361329,82411261,82529614,82635775,82797172,82893392,82955415,83215152,83444974,83875741,83992462,84062744,84097011,84113521,84296062,84349501,84536989,84841534,84968792,85092541,85292608,85367691,85457149,85625900,85671619,85727581,85950961,86109262,86128369,86392321,86436061,86639987,86650414,86653681,86696989,86765824,86934819,87439287,87471556,87756289,87921601,88044829,88440360,88485776,88651249,88730881,88770589,88802062,88861534,88928701,89490392,89511361,89584756,89601699,89692462,89701981,90003229,90047614,90149079,90226141,90514839,90555649,90579262,90591901,90736189,90772081,90815134,91270132,91508787,91510830,91543489,91624346,91690756,91697374,91982941,92016241,92576014,92667121,92762269,92856769,92981761,93105601,93255066,93279410,93319549,93428027,93479867,93567454,93617046,93707521,93766129,93824449,93968989,94090462,94336369,94336384,94391809,94556401,94570587,94641378,94745149,95093306,95239681,95464861,95478814,95489521,95589891,95611741,95781530,95803549,95827201,95954184,96169534,96325850,96328284,96419435,96481789,96495080,96524211,96755569,96837361,96885074,97036801,97114561,97247869,97322461,97332775,97395901,97574461,97592984,97601134,97611552,97862047,97886254,97893889,98082241,98097469,98127709,98212791,98345329,98386909,98494621,98572381,98755441,98857501,98922301,98932849,98974321,99053809,99082429,99146689,99162930,99207421,99256669,99288061,99361501,99402109,99475549,99495405,99546498,99552769,99561841,99587329,99617281,99669949,99675889,99684349,99687229,99693169,99697309,99743335,99758014,...,104737308587957533807598232131786130991504707971204896647617247539735341038587284898705722201381505845182810655470429909542034506233061954535927359074141321007826762889478681896152591008679309271342560329252084894143869185087731111828993650772647452564830870994778638050529988323609140299946447207573522482452059119713264972921333240677584829802702260427728435115033968563486701002961223661388875874065202660824507523989670697041644115875408088682100046467957613212615652187653169512174303681638959589820091587660020613781169587447664916067271047333583800866664629149360211431387347379401818742274494334307226028097681378604764495897066428551914524248700720449403364933291630840780766752270774430106960592502976352585688059089112106525770728514680546186773172400908763819852373767735903931441348376262697993167799571066422028846086481017452994887070232003452226482234244957504473025432091798572561243358390177874033400985839303781878979696883542118820075055827381212291632597574329850139045476090729715699200611944223308154996371233350577964635123702997333952221200855782218029897396884657422541284071476019333025353077110796819515369899730950551086290626670419523794848743118512868163433510932256095001444584420134569732788078986066670464859953345694730071771929605466447066128643256567355849719377242680041902736596307635715288654053297576696526381167849333038445723271571359120268975447569745447096465157271845743792517559720257726402574526948938959565925266197916054043127870449667943651783125001219734478326138398057001651133989163786031822630656377374214765108132579849326773097177398068900016746527994244167063915129505712816308901009373041185502410798442442331078238403978074892277762044181147825092628008580442081355294329359110152912275921174576668010237572594094154663224845185216649587465016794779730683437329812767604961584664428620335996497321361422323202536949635168359794668350065571222742407693298411202177095427200709125069680451645968987097769341290072185404836668574904082098544248207944989510102392617290879065558344334787998488485273899994970761275202150956878836117982515254012204290491413637860146874307064521876275001087192299581212228978555289645233253506378326088901137966659858269510557210804288162408326635641758575397724478189297436355922760403190567095026423124819233456757849241881169764925717640511907894316526260499918269711214059528769732691511725731651968634262168749000556018118268405222809485170521662470332223969240259996620642274583265000641834204391833809724874347255235340118377630427973691946444801569618046031356501487582452635639207416006437326611459713425283279671595896867632222107458571500143531613693774542212456308504289581320394199439947086686274700690288691603312610245193584548618919390870432846478453861264044496366374980346345618070264876432712948858951624379897543476556282316732367369445080437312565308246316060605518304772583195642278301459948095288486798508328745750744502129337259802216678245640430612858871021383650716277671093359919650214324269714823600140861845011642507418954801713437200839288176618002968666604574528070079705256533164765671869272171488173838535146804024854794193882730748532213569657642434007042}
19971 265933757713034365035730002557666276652349361845152386307731001316506304: {299445,319408,359334,419181,499025,598830,638752,718596,1137093,1695665,1854141,2034798,2413829,2451021,2890865,3469038,3630718,4680965,4713693,5044061,5161093,5186740,5276945,5617158,5761793,6019701,6144292,6224088,6332334,6375381,7002099,7372990,7559421,8030581,8777560,8847588,8859093,8983469,9848878,9874755,9920301,10164301,10295021,10533072,11216945,11332221,11849706,11991238,12839428,13285973,13460334,13489693,13560693,13590214,13879361,14262621,14319781,14520430,14662515,14846901,15024958,15533309,15640016,15897093,16013661,16596141,16667332,16746833,17120945,17130340,17325061,17416198,17424516,17455375,17595018,17624308,18107781,18342040,19162078,19270990,19771654,20326558,20456830,20545134,20556408,20634795,20942341,20946450,21118893,22010448,22262734,22342880,22403765,22592941,22867012,23053669,23125188,23125959,23309061,23366981,23464582,23573765,23998893,24548196,24761754,24936250,25044721,25135740,25326065,25426852,26205508,26492465,26811456,26884518,26978181,26989373,27320901,27997678,28005693,28083454,28245220,28288518,28689621,29037940,29145093,29175181,29319334,29825752,29917630,29923500,30162888,30295678,30391278,30395661,30569393,31165828,31530021,31646581,31790958,31869861,31918400,32275630,32428132,32667160,33433409,33553971,33565821,33894264,33933249,34087601,34129941,34593272,34646638,34845528,35812933,35901156,35908200,36359741,36750555,37436440,37501445,37675396,38077265,38114561,38131047,38173093,38173893,38302080,38730756,38917431,38988061,39200592,39201219,39539332,39774315,40119220,40396725,40413841,40518501,40855552,40963893,41094853,41253934,41329918,41520093,41678830,41989252,42115995,42383374,42425936,42454516,42826421,43089840,43279540,43628181,43849581,43901476,44100666,44595622,44923728,44959021,45001734,45286341,45692718,45962496,45972238,46102702,46330275,46535281,46608981,47350375,47488821,47598693,47729178,48143064,48476070,48639589,48828701,48949445,49250293,49418960,49518065,49822563,50014596,50101108,50344693,50446941,50539194,50540295,50560301,50774541,51116533,51240593,51707808,51935448,52111141,52326133,53166334,53496141,53644561,53909648,54160947,54416549,54532990,54619445,55059718,55121901,55596330,55697230,56484760,56791876,56809069,56820450,56877365,56983421,57219541,57388893,57440945,57549176,57593221,57962374,58034661,58114289,58171284,58298734,58344454,58427379,58632772,58739334,59042740,59198461,59302752,59312575,59421678,59479588,59538093,59645301,59667901,59870811,60349294,60606502,60608480,60609093,60648354,60677715,61625158,61773361,62402893,62496965,62660518,62743893,63202741,63286798,63545355,63807693,64170461,64722896,64742823,65293265,65439588,65543334,66033861,66249461,66397093,66562341,66715596,66836676,67169902,67781712,68184540,68252838,68392654,68929134,69108293,69357301,69510741,70140093,70595278,70851288,70871281,71173501,71175090,71274775,71605221,71846104,71920990,72196678,72231693,72235375,72399809,72456253,72531718,72648861,72730176,72813258,73169781,73178158,73538158,73554901,74347693,74631032,74686093,74996358,75920096,76126493,76254426,77005941,77385315,77399741,77425054,77490065,77799172,78003781,78304093,78351918,78560536,78656740,78752014,79139765,79374021,79476693,79707699,79802692,80399661,80604501,80681638,80826867,81098341,81821448,82181422,82276030,82443741,82477901,82499572,82544336,83113949,83349220,83665581,83744309,83882734,83959911,84116878,84297208,84433195,84569230,84615365,84732250,84970840,85322509,85393861,85410108,85525553,85529730,86056193,86274749,86305188,86503101,86504902,86682450,86705061,87454534,88015461,88035940,88216701,88380603,88426865,88899083,88966033,89146990,89182276,89372595,89491781,89522421,89907195,89973796,90064469,90289630,90596945,91003102,91023981,91231712,91523301,92042158,92049129,92125375,92461280,92552068,92862378,92891653,92988078,93117093,93223501,93636238,94016134,94388088,94834359,94852990,94967718,95330768,95592195,95901008,96534965,96546315,96907678,96976221,96988516,97468341,97897093,97931441,98524678,98658982,98659396,98674261,98731236,99170734,99219665,99374734,99933181,99952275,...,157105962881936300711397348197679196487257061956807344971425871309603011557880927348058583302072258767774215983205644864313051759349592931803891038611211981511740144334218022844228886513018963907013840493878127341215803777631596667743490476158971178847246306492167957075794982485413710449919670811360283723678088679569897459381999861016377244704053390641592652672550952845230051504441835492083313811097803991236761285984506045562466173813112133023150069701936419818923478281479754268261455522458439384730137381490030920671754381171497374100906571000375701299996943724040317147081021069102728113411741501460839042146522067907146743845599642827871786373051080674105047399937446261171150128406161645160440888754464528878532088633668159788656092772020819280159758601363145729778560651603855897162022564394046989751699356599633043269129721526179492330605348005178339723351367436256709538148137697858841865037585266811050101478758955672818469545325313178230112583741071818437448896361494775208568214136094573548800917916334962232494556850025866946952685554496000928331801283673327044846095326986133811926107214028999538029615666195229273054849596425826629435940005629285692273114677769302245150266398384142502166876630201854599182118479100005697289930018542095107657894408199670599192964884851033774579065864020062854104894461453572932981079946365044789571751773999557668584907357038680403463171354618170644697735907768615688776339580386589603861790423408439348887899296874081064691805674501915477674687501829601717489207597085502476700983745679047733945984566061322147662198869773990159645766097103350025119791991366250595872694258569224463351514059561778253616197663663496617357605967112338416643066271721737638942012870663122032941494038665229368413881761865002015356358891141231994837267777824974381197525192169596025155994719151407442376996642930503994745982042133484803805424452752539692002525098356834113611539947616803265643140801063687604520677468953480646654011935108278107255002862356123147816372311917484265153588925936318598337516502181997732727910849992456141912803226435318254176973772881018306435737120456790220311460596782814412501630788449371818343467832934467849880259567489133351706949989787404265835816206432243612489953462637863096586717283946154533884140604785850642539634687228850185136773862821754647388576460767861841474789390749877404566821089293154599037267588597477952951393253123500834027177402607834214227755782493705498335953860389994930963411874897500962751306587750714587311520882853010177566445641960537919667202354427069047034752231373678953458811124009655989917189570137924919507393845301448333161187857250215297420540661813318684462756434371980591299159920630029412051035433037404968915367790376822928379086305649269717680791896066744549562470519518427105397314649069423288427436569846315214834423475098551054167620655968847962369474090908277457158874793463417452189922142932730197762493118626116753194005889703325017368460645919288306532075476074416506640039879475321486404572235400211292767517463761128432202570155801258932264927004452999906861792105119557884799747148507803908257232260757802720206037282191290824096122798320354486463651010563}
19972 266964984406505684545146137496387687510592068074786002319790758070309132: {219571,279482,399260,458827,479112,539001,558908,798440,898245,958128,1055707,1077894,1174867,1516124,1650787,1713722,2472188,2599171,2713064,3052197,3142778,3268028,3542947,4092602,4329698,4599187,4625384,5040122,5183467,5203557,5446077,5985338,6114571,6221282,6284924,6483425,7489544,7617787,7633922,7680365,7780110,7847971,8026268,8192707,8298784,8338298,8422171,8425737,8443112,8500508,9216438,9336132,9498501,9792907,9906667,10079228,10676858,10971950,11040307,11059485,11142842,11491747,11604427,11796784,11812124,12615307,13166340,13174387,13227068,13271382,13685014,14044096,14388602,14619362,14619571,14773317,15109628,15502867,15799608,16049285,17148218,17774559,17908171,17947112,17986857,18063482,18080924,18449971,18976442,19016828,19205467,19259142,19432058,19550020,19795868,20064571,20190501,20341562,20385321,20812507,20834165,21022178,21196124,21248762,21351548,21412925,21780645,22030385,22128188,22537437,22927550,22930027,23035147,23232688,23460024,23559667,24143708,24290971,25000998,25526498,25695510,26097533,26124297,26136774,26392527,26436462,26566387,26873971,27393512,27408544,27513060,27894571,27928600,28158524,28201442,28423418,28583765,28705867,28743117,28866938,28906485,28907971,29088482,29347264,29411971,29657481,29713507,30194042,30269113,30489837,30685245,30817701,30833584,30834612,31078748,31360901,31409971,31419675,31735778,31783565,31998524,32730928,32756885,33015672,33085627,33394101,33514320,33707642,34300518,34546867,34687782,34837171,35015738,35196873,35306525,35748608,35846024,35970908,36297425,36427868,36822294,36946267,37041307,37122694,37142631,37231171,37282190,37340924,37404375,37616378,37703610,37718024,37832162,38140278,38252828,38860124,38957285,39308262,39766147,39767738,39898000,40217184,40326777,40521704,40527548,40535165,40833950,41996517,42040028,42066547,42125181,42157627,42367830,42387944,42432777,42493148,43241590,43556910,43979001,44738628,44754428,44856547,44876445,44885250,45192352,45244332,45443517,45476971,45504482,45506588,45586917,46460704,46748742,46795550,47094245,47170942,47230171,47686437,47811578,47868208,47877600,47923387,48229178,48413445,48642198,49000740,49210747,49424165,50059987,50149025,50355529,50841396,50898524,51069440,51487171,51641008,51889908,51969957,52068787,52151587,52267456,52268292,52486565,52990178,53032420,53068145,53072294,53605562,53792467,53810402,53851734,53862300,54024668,54099425,54618524,54876845,55004227,55036418,55324627,55360124,55456841,56154660,56460218,56513094,56632534,56865722,57453120,57535171,58096134,58156387,58170908,58466108,58800888,59232427,59308998,59840971,59898304,60002312,60178830,60381788,60444907,60689282,60889082,60923624,61088738,61193347,61283328,61773700,61860787,61880901,61994877,62145308,62449171,62518245,62626385,62814571,62865341,62983878,63318428,63347933,63464924,63473378,63575061,63638904,63671162,63681774,63868802,63899971,63985597,64043467,64066298,64190752,64472227,64634760,64919310,64969171,65051618,65302153,65444738,65852214,66150999,66369571,66430084,66686128,66715171,66893433,67262588,67264387,67385592,67387060,67502601,67699388,67791362,68416171,68539077,68740469,68750971,68943744,68958357,69154053,69247264,70605950,70989845,71172547,71328188,71492227,71593767,71656322,71810107,71848058,71936470,72214596,72226294,72231098,72714105,72815227,73290965,73495868,73556971,73740787,73760057,73803425,74045707,74128440,74349485,74706818,74716169,74889907,75021894,75068971,75151662,75661171,75760600,75808791,76029818,76406522,76518524,76708987,77110171,77379548,77507827,77533178,77561712,77789707,77903172,78069787,78236971,78319112,78514171,78841058,79070336,79228904,79384124,79443187,79527068,79749501,79827748,80812124,80864472,80882042,80903620,80927971,81083707,81619898,81799485,82306267,82589577,82604093,82722362,83341987,83394495,83414422,83454458,83545845,83658524,83913382,84002018,84533587,84720067,84727140,84859171,84951547,85076924,85181227,85187814,85230675,85544971,85859467,86302627,86323764,86521507,86540162,86565067,86943561,87209827,87252784,87256926,87379027,87391112,87439802,87448101,87516681,87713971,87920971,87949158,87977858,88045148,88109001,88514618,88564110,88651267,88749788,88871738,88954128,89115568,89132517,89150501,89219382,89807630,89967067,90004507,90109894,90117122,90375616,90523941,90629971,90881467,90909753,90912720,90917107,90972531,91003784,91269547,91682971,91905512,92119147,92411258,92413987,92437737,92586722,92671171,92680988,92973797,93202387,93288790,93445171,93520124,93535027,93636482,93829867,93990777,94159418,94230547,94258627,94399333,94453171,94468384,94508107,94900120,94930197,95041627,95067547,95170507,95201402,95372971,95473628,95750633,95929387,96045307,96238202,96308924,96425971,96785827,96847171,96865148,96973568,97084344,97098242,97248965,97277227,97514971,97559708,97723627,98048347,98063827,98159382,98200670,98315001,98320925,98685907,98746027,99059227,99162187,99223171,99304171,99341971,99391867,99457027,99487202,99520387,99592747,99648907,99664027,99682171,99686707,99696787,99698587,99753365,99995144,...,209474617175915067615196464263572261983009415942409793295234495079470682077174569797411444402763011690365621310940859819084069012466123909071854718148282642015653525778957363792305182017358618542685120658504169788287738370175462223657987301545294905129661741989557276101059976647218280599892894415147044964904118239426529945842666481355169659605404520855456870230067937126973402005922447322777751748130405321649015047979341394083288231750816177364200092935915226425231304375306339024348607363277919179640183175320041227562339174895329832134542094667167601733329258298720422862774694758803637484548988668614452056195362757209528991794132857103829048497401440898806729866583261681561533504541548860213921185005952705171376118178224213051541457029361092373546344801817527639704747535471807862882696752525395986335599142132844057692172962034905989774140464006904452964468489915008946050864183597145122486716780355748066801971678607563757959393767084237640150111654762424583265195148659700278090952181459431398401223888446616309992742466701155929270247405994667904442401711564436059794793769314845082568142952038666050706154221593639030739799461901102172581253340839047589697486237025736326867021864512190002889168840269139465576157972133340929719906691389460143543859210932894132257286513134711699438754485360083805473192615271430577308106595153393052762335698666076891446543142718240537950895139490894192930314543691487585035119440515452805149053897877919131850532395832108086255740899335887303566250002439468956652276796114003302267978327572063645261312754748429530216265159698653546194354796137800033493055988488334127830259011425632617802018746082371004821596884884662156476807956149784555524088362295650185256017160884162710588658718220305824551842349153336020475145188188309326449690370433299174930033589559461366874659625535209923169328857240671992994642722844646405073899270336719589336700131142445484815386596822404354190854401418250139360903291937974195538682580144370809673337149808164197088496415889979020204785234581758131116688669575996976970547799989941522550404301913757672235965030508024408580982827275720293748614129043752550002174384599162424457957110579290466507012756652177802275933319716539021114421608576324816653271283517150795448956378594872711845520806381134190052846249638466913515698483762339529851435281023815788633052520999836539422428119057539465383023451463303937268524337498001112036236536810445618970341043324940664447938480519993241284549166530001283668408783667619449748694510470680236755260855947383892889603139236092062713002975164905271278414832012874653222919426850566559343191793735264444214917143000287063227387549084424912617008579162640788398879894173372549401380577383206625220490387169097237838781740865692956907722528088992732749960692691236140529752865425897717903248759795086953112564633464734738890160874625130616492632121211036609545166391284556602919896190576973597016657491501489004258674519604433356491280861225717742042767301432555342186719839300428648539429647200281723690023285014837909603426874401678576353236005937333209149056140159410513066329531343738544342976347677070293608049709588387765461497064427139315284868014084}
19973 268000181809856764743681307061457596616146465902735279736731644441464613: {19973,419223,499075,598890,638816,698635,718668,838362,998050,1197660,1277504,1437192,1616841,1895155,2274186,2373931,2570583,2852707,3090235,3391330,3708282,4047211,4069596,4085035,4714167,4827658,4902042,5781730,5961163,6138903,6439651,6494547,6553351,6938076,7261436,7387723,7560183,7856155,8978007,9331923,9361930,9421687,9427386,9824011,10032835,10088122,10322186,10373480,10541383,10553890,10616827,10625635,11234316,11450883,11523586,11670165,12039402,12166843,12288584,12448176,12507447,12529051,12599035,12664668,12750762,13824657,14004198,14202247,14556403,14745980,14765155,15118842,15512227,15534871,15703723,15970867,16015287,16061162,16457925,16533835,16714263,16945963,17555120,17695176,17718186,17901787,17966938,18357547,18887035,19697756,19749510,19840602,19907073,20328602,20527521,20590042,21066144,21582903,21929043,22065571,22433890,22601155,22653571,22664442,23699412,23771035,23803747,23969323,23982476,24437525,24744835,25678856,25722327,26495155,26571946,26689435,26920668,26979386,26992087,27095223,27121386,27180428,27615523,27660235,27758722,27904267,28464663,28525242,28639562,28888713,29040860,29148087,29325030,29693802,30049916,30058771,30179635,30512343,30572467,31066618,31280032,31365271,31533267,31794186,31873143,32027322,32473507,32677627,33003271,33192282,33334664,33436771,33493666,34241890,34260680,34391325,34586971,34650122,34762603,34832396,34849032,34910750,35064307,35190036,35198155,35248616,35456491,36215562,36684080,37089451,37501497,37926103,38097907,38118403,38289747,38324156,38541980,38543265,38848435,39205161,39543308,39654693,39998155,40653116,40655467,40913660,41090268,41112816,41269590,41884682,41892900,42237786,42302163,42598627,42635127,42970603,43261207,43300407,43632723,44020896,44292043,44525468,44685760,44807530,44963635,45185882,45291063,45534835,45734024,45842071,46107338,46158451,46250376,46251918,46618122,46676155,46733962,46929164,47147530,47603667,47805427,47816035,47997786,48419767,48575155,48833623,49096392,49523508,49741387,49872500,50089442,50271480,50561463,50613043,50652130,50659435,50853704,51450777,52031673,52411016,52502023,52523607,52550035,52984930,53116435,53308171,53622912,53769036,53956362,53978746,54641802,54774427,54846403,55091191,55233441,55684041,55806403,55923285,55943035,55995356,56011386,56166908,56424567,56490440,56555415,56577036,56748243,56883235,56989207,57210417,57379242,57815371,58075880,58120147,58290186,58350362,58638668,58962393,59265067,59651504,59651607,59714647,59753083,59835260,59847000,60181411,60325776,60591356,60782556,60791322,60833971,60968563,61138786,61250925,62105347,62122171,62331656,62430763,63060042,63293162,63551745,63581916,63623155,63739722,63836800,64303867,64310467,64551260,64842403,64856264,64862385,65334320,65335365,66172891,66290525,66866818,67107942,67131642,67327875,67344043,67530835,67788528,67858027,67866498,68115643,68175202,68256723,68259882,68273155,68529223,69186544,69200155,69293276,69325291,69691056,70123113,70193325,70498003,70756413,71450947,71472523,71625866,71717367,71719927,71802312,71816400,72343767,72407107,72713635,72719482,72963297,73082635,73501110,74872880,75002890,75269587,75350792,75477235,75931507,76141747,76154530,76229122,76262094,76346186,76347786,76467223,76604160,76797211,77217125,77407543,77412247,77461512,77681635,77834862,77976122,78401184,78402438,78692683,79078664,79148035,79331155,79485267,79548630,79608441,79628311,80110171,80238440,80408343,80417323,80715603,80777601,80793450,80827682,81037002,81641527,81711104,81927786,82189706,82507868,82554627,82659836,83037605,83040186,83074267,83122327,83357660,83978504,84078235,84231990,84233825,84624235,84690327,84766748,84769641,84851872,84909032,84948801,85082551,85298583,85455187,85652842,85931371,86064931,86179680,86559080,86673547,86801287,87144201,87256362,87495751,87699162,87802952,87968947,88201332,88963497,89160235,89191244,89500843,89847456,89918042,90003468,90028651,90073687,90268245,90400327,90494371,90572682,91033923,91333623,91385436,91410571,91423867,91633107,91821427,91869835,91924992,91944476,92205404,92596471,92660550,93070562,93217962,94475817,94700750,94977642,95197386,95210067,95458356,95506743,95522661,95648155,95780011,95793367,95803203,96099447,96180451,96286128,96724435,96952140,97279178,97378965,97473883,97577427,97657402,97898890,98167107,98500586,98778321,98837920,98889571,98970547,99036130,99230155,99408835,99645126,99669751,99784685,...,314211925763872601422794696395358392974514123913614689942851742619206023115761854696117166604144517535548431966411289728626103518699185863607782077222423963023480288668436045688457773026037927814027680987756254682431607555263193335486980952317942357694492612984335914151589964970827420899839341622720567447356177359139794918763999722032754489408106781283185305345101905690460103008883670984166627622195607982473522571969012091124932347626224266046300139403872839637846956562959508536522911044916878769460274762980061841343508762342994748201813142000751402599993887448080634294162042138205456226823483002921678084293044135814293487691199285655743572746102161348210094799874892522342300256812323290320881777508929057757064177267336319577312185544041638560319517202726291459557121303207711794324045128788093979503398713199266086538259443052358984661210696010356679446702734872513419076296275395717683730075170533622100202957517911345636939090650626356460225167482143636874897792722989550417136428272189147097601835832669924464989113700051733893905371108992001856663602567346654089692190653972267623852214428057999076059231332390458546109699192851653258871880011258571384546229355538604490300532796768285004333753260403709198364236958200011394579860037084190215315788816399341198385929769702067549158131728040125708209788922907145865962159892730089579143503547999115337169814714077360806926342709236341289395471815537231377552679160773179207723580846816878697775798593748162129383611349003830955349375003659203434978415194171004953401967491358095467891969132122644295324397739547980319291532194206700050239583982732501191745388517138448926703028119123556507232395327326993234715211934224676833286132543443475277884025741326244065882988077330458736827763523730004030712717782282463989674535555649948762395050384339192050311989438302814884753993285861007989491964084266969607610848905505079384005050196713668227223079895233606531286281602127375209041354937906961293308023870216556214510005724712246295632744623834968530307177851872637196675033004363995465455821699984912283825606452870636508353947545762036612871474240913580440622921193565628825003261576898743636686935665868935699760519134978266703413899979574808531671632412864487224979906925275726193173434567892309067768281209571701285079269374457700370273547725643509294777152921535723682949578781499754809133642178586309198074535177194955905902786506247001668054354805215668428455511564987410996671907720779989861926823749795001925502613175501429174623041765706020355132891283921075839334404708854138094069504462747357906917622248019311979834379140275849839014787690602896666322375714500430594841081323626637368925512868743961182598319841260058824102070866074809937830735580753645856758172611298539435361583792133489099124941039036854210794629298138846576854873139692630429668846950197102108335241311937695924738948181816554914317749586926834904379844285865460395524986237252233506388011779406650034736921291838576613064150952148833013280079758950642972809144470800422585535034927522256864405140311602517864529854008905999813723584210239115769599494297015607816514464521515605440412074564382581648192245596640708972927302021126}
19974 269039365104511465217753686717006549933566862272563960723635579830472020: {219593,259493,439142,558964,737669,798520,898335,917654,936569,958224,1078002,1117816,1214693,1257543,1497075,1596880,1650953,1796490,1916256,2111414,2125769,2155788,2244293,2349734,2599433,3032248,3301574,3411279,3425573,3427444,3582533,3896069,4169993,4404473,4944376,5067269,5086995,5198342,5426128,5456069,5562423,5766533,6104394,6153893,6285556,6536056,7085894,7241487,7353063,7772069,8185204,8231813,8423033,8461253,8652233,8659396,8672595,9076795,9109769,9198374,9250768,9566153,9793913,10080244,10366934,10407114,10513253,10626569,10752511,10815269,10892154,11079113,11380169,11492933,11643173,11970676,12229142,12392453,12442564,12569848,12966850,12989573,13510373,14042895,14141079,14288633,14621093,14979088,15132183,15235574,15267844,15360730,15483279,15541193,15560220,15695942,15830835,16052536,16310213,16385414,16597568,16676596,16844342,16851474,16886224,16930169,17001016,17285379,17837669,18059103,18432475,18432876,18672264,18997002,19126143,19585814,19813334,20066693,20102393,20158456,21006297,21353716,21943900,22018313,22080614,22118970,22194533,22285684,22300169,22468999,22546373,22678263,22827269,22983494,23072633,23208854,23593568,23624248,23980553,24091743,24328313,24622195,25230614,25676933,26332680,26348774,26454136,26542764,26569253,26577279,26876873,26911013,26950407,27217913,27370028,27388133,27592133,28088192,28100873,28236233,28777204,29167831,29238724,29239142,29515769,29546634,29624265,29750213,29760903,29978095,30219256,30451193,30492903,30517769,30842539,30885063,31005734,31413413,31446473,31599216,31743653,32098570,32434553,33219833,33480569,33650835,33968069,33975535,33996663,34296436,34550693,34841033,34873253,35549118,35740169,35816342,35836133,35894224,35900069,35973714,35995913,36126964,36161848,36219269,36301075,36791813,36899942,36950393,37062883,37266953,37562395,37708793,37952884,38033656,38117669,38410934,38518284,38864116,39100040,39305093,39591736,39677669,39857919,40017271,40129142,40141769,40381002,40469079,40542533,40682079,40683124,40770642,41370569,41431673,41625014,41638083,41668330,41828069,42044356,42071333,42392248,42497524,42526073,42703096,42787863,42825850,42959343,43340069,43540495,43561290,43729913,43987545,44060770,44148233,44256376,44327033,44496991,44535269,44540703,45039353,45074874,45658853,45855100,45859639,45860054,45864569,46011269,46070294,46391753,46465376,46599927,46920048,47119334,47611769,47691279,47905195,47957753,48040983,48177475,48287416,48581942,48617669,48817673,48903269,49429135,49472069,49788423,49896569,50001996,50240499,50263013,50403593,50816395,51052996,51075593,51142075,51362835,51391020,51437669,51975183,52195066,52248594,52273548,52366125,52785054,52872924,53132774,53173193,53500169,53747942,54323343,54540199,54635513,54787024,54817088,55026120,55037573,55197893,55331273,55597433,55656835,55789142,55857200,55968713,56317048,56402884,56443769,56522693,56749231,56846836,57167530,57411734,57486234,57733876,57812970,57815942,58008569,58176964,58189253,58266569,58395269,58661455,58694528,58823942,58856933,59112293,59314962,59427014,59873573,60226373,60388084,60538226,60979674,61370490,61635402,61667168,61669224,61868453,61904385,62040569,62157496,62236793,62340625,62408069,62721802,62773769,62819942,62822393,62827023,62839350,62895269,63356679,63471556,63499769,63567130,63907973,63931913,63997048,64504073,64764773,65000933,65461856,65513770,65539903,65751269,65931943,65984069,66031344,66171254,66262373,66723653,66746633,66788202,67028640,67211295,67415284,67704569,67778823,68223173,68424953,68601036,68782073,69048569,69093734,69161007,69193831,69225593,69375564,69377877,69424133,69674342,69709769,69775493,69884873,69927183,69994195,70031476,70100943,70146569,70208635,70298693,70393746,70536953,70613050,70623353,70688069,70721295,70800631,71181833,71497216,71692048,71819513,71941816,71996679,72135653,72594850,72700169,72845573,72855736,72969893,73298335,73481191,73644588,73892534,74082614,74245388,74285262,74295403,74298233,74439269,74462342,74564380,74681848,74794075,74808750,74865739,75098873,75134163,75232756,75376073,75407220,75436048,75632069,75664324,75730169,75739195,75925769,75978195,76280556,76314569,76372613,76505656,76827583,77082569,77139653,77177669,77405093,77720248,77914570,78210569,78524933,78616524,78818693,78855269,78983033,79037669,79074053,79345913,79477395,79532294,79535476,79796000,79848569,80168393,80256773,80434368,80653554,80689075,80904569,80934543,80939273,80956613,80968119,81043408,81055096,81070330,81301733,81667900,81962703,82217573,82384613,82765769,83061113,83224073,83899769,83931593,83993034,84017079,84080056,84133094,84185033,84250362,84263813,84315254,84373769,84420773,84561353,84639173,84735660,84775888,84865554,84886853,84963833,84986296,85481993,85527269,85871993,85976069,86050169,86068863,86483180,86592293,86616595,86852069,87023813,87113820,87236873,87435279,87525543,87676939,87947813,87958002,88016393,88112069,88300927,88315769,88517669,88677893,89151653,89477256,89508856,89525753,89602313,89713094,89729273,89752890,89754569,89770500,90030713,90278393,90384704,90488664,90619769,90643913,90764153,90823973,90887034,90953942,91008964,91013176,91155269,91173834,91186983,91526213,91697273,91708179,91933733,92033993,92265413,92632613,92696453,92921408,93217253,93339269,93440069,93490169,93497484,93591100,93639269,93668873,93737669,93757253,93854693,93912773,93960953,94188490,94341884,94385573,94460342,94590063,94614473,94939743,95031269,95245769,95271173,95288069,95372874,95388773,95521253,95537669,95609583,95623156,95643593,95736416,95755200,95764133,95846774,96130169,96220793,96354569,96405893,96427769,96458356,96514553,96656633,96698633,96802373,96826890,96870533,96884069,96951269,97070213,97148069,97180169,97284396,97294073,97368569,97608569,97623019,97637669,97712393,97763333,97879673,97987193,98001480,98117093,98162633,98237093,98338313,98421494,98472293,98530169,98707913,98767973,98848330,98937353,99000569,99017669,99125513,99153413,99183653,99244553,99283193,99299273,99325433,99368069,99385783,99463493,99475973,99500069,99513593,99523013,99546569,99613433,99621833,99633893,99669413,99697733,99709193,99716453,99726713,99729353,99733769,99739769,...,471317888645808902134192044593037589461771185870422034914277613928809034673642782044175749906216776303322647949616934592939155278048778795411673115833635944535220433002654068532686659539056891721041521481634382023647411332894790003230471428476913536541738919476503871227384947456241131349759012434080851171034266038709692378145999583049131734112160171924777958017652858535690154513325506476249941433293411973710283857953518136687398521439336399069450209105809259456770434844439262804784366567375318154190412144470092762015263143514492122302719713001127103899990831172120951441243063207308184340235224504382517126439566203721440231536798928483615359119153242022315142199812338783513450385218484935481322666263393586635596265901004479365968278316062457840479275804089437189335681954811567691486067693182140969255098069798899129807389164578538476991816044015535019170054102308770128614444413093576525595112755800433150304436276867018455408635975939534690337751223215455312346689084484325625704642408283720646402753749004886697483670550077600840858056663488002784995403851019981134538285980958401435778321642086998614088846998585687819164548789277479888307820016887857076819344033307906735450799195152427506500629890605563797546355437300017091869790055626285322973683224599011797578894654553101323737197592060188562314683384360718798943239839095134368715255321998673005754722071116041210389514063854511934093207723305847066329018741159768811585371270225318046663697890622243194075417023505746433024062505488805152467622791256507430102951237037143201837953698183966442986596609321970478937298291310050075359375974098751787618082775707673390054542178685334760848592990990489852072817901337015249929198815165212916826038611989366098824482115995688105241645285595006046069076673423695984511803333474923143592575576508788075467984157454222327130989928791511984237946126400454411416273358257619076007575295070502340834619842850409796929422403191062813562032406860441939962035805324834321765008587068369443449116935752452795460766777808955795012549506545993198183732549977368425738409679305954762530921318643054919307211361370370660934381790348443237504892365348115455030403498803403549640778702467400055120849969362212797507448619296730837469860387913589289760151851838463601652421814357551927618904061686550555410321588465263942165729382303585524424368172249632213700463267879463797111802765792433858854179759370502502081532207823502642683267347481116495007861581169984792890235624692502888253919763252143761934562648559030532699336925881613759001607063281207141104256694121036860376433372028967969751568710413774758522181535904344999483563571750645892261621985439956053388269303115941773897479761890088236153106299112214906746103371130468785137258916947809153042375688200233648687411558555281316191943947208269865282309709538945644503270425295653162502861967906543887108422272724832371476624380390252356569766428798190593287479355878350259582017669109975052105381937757864919596226428223249519920119638425964459213716706200633878302552391283385296607710467403776796794781013358999720585376315358673654399241445523411724771696782273408160618111846573872472288368394961063459390953031689}
19975 270082549529528383808671513108999852846732240622674195008168510783626614: {39946,658713,698705,838446,978089,998150,1197780,1277632,1376481,1397270,1437336,1617003,1676724,1996100,2395320,2555008,2653217,2694735,2874384,3167121,3233682,3371381,3524601,3790310,4284305,4326329,4548372,4747862,4952361,5141166,5705414,5719049,6180470,6782660,7197257,7416564,7797513,7856945,8094422,8110289,8139192,8170070,9156591,9428334,9655316,9804084,10231505,10501529,10628841,10824245,10979777,10998617,11134721,11563460,11922326,12277806,12600305,12879302,12989094,13106702,13797561,13876152,14003057,14045969,14522872,14775446,14875889,14963345,15120366,15550401,15553205,15610671,15712310,15972473,16268921,16338231,17638649,17956014,18343713,18359393,18663846,18723860,18843374,18854772,18874661,19084805,19136393,19450275,19648022,20065670,20176244,20644372,20671217,20746960,20845745,21082766,21107780,21198089,21233654,21251270,22468632,22502513,22655849,22853361,22901766,23041095,23047172,23147369,23340330,23543913,24078804,24333686,24577168,24578121,24896352,25014894,25058102,25198070,25266513,25277211,25318697,25329336,25501524,26077493,26441849,26692145,27429875,27649314,27857105,27907073,28008396,28131701,28404494,28495503,29112806,29378721,29491960,29530310,29720001,30237684,31024454,31069742,31407446,31641617,31941734,32030574,32122324,32680913,32750789,32909393,32915850,33067670,33120921,33178455,33279449,33428526,33595097,33891926,34212535,34475241,34590449,34642769,34813281,35067833,35110240,35390352,35436372,35503193,35803574,35933876,35971505,36548405,36715094,36774761,37093217,37365209,37774070,37845921,38377781,38724329,38852321,39395512,39499020,39523161,39681204,39814146,40657204,41055042,41180084,42132288,42251489,42602921,42870545,43165806,43858086,43858713,44131142,44319951,44867780,45158705,45202310,45307142,45328884,45515297,45846713,46508601,46832297,47398824,47441105,47542070,47607494,47938646,47964952,48147855,48580145,48875050,49277417,49489670,49746401,50853905,51102353,51126881,51357712,51444654,51588857,52190609,52555445,52848869,52990310,53121905,53143892,53323677,53378870,53724513,53841336,53958772,53960571,53984174,54176993,54190446,54242772,54360856,54387809,54574649,55231046,55320470,55349913,55517444,55808534,55997417,56929326,56958689,57050484,57223361,57279124,57318875,57616401,57777426,58081720,58296174,58650060,59271041,59387604,59443973,59986289,60099832,60117542,60193713,60359270,60571503,60635633,60853829,61024686,61144934,61155963,61266953,61298921,62128433,62133236,62437521,62502495,62542289,62560064,62730542,62949089,63066534,63342161,63352313,63588372,63746286,63748769,63816245,64054644,64210613,64238775,64947014,65341935,65346617,65355254,66006542,66091155,66384564,66669328,66844697,66873542,66942449,66987332,67261577,67350881,67440641,67612311,68005217,68483780,68521360,68768873,68782650,68790081,69105441,69173942,69300244,69525206,69664792,69698064,69821500,70128614,70380072,70396310,70497232,70503605,70679001,70912982,70923209,71058545,71209349,71894693,72167345,72431124,72470921,72721205,72872913,72993377,73368160,73570049,73873013,73957937,74178902,74363009,75002994,75485105,75852206,75939161,76195814,76236806,76579494,76648312,77083960,77086530,77696870,78292599,78320249,78372891,78410322,79086616,79113089,79177581,79309386,79339445,79636529,79699161,79996310,80460593,80621913,80780549,81306232,81310934,81827320,82180536,82225632,82539180,83082641,83683713,83769364,83785800,84269105,84475572,84604326,85197254,85270254,85463801,85751295,85832177,85940033,85941206,86117601,86229351,86522414,86600814,86719455,86723913,87265446,87539345,87710201,88041792,88235913,88351973,88584086,88972443,89050936,89066249,89072417,89140521,89371520,89534897,89615060,89927270,89985701,90371764,90409481,90503633,90582126,90698009,90807339,91069670,91468048,91469511,91487201,91684142,92055735,92214676,92316902,92453103,92500752,92503836,92651033,92677829,92806735,93026153,93205475,93236244,93352310,93467924,93858328,94040945,94082703,94229913,94259025,94295060,94543169,94580405,95207334,95350695,95582417,95610854,95632070,95995572,96190217,96300521,96485441,96839534,96880217,97150310,97667246,98061689,98192784,98270655,99047016,99256881,99318593,99419345,99482774,99745000,...,628423851527745202845589392790716785949028247827229379885703485238412046231523709392234333208289035071096863932822579457252207037398371727215564154444847926046960577336872091376915546052075855628055361975512509364863215110526386670973961904635884715388985225968671828303179929941654841799678683245441134894712354718279589837527999444065508978816213562566370610690203811380920206017767341968333255244391215964947045143938024182249864695252448532092600278807745679275693913125919017073045822089833757538920549525960123682687017524685989496403626284001502805199987774896161268588324084276410912453646966005843356168586088271628586975382398571311487145492204322696420189599749785044684600513624646580641763555017858115514128354534672639154624371088083277120639034405452582919114242606415423588648090257576187959006797426398532173076518886104717969322421392020713358893405469745026838152592550791435367460150341067244200405915035822691273878181301252712920450334964287273749795585445979100834272856544378294195203671665339848929978227400103467787810742217984003713327205134693308179384381307944535247704428856115998152118462664780917092219398385703306517743760022517142769092458711077208980601065593536570008667506520807418396728473916400022789159720074168380430631577632798682396771859539404135098316263456080251416419577845814291731924319785460179158287007095998230674339629428154721613852685418472682578790943631074462755105358321546358415447161693633757395551597187496324258767222698007661910698750007318406869956830388342009906803934982716190935783938264245288590648795479095960638583064388413400100479167965465002383490777034276897853406056238247113014464790654653986469430423868449353666572265086886950555768051482652488131765976154660917473655527047460008061425435564564927979349071111299897524790100768678384100623978876605629769507986571722015978983928168533939215221697811010158768010100393427336454446159790467213062572563204254750418082709875813922586616047740433112429020011449424492591265489247669937060614355703745274393350066008727990930911643399969824567651212905741273016707895091524073225742948481827160881245842387131257650006523153797487273373871331737871399521038269956533406827799959149617063343264825728974449959813850551452386346869135784618135536562419143402570158538748915400740547095451287018589554305843071447365899157562999509618267284357172618396149070354389911811805573012494003336108709610431336856911023129974821993343815441559979723853647499590003851005226351002858349246083531412040710265782567842151678668809417708276188139008925494715813835244496038623959668758280551699678029575381205793332644751429000861189682162647253274737851025737487922365196639682520117648204141732149619875661471161507291713516345222597078870723167584266978198249882078073708421589258596277693153709746279385260859337693900394204216670482623875391849477896363633109828635499173853669808759688571730920791049972474504467012776023558813300069473842583677153226128301904297666026560159517901285945618288941600845171070069855044513728810280623205035729059708017811999627447168420478231539198988594031215633028929043031210880824149128765163296384491193281417945854604042252}
19976 271129750381818117161667037379817780894284883635337152731948938578411935: {59919,259519,439186,518986,878284,1117928,1257669,1475338,1497225,1597040,1796670,1835308,1873138,1916448,2095905,2156004,2165503,2235632,2429386,2495125,2515086,2994150,3111583,3193760,3229519,3301906,3592980,3832512,3935623,4222828,4251538,4311576,4404919,4488586,4699468,4850523,5198866,5456623,5685465,6064496,6603148,6822558,6851146,6854888,7121793,7165066,7196503,7311919,7427263,7711749,7792138,8339986,8462119,8478325,8558121,8808946,9270705,9491143,9719023,9888752,10134538,10173990,10396684,10627663,10852256,10912138,11124846,11533066,12069145,12141633,12208788,12255105,12307786,12431119,12571112,12707513,13072112,13660303,13994023,14142501,14171788,14216143,14454325,14482974,14548783,14706126,14770183,15544138,16370408,16463626,16846066,16922506,17295583,17304466,17318792,17345190,17883489,18153590,18219538,18381703,18396748,18416709,18501536,18922063,19132306,19318953,19483641,19587826,19660053,20104519,20160488,20733868,20814228,21026506,21065503,21253138,21505022,21630538,21784308,22158226,22163169,22680549,22760338,22985866,23286346,23404825,23568465,23941352,24226663,24458284,24784906,24885128,25139696,25220305,25805465,25933700,25979146,26384725,26400919,26913919,26934021,27016303,27020746,27425119,27995769,28085790,28265061,28282158,28442119,28543423,28577266,28808965,29048863,29242186,29351263,29472033,29552503,29958176,30098505,30264366,30454519,30471148,30535688,30554383,30721460,30966558,31082386,31120440,31391884,31449919,31624149,31661670,31846063,31850481,31876905,31944919,32043703,32105072,32339623,32620426,32770828,33195136,33353192,33688684,33702948,33772448,33860338,34002032,34004263,34352649,34471073,34570758,34877119,35010495,35675338,35744143,35936023,36118206,36223303,36500529,36795919,36864950,36865752,37344528,37522341,37587153,37744519,37797105,37994004,38121943,38252286,39171628,39626668,39713143,40133386,40152905,40177183,40204786,40316912,40547119,41010409,41473971,41832823,41969333,42012594,42606741,42707432,42742543,43194703,43669209,43801589,43887800,44036626,44161228,44237940,44295465,44389066,44540383,44571368,44600338,44917345,44937998,45074119,45092746,45356526,45428503,45654538,45966988,46045903,46145266,46309423,46397119,46417708,46536681,46604613,46921783,47111169,47187136,47248496,47565749,47617303,47912601,47961106,48045861,48183486,48656626,49244390,49373775,49601505,50142789,50461228,50821505,50837889,51353866,51475105,51610423,52587353,52665360,52697548,52908272,53085528,53138506,53154558,53705361,53753746,53822026,53900814,53913703,54076063,54435826,54740056,54776266,55072641,55184266,55284583,55604119,56001919,56084725,56176384,56201746,56472466,56661105,57106183,57554408,57653023,58041463,58335662,58428103,58477448,58478284,59031538,59042983,59093268,59119519,59248530,59424943,59500426,59501119,59521806,59721219,59956190,60334303,60438512,60560023,60902386,60956693,60985806,61035538,61382119,61582563,61685078,61770126,62011468,62562343,62781583,62826826,62892946,62927383,63198432,63218119,63487306,63939919,64197140,64583383,64748709,64869106,65079823,65712919,65782903,65787129,66196713,66429865,66439666,66755119,66961138,67067273,67301670,67372663,67448465,67713223,67803465,67936138,67951070,67960713,67993326,68051983,68592872,69101386,69200789,69396805,69455119,69682066,69746506,70177423,70761919,71098236,71142953,71313105,71340583,71404519,71411241,71480338,71598905,71632684,71672266,71788448,71800138,71907969,71947428,71991826,72253928,72323696,72417703,72438538,72602150,72668119,72730543,73312575,73583626,73799884,73900786,73902919,74125766,74234505,74533906,74810119,75124790,75417586,75905768,75935983,76067312,76235338,76633663,76806463,76821868,76921303,77036568,77166981,77456249,77666545,77728232,77919569,77997919,78200080,78221263,78610186,78829519,78884383,79103119,79130117,79183472,79355338,79485465,79715838,79859623,80034542,80068305,80126383,80232583,80258284,80283538,80762004,80938158,80967919,80976261,81085066,81227119,81285669,81364158,81366248,81541284,82044463,82126037,82446223,82741138,82793983,82846569,82863346,82980705,83250028,83276166,83336660,83656138,83673473,83712801,83734165,84088712,84142666,84197119,84432919,84784496,84995048,85052146,85393989,85406192,85539703,85575726,85604725,85651700,85765063,85918686,86474119,86625305,86666139,86680138,86735263,87080990,87122580,87276875,87444261,87459826,87975090,88121540,88125223,88296466,88512752,88530943,88654066,88810663,88993982,89008303,89070538,89081406,89552119,89780863,90078706,90119119,90149748,90176313,90538905,90633703,90814063,91169383,91239583,91317706,91537029,91710200,91717401,91719278,91720108,91729138,91858423,92022538,92059519,92092783,92140588,92192143,92783506,92930752,93026119,93199854,93364303,93515143,93840096,94071919,94095813,94238668,94465543,94520623,94599801,94629919,95223538,95261503,95312263,95382558,95512423,95537119,95619429,95810390,95875303,95915506,96015919,96081966,96153943,96354950,96574832,96680119,96866743,97163884,97203343,97235338,97420521,97635346,97660543,97806538,97896919,97961863,97991873,98032881,98041423,98072743,98149783,98195143,98292089,98298463,98355919,98494519,98561119,98638663,98788393,98858270,98911903,98944138,98987503,99009813,99118543,99312583,99336343,99351823,99484519,99565663,99576846,99623983,99641119,99695119,99730903,99749119,99753583,99759703,99793138,...,942635777291617804268384089186075178923542371740844069828555227857618069347285564088351499812433552606645295899233869185878310556097557590823346231667271889070440866005308137065373319078113783442083042963268764047294822665789580006460942856953827073083477838953007742454769894912482262699518024868161702342068532077419384756291999166098263468224320343849555916035305717071380309026651012952499882866586823947420567715907036273374797042878672798138900418211618518913540869688878525609568733134750636308380824288940185524030526287028984244605439426002254207799981662344241902882486126414616368680470449008765034252879132407442880463073597856967230718238306484044630284399624677567026900770436969870962645332526787173271192531802008958731936556632124915680958551608178874378671363909623135382972135386364281938510196139597798259614778329157076953983632088031070038340108204617540257228888826187153051190225511600866300608872553734036910817271951879069380675502446430910624693378168968651251409284816567441292805507498009773394967341100155201681716113326976005569990807702039962269076571961916802871556643284173997228177693997171375638329097578554959776615640033775714153638688066615813470901598390304855013001259781211127595092710874600034183739580111252570645947366449198023595157789309106202647474395184120377124629366768721437597886479678190268737430510643997346011509444142232082420779028127709023868186415446611694132658037482319537623170742540450636093327395781244486388150834047011492866048125010977610304935245582513014860205902474074286403675907396367932885973193218643940957874596582620100150718751948197503575236165551415346780109084357370669521697185981980979704145635802674030499858397630330425833652077223978732197648964231991376210483290571190012092138153346847391969023606666949846287185151153017576150935968314908444654261979857583023968475892252800908822832546716515238152015150590141004681669239685700819593858844806382125627124064813720883879924071610649668643530017174136738886898233871504905590921533555617911590025099013091986396367465099954736851476819358611909525061842637286109838614422722740741321868763580696886475009784730696230910060806997606807099281557404934800110241699938724425595014897238593461674939720775827178579520303703676927203304843628715103855237808123373101110820643176930527884331458764607171048848736344499264427400926535758927594223605531584867717708359518741005004163064415647005285366534694962232990015723162339969585780471249385005776507839526504287523869125297118061065398673851763227518003214126562414282208513388242073720752866744057935939503137420827549517044363071808689998967127143501291784523243970879912106776538606231883547794959523780176472306212598224429813492206742260937570274517833895618306084751376400467297374823117110562632383887894416539730564619419077891289006540850591306325005723935813087774216844545449664742953248760780504713139532857596381186574958711756700519164035338219950104210763875515729839192452856446499039840239276851928918427433412401267756605104782566770593215420934807553593589562026717999441170752630717347308798482891046823449543393564546816321236223693147744944576736789922126918781906063378}
19977 272180983016361334478983293595733562471268825709176644841120744497354722: {79892,658779,778479,978187,1097855,1317426,1397410,1676892,1956178,1996300,2213007,2294135,2395560,2555264,2695005,2752962,2794540,2809707,2874672,3234006,3353448,3644079,3730463,3772629,3992200,4491225,4790640,4952859,5110016,5278535,5306434,5389470,5748768,5874335,5998027,6334242,6359903,6377307,6467364,6732879,6742762,7049202,7580620,7795367,7798299,8253935,8568610,8652658,9096744,9495724,9584887,9904722,10233837,10276719,10282332,10298123,10747599,10999723,11410828,11438098,11609279,11688207,11737003,12360940,12509979,12995855,13213419,13565320,13883543,14324107,14394514,14833128,15153943,15201807,15260985,15595026,15713890,15910487,16188844,16220578,16278384,16340140,16368207,16687269,16751879,17299599,17640427,17714735,18313182,18461679,18777959,18856668,18876559,19310632,19608168,20463010,20948683,21003058,21257682,21648490,21724461,21774487,21959554,21997234,22059189,22269442,22995935,23126920,23316207,23844652,24006023,24555612,24677279,24695439,25052287,25200610,25269099,25321243,25383759,25758604,25917335,25956699,25978188,26017785,26213404,26593879,26718727,27230385,27329307,27595122,27752304,28006114,28091938,28698459,29045744,29184043,29381739,29550892,29751778,29926690,30240732,30572855,31100802,31106410,31221342,31424620,31539759,31879707,31944946,32257533,32417125,32445807,32537842,32676462,33237339,34030079,34140507,34478799,34929519,35277298,35912028,36112607,36603823,36687426,36718786,36778459,37177359,37327692,37369003,37447720,37666079,37686748,37709544,37749322,38088935,38169610,38272786,38326103,38401825,38892919,38900550,38968719,38999947,39239855,39296044,40131340,40352488,40531119,40963535,41288744,41342434,41493920,41691490,41958319,42110855,42128685,42165532,42215560,42396178,42423237,42467308,42502540,42865899,43863279,44937264,45005026,45311698,45396549,45706722,45803532,46082190,46094344,46118519,46294738,46449837,46623579,46680660,47087826,47492505,47897549,48157608,48654283,48667372,48930639,48964535,49154336,49156242,49288283,49533335,49792704,50029788,50116204,50360107,50396140,50533026,50554422,50637394,50658672,50790507,51003048,51167767,51566759,51856137,51862283,52154986,52341979,52883698,53384290,53513007,53660767,54177309,54182479,54859750,55201535,55297425,55298628,55714210,55717343,55814146,56016792,56192327,56263402,56808988,56991006,57236827,57378429,57458735,58022135,58053703,58225612,58283423,58757442,58983920,59060620,59066383,59440002,60018763,60200079,60307179,60475368,61566623,62048908,62139484,62343679,62814892,63018891,63076535,63222187,63283234,63358699,63883468,64061148,64244648,65361826,65501578,65818786,65831700,65871935,66054939,66135340,66186287,66241842,66356910,66417547,66558898,66583599,66857052,66900507,67190194,67406997,67559759,67639119,67783852,68012203,68013103,68034789,68425070,68481807,68950482,69180898,69217899,69285538,69626562,70135666,70220480,70780704,70872744,70892887,71006386,71195467,71216527,71607148,71867752,71941659,71943010,72275229,72406399,72984939,73096810,73097855,73430188,73549522,73577623,73866585,74186434,74370667,74706839,74708779,74730418,75548140,75691842,76755562,77030799,77448658,77514335,77704642,78027403,78138647,78791024,78998040,79046322,79362408,79628292,79707759,79731837,80246425,80630619,80733039,80851221,81314408,81653739,82110084,82164399,82360168,82503179,82776399,82994903,83769983,84098303,84264576,84302619,84502978,84708699,85205842,85741090,86331612,86818859,87280559,87503493,87716172,87717426,88065287,88262284,88360879,88547307,88639902,88872795,89075227,89250639,89282709,89342743,89540855,89735560,89934285,90284143,90317410,90404620,90614284,90657768,91030594,91353579,91478709,91553307,91693426,92249855,92527617,92655189,93017202,93101287,93497287,93664594,94240239,94339419,94797648,94882210,95084140,95214988,95230959,95877292,95929904,96027335,96295710,97160290,97303659,97750100,98554834,98705047,98979340,99481963,99492802,99659499,...,1413953665937426706402576133779112768385313557611266104742832841786427104020928346132527249718650328909967943848850803778817465834146336386235019347500907833605661299007962205598059978617170675163124564444903146070942233998684370009691414285430740609625216758429511613682154842368723394049277037302242553513102798116129077134437998749147395202336480515774333874052958575607070463539976519428749824299880235921130851573860554410062195564318009197208350627317427778370311304533317788414353099702125954462571236433410278286045789430543476366908159139003381311699972493516362854323729189621924553020705673513147551379318698611164320694610396785450846077357459726066945426599437016350540351155655454806443967998790180759906788797703013438097904834948187373521437827412268311568007045864434703074458203079546422907765294209396697389422167493735615430975448132046605057510162306926310385843333239280729576785338267401299450913308830601055366225907927818604071013253669646365937040067253452976877113927224851161939208261247014660092451011650232802522574169990464008354986211553059943403614857942875204307334964926260995842266540995757063457493646367832439664923460050663571230458032099923720206352397585457282519501889671816691392639066311900051275609370166878855968921049673797035392736683963659303971211592776180565686944050153082156396829719517285403106145765965996019017264166213348123631168542191563535802279623169917541198987056223479306434756113810675954139991093671866729582226251070517239299072187516466415457402868373769522290308853711111429605513861094551899328959789827965911436811894873930150226078127922296255362854248327123020170163626536056004282545778972971469556218453704011045749787596445495638750478115835968098296473446347987064315724935856785018138207230020271087953535410000424769430777726729526364226403952472362666981392969786374535952713838379201363234248820074772857228022725885211507022503859528551229390788267209573188440686097220581325819886107415974502965295025761205108330347350807257358386382300333426867385037648519637979594551197649932105277215229037917864287592763955929164757921634084111111982803145371045329712514677096044346365091210496410210648922336107402200165362549908086638392522345857890192512409581163740767869280455555515390804957265443072655782856712185059651666230964765395791826497188146910756573273104516748896641101389803638391391335408297377301576562539278111507506244596623470507928049802042443349485023584743509954378670706874077508664761759289756431285803687945677091598098010777644841277004821189843621423312770082363110581129300116086903909254706131241324275566544607713034998450690715251937676784865956319868160164807909347825321692439285670264708459318897336644720238310113391406355411776750843427459127127064600700946062234675665843948575831841624809595846929128616836933509811275886959487508585903719631661325266818174497114429873141170757069709299286394571779862438067635050778746053007329925156316145813273594758788679284669748559760358915277893377641150118601901634907657173850155889823131402211330390384343040076999161756128946076020963197724336570235174315090346820224481854335539721617416865105184883190378172859095067}
19978 273236262846427667499315450574395866720088137697846095690879929438973985: {99865,119838,339337,519038,578521,817417,878372,1037972,1175221,1756568,1770121,1976139,2096115,2235856,2495375,2515338,2718217,2934267,2950676,2994450,3194080,3493175,3593340,3670616,3746276,3832896,4129443,4191810,4312008,4331006,4471264,4483477,4717621,4851009,4858772,4951477,4990250,5030172,5301721,5534857,5988300,6223166,6232537,6387520,6459038,6603812,7185960,7665024,7850377,7871246,7959651,8084205,8195221,8445656,8503076,8623152,8809838,8977172,9398936,9475775,9501363,9701046,9909721,10114143,10137097,10397732,10573803,10817497,10913246,11370930,11382517,11608021,11869655,12128992,12731221,12852915,12978987,13066777,13206296,13645116,13702292,13709776,13847221,14243586,14263535,14330132,14393006,14623838,14854526,14857083,15287257,15423498,15451175,15584276,15727897,16057621,16386697,16679972,16896803,16924238,16956650,17116242,17157147,17617892,17913817,18022357,18541410,18563977,18982286,19319221,19438046,19534357,19777504,20070937,20236055,20269076,20347980,20425175,20793368,20925721,21255326,21591771,21704512,21824276,22199257,22249692,23042521,23066132,23392539,23567221,23570835,23881177,24138290,24283266,24330867,24402997,24417576,24510210,24615572,24862238,25142224,25337737,25415026,26144224,26677621,27320606,27469773,27988046,28285002,28343576,28432286,28908650,28965948,29097566,29412252,29522197,29540366,29805815,30024217,30524437,30694515,31088276,31221721,31420297,31504587,31886523,32198255,32472735,32507317,32740816,32766755,32927252,32939331,32995851,33404163,33487957,33692132,33845012,34170121,34364377,34591166,34608932,34637584,34690380,34848757,35308427,35766978,35908057,36127651,36307180,36439076,36577621,36763406,36793496,36833418,36938615,37003072,37053721,37338517,37800915,37844126,38189017,38264612,38637906,38967282,39175652,39280775,39320106,40209038,40320976,40332551,40613257,40797721,41392683,41441077,41467736,41628456,41898457,42009171,42053012,42131006,42137907,42172021,42506276,43010044,43079221,43261076,43568616,44316452,44326338,44627667,44890035,45049717,45361098,45520676,45835163,45971732,46021897,46460917,46572692,46651203,46659615,46809650,46832013,47108435,47136930,47882704,47917419,47940121,48371221,48453326,48466847,48806763,48916568,48971737,49014693,49120055,49228021,49569812,49770256,50164175,50279392,50331097,50440610,50920021,51505417,51610930,51867400,51958292,52170121,52706915,52769450,52801838,52915947,53084135,53128175,53240437,53567317,53827838,53868042,54032606,54041492,54850238,55031139,55078179,55424521,55663957,55823221,55982197,55991538,56171580,56214067,56530122,56564316,56623983,56884238,57008521,57086846,57154532,57254415,57409179,57556117,57617930,58022677,58097726,58350825,58409497,58484372,58702526,58944066,59105006,59177737,59711221,59916352,59938777,60197010,60528732,60834215,60909038,60942296,60992137,61071376,61108766,61442920,61933116,62013651,62105077,62164772,62240880,62472457,62537235,62645255,62783768,62838037,62884283,62899838,62910937,62995175,63248298,63323340,63594267,63692126,63700962,63753810,63889838,63995797,64087406,64139221,64210144,64679246,64993717,65240852,65541656,66390272,66394837,66464137,66602521,66706384,66740617,67377368,67405896,67507539,67544896,67720676,67835017,67967547,67970521,68004064,68008526,68509657,68560083,68643721,68705298,68942146,69110677,69123285,69141516,69442057,69442107,69754238,69837337,69923843,70020990,70631739,71011235,71150107,71264521,71350676,71488286,71584021,71711317,71872046,72065147,72236412,72343477,72446606,72782015,73001058,73030537,73586197,73591838,73647577,73729900,73731504,73734363,73825775,74689056,74979721,75044682,75099097,75174306,75277621,75489038,75594210,75691657,75750517,75799539,75831633,75868021,75956091,75988008,76243886,76335157,76504572,77141557,77198617,77426137,77561135,77596021,77674355,77877721,78232479,78269077,78343256,78518615,78601717,78876937,79095817,79253336,79325547,79426286,79854335,79906357,80076435,80266772,80305810,80354366,80409572,80437717,80633824,80961877,81013897,81094238,82020818,82240777,82289625,82669175,82947942,83035657,83280277,83571315,83665646,83716057,83721219,83938666,83955637,84025188,84240757,84395103,84663577,84729815,85213482,85400857,85414864,85485086,85486509,85582297,85706027,85852297,85941721,86075317,86164021,86384521,86389406,86603221,87338418,87544117,87603178,87753097,87775600,88073252,88136163,88165657,88322456,88475880,88590930,88778132,89080766,89087221,89142736,89160003,89177363,89200676,89204617,89360137,89508935,89552917,89781877,89834690,89875996,89970697,90045721,90148238,90185492,90671797,90707977,90713052,90857006,90959221,91309076,91312021,91787735,91928917,91933976,92091806,92290532,92586997,92618846,92715157,92794238,92835416,93001811,93073362,93209226,93338677,93490057,93517411,93520117,93580021,93787417,93843566,93962377,94222338,94304521,94374272,94427851,94435175,94496992,94663477,94924851,95062537,95114521,95131498,95234606,95319577,95445397,95569417,95825202,95859721,95922212,95977621,96091722,96093721,96139657,96253237,96366972,96387157,96474997,96917257,97155527,97313252,97346521,97875721,97901351,97925077,98042739,98116021,98252367,98382997,98411221,98488780,98507737,98702677,98728179,98747550,98800021,98858521,98881417,99203010,99217621,99320437,99362763,99398197,99405577,99455221,99520021,99532117,99535365,99561097,99588277,99618517,99682777,99690121,99707221,99730837,99757621,99769717,99777817,99838347,...,1885271554583235608536768178372150357847084743481688139657110455715236138694571128176702999624867105213290591798467738371756621112195115181646692463334543778140881732010616274130746638156227566884166085926537528094589645331579160012921885713907654146166955677906015484909539789824964525399036049736323404684137064154838769512583998332196526936448640687699111832070611434142760618053302025904999765733173647894841135431814072546749594085757345596277800836423237037827081739377757051219137466269501272616761648577880371048061052574057968489210878852004508415599963324688483805764972252829232737360940898017530068505758264814885760926147195713934461436476612968089260568799249355134053801540873939741925290665053574346542385063604017917463873113264249831361917103216357748757342727819246270765944270772728563877020392279195596519229556658314153907967264176062140076680216409235080514457777652374306102380451023201732601217745107468073821634543903758138761351004892861821249386756337937302502818569633134882585611014996019546789934682200310403363432226653952011139981615404079924538153143923833605743113286568347994456355387994342751276658195157109919553231280067551428307277376133231626941803196780609710026002519562422255190185421749200068367479160222505141291894732898396047190315578618212405294948790368240754249258733537442875195772959356380537474861021287994692023018888284464164841558056255418047736372830893223388265316074964639075246341485080901272186654791562488972776301668094022985732096250021955220609870491165026029720411804948148572807351814792735865771946386437287881915749193165240200301437503896395007150472331102830693560218168714741339043394371963961959408291271605348060999716795260660851667304154447957464395297928463982752420966581142380024184276306693694783938047213333899692574370302306035152301871936629816889308523959715166047936951784505601817645665093433030476304030301180282009363338479371401639187717689612764251254248129627441767759848143221299337287060034348273477773796467743009811181843067111235823180050198026183972792734930199909473702953638717223819050123685274572219677228845445481482643737527161393772950019569461392461820121613995213614198563114809869600220483399877448851190029794477186923349879441551654357159040607407353854406609687257430207710475616246746202221641286353861055768662917529214342097697472688998528854801853071517855188447211063169735435416719037482010008326128831294010570733069389924465980031446324679939171560942498770011553015679053008575047738250594236122130797347703526455036006428253124828564417026776484147441505733488115871879006274841655099034088726143617379997934254287002583569046487941759824213553077212463767095589919047560352944612425196448859626984413484521875140549035667791236612169502752800934594749646234221125264767775788833079461129238838155782578013081701182612650011447871626175548433689090899329485906497521561009426279065715192762373149917423513401038328070676439900208421527751031459678384905712892998079680478553703857836854866824802535513210209565133541186430841869615107187179124053435998882341505261434694617596965782093646899086787129093632642472447386295489889153473579844253837563812126756}
19979 274295605343795419737061558744517807320138447822207508290626182388042600: {19979,159784,179757,778557,1097965,1297465,1317558,1536997,1556958,1956374,2195710,2634852,2794820,3211789,3353784,3688345,3773007,3912356,3992600,4169341,4408729,4426014,4491675,4588270,4682845,4791120,5110528,5390010,5505924,5589080,5619414,5749344,6073465,6287715,6468012,6496509,6706896,6798517,7288158,7389949,7460926,7485375,7516249,7545258,7984400,8224069,8254765,8712469,8982450,8987077,9334749,9581280,9688557,9905718,10220032,10557070,10612868,10628845,10778940,11221465,11497536,11555509,11748670,11806869,11996054,12170509,12668484,12719806,12754614,12934728,12997165,13214757,13291309,13465758,13485524,13720057,14098404,14551569,14560789,15161240,15516901,15590734,15596598,16369869,16507870,16951069,17056395,17127865,17137220,17283541,17305316,17782309,17907181,17912665,18193488,18194197,18991448,19169774,19480345,19693957,19809444,20467674,20553438,20564664,20596246,20849965,21365379,21366649,21495198,21589509,21935757,21999446,22022365,22072237,22281789,22821656,22876196,23135247,23218558,23376397,23376414,23474006,24008437,24682249,24721880,24800629,25019958,25336345,25386357,25434975,25674363,25991710,26426838,26830261,27130640,27280345,27717877,27767086,27812115,28473429,28648214,28789028,28832665,29157069,29164057,29666256,30307886,30403614,30521970,30648949,30769465,31190052,31427780,31820974,31882989,32194309,32377688,32441156,32483341,32556768,32680280,32736414,33374538,33503758,34033501,34101337,34599198,35183641,35280854,35429470,36207435,36284269,36374437,36376981,36424899,36626364,36765315,36787609,36923358,37293357,37555918,37713336,37753118,38122539,38329957,38621264,38860345,39002329,39216336,40195669,40361149,40667749,40926020,40980909,41159065,41551477,41897366,41982069,42006116,42115165,42306265,42427503,42515364,42648429,42801997,43261165,43296980,43362975,43448922,43548974,43646349,43919108,43994468,44118378,44310549,44514457,44538884,45383975,45548845,45991870,46253840,46632414,47031757,47689304,47819869,47830765,48012046,48969565,49111224,49354558,49390878,49722541,50104574,50186329,50401220,50538198,50642486,50767518,51261241,51517208,51571957,51834670,51886749,51913398,51956376,52035570,52296277,52426808,52566265,53132845,53187758,53324509,53437454,53650467,53762555,54076345,54438637,54460770,54658614,54935797,55145109,55190244,55250127,55395565,55504608,55846489,56012228,56183876,56766189,56900845,57348949,57396918,57464665,57832837,57956859,58091488,58215865,58249789,58289341,58368086,58450923,58716757,58763478,58955197,58980159,59101784,59503556,59853380,60313557,60481464,60852517,61145710,61291789,61572829,61962265,62124109,62201604,62212820,62442684,62449669,62717401,62803189,62849240,63079518,63196509,63759414,63889892,64515066,64834250,64891614,64947865,65075684,65352924,65375929,65812597,65847769,66276157,66395197,66474678,66489507,66858229,67551865,68041647,68060158,68281014,68550349,68880409,68957598,69136141,69346669,69859038,70214475,70554596,70705395,70846837,70855357,71443165,71824056,72225214,72679989,73105465,73207646,73374852,73437572,73556918,73714189,73972909,74145817,74203957,74354718,74655384,74738006,74830549,74895440,75292381,75332158,75373496,75419088,75498644,75660915,76177870,76339220,76545572,76652206,76803650,76811257,77282149,77416395,77435941,77705965,77785838,77801100,77937438,77999894,78478909,78479710,78592088,78717049,78907657,79154175,79202757,80262680,80442229,80704976,80741757,80802063,81048909,81062238,81230989,81421909,81551065,81927070,82275357,82577488,82684868,82987840,83003269,83382980,83916638,83987307,84221710,84257370,84331064,84431120,84650845,84792356,84795183,84846474,84934616,85005080,85326357,85466557,85560121,85630269,85731798,86426895,87146589,87289357,87331429,87726558,87727957,87995941,88053789,88074229,88307149,88416099,88657509,89188345,89528029,89874528,90010052,90117529,90295515,90623396,90793098,91363557,91413444,91607064,91663149,92162375,92164380,92188688,92220709,92237038,92478901,92589476,92899674,93247158,93361320,93992221,94016137,94175652,94349757,94383637,94872447,94985010,95538189,95551443,95630715,95795098,95834757,96131109,96315216,97018869,97308566,97334744,97503757,97861278,97929070,98308672,98312484,98425909,98576566,98919997,99000889,99066670,99221209,99585408,...,2827907331874853412805152267558225536770627115222532209485665683572854208041856692265054499437300657819935887697701607557634931668292672772470038695001815667211322598015924411196119957234341350326249128889806292141884467997368740019382828570861481219250433516859023227364309684737446788098554074604485107026205596232258154268875997498294790404672961031548667748105917151214140927079953038857499648599760471842261703147721108820124391128636018394416701254634855556740622609066635576828706199404251908925142472866820556572091578861086952733816318278006762623399944987032725708647458379243849106041411347026295102758637397222328641389220793570901692154714919452133890853198874032701080702311310909612887935997580361519813577595406026876195809669896374747042875654824536623136014091728869406148916406159092845815530588418793394778844334987471230861950896264093210115020324613852620771686666478561459153570676534802598901826617661202110732451815855637208142026507339292731874080134506905953754227854449702323878416522494029320184902023300465605045148339980928016709972423106119886807229715885750408614669929852521991684533081991514126914987292735664879329846920101327142460916064199847440412704795170914565039003779343633382785278132623800102551218740333757711937842099347594070785473367927318607942423185552361131373888100306164312793659439034570806212291531931992038034528332426696247262337084383127071604559246339835082397974112446958612869512227621351908279982187343733459164452502141034478598144375032932830914805736747539044580617707422222859211027722189103798657919579655931822873623789747860300452156255844592510725708496654246040340327253072112008565091557945942939112436907408022091499575192890991277500956231671936196592946892695974128631449871713570036276414460040542175907070820000849538861555453459052728452807904944725333962785939572749071905427676758402726468497640149545714456045451770423014045007719057102458781576534419146376881372194441162651639772214831949005930590051522410216660694701614514716772764600666853734770075297039275959189102395299864210554430458075835728575185527911858329515843268168222223965606290742090659425029354192088692730182420992820421297844672214804400330725099816173276785044691715780385024819162327481535738560911111030781609914530886145311565713424370119303332461929530791583652994376293821513146546209033497793282202779607276782782670816594754603153125078556223015012489193246941015856099604084886698970047169487019908757341413748155017329523518579512862571607375891354183196196021555289682554009642379687242846625540164726221162258600232173807818509412262482648551133089215426069996901381430503875353569731912639736320329615818695650643384878571340529416918637794673289440476620226782812710823553501686854918254254129201401892124469351331687897151663683249619191693858257233673867019622551773918975017171807439263322650533636348994228859746282341514139418598572789143559724876135270101557492106014659850312632291626547189517577358569339497119520717830555786755282300237203803269815314347700311779646262804422660780768686080153998323512257892152041926395448673140470348630180693640448963708671079443234833730210369766380756345718190134}
19980 275359026038972098026031413191364076524556075039587705558878121376184511: {139811,199730,239676,339371,379259,618419,678674,857291,1038076,1056131,1157042,1215059,1334171,1634834,1756744,1770299,1976337,2075944,2244971,2335437,2350442,2521331,2718491,2757899,2934561,3293565,3308771,3493525,3513136,3540242,3544379,3952278,4192230,4471712,4483931,4522979,4757099,4890445,4990750,5030676,5185571,5341139,5436434,5535419,5574251,5768291,5868534,5901352,5988900,6388160,6639021,6882405,6986350,7186680,7341232,7492552,7505651,7665792,7774451,8004539,8085015,8234339,8258886,8383620,8429121,8578499,8624016,8662012,8769419,8942528,8966954,9340979,9435242,9569099,9702018,9717544,9796931,9902954,9910739,9980500,10060344,10176011,10603442,10629851,10818611,10931771,10932237,11069714,11191389,11195531,11317887,11496491,11609219,11646779,11759411,11976600,12446332,12465074,12508451,12769859,12775040,12918076,13207624,13266085,13328699,13473675,14293091,14371920,14625659,14773259,14847011,14858577,15288851,15330048,15700754,15742492,15766211,15835605,15919302,16059299,16168410,16390442,16424939,16617517,16856905,16891312,17006152,17246304,17299211,17371859,17619676,17623005,17698379,17954344,17994081,18385571,18457739,18797872,18951550,19002726,19079709,19131921,19357139,19402092,19572251,19819442,19968949,20073059,20108771,20198637,20215859,20228286,20274194,20795464,21147606,21421525,21631645,21634994,21826492,22307291,22412891,22741860,22765034,22939811,23080019,23185091,23216042,23386101,23394897,23395019,23739310,23918579,24092699,24257984,24301379,24613859,24761805,25462442,25705830,25957974,26133554,26412592,26475131,26680499,27022139,27290232,27404584,27419552,27499091,27694442,27703019,28110011,28330477,28487172,28527070,28595245,28617131,28660264,28754661,28786012,28853171,29055179,29122451,29247676,29424779,29558939,29625971,29709052,29714166,29860331,30527771,30561059,30574514,30701511,30830157,30846996,30894369,30902350,30959891,31168552,31455794,31456811,31853051,32115242,32242797,32543699,32773394,32904059,32999169,33230819,33359944,33491651,33719459,33793606,33848476,33913300,34232484,34314294,34827837,34852619,34884851,35064621,35211009,35235784,35827634,35848091,35944019,35986285,36007931,36044714,37057859,37082820,37127954,37374299,37529937,37532219,37964572,38004779,38193299,38224691,38381531,38638442,38876092,38987565,39068714,39284725,39555008,39640257,39784091,39907979,40141874,40155371,40248011,40472110,40538152,40551445,40617851,40695960,40833059,40850350,41537411,41586736,41650629,41728141,41750939,41851442,41903219,41933651,42176819,42358859,42510652,42812699,42972321,43183542,43409024,43648552,43744931,44163419,44398514,44431619,44499384,44877179,45054899,45077557,45084491,45461829,45497939,45605421,45782955,45873457,45880451,46056539,46085042,46115171,46132264,46466291,46495499,46785078,47134442,47141670,47252099,47368019,47731461,47762354,47772731,47945699,47974499,48060851,48276580,48566532,48661734,48720491,48805994,48835152,48920411,49020420,49104621,49231144,49347491,49574531,49724476,49914131,50061807,50083499,50255637,50280731,50284448,50505659,50675474,50830052,50926019,50953979,51157525,51455891,51622619,51714061,51898797,52038179,52288448,52451939,52507645,52836491,52921281,53144205,53274059,53355242,53926571,53980739,54121225,54168829,54385979,54641212,54898885,54939546,54993085,55137611,55297859,55351211,55385037,55431179,55457819,55670651,55673605,55856459,55976092,56015411,56333877,56464211,56543171,56570004,56629677,56687152,56805851,56864572,57172259,57279001,57667019,57817300,57931896,58029731,58055579,58107251,58195132,58287851,58442339,58824504,59044394,59080732,59184971,59363219,59611630,60048434,60574931,61048874,61389030,61397291,61446851,62137331,62176552,62431331,62443442,62577899,62797211,62840594,62845859,62846049,62918771,62943059,62991611,63001525,63009174,63282251,63773046,63788099,64003811,64171139,64396510,64599611,64789211,64860179,64945470,65001899,65014634,65025491,65096219,65173383,65323461,65481632,65533510,65776211,65854504,65878662,65951809,65991702,66009131,66177567,66495659,66634019,66749099,66772091,66808326,66886931,66975914,67384264,67389851,67690024,67843691,67866299,68249411,68340242,68518451,68728754,68768077,68786339,68987805,69182332,69217864,69275168,69380760,69473051,69697514,69736811,69802571,69868259,69948621,70015285,70229845,70391171,70616854,70715651,70780331,70973939,71273819,71295179,71529611,71533956,71720699,71816114,71847731,72018069,72037739,72255302,72614360,72728891,72791291,72878152,73155242,73184819,73526812,73586992,73666836,73779899,73789681,73877230,73922531,74006144,74031837,74085059,74086317,74107442,74317789,74379445,74569571,74677034,74746177,74816725,75009659,75129011,75156861,75406379,75601830,75688252,75807297,75897779,75963729,76014971,76151277,76378034,76403531,76529224,76538771,76827251,76942139,77113931,77171051,77275812,77625419,77752005,77766025,77775851,77870097,77934564,78019211,78053355,78242651,78279779,78351304,78561550,78612491,78640212,78887771,78906059,79015619,79070291,79124891,79432931,79648979,79781637,79810259,79862365,79917419,80148611,80156181,80254859,80290211,80418076,80448899,80641952,80665102,80868899,80990531,81025211,81042539,81226514,81344605,81595442,81691155,81712091,81987921,82101251,82302611,82419539,82469531,82637269,82785366,82882154,82935472,83047451,83256912,83259611,83728019,83796914,84018342,84106024,84252851,84262012,84275814,84344042,84410171,84457211,84504179,84675779,84830939,85012552,85062179,85167901,85230611,85428419,85564571,85594739,85654979,85864811,85954259,85969139,86020088,86087891,86095377,86158442,86176619,86191379,86265059,86522152,86572331,86630459,86673971,86832899,87105131,87137232,87487019,87552129,87703357,87821579,88055771,88096859,88145217,88178819,88193245,88301219,88632904,88652676,88664531,88903499,89255334,89373659,89386571,89579291,89643131,89780070,89808179,89833451,90071939,90099434,90356771,90540251,90685739,90721931,90722196,90842051,90865979,90937571,91020731,91041352,91091699,91197611,91267859,91603331,91670326,91718565,91740179,91785539,91796965,91943464,92043794,92221091,92472251,92612339,92676539,92740451,92921834,92930459,93145384,93148859,93261851,93302406,93319230,93484931,93545099,93619300,93634811,93664026,93714011,93743579,93831851,93890339,94035299,94102331,94121411,94216870,94273860,94373305,94514699,94551419,94569731,94619277,94633571,94678931,94742099,94795931,95078171,95104211,95292971,95318411,95343779,95360651,95424025,95461211,95585291,95639121,95681965,95765408,95789089,95812091,95834838,95875739,95880242,95883659,95993699,96048131,96201491,96291971,96403451,96476771,96520379,96563699,96727091,96742442,96772599,96817571,96906652,96913499,96933694,97152971,97230491,97251375,97337421,97363379,97369619,97462259,97613526,97618571,97688891,97706291,97814819,97833136,97859651,97942331,97943474,97947779,98029386,98039171,98055059,98086619,98117891,98154011,98184659,98230091,98240099,98240110,98343251,98391131,98400611,98428859,98433539,98456042,98456819,98498219,98525459,98529971,98538971,98583491,98596691,98661611,98682851,98821979,98833811,98899499,98903291,98991899,99055331,99065651,99139624,99145619,99174419,99190139,99217931,99239099,99262811,99314291,99355211,99378899,99389219,99415729,99441299,99467171,99476339,99526571,99538979,99540512,99580139,99603851,99607379,99665411,99679691,99683819,99702131,99703379,99712017,99727739,99734051,99751259,99758891,99765131,99768059,99770171,99774179,99777299,99789491,99792179,99797699,99799811,...,4241860997812280119207728401337338305155940672833798314228498525359281312062785038397581749155950986729903831546552411336452397502439009158705058042502723500816983897023886616794179935851512025489373693334709438212826701996053110029074242856292221828875650275288534841046464527106170182147831111906727660539308394348387231403313996247442185607009441547323001622158875726821211390619929558286249472899640707763392554721581663230186586692954027591625051881952283335110933913599953365243059299106377863387713709300230834858137368291630429100724477417010143935099917480549088562971187568865773659062117020539442654137956095833492962083831190356352538232072379178200836279798311049051621053466966364419331903996370542279720366393109040314293714504844562120564313482236804934704021137593304109223374609238639268723295882628190092168266502481206846292926344396139815172530486920778931157529999717842188730356014802203898352739926491803166098677723783455812213039761008939097811120201760358930631341781674553485817624783741043980277353034950698407567722509971392025064958634659179830210844573828625612922004894778782987526799622987271190372480939103497318994770380151990713691374096299771160619057192756371847558505669015450074177917198935700153826828110500636567906763149021391106178210051890977911913634778328541697060832150459246469190489158551856209318437297897988057051792498640044370893505626574690607406838869509752623596961168670437919304268341432027862419973281015600188746678753211551717897216562549399246372208605121308566870926561133334288816541583283655697986879369483897734310435684621790450678234383766888766088562744981369060510490879608168012847637336918914408668655361112033137249362789336486916251434347507904294889420339043961192947174807570355054414621690060813263860606230001274308292333180188579092679211857417088000944178909359123607858141515137604089702746460224318571684068177655634521067511578585653688172364801628719565322058291661743977459658322247923508895885077283615324991042052421772075159146901000280602155112945558913938783653592949796315831645687113753592862778291867787494273764902252333335948409436113135989137544031288133039095273631489230631946767008322206600496087649724259915177567037573670577537228743491222303607841366666546172414871796329217967348570136555178954998692894296187375479491564440732269719819313550246689923304169410915174174006224892131904729687617834334522518733789870411523784149406127330048455070754230529863136012120622232525994285277869269293857411063837031274794294032332934523831014463569530864269938310247089331743387900348260711727764118393723972826699633823139104995352072145755813030354597868959604480494423728043475965077317857010794125377956692009934160714930340174219066235330252530282377381381193802102838186704026997531845727495524874428787540787385850510800529433827660878462525757711158894983975800454523491343289619423512271209127897859183715339587314202905152336238159021989775468948437439820784276366037854009245679281076745833680132923450355805704904722971521550467669469394206633991171153029120230997485268386838228062889593173009710705522945271040460673445563006619164852250595315554649571134518577285201}
19981 276426540521415769423497178417607575213338488293278043462294000510142300: {39958,299595,319568,359514,1018011,1297595,1537151,1557114,1735563,1816451,2195930,2452251,2594930,2635116,3073994,3113916,3525663,3912748,4391420,4927403,5163683,5269704,5310363,5589640,5928417,6288345,6423578,6555983,6707568,7376690,7486125,7546014,7824712,7985200,8034611,8154651,8338682,8502851,8802801,8817458,8852028,8983350,9176540,9365690,9425471,9582240,10221056,10479525,10621091,10780020,10827515,11011848,11178160,11238828,11498688,11556671,12146930,12388329,12475625,12534083,12575430,12936024,12993018,13413792,13450431,13597034,14152863,14207951,14553027,14576316,14779898,14854431,14880383,14921852,14970750,15032498,15090516,15557915,15710051,15905163,15968800,16147595,16273823,16448138,16509530,16604571,17285279,17424938,17964900,17974154,18196031,18669498,18697611,19142159,19162560,19377114,19678115,19811436,20426003,20440064,21114140,21225736,21257690,21557880,22024595,22442930,22509311,22840211,22995072,23111018,23497340,23551131,23613738,23813339,23878953,23979011,23992108,24252615,24341018,24585663,24684731,25077731,25336968,25439612,25509228,25869456,25994330,26085371,26429514,26582618,26832959,26931516,26971048,27272483,27283115,27440114,27586043,27626651,27720671,28196808,28427325,28504089,29103138,29121578,29189951,29729163,30322480,30342429,30411291,30652031,30831311,31033802,31181468,31193196,31721409,32452491,32739738,32757491,32760683,32919359,33015740,33902138,34112790,34147551,34217051,34255730,34274440,34567082,34610632,34776611,34824063,35187179,35470883,35564618,35608965,35814362,35825330,35982515,36380639,36386976,36388394,36559595,37136315,37610099,37982896,38113259,38192483,38193663,38339548,38389403,38558745,38936961,38960690,39006251,39200331,39387914,39618888,40199711,40365731,40935348,41106876,41115563,41129328,41192492,41541663,41699930,41986571,42310595,42391625,42730758,42733298,42790605,42987971,42990396,43077251,43179018,43871514,43998892,44044730,44144474,44309891,44563578,44571249,45643312,45752392,45860639,45861771,46270494,46353525,46437116,46752794,46752828,46948012,47183691,47455715,48016874,48172863,48595115,49106291,49160091,49364498,49443760,49601258,50039916,50672690,50690409,50772714,50859971,50869950,51117791,51348726,51471441,51983420,52853676,53138315,53660522,53741451,54067071,54261280,54404483,54560690,54796499,54868571,55435754,55534172,55624230,55691931,56090603,56946858,57296428,57578056,57622691,57665330,57957663,58314138,58328114,58603071,58722719,58763003,58961231,59228771,59332512,59461931,59697971,60212811,60345725,60565631,60615772,60653951,60708165,60807228,60993131,61043940,61275525,61285631,61297898,61538930,61804691,62155595,62380104,62561183,62723723,62777163,62855560,63361343,63537565,63641948,63765978,63768383,64230011,64329779,64336571,64388618,64755376,64775313,64882312,64966682,65113536,65360560,65472828,65819231,66597771,66749076,66963071,67007516,67042739,68067002,68143091,68202674,68301515,68557391,68887403,69127563,69198396,69392531,69970115,70177617,70367282,70526411,70561708,70701663,70712505,70854011,70858940,71080715,71479739,71501411,71643531,71916611,72271625,72414870,72568538,72743915,72748874,72753962,72849798,72992601,73208991,73252728,73530630,73575218,73592771,73846716,73850915,74153291,74385983,74586714,74723903,75111836,75267577,75426672,75506236,75614051,75706883,76013211,76245078,76659914,77242528,77553791,77720690,78004658,78432672,78467051,78915611,79137311,79181759,79661183,79866203,80032863,80391338,80406491,80450531,80484959,80722298,81139211,81335498,81502211,81852040,81961818,82318130,82331651,82409319,82756811,83102954,83634143,83794732,83964138,84012232,84145811,84230330,84612530,84855006,85030728,85296858,85603994,86477915,86522330,86593960,86708579,86725950,86747171,86897844,87097948,87292698,87838216,87988936,88236756,88566591,88621098,89028914,89077768,89417445,90072651,90436943,90767950,90927011,91097690,91460819,91515203,91573311,91908515,91983740,92083545,92488223,92507680,92706083,93264828,93665163,94063514,94260891,94315199,94393151,94513761,94572611,94610315,94685291,95378608,95613779,95639738,95659569,95661530,96024092,96033611,96332531,96594765,97042331,97418205,97521951,97939130,98222448,98300265,98435903,98709116,98781756,98817993,98987553,99349151,99445082,...,5655814663749706825610304535116451073541254230445064418971331367145708416083713384530108998874601315639871775395403215115269863336585345544940077390003631334422645196031848822392239914468682700652498257779612584283768935994737480038765657141722962438500867033718046454728619369474893576197108149208970214052411192464516308537751994996589580809345922063097335496211834302428281854159906077714999297199520943684523406295442217640248782257272036788833402509269711113481245218133271153657412398808503817850284945733641113144183157722173905467632636556013525246799889974065451417294916758487698212082822694052590205517274794444657282778441587141803384309429838904267781706397748065402161404622621819225775871995160723039627155190812053752391619339792749494085751309649073246272028183457738812297832812318185691631061176837586789557688669974942461723901792528186420230040649227705241543373332957122918307141353069605197803653235322404221464903631711274416284053014678585463748160269013811907508455708899404647756833044988058640369804046600931210090296679961856033419944846212239773614459431771500817229339859705043983369066163983028253829974585471329758659693840202654284921832128399694880825409590341829130078007558687266765570556265247600205102437480667515423875684198695188141570946735854637215884846371104722262747776200612328625587318878069141612424583063863984076069056664853392494524674168766254143209118492679670164795948224893917225739024455242703816559964374687466918328905004282068957196288750065865661829611473495078089161235414844445718422055444378207597315839159311863645747247579495720600904312511689185021451416993308492080680654506144224017130183115891885878224873814816044182999150385781982555001912463343872393185893785391948257262899743427140072552828920081084351814141640001699077723110906918105456905615809889450667925571879145498143810855353516805452936995280299091428912090903540846028090015438114204917563153068838292753762744388882325303279544429663898011861180103044820433321389403229029433545529201333707469540150594078551918378204790599728421108860916151671457150371055823716659031686536336444447931212581484181318850058708384177385460364841985640842595689344429608800661450199632346553570089383431560770049638324654963071477121822222061563219829061772290623131426848740238606664923859061583167305988752587643026293092418066995586564405559214553565565341633189509206306250157112446030024978386493882031712199208169773397940094338974039817514682827496310034659047037159025725143214751782708366392392043110579365108019284759374485693251080329452442324517200464347615637018824524965297102266178430852139993802762861007750707139463825279472640659231637391301286769757142681058833837275589346578880953240453565625421647107003373709836508508258402803784248938702663375794303327366499238383387716514467347734039245103547837950034343614878526645301067272697988457719492564683028278837197145578287119449752270540203114984212029319700625264583253094379035154717138678994239041435661111573510564600474407606539630628695400623559292525608845321561537372160307996647024515784304083852790897346280940697260361387280897927417342158886469667460420739532761512691436380268}
19982 277498164439757246541745508795076532957420733379107834759971348041505484: {59937,279622,379297,399460,479352,539271,678742,758518,1236838,1357348,1714582,2076152,2112262,2314084,2335671,2430118,2668342,2758177,3230497,3269668,3293895,3513488,3540598,3583981,3892395,3952674,4151888,4406257,4489942,4523437,4610991,4670874,4700884,4890935,5042662,5436982,5489275,5515798,5574817,5869122,6587130,6617542,6846623,6987050,7026272,7080484,7088758,7314157,7429537,7904556,8384460,8579377,8943424,8967862,9045958,9514198,9635367,9722017,9780890,9981500,10061352,10371142,10517581,10682278,10872868,11065035,11070838,11148502,11319021,11470675,11536582,11647981,11737068,11802704,11977800,12508023,12776320,12994957,13226187,13278042,13475025,13664557,13764810,13972700,14048535,14109517,14373360,14442481,14682464,14774797,14985104,15011302,15331584,15548902,16009078,16170030,16468678,16517772,16767240,16858242,17156998,17248032,17324024,17538838,17885056,17933908,18220395,18572519,18652315,18681958,18863145,18870484,19138198,19143757,19404036,19435088,19489527,19593862,19805908,19821478,19961000,20110897,20120688,20217997,20352022,20395551,21178657,21206884,21259702,21637222,21863542,21864474,22139428,22169847,22382778,22391062,22456125,22548747,22635774,22992982,23218438,23293558,23518822,23599667,23953200,24130081,24338737,24651181,24672207,24764295,24892664,24930148,25016902,25539718,25550080,25836152,25997617,26137407,26392675,26415248,26512237,26532170,26552119,26657398,26947350,26961231,27025057,27536077,28004247,28248481,28451377,28552717,28586182,28743840,29065671,29251318,29371675,29546518,29694022,29717154,29990135,30284303,30564397,30577702,30660096,30963277,31401508,31484984,31532422,31671210,31799515,31838604,31886535,31955437,32054257,32118598,32336820,32448817,32743981,32780884,32849878,33235034,33664395,33713810,33723181,33782624,34012304,34492608,34598422,34666527,34743718,34888717,35239352,35246010,35396758,35420607,35852077,35908688,35988162,36139681,36511527,36771142,36808237,36915478,37595744,37903100,38005452,38040481,38159418,38228977,38263842,38714278,38804184,38976835,38991495,39144502,39447181,39638884,39644271,39873927,39937898,40033343,40146118,40190797,40217542,40397274,40431718,40456572,40548388,41160171,41269675,41590928,41938417,42295212,42843050,43263290,43269988,43299757,43652984,43654707,43682367,44287777,44466481,44614582,44825782,45089677,45483720,45530068,45879622,46160038,46370182,46413217,46432084,46500877,46550703,46772202,46789794,46790038,47478620,47837158,47924435,47980081,48185398,48515968,48602758,49109607,49227718,49523610,50286637,50380799,50539681,50853207,50924884,50959981,51169185,51211297,51383595,51411660,51490615,51795181,51850623,51915948,52044337,52267108,52825184,52950262,53346927,53360998,53721543,53737995,54044278,54419437,54580464,54582591,54809168,54839104,54998182,54998615,55388884,55406038,55464481,55484671,56220022,56660954,56772023,56974344,57054140,57190490,57205297,57234262,57320528,57509322,57572024,57706342,58046395,58062637,58110358,58244902,58441035,58495352,58603681,58685015,58849558,59081871,59117878,59141197,59251942,59418104,59428332,59522977,59720662,60356557,60657517,61055542,61122118,61149028,61403022,61404877,61660314,61693992,61788738,61804700,61919782,62337104,62549895,62911588,62913622,62950897,63379723,63706102,64017707,64096137,64099947,64230484,64485594,64768527,64979275,65033677,65087398,65546788,65807271,65807857,65808118,65998338,66067095,66216711,66461638,66719888,66780577,66845367,66983302,67438918,67587212,67696952,67826600,67874977,68145697,68464968,68628588,68817457,69017581,69405741,69417715,69655674,69705238,69769702,70129191,70129242,70422018,70471568,70660081,70983181,71304481,71432497,71620535,71655268,71696182,71888038,71972570,72015862,72025311,72068257,72089428,72696817,72759277,73503181,73510703,73993357,74046747,74115718,74165640,74255908,74401887,74418481,74599597,74748598,74900017,75059874,75064438,75495457,75769715,75929144,76009035,76009558,76025197,76159071,76304925,76386598,76449382,76763062,76858439,76990319,77023089,77276884,77752184,77943047,77975130,78137428,78569450,78916897,79026481,79110016,79190317,79280514,79461937,79552435,79568182,79677937,79815958,79839181,80212897,80283748,80310742,80371981,80490783,80496022,80897581,80944220,81053857,81076304,81102890,81235702,81312877,81391920,81415981,81666118,81700700,81841035,82580977,83074822,83153631,83173472,83301258,83436345,83456282,83501878,83514637,83702884,83759395,83806438,83867302,84353638,84516337,84717718,85021304,85074481,85420287,85625398,85944642,85981681,86203981,86367084,86497995,86818048,87297104,87415597,87471207,87489862,87492171,88123681,88202135,88326838,88336391,88573675,88797028,88810957,88863238,88930081,88998768,89205517,89400097,89754358,89783857,90109798,90155114,90160417,90168982,90566317,90923658,90995878,91210842,91565910,91629037,91746914,91760902,91799857,91946847,92113078,92136097,92170084,92230342,92264528,92268577,92308395,92932582,92945197,92990998,93070477,93570156,93856717,93889795,93915181,93973357,94060081,94117537,94268884,94283340,94288177,94382795,94483981,94504198,94736038,94757581,95334157,95462922,95524708,95545462,95584717,95648967,95891398,95899681,95948998,96087457,96121702,96471181,96553160,96582927,96834097,96936877,97133064,97253677,97323468,97386481,97440982,97450023,97611988,97662227,97670304,97711777,97840822,97882417,97965037,98021399,98040840,98209242,98232481,98321783,98451181,98462288,98547697,98679457,98694982,98818159,98921377,99010081,99114481,99149062,99368497,99400177,99448952,99677197,99703117,99711181,99722737,99756577,99805681,99808417,99819757,99828262,...,8483721995624560238415456802674676610311881345667596628456997050718562624125570076795163498311901973459807663093104822672904795004878018317410116085005447001633967794047773233588359871703024050978747386669418876425653403992106220058148485712584443657751300550577069682092929054212340364295662223813455321078616788696774462806627992494884371214018883094646003244317751453642422781239859116572498945799281415526785109443163326460373173385908055183250103763904566670221867827199906730486118598212755726775427418600461669716274736583260858201448954834020287870199834961098177125942375137731547318124234041078885308275912191666985924167662380712705076464144758356401672559596622098103242106933932728838663807992741084559440732786218080628587429009689124241128626964473609869408042275186608218446749218477278537446591765256380184336533004962413692585852688792279630345060973841557862315059999435684377460712029604407796705479852983606332197355447566911624426079522017878195622240403520717861262683563349106971635249567482087960554706069901396815135445019942784050129917269318359660421689147657251225844009789557565975053599245974542380744961878206994637989540760303981427382748192599542321238114385512743695117011338030900148355834397871400307653656221001273135813526298042782212356420103781955823827269556657083394121664300918492938380978317103712418636874595795976114103584997280088741787011253149381214813677739019505247193922337340875838608536682864055724839946562031200377493357506423103435794433125098798492744417210242617133741853122266668577633083166567311395973758738967795468620871369243580901356468767533777532177125489962738121020981759216336025695274673837828817337310722224066274498725578672973832502868695015808589778840678087922385894349615140710108829243380121626527721212460002548616584666360377158185358423714834176001888357818718247215716283030275208179405492920448637143368136355311269042135023157171307376344729603257439130644116583323487954919316644495847017791770154567230649982084104843544150318293802000561204310225891117827877567307185899592631663291374227507185725556583735574988547529804504666671896818872226271978275088062576266078190547262978461263893534016644413200992175299448519830355134075147341155074457486982444607215682733333092344829743592658435934697140273110357909997385788592374750958983128881464539439638627100493379846608338821830348348012449784263809459375235668669045037467579740823047568298812254660096910141508461059726272024241244465051988570555738538587714822127674062549588588064665869047662028927139061728539876620494178663486775800696521423455528236787447945653399267646278209990704144291511626060709195737919208960988847456086951930154635714021588250755913384019868321429860680348438132470660505060564754762762387604205676373408053995063691454991049748857575081574771701021601058867655321756925051515422317789967951600909046982686579238847024542418255795718367430679174628405810304672476318043979550937896874879641568552732075708018491358562153491667360265846900711611409809445943043100935338938788413267982342306058240461994970536773676456125779186346019421411045890542080921346891126013238329704501190631109299142269037154570402}
19983 278573913502023104385608300953222650883883279767577514294331108000685075: {79916,419433,499325,599190,639136,719028,1018113,1137777,1696685,1816633,1855257,2036022,2415281,2571873,2595190,2892605,3074302,3114228,3168393,3471126,3632902,3645177,4002513,4087085,4391860,4904502,5047097,5189860,5270232,5310897,5765261,5876105,5929011,6147988,6227832,6734913,7006311,7051326,7563993,7825496,8155473,8273697,8782840,8803683,8850605,9828941,9854806,9880695,9926313,10327366,10480575,10539408,10546673,10620726,10633137,11139193,11179280,11612777,11856834,12476875,12576690,12847156,12923537,13111966,13415136,13451793,13568937,13591085,14008681,14271297,14671335,14753380,14972250,15092028,15158521,15556713,15649424,15915281,15970400,16023417,16069222,16309302,16606257,16677364,16722753,17005702,17304873,17465875,17605602,17634916,17704056,17941613,17966700,18158657,18353080,18731380,18783617,18850942,19164480,19917063,20428057,20442112,20647215,20959050,21242182,21525953,21560040,21655030,21781081,22023696,22356320,22417385,22477656,22516953,22606633,22997376,23113342,23323353,23588105,23676557,24013617,24255045,24293860,24703017,24757385,24776658,24951250,25068166,25150860,25287363,25735497,25872048,25986036,26308257,26508605,26601913,26827584,26900862,27194068,27549361,27588817,27674285,28022937,28143037,28305726,28415902,28590881,28707297,29106054,29152632,29390793,29559796,29708862,29732217,29760766,29843704,29941500,30064996,30181032,30528033,30834433,31115830,31162685,31420102,31810326,31889553,31937600,32295190,32455833,32478737,32547646,32760793,32795313,32796711,32896276,33019060,33209142,33574167,33586593,33953661,34489473,34570558,34827657,34849876,34940337,35278233,35929800,35948308,36392062,36614881,37338996,37395222,37525353,37613881,38137613,38196361,38284318,38309577,38325120,38754228,38867977,38904697,38972417,39251885,39356230,39622872,39798255,39986097,40421025,40438333,40852006,40880128,40976105,42228280,42451472,42515380,42879273,43115760,43218797,43876977,43934801,44049190,44319777,44541033,44575731,44885860,45018622,45680422,45866553,45990144,46222036,46994680,47102262,47227476,47298633,47378875,47506815,47626678,47757906,47958022,47984216,48177897,48505230,48682036,48858233,49171326,49274817,49369462,49548605,49620493,49852551,50155462,50375521,50570715,50591057,50673936,50685485,50879224,51018456,51183433,51738912,51897633,51988660,51990841,52115577,52170742,52859028,52869015,53095137,53165236,53665918,53863032,53942096,53982243,54087485,54198937,54544966,54566230,54880228,55156713,55172086,55253302,55373217,55441342,56393616,56843497,56854650,56912585,57008178,57018137,57239127,57395763,58040105,58071241,58071417,58149437,58206276,58211213,58243156,58379902,58716753,59234833,59348275,59458326,59906847,60219177,60326313,60595911,60644960,60647577,60684858,60822582,61304062,61323697,61662622,62067604,62362513,62362936,62386392,63442818,63656105,64264575,64894935,64904982,65018957,65333885,65479476,65514982,65521366,65838718,66031480,66438001,66921873,67049497,67238673,67260281,67467817,67804276,68033161,68225580,68295102,68434102,68511460,68548880,68819433,69134164,69221264,69236105,69240057,69399577,69553222,69555273,69648126,70158303,70184691,70185057,70374358,70941766,71129236,71217930,71317675,71628724,71650660,71755737,71965030,72278097,72428473,72443597,72761278,72773952,72776788,72904137,73119190,73841577,73902781,74272630,74285415,74393641,75220198,75621673,75965792,76024913,76172801,76226518,76384966,76387326,76436285,76679096,76778806,77117490,77255875,77446553,77873922,77921380,78012502,78400662,78639485,78775828,79189777,79237776,79425393,80041497,80150801,80288105,80399422,80731462,81066417,81870696,81933485,82161581,82213752,82231126,82258656,82384984,82497273,82765153,83083326,83109057,83164217,83399860,83795657,83973142,84330033,84484015,84621190,84783250,84991431,85374217,85461516,85466596,85581210,85785735,85851393,85975942,85980792,86108621,86154502,86263983,86327681,86358036,86559513,87017833,87165537,87367353,87743028,87997784,88089460,88274337,88288948,88619782,88676817,88877913,88952591,89127156,89142498,89546153,89569085,89580993,90074381,90111785,90119777,91286624,91504784,91583313,91683177,91721278,91723542,92104533,92490471,92540988,92643881,92683107,92688481,92707050,92819885,92874232,92879673,93129481,93505588,93505656,93525913,93589997,93896024,94367382,94370433,94911430,95025853,95559153,95622121,95623417,96033748,96345726,96596105,96728391,97052113,97161377,97190230,97631097,97671785,97958161,98212582,98320182,98712177,98728996,98887520,98997507,99202516,99513001,99692457,...,12725582993436840357623185204012014915467822018501394942685495576077843936188355115192745247467852960189711494639657234009357192507317027476115174127508170502450951691071659850382539807554536076468121080004128314638480105988159330087222728568876665486626950825865604523139393581318510546443493335720182981617925183045161694209941988742326556821028324641969004866476627180463634171859788674858748418698922123290177664164744989690559760078862082774875155645856850005332801740799860095729177897319133590163141127900692504574412104874891287302173432251030431805299752441647265688913562706597320977186351061618327962413868287500478886251493571069057614696217137534602508839394933147154863160400899093257995711989111626839161099179327120942881143514533686361692940446710414804112063412779912327670123827715917806169887647884570276504799507443620538878779033188419445517591460762336793472589999153526566191068044406611695058219779475409498296033171350367436639119283026817293433360605281076791894025345023660457452874351223131940832059104852095222703167529914176075194875903977539490632533721485876838766014684336348962580398868961813571117442817310491956984311140455972141074122288899313481857171578269115542675517007046350222533751596807100461480484331501909703720289447064173318534630155672933735740904334985625091182496451377739407571467475655568627955311893693964171155377495920133112680516879724071822220516608529257870790883506011313757912805024296083587259919843046800566240036259634655153691649687648197739116625815363925700612779683400002866449624749850967093960638108451693202931307053865371352034703151300666298265688234944107181531472638824504038542912010756743226005966083336099411748088368009460748754303042523712884668261017131883578841524422711065163243865070182439791581818690003822924876999540565737278037635572251264002832536728077370823574424545412812269108239380672955715052204532966903563202534735756961064517094404886158695966174874985231932378974966743770526687655231850845974973126157265316225477440703000841806465338836676741816350960778849388947494937061341260778588334875603362482821294706757000007845228308339407967412632093864399117285820894467691895840301024966619801488262949172779745532701112721011732611686230473666910823524099999638517244615388987653902045710409665536864996078682888562126438474693322196809159457940650740069769912508232745522522018674676395714189062853503003567556201369611234571352448218381990145365212262691589589408036361866697577982855833607807881572233191511093824382882096998803571493043390708592592809814930741267995230163701044782135183292355181171918480098901469417314986056216437267439091063793606878813441483271184130427895231953571032382376133870076029802482144791020522657198705990757590847132144143581406308514560112080992595537182486574623286362622362157551532401588301482982635387577273133476684951927401363570474029868858270536813627383693577551146018761942608715457008714477065969326406845312319462352829098113562027737037843230237501040398770351067417114714168914564651403008408182619901973513459087360692992455805160514684188668779519029132116568835813121382020336689019857494556751785946663948713403555731855603}
19984 279653803475859531785808080740143845876632699900956179538586424950782930: {99895,119874,219703,459103,559244,758594,798920,898785,937039,958704,1078542,1357484,1413823,1517036,2473676,2600743,2714696,3054033,3429164,3780463,3892785,4152304,4224524,4601983,4611453,4628168,4671342,4860236,5069839,5206689,5336684,5449353,5489825,5516354,6460994,6487325,6539336,6587790,6847309,7026976,7081196,7167962,7356753,7684985,7784790,7852783,7905348,8303776,8427343,8656663,8812514,8979884,9046874,9221982,9341748,9401768,9781870,10085324,10140223,10576989,10820839,10873964,10934023,10978550,11031596,11149634,11498863,11738244,13174260,13182583,13235084,13693246,13974100,14052544,14160968,14177516,14628314,14782209,14850103,14859074,15491049,15732823,15809112,15842839,15931089,16058945,16501423,16768920,17158754,17375503,17785251,17886848,17935724,18028039,18091916,18136543,18441725,18461623,18677983,18865035,19028396,19270734,19444034,19561780,19667949,19963000,20122704,20742284,20846705,21035162,21364556,21745736,22043645,22130070,22141676,22206343,22297004,22312039,22458375,22638042,22941350,23073164,23295962,23414225,23474136,23605408,23955600,23993383,24103833,24463953,25016046,25449439,25508553,25552640,25989914,26113241,26408403,26452374,26556084,26950050,27329114,27402943,27529620,27945400,28097070,28116103,28219034,28276413,28746720,28884962,28926823,29128783,29364928,29549594,29632423,29970208,30022604,30367325,30663168,31033039,31097804,31379777,31438575,31628983,31863273,32018156,32340060,32482545,32937356,33035544,33534480,33716484,33992585,34313996,34472839,34496064,34648048,34670013,35077676,35770112,35867816,35920039,36015943,36398839,36440790,36949745,36971023,37145038,37164987,37256143,37304630,37363916,37426875,37581245,37602249,37726290,37740968,38276396,38287514,38808072,38870176,38979054,39187724,39611816,39642956,39700039,39922000,40221794,40241376,40351293,40435994,40704044,40791102,41120345,41273825,41546839,41986189,42357314,42368503,42413768,42458589,42519404,42623853,43274444,43562345,43659081,43727084,43728948,44278856,44339694,44519321,44563293,44641149,44765556,44782124,44912250,44935385,45065263,45097494,45271548,45685183,45985964,46037839,46125823,46436876,46564663,46587116,46673745,47037644,47130153,47199334,47436943,47715489,47783839,47906400,48129583,48260162,48442785,48677474,48821469,48988903,49302362,49344414,49528590,49785328,49813713,49860296,50033804,50348839,50433223,51079436,51100160,51523663,51672304,51855837,51995234,52105783,52274814,52785350,52830496,53024474,53064340,53104238,53144225,53314796,53894700,53922462,53993623,54050114,54567569,54588093,55072154,55364503,56008494,56092833,56107325,56496962,56902754,57105434,57172364,57426477,57487680,57577063,57777545,58121383,58131342,58430839,58502636,58743350,59034345,59093036,59275903,59388044,59434308,59980270,60568606,60852545,61014703,61089439,61128794,61155404,61278009,61320192,61462039,61926554,62495743,62803016,62861503,62934439,62969968,63007303,63064844,63342420,63599030,63677208,63773070,63910874,64091623,64108514,64237196,64673640,64897634,64985825,65487962,65561768,65572793,65699756,66073785,66420103,66456545,66470068,66489439,66903943,67094209,67328790,67427620,67446362,67527933,67565248,67861039,68024608,68520633,68600285,68985216,69196844,69203839,69333054,69487436,69777434,69864439,69930103,70478704,70492020,70582783,70653393,70793516,70836161,70841214,71440017,71636859,71704154,71817376,71937033,71976324,72056623,72086861,72279362,72371983,72757845,72803945,73023054,73542284,73616474,73676839,73756989,73830956,74054193,74226343,74589439,74903309,75191488,75233193,75781039,75806200,76010904,76080962,76318836,76424143,76457954,76527684,76598023,76998061,77172943,77230039,77428556,77457703,77584505,77608368,77953670,77982990,78256113,78289004,78301183,78689263,78894362,79128463,79277768,79288542,79747854,79875796,80066686,80292236,80312503,80381594,80435084,80498877,80794548,80863436,80913144,81047839,81096776,81264953,81769063,81817449,81849345,82159021,82320342,82325839,82539350,82758129,82879953,83071039,83120143,83162013,83181856,83315839,83800039,83876834,84324343,84590424,84700183,84755345,85025263,85281975,85483543,85512267,85619623,85639325,85686100,85934623,86113039,86417705,86526580,86539976,86599514,87305968,87309414,87364734,87569853,87792223,88082023,88575554,88691143,88911545,88932962,89187489,89229164,89535905,89563325,89651564,89860783,90011839,90049423,90179354,90568039,90749839,90785983,90893983,90967440,90970985,91027287,91060136,91143463,91233873,91759244,91956093,92005663,92320076,92493933,92740364,92759143,92826434,92864168,93001754,93101406,93413839,93534943,93544404,93565039,93579588,93580076,93862039,94036783,94151839,94600543,94844839,94957240,95135503,95164227,95213263,95366839,95392183,95674316,95848870,95960162,96188143,96211039,96324439,96370796,96524023,97031936,97184801,97186423,97205516,97264039,97357473,97401725,97616983,97652623,97723039,97826503,98073823,98219214,98272473,98275063,98282049,98435839,98455436,98469785,98574439,98758077,98877703,99047220,99109039,99217543,99351463,99454423,99461839,99595039,99618223,99645583,99799663,99804343,99814783,99820183,99835303,...,16967443991249120476830913605349353220623762691335193256913994101437125248251140153590326996623803946919615326186209645345809590009756036634820232170010894003267935588095546467176719743406048101957494773338837752851306807984212440116296971425168887315502601101154139364185858108424680728591324447626910642157233577393548925613255984989768742428037766189292006488635502907284845562479718233144997891598562831053570218886326652920746346771816110366500207527809133340443735654399813460972237196425511453550854837200923339432549473166521716402897909668040575740399669922196354251884750275463094636248468082157770616551824383333971848335324761425410152928289516712803345119193244196206484213867865457677327615985482169118881465572436161257174858019378248482257253928947219738816084550373216436893498436954557074893183530512760368673066009924827385171705377584559260690121947683115724630119998871368754921424059208815593410959705967212664394710895133823248852159044035756391244480807041435722525367126698213943270499134964175921109412139802793630270890039885568100259834538636719320843378295314502451688019579115131950107198491949084761489923756413989275979081520607962854765496385199084642476228771025487390234022676061800296711668795742800615307312442002546271627052596085564424712840207563911647654539113314166788243328601836985876761956634207424837273749191591952228207169994560177483574022506298762429627355478039010494387844674681751677217073365728111449679893124062400754986715012846206871588866250197596985488834420485234267483706244533337155266166333134622791947517477935590937241742738487161802712937535067555064354250979925476242041963518432672051390549347675657634674621444448132548997451157345947665005737390031617179557681356175844771788699230281420217658486760243253055442424920005097233169332720754316370716847429668352003776715637436494431432566060550416358810985840897274286736272710622538084270046314342614752689459206514878261288233166646975909838633288991694035583540309134461299964168209687088300636587604001122408620451782235655755134614371799185263326582748455014371451113167471149977095059609009333343793637744452543956550176125152532156381094525956922527787068033288826401984350598897039660710268150294682310148914973964889214431365466666184689659487185316871869394280546220715819994771577184749501917966257762929078879277254200986759693216677643660696696024899568527618918750471337338090074935159481646095136597624509320193820283016922119452544048482488930103977141111477077175429644255348125099177176129331738095324057854278123457079753240988357326973551601393042846911056473574895891306798535292556419981408288583023252121418391475838417921977694912173903860309271428043176501511826768039736642859721360696876264941321010121129509525524775208411352746816107990127382909982099497715150163149543402043202117735310643513850103030844635579935903201818093965373158477694049084836511591436734861358349256811620609344952636087959101875793749759283137105464151416036982717124306983334720531693801423222819618891886086201870677877576826535964684612116480923989941073547352912251558372692038842822091781084161842693782252026476659409002381262218598284538074309140804}
19985 280737850188757020529354508739909028979893538989480195703245394307669400: {159832,179811,699055,838866,998650,1137891,1198380,1278272,1438056,1617813,1696855,1896295,2036226,2275554,2375359,2415523,2854423,3092095,3393370,3633266,3710514,4049647,4072044,4286455,4830562,5143746,5190380,5280655,5721919,5785210,5964751,6075295,6148604,6228456,6336786,6443527,6670855,6942252,7007013,7265804,7290354,8005026,8114359,8174170,8226547,8274531,8783720,8851495,9691491,9809004,9881685,10094194,10302259,10379720,10506799,10540464,10621794,10751943,10985287,11224855,11530522,11677185,11752210,11858022,12295976,12390847,12455664,12606655,13218771,13361623,13469826,13570311,13592455,13724191,13789495,13832973,13889119,14012622,14102652,14672805,15127986,15273271,15650992,16310946,16467825,16543855,16547394,16724451,16758607,17467625,17565680,17607366,17701210,17721895,17787667,18160483,19027519,19657882,19699891,19709612,19761390,19852626,20052391,20539869,20654732,20961150,21078816,21093346,21241452,21266274,21373087,21460231,21942471,22278386,22288611,22358560,22419655,22614895,23225554,23383459,23713668,23785495,24452225,24687223,24831511,24953750,25153380,25309423,25694312,25738131,25847074,25927855,26223932,26705695,26710927,26830272,26903586,27137874,27182170,27677095,27871255,28017362,28542594,28593763,28841455,28906101,29166051,29342670,29506760,29944500,30184056,30317042,31113426,31298848,31384339,31552743,31830562,31940800,32046834,32138444,32482003,32618604,33023347,33195105,33212514,33354728,33393631,33445506,33789223,33957063,34011404,34111639,34412025,34609746,34660339,34931750,34943943,35211204,35269832,35408112,35883226,35933400,36127159,36317314,36706160,37112047,37462760,37524069,37528255,37567234,37681303,37701884,38328960,38644327,38743999,38872255,38984871,39407863,39678561,39834126,40022695,40425075,40856114,40884224,40993671,41171695,41294430,41918100,42145605,42328551,42484364,42624391,42836719,42856759,42892495,43051906,43120080,43223143,43310060,43327443,43417687,43562162,43627759,43847095,43939219,44047392,44324391,44712640,44834770,44955312,45033906,45213266,45327031,45869923,45994752,46058311,46137103,46226684,46646706,46704895,47176210,47353114,47845495,48027234,48449203,48510090,48587720,48984655,49406034,49514770,49553316,49553695,49771471,49902500,50136332,50201527,50301720,50574726,50880055,51276727,51470994,51744096,51972072,52616514,53017210,53149255,53203826,53655168,53801724,54093055,54388136,54658855,54661185,54952639,55098722,55177634,55348570,55717557,55739959,55956945,55977655,56045874,56215039,56286074,56589435,56611452,56831804,57181762,57366547,57414594,57431271,57482455,58046095,58212108,58233895,58305264,58468581,58781586,58797055,59119592,59300911,59417724,59464434,59521532,59687408,59789431,59883000,60016759,60129992,60332691,60362064,60653991,61056066,61186653,61668866,62159743,62231660,62325370,62542255,62840204,63431863,63535971,63620652,63779106,63849295,63875200,64215919,64590380,64911666,64957474,65025511,65059591,65095292,65521586,65590626,65593422,65792552,66038120,66296179,66330425,66418284,66509541,66643495,67148334,67173186,67368375,67385071,67586983,67646241,67692823,67899151,67907322,68978946,69141116,69157027,69368047,69503023,69655314,69699752,69880674,70556466,70799001,70959679,71465455,71859600,71896616,72390243,72784124,73016211,73128295,73229762,73866295,73953543,74016621,74235055,74292885,74677992,74736943,74790444,75050706,75227762,75722479,75977431,76275226,76392722,76444255,76568636,76619154,76650240,76843927,77508456,77735954,77809394,77944834,77992851,78412221,78503770,78550519,78712460,78740887,78831055,79178025,79245744,79489423,79536711,79596510,79656357,79677619,79972194,80296495,80821519,80842050,80876666,80883693,81075171,81256147,81704012,81760256,81952210,82124695,82169863,82608231,83087585,83124511,83788543,84012741,84132439,84284525,84456560,84745443,84902944,85030760,85134307,85354131,85492759,85506871,85658151,85758546,85983343,86169463,86231520,86437594,86496055,86859295,87197013,87753954,87869602,88098380,88115025,88491895,88639554,89082066,89118547,89151462,89580307,89771720,89970405,90037244,90083527,90455119,90455251,90549943,90744079,90852909,91360844,91467439,91693191,91733106,91927855,91980288,92288695,92444072,92653363,92889831,93073783,93561511,93599431,93989360,94044799,94204524,94454952,94597266,94757750,95013630,95174563,95253356,95398545,95515812,95659605,95851603,95866311,95916044,95968432,96162771,96239047,96355794,96785695,96930547,97010460,97171171,97346451,97364072,97716466,97861255,98231943,98342652,98549634,98738924,99031231,99097210,99240986,99705102,99844745,...,25451165986873680715246370408024029830935644037002789885370991152155687872376710230385490494935705920379422989279314468018714385014634054952230348255016341004901903382143319700765079615109072152936242160008256629276960211976318660174445457137753330973253901651731209046278787162637021092886986671440365963235850366090323388419883977484653113642056649283938009732953254360927268343719577349717496837397844246580355328329489979381119520157724165549750311291713700010665603481599720191458355794638267180326282255801385009148824209749782574604346864502060863610599504883294531377827125413194641954372702123236655924827736575000957772502987142138115229392434275069205017678789866294309726320801798186515991423978223253678322198358654241885762287029067372723385880893420829608224126825559824655340247655431835612339775295769140553009599014887241077757558066376838891035182921524673586945179998307053132382136088813223390116439558950818996592066342700734873278238566053634586866721210562153583788050690047320914905748702446263881664118209704190445406335059828352150389751807955078981265067442971753677532029368672697925160797737923627142234885634620983913968622280911944282148244577798626963714343156538231085351034014092700445067503193614200922960968663003819407440578894128346637069260311345867471481808669971250182364992902755478815142934951311137255910623787387928342310754991840266225361033759448143644441033217058515741581767012022627515825610048592167174519839686093601132480072519269310307383299375296395478233251630727851401225559366800005732899249499701934187921276216903386405862614107730742704069406302601332596531376469888214363062945277649008077085824021513486452011932166672198823496176736018921497508606085047425769336522034263767157683048845422130326487730140364879583163637380007645849753999081131474556075271144502528005665073456154741647148849090825624538216478761345911430104409065933807126405069471513922129034188809772317391932349749970463864757949933487541053375310463701691949946252314530632450954881406001683612930677673353483632701921557698777894989874122682521557176669751206724965642589413514000015690456616678815934825264187728798234571641788935383791680602049933239602976525898345559491065402225442023465223372460947333821647048199999277034489230777975307804091420819331073729992157365777124252876949386644393618318915881301480139539825016465491045044037349352791428378125707006007135112402739222469142704896436763980290730424525383179178816072723733395155965711667215615763144466383022187648765764193997607142986086781417185185619629861482535990460327402089564270366584710362343836960197802938834629972112432874534878182127587213757626882966542368260855790463907142064764752267740152059604964289582041045314397411981515181694264288287162812617029120224161985191074364973149246572725244724315103064803176602965965270775154546266953369903854802727140948059737716541073627254767387155102292037523885217430914017428954131938652813690624638924705658196227124055474075686460475002080797540702134834229428337829129302806016816365239803947026918174721385984911610321029368377337559038058264233137671626242764040673378039714989113503571893327897426807111463711206}
19986 281826069528275895299670736018805072469203535801688319299290502185867798: {139853,199790,239748,259649,439406,459149,738113,918206,1118488,1175693,1258299,1334573,1453649,1497975,1517188,1597840,1797570,1874078,1917408,1929233,2157084,2714968,2827646,3034072,3054339,3309773,3413331,3427649,3820049,4407149,4485293,4602449,4947352,5090055,5201486,5303873,5429392,5449899,5459393,5565771,6108066,6487975,6858328,7245843,7507949,7560926,7623233,7685755,7715619,7785570,8006993,8304608,8449048,8466449,8657549,8677815,9082255,9203966,9222906,9256336,9342684,9343853,9505179,9720472,9799949,9913793,10139678,10179149,10413378,10673368,10758979,10821953,10898706,10935149,10935531,10979650,11032708,11048273,11612813,11763053,11875649,12007539,12261255,12624449,12921988,12974650,13072193,13078672,13175580,13694618,13852973,14001293,14053952,14162392,14335924,14713506,14851649,15141291,15369970,15569580,15705566,15771149,15810696,15881153,15932691,16607552,16854686,17295783,17304653,17313326,17625028,17628315,17787033,17959768,18093748,18443964,18571793,18683496,18803536,19219649,19563740,19685933,20170648,20204739,20222273,20280446,20543213,21018933,21076673,21153978,21641678,21747928,21868046,21957100,22063192,22299268,22420049,22482523,22691979,22771649,22997726,23052353,23192513,23476488,24413453,24466419,24637015,24821091,25818415,26003213,26348520,26365166,26411049,26470168,26551815,26586449,26825933,27386492,27439949,27610049,27948200,28105088,28321936,28355032,28457549,28626449,28727693,29185387,29256628,29486823,29535053,29564418,29642085,29700206,29718148,29736173,29778939,30371153,30861103,30982098,31036433,31069613,31441725,31465646,31618224,31632449,31640019,31685678,31862178,31899411,31962449,32117890,32521613,32779915,33002846,33417579,33537840,33828173,34185233,34317508,34751006,34838331,35539649,35570502,35773696,35871448,35924033,35956013,36056078,36183832,36273086,36402893,36434753,36883450,36923246,36975149,37085191,37291949,37355966,37430625,37730070,38056792,38541468,38770611,38801453,38888068,39123560,39175949,39335898,39704513,39735533,39926000,40173055,40245408,40261649,40355379,40706811,40773255,41484568,41693410,41856593,42026043,42039233,42070324,42464273,42514255,42729112,42813891,42917933,43219373,43369793,43491472,43759949,44014005,44087290,44260140,44283352,44357549,44412686,44594008,44624078,44916750,45100049,45276084,45336593,45475563,45882700,46072493,46146328,46482413,46570049,46591924,46670139,46828450,46948272,47094353,47127355,47210816,47589619,47745843,47789393,47911200,47986766,48070251,48077633,48163949,48207666,48393773,48927906,49251053,49364813,49676993,49818771,50032092,50101133,50168259,50298449,50354753,50898878,50944013,51017106,51105280,51279149,51640913,51729643,51914619,51979828,52111949,52226482,52397625,52613743,52816806,52904748,53105455,53112168,53211149,53824839,53900100,54137575,54475971,54486353,54658228,54805886,55059240,55237649,55451153,55890800,56194140,56232206,56350851,56438068,56552826,56563649,56826449,57140753,57271373,57493440,57568483,57688013,57769924,57783355,57853646,58128449,58205933,58257566,58463693,58729856,59099188,59206673,59264846,59283149,59461313,59751189,59940416,60045208,60496973,60672449,60734650,60987283,61121873,61284171,61326336,61420049,61469633,61543949,61941645,62066078,62086733,62195608,62378125,62601233,62670415,62759554,62877150,62909539,62942273,62966573,63015149,63087953,63257966,63726546,64036312,64099649,64266893,64528913,64577859,64680120,64813649,64884653,64965090,65120813,65343243,65450093,65874712,66034193,66071088,66520973,66912449,66981293,67068960,67252155,67432968,67550859,67819899,67869713,67892333,67985170,68095553,68627992,68945678,68992128,69296096,69340026,69610049,69829649,69895373,69970059,70155352,70201133,70764315,70807949,71029671,71039755,71173313,71387153,71540224,71557649,71621453,71735632,71840078,72031886,72040851,72087149,72465293,72757613,72765135,72797678,72820049,72881580,72882413,73027649,73899490,73942046,73951949,74012993,74109051,74256449,74272155,74290076,74329974,74401915,74512286,74609260,74619473,74659649,74727832,74853750,74959949,75162490,75204498,75317933,75452580,75481936,75862089,75908813,75987053,76104173,76552792,76575028,76781633,77145293,77202449,77206491,77495119,77581649,77616144,77740352,77789575,77863949,77958108,78144449,78274733,78375448,78550255,78700049,78924771,79102913,79157549,79169827,79212113,79223632,79285912,79400078,79519949,79525815,79735853,79805739,79844000,80235149,80443588,80482752,80702586,80737975,80871988,80888563,80902733,81076493,81283949,81369115,81370049,81408088,81582204,81746513,81797549,82102253,82240690,82387649,82504493,82547650,82637549,82648083,82766451,82935053,83022855,83093678,83131949,83538449,83715463,83812013,83972378,84068811,84336449,84429111,84493649,84540653,84714628,84737006,84805649,84827536,84917178,85038808,85193563,85247706,85450433,85692353,85772643,85902353,85947149,86051393,86121891,86214413,86347073,86426395,86493713,86548888,86610449,86654093,86712173,86755649,86871233,87124690,87300113,87318162,87454168,87457896,87469649,87860753,88136273,88172379,88476173,88557712,88679388,88744493,88837649,88943633,89038642,89126586,89140973,89196651,89213179,89258513,89282298,89531112,89564248,89683949,89811149,89824500,89836493,89870770,90130526,90187949,90194988,90543096,90594113,90763793,90799949,90979649,90980155,91015373,91062893,91310273,91368653,91370366,91584099,91930193,91971928,91986413,92075678,92220353,92251646,92297549,92319533,92503299,92515949,92591633,92784449,92869313,92873752,93039163,93129326,93174232,93224273,93306449,93347490,93438893,93488055,93590033,93640013,93679853,93788753,93886913,94003649,94022993,94075288,94167053,94260306,94318733,94337549,94398668,94679873,94707149,94869293,94873886,95002433,95151149,95177153,95340173,95365649,95382593,95391053,95430978,95567678,95632913,95668659,95682113,95710795,95812800,95955473,96040399,96096449,96119693,96234833,96259166,96363149,96452333,96520324,96569453,96677393,96797549,96885570,96887873,96949613,96983633,97091153,97170449,97222673,97287233,97354948,97367499,97436211,97531373,97642938,97745933,97757549,97815149,97977806,98107073,98185613,98206253,98221649,98282379,98307533,98385939,98390133,98390575,98523713,98592173,98604724,98650049,98688828,98727953,98872013,98887853,98899649,98930753,98968913,99057180,99067949,99110093,99120449,99210413,99318353,99347393,99405773,99411149,99504833,99530573,99570656,99589649,99627426,99648449,99695213,99720592,99727553,99737549,99741713,99772433,99784973,99792449,99795533,99797549,99829073,99847949,99848813,99852653,99858113,...,38176748980310521072869555612036044746403466055504184828056486728233531808565065345578235742403558880569134483918971702028071577521951082428345522382524511507352855073214979551147619422663608229404363240012384943915440317964477990261668185706629996459880852477596813569418180743955531639330480007160548944853775549135485082629825966226979670463084973925907014599429881541390902515579366024576245256096766369870532992494234969071679280236586248324625466937570550015998405222399580287187533691957400770489423383702077513723236314624673861906520296753091295415899257324941797066740688119791962931559053184854983887241604862501436658754480713207172844088651412603807526518184799441464589481202697279773987135967334880517483297537981362828643430543601059085078821340131244412336190238339736983010371483147753418509662943653710829514398522330861616636337099565258336552774382287010380417769997460579698573204133219835085174659338426228494888099514051102309917357849080451880300081815843230375682076035070981372358623053669395822496177314556285668109502589742528225584627711932618471897601164457630516298044053009046887741196606885440713352328451931475870952933421367916423222366866697940445571514734807346628026551021139050667601254790421301384441452994505729111160868341192519955603890467018801207222713004956875273547489354133218222714402426966705883865935681081892513466132487760399338041550639172215466661549825587773612372650518033941273738415072888250761779759529140401698720108778903965461074949062944593217349877446091777101838339050200008599348874249552901281881914325355079608793921161596114056104109453901998894797064704832321544594417916473512115628736032270229678017898250008298235244265104028382246262909127571138654004783051395650736524573268133195489731595210547319374745456070011468774630998621697211834112906716753792008497610184232112470723273636238436807324718142018867145156613598900710689607604207270883193551283214658476087898524624955695797136924900231311580062965695552537924919378471795948676432322109002525419396016510030225449052882336548166842484811184023782335765004626810087448463884120271000023535684925018223902237896281593197351857462683403075687520903074899859404464788847518339236598103338163035197835058691421000732470572299998915551733846166962961706137131228996610594988236048665686379315424079966590427478373821952220209309737524698236567566056024029187142567188560509010702668604108833703714057344655145970436095636788074768768224109085600092733948567500823423644716699574533281473148646290996410714479130172125777778429444792223803985690491103134346405549877065543515755440296704408251944958168649311802317273191380820636440324449813552391283685695860713097147128401610228089407446434373061567971596117972272772541396432430744218925543680336242977786611547459723869859087867086472654597204764904448947906162731819400430054855782204090711422089606574811610440882151080732653438056285827826146371026143431197907979220535936958387058487294340686083211113529690712503121196311053202251344142506743693954209025224547859705920540377262082078977367415481544052566006338557087396349706507439364146061010067059572483670255357839991846140210667195566809}
19987 282918477442272687550612507732790509954119158995680274991137615899309922: {299685,319664,359622,659109,978677,1377309,1398110,1677732,1896485,1997300,2275782,2375597,2396760,2556544,2654813,2696355,2811117,2854709,2876112,3235626,3373409,3393710,3792590,4072452,4241469,4328933,4551108,4750718,4831046,5708846,6001037,6184190,6786740,7201589,7266532,7392917,7421028,7802229,8099294,8144088,8505413,8572910,9162099,9339197,9589697,9661124,10287492,10380760,10561310,11341389,11443838,11570420,11678355,11742893,11929502,12150590,12175397,12297208,12392093,12456912,12673572,12887054,13341710,13790885,13805949,13834359,13884504,14014026,14531608,14566637,14580708,15209517,15523133,15620067,15714797,15791009,16010052,16152485,16228718,16348059,16348340,16453094,16469475,16549062,16957877,17567440,17649317,17702990,17914373,17919905,19029437,19305293,19382982,19461975,19618008,19763370,20188388,20541927,20604518,20759440,21013598,21080928,21243588,21462389,21503886,21970574,22031285,22070259,22449710,22617185,22847093,23054955,23061044,23161397,23354370,23504420,23558349,23716044,23820533,24454675,24591952,24781694,24810653,24911328,25213310,25282029,25969989,26437542,26544029,26713613,26723246,26939652,27140622,27184910,27260897,27446375,27448382,27578990,27634997,27665946,27778238,27874085,28025244,28205304,29175809,29345610,29853389,30255972,30420669,30546542,31301984,31387517,31660853,31730967,32462517,32621892,32802069,32935650,33087710,33094788,33299693,33396989,33448902,33517214,33792629,34227413,34233115,34496589,34787117,34935250,35131360,35214732,35402420,35443790,35524709,35575334,36298997,36320966,36570785,36802433,37147685,37387973,38055038,38124773,38648213,38747933,39019757,39315764,39399782,39419224,39522780,39547749,39705252,40104782,40377413,40378037,41079738,41309453,41309464,41922300,42157632,42186692,42482904,42532548,42746174,42841037,42896885,42920462,43291853,43422053,43884942,44323277,44346627,44532449,44550309,44556772,44577222,44717120,44839310,44889473,45229790,45331589,46451108,46473147,46572929,46766918,47050709,47198469,47427336,47528517,47570990,47793267,47876333,48176835,48454109,48610085,48904450,49374446,49504269,49663022,49907500,50306760,50618846,50648897,50875373,51388624,51476262,51694148,51855710,52126509,52447864,52539557,52587905,52880897,53355753,53411390,53421854,53660544,53807172,54084117,54209909,54275748,54364340,54409629,54421157,54813053,55325175,55354190,55384869,55742510,55868993,56031773,56033949,56034724,56107589,56595105,57085188,57187526,57258149,57353375,57640373,57682910,57812202,58239905,58332102,58685340,59003847,59013520,59889000,60022853,60049493,60368112,60634084,61011557,61385933,62226852,62540115,62597696,62768678,62828573,63105486,63390629,63661124,63881600,64093668,64276888,64349213,64888337,64964006,64974785,65237208,65386853,65402273,65874497,66046694,66130935,66390210,66425028,66619029,66709456,66787262,66891012,66936117,66983693,67375125,67578446,67914126,68022808,68163677,68223278,68322785,68578517,68810549,68824050,69219492,69320678,69375173,69510029,69863500,69887886,70242675,70422408,70539664,70547585,70547717,70816224,70875533,70883909,70928897,71232077,71252417,71501333,71766452,71770733,71866800,71980149,72212405,72254318,72311499,72634628,73391859,73412320,73743893,73873985,74224094,74233949,74408957,74925520,74964929,75048138,75056510,75134468,75362606,75403768,75730277,76348317,76522397,76525659,76657920,76842209,77288654,77487998,77744510,77969742,78339723,78368717,78510533,78558437,78815726,79161533,79225209,79357122,79668252,79890389,80000609,80018753,80045390,80431109,80475437,80850150,81264533,81527453,81699893,81712228,81768448,81987342,82208829,82315877,82343390,82588860,83796989,83836200,84171293,84291210,84348309,84657102,84829239,84968728,85248782,85673438,85713518,85784990,85884389,86103812,86178149,86240160,86446286,86620120,86654886,86780469,86835374,87124324,87255518,87386349,87559157,87694190,87875789,87878438,88094784,88405409,88648782,88897269,89120117,89389013,89425280,89669540,89910624,90067812,90153953,90329933,90426532,90464237,90654062,90753293,91101975,91739846,91989504,92116622,92274206,92453368,92862595,93083309,93099117,93261575,93293412,93300893,93409790,94030373,94139331,94315725,94352420,94706228,94714157,94886949,95589819,95690990,95718785,95861309,96054468,96062693,96898406,97020180,97175440,97447635,97969310,98812068,99029540,99106632,99107390,99542942,99805000,...,50902331973747361430492740816048059661871288074005579770741982304311375744753420460770980989871411840758845978558628936037428770029268109904460696510032682009803806764286639401530159230218144305872484320016513258553920423952637320348890914275506661946507803303462418092557574325274042185773973342880731926471700732180646776839767954969306227284113298567876019465906508721854536687439154699434993674795688493160710656658979958762239040315448331099500622583427400021331206963199440382916711589276534360652564511602770018297648419499565149208693729004121727221199009766589062755654250826389283908745404246473311849655473150001915545005974284276230458784868550138410035357579732588619452641603596373031982847956446507356644396717308483771524574058134745446771761786841659216448253651119649310680495310863671224679550591538281106019198029774482155515116132753677782070365843049347173890359996614106264764272177626446780232879117901637993184132685401469746556477132107269173733442421124307167576101380094641829811497404892527763328236419408380890812670119656704300779503615910157962530134885943507355064058737345395850321595475847254284469771269241967827937244561823888564296489155597253927428686313076462170702068028185400890135006387228401845921937326007638814881157788256693274138520622691734942963617339942500364729985805510957630285869902622274511821247574775856684621509983680532450722067518896287288882066434117031483163534024045255031651220097184334349039679372187202264960145038538620614766598750592790956466503261455702802451118733600011465798498999403868375842552433806772811725228215461485408138812605202665193062752939776428726125890555298016154171648043026972904023864333344397646992353472037842995017212170094851538673044068527534315366097690844260652975460280729759166327274760015291699507998162262949112150542289005056011330146912309483294297698181651249076432957522691822860208818131867614252810138943027844258068377619544634783864699499940927729515899866975082106750620927403383899892504629061264901909762812003367225861355346706967265403843115397555789979748245365043114353339502413449931285178827028000031380913233357631869650528375457596469143283577870767583361204099866479205953051796691118982130804450884046930446744921894667643294096399998554068978461555950615608182841638662147459984314731554248505753898773288787236637831762602960279079650032930982090088074698705582856756251414012014270224805478444938285409792873527960581460849050766358357632145447466790311931423334431231526288932766044375297531528387995214285972173562834370371239259722965071980920654804179128540733169420724687673920395605877669259944224865749069756364255174427515253765933084736521711580927814284129529504535480304119209928579164082090628794823963030363388528576574325625234058240448323970382148729946298493145450489448630206129606353205931930541550309092533906739807709605454281896119475433082147254509534774310204584075047770434861828034857908263877305627381249277849411316392454248110948151372920950004161595081404269668458856675658258605612033632730479607894053836349442771969823220642058736754675118076116528466275343252485528081346756079429978227007143786655794853614222927422412}
19988 284015089939127356450069148937475058874763182772702914711016511976505614: {279706,399580,479496,519298,539433,878812,918298,1215547,1476226,1836412,1929427,2097165,2236976,2351386,2496625,2516598,2522347,2669146,2907298,2995950,3034376,3195680,3413673,3595140,3748156,3834816,3858466,4172947,4314168,4524811,4853439,5090565,5343307,5429936,5655292,5688885,6042067,6068144,6108678,6619546,6826662,6855298,7126077,7246569,7431811,7640098,8483425,8563269,8814298,8925667,8970586,9083165,9204898,9276285,9496987,9725011,9894704,10180110,10402972,10520827,10607746,10634227,10760057,10858784,10899798,10918786,11087107,11131542,11651587,11764267,12076405,12148941,12216132,12715157,12859365,12975950,13716656,14225011,14446987,14463025,14491686,14557867,14779411,15015898,15121852,15246466,15371510,15431238,15571140,15841965,16013986,16609216,16898096,16932898,17165757,17306467,17315098,17355630,17524411,17850787,17894253,18164510,18225885,18407932,18445812,18512672,18685368,18687706,19010358,19149811,19330581,19440944,19599898,19827586,20012565,20224411,20279356,20358298,20435425,20826756,21021039,21291811,21346736,21517958,21643906,21797412,21870298,21871062,21959300,22065416,22096546,22563187,23089867,23225626,23526106,23751298,24015078,24242227,24343077,24522510,24679641,24763147,24823593,25235485,25248898,25843976,25949300,26144386,26157344,26351160,26554485,26828827,27238507,27389236,27705946,28002586,28107904,28257667,28324784,28562011,28671848,28826305,29074473,29380525,29427012,29571811,29645055,29703298,29772907,30282582,30739940,30906777,31073011,31139160,31411132,31520397,31542298,31621392,31762306,31865382,32064811,32255829,32360947,32558011,32955861,33215104,33674565,33709372,33734347,33831907,34491821,34591566,34609306,34626652,35031555,35250056,35256630,35574066,35919536,35960011,36145781,36151747,36187496,36247507,36438811,36887928,37143586,37172541,37366992,37607072,37819965,38147587,38439298,38524147,39127480,39371866,39656313,39740011,39925987,40084869,40341296,40389667,40409478,40444546,40560892,40710933,40777365,41035093,41086426,41172573,41368485,41498919,41667357,42037866,42044011,42153346,42307956,42771787,43283356,43495856,43736092,43827953,43914200,44018415,44034307,44126384,44253025,44303011,44571067,44598536,44840098,44965046,45383958,45543298,45819813,45891881,45901627,45995452,46104706,46253707,46385026,46517011,46952976,47128867,47390011,48083227,48826906,48857587,48932838,49144705,49274030,49403475,49631565,49642182,50173353,50275821,50977987,51636830,51813547,51896707,52006426,52402875,52476811,52697040,52730332,52733365,52822098,52940336,53103630,53165685,53172898,53363001,53651866,54114811,54481449,54519811,54772984,54879898,55220098,55484467,55695965,55896400,56210176,56242277,56643872,56710064,56915098,57082557,57252898,57304411,57455386,57850747,58063885,58238827,58370774,58513256,58625107,58973646,59070106,59086267,59099673,59128836,59284170,59400412,59436296,59472346,59519957,59557878,60157173,60742306,60755011,61619607,61722206,61964196,62072866,62094427,62139226,62384375,62462347,62883450,62931292,62974411,63120067,63236448,63264898,63280038,63371356,63724356,63798822,63924898,64119261,64235780,64380693,64560787,64617685,65043226,65129011,65270347,65481811,65559830,65827413,65978297,66005692,66321187,66835158,66865833,67012747,67075680,67258965,67656346,67765147,67844685,67901011,67955425,68370466,68635016,69110827,69502012,69676662,69958933,70043405,70150377,70232011,70362547,70752427,71079298,71141004,71204011,71356485,71396467,71547392,71742896,71848066,71912026,72112156,72159811,72367664,72546172,72788011,72805786,72869506,72912787,73356675,73766900,73846492,73950298,74061669,74170382,74347637,74494533,74508667,74583898,74711932,74861250,75460140,75525811,75792605,75928269,75938587,76113584,76114411,76580107,76983811,77082936,77214393,77541222,77602906,77776136,77783565,78247120,78351898,78671796,79059067,79113787,79409026,79471066,79576405,79852000,79925947,80117085,80132781,80193067,80299411,80346110,80405467,80490816,80523298,80710758,80896697,80931427,80983627,81413622,81546510,81757987,82214827,82616011,82963267,82969136,83031285,83386820,83613765,83713186,84052086,84078466,84140648,84458707,84928546,85028510,85458224,85478011,85627782,85704811,85749037,85781289,85835866,86063947,86241787,86438746,86524365,86681347,86718303,86739586,86941627,86982944,87113707,87327187,87329375,87498153,87519898,87738581,87998227,88028010,88163107,88174580,88204147,88408267,88520280,88566704,88715098,88771147,88825372,88890811,88970227,89188016,89248156,89708065,89833500,89862811,89938627,90200098,90552168,90673186,90793285,90951126,91324411,91765400,91842811,92112667,92144986,92292656,92894587,92964826,92989411,93140098,93183848,93208147,93340278,93544747,93564341,93656900,93843187,93896544,93918085,94153017,94188706,94254710,94421632,94557787,94613011,94658229,95179238,95406811,95491686,95578786,95706187,95822400,95971507,95973532,96140502,96155266,96296587,96327898,96415332,96520147,96542107,96693811,96787546,96904411,96966187,97047547,97446009,97529947,97710307,97855812,97950481,98145547,98177011,98284867,98299987,98502106,98546011,98729626,98745811,98771227,98893987,98987011,99070041,99128347,99169387,99179467,99248011,99353986,99365947,99448387,99455657,99464011,99516427,99551707,99585315,99637542,99646747,99739411,99748267,99805507,99846547,99852811,99878011,...,76353497960621042145739111224072089492806932111008369656112973456467063617130130691156471484807117761138268967837943404056143155043902164856691044765049023014705710146429959102295238845327216458808726480024769887830880635928955980523336371413259992919761704955193627138836361487911063278660960014321097889707551098270970165259651932453959340926169947851814029198859763082781805031158732049152490512193532739741065984988469938143358560473172496649250933875141100031996810444799160574375067383914801540978846767404155027446472629249347723813040593506182590831798514649883594133481376239583925863118106369709967774483209725002873317508961426414345688177302825207615053036369598882929178962405394559547974271934669761034966595075962725657286861087202118170157642680262488824672380476679473966020742966295506837019325887307421659028797044661723233272674199130516673105548764574020760835539994921159397146408266439670170349318676852456989776199028102204619834715698160903760600163631686460751364152070141962744717246107338791644992354629112571336219005179485056451169255423865236943795202328915261032596088106018093775482393213770881426704656903862951741905866842735832846444733733395880891143029469614693256053102042278101335202509580842602768882905989011458222321736682385039911207780934037602414445426009913750547094978708266436445428804853933411767731871362163785026932264975520798676083101278344430933323099651175547224745301036067882547476830145776501523559519058280803397440217557807930922149898125889186434699754892183554203676678100400017198697748499105802563763828650710159217587842323192228112208218907803997789594129409664643089188835832947024231257472064540459356035796500016596470488530208056764492525818255142277308009566102791301473049146536266390979463190421094638749490912140022937549261997243394423668225813433507584016995220368464224941446547272476873614649436284037734290313227197801421379215208414541766387102566429316952175797049249911391594273849800462623160125931391105075849838756943591897352864644218005050838792033020060450898105764673096333684969622368047564671530009253620174896927768240542000047071369850036447804475792563186394703714925366806151375041806149799718808929577695036678473196206676326070395670117382842001464941144599997831103467692333925923412274262457993221189976472097331372758630848159933180854956747643904440418619475049396473135132112048058374285134377121018021405337208217667407428114689310291940872191273576149537536448218171200185467897135001646847289433399149066562946297292581992821428958260344251555556858889584447607971380982206268692811099754131087031510880593408816503889916337298623604634546382761641272880648899627104782567371391721426194294256803220456178814892868746123135943192235944545545082792864861488437851087360672485955573223094919447739718175734172945309194409529808897895812325463638800860109711564408181422844179213149623220881764302161465306876112571655652292742052286862395815958441071873916774116974588681372166422227059381425006242392622106404502688285013487387908418050449095719411841080754524164157954734830963088105132012677114174792699413014878728292122020134119144967340510715679983692280421334391133618}
19989 285115923087971360040404027429640853472244467697537893139352971978132061: {419559,499475,599370,639328,719244,778947,1098515,1318218,1377447,1957354,2214339,2295515,2655079,2754618,2796220,3355464,3373747,3527079,3732707,3774897,3792970,3994600,4003719,4360947,4493925,4551564,4685195,4751194,4793520,5113088,5309626,5392710,5622234,5709418,5752224,5787699,6363731,6471252,6746818,6787420,7069115,7585180,7800059,8144904,8482938,8657866,8991587,9102216,9163017,9501436,9662092,9929319,10239993,10282947,11417692,11460147,12002074,12368380,12927431,13003715,13221447,13297979,13455879,13573480,13807347,14403178,14533064,14785834,14842056,15270165,15604458,15911619,16198588,16280359,16288176,16349697,16378179,16697313,17010826,17145820,17947019,18324198,18678394,18902315,19149847,19179394,19307239,19322248,19463925,19471331,19972739,20574984,20761520,21122620,21532439,21737529,22523847,22613479,22682778,22869699,22887676,23009915,23057265,23140840,23146857,23356710,23485786,23683691,23859004,24020979,24273947,24301180,24350794,24594416,24784186,24913824,25087867,25347144,25349195,25399347,25774108,25972647,26033445,26683420,27141419,27246765,27449125,27581770,27611898,27668718,27769008,28028052,28031559,28063379,28151539,28515537,29063216,29133274,29161416,29399847,29741379,29856391,29900387,30419034,30537447,30843799,31046266,31240134,31429594,31582018,31664059,32020104,32276937,32304970,32436625,32457436,32465859,32696118,32696680,32805447,32806593,32906188,32938950,33098124,33144819,33915754,34236545,34838439,35134880,35289159,35298634,35405980,35626947,35828746,35839810,36022617,36783765,37873347,38058874,38424925,38610586,38765964,38879719,38923950,39023719,39216579,39236016,39263915,39526740,40376776,40450579,40951451,41083854,41132131,41209036,41313607,41518880,41558919,41983747,42003879,42027196,42136715,42161856,42487176,42924778,43007772,43283315,43941148,44062570,44140518,44185907,44554947,44893987,44899420,45234370,45423873,45694186,46109910,46122088,46322794,46708740,47008840,47116698,47313447,47432088,47641066,47643459,47798073,47881159,47926361,48111491,48909350,49183904,49318247,49543499,49563388,49621306,49822656,50426620,50564058,50701115,51163099,51199099,51597947,51887349,51893831,51913959,51939978,52006759,52875084,52884945,53088058,53361099,53427226,53446492,53879304,54104195,54281244,54369820,54466247,54521794,54670115,54892750,54896764,55157980,55269994,55331892,55556476,55715379,55748170,56050488,56410608,56860711,57263947,57494315,57658947,58318931,58351618,58691220,59057799,59102179,59706778,59722027,60055639,60230099,60511944,60614217,60666819,60841338,60883427,61093084,61603859,61629639,62603968,62775034,63056799,63230019,63321706,63461934,64925034,65243784,65604138,65871300,65912915,66175420,66189576,66599386,66793978,66897804,67034428,67260147,67447569,67488199,67585258,68054119,68075937,68314947,68454826,68466230,68557907,68993178,69157059,69574234,69577539,69870500,70262720,70429464,70804840,70887580,70936099,71049418,71150668,72522259,72597994,72641932,73141570,73240359,73399257,73604866,73623067,73911045,73925107,74250515,74295370,74463273,74775946,76110076,76249546,77296426,77455245,77495866,78009639,78039514,78186179,78631528,78664115,78756347,78799564,78838448,79045560,79095498,79213831,79214195,79233147,79410504,79655445,79759347,80026819,80209564,80294725,80477799,80754826,80756074,81171907,81535867,82159476,82319847,82507115,82618906,82618928,82830147,83045099,83844600,84315264,84373384,84965808,85065096,85372647,85400071,85492348,85682074,85793770,85840924,85879347,86183079,86354147,86583706,86844106,86877515,87042467,87333347,87556161,87769884,87884647,88118939,88460469,88605159,88646554,88693254,88926255,89064898,89100618,89113544,89154444,89208519,89336817,89434240,89678620,89778946,90140195,90147431,90459580,90663178,90682715,90964699,91113459,92208625,92308115,92583309,92902216,92946294,93109299,93145858,93208839,93389915,93533836,93554539,94101418,94185227,94325175,94396938,94854672,94897347,94920057,95054947,95057034,95141980,95586534,95651899,95698233,95752666,95857499,95887347,96353670,96371467,96554419,96908218,97220170,97564839,97808900,98339745,98748892,98766619,99008538,99326044,99815000,...,114530246940931563218608666836108134239210398166512554484169460184700595425695196036734707227210676641707403451756915106084214732565853247285036567147573534522058565219644938653442858267990824688213089720037154831746320953893433970785004557119889989379642557432790440708254542231866594917991440021481646834561326647406455247889477898680939011389254921777721043798289644624172707546738098073728735768290299109611598977482704907215037840709758744973876400812711650047995215667198740861562601075872202311468270151106232541169708943874021585719560890259273886247697771974825391200222064359375888794677159554564951661724814587504309976263442139621518532265954237811422579554554398324393768443608091839321961407902004641552449892613944088485930291630803177255236464020393733237008570715019210949031114449443260255528988830961132488543195566992584849909011298695775009658323146861031141253309992381739095719612399659505255523978015278685484664298542153306929752073547241355640900245447529691127046228105212944117075869161008187467488531943668857004328507769227584676753883135797855415692803493372891548894132159027140663223589820656322140056985355794427612858800264103749269667100600093821336714544204422039884079653063417152002803764371263904153324358983517187333482605023577559866811671401056403621668139014870625820642468062399654668143207280900117651597807043245677540398397463281198014124651917516646399984649476763320837117951554101823821215245218664752285339278587421205096160326336711896383224847188833779652049632338275331305515017150600025798046622748658703845645742976065238826381763484788342168312328361705996684391194114496964633783253749420536346886208096810689034053694750024894705732795312085146738788727382713415962014349154186952209573719804399586469194785631641958124236368210034406323892995865091635502338720150261376025492830552696337412169820908715310421974154426056601435469840796702132068822812621812649580653849643975428263695573874867087391410774700693934740188897086657613774758135415387846029296966327007576258188049530090676347158647009644500527454433552071347007295013880430262345391652360813000070607054775054671706713688844779592055572388050209227062562709224699578213394366542555017709794310014489105593505176074263002197411716899996746655201538500888885118411393686989831784964708145997059137946272239899771282435121465856660627929212574094709702698168072087561427701565681527032108005812326501111142172033965437911308286910364224306304672327256800278201845702502470270934150098723599844419445938872989232143437390516377333335288334376671411957071473309403039216649631196630547266320890113224755834874505947935406951819574142461909320973349440657173851057087582139291441385204830684268222339303119184703914788353916818317624189297292232656776631041008728933359834642379171609577263601259417963791614294713346843718488195458201290164567346612272134266268819724434831322646453242197960314168857483478439113078430293593723937661607810875161175461883022058249633340589072137509363588933159606754032427520231081862627075673643579117761621131786246236932102246444632157698019015671262189049119522318092438183030201178717451010766073519975538420632001586700427}
19990 286220993018916579774602926297660972623214864771234362199838505068177131: {219769,339541,559412,578869,799160,817909,899055,958992,1038596,1056661,1078866,1414249,1757624,1836596,1977327,2008789,2431094,2719861,2936031,2952452,2956309,3495275,3672824,3858854,3899221,4131927,4194330,4473952,4486201,4702772,4720489,4954489,4993250,5033196,5044694,5188201,5338292,5538229,5689455,5771221,5814596,5991900,6068752,6391360,6827346,7126791,7190280,7496312,7669632,7716932,7964439,8089065,8200249,8345894,8429929,8433351,8484275,8564127,8628336,8773909,9049622,9481475,9706878,10120227,10143349,10181130,10686614,10824181,10859872,10937401,11050549,11310584,11377770,11389561,11615209,11876795,11953141,12077615,12084134,12136288,12217356,12716431,12724407,12986799,13239092,13521589,13653324,13710596,14252154,14272115,14493138,14863622,15280196,15460475,15517429,15847801,16906967,16966850,17126538,17380969,17628596,17851334,17941172,18003111,18142261,18166330,18409796,18552570,18575701,18993974,19450022,19546729,19789408,20248235,20360220,20618809,20805944,21041654,21215492,21268454,21432275,21520114,21604767,21683689,21717568,21799596,21837572,22174214,22178751,22263084,22319161,22424821,22846741,23303174,23406687,23528534,23582329,23896501,24105589,24152810,24297882,24432264,24627049,25430314,25516239,25561141,25718730,25951900,26403275,26900089,27433312,27486297,27513961,28017591,28450022,28609595,28769091,28893974,28926050,28983372,29115734,29558822,29742649,29823755,30031796,30043861,30243704,30376475,30492932,30743020,30862476,31142280,31440949,31639381,31683930,32027972,32217635,33218432,33354275,33510121,33796192,33865796,33900649,34024167,34331514,34387189,34581301,34612934,34630196,34711260,34871929,35035065,35048822,35161909,35228679,35329679,35701574,35788506,36027961,36329020,36451770,36526191,36815864,36891624,37025344,37078549,37176279,37268629,37363561,37370736,37375412,37553209,38020716,38299622,38403061,38661162,38881888,39199796,39247081,39655172,39806521,40025130,40356827,40448822,40558712,40571795,40716596,40825429,40870850,41132735,41193781,41372655,41417847,41503077,41653512,41927029,42042078,42109621,42382969,42473941,42583622,42693472,43035916,43287812,43594824,43699911,43740596,43742124,43918600,44130832,44193092,44257475,45126374,45628551,45862751,46053781,46141801,46179734,46451252,46569399,46668409,46860201,47052212,47144391,47373027,47502596,48030156,48146389,48457455,48484454,48496019,48686154,49044177,49045020,49359282,49408425,49518421,49526294,49647186,50366581,50451001,50470970,50497796,50535349,50873631,51123769,51511295,51687952,51898600,52207189,52288772,52314688,52533995,52620649,52702320,52947951,53108970,53278441,53657654,53743119,53759715,53768761,54477014,54778472,54926435,55063609,55411892,55464469,55863529,56005172,56022649,56124275,56215808,56515334,56649568,57088311,57124022,57206869,57343696,57652610,57915879,58148946,58220089,58385925,58452181,58761050,58854024,59143622,59290110,59406596,59545814,59907049,60565164,61037269,61112041,61479880,61484821,61559161,61625781,61813554,61954235,62146022,62151289,62278320,62298601,62822264,62957941,63030841,63033275,63040794,63084596,63103669,63242784,63524612,63730764,63827989,64129622,64187449,64387167,64511658,64721894,65116022,65911722,66093855,66210777,66430208,66514741,66653269,66791509,66808115,66929461,66998329,67349130,67418744,67468694,67663814,67851555,67962275,68022709,68541279,68620955,68696629,68802587,68830549,68947475,68983642,69164865,69183132,69218612,69253304,69297001,69445595,69484191,69628021,69891541,69957241,70063110,70219321,70500112,70513260,70675047,71148132,71461599,71767609,71839072,71894761,71920022,72084949,72291562,72303494,72374992,72495014,72877622,73088341,73364025,73775856,73826711,73828789,74287172,74316661,74345082,74431959,74679541,74733984,74783687,75159349,75214144,75338089,75456889,75639930,75846087,75929209,76295174,76366355,76396921,76878596,77048294,77204329,77261461,77602741,77909967,77974351,78165781,78254960,78333289,78743732,78776809,79161109,79312626,79433449,79480022,79632087,79703989,79851974,80140839,80169738,80682592,80779334,80818956,80889092,81121784,81185749,81289439,81421866,81554730,81782691,81803509,82070186,82159081,82172852,82339125,82345146,82410901,82678739,82719275,82736970,82904991,82997838,83155561,83334714,83448889,83622255,83787829,83793035,84075732,84088022,84306692,84615912,84643189,84830101,84969529,85543574,86016949,86239609,86328169,86566712,86991712,87338125,87472184,87527427,87622009,87655906,87828400,87831349,88036830,88068614,88162549,88252768,88506050,88606022,88609475,88731061,88771129,88938335,89142134,89197072,89441269,89560167,89680196,89711161,89863801,89930092,90090601,90128149,90464759,90609721,90767916,90802415,90827881,91086596,91262007,91396969,91639626,91783762,91803254,91990904,92209412,92348521,92507414,92770052,92803129,92898709,93034022,93428089,93609961,93670009,93759541,93905952,94053301,94111189,94162551,94257734,94368121,94756201,94780022,94982559,95051221,95137595,95192901,95208469,95260309,95414101,95439481,95590249,95713909,95837159,95955829,96166454,96236629,96259561,96282421,96395641,96934741,96996409,97256149,97387551,97653812,97667989,97715174,97791721,97865676,97945621,98060767,98141749,98289410,98342521,98406207,98499455,98517049,98545129,98548060,98772181,98806950,98835001,98857847,98931769,98989909,99163861,99263130,99282229,99284364,99355381,99390229,99448441,99518101,99581929,99614869,99646009,99686581,99798901,99806389,99823849,99836521,99848041,99875689,99879289,99880981,99888361,99894841,99895669,99899079,...,152706995921242084291478222448144178985613864222016739312225946912934127234260261382312942969614235522276537935675886808112286310087804329713382089530098046029411420292859918204590477690654432917617452960049539775661761271857911961046672742826519985839523409910387254277672722975822126557321920028642195779415102196541940330519303864907918681852339895703628058397719526165563610062317464098304981024387065479482131969976939876286717120946344993298501867750282200063993620889598321148750134767829603081957693534808310054892945258498695447626081187012365181663597029299767188266962752479167851726236212739419935548966419450005746635017922852828691376354605650415230106072739197765858357924810789119095948543869339522069933190151925451314573722174404236340315285360524977649344760953358947932041485932591013674038651774614843318057594089323446466545348398261033346211097529148041521671079989842318794292816532879340340698637353704913979552398056204409239669431396321807521200327263372921502728304140283925489434492214677583289984709258225142672438010358970112902338510847730473887590404657830522065192176212036187550964786427541762853409313807725903483811733685471665692889467466791761782286058939229386512106204084556202670405019161685205537765811978022916444643473364770079822415561868075204828890852019827501094189957416532872890857609707866823535463742724327570053864529951041597352166202556688861866646199302351094449490602072135765094953660291553003047119038116561606794880435115615861844299796251778372869399509784367108407353356200800034397395496998211605127527657301420318435175684646384456224416437815607995579188258819329286178377671665894048462514944129080918712071593000033192940977060416113528985051636510284554616019132205582602946098293072532781958926380842189277498981824280045875098523994486788847336451626867015168033990440736928449882893094544953747229298872568075468580626454395602842758430416829083532774205132858633904351594098499822783188547699600925246320251862782210151699677513887183794705729288436010101677584066040120901796211529346192667369939244736095129343060018507240349793855536481084000094142739700072895608951585126372789407429850733612302750083612299599437617859155390073356946392413352652140791340234765684002929882289199995662206935384667851846824548524915986442379952944194662745517261696319866361709913495287808880837238950098792946270264224096116748570268754242036042810674416435334814856229378620583881744382547152299075072896436342400370935794270003293694578866798298133125892594585163985642857916520688503111113717779168895215942761964412537385622199508262174063021761186817633007779832674597247209269092765523282545761297799254209565134742783442852388588513606440912357629785737492246271886384471889091090165585729722976875702174721344971911146446189838895479436351468345890618388819059617795791624650927277601720219423128816362845688358426299246441763528604322930613752225143311304585484104573724791631916882143747833548233949177362744332844454118762850012484785244212809005376570026974775816836100898191438823682161509048328315909469661926176210264025354228349585398826029757456584244040268238289934681021431359967384560842668782267236}
19991 287330315923285101598652128203804595513236408561837219478317709519071081: {19991,699265,839118,998950,1198740,1278656,1298245,1438488,1537921,1557894,1618299,2197030,2295745,2636436,2754894,3213721,3646641,3690565,3733081,3914708,4171849,4411381,4428678,4591030,5310158,5509236,5592440,5788281,5878465,6291495,6559273,6672865,6710928,6747494,6802609,7054158,7268245,7465414,7489875,7520773,7549794,7567041,7585940,7989200,8007438,8717713,8721894,8987850,9103128,9370390,9430201,9502388,9587040,9646165,9896761,10226176,10241019,10619252,10626421,10785420,11244468,11418836,11504448,11575398,11617441,12518841,12540373,12727462,12942504,13365649,13493636,13574433,13574840,14138230,14215081,14560317,14675881,15170360,15271695,15277873,15600118,15921673,16029921,16289808,16548865,16965876,17066655,17138245,17315732,17983174,18126201,18204432,18205201,18326034,18791161,19002872,19100245,19324184,19473289,19858638,20058433,20479986,20565894,20649781,21378231,21739707,22035745,22295433,22322473,22426465,22835384,22920294,23011573,23012245,24004148,24694681,24736760,24838993,25317049,25450275,25689807,25854862,26007430,26442894,26463241,26519365,26595958,26777001,26911758,27146960,27249495,27296965,27614694,27734641,27828855,28066201,28490961,28806356,29013241,29066128,29175033,29571668,29684112,29903401,30208021,30336889,30540330,31208916,31364953,31562481,31823238,31902681,32213881,32280171,32397176,32439875,32560718,32576352,32699394,32756358,33261321,33394626,34021652,34291640,34954761,35292801,35336821,35488873,35894038,36138073,36138313,36229215,36396481,36446823,36648396,37356788,37539745,37804630,38116165,38145471,38152981,38299694,38358788,38428775,38578095,38614478,38644496,38927850,38942662,38988169,39945478,40034965,40955569,41149968,41523040,42105013,42245240,42332245,42675033,43064878,43287745,43340961,43389075,43475058,43673601,43775689,44190361,44338233,45047694,45226958,45365556,45411275,45739398,45775352,46019830,46114530,46151041,46281680,46293714,46713420,46719265,46971572,47367382,47525895,47718008,47931163,48041958,48116329,48547894,48602360,48701588,48877921,48999745,49188832,49323241,49384249,49548481,49568372,49568965,49742389,49752769,49827648,50175734,50458393,50694288,50698390,50798694,50895745,51497271,51548216,51919401,51945294,52066890,52328089,52573233,53366840,53552361,53682759,53794895,54109765,54282838,54493530,54675745,54677655,54898250,54969481,55163540,55223796,55241365,55337436,55538016,56056104,56063118,56126758,56303078,57031074,57041281,57449433,57955561,57991743,58064065,58126432,58172869,58234741,58266548,58285201,58322832,58752529,58799694,58815265,58991401,59378245,59482758,59712782,59800774,60037695,60596641,60673233,60838068,60889609,60903061,61074894,61306275,61316761,61329073,61687598,62092532,62480268,62755333,62859188,63063117,63122245,63164036,63328118,63451201,63875433,64040208,64369201,64553874,64609940,64873250,64914872,64931718,65360965,65392236,65393360,65610894,65613186,65812376,65852401,65877900,66196248,66233173,66289638,67315993,67607401,67689561,67831508,67919713,68473090,68922373,69264865,69269601,69676878,70006465,70269760,70578318,70597268,70811960,70889881,70981561,71253894,71657492,71679620,71953141,72045234,72472789,72726681,73029231,73567530,74038923,74190661,74258245,74289441,74470779,74759521,74876041,75706455,75745873,75746694,76055641,76117748,76538161,76849850,77221172,77477761,77531928,77759438,77847900,78047438,78433158,78472032,78527830,78855745,78955381,79053480,79405765,79663455,80486481,80492041,80753552,80901158,81022981,81715521,81902902,82167708,82264262,82418072,82562161,82627214,82955221,83037760,83117838,83197729,83967494,84007758,84054392,84273430,84323712,84773001,84974352,85518961,85611973,85686033,85849556,86015544,86143573,86478915,86523265,86566630,86880361,87051241,87223419,87384553,87882296,88049929,88125140,88141575,88281036,88371814,88669429,88715433,88935165,89109894,89318721,89787974,89798840,90468740,90577729,90847746,91288441,91388372,92219820,92244176,92278081,92534833,92645588,92720331,92753173,92858965,93219033,93417480,94017680,94194721,94233396,94363489,94440721,94561191,94626894,94864176,95282132,95286918,95596146,95762318,95852722,96050281,96098245,96194433,96222982,96463609,96767487,97082841,97674033,97818700,98031061,98367808,98429665,98485873,98636494,98867583,99086998,99126776,99242612,99645312,...,229060493881863126437217333672216268478420796333025108968338920369401190851390392073469414454421353283414806903513830212168429465131706494570073134295147069044117130439289877306885716535981649376426179440074309663492641907786867941570009114239779978759285114865580881416509084463733189835982880042963293669122653294812910495778955797361878022778509843555442087596579289248345415093476196147457471536580598219223197954965409814430075681419517489947752801625423300095990431334397481723125202151744404622936540302212465082339417887748043171439121780518547772495395543949650782400444128718751777589354319109129903323449629175008619952526884279243037064531908475622845159109108796648787536887216183678643922815804009283104899785227888176971860583261606354510472928040787466474017141430038421898062228898886520511057977661922264977086391133985169699818022597391550019316646293722062282506619984763478191439224799319010511047956030557370969328597084306613859504147094482711281800490895059382254092456210425888234151738322016374934977063887337714008657015538455169353507766271595710831385606986745783097788264318054281326447179641312644280113970711588855225717600528207498539334201200187642673429088408844079768159306126834304005607528742527808306648717967034374666965210047155119733623342802112807243336278029741251641284936124799309336286414561800235303195614086491355080796794926562396028249303835033292799969298953526641674235903108203647642430490437329504570678557174842410192320652673423792766449694377667559304099264676550662611030034301200051596093245497317407691291485952130477652763526969576684336624656723411993368782388228993929267566507498841072693772416193621378068107389500049789411465590624170293477577454765426831924028698308373904419147439608799172938389571263283916248472736420068812647785991730183271004677440300522752050985661105392674824339641817430620843948308852113202870939681593404264137645625243625299161307699287950856527391147749734174782821549401387869480377794173315227549516270830775692058593932654015152516376099060181352694317294019289001054908867104142694014590027760860524690783304721626000141214109550109343413427377689559184111144776100418454125125418449399156426788733085110035419588620028978211187010352148526004394823433799993493310403077001777770236822787373979663569929416291994118275892544479799542564870242931713321255858425148189419405396336144175122855403131363054064216011624653002222284344067930875822616573820728448612609344654513600556403691405004940541868300197447199688838891877745978464286874781032754666670576668753342823914142946618806078433299262393261094532641780226449511669749011895870813903639148284923818641946698881314347702114175164278582882770409661368536444678606238369407829576707833636635248378594584465313553262082017457866719669284758343219154527202518835927583228589426693687436976390916402580329134693224544268532537639448869662645292906484395920628337714966956878226156860587187447875323215621750322350923766044116499266681178144275018727177866319213508064855040462163725254151347287158235523242263572492473864204492889264315396038031342524378098239044636184876366060402357434902021532147039951076841264003173400854}
19992 288443908053839856762364068957656607026938735700407237433719664249076862: {259727,379487,439538,578927,618791,679082,857807,1118824,1157738,1258677,1454087,1498425,1573127,1598320,1635818,1798110,1917984,2008991,2048567,2077192,2113322,2157732,2336841,2601791,2759567,2828498,2956607,2995991,3295545,3428687,3515248,3546527,3673192,3781991,3938807,3954654,4017578,4132341,4525727,4603847,4720967,4759991,4862188,4893385,5439722,5577647,5771807,5872062,5904904,5912618,6120791,6507791,6643017,6886545,6990550,7345648,7510247,7625567,7717708,7798442,7965237,8009447,8239391,8263854,8388660,8469047,8583767,8774807,8947904,8972402,9003791,9405544,9440978,9482425,9574991,9802967,9908978,9916847,9986500,10066392,10089388,10121241,10144391,10182287,10376402,10581237,10676584,10938527,11051687,11076458,11089391,11198121,11324691,11378910,11542442,11629192,11653991,11877985,11879327,11983800,11991887,12011157,12137504,12740447,12782720,13001687,13082841,13188047,13274065,13336991,13481775,13654692,13857287,14055585,14116847,14253582,14273545,14302007,14380560,14634791,14856287,14992624,15339264,15433864,15519047,15555791,15886127,15928878,16178130,16325567,16400498,16627513,16691788,16859858,16866702,16867045,16908661,16968550,17128254,17256672,17363097,17382791,17528087,17547818,17926991,18099244,18685847,18829991,18962950,19091193,19225727,19333487,19413756,19584647,19980961,20240454,20286698,20362260,20656607,21189887,21207345,21373228,21644665,21648362,21719744,21721367,21874802,22101098,22621168,22755540,22779122,23230418,23400177,23410007,23753590,23906282,23933927,24142991,24155230,24168268,24272576,24316991,24434712,24664391,25432862,25448814,25973598,26011607,26183447,26478184,26697767,26902991,26937167,26974761,27043178,27244391,27306648,27421192,27489051,27550967,27721007,27924791,28263791,28347529,28504308,28544230,28568207,28635767,28737047,28986276,29074127,29645327,29727244,29779391,29787957,30005185,30481127,30560392,30719979,30848841,30920950,31034858,31477487,31695602,31774991,32071847,32761991,32925791,33122087,33741791,33813934,33904391,33933700,33936887,34253076,34380441,34761938,34875791,34908047,35165807,35197991,35257192,35647727,35702668,35882344,36006222,36007945,36031967,36159791,36284522,36332660,36819592,36828767,36964585,36987527,37082687,37105140,37151402,37272791,37304447,37399367,37746791,37987948,38030327,38218991,38407367,38782293,38900044,39011145,39093458,39189167,39578816,39664341,39811007,39893937,40053433,40367637,40496470,40720440,40830047,40860791,41198447,41237618,41422041,41611888,41753257,41962247,42083308,42114407,42387791,42430984,42527065,42536908,42569687,42841991,42864550,43040228,43209534,43324487,43367378,43435136,43599192,43675144,43774967,44044391,44348428,44357502,44372807,44462207,44526168,44638322,44849642,45085991,45104689,45352247,45693482,45706247,45810495,46088447,46264391,46586207,46606348,46673807,46695985,46813374,47057068,47164658,47458967,47734857,47793002,47948485,47979167,48151991,48180767,48211178,48305620,48595764,48611447,48841077,48864528,49049091,49134537,49254098,50091939,50118767,50456927,50569391,50860628,50962007,51032478,51122282,51129791,51437460,51659207,51825791,51903800,52213367,52489247,52654391,52806550,53230127,53312087,53475791,53800178,53841057,54127727,54201433,54424991,54866624,54972594,55027922,55070207,55096991,55337687,55497791,55657607,55870247,55896791,56035182,56055887,56267567,56706945,56800513,56900044,57219190,57239927,57313477,57449541,57538182,57585829,57709007,57787948,57852100,57864791,57921717,57966744,58227167,58231468,58252991,58391775,58413993,58485047,58639391,58714465,58767791,59117644,59304887,59406791,59485298,59559407,59647510,59762447,59918217,59939687,60063592,60087722,60166991,60487408,60519287,60752950,60769967,60876985,60985864,61044791,61144487,61486040,61566767,61724952,61960465,62158991,62183567,62284560,62526791,62624567,62881898,62990087,63038687,63111527,63135791,63278762,63367860,63979991,64055944,64195487,64219391,64435270,64597317,64838087,64909127,65050991,65212587,65286791,65545247,66337991,66436864,66546287,66684791,66708550,66823007,66937967,67006847,67020242,67029791,67571541,67592384,67731592,67801298,67840437,68031407,68048334,68189327,68301887,68503991,68609097,68663028,68705447,68774378,68861687,68954425,69029745,69061991,69162602,69171795,69172991,69225868,69260392,69422520,69440571,69504791,69743858,69922487,70070130,70097644,70250207,70323818,70457358,70659358,70705991,71051073,71265407,71403148,71479127,71577012,71585687,71649527,71904167,72055922,72062937,72094391,72115487,72115813,72178727,72220847,72409991,72493847,72658040,72821841,72833185,72848807,72903540,72911207,73052382,73242791,73547593,73551791,73631728,73654391,73783248,74042447,74050688,74144087,74157098,74265791,74352558,74537258,74727122,74741472,74750824,75049847,75106418,75189287,75263601,75958991,76041432,76047585,76076327,76198041,76599244,76639391,76716527,76806122,76897009,77004647,77233847,77322324,77499791,77615665,77669927,77763776,77917941,77952047,78083087,78100335,78399592,78494162,78573985,78787607,78955045,79080791,79171991,79190207,79244807,79310344,79613042,79732967,79983791,80050260,80321687,80357087,80427791,80515991,80713654,80762425,80796887,80897644,81040991,81117424,81143590,81197087,81369767,81424257,81433192,81558791,81650858,81740295,81741700,81814991,81832007,81883007,82265470,82347375,82387562,82639367,82672607,82722407,82745310,82835694,83006154,83307024,83799791,83854058,84084156,84094677,84182927,84190137,84219242,84454617,84577127,84655367,84670991,84765938,84789385,84842327,84947882,84997247,85135991,85167244,85228127,85386944,85533167,85546611,85593791,85729727,85984727,86029487,86044391,86071832,86252207,86266991,86340791,86429087,86575607,86575624,86692247,86735929,86793887,86837327,87189648,87399822,87480287,87481192,87484248,87837200,87899927,88051991,88189391,88199541,88246585,88257791,88261664,88380721,88386184,88514950,88744367,88797791,88917527,89062991,89224137,89272847,89467727,89569173,89571865,89599525,89701161,89890127,89915447,89965991,90154391,90229247,90252748,90328607,90635807,90696647,90841847,90889991,91021727,91057487,91176167,91257102,91352687,91550567,91612341,91725502,91825991,92063207,92107562,92163791,92263727,92283602,92359468,92395967,92531397,92764391,92828447,92902504,92923991,93138798,93336818,93442991,93531361,93594791,93634967,93720402,93892991,93981047,94097447,94104424,94135991,94288782,94411607,94505087,94606991,94662167,94746054,94753487,94834991,94888967,94992177,95005192,95049167,95147185,95224127,95412887,95438327,95455247,95606087,95729807,95737991,95979791,96060312,96069337,96090167,96144767,96168047,96206687,96283367,96292778,96526465,96552791,96589391,96618527,96661991,96726647,96830811,96914910,96951287,96968908,96992038,97012991,97019807,97080791,97223833,97309875,97372308,97397577,97508207,97684991,97711237,97744391,97917791,97968407,97996247,98034887,98083991,98088354,98090040,98143127,98190791,98222207,98273927,98289287,98319791,98344991,98374967,98416341,98419779,98438927,98534687,98539391,98562791,98631791,98718564,98768687,98790047,98816850,98926007,98953727,99011807,99036842,99052588,99122567,99133247,99175247,99222791,99291167,99294372,99319391,99346967,99408791,99411647,99434457,99490991,99553991,99568367,99603047,99633791,99635927,99652727,99664991,99705647,99711167,99763991,99780887,99799607,99807791,99819527,99825767,99843287,99844391,99850847,99853967,99859007,99868487,99873791,99885791,99892127,99893447,99898991,99901247,99910991,99914687,99915791,...,343590740822794689655826000508324402717631194499537663452508380554101786277085588110204121681632029925122210355270745318252644197697559741855109701442720603566175695658934815960328574803972474064639269160111464495238962861680301912355013671359669968138927672298371322124763626695599784753974320064444940503683979942219365743668433696042817034167764765333163131394868933872518122640214294221186207304870897328834796932448114721645113522129276234921629202438134950143985647001596222584687803227616606934404810453318697623509126831622064757158682670777821658743093315924476173600666193078127666384031478663694854985174443762512929928790326418864555596797862713434267738663663194973181305330824275517965884223706013924657349677841832265457790874892409531765709392061181199711025712145057632847093343348329780766586966492883397465629586700977754549727033896087325028974969440583093423759929977145217287158837198978515766571934045836056453992895626459920789256220641724066922700736342589073381138684315638832351227607483024562402465595831006571012985523307682754030261649407393566247078410480118674646682396477081421989670769461968966420170956067383282838576400792311247809001301800281464010143632613266119652238959190251456008411293113791712459973076950551562000447815070732679600435014203169210865004417044611877461927404187198964004429621842700352954793421129737032621195192389843594042373955752549939199953948430289962511353854662305471463645735655994256856017835762263615288480979010135689149674541566501338956148897014825993916545051451800077394139868245976111536937228928195716479145290454365026504936985085117990053173582343490893901349761248261609040658624290432067102161084250074684117198385936255440216366182148140247886043047462560856628721159413198759407584356894925874372709104630103218971678987595274906507016160450784128076478491658089012236509462726145931265922463278169804306409522390106396206468437865437948741961548931926284791086721624601262174232324102081804220566691259972841324274406246163538087890898981022728774564148590272029041475941028933501582363300656214041021885041641290787036174957082439000211821164325164015120141066534338776166717164150627681187688127674098734640183099627665053129382930043467316780515528222789006592235150699990239965604615502666655355234181060969495354894124437991177413838816719699313847305364397569981883787637722284129108094504216262684283104697044581096324017436979503333426516101896313733924860731092672918914016981770400834605537107507410812802450296170799533258337816618967696430312171549132000005865003130014235871214419928209117649948893589891641798962670339674267504623517843806220855458722427385727962920048321971521553171262746417874324155614492052804667017909357554111744365061750454952872567891876697970329893123026186800079503927137514828731790803778253891374842884140040531155464586374603870493702039836816402798806459173304493967939359726593880942506572450435317339235290880781171812984823432625483526385649066174748900021767216412528090766799478820262097282560693245587881227020930737353284863395358738710796306739333896473094057047013786567147358566954277314549090603536152353032298220559926615261896004760101281}
19993 289561785725016125552607314918689029859733678183199120666275962691606968: {19993,39982,659307,978971,1018623,1398530,1678236,1736607,1817543,1997900,2397480,2453727,2557312,2596490,2697165,2876976,3075842,3115788,3169983,3214043,3236598,4172267,4242747,4394060,4411823,4591490,4930367,5166791,5272872,5509788,5931981,6026367,6077735,6427442,7293282,7381130,7466162,7829416,8039447,8159583,8229851,8343698,8808093,8822762,8857356,8868927,9182060,9342011,9647135,10175543,10485825,10620316,11018472,11144783,11184880,11576562,11697663,11756930,12395781,12483125,12582990,12611735,13118546,13345730,13421856,13458603,13494988,13504631,13605218,13729703,14015711,14108316,14161467,14536490,14863467,14930828,14979750,15041546,15099588,15134082,15171880,15564603,15795767,15978400,16014876,16614687,17068365,17313663,17344223,17435426,17443788,17794811,17975700,18206256,18740780,18860402,19004776,19174080,19292330,19707803,19793522,20452352,20482038,20864735,21238504,21252842,21380373,21381671,21570840,22488936,22624055,22837672,23008896,23013887,23079167,23150796,23168411,23234882,23893317,23993543,24267195,24600747,25037682,25080746,25289787,25300053,25452825,25454924,25692381,25885008,26321727,26552027,26716535,26731298,26740343,26987272,27148866,27149680,27269111,28276460,28430162,28444425,29120634,29184623,29351762,30210335,30339947,30340720,30360681,30430047,30543390,30555746,30850043,31200236,31368107,31397051,31681583,31843346,32059842,32217143,32472543,32579616,32777303,32812203,33097730,33151647,33931752,34133310,34168683,34276490,34631464,34845627,35340383,35535467,35630385,35852687,35859423,35966348,36141947,36232845,36252402,36408864,36410402,36652068,36813551,37127111,37159055,37582322,38005744,38149293,38173221,38200490,38215751,38648368,38946578,38960397,39423791,39717276,40116866,40389611,40564767,40959972,41131788,41299562,42109247,42417125,42641567,42756462,42816345,43014023,43479414,43780091,44071490,44590866,44628335,44644946,44852930,45008807,45415825,45670768,45840588,46023146,46024490,46076927,46381425,46552287,47064923,47484935,47543403,48008296,48468827,48625055,49304831,49389227,49389362,49473520,49677986,49747391,49757807,49791527,50463467,50634098,50720901,50900550,51379614,51709724,52014860,52142907,52168847,52555643,52604135,52885788,52896911,52926482,53038730,53171135,53191916,53362631,53554002,53800285,53823516,54009333,54293920,54426783,54498990,54593930,54901823,55229388,55435535,55469282,55657710,55727103,55885871,56048951,56132402,56981922,57612712,57961403,58026482,58132256,58257935,58291103,58350066,58640187,58798727,58821335,59143336,59265143,59324807,59368224,59806802,60382025,60416042,60602843,60673778,60744705,61080660,61322987,61842287,61856427,62184791,62417832,62729906,63124962,63575785,63646476,63805362,64296825,64427762,64560342,64794352,64814301,64879750,65051067,65085887,65121436,65152704,65398788,65406971,65422031,65512716,66522642,66536253,66789252,66905591,66957483,67083287,67274463,67412423,68043304,68068127,68540223,68583280,68599643,68831387,69396551,69434807,69909522,70220061,70585602,70673642,70746987,70905323,70977746,71125055,71254043,71544743,71689503,71788076,71960447,72234935,72276146,72276626,72315125,72316767,72458430,72465263,72789335,72792962,72893646,73296792,73766171,73881147,73897055,74025311,74713576,74883623,74987783,75079490,75312853,75609260,75659783,75753671,76008047,76232330,76290942,76305962,76546043,76548717,76599388,76683423,76717576,76857550,76865423,77156190,77228956,77288992,77337911,77855700,77885324,77976338,78534251,79209825,79229867,79890956,80069930,80455727,80700267,81289691,81724907,81911138,82299936,82341371,82458891,82541883,82806863,82963583,83046080,83129543,83158007,83684987,84052773,84210026,84490480,84664490,85350066,85541327,85828785,86017991,86129756,86307273,86532335,86575490,86681922,86761127,86778150,86950116,87347202,87551378,87622055,87790103,88371143,88380722,88676466,88678367,89227947,89253935,89471265,90095388,90131583,90453916,90731112,90822550,91129425,91297643,91478796,91505351,91516247,91550704,92039660,92229060,92302082,92563360,92587428,92762591,92994767,93426840,93438530,93599327,93943144,94322847,94373147,94734764,94918143,95051790,95436016,95671607,95749055,95862326,95890427,96059963,96083916,96232658,96278111,96652905,96970811,97095788,97101023,97204720,97403176,97573463,97755842,97999490,98009051,98377664,98646482,98768498,99096962,99136744,99137930,99484778,99505538,99655296,...,458120987763726252874434667344432536956841592666050217936677840738802381702780784146938828908842706566829613807027660424336858930263412989140146268590294138088234260878579754613771433071963298752852358880148619326985283815573735883140018228479559957518570229731161762833018168927466379671965760085926587338245306589625820991557911594723756045557019687110884175193158578496690830186952392294914943073161196438446395909930819628860151362839034979895505603250846600191980862668794963446250404303488809245873080604424930164678835775496086342878243561037095544990791087899301564800888257437503555178708638218259806646899258350017239905053768558486074129063816951245690318218217593297575073774432367357287845631608018566209799570455776353943721166523212709020945856081574932948034282860076843796124457797773041022115955323844529954172782267970339399636045194783100038633292587444124565013239969526956382878449598638021022095912061114741938657194168613227719008294188965422563600981790118764508184912420851776468303476644032749869954127774675428017314031076910338707015532543191421662771213973491566195576528636108562652894359282625288560227941423177710451435201056414997078668402400375285346858176817688159536318612253668608011215057485055616613297435934068749333930420094310239467246685604225614486672556059482503282569872249598618672572829123600470606391228172982710161593589853124792056498607670066585599938597907053283348471806216407295284860980874659009141357114349684820384641305346847585532899388755335118608198529353101325222060068602400103192186490994634815382582971904260955305527053939153368673249313446823986737564776457987858535133014997682145387544832387242756136214779000099578822931181248340586955154909530853663848057396616747808838294879217598345876779142526567832496945472840137625295571983460366542009354880601045504101971322210785349648679283634861241687896617704226405741879363186808528275291250487250598322615398575901713054782295499468349565643098802775738960755588346630455099032541661551384117187865308030305032752198120362705388634588038578002109817734208285388029180055521721049381566609443252000282428219100218686826854755379118368222289552200836908250250836898798312853577466170220070839177240057956422374020704297052008789646867599986986620806154003555540473645574747959327139858832583988236551785088959599085129740485863426642511716850296378838810792672288350245710806262726108128432023249306004444568688135861751645233147641456897225218689309027201112807382810009881083736600394894399377677783755491956928573749562065509333341153337506685647828285893237612156866598524786522189065283560452899023339498023791741627807278296569847637283893397762628695404228350328557165765540819322737072889357212476738815659153415667273270496757189168930627106524164034915733439338569516686438309054405037671855166457178853387374873952781832805160658269386449088537065075278897739325290585812968791841256675429933913756452313721174374895750646431243500644701847532088232998533362356288550037454355732638427016129710080924327450508302694574316471046484527144984947728408985778528630792076062685048756196478089272369752732120804714869804043064294079902153682528006346801708}
19994 290683965313153907154679513000027456947478029573142513728584654088465020: {59973,519454,618853,758974,879076,1157854,1237582,1335109,1358164,1715614,2048773,2097795,2237648,2315476,2497375,2517354,2523109,2908174,2996293,2996850,3146254,3196640,3271636,3586153,3596220,3821593,3835968,3894735,4017982,4097134,4154384,4226644,4315464,4613763,4673682,4760473,4854897,5203582,5461609,5492575,5519134,5656996,5913214,5991982,6043909,6160153,6591090,6850739,6857374,6887235,7030496,7093054,7346384,7563982,7780009,7877614,7909308,8035156,8264682,9042853,9051454,9207694,9441934,9499909,9519982,9641163,9724376,9786770,10183333,10637509,10879444,10939923,11071695,11090533,11155294,11199243,11203609,11477575,11543614,11744124,11767909,11809808,11825236,11880553,12241582,12515547,12779113,13015582,13234143,13275395,13286034,13773090,13981100,14007109,14562409,14691296,15020494,15115909,15251134,15435416,15557413,15596884,15930474,16018894,16327273,16478782,16527708,16629179,16777320,16868735,16938094,17167534,17311909,17364843,17549614,17635395,17895808,17944804,18007582,18583691,18663535,18811088,18874485,18881956,18964850,19149982,19371433,19605934,19677819,19817956,19833694,19973000,19982963,20018595,20132784,20178776,20242482,20288782,20364574,20407827,20752804,21162474,21353168,21804735,21877054,22103374,22152916,22178782,22396242,22469625,22562319,22570393,22649382,22701123,22757820,23084884,23202409,23258384,23307982,23425975,23613863,23755970,23758654,23967600,23983774,24022314,24275008,24354373,25480894,25565440,26003374,26153139,26165682,26376094,26548130,26568091,26673982,26940073,26963550,27247333,27309384,27714574,28111170,28233694,28290603,28469893,28507164,28547090,28604014,28761120,28875109,28938495,29269582,29380009,29690283,29712574,29883109,29985248,30302531,30678528,30723057,30867728,30983593,31038094,31111582,31772254,31778473,31818655,31857756,31879263,32356260,32371609,32470213,32651134,32800996,33255026,33383576,33719716,33733404,33734090,33745513,33817322,33843109,33937100,33940633,34256508,34513344,34726194,34765582,34852323,34911913,35056174,35095636,35201893,35345575,35853982,36198488,36259609,37308613,37371694,37556523,37621119,37659982,37782553,37925900,38066053,38182386,38254693,38451454,38666974,38827512,39000295,39169294,39193573,39961922,40096947,40403353,40480908,40495909,40573396,40723299,40724520,40865413,41313214,41784133,42007259,42379774,42414690,42645243,42746456,43289330,43296724,43439488,43442734,43680951,43749604,43779973,44027643,44202196,44497093,44957935,45120793,45242336,45475609,45511080,45558244,45815085,45833619,46357609,46460836,46800354,46820014,47507180,47765019,47812564,47867854,48013573,48089763,48186373,48285982,48310460,48336536,48545152,48633982,48869424,48960409,49328782,49387909,49646595,49813609,50322073,50411123,50865724,50897628,50995993,51199965,51414735,51750419,51915109,51947196,52023214,52366894,52956368,53236453,53395534,53805982,53874334,53949522,54086356,54378603,54458473,54488782,54613296,54615603,54842384,54978102,55101934,55103593,55442014,55518067,55664293,55849582,55903513,56300773,56373483,56527582,56695058,56853913,57008616,57088460,57136414,57271534,57300735,57474094,57949609,57972552,58148254,58260073,58337509,58419867,58800613,59184553,59290654,59414053,59454488,59537891,59558782,59575914,60010370,60175299,60627109,60962254,61120784,61439958,61697682,61841900,61949343,62069716,62191273,62851909,62954974,63143653,63391204,63417871,63549982,64011973,64056239,64134693,64143694,64227433,64637155,64656409,65018575,65082793,65219121,65374379,65523982,65851582,66067609,66107235,66244174,66489895,66886299,66967419,67038313,67127879,67279395,67483582,67627868,67791109,67808782,67867400,67873774,68506152,68760882,69034719,69036735,69523876,69535813,69751582,69816094,70331614,70395982,70455109,70514384,70844773,71038633,71295454,71405336,71488453,71764688,72012444,72015890,72063934,72124933,72319582,72569044,72665320,72941593,73639184,73657534,73929170,73975054,73991173,74084043,74165374,74210280,74295913,74302804,74516979,74545582,74608894,74798734,75079813,75493582,75951147,75975896,76027909,76060654,76350825,76437982,76611109,76814734,76900009,77069421,77187109,77564586,77699353,77800088,78022290,78186916,78378334,79091653,79146409,79157632,79201093,79328682,79389723,79558095,79622014,79787874,80106866,80226409,80279653,80331003,80735274,80992940,81017509,81069673,81401795,81440880,81484393,81660094,81721582,81748485,81843493,81890895,82200251,82396894,82475236,82501033,82750693,82844082,83203923,83223776,83342533,83486565,83506514,83924494,84166616,84198603,84228814,84542233,84683173,84775582,84861968,84916633,85054130,85073816,85139374,85227779,85240453,85472883,85683982,85729100,86056933,86080456,86279593,86419068,86648974,86719513,86734756,86744651,86763109,86870272,86980009,87039723,87195109,87198384,87350288,87525099,87549934,87577753,88078873,88088782,88243609,88696856,88715004,88745614,88924414,89052336,89089573,89276644,89699284,89710203,89735095,89865733,90171982,90209378,90624063,90704494,90722713,90903973,91010667,91119109,91386964,91412494,91620990,92176894,92189353,92322409,92528782,92650009,93159193,93172414,93212696,93252613,93283609,93347614,93391970,93589609,93626748,93739909,93888409,94005913,94064233,94094859,94114136,94208773,94294633,94329316,94511575,94687443,94741609,94850473,94904473,94917934,95469714,95586004,95708043,95749235,95753893,95896970,95958334,96160873,96303982,96361534,96422356,96536195,96569113,96591109,96611240,96641643,96840513,96933253,97036393,97117609,97191528,97222894,97315609,97319625,97356655,97525093,97599109,97682154,97729056,97779109,98098182,98101273,98197609,98269074,98275909,98352409,98508196,98557033,98654053,98786533,98947993,98959909,99119173,99140773,99183109,99193513,99234409,99368473,99430213,99504409,99512293,99580009,99654853,99783963,99827113,99863695,99863833,99907609,99927013,99930793,...,687181481645589379311652001016648805435262388999075326905016761108203572554171176220408243363264059850244420710541490636505288395395119483710219402885441207132351391317869631920657149607944948129278538320222928990477925723360603824710027342719339936277855344596742644249527253391199569507948640128889881007367959884438731487336867392085634068335529530666326262789737867745036245280428588442372414609741794657669593864896229443290227044258552469843258404876269900287971294003192445169375606455233213868809620906637395247018253663244129514317365341555643317486186631848952347201332386156255332768062957327389709970348887525025859857580652837729111193595725426868535477327326389946362610661648551035931768447412027849314699355683664530915581749784819063531418784122362399422051424290115265694186686696659561533173932985766794931259173401955509099454067792174650057949938881166186847519859954290434574317674397957031533143868091672112907985791252919841578512441283448133845401472685178146762277368631277664702455214966049124804931191662013142025971046615365508060523298814787132494156820960237349293364792954162843979341538923937932840341912134766565677152801584622495618002603600562928020287265226532239304477918380502912016822586227583424919946153901103124000895630141465359200870028406338421730008834089223754923854808374397928008859243685400705909586842259474065242390384779687188084747911505099878399907896860579925022707709324610942927291471311988513712035671524527230576961958020271378299349083133002677912297794029651987833090102903600154788279736491952223073874457856391432958290580908730053009873970170235980106347164686981787802699522496523218081317248580864134204322168500149368234396771872510880432732364296280495772086094925121713257442318826397518815168713789851748745418209260206437943357975190549813014032320901568256152956983316178024473018925452291862531844926556339608612819044780212792412936875730875897483923097863852569582173443249202524348464648204163608441133382519945682648548812492327076175781797962045457549128297180544058082951882057867003164726601312428082043770083282581574072349914164878000423642328650328030240282133068677552333434328301255362375376255348197469280366199255330106258765860086934633561031056445578013184470301399980479931209231005333310710468362121938990709788248875982354827677633439398627694610728795139963767575275444568258216189008432525368566209394089162192648034873959006666853032203792627467849721462185345837828033963540801669211074215014821625604900592341599066516675633237935392860624343098264000011730006260028471742428839856418235299897787179783283597925340679348535009247035687612441710917444854771455925840096643943043106342525492835748648311228984105609334035818715108223488730123500909905745135783753395940659786246052373600159007854275029657463581607556507782749685768280081062310929172749207740987404079673632805597612918346608987935878719453187761885013144900870634678470581761562343625969646865250967052771298132349497800043534432825056181533598957640524194565121386491175762454041861474706569726790717477421592613478667792946188114094027573134294717133908554629098181207072304706064596441119853230523792009520202562}
19995 291810463256731158859387009909952064026211556819864540721133933899808605: {39986,79964,779181,1098845,1138461,1318614,1697705,1736781,1856373,1957942,2037246,2416733,2573421,2797060,2894345,3356472,3473214,3635086,3776031,3995800,4089545,4362261,4495275,4719381,4794960,4907454,4930861,5050133,5114624,5192980,5283305,5394330,5753952,5768729,6026973,6145701,6151684,6231576,6339966,6428086,6473196,7010523,7071245,7805373,8278701,8344534,8485494,8508829,8788120,8823646,8869821,8987973,9182980,9834857,9860734,9886635,10043945,10286061,10307429,10333582,10545744,10553021,10639581,11019576,11345973,11816421,11863962,12052734,12155470,12397023,12854884,13505989,13577181,13599305,13811541,13896089,14162901,14279973,14586564,14680155,14762260,14781545,14932324,15552053,15658832,16078894,16319166,16459702,16687396,16732941,16767017,17315421,17476375,17616186,17645524,17656429,17714712,17737854,18362373,18364120,18684022,19294270,19496105,19523373,19929051,19978757,20351086,20659635,20971650,21240632,22036944,22289566,22369760,22431005,22530741,22856269,22876701,23153124,23395326,23513860,23602445,23895711,24028341,24281261,24718173,24772445,24791562,24966250,25165980,25223470,25407141,25751301,25941005,26237092,26324421,26691460,26843712,26917206,26989976,27009262,27011373,27021941,27149597,27210436,27459406,27691145,28031422,28216632,28322934,28447275,28608173,28724973,28856105,29072980,29210629,29408901,29726934,29750541,29861656,29959500,30083092,30092057,30199176,30268164,30343760,30363723,30433173,30546861,30606281,31129206,31591534,31673677,31743711,31956800,32029752,32815581,33155061,33229374,33268173,33473753,33594363,33974073,34136730,34627326,34688446,34870852,34887576,34961973,35589622,35633955,35637981,35856301,35951400,35975661,36033471,36412512,37403149,37481560,37720804,37968101,38009552,38221341,38348160,38584660,39005061,39248523,39415606,39564141,39587044,39822195,40010973,40445325,40904704,40964076,41001245,41144557,41571861,41585093,41729470,41996461,42149645,42166755,42294469,42350541,42421375,42477008,42505684,42760746,42763342,42820635,42906021,43141680,43869545,43904373,44568861,44977872,45013333,45248110,45675344,46017792,46027774,46158334,46209689,46301592,46336822,46469764,46557141,46591753,46667373,47407375,47658381,47786634,47987086,48534390,48976701,49201494,49309789,49882539,50075364,50161492,50579574,50600106,50601135,50621813,50716745,50725983,50905650,50909848,51384762,51770016,52022677,52089291,52148373,52174093,52584261,52643454,53104054,53433070,53462596,53480686,53780973,53974544,54120905,54297732,54299360,54538222,54687005,55152197,55252745,55768229,55868201,56057541,56489973,56552920,56860324,56888850,56947805,57273579,57281341,57677181,58000461,58076045,58241268,58369246,58703524,58753941,58804681,59120077,59383975,59740069,59765705,59780933,59942883,60388075,60420670,60679894,60681440,60721362,60860094,61086780,61111492,61360861,61700086,61969821,62400472,62479669,62736214,62794102,63363166,63416173,63569661,63582155,63622035,63686692,64119684,64434286,64933995,64945086,65058281,65159232,65164101,65554606,65624406,66195460,66303294,66478909,67607945,67863504,68075077,68266620,68337366,68552980,69262928,69691254,70200531,70230021,70680766,71070934,71260770,71281129,71360575,71705374,71718846,71801781,71932696,72283894,72428973,72465690,72472621,72504804,72817728,72820804,72950973,73304136,73627102,73645789,73993173,74254222,74318110,74439589,74776837,75164644,75320399,76011488,76219109,76298586,76346442,76400980,76431502,77296736,77302375,77587145,77609749,77893156,77920794,78034821,78550341,78847582,79239005,79434552,80093301,80199557,80233732,80708973,80779222,80811501,80924283,81129534,81196429,81487781,81561109,81733173,81919944,82211273,82263576,82349869,82467153,82599124,82652901,83163021,83693461,83774373,84175109,84218494,84534835,84791373,84834250,85042587,85283134,85512924,85632690,85704621,85907301,86028046,86211141,86380613,86904845,86958828,87222381,87560182,88142980,88441033,88935981,89006099,89156029,89181732,89256670,89289892,89338173,89363871,89705860,90015555,90017614,90129257,90711305,90831650,91341536,91443381,91681176,91923353,92046292,92048980,92153854,92159937,92546523,92700773,92744653,92762850,92878505,93004141,93104574,93646601,94092569,94129846,94432461,94969870,95084041,95086806,95223293,95324973,96016592,96215541,96583981,96937654,97220141,97250110,97733645,98285973,98609662,98777373,98778454,98778724,98947040,99301481,99355972,99366261,99494782,99515614,99575077,99583054,99780389,...,1030772222468384068967478001524973208152893583498612990357525141662305358831256764330612365044896089775366631065812235954757932593092679225565329104328161810698527086976804447880985724411917422193917807480334393485716888585040905737065041014079009904416783016895113966374290880086799354261922960193334821511051939826658097231005301088128451102503294295999489394184606801617554367920642882663558621914612691986504390797344344164935340566387828704764887607314404850431956941004788667754063409682849820803214431359956092870527380494866194271476048012333464976229279947773428520801998579234382999152094435991084564955523331287538789786370979256593666790393588140302803215990989584919543915992472826553897652671118041773972049033525496796373372624677228595297128176183543599133077136435172898541280030044989342299760899478650192396888760102933263649181101688261975086924908321749280271279789931435651861476511596935547299715802137508169361978686879379762367768661925172200768102209027767220143416052946916497053682822449073687207396787493019713038956569923048262090784948222180698741235231440356023940047189431244265969012308385906899260512868202149848515729202376933743427003905400844392030430897839798358956716877570754368025233879341375137379919230851654686001343445212198038801305042609507632595013251133835632385782212561596892013288865528101058864380263389211097863585577169530782127121867257649817599861845290869887534061563986916414390937206967982770568053507286790845865442937030407067449023624699504016868446691044477981749635154355400232182419604737928334610811686784587149437435871363095079514810955255353970159520747030472681704049283744784827121975872871296201306483252750224052351595157808766320649098546444420743658129142387682569886163478239596278222753070684777623118127313890309656915036962785824719521048481352352384229435474974267036709528388178437793797767389834509412919228567170319188619405313596313846225884646795778854373260164873803786522696972306245412661700073779918523972823218738490614263672696943068186323692445770816087124427823086800504747089901968642123065655124923872361108524871247317000635463492975492045360423199603016328500151492451883043563064383022296203920549298882995159388148790130401950341546584668367019776705452099970719896813846507999966065702543182908486064682373313973532241516450159097941541916093192709945651362913166852387324283512648788052849314091133743288972052310938510000279548305688941201774582193278018756742050945311202503816611322522232438407350888512398599775013449856903089290936514647396000017595009390042707613643259784627352949846680769674925396888011019022802513870553531418662566376167282157183888760144965914564659513788239253622972466843476158414001053728072662335233095185251364858617703675630093910989679369078560400238511781412544486195372411334761674124528652420121593466393759123811611481106119510449208396419377519913481903818079179781642827519717351305952017705872642343515438954470297876450579156947198524246700065301649237584272300398436460786291847682079736763643681062792212059854590186076216132388920218001689419282171141041359701442075700862831943647271810608457059096894661679779845785688014280303843}
19996 292941296056597907845263195702640859948969236525051812245377567080879007: {59979,99955,119946,339643,459379,937603,1038908,1176283,1237706,1517948,1652779,1758152,1977921,2128123,2315708,2475164,2670218,2716328,2936913,3055869,3431228,3496325,4097546,4195590,4475296,4604779,4630952,4994750,5034708,5046218,5072923,5209821,5306563,5452629,5816348,5992586,5993700,6292508,6393280,6491225,6543272,7172306,7192440,7361181,7643186,7671936,7689605,7789470,8035964,8091495,8194268,8202763,8308768,8453288,8630928,8661979,9227526,9347364,9509949,9520946,9642129,9709794,10407164,10923218,10940779,10985150,11038268,11053963,11313992,11478725,11505979,11826428,11956843,11983964,12087818,12320306,12516801,12728241,13078963,13182180,13235469,13701478,13714748,13774470,14060992,14186108,14692768,14791101,15127964,15500373,15560018,15755228,15818616,16068605,16070312,16072723,16402123,16529364,17795943,18079101,18085706,18102908,18233205,18415388,18452825,18585553,18665405,18689779,18883868,18999818,19039964,19282326,19448752,19573540,19875403,20366666,20732203,20859245,21275018,21758888,21879846,22056905,22143390,22181066,22310588,22398486,22407218,22431979,22955150,22959379,23087228,23488248,23535818,23616229,23619616,23650472,23761106,23904163,24008779,24118341,24478749,24483164,24689553,25031094,25558226,26031164,26128949,26189083,26424279,26468286,26550790,26570753,26572068,26606781,27546180,27624979,27962200,28014218,28026033,28641979,28941405,29124818,29147779,29382592,29392325,30040988,30231818,30502268,30526629,30554443,30870832,31114826,31193768,31252483,31398653,31457475,31860948,32037788,32654546,32796365,32957564,33055416,33258358,33364325,33434349,33521203,33554640,33737470,33876188,34009363,34013045,34335068,34495723,34623818,34729686,35092989,35099228,35173603,35270790,35791616,35889608,36015164,36341225,36614323,37167382,37187343,37327070,37376083,37449375,37603865,37622176,37748970,37763912,37835205,37929700,38299964,38742866,39211868,39260323,39353779,39355638,39635912,39667388,39946000,39965926,40037190,40191643,40265568,40357552,40375809,40484964,40513893,40577564,40729148,40815654,41189109,41299723,41505608,42047133,42215203,42324948,42484401,42488443,42579379,42706336,43394563,43588565,43609470,43754108,44206748,44305832,44357564,44546117,44590401,44792484,44918443,44939250,45124638,45140786,45298764,45362683,45402246,45515640,46157779,46169768,46404818,46516768,46615964,46693809,46851950,47151005,47227726,47387301,47511940,47517308,47935200,47967548,47990323,48044628,48230825,48550016,48680083,48708746,49279843,49483805,49535803,49620979,49844061,50468779,50553163,50961788,51130880,51205095,51940989,52006748,52032669,52306278,52331364,52752188,53096260,53132105,53136182,53297443,53347964,53384433,53869483,53880146,53927100,54494666,54600413,54618768,55404379,55429148,55724203,56222340,56281123,56467388,56581206,56939786,57014328,57070603,57094180,57208028,57306043,57522240,57750218,57876990,58087205,58539164,58760018,59123409,59380566,59425148,59766218,59970496,60004963,60605062,61134643,61284043,61357056,61446114,61581979,61735456,61967186,62076188,62223164,62594205,62701865,62941109,63054379,63127243,63544508,63556946,63637310,63715512,63758526,63851923,64141119,64145013,64712520,64743218,64854379,64940426,65302268,65601992,65612261,66510052,66678643,66767152,66828245,67023883,67439432,67466808,67468180,67491026,67634644,67686218,67872165,67874200,67881266,68048803,68513016,69026688,69041661,69237501,69452388,69505233,69531164,69704646,69823826,69984379,70112348,70191272,70403786,70637779,70691150,70878797,71075405,71219683,71679951,71707964,71980629,72239779,72396976,72519218,72801585,73379405,73802241,73858123,74163763,74406979,74617226,74743388,74948393,75113046,75242238,75319964,75368323,75565106,75851800,75869361,75900159,75959803,76132106,76358475,76364772,76389365,76485979,76509386,76902908,77077143,77292883,77333948,77634379,77655024,77691043,77860603,78000590,78338588,78387146,78965181,79520563,79608365,79656081,79790923,79923844,80149605,80193894,80221029,80379379,80806706,80961816,80991818,81146792,81219763,81426979,81446598,81449040,81730826,81807333,82626428,82695979,82744325,83484523,83568266,83871883,84014518,84207043,84679723,84759548,84829380,84866779,85290486,85333275,85492912,85512403,85691225,86188483,86277403,86410243,86578660,86593448,86878976,86885468,87361902,87499208,87534379,87553869,87559946,88055286,88404392,88406803,88811083,88994186,89257949,89325883,89598043,89915870,89942779,90169363,90241586,90484672,90492017,90631005,90651403,90724483,90951218,91019841,91022160,91026005,91049779,91082043,91116488,91227979,91290141,91439443,91578979,91630170,91667238,92058283,92424979,92550129,92588779,92715218,92718523,92921672,92942803,93085853,93503323,93600708,93640028,93715003,93804643,93834379,93955805,94011283,94104321,94127779,94191153,94442203,94554379,94802563,94937923,95014360,95044749,95097979,95358979,95461363,95486779,95501225,95530038,95625128,95735708,96003883,96027146,96179526,96238963,96308083,96330979,96372746,96571964,96620920,96651429,96673072,96795163,97066603,97090304,97267964,97286779,97366445,97417629,97554403,97738848,97754779,97920818,97929379,97997203,98080363,98331909,98409979,98436609,98483779,98569963,98612083,98657564,98775818,98901163,99078283,99218683,99293190,99410923,99454941,99627218,99645283,99678043,99709003,99743779,99749323,99894979,99898003,99921979,99932779,99940123,99955243,...,1374362963291178758623304002033297610870524777998150653810033522216407145108342352440816486726528119700488841421082981273010576790790238967420438805770882414264702782635739263841314299215889896258557076640445857980955851446721207649420054685438679872555710689193485288499054506782399139015897280257779762014735919768877462974673734784171268136671059061332652525579475735490072490560857176884744829219483589315339187729792458886580454088517104939686516809752539800575942588006384890338751212910466427737619241813274790494036507326488259028634730683111286634972373263697904694402664772312510665536125914654779419940697775050051719715161305675458222387191450853737070954654652779892725221323297102071863536894824055698629398711367329061831163499569638127062837568244724798844102848580230531388373373393319123066347865971533589862518346803911018198908135584349300115899877762332373695039719908580869148635348795914063066287736183344225815971582505839683157024882566896267690802945370356293524554737262555329404910429932098249609862383324026284051942093230731016121046597629574264988313641920474698586729585908325687958683077847875865680683824269533131354305603169244991236005207201125856040574530453064478608955836761005824033645172455166849839892307802206248001791260282930718401740056812676843460017668178447509847709616748795856017718487370801411819173684518948130484780769559374376169495823010199756799815793721159850045415418649221885854582942623977027424071343049054461153923916040542756598698166266005355824595588059303975666180205807200309576559472983904446147748915712782865916581161817460106019747940340471960212694329373963575605399044993046436162634497161728268408644337000298736468793543745021760865464728592560991544172189850243426514884637652795037630337427579703497490836418520412875886715950381099626028064641803136512305913966632356048946037850904583725063689853112679217225638089560425584825873751461751794967846195727705139164346886498405048696929296408327216882266765039891365297097624984654152351563595924090915098256594361088116165903764115734006329453202624856164087540166565163148144699828329756000847284657300656060480564266137355104666868656602510724750752510696394938560732398510660212517531720173869267122062112891156026368940602799960959862418462010666621420936724243877981419576497751964709655355266878797255389221457590279927535150550889136516432378016865050737132418788178324385296069747918013333706064407585254935699442924370691675656067927081603338422148430029643251209801184683198133033351266475870785721248686196528000023460012520056943484857679712836470599795574359566567195850681358697070018494071375224883421834889709542911851680193287886086212685050985671497296622457968211218668071637430216446977460247001819811490271567506791881319572492104747200318015708550059314927163215113015565499371536560162124621858345498415481974808159347265611195225836693217975871757438906375523770026289801741269356941163523124687251939293730501934105542596264698995600087068865650112363067197915281048389130242772982351524908083722949413139453581434954843185226957335585892376228188055146268589434267817109258196362414144609412129192882239706461047584019040405124}
19997 294076480276211238777269453221795021106922790811244034826823665774256665: {19997,79972,159928,179919,1298635,1538383,1558362,1856559,1897435,2197690,2276922,2376787,2637228,2856139,2894635,3093955,3395410,3473562,3712746,3915884,4005327,4052083,4074492,4289035,4833466,5050639,5146842,5594120,5725363,5769307,5788690,5968339,6146319,6293385,6447403,6712944,6946428,7270172,7270435,7396627,7492125,7552062,7569327,7865635,7991600,8119243,8179090,8724522,8988879,8990550,9438762,9589920,9814908,9861722,9899743,10044955,10100266,10229248,10242835,10385960,10513123,10566610,10758459,10788660,10991899,11464779,11507904,11537458,11684205,12053946,12181507,12291402,12303368,12463152,12679932,12856172,12932623,12946392,13008955,13797835,13841289,14021046,14061523,14142490,14281419,14564691,14573947,14680303,14783035,14979955,15530923,15610746,15990139,16384827,16477725,16557402,16689068,16966387,16970988,17017658,17143435,17576240,17647292,17732635,17739642,17923363,17954227,17975946,18131727,18365960,18379699,18480459,18909955,19039027,19669714,19694035,19721468,19773270,20087890,20552217,20572122,20614858,20656003,20661705,20667164,20694163,21091488,21106042,21221563,21279162,21541087,22039152,22329199,22628635,22680907,22691946,23019235,23340027,23604835,23632842,23693203,23727924,23799955,24105468,24310940,24466925,24794046,25709768,27011978,27128559,27154362,27198610,27294547,27623082,27792178,27888235,27937939,28325802,28499727,28559946,28859035,28923489,29021983,29173128,29360310,29524520,29563090,29864648,30095083,30217123,30549999,30603955,31104106,31317664,31403407,31912527,32157788,32538955,32638332,32717059,32819769,32919404,33043423,33215085,33271599,33374792,33465882,33534034,33597729,33610827,33632299,33809659,34432725,34628707,34630842,34681423,34952750,35106619,35232372,35291048,35303727,35312858,35429424,35475708,35641659,36317407,36407503,36724746,36728240,37368044,37546641,37551235,37704139,37971919,38127835,38164507,38337339,38588540,38767603,38992210,39046746,39702429,39826185,39858102,39957514,40047235,40398547,40702172,41196955,41319270,41943300,42020539,42021327,42345235,42481264,42862627,42918835,43687227,43874035,44073888,44579132,44739520,44862010,45018955,45061482,45347727,45565699,45712538,45753402,46214347,46306248,46672239,46790652,46884283,47027720,47204890,47412125,47791422,47874955,48056682,48478639,48562522,48892687,48981819,49014835,49146019,49338223,49436346,49544890,49583124,49584235,49887537,49932500,50331960,50446940,50606205,50626939,50721955,50814282,50911435,51502602,51618739,51646123,51882010,51935727,52094529,52248403,52474184,52648842,52906185,53382920,53687424,53834412,53979952,54018524,54022746,54043882,54299194,54420872,54635083,54692635,54918812,55157743,55258435,55382290,55446955,55751073,55873819,55990605,56062844,56249107,56433264,56623455,56645868,56894550,57021763,57216346,57401743,57449946,57712210,58114299,58145960,58190443,58269955,58342603,58421258,58817802,59009503,59033457,59389925,59396635,59453868,59501082,59723312,59786959,59825779,59919000,59948889,59959435,60053323,60055785,60166184,60184114,60254443,60398352,60536328,60687520,60727446,60866346,61093722,61212562,61223481,61417363,61628683,62258412,63183068,63347354,63487422,63702235,63913600,64059504,65008435,65414205,65631162,65907907,65940235,66310122,66370325,66458748,66536346,66684955,66947506,67188726,67408875,67686957,67711179,67948146,68103369,68273460,69254652,69286435,69376892,69545059,69607227,69741704,69775152,69923946,70277925,70584235,70841589,71003443,71179244,71267910,71275962,71367725,71510035,71712602,71902800,71951322,72066942,72494683,72825024,73063119,73074403,73173955,74281435,74806298,74963120,75441608,75769267,75936202,76019104,76226827,76442682,76561807,76696320,76890643,77169320,77353843,77501167,77595235,77778955,78010122,78459417,78497046,78598027,78788179,78831212,79128282,79174088,79430635,79644390,79704273,79726927,80021946,80820219,80870683,80890650,81306463,81627835,81741999,81809408,81928152,82002490,82289114,82398259,82587439,83078563,83137565,83143722,83170186,83222863,83458940,83671987,83839219,83855563,83992922,84299290,84333510,84335225,84543305,84588938,84701082,84842750,84871809,84954016,85011368,85186063,85409679,85521492,85526684,85637899,85641270,85812042,86221579,86283360,86625327,86815485,86913955,87368539,87640435,87739090,87808746,88076923,88140027,88154707,89015017,89070849,89137722,89609587,89634799,89634955,89649327,89955744,90026666,90496220,90509827,90799363,90907593,91350688,91932619,92035584,92055548,92169171,92316668,92419378,92603184,92673644,92939528,92950779,93114282,93130939,93183506,93334746,93429235,94078063,94102123,94149955,94651123,94762267,94814750,95233039,95316762,95335419,95455965,95573268,95637789,95896243,95909839,95974172,96128635,96407419,96667435,97068780,97114827,97410639,97923235,97953402,98060947,98402988,98619578,99765078,99790447,99904805,...,2061544444936768137934956003049946416305787166997225980715050283324610717662513528661224730089792179550733262131624471909515865186185358451130658208656323621397054173953608895761971448823834844387835614960668786971433777170081811474130082028158019808833566033790227932748581760173598708523845920386669643022103879653316194462010602176256902205006588591998978788369213603235108735841285765327117243829225383973008781594688688329870681132775657409529775214628809700863913882009577335508126819365699641606428862719912185741054760989732388542952096024666929952458559895546857041603997158468765998304188871982169129911046662575077579572741958513187333580787176280605606431981979169839087831984945653107795305342236083547944098067050993592746745249354457190594256352367087198266154272870345797082560060089978684599521798957300384793777520205866527298362203376523950173849816643498560542559579862871303722953023193871094599431604275016338723957373758759524735537323850344401536204418055534440286832105893832994107365644898147374414793574986039426077913139846096524181569896444361397482470462880712047880094378862488531938024616771813798521025736404299697031458404753867486854007810801688784060861795679596717913433755141508736050467758682750274759838461703309372002686890424396077602610085219015265190026502267671264771564425123193784026577731056202117728760526778422195727171154339061564254243734515299635199723690581739775068123127973832828781874413935965541136107014573581691730885874060814134898047249399008033736893382088955963499270308710800464364839209475856669221623373569174298874871742726190159029621910510707940319041494060945363408098567489569654243951745742592402612966505500448104703190315617532641298197092888841487316258284775365139772326956479192556445506141369555246236254627780619313830073925571649439042096962704704768458870949948534073419056776356875587595534779669018825838457134340638377238810627192627692451769293591557708746520329747607573045393944612490825323400147559837047945646437476981228527345393886136372647384891541632174248855646173601009494179803937284246131310249847744722217049742494634001270926985950984090720846399206032657000302984903766087126128766044592407841098597765990318776297580260803900683093169336734039553410904199941439793627693015999932131405086365816972129364746627947064483032900318195883083832186385419891302725826333704774648567025297576105698628182267486577944104621877020000559096611377882403549164386556037513484101890622405007633222645044464876814701777024797199550026899713806178581873029294792000035190018780085415227286519569254705899693361539349850793776022038045605027741107062837325132752334564314367777520289931829129319027576478507245944933686952316828002107456145324670466190370502729717235407351260187821979358738157120800477023562825088972390744822669523348249057304840243186932787518247623222962212239020898416792838755039826963807636158359563285655039434702611904035411745284687030877908940595752901158313894397048493400130603298475168544600796872921572583695364159473527287362125584424119709180372152432264777840436003378838564342282082719402884151401725663887294543621216914118193789323359559691571376028560607686}
19998 295216032541871160475278047685518164088101569493877612320740323913028061: {99965,119958,139937,199910,239892,379601,679286,738557,918758,1216157,1414817,1573601,1875206,2077816,2128337,2167901,2337543,2352566,2475412,2602577,2720957,3035896,3115037,3296535,3305558,3415383,3516304,3547601,3900797,3955842,4256246,4631416,4722401,4894855,4950328,5093115,5210343,5340436,5346017,5432656,5540477,5569119,5873826,6111738,6122657,6238877,6625757,6862456,6992650,7250199,7627901,7720263,7858397,8195092,8241917,8391180,8586401,8683035,8930237,8950592,9087715,9120977,9209558,9261904,9577937,9919901,9989500,10069416,10092436,10145846,10147517,10419642,10526237,10613126,10765447,10828637,10905258,11055101,11092817,11205917,11328093,11632696,11770337,11958077,11985172,11987400,11995601,12268635,12585016,12786560,12982450,13086544,13086783,13485825,13675901,14158143,14232401,14344612,14384880,14639357,14722362,14792583,15119057,15150399,15286372,15343872,15379210,15578940,15849915,16070215,16071928,16182990,16388536,16403837,16405526,16440401,16617536,16769117,16906576,17261856,17306187,17323958,17388257,17533601,17715101,18041297,18080919,18402977,18437103,18455052,18694728,18943997,19019898,19041892,19284258,19339601,19419588,19698401,19913297,20556257,20814328,20861335,21031569,21213735,21303101,21846436,21881558,21970300,22059115,22076536,22107926,22496047,22575197,22627984,22957450,23011958,23416119,23417501,23652856,23913686,23941601,23967928,24175636,24255197,24429137,24637601,24640612,24651835,24776417,24836103,25033602,25364957,25456482,25526487,25710077,25833955,26131567,26157926,26364360,26470938,26609463,26963919,27048401,27402956,27423677,27429496,27548940,28121984,28372216,28746401,28948817,29202943,29385536,29386397,29453597,29504571,29582202,29659905,29755601,29889617,30131835,30255928,30388675,30391037,30591101,30858183,30879667,30922287,31000746,31056797,31120036,31255901,31401799,31510456,31637232,31659063,31785437,31884497,31918743,32137210,32140624,32145446,32543057,32804246,33058728,33850577,33915617,34013117,34037919,34045601,34402397,35177501,35209697,35449263,35591886,36158202,36171412,36171857,36205816,36267677,36427217,36466410,36618401,36830776,36905650,37095101,37107499,37171106,37191069,37330810,37379558,37380257,37411901,37767736,37999636,38079928,38545757,38564652,38897504,39147080,39264737,39731357,39750806,39948497,40197235,40227101,40517967,40731543,40733332,40797915,41149255,41304401,41335037,41434623,41464406,41688267,41718490,41793617,42067901,42220001,42488703,42493277,42550036,42839919,42947297,43128401,43517776,43759692,44040465,44059517,44113810,44208977,44286780,44344635,44362132,44477501,44621176,44796972,44814436,44863958,44923601,45367901,45545117,45910300,45914911,45918758,45928097,46075037,46174456,46280417,46368317,46656159,46690001,46710055,46806737,46976496,47071636,47232458,47239232,47300944,47301437,47522212,47618263,47678177,47808326,47995901,48017558,48024737,48235675,48236682,48957498,48966328,49028957,49379106,50062188,50198823,50301051,50390237,50559101,50587217,50877715,51116452,51147857,51259601,51844157,51927377,51946263,52062328,52257898,52378166,52429125,52507901,52645411,52645601,52848558,52936572,52969287,53101580,53141506,53144136,53213562,53303777,53331101,53576657,54444497,54525437,55087119,55090001,55092360,55197137,55249958,55723915,55730897,55924400,56028436,56052066,56314337,57283958,57339101,57882810,57885857,57963677,58249636,58295558,58351697,58488315,58570119,58660817,58765184,58784650,58789277,59250077,59504957,59784401,59787153,59936271,60081976,60264797,60463636,61004536,61023991,61053258,61108886,61142177,61167101,61741664,61978905,62229652,62387536,62415625,62504966,62797306,62867537,62914950,62916257,63058675,63135101,63159377,63721896,64075576,64075937,64315217,64933601,65075537,65309092,65311457,65592730,65640401,65915128,66011407,66110832,66363197,66479057,66516716,66710177,66728650,66868698,67032401,67042406,67055357,67109280,67170017,67293015,67474940,67523155,67592223,67752376,67808417,67921757,68018726,68026090,68057501,68147837,68530337,68568807,68597597,68630103,68648515,68670136,68991446,69155297,69247636,69266237,69277327,69459372,70078555,70185978,70198456,70255697,70347206,70541580,70798397,70807335,71057117,71228957,71250401,71357501,71583232,71677601,71687133,71779216,71805137,72030328,72085023,72122717,72207101,72682450,72843783,72940001,73228646,73580957,73745117,74154519,74317335,74334764,74356157,74374686,74384947,74654140,74658977,74752166,74898750,75207730,75244352,75497297,75497940,75527824,75576401,75670410,75859400,75989597,76048337,76165601,76221423,76438097,76599928,76631777,76670417,77208017,77246177,77253903,77485732,77531357,77541763,77720477,77823015,78423736,78520646,78707558,78711276,78893537,78973263,78978835,79168157,79204637,79217479,79271824,79277501,79334776,79549601,79892000,79909601,79931852,80074380,80383286,80531136,80549537,80715104,80751618,80969928,81027786,81034119,81065823,81074897,81127037,81155128,81322087,81448791,81458296,81631308,81644477,81917501,82272737,82356797,82378218,82524317,82599446,82674401,82757501,83011216,83073435,83398817,83765851,83883857,84094266,84430406,84519377,84649896,84707537,84941117,84968802,84976886,85158758,85341825,85412672,85540001,85676477,85824519,85902497,86067101,86126717,86174919,86201057,86304797,86378657,86422877,86511101,86568315,86721115,86789126,86875601,87177130,87177917,87218940,87508216,87631887,87782611,87883517,87939101,88063697,88226703,88269917,88297277,88413496,88420001,88611664,88715128,88824401,88837757,88974055,89023901,89092234,89103197,89180802,89251623,89584968,89611601,89624477,89836886,89878500,89918417,90195617,90249276,90276171,90281572,90370001,90597528,90677501,90725366,90750557,90804492,90931937,90967997,91031280,91091169,91099601,91218401,91299519,91324637,91453601,91627901,91640583,91818843,92016317,92184737,92315558,92339536,92743901,92809636,92968097,93033536,93231928,93387618,93487697,93518237,93528401,93559543,93639677,93669857,93703900,93769937,93938237,93967697,94036157,94113917,94171901,94258337,94302010,94325117,94455452,94551101,94772477,94774602,94953437,94962401,95021031,95023880,95034616,95231133,95323037,95485601,95578397,95686817,95777501,95870400,95935096,95980646,96027857,96051677,96089256,96138401,96216401,96331901,96377597,96415457,96461650,96623777,96638417,96711137,96775901,96811601,96818717,97083197,97100032,97150877,97349117,97360166,97417492,97483601,97571297,97735997,97813217,98020001,98103101,98152097,98211101,98232317,98242877,98290001,98341601,98387357,98397437,98412497,98446743,98539015,98559686,98592317,98629757,98634401,98657501,98698577,98835101,98860637,98881697,98923217,98967610,99003857,99062237,99071606,99077501,99096401,99187901,99236957,99241958,99260897,99277757,99340001,99355901,99384017,99465183,99505567,99506657,99547037,99585617,99610337,99617597,99657377,99666401,99688122,99696977,99727997,99741857,99751517,99768401,99804519,99843101,99865757,99876317,99888797,99912401,99935057,99946877,99951101,99954401,99959837,99960401,99967457,99971537,99975101,99975377,...,3092316667405152206902434004574919624458680750495838971072575424986916076493770292991837095134688269326099893197436707864273797779278037676695987312984485432095581260930413343642957173235752266581753422441003180457150665755122717211195123042237029713250349050685341899122872640260398062785768880580004464533155819479974291693015903264385353307509882887998468182553820404852663103761928647990675865743838075959513172392033032494806021699163486114294662821943214551295870823014366003262190229048549462409643294079868278611582141484598582814428144037000394928687839843320285562405995737703148997456283307973253694866569993862616369359112937769781000371180764420908409647972968754758631747977418479661692958013354125321916147100576490389120117874031685785891384528550630797399231409305518695623840090134968026899282698435950577190666280308799790947543305064785925260774724965247840813839369794306955584429534790806641899147406412524508085936060638139287103305985775516602304306627083301660430248158840749491161048467347221061622190362479059139116869709769144786272354844666542096223705694321068071820141568293732797907036925157720697781538604606449545547187607130801230281011716202533176091292693519395076870150632712263104075701638024125412139757692554964058004030335636594116403915127828522897785039753401506897157346637684790676039866596584303176593140790167633293590756731508592346381365601772949452799585535872609662602184691960749243172811620903948311704160521860372537596328811091221202347070874098512050605340073133433945248905463066200696547258814213785003832435060353761448312307614089285238544432865766061910478562241091418045112147851234354481365927618613888603919449758250672157054785473426298961947295639333262230974387427163047709658490434718788834668259212054332869354381941670928970745110888357474158563145444057057152688306424922801110128585164535313381393302169503528238757685701510957565858215940788941538677653940387336563119780494621411359568090916918736237985100221339755571918469656215471842791018090829204558971077337312448261373283469260401514241269705905926369196965374771617083325574613741951001906390478926476136081269598809048985500454477355649130689193149066888611761647896648985478164446370391205851024639754005101059330116356299912159690441539523999898197107629548725458194047119941920596724549350477293824625748279578129836954088739500557161972850537946364158547942273401229866916156932815530000838644917066823605323746579834056270226152835933607511449833967566697315222052665537195799325040349570709267872809543942188000052785028170128122840929779353882058849540042309024776190664033057068407541611660594255987699128501846471551666280434897743693978541364717760868917400530428475242003161184217987005699285555754094575853111026890281732969038107235681200715535344237633458586117234004285022373585957260364780399181277371434834443318358531347625189258132559740445711454237539344928482559152053917856053117617927030546316863410893629351737470841595572740100195904947712752816901195309382358875543046239210290931043188376636179563770558228648397166760654005068257846513423124079104326227102588495830941815431825371177290683985039339537357064042840911529}
19999 296359969542957354917635528124371339582299166311849865611114424507924732: {39994,159944,179937,299865,319856,359838,1018929,1378137,1818089,2597270,2656409,2812809,3076766,3094265,3116724,3375437,3528849,3713118,3794870,4052489,4331537,4395380,4553844,4753574,4958337,5274456,5712278,5789270,5933763,5968937,6004649,6187910,6384369,6448049,6675545,6790820,6947124,7205921,7425492,7831768,8010654,8104166,8148984,8578070,8810739,9167607,9595469,9666932,10101278,10178609,10243865,10293684,10488975,11011889,11188240,11450726,11538614,11577380,11749961,11936678,12292638,12486875,12586770,12615545,12894806,13371017,13425888,13814337,13892856,14062937,14339969,14540344,14540870,14793254,14981465,14984250,15104124,15138654,15218769,15284009,15629463,15731270,15919689,15983200,16238486,16288529,16357887,16358180,17349449,17449044,17930765,17977758,17981100,18212537,18877524,18897437,19107965,19159457,19179840,19316969,19473675,19629816,19723444,19799486,20066489,20089910,20200532,20458496,20485670,20696249,20771920,20971937,21026246,21133220,21223697,21516918,21577320,21983798,22083543,22929558,23015808,23068815,23074916,23086121,23368410,23802365,24000809,24107892,24274485,24363014,24582804,24606736,24608289,24825689,24848969,24926304,25080029,25327217,25349249,25359864,25712344,25865246,25892784,25985937,26017910,26473937,27308045,27462875,27571649,27595670,27682578,27745817,28042092,28123046,28284980,28529847,28562838,28926387,29129382,29147894,29360606,29566070,29959910,30219545,30800765,31061846,31221492,31680089,31691129,31980278,32226929,32769654,32822337,32955450,33046769,33114804,33161889,33319937,33378136,33635681,33932774,33941976,34035316,34253695,34286870,34436175,34517937,35152480,35294584,35465270,35479284,35846726,35870529,35908454,35951892,36263454,36731920,36759398,36819137,36960918,37550403,37819910,38078054,38184723,38900045,39043529,39236889,39339428,39388070,39442936,39546540,39706407,40175780,40402649,41104434,41144244,41229716,41312006,41323410,41334328,41388326,42182976,42212084,42443126,42558324,42654449,42845537,43027049,43082174,44078304,44373303,44559437,44658398,45214265,45257270,45361814,45383892,45554537,45570281,45902417,46038470,46501119,46680054,46889009,47209670,47265684,47386406,47455848,47499545,47599910,47905289,48205815,48210936,48218169,48621880,48708161,48933850,49206369,49588092,49660637,49772921,49806569,50916665,51419536,51651329,52253657,52400081,52571729,53187545,53378969,53387829,53720189,54023956,54237303,54257118,54308724,54397220,54589094,54640577,54699615,54918449,55246164,55358475,55452665,55584356,55756659,55776470,55875878,55996215,56018045,56066129,56069337,56651604,56999454,57027497,57119892,57292937,57300209,57387875,57675737,57718070,57846978,58043966,58308809,58346256,58720620,58776377,58839545,59049040,59126180,59283329,59342729,59402765,59626209,59729296,59831837,60086369,60190166,60434246,60927677,61099998,61207910,61423649,62196609,62203577,62208212,62577735,62635328,62780621,62806814,62866649,63026537,63825054,63895565,64315576,65077910,65276664,65434118,65639538,65838808,65878937,66086846,66170715,66376975,66430170,66462737,66543198,66749584,66931764,67024937,67068068,67195458,67221654,67264598,67295937,67343201,67619318,68620769,68865450,68878137,68950349,69257414,69261684,69362846,69417929,69905500,70035545,70213238,70464744,70582096,70607454,70625716,70848687,70858848,70951416,70972109,71010737,71276009,71283318,71566409,71712489,72026337,72355023,72634814,72812045,72815006,73081769,73436247,73449492,73456480,74068659,74220557,74278937,74736088,74906369,75093282,75102470,75408278,75579545,75943838,76031009,76255670,76329014,76569689,76674678,76898429,77177080,77361809,77535206,77625737,77787065,77984420,78093492,78114017,78386847,78567249,78987197,79272837,79404858,79652370,79712259,79716204,79820343,79915028,80067149,80094470,80797094,81404344,81577937,81636365,81749921,82393910,82638540,82874937,83145895,83155289,83183129,83886600,83943209,84041078,84042654,84078099,84343675,84690470,84962528,85194689,85567169,85725254,85837670,85925937,85936601,86043977,86559545,86787401,86824215,87374454,87443337,87748070,87928937,88147776,88176975,89158264,89183129,89479040,89724020,90037910,90122964,90208589,90384881,90519329,90695454,91011809,91131398,91425076,91506804,91543961,91579887,91663329,92316329,92428694,92572121,92612496,92918455,93317675,93344478,93358937,93581304,93757449,93768566,94055440,94195959,94372425,94409780,94478777,94771889,94824250,95582844,95749910,96113364,96417137,96857165,96957278,97001009,97125044,97603337,97785374,97963638,98029670,98182337,98292038,98389095,98525849,98676446,98817929,98872692,99089780,99102029,99166248,99168470,99775074,99865000,99914815,...,4123088889873536275869912006099892832611574333994451961430100566649221435325027057322449460179584359101466524263248943819031730372370716902261316417312647242794108347907217791523942897647669688775671229921337573942867554340163622948260164056316039617667132067580455865497163520347197417047691840773339286044207759306632388924021204352513804410013177183997957576738427206470217471682571530654234487658450767946017563189377376659741362265551314819059550429257619401727827764019154671016253638731399283212857725439824371482109521979464777085904192049333859904917119791093714083207994316937531996608377743964338259822093325150155159145483917026374667161574352561211212863963958339678175663969891306215590610684472167095888196134101987185493490498708914381188512704734174396532308545740691594165120120179957369199043597914600769587555040411733054596724406753047900347699633286997121085119159725742607445906046387742189198863208550032677447914747517519049471074647700688803072408836111068880573664211787665988214731289796294748829587149972078852155826279692193048363139792888722794964940925761424095760188757724977063876049233543627597042051472808599394062916809507734973708015621603377568121723591359193435826867510283017472100935517365500549519676923406618744005373780848792155205220170438030530380053004535342529543128850246387568053155462112404235457521053556844391454342308678123128508487469030599270399447381163479550136246255947665657563748827871931082272214029147163383461771748121628269796094498798016067473786764177911926998540617421600928729678418951713338443246747138348597749743485452380318059243821021415880638082988121890726816197134979139308487903491485184805225933011000896209406380631235065282596394185777682974632516569550730279544653912958385112891012282739110492472509255561238627660147851143298878084193925409409536917741899897068146838113552713751175191069559338037651676914268681276754477621254385255384903538587183115417493040659495215146090787889224981650646800295119674095891292874953962457054690787772272745294769783083264348497711292347202018988359607874568492262620499695489444434099484989268002541853971901968181441692798412065314000605969807532174252257532089184815682197195531980637552595160521607801366186338673468079106821808399882879587255386031999864262810172731633944258729493255894128966065800636391766167664372770839782605451652667409549297134050595152211397256364534973155888209243754040001118193222755764807098328773112075026968203781244810015266445290088929753629403554049594399100053799427612357163746058589584000070380037560170830454573039138509411799386723078699701587552044076091210055482214125674650265504669128628735555040579863658258638055152957014491889867373904633656004214912290649340932380741005459434470814702520375643958717476314241600954047125650177944781489645339046696498114609680486373865575036495246445924424478041796833585677510079653927615272316719126571310078869405223808070823490569374061755817881191505802316627788794096986800261206596950337089201593745843145167390728318947054574724251168848239418360744304864529555680872006757677128684564165438805768302803451327774589087242433828236387578646719119383142752057121215372}
20000 297508308032166811857148393865940260456118346194307342681532949542757038: {59991,139951,199930,239916,279874,399820,479784,539757,738631,759202,1358572,1454671,1477114,1837516,2168119,2432314,2760679,2829634,3115351,3147202,3587239,3750412,3895905,3940399,4155632,4256674,4335802,4410271,4615149,4675086,4705132,4761919,4950824,5205154,5441914,5494225,5569677,5579911,5692305,6071792,6162031,6230074,6593070,6611116,6830766,6852797,7032608,7095202,7130361,7782391,7801594,7911684,8488525,8512492,8568417,8683905,8931151,9262832,9281865,9444802,9730999,9789710,9900656,10186230,10186471,10420686,10680872,10692034,10865312,11080954,11093959,11138238,11207071,11747652,11884231,11996839,12015981,12083665,12156249,12223476,12245314,12477754,12722801,12867105,13251514,13342519,13724912,13985300,14011471,14122711,14455999,14471725,14500398,14788639,15120631,15151917,15255802,15440526,15716794,16390184,16442119,16483834,16782360,17172802,17176089,17307921,17366070,17535439,17860474,17901184,17905017,18175430,18241954,18419116,18438957,18523808,18837919,18880155,19155874,19342209,19377559,19839802,19979000,20138832,20184872,20291692,20295034,20447725,20558431,20839284,21052474,21226252,21530894,21657274,21810516,21811305,22110202,22185634,22189881,22411834,22476375,22498301,22656186,22707981,22788631,23265392,23540674,23596905,23916154,23970344,23974800,23991202,24357729,24537270,24654305,24674959,25170032,25250665,25573120,25964900,26173088,26173566,26416525,26846191,26966637,26971650,27051319,27351802,27460711,28316286,28464802,28479151,28580599,28689224,28769760,28843645,28884511,29205869,29278714,29444724,29585166,29699229,29792359,30134865,30238114,30300798,30572744,30687744,30728505,30758420,30882761,30993751,31093399,31157880,31539369,31699830,31887991,32140430,32143856,32275377,32365980,32382271,32480911,32579479,32776399,32777072,32807674,32811052,32880802,32975697,33235072,33267439,33538234,33813152,33854311,33951871,34049359,34394337,34512569,34523712,34612374,34647916,34776514,35052615,35067202,35213599,35356225,35430202,35791831,36082594,36161838,36167537,36175879,36463159,36544521,36805954,36874206,36910104,37111217,37389456,37416079,37887994,38039796,38083784,38173231,38550079,38568516,38679202,38797869,38839176,39026865,39396802,39766879,39826594,39952999,40509631,40602151,41059777,41112514,41339719,41393505,41523867,41628656,41722670,41889871,42063138,42184569,42427470,42544145,42606202,42844257,43692872,43694073,43721841,43763116,43794991,43854317,43940600,44040909,44118230,44153072,44215852,44349105,44512399,44601751,44939865,44992094,45150394,45255968,45491311,45914900,46023916,46109719,46461511,46592769,46812151,46832238,46835002,47305712,47827372,47883202,47935856,47970417,48030319,48116791,48351272,48510394,48634111,48858274,49154481,49174285,49275202,49281224,49303670,49433175,49552834,49672206,50067204,50219725,50339791,50593159,50729914,50899161,50912964,51052974,51265639,51420154,51430305,51516631,51537145,51667910,52099759,52263134,52315852,52679359,52728720,52765105,52941876,53197905,53218926,53337439,53770089,53862681,53927838,54096802,54395181,54477991,54558919,54720559,54805912,54847354,54858992,55097880,55123399,55139097,55203751,55441377,55684351,56243968,56276129,56729865,56744432,56874511,57117081,57492802,57608957,57897634,58358791,58405886,58771072,58772794,58822111,58907194,59009142,59082105,59164404,59319810,59435839,59511202,59512231,59779234,60263670,60511856,60649471,60724711,60777350,60782074,61174639,61182202,61656651,61716366,61759334,61844574,61968009,61985115,62001492,62082489,62113594,62240072,62511802,62655679,62803598,63020912,63167239,63274464,63312751,63318126,63570874,63602911,63664689,63768994,63837486,64274420,64281248,64290892,64323271,64623261,65086114,65107351,65178199,65319679,65394077,65608492,66092671,66117456,66987597,67063879,67201471,67529945,67701154,67831234,67885905,67953079,67996525,68026234,68042721,68075838,68091202,68156551,68804794,69057705,69097519,69480445,69826951,70001041,70020081,70286599,70355002,70417279,70419394,70814505,70898526,71079609,71183772,71228801,71259679,71388199,71399865,72153271,72216559,72316404,72342824,72343714,72411632,72531919,72535354,72782911,72854434,72932820,72970399,73095031,73236802,73400775,73590679,73661552,73811300,73907725,74081719,74190202,74214998,74342212,74382138,74661620,74689039,74759116,74760514,74823802,74869831,75535472,75764071,75999272,76117231,76159856,76757959,77091514,77129304,77275711,77760265,77795008,78013481,78294160,78349591,78529474,78904351,79179031,79233751,79288399,79462714,79501612,79896994,79938559,80313031,80366239,80394470,80454202,80472439,81035934,81103591,81155719,81385677,81463086,81466664,81595830,81883641,81928999,82183159,82298510,82586071,82608802,82670074,82785799,82835551,82869246,82928812,83376534,83436980,83587234,83664705,83813817,83835085,84135802,84294631,84440002,84531511,84625759,84953359,84977406,84986554,85100072,85499181,85643479,85679838,85800649,85894594,86094559,86139271,86256802,86577105,86770467,86801311,86844871,87035552,87065949,87381875,87519384,88080930,88119034,88227620,88282145,88417954,88568839,88573560,88689270,88724264,88851079,88931071,88955002,89050519,89129791,89169319,89242352,89326711,89593944,89628872,89638039,89727916,89847202,89906671,89944759,90020719,90285249,90433351,90651369,90735802,90800911,90945919,90981991,91090234,91161271,91649997,91811865,91820600,91829822,91837516,91856194,91928719,92030671,92150074,92266039,92348912,92365831,92398951,92560834,92693791,92736634,93297079,93312318,93328111,93380002,93420110,93543319,93613474,93620657,93694879,93952992,93992599,94143272,94196719,94210221,94340359,94464916,94478464,94532417,94601888,94602874,94705399,94815271,94977919,95044424,95111479,95236526,95356354,95616652,95702671,95737581,95801599,95850631,95971951,95991802,96035116,96049474,96107921,96232519,96471350,96473364,96618079,96640111,96683959,96835159,97003639,97147279,97480525,97616865,97914996,97932656,97935031,98009437,98057914,98109977,98151177,98169391,98281279,98343631,98459307,98464879,98567191,98652079,98758212,98761231,98852959,98878519,98907457,99013951,99025831,99084151,99130269,99173719,99206119,99248311,99477271,99560431,99568351,99576199,99643591,99645255,99678511,99794791,99814797,99840799,99863839,99872551,99893785,99896959,99908191,99928711,99980119,99990199,99991351,99995239,...,6184633334810304413804868009149839248917361500991677942145150849973832152987540585983674190269376538652199786394873415728547595558556075353391974625968970864191162521860826687285914346471504533163506844882006360914301331510245434422390246084474059426500698101370683798245745280520796125571537761160008929066311638959948583386031806528770706615019765775996936365107640809705326207523857295981351731487676151919026344784066064989612043398326972228589325643886429102591741646028732006524380458097098924819286588159736557223164282969197165628856288074000789857375679686640571124811991475406297994912566615946507389733139987725232738718225875539562000742361528841816819295945937509517263495954836959323385916026708250643832294201152980778240235748063371571782769057101261594798462818611037391247680180269936053798565396871901154381332560617599581895086610129571850521549449930495681627678739588613911168859069581613283798294812825049016171872121276278574206611971551033204608613254166603320860496317681498982322096934694442123244380724958118278233739419538289572544709689333084192447411388642136143640283136587465595814073850315441395563077209212899091094375214261602460562023432405066352182585387038790153740301265424526208151403276048250824279515385109928116008060671273188232807830255657045795570079506803013794314693275369581352079733193168606353186281580335266587181513463017184692762731203545898905599171071745219325204369383921498486345623241807896623408321043720745075192657622182442404694141748197024101210680146266867890497810926132401393094517628427570007664870120707522896624615228178570477088865731532123820957124482182836090224295702468708962731855237227777207838899516501344314109570946852597923894591278666524461948774854326095419316980869437577669336518424108665738708763883341857941490221776714948317126290888114114305376612849845602220257170329070626762786604339007056477515371403021915131716431881577883077355307880774673126239560989242822719136181833837472475970200442679511143836939312430943685582036181658409117942154674624896522746566938520803028482539411811852738393930749543234166651149227483902003812780957852952272162539197618097971000908954711298261378386298133777223523295793297970956328892740782411702049279508010202118660232712599824319380883079047999796394215259097450916388094239883841193449098700954587649251496559156259673908177479001114323945701075892728317095884546802459733832313865631060001677289834133647210647493159668112540452305671867215022899667935133394630444105331074391598650080699141418535745619087884376000105570056340256245681859558707764117699080084618049552381328066114136815083223321188511975398257003692943103332560869795487387957082729435521737834801060856950484006322368435974011398571111508189151706222053780563465938076214471362401431070688475266917172234468008570044747171914520729560798362554742869668886636717062695250378516265119480891422908475078689856965118304107835712106235235854061092633726821787258703474941683191145480200391809895425505633802390618764717751086092478420581862086376753272359127541116457296794333521308010136515693026846248158208652454205176991661883630863650742354581367970078679074714128085681823058}